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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO132^5 : 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 : 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 09:12:05 AM UTC 2026

% Result   : Theorem 0.35s 0.59s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : SYO132^5 : TPTP v9.2.1. Released v4.0.0.
% 0.07/0.15  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.36  % Computer : n001.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit : 300
% 0.17/0.36  % WCLimit  : 300
% 0.17/0.36  % DateTime : Wed Jun  3 00:00:05 EDT 2026
% 0.17/0.37  % CPUTime  : 
% 0.27/0.53  %----Proving TH0
% 0.35/0.59  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.35/0.59  % SZS status Theorem
% 0.35/0.59  % SZS output start Proof
% 0.35/0.59  (
% 0.35/0.59  (declare-sort $$unsorted 0)
% 0.35/0.59  (declare-const tptp.cP (-> (-> $$unsorted Bool) Bool))
% 0.35/0.59  (declare-const tptp.cT (-> $$unsorted Bool))
% 0.35/0.59  (declare-const tptp.cS (-> $$unsorted Bool))
% 0.35/0.59  (declare-const tptp.cX $$unsorted)
% 0.35/0.59  (define @t1 () (_ tptp.cP tptp.cT))
% 0.35/0.59  (define @t2 () (and @t1 (_ tptp.cS tptp.cX)))
% 0.35/0.59  (define @t3 () (= tptp.cS tptp.cT))
% 0.35/0.59  (define @t4 () (_ tptp.cT tptp.cX))
% 0.35/0.59  (define @t5 () (and (_ tptp.cP tptp.cS) @t4 @t3))
% 0.35/0.59  (define @t6 () (=> @t5 @t2))
% 0.35/0.59  (define @t7 () (not @t6))
% 0.35/0.59  (define @t8 () (tptp.cT tptp.cX))
% 0.35/0.59  (define @t9 () (tptp.cP tptp.cT))
% 0.35/0.59  (define @t10 () (and @t1 @t4))
% 0.35/0.59  (define @t11 () (=> @t10 @t10))
% 0.35/0.59  (define @t12 () (and @t1 @t4 (= tptp.cT tptp.cT)))
% 0.35/0.59  (define @t13 () (=> @t12 @t10))
% 0.35/0.59  (assume @p1 @t7)
% 0.35/0.59  (assume @p2 true)
% 0.35/0.59  (step @p3 :rule refl :args (@t8))
% 0.35/0.59  (step @p4 :rule refl :args (@t4))
% 0.35/0.59  (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t8)))
% 0.35/0.59  (step @p6 :rule symm :premises (@p5))
% 0.35/0.59  (step @p7 :rule eq_resolve :premises (@p4 @p6))
% 0.35/0.59  (step @p8 :rule refl :args (@t9))
% 0.35/0.59  (step @p9 :rule refl :args (@t1))
% 0.35/0.59  (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t1 @t9)))
% 0.35/0.59  (step @p11 :rule symm :premises (@p10))
% 0.35/0.59  (step @p12 :rule eq_resolve :premises (@p9 @p11))
% 0.35/0.59  (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t10))
% 0.35/0.59  (step @p14 :rule cong :premises (@p13 @p13) :args (@t11))
% 0.35/0.59  (step @p15 :rule cong :premises (@p14) :args ((not @t11)))
% 0.35/0.59  (step @p16 :rule refl :args (@t10))
% 0.35/0.59  (step @p17 :rule aci_norm :args ((= (and @t1 @t4 true) @t10)))
% 0.35/0.59  (step @p18 :rule eq-refl :args (tptp.cT))
% 0.35/0.59  (step @p19 :rule refl :args (@t4))
% 0.35/0.59  (step @p20 :rule refl :args (@t1))
% 0.35/0.59  (step @p21 :rule nary_cong :premises (@p20 @p19 @p18) :args (@t12))
% 0.35/0.59  (step @p22 :rule trans :premises (@p21 @p17))
% 0.35/0.59  (step @p23 :rule cong :premises (@p22 @p16) :args (@t13))
% 0.35/0.59  (step @p24 :rule cong :premises (@p23) :args ((not @t13)))
% 0.35/0.59  (step @p25 :rule refl :args (tptp.cX))
% 0.35/0.59  (step @p26 :rule not_implies_elim1 :premises (@p1))
% 0.35/0.59  (step @p27 :rule and_elim :premises (@p26) :args (2))
% 0.35/0.59  (step @p28 :rule ho_cong :premises (@p27 @p25))
% 0.35/0.59  (step @p29 :rule nary_cong :premises (@p20 @p28) :args (@t2))
% 0.35/0.59  (step @p30 :rule refl :args (tptp.cT))
% 0.35/0.59  (step @p31 :rule cong :premises (@p27 @p30) :args (@t3))
% 0.35/0.59  (step @p32 :rule refl :args (tptp.cP))
% 0.35/0.59  (step @p33 :rule ho_cong :premises (@p32 @p27))
% 0.35/0.59  (step @p34 :rule nary_cong :premises (@p33 @p19 @p31) :args (@t5))
% 0.35/0.59  (step @p35 :rule cong :premises (@p34 @p29) :args (@t6))
% 0.35/0.59  (step @p36 :rule cong :premises (@p35) :args (@t7))
% 0.35/0.59  (step @p37 :rule trans :premises (@p36 @p24))
% 0.35/0.59  (step @p38 :rule trans :premises (@p37 @p15))
% 0.35/0.59  (step @p39 :rule eq_resolve :premises (@p1 @p38))
% 0.35/0.59  (step @p40 :rule not_implies_elim1 :premises (@p39))
% 0.35/0.59  (step @p41 :rule and_elim :premises (@p40) :args (0))
% 0.35/0.59  (step @p42 :rule and_elim :premises (@p40) :args (1))
% 0.35/0.59  (step @p43 :rule not_implies_elim2 :premises (@p39))
% 0.35/0.59  (step @p44 :rule not_and :premises (@p43))
% 0.35/0.59  (step @p45 false :rule chain_m_resolution :premises (@p44 @p42 @p41) :args (false (@list false false) (@list @t8 @t9)))
% 0.35/0.59  )
% 0.35/0.59  % SZS output end Proof
% 0.35/0.59  % cvc5 exiting
%------------------------------------------------------------------------------