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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN355+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 : n009.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 09:08:40 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  : SYN355+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n009.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 23:24:14 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 $$unsorted 0)
% 0.31/0.55  (declare-const tptp.big_r (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.big_p (-> $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.big_q (-> $$unsorted Bool))
% 0.31/0.55  (define @t1 () (@var "X" $$unsorted))
% 0.31/0.55  (define @t2 () (tptp.big_q @t1))
% 0.31/0.55  (define @t3 () (tptp.big_p @t1))
% 0.31/0.55  (define @t4 () (@list @t1))
% 0.31/0.55  (define @t5 () (forall @t4 (or @t3 @t2)))
% 0.31/0.55  (define @t6 () (tptp.big_r @t1))
% 0.31/0.55  (define @t7 () (not @t2))
% 0.31/0.55  (define @t8 () (forall @t4 (=> @t7 @t6)))
% 0.31/0.55  (define @t9 () (forall @t4 (=> @t6 @t3)))
% 0.31/0.55  (define @t10 () (and @t9 @t8))
% 0.31/0.55  (define @t11 () (=> @t10 @t5))
% 0.31/0.55  (define @t12 () (not @t11))
% 0.31/0.55  (define @t13 () (@quantifiers_skolemize @t5 0))
% 0.31/0.55  (define @t14 () (tptp.big_q @t13))
% 0.31/0.55  (define @t15 () (tptp.big_p @t13))
% 0.31/0.55  (define @t16 () (or @t15 @t14))
% 0.31/0.55  (define @t17 () (@list true))
% 0.31/0.55  (define @t18 () (@list @t16))
% 0.31/0.55  (define @t19 () (@list @t13))
% 0.31/0.55  (define @t20 () (tptp.big_r @t13))
% 0.31/0.55  (define @t21 () (not @t20))
% 0.31/0.55  (define @t22 () (or @t21 @t15))
% 0.31/0.55  (define @t23 () (or @t14 @t20))
% 0.31/0.55  (assume @p1 @t12)
% 0.31/0.55  (assume @p2 true)
% 0.31/0.55  (step @p3 :rule refl :args (@t5))
% 0.31/0.55  (step @p4 :rule refl :args (@t6))
% 0.31/0.55  (step @p5 :rule bool-double-not-elim :args (@t2))
% 0.31/0.55  (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or (not @t7) @t6)))
% 0.31/0.55  (step @p7 :rule bool-impl-elim :args (@t7 @t6))
% 0.31/0.55  (step @p8 :rule trans :premises (@p7 @p6))
% 0.31/0.55  (step @p9 :rule cong :premises (@p8) :args (@t8))
% 0.31/0.55  (step @p10 :rule bool-impl-elim :args (@t6 @t3))
% 0.31/0.55  (step @p11 :rule cong :premises (@p10) :args (@t9))
% 0.31/0.55  (step @p12 :rule nary_cong :premises (@p11 @p9) :args (@t10))
% 0.31/0.55  (step @p13 :rule cong :premises (@p12 @p3) :args (@t11))
% 0.31/0.55  (step @p14 :rule cong :premises (@p13) :args (@t12))
% 0.31/0.55  (step @p15 :rule eq_resolve :premises (@p1 @p14))
% 0.31/0.55  (step @p16 :rule not_implies_elim2 :premises (@p15))
% 0.31/0.55  (step @p17 :rule skolemize :premises (@p16))
% 0.31/0.55  (step @p18 :rule cnf_or_neg :args (@t16 1))
% 0.31/0.55  (step @p19 :rule chain_m_resolution :premises (@p18 @p17) :args ((not @t14) @t17 @t18))
% 0.31/0.55  (step @p20 :rule not_implies_elim1 :premises (@p15))
% 0.31/0.55  (step @p21 :rule and_elim :premises (@p20) :args (1))
% 0.31/0.55  (step @p22 :rule instantiate :premises (@p21) :args (@t19))
% 0.31/0.55  (step @p23 :rule and_elim :premises (@p20) :args (0))
% 0.31/0.55  (step @p24 :rule instantiate :premises (@p23) :args (@t19))
% 0.31/0.55  (step @p25 :rule cnf_or_neg :args (@t16 0))
% 0.31/0.55  (step @p26 :rule chain_m_resolution :premises (@p25 @p17) :args ((not @t15) @t17 @t18))
% 0.31/0.55  (step @p27 :rule cnf_or_pos :args (@t22))
% 0.31/0.55  (step @p28 :rule reordering :premises (@p27) :args ((or @t15 @t21 (not @t22))))
% 0.31/0.55  (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p24) :args (@t21 (@list true false) (@list @t15 @t22)))
% 0.31/0.55  (step @p30 :rule cnf_or_pos :args (@t23))
% 0.31/0.55  (step @p31 :rule reordering :premises (@p30) :args ((or @t14 @t20 (not @t23))))
% 0.31/0.55  (step @p32 false :rule chain_m_resolution :premises (@p31 @p29 @p22 @p19) :args (false (@list true false true) (@list @t20 @t23 @t14)))
% 0.31/0.55  )
% 0.31/0.55  % SZS output end Proof
% 0.31/0.55  % cvc5 exiting
%------------------------------------------------------------------------------