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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU732^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n021.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 08:52:56 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  : SEU732^2 : TPTP v9.2.1. Released v3.7.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n021.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 17:51:05 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.49  %----Proving TH0
% 0.37/0.59  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.37/0.59  % SZS status Theorem
% 0.37/0.59  % SZS output start Proof
% 0.37/0.59  (
% 0.37/0.59  (declare-sort $$unsorted 0)
% 0.37/0.59  (declare-const tptp.binintersectTELcontra Bool)
% 0.37/0.59  (declare-const tptp.powerset (-> $$unsorted $$unsorted))
% 0.37/0.59  (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.59  (declare-const tptp.setminusER Bool)
% 0.37/0.59  (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.59  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.37/0.59  (define @t1 () (@var "B" $$unsorted))
% 0.37/0.59  (define @t2 () (@var "Xx" $$unsorted))
% 0.37/0.59  (define @t3 () (_ tptp.in @t2))
% 0.37/0.59  (define @t4 () (_ @t3 @t1))
% 0.37/0.59  (define @t5 () (not @t4))
% 0.37/0.59  (define @t6 () (@var "A" $$unsorted))
% 0.37/0.59  (define @t7 () (_ tptp.setminus @t6))
% 0.37/0.59  (define @t8 () (_ @t7 @t1))
% 0.37/0.59  (define @t9 () (_ @t3 @t8))
% 0.37/0.59  (define @t10 () (@list @t6 @t1 @t2))
% 0.37/0.59  (define @t11 () (forall @t10 (=> @t9 @t5)))
% 0.37/0.59  (define @t12 () (= tptp.setminusER @t11))
% 0.37/0.59  (define @t13 () (@var "Y" $$unsorted))
% 0.37/0.59  (define @t14 () (@var "X" $$unsorted))
% 0.37/0.59  (define @t15 () (_ (_ tptp.binintersect @t14) @t13))
% 0.37/0.59  (define @t16 () (_ @t3 @t15))
% 0.37/0.59  (define @t17 () (not @t16))
% 0.37/0.59  (define @t18 () (_ @t3 @t14))
% 0.37/0.59  (define @t19 () (not @t18))
% 0.37/0.59  (define @t20 () (=> @t19 @t17))
% 0.37/0.59  (define @t21 () (_ @t3 @t6))
% 0.37/0.59  (define @t22 () (@list @t2))
% 0.37/0.59  (define @t23 () (forall @t22 (=> @t21 @t20)))
% 0.37/0.59  (define @t24 () (_ tptp.powerset @t6))
% 0.37/0.59  (define @t25 () (_ tptp.in @t13))
% 0.37/0.59  (define @t26 () (_ @t25 @t24))
% 0.37/0.59  (define @t27 () (=> @t26 @t23))
% 0.37/0.59  (define @t28 () (@list @t13))
% 0.37/0.59  (define @t29 () (forall @t28 @t27))
% 0.37/0.59  (define @t30 () (_ tptp.in @t14))
% 0.37/0.59  (define @t31 () (_ @t30 @t24))
% 0.37/0.59  (define @t32 () (=> @t31 @t29))
% 0.37/0.59  (define @t33 () (@list @t6 @t14))
% 0.37/0.59  (define @t34 () (forall @t33 @t32))
% 0.37/0.59  (define @t35 () (= tptp.binintersectTELcontra @t34))
% 0.37/0.59  (define @t36 () (_ @t7 @t14))
% 0.37/0.59  (define @t37 () (_ @t3 @t36))
% 0.37/0.59  (define @t38 () (=> @t37 @t17))
% 0.37/0.59  (define @t39 () (forall @t22 (=> @t21 @t38)))
% 0.37/0.59  (define @t40 () (=> @t26 @t39))
% 0.37/0.59  (define @t41 () (forall @t28 @t40))
% 0.37/0.59  (define @t42 () (=> @t31 @t41))
% 0.37/0.59  (define @t43 () (forall @t33 @t42))
% 0.37/0.59  (define @t44 () (=> tptp.binintersectTELcontra @t43))
% 0.37/0.59  (define @t45 () (=> tptp.setminusER @t44))
% 0.37/0.59  (define @t46 () (not @t45))
% 0.37/0.59  (define @t47 () (@var "BOUND_VARIABLE_7582" $$unsorted))
% 0.37/0.59  (define @t48 () (@var "BOUND_VARIABLE_7584" $$unsorted))
% 0.37/0.59  (define @t49 () (not (tptp.in @t48 (tptp.binintersect @t14 @t47))))
% 0.37/0.59  (define @t50 () (tptp.setminus @t6 @t14))
% 0.37/0.59  (define @t51 () (not (tptp.in @t48 @t50)))
