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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU693^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 08:52:46 AM UTC 2026

% Result   : Theorem 0.33s 0.53s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU693^2 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.12  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n001.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 17:47:50 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.33/0.48  %----Proving TH0
% 0.33/0.53  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.33/0.53  % SZS status Theorem
% 0.33/0.53  % SZS output start Proof
% 0.33/0.53  (
% 0.33/0.53  (declare-sort $$unsorted 0)
% 0.33/0.53  (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted))
% 0.33/0.53  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.33/0.53  (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.33/0.53  (define @t1 () (@var "Xx" $$unsorted))
% 0.33/0.53  (define @t2 () (@var "Xf" $$unsorted))
% 0.33/0.53  (define @t3 () (@var "B" $$unsorted))
% 0.33/0.53  (define @t4 () (@var "A" $$unsorted))
% 0.33/0.53  (define @t5 () (_ (_ (_ (_ tptp.ap @t4) @t3) @t2) @t1))
% 0.33/0.53  (define @t6 () (_ (_ tptp.in @t1) @t4))
% 0.33/0.53  (define @t7 () (=> @t6 (= @t5 @t5)))
% 0.33/0.53  (define @t8 () (@list @t1))
% 0.33/0.53  (define @t9 () (forall @t8 @t7))
% 0.33/0.53  (define @t10 () (_ (_ tptp.in @t2) (_ (_ tptp.funcSet @t4) @t3)))
% 0.33/0.53  (define @t11 () (=> @t10 @t9))
% 0.33/0.53  (define @t12 () (@list @t4 @t3 @t2))
% 0.33/0.53  (define @t13 () (forall @t12 @t11))
% 0.33/0.53  (define @t14 () (not @t13))
% 0.33/0.53  (assume @p1 @t14)
% 0.33/0.53  (assume @p2 true)
% 0.33/0.53  (step @p3 :rule evaluate :args ((not true)))
% 0.33/0.53  (step @p4 :rule quant-unused-vars :args ((= (forall @t12 true) true)))
% 0.33/0.53  (step @p5 :rule bool-impl-true1 :args (@t10))
% 0.33/0.53  (step @p6 :rule quant-unused-vars :args ((= (forall @t8 true) true)))
% 0.33/0.53  (step @p7 :rule bool-impl-true1 :args (@t6))
% 0.33/0.53  (step @p8 :rule eq-refl :args (@t5))
% 0.33/0.53  (step @p9 :rule refl :args (@t6))
% 0.33/0.53  (step @p10 :rule cong :premises (@p9 @p8) :args (@t7))
% 0.33/0.53  (step @p11 :rule trans :premises (@p10 @p7))
% 0.33/0.53  (step @p12 :rule cong :premises (@p11) :args (@t9))
% 0.33/0.53  (step @p13 :rule trans :premises (@p12 @p6))
% 0.33/0.53  (step @p14 :rule refl :args (@t10))
% 0.33/0.53  (step @p15 :rule cong :premises (@p14 @p13) :args (@t11))
% 0.33/0.53  (step @p16 :rule trans :premises (@p15 @p5))
% 0.33/0.53  (step @p17 :rule cong :premises (@p16) :args (@t13))
% 0.33/0.53  (step @p18 :rule trans :premises (@p17 @p4))
% 0.33/0.53  (step @p19 :rule cong :premises (@p18) :args (@t14))
% 0.33/0.53  (step @p20 :rule trans :premises (@p19 @p3))
% 0.33/0.53  (step @p21 false :rule eq_resolve :premises (@p1 @p20))
% 0.33/0.53  )
% 0.33/0.53  % SZS output end Proof
% 0.33/0.53  % cvc5 exiting
%------------------------------------------------------------------------------