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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ALG210+2 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 08:05:30 AM UTC 2026

% Result   : Theorem 0.37s 0.59s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG210+2 : TPTP v9.2.1. Released v3.1.0.
% 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 : n013.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 01:41:15 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.59  % SZS status Theorem
% 0.37/0.59  % SZS output start Proof
% 0.37/0.59  (
% 0.37/0.59  (declare-sort $$unsorted 0)
% 0.37/0.59  (declare-const tptp.element (-> $$unsorted Bool))
% 0.37/0.59  (declare-const tptp.times (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.59  (define @t1 () (@var "A" $$unsorted))
% 0.37/0.59  (define @t2 () (@var "C" $$unsorted))
% 0.37/0.59  (define @t3 () (@var "B" $$unsorted))
% 0.37/0.59  (define @t4 () (tptp.times @t1 @t3))
% 0.37/0.59  (define @t5 () (@list @t1 @t3 @t2))
% 0.37/0.59  (define @t6 () (forall @t5 (= (tptp.times @t4 @t2) (tptp.times @t3 (tptp.times @t2 @t1)))))
% 0.37/0.59  (define @t7 () (tptp.times @t3 @t3))
% 0.37/0.59  (define @t8 () (tptp.times @t3 @t2))
% 0.37/0.59  (define @t9 () (and (= @t8 @t3) (= @t7 @t2)))
% 0.37/0.59  (define @t10 () (@list @t2))
% 0.37/0.59  (define @t11 () (exists @t10 @t9))
% 0.37/0.59  (define @t12 () (tptp.element @t3))
% 0.37/0.59  (define @t13 () (= @t12 @t11))
% 0.37/0.59  (define @t14 () (forall (@list @t3) @t13))
% 0.37/0.59  (define @t15 () (tptp.element @t2))
% 0.37/0.59  (define @t16 () (= @t2 @t4))
% 0.37/0.59  (define @t17 () (tptp.element @t1))
% 0.37/0.59  (define @t18 () (and @t17 @t12 @t16))
% 0.37/0.59  (define @t19 () (forall @t5 (=> @t18 @t15)))
% 0.37/0.59  (define @t20 () (not @t19))
% 0.37/0.59  (define @t21 () (= @t3 (tptp.times @t3 @t7)))
% 0.37/0.59  (define @t22 () (not @t21))
% 0.37/0.59  (define @t23 () (not (= @t7 @t7)))
% 0.37/0.59  (define @t24 () (or @t22 @t23))
% 0.37/0.59  (define @t25 () (= @t2 @t7))
% 0.37/0.59  (define @t26 () (not @t25))
% 0.37/0.59  (define @t27 () (= @t3 @t8))
% 0.37/0.59  (define @t28 () (not @t27))
% 0.37/0.59  (define @t29 () (or @t26 @t28 @t26))
% 0.37/0.59  (define @t30 () (or @t28 @t26))
% 0.37/0.59  (define @t31 () (and @t27 @t25))
% 0.37/0.59  (define @t32 () (forall @t10 (not @t31)))
% 0.37/0.59  (define @t33 () (not @t32))
% 0.37/0.59  (define @t34 () (tptp.element @t4))
% 0.37/0.59  (define @t35 () (not @t12))
% 0.37/0.59  (define @t36 () (not @t17))
% 0.37/0.59  (define @t37 () (or @t36 @t35 @t34))
% 0.37/0.59  (define @t38 () (@list @t1 @t3))
% 0.37/0.59  (define @t39 () (forall @t38 @t37))
% 0.37/0.59  (define @t40 () (@quantifiers_skolemize @t39 0))
% 0.37/0.59  (define @t41 () (not (= @t4 @t4)))
% 0.37/0.59  (define @t42 () (or @t36 @t35 @t41 @t34))
% 0.37/0.59  (define @t43 () (not @t16))
% 0.37/0.59  (define @t44 () (or @t43 @t36 @t35 @t43 @t15))
% 0.37/0.59  (define @t45 () (or @t36 @t35 @t43 @t15))
% 0.37/0.59  (define @t46 () (forall @t10 @t45))
% 0.37/0.59  (define @t47 () (forall @t38 @t46))
% 0.37/0.59  (define @t48 () (or @t36 @t35 @t43))
% 0.37/0.59  (define @t49 () (tptp.element @t40))
% 0.37/0.59  (define @t50 () (@quantifiers_skolemize @t39 1))
% 0.37/0.59  (define @t51 () (tptp.times @t40 @t50))
% 0.37/0.59  (define @t52 () (tptp.element @t51))
% 0.37/0.59  (define @t53 () (tptp.element @t50))
% 0.37/0.59  (define @t54 () (not @t53))
% 0.37/0.59  (define @t55 () (not @t49))
% 0.37/0.59  (define @t56 () (or @t55 @t54 @t52))
% 0.37/0.59  (define @t57 () (@list true))
% 0.37/0.59  (define @t58 () (@list @t56))
% 0.37/0.59  (define @t59 () (tptp.times @t40 @t40))