% 0.37/0.59  (define @t52 () (not (tptp.in @t48 @t6)))
% 0.37/0.59  (define @t53 () (tptp.powerset @t6))
% 0.37/0.59  (define @t54 () (not (tptp.in @t47 @t53)))
% 0.37/0.59  (define @t55 () (tptp.in @t14 @t53))
% 0.37/0.59  (define @t56 () (not @t55))
% 0.37/0.59  (define @t57 () (or @t56 @t54 @t52 @t51 @t49))
% 0.37/0.59  (define @t58 () (@list @t6 @t14 @t47 @t48))
% 0.37/0.59  (define @t59 () (forall @t58 @t57))
% 0.37/0.59  (define @t60 () (@var "BOUND_VARIABLE_7526" $$unsorted))
% 0.37/0.59  (define @t61 () (@var "BOUND_VARIABLE_7528" $$unsorted))
% 0.37/0.59  (define @t62 () (not (tptp.in @t61 (tptp.binintersect @t14 @t60))))
% 0.37/0.59  (define @t63 () (tptp.in @t61 @t14))
% 0.37/0.59  (define @t64 () (not (tptp.in @t61 @t6)))
% 0.37/0.59  (define @t65 () (not (tptp.in @t60 @t53)))
% 0.37/0.59  (define @t66 () (or @t56 @t65 @t64 @t63 @t62))
% 0.37/0.59  (define @t67 () (or @t65 @t64 @t63 @t62))
% 0.37/0.59  (define @t68 () (or @t56 @t67))
% 0.37/0.59  (define @t69 () (@list @t6 @t14 @t60 @t61))
% 0.37/0.59  (define @t70 () (forall @t69 @t68))
% 0.37/0.59  (define @t71 () (@list @t60 @t61))
% 0.37/0.59  (define @t72 () (forall @t71 @t68))
% 0.37/0.59  (define @t73 () (forall @t71 @t67))
% 0.37/0.59  (define @t74 () (@var "BOUND_VARIABLE_7503" $$unsorted))
% 0.37/0.59  (define @t75 () (or @t56 @t73))
% 0.37/0.59  (define @t76 () (tptp.binintersect @t14 @t13))
% 0.37/0.59  (define @t77 () (not (tptp.in @t74 @t76)))
% 0.37/0.59  (define @t78 () (tptp.in @t74 @t14))
% 0.37/0.59  (define @t79 () (not (tptp.in @t74 @t6)))
% 0.37/0.59  (define @t80 () (tptp.in @t13 @t53))
% 0.37/0.59  (define @t81 () (not @t80))
% 0.37/0.59  (define @t82 () (or @t81 @t79 @t78 @t77))
% 0.37/0.59  (define @t83 () (@list @t13 @t74))
% 0.37/0.59  (define @t84 () (forall @t83 @t82))
% 0.37/0.59  (define @t85 () (not @t31))
% 0.37/0.59  (define @t86 () (or @t85 @t84))
% 0.37/0.59  (define @t87 () (or @t79 @t78 @t77))
% 0.37/0.59  (define @t88 () (or @t81 @t87))
% 0.37/0.59  (define @t89 () (forall @t83 @t88))
% 0.37/0.59  (define @t90 () (@list @t74))
% 0.37/0.59  (define @t91 () (forall @t90 @t88))
% 0.37/0.59  (define @t92 () (forall @t90 @t87))
% 0.37/0.59  (define @t93 () (@list @t2))
% 0.37/0.59  (define @t94 () (or @t81 @t92))
% 0.37/0.59  (define @t95 () (tptp.in @t2 @t76))
% 0.37/0.59  (define @t96 () (not @t95))
% 0.37/0.59  (define @t97 () (tptp.in @t2 @t14))
% 0.37/0.59  (define @t98 () (tptp.in @t2 @t6))
% 0.37/0.59  (define @t99 () (not @t98))
% 0.37/0.59  (define @t100 () (forall @t22 (or @t99 @t97 @t96)))
% 0.37/0.59  (define @t101 () (not @t26))
% 0.37/0.59  (define @t102 () (or @t101 @t100))
% 0.37/0.59  (define @t103 () (not @t21))
% 0.37/0.59  (define @t104 () (or @t103 @t18 @t17))
% 0.37/0.59  (define @t105 () (=> tptp.binintersectTELcontra @t59))
% 0.37/0.59  (define @t106 () (tptp.in @t2 @t1))
% 0.37/0.59  (define @t107 () (tptp.setminus @t6 @t1))
% 0.37/0.59  (define @t108 () (tptp.in @t2 @t107))
% 0.37/0.59  (define @t109 () (not @t9))
% 0.37/0.59  (define @t110 () (or @t109 @t5))
% 0.37/0.59  (define @t111 () (=> tptp.setminusER @t105))
% 0.37/0.59  (define @t112 () (or @t54 @t52 @t51 @t49))
% 0.37/0.59  (define @t113 () (or @t56 @t112))
% 0.37/0.59  (define @t114 () (forall @t58 @t113))
% 0.37/0.59  (define @t115 () (@list @t47 @t48))
% 0.37/0.59  (define @t116 () (forall @t115 @t113))
% 0.37/0.59  (define @t117 () (forall @t115 @t112))
% 0.37/0.59  (define @t118 () (@var "BOUND_VARIABLE_7562" $$unsorted))
% 0.37/0.59  (define @t119 () (or @t56 @t117))
% 0.37/0.59  (define @t120 () (not (tptp.in @t118 @t76)))
% 0.37/0.59  (define @t121 () (not (tptp.in @t118 @t50)))
