%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET018-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 17:43:39 EDT 2024

% Result   : Unsatisfiable 0.41s 0.58s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15  % Problem    : SET018-1 : TPTP v8.2.0. Released v1.0.0.
% 0.14/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.37  % Computer : n017.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue May 28 12:08:54 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.24/0.54  %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.41/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.Fz825FybRg/cvc5---1.0.5_4233.smt2
% 0.41/0.58  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.Fz825FybRg/cvc5---1.0.5_4233.smt2
% 0.41/0.62  (assume a0 (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X))))
% 0.41/0.62  (assume a1 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))))
% 0.41/0.62  (assume a2 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))))
% 0.41/0.62  (assume a3 (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))))
% 0.41/0.62  (assume a4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))))
% 0.41/0.62  (assume a5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))))
% 0.41/0.62  (assume a6 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)))
% 0.41/0.62  (assume a7 (not (= tptp.r1 tptp.r2)))
% 0.41/0.62  (step t1 (cl (not (= (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (not (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))))) (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) :rule equiv_pos2)
% 0.41/0.62  (step t2 (cl (= (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule refl)
% 0.41/0.62  (step t3 (cl (= (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule refl)
% 0.41/0.62  (step t4 (cl (= (= (= (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) true) (= (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) :rule equiv_simplify)
% 0.41/0.62  (step t5 (cl (not (= (= (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) true)) (= (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) :rule equiv1 :premises (t4))
% 0.41/0.62  (step t6 (cl (= (= (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))))) :rule all_simplify)
% 0.41/0.62  (step t7 (cl (= (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) :rule refl)
% 0.41/0.62  (step t8 (cl (= (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) :rule all_simplify)
% 0.41/0.62  (step t9 (cl (= (= (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (= (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) :rule cong :premises (t7 t8))
% 0.41/0.62  (step t10 (cl (= (= (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) true)) :rule all_simplify)
% 0.41/0.62  (step t11 (cl (= (= (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) true)) :rule trans :premises (t9 t10))
% 0.41/0.62  (step t12 (cl (= (= (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) true)) :rule trans :premises (t6 t11))
% 0.41/0.62  (step t13 (cl (= (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) :rule resolution :premises (t5 t12))
% 0.41/0.62  (step t14 (cl (= (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) :rule cong :premises (t2 t3 t13))
% 0.41/0.62  (step t15 (cl (not (= (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))))) (not (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))))) :rule equiv_pos2)
% 0.41/0.62  (step t16 (cl (= (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))))) :rule refl)
% 0.41/0.62  (step t17 (cl (= (= (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false) (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))))) :rule equiv_simplify)
% 0.41/0.62  (step t18 (cl (= (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false) (not (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))))) :rule equiv2 :premises (t17))
% 0.41/0.62  (step t19 (cl (not (not (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule not_not)
% 0.41/0.62  (step t20 (cl (= (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t18 t19))
% 0.41/0.62  (step t21 (cl (=> (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t22)
% 0.41/0.62  (assume t22.a0 (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))
% 0.41/0.62  (assume t22.a1 (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))
% 0.41/0.62  (assume t22.a2 (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))
% 0.41/0.62  (step t22.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 0.41/0.62  (step t22.t2 (cl (= (= true false) false)) :rule all_simplify)
% 0.41/0.62  (step t22.t3 (cl (= (= (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) true) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule equiv_simplify)
% 0.41/0.62  (step t22.t4 (cl (= (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) true) (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule equiv2 :premises (t22.t3))
% 0.41/0.62  (step t22.t5 (cl (= (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) true)) :rule resolution :premises (t22.t4 t22.a2))
% 0.41/0.62  (step t22.t6 (cl (= true (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule symm :premises (t22.t5))
% 0.41/0.62  (step t22.t7 (cl (= tptp.m2 tptp.m2)) :rule refl)
% 0.41/0.62  (step t22.t8 (cl (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1))) :rule symm :premises (t22.a1))
% 0.41/0.62  (step t22.t9 (cl (= (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) :rule cong :premises (t22.t7 t22.t8))
% 0.41/0.62  (step t22.t10 (cl (= (= (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)) false) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) :rule equiv_simplify)
% 0.41/0.62  (step t22.t11 (cl (= (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)) false) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) :rule equiv2 :premises (t22.t10))
% 0.41/0.62  (step t22.t12 (cl (not (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) :rule not_not)
% 0.41/0.62  (step t22.t13 (cl (= (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)) false) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) :rule resolution :premises (t22.t11 t22.t12))
% 0.41/0.62  (step t22.t14 (cl (= (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)) false)) :rule resolution :premises (t22.t13 t22.a0))
% 0.41/0.62  (step t22.t15 (cl (= true false)) :rule trans :premises (t22.t6 t22.t9 t22.t14))
% 0.41/0.62  (step t22.t16 (cl false) :rule resolution :premises (t22.t1 t22.t2 t22.t15))
% 0.41/0.62  (step t22 (cl (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false) :rule subproof :discharge (t22.a0 t22.a1 t22.a2))
% 0.41/0.62  (step t23 (cl (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) :rule and_pos)
% 0.41/0.62  (step t24 (cl (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.62  (step t25 (cl (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.62  (step t26 (cl false (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t22 t23 t24 t25))
% 0.41/0.62  (step t27 (cl (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) false) :rule reordering :premises (t26))
% 0.41/0.62  (step t28 (cl (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) false) :rule contraction :premises (t27))
% 0.41/0.62  (step t29 (cl (=> (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false) false) :rule resolution :premises (t21 t28))
% 0.41/0.62  (step t30 (cl (=> (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false) (not false)) :rule implies_neg2)
% 0.41/0.62  (step t31 (cl (=> (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false) (=> (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false)) :rule resolution :premises (t29 t30))
% 0.41/0.62  (step t32 (cl (=> (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false)) :rule contraction :premises (t31))
% 0.41/0.62  (step t33 (cl (= (=> (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false) (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))))) :rule implies_simplify)
% 0.41/0.62  (step t34 (cl (not (=> (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false)) (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule equiv1 :premises (t33))
% 0.41/0.62  (step t35 (cl (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t32 t34))
% 0.41/0.62  (step t36 (cl (= (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) false)) :rule resolution :premises (t20 t35))
% 0.41/0.62  (step t37 (cl (= (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) false))) :rule cong :premises (t16 t36))
% 0.41/0.62  (step t38 (cl (= (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) false) (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))))) :rule all_simplify)
% 0.41/0.62  (step t39 (cl (= (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))))) :rule trans :premises (t37 t38))
% 0.41/0.62  (step t40 (cl (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t41)
% 0.41/0.62  (assume t41.a0 (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))
% 0.41/0.62  (assume t41.a1 (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))
% 0.41/0.62  (assume t41.a2 (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))
% 0.41/0.62  (step t41.t1 (cl (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_neg)
% 0.41/0.62  (step t41.t2 (cl (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t41.t1 t41.a2 t41.a1 t41.a0))
% 0.41/0.62  (step t41 (cl (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule subproof :discharge (t41.a0 t41.a1 t41.a2))
% 0.41/0.62  (step t42 (cl (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.62  (step t43 (cl (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.62  (step t44 (cl (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) :rule and_pos)
% 0.41/0.62  (step t45 (cl (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))))) :rule resolution :premises (t41 t42 t43 t44))
% 0.41/0.62  (step t46 (cl (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule reordering :premises (t45))
% 0.41/0.62  (step t47 (cl (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t46))
% 0.41/0.62  (step t48 (cl (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t40 t47))
% 0.41/0.62  (step t49 (cl (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg2)
% 0.41/0.62  (step t50 (cl (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t48 t49))
% 0.41/0.62  (step t51 (cl (=> (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) (and (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t50))
% 0.41/0.62  (step t52 (cl (not (and (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))))) :rule resolution :premises (t15 t39 t51))
% 0.41/0.62  (step t53 (cl (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) :rule not_and :premises (t52))
% 0.41/0.62  (step t54 (cl (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (not (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule or_neg)
% 0.41/0.62  (step t55 (cl (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (not (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule or_neg)
% 0.41/0.62  (step t56 (cl (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (not (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))))) :rule or_neg)
% 0.41/0.62  (step t57 (cl (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))))) :rule resolution :premises (t53 t54 t55 t56))
% 0.41/0.62  (step t58 (cl (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))))) :rule contraction :premises (t57))
% 0.41/0.62  (step t59 (cl (or (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) :rule resolution :premises (t1 t14 t58))
% 0.41/0.62  (step t60 (cl (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) :rule or :premises (t59))
% 0.41/0.62  (step t61 (cl (not (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule or_pos)
% 0.41/0.62  (step t62 (cl (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule reordering :premises (t61))
% 0.41/0.62  (step t63 (cl (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule and_neg)
% 0.41/0.62  (step t64 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t65)
% 0.41/0.62  (assume t65.a0 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)))
% 0.41/0.62  (assume t65.a1 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.62  (assume t65.a2 (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.62  (assume t65.a3 (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.62  (step t65.t1 (cl (=> (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t65.t2)
