%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT044-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n015.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 17:29:29 EDT 2024

% Result   : Unsatisfiable 0.40s 0.59s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15  % Problem    : MGT044-1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.38  % Computer : n015.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Sun May 26 10:29:39 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.23/0.55  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.40/0.59  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.s6Qe3w3vfk/cvc5---1.0.5_21632.smt2
% 0.40/0.59  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.s6Qe3w3vfk/cvc5---1.0.5_21632.smt2
% 0.40/0.60  (assume a0 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.smaller_or_equal A B)) (tptp.smaller A B) (= A B))))
% 0.40/0.60  (assume a1 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.smaller A B)) (tptp.smaller_or_equal A B))))
% 0.40/0.60  (assume a2 (forall ((A $$unsorted) (B $$unsorted)) (or (not (= A B)) (tptp.smaller_or_equal A B))))
% 0.40/0.60  (assume a3 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.greater_or_equal A B)) (tptp.greater A B) (= A B))))
% 0.40/0.60  (assume a4 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.greater A B)) (tptp.greater_or_equal A B))))
% 0.40/0.60  (assume a5 (forall ((A $$unsorted) (B $$unsorted)) (or (not (= A B)) (tptp.greater_or_equal A B))))
% 0.40/0.60  (assume a6 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.smaller A B)) (tptp.greater B A))))
% 0.40/0.60  (assume a7 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.greater A B)) (tptp.smaller B A))))
% 0.40/0.60  (assume a8 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.greater A B)) (not (tptp.greater B A)))))
% 0.40/0.60  (assume a9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.greater A B)) (not (tptp.greater B C)) (tptp.greater A C))))
% 0.40/0.60  (assume a10 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.smaller A B) (= A B) (tptp.greater A B))))
% 0.40/0.60  (assume a11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C)))))
% 0.40/0.60  (assume a12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.smaller_or_equal (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.greater (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.smaller (tptp.capability A B) (tptp.capability A C)))))
% 0.40/0.60  (assume a13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (= (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (= (tptp.internal_friction A B) (tptp.internal_friction A C))) (= (tptp.capability A B) (tptp.capability A C)))))
% 0.40/0.60  (assume a14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C)))))
% 0.40/0.60  (assume a15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))))
% 0.40/0.60  (assume a16 (tptp.organization tptp.sk1))
% 0.40/0.60  (assume a17 (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2)))
% 0.40/0.60  (assume a18 (not (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2))))
% 0.40/0.60  (step t1 (cl (not (= (or (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (or (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) (not (or (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (or (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule equiv_pos2)
% 0.40/0.60  (step t2 (cl (= (= (= (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) true) (= (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule equiv_simplify)
% 0.40/0.60  (step t3 (cl (not (= (= (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) true)) (= (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule equiv1 :premises (t2))
% 0.40/0.60  (step t4 (cl (= (= (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))))) :rule all_simplify)
% 0.40/0.60  (step t5 (cl (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule refl)
% 0.40/0.60  (step t6 (cl (= (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule all_simplify)
% 0.40/0.60  (step t7 (cl (= (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule cong :premises (t5 t6))
% 0.40/0.60  (step t8 (cl (= (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) true)) :rule all_simplify)
% 0.40/0.60  (step t9 (cl (= (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) true)) :rule trans :premises (t7 t8))
% 0.40/0.60  (step t10 (cl (= (= (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) true)) :rule trans :premises (t4 t9))
% 0.40/0.60  (step t11 (cl (= (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule resolution :premises (t3 t10))
% 0.40/0.60  (step t12 (cl (= (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule refl)
% 0.40/0.60  (step t13 (cl (= (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule refl)
% 0.40/0.60  (step t14 (cl (= (or (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (or (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) :rule cong :premises (t11 t12 t13))
% 0.40/0.60  (step t15 (cl (not (= (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) (not (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule equiv_pos2)
% 0.40/0.60  (step t16 (cl (= (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule refl)