% 0.37/0.59  (define @t60 () (tptp.times @t40 @t59))
% 0.37/0.59  (define @t61 () (= @t40 @t60))
% 0.37/0.59  (define @t62 () (= @t49 @t61))
% 0.37/0.59  (define @t63 () (@list false false))
% 0.37/0.59  (define @t64 () (tptp.times @t50 @t50))
% 0.37/0.59  (define @t65 () (tptp.times @t50 @t64))
% 0.37/0.59  (define @t66 () (= @t50 @t65))
% 0.37/0.59  (define @t67 () (= @t53 @t66))
% 0.37/0.59  (define @t68 () (tptp.times @t51 @t51))
% 0.37/0.59  (define @t69 () (tptp.times @t51 @t68))
% 0.37/0.59  (define @t70 () (= @t51 @t69))
% 0.37/0.59  (define @t71 () (= @t52 @t70))
% 0.37/0.59  (define @t72 () (not @t70))
% 0.37/0.59  (define @t73 () (tptp.times @t59 @t40))
% 0.37/0.59  (define @t74 () (= @t73 @t60))
% 0.37/0.59  (define @t75 () (@list @t40 @t40 @t40))
% 0.37/0.59  (define @t76 () (= @t60 @t73))
% 0.37/0.59  (define @t77 () (@list false))
% 0.37/0.59  (define @t78 () (@list @t6))
% 0.37/0.59  (define @t79 () (tptp.times @t64 @t50))
% 0.37/0.59  (define @t80 () (= @t79 @t65))
% 0.37/0.59  (define @t81 () (@list @t50 @t50 @t50))
% 0.37/0.59  (define @t82 () (= @t65 @t79))
% 0.37/0.59  (define @t83 () (tptp.times @t50 @t51))
% 0.37/0.59  (define @t84 () (tptp.times @t83 @t40))
% 0.37/0.59  (define @t85 () (= @t84 @t68))
% 0.37/0.59  (define @t86 () (@list @t50 @t51 @t40))
% 0.37/0.59  (define @t87 () (= @t68 @t84))
% 0.37/0.59  (define @t88 () (tptp.times @t68 @t51))
% 0.37/0.59  (define @t89 () (= @t88 @t69))
% 0.37/0.59  (define @t90 () (@list @t51 @t51 @t51))
% 0.37/0.59  (define @t91 () (= @t69 @t88))
% 0.37/0.59  (define @t92 () (tptp.times @t64 @t40))
% 0.37/0.59  (define @t93 () (tptp.times @t50 @t40))
% 0.37/0.59  (define @t94 () (tptp.times @t50 @t92))
% 0.37/0.59  (define @t95 () (tptp.times @t59 @t93))
% 0.37/0.59  (define @t96 () (tptp.times @t60 @t50))
% 0.37/0.59  (define @t97 () (= @t96 @t95))
% 0.37/0.59  (define @t98 () (tptp.times @t59 @t59))
% 0.37/0.59  (define @t99 () (= (tptp.times @t60 @t40) @t98))
% 0.37/0.59  (define @t100 () (tptp.times @t64 @t64))
% 0.37/0.59  (define @t101 () (tptp.times @t65 @t50))
% 0.37/0.59  (define @t102 () (= @t101 @t100))
% 0.37/0.59  (define @t103 () (tptp.times @t40 @t65))
% 0.37/0.59  (define @t104 () (= (tptp.times @t92 @t50) @t103))
% 0.37/0.59  (define @t105 () (tptp.times @t40 @t64))
% 0.37/0.59  (define @t106 () (tptp.times @t79 @t40))
% 0.37/0.59  (define @t107 () (= @t106 (tptp.times @t50 @t105)))
% 0.37/0.59  (define @t108 () (tptp.times @t51 @t83))
% 0.37/0.59  (define @t109 () (tptp.times @t84 @t51))
% 0.37/0.59  (define @t110 () (= @t109 (tptp.times @t40 @t108)))
% 0.37/0.59  (define @t111 () (tptp.times @t51 @t59))
% 0.37/0.59  (define @t112 () (= @t111 (tptp.times @t50 @t73)))
% 0.37/0.59  (define @t113 () (tptp.times @t64 @t73))
% 0.37/0.59  (define @t114 () (tptp.times @t105 @t59))
% 0.37/0.59  (define @t115 () (= @t114 @t113))
% 0.37/0.59  (define @t116 () (tptp.times @t92 @t79))
% 0.37/0.59  (define @t117 () (tptp.times @t94 @t64))
% 0.37/0.59  (define @t118 () (= @t117 @t116))
% 0.37/0.59  (define @t119 () (tptp.times @t93 @t40))
% 0.37/0.59  (define @t120 () (tptp.times @t40 @t119))
% 0.37/0.59  (define @t121 () (= @t95 @t120))
% 0.37/0.59  (define @t122 () (tptp.times @t40 @t94))
% 0.37/0.59  (define @t123 () (tptp.times @t64 @t122))
% 0.37/0.59  (define @t124 () (= (tptp.times @t117 @t40) @t123))
% 0.37/0.59  (define @t125 () (= @t92 @t83))
% 0.37/0.59  (define @t126 () (tptp.times @t92 @t94))
% 0.37/0.59  (define @t127 () (tptp.times @t117 @t92))
% 0.37/0.59  (define @t128 () (= @t127 (tptp.times @t64 @t126)))
% 0.37/0.59  (define @t129 () (tptp.times @t59 @t51))
% 0.37/0.59  (define @t130 () (tptp.times @t59 @t129))
