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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN932+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 09:10:05 AM UTC 2026

% Result   : Theorem 0.31s 0.55s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN932+1 : TPTP v9.2.1. Released v3.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n002.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 23:49:33 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.31/0.55  % SZS status Theorem
% 0.31/0.55  % SZS output start Proof
% 0.31/0.55  (
% 0.31/0.55  (declare-sort $$unsorted 0)
% 0.31/0.55  (declare-const tptp.c Bool)
% 0.31/0.55  (define @t1 () (@list (@var "X" $$unsorted)))
% 0.31/0.55  (define @t2 () (exists @t1 tptp.c))
% 0.31/0.55  (define @t3 () (not (= @t2 tptp.c)))
% 0.31/0.55  (define @t4 () (not tptp.c))
% 0.31/0.55  (define @t5 () (forall @t1 @t4))
% 0.31/0.55  (define @t6 () (not @t5))
% 0.31/0.55  (assume @p1 @t3)
% 0.31/0.55  (assume @p2 true)
% 0.31/0.55  (step @p3 :rule evaluate :args ((not true)))
% 0.31/0.55  (step @p4 :rule eq-refl :args (tptp.c))
% 0.31/0.55  (step @p5 :rule bool-double-not-elim :args (tptp.c))
% 0.31/0.55  (step @p6 :rule quant-unused-vars :args ((= @t5 @t4)))
% 0.31/0.55  (step @p7 :rule cong :premises (@p6) :args (@t6))
% 0.31/0.55  (step @p8 :rule trans :premises (@p7 @p5))
% 0.31/0.55  (step @p9 :rule exists-elim :args ((= @t2 @t6)))
% 0.31/0.55  (step @p10 :rule trans :premises (@p9 @p8))
% 0.31/0.55  (step @p11 :rule refl :args (tptp.c))
% 0.31/0.55  (step @p12 :rule cong :premises (@p11 @p10) :args ((= tptp.c @t2)))
% 0.31/0.55  (step @p13 :rule trans :premises (@p12 @p4))
% 0.31/0.55  (step @p14 :rule eq-symm :args (@t2 tptp.c))
% 0.31/0.55  (step @p15 :rule trans :premises (@p14 @p13))
% 0.31/0.55  (step @p16 :rule cong :premises (@p15) :args (@t3))
% 0.31/0.55  (step @p17 :rule trans :premises (@p16 @p3))
% 0.31/0.55  (step @p18 false :rule eq_resolve :premises (@p1 @p17))
% 0.31/0.55  )
% 0.31/0.55  % SZS output end Proof
% 0.31/0.55  % cvc5 exiting
%------------------------------------------------------------------------------