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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : KRS138+1 : TPTP v9.2.1. Released v3.1.0.
% 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 08:28:59 AM UTC 2026

% Result   : Theorem 0.41s 0.59s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS138+1 : TPTP v9.2.1. Released v3.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n001.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 05:28:50 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.33/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.41/0.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.41/0.59  % SZS status Theorem
% 0.41/0.59  % SZS output start Proof
% 0.41/0.59  (
% 0.41/0.59  (declare-sort $$unsorted 0)
% 0.41/0.59  (declare-const tptp.ic $$unsorted)
% 0.41/0.59  (declare-const tptp.ib $$unsorted)
% 0.41/0.59  (declare-const tptp.ia $$unsorted)
% 0.41/0.59  (declare-const tptp.xsd_string (-> $$unsorted Bool))
% 0.41/0.59  (declare-const tptp.cowlThing (-> $$unsorted Bool))
% 0.41/0.59  (declare-const tptp.xsd_integer (-> $$unsorted Bool))
% 0.41/0.59  (declare-const tptp.requalityOnA (-> $$unsorted $$unsorted Bool))
% 0.41/0.59  (declare-const tptp.cowlNothing (-> $$unsorted Bool))
% 0.41/0.59  (declare-const tptp.cA (-> $$unsorted Bool))
% 0.41/0.59  (define @t1 () (@var "B" $$unsorted))
% 0.41/0.59  (define @t2 () (@var "A" $$unsorted))
% 0.41/0.59  (define @t3 () (= @t2 @t1))
% 0.41/0.59  (define @t4 () (@list @t2 @t1))
% 0.41/0.59  (define @t5 () (@var "C" $$unsorted))
% 0.41/0.59  (define @t6 () (@list @t2 @t1 @t5))
% 0.41/0.59  (define @t7 () (@var "X" $$unsorted))
% 0.41/0.59  (define @t8 () (not (tptp.cowlNothing @t7)))
% 0.41/0.59  (define @t9 () (tptp.cowlThing @t7))
% 0.41/0.59  (define @t10 () (@list @t7))
% 0.41/0.59  (define @t11 () (forall @t10 (and @t9 @t8)))
% 0.41/0.59  (define @t12 () (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7)))))
% 0.41/0.59  (define @t13 () (= @t7 tptp.ia))
% 0.41/0.59  (define @t14 () (= @t7 tptp.ib))
% 0.41/0.59  (define @t15 () (forall @t10 (= (tptp.cA @t7) (or @t14 @t13))))
% 0.41/0.59  (define @t16 () (@var "Z" $$unsorted))
% 0.41/0.59  (define @t17 () (@var "Y" $$unsorted))
% 0.41/0.59  (define @t18 () (= @t17 @t16))
% 0.41/0.59  (define @t19 () (tptp.requalityOnA @t16 @t7))
% 0.41/0.59  (define @t20 () (tptp.requalityOnA @t17 @t7))
% 0.41/0.59  (define @t21 () (and @t20 @t19))
% 0.41/0.59  (define @t22 () (@list @t7 @t17 @t16))
% 0.41/0.59  (define @t23 () (forall @t22 (=> @t21 @t18)))
% 0.41/0.59  (define @t24 () (tptp.cA @t17))
% 0.41/0.59  (define @t25 () (tptp.requalityOnA @t7 @t17))
% 0.41/0.59  (define @t26 () (@list @t7 @t17))
% 0.41/0.59  (define @t27 () (forall @t26 (=> @t25 @t24)))
% 0.41/0.59  (define @t28 () (tptp.cowlThing tptp.ia))
% 0.41/0.59  (define @t29 () (tptp.requalityOnA tptp.ia tptp.ia))
% 0.41/0.59  (define @t30 () (tptp.cowlThing tptp.ib))
% 0.41/0.59  (define @t31 () (tptp.requalityOnA tptp.ib tptp.ib))
% 0.41/0.59  (define @t32 () (tptp.cowlThing tptp.ic))
% 0.41/0.59  (define @t33 () (forall @t26 (=> @t25 @t20)))
% 0.41/0.59  (define @t34 () (= @t7 tptp.ic))
% 0.41/0.59  (define @t35 () (or @t13 @t14 @t34))
% 0.41/0.59  (define @t36 () (forall @t26 (=> @t25 @t35)))
% 0.41/0.59  (define @t37 () (and @t11 @t12 @t36 @t33 @t28 @t29 @t30 @t32))
% 0.41/0.59  (define @t38 () (not @t37))
% 0.41/0.59  (define @t39 () (not @t25))
% 0.41/0.59  (define @t40 () (or @t39 @t13 @t14 @t34))
% 0.41/0.59  (define @t41 () (forall @t26 @t40))
% 0.41/0.59  (define @t42 () (@quantifiers_skolemize @t41 0))
% 0.41/0.59  (define @t43 () (@quantifiers_skolemize @t41 1))
% 0.41/0.59  (define @t44 () (forall @t26 (or @t39 @t20)))
% 0.41/0.59  (define @t45 () (@quantifiers_skolemize @t44 1))
% 0.41/0.59  (define @t46 () (@quantifiers_skolemize @t44 0))
% 0.41/0.59  (define @t47 () (tptp.requalityOnA @t46 @t45))
% 0.41/0.59  (define @t48 () (tptp.requalityOnA @t45 @t46))
% 0.41/0.59  (define @t49 () (not @t47))
% 0.41/0.59  (define @t50 () (or @t49 @t48))
% 0.41/0.59  (define @t51 () (tptp.cA @t45))
% 0.41/0.59  (define @t52 () (or @t49 @t51))
% 0.41/0.59  (define @t53 () (or (= @t45 tptp.ib) (= @t45 tptp.ia)))
