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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN931+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% 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 Jun  3 09:10:05 AM UTC 2026

% Result   : Theorem 0.37s 0.57s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN931+1 : TPTP v9.2.1. Released v3.1.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n015.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 23:49:34 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.27/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.57  % SZS status Theorem
% 0.37/0.57  % SZS output start Proof
% 0.37/0.57  (
% 0.37/0.57  (declare-sort $$unsorted 0)
% 0.37/0.57  (declare-const tptp.p (-> $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.c Bool)
% 0.37/0.57  (define @t1 () (@var "X" $$unsorted))
% 0.37/0.57  (define @t2 () (tptp.p @t1))
% 0.37/0.57  (define @t3 () (@list @t1))
% 0.37/0.57  (define @t4 () (exists @t3 @t2))
% 0.37/0.57  (define @t5 () (and @t4 tptp.c))
% 0.37/0.57  (define @t6 () (and @t2 tptp.c))
% 0.37/0.57  (define @t7 () (exists @t3 @t6))
% 0.37/0.57  (define @t8 () (= @t7 @t5))
% 0.37/0.57  (define @t9 () (not @t8))
% 0.37/0.57  (define @t10 () (not @t2))
% 0.37/0.57  (define @t11 () (forall @t3 @t10))
% 0.37/0.57  (define @t12 () (not tptp.c))
% 0.37/0.57  (define @t13 () (or @t12 @t11))
% 0.37/0.57  (define @t14 () (not @t11))
% 0.37/0.57  (define @t15 () (and @t14 tptp.c))
% 0.37/0.57  (define @t16 () (not @t15))
% 0.37/0.57  (define @t17 () (or @t12 @t10))
% 0.37/0.57  (define @t18 () (or @t10 @t12))
% 0.37/0.57  (define @t19 () (forall @t3 (not @t6)))
% 0.37/0.57  (define @t20 () (not @t19))
% 0.37/0.57  (define @t21 () (@list false))
% 0.37/0.57  (define @t22 () (@list @t15))
% 0.37/0.57  (define @t23 () (not @t13))
% 0.37/0.57  (assume @p1 @t9)
% 0.37/0.57  (assume @p2 true)
% 0.37/0.57  (step @p3 :rule bool-double-not-elim :args (tptp.c))
% 0.37/0.57  (step @p4 :rule refl :args (@t13))
% 0.37/0.57  (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t13 (not @t12))))
% 0.37/0.57  (step @p6 :rule cnf_or_neg :args (@t13 0))
% 0.37/0.57  (step @p7 :rule eq_resolve :premises (@p6 @p5))
% 0.37/0.57  (step @p8 :rule reordering :premises (@p7) :args ((or tptp.c @t13)))
% 0.37/0.57  (step @p9 :rule cnf_and_pos :args (@t15 1))
% 0.37/0.57  (step @p10 :rule reordering :premises (@p9) :args ((or tptp.c @t16)))
% 0.37/0.57  (step @p11 :rule refl :args (tptp.c))
% 0.37/0.57  (step @p12 :rule exists-elim :args ((= @t4 @t14)))
% 0.37/0.57  (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t5))
% 0.37/0.57  (step @p14 :rule quant-miniscope-or :args ((= (forall @t3 @t17) @t13)))
% 0.37/0.57  (step @p15 :rule aci_norm :args ((= @t18 @t17)))
% 0.37/0.57  (step @p16 :rule cong :premises (@p15) :args ((forall @t3 @t18)))
% 0.37/0.57  (step @p17 :rule trans :premises (@p16 @p14))
% 0.37/0.57  (step @p18 :rule bool-and-de-morgan :args (@t2 tptp.c true))
% 0.37/0.57  (step @p19 :rule cong :premises (@p18) :args (@t19))
% 0.37/0.57  (step @p20 :rule trans :premises (@p19 @p17))
% 0.37/0.57  (step @p21 :rule cong :premises (@p20) :args (@t20))
% 0.37/0.57  (step @p22 :rule exists-elim :args ((= @t7 @t20)))
% 0.37/0.57  (step @p23 :rule trans :premises (@p22 @p21))
% 0.37/0.57  (step @p24 :rule cong :premises (@p23 @p13) :args (@t8))
% 0.37/0.57  (step @p25 :rule cong :premises (@p24) :args (@t9))
% 0.37/0.57  (step @p26 :rule eq_resolve :premises (@p1 @p25))
% 0.37/0.57  (step @p27 :rule not_equiv_elim1 :premises (@p26))
% 0.37/0.57  (step @p28 :rule chain_m_resolution :premises (@p27 @p10 @p8) :args (tptp.c (@list true false) (@list @t15 @t13)))
% 0.37/0.57  (step @p29 :rule refl :args (@t12))
% 0.37/0.57  (step @p30 :rule bool-double-not-elim :args (@t11))
% 0.37/0.57  (step @p31 :rule refl :args (@t15))
% 0.37/0.57  (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args ((or @t15 (not @t14) @t12)))
% 0.37/0.57  (step @p33 :rule cnf_and_neg :args (@t15))
% 0.37/0.57  (step @p34 :rule eq_resolve :premises (@p33 @p32))
% 0.37/0.57  (step @p35 :rule reordering :premises (@p34) :args ((or @t12 @t11 @t15)))
% 0.37/0.57  (step @p36 :rule cnf_or_neg :args (@t13 1))
% 0.37/0.57  (step @p37 :rule chain_m_resolution :premises (@p36 @p35 @p28 @p27) :args (@t15 (@list false false true) (@list @t11 tptp.c @t13)))
% 0.37/0.57  (step @p38 :rule cnf_and_pos :args (@t15 0))
% 0.37/0.57  (step @p39 :rule reordering :premises (@p38) :args ((or @t14 @t16)))
% 0.37/0.57  (step @p40 :rule chain_m_resolution :premises (@p39 @p37) :args (@t14 @t21 @t22))
% 0.37/0.57  (step @p41 :rule refl :args (@t16))
% 0.37/0.57  (step @p42 :rule bool-double-not-elim :args (@t13))
% 0.37/0.57  (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t23) @t16)))
% 0.37/0.57  (step @p44 :rule not_equiv_elim2 :premises (@p26))
% 0.37/0.57  (step @p45 :rule eq_resolve :premises (@p44 @p43))
% 0.37/0.57  (step @p46 :rule chain_m_resolution :premises (@p45 @p37) :args (@t13 @t21 @t22))
% 0.37/0.57  (step @p47 :rule cnf_or_pos :args (@t13))
% 0.37/0.57  (step @p48 :rule reordering :premises (@p47) :args ((or @t12 @t11 @t23)))
% 0.37/0.57  (step @p49 false :rule chain_m_resolution :premises (@p48 @p46 @p40 @p28) :args (false (@list false true false) (@list @t13 @t11 tptp.c)))
% 0.37/0.57  )
% 0.37/0.57  % SZS output end Proof
% 0.37/0.57  % cvc5 exiting
%------------------------------------------------------------------------------