↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU359+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:51:30 AM UTC 2026

% Result   : Theorem 0.45s 0.63s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU359+1 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n013.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 17:01:15 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.45/0.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.45/0.63  % SZS status Theorem
% 0.45/0.63  % SZS output start Proof
% 0.45/0.63  (
% 0.45/0.63  (declare-sort $$unsorted 0)
% 0.45/0.63  (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.one_sorted_str (-> $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.rel_str (-> $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.element (-> $$unsorted $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.the_carrier (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.45/0.63  (define @t1 () (@var "D" $$unsorted))
% 0.45/0.63  (define @t2 () (@var "C" $$unsorted))
% 0.45/0.63  (define @t3 () (@var "A" $$unsorted))
% 0.45/0.63  (define @t4 () (tptp.related @t3 @t2 @t1))
% 0.45/0.63  (define @t5 () (@var "B" $$unsorted))
% 0.45/0.63  (define @t6 () (tptp.relstr_set_smaller @t3 @t5 @t1))
% 0.45/0.63  (define @t7 () (=> @t6 @t4))
% 0.45/0.63  (define @t8 () (tptp.the_carrier @t3))
% 0.45/0.63  (define @t9 () (tptp.element @t1 @t8))
% 0.45/0.63  (define @t10 () (@list @t1))
% 0.45/0.63  (define @t11 () (forall @t10 (=> @t9 @t7)))
% 0.45/0.63  (define @t12 () (tptp.relstr_set_smaller @t3 @t5 @t2))
% 0.45/0.63  (define @t13 () (and @t12 @t11))
% 0.45/0.63  (define @t14 () (tptp.join_on_relstr @t3 @t5))
% 0.45/0.63  (define @t15 () (= @t2 @t14))
% 0.45/0.63  (define @t16 () (= @t15 @t13))
% 0.45/0.63  (define @t17 () (tptp.ex_sup_of_relstr_set @t3 @t5))
% 0.45/0.63  (define @t18 () (=> @t17 @t16))
% 0.45/0.63  (define @t19 () (tptp.element @t2 @t8))
% 0.45/0.63  (define @t20 () (=> @t19 @t18))
% 0.45/0.63  (define @t21 () (@list @t5 @t2))
% 0.45/0.63  (define @t22 () (forall @t21 @t20))
% 0.45/0.63  (define @t23 () (tptp.rel_str @t3))
% 0.45/0.63  (define @t24 () (=> @t23 @t22))
% 0.45/0.63  (define @t25 () (@list @t3))
% 0.45/0.63  (define @t26 () (forall @t25 @t24))
% 0.45/0.63  (define @t27 () (tptp.one_sorted_str @t3))
% 0.45/0.63  (define @t28 () (@list @t5))
% 0.45/0.63  (define @t29 () (and @t19 @t12 @t11))
% 0.45/0.63  (define @t30 () (@list @t2))
% 0.45/0.63  (define @t31 () (exists @t30 @t29))
% 0.45/0.63  (define @t32 () (= @t17 @t31))
% 0.45/0.63  (define @t33 () (forall @t28 @t32))
% 0.45/0.63  (define @t34 () (tptp.antisymmetric_relstr @t3))
% 0.45/0.63  (define @t35 () (and @t34 @t23))
% 0.45/0.63  (define @t36 () (=> @t35 @t33))
% 0.45/0.63  (define @t37 () (forall @t25 @t36))
% 0.45/0.63  (define @t38 () (tptp.ex_sup_of_relstr_set @t3 @t2))