% 0.41/0.59  (define @t54 () (= @t51 @t53))
% 0.41/0.59  (define @t55 () (= tptp.ia @t45))
% 0.41/0.59  (define @t56 () (= tptp.ib @t45))
% 0.41/0.59  (define @t57 () (or @t56 @t55))
% 0.41/0.59  (define @t58 () (= @t51 @t57))
% 0.41/0.59  (define @t59 () (@list false))
% 0.41/0.59  (define @t60 () (@list @t15))
% 0.41/0.59  (define @t61 () (forall @t26 (or @t39 @t24)))
% 0.41/0.59  (define @t62 () (not @t19))
% 0.41/0.59  (define @t63 () (not @t20))
% 0.41/0.59  (define @t64 () (or @t63 @t62 @t18))
% 0.41/0.59  (define @t65 () (tptp.requalityOnA tptp.ib @t45))
% 0.41/0.59  (define @t66 () (not @t65))
% 0.41/0.59  (define @t67 () (or @t49 @t66 (= @t46 tptp.ib)))
% 0.41/0.59  (define @t68 () (forall @t22 @t64))
% 0.41/0.59  (define @t69 () (= tptp.ib @t46))
% 0.41/0.59  (define @t70 () (or @t49 @t66 @t69))
% 0.41/0.59  (define @t71 () (@list @t68))
% 0.41/0.59  (define @t72 () (= tptp.ia @t46))
% 0.41/0.59  (define @t73 () (not @t72))
% 0.41/0.59  (define @t74 () (not @t55))
% 0.41/0.59  (define @t75 () (not @t29))
% 0.41/0.59  (define @t76 () (not @t48))
% 0.41/0.59  (define @t77 () (not @t76))
% 0.41/0.59  (define @t78 () (= false true))
% 0.41/0.59  (define @t79 () (and @t29 @t55 @t72 @t76))
% 0.41/0.59  (define @t80 () (not @t57))
% 0.41/0.59  (define @t81 () (not @t56))
% 0.41/0.59  (define @t82 () (not @t69))
% 0.41/0.59  (define @t83 () (and @t74 @t72 @t69))
% 0.41/0.59  (define @t84 () (@list false true false))
% 0.41/0.59  (define @t85 () (tptp.requalityOnA @t46 tptp.ia))
% 0.41/0.59  (define @t86 () (not @t85))
% 0.41/0.59  (define @t87 () (or @t75 @t86 @t72))
% 0.41/0.59  (define @t88 () (not @t31))
% 0.41/0.59  (define @t89 () (and @t31 @t69 @t56 @t76))
% 0.41/0.59  (define @t90 () (and @t86 @t69 @t55 @t65))
% 0.41/0.59  (define @t91 () (tptp.requalityOnA tptp.ia @t45))
% 0.41/0.59  (define @t92 () (not @t91))
% 0.41/0.59  (define @t93 () (or @t49 @t92 (= @t46 tptp.ia)))
% 0.41/0.59  (define @t94 () (or @t49 @t92 @t72))
% 0.41/0.59  (define @t95 () (and @t29 @t55))
% 0.41/0.59  (define @t96 () (not @t50))
% 0.41/0.59  (define @t97 () (not @t44))
% 0.41/0.59  (define @t98 () (tptp.requalityOnA @t43 @t42))
% 0.41/0.59  (define @t99 () (tptp.requalityOnA @t42 @t43))
% 0.41/0.59  (define @t100 () (not @t99))
% 0.41/0.59  (define @t101 () (or @t100 @t98))
% 0.41/0.59  (define @t102 () (forall @t10 @t8))
% 0.41/0.59  (define @t103 () (@list @t7))
% 0.41/0.59  (define @t104 () (@var "BOUND_VARIABLE_7600" $$unsorted))
% 0.41/0.59  (define @t105 () (forall @t10 @t9))
% 0.41/0.59  (define @t106 () (@var "BOUND_VARIABLE_7595" $$unsorted))
% 0.41/0.59  (define @t107 () (and @t105 @t102))
% 0.41/0.59  (define @t108 () (forall (@list @t104) (not (tptp.cowlNothing @t104))))
% 0.41/0.59  (define @t109 () (forall (@list @t106) (tptp.cowlThing @t106)))
% 0.41/0.59  (define @t110 () (not @t41))
% 0.41/0.59  (define @t111 () (= tptp.ib @t42))
% 0.41/0.59  (define @t112 () (= tptp.ia @t42))
% 0.41/0.59  (define @t113 () (or @t100 @t112 @t111 (= tptp.ic @t42)))
% 0.41/0.59  (define @t114 () (not @t113))
% 0.41/0.59  (define @t115 () (= @t42 tptp.ib))
% 0.41/0.59  (define @t116 () (= @t42 tptp.ia))
% 0.41/0.59  (define @t117 () (or @t100 @t116 @t115 (= @t42 tptp.ic)))
% 0.41/0.59  (define @t118 () (not @t117))
% 0.41/0.59  (define @t119 () (@list true))
% 0.41/0.59  (define @t120 () (@list @t113))
% 0.41/0.59  (define @t121 () (@list false false))
% 0.41/0.59  (define @t122 () (tptp.cA @t42))
% 0.41/0.59  (define @t123 () (not @t98))
% 0.41/0.59  (define @t124 () (or @t123 @t122))
% 0.41/0.59  (define @t125 () (or @t111 @t112))
% 0.41/0.59  (define @t126 () (not @t125))
% 0.41/0.59  (define @t127 () (or @t115 @t116))
% 0.41/0.59  (define @t128 () (= @t122 @t127))
% 0.41/0.59  (define @t129 () (= @t122 @t125))
% 0.41/0.59  (assume @p1 (forall @t4 (=> (and @t3 (tptp.cA @t2)) (tptp.cA @t1))))
% 0.41/0.59  (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1))))
% 0.41/0.59  (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1))))
% 0.41/0.59  (assume @p4 (forall @t6 (=> (and @t3 (tptp.requalityOnA @t2 @t5)) (tptp.requalityOnA @t1 @t5))))