% 0.37/0.59  (define @t122 () (not (tptp.in @t118 @t6)))
% 0.37/0.59  (define @t123 () (or @t81 @t122 @t121 @t120))
% 0.37/0.59  (define @t124 () (@list @t13 @t118))
% 0.37/0.59  (define @t125 () (forall @t124 @t123))
% 0.37/0.59  (define @t126 () (or @t85 @t125))
% 0.37/0.59  (define @t127 () (or @t122 @t121 @t120))
% 0.37/0.59  (define @t128 () (or @t81 @t127))
% 0.37/0.59  (define @t129 () (forall @t124 @t128))
% 0.37/0.59  (define @t130 () (@list @t118))
% 0.37/0.59  (define @t131 () (forall @t130 @t128))
% 0.37/0.59  (define @t132 () (forall @t130 @t127))
% 0.37/0.59  (define @t133 () (or @t81 @t132))
% 0.37/0.59  (define @t134 () (tptp.in @t2 @t50))
% 0.37/0.59  (define @t135 () (forall @t22 (or @t99 (not @t134) @t96)))
% 0.37/0.59  (define @t136 () (or @t101 @t135))
% 0.37/0.59  (define @t137 () (not @t37))
% 0.37/0.59  (define @t138 () (or @t103 @t137 @t17))
% 0.37/0.59  (define @t139 () (@quantifiers_skolemize @t59 3))
% 0.37/0.59  (define @t140 () (@quantifiers_skolemize @t59 1))
% 0.37/0.59  (define @t141 () (@quantifiers_skolemize @t59 0))
% 0.37/0.59  (define @t142 () (tptp.in @t139 (tptp.setminus @t141 @t140)))
% 0.37/0.59  (define @t143 () (@quantifiers_skolemize @t59 2))
% 0.37/0.59  (define @t144 () (tptp.in @t139 (tptp.binintersect @t140 @t143)))
% 0.37/0.59  (define @t145 () (not @t144))
% 0.37/0.59  (define @t146 () (not @t142))
% 0.37/0.59  (define @t147 () (tptp.in @t139 @t141))
% 0.37/0.59  (define @t148 () (not @t147))
% 0.37/0.59  (define @t149 () (tptp.powerset @t141))
% 0.37/0.59  (define @t150 () (tptp.in @t143 @t149))
% 0.37/0.59  (define @t151 () (not @t150))
% 0.37/0.59  (define @t152 () (tptp.in @t140 @t149))
% 0.37/0.59  (define @t153 () (not @t152))
% 0.37/0.59  (define @t154 () (or @t153 @t151 @t148 @t146 @t145))
% 0.37/0.59  (define @t155 () (@list true))
% 0.37/0.59  (define @t156 () (@list @t154))
% 0.37/0.59  (define @t157 () (tptp.in @t139 @t140))
% 0.37/0.59  (define @t158 () (not @t157))
% 0.37/0.59  (define @t159 () (or @t146 @t158))
% 0.37/0.59  (define @t160 () (or @t153 @t151 @t148 @t157 @t145))
% 0.37/0.59  (define @t161 () (not @t160))
% 0.37/0.59  (define @t162 () (forall @t69 @t66))
% 0.37/0.59  (assume @p1 @t12)
% 0.37/0.59  (assume @p2 @t35)
% 0.37/0.59  (assume @p3 @t46)
% 0.37/0.59  (assume @p4 true)
% 0.37/0.59  (step @p5 :rule refl :args (@t59))
% 0.37/0.59  (step @p6 :rule aci_norm :args ((= @t68 @t66)))
% 0.37/0.59  (step @p7 :rule cong :premises (@p6) :args (@t70))
% 0.37/0.59  (step @p8 :rule quant-merge-prenex :args ((= (forall @t33 @t72) @t70)))
% 0.37/0.59  (step @p9 :rule alpha_equiv :args (@t73 (@list @t60 @t61) (@list @t13 @t74)))
% 0.37/0.59  (step @p10 :rule refl :args (@t56))
% 0.37/0.59  (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t75))
% 0.37/0.59  (step @p12 :rule quant-miniscope-or :args ((= @t72 @t75)))
% 0.37/0.59  (step @p13 :rule trans :premises (@p12 @p11))
% 0.37/0.59  (step @p14 :rule symm :premises (@p13))
% 0.37/0.59  (step @p15 :rule cong :premises (@p14) :args ((forall @t33 (or @t56 @t84))))
% 0.37/0.59  (step @p16 :rule trans :premises (@p15 @p8))
% 0.37/0.59  (step @p17 :rule trans :premises (@p16 @p7))
% 0.37/0.59  (step @p18 :rule refl :args (@t84))
% 0.37/0.59  (step @p19 :rule refl :args ((tptp.in @t14 @t24)))
% 0.37/0.59  (step @p20 :rule refl :args (@t53))
% 0.37/0.59  (step @p21 :rule refl :args (@t14))
% 0.37/0.59  (step @p22 :rule cong :premises (@p21 @p20) :args (@t55))
% 0.37/0.59  (step @p23 :rule trans :premises (@p22 @p19))
% 0.37/0.59  (step @p24 :rule refl :args (@t30))
% 0.37/0.59  (step @p25 :rule ho_cong :premises (@p24 @p20))
