%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ027-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n007.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 17:39:08 EDT 2024

% Result   : Unsatisfiable 0.38s 0.59s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.16  % Problem    : PUZ027-1 : TPTP v8.2.0. Released v1.0.0.
% 0.13/0.18  % Command    : do_cvc5 %s %d
% 0.17/0.40  % Computer : n007.cluster.edu
% 0.17/0.40  % Model    : x86_64 x86_64
% 0.17/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.40  % Memory   : 8042.1875MB
% 0.17/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.40  % CPULimit   : 300
% 0.17/0.40  % WCLimit    : 300
% 0.17/0.40  % DateTime   : Sat May 25 19:46:39 EDT 2024
% 0.17/0.40  % CPUTime    : 
% 0.25/0.55  %----Proving TF0_NAR, FOF, or CNF
% 0.25/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.38/0.59  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.kCo6clBNdC/cvc5---1.0.5_13752.smt2
% 0.38/0.59  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.kCo6clBNdC/cvc5---1.0.5_13752.smt2
% 0.38/0.60  (assume a0 (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X)))))
% 0.38/0.60  (assume a1 (forall ((X $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.normal X))))))
% 0.38/0.60  (assume a2 (forall ((X $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.liar X))))))
% 0.38/0.60  (assume a3 (forall ((X $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.normal X))))))
% 0.38/0.60  (assume a4 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y))))
% 0.38/0.60  (assume a5 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y)))))
% 0.38/0.60  (assume a6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y)))))
% 0.38/0.60  (assume a7 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y)))))
% 0.38/0.60  (assume a8 (forall ((X $$unsorted)) (tptp.a_truth (tptp.not_lower X X))))
% 0.38/0.60  (assume a9 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y))))))
% 0.38/0.60  (assume a10 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))))
% 0.38/0.60  (assume a11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.truthteller Y)))))
% 0.38/0.60  (assume a12 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.truthteller Y)))))
% 0.38/0.60  (assume a13 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))))
% 0.38/0.60  (assume a14 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller Y))) (tptp.a_truth (tptp.normal X)) (tptp.a_truth (tptp.liar X)))))
% 0.38/0.60  (assume a15 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.normal Y))) (tptp.a_truth (tptp.liar X)))))
% 0.38/0.60  (assume a16 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))))
% 0.38/0.60  (assume a17 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X)))))
% 0.38/0.60  (assume a18 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.liar X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.lower Y X)))))
% 0.38/0.60  (assume a19 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X)))))
% 0.38/0.60  (assume a20 (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b))))
% 0.38/0.60  (assume a21 (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b))))
% 0.38/0.60  (assume a22 (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.answer tptp.a_and_b_truthteller)))
% 0.38/0.60  (assume a23 (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.answer tptp.a_truthteller_b_normal)))
% 0.38/0.60  (assume a24 (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.liar tptp.b))) (tptp.answer tptp.a_truthteller_b_liar)))
% 0.38/0.60  (assume a25 (or (not (tptp.a_truth (tptp.normal tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.answer tptp.a_normal_b_truthteller)))
% 0.38/0.60  (assume a26 (or (not (tptp.a_truth (tptp.normal tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.answer tptp.a_and_b_normal)))
% 0.38/0.60  (assume a27 (or (not (tptp.a_truth (tptp.normal tptp.a))) (not (tptp.a_truth (tptp.liar tptp.b))) (tptp.answer tptp.a_normal_b_liar)))
% 0.38/0.60  (assume a28 (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.answer tptp.a_liar_b_truthteller)))
% 0.38/0.60  (assume a29 (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.answer tptp.a_liar_b_normal)))
% 0.38/0.60  (assume a30 (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.liar tptp.b))) (tptp.answer tptp.a_and_b_liar)))
% 0.38/0.60  (assume a31 (forall ((Answer $$unsorted)) (not (tptp.answer Answer))))
% 0.38/0.60  (step t1 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X)))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t2)
% 0.38/0.60  (assume t2.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))))
% 0.38/0.60  (step t2.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X)))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a)))))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.b)))
% 0.38/0.60  (step t2.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X)))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a))))) :rule or :premises (t2.t1))