% 0.41/0.59  (assume @p5 (forall @t6 (=> (and @t3 (tptp.requalityOnA @t5 @t2)) (tptp.requalityOnA @t5 @t1))))
% 0.41/0.59  (assume @p6 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1))))
% 0.41/0.59  (assume @p7 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1))))
% 0.41/0.59  (assume @p8 @t11)
% 0.41/0.59  (assume @p9 @t12)
% 0.41/0.59  (assume @p10 @t15)
% 0.41/0.59  (assume @p11 @t23)
% 0.41/0.59  (assume @p12 @t27)
% 0.41/0.59  (assume @p13 @t28)
% 0.41/0.59  (assume @p14 @t29)
% 0.41/0.59  (assume @p15 @t30)
% 0.41/0.59  (assume @p16 @t31)
% 0.41/0.59  (assume @p17 @t32)
% 0.41/0.59  (assume @p18 @t38)
% 0.41/0.59  (assume @p19 true)
% 0.41/0.59  (step @p20 :rule bool-impl-elim :args (@t25 @t24))
% 0.41/0.59  (step @p21 :rule cong :premises (@p20) :args (@t27))
% 0.41/0.59  (step @p22 :rule eq_resolve :premises (@p12 @p21))
% 0.41/0.59  (step @p23 :rule instantiate :premises (@p22) :args ((@list @t43 @t42)))
% 0.41/0.59  (step @p24 :rule bool-double-not-elim :args (@t47))
% 0.41/0.59  (step @p25 :rule refl :args (@t50))
% 0.41/0.59  (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t50 (not @t49))))
% 0.41/0.59  (step @p27 :rule cnf_or_neg :args (@t50 0))
% 0.41/0.59  (step @p28 :rule eq_resolve :premises (@p27 @p26))
% 0.41/0.59  (step @p29 :rule reordering :premises (@p28) :args ((or @t47 @t50)))
% 0.41/0.59  (step @p30 :rule cnf_or_neg :args (@t50 1))
% 0.41/0.59  (step @p31 :rule instantiate :premises (@p22) :args ((@list @t46 @t45)))
% 0.41/0.59  (step @p32 :rule cnf_or_pos :args (@t52))
% 0.41/0.59  (step @p33 :rule reordering :premises (@p32) :args ((or @t49 @t51 (not @t52))))
% 0.41/0.59  (step @p34 :rule eq-symm :args (@t45 tptp.ia))
% 0.41/0.59  (step @p35 :rule eq-symm :args (@t45 tptp.ib))
% 0.41/0.59  (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t53))
% 0.41/0.59  (step @p37 :rule refl :args (@t51))
% 0.41/0.59  (step @p38 :rule cong :premises (@p37 @p36) :args (@t54))
% 0.41/0.59  (step @p39 :rule refl :args (@t15))
% 0.41/0.59  (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t15 @t54)))
% 0.41/0.59  (assume-push @p371 @t15)
% 0.41/0.59  (step @p42 :rule instantiate :premises (@p10) :args ((@list @t45)))
% 0.41/0.59  (step-pop @p372 :rule scope :premises (@p42))
% 0.41/0.59  (step @p43 :rule process_scope :premises (@p372) :args (@t54))
% 0.41/0.59  (step @p45 :rule eq_resolve :premises (@p43 @p40))
% 0.41/0.59  (step @p46 :rule implies_elim :premises (@p45))
% 0.41/0.59  (step @p47 :rule chain_m_resolution :premises (@p46 @p10) :args (@t58 @t59 @t60))
% 0.41/0.59  (step @p48 :rule cnf_equiv_pos1 :args (@t58))
% 0.41/0.59  (step @p49 :rule reordering :premises (@p48) :args ((or (not @t51) @t57 (not @t58))))
% 0.41/0.59  (assume-push @p373 @t61)
% 0.41/0.59  (step-pop @p374 :rule scope :premises (@p31))
% 0.41/0.59  (step @p51 :rule process_scope :premises (@p374) :args (@t52))
% 0.41/0.59  (step @p53 :rule implies_elim :premises (@p51))
% 0.41/0.59  (step @p54 :rule aci_norm :args ((= (or (or @t63 @t62) @t18) @t64)))
% 0.41/0.59  (step @p55 :rule refl :args (@t18))
% 0.41/0.59  (step @p56 :rule bool-and-de-morgan :args (@t20 @t19 true))
% 0.41/0.59  (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t21) @t18)))
% 0.41/0.59  (step @p58 :rule trans :premises (@p57 @p54))
% 0.41/0.59  (step @p59 :rule bool-impl-elim :args (@t21 @t18))
% 0.41/0.59  (step @p60 :rule trans :premises (@p59 @p58))
% 0.41/0.59  (step @p61 :rule cong :premises (@p60) :args (@t23))
% 0.41/0.59  (step @p62 :rule eq_resolve :premises (@p11 @p61))
% 0.41/0.59  (step @p63 :rule eq-symm :args (@t46 tptp.ib))
% 0.41/0.59  (step @p64 :rule refl :args (@t66))
% 0.41/0.59  (step @p65 :rule refl :args (@t49))
% 0.41/0.59  (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args (@t67))
% 0.41/0.59  (step @p67 :rule refl :args (@t68))
% 0.41/0.59  (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t68 @t67)))
% 0.41/0.59  (assume-push @p375 @t68)
% 0.41/0.59  (step @p70 :rule instantiate :premises (@p62) :args ((@list @t45 @t46 tptp.ib)))
% 0.41/0.59  (step-pop @p376 :rule scope :premises (@p70))
% 0.41/0.59  (step @p71 :rule process_scope :premises (@p376) :args (@t67))
% 0.41/0.59  (step @p73 :rule eq_resolve :premises (@p71 @p68))