% 0.41/0.62  (assume t65.t2.a0 (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.62  (assume t65.t2.a1 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.62  (assume t65.t2.a2 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)))
% 0.41/0.62  (assume t65.t2.a3 (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.62  (step t65.t2.t1 (cl (= (= (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) true) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule equiv_simplify)
% 0.41/0.62  (step t65.t2.t2 (cl (not (= (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) true)) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule equiv1 :premises (t65.t2.t1))
% 0.41/0.62  (step t65.t2.t3 (cl (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m1))) :rule refl)
% 0.41/0.62  (step t65.t2.t4 (cl (= (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.ordered_pair tptp.m2 tptp.r2))) :rule symm :premises (t65.t2.a3))
% 0.41/0.62  (step t65.t2.t5 (cl (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.ordered_pair tptp.m1 tptp.r1))) :rule symm :premises (t65.t2.a2))
% 0.41/0.62  (step t65.t2.t6 (cl (= (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)) (tptp.ordered_pair tptp.m1 tptp.r1))) :rule symm :premises (t65.t2.a1))
% 0.41/0.62  (step t65.t2.t7 (cl (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule symm :premises (t65.t2.t6))
% 0.41/0.62  (step t65.t2.t8 (cl (= (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule trans :premises (t65.t2.t4 t65.t2.t5 t65.t2.t7))
% 0.41/0.62  (step t65.t2.t9 (cl (= (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule cong :premises (t65.t2.t3 t65.t2.t8))
% 0.41/0.62  (step t65.t2.t10 (cl (= (= (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) true) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule equiv_simplify)
% 0.41/0.62  (step t65.t2.t11 (cl (= (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) true) (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule equiv2 :premises (t65.t2.t10))
% 0.41/0.62  (step t65.t2.t12 (cl (= (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) true)) :rule resolution :premises (t65.t2.t11 t65.t2.a0))
% 0.41/0.62  (step t65.t2.t13 (cl (= (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) true)) :rule trans :premises (t65.t2.t9 t65.t2.t12))
% 0.41/0.62  (step t65.t2.t14 (cl (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t65.t2.t2 t65.t2.t13))
% 0.41/0.62  (step t65.t2 (cl (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule subproof :discharge (t65.t2.a0 t65.t2.a1 t65.t2.a2 t65.t2.a3))
% 0.41/0.62  (step t65.t3 (cl (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule and_pos)
% 0.41/0.62  (step t65.t4 (cl (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule and_pos)
% 0.41/0.62  (step t65.t5 (cl (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.62  (step t65.t6 (cl (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_pos)
% 0.41/0.62  (step t65.t7 (cl (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))))) :rule resolution :premises (t65.t2 t65.t3 t65.t4 t65.t5 t65.t6))
% 0.41/0.62  (step t65.t8 (cl (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule reordering :premises (t65.t7))
% 0.41/0.62  (step t65.t9 (cl (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t65.t8))
% 0.41/0.62  (step t65.t10 (cl (=> (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t65.t1 t65.t9))
% 0.41/0.62  (step t65.t11 (cl (=> (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg2)
% 0.41/0.62  (step t65.t12 (cl (=> (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t65.t10 t65.t11))
% 0.41/0.62  (step t65.t13 (cl (=> (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t65.t12))
% 0.41/0.62  (step t65.t14 (cl (not (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies :premises (t65.t13))
% 0.41/0.62  (step t65.t15 (cl (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule and_neg)
% 0.41/0.62  (step t65.t16 (cl (and (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t65.t15 t65.a3 t65.a1 t65.a0 t65.a2))
% 0.41/0.62  (step t65.t17 (cl (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t65.t14 t65.t16))
% 0.41/0.62  (step t65 (cl (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule subproof :discharge (t65.a0 t65.a1 t65.a2 t65.a3))
% 0.41/0.62  (step t66 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.62  (step t67 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule and_pos)
% 0.41/0.62  (step t68 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_pos)
% 0.41/0.62  (step t69 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule and_pos)
% 0.41/0.62  (step t70 (cl (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))))) :rule resolution :premises (t65 t66 t67 t68 t69))
% 0.41/0.62  (step t71 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule reordering :premises (t70))
% 0.41/0.62  (step t72 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t71))
% 0.41/0.62  (step t73 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t64 t72))
% 0.41/0.62  (step t74 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg2)
% 0.41/0.62  (step t75 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t73 t74))
% 0.41/0.62  (step t76 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t75))
% 0.41/0.62  (step t77 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies :premises (t76))
% 0.41/0.62  (step t78 (cl (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t63 t77))
% 0.41/0.62  (step t79 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y))))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t80)
% 0.41/0.62  (assume t80.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))))
% 0.41/0.62  (step t80.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule forall_inst :args ((:= X tptp.m1) (:= Y tptp.r1)))
% 0.41/0.62  (step t80.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule or :premises (t80.t1))
% 0.41/0.62  (step t80.t3 (cl (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t80.t2 t80.a0))
% 0.41/0.62  (step t80 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule subproof :discharge (t80.a0))
% 0.41/0.62  (step t81 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t79 t80))
% 0.41/0.62  (step t82 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule implies_neg2)
% 0.41/0.62  (step t83 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule resolution :premises (t81 t82))
% 0.41/0.62  (step t84 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule contraction :premises (t83))
% 0.41/0.62  (step t85 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule implies :premises (t84))
% 0.41/0.62  (step t86 (cl (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t85 a5))
% 0.41/0.62  (step t87 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y))))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t88)
% 0.41/0.62  (assume t88.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))))
% 0.41/0.62  (step t88.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y))))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule forall_inst :args ((:= X tptp.m2) (:= Y tptp.r2)))
% 0.41/0.62  (step t88.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y))))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule or :premises (t88.t1))
% 0.41/0.62  (step t88.t3 (cl (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t88.t2 t88.a0))
% 0.41/0.62  (step t88 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y))))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule subproof :discharge (t88.a0))
% 0.41/0.62  (step t89 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t87 t88))
% 0.41/0.62  (step t90 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg2)
% 0.41/0.62  (step t91 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t89 t90))
% 0.41/0.62  (step t92 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t91))
% 0.41/0.62  (step t93 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y))))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies :premises (t92))
% 0.41/0.62  (step t94 (cl (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t93 a5))
% 0.41/0.62  (step t95 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y)))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t96)
% 0.41/0.62  (assume t96.a0 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))))
% 0.41/0.62  (step t96.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule forall_inst :args ((:= X (tptp.singleton_set tptp.m1)) (:= Y (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.62  (step t96.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule or :premises (t96.t1))
% 0.41/0.62  (step t96.t3 (cl (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t96.t2 t96.a0))
% 0.41/0.62  (step t96 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule subproof :discharge (t96.a0))
% 0.41/0.62  (step t97 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t95 t96))
% 0.41/0.62  (step t98 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule implies_neg2)
% 0.41/0.62  (step t99 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule resolution :premises (t97 t98))
% 0.41/0.62  (step t100 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule contraction :premises (t99))
% 0.41/0.62  (step t101 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y)))) (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule implies :premises (t100))
% 0.41/0.62  (step t102 (cl (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t101 a2))
% 0.41/0.62  (step t103 (cl (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t78 a6 t86 t94 t102))
% 0.41/0.62  (step t104 (cl (not (= (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (not (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) :rule equiv_pos2)
% 0.41/0.62  (step t105 (cl (= (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))))) :rule refl)
% 0.41/0.62  (step t106 (cl (= (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))))) :rule refl)
% 0.41/0.62  (step t107 (cl (= (= (= (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) true) (= (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) :rule equiv_simplify)
% 0.41/0.62  (step t108 (cl (not (= (= (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) true)) (= (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) :rule equiv1 :premises (t107))
% 0.41/0.62  (step t109 (cl (= (= (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))))) :rule all_simplify)
% 0.41/0.62  (step t110 (cl (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) :rule refl)
% 0.41/0.62  (step t111 (cl (= (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) :rule all_simplify)
% 0.41/0.62  (step t112 (cl (= (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) :rule cong :premises (t110 t111))
% 0.41/0.62  (step t113 (cl (= (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) true)) :rule all_simplify)
% 0.41/0.62  (step t114 (cl (= (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) true)) :rule trans :premises (t112 t113))
% 0.41/0.62  (step t115 (cl (= (= (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) true)) :rule trans :premises (t109 t114))
% 0.41/0.62  (step t116 (cl (= (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) :rule resolution :premises (t108 t115))
% 0.41/0.62  (step t117 (cl (= (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) :rule cong :premises (t105 t106 t116))
% 0.41/0.62  (step t118 (cl (=> (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) false) (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t119)
% 0.41/0.62  (assume t119.a0 (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)))
% 0.41/0.62  (assume t119.a1 (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))
% 0.41/0.62  (assume t119.a2 (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))
% 0.41/0.62  (step t119.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 0.41/0.62  (step t119.t2 (cl (= (= false true) false)) :rule all_simplify)
% 0.41/0.62  (step t119.t3 (cl (= (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)) false) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) :rule equiv_simplify)
% 0.41/0.62  (step t119.t4 (cl (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)) false) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) :rule equiv2 :premises (t119.t3))
% 0.41/0.62  (step t119.t5 (cl (not (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) :rule not_not)
% 0.41/0.62  (step t119.t6 (cl (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)) false) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) :rule resolution :premises (t119.t4 t119.t5))
