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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO195^5 : TPTP v9.2.1. Released v4.0.0.
% 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 09:12:12 AM UTC 2026

% Result   : Theorem 0.32s 0.55s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO195^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n002.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 : Wed Jun  3 00:00:33 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.32/0.49  %----Proving TH0
% 0.32/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.32/0.55  % SZS status Theorem
% 0.32/0.55  % SZS output start Proof
% 0.32/0.55  (
% 0.32/0.55  (define @t1 () (@var "Xy" Bool))
% 0.32/0.55  (define @t2 () (@var "Xx" Bool))
% 0.32/0.55  (define @t3 () (= @t2 @t1))
% 0.32/0.55  (define @t4 () (forall (@list @t2 @t1) @t3))
% 0.32/0.55  (define @t5 () (@list @t1))
% 0.32/0.55  (define @t6 () (not @t1))
% 0.32/0.55  (define @t7 () (= @t6 @t1))
% 0.32/0.55  (define @t8 () (@list @t2))
% 0.32/0.55  (define @t9 () (or @t3 @t3))
% 0.32/0.55  (define @t10 () (forall @t8 @t3))
% 0.32/0.55  (define @t11 () (forall @t5 @t10))
% 0.32/0.55  (define @t12 () (forall (@list @t1 @t2) @t3))
% 0.32/0.55  (assume @p1 (not (not @t4)))
% 0.32/0.55  (assume @p2 true)
% 0.32/0.55  (step @p3 :rule quant-unused-vars :args ((= (forall @t5 false) false)))
% 0.32/0.55  (step @p4 :rule bool-eq-nrefl :args (@t1))
% 0.32/0.55  (step @p5 :rule eq-symm :args (@t6 @t1))
% 0.32/0.55  (step @p6 :rule trans :premises (@p5 @p4))
% 0.32/0.55  (step @p7 :rule cong :premises (@p6) :args ((forall @t5 @t7)))
% 0.32/0.55  (step @p8 :rule trans :premises (@p7 @p3))
% 0.32/0.55  (step @p9 :rule quant-var-elim-eq :args ((= (forall @t8 (or (not (= @t2 @t6)) @t3)) @t7)))
% 0.32/0.55  (step @p10 :rule refl :args (@t3))
% 0.32/0.55  (step @p11 :rule bool-not-eq-elim2 :args (@t2 @t1))
% 0.32/0.55  (step @p12 :rule cong :premises (@p11) :args ((not (not @t3))))
% 0.32/0.55  (step @p13 :rule bool-double-not-elim :args (@t3))
% 0.32/0.55  (step @p14 :rule symm :premises (@p13))
% 0.32/0.55  (step @p15 :rule trans :premises (@p14 @p12))
% 0.32/0.55  (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t9))
% 0.32/0.55  (step @p17 :rule aci_norm :args ((= @t3 @t9)))
% 0.32/0.55  (step @p18 :rule trans :premises (@p17 @p16))
% 0.32/0.55  (step @p19 :rule cong :premises (@p18) :args (@t10))
% 0.32/0.55  (step @p20 :rule trans :premises (@p19 @p9))
% 0.32/0.55  (step @p21 :rule cong :premises (@p20) :args (@t11))
% 0.32/0.55  (step @p22 :rule quant-merge-prenex :args ((= @t11 @t12)))
% 0.32/0.55  (step @p23 :rule symm :premises (@p22))
% 0.32/0.55  (step @p24 :rule quant_var_reordering :args ((= @t4 @t12)))
% 0.32/0.55  (step @p25 :rule trans :premises (@p24 @p23 @p21))
% 0.32/0.55  (step @p26 :rule trans :premises (@p25 @p8))
% 0.32/0.55  (step @p27 :rule bool-double-not-elim :args (@t4))
% 0.32/0.55  (step @p28 :rule trans :premises (@p27 @p26))
% 0.32/0.55  (step @p29 false :rule eq_resolve :premises (@p1 @p28))
% 0.32/0.55  )
% 0.32/0.55  % SZS output end Proof
% 0.32/0.55  % cvc5 exiting
%------------------------------------------------------------------------------