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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEV228^5 : 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 : n018.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 08:55:38 AM UTC 2026

% Result   : Theorem 0.31s 0.56s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV228^5 : 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
% 0.17/0.34  % Computer : n018.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 18:20:50 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TH0
% 0.31/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.31/0.56  % SZS status Theorem
% 0.31/0.56  % SZS output start Proof
% 0.31/0.56  (
% 0.31/0.56  (declare-sort tptp.a 0)
% 0.31/0.56  (declare-const tptp.cS (-> tptp.a Bool))
% 0.31/0.56  (define @t1 () (@var "Xx" tptp.a))
% 0.31/0.56  (define @t2 () (@var "S_11" (-> tptp.a Bool)))
% 0.31/0.56  (define @t3 () (_ @t2 @t1))
% 0.31/0.56  (define @t4 () (@var "Xx0" tptp.a))
% 0.31/0.56  (define @t5 () (_ tptp.cS @t4))
% 0.31/0.56  (define @t6 () (_ @t2 @t4))
% 0.31/0.56  (define @t7 () (@list @t4))
% 0.31/0.56  (define @t8 () (forall @t7 (=> @t6 @t5)))
% 0.31/0.56  (define @t9 () (and @t8 @t3))
% 0.31/0.56  (define @t10 () (@list @t2))
% 0.31/0.56  (define @t11 () (exists @t10 @t9))
% 0.31/0.56  (define @t12 () (_ tptp.cS @t1))
% 0.31/0.56  (define @t13 () (=> @t12 @t11))
% 0.31/0.56  (define @t14 () (@list @t1))
% 0.31/0.56  (define @t15 () (forall @t14 @t13))
% 0.31/0.56  (define @t16 () (not @t15))
% 0.31/0.56  (define @t17 () (_ @t2 @t1))
% 0.31/0.56  (define @t18 () (tptp.cS @t4))
% 0.31/0.56  (define @t19 () (_ @t2 @t4))
% 0.31/0.56  (define @t20 () (forall @t7 (or (not @t19) @t18)))
% 0.31/0.56  (define @t21 () (not @t20))
% 0.31/0.56  (define @t22 () (not (forall @t10 (or @t21 (not @t17)))))
% 0.31/0.56  (define @t23 () (tptp.cS @t1))
% 0.31/0.56  (define @t24 () (not @t12))
% 0.31/0.56  (define @t25 () (or @t24 @t22))
% 0.31/0.56  (define @t26 () (not @t3))
% 0.31/0.56  (define @t27 () (or @t21 @t26))
% 0.31/0.56  (define @t28 () (and @t20 @t3))
% 0.31/0.56  (define @t29 () (forall @t10 (not @t28)))
% 0.31/0.56  (define @t30 () (not @t29))
% 0.31/0.56  (define @t31 () (not @t6))
% 0.31/0.56  (define @t32 () (or @t31 @t5))
% 0.31/0.56  (define @t33 () (@quantifiers_skolemize (forall @t14 (or (not @t23) @t22)) 0))
% 0.31/0.56  (define @t34 () (tptp.cS @t33))
% 0.31/0.56  (define @t35 () (forall @t10 (or @t21 (not (_ @t2 @t33)))))
% 0.31/0.56  (define @t36 () (not @t35))
% 0.31/0.56  (define @t37 () (not @t34))
% 0.31/0.56  (define @t38 () (or @t37 @t36))
% 0.31/0.56  (define @t39 () (@list true))
% 0.31/0.56  (define @t40 () (@list @t38))
% 0.31/0.56  (define @t41 () (forall @t7 (or (not @t18) @t18)))
% 0.31/0.56  (define @t42 () (not @t41))
% 0.31/0.56  (define @t43 () (or @t42 @t37))
% 0.31/0.56  (assume @p1 @t16)
% 0.31/0.56  (assume @p2 true)
% 0.31/0.56  (step @p3 :rule refl :args (@t22))