% 0.37/0.59  (define @t131 () (= (tptp.times @t111 @t59) @t130))
% 0.37/0.59  (define @t132 () (tptp.times @t73 @t51))
% 0.37/0.59  (define @t133 () (= @t132 (tptp.times @t40 @t111)))
% 0.37/0.59  (define @t134 () (tptp.times @t92 @t64))
% 0.37/0.59  (define @t135 () (tptp.times @t50 @t134))
% 0.37/0.59  (define @t136 () (= (tptp.times @t79 @t92) @t135))
% 0.37/0.59  (define @t137 () (tptp.times @t59 @t111))
% 0.37/0.59  (define @t138 () (= (tptp.times @t98 @t51) @t137))
% 0.37/0.59  (define @t139 () (tptp.times @t40 @t100))
% 0.37/0.59  (define @t140 () (= @t134 @t139))
% 0.37/0.59  (define @t141 () (tptp.times @t93 @t98))
% 0.37/0.59  (define @t142 () (= (tptp.times @t95 @t59) @t141))
% 0.37/0.59  (define @t143 () (= @t126 (tptp.times @t40 @t117)))
% 0.37/0.59  (define @t144 () (tptp.times @t83 @t94))
% 0.37/0.59  (define @t145 () (tptp.times @t40 @t51))
% 0.37/0.59  (define @t146 () (and @t61 @t66 @t97 @t99 @t102 @t104 @t76 @t82 @t87 @t91 @t107 @t110 @t112 @t115 @t118 @t121 @t124 @t125 @t128 @t131 @t133 @t136 @t138 @t140 @t142 @t143))
% 0.37/0.59  (assume @p1 @t6)
% 0.37/0.59  (assume @p2 @t14)
% 0.37/0.59  (assume @p3 @t20)
% 0.37/0.59  (assume @p4 true)
% 0.37/0.59  (step @p5 :rule bool-double-not-elim :args (@t21))
% 0.37/0.59  (step @p6 :rule aci_norm :args ((= (or @t22 false) @t22)))
% 0.37/0.59  (step @p7 :rule evaluate :args ((not true)))
% 0.37/0.59  (step @p8 :rule eq-refl :args (@t7))
% 0.37/0.59  (step @p9 :rule cong :premises (@p8) :args (@t23))
% 0.37/0.59  (step @p10 :rule trans :premises (@p9 @p7))
% 0.37/0.59  (step @p11 :rule refl :args (@t22))
% 0.37/0.59  (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t24))
% 0.37/0.59  (step @p13 :rule trans :premises (@p12 @p6))
% 0.37/0.59  (step @p14 :rule quant-var-elim-eq :args ((= (forall @t10 @t29) @t24)))
% 0.37/0.59  (step @p15 :rule aci_norm :args ((= @t30 @t29)))
% 0.37/0.59  (step @p16 :rule cong :premises (@p15) :args ((forall @t10 @t30)))
% 0.37/0.59  (step @p17 :rule trans :premises (@p16 @p14))
% 0.37/0.59  (step @p18 :rule trans :premises (@p17 @p13))
% 0.37/0.59  (step @p19 :rule bool-and-de-morgan :args (@t27 @t25 true))
% 0.37/0.59  (step @p20 :rule cong :premises (@p19) :args (@t32))
% 0.37/0.59  (step @p21 :rule trans :premises (@p20 @p18))
% 0.37/0.59  (step @p22 :rule cong :premises (@p21) :args (@t33))
% 0.37/0.59  (step @p23 :rule trans :premises (@p22 @p5))
% 0.37/0.59  (step @p24 :rule exists-elim :args ((= (exists @t10 @t31) @t33)))
% 0.37/0.59  (step @p25 :rule trans :premises (@p24 @p23))
% 0.37/0.59  (step @p26 :rule eq-symm :args (@t7 @t2))
% 0.37/0.59  (step @p27 :rule eq-symm :args (@t8 @t3))
% 0.37/0.59  (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t9))
% 0.37/0.59  (step @p29 :rule cong :premises (@p28) :args (@t11))
% 0.37/0.59  (step @p30 :rule trans :premises (@p29 @p25))
% 0.37/0.59  (step @p31 :rule refl :args (@t12))
% 0.37/0.59  (step @p32 :rule cong :premises (@p31 @p30) :args (@t13))
% 0.37/0.59  (step @p33 :rule cong :premises (@p32) :args (@t14))
% 0.37/0.59  (step @p34 :rule eq_resolve :premises (@p2 @p33))
% 0.37/0.59  (step @p35 :rule instantiate :premises (@p34) :args ((@list @t40)))
% 0.37/0.59  (step @p36 :rule aci_norm :args ((= (or @t36 @t35 false @t34) @t37)))
% 0.37/0.59  (step @p37 :rule refl :args (@t34))
% 0.37/0.59  (step @p38 :rule eq-refl :args (@t4))
% 0.37/0.59  (step @p39 :rule cong :premises (@p38) :args (@t41))
% 0.37/0.59  (step @p40 :rule trans :premises (@p39 @p7))
% 0.37/0.59  (step @p41 :rule refl :args (@t35))
% 0.37/0.59  (step @p42 :rule refl :args (@t36))
% 0.37/0.59  (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p37) :args (@t42))
