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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN367+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 : n006.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 09:08:42 AM UTC 2026

% Result   : Theorem 0.26s 0.55s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN367+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
% 0.15/0.34  % Computer : n006.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 23:25:04 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.26/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.26/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.26/0.55  % SZS status Theorem
% 0.26/0.55  % SZS output start Proof
% 0.26/0.55  (
% 0.26/0.55  (declare-sort $$unsorted 0)
% 0.26/0.55  (declare-const tptp.p Bool)
% 0.26/0.55  (declare-const tptp.big_q (-> $$unsorted Bool))
% 0.26/0.55  (declare-const tptp.big_r (-> $$unsorted Bool))
% 0.26/0.55  (define @t1 () (@var "X" $$unsorted))
% 0.26/0.55  (define @t2 () (tptp.big_r @t1))
% 0.26/0.55  (define @t3 () (@list @t1))
% 0.26/0.55  (define @t4 () (forall @t3 @t2))
% 0.26/0.55  (define @t5 () (tptp.big_q @t1))
% 0.26/0.55  (define @t6 () (forall @t3 @t5))
% 0.26/0.55  (define @t7 () (not tptp.p))
% 0.26/0.55  (define @t8 () (@quantifiers_skolemize @t4 0))
% 0.26/0.55  (define @t9 () (tptp.big_r @t8))
% 0.26/0.55  (define @t10 () (and @t7 @t9))
% 0.26/0.55  (define @t11 () (not @t10))
% 0.26/0.55  (define @t12 () (@list true))
% 0.26/0.55  (define @t13 () (and tptp.p (tptp.big_q @t8)))
% 0.26/0.55  (define @t14 () (or @t13 @t10))
% 0.26/0.55  (define @t15 () (@list true false))
% 0.26/0.55  (define @t16 () (@quantifiers_skolemize @t6 0))
% 0.26/0.55  (define @t17 () (tptp.big_q @t16))
% 0.26/0.55  (define @t18 () (and tptp.p @t17))
% 0.26/0.55  (define @t19 () (not @t18))
% 0.26/0.55  (define @t20 () (and @t7 (tptp.big_r @t16)))
% 0.26/0.55  (define @t21 () (or @t18 @t20))
% 0.26/0.55  (assume @p1 (not (=> (forall @t3 (or (and tptp.p @t5) (and @t7 @t2))) (or @t6 @t4))))
% 0.26/0.55  (assume @p2 true)
% 0.26/0.55  (step @p3 :rule not_implies_elim1 :premises (@p1))
% 0.26/0.55  (step @p4 :rule instantiate :premises (@p3) :args ((@list @t8)))
% 0.26/0.55  (step @p5 :rule not_implies_elim2 :premises (@p1))
% 0.26/0.55  (step @p6 :rule not_or_elim :premises (@p5) :args (1))
% 0.26/0.55  (step @p7 :rule skolemize :premises (@p6))
% 0.26/0.55  (step @p8 :rule cnf_and_pos :args (@t10 1))
% 0.26/0.55  (step @p9 :rule reordering :premises (@p8) :args ((or @t9 @t11)))
% 0.26/0.55  (step @p10 :rule chain_m_resolution :premises (@p9 @p7) :args (@t11 @t12 (@list @t9)))
% 0.26/0.55  (step @p11 :rule cnf_or_pos :args (@t14))
% 0.26/0.55  (step @p12 :rule reordering :premises (@p11) :args ((or @t13 @t10 (not @t14))))
% 0.26/0.55  (step @p13 :rule chain_m_resolution :premises (@p12 @p10 @p4) :args (@t13 @t15 (@list @t10 @t14)))
% 0.26/0.55  (step @p14 :rule instantiate :premises (@p3) :args ((@list @t16)))
% 0.26/0.55  (step @p15 :rule not_or_elim :premises (@p5) :args (0))
% 0.26/0.55  (step @p16 :rule skolemize :premises (@p15))
% 0.26/0.55  (step @p17 :rule cnf_and_pos :args (@t18 1))
% 0.26/0.55  (step @p18 :rule reordering :premises (@p17) :args ((or @t17 @t19)))
% 0.26/0.55  (step @p19 :rule chain_m_resolution :premises (@p18 @p16) :args (@t19 @t12 (@list @t17)))
% 0.26/0.55  (step @p20 :rule cnf_or_pos :args (@t21))
% 0.26/0.55  (step @p21 :rule reordering :premises (@p20) :args ((or @t18 @t20 (not @t21))))
% 0.26/0.55  (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p14) :args (@t20 @t15 (@list @t18 @t21)))
% 0.26/0.55  (step @p23 :rule cnf_and_pos :args (@t20 0))
% 0.26/0.55  (step @p24 :rule reordering :premises (@p23) :args ((or @t7 (not @t20))))
% 0.26/0.55  (step @p25 :rule chain_m_resolution :premises (@p24 @p22) :args (@t7 (@list false) (@list @t20)))
% 0.26/0.55  (step @p26 :rule cnf_and_pos :args (@t13 0))
% 0.26/0.55  (step @p27 :rule reordering :premises (@p26) :args ((or tptp.p (not @t13))))
% 0.26/0.55  (step @p28 false :rule chain_m_resolution :premises (@p27 @p25 @p13) :args (false @t15 (@list tptp.p @t13)))
% 0.26/0.55  )
% 0.26/0.55  % SZS output end Proof
% 0.26/0.55  % cvc5 exiting
%------------------------------------------------------------------------------