% 0.38/0.60  (step t2.t3 (cl (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a))))) :rule resolution :premises (t2.t2 t2.a0))
% 0.38/0.60  (step t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X)))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a))))) :rule subproof :discharge (t2.a0))
% 0.38/0.60  (step t3 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a))))) :rule resolution :premises (t1 t2))
% 0.38/0.60  (step t4 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a))))) (not (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a)))))) :rule implies_neg2)
% 0.38/0.60  (step t5 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a)))))) :rule resolution :premises (t3 t4))
% 0.38/0.60  (step t6 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a)))))) :rule contraction :premises (t5))
% 0.38/0.60  (step t7 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X)))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a))))) :rule implies :premises (t6))
% 0.38/0.60  (step t8 (cl (not (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a))))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a)))) :rule or_pos)
% 0.38/0.60  (step t9 (cl (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a)))))) :rule reordering :premises (t8))
% 0.38/0.60  (step t10 (cl (not (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a)))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a))) :rule or_pos)
% 0.38/0.60  (step t11 (cl (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (not (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a))))) :rule reordering :premises (t10))
% 0.38/0.60  (step t12 (cl (not (tptp.a_truth (tptp.normal tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.answer tptp.a_and_b_normal)) :rule or :premises (a26))
% 0.38/0.60  (step t13 (cl (not (tptp.a_truth (tptp.normal tptp.b))) (not (tptp.a_truth (tptp.normal tptp.a))) (tptp.answer tptp.a_and_b_normal)) :rule reordering :premises (t12))
% 0.38/0.60  (step t14 (cl (not (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b))) :rule or_pos)
% 0.38/0.60  (step t15 (cl (tptp.a_truth (tptp.normal tptp.b)) (tptp.a_truth (tptp.liar tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b))))) :rule reordering :premises (t14))
% 0.38/0.60  (step t16 (cl (not (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b))))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b)))) :rule or_pos)
% 0.38/0.60  (step t17 (cl (not (tptp.a_truth (tptp.liar tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b)))))) :rule reordering :premises (t16))
% 0.38/0.60  (step t18 (cl (not (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b))) :rule or_pos)
% 0.38/0.60  (step t19 (cl (tptp.a_truth (tptp.lower tptp.a tptp.b)) (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule reordering :premises (t18))
% 0.38/0.60  (step t20 (cl (=> (forall ((Answer $$unsorted)) (not (tptp.answer Answer))) (not (tptp.answer tptp.a_and_b_normal))) (forall ((Answer $$unsorted)) (not (tptp.answer Answer)))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t21)
% 0.38/0.60  (assume t21.a0 (forall ((Answer $$unsorted)) (not (tptp.answer Answer))))
% 0.38/0.60  (step t21.t1 (cl (or (not (forall ((Answer $$unsorted)) (not (tptp.answer Answer)))) (not (tptp.answer tptp.a_and_b_normal)))) :rule forall_inst :args ((:= Answer tptp.a_and_b_normal)))
% 0.38/0.60  (step t21.t2 (cl (not (forall ((Answer $$unsorted)) (not (tptp.answer Answer)))) (not (tptp.answer tptp.a_and_b_normal))) :rule or :premises (t21.t1))
% 0.38/0.60  (step t21.t3 (cl (not (tptp.answer tptp.a_and_b_normal))) :rule resolution :premises (t21.t2 t21.a0))
% 0.38/0.60  (step t21 (cl (not (forall ((Answer $$unsorted)) (not (tptp.answer Answer)))) (not (tptp.answer tptp.a_and_b_normal))) :rule subproof :discharge (t21.a0))
% 0.38/0.60  (step t22 (cl (=> (forall ((Answer $$unsorted)) (not (tptp.answer Answer))) (not (tptp.answer tptp.a_and_b_normal))) (not (tptp.answer tptp.a_and_b_normal))) :rule resolution :premises (t20 t21))
% 0.38/0.60  (step t23 (cl (=> (forall ((Answer $$unsorted)) (not (tptp.answer Answer))) (not (tptp.answer tptp.a_and_b_normal))) (not (not (tptp.answer tptp.a_and_b_normal)))) :rule implies_neg2)
% 0.38/0.60  (step t24 (cl (=> (forall ((Answer $$unsorted)) (not (tptp.answer Answer))) (not (tptp.answer tptp.a_and_b_normal))) (=> (forall ((Answer $$unsorted)) (not (tptp.answer Answer))) (not (tptp.answer tptp.a_and_b_normal)))) :rule resolution :premises (t22 t23))
% 0.38/0.60  (step t25 (cl (=> (forall ((Answer $$unsorted)) (not (tptp.answer Answer))) (not (tptp.answer tptp.a_and_b_normal)))) :rule contraction :premises (t24))
% 0.38/0.60  (step t26 (cl (not (forall ((Answer $$unsorted)) (not (tptp.answer Answer)))) (not (tptp.answer tptp.a_and_b_normal))) :rule implies :premises (t25))
% 0.38/0.60  (step t27 (cl (not (tptp.answer tptp.a_and_b_normal)) (not (forall ((Answer $$unsorted)) (not (tptp.answer Answer))))) :rule reordering :premises (t26))
