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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO028^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% 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 Jun  3 09:11:48 AM UTC 2026

% Result   : Theorem 0.30s 0.53s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYO028^1 : TPTP v9.2.1. Released v3.7.0.
% 0.11/0.12  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.33  % Computer : n007.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Tue Jun  2 23:51:11 EDT 2026
% 0.14/0.33  % CPUTime  : 
% 0.30/0.47  %----Proving TH0
% 0.30/0.53  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.30/0.53  % SZS status Theorem
% 0.30/0.53  % SZS output start Proof
% 0.30/0.53  (
% 0.30/0.53  (define @t1 () (@var "P" Bool))
% 0.30/0.53  (define @t2 () (@list @t1))
% 0.30/0.53  (define @t3 () (forall @t2 @t1))
% 0.30/0.53  (define @t4 () (or @t1 @t1))
% 0.30/0.53  (assume @p1 (not (not @t3)))
% 0.30/0.53  (assume @p2 true)
% 0.30/0.53  (step @p3 :rule quant-var-elim-eq :args ((= (forall @t2 (or (not (= @t1 false)) @t1)) false)))
% 0.30/0.53  (step @p4 :rule refl :args (@t1))
% 0.30/0.53  (step @p5 :rule bool-eq-false :args (@t1))
% 0.30/0.53  (step @p6 :rule symm :premises (@p5))
% 0.30/0.53  (step @p7 :rule cong :premises (@p6) :args ((not (not @t1))))
% 0.30/0.53  (step @p8 :rule bool-double-not-elim :args (@t1))
% 0.30/0.53  (step @p9 :rule symm :premises (@p8))
% 0.30/0.53  (step @p10 :rule trans :premises (@p9 @p7))
% 0.30/0.53  (step @p11 :rule nary_cong :premises (@p10 @p4) :args (@t4))
% 0.30/0.53  (step @p12 :rule aci_norm :args ((= @t1 @t4)))
% 0.30/0.53  (step @p13 :rule trans :premises (@p12 @p11))
% 0.30/0.53  (step @p14 :rule cong :premises (@p13) :args (@t3))
% 0.30/0.53  (step @p15 :rule trans :premises (@p14 @p3))
% 0.30/0.53  (step @p16 :rule bool-double-not-elim :args (@t3))
% 0.30/0.53  (step @p17 :rule trans :premises (@p16 @p15))
% 0.30/0.53  (step @p18 false :rule eq_resolve :premises (@p1 @p17))
% 0.30/0.53  )
% 0.30/0.53  % SZS output end Proof
% 0.30/0.53  % cvc5 exiting
%------------------------------------------------------------------------------