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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN945+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 : n003.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 09:10:07 AM UTC 2026

% Result   : Theorem 0.27s 0.54s
% Output   : Proof 0.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN945+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
% 0.15/0.34  % Computer : n003.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Jun  2 23:49:29 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.27/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.27/0.54  % SZS status Theorem
% 0.27/0.54  % SZS output start Proof
% 0.27/0.54  (
% 0.27/0.54  (declare-sort $$unsorted 0)
% 0.27/0.54  (declare-const tptp.p (-> $$unsorted Bool))
% 0.27/0.54  (define @t1 () (@var "B" $$unsorted))
% 0.27/0.54  (define @t2 () (tptp.p @t1))
% 0.27/0.54  (define @t3 () (@var "A" $$unsorted))
% 0.27/0.54  (define @t4 () (tptp.p @t3))
% 0.27/0.54  (define @t5 () (@list @t3 @t1))
% 0.27/0.54  (define @t6 () (forall @t5 (and @t4 @t2)))
% 0.27/0.54  (define @t7 () (@var "X" $$unsorted))
% 0.27/0.54  (define @t8 () (forall (@list @t7) (tptp.p @t7)))
% 0.27/0.54  (define @t9 () (=> @t8 @t6))
% 0.27/0.54  (define @t10 () (not @t9))
% 0.27/0.54  (define @t11 () (@var "BOUND_VARIABLE_7431" $$unsorted))
% 0.27/0.54  (define @t12 () (tptp.p @t11))
% 0.27/0.54  (define @t13 () (forall (@list @t11) @t12))
% 0.27/0.54  (define @t14 () (@var "BOUND_VARIABLE_7429" $$unsorted))
% 0.27/0.54  (define @t15 () (forall (@list @t14 @t11) @t12))
% 0.27/0.54  (define @t16 () (@var "BOUND_VARIABLE_7422" $$unsorted))
% 0.27/0.54  (define @t17 () (tptp.p @t16))
% 0.27/0.54  (define @t18 () (forall (@list @t16) @t17))
% 0.27/0.54  (define @t19 () (@var "BOUND_VARIABLE_7424" $$unsorted))
% 0.27/0.54  (define @t20 () (forall (@list @t16 @t19) @t17))
% 0.27/0.54  (define @t21 () (forall @t5 @t2))
% 0.27/0.54  (define @t22 () (@list @t3 @t1))
% 0.27/0.54  (define @t23 () (forall @t5 @t4))
% 0.27/0.54  (define @t24 () (and @t23 @t21))
% 0.27/0.54  (define @t25 () (@list @t7))
% 0.27/0.54  (define @t26 () (not @t8))
% 0.27/0.54  (define @t27 () (@list false))
% 0.27/0.54  (define @t28 () (@list @t8))
% 0.27/0.54  (assume @p1 @t10)
% 0.27/0.54  (assume @p2 true)
% 0.27/0.54  (step @p3 :rule quant-unused-vars :args ((= @t15 @t13)))
% 0.27/0.54  (step @p4 :rule quant-unused-vars :args ((= @t20 @t18)))
% 0.27/0.54  (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((and @t20 @t15)))
% 0.27/0.54  (step @p6 :rule alpha_equiv :args (@t21 @t22 (@list @t14 @t11)))
% 0.27/0.54  (step @p7 :rule alpha_equiv :args (@t23 @t22 (@list @t16 @t19)))
% 0.27/0.54  (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t24))
% 0.27/0.54  (step @p9 :rule quant-miniscope-and :args ((= @t6 @t24)))
% 0.27/0.54  (step @p10 :rule trans :premises (@p9 @p8))
% 0.27/0.54  (step @p11 :rule trans :premises (@p10 @p5))
% 0.27/0.54  (step @p12 :rule refl :args (@t8))
% 0.27/0.54  (step @p13 :rule cong :premises (@p12 @p11) :args (@t9))
% 0.27/0.54  (step @p14 :rule cong :premises (@p13) :args (@t10))
% 0.27/0.54  (step @p15 :rule eq_resolve :premises (@p1 @p14))
% 0.27/0.55  (step @p16 :rule not_implies_elim1 :premises (@p15))
% 0.27/0.55  (step @p17 :rule alpha_equiv :args (@t8 @t25 (@list @t16)))
% 0.27/0.55  (step @p18 :rule equiv_elim1 :premises (@p17))
% 0.27/0.55  (step @p19 :rule reordering :premises (@p18) :args ((or @t18 @t26)))
% 0.27/0.55  (step @p20 :rule chain_m_resolution :premises (@p19 @p16) :args (@t18 @t27 @t28))
% 0.27/0.55  (step @p21 :rule alpha_equiv :args (@t8 @t25 (@list @t11)))
% 0.27/0.55  (step @p22 :rule equiv_elim1 :premises (@p21))
% 0.27/0.55  (step @p23 :rule reordering :premises (@p22) :args ((or @t13 @t26)))
% 0.27/0.55  (step @p24 :rule chain_m_resolution :premises (@p23 @p16) :args (@t13 @t27 @t28))
% 0.27/0.55  (step @p25 :rule not_implies_elim2 :premises (@p15))
% 0.27/0.55  (step @p26 :rule not_and :premises (@p25))
% 0.27/0.55  (step @p27 false :rule chain_m_resolution :premises (@p26 @p24 @p20) :args (false (@list false false) (@list @t13 @t18)))
% 0.27/0.55  )
% 0.27/0.55  % SZS output end Proof
% 0.27/0.55  % cvc5 exiting
%------------------------------------------------------------------------------