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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN081+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 09:08:02 AM UTC 2026

% Result   : Theorem 0.32s 0.57s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN081+1 : TPTP v9.2.1. Released v2.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n002.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 23:20:33 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.32/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.32/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.32/0.57  % SZS status Theorem
% 0.32/0.57  % SZS output start Proof
% 0.32/0.57  (
% 0.32/0.57  (declare-sort $$unsorted 0)
% 0.32/0.57  (declare-const tptp.big_f (-> $$unsorted Bool))
% 0.32/0.57  (declare-const tptp.f (-> $$unsorted $$unsorted))
% 0.32/0.57  (define @t1 () (@var "X" $$unsorted))
% 0.32/0.57  (define @t2 () (tptp.big_f (tptp.f @t1)))
% 0.32/0.57  (define @t3 () (not @t2))
% 0.32/0.57  (define @t4 () (tptp.big_f @t1))
% 0.32/0.57  (define @t5 () (@list @t1))
% 0.32/0.57  (define @t6 () (and @t4 @t3))
% 0.32/0.57  (define @t7 () (exists @t5 @t6))
% 0.32/0.57  (define @t8 () (not @t7))
% 0.32/0.57  (define @t9 () (not @t4))
% 0.32/0.57  (define @t10 () (forall @t5 (not @t6)))
% 0.32/0.57  (define @t11 () (not @t10))
% 0.32/0.57  (define @t12 () (@const 0 $$unsorted))
% 0.32/0.57  (define @t13 () (@list @t12))
% 0.32/0.57  (define @t14 () (tptp.f @t12))
% 0.32/0.57  (define @t15 () (@list @t14))
% 0.32/0.57  (define @t16 () (tptp.big_f (tptp.f @t14)))
% 0.32/0.57  (define @t17 () (tptp.big_f @t14))
% 0.32/0.57  (define @t18 () (not @t16))
% 0.32/0.57  (define @t19 () (= @t17 @t18))
% 0.32/0.57  (define @t20 () (not @t19))
% 0.32/0.57  (define @t21 () (not @t17))
% 0.32/0.57  (define @t22 () (or @t21 @t16))
% 0.32/0.57  (define @t23 () (tptp.big_f @t12))
% 0.32/0.57  (define @t24 () (= @t23 @t21))
% 0.32/0.57  (define @t25 () (not @t24))
% 0.32/0.57  (define @t26 () (not @t23))
% 0.32/0.57  (define @t27 () (or @t26 @t17))
% 0.32/0.57  (assume @p1 (forall @t5 (= @t4 @t3)))
% 0.32/0.57  (assume @p2 @t8)
% 0.32/0.57  (assume @p3 true)
% 0.32/0.57  (step @p4 :rule bool-double-not-elim :args ((forall @t5 (or @t9 @t2))))
% 0.32/0.57  (step @p5 :rule bool-double-not-elim :args (@t2))
% 0.32/0.57  (step @p6 :rule refl :args (@t9))
% 0.32/0.57  (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or @t9 (not @t3))))
% 0.32/0.57  (step @p8 :rule bool-and-de-morgan :args (@t4 @t3 true))
% 0.32/0.57  (step @p9 :rule trans :premises (@p8 @p7))
% 0.32/0.57  (step @p10 :rule cong :premises (@p9) :args (@t10))
% 0.32/0.57  (step @p11 :rule cong :premises (@p10) :args (@t11))
% 0.32/0.57  (step @p12 :rule exists-elim :args ((= @t7 @t11)))
% 0.32/0.57  (step @p13 :rule trans :premises (@p12 @p11))
% 0.32/0.57  (step @p14 :rule cong :premises (@p13) :args (@t8))
% 0.32/0.57  (step @p15 :rule trans :premises (@p14 @p4))
% 0.32/0.57  (step @p16 :rule eq_resolve :premises (@p2 @p15))
% 0.32/0.57  (step @p17 :rule instantiate :premises (@p16) :args (@t13))
% 0.32/0.57  (step @p18 :rule instantiate :premises (@p1) :args (@t15))
% 0.32/0.57  (step @p19 :rule bool-double-not-elim :args (@t16))
% 0.32/0.57  (step @p20 :rule refl :args (@t17))
% 0.32/0.57  (step @p21 :rule refl :args (@t20))
% 0.32/0.57  (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args ((or @t20 @t17 (not @t18))))
% 0.32/0.57  (step @p23 :rule cnf_equiv_pos2 :args (@t19))
% 0.32/0.57  (step @p24 :rule eq_resolve :premises (@p23 @p22))
% 0.32/0.57  (step @p25 :rule reordering :premises (@p24) :args ((or @t17 @t16 @t20)))
% 0.32/0.57  (step @p26 :rule instantiate :premises (@p16) :args (@t15))
% 0.32/0.57  (step @p27 :rule cnf_or_pos :args (@t22))
% 0.32/0.57  (step @p28 :rule reordering :premises (@p27) :args ((or @t21 @t16 (not @t22))))
% 0.32/0.57  (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25 @p18) :args (@t16 (@list false false false) (@list @t22 @t17 @t19)))
% 0.32/0.57  (step @p30 :rule cnf_equiv_pos1 :args (@t19))
% 0.32/0.57  (step @p31 :rule reordering :premises (@p30) :args ((or @t21 @t18 @t20)))
% 0.32/0.57  (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p18) :args (@t21 (@list false false) (@list @t16 @t19)))
% 0.32/0.57  (step @p33 :rule instantiate :premises (@p1) :args (@t13))
% 0.32/0.57  (step @p34 :rule bool-double-not-elim :args (@t17))
% 0.32/0.57  (step @p35 :rule refl :args (@t23))
% 0.32/0.57  (step @p36 :rule refl :args (@t25))
% 0.32/0.57  (step @p37 :rule nary_cong :premises (@p36 @p35 @p34) :args ((or @t25 @t23 (not @t21))))
% 0.32/0.57  (step @p38 :rule cnf_equiv_pos2 :args (@t24))
% 0.32/0.57  (step @p39 :rule eq_resolve :premises (@p38 @p37))
% 0.32/0.57  (step @p40 :rule reordering :premises (@p39) :args ((or @t23 @t17 @t25)))
% 0.32/0.57  (step @p41 :rule chain_m_resolution :premises (@p40 @p32 @p33) :args (@t23 (@list true false) (@list @t17 @t24)))
% 0.32/0.57  (step @p42 :rule cnf_or_pos :args (@t27))
% 0.32/0.57  (step @p43 :rule reordering :premises (@p42) :args ((or @t17 @t26 (not @t27))))
% 0.32/0.57  (step @p44 false :rule chain_m_resolution :premises (@p43 @p41 @p32 @p17) :args (false (@list false true false) (@list @t23 @t17 @t27)))
% 0.32/0.57  )
% 0.32/0.57  % SZS output end Proof
% 0.32/0.57  % cvc5 exiting
%------------------------------------------------------------------------------