% 0.38/0.60  (step t28 (cl (not (tptp.answer tptp.a_and_b_normal))) :rule resolution :premises (t27 a31))
% 0.38/0.60  (step t29 (cl (=> (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X)))) (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a)))) (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t30)
% 0.38/0.60  (assume t30.a0 (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X)))))
% 0.38/0.60  (step t30.t1 (cl (or (not (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X))))) (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a))))) :rule forall_inst :args ((:= X tptp.a)))
% 0.38/0.60  (step t30.t2 (cl (not (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X))))) (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a)))) :rule or :premises (t30.t1))
% 0.38/0.60  (step t30.t3 (cl (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a)))) :rule resolution :premises (t30.t2 t30.a0))
% 0.38/0.60  (step t30 (cl (not (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X))))) (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a)))) :rule subproof :discharge (t30.a0))
% 0.38/0.60  (step t31 (cl (=> (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X)))) (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a)))) (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a)))) :rule resolution :premises (t29 t30))
% 0.38/0.60  (step t32 (cl (=> (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X)))) (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a)))) (not (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a))))) :rule implies_neg2)
% 0.38/0.60  (step t33 (cl (=> (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X)))) (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a)))) (=> (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X)))) (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a))))) :rule resolution :premises (t31 t32))
% 0.38/0.60  (step t34 (cl (=> (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X)))) (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a))))) :rule contraction :premises (t33))
% 0.38/0.60  (step t35 (cl (not (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.truthteller X)) (tptp.a_truth (tptp.liar X)) (tptp.a_truth (tptp.normal X))))) (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a)))) :rule implies :premises (t34))
% 0.38/0.60  (step t36 (cl (or (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.liar tptp.a)) (tptp.a_truth (tptp.normal tptp.a)))) :rule resolution :premises (t35 a0))
% 0.38/0.60  (step t37 (cl (not (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b))) :rule or_pos)
% 0.38/0.60  (step t38 (cl (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b))))) :rule reordering :premises (t37))
% 0.38/0.60  (step t39 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y)))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t40)
% 0.38/0.60  (assume t40.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y)))))
% 0.38/0.60  (step t40.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b))))) :rule forall_inst :args ((:= X (tptp.not_lower tptp.a tptp.b)) (:= Y tptp.b)))
% 0.38/0.60  (step t40.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule or :premises (t40.t1))
% 0.38/0.60  (step t40.t3 (cl (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule resolution :premises (t40.t2 t40.a0))
% 0.38/0.60  (step t40 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule subproof :discharge (t40.a0))
% 0.38/0.60  (step t41 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y)))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule resolution :premises (t39 t40))
% 0.38/0.60  (step t42 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y)))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) (not (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b))))) :rule implies_neg2)
% 0.38/0.60  (step t43 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y)))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y)))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b))))) :rule resolution :premises (t41 t42))
% 0.38/0.60  (step t44 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y)))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b))))) :rule contraction :premises (t43))
% 0.38/0.60  (step t45 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth X)) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.normal Y))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule implies :premises (t44))
% 0.38/0.60  (step t46 (cl (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.truthteller tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule resolution :premises (t45 a6))
% 0.38/0.60  (step t47 (cl (not (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a))))) (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a)))) :rule or_pos)
% 0.38/0.60  (step t48 (cl (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a)))))) :rule reordering :premises (t47))