% 0.37/0.59  (step @p44 :rule trans :premises (@p43 @p36))
% 0.37/0.59  (step @p45 :rule cong :premises (@p44) :args ((forall @t38 @t42)))
% 0.37/0.59  (step @p46 :rule quant-var-elim-eq :args ((= (forall @t10 @t44) @t42)))
% 0.37/0.59  (step @p47 :rule aci_norm :args ((= @t45 @t44)))
% 0.37/0.59  (step @p48 :rule cong :premises (@p47) :args (@t46))
% 0.37/0.59  (step @p49 :rule trans :premises (@p48 @p46))
% 0.37/0.59  (step @p50 :rule cong :premises (@p49) :args (@t47))
% 0.37/0.59  (step @p51 :rule quant-merge-prenex :args ((= @t47 (forall @t5 @t45))))
% 0.37/0.59  (step @p52 :rule symm :premises (@p51))
% 0.37/0.59  (step @p53 :rule trans :premises (@p52 @p50))
% 0.37/0.59  (step @p54 :rule trans :premises (@p53 @p45))
% 0.37/0.59  (step @p55 :rule aci_norm :args ((= (or @t48 @t15) @t45)))
% 0.37/0.59  (step @p56 :rule refl :args (@t15))
% 0.37/0.59  (step @p57 :rule aci_norm :args ((= (or @t36 (or @t35 @t43)) @t48)))
% 0.37/0.59  (step @p58 :rule bool-and-de-morgan :args (@t12 @t16 true))
% 0.37/0.59  (step @p59 :rule refl :args (@t36))
% 0.37/0.59  (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t36 (not (and @t12 @t16)))))
% 0.37/0.59  (step @p61 :rule bool-and-de-morgan :args (@t17 @t12 (and @t16)))
% 0.37/0.59  (step @p62 :rule trans :premises (@p61 @p60))
% 0.37/0.59  (step @p63 :rule trans :premises (@p62 @p57))
% 0.37/0.59  (step @p64 :rule nary_cong :premises (@p63 @p56) :args ((or (not @t18) @t15)))
% 0.37/0.59  (step @p65 :rule trans :premises (@p64 @p55))
% 0.37/0.59  (step @p66 :rule bool-impl-elim :args (@t18 @t15))
% 0.37/0.59  (step @p67 :rule trans :premises (@p66 @p65))
% 0.37/0.59  (step @p68 :rule cong :premises (@p67) :args (@t19))
% 0.37/0.59  (step @p69 :rule trans :premises (@p68 @p54))
% 0.37/0.59  (step @p70 :rule cong :premises (@p69) :args (@t20))
% 0.37/0.59  (step @p71 :rule eq_resolve :premises (@p3 @p70))
% 0.37/0.59  (step @p72 :rule skolemize :premises (@p71))
% 0.37/0.59  (step @p73 :rule bool-double-not-elim :args (@t49))
% 0.37/0.59  (step @p74 :rule refl :args (@t56))
% 0.37/0.59  (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t56 (not @t55))))
% 0.37/0.59  (step @p76 :rule cnf_or_neg :args (@t56 0))
% 0.37/0.59  (step @p77 :rule eq_resolve :premises (@p76 @p75))
% 0.37/0.59  (step @p78 :rule reordering :premises (@p77) :args ((or @t49 @t56)))
% 0.37/0.59  (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t49 @t57 @t58))
% 0.37/0.59  (step @p80 :rule cnf_equiv_pos1 :args (@t62))
% 0.37/0.59  (step @p81 :rule reordering :premises (@p80) :args ((or @t55 @t61 (not @t62))))
% 0.37/0.59  (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p35) :args (@t61 @t63 (@list @t49 @t62)))
% 0.37/0.59  (step @p83 :rule instantiate :premises (@p34) :args ((@list @t50)))
% 0.37/0.59  (step @p84 :rule bool-double-not-elim :args (@t53))
% 0.37/0.59  (step @p85 :rule nary_cong :premises (@p74 @p84) :args ((or @t56 (not @t54))))
% 0.37/0.59  (step @p86 :rule cnf_or_neg :args (@t56 1))
% 0.37/0.59  (step @p87 :rule eq_resolve :premises (@p86 @p85))
% 0.37/0.59  (step @p88 :rule reordering :premises (@p87) :args ((or @t53 @t56)))
% 0.37/0.59  (step @p89 :rule chain_m_resolution :premises (@p88 @p72) :args (@t53 @t57 @t58))
% 0.37/0.59  (step @p90 :rule cnf_equiv_pos1 :args (@t67))
% 0.37/0.59  (step @p91 :rule reordering :premises (@p90) :args ((or @t54 @t66 (not @t67))))
% 0.37/0.59  (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p83) :args (@t66 @t63 (@list @t53 @t67)))
% 0.37/0.59  (step @p93 :rule instantiate :premises (@p34) :args ((@list @t51)))
% 0.37/0.59  (step @p94 :rule cnf_or_neg :args (@t56 2))
