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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU566^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n029.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 08:52:13 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
% 0.11/0.12  % Problem  : SEU566^2 : TPTP v9.2.1. Released v3.7.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n029.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 17:42:17 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.31/0.50  %----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 $$unsorted 0)
% 0.31/0.56  (declare-const tptp.subsetE Bool)
% 0.31/0.56  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.31/0.56  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.31/0.56  (define @t1 () (@var "B" $$unsorted))
% 0.31/0.56  (define @t2 () (@var "Xx" $$unsorted))
% 0.31/0.56  (define @t3 () (_ tptp.in @t2))
% 0.31/0.56  (define @t4 () (_ @t3 @t1))
% 0.31/0.56  (define @t5 () (@var "A" $$unsorted))
% 0.31/0.56  (define @t6 () (_ @t3 @t5))
% 0.31/0.56  (define @t7 () (=> @t6 @t4))
% 0.31/0.56  (define @t8 () (_ (_ tptp.subset @t5) @t1))
% 0.31/0.56  (define @t9 () (@list @t5 @t1 @t2))
% 0.31/0.56  (define @t10 () (forall @t9 (=> @t8 @t7)))
% 0.31/0.56  (define @t11 () (= tptp.subsetE @t10))
% 0.31/0.56  (define @t12 () (not @t8))
% 0.31/0.56  (define @t13 () (not @t4))
% 0.31/0.56  (define @t14 () (=> @t13 @t12))
% 0.31/0.56  (define @t15 () (forall @t9 (=> @t6 @t14)))
% 0.31/0.56  (define @t16 () (=> tptp.subsetE @t15))
% 0.31/0.56  (define @t17 () (not @t16))
% 0.31/0.56  (define @t18 () (tptp.subset @t5 @t1))
% 0.31/0.56  (define @t19 () (not @t18))
% 0.31/0.56  (define @t20 () (tptp.in @t2 @t1))
% 0.31/0.56  (define @t21 () (tptp.in @t2 @t5))
% 0.31/0.56  (define @t22 () (not @t21))
% 0.31/0.56  (define @t23 () (or @t22 @t20 @t19))
% 0.31/0.56  (define @t24 () (forall @t9 @t23))
% 0.31/0.56  (define @t25 () (not @t6))
% 0.31/0.56  (define @t26 () (or @t12 @t25 @t4))
% 0.31/0.56  (define @t27 () (=> tptp.subsetE @t24))
% 0.31/0.56  (define @t28 () (or @t25 @t4 @t12))
% 0.31/0.56  (define @t29 () (or @t19 @t22 @t20))
% 0.31/0.56  (define @t30 () (forall @t9 @t29))
% 0.31/0.56  (define @t31 () (@list false))
% 0.31/0.56  (assume @p1 @t11)
% 0.31/0.56  (assume @p2 @t17)
% 0.31/0.56  (assume @p3 true)
% 0.31/0.56  (step @p4 :rule refl :args (@t24))
% 0.31/0.56  (step @p5 :rule refl :args (@t20))
% 0.31/0.56  (step @p6 :rule refl :args (@t4))
% 0.31/0.56  (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t20)))
% 0.31/0.56  (step @p8 :rule symm :premises (@p7))
% 0.31/0.56  (step @p9 :rule eq_resolve :premises (@p6 @p8))
% 0.31/0.56  (step @p10 :rule refl :args (@t21))
% 0.31/0.56  (step @p11 :rule refl :args (@t6))
% 0.31/0.56  (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t6 @t21)))
% 0.31/0.56  (step @p13 :rule symm :premises (@p12))
% 0.31/0.56  (step @p14 :rule eq_resolve :premises (@p11 @p13))
% 0.31/0.56  (step @p15 :rule cong :premises (@p14) :args (@t25))
% 0.31/0.56  (step @p16 :rule refl :args (@t18))
% 0.31/0.56  (step @p17 :rule refl :args (@t8))
% 0.31/0.56  (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t8 @t18)))
% 0.31/0.56  (step @p19 :rule symm :premises (@p18))
% 0.31/0.56  (step @p20 :rule eq_resolve :premises (@p17 @p19))