% 0.41/0.62  (step t119.t7 (cl (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)) false)) :rule resolution :premises (t119.t6 t119.a2))
% 0.41/0.62  (step t119.t8 (cl (= false (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) :rule symm :premises (t119.t7))
% 0.41/0.62  (step t119.t9 (cl (= tptp.m1 tptp.m1)) :rule refl)
% 0.41/0.62  (step t119.t10 (cl (= (tptp.singleton_set tptp.m2) (tptp.singleton_set tptp.m1))) :rule symm :premises (t119.a1))
% 0.41/0.62  (step t119.t11 (cl (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)))) :rule cong :premises (t119.t9 t119.t10))
% 0.41/0.62  (step t119.t12 (cl (= (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) true) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)))) :rule equiv_simplify)
% 0.41/0.62  (step t119.t13 (cl (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) true) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)))) :rule equiv2 :premises (t119.t12))
% 0.41/0.62  (step t119.t14 (cl (= (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) true)) :rule resolution :premises (t119.t13 t119.a0))
% 0.41/0.62  (step t119.t15 (cl (= false true)) :rule trans :premises (t119.t8 t119.t11 t119.t14))
% 0.41/0.62  (step t119.t16 (cl false) :rule resolution :premises (t119.t1 t119.t2 t119.t15))
% 0.41/0.62  (step t119 (cl (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) false) :rule subproof :discharge (t119.a0 t119.a1 t119.a2))
% 0.41/0.62  (step t120 (cl (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) :rule and_pos)
% 0.41/0.62  (step t121 (cl (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) :rule and_pos)
% 0.41/0.62  (step t122 (cl (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) :rule and_pos)
% 0.41/0.62  (step t123 (cl false (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))))) :rule resolution :premises (t119 t120 t121 t122))
% 0.41/0.62  (step t124 (cl (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) false) :rule reordering :premises (t123))
% 0.41/0.62  (step t125 (cl (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) false) :rule contraction :premises (t124))
% 0.41/0.62  (step t126 (cl (=> (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) false) false) :rule resolution :premises (t118 t125))
% 0.41/0.62  (step t127 (cl (=> (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) false) (not false)) :rule implies_neg2)
% 0.41/0.62  (step t128 (cl (=> (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) false) (=> (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) false)) :rule resolution :premises (t126 t127))
% 0.41/0.62  (step t129 (cl (=> (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) false)) :rule contraction :premises (t128))
% 0.41/0.62  (step t130 (cl (= (=> (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) false) (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))))) :rule implies_simplify)
% 0.41/0.62  (step t131 (cl (not (=> (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) false)) (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))))) :rule equiv1 :premises (t130))
% 0.41/0.62  (step t132 (cl (not (and (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))))) :rule resolution :premises (t129 t131))
% 0.41/0.62  (step t133 (cl (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) :rule not_and :premises (t132))
% 0.41/0.62  (step t134 (cl (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))))) :rule or_neg)
% 0.41/0.62  (step t135 (cl (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (not (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))))) :rule or_neg)
% 0.41/0.62  (step t136 (cl (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (not (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))))) :rule or_neg)
% 0.41/0.62  (step t137 (cl (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))))) :rule resolution :premises (t133 t134 t135 t136))
% 0.41/0.62  (step t138 (cl (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))))) :rule contraction :premises (t137))
% 0.41/0.62  (step t139 (cl (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) :rule resolution :premises (t104 t117 t138))
% 0.41/0.62  (step t140 (cl (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) :rule or :premises (t139))
% 0.41/0.62  (step t141 (cl (=> (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X)))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t142)
% 0.41/0.62  (assume t142.a0 (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X))))
% 0.41/0.62  (step t142.t1 (cl (or (not (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)))) :rule forall_inst :args ((:= X tptp.m1)))
% 0.41/0.62  (step t142.t2 (cl (not (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) :rule or :premises (t142.t1))
% 0.41/0.62  (step t142.t3 (cl (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) :rule resolution :premises (t142.t2 t142.a0))
% 0.41/0.62  (step t142 (cl (not (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) :rule subproof :discharge (t142.a0))
% 0.41/0.62  (step t143 (cl (=> (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) :rule resolution :premises (t141 t142))
% 0.41/0.62  (step t144 (cl (=> (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)))) :rule implies_neg2)
% 0.41/0.62  (step t145 (cl (=> (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) (=> (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)))) :rule resolution :premises (t143 t144))
% 0.41/0.62  (step t146 (cl (=> (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1)))) :rule contraction :premises (t145))
% 0.41/0.62  (step t147 (cl (not (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X)))) (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) :rule implies :premises (t146))
% 0.41/0.62  (step t148 (cl (tptp.member tptp.m1 (tptp.singleton_set tptp.m1))) :rule resolution :premises (t147 a0))
% 0.41/0.62  (step t149 (cl (not (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2))) (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2)) :rule or_pos)
% 0.41/0.62  (step t150 (cl (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2) (not (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2)))) :rule reordering :premises (t149))
% 0.41/0.62  (step t151 (cl (not (= (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (or (= tptp.r1 tptp.r2) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))))) (not (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2)))) (or (= tptp.r1 tptp.r2) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2)))) :rule equiv_pos2)
% 0.41/0.62  (step t152 (cl (= (= (= (not (not (= tptp.r1 tptp.r2))) (= tptp.r1 tptp.r2)) true) (= (not (not (= tptp.r1 tptp.r2))) (= tptp.r1 tptp.r2)))) :rule equiv_simplify)
% 0.41/0.62  (step t153 (cl (not (= (= (not (not (= tptp.r1 tptp.r2))) (= tptp.r1 tptp.r2)) true)) (= (not (not (= tptp.r1 tptp.r2))) (= tptp.r1 tptp.r2))) :rule equiv1 :premises (t152))
% 0.41/0.62  (step t154 (cl (= (= (not (not (= tptp.r1 tptp.r2))) (= tptp.r1 tptp.r2)) (= (= tptp.r1 tptp.r2) (not (not (= tptp.r1 tptp.r2)))))) :rule all_simplify)
% 0.41/0.62  (step t155 (cl (= (= tptp.r1 tptp.r2) (= tptp.r1 tptp.r2))) :rule refl)
% 0.41/0.62  (step t156 (cl (= (not (not (= tptp.r1 tptp.r2))) (= tptp.r1 tptp.r2))) :rule all_simplify)
% 0.41/0.62  (step t157 (cl (= (= (= tptp.r1 tptp.r2) (not (not (= tptp.r1 tptp.r2)))) (= (= tptp.r1 tptp.r2) (= tptp.r1 tptp.r2)))) :rule cong :premises (t155 t156))
% 0.41/0.62  (step t158 (cl (= (= (= tptp.r1 tptp.r2) (= tptp.r1 tptp.r2)) true)) :rule all_simplify)
% 0.41/0.62  (step t159 (cl (= (= (= tptp.r1 tptp.r2) (not (not (= tptp.r1 tptp.r2)))) true)) :rule trans :premises (t157 t158))
% 0.41/0.62  (step t160 (cl (= (= (not (not (= tptp.r1 tptp.r2))) (= tptp.r1 tptp.r2)) true)) :rule trans :premises (t154 t159))
% 0.41/0.62  (step t161 (cl (= (not (not (= tptp.r1 tptp.r2))) (= tptp.r1 tptp.r2))) :rule resolution :premises (t153 t160))
% 0.41/0.62  (step t162 (cl (= (not (= tptp.m1 tptp.m2)) (not (= tptp.m1 tptp.m2)))) :rule refl)
% 0.41/0.62  (step t163 (cl (= (not (= tptp.r1 tptp.m2)) (not (= tptp.r1 tptp.m2)))) :rule refl)
% 0.41/0.62  (step t164 (cl (= (not (= tptp.m1 tptp.r2)) (not (= tptp.m1 tptp.r2)))) :rule refl)
% 0.41/0.62  (step t165 (cl (= (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (or (= tptp.r1 tptp.r2) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))))) :rule cong :premises (t161 t162 t163 t164))
% 0.41/0.62  (step t166 (cl (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2)) (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2))) :rule and_neg)
% 0.41/0.62  (step t167 (cl (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t168)
% 0.41/0.62  (assume t168.a0 (not (= tptp.r1 tptp.r2)))
% 0.41/0.62  (assume t168.a1 (= tptp.m1 tptp.m2))
% 0.41/0.62  (assume t168.a2 (= tptp.r1 tptp.m2))
% 0.41/0.62  (step t168.t1 (cl (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t168.t2)
% 0.41/0.62  (assume t168.t2.a0 (not (= tptp.r1 tptp.r2)))
% 0.41/0.62  (assume t168.t2.a1 (= tptp.r1 tptp.m2))
% 0.41/0.62  (assume t168.t2.a2 (= tptp.m1 tptp.m2))
% 0.41/0.62  (step t168.t2.t1 (cl (= (= (= tptp.m1 tptp.r2) false) (not (= tptp.m1 tptp.r2)))) :rule equiv_simplify)
% 0.41/0.62  (step t168.t2.t2 (cl (not (= (= tptp.m1 tptp.r2) false)) (not (= tptp.m1 tptp.r2))) :rule equiv1 :premises (t168.t2.t1))
% 0.41/0.62  (step t168.t2.t3 (cl (= tptp.m2 tptp.m1)) :rule symm :premises (t168.t2.a2))
% 0.41/0.62  (step t168.t2.t4 (cl (= tptp.m1 tptp.m2)) :rule symm :premises (t168.t2.t3))
% 0.41/0.62  (step t168.t2.t5 (cl (= tptp.m2 tptp.r1)) :rule symm :premises (t168.t2.a1))
% 0.41/0.62  (step t168.t2.t6 (cl (= tptp.m1 tptp.r1)) :rule trans :premises (t168.t2.t4 t168.t2.t5))
% 0.41/0.62  (step t168.t2.t7 (cl (= tptp.r2 tptp.r2)) :rule refl)
% 0.41/0.62  (step t168.t2.t8 (cl (= (= tptp.m1 tptp.r2) (= tptp.r1 tptp.r2))) :rule cong :premises (t168.t2.t6 t168.t2.t7))
% 0.41/0.62  (step t168.t2.t9 (cl (= (= (= tptp.r1 tptp.r2) false) (not (= tptp.r1 tptp.r2)))) :rule equiv_simplify)
% 0.41/0.62  (step t168.t2.t10 (cl (= (= tptp.r1 tptp.r2) false) (not (not (= tptp.r1 tptp.r2)))) :rule equiv2 :premises (t168.t2.t9))
% 0.41/0.62  (step t168.t2.t11 (cl (not (not (not (= tptp.r1 tptp.r2)))) (= tptp.r1 tptp.r2)) :rule not_not)
% 0.41/0.62  (step t168.t2.t12 (cl (= (= tptp.r1 tptp.r2) false) (= tptp.r1 tptp.r2)) :rule resolution :premises (t168.t2.t10 t168.t2.t11))
% 0.41/0.62  (step t168.t2.t13 (cl (= (= tptp.r1 tptp.r2) false)) :rule resolution :premises (t168.t2.t12 t168.t2.a0))
% 0.41/0.62  (step t168.t2.t14 (cl (= (= tptp.m1 tptp.r2) false)) :rule trans :premises (t168.t2.t8 t168.t2.t13))
% 0.41/0.62  (step t168.t2.t15 (cl (not (= tptp.m1 tptp.r2))) :rule resolution :premises (t168.t2.t2 t168.t2.t14))
% 0.41/0.62  (step t168.t2 (cl (not (not (= tptp.r1 tptp.r2))) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.m2)) (not (= tptp.m1 tptp.r2))) :rule subproof :discharge (t168.t2.a0 t168.t2.a1 t168.t2.a2))
% 0.41/0.62  (step t168.t3 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) (not (= tptp.r1 tptp.r2))) :rule and_pos)
% 0.41/0.62  (step t168.t4 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) (= tptp.r1 tptp.m2)) :rule and_pos)
% 0.41/0.62  (step t168.t5 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) (= tptp.m1 tptp.m2)) :rule and_pos)
% 0.41/0.62  (step t168.t6 (cl (not (= tptp.m1 tptp.r2)) (not (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) (not (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) (not (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2)))) :rule resolution :premises (t168.t2 t168.t3 t168.t4 t168.t5))
% 0.41/0.62  (step t168.t7 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) (not (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) (not (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) (not (= tptp.m1 tptp.r2))) :rule reordering :premises (t168.t6))
% 0.41/0.62  (step t168.t8 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) (not (= tptp.m1 tptp.r2))) :rule contraction :premises (t168.t7))
% 0.41/0.62  (step t168.t9 (cl (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (not (= tptp.m1 tptp.r2))) :rule resolution :premises (t168.t1 t168.t8))
% 0.41/0.62  (step t168.t10 (cl (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (not (not (= tptp.m1 tptp.r2)))) :rule implies_neg2)
% 0.41/0.62  (step t168.t11 (cl (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2)) (not (= tptp.m1 tptp.r2)))) :rule resolution :premises (t168.t9 t168.t10))