% 0.37/0.59  (step @p95 :rule chain_m_resolution :premises (@p94 @p72) :args ((not @t52) @t57 @t58))
% 0.37/0.59  (step @p96 :rule cnf_equiv_pos2 :args (@t71))
% 0.37/0.59  (step @p97 :rule reordering :premises (@p96) :args ((or @t52 @t72 (not @t71))))
% 0.37/0.59  (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p93) :args (@t72 (@list true false) (@list @t52 @t71)))
% 0.37/0.59  (step @p99 :rule instantiate :premises (@p1) :args ((@list @t40 @t59 @t50)))
% 0.37/0.59  (step @p100 :rule instantiate :premises (@p1) :args ((@list @t40 @t59 @t40)))
% 0.37/0.59  (step @p101 :rule instantiate :premises (@p1) :args ((@list @t50 @t64 @t50)))
% 0.37/0.59  (step @p102 :rule instantiate :premises (@p1) :args ((@list @t64 @t40 @t50)))
% 0.37/0.59  (step @p103 :rule eq-symm :args (@t73 @t60))
% 0.37/0.59  (step @p104 :rule refl :args (@t6))
% 0.37/0.59  (step @p105 :rule cong :premises (@p104 @p103) :args ((=> @t6 @t74)))
% 0.37/0.59  (assume-push @p300 @t6)
% 0.37/0.59  (step @p107 :rule instantiate :premises (@p1) :args (@t75))
% 0.37/0.59  (step-pop @p301 :rule scope :premises (@p107))
% 0.37/0.59  (step @p108 :rule process_scope :premises (@p301) :args (@t74))
% 0.37/0.59  (step @p110 :rule eq_resolve :premises (@p108 @p105))
% 0.37/0.59  (step @p111 :rule implies_elim :premises (@p110))
% 0.37/0.59  (step @p112 :rule chain_m_resolution :premises (@p111 @p1) :args (@t76 @t77 @t78))
% 0.37/0.59  (step @p113 :rule eq-symm :args (@t79 @t65))
% 0.37/0.59  (step @p114 :rule cong :premises (@p104 @p113) :args ((=> @t6 @t80)))
% 0.37/0.59  (assume-push @p302 @t6)
% 0.37/0.59  (step @p116 :rule instantiate :premises (@p1) :args (@t81))
% 0.37/0.59  (step-pop @p303 :rule scope :premises (@p116))
% 0.37/0.59  (step @p117 :rule process_scope :premises (@p303) :args (@t80))
% 0.37/0.59  (step @p119 :rule eq_resolve :premises (@p117 @p114))
% 0.37/0.59  (step @p120 :rule implies_elim :premises (@p119))
% 0.37/0.59  (step @p121 :rule chain_m_resolution :premises (@p120 @p1) :args (@t82 @t77 @t78))
% 0.37/0.59  (step @p122 :rule eq-symm :args (@t84 @t68))
% 0.37/0.59  (step @p123 :rule cong :premises (@p104 @p122) :args ((=> @t6 @t85)))
% 0.37/0.59  (assume-push @p304 @t6)
% 0.37/0.59  (step @p125 :rule instantiate :premises (@p1) :args (@t86))
% 0.37/0.59  (step-pop @p305 :rule scope :premises (@p125))
% 0.37/0.59  (step @p126 :rule process_scope :premises (@p305) :args (@t85))
% 0.37/0.59  (step @p128 :rule eq_resolve :premises (@p126 @p123))
% 0.37/0.59  (step @p129 :rule implies_elim :premises (@p128))
% 0.37/0.59  (step @p130 :rule chain_m_resolution :premises (@p129 @p1) :args (@t87 @t77 @t78))
% 0.37/0.59  (step @p131 :rule eq-symm :args (@t88 @t69))
% 0.37/0.59  (step @p132 :rule cong :premises (@p104 @p131) :args ((=> @t6 @t89)))
% 0.37/0.59  (assume-push @p306 @t6)
% 0.37/0.59  (step @p134 :rule instantiate :premises (@p1) :args (@t90))
% 0.37/0.59  (step-pop @p307 :rule scope :premises (@p134))
% 0.37/0.59  (step @p135 :rule process_scope :premises (@p307) :args (@t89))
% 0.37/0.59  (step @p137 :rule eq_resolve :premises (@p135 @p132))
% 0.37/0.59  (step @p138 :rule implies_elim :premises (@p137))
% 0.37/0.59  (step @p139 :rule chain_m_resolution :premises (@p138 @p1) :args (@t91 @t77 @t78))
% 0.37/0.59  (step @p140 :rule instantiate :premises (@p1) :args ((@list @t64 @t50 @t40)))
% 0.37/0.59  (step @p141 :rule instantiate :premises (@p1) :args ((@list @t83 @t40 @t51)))
% 0.37/0.59  (step @p142 :rule instantiate :premises (@p1) :args ((@list @t40 @t50 @t59)))
% 0.37/0.59  (step @p143 :rule instantiate :premises (@p1) :args ((@list @t40 @t64 @t59)))
% 0.37/0.59  (step @p144 :rule instantiate :premises (@p1) :args ((@list @t50 @t92 @t64)))