% 0.40/0.60  (step t17 (cl (= (= (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false) (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))))) :rule equiv_simplify)
% 0.40/0.60  (step t18 (cl (= (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false) (not (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))))) :rule equiv2 :premises (t17))
% 0.40/0.60  (step t19 (cl (not (not (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule not_not)
% 0.40/0.60  (step t20 (cl (= (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule resolution :premises (t18 t19))
% 0.40/0.60  (step t21 (cl (=> (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule implies_neg1)
% 0.40/0.60  (anchor :step t22)
% 0.40/0.60  (assume t22.a0 (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))
% 0.40/0.60  (assume t22.a1 (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))
% 0.40/0.60  (assume t22.a2 (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))
% 0.40/0.60  (step t22.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 0.40/0.60  (step t22.t2 (cl (= (= false true) false)) :rule all_simplify)
% 0.40/0.60  (step t22.t3 (cl (= (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) false) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule equiv_simplify)
% 0.40/0.60  (step t22.t4 (cl (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) false) (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule equiv2 :premises (t22.t3))
% 0.40/0.60  (step t22.t5 (cl (not (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule not_not)
% 0.40/0.60  (step t22.t6 (cl (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) false) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule resolution :premises (t22.t4 t22.t5))
% 0.40/0.60  (step t22.t7 (cl (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) false)) :rule resolution :premises (t22.t6 t22.a2))
% 0.40/0.60  (step t22.t8 (cl (= false (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule symm :premises (t22.t7))
% 0.40/0.60  (step t22.t9 (cl (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk3))) :rule refl)
% 0.40/0.60  (step t22.t10 (cl (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3))) :rule symm :premises (t22.a1))
% 0.40/0.60  (step t22.t11 (cl (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk3)))) :rule cong :premises (t22.t9 t22.t10))
% 0.40/0.60  (step t22.t12 (cl (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule symm :premises (t22.t10))
% 0.40/0.60  (step t22.t13 (cl (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk3)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule cong :premises (t22.t12 t22.t12))
% 0.40/0.60  (step t22.t14 (cl (= (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) true) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule equiv_simplify)
% 0.40/0.60  (step t22.t15 (cl (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) true) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule equiv2 :premises (t22.t14))
% 0.40/0.60  (step t22.t16 (cl (= (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) true)) :rule resolution :premises (t22.t15 t22.a0))
% 0.40/0.60  (step t22.t17 (cl (= false true)) :rule trans :premises (t22.t8 t22.t11 t22.t13 t22.t16))
% 0.40/0.60  (step t22.t18 (cl false) :rule resolution :premises (t22.t1 t22.t2 t22.t17))
% 0.40/0.60  (step t22 (cl (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false) :rule subproof :discharge (t22.a0 t22.a1 t22.a2))
% 0.40/0.60  (step t23 (cl (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule and_pos)
% 0.40/0.60  (step t24 (cl (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule and_pos)
% 0.40/0.60  (step t25 (cl (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule and_pos)
% 0.40/0.60  (step t26 (cl false (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) :rule resolution :premises (t22 t23 t24 t25))
% 0.40/0.60  (step t27 (cl (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) false) :rule reordering :premises (t26))
% 0.40/0.60  (step t28 (cl (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) false) :rule contraction :premises (t27))
% 0.40/0.60  (step t29 (cl (=> (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false) false) :rule resolution :premises (t21 t28))
% 0.40/0.60  (step t30 (cl (=> (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false) (not false)) :rule implies_neg2)
% 0.40/0.60  (step t31 (cl (=> (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false) (=> (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false)) :rule resolution :premises (t29 t30))
% 0.40/0.60  (step t32 (cl (=> (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false)) :rule contraction :premises (t31))
% 0.40/0.60  (step t33 (cl (= (=> (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false) (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))))) :rule implies_simplify)
% 0.40/0.60  (step t34 (cl (not (=> (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false)) (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) :rule equiv1 :premises (t33))
% 0.40/0.60  (step t35 (cl (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) :rule resolution :premises (t32 t34))
% 0.40/0.60  (step t36 (cl (= (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) false)) :rule resolution :premises (t20 t35))