% 0.37/0.59  (step @p26 :rule cong :premises (@p25 @p23) :args ((= (_ @t30 @t53) @t55)))
% 0.37/0.59  (step @p27 :rule symm :premises (@p26))
% 0.37/0.59  (step @p28 :rule refl :args (@t31))
% 0.37/0.59  (step @p29 :rule eq_resolve :premises (@p28 @p27))
% 0.37/0.59  (step @p30 :rule refl :args (@t24))
% 0.37/0.59  (step @p31 :rule cong :premises (@p30 @p20) :args ((= @t24 @t53)))
% 0.37/0.59  (step @p32 :rule symm :premises (@p31))
% 0.37/0.59  (step @p33 :rule eq_resolve :premises (@p30 @p32))
% 0.37/0.59  (step @p34 :rule ho_cong :premises (@p24 @p33))
% 0.37/0.59  (step @p35 :rule trans :premises (@p34 @p29))
% 0.37/0.59  (step @p36 :rule cong :premises (@p35) :args (@t85))
% 0.37/0.59  (step @p37 :rule nary_cong :premises (@p36 @p18) :args (@t86))
% 0.37/0.59  (step @p38 :rule cong :premises (@p37) :args ((forall @t33 @t86)))
% 0.37/0.59  (step @p39 :rule trans :premises (@p38 @p17))
% 0.37/0.59  (step @p40 :rule bool-impl-elim :args (@t31 @t84))
% 0.37/0.59  (step @p41 :rule cong :premises (@p40) :args ((forall @t33 (=> @t31 @t84))))
% 0.37/0.59  (step @p42 :rule trans :premises (@p41 @p39))
% 0.37/0.59  (step @p43 :rule aci_norm :args ((= @t88 @t82)))
% 0.37/0.59  (step @p44 :rule cong :premises (@p43) :args (@t89))
% 0.37/0.59  (step @p45 :rule quant-merge-prenex :args ((= (forall @t28 @t91) @t89)))
% 0.37/0.59  (step @p46 :rule alpha_equiv :args (@t92 (@list @t74) @t93))
% 0.37/0.59  (step @p47 :rule refl :args (@t81))
% 0.37/0.59  (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t94))
% 0.37/0.59  (step @p49 :rule quant-miniscope-or :args ((= @t91 @t94)))
% 0.37/0.59  (step @p50 :rule trans :premises (@p49 @p48))
% 0.37/0.59  (step @p51 :rule symm :premises (@p50))
% 0.37/0.59  (step @p52 :rule cong :premises (@p51) :args ((forall @t28 (or @t81 @t100))))
% 0.37/0.59  (step @p53 :rule trans :premises (@p52 @p45))
% 0.37/0.59  (step @p54 :rule trans :premises (@p53 @p44))
% 0.37/0.59  (step @p55 :rule refl :args (@t100))
% 0.37/0.59  (step @p56 :rule refl :args ((tptp.in @t13 @t24)))
% 0.37/0.59  (step @p57 :rule refl :args (@t13))
% 0.37/0.59  (step @p58 :rule cong :premises (@p57 @p20) :args (@t80))
% 0.37/0.59  (step @p59 :rule trans :premises (@p58 @p56))
% 0.37/0.59  (step @p60 :rule refl :args (@t25))
% 0.37/0.59  (step @p61 :rule ho_cong :premises (@p60 @p20))
% 0.37/0.59  (step @p62 :rule cong :premises (@p61 @p59) :args ((= (_ @t25 @t53) @t80)))
% 0.37/0.59  (step @p63 :rule symm :premises (@p62))
% 0.37/0.59  (step @p64 :rule refl :args (@t26))
% 0.37/0.59  (step @p65 :rule eq_resolve :premises (@p64 @p63))
% 0.37/0.59  (step @p66 :rule ho_cong :premises (@p60 @p33))
% 0.37/0.59  (step @p67 :rule trans :premises (@p66 @p65))
% 0.37/0.59  (step @p68 :rule cong :premises (@p67) :args (@t101))
% 0.37/0.59  (step @p69 :rule nary_cong :premises (@p68 @p55) :args (@t102))
% 0.37/0.59  (step @p70 :rule cong :premises (@p69) :args ((forall @t28 @t102)))
% 0.37/0.59  (step @p71 :rule trans :premises (@p70 @p54))
% 0.37/0.59  (step @p72 :rule bool-impl-elim :args (@t26 @t100))
% 0.37/0.59  (step @p73 :rule cong :premises (@p72) :args ((forall @t28 (=> @t26 @t100))))
% 0.37/0.59  (step @p74 :rule trans :premises (@p73 @p71))
% 0.37/0.59  (step @p75 :rule refl :args ((tptp.in @t2 @t15)))
% 0.37/0.59  (step @p76 :rule refl :args (@t76))
% 0.37/0.59  (step @p77 :rule refl :args (@t2))
% 0.37/0.59  (step @p78 :rule cong :premises (@p77 @p76) :args (@t95))
% 0.37/0.59  (step @p79 :rule trans :premises (@p78 @p75))
% 0.37/0.59  (step @p80 :rule refl :args (@t3))
% 0.37/0.59  (step @p81 :rule ho_cong :premises (@p80 @p76))