% 0.38/0.60  (step t49 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y)))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t50)
% 0.38/0.60  (assume t50.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))))
% 0.38/0.60  (step t50.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y)))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a)))))) :rule forall_inst :args ((:= X tptp.b) (:= Y tptp.a)))
% 0.38/0.60  (step t50.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y)))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a))))) :rule or :premises (t50.t1))
% 0.38/0.60  (step t50.t3 (cl (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a))))) :rule resolution :premises (t50.t2 t50.a0))
% 0.38/0.60  (step t50 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y)))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a))))) :rule subproof :discharge (t50.a0))
% 0.38/0.60  (step t51 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a))))) :rule resolution :premises (t49 t50))
% 0.38/0.60  (step t52 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a))))) (not (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a)))))) :rule implies_neg2)
% 0.38/0.60  (step t53 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a)))))) :rule resolution :premises (t51 t52))
% 0.38/0.60  (step t54 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a)))))) :rule contraction :premises (t53))
% 0.38/0.60  (step t55 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y)))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a))))) :rule implies :premises (t54))
% 0.38/0.60  (step t56 (cl (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.liar tptp.a))))) :rule resolution :premises (t55 a16))
% 0.38/0.60  (step t57 (cl (not (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))))) (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b)))) :rule or_pos)
% 0.38/0.60  (step t58 (cl (not (tptp.a_truth (tptp.truthteller tptp.b))) (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b)))))) :rule reordering :premises (t57))
% 0.38/0.60  (step t59 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X)))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t60)
% 0.38/0.60  (assume t60.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))))
% 0.38/0.60  (step t60.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X)))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b)))))) :rule forall_inst :args ((:= X tptp.b) (:= Y tptp.a)))
% 0.38/0.60  (step t60.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X)))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))))) :rule or :premises (t60.t1))
% 0.38/0.60  (step t60.t3 (cl (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))))) :rule resolution :premises (t60.t2 t60.a0))
% 0.38/0.60  (step t60 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X)))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))))) :rule subproof :discharge (t60.a0))
% 0.38/0.60  (step t61 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))))) :rule resolution :premises (t59 t60))
% 0.38/0.60  (step t62 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))))) (not (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b)))))) :rule implies_neg2)
% 0.38/0.60  (step t63 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b)))))) :rule resolution :premises (t61 t62))
% 0.38/0.60  (step t64 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b)))))) :rule contraction :premises (t63))
% 0.38/0.60  (step t65 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.truthteller X)))))) (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))))) :rule implies :premises (t64))
% 0.38/0.60  (step t66 (cl (or (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))))) :rule resolution :premises (t65 a13))
% 0.38/0.60  (step t67 (cl (tptp.a_truth (tptp.truthteller tptp.a)) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.lower tptp.b tptp.a)))) :rule resolution :premises (t13 t28 t11 t36 t38 t46 a21 t48 t56 t58 t66))
% 0.38/0.60  (step t68 (cl (tptp.a_truth (tptp.truthteller tptp.a)) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.b tptp.a)))) :rule contraction :premises (t67))
% 0.38/0.60  (step t69 (cl (not (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)))) (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a))) :rule or_pos)
% 0.38/0.60  (step t70 (cl (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)) (not (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a))))) :rule reordering :premises (t69))
% 0.38/0.60  (step t71 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t72)
% 0.38/0.60  (assume t72.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))))
% 0.38/0.60  (step t72.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y))))) (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a))))) :rule forall_inst :args ((:= X tptp.b) (:= Y tptp.a)))
% 0.38/0.60  (step t72.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y))))) (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)))) :rule or :premises (t72.t1))