% 0.40/0.60  (step t37 (cl (= (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) false))) :rule cong :premises (t16 t36))
% 0.40/0.60  (step t38 (cl (= (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) false) (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) :rule all_simplify)
% 0.40/0.60  (step t39 (cl (= (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) :rule trans :premises (t37 t38))
% 0.40/0.60  (step t40 (cl (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule implies_neg1)
% 0.40/0.60  (anchor :step t41)
% 0.40/0.60  (assume t41.a0 (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))
% 0.40/0.60  (assume t41.a1 (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))
% 0.40/0.60  (assume t41.a2 (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))
% 0.40/0.60  (step t41.t1 (cl (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule and_neg)
% 0.40/0.60  (step t41.t2 (cl (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule resolution :premises (t41.t1 t41.a2 t41.a1 t41.a0))
% 0.40/0.60  (step t41 (cl (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule subproof :discharge (t41.a0 t41.a1 t41.a2))
% 0.40/0.60  (step t42 (cl (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule and_pos)
% 0.40/0.60  (step t43 (cl (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule and_pos)
% 0.40/0.60  (step t44 (cl (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule and_pos)
% 0.40/0.60  (step t45 (cl (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule resolution :premises (t41 t42 t43 t44))
% 0.40/0.60  (step t46 (cl (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule reordering :premises (t45))
% 0.40/0.60  (step t47 (cl (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule contraction :premises (t46))
% 0.40/0.60  (step t48 (cl (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule resolution :premises (t40 t47))
% 0.40/0.60  (step t49 (cl (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (not (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) :rule implies_neg2)
% 0.40/0.60  (step t50 (cl (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) :rule resolution :premises (t48 t49))
% 0.40/0.60  (step t51 (cl (=> (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (and (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) :rule contraction :premises (t50))
% 0.40/0.60  (step t52 (cl (not (and (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule resolution :premises (t15 t39 t51))
% 0.40/0.60  (step t53 (cl (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule not_and :premises (t52))
% 0.40/0.60  (step t54 (cl (or (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) :rule or_neg)
% 0.40/0.60  (step t55 (cl (or (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule or_neg)
% 0.40/0.60  (step t56 (cl (or (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule or_neg)
% 0.40/0.60  (step t57 (cl (or (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (or (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (or (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule resolution :premises (t53 t54 t55 t56))
% 0.40/0.60  (step t58 (cl (or (not (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule contraction :premises (t57))
% 0.40/0.60  (step t59 (cl (or (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule resolution :premises (t1 t14 t58))
% 0.40/0.60  (step t60 (cl (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule or :premises (t59))
% 0.40/0.60  (step t61 (cl (=> (forall ((B $$unsorted)) (tptp.smaller_or_equal B B)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (forall ((B $$unsorted)) (tptp.smaller_or_equal B B))) :rule implies_neg1)
% 0.40/0.60  (anchor :step t62)
% 0.40/0.60  (assume t62.a0 (forall ((B $$unsorted)) (tptp.smaller_or_equal B B)))
% 0.40/0.60  (step t62.t1 (cl (or (not (forall ((B $$unsorted)) (tptp.smaller_or_equal B B))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule forall_inst :args ((:= B (tptp.internal_friction tptp.sk1 tptp.sk2))))
% 0.40/0.60  (step t62.t2 (cl (not (forall ((B $$unsorted)) (tptp.smaller_or_equal B B))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule or :premises (t62.t1))
% 0.40/0.60  (step t62.t3 (cl (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule resolution :premises (t62.t2 t62.a0))
% 0.40/0.60  (step t62 (cl (not (forall ((B $$unsorted)) (tptp.smaller_or_equal B B))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule subproof :discharge (t62.a0))
% 0.40/0.60  (step t63 (cl (=> (forall ((B $$unsorted)) (tptp.smaller_or_equal B B)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule resolution :premises (t61 t62))
% 0.40/0.60  (step t64 (cl (=> (forall ((B $$unsorted)) (tptp.smaller_or_equal B B)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule implies_neg2)
% 0.40/0.60  (step t65 (cl (=> (forall ((B $$unsorted)) (tptp.smaller_or_equal B B)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) (=> (forall ((B $$unsorted)) (tptp.smaller_or_equal B B)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule resolution :premises (t63 t64))
% 0.40/0.60  (step t66 (cl (=> (forall ((B $$unsorted)) (tptp.smaller_or_equal B B)) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule contraction :premises (t65))