% 0.37/0.59  (step @p82 :rule cong :premises (@p81 @p79) :args ((= (_ @t3 @t76) @t95)))
% 0.37/0.59  (step @p83 :rule symm :premises (@p82))
% 0.37/0.59  (step @p84 :rule refl :args (@t16))
% 0.37/0.59  (step @p85 :rule eq_resolve :premises (@p84 @p83))
% 0.37/0.59  (step @p86 :rule refl :args (@t15))
% 0.37/0.59  (step @p87 :rule cong :premises (@p86 @p76) :args ((= @t15 @t76)))
% 0.37/0.59  (step @p88 :rule symm :premises (@p87))
% 0.37/0.59  (step @p89 :rule eq_resolve :premises (@p86 @p88))
% 0.37/0.59  (step @p90 :rule ho_cong :premises (@p80 @p89))
% 0.37/0.59  (step @p91 :rule trans :premises (@p90 @p85))
% 0.37/0.59  (step @p92 :rule cong :premises (@p91) :args (@t17))
% 0.37/0.59  (step @p93 :rule refl :args (@t97))
% 0.37/0.59  (step @p94 :rule refl :args (@t18))
% 0.37/0.59  (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t18 @t97)))
% 0.37/0.59  (step @p96 :rule symm :premises (@p95))
% 0.37/0.59  (step @p97 :rule eq_resolve :premises (@p94 @p96))
% 0.37/0.59  (step @p98 :rule refl :args (@t98))
% 0.37/0.59  (step @p99 :rule refl :args (@t21))
% 0.37/0.59  (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t21 @t98)))
% 0.37/0.59  (step @p101 :rule symm :premises (@p100))
% 0.37/0.59  (step @p102 :rule eq_resolve :premises (@p99 @p101))
% 0.37/0.59  (step @p103 :rule cong :premises (@p102) :args (@t103))
% 0.37/0.59  (step @p104 :rule nary_cong :premises (@p103 @p97 @p92) :args (@t104))
% 0.37/0.59  (step @p105 :rule cong :premises (@p104) :args ((forall @t22 @t104)))
% 0.37/0.59  (step @p106 :rule aci_norm :args ((= (or @t103 (or @t18 @t17)) @t104)))
% 0.37/0.59  (step @p107 :rule refl :args (@t17))
% 0.37/0.59  (step @p108 :rule bool-double-not-elim :args (@t18))
% 0.37/0.59  (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t19) @t17)))
% 0.37/0.59  (step @p110 :rule bool-impl-elim :args (@t19 @t17))
% 0.37/0.59  (step @p111 :rule trans :premises (@p110 @p109))
% 0.37/0.59  (step @p112 :rule refl :args (@t103))
% 0.37/0.59  (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t103 @t20)))
% 0.37/0.59  (step @p114 :rule trans :premises (@p113 @p106))
% 0.37/0.59  (step @p115 :rule bool-impl-elim :args (@t21 @t20))
% 0.37/0.59  (step @p116 :rule trans :premises (@p115 @p114))
% 0.37/0.59  (step @p117 :rule cong :premises (@p116) :args (@t23))
% 0.37/0.59  (step @p118 :rule trans :premises (@p117 @p105))
% 0.37/0.59  (step @p119 :rule refl :args (@t26))
% 0.37/0.59  (step @p120 :rule cong :premises (@p119 @p118) :args (@t27))
% 0.37/0.59  (step @p121 :rule cong :premises (@p120) :args (@t29))
% 0.37/0.59  (step @p122 :rule trans :premises (@p121 @p74))
% 0.37/0.59  (step @p123 :rule refl :args (@t31))
% 0.37/0.59  (step @p124 :rule cong :premises (@p123 @p122) :args (@t32))
% 0.37/0.59  (step @p125 :rule cong :premises (@p124) :args (@t34))
% 0.37/0.59  (step @p126 :rule trans :premises (@p125 @p42))
% 0.37/0.59  (step @p127 :rule refl :args (tptp.binintersectTELcontra))
% 0.37/0.59  (step @p128 :rule cong :premises (@p127 @p126) :args (@t35))
% 0.37/0.59  (step @p129 :rule eq_resolve :premises (@p2 @p128))
% 0.37/0.59  (step @p130 :rule cong :premises (@p129 @p5) :args (@t105))
% 0.37/0.59  (step @p131 :rule refl :args (@t106))
% 0.37/0.59  (step @p132 :rule refl :args (@t4))
% 0.37/0.59  (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t4 @t106)))
% 0.37/0.59  (step @p134 :rule symm :premises (@p133))
% 0.37/0.59  (step @p135 :rule eq_resolve :premises (@p132 @p134))
% 0.37/0.59  (step @p136 :rule cong :premises (@p135) :args (@t5))
% 0.37/0.59  (step @p137 :rule refl :args ((tptp.in @t2 @t8)))
% 0.37/0.59  (step @p138 :rule refl :args (@t107))