% 0.41/0.62  (step t168.t12 (cl (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2)) (not (= tptp.m1 tptp.r2)))) :rule contraction :premises (t168.t11))
% 0.41/0.62  (step t168.t13 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) (not (= tptp.m1 tptp.r2))) :rule implies :premises (t168.t12))
% 0.41/0.62  (step t168.t14 (cl (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2)) (not (not (= tptp.r1 tptp.r2))) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.m2))) :rule and_neg)
% 0.41/0.62  (step t168.t15 (cl (and (not (= tptp.r1 tptp.r2)) (= tptp.r1 tptp.m2) (= tptp.m1 tptp.m2))) :rule resolution :premises (t168.t14 t168.a0 t168.a2 t168.a1))
% 0.41/0.62  (step t168.t16 (cl (not (= tptp.m1 tptp.r2))) :rule resolution :premises (t168.t13 t168.t15))
% 0.41/0.62  (step t168 (cl (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) :rule subproof :discharge (t168.a0 t168.a1 t168.a2))
% 0.41/0.62  (step t169 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2))) (not (= tptp.r1 tptp.r2))) :rule and_pos)
% 0.41/0.62  (step t170 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2))) (= tptp.m1 tptp.m2)) :rule and_pos)
% 0.41/0.62  (step t171 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2))) (= tptp.r1 tptp.m2)) :rule and_pos)
% 0.41/0.62  (step t172 (cl (not (= tptp.m1 tptp.r2)) (not (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2))) (not (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2))) (not (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2)))) :rule resolution :premises (t168 t169 t170 t171))
% 0.41/0.62  (step t173 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2))) (not (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2))) (not (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2))) (not (= tptp.m1 tptp.r2))) :rule reordering :premises (t172))
% 0.41/0.62  (step t174 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2))) (not (= tptp.m1 tptp.r2))) :rule contraction :premises (t173))
% 0.41/0.62  (step t175 (cl (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (not (= tptp.m1 tptp.r2))) :rule resolution :premises (t167 t174))
% 0.41/0.62  (step t176 (cl (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (not (not (= tptp.m1 tptp.r2)))) :rule implies_neg2)
% 0.41/0.62  (step t177 (cl (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2)))) :rule resolution :premises (t175 t176))
% 0.41/0.62  (step t178 (cl (=> (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2)))) :rule contraction :premises (t177))
% 0.41/0.62  (step t179 (cl (not (and (not (= tptp.r1 tptp.r2)) (= tptp.m1 tptp.m2) (= tptp.r1 tptp.m2))) (not (= tptp.m1 tptp.r2))) :rule implies :premises (t178))
% 0.41/0.62  (step t180 (cl (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) :rule resolution :premises (t166 t179))
% 0.41/0.62  (step t181 (cl (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (not (not (not (= tptp.r1 tptp.r2))))) :rule or_neg)
% 0.41/0.62  (step t182 (cl (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (not (not (= tptp.m1 tptp.m2)))) :rule or_neg)
% 0.41/0.62  (step t183 (cl (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (not (not (= tptp.r1 tptp.m2)))) :rule or_neg)
% 0.41/0.62  (step t184 (cl (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (not (not (= tptp.m1 tptp.r2)))) :rule or_neg)
% 0.41/0.62  (step t185 (cl (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2)))) :rule resolution :premises (t180 t181 t182 t183 t184))
% 0.41/0.62  (step t186 (cl (or (not (not (= tptp.r1 tptp.r2))) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2)))) :rule contraction :premises (t185))
% 0.41/0.62  (step t187 (cl (or (= tptp.r1 tptp.r2) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2)))) :rule resolution :premises (t151 t165 t186))
% 0.41/0.62  (step t188 (cl (= tptp.r1 tptp.r2) (not (= tptp.m1 tptp.m2)) (not (= tptp.r1 tptp.m2)) (not (= tptp.m1 tptp.r2))) :rule or :premises (t187))
% 0.41/0.62  (step t189 (cl (not (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.m1 tptp.r2) (= tptp.r1 tptp.r2))) (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.m1 tptp.r2) (= tptp.r1 tptp.r2)) :rule or_pos)
% 0.41/0.62  (step t190 (cl (= tptp.r1 tptp.r2) (= tptp.m1 tptp.r2) (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (not (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.m1 tptp.r2) (= tptp.r1 tptp.r2)))) :rule reordering :premises (t189))
% 0.41/0.62  (step t191 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.m1 tptp.r2) (= tptp.r1 tptp.r2))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.m1 tptp.r2) (= tptp.r1 tptp.r2)))) :rule equiv_pos2)
% 0.41/0.62  (step t192 (cl (= (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))))) :rule refl)
% 0.41/0.62  (step t193 (cl (= (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule refl)
% 0.41/0.62  (step t194 (cl (= (= tptp.r2 tptp.m1) (= tptp.m1 tptp.r2))) :rule all_simplify)
% 0.41/0.62  (step t195 (cl (= (= tptp.r2 tptp.r1) (= tptp.r1 tptp.r2))) :rule all_simplify)
% 0.41/0.62  (step t196 (cl (= (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1)) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.m1 tptp.r2) (= tptp.r1 tptp.r2)))) :rule cong :premises (t193 t194 t195))
% 0.41/0.62  (step t197 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.m1 tptp.r2) (= tptp.r1 tptp.r2))))) :rule cong :premises (t192 t196))
% 0.41/0.62  (step t198 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) :rule implies_neg1)
% 0.41/0.62  (anchor :step t199)
% 0.41/0.62  (assume t199.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))))
% 0.41/0.62  (step t199.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1)))) :rule forall_inst :args ((:= X tptp.r2) (:= Y tptp.m1) (:= Z tptp.r1)))
% 0.41/0.63  (step t199.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1))) :rule or :premises (t199.t1))
% 0.41/0.63  (step t199.t3 (cl (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1))) :rule resolution :premises (t199.t2 t199.a0))
% 0.41/0.63  (step t199 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1))) :rule subproof :discharge (t199.a0))
% 0.41/0.63  (step t200 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1))) :rule resolution :premises (t198 t199))
% 0.41/0.63  (step t201 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1))) (not (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1)))) :rule implies_neg2)
% 0.41/0.63  (step t202 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1)))) :rule resolution :premises (t200 t201))
% 0.41/0.63  (step t203 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1)))) :rule contraction :premises (t202))
% 0.41/0.63  (step t204 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.m1 tptp.r2) (= tptp.r1 tptp.r2)))) :rule resolution :premises (t191 t197 t203))
% 0.41/0.63  (step t205 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.m1 tptp.r2) (= tptp.r1 tptp.r2))) :rule implies :premises (t204))
% 0.41/0.63  (step t206 (cl (or (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (= tptp.m1 tptp.r2) (= tptp.r1 tptp.r2))) :rule resolution :premises (t205 a4))
% 0.41/0.63  (step t207 (cl (not (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2))) (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2)) :rule or_pos)
% 0.41/0.63  (step t208 (cl (= tptp.r1 tptp.r2) (= tptp.r1 tptp.m2) (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2)))) :rule reordering :premises (t207))
% 0.41/0.63  (step t209 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t210)
% 0.41/0.63  (assume t210.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))))
% 0.41/0.63  (step t210.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2)))) :rule forall_inst :args ((:= X tptp.r1) (:= Y tptp.m2) (:= Z tptp.r2)))
% 0.41/0.63  (step t210.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2))) :rule or :premises (t210.t1))
% 0.41/0.63  (step t210.t3 (cl (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2))) :rule resolution :premises (t210.t2 t210.a0))
% 0.41/0.63  (step t210 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2))) :rule subproof :discharge (t210.a0))
% 0.41/0.63  (step t211 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2))) (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2))) :rule resolution :premises (t209 t210))
% 0.41/0.63  (step t212 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2))) (not (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2)))) :rule implies_neg2)
% 0.41/0.63  (step t213 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2)))) :rule resolution :premises (t211 t212))
% 0.41/0.63  (step t214 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2)))) :rule contraction :premises (t213))
% 0.41/0.63  (step t215 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2))) :rule implies :premises (t214))
% 0.41/0.63  (step t216 (cl (or (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.r1 tptp.m2) (= tptp.r1 tptp.r2))) :rule resolution :premises (t215 a4))
% 0.41/0.63  (step t217 (cl (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_neg)
% 0.41/0.63  (step t218 (cl (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t219)
% 0.41/0.63  (assume t219.a0 (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)))
% 0.41/0.63  (assume t219.a1 (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))
% 0.41/0.63  (step t219.t1 (cl (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t219.t2)
% 0.41/0.63  (assume t219.t2.a0 (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)))
% 0.41/0.63  (assume t219.t2.a1 (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))
% 0.41/0.63  (step t219.t2.t1 (cl (= (= (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)) true) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule equiv_simplify)
% 0.41/0.63  (step t219.t2.t2 (cl (not (= (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)) true)) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule equiv1 :premises (t219.t2.t1))
% 0.41/0.63  (step t219.t2.t3 (cl (= tptp.r2 tptp.r2)) :rule refl)
% 0.41/0.63  (step t219.t2.t4 (cl (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1))) :rule symm :premises (t219.t2.a1))
% 0.41/0.63  (step t219.t2.t5 (cl (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule symm :premises (t219.t2.t4))
% 0.41/0.63  (step t219.t2.t6 (cl (= (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule cong :premises (t219.t2.t3 t219.t2.t5))
% 0.41/0.63  (step t219.t2.t7 (cl (= (= (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) true) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule equiv_simplify)
% 0.41/0.63  (step t219.t2.t8 (cl (= (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) true) (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule equiv2 :premises (t219.t2.t7))
% 0.41/0.63  (step t219.t2.t9 (cl (= (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) true)) :rule resolution :premises (t219.t2.t8 t219.t2.a0))
% 0.41/0.63  (step t219.t2.t10 (cl (= (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)) true)) :rule trans :premises (t219.t2.t6 t219.t2.t9))
% 0.41/0.63  (step t219.t2.t11 (cl (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule resolution :premises (t219.t2.t2 t219.t2.t10))
% 0.41/0.63  (step t219.t2 (cl (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule subproof :discharge (t219.t2.a0 t219.t2.a1))
% 0.41/0.63  (step t219.t3 (cl (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.63  (step t219.t4 (cl (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.63  (step t219.t5 (cl (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)) (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t219.t2 t219.t3 t219.t4))
% 0.41/0.63  (step t219.t6 (cl (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule reordering :premises (t219.t5))
% 0.41/0.63  (step t219.t7 (cl (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule contraction :premises (t219.t6))
% 0.41/0.63  (step t219.t8 (cl (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule resolution :premises (t219.t1 t219.t7))
% 0.41/0.63  (step t219.t9 (cl (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule implies_neg2)
% 0.41/0.63  (step t219.t10 (cl (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t219.t8 t219.t9))
% 0.41/0.63  (step t219.t11 (cl (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule contraction :premises (t219.t10))
% 0.41/0.63  (step t219.t12 (cl (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule implies :premises (t219.t11))
