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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO231^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n027.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 09:12:16 AM UTC 2026

% Result   : Theorem 0.33s 0.55s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO231^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n027.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Wed Jun  3 00:01:21 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TH0
% 0.33/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.33/0.55  % SZS status Theorem
% 0.33/0.55  % SZS output start Proof
% 0.33/0.55  (
% 0.33/0.55  (declare-sort $$unsorted 0)
% 0.33/0.55  (declare-const tptp.cA (-> $$unsorted Bool))
% 0.33/0.55  (declare-const tptp.cB (-> $$unsorted Bool))
% 0.33/0.55  (define @t1 () (@var "Xx" $$unsorted))
% 0.33/0.55  (define @t2 () (_ tptp.cB @t1))
% 0.33/0.55  (define @t3 () (_ tptp.cA @t1))
% 0.33/0.55  (define @t4 () (not @t3))
% 0.33/0.55  (define @t5 () (and @t4 @t2))
% 0.33/0.55  (define @t6 () (@list @t1))
% 0.33/0.55  (define @t7 () (lambda @t6 @t5))
% 0.33/0.55  (define @t8 () (@var "Xu" (-> $$unsorted Bool)))
% 0.33/0.55  (define @t9 () (= @t8 @t7))
% 0.33/0.55  (define @t10 () (@list @t8))
% 0.33/0.55  (define @t11 () (exists @t10 @t9))
% 0.33/0.55  (define @t12 () (not @t11))
% 0.33/0.55  (define @t13 () (tptp.cB @t1))
% 0.33/0.55  (define @t14 () (tptp.cA @t1))
% 0.33/0.55  (define @t15 () (lambda @t6 (and (not @t14) @t13)))
% 0.33/0.55  (define @t16 () (not (= @t15 @t15)))
% 0.33/0.55  (define @t17 () (not (= @t8 @t15)))
% 0.33/0.55  (define @t18 () (or @t17 @t17))
% 0.33/0.55  (define @t19 () (not @t9))
% 0.33/0.55  (define @t20 () (forall @t10 @t19))
% 0.33/0.55  (define @t21 () (not @t20))
% 0.33/0.55  (assume @p1 @t12)
% 0.33/0.55  (assume @p2 true)
% 0.33/0.55  (step @p3 :rule evaluate :args ((not true)))
% 0.33/0.55  (step @p4 :rule evaluate :args ((not false)))
% 0.33/0.55  (step @p5 :rule eq-refl :args (@t15))
% 0.33/0.55  (step @p6 :rule cong :premises (@p5) :args (@t16))
% 0.33/0.55  (step @p7 :rule trans :premises (@p6 @p3))
% 0.33/0.55  (step @p8 :rule quant-var-elim-eq :args ((= (forall @t10 @t18) @t16)))
% 0.33/0.55  (step @p9 :rule aci_norm :args ((= @t17 @t18)))
% 0.33/0.55  (step @p10 :rule cong :premises (@p9) :args ((forall @t10 @t17)))
% 0.33/0.55  (step @p11 :rule trans :premises (@p10 @p8))
% 0.33/0.55  (step @p12 :rule trans :premises (@p11 @p7))
% 0.33/0.55  (step @p13 :rule refl :args (@t13))
% 0.33/0.55  (step @p14 :rule refl :args (@t2))
% 0.33/0.55  (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t2 @t13)))
% 0.33/0.55  (step @p16 :rule symm :premises (@p15))
% 0.33/0.55  (step @p17 :rule eq_resolve :premises (@p14 @p16))
% 0.33/0.55  (step @p18 :rule refl :args (@t14))
% 0.33/0.55  (step @p19 :rule refl :args (@t3))
% 0.33/0.55  (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t3 @t14)))
% 0.33/0.55  (step @p21 :rule symm :premises (@p20))
% 0.33/0.55  (step @p22 :rule eq_resolve :premises (@p19 @p21))
% 0.33/0.55  (step @p23 :rule cong :premises (@p22) :args (@t4))
% 0.33/0.55  (step @p24 :rule nary_cong :premises (@p23 @p17) :args (@t5))
% 0.33/0.55  (step @p25 :rule cong :premises (@p24) :args (@t7))
% 0.33/0.55  (step @p26 :rule refl :args (@t8))
% 0.33/0.55  (step @p27 :rule cong :premises (@p26 @p25) :args (@t9))
% 0.33/0.55  (step @p28 :rule cong :premises (@p27) :args (@t19))
% 0.33/0.55  (step @p29 :rule cong :premises (@p28) :args (@t20))
% 0.33/0.55  (step @p30 :rule trans :premises (@p29 @p12))
% 0.33/0.55  (step @p31 :rule cong :premises (@p30) :args (@t21))
% 0.33/0.55  (step @p32 :rule trans :premises (@p31 @p4))
% 0.33/0.55  (step @p33 :rule exists-elim :args ((= @t11 @t21)))
% 0.33/0.55  (step @p34 :rule trans :premises (@p33 @p32))
% 0.33/0.55  (step @p35 :rule cong :premises (@p34) :args (@t12))
% 0.33/0.55  (step @p36 :rule trans :premises (@p35 @p3))
% 0.33/0.55  (step @p37 false :rule eq_resolve :premises (@p1 @p36))
% 0.33/0.55  )
% 0.33/0.55  % SZS output end Proof
% 0.33/0.55  % cvc5 exiting
%------------------------------------------------------------------------------