% 0.38/0.60  (step t72.t3 (cl (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)))) :rule resolution :premises (t72.t2 t72.a0))
% 0.38/0.60  (step t72 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y))))) (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)))) :rule subproof :discharge (t72.a0))
% 0.38/0.60  (step t73 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)))) (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)))) :rule resolution :premises (t71 t72))
% 0.38/0.60  (step t74 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)))) (not (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a))))) :rule implies_neg2)
% 0.38/0.60  (step t75 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a))))) :rule resolution :premises (t73 t74))
% 0.38/0.60  (step t76 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a))))) :rule contraction :premises (t75))
% 0.38/0.60  (step t77 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y))))) (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)))) :rule implies :premises (t76))
% 0.38/0.60  (step t78 (cl (or (tptp.a_truth (tptp.not_lower tptp.b tptp.a)) (tptp.a_truth (tptp.lower tptp.b tptp.a)))) :rule resolution :premises (t77 a10))
% 0.38/0.60  (step t79 (cl (not (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))) :rule or_pos)
% 0.38/0.60  (step t80 (cl (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule reordering :premises (t79))
% 0.38/0.60  (step t81 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t82)
% 0.38/0.60  (assume t82.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X)))))
% 0.38/0.60  (step t82.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X))))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule forall_inst :args ((:= X tptp.b) (:= Y tptp.a)))
% 0.38/0.60  (step t82.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X))))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule or :premises (t82.t1))
% 0.38/0.60  (step t82.t3 (cl (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t82.t2 t82.a0))
% 0.38/0.60  (step t82 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X))))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule subproof :discharge (t82.a0))
% 0.38/0.60  (step t83 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t81 t82))
% 0.38/0.60  (step t84 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (not (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule implies_neg2)
% 0.38/0.60  (step t85 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule resolution :premises (t83 t84))
% 0.38/0.60  (step t86 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule contraction :premises (t85))
% 0.38/0.60  (step t87 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.normal X))) (tptp.a_truth (tptp.normal Y)) (tptp.a_truth (tptp.lower Y X))))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule implies :premises (t86))
% 0.38/0.60  (step t88 (cl (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.normal tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t87 a19))
% 0.38/0.60  (step t89 (cl (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.normal tptp.b)))) :rule resolution :premises (t80 t88 t13 t28))
% 0.38/0.60  (step t90 (cl (not (tptp.a_truth (tptp.normal tptp.b))) (tptp.a_truth (tptp.lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a)))) :rule contraction :premises (t89))
% 0.38/0.60  (step t91 (cl (not (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))) :rule or_pos)
% 0.38/0.60  (step t92 (cl (tptp.a_truth (tptp.truthteller tptp.a)) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule reordering :premises (t91))
% 0.38/0.60  (step t93 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t94)
% 0.38/0.60  (assume t94.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X)))))
% 0.38/0.60  (step t94.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X))))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule forall_inst :args ((:= X tptp.b) (:= Y tptp.a)))
% 0.38/0.60  (step t94.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X))))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule or :premises (t94.t1))
% 0.38/0.60  (step t94.t3 (cl (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t94.t2 t94.a0))
% 0.38/0.60  (step t94 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X))))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule subproof :discharge (t94.a0))
% 0.38/0.60  (step t95 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t93 t94))
% 0.38/0.60  (step t96 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (not (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule implies_neg2)
% 0.38/0.60  (step t97 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule resolution :premises (t95 t96))
% 0.38/0.60  (step t98 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X)))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule contraction :premises (t97))