% 0.41/0.63  (step t219.t13 (cl (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_neg)
% 0.41/0.63  (step t219.t14 (cl (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t219.t13 t219.a0 t219.a1))
% 0.41/0.63  (step t219.t15 (cl (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule resolution :premises (t219.t12 t219.t14))
% 0.41/0.63  (step t219 (cl (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule subproof :discharge (t219.a0 t219.a1))
% 0.41/0.63  (step t220 (cl (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.63  (step t221 (cl (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.63  (step t222 (cl (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)) (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t219 t220 t221))
% 0.41/0.63  (step t223 (cl (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule reordering :premises (t222))
% 0.41/0.63  (step t224 (cl (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule contraction :premises (t223))
% 0.41/0.63  (step t225 (cl (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule resolution :premises (t218 t224))
% 0.41/0.63  (step t226 (cl (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule implies_neg2)
% 0.41/0.63  (step t227 (cl (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t225 t226))
% 0.41/0.63  (step t228 (cl (=> (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule contraction :premises (t227))
% 0.41/0.63  (step t229 (cl (not (and (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule implies :premises (t228))
% 0.41/0.63  (step t230 (cl (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule resolution :premises (t217 t229))
% 0.41/0.63  (step t231 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t232)
% 0.41/0.63  (assume t232.a0 (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))))
% 0.41/0.63  (step t232.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule forall_inst :args ((:= Y tptp.r2) (:= X tptp.m2)))
% 0.41/0.63  (step t232.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule or :premises (t232.t1))
% 0.41/0.63  (step t232.t3 (cl (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t232.t2 t232.a0))
% 0.41/0.63  (step t232 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule subproof :discharge (t232.a0))
% 0.41/0.63  (step t233 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t231 t232))
% 0.41/0.63  (step t234 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies_neg2)
% 0.41/0.63  (step t235 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t233 t234))
% 0.41/0.63  (step t236 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t235))
% 0.41/0.63  (step t237 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule implies :premises (t236))
% 0.41/0.63  (step t238 (cl (tptp.member tptp.r2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t237 a3))
% 0.41/0.63  (step t239 (cl (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_neg)
% 0.41/0.63  (step t240 (cl (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t241)
% 0.41/0.63  (assume t241.a0 (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)))
% 0.41/0.63  (assume t241.a1 (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))
% 0.41/0.63  (step t241.t1 (cl (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t241.t2)
% 0.41/0.63  (assume t241.t2.a0 (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)))
% 0.41/0.63  (assume t241.t2.a1 (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))
% 0.41/0.63  (step t241.t2.t1 (cl (= (= (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)) true) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule equiv_simplify)
% 0.41/0.63  (step t241.t2.t2 (cl (not (= (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)) true)) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule equiv1 :premises (t241.t2.t1))
% 0.41/0.63  (step t241.t2.t3 (cl (= tptp.r1 tptp.r1)) :rule refl)
% 0.41/0.63  (step t241.t2.t4 (cl (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1))) :rule symm :premises (t241.t2.a1))
% 0.41/0.63  (step t241.t2.t5 (cl (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule symm :premises (t241.t2.t4))
% 0.41/0.63  (step t241.t2.t6 (cl (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1))) :rule symm :premises (t241.t2.t5))
% 0.41/0.63  (step t241.t2.t7 (cl (= (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule cong :premises (t241.t2.t3 t241.t2.t6))
% 0.41/0.63  (step t241.t2.t8 (cl (= (= (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) true) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule equiv_simplify)
% 0.41/0.63  (step t241.t2.t9 (cl (= (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) true) (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule equiv2 :premises (t241.t2.t8))
% 0.41/0.63  (step t241.t2.t10 (cl (= (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) true)) :rule resolution :premises (t241.t2.t9 t241.t2.a0))
% 0.41/0.63  (step t241.t2.t11 (cl (= (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)) true)) :rule trans :premises (t241.t2.t7 t241.t2.t10))
% 0.41/0.63  (step t241.t2.t12 (cl (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t241.t2.t2 t241.t2.t11))
% 0.41/0.63  (step t241.t2 (cl (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule subproof :discharge (t241.t2.a0 t241.t2.a1))
% 0.41/0.63  (step t241.t3 (cl (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule and_pos)
% 0.41/0.63  (step t241.t4 (cl (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.63  (step t241.t5 (cl (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)) (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t241.t2 t241.t3 t241.t4))
% 0.41/0.63  (step t241.t6 (cl (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule reordering :premises (t241.t5))
% 0.41/0.63  (step t241.t7 (cl (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule contraction :premises (t241.t6))
% 0.41/0.63  (step t241.t8 (cl (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t241.t1 t241.t7))
% 0.41/0.63  (step t241.t9 (cl (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies_neg2)
% 0.41/0.63  (step t241.t10 (cl (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t241.t8 t241.t9))
% 0.41/0.63  (step t241.t11 (cl (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t241.t10))
% 0.41/0.63  (step t241.t12 (cl (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule implies :premises (t241.t11))
% 0.41/0.63  (step t241.t13 (cl (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_neg)
% 0.41/0.63  (step t241.t14 (cl (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t241.t13 t241.a0 t241.a1))
% 0.41/0.63  (step t241.t15 (cl (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t241.t12 t241.t14))
% 0.41/0.63  (step t241 (cl (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule subproof :discharge (t241.a0 t241.a1))
% 0.41/0.63  (step t242 (cl (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule and_pos)
% 0.41/0.63  (step t243 (cl (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.63  (step t244 (cl (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)) (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t241 t242 t243))
% 0.41/0.63  (step t245 (cl (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule reordering :premises (t244))
% 0.41/0.63  (step t246 (cl (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule contraction :premises (t245))
% 0.41/0.63  (step t247 (cl (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t240 t246))
% 0.41/0.63  (step t248 (cl (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies_neg2)
% 0.41/0.63  (step t249 (cl (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t247 t248))
% 0.41/0.63  (step t250 (cl (=> (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t249))
% 0.41/0.63  (step t251 (cl (not (and (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule implies :premises (t250))
% 0.41/0.63  (step t252 (cl (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t239 t251))
% 0.41/0.63  (step t253 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t254)
% 0.41/0.63  (assume t254.a0 (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))))
% 0.41/0.63  (step t254.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule forall_inst :args ((:= Y tptp.r1) (:= X tptp.m1)))
% 0.41/0.63  (step t254.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule or :premises (t254.t1))
% 0.41/0.63  (step t254.t3 (cl (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule resolution :premises (t254.t2 t254.a0))
% 0.41/0.63  (step t254 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule subproof :discharge (t254.a0))
% 0.41/0.63  (step t255 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule resolution :premises (t253 t254))
% 0.41/0.63  (step t256 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) (not (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule implies_neg2)
% 0.41/0.63  (step t257 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t255 t256))
% 0.41/0.63  (step t258 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule contraction :premises (t257))
% 0.41/0.63  (step t259 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule implies :premises (t258))
% 0.41/0.63  (step t260 (cl (tptp.member tptp.r1 (tptp.unordered_pair tptp.m1 tptp.r1))) :rule resolution :premises (t259 a3))
% 0.41/0.63  (step t261 (cl (not (= tptp.m1 tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t188 a7 t190 t206 a7 t208 t216 a7 t230 t238 t252 t260))
% 0.41/0.63  (step t262 (cl (not (= tptp.m1 tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t261))
% 0.41/0.63  (step t263 (cl (not (= (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))))) (not (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule equiv_pos2)
% 0.41/0.63  (step t264 (cl (= (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))))) :rule refl)
% 0.41/0.63  (step t265 (cl (= (= (= (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) true) (= (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule equiv_simplify)
% 0.41/0.63  (step t266 (cl (not (= (= (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) true)) (= (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule equiv1 :premises (t265))
% 0.41/0.63  (step t267 (cl (= (= (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))))) :rule all_simplify)
% 0.41/0.63  (step t268 (cl (= (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule refl)
% 0.41/0.63  (step t269 (cl (= (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule all_simplify)
% 0.41/0.63  (step t270 (cl (= (= (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) (= (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule cong :premises (t268 t269))
% 0.41/0.63  (step t271 (cl (= (= (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) true)) :rule all_simplify)
% 0.41/0.63  (step t272 (cl (= (= (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) true)) :rule trans :premises (t270 t271))
% 0.41/0.63  (step t273 (cl (= (= (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) true)) :rule trans :premises (t267 t272))
% 0.41/0.63  (step t274 (cl (= (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t266 t273))
% 0.41/0.63  (step t275 (cl (= (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))))) :rule cong :premises (t264 t274 t162 t3))
% 0.41/0.63  (step t276 (cl (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2))) :rule and_neg)
% 0.41/0.63  (step t277 (cl (=> (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t278)
% 0.41/0.63  (assume t278.a0 (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)))
% 0.41/0.63  (assume t278.a1 (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.63  (assume t278.a2 (= tptp.m1 tptp.m2))
% 0.41/0.63  (step t278.t1 (cl (=> (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t278.t2)
% 0.41/0.63  (assume t278.t2.a0 (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.63  (assume t278.t2.a1 (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)))
% 0.41/0.63  (assume t278.t2.a2 (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))
% 0.41/0.63  (step t278.t2.t1 (cl (= (= (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) false) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule equiv_simplify)
% 0.41/0.63  (step t278.t2.t2 (cl (not (= (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) false)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule equiv1 :premises (t278.t2.t1))
% 0.41/0.63  (step t278.t2.t3 (cl (= (tptp.singleton_set tptp.m2) (tptp.singleton_set tptp.m1))) :rule symm :premises (t278.t2.a2))