% 0.40/0.60  (step t67 (cl (not (forall ((B $$unsorted)) (tptp.smaller_or_equal B B))) (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule implies :premises (t66))
% 0.40/0.60  (step t68 (cl (not (= (forall ((A $$unsorted) (B $$unsorted)) (or (not (= A B)) (tptp.smaller_or_equal A B))) (forall ((B $$unsorted)) (tptp.smaller_or_equal B B)))) (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (= A B)) (tptp.smaller_or_equal A B)))) (forall ((B $$unsorted)) (tptp.smaller_or_equal B B))) :rule equiv_pos2)
% 0.40/0.60  (step t69 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (or (not (= A B)) (tptp.smaller_or_equal A B))) (forall ((B $$unsorted)) (or (not (= B B)) (tptp.smaller_or_equal B B))))) :rule all_simplify)
% 0.40/0.60  (anchor :step t70 :args ((B $$unsorted) (:= B B)))
% 0.40/0.60  (step t70.t1 (cl (= B B)) :rule refl)
% 0.40/0.60  (step t70.t2 (cl (= (= B B) true)) :rule all_simplify)
% 0.40/0.60  (step t70.t3 (cl (= (not (= B B)) (not true))) :rule cong :premises (t70.t2))
% 0.40/0.60  (step t70.t4 (cl (= (not true) false)) :rule all_simplify)
% 0.40/0.60  (step t70.t5 (cl (= (not (= B B)) false)) :rule trans :premises (t70.t3 t70.t4))
% 0.40/0.60  (step t70.t6 (cl (= (tptp.smaller_or_equal B B) (tptp.smaller_or_equal B B))) :rule refl)
% 0.40/0.60  (step t70.t7 (cl (= (or (not (= B B)) (tptp.smaller_or_equal B B)) (or false (tptp.smaller_or_equal B B)))) :rule cong :premises (t70.t5 t70.t6))
% 0.40/0.60  (step t70.t8 (cl (= (or false (tptp.smaller_or_equal B B)) (tptp.smaller_or_equal B B))) :rule all_simplify)
% 0.40/0.60  (step t70.t9 (cl (= (or (not (= B B)) (tptp.smaller_or_equal B B)) (tptp.smaller_or_equal B B))) :rule trans :premises (t70.t7 t70.t8))
% 0.40/0.60  (step t70 (cl (= (forall ((B $$unsorted)) (or (not (= B B)) (tptp.smaller_or_equal B B))) (forall ((B $$unsorted)) (tptp.smaller_or_equal B B)))) :rule bind)
% 0.40/0.60  (step t71 (cl (= (forall ((A $$unsorted) (B $$unsorted)) (or (not (= A B)) (tptp.smaller_or_equal A B))) (forall ((B $$unsorted)) (tptp.smaller_or_equal B B)))) :rule trans :premises (t69 t70))
% 0.40/0.60  (step t72 (cl (forall ((B $$unsorted)) (tptp.smaller_or_equal B B))) :rule resolution :premises (t68 t71 a2))
% 0.40/0.60  (step t73 (cl (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule resolution :premises (t67 t72))
% 0.40/0.60  (step t74 (cl (not (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule or_pos)
% 0.40/0.60  (step t75 (cl (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)) (not (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule reordering :premises (t74))
% 0.40/0.60  (step t76 (cl (not (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) (not (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule equiv_pos2)
% 0.40/0.60  (step t77 (cl (= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))))) :rule refl)
% 0.40/0.60  (step t78 (cl (= (not (tptp.organization tptp.sk1)) (not (tptp.organization tptp.sk1)))) :rule refl)
% 0.40/0.60  (step t79 (cl (= (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule all_simplify)
% 0.40/0.60  (step t80 (cl (= (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule cong :premises (t78 t79))
% 0.40/0.60  (step t81 (cl (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))))) :rule cong :premises (t77 t80))
% 0.40/0.60  (step t82 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C))))) :rule implies_neg1)
% 0.40/0.60  (anchor :step t83)
% 0.40/0.60  (assume t83.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))))
% 0.40/0.60  (step t83.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C))))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3))))) :rule forall_inst :args ((:= A tptp.sk1) (:= B tptp.sk2) (:= C tptp.sk3)))
% 0.40/0.60  (step t83.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C))))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3)))) :rule or :premises (t83.t1))
% 0.40/0.60  (step t83.t3 (cl (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3)))) :rule resolution :premises (t83.t2 t83.a0))
% 0.40/0.60  (step t83 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C))))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3)))) :rule subproof :discharge (t83.a0))
% 0.40/0.60  (step t84 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3)))) :rule resolution :premises (t82 t83))
% 0.40/0.60  (step t85 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3)))) (not (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3))))) :rule implies_neg2)
% 0.40/0.60  (step t86 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3))))) :rule resolution :premises (t84 t85))
% 0.40/0.60  (step t87 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk2) (tptp.internal_friction tptp.sk1 tptp.sk3))))) :rule contraction :premises (t86))
% 0.40/0.60  (step t88 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C)))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))))) :rule resolution :premises (t76 t81 t87))
% 0.40/0.60  (step t89 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (= (tptp.internal_friction A B) (tptp.internal_friction A C))))) (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule implies :premises (t88))
% 0.40/0.60  (step t90 (cl (or (not (tptp.organization tptp.sk1)) (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule resolution :premises (t89 a15))