% 0.41/0.59  (step @p74 :rule implies_elim :premises (@p73))
% 0.41/0.59  (step @p75 :rule chain_m_resolution :premises (@p74 @p62) :args (@t70 @t59 @t71))
% 0.41/0.59  (step @p76 :rule cnf_or_pos :args (@t70))
% 0.41/0.59  (step @p77 :rule reordering :premises (@p76) :args ((or @t49 @t69 @t66 (not @t70))))
% 0.41/0.59  (step @p78 :rule refl :args (@t73))
% 0.41/0.59  (step @p79 :rule refl :args (@t74))
% 0.41/0.59  (step @p80 :rule bool-double-not-elim :args (@t48))
% 0.41/0.59  (step @p81 :rule refl :args (@t75))
% 0.41/0.59  (step @p82 :rule nary_cong :premises (@p81 @p80 @p79 @p78) :args ((or @t75 @t77 @t74 @t73)))
% 0.41/0.59  (assume-push @p377 @t29)
% 0.41/0.59  (assume-push @p378 @t55)
% 0.41/0.59  (assume-push @p379 @t72)
% 0.41/0.59  (assume-push @p380 @t76)
% 0.41/0.59  (step @p87 :rule evaluate :args (@t78))
% 0.41/0.59  (step @p88 :rule true_intro :premises (@p14))
% 0.41/0.59  (step @p89 :rule symm :premises (@p379))
% 0.41/0.59  (step @p90 :rule symm :premises (@p378))
% 0.41/0.59  (step @p91 :rule cong :premises (@p90 @p89) :args (@t48))
% 0.41/0.59  (step @p92 :rule false_intro :premises (@p380))
% 0.41/0.59  (step @p93 :rule symm :premises (@p92))
% 0.41/0.59  (step @p94 :rule trans :premises (@p93 @p91 @p88))
% 0.41/0.59  (step @p95 false :rule eq_resolve :premises (@p94 @p87))
% 0.41/0.59  (step-pop @p381 :rule scope :premises (@p95))
% 0.41/0.59  (step-pop @p382 :rule scope :premises (@p381))
% 0.41/0.59  (step-pop @p383 :rule scope :premises (@p382))
% 0.41/0.59  (step-pop @p384 :rule scope :premises (@p383))
% 0.41/0.59  (step @p96 :rule process_scope :premises (@p384) :args (false))
% 0.41/0.59  (assume-push @p385 @t29)
% 0.41/0.59  (assume-push @p386 @t76)
% 0.41/0.59  (assume-push @p387 @t55)
% 0.41/0.59  (assume-push @p388 @t72)
% 0.41/0.59  (step @p105 :rule and_intro :premises (@p14 @p387 @p388 @p386))
% 0.41/0.59  (step-pop @p389 :rule scope :premises (@p105))
% 0.41/0.59  (step-pop @p390 :rule scope :premises (@p389))
% 0.41/0.59  (step-pop @p391 :rule scope :premises (@p390))
% 0.41/0.59  (step-pop @p392 :rule scope :premises (@p391))
% 0.41/0.59  (step @p106 :rule process_scope :premises (@p392) :args (@t79))
% 0.41/0.59  (step @p111 :rule implies_elim :premises (@p106))
% 0.41/0.59  (step @p112 :rule resolution :premises (@p111 @p96) :args (true @t79))
% 0.41/0.59  (step @p113 :rule not_and :premises (@p112))
% 0.41/0.59  (step @p114 :rule eq_resolve :premises (@p113 @p82))
% 0.41/0.59  (step @p115 :rule cnf_or_pos :args (@t57))
% 0.41/0.59  (step @p116 :rule reordering :premises (@p115) :args ((or @t56 @t55 @t80)))
% 0.41/0.59  (step @p117 :rule refl :args (@t81))
% 0.41/0.59  (step @p118 :rule refl :args (@t82))
% 0.41/0.59  (step @p119 :rule bool-double-not-elim :args (@t55))
% 0.41/0.59  (step @p120 :rule nary_cong :premises (@p119 @p78 @p118 @p117) :args ((or (not @t74) @t73 @t82 @t81)))
% 0.41/0.59  (assume-push @p393 @t74)
% 0.41/0.59  (assume-push @p394 @t72)
% 0.41/0.59  (assume-push @p395 @t69)
% 0.41/0.59  (assume-push @p396 @t74)
% 0.41/0.59  (assume-push @p397 @t72)
% 0.41/0.59  (assume-push @p398 @t69)
% 0.41/0.59  (step @p127 :rule false_intro :premises (@p393))
% 0.41/0.59  (step @p128 :rule refl :args (@t45))
% 0.41/0.59  (step @p129 :rule symm :premises (@p394))
% 0.41/0.59  (step @p130 :rule trans :premises (@p395 @p129))
% 0.41/0.59  (step @p131 :rule cong :premises (@p130 @p128) :args (@t56))
% 0.41/0.59  (step @p132 :rule trans :premises (@p131 @p127))
% 0.41/0.59  (step @p133 :rule false_elim :premises (@p132))
% 0.41/0.59  (step-pop @p399 :rule scope :premises (@p133))
% 0.41/0.59  (step-pop @p400 :rule scope :premises (@p399))
% 0.41/0.59  (step-pop @p401 :rule scope :premises (@p400))
% 0.41/0.59  (step @p134 :rule process_scope :premises (@p401) :args (@t81))
% 0.41/0.59  (step @p138 :rule and_intro :premises (@p393 @p394 @p395))
% 0.41/0.59  (step @p139 :rule modus_ponens :premises (@p138 @p134))
% 0.41/0.59  (step-pop @p402 :rule scope :premises (@p139))
% 0.41/0.59  (step-pop @p403 :rule scope :premises (@p402))
% 0.41/0.59  (step-pop @p404 :rule scope :premises (@p403))
