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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN960+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 : n003.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 09:10:08 AM UTC 2026

% Result   : Theorem 0.34s 0.60s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem  : SYN960+1 : TPTP v9.2.1. Released v3.1.0.
% 0.11/0.15  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.36  % Computer : n003.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Tue Jun  2 23:49:59 EDT 2026
% 0.16/0.36  % CPUTime  : 
% 0.25/0.54  %----Proving TF0_NAR, FOF, or CNF
% 0.34/0.60  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.34/0.60  % SZS status Theorem
% 0.34/0.60  % SZS output start Proof
% 0.34/0.60  (
% 0.34/0.60  (declare-sort $$unsorted 0)
% 0.34/0.60  (declare-const tptp.a (-> $$unsorted $$unsorted Bool))
% 0.34/0.60  (define @t1 () (@var "Y" $$unsorted))
% 0.34/0.60  (define @t2 () (@var "X" $$unsorted))
% 0.34/0.60  (define @t3 () (tptp.a @t2 @t1))
% 0.34/0.60  (define @t4 () (@list @t1 @t2))
% 0.34/0.60  (define @t5 () (exists @t4 @t3))
% 0.34/0.60  (define @t6 () (@list @t2 @t1))
% 0.34/0.60  (define @t7 () (exists @t6 @t3))
% 0.34/0.60  (define @t8 () (= @t7 @t5))
% 0.34/0.60  (define @t9 () (not @t8))
% 0.34/0.60  (define @t10 () (not @t3))
% 0.34/0.60  (define @t11 () (forall @t4 @t10))
% 0.34/0.60  (define @t12 () (forall @t6 @t10))
% 0.34/0.60  (define @t13 () (not @t11))
% 0.34/0.60  (define @t14 () (not @t12))
% 0.34/0.60  (assume @p1 @t9)
% 0.34/0.60  (assume @p2 true)
% 0.34/0.60  (step @p3 :rule quant_var_reordering :args ((= @t12 @t11)))
% 0.34/0.60  (step @p4 :rule equiv_elim2 :premises (@p3))
% 0.34/0.60  (step @p5 :rule bool-double-not-elim :args (@t11))
% 0.34/0.60  (step @p6 :rule bool-double-not-elim :args (@t12))
% 0.34/0.60  (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or (not @t14) (not @t13))))
% 0.34/0.60  (step @p8 :rule exists-elim :args ((= @t5 @t13)))
% 0.34/0.60  (step @p9 :rule exists-elim :args ((= @t7 @t14)))
% 0.34/0.60  (step @p10 :rule cong :premises (@p9 @p8) :args (@t8))
% 0.34/0.60  (step @p11 :rule cong :premises (@p10) :args (@t9))
% 0.34/0.60  (step @p12 :rule eq_resolve :premises (@p1 @p11))
% 0.34/0.60  (step @p13 :rule not_equiv_elim2 :premises (@p12))
% 0.34/0.60  (step @p14 :rule eq_resolve :premises (@p13 @p7))
% 0.34/0.60  (step @p15 :rule chain_m_resolution :premises (@p14 @p4) :args (@t12 (@list true) (@list @t11)))
% 0.34/0.60  (step @p16 :rule equiv_elim1 :premises (@p3))
% 0.34/0.60  (step @p17 :rule chain_m_resolution :premises (@p16 @p15) :args (@t11 (@list false) (@list @t12)))
% 0.34/0.60  (step @p18 :rule not_equiv_elim1 :premises (@p12))
% 0.34/0.60  (step @p19 false :rule chain_m_resolution :premises (@p18 @p17 @p15) :args (false (@list false false) (@list @t11 @t12)))
% 0.34/0.60  )
% 0.34/0.60  % SZS output end Proof
% 0.34/0.60  % cvc5 exiting
%------------------------------------------------------------------------------