% 0.38/0.60  (step t99 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.truthteller X))) (tptp.a_truth (tptp.truthteller Y)) (tptp.a_truth (tptp.lower Y X))))) (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule implies :premises (t98))
% 0.38/0.60  (step t100 (cl (or (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.truthteller tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t99 a17))
% 0.38/0.60  (step t101 (cl (tptp.a_truth (tptp.lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (tptp.a_truth (tptp.lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a)))) :rule resolution :premises (t90 t38 t46 a21 t92 t100))
% 0.38/0.60  (step t102 (cl (tptp.a_truth (tptp.lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a))) :rule contraction :premises (t101))
% 0.38/0.60  (step t103 (cl (not (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule or_pos)
% 0.38/0.60  (step t104 (cl (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))))) :rule reordering :premises (t103))
% 0.38/0.60  (step t105 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y)))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t106)
% 0.38/0.60  (assume t106.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y))))))
% 0.38/0.60  (step t106.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y)))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.b)))
% 0.38/0.60  (step t106.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y)))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule or :premises (t106.t1))
% 0.38/0.60  (step t106.t3 (cl (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule resolution :premises (t106.t2 t106.a0))
% 0.38/0.60  (step t106 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y)))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule subproof :discharge (t106.a0))
% 0.38/0.60  (step t107 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule resolution :premises (t105 t106))
% 0.38/0.60  (step t108 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) (not (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))))) :rule implies_neg2)
% 0.38/0.60  (step t109 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))))) :rule resolution :premises (t107 t108))
% 0.38/0.60  (step t110 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))))) :rule contraction :premises (t109))
% 0.38/0.60  (step t111 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.not_lower X Y))) (not (tptp.a_truth (tptp.lower X Y)))))) (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule implies :premises (t110))
% 0.38/0.60  (step t112 (cl (or (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule resolution :premises (t111 a9))
% 0.38/0.60  (step t113 (cl (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b)))) :rule resolution :premises (t102 t104 t112))
% 0.38/0.60  (step t114 (cl (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a))) :rule contraction :premises (t113))
% 0.38/0.60  (step t115 (cl (tptp.a_truth (tptp.truthteller tptp.a)) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.not_lower tptp.b tptp.a)))) :rule reordering :premises (t114))
% 0.38/0.60  (step t116 (cl (tptp.a_truth (tptp.truthteller tptp.a)) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (tptp.a_truth (tptp.truthteller tptp.a)) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b)))) :rule resolution :premises (t68 t70 t78 t115))
% 0.38/0.60  (step t117 (cl (tptp.a_truth (tptp.truthteller tptp.a)) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b)))) :rule contraction :premises (t116))
% 0.38/0.60  (step t118 (cl (not (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b))) :rule or_pos)
% 0.38/0.60  (step t119 (cl (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)) (not (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule reordering :premises (t118))
% 0.38/0.60  (step t120 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y))) (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y)))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t121)
% 0.38/0.60  (assume t121.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y))))
% 0.38/0.60  (step t121.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y)))) (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.lower tptp.a tptp.b))))
% 0.38/0.60  (step t121.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y)))) (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule or :premises (t121.t1))
% 0.38/0.60  (step t121.t3 (cl (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t121.t2 t121.a0))
% 0.38/0.60  (step t121 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y)))) (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule subproof :discharge (t121.a0))
% 0.38/0.60  (step t122 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y))) (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t120 t121))
% 0.38/0.60  (step t123 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y))) (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (not (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule implies_neg2)