% 0.41/0.59  (step @p140 :rule process_scope :premises (@p404) :args (@t81))
% 0.41/0.59  (step @p144 :rule implies_elim :premises (@p140))
% 0.41/0.59  (step @p145 :rule cnf_and_neg :args (@t83))
% 0.41/0.59  (step @p146 :rule resolution :premises (@p145 @p144) :args (true @t83))
% 0.41/0.59  (step @p147 :rule eq_resolve :premises (@p146 @p120))
% 0.41/0.59  (step @p148 :rule reordering :premises (@p147) :args ((or @t55 @t81 @t73 @t82)))
% 0.41/0.59  (step @p149 :rule chain_m_resolution :premises (@p148 @p116 @p114 @p14) :args ((or @t48 @t80 @t73 @t82) @t84 (@list @t56 @t55 @t29)))
% 0.41/0.59  (step @p150 :rule instantiate :premises (@p62) :args ((@list tptp.ia tptp.ia @t46)))
% 0.41/0.59  (step @p151 :rule cnf_or_pos :args (@t87))
% 0.41/0.59  (step @p152 :rule reordering :premises (@p151) :args ((or @t75 @t86 @t72 (not @t87))))
% 0.41/0.59  (step @p153 :rule refl :args (@t88))
% 0.41/0.59  (step @p154 :rule nary_cong :premises (@p153 @p80 @p117 @p118) :args ((or @t88 @t77 @t81 @t82)))
% 0.41/0.59  (assume-push @p405 @t31)
% 0.41/0.59  (assume-push @p406 @t69)
% 0.41/0.59  (assume-push @p407 @t56)
% 0.41/0.59  (assume-push @p408 @t76)
% 0.41/0.59  (step @p87 :rule evaluate :args (@t78))
% 0.41/0.59  (step @p159 :rule true_intro :premises (@p16))
% 0.41/0.59  (step @p160 :rule refl :args (tptp.ib))
% 0.41/0.59  (step @p161 :rule symm :premises (@p406))
% 0.41/0.59  (step @p162 :rule cong :premises (@p161 @p160) :args ((tptp.requalityOnA @t46 tptp.ib)))
% 0.41/0.59  (step @p163 :rule symm :premises (@p407))
% 0.41/0.59  (step @p164 :rule trans :premises (@p163 @p406))
% 0.41/0.59  (step @p165 :rule cong :premises (@p164 @p161) :args (@t48))
% 0.41/0.59  (step @p166 :rule false_intro :premises (@p408))
% 0.41/0.59  (step @p167 :rule symm :premises (@p166))
% 0.41/0.59  (step @p168 :rule trans :premises (@p167 @p165 @p162 @p159))
% 0.41/0.59  (step @p169 false :rule eq_resolve :premises (@p168 @p87))
% 0.41/0.59  (step-pop @p409 :rule scope :premises (@p169))
% 0.41/0.59  (step-pop @p410 :rule scope :premises (@p409))
% 0.41/0.59  (step-pop @p411 :rule scope :premises (@p410))
% 0.41/0.59  (step-pop @p412 :rule scope :premises (@p411))
% 0.41/0.59  (step @p170 :rule process_scope :premises (@p412) :args (false))
% 0.41/0.59  (assume-push @p413 @t31)
% 0.41/0.59  (assume-push @p414 @t76)
% 0.41/0.59  (assume-push @p415 @t56)
% 0.41/0.59  (assume-push @p416 @t69)
% 0.41/0.59  (step @p179 :rule and_intro :premises (@p16 @p416 @p415 @p414))
% 0.41/0.59  (step-pop @p417 :rule scope :premises (@p179))
% 0.41/0.59  (step-pop @p418 :rule scope :premises (@p417))
% 0.41/0.59  (step-pop @p419 :rule scope :premises (@p418))
% 0.41/0.59  (step-pop @p420 :rule scope :premises (@p419))
% 0.41/0.59  (step @p180 :rule process_scope :premises (@p420) :args (@t89))
% 0.41/0.59  (step @p185 :rule implies_elim :premises (@p180))
% 0.41/0.59  (step @p186 :rule resolution :premises (@p185 @p170) :args (true @t89))
% 0.41/0.59  (step @p187 :rule not_and :premises (@p186))
% 0.41/0.59  (step @p188 :rule eq_resolve :premises (@p187 @p154))
% 0.41/0.59  (step @p189 :rule bool-double-not-elim :args (@t85))
% 0.41/0.59  (step @p190 :rule nary_cong :premises (@p79 @p189 @p118 @p64) :args ((or @t74 (not @t86) @t82 @t66)))
% 0.41/0.59  (assume-push @p421 @t86)
% 0.41/0.59  (assume-push @p422 @t69)
% 0.41/0.59  (assume-push @p423 @t55)
% 0.41/0.59  (assume-push @p424 @t65)
% 0.41/0.59  (step @p195 :rule evaluate :args ((= true false)))
% 0.41/0.59  (step @p196 :rule false_intro :premises (@p421))
% 0.41/0.59  (step @p197 :rule symm :premises (@p423))
% 0.41/0.59  (step @p198 :rule cong :premises (@p422 @p197) :args (@t65))
% 0.41/0.59  (step @p199 :rule true_intro :premises (@p424))
% 0.41/0.59  (step @p200 :rule symm :premises (@p199))
% 0.41/0.59  (step @p201 :rule trans :premises (@p200 @p198 @p196))
% 0.41/0.59  (step @p202 false :rule eq_resolve :premises (@p201 @p195))
% 0.41/0.59  (step-pop @p425 :rule scope :premises (@p202))
% 0.41/0.59  (step-pop @p426 :rule scope :premises (@p425))
% 0.41/0.59  (step-pop @p427 :rule scope :premises (@p426))
% 0.41/0.59  (step-pop @p428 :rule scope :premises (@p427))
% 0.41/0.59  (step @p203 :rule process_scope :premises (@p428) :args (false))