% 0.37/0.59  (step @p145 :rule instantiate :premises (@p1) :args ((@list @t40 @t40 @t93)))
% 0.37/0.59  (step @p146 :rule instantiate :premises (@p1) :args ((@list @t94 @t64 @t40)))
% 0.37/0.59  (step @p147 :rule instantiate :premises (@p1) :args ((@list @t50 @t50 @t40)))
% 0.37/0.59  (step @p148 :rule instantiate :premises (@p1) :args ((@list @t94 @t64 @t92)))
% 0.37/0.59  (step @p149 :rule instantiate :premises (@p1) :args ((@list @t51 @t59 @t59)))
% 0.37/0.59  (step @p150 :rule instantiate :premises (@p1) :args ((@list @t59 @t40 @t51)))
% 0.37/0.59  (step @p151 :rule instantiate :premises (@p1) :args ((@list @t64 @t50 @t92)))
% 0.37/0.59  (step @p152 :rule instantiate :premises (@p1) :args ((@list @t59 @t59 @t51)))
% 0.37/0.59  (step @p153 :rule instantiate :premises (@p1) :args ((@list @t64 @t40 @t64)))
% 0.37/0.59  (step @p154 :rule instantiate :premises (@p1) :args ((@list @t59 @t93 @t59)))
% 0.37/0.59  (step @p155 :rule instantiate :premises (@p1) :args ((@list @t64 @t40 @t94)))
% 0.37/0.59  (assume-push @p308 @t61)
% 0.37/0.59  (assume-push @p309 @t66)
% 0.37/0.59  (assume-push @p310 @t97)
% 0.37/0.59  (assume-push @p311 @t99)
% 0.37/0.59  (assume-push @p312 @t102)
% 0.37/0.59  (assume-push @p313 @t104)
% 0.37/0.59  (assume-push @p314 @t76)
% 0.37/0.59  (assume-push @p315 @t82)
% 0.37/0.59  (assume-push @p316 @t87)
% 0.37/0.59  (assume-push @p317 @t91)
% 0.37/0.59  (assume-push @p318 @t107)
% 0.37/0.59  (assume-push @p319 @t110)
% 0.37/0.59  (assume-push @p320 @t112)
% 0.37/0.59  (assume-push @p321 @t115)
% 0.37/0.59  (assume-push @p322 @t118)
% 0.37/0.59  (assume-push @p323 @t121)
% 0.37/0.59  (assume-push @p324 @t124)
% 0.37/0.59  (assume-push @p325 @t125)
% 0.37/0.59  (assume-push @p326 @t128)
% 0.37/0.59  (assume-push @p327 @t131)
% 0.37/0.59  (assume-push @p328 @t133)
% 0.37/0.59  (assume-push @p329 @t136)
% 0.37/0.59  (assume-push @p330 @t138)
% 0.37/0.59  (assume-push @p331 @t140)
% 0.37/0.59  (assume-push @p332 @t142)
% 0.37/0.59  (assume-push @p333 @t143)
% 0.37/0.59  (step @p134 :rule instantiate :premises (@p1) :args (@t90))
% 0.37/0.59  (step @p182 :rule refl :args (@t51))
% 0.37/0.59  (step @p125 :rule instantiate :premises (@p1) :args (@t86))
% 0.37/0.59  (step @p183 :rule cong :premises (@p125 @p182) :args (@t109))
% 0.37/0.59  (step @p184 :rule symm :premises (@p141))
% 0.37/0.59  (step @p185 :rule refl :args (@t108))
% 0.37/0.59  (step @p186 :rule symm :premises (@p82))
% 0.37/0.59  (step @p107 :rule instantiate :premises (@p1) :args (@t75))
% 0.37/0.59  (step @p187 :rule trans :premises (@p107 @p186))
% 0.37/0.59  (step @p188 :rule cong :premises (@p187 @p185) :args ((tptp.times @t73 @t108)))
% 0.37/0.59  (step @p189 :rule refl :args (@t64))
% 0.37/0.59  (step @p190 :rule cong :premises (@p189 @p187) :args (@t113))
% 0.37/0.59  (step @p191 :rule trans :premises (@p143 @p190 @p147))
% 0.37/0.59  (step @p192 :rule cong :premises (@p182 @p191) :args ((tptp.times @t51 @t114)))
% 0.37/0.59  (step @p193 :rule symm :premises (@p143))
% 0.37/0.59  (step @p194 :rule symm :premises (@p190))
% 0.37/0.59  (step @p195 :rule trans :premises (@p194 @p193))
% 0.37/0.59  (step @p196 :rule cong :premises (@p182 @p195) :args ((tptp.times @t51 @t92)))
% 0.37/0.59  (step @p197 :rule refl :args (@t92))
% 0.37/0.59  (step @p198 :rule symm :premises (@p92))
% 0.37/0.59  (step @p199 :rule refl :args (@t40))
% 0.37/0.59  (step @p200 :rule cong :premises (@p199 @p198) :args (@t103))
% 0.37/0.59  (step @p116 :rule instantiate :premises (@p1) :args (@t81))
% 0.37/0.59  (step @p201 :rule trans :premises (@p116 @p198))
% 0.37/0.59  (step @p202 :rule cong :premises (@p197 @p201) :args (@t116))
