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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN385+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 : n013.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 09:08:45 AM UTC 2026

% Result   : Theorem 0.29s 0.55s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN385+1 : TPTP v9.2.1. Released v2.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n013.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 23:25:30 EDT 2026
% 0.16/0.34  % 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 $$unsorted 0)
% 0.29/0.55  (declare-const tptp.big_q (-> $$unsorted Bool))
% 0.29/0.55  (declare-const tptp.big_p (-> $$unsorted Bool))
% 0.29/0.55  (define @t1 () (@var "Y" $$unsorted))
% 0.29/0.55  (define @t2 () (tptp.big_p @t1))
% 0.29/0.55  (define @t3 () (@var "X" $$unsorted))
% 0.29/0.55  (define @t4 () (tptp.big_q @t3))
% 0.29/0.55  (define @t5 () (or @t4 @t2))
% 0.29/0.55  (define @t6 () (tptp.big_p @t3))
% 0.29/0.55  (define @t7 () (@list @t1))
% 0.29/0.55  (define @t8 () (forall @t7 (=> @t6 @t5)))
% 0.29/0.55  (define @t9 () (@list @t3))
% 0.29/0.55  (define @t10 () (exists @t9 @t8))
% 0.29/0.55  (define @t11 () (not @t10))
% 0.29/0.55  (define @t12 () (forall @t7 @t2))
% 0.29/0.55  (define @t13 () (not @t12))
% 0.29/0.55  (define @t14 () (@var "BOUND_VARIABLE_7440" $$unsorted))
% 0.29/0.55  (define @t15 () (@var "BOUND_VARIABLE_7435" $$unsorted))
% 0.29/0.55  (define @t16 () (forall (@list @t15) (tptp.big_p @t15)))
% 0.29/0.55  (define @t17 () (forall @t9 @t13))
% 0.29/0.55  (define @t18 () (not @t4))
% 0.29/0.55  (define @t19 () (forall @t9 @t18))
% 0.29/0.55  (define @t20 () (@list @t3))
% 0.29/0.55  (define @t21 () (forall @t9 @t6))
% 0.29/0.55  (define @t22 () (@list @t15))
% 0.29/0.55  (define @t23 () (and @t21 @t19 @t17))
% 0.29/0.55  (define @t24 () (not @t6))
% 0.29/0.55  (define @t25 () (not @t24))
% 0.29/0.55  (define @t26 () (and @t25 @t18 @t13))
% 0.29/0.55  (define @t27 () (or @t24 @t4 @t12))
% 0.29/0.55  (define @t28 () (forall @t9 (not @t27)))
% 0.29/0.55  (define @t29 () (not @t28))
% 0.29/0.55  (define @t30 () (or @t24 @t4 @t2))
% 0.29/0.55  (define @t31 () (@list false))
% 0.29/0.55  (assume @p1 @t11)
% 0.29/0.55  (assume @p2 true)
% 0.29/0.55  (step @p3 :rule bool-double-not-elim :args ((and @t16 (forall (@list @t14) (not (tptp.big_q @t14))) @t13)))
% 0.29/0.55  (step @p4 :rule quant-unused-vars :args ((= @t17 @t13)))
% 0.29/0.55  (step @p5 :rule alpha_equiv :args (@t19 @t20 (@list @t14)))
% 0.29/0.55  (step @p6 :rule alpha_equiv :args (@t21 @t20 @t22))
% 0.29/0.55  (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t23))
% 0.29/0.55  (step @p8 :rule quant-miniscope-and :args ((= (forall @t9 (and @t6 @t18 @t13)) @t23)))
% 0.29/0.55  (step @p9 :rule trans :premises (@p8 @p7))
% 0.29/0.55  (step @p10 :rule refl :args (@t13))
% 0.29/0.55  (step @p11 :rule refl :args (@t18))
% 0.29/0.55  (step @p12 :rule bool-double-not-elim :args (@t6))
% 0.29/0.55  (step @p13 :rule nary_cong :premises (@p12 @p11 @p10) :args (@t26))
% 0.35/0.55  (step @p14 :rule aci_norm :args ((= (and @t25 (and @t18 @t13)) @t26)))
% 0.35/0.55  (step @p15 :rule trans :premises (@p14 @p13))
% 0.35/0.55  (step @p16 :rule bool-or-de-morgan :args (@t4 @t12 false))
% 0.35/0.55  (step @p17 :rule refl :args (@t25))
% 0.35/0.55  (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((and @t25 (not (or @t4 @t12)))))
% 0.35/0.55  (step @p19 :rule bool-or-de-morgan :args (@t24 @t4 (or @t12)))
% 0.35/0.55  (step @p20 :rule trans :premises (@p19 @p18))
% 0.35/0.55  (step @p21 :rule trans :premises (@p20 @p15))
% 0.35/0.55  (step @p22 :rule cong :premises (@p21) :args (@t28))
% 0.35/0.55  (step @p23 :rule trans :premises (@p22 @p9))
% 0.35/0.55  (step @p24 :rule cong :premises (@p23) :args (@t29))
% 0.35/0.55  (step @p25 :rule exists-elim :args ((= (exists @t9 @t27) @t29)))
% 0.35/0.55  (step @p26 :rule trans :premises (@p25 @p24))
% 0.35/0.55  (step @p27 :rule quant-miniscope-or :args ((= (forall @t7 @t30) @t27)))
% 0.35/0.55  (step @p28 :rule aci_norm :args ((= (or @t24 @t5) @t30)))
% 0.35/0.55  (step @p29 :rule bool-impl-elim :args (@t6 @t5))
% 0.35/0.55  (step @p30 :rule trans :premises (@p29 @p28))
% 0.35/0.55  (step @p31 :rule cong :premises (@p30) :args (@t8))
% 0.35/0.55  (step @p32 :rule trans :premises (@p31 @p27))
% 0.35/0.55  (step @p33 :rule cong :premises (@p32) :args (@t10))
% 0.35/0.55  (step @p34 :rule trans :premises (@p33 @p26))
% 0.35/0.55  (step @p35 :rule cong :premises (@p34) :args (@t11))
% 0.35/0.55  (step @p36 :rule trans :premises (@p35 @p3))
% 0.35/0.55  (step @p37 :rule eq_resolve :premises (@p1 @p36))
% 0.35/0.55  (step @p38 :rule and_elim :premises (@p37) :args (0))
% 0.35/0.55  (step @p39 :rule alpha_equiv :args (@t16 @t22 (@list @t1)))
% 0.35/0.55  (step @p40 :rule symm :premises (@p39))
% 0.35/0.55  (step @p41 :rule equiv_elim2 :premises (@p40))
% 0.35/0.55  (step @p42 :rule chain_m_resolution :premises (@p41 @p38) :args (@t12 @t31 (@list @t16)))
% 0.35/0.55  (step @p43 :rule and_elim :premises (@p37) :args (2))
% 0.35/0.55  (step @p44 false :rule chain_m_resolution :premises (@p43 @p42) :args (false @t31 (@list @t12)))
% 0.35/0.55  )
% 0.35/0.55  % SZS output end Proof
% 0.35/0.55  % cvc5 exiting
%------------------------------------------------------------------------------