% 0.41/0.59  (assume-push @p429 @t55)
% 0.41/0.59  (assume-push @p430 @t86)
% 0.41/0.59  (assume-push @p431 @t69)
% 0.41/0.59  (assume-push @p432 @t65)
% 0.41/0.59  (step @p212 :rule and_intro :premises (@p430 @p431 @p429 @p432))
% 0.41/0.59  (step-pop @p433 :rule scope :premises (@p212))
% 0.41/0.59  (step-pop @p434 :rule scope :premises (@p433))
% 0.41/0.59  (step-pop @p435 :rule scope :premises (@p434))
% 0.41/0.59  (step-pop @p436 :rule scope :premises (@p435))
% 0.41/0.59  (step @p213 :rule process_scope :premises (@p436) :args (@t90))
% 0.41/0.59  (step @p218 :rule implies_elim :premises (@p213))
% 0.41/0.59  (step @p219 :rule resolution :premises (@p218 @p203) :args (true @t90))
% 0.41/0.59  (step @p220 :rule not_and :premises (@p219))
% 0.41/0.59  (step @p221 :rule eq_resolve :premises (@p220 @p190))
% 0.41/0.59  (step @p222 :rule chain_m_resolution :premises (@p221 @p116 @p188 @p16 @p152 @p150 @p14 @p149 @p77 @p75 @p49 @p46 @p10 @p33 @p53 @p22) :args ((or @t49 @t48 @t66) (@list false true false true false false true false false false false false false false false) (@list @t55 @t56 @t31 @t85 @t87 @t29 @t72 @t69 @t70 @t57 @t58 @t15 @t51 @t52 @t61)))
% 0.41/0.59  (step @p223 :rule eq-symm :args (@t46 tptp.ia))
% 0.41/0.59  (step @p224 :rule refl :args (@t92))
% 0.41/0.59  (step @p225 :rule nary_cong :premises (@p65 @p224 @p223) :args (@t93))
% 0.41/0.59  (step @p226 :rule cong :premises (@p67 @p225) :args ((=> @t68 @t93)))
% 0.41/0.59  (assume-push @p437 @t68)
% 0.41/0.59  (step @p228 :rule instantiate :premises (@p62) :args ((@list @t45 @t46 tptp.ia)))
% 0.41/0.59  (step-pop @p438 :rule scope :premises (@p228))
% 0.41/0.59  (step @p229 :rule process_scope :premises (@p438) :args (@t93))
% 0.41/0.59  (step @p231 :rule eq_resolve :premises (@p229 @p226))
% 0.41/0.59  (step @p232 :rule implies_elim :premises (@p231))
% 0.41/0.59  (step @p233 :rule chain_m_resolution :premises (@p232 @p62) :args (@t94 @t59 @t71))
% 0.41/0.59  (step @p234 :rule cnf_or_pos :args (@t94))
% 0.41/0.59  (step @p235 :rule reordering :premises (@p234) :args ((or @t49 @t72 @t92 (not @t94))))
% 0.41/0.59  (assume-push @p439 @t29)
% 0.41/0.59  (assume-push @p440 @t55)
% 0.41/0.59  (assume-push @p441 @t29)
% 0.41/0.59  (assume-push @p442 @t55)
% 0.41/0.59  (step @p88 :rule true_intro :premises (@p14))
% 0.41/0.59  (step @p240 :rule symm :premises (@p440))
% 0.41/0.59  (step @p241 :rule refl :args (tptp.ia))
% 0.41/0.59  (step @p242 :rule cong :premises (@p241 @p240) :args (@t91))
% 0.41/0.59  (step @p243 :rule trans :premises (@p242 @p88))
% 0.41/0.59  (step @p244 :rule true_elim :premises (@p243))
% 0.41/0.59  (step-pop @p443 :rule scope :premises (@p244))
% 0.41/0.59  (step-pop @p444 :rule scope :premises (@p443))
% 0.41/0.59  (step @p245 :rule process_scope :premises (@p444) :args (@t91))
% 0.41/0.59  (step @p248 :rule and_intro :premises (@p14 @p440))
% 0.41/0.59  (step @p249 :rule modus_ponens :premises (@p248 @p245))
% 0.41/0.59  (step-pop @p445 :rule scope :premises (@p249))
% 0.41/0.59  (step-pop @p446 :rule scope :premises (@p445))
% 0.41/0.59  (step @p250 :rule process_scope :premises (@p446) :args (@t91))
% 0.41/0.59  (step @p253 :rule implies_elim :premises (@p250))
% 0.41/0.59  (step @p254 :rule cnf_and_neg :args (@t95))
% 0.41/0.59  (step @p255 :rule resolution :premises (@p254 @p253) :args (true @t95))
% 0.41/0.59  (step @p256 :rule chain_m_resolution :premises (@p255 @p14 @p235 @p233 @p114 @p14) :args ((or @t49 @t48 @t74) (@list false true false true false) (@list @t29 @t91 @t94 @t72 @t29)))
% 0.41/0.59  (step @p257 :rule bool-double-not-elim :args (@t65))
% 0.41/0.59  (step @p258 :rule nary_cong :premises (@p153 @p117 @p257) :args ((or @t88 @t81 (not @t66))))
% 0.41/0.59  (assume-push @p447 @t31)
% 0.41/0.59  (assume-push @p448 @t56)
% 0.41/0.59  (assume-push @p449 @t66)
% 0.41/0.59  (step @p87 :rule evaluate :args (@t78))
% 0.41/0.59  (step @p159 :rule true_intro :premises (@p16))
% 0.41/0.59  (step @p262 :rule symm :premises (@p448))
% 0.41/0.59  (step @p160 :rule refl :args (tptp.ib))
% 0.41/0.59  (step @p263 :rule cong :premises (@p160 @p262) :args (@t65))