% 0.41/0.63  (step t278.t2.t4 (cl (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) :rule symm :premises (t278.t2.t3))
% 0.41/0.63  (step t278.t2.t5 (cl (= (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m1 tptp.r1))) :rule symm :premises (t278.t2.a1))
% 0.41/0.63  (step t278.t2.t6 (cl (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) :rule trans :premises (t278.t2.t4 t278.t2.t5))
% 0.41/0.63  (step t278.t2.t7 (cl (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule refl)
% 0.41/0.63  (step t278.t2.t8 (cl (= (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule cong :premises (t278.t2.t6 t278.t2.t7))
% 0.41/0.63  (step t278.t2.t9 (cl (= (= (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) false) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule equiv_simplify)
% 0.41/0.63  (step t278.t2.t10 (cl (= (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) false) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule equiv2 :premises (t278.t2.t9))
% 0.41/0.63  (step t278.t2.t11 (cl (not (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule not_not)
% 0.41/0.63  (step t278.t2.t12 (cl (= (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) false) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t278.t2.t10 t278.t2.t11))
% 0.41/0.63  (step t278.t2.t13 (cl (= (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) false)) :rule resolution :premises (t278.t2.t12 t278.t2.a0))
% 0.41/0.63  (step t278.t2.t14 (cl (= (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) false)) :rule trans :premises (t278.t2.t8 t278.t2.t13))
% 0.41/0.63  (step t278.t2.t15 (cl (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t278.t2.t2 t278.t2.t14))
% 0.41/0.63  (step t278.t2 (cl (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule subproof :discharge (t278.t2.a0 t278.t2.a1 t278.t2.a2))
% 0.41/0.63  (step t278.t3 (cl (not (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_pos)
% 0.41/0.63  (step t278.t4 (cl (not (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) :rule and_pos)
% 0.41/0.63  (step t278.t5 (cl (not (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) :rule and_pos)
% 0.41/0.63  (step t278.t6 (cl (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) (not (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) (not (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))))) :rule resolution :premises (t278.t2 t278.t3 t278.t4 t278.t5))
% 0.41/0.63  (step t278.t7 (cl (not (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) (not (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) (not (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule reordering :premises (t278.t6))
% 0.41/0.63  (step t278.t8 (cl (not (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t278.t7))
% 0.41/0.63  (step t278.t9 (cl (=> (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t278.t1 t278.t8))
% 0.41/0.63  (step t278.t10 (cl (=> (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg2)
% 0.41/0.63  (step t278.t11 (cl (=> (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t278.t9 t278.t10))
% 0.41/0.63  (step t278.t12 (cl (=> (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t278.t11))
% 0.41/0.63  (step t278.t13 (cl (not (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies :premises (t278.t12))
% 0.41/0.63  (step t278.t14 (cl (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) :rule and_neg)
% 0.41/0.63  (step t278.t15 (cl (=> (= tptp.m1 tptp.m2) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2)) :rule implies_neg1)
% 0.41/0.63  (anchor :step t278.t16)
% 0.41/0.63  (assume t278.t16.a0 (= tptp.m1 tptp.m2))
% 0.41/0.63  (step t278.t16.t1 (cl (= tptp.m2 tptp.m1)) :rule symm :premises (t278.t16.a0))
% 0.41/0.63  (step t278.t16.t2 (cl (= tptp.m1 tptp.m2)) :rule symm :premises (t278.t16.t1))
% 0.41/0.63  (step t278.t16.t3 (cl (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) :rule cong :premises (t278.t16.t2))
% 0.41/0.63  (step t278.t16 (cl (not (= tptp.m1 tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) :rule subproof :discharge (t278.t16.a0))
% 0.41/0.63  (step t278.t17 (cl (=> (= tptp.m1 tptp.m2) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) :rule resolution :premises (t278.t15 t278.t16))
% 0.41/0.63  (step t278.t18 (cl (=> (= tptp.m1 tptp.m2) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) :rule implies_neg2)
% 0.41/0.63  (step t278.t19 (cl (=> (= tptp.m1 tptp.m2) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) (=> (= tptp.m1 tptp.m2) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) :rule resolution :premises (t278.t17 t278.t18))
% 0.41/0.63  (step t278.t20 (cl (=> (= tptp.m1 tptp.m2) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) :rule contraction :premises (t278.t19))
% 0.41/0.63  (step t278.t21 (cl (not (= tptp.m1 tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) :rule implies :premises (t278.t20))
% 0.41/0.63  (step t278.t22 (cl (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2))) :rule resolution :premises (t278.t21 t278.a2))
% 0.41/0.63  (step t278.t23 (cl (and (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) :rule resolution :premises (t278.t14 t278.a1 t278.a0 t278.t22))
% 0.41/0.63  (step t278.t24 (cl (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t278.t13 t278.t23))
% 0.41/0.63  (step t278 (cl (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule subproof :discharge (t278.a0 t278.a1 t278.a2))
% 0.41/0.63  (step t279 (cl (not (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) :rule and_pos)
% 0.41/0.63  (step t280 (cl (not (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_pos)
% 0.41/0.63  (step t281 (cl (not (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2))) (= tptp.m1 tptp.m2)) :rule and_pos)
% 0.41/0.63  (step t282 (cl (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2))) (not (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2))) (not (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2)))) :rule resolution :premises (t278 t279 t280 t281))
% 0.41/0.63  (step t283 (cl (not (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2))) (not (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2))) (not (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule reordering :premises (t282))
% 0.41/0.63  (step t284 (cl (not (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t283))
% 0.41/0.63  (step t285 (cl (=> (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t277 t284))
% 0.41/0.63  (step t286 (cl (=> (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg2)
% 0.41/0.63  (step t287 (cl (=> (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t285 t286))
% 0.41/0.63  (step t288 (cl (=> (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t287))
% 0.41/0.63  (step t289 (cl (not (and (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) (= tptp.m1 tptp.m2))) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies :premises (t288))
% 0.41/0.63  (step t290 (cl (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t276 t289))
% 0.41/0.63  (step t291 (cl (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))))) :rule or_neg)
% 0.41/0.63  (step t292 (cl (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))))) :rule or_neg)
% 0.41/0.63  (step t293 (cl (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (not (= tptp.m1 tptp.m2)))) :rule or_neg)
% 0.41/0.63  (step t294 (cl (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule or_neg)
% 0.41/0.63  (step t295 (cl (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t290 t291 t292 t293 t294))
% 0.41/0.63  (step t296 (cl (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t295))
% 0.41/0.63  (step t297 (cl (or (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t263 t275 t296))
% 0.41/0.63  (step t298 (cl (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (= tptp.m1 tptp.m2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule or :premises (t297))
% 0.41/0.63  (step t299 (cl (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2))) (not (= tptp.m1 tptp.m2))) :rule reordering :premises (t298))
% 0.41/0.63  (step t300 (cl (not (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule or_pos)
% 0.41/0.63  (step t301 (cl (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule reordering :premises (t300))
% 0.41/0.63  (step t302 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule equiv_pos2)
% 0.41/0.63  (step t303 (cl (= (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))))) :rule refl)
% 0.41/0.63  (step t304 (cl (= (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule all_simplify)
% 0.41/0.63  (step t305 (cl (= (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule all_simplify)
% 0.41/0.63  (step t306 (cl (= (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule cong :premises (t303 t304 t305))
% 0.41/0.63  (step t307 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))))) :rule cong :premises (t192 t306))
% 0.41/0.63  (step t308 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t309)
% 0.41/0.63  (assume t309.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))))
% 0.41/0.63  (step t309.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule forall_inst :args ((:= X (tptp.unordered_pair tptp.m2 tptp.r2)) (:= Y (tptp.singleton_set tptp.m1)) (:= Z (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.63  (step t309.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule or :premises (t309.t1))
% 0.41/0.63  (step t309.t3 (cl (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t309.t2 t309.a0))
% 0.41/0.63  (step t309 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule subproof :discharge (t309.a0))
% 0.41/0.63  (step t310 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1)))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t308 t309))
% 0.41/0.63  (step t311 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule implies_neg2)
% 0.41/0.63  (step t312 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule resolution :premises (t310 t311))
% 0.41/0.63  (step t313 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.singleton_set tptp.m1)) (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule contraction :premises (t312))
% 0.41/0.63  (step t314 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t302 t307 t313))
% 0.41/0.63  (step t315 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies :premises (t314))
% 0.41/0.63  (step t316 (cl (or (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t315 a4))
% 0.41/0.63  (step t317 (cl (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule and_neg)
% 0.41/0.63  (step t318 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t319)
% 0.41/0.63  (assume t319.a0 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)))
% 0.41/0.63  (assume t319.a1 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.63  (assume t319.a2 (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.63  (assume t319.a3 (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.63  (step t319.t1 (cl (=> (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t319.t2)
% 0.41/0.63  (assume t319.t2.a0 (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.63  (assume t319.t2.a1 (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.63  (assume t319.t2.a2 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)))
% 0.41/0.63  (assume t319.t2.a3 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.63  (step t319.t2.t1 (cl (= (= (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) true) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule equiv_simplify)
% 0.41/0.63  (step t319.t2.t2 (cl (not (= (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) true)) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule equiv1 :premises (t319.t2.t1))
% 0.41/0.63  (step t319.t2.t3 (cl (= (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule refl)
% 0.41/0.63  (step t319.t2.t4 (cl (= (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)) (tptp.ordered_pair tptp.m1 tptp.r1))) :rule symm :premises (t319.t2.a3))
% 0.41/0.63  (step t319.t2.t5 (cl (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule symm :premises (t319.t2.t4))
% 0.41/0.63  (step t319.t2.t6 (cl (= (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)) (tptp.ordered_pair tptp.m1 tptp.r1))) :rule symm :premises (t319.t2.t5))
% 0.41/0.63  (step t319.t2.t7 (cl (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.ordered_pair tptp.m1 tptp.r1))) :rule symm :premises (t319.t2.a2))