% 0.31/0.56  (step @p21 :rule cong :premises (@p20) :args (@t12))
% 0.31/0.56  (step @p22 :rule nary_cong :premises (@p21 @p15 @p9) :args (@t26))
% 0.31/0.56  (step @p23 :rule cong :premises (@p22) :args ((forall @t9 @t26)))
% 0.31/0.56  (step @p24 :rule aci_norm :args ((= (or @t12 (or @t25 @t4)) @t26)))
% 0.31/0.56  (step @p25 :rule bool-impl-elim :args (@t6 @t4))
% 0.31/0.56  (step @p26 :rule refl :args (@t12))
% 0.31/0.56  (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t12 @t7)))
% 0.31/0.56  (step @p28 :rule trans :premises (@p27 @p24))
% 0.31/0.56  (step @p29 :rule bool-impl-elim :args (@t8 @t7))
% 0.31/0.56  (step @p30 :rule trans :premises (@p29 @p28))
% 0.31/0.56  (step @p31 :rule cong :premises (@p30) :args (@t10))
% 0.31/0.56  (step @p32 :rule trans :premises (@p31 @p23))
% 0.31/0.56  (step @p33 :rule refl :args (tptp.subsetE))
% 0.31/0.56  (step @p34 :rule cong :premises (@p33 @p32) :args (@t11))
% 0.31/0.56  (step @p35 :rule eq_resolve :premises (@p1 @p34))
% 0.31/0.56  (step @p36 :rule cong :premises (@p35 @p4) :args (@t27))
% 0.31/0.56  (step @p37 :rule cong :premises (@p36) :args ((not @t27)))
% 0.31/0.56  (step @p38 :rule nary_cong :premises (@p15 @p9 @p21) :args (@t28))
% 0.31/0.56  (step @p39 :rule cong :premises (@p38) :args ((forall @t9 @t28)))
% 0.31/0.56  (step @p40 :rule aci_norm :args ((= (or @t25 (or @t4 @t12)) @t28)))
% 0.31/0.56  (step @p41 :rule bool-double-not-elim :args (@t4))
% 0.31/0.56  (step @p42 :rule nary_cong :premises (@p41 @p26) :args ((or (not @t13) @t12)))
% 0.31/0.56  (step @p43 :rule bool-impl-elim :args (@t13 @t12))
% 0.31/0.56  (step @p44 :rule trans :premises (@p43 @p42))
% 0.31/0.56  (step @p45 :rule refl :args (@t25))
% 0.31/0.56  (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t25 @t14)))
% 0.31/0.56  (step @p47 :rule trans :premises (@p46 @p40))
% 0.31/0.56  (step @p48 :rule bool-impl-elim :args (@t6 @t14))
% 0.31/0.56  (step @p49 :rule trans :premises (@p48 @p47))
% 0.31/0.56  (step @p50 :rule cong :premises (@p49) :args (@t15))
% 0.31/0.56  (step @p51 :rule trans :premises (@p50 @p39))
% 0.31/0.56  (step @p52 :rule cong :premises (@p33 @p51) :args (@t16))
% 0.31/0.56  (step @p53 :rule cong :premises (@p52) :args (@t17))
% 0.31/0.56  (step @p54 :rule trans :premises (@p53 @p37))
% 0.31/0.56  (step @p55 :rule eq_resolve :premises (@p2 @p54))
% 0.31/0.56  (step @p56 :rule not_implies_elim1 :premises (@p55))
% 0.31/0.56  (step @p57 :rule aci_norm :args ((= @t23 @t29)))
% 0.31/0.56  (step @p58 :rule cong :premises (@p57) :args (@t24))
% 0.31/0.56  (step @p59 :rule true_intro :premises (@p58))
% 0.31/0.56  (step @p60 :rule eq-symm :args (@t30 @t24))
% 0.31/0.56  (step @p61 :rule trans :premises (@p60 @p59))
% 0.31/0.56  (step @p62 :rule true_elim :premises (@p61))
% 0.31/0.56  (step @p63 :rule equiv_elim1 :premises (@p62))
% 0.31/0.56  (step @p64 :rule reordering :premises (@p63) :args ((or @t24 (not @t30))))
% 0.31/0.56  (step @p65 :rule chain_m_resolution :premises (@p64 @p56) :args (@t24 @t31 (@list @t30)))
% 0.31/0.56  (step @p66 :rule not_implies_elim2 :premises (@p55))
% 0.31/0.56  (step @p67 false :rule chain_m_resolution :premises (@p66 @p65) :args (false @t31 (@list @t24)))
% 0.31/0.56  )
% 0.31/0.56  % SZS output end Proof
% 0.31/0.57  % cvc5 exiting
%------------------------------------------------------------------------------