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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN934+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 0.36s 0.55s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN934+1 : TPTP v9.2.1. Released v3.1.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n004.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 23:49:23 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.26/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.36/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.36/0.55  % SZS status Theorem
% 0.36/0.55  % SZS output start Proof
% 0.36/0.55  (
% 0.36/0.55  (declare-sort $$unsorted 0)
% 0.36/0.55  (declare-const tptp.c Bool)
% 0.36/0.55  (declare-const tptp.p (-> $$unsorted Bool))
% 0.36/0.55  (define @t1 () (@var "X" $$unsorted))
% 0.36/0.55  (define @t2 () (tptp.p @t1))
% 0.36/0.55  (define @t3 () (@list @t1))
% 0.36/0.55  (define @t4 () (exists @t3 @t2))
% 0.36/0.55  (define @t5 () (=> tptp.c @t4))
% 0.36/0.55  (define @t6 () (=> tptp.c @t2))
% 0.36/0.55  (define @t7 () (exists @t3 @t6))
% 0.36/0.55  (define @t8 () (= @t7 @t5))
% 0.36/0.55  (define @t9 () (not @t8))
% 0.36/0.55  (define @t10 () (@var "BOUND_VARIABLE_7425" $$unsorted))
% 0.36/0.55  (define @t11 () (forall (@list @t10) (not (tptp.p @t10))))
% 0.36/0.55  (define @t12 () (and tptp.c @t11))
% 0.36/0.55  (define @t13 () (not @t12))
% 0.36/0.55  (define @t14 () (not @t2))
% 0.36/0.55  (define @t15 () (forall @t3 @t14))
% 0.36/0.55  (define @t16 () (not @t15))
% 0.36/0.55  (define @t17 () (=> tptp.c @t16))
% 0.36/0.55  (define @t18 () (not @t17))
% 0.36/0.55  (define @t19 () (@list @t1))
% 0.36/0.55  (define @t20 () (@list @t10))
% 0.36/0.55  (define @t21 () (forall @t3 tptp.c))
% 0.36/0.55  (define @t22 () (and @t21 @t15))
% 0.36/0.55  (define @t23 () (forall @t3 (not @t6)))
% 0.36/0.55  (define @t24 () (not @t23))
% 0.36/0.55  (define @t25 () (@list true))
% 0.36/0.55  (define @t26 () (@list @t17))
% 0.36/0.55  (assume @p1 @t9)
% 0.36/0.55  (assume @p2 true)
% 0.36/0.55  (step @p3 :rule cnf_and_pos :args (@t12 0))
% 0.36/0.55  (step @p4 :rule reordering :premises (@p3) :args ((or tptp.c @t13)))
% 0.36/0.55  (step @p5 :rule cnf_implies_neg1 :args (@t17))
% 0.36/0.55  (step @p6 :rule reordering :premises (@p5) :args ((or tptp.c @t17)))
% 0.36/0.55  (step @p7 :rule refl :args (@t18))
% 0.36/0.55  (step @p8 :rule bool-double-not-elim :args (@t12))
% 0.36/0.55  (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or (not @t13) @t18)))
% 0.36/0.55  (step @p10 :rule exists-elim :args ((= @t4 @t16)))
% 0.36/0.55  (step @p11 :rule refl :args (tptp.c))
% 0.36/0.55  (step @p12 :rule cong :premises (@p11 @p10) :args (@t5))
% 0.36/0.55  (step @p13 :rule alpha_equiv :args (@t15 @t19 @t20))
% 0.36/0.55  (step @p14 :rule quant-unused-vars :args ((= @t21 tptp.c)))
% 0.36/0.55  (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t22))
% 0.36/0.55  (step @p16 :rule quant-miniscope-and :args ((= (forall @t3 (and tptp.c @t14)) @t22)))
% 0.36/0.55  (step @p17 :rule trans :premises (@p16 @p15))
% 0.36/0.55  (step @p18 :rule bool-implies-de-morgan :args (tptp.c @t2))
% 0.36/0.55  (step @p19 :rule cong :premises (@p18) :args (@t23))
% 0.36/0.55  (step @p20 :rule trans :premises (@p19 @p17))
% 0.36/0.55  (step @p21 :rule cong :premises (@p20) :args (@t24))
% 0.36/0.55  (step @p22 :rule exists-elim :args ((= @t7 @t24)))
% 0.36/0.55  (step @p23 :rule trans :premises (@p22 @p21))
% 0.36/0.55  (step @p24 :rule cong :premises (@p23 @p12) :args (@t8))
% 0.36/0.55  (step @p25 :rule cong :premises (@p24) :args (@t9))
% 0.36/0.55  (step @p26 :rule eq_resolve :premises (@p1 @p25))
% 0.36/0.55  (step @p27 :rule not_equiv_elim2 :premises (@p26))
% 0.36/0.55  (step @p28 :rule eq_resolve :premises (@p27 @p9))
% 0.36/0.55  (step @p29 :rule chain_m_resolution :premises (@p28 @p6 @p4) :args (tptp.c (@list false true) (@list @t17 @t12)))
% 0.36/0.55  (step @p30 :rule cnf_implies_pos :args (@t17))
% 0.36/0.55  (step @p31 :rule reordering :premises (@p30) :args ((or @t16 (not tptp.c) @t18)))
% 0.36/0.55  (step @p32 :rule cnf_and_pos :args (@t12 1))
% 0.36/0.55  (step @p33 :rule reordering :premises (@p32) :args ((or @t11 @t13)))
% 0.36/0.55  (step @p34 :rule alpha_equiv :args (@t11 @t20 @t19))
% 0.36/0.55  (step @p35 :rule equiv_elim1 :premises (@p34))
% 0.36/0.55  (step @p36 :rule reordering :premises (@p35) :args ((or @t15 (not @t11))))
% 0.36/0.55  (step @p37 :rule chain_m_resolution :premises (@p36 @p33 @p31 @p29 @p28) :args (@t18 (@list false true false false) (@list @t11 @t15 tptp.c @t12)))
% 0.36/0.55  (step @p38 :rule not_equiv_elim1 :premises (@p26))
% 0.36/0.55  (step @p39 :rule chain_m_resolution :premises (@p38 @p37) :args (@t13 @t25 @t26))
% 0.36/0.55  (step @p40 :rule bool-double-not-elim :args (@t15))
% 0.36/0.55  (step @p41 :rule refl :args (@t17))
% 0.36/0.55  (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t17 (not @t16))))
% 0.36/0.55  (step @p43 :rule cnf_implies_neg2 :args (@t17))
% 0.36/0.55  (step @p44 :rule eq_resolve :premises (@p43 @p42))
% 0.36/0.55  (step @p45 :rule reordering :premises (@p44) :args ((or @t15 @t17)))
% 0.36/0.55  (step @p46 :rule chain_m_resolution :premises (@p45 @p37) :args (@t15 @t25 @t26))
% 0.36/0.55  (step @p47 :rule equiv_elim2 :premises (@p34))
% 0.36/0.55  (step @p48 :rule chain_m_resolution :premises (@p47 @p46) :args (@t11 (@list false) (@list @t15)))
% 0.36/0.55  (step @p49 :rule cnf_and_neg :args (@t12))
% 0.36/0.55  (step @p50 false :rule chain_m_resolution :premises (@p49 @p48 @p39 @p29) :args (false (@list false true false) (@list @t11 @t12 tptp.c)))
% 0.36/0.56  )
% 0.36/0.56  % SZS output end Proof
% 0.36/0.56  % cvc5 exiting
%------------------------------------------------------------------------------