% 0.31/0.56  (step @p4 :rule refl :args (@t23))
% 0.31/0.56  (step @p5 :rule refl :args (@t12))
% 0.31/0.56  (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t12 @t23)))
% 0.31/0.56  (step @p7 :rule symm :premises (@p6))
% 0.31/0.56  (step @p8 :rule eq_resolve :premises (@p5 @p7))
% 0.31/0.56  (step @p9 :rule cong :premises (@p8) :args (@t24))
% 0.31/0.56  (step @p10 :rule nary_cong :premises (@p9 @p3) :args (@t25))
% 0.31/0.56  (step @p11 :rule cong :premises (@p10) :args ((forall @t14 @t25)))
% 0.31/0.56  (step @p12 :rule bool-impl-elim :args (@t12 @t22))
% 0.31/0.56  (step @p13 :rule cong :premises (@p12) :args ((forall @t14 (=> @t12 @t22))))
% 0.31/0.56  (step @p14 :rule trans :premises (@p13 @p11))
% 0.31/0.56  (step @p15 :rule refl :args (@t17))
% 0.31/0.56  (step @p16 :rule refl :args (@t3))
% 0.31/0.56  (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t3 @t17)))
% 0.31/0.56  (step @p18 :rule symm :premises (@p17))
% 0.31/0.56  (step @p19 :rule eq_resolve :premises (@p16 @p18))
% 0.31/0.56  (step @p20 :rule cong :premises (@p19) :args (@t26))
% 0.31/0.56  (step @p21 :rule refl :args (@t21))
% 0.31/0.56  (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t27))
% 0.31/0.56  (step @p23 :rule cong :premises (@p22) :args ((forall @t10 @t27)))
% 0.31/0.56  (step @p24 :rule bool-and-de-morgan :args (@t20 @t3 true))
% 0.31/0.56  (step @p25 :rule cong :premises (@p24) :args (@t29))
% 0.31/0.56  (step @p26 :rule trans :premises (@p25 @p23))
% 0.31/0.56  (step @p27 :rule cong :premises (@p26) :args (@t30))
% 0.31/0.56  (step @p28 :rule exists-elim :args ((= (exists @t10 @t28) @t30)))
% 0.31/0.56  (step @p29 :rule trans :premises (@p28 @p27))
% 0.31/0.56  (step @p30 :rule refl :args (@t3))
% 0.31/0.56  (step @p31 :rule refl :args (@t18))
% 0.31/0.56  (step @p32 :rule refl :args (@t5))
% 0.31/0.56  (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t5 @t18)))
% 0.31/0.56  (step @p34 :rule symm :premises (@p33))
% 0.31/0.56  (step @p35 :rule eq_resolve :premises (@p32 @p34))
% 0.31/0.56  (step @p36 :rule refl :args (@t19))
% 0.31/0.56  (step @p37 :rule refl :args (@t6))
% 0.31/0.56  (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t6 @t19)))
% 0.31/0.56  (step @p39 :rule symm :premises (@p38))
% 0.31/0.56  (step @p40 :rule eq_resolve :premises (@p37 @p39))
% 0.31/0.56  (step @p41 :rule cong :premises (@p40) :args (@t31))
% 0.31/0.56  (step @p42 :rule nary_cong :premises (@p41 @p35) :args (@t32))
% 0.31/0.56  (step @p43 :rule cong :premises (@p42) :args ((forall @t7 @t32)))
% 0.31/0.56  (step @p44 :rule bool-impl-elim :args (@t6 @t5))
% 0.31/0.56  (step @p45 :rule cong :premises (@p44) :args (@t8))
% 0.31/0.56  (step @p46 :rule trans :premises (@p45 @p43))
% 0.31/0.56  (step @p47 :rule nary_cong :premises (@p46 @p30) :args (@t9))
% 0.31/0.56  (step @p48 :rule cong :premises (@p47) :args (@t11))
% 0.31/0.56  (step @p49 :rule trans :premises (@p48 @p29))