% 0.40/0.60  (step t91 (cl (= (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) :rule resolution :premises (t75 a16 t90))
% 0.40/0.60  (step t92 (cl (not (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)))) (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2))) :rule or_pos)
% 0.40/0.60  (step t93 (cl (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)) (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (not (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2))))) :rule reordering :premises (t92))
% 0.40/0.60  (step t94 (cl (not (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)))) (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) :rule or_pos)
% 0.40/0.60  (step t95 (cl (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)) (not (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))))) :rule reordering :premises (t94))
% 0.40/0.60  (step t96 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))))) :rule implies_neg1)
% 0.40/0.60  (anchor :step t97)
% 0.40/0.60  (assume t97.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C)))))
% 0.40/0.60  (step t97.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))))) :rule forall_inst :args ((:= A tptp.sk1) (:= B tptp.sk3) (:= C tptp.sk2)))
% 0.40/0.60  (step t97.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)))) :rule or :premises (t97.t1))
% 0.40/0.60  (step t97.t3 (cl (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)))) :rule resolution :premises (t97.t2 t97.a0))
% 0.40/0.60  (step t97 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)))) :rule subproof :discharge (t97.a0))
% 0.40/0.60  (step t98 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)))) :rule resolution :premises (t96 t97))
% 0.40/0.60  (step t99 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)))) (not (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))))) :rule implies_neg2)
% 0.40/0.60  (step t100 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))))) :rule resolution :premises (t98 t99))
% 0.40/0.60  (step t101 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))))) :rule contraction :premises (t100))
% 0.40/0.60  (step t102 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.age A B) (tptp.age A C))) (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)))) :rule implies :premises (t101))
% 0.40/0.60  (step t103 (cl (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)))) :rule resolution :premises (t102 a14))
% 0.40/0.60  (step t104 (cl (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) :rule resolution :premises (t95 a16 a17 t103))
% 0.40/0.60  (step t105 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C))))) :rule implies_neg1)
% 0.40/0.60  (anchor :step t106)
% 0.40/0.60  (assume t106.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C)))))
% 0.40/0.60  (step t106.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C))))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2))))) :rule forall_inst :args ((:= A tptp.sk1) (:= B tptp.sk3) (:= C tptp.sk2)))
% 0.40/0.60  (step t106.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C))))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)))) :rule or :premises (t106.t1))
% 0.40/0.60  (step t106.t3 (cl (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)))) :rule resolution :premises (t106.t2 t106.a0))
% 0.40/0.60  (step t106 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C))))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)))) :rule subproof :discharge (t106.a0))
% 0.40/0.60  (step t107 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)))) :rule resolution :premises (t105 t106))
% 0.40/0.60  (step t108 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)))) (not (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2))))) :rule implies_neg2)
% 0.40/0.60  (step t109 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2))))) :rule resolution :premises (t107 t108))
% 0.40/0.60  (step t110 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C)))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2))))) :rule contraction :premises (t109))
% 0.40/0.60  (step t111 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.organization A)) (not (tptp.greater (tptp.stock_of_knowledge A B) (tptp.stock_of_knowledge A C))) (not (tptp.smaller_or_equal (tptp.internal_friction A B) (tptp.internal_friction A C))) (tptp.greater (tptp.capability A B) (tptp.capability A C))))) (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)))) :rule implies :premises (t110))
% 0.40/0.60  (step t112 (cl (or (not (tptp.organization tptp.sk1)) (not (tptp.greater (tptp.stock_of_knowledge tptp.sk1 tptp.sk3) (tptp.stock_of_knowledge tptp.sk1 tptp.sk2))) (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) (tptp.greater (tptp.capability tptp.sk1 tptp.sk3) (tptp.capability tptp.sk1 tptp.sk2)))) :rule resolution :premises (t111 a11))
% 0.40/0.60  (step t113 (cl (not (tptp.smaller_or_equal (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2)))) :rule resolution :premises (t93 a18 a16 t104 t112))
% 0.40/0.60  (step t114 (cl) :rule resolution :premises (t60 t73 t91 t113))
% 0.40/0.60  
% 0.40/0.60  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.s6Qe3w3vfk/cvc5---1.0.5_21632.smt2
% 0.40/0.61  % cvc5---1.0.5 exiting
% 0.40/0.61  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------