% 0.41/0.63  (step t319.t2.t8 (cl (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) :rule symm :premises (t319.t2.t7))
% 0.41/0.63  (step t319.t2.t9 (cl (= (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.ordered_pair tptp.m2 tptp.r2))) :rule symm :premises (t319.t2.a1))
% 0.41/0.63  (step t319.t2.t10 (cl (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule symm :premises (t319.t2.t9))
% 0.41/0.63  (step t319.t2.t11 (cl (= (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule trans :premises (t319.t2.t6 t319.t2.t8 t319.t2.t10))
% 0.41/0.63  (step t319.t2.t12 (cl (= (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule cong :premises (t319.t2.t3 t319.t2.t11))
% 0.41/0.63  (step t319.t2.t13 (cl (= (= (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) true) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule equiv_simplify)
% 0.41/0.63  (step t319.t2.t14 (cl (= (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) true) (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule equiv2 :premises (t319.t2.t13))
% 0.41/0.63  (step t319.t2.t15 (cl (= (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) true)) :rule resolution :premises (t319.t2.t14 t319.t2.a0))
% 0.41/0.63  (step t319.t2.t16 (cl (= (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) true)) :rule trans :premises (t319.t2.t12 t319.t2.t15))
% 0.41/0.63  (step t319.t2.t17 (cl (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t319.t2.t2 t319.t2.t16))
% 0.41/0.63  (step t319.t2 (cl (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule subproof :discharge (t319.t2.a0 t319.t2.a1 t319.t2.a2 t319.t2.a3))
% 0.41/0.63  (step t319.t3 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_pos)
% 0.41/0.63  (step t319.t4 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_pos)
% 0.41/0.63  (step t319.t5 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.63  (step t319.t6 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule and_pos)
% 0.41/0.63  (step t319.t7 (cl (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))))) :rule resolution :premises (t319.t2 t319.t3 t319.t4 t319.t5 t319.t6))
% 0.41/0.63  (step t319.t8 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule reordering :premises (t319.t7))
% 0.41/0.63  (step t319.t9 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule contraction :premises (t319.t8))
% 0.41/0.63  (step t319.t10 (cl (=> (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t319.t1 t319.t9))
% 0.41/0.63  (step t319.t11 (cl (=> (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule implies_neg2)
% 0.41/0.63  (step t319.t12 (cl (=> (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (=> (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule resolution :premises (t319.t10 t319.t11))
% 0.41/0.63  (step t319.t13 (cl (=> (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule contraction :premises (t319.t12))
% 0.41/0.63  (step t319.t14 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule implies :premises (t319.t13))
% 0.41/0.63  (step t319.t15 (cl (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule and_neg)
% 0.41/0.63  (step t319.t16 (cl (and (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule resolution :premises (t319.t15 t319.a3 t319.a2 t319.a0 t319.a1))
% 0.41/0.63  (step t319.t17 (cl (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t319.t14 t319.t16))
% 0.41/0.63  (step t319 (cl (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule subproof :discharge (t319.a0 t319.a1 t319.a2 t319.a3))
% 0.41/0.63  (step t320 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.63  (step t321 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule and_pos)
% 0.41/0.63  (step t322 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_pos)
% 0.41/0.63  (step t323 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_pos)
% 0.41/0.63  (step t324 (cl (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))))) :rule resolution :premises (t319 t320 t321 t322 t323))
% 0.41/0.63  (step t325 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule reordering :premises (t324))
% 0.41/0.63  (step t326 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule contraction :premises (t325))
% 0.41/0.63  (step t327 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t318 t326))
% 0.41/0.63  (step t328 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule implies_neg2)
% 0.41/0.63  (step t329 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule resolution :premises (t327 t328))
% 0.41/0.63  (step t330 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule contraction :premises (t329))
% 0.41/0.63  (step t331 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule implies :premises (t330))
% 0.41/0.63  (step t332 (cl (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t317 t331))
% 0.41/0.63  (step t333 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t334)
% 0.41/0.63  (assume t334.a0 (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))))
% 0.41/0.63  (step t334.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule forall_inst :args ((:= Y (tptp.unordered_pair tptp.m2 tptp.r2)) (:= X (tptp.singleton_set tptp.m2))))
% 0.41/0.63  (step t334.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule or :premises (t334.t1))
% 0.41/0.63  (step t334.t3 (cl (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t334.t2 t334.a0))
% 0.41/0.63  (step t334 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule subproof :discharge (t334.a0))
% 0.41/0.63  (step t335 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t333 t334))
% 0.41/0.63  (step t336 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg2)
% 0.41/0.63  (step t337 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t335 t336))
% 0.41/0.63  (step t338 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t337))
% 0.41/0.63  (step t339 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies :premises (t338))
% 0.41/0.63  (step t340 (cl (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t339 a3))
% 0.41/0.63  (step t341 (cl (tptp.member (tptp.unordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t332 a6 t86 t94 t340))
% 0.41/0.63  (step t342 (cl (not (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule or_pos)
% 0.41/0.63  (step t343 (cl (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule reordering :premises (t342))
% 0.41/0.63  (step t344 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t345)
% 0.41/0.63  (assume t345.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))))
% 0.41/0.63  (step t345.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule forall_inst :args ((:= X (tptp.unordered_pair tptp.m1 tptp.r1)) (:= Y (tptp.singleton_set tptp.m2)) (:= Z (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.63  (step t345.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule or :premises (t345.t1))
% 0.41/0.63  (step t345.t3 (cl (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t345.t2 t345.a0))
% 0.41/0.63  (step t345 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule subproof :discharge (t345.a0))
% 0.41/0.63  (step t346 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t344 t345))
% 0.41/0.63  (step t347 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg2)
% 0.41/0.63  (step t348 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t346 t347))
% 0.41/0.63  (step t349 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t348))
% 0.41/0.63  (step t350 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies :premises (t349))
% 0.41/0.63  (step t351 (cl (or (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.singleton_set tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t350 a4))
% 0.41/0.63  (step t352 (cl (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule and_neg)
% 0.41/0.63  (step t353 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t354)
% 0.41/0.63  (assume t354.a0 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)))
% 0.41/0.63  (assume t354.a1 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.63  (assume t354.a2 (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.63  (assume t354.a3 (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.63  (step t354.t1 (cl (=> (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t354.t2)
% 0.41/0.63  (assume t354.t2.a0 (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.63  (assume t354.t2.a1 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))
% 0.41/0.63  (assume t354.t2.a2 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)))
% 0.41/0.63  (assume t354.t2.a3 (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.63  (step t354.t2.t1 (cl (= (= (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) true) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule equiv_simplify)
% 0.41/0.63  (step t354.t2.t2 (cl (not (= (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) true)) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule equiv1 :premises (t354.t2.t1))
% 0.41/0.63  (step t354.t2.t3 (cl (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m1 tptp.r1))) :rule refl)
% 0.41/0.63  (step t354.t2.t4 (cl (= (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.ordered_pair tptp.m2 tptp.r2))) :rule symm :premises (t354.t2.a3))
% 0.41/0.63  (step t354.t2.t5 (cl (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.ordered_pair tptp.m1 tptp.r1))) :rule symm :premises (t354.t2.a2))
% 0.41/0.63  (step t354.t2.t6 (cl (= (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)) (tptp.ordered_pair tptp.m1 tptp.r1))) :rule symm :premises (t354.t2.a1))
% 0.41/0.63  (step t354.t2.t7 (cl (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule symm :premises (t354.t2.t6))
% 0.41/0.63  (step t354.t2.t8 (cl (= (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule trans :premises (t354.t2.t4 t354.t2.t5 t354.t2.t7))
% 0.41/0.63  (step t354.t2.t9 (cl (= (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule cong :premises (t354.t2.t3 t354.t2.t8))
% 0.41/0.63  (step t354.t2.t10 (cl (= (= (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) true) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule equiv_simplify)
% 0.41/0.63  (step t354.t2.t11 (cl (= (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) true) (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule equiv2 :premises (t354.t2.t10))
% 0.41/0.63  (step t354.t2.t12 (cl (= (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) true)) :rule resolution :premises (t354.t2.t11 t354.t2.a0))
% 0.41/0.63  (step t354.t2.t13 (cl (= (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) true)) :rule trans :premises (t354.t2.t9 t354.t2.t12))
% 0.41/0.63  (step t354.t2.t14 (cl (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t354.t2.t2 t354.t2.t13))
% 0.41/0.63  (step t354.t2 (cl (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule subproof :discharge (t354.t2.a0 t354.t2.a1 t354.t2.a2 t354.t2.a3))
% 0.41/0.63  (step t354.t3 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule and_pos)
% 0.41/0.63  (step t354.t4 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule and_pos)
% 0.41/0.63  (step t354.t5 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.63  (step t354.t6 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_pos)
% 0.41/0.63  (step t354.t7 (cl (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))))) :rule resolution :premises (t354.t2 t354.t3 t354.t4 t354.t5 t354.t6))
% 0.41/0.63  (step t354.t8 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule reordering :premises (t354.t7))
% 0.41/0.63  (step t354.t9 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t354.t8))
% 0.41/0.63  (step t354.t10 (cl (=> (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t354.t1 t354.t9))
% 0.41/0.63  (step t354.t11 (cl (=> (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg2)
% 0.41/0.63  (step t354.t12 (cl (=> (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t354.t10 t354.t11))
% 0.41/0.63  (step t354.t13 (cl (=> (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t354.t12))
% 0.41/0.63  (step t354.t14 (cl (not (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies :premises (t354.t13))
% 0.41/0.63  (step t354.t15 (cl (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule and_neg)
% 0.41/0.63  (step t354.t16 (cl (and (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t354.t15 t354.a3 t354.a1 t354.a0 t354.a2))
% 0.41/0.63  (step t354.t17 (cl (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t354.t14 t354.t16))
% 0.41/0.63  (step t354 (cl (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule subproof :discharge (t354.a0 t354.a1 t354.a2 t354.a3))