% 0.37/0.59  (step @p203 :rule trans :premises (@p144 @p202 @p102 @p200))
% 0.37/0.59  (step @p204 :rule cong :premises (@p203 @p197) :args (@t127))
% 0.37/0.59  (step @p205 :rule symm :premises (@p148))
% 0.37/0.59  (step @p206 :rule refl :args (@t94))
% 0.37/0.59  (step @p207 :rule symm :premises (@p147))
% 0.37/0.59  (step @p208 :rule cong :premises (@p207 @p206) :args (@t144))
% 0.37/0.59  (step @p209 :rule cong :premises (@p189 @p208) :args ((tptp.times @t64 @t144)))
% 0.37/0.59  (step @p210 :rule symm :premises (@p208))
% 0.37/0.59  (step @p211 :rule symm :premises (@p155))
% 0.37/0.59  (step @p212 :rule symm :premises (@p203))
% 0.37/0.59  (step @p213 :rule cong :premises (@p199 @p212) :args (@t145))
% 0.37/0.59  (step @p214 :rule trans :premises (@p213 @p211 @p210))
% 0.37/0.59  (step @p215 :rule cong :premises (@p189 @p214) :args ((tptp.times @t64 @t145)))
% 0.37/0.59  (step @p216 :rule cong :premises (@p187 @p182) :args (@t132))
% 0.37/0.59  (step @p217 :rule symm :premises (@p150))
% 0.37/0.59  (step @p218 :rule symm :premises (@p142))
% 0.37/0.59  (step @p219 :rule symm :premises (@p187))
% 0.37/0.59  (step @p220 :rule refl :args (@t50))
% 0.37/0.59  (step @p221 :rule cong :premises (@p220 @p219) :args (@t93))
% 0.37/0.59  (step @p222 :rule cong :premises (@p201 @p199) :args (@t106))
% 0.37/0.59  (step @p223 :rule symm :premises (@p140))
% 0.37/0.59  (step @p224 :rule cong :premises (@p198 @p220) :args (@t101))
% 0.37/0.59  (step @p225 :rule symm :premises (@p101))
% 0.37/0.59  (step @p226 :rule trans :premises (@p225 @p224))
% 0.37/0.59  (step @p227 :rule cong :premises (@p199 @p226) :args (@t139))
% 0.37/0.59  (step @p228 :rule trans :premises (@p153 @p227))
% 0.37/0.59  (step @p229 :rule cong :premises (@p220 @p228) :args (@t135))
% 0.37/0.59  (step @p230 :rule symm :premises (@p201))
% 0.37/0.59  (step @p231 :rule cong :premises (@p230 @p197) :args (@t94))
% 0.37/0.59  (step @p232 :rule trans :premises (@p231 @p151 @p229 @p223 @p222 @p221 @p218))
% 0.37/0.59  (step @p233 :rule cong :premises (@p199 @p232) :args (@t122))
% 0.37/0.59  (step @p234 :rule trans :premises (@p233 @p217 @p216))
% 0.37/0.59  (step @p235 :rule cong :premises (@p189 @p234) :args (@t123))
% 0.37/0.59  (step @p236 :rule cong :premises (@p212 @p199) :args ((tptp.times @t51 @t40)))
% 0.37/0.59  (step @p237 :rule cong :premises (@p186 @p220) :args (@t96))
% 0.37/0.59  (step @p238 :rule symm :premises (@p99))
% 0.37/0.59  (step @p239 :rule symm :premises (@p221))
% 0.37/0.59  (step @p240 :rule trans :premises (@p142 @p239))
% 0.37/0.59  (step @p241 :rule refl :args (@t59))
% 0.37/0.59  (step @p242 :rule cong :premises (@p241 @p240) :args (@t137))
% 0.37/0.59  (step @p243 :rule cong :premises (@p82 @p199) :args (@t59))
% 0.37/0.59  (step @p244 :rule trans :premises (@p243 @p100))
% 0.37/0.59  (step @p245 :rule cong :premises (@p244 @p182) :args (@t129))
% 0.37/0.59  (step @p246 :rule trans :premises (@p245 @p152 @p242 @p238 @p237))
% 0.37/0.59  (step @p247 :rule cong :premises (@p241 @p246) :args (@t130))
% 0.37/0.59  (step @p248 :rule symm :premises (@p240))
% 0.37/0.59  (step @p249 :rule cong :premises (@p248 @p241) :args ((tptp.times @t93 @t59)))
% 0.37/0.59  (step @p250 :rule symm :premises (@p244))
% 0.37/0.59  (step @p251 :rule refl :args (@t93))
% 0.37/0.59  (step @p252 :rule cong :premises (@p251 @p250) :args (@t141))
% 0.37/0.59  (step @p253 :rule symm :premises (@p237))
% 0.37/0.59  (step @p254 :rule trans :premises (@p253 @p99))
% 0.37/0.59  (step @p255 :rule cong :premises (@p254 @p241) :args (@t111))
% 0.37/0.59  (step @p256 :rule trans :premises (@p231 @p151 @p229 @p223 @p222 @p221 @p218 @p255 @p154 @p252 @p249 @p149 @p247 @p245 @p152 @p242 @p238 @p237))