% 0.41/0.59  (step @p264 :rule false_intro :premises (@p449))
% 0.41/0.59  (step @p265 :rule symm :premises (@p264))
% 0.41/0.59  (step @p266 :rule trans :premises (@p265 @p263 @p159))
% 0.41/0.59  (step @p267 false :rule eq_resolve :premises (@p266 @p87))
% 0.41/0.59  (step-pop @p450 :rule scope :premises (@p267))
% 0.41/0.59  (step-pop @p451 :rule scope :premises (@p450))
% 0.41/0.59  (step-pop @p452 :rule scope :premises (@p451))
% 0.41/0.59  (step @p268 :rule process_scope :premises (@p452) :args (false))
% 0.41/0.59  (step @p272 :rule not_and :premises (@p268))
% 0.41/0.59  (step @p273 :rule eq_resolve :premises (@p272 @p258))
% 0.41/0.59  (step @p274 :rule chain_m_resolution :premises (@p273 @p16 @p116 @p256 @p222 @p49 @p47 @p33 @p31 @p30 @p29) :args (@t50 (@list false false true true false false false false true false) (@list @t31 @t56 @t55 @t65 @t57 @t58 @t51 @t52 @t48 @t47)))
% 0.41/0.59  (step @p275 :rule refl :args (@t96))
% 0.41/0.59  (step @p276 :rule bool-double-not-elim :args (@t44))
% 0.41/0.59  (step @p277 :rule nary_cong :premises (@p276 @p275) :args ((or (not @t97) @t96)))
% 0.41/0.59  (assume-push @p453 @t97)
% 0.41/0.59  (step @p279 :rule skolemize :premises (@p453))
% 0.41/0.59  (step-pop @p454 :rule scope :premises (@p279))
% 0.41/0.59  (step @p280 :rule process_scope :premises (@p454) :args (@t96))
% 0.41/0.59  (step @p282 :rule implies_elim :premises (@p280))
% 0.41/0.59  (step @p283 :rule eq_resolve :premises (@p282 @p277))
% 0.41/0.59  (step @p284 :rule chain_m_resolution :premises (@p283 @p274) :args (@t44 @t59 (@list @t50)))
% 0.41/0.59  (assume-push @p455 @t44)
% 0.41/0.59  (step @p286 :rule instantiate :premises (@p455) :args ((@list @t42 @t43)))
% 0.41/0.59  (step-pop @p456 :rule scope :premises (@p286))
% 0.41/0.59  (step @p287 :rule process_scope :premises (@p456) :args (@t101))
% 0.41/0.59  (step @p289 :rule implies_elim :premises (@p287))
% 0.41/0.59  (step @p290 :rule chain_m_resolution :premises (@p289 @p284) :args (@t101 @t59 (@list @t44)))
% 0.41/0.59  (step @p291 :rule alpha_equiv :args (@t102 @t103 (@list @t104)))
% 0.41/0.59  (step @p292 :rule alpha_equiv :args (@t105 @t103 (@list @t106)))
% 0.41/0.59  (step @p293 :rule nary_cong :premises (@p292 @p291) :args (@t107))
% 0.41/0.59  (step @p294 :rule quant-miniscope-and :args ((= @t11 @t107)))
% 0.41/0.59  (step @p295 :rule trans :premises (@p294 @p293))
% 0.41/0.59  (step @p296 :rule eq_resolve :premises (@p8 @p295))
% 0.41/0.59  (step @p297 :rule and_elim :premises (@p296) :args (1))
% 0.41/0.59  (step @p298 :rule and_elim :premises (@p296) :args (0))
% 0.41/0.59  (step @p299 :rule aci_norm :args ((= (and (and @t109 @t108) @t12 @t41 @t44 @t28 @t29 @t30 @t32) (and @t12 @t41 @t44 @t28 @t29 @t30 @t32 @t109 @t108))))
% 0.41/0.59  (step @p300 :rule refl :args (@t32))
% 0.41/0.59  (step @p301 :rule refl :args (@t30))
% 0.41/0.59  (step @p302 :rule refl :args (@t29))
% 0.41/0.59  (step @p303 :rule refl :args (@t28))
% 0.41/0.59  (step @p304 :rule bool-impl-elim :args (@t25 @t20))
% 0.41/0.59  (step @p305 :rule cong :premises (@p304) :args (@t33))
% 0.41/0.59  (step @p306 :rule aci_norm :args ((= (or @t39 @t35) @t40)))
% 0.41/0.59  (step @p307 :rule bool-impl-elim :args (@t25 @t35))
% 0.41/0.59  (step @p308 :rule trans :premises (@p307 @p306))
% 0.41/0.59  (step @p309 :rule cong :premises (@p308) :args (@t36))
% 0.41/0.59  (step @p310 :rule refl :args (@t12))
% 0.41/0.59  (step @p311 :rule nary_cong :premises (@p295 @p310 @p309 @p305 @p303 @p302 @p301 @p300) :args (@t37))
% 0.41/0.59  (step @p312 :rule trans :premises (@p311 @p299))
% 0.41/0.59  (step @p313 :rule cong :premises (@p312) :args (@t38))
% 0.41/0.59  (step @p314 :rule eq_resolve :premises (@p18 @p313))
% 0.41/0.59  (step @p315 :rule not_and :premises (@p314))
% 0.41/0.59  (step @p316 :rule reordering :premises (@p315) :args ((or (not @t109) (not @t108) (not @t12) (not @t28) @t75 (not @t30) (not @t32) @t110 @t97)))
% 0.41/0.59  (step @p317 :rule chain_m_resolution :premises (@p316 @p298 @p297 @p9 @p13 @p14 @p15 @p17 @p284) :args (@t110 (@list false false false false false false false false) (@list @t109 @t108 @t12 @t28 @t29 @t30 @t32 @t44)))