% 0.37/0.59  (step @p139 :rule cong :premises (@p77 @p138) :args (@t108))
% 0.37/0.59  (step @p140 :rule trans :premises (@p139 @p137))
% 0.37/0.59  (step @p141 :rule ho_cong :premises (@p80 @p138))
% 0.37/0.59  (step @p142 :rule cong :premises (@p141 @p140) :args ((= (_ @t3 @t107) @t108)))
% 0.37/0.59  (step @p143 :rule symm :premises (@p142))
% 0.37/0.59  (step @p144 :rule refl :args (@t9))
% 0.37/0.59  (step @p145 :rule eq_resolve :premises (@p144 @p143))
% 0.37/0.59  (step @p146 :rule refl :args (@t8))
% 0.37/0.59  (step @p147 :rule cong :premises (@p146 @p138) :args ((= @t8 @t107)))
% 0.37/0.59  (step @p148 :rule symm :premises (@p147))
% 0.37/0.59  (step @p149 :rule eq_resolve :premises (@p146 @p148))
% 0.37/0.59  (step @p150 :rule ho_cong :premises (@p80 @p149))
% 0.37/0.59  (step @p151 :rule trans :premises (@p150 @p145))
% 0.37/0.59  (step @p152 :rule cong :premises (@p151) :args (@t109))
% 0.37/0.59  (step @p153 :rule nary_cong :premises (@p152 @p136) :args (@t110))
% 0.37/0.59  (step @p154 :rule cong :premises (@p153) :args ((forall @t10 @t110)))
% 0.37/0.59  (step @p155 :rule bool-impl-elim :args (@t9 @t5))
% 0.37/0.59  (step @p156 :rule cong :premises (@p155) :args (@t11))
% 0.37/0.59  (step @p157 :rule trans :premises (@p156 @p154))
% 0.37/0.59  (step @p158 :rule refl :args (tptp.setminusER))
% 0.37/0.59  (step @p159 :rule cong :premises (@p158 @p157) :args (@t12))
% 0.37/0.59  (step @p160 :rule eq_resolve :premises (@p1 @p159))
% 0.37/0.59  (step @p161 :rule cong :premises (@p160 @p130) :args (@t111))
% 0.37/0.59  (step @p162 :rule cong :premises (@p161) :args ((not @t111)))
% 0.37/0.59  (step @p163 :rule aci_norm :args ((= @t113 @t57)))
% 0.37/0.59  (step @p164 :rule cong :premises (@p163) :args (@t114))
% 0.37/0.59  (step @p165 :rule quant-merge-prenex :args ((= (forall @t33 @t116) @t114)))
% 0.37/0.59  (step @p166 :rule alpha_equiv :args (@t117 (@list @t47 @t48) (@list @t13 @t118)))
% 0.37/0.59  (step @p167 :rule nary_cong :premises (@p10 @p166) :args (@t119))
% 0.37/0.59  (step @p168 :rule quant-miniscope-or :args ((= @t116 @t119)))
% 0.37/0.59  (step @p169 :rule trans :premises (@p168 @p167))
% 0.37/0.59  (step @p170 :rule symm :premises (@p169))
% 0.37/0.59  (step @p171 :rule cong :premises (@p170) :args ((forall @t33 (or @t56 @t125))))
% 0.37/0.59  (step @p172 :rule trans :premises (@p171 @p165))
% 0.37/0.59  (step @p173 :rule trans :premises (@p172 @p164))
% 0.37/0.59  (step @p174 :rule refl :args (@t125))
% 0.37/0.59  (step @p175 :rule nary_cong :premises (@p36 @p174) :args (@t126))
% 0.37/0.59  (step @p176 :rule cong :premises (@p175) :args ((forall @t33 @t126)))
% 0.37/0.59  (step @p177 :rule trans :premises (@p176 @p173))
% 0.37/0.59  (step @p178 :rule bool-impl-elim :args (@t31 @t125))
% 0.37/0.59  (step @p179 :rule cong :premises (@p178) :args ((forall @t33 (=> @t31 @t125))))
% 0.37/0.59  (step @p180 :rule trans :premises (@p179 @p177))
% 0.37/0.59  (step @p181 :rule aci_norm :args ((= @t128 @t123)))
% 0.37/0.59  (step @p182 :rule cong :premises (@p181) :args (@t129))
% 0.37/0.59  (step @p183 :rule quant-merge-prenex :args ((= (forall @t28 @t131) @t129)))
% 0.37/0.59  (step @p184 :rule alpha_equiv :args (@t132 (@list @t118) @t93))
% 0.37/0.59  (step @p185 :rule nary_cong :premises (@p47 @p184) :args (@t133))
% 0.37/0.59  (step @p186 :rule quant-miniscope-or :args ((= @t131 @t133)))
% 0.37/0.59  (step @p187 :rule trans :premises (@p186 @p185))
% 0.37/0.59  (step @p188 :rule symm :premises (@p187))
% 0.37/0.59  (step @p189 :rule cong :premises (@p188) :args ((forall @t28 (or @t81 @t135))))
