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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO502^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n028.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 09:13:01 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  : SYO502^1 : TPTP v9.2.1. Released v4.1.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n028.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 : Wed Jun  3 00:18:50 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TH0
% 0.27/0.54  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.27/0.54  % SZS status Theorem
% 0.27/0.54  % SZS output start Proof
% 0.27/0.54  (
% 0.27/0.54  (declare-sort $$unsorted 0)
% 0.27/0.54  (declare-const tptp.f (-> $$unsorted $$unsorted))
% 0.27/0.54  (declare-const tptp.b $$unsorted)
% 0.27/0.54  (declare-const tptp.g (-> $$unsorted $$unsorted))
% 0.27/0.54  (declare-const tptp.a $$unsorted)
% 0.27/0.54  (define @t1 () (_ tptp.f tptp.b))
% 0.27/0.54  (define @t2 () (= @t1 (_ tptp.g tptp.a)))
% 0.27/0.54  (define @t3 () (_ tptp.g tptp.b))
% 0.27/0.54  (define @t4 () (= (_ tptp.f tptp.a) @t3))
% 0.27/0.54  (define @t5 () (not @t4))
% 0.27/0.54  (define @t6 () (= tptp.a tptp.b))
% 0.27/0.54  (define @t7 () (not @t6))
% 0.27/0.54  (define @t8 () (or @t7 @t5 @t2))
% 0.27/0.54  (define @t9 () (not @t8))
% 0.27/0.54  (define @t10 () (tptp.g tptp.b))
% 0.27/0.54  (define @t11 () (tptp.f tptp.b))
% 0.27/0.54  (define @t12 () (= @t3 @t1))
% 0.27/0.54  (define @t13 () (not @t12))
% 0.27/0.54  (define @t14 () (or @t13 @t12))
% 0.27/0.54  (define @t15 () (= @t1 @t3))
% 0.27/0.54  (define @t16 () (not @t15))
% 0.27/0.54  (define @t17 () (not (= tptp.b tptp.b)))
% 0.27/0.54  (define @t18 () (or @t17 @t16 @t15))
% 0.27/0.54  (assume @p1 @t9)
% 0.27/0.54  (assume @p2 true)
% 0.27/0.54  (step @p3 :rule eq-symm :args (@t10 @t11))
% 0.27/0.54  (step @p4 :rule refl :args (@t11))
% 0.27/0.54  (step @p5 :rule refl :args (@t1))
% 0.27/0.54  (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t1 @t11)))
% 0.27/0.54  (step @p7 :rule symm :premises (@p6))
% 0.27/0.54  (step @p8 :rule eq_resolve :premises (@p5 @p7))
% 0.27/0.54  (step @p9 :rule refl :args (@t10))
% 0.27/0.54  (step @p10 :rule refl :args (@t3))
% 0.27/0.54  (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t3 @t10)))
% 0.27/0.54  (step @p12 :rule symm :premises (@p11))
% 0.27/0.54  (step @p13 :rule eq_resolve :premises (@p10 @p12))
% 0.27/0.54  (step @p14 :rule cong :premises (@p13 @p8) :args (@t12))
% 0.27/0.54  (step @p15 :rule trans :premises (@p14 @p3))
% 0.27/0.54  (step @p16 :rule cong :premises (@p15) :args (@t13))
% 0.27/0.54  (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t14))
% 0.27/0.54  (step @p18 :rule cong :premises (@p17) :args ((not @t14)))
% 0.27/0.54  (step @p19 :rule aci_norm :args ((= (or false @t13 @t12) @t14)))
% 0.27/0.54  (step @p20 :rule eq-symm :args (@t1 @t3))
% 0.27/0.54  (step @p21 :rule cong :premises (@p20) :args (@t16))
% 0.27/0.54  (step @p22 :rule evaluate :args ((not true)))
% 0.27/0.54  (step @p23 :rule eq-refl :args (tptp.b))
% 0.27/0.54  (step @p24 :rule cong :premises (@p23) :args (@t17))
% 0.27/0.54  (step @p25 :rule trans :premises (@p24 @p22))
% 0.27/0.54  (step @p26 :rule nary_cong :premises (@p25 @p21 @p20) :args (@t18))
% 0.27/0.54  (step @p27 :rule trans :premises (@p26 @p19))
% 0.27/0.54  (step @p28 :rule cong :premises (@p27) :args ((not @t18)))
% 0.27/0.54  (step @p29 :rule not_or_elim :premises (@p1) :args (0))
% 0.27/0.54  (step @p30 :rule not_not_elim :premises (@p29))
% 0.27/0.54  (step @p31 :rule refl :args (tptp.g))
% 0.27/0.54  (step @p32 :rule ho_cong :premises (@p31 @p30))
% 0.27/0.54  (step @p33 :rule refl :args (@t1))
% 0.27/0.54  (step @p34 :rule cong :premises (@p33 @p32) :args (@t2))
% 0.27/0.54  (step @p35 :rule refl :args (@t3))
% 0.27/0.54  (step @p36 :rule refl :args (tptp.f))
% 0.27/0.54  (step @p37 :rule ho_cong :premises (@p36 @p30))
% 0.27/0.54  (step @p38 :rule cong :premises (@p37 @p35) :args (@t4))
% 0.27/0.54  (step @p39 :rule cong :premises (@p38) :args (@t5))
% 0.27/0.54  (step @p40 :rule refl :args (tptp.b))
% 0.27/0.54  (step @p41 :rule cong :premises (@p30 @p40) :args (@t6))
% 0.27/0.54  (step @p42 :rule cong :premises (@p41) :args (@t7))
% 0.27/0.54  (step @p43 :rule nary_cong :premises (@p42 @p39 @p34) :args (@t8))
% 0.27/0.54  (step @p44 :rule cong :premises (@p43) :args (@t9))
% 0.27/0.54  (step @p45 :rule trans :premises (@p44 @p28))
% 0.27/0.54  (step @p46 :rule trans :premises (@p45 @p18))
% 0.27/0.54  (step @p47 :rule eq_resolve :premises (@p1 @p46))
% 0.27/0.54  (step @p48 :rule not_or_elim :premises (@p47) :args (0))
% 0.27/0.54  (step @p49 :rule not_not_elim :premises (@p48))
% 0.27/0.54  (step @p50 :rule not_or_elim :premises (@p47) :args (1))
% 0.27/0.54  (step @p51 false :rule chain_m_resolution :premises (@p50 @p49) :args (false (@list false) (@list (= @t11 @t10))))
% 0.27/0.54  )
% 0.27/0.54  % SZS output end Proof
% 0.27/0.54  % cvc5 exiting
%------------------------------------------------------------------------------