% 0.37/0.59  (step @p257 :rule symm :premises (@p231))
% 0.37/0.59  (step @p258 :rule symm :premises (@p151))
% 0.37/0.59  (step @p259 :rule symm :premises (@p229))
% 0.37/0.59  (step @p260 :rule symm :premises (@p222))
% 0.37/0.59  (step @p261 :rule trans :premises (@p260 @p140 @p259 @p258 @p257))
% 0.37/0.59  (step @p262 :rule trans :premises (@p261 @p256))
% 0.37/0.59  (step @p263 :rule cong :premises (@p262 @p186) :args ((tptp.times @t93 @t60)))
% 0.37/0.59  (step @p264 :rule cong :premises (@p251 @p82) :args (@t119))
% 0.37/0.59  (step @p265 :rule trans :premises (@p264 @p263 @p236 @p146 @p235 @p215 @p209 @p205 @p204 @p196 @p192))
% 0.37/0.60  (step @p266 :rule cong :premises (@p219 @p265) :args (@t120))
% 0.37/0.60  (step @p267 :rule trans :premises (@p253 @p99 @p145 @p266 @p188 @p184 @p183 @p134))
% 0.37/0.60  (step-pop @p334 :rule scope :premises (@p267))
% 0.37/0.60  (step-pop @p335 :rule scope :premises (@p334))
% 0.37/0.60  (step-pop @p336 :rule scope :premises (@p335))
% 0.37/0.60  (step-pop @p337 :rule scope :premises (@p336))
% 0.37/0.60  (step-pop @p338 :rule scope :premises (@p337))
% 0.37/0.60  (step-pop @p339 :rule scope :premises (@p338))
% 0.37/0.60  (step-pop @p340 :rule scope :premises (@p339))
% 0.37/0.60  (step-pop @p341 :rule scope :premises (@p340))
% 0.37/0.60  (step-pop @p342 :rule scope :premises (@p341))
% 0.37/0.60  (step-pop @p343 :rule scope :premises (@p342))
% 0.37/0.60  (step-pop @p344 :rule scope :premises (@p343))
% 0.37/0.60  (step-pop @p345 :rule scope :premises (@p344))
% 0.37/0.60  (step-pop @p346 :rule scope :premises (@p345))
% 0.37/0.60  (step-pop @p347 :rule scope :premises (@p346))
% 0.37/0.60  (step-pop @p348 :rule scope :premises (@p347))
% 0.37/0.60  (step-pop @p349 :rule scope :premises (@p348))
% 0.37/0.60  (step-pop @p350 :rule scope :premises (@p349))
% 0.37/0.60  (step-pop @p351 :rule scope :premises (@p350))
% 0.37/0.60  (step-pop @p352 :rule scope :premises (@p351))
% 0.37/0.60  (step-pop @p353 :rule scope :premises (@p352))
% 0.37/0.60  (step-pop @p354 :rule scope :premises (@p353))
% 0.37/0.60  (step-pop @p355 :rule scope :premises (@p354))
% 0.37/0.60  (step-pop @p356 :rule scope :premises (@p355))
% 0.37/0.60  (step-pop @p357 :rule scope :premises (@p356))
% 0.37/0.60  (step-pop @p358 :rule scope :premises (@p357))
% 0.37/0.60  (step-pop @p359 :rule scope :premises (@p358))
% 0.37/0.60  (step @p268 :rule process_scope :premises (@p359) :args (@t70))
% 0.37/0.60  (step @p295 :rule implies_elim :premises (@p268))
% 0.37/0.60  (step @p296 :rule cnf_and_neg :args (@t146))
% 0.37/0.60  (step @p297 :rule resolution :premises (@p296 @p295) :args (true @t146))
% 0.37/0.60  (step @p298 :rule reordering :premises (@p297) :args ((or @t70 (not @t61) (not @t66) (not @t97) (not @t99) (not @t102) (not @t104) (not @t76) (not @t82) (not @t87) (not @t91) (not @t107) (not @t110) (not @t112) (not @t115) (not @t118) (not @t121) (not @t124) (not @t125) (not @t128) (not @t131) (not @t133) (not @t136) (not @t138) (not @t140) (not @t142) (not @t143))))
% 0.37/0.60  (step @p299 false :rule chain_m_resolution :premises (@p298 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p130 @p121 @p112 @p102 @p101 @p100 @p99 @p98 @p92 @p82) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false true false false) (@list @t143 @t142 @t140 @t138 @t136 @t133 @t131 @t128 @t125 @t124 @t121 @t118 @t115 @t112 @t110 @t107 @t91 @t87 @t82 @t76 @t104 @t102 @t99 @t97 @t70 @t66 @t61)))
% 0.37/0.60  )
% 0.37/0.60  % SZS output end Proof
% 0.37/0.60  % cvc5 exiting
%------------------------------------------------------------------------------