% 0.37/0.59  (step @p190 :rule trans :premises (@p189 @p183))
% 0.37/0.59  (step @p191 :rule trans :premises (@p190 @p182))
% 0.37/0.59  (step @p192 :rule refl :args (@t135))
% 0.37/0.59  (step @p193 :rule nary_cong :premises (@p68 @p192) :args (@t136))
% 0.37/0.59  (step @p194 :rule cong :premises (@p193) :args ((forall @t28 @t136)))
% 0.37/0.59  (step @p195 :rule trans :premises (@p194 @p191))
% 0.37/0.59  (step @p196 :rule bool-impl-elim :args (@t26 @t135))
% 0.37/0.59  (step @p197 :rule cong :premises (@p196) :args ((forall @t28 (=> @t26 @t135))))
% 0.37/0.59  (step @p198 :rule trans :premises (@p197 @p195))
% 0.37/0.59  (step @p199 :rule refl :args ((tptp.in @t2 @t36)))
% 0.37/0.59  (step @p200 :rule refl :args (@t50))
% 0.37/0.59  (step @p201 :rule cong :premises (@p77 @p200) :args (@t134))
% 0.37/0.59  (step @p202 :rule trans :premises (@p201 @p199))
% 0.37/0.59  (step @p203 :rule ho_cong :premises (@p80 @p200))
% 0.37/0.59  (step @p204 :rule cong :premises (@p203 @p202) :args ((= (_ @t3 @t50) @t134)))
% 0.37/0.59  (step @p205 :rule symm :premises (@p204))
% 0.37/0.59  (step @p206 :rule refl :args (@t37))
% 0.37/0.59  (step @p207 :rule eq_resolve :premises (@p206 @p205))
% 0.37/0.59  (step @p208 :rule refl :args (@t36))
% 0.37/0.59  (step @p209 :rule cong :premises (@p208 @p200) :args ((= @t36 @t50)))
% 0.37/0.59  (step @p210 :rule symm :premises (@p209))
% 0.37/0.59  (step @p211 :rule eq_resolve :premises (@p208 @p210))
% 0.37/0.59  (step @p212 :rule ho_cong :premises (@p80 @p211))
% 0.37/0.59  (step @p213 :rule trans :premises (@p212 @p207))
% 0.37/0.59  (step @p214 :rule cong :premises (@p213) :args (@t137))
% 0.37/0.59  (step @p215 :rule nary_cong :premises (@p103 @p214 @p92) :args (@t138))
% 0.37/0.59  (step @p216 :rule cong :premises (@p215) :args ((forall @t22 @t138)))
% 0.37/0.59  (step @p217 :rule aci_norm :args ((= (or @t103 (or @t137 @t17)) @t138)))
% 0.37/0.59  (step @p218 :rule bool-impl-elim :args (@t37 @t17))
% 0.37/0.59  (step @p219 :rule nary_cong :premises (@p112 @p218) :args ((or @t103 @t38)))
% 0.37/0.59  (step @p220 :rule trans :premises (@p219 @p217))
% 0.37/0.59  (step @p221 :rule bool-impl-elim :args (@t21 @t38))
% 0.37/0.59  (step @p222 :rule trans :premises (@p221 @p220))
% 0.37/0.59  (step @p223 :rule cong :premises (@p222) :args (@t39))
% 0.37/0.59  (step @p224 :rule trans :premises (@p223 @p216))
% 0.37/0.59  (step @p225 :rule cong :premises (@p119 @p224) :args (@t40))
% 0.37/0.59  (step @p226 :rule cong :premises (@p225) :args (@t41))
% 0.37/0.59  (step @p227 :rule trans :premises (@p226 @p198))
% 0.37/0.59  (step @p228 :rule cong :premises (@p123 @p227) :args (@t42))
% 0.37/0.59  (step @p229 :rule cong :premises (@p228) :args (@t43))
% 0.37/0.59  (step @p230 :rule trans :premises (@p229 @p180))
% 0.37/0.59  (step @p231 :rule cong :premises (@p127 @p230) :args (@t44))
% 0.37/0.59  (step @p232 :rule cong :premises (@p158 @p231) :args (@t45))
% 0.37/0.59  (step @p233 :rule cong :premises (@p232) :args (@t46))
% 0.37/0.59  (step @p234 :rule trans :premises (@p233 @p162))
% 0.37/0.59  (step @p235 :rule eq_resolve :premises (@p3 @p234))
% 0.37/0.59  (step @p236 :rule not_implies_elim2 :premises (@p235))
% 0.37/0.59  (step @p237 :rule not_implies_elim1 :premises (@p236))
% 0.37/0.59  (step @p238 :rule not_implies_elim1 :premises (@p235))
% 0.37/0.59  (step @p239 :rule instantiate :premises (@p238) :args ((@list @t141 @t140 @t139)))
% 0.37/0.59  (step @p240 :rule not_implies_elim2 :premises (@p236))
% 0.37/0.59  (step @p241 :rule skolemize :premises (@p240))
% 0.37/0.59  (step @p242 :rule bool-double-not-elim :args (@t142))
% 0.37/0.59  (step @p243 :rule refl :args (@t154))
