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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEV416^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n024.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 Jun  3 08:55:55 AM UTC 2026

% Result   : Theorem 0.17s 0.35s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SEV416^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25  % Computer : n024.cluster.edu
% 0.08/0.25  % Model    : x86_64 x86_64
% 0.08/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25  % Memory   : 8042.1875MB
% 0.08/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25  % CPULimit : 300
% 0.08/0.25  % WCLimit  : 300
% 0.08/0.25  % DateTime : Tue Jun  2 13:32:00 EDT 2026
% 0.08/0.25  % CPUTime  : 
% 0.08/0.32  %----Proving TH0
% 0.17/0.35  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.17/0.35  % SZS status Theorem
% 0.17/0.35  % SZS output start Proof
% 0.17/0.35  (
% 0.17/0.35  (declare-sort $$unsorted 0)
% 0.17/0.35  (declare-const tptp.cA (-> $$unsorted Bool))
% 0.17/0.35  (declare-const tptp.cB (-> $$unsorted Bool))
% 0.17/0.35  (declare-const tptp.cG Bool)
% 0.17/0.35  (define @t1 () (@var "Xx" $$unsorted))
% 0.17/0.35  (define @t2 () (_ tptp.cB @t1))
% 0.17/0.35  (define @t3 () (_ tptp.cA @t1))
% 0.17/0.35  (define @t4 () (@list @t1))
% 0.17/0.35  (define @t5 () (forall @t4 (=> @t3 @t2)))
% 0.17/0.35  (define @t6 () (=> @t5 tptp.cG))
% 0.17/0.35  (define @t7 () (and @t5 @t5))
% 0.17/0.35  (define @t8 () (=> @t7 tptp.cG))
% 0.17/0.35  (define @t9 () (or @t8 @t6))
% 0.17/0.35  (define @t10 () (=> @t9 @t6))
% 0.17/0.35  (define @t11 () (not @t10))
% 0.17/0.35  (define @t12 () (tptp.cB @t1))
% 0.17/0.35  (define @t13 () (tptp.cA @t1))
% 0.17/0.35  (define @t14 () (not @t3))
% 0.17/0.35  (define @t15 () (or @t14 @t2))
% 0.17/0.35  (define @t16 () (=> (forall @t4 (or (not @t13) @t12)) tptp.cG))
% 0.17/0.35  (assume @p1 @t11)
% 0.17/0.35  (assume @p2 true)
% 0.17/0.35  (step @p3 :rule refl :args (tptp.cG))
% 0.17/0.35  (step @p4 :rule refl :args (@t12))
% 0.17/0.35  (step @p5 :rule refl :args (@t2))
% 0.17/0.35  (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t2 @t12)))
% 0.17/0.35  (step @p7 :rule symm :premises (@p6))
% 0.17/0.35  (step @p8 :rule eq_resolve :premises (@p5 @p7))
% 0.17/0.35  (step @p9 :rule refl :args (@t13))
% 0.17/0.35  (step @p10 :rule refl :args (@t3))
% 0.17/0.35  (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t3 @t13)))
% 0.17/0.35  (step @p12 :rule symm :premises (@p11))
% 0.17/0.35  (step @p13 :rule eq_resolve :premises (@p10 @p12))
% 0.17/0.35  (step @p14 :rule cong :premises (@p13) :args (@t14))
% 0.17/0.35  (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t15))
% 0.17/0.35  (step @p16 :rule cong :premises (@p15) :args ((forall @t4 @t15)))
% 0.17/0.35  (step @p17 :rule bool-impl-elim :args (@t3 @t2))
% 0.17/0.35  (step @p18 :rule cong :premises (@p17) :args (@t5))
% 0.17/0.35  (step @p19 :rule trans :premises (@p18 @p16))
% 0.17/0.35  (step @p20 :rule cong :premises (@p19 @p3) :args (@t6))
% 0.17/0.35  (step @p21 :rule aci_norm :args ((= (or @t16 @t16) @t16)))
% 0.17/0.35  (step @p22 :rule aci_norm :args ((= @t7 @t5)))
% 0.17/0.35  (step @p23 :rule trans :premises (@p22 @p19))
% 0.17/0.35  (step @p24 :rule cong :premises (@p23 @p3) :args (@t8))
% 0.17/0.35  (step @p25 :rule nary_cong :premises (@p24 @p20) :args (@t9))
% 0.17/0.35  (step @p26 :rule trans :premises (@p25 @p21))
% 0.17/0.35  (step @p27 :rule cong :premises (@p26 @p20) :args (@t10))
% 0.17/0.35  (step @p28 :rule cong :premises (@p27) :args (@t11))
% 0.17/0.35  (step @p29 :rule eq_resolve :premises (@p1 @p28))
% 0.17/0.35  (step @p30 :rule not_implies_elim2 :premises (@p29))
% 0.17/0.35  (step @p31 :rule not_implies_elim1 :premises (@p29))
% 0.17/0.35  (step @p32 false :rule contra :premises (@p31 @p30))
% 0.17/0.35  )
% 0.17/0.35  % SZS output end Proof
% 0.17/0.35  % cvc5 exiting
%------------------------------------------------------------------------------