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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN358^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 0.29s 0.55s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN358^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n008.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 23:25:03 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.29/0.49  %----Proving TH0
% 0.29/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.29/0.55  % SZS status Theorem
% 0.29/0.55  % SZS output start Proof
% 0.29/0.55  (
% 0.29/0.55  (declare-sort $$unsorted 0)
% 0.29/0.55  (declare-const tptp.p Bool)
% 0.29/0.55  (declare-const tptp.cQ (-> $$unsorted Bool))
% 0.29/0.55  (define @t1 () (@var "Xx" $$unsorted))
% 0.29/0.55  (define @t2 () (_ tptp.cQ @t1))
% 0.29/0.55  (define @t3 () (@list @t1))
% 0.29/0.55  (define @t4 () (exists @t3 @t2))
% 0.29/0.55  (define @t5 () (and tptp.p @t4))
% 0.29/0.55  (define @t6 () (and tptp.p @t2))
% 0.29/0.55  (define @t7 () (exists @t3 @t6))
% 0.29/0.55  (define @t8 () (= @t7 @t5))
% 0.29/0.55  (define @t9 () (not @t8))
% 0.29/0.55  (define @t10 () (tptp.cQ @t1))
% 0.29/0.55  (define @t11 () (forall @t3 (not @t10)))
% 0.29/0.55  (define @t12 () (not tptp.p))
% 0.29/0.55  (define @t13 () (or @t12 @t11))
% 0.29/0.55  (define @t14 () (not @t13))
% 0.29/0.55  (define @t15 () (not @t11))
% 0.29/0.55  (define @t16 () (and tptp.p @t15))
% 0.29/0.55  (define @t17 () (not @t16))
% 0.29/0.55  (define @t18 () (not @t2))
% 0.29/0.55  (define @t19 () (forall @t3 @t18))
% 0.29/0.55  (define @t20 () (not @t19))
% 0.29/0.55  (define @t21 () (or @t12 @t19))
% 0.29/0.55  (define @t22 () (forall @t3 (not @t6)))
% 0.29/0.55  (define @t23 () (not @t22))
% 0.29/0.55  (define @t24 () (@list @t16 @t13))
% 0.29/0.55  (define @t25 () (@list true false))
% 0.29/0.55  (define @t26 () (@list true))
% 0.29/0.55  (assume @p1 @t9)
% 0.29/0.55  (assume @p2 true)
% 0.29/0.55  (step @p3 :rule cnf_or_pos :args (@t13))
% 0.29/0.55  (step @p4 :rule reordering :premises (@p3) :args ((or @t12 @t11 @t14)))
% 0.29/0.55  (step @p5 :rule bool-double-not-elim :args (@t11))
% 0.29/0.55  (step @p6 :rule refl :args (@t12))
% 0.29/0.55  (step @p7 :rule refl :args (@t16))
% 0.29/0.55  (step @p8 :rule nary_cong :premises (@p7 @p6 @p5) :args ((or @t16 @t12 (not @t15))))
% 0.29/0.55  (step @p9 :rule cnf_and_neg :args (@t16))
% 0.29/0.55  (step @p10 :rule eq_resolve :premises (@p9 @p8))
% 0.29/0.55  (step @p11 :rule reordering :premises (@p10) :args ((or @t12 @t11 @t16)))
% 0.29/0.55  (step @p12 :rule refl :args (@t17))
% 0.29/0.55  (step @p13 :rule bool-double-not-elim :args (@t13))
% 0.29/0.55  (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t14) @t17)))
% 0.29/0.55  (step @p15 :rule refl :args (@t10))
% 0.29/0.55  (step @p16 :rule refl :args (@t2))
% 0.29/0.55  (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t2 @t10)))
% 0.29/0.55  (step @p18 :rule symm :premises (@p17))
% 0.29/0.55  (step @p19 :rule eq_resolve :premises (@p16 @p18))
% 0.29/0.55  (step @p20 :rule cong :premises (@p19) :args (@t18))
% 0.29/0.55  (step @p21 :rule cong :premises (@p20) :args (@t19))
% 0.29/0.55  (step @p22 :rule cong :premises (@p21) :args (@t20))
% 0.29/0.55  (step @p23 :rule exists-elim :args ((= @t4 @t20)))
% 0.29/0.55  (step @p24 :rule trans :premises (@p23 @p22))
% 0.29/0.55  (step @p25 :rule refl :args (tptp.p))
% 0.29/0.55  (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t5))
% 0.29/0.55  (step @p27 :rule nary_cong :premises (@p6 @p21) :args (@t21))
% 0.29/0.55  (step @p28 :rule quant-miniscope-or :args ((= (forall @t3 (or @t12 @t18)) @t21)))
% 0.29/0.55  (step @p29 :rule trans :premises (@p28 @p27))
% 0.29/0.55  (step @p30 :rule bool-and-de-morgan :args (tptp.p @t2 true))
% 0.29/0.55  (step @p31 :rule cong :premises (@p30) :args (@t22))
% 0.29/0.55  (step @p32 :rule trans :premises (@p31 @p29))
% 0.29/0.55  (step @p33 :rule cong :premises (@p32) :args (@t23))
% 0.29/0.55  (step @p34 :rule exists-elim :args ((= @t7 @t23)))
% 0.29/0.55  (step @p35 :rule trans :premises (@p34 @p33))
% 0.29/0.55  (step @p36 :rule cong :premises (@p35 @p26) :args (@t8))
% 0.29/0.55  (step @p37 :rule cong :premises (@p36) :args (@t9))
% 0.29/0.55  (step @p38 :rule eq_resolve :premises (@p1 @p37))
% 0.29/0.55  (step @p39 :rule not_equiv_elim2 :premises (@p38))
% 0.29/0.55  (step @p40 :rule eq_resolve :premises (@p39 @p14))
% 0.29/0.55  (step @p41 :rule chain_m_resolution :premises (@p40 @p11 @p4) :args (@t13 (@list false true) @t24))
% 0.29/0.55  (step @p42 :rule cnf_or_neg :args (@t13 1))
% 0.29/0.55  (step @p43 :rule cnf_and_pos :args (@t16 1))
% 0.29/0.55  (step @p44 :rule reordering :premises (@p43) :args ((or @t15 @t17)))
% 0.29/0.55  (step @p45 :rule not_equiv_elim1 :premises (@p38))
% 0.29/0.55  (step @p46 :rule chain_m_resolution :premises (@p45 @p44 @p42) :args (@t15 @t25 @t24))
% 0.29/0.55  (step @p47 :rule chain_m_resolution :premises (@p41 @p46) :args (@t12 @t26 (@list @t11)))
% 0.29/0.55  (step @p48 :rule cnf_and_pos :args (@t16 0))
% 0.29/0.55  (step @p49 :rule reordering :premises (@p48) :args ((or tptp.p @t17)))
% 0.29/0.55  (step @p50 :rule chain_m_resolution :premises (@p49 @p47) :args (@t17 @t26 (@list tptp.p)))
% 0.29/0.55  (step @p51 false :rule chain_m_resolution :premises (@p45 @p50 @p41) :args (false @t25 @t24))
% 0.29/0.55  )
% 0.29/0.55  % SZS output end Proof
% 0.29/0.55  % cvc5 exiting
%------------------------------------------------------------------------------