% 0.38/0.60  (step t124 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y))) (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y))) (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule resolution :premises (t122 t123))
% 0.38/0.60  (step t125 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y))) (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule contraction :premises (t124))
% 0.38/0.60  (step t126 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.truthteller X))) (not (tptp.a_truth (tptp.says X Y))) (tptp.a_truth Y)))) (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule implies :premises (t125))
% 0.38/0.60  (step t127 (cl (or (not (tptp.a_truth (tptp.truthteller tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t126 a4))
% 0.38/0.60  (step t128 (cl (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b)))) :rule resolution :premises (t117 t119 t127 a20 t104 t112))
% 0.38/0.60  (step t129 (cl (not (tptp.a_truth (tptp.not_lower tptp.a tptp.b)))) :rule contraction :premises (t128))
% 0.38/0.60  (step t130 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t131)
% 0.38/0.60  (assume t131.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))))
% 0.38/0.60  (step t131.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y))))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.b)))
% 0.38/0.60  (step t131.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y))))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule or :premises (t131.t1))
% 0.38/0.60  (step t131.t3 (cl (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t131.t2 t131.a0))
% 0.38/0.60  (step t131 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y))))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule subproof :discharge (t131.a0))
% 0.38/0.60  (step t132 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t130 t131))
% 0.38/0.60  (step t133 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (not (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule implies_neg2)
% 0.38/0.60  (step t134 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule resolution :premises (t132 t133))
% 0.38/0.60  (step t135 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule contraction :premises (t134))
% 0.38/0.60  (step t136 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth (tptp.not_lower X Y)) (tptp.a_truth (tptp.lower X Y))))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule implies :premises (t135))
% 0.38/0.60  (step t137 (cl (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule resolution :premises (t136 a10))
% 0.38/0.60  (step t138 (cl (tptp.a_truth (tptp.lower tptp.a tptp.b))) :rule resolution :premises (t19 t129 t137))
% 0.38/0.60  (step t139 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y)))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t140)
% 0.38/0.60  (assume t140.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))))
% 0.38/0.60  (step t140.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y)))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b)))))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.b)))
% 0.38/0.60  (step t140.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y)))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b))))) :rule or :premises (t140.t1))
% 0.38/0.60  (step t140.t3 (cl (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b))))) :rule resolution :premises (t140.t2 t140.a0))
% 0.38/0.60  (step t140 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y)))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b))))) :rule subproof :discharge (t140.a0))
% 0.38/0.60  (step t141 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b))))) :rule resolution :premises (t139 t140))
% 0.38/0.60  (step t142 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b))))) (not (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b)))))) :rule implies_neg2)
% 0.38/0.60  (step t143 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b)))))) :rule resolution :premises (t141 t142))
% 0.38/0.60  (step t144 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b)))))) :rule contraction :premises (t143))
% 0.38/0.60  (step t145 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.lower X Y))) (not (tptp.a_truth (tptp.liar Y)))))) (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b))))) :rule implies :premises (t144))
% 0.38/0.60  (step t146 (cl (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.liar tptp.b))))) :rule resolution :premises (t145 a16))
% 0.38/0.60  (step t147 (cl (not (tptp.a_truth (tptp.liar tptp.b)))) :rule resolution :premises (t17 t138 t146))
% 0.38/0.60  (step t148 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t149)
% 0.38/0.60  (assume t149.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y)))))
% 0.38/0.60  (step t149.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y))))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b))))) :rule forall_inst :args ((:= X (tptp.not_lower tptp.a tptp.b)) (:= Y tptp.b)))