% 0.31/0.56  (step @p50 :rule refl :args (@t12))
% 0.31/0.56  (step @p51 :rule cong :premises (@p50 @p49) :args (@t13))
% 0.31/0.56  (step @p52 :rule cong :premises (@p51) :args (@t15))
% 0.31/0.56  (step @p53 :rule trans :premises (@p52 @p14))
% 0.31/0.56  (step @p54 :rule cong :premises (@p53) :args (@t16))
% 0.31/0.56  (step @p55 :rule eq_resolve :premises (@p1 @p54))
% 0.31/0.56  (step @p56 :rule skolemize :premises (@p55))
% 0.31/0.56  (step @p57 :rule bool-double-not-elim :args (@t34))
% 0.31/0.56  (step @p58 :rule refl :args (@t38))
% 0.31/0.56  (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t38 (not @t37))))
% 0.31/0.56  (step @p60 :rule cnf_or_neg :args (@t38 0))
% 0.31/0.56  (step @p61 :rule eq_resolve :premises (@p60 @p59))
% 0.31/0.56  (step @p62 :rule reordering :premises (@p61) :args ((or @t34 @t38)))
% 0.31/0.56  (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t34 @t39 @t40))
% 0.31/0.56  (step @p64 :rule bool-double-not-elim :args (@t35))
% 0.31/0.56  (step @p65 :rule nary_cong :premises (@p58 @p64) :args ((or @t38 (not @t36))))
% 0.31/0.56  (step @p66 :rule cnf_or_neg :args (@t38 1))
% 0.31/0.56  (step @p67 :rule eq_resolve :premises (@p66 @p65))
% 0.31/0.56  (step @p68 :rule reordering :premises (@p67) :args ((or @t35 @t38)))
% 0.31/0.56  (step @p69 :rule chain_m_resolution :premises (@p68 @p56) :args (@t35 @t39 @t40))
% 0.31/0.56  (step @p70 :rule aci_norm :args ((= (or false @t37) @t37)))
% 0.31/0.56  (step @p71 :rule refl :args (@t37))
% 0.31/0.56  (step @p72 :rule evaluate :args ((not true)))
% 0.31/0.56  (step @p73 :rule quant-unused-vars :args ((= (forall @t7 true) true)))
% 0.31/0.56  (step @p74 :rule bool-or-taut2 :args (false @t18 false false))
% 0.31/0.56  (step @p75 :rule cong :premises (@p74) :args (@t41))
% 0.31/0.56  (step @p76 :rule trans :premises (@p75 @p73))
% 0.31/0.56  (step @p77 :rule cong :premises (@p76) :args (@t42))
% 0.31/0.56  (step @p78 :rule trans :premises (@p77 @p72))
% 0.31/0.56  (step @p79 :rule nary_cong :premises (@p78 @p71) :args (@t43))
% 0.31/0.56  (step @p80 :rule trans :premises (@p79 @p70))
% 0.31/0.56  (step @p81 :rule refl :args (@t35))
% 0.31/0.56  (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t35 @t43)))
% 0.31/0.56  (assume-push @p91 @t35)
% 0.31/0.56  (step @p84 :rule instantiate :premises (@p69) :args ((@list tptp.cS)))
% 0.31/0.56  (step-pop @p92 :rule scope :premises (@p84))
% 0.31/0.56  (step @p85 :rule process_scope :premises (@p92) :args (@t43))
% 0.31/0.56  (step @p87 :rule eq_resolve :premises (@p85 @p82))
% 0.31/0.56  (step @p88 :rule implies_elim :premises (@p87))
% 0.31/0.56  (step @p89 :rule reordering :premises (@p88) :args (@t38))
% 0.31/0.56  (step @p90 false :rule chain_m_resolution :premises (@p89 @p69 @p63) :args (false (@list false false) (@list @t35 @t34)))
% 0.31/0.56  )
% 0.31/0.56  % SZS output end Proof
% 0.31/0.56  % cvc5 exiting
%------------------------------------------------------------------------------