% 0.37/0.59  (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or @t154 (not @t146))))
% 0.37/0.59  (step @p245 :rule cnf_or_neg :args (@t154 3))
% 0.37/0.59  (step @p246 :rule eq_resolve :premises (@p245 @p244))
% 0.37/0.59  (step @p247 :rule reordering :premises (@p246) :args ((or @t142 @t154)))
% 0.37/0.59  (step @p248 :rule chain_m_resolution :premises (@p247 @p241) :args (@t142 @t155 @t156))
% 0.37/0.59  (step @p249 :rule cnf_or_pos :args (@t159))
% 0.37/0.59  (step @p250 :rule reordering :premises (@p249) :args ((or @t146 @t158 (not @t159))))
% 0.37/0.59  (step @p251 :rule chain_m_resolution :premises (@p250 @p248 @p239) :args (@t158 (@list false false) (@list @t142 @t159)))
% 0.37/0.59  (step @p252 :rule bool-double-not-elim :args (@t144))
% 0.37/0.59  (step @p253 :rule nary_cong :premises (@p243 @p252) :args ((or @t154 (not @t145))))
% 0.37/0.59  (step @p254 :rule cnf_or_neg :args (@t154 4))
% 0.37/0.59  (step @p255 :rule eq_resolve :premises (@p254 @p253))
% 0.37/0.59  (step @p256 :rule reordering :premises (@p255) :args ((or @t144 @t154)))
% 0.37/0.59  (step @p257 :rule chain_m_resolution :premises (@p256 @p241) :args (@t144 @t155 @t156))
% 0.37/0.59  (step @p258 :rule bool-double-not-elim :args (@t147))
% 0.37/0.59  (step @p259 :rule nary_cong :premises (@p243 @p258) :args ((or @t154 (not @t148))))
% 0.37/0.59  (step @p260 :rule cnf_or_neg :args (@t154 2))
% 0.37/0.59  (step @p261 :rule eq_resolve :premises (@p260 @p259))
% 0.37/0.59  (step @p262 :rule reordering :premises (@p261) :args ((or @t147 @t154)))
% 0.37/0.59  (step @p263 :rule chain_m_resolution :premises (@p262 @p241) :args (@t147 @t155 @t156))
% 0.37/0.59  (step @p264 :rule bool-double-not-elim :args (@t150))
% 0.37/0.59  (step @p265 :rule nary_cong :premises (@p243 @p264) :args ((or @t154 (not @t151))))
% 0.37/0.59  (step @p266 :rule cnf_or_neg :args (@t154 1))
% 0.37/0.59  (step @p267 :rule eq_resolve :premises (@p266 @p265))
% 0.37/0.59  (step @p268 :rule reordering :premises (@p267) :args ((or @t150 @t154)))
% 0.37/0.59  (step @p269 :rule chain_m_resolution :premises (@p268 @p241) :args (@t150 @t155 @t156))
% 0.37/0.59  (step @p270 :rule bool-double-not-elim :args (@t152))
% 0.37/0.59  (step @p271 :rule nary_cong :premises (@p243 @p270) :args ((or @t154 (not @t153))))
% 0.37/0.59  (step @p272 :rule cnf_or_neg :args (@t154 0))
% 0.37/0.59  (step @p273 :rule eq_resolve :premises (@p272 @p271))
% 0.37/0.59  (step @p274 :rule reordering :premises (@p273) :args ((or @t152 @t154)))
% 0.37/0.59  (step @p275 :rule chain_m_resolution :premises (@p274 @p241) :args (@t152 @t155 @t156))
% 0.37/0.59  (step @p276 :rule cnf_or_pos :args (@t160))
% 0.37/0.59  (step @p277 :rule reordering :premises (@p276) :args ((or @t153 @t151 @t148 @t145 @t157 @t161)))
% 0.37/0.59  (step @p278 :rule chain_m_resolution :premises (@p277 @p275 @p269 @p263 @p257 @p251) :args (@t161 (@list false false false false true) (@list @t152 @t150 @t147 @t144 @t157)))
% 0.37/0.59  (assume-push @p285 @t162)
% 0.37/0.59  (step @p280 :rule instantiate :premises (@p237) :args ((@list @t141 @t140 @t143 @t139)))
% 0.37/0.59  (step-pop @p286 :rule scope :premises (@p280))
% 0.37/0.59  (step @p281 :rule process_scope :premises (@p286) :args (@t160))
% 0.37/0.59  (step @p283 :rule implies_elim :premises (@p281))
% 0.37/0.59  (step @p284 false :rule chain_m_resolution :premises (@p283 @p278 @p237) :args (false (@list true false) (@list @t160 @t162)))
% 0.37/0.59  )
% 0.37/0.59  % SZS output end Proof
% 0.37/0.59  % cvc5 exiting
%------------------------------------------------------------------------------