% 0.38/0.60  (step t149.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y))))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule or :premises (t149.t1))
% 0.38/0.60  (step t149.t3 (cl (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule resolution :premises (t149.t2 t149.a0))
% 0.38/0.60  (step t149 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y))))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule subproof :discharge (t149.a0))
% 0.38/0.60  (step t150 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule resolution :premises (t148 t149))
% 0.38/0.60  (step t151 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) (not (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b))))) :rule implies_neg2)
% 0.38/0.60  (step t152 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b))))) :rule resolution :premises (t150 t151))
% 0.38/0.60  (step t153 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y)))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b))))) :rule contraction :premises (t152))
% 0.38/0.60  (step t154 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.a_truth X) (not (tptp.a_truth (tptp.says Y X))) (tptp.a_truth (tptp.liar Y)) (tptp.a_truth (tptp.normal Y))))) (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule implies :premises (t153))
% 0.38/0.60  (step t155 (cl (or (tptp.a_truth (tptp.not_lower tptp.a tptp.b)) (not (tptp.a_truth (tptp.says tptp.b (tptp.not_lower tptp.a tptp.b)))) (tptp.a_truth (tptp.liar tptp.b)) (tptp.a_truth (tptp.normal tptp.b)))) :rule resolution :premises (t154 a7))
% 0.38/0.60  (step t156 (cl (tptp.a_truth (tptp.normal tptp.b))) :rule resolution :premises (t15 t147 a21 t129 t155))
% 0.38/0.60  (step t157 (cl (not (tptp.a_truth (tptp.normal tptp.a)))) :rule resolution :premises (t13 t156 t28))
% 0.38/0.60  (step t158 (cl (not (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))) :rule or_pos)
% 0.38/0.60  (step t159 (cl (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))))) :rule reordering :premises (t158))
% 0.38/0.60  (step t160 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y)))) (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y))))) :rule implies_neg1)
% 0.38/0.60  (anchor :step t161)
% 0.38/0.60  (assume t161.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y)))))
% 0.38/0.60  (step t161.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y))))) (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.lower tptp.a tptp.b))))
% 0.38/0.60  (step t161.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y))))) (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule or :premises (t161.t1))
% 0.38/0.60  (step t161.t3 (cl (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule resolution :premises (t161.t2 t161.a0))
% 0.38/0.60  (step t161 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y))))) (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule subproof :discharge (t161.a0))
% 0.38/0.60  (step t162 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y)))) (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule resolution :premises (t160 t161))
% 0.38/0.60  (step t163 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y)))) (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) (not (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))))) :rule implies_neg2)
% 0.38/0.60  (step t164 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y)))) (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y)))) (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))))) :rule resolution :premises (t162 t163))
% 0.38/0.60  (step t165 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y)))) (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b)))))) :rule contraction :premises (t164))
% 0.38/0.60  (step t166 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.a_truth (tptp.liar X))) (not (tptp.a_truth (tptp.says X Y))) (not (tptp.a_truth Y))))) (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule implies :premises (t165))
% 0.38/0.60  (step t167 (cl (or (not (tptp.a_truth (tptp.liar tptp.a))) (not (tptp.a_truth (tptp.says tptp.a (tptp.lower tptp.a tptp.b)))) (not (tptp.a_truth (tptp.lower tptp.a tptp.b))))) :rule resolution :premises (t166 a5))
% 0.38/0.60  (step t168 (cl (not (tptp.a_truth (tptp.liar tptp.a)))) :rule resolution :premises (t159 a20 t138 t167))
% 0.38/0.60  (step t169 (cl (tptp.a_truth (tptp.truthteller tptp.a))) :rule resolution :premises (t11 t157 t168 t36))
% 0.38/0.60  (step t170 (cl (not (or (not (tptp.a_truth (tptp.lower tptp.a tptp.b))) (not (tptp.a_truth (tptp.truthteller tptp.a)))))) :rule resolution :premises (t9 t169 t138))
% 0.38/0.60  (step t171 (cl) :rule resolution :premises (t7 t170 a13))
% 0.38/0.60  
% 0.38/0.60  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.kCo6clBNdC/cvc5---1.0.5_13752.smt2
% 0.38/0.61  % cvc5---1.0.5 exiting
% 0.38/0.61  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------