% 0.41/0.59  (step @p318 :rule refl :args (@t114))
% 0.41/0.59  (step @p319 :rule bool-double-not-elim :args (@t41))
% 0.41/0.59  (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or (not @t110) @t114)))
% 0.41/0.59  (step @p321 :rule eq-symm :args (@t42 tptp.ic))
% 0.41/0.59  (step @p322 :rule eq-symm :args (@t42 tptp.ib))
% 0.41/0.59  (step @p323 :rule eq-symm :args (@t42 tptp.ia))
% 0.41/0.59  (step @p324 :rule refl :args (@t100))
% 0.41/0.59  (step @p325 :rule nary_cong :premises (@p324 @p323 @p322 @p321) :args (@t117))
% 0.41/0.59  (step @p326 :rule cong :premises (@p325) :args (@t118))
% 0.41/0.59  (step @p327 :rule refl :args (@t110))
% 0.41/0.59  (step @p328 :rule cong :premises (@p327 @p326) :args ((=> @t110 @t118)))
% 0.41/0.59  (assume-push @p457 @t110)
% 0.41/0.59  (step @p330 :rule skolemize :premises (@p457))
% 0.41/0.59  (step-pop @p458 :rule scope :premises (@p330))
% 0.41/0.59  (step @p331 :rule process_scope :premises (@p458) :args (@t118))
% 0.41/0.59  (step @p333 :rule eq_resolve :premises (@p331 @p328))
% 0.41/0.59  (step @p334 :rule implies_elim :premises (@p333))
% 0.41/0.59  (step @p335 :rule eq_resolve :premises (@p334 @p320))
% 0.41/0.59  (step @p336 :rule chain_m_resolution :premises (@p335 @p317) :args (@t114 @t119 (@list @t41)))
% 0.41/0.59  (step @p337 :rule bool-double-not-elim :args (@t99))
% 0.41/0.59  (step @p338 :rule refl :args (@t113))
% 0.41/0.59  (step @p339 :rule nary_cong :premises (@p338 @p337) :args ((or @t113 (not @t100))))
% 0.41/0.59  (step @p340 :rule cnf_or_neg :args (@t113 0))
% 0.41/0.59  (step @p341 :rule eq_resolve :premises (@p340 @p339))
% 0.41/0.59  (step @p342 :rule reordering :premises (@p341) :args ((or @t99 @t113)))
% 0.41/0.59  (step @p343 :rule chain_m_resolution :premises (@p342 @p336) :args (@t99 @t119 @t120))
% 0.41/0.59  (step @p344 :rule cnf_or_pos :args (@t101))
% 0.41/0.59  (step @p345 :rule reordering :premises (@p344) :args ((or @t100 @t98 (not @t101))))
% 0.41/0.59  (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p290) :args (@t98 @t121 (@list @t99 @t101)))
% 0.41/0.59  (step @p347 :rule cnf_or_pos :args (@t124))
% 0.41/0.59  (step @p348 :rule reordering :premises (@p347) :args ((or @t123 @t122 (not @t124))))
% 0.41/0.59  (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p23) :args (@t122 @t121 (@list @t98 @t124)))
% 0.41/0.60  (step @p350 :rule cnf_or_neg :args (@t113 2))
% 0.41/0.60  (step @p351 :rule chain_m_resolution :premises (@p350 @p336) :args ((not @t111) @t119 @t120))
% 0.41/0.60  (step @p352 :rule cnf_or_neg :args (@t113 1))
% 0.41/0.60  (step @p353 :rule chain_m_resolution :premises (@p352 @p336) :args ((not @t112) @t119 @t120))
% 0.41/0.60  (step @p354 :rule cnf_or_pos :args (@t125))
% 0.41/0.60  (step @p355 :rule reordering :premises (@p354) :args ((or @t112 @t111 @t126)))
% 0.41/0.60  (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p351) :args (@t126 (@list true true) (@list @t112 @t111)))
% 0.41/0.60  (step @p357 :rule nary_cong :premises (@p322 @p323) :args (@t127))
% 0.41/0.60  (step @p358 :rule refl :args (@t122))
% 0.41/0.60  (step @p359 :rule cong :premises (@p358 @p357) :args (@t128))
% 0.41/0.60  (step @p360 :rule cong :premises (@p39 @p359) :args ((=> @t15 @t128)))
% 0.41/0.60  (assume-push @p459 @t15)
% 0.41/0.60  (step @p362 :rule instantiate :premises (@p10) :args ((@list @t42)))
% 0.41/0.60  (step-pop @p460 :rule scope :premises (@p362))
% 0.41/0.60  (step @p363 :rule process_scope :premises (@p460) :args (@t128))
% 0.41/0.60  (step @p365 :rule eq_resolve :premises (@p363 @p360))
% 0.41/0.60  (step @p366 :rule implies_elim :premises (@p365))
% 0.41/0.60  (step @p367 :rule chain_m_resolution :premises (@p366 @p10) :args (@t129 @t59 @t60))
% 0.41/0.60  (step @p368 :rule cnf_equiv_pos1 :args (@t129))
% 0.41/0.60  (step @p369 :rule reordering :premises (@p368) :args ((or (not @t122) @t125 (not @t129))))
% 0.41/0.60  (step @p370 false :rule chain_m_resolution :premises (@p369 @p367 @p356 @p349) :args (false @t84 (@list @t129 @t125 @t122)))
% 0.41/0.60  )
% 0.41/0.60  % SZS output end Proof
% 0.41/0.60  % cvc5 exiting
%------------------------------------------------------------------------------