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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN358+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n023.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 09:08:41 AM UTC 2026

% Result   : Theorem 0.30s 0.54s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN358+1 : TPTP v9.2.1. Released v2.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n023.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Jun  2 23:25:43 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.54  % SZS status Theorem
% 0.30/0.54  % SZS output start Proof
% 0.30/0.54  (
% 0.30/0.54  (declare-sort $$unsorted 0)
% 0.30/0.54  (declare-const tptp.p Bool)
% 0.30/0.54  (declare-const tptp.big_q (-> $$unsorted Bool))
% 0.30/0.54  (define @t1 () (@var "X" $$unsorted))
% 0.30/0.54  (define @t2 () (tptp.big_q @t1))
% 0.30/0.54  (define @t3 () (@list @t1))
% 0.30/0.54  (define @t4 () (exists @t3 @t2))
% 0.30/0.54  (define @t5 () (and tptp.p @t4))
% 0.30/0.54  (define @t6 () (and tptp.p @t2))
% 0.30/0.54  (define @t7 () (exists @t3 @t6))
% 0.30/0.54  (define @t8 () (= @t7 @t5))
% 0.30/0.54  (define @t9 () (not @t8))
% 0.30/0.54  (define @t10 () (not @t2))
% 0.30/0.54  (define @t11 () (forall @t3 @t10))
% 0.30/0.54  (define @t12 () (not tptp.p))
% 0.30/0.54  (define @t13 () (or @t12 @t11))
% 0.30/0.54  (define @t14 () (not @t11))
% 0.30/0.54  (define @t15 () (and tptp.p @t14))
% 0.30/0.54  (define @t16 () (not @t15))
% 0.30/0.54  (define @t17 () (forall @t3 (not @t6)))
% 0.30/0.54  (define @t18 () (not @t17))
% 0.30/0.54  (define @t19 () (@list false))
% 0.30/0.54  (define @t20 () (@list @t15))
% 0.30/0.54  (define @t21 () (not @t13))
% 0.30/0.54  (assume @p1 @t9)
% 0.30/0.54  (assume @p2 true)
% 0.30/0.54  (step @p3 :rule bool-double-not-elim :args (tptp.p))
% 0.30/0.54  (step @p4 :rule refl :args (@t13))
% 0.30/0.54  (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t13 (not @t12))))
% 0.30/0.54  (step @p6 :rule cnf_or_neg :args (@t13 0))
% 0.30/0.54  (step @p7 :rule eq_resolve :premises (@p6 @p5))
% 0.30/0.54  (step @p8 :rule reordering :premises (@p7) :args ((or tptp.p @t13)))
% 0.30/0.54  (step @p9 :rule cnf_and_pos :args (@t15 0))
% 0.30/0.54  (step @p10 :rule reordering :premises (@p9) :args ((or tptp.p @t16)))
% 0.30/0.54  (step @p11 :rule exists-elim :args ((= @t4 @t14)))
% 0.30/0.54  (step @p12 :rule refl :args (tptp.p))
% 0.30/0.54  (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t5))
% 0.30/0.54  (step @p14 :rule quant-miniscope-or :args ((= (forall @t3 (or @t12 @t10)) @t13)))
% 0.30/0.54  (step @p15 :rule bool-and-de-morgan :args (tptp.p @t2 true))
% 0.30/0.54  (step @p16 :rule cong :premises (@p15) :args (@t17))
% 0.30/0.54  (step @p17 :rule trans :premises (@p16 @p14))
% 0.30/0.54  (step @p18 :rule cong :premises (@p17) :args (@t18))
% 0.30/0.54  (step @p19 :rule exists-elim :args ((= @t7 @t18)))
% 0.30/0.54  (step @p20 :rule trans :premises (@p19 @p18))
% 0.30/0.54  (step @p21 :rule cong :premises (@p20 @p13) :args (@t8))
% 0.30/0.54  (step @p22 :rule cong :premises (@p21) :args (@t9))
% 0.30/0.54  (step @p23 :rule eq_resolve :premises (@p1 @p22))
% 0.30/0.54  (step @p24 :rule not_equiv_elim1 :premises (@p23))
% 0.30/0.54  (step @p25 :rule chain_m_resolution :premises (@p24 @p10 @p8) :args (tptp.p (@list true false) (@list @t15 @t13)))
% 0.30/0.54  (step @p26 :rule bool-double-not-elim :args (@t11))
% 0.30/0.54  (step @p27 :rule refl :args (@t12))
% 0.30/0.54  (step @p28 :rule refl :args (@t15))
% 0.30/0.54  (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args ((or @t15 @t12 (not @t14))))
% 0.30/0.54  (step @p30 :rule cnf_and_neg :args (@t15))
% 0.30/0.54  (step @p31 :rule eq_resolve :premises (@p30 @p29))
% 0.30/0.54  (step @p32 :rule reordering :premises (@p31) :args ((or @t12 @t11 @t15)))
% 0.30/0.54  (step @p33 :rule cnf_or_neg :args (@t13 1))
% 0.30/0.54  (step @p34 :rule chain_m_resolution :premises (@p33 @p32 @p25 @p24) :args (@t15 (@list false false true) (@list @t11 tptp.p @t13)))
% 0.30/0.54  (step @p35 :rule cnf_and_pos :args (@t15 1))
% 0.30/0.54  (step @p36 :rule reordering :premises (@p35) :args ((or @t14 @t16)))
% 0.30/0.54  (step @p37 :rule chain_m_resolution :premises (@p36 @p34) :args (@t14 @t19 @t20))
% 0.30/0.54  (step @p38 :rule refl :args (@t16))
% 0.30/0.54  (step @p39 :rule bool-double-not-elim :args (@t13))
% 0.30/0.54  (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t21) @t16)))
% 0.30/0.54  (step @p41 :rule not_equiv_elim2 :premises (@p23))
% 0.30/0.54  (step @p42 :rule eq_resolve :premises (@p41 @p40))
% 0.30/0.54  (step @p43 :rule chain_m_resolution :premises (@p42 @p34) :args (@t13 @t19 @t20))
% 0.30/0.54  (step @p44 :rule cnf_or_pos :args (@t13))
% 0.30/0.54  (step @p45 :rule reordering :premises (@p44) :args ((or @t12 @t11 @t21)))
% 0.30/0.54  (step @p46 false :rule chain_m_resolution :premises (@p45 @p43 @p37 @p25) :args (false (@list false true false) (@list @t13 @t11 tptp.p)))
% 0.30/0.54  )
% 0.30/0.54  % SZS output end Proof
% 0.30/0.54  % cvc5 exiting
%------------------------------------------------------------------------------