% 0.41/0.63  (step t355 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) :rule and_pos)
% 0.41/0.63  (step t356 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule and_pos)
% 0.41/0.63  (step t357 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule and_pos)
% 0.41/0.63  (step t358 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule and_pos)
% 0.41/0.63  (step t359 (cl (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))))) :rule resolution :premises (t354 t355 t356 t357 t358))
% 0.41/0.63  (step t360 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule reordering :premises (t359))
% 0.41/0.63  (step t361 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t360))
% 0.41/0.63  (step t362 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t353 t361))
% 0.41/0.63  (step t363 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg2)
% 0.41/0.63  (step t364 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t362 t363))
% 0.41/0.63  (step t365 (cl (=> (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t364))
% 0.41/0.63  (step t366 (cl (not (and (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2)) (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))) (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies :premises (t365))
% 0.41/0.63  (step t367 (cl (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) (not (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (= (tptp.ordered_pair tptp.m2 tptp.r2) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t352 t366))
% 0.41/0.63  (step t368 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t369)
% 0.41/0.63  (assume t369.a0 (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))))
% 0.41/0.63  (step t369.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule forall_inst :args ((:= Y (tptp.unordered_pair tptp.m1 tptp.r1)) (:= X (tptp.singleton_set tptp.m1))))
% 0.41/0.63  (step t369.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule or :premises (t369.t1))
% 0.41/0.63  (step t369.t3 (cl (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t369.t2 t369.a0))
% 0.41/0.63  (step t369 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule subproof :discharge (t369.a0))
% 0.41/0.63  (step t370 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t368 t369))
% 0.41/0.63  (step t371 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (not (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule implies_neg2)
% 0.41/0.63  (step t372 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule resolution :premises (t370 t371))
% 0.41/0.63  (step t373 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1))))) :rule contraction :premises (t372))
% 0.41/0.63  (step t374 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y)))) (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule implies :premises (t373))
% 0.41/0.63  (step t375 (cl (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m1 tptp.r1)))) :rule resolution :premises (t374 a3))
% 0.41/0.63  (step t376 (cl (tptp.member (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t367 a6 t86 t94 t375))
% 0.41/0.63  (step t377 (cl (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (= tptp.m1 tptp.m2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t299 t301 t316 t341 t343 t351 t376))
% 0.41/0.63  (step t378 (cl (= (tptp.unordered_pair tptp.m1 tptp.r1) (tptp.unordered_pair tptp.m2 tptp.r2)) (not (= tptp.m1 tptp.m2))) :rule contraction :premises (t377))
% 0.41/0.63  (step t379 (cl (not (= tptp.m1 tptp.m2)) (not (= tptp.m1 tptp.m2))) :rule resolution :premises (t262 t378))
% 0.41/0.63  (step t380 (cl (not (= tptp.m1 tptp.m2))) :rule contraction :premises (t379))
% 0.41/0.63  (step t381 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t382)
% 0.41/0.63  (assume t382.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))))
% 0.41/0.63  (step t382.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y)))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2)))) :rule forall_inst :args ((:= X tptp.m1) (:= Y tptp.m2)))
% 0.41/0.63  (step t382.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y)))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2))) :rule or :premises (t382.t1))
% 0.41/0.63  (step t382.t3 (cl (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2))) :rule resolution :premises (t382.t2 t382.a0))
% 0.41/0.63  (step t382 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y)))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2))) :rule subproof :discharge (t382.a0))
% 0.41/0.63  (step t383 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2))) :rule resolution :premises (t381 t382))
% 0.41/0.63  (step t384 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2))) (not (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2)))) :rule implies_neg2)
% 0.41/0.63  (step t385 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2)))) :rule resolution :premises (t383 t384))
% 0.41/0.63  (step t386 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2)))) :rule contraction :premises (t385))
% 0.41/0.63  (step t387 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y)))) (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2))) :rule implies :premises (t386))
% 0.41/0.63  (step t388 (cl (or (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2))) (= tptp.m1 tptp.m2))) :rule resolution :premises (t387 a1))
% 0.41/0.63  (step t389 (cl (not (tptp.member tptp.m1 (tptp.singleton_set tptp.m2)))) :rule resolution :premises (t150 t380 t388))
% 0.41/0.63  (step t390 (cl (not (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)))) :rule resolution :premises (t140 t148 t389))
% 0.41/0.63  (step t391 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t392)
% 0.41/0.63  (assume t392.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))))
% 0.41/0.63  (step t392.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule forall_inst :args ((:= X (tptp.singleton_set tptp.m1)) (:= Y (tptp.singleton_set tptp.m2)) (:= Z (tptp.unordered_pair tptp.m2 tptp.r2))))
% 0.41/0.63  (step t392.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule or :premises (t392.t1))
% 0.41/0.63  (step t392.t3 (cl (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t392.t2 t392.a0))
% 0.41/0.63  (step t392 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule subproof :discharge (t392.a0))
% 0.41/0.63  (step t393 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t391 t392))
% 0.41/0.63  (step t394 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (not (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule implies_neg2)
% 0.41/0.63  (step t395 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule resolution :premises (t393 t394))
% 0.41/0.63  (step t396 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))) (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))))) :rule contraction :premises (t395))
% 0.41/0.63  (step t397 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z)))) (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies :premises (t396))
% 0.41/0.63  (step t398 (cl (or (not (tptp.member (tptp.singleton_set tptp.m1) (tptp.unordered_pair (tptp.singleton_set tptp.m2) (tptp.unordered_pair tptp.m2 tptp.r2)))) (= (tptp.singleton_set tptp.m1) (tptp.singleton_set tptp.m2)) (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t397 a4))
% 0.41/0.63  (step t399 (cl (= (tptp.singleton_set tptp.m1) (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t62 t103 t390 t398))
% 0.41/0.63  (step t400 (cl (not (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m1 tptp.m2))) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m1 tptp.m2)) :rule or_pos)
% 0.41/0.63  (step t401 (cl (= tptp.m1 tptp.m2) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (not (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m1 tptp.m2)))) :rule reordering :premises (t400))
% 0.41/0.63  (step t402 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m1 tptp.m2))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m1 tptp.m2)))) :rule equiv_pos2)
% 0.41/0.63  (step t403 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))))) :rule refl)
% 0.41/0.63  (step t404 (cl (= (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))))) :rule refl)
% 0.41/0.63  (step t405 (cl (= (= tptp.m2 tptp.m1) (= tptp.m1 tptp.m2))) :rule all_simplify)
% 0.41/0.63  (step t406 (cl (= (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1)) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m1 tptp.m2)))) :rule cong :premises (t404 t405))
% 0.41/0.63  (step t407 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m1 tptp.m2))))) :rule cong :premises (t403 t406))
% 0.41/0.63  (step t408 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t409)
% 0.41/0.63  (assume t409.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))))
% 0.41/0.63  (step t409.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y)))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1)))) :rule forall_inst :args ((:= X tptp.m2) (:= Y tptp.m1)))
% 0.41/0.63  (step t409.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y)))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1))) :rule or :premises (t409.t1))
% 0.41/0.63  (step t409.t3 (cl (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1))) :rule resolution :premises (t409.t2 t409.a0))
% 0.41/0.63  (step t409 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y)))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1))) :rule subproof :discharge (t409.a0))
% 0.41/0.63  (step t410 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1))) :rule resolution :premises (t408 t409))
% 0.41/0.63  (step t411 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1))) (not (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1)))) :rule implies_neg2)
% 0.41/0.63  (step t412 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1)))) :rule resolution :premises (t410 t411))
% 0.41/0.63  (step t413 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m2 tptp.m1)))) :rule contraction :premises (t412))
% 0.41/0.63  (step t414 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m1 tptp.m2)))) :rule resolution :premises (t402 t407 t413))
% 0.41/0.63  (step t415 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y)))) (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m1 tptp.m2))) :rule implies :premises (t414))
% 0.41/0.63  (step t416 (cl (or (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1))) (= tptp.m1 tptp.m2))) :rule resolution :premises (t415 a1))
% 0.41/0.63  (step t417 (cl (not (tptp.member tptp.m2 (tptp.singleton_set tptp.m1)))) :rule resolution :premises (t401 t380 t416))
% 0.41/0.63  (step t418 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y)))) :rule implies_neg1)
% 0.41/0.63  (anchor :step t419)
% 0.41/0.63  (assume t419.a0 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))))
% 0.41/0.63  (step t419.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y)))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule forall_inst :args ((:= X tptp.m2) (:= Y tptp.r2)))
% 0.41/0.63  (step t419.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y)))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule or :premises (t419.t1))
% 0.41/0.63  (step t419.t3 (cl (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t419.t2 t419.a0))
% 0.41/0.63  (step t419 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y)))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule subproof :discharge (t419.a0))
% 0.41/0.63  (step t420 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t418 t419))
% 0.41/0.63  (step t421 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (not (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule implies_neg2)
% 0.41/0.63  (step t422 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule resolution :premises (t420 t421))
% 0.41/0.63  (step t423 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2)))) :rule contraction :premises (t422))
% 0.41/0.63  (step t424 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y)))) (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule implies :premises (t423))
% 0.41/0.63  (step t425 (cl (tptp.member tptp.m2 (tptp.unordered_pair tptp.m2 tptp.r2))) :rule resolution :premises (t424 a2))
% 0.41/0.63  (step t426 (cl) :rule resolution :premises (t60 t399 t417 t425))
% 0.41/0.63  
% 0.41/0.63  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.Fz825FybRg/cvc5---1.0.5_4233.smt2
% 0.41/0.63  % cvc5---1.0.5 exiting
% 0.41/0.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------