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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN922+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 : 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 09:10:04 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  : SYN922+1 : TPTP v9.2.1. Released v3.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n002.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 23:48:48 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 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 $$unsorted 0)
% 0.29/0.55  (declare-const tptp.p (-> $$unsorted Bool))
% 0.29/0.55  (declare-const tptp.q (-> $$unsorted Bool))
% 0.29/0.55  (define @t1 () (@var "X" $$unsorted))
% 0.29/0.55  (define @t2 () (tptp.q @t1))
% 0.29/0.55  (define @t3 () (@list @t1))
% 0.29/0.55  (define @t4 () (forall @t3 @t2))
% 0.29/0.55  (define @t5 () (tptp.p @t1))
% 0.29/0.55  (define @t6 () (forall @t3 @t5))
% 0.29/0.55  (define @t7 () (and @t6 @t4))
% 0.29/0.55  (define @t8 () (= (forall @t3 (and @t5 @t2)) @t7))
% 0.29/0.55  (define @t9 () (not @t8))
% 0.29/0.55  (define @t10 () (not @t7))
% 0.29/0.55  (define @t11 () (@list @t1))
% 0.29/0.55  (define @t12 () (@var "BOUND_VARIABLE_7421" $$unsorted))
% 0.29/0.55  (define @t13 () (@list @t12))
% 0.29/0.55  (define @t14 () (@var "BOUND_VARIABLE_7426" $$unsorted))
% 0.29/0.55  (define @t15 () (forall (@list @t14) (tptp.q @t14)))
% 0.29/0.55  (define @t16 () (forall (@list @t12) (tptp.p @t12)))
% 0.29/0.55  (define @t17 () (and @t16 @t15))
% 0.29/0.55  (define @t18 () (@list @t14))
% 0.29/0.55  (define @t19 () (not @t17))
% 0.29/0.55  (define @t20 () (@list false))
% 0.29/0.55  (assume @p1 @t9)
% 0.29/0.55  (assume @p2 true)
% 0.29/0.55  (step @p3 :rule cnf_and_pos :args (@t7 0))
% 0.29/0.55  (step @p4 :rule reordering :premises (@p3) :args ((or @t6 @t10)))
% 0.29/0.55  (step @p5 :rule alpha_equiv :args (@t6 @t11 @t13))
% 0.29/0.55  (step @p6 :rule equiv_elim2 :premises (@p5))
% 0.29/0.55  (step @p7 :rule eq-symm :args (@t17 @t7))
% 0.29/0.55  (step @p8 :rule refl :args (@t7))
% 0.29/0.55  (step @p9 :rule alpha_equiv :args (@t4 @t11 @t18))
% 0.29/0.55  (step @p10 :rule alpha_equiv :args (@t6 @t11 @t13))
% 0.29/0.55  (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t7))
% 0.29/0.55  (step @p12 :rule quant-miniscope-and :args (@t8))
% 0.29/0.55  (step @p13 :rule trans :premises (@p12 @p11))
% 0.29/0.55  (step @p14 :rule cong :premises (@p13 @p8) :args (@t8))
% 0.29/0.55  (step @p15 :rule trans :premises (@p14 @p7))
% 0.29/0.55  (step @p16 :rule cong :premises (@p15) :args (@t9))
% 0.29/0.55  (step @p17 :rule eq_resolve :premises (@p1 @p16))
% 0.29/0.55  (step @p18 :rule not_equiv_elim1 :premises (@p17))
% 0.29/0.55  (step @p19 :rule cnf_and_pos :args (@t17 0))
% 0.29/0.55  (step @p20 :rule reordering :premises (@p19) :args ((or @t16 @t19)))
% 0.29/0.55  (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p6 @p4) :args (@t6 (@list false true true) (@list @t17 @t16 @t7)))
% 0.29/0.55  (step @p22 :rule equiv_elim1 :premises (@p5))
% 0.29/0.55  (step @p23 :rule reordering :premises (@p22) :args ((or @t16 (not @t6))))
% 0.29/0.55  (step @p24 :rule chain_m_resolution :premises (@p23 @p21) :args (@t16 @t20 (@list @t6)))
% 0.29/0.55  (step @p25 :rule cnf_and_pos :args (@t17 1))
% 0.29/0.55  (step @p26 :rule reordering :premises (@p25) :args ((or @t15 @t19)))
% 0.29/0.55  (step @p27 :rule not_equiv_elim2 :premises (@p17))
% 0.29/0.55  (step @p28 :rule alpha_equiv :args (@t4 @t11 @t18))
% 0.29/0.55  (step @p29 :rule equiv_elim2 :premises (@p28))
% 0.29/0.55  (step @p30 :rule cnf_and_neg :args (@t7))
% 0.29/0.55  (step @p31 :rule chain_m_resolution :premises (@p30 @p21 @p29 @p27 @p26) :args (@t19 (@list false false true false) (@list @t6 @t4 @t7 @t15)))
% 0.29/0.55  (step @p32 :rule cnf_and_neg :args (@t17))
% 0.29/0.55  (step @p33 :rule chain_m_resolution :premises (@p32 @p31 @p24) :args ((not @t15) (@list true false) (@list @t17 @t16)))
% 0.29/0.55  (step @p34 :rule chain_m_resolution :premises (@p18 @p31) :args (@t7 (@list true) (@list @t17)))
% 0.29/0.55  (step @p35 :rule cnf_and_pos :args (@t7 1))
% 0.29/0.55  (step @p36 :rule reordering :premises (@p35) :args ((or @t4 @t10)))
% 0.29/0.55  (step @p37 :rule chain_m_resolution :premises (@p36 @p34) :args (@t4 @t20 (@list @t7)))
% 0.29/0.55  (step @p38 :rule equiv_elim1 :premises (@p28))
% 0.29/0.55  (step @p39 :rule reordering :premises (@p38) :args ((or @t15 (not @t4))))
% 0.29/0.55  (step @p40 false :rule chain_m_resolution :premises (@p39 @p37 @p33) :args (false (@list false true) (@list @t4 @t15)))
% 0.29/0.55  )
% 0.29/0.55  % SZS output end Proof
% 0.29/0.55  % cvc5 exiting
%------------------------------------------------------------------------------