% 0.45/0.63  (define @t39 () (= @t5 (tptp.join_on_relstr @t3 @t2)))
% 0.45/0.63  (define @t40 () (and @t39 @t38))
% 0.45/0.63  (define @t41 () (tptp.related @t3 @t5 @t1))
% 0.45/0.63  (define @t42 () (tptp.relstr_set_smaller @t3 @t2 @t1))
% 0.45/0.63  (define @t43 () (=> @t42 @t41))
% 0.45/0.63  (define @t44 () (forall @t10 (=> @t9 @t43)))
% 0.45/0.63  (define @t45 () (tptp.relstr_set_smaller @t3 @t2 @t5))
% 0.45/0.63  (define @t46 () (and @t45 @t44))
% 0.45/0.63  (define @t47 () (=> @t46 @t40))
% 0.45/0.63  (define @t48 () (=> @t40 @t46))
% 0.45/0.63  (define @t49 () (and @t48 @t47))
% 0.45/0.63  (define @t50 () (forall @t30 @t49))
% 0.45/0.63  (define @t51 () (tptp.element @t5 @t8))
% 0.45/0.63  (define @t52 () (=> @t51 @t50))
% 0.45/0.63  (define @t53 () (forall @t28 @t52))
% 0.45/0.63  (define @t54 () (=> @t35 @t53))
% 0.45/0.63  (define @t55 () (forall @t25 @t54))
% 0.45/0.63  (define @t56 () (not @t55))
% 0.45/0.63  (define @t57 () (@var "BOUND_VARIABLE_7709" $$unsorted))
% 0.45/0.63  (define @t58 () (@var "BOUND_VARIABLE_7703" $$unsorted))
% 0.45/0.63  (define @t59 () (not @t9))
% 0.45/0.63  (define @t60 () (@var "BOUND_VARIABLE_7707" $$unsorted))
% 0.45/0.63  (define @t61 () (@var "BOUND_VARIABLE_7705" $$unsorted))
% 0.45/0.63  (define @t62 () (and (or (not (= @t58 (tptp.join_on_relstr @t3 @t61))) (not (tptp.ex_sup_of_relstr_set @t3 @t61)) (and (tptp.relstr_set_smaller @t3 @t61 @t58) (or (not (tptp.element @t60 @t8)) (not (tptp.relstr_set_smaller @t3 @t61 @t60)) (tptp.related @t3 @t58 @t60)))) (or (not (tptp.relstr_set_smaller @t3 @t57 @t58)) (not (forall @t10 (or @t59 (not (tptp.relstr_set_smaller @t3 @t57 @t1)) (tptp.related @t3 @t58 @t1)))) (and (= @t58 (tptp.join_on_relstr @t3 @t57)) (tptp.ex_sup_of_relstr_set @t3 @t57)))))
% 0.45/0.63  (define @t63 () (not (tptp.element @t58 @t8)))
% 0.45/0.63  (define @t64 () (not @t23))
% 0.45/0.63  (define @t65 () (not @t34))
% 0.45/0.63  (define @t66 () (or @t65 @t64 @t63 @t62))
% 0.45/0.63  (define @t67 () (@list @t3 @t58 @t61 @t60 @t57))
% 0.45/0.63  (define @t68 () (forall @t67 @t66))
% 0.45/0.63  (define @t69 () (@quantifiers_skolemize @t68 1))
% 0.45/0.63  (define @t70 () (@quantifiers_skolemize @t68 4))
% 0.45/0.63  (define @t71 () (@quantifiers_skolemize @t68 0))
% 0.45/0.63  (define @t72 () (tptp.relstr_set_smaller @t71 @t70 @t69))
% 0.45/0.63  (define @t73 () (tptp.ex_sup_of_relstr_set @t71 @t70))
% 0.45/0.63  (define @t74 () (= @t69 (tptp.join_on_relstr @t71 @t70)))
% 0.45/0.63  (define @t75 () (and @t74 @t73))
% 0.45/0.63  (define @t76 () (tptp.related @t71 @t69 @t1))
% 0.45/0.63  (define @t77 () (not (tptp.relstr_set_smaller @t71 @t70 @t1)))
% 0.45/0.63  (define @t78 () (tptp.the_carrier @t71))
% 0.45/0.63  (define @t79 () (not (tptp.element @t1 @t78)))
% 0.45/0.63  (define @t80 () (forall @t10 (or @t79 @t77 @t76)))
% 0.45/0.63  (define @t81 () (not @t80))
% 0.45/0.63  (define @t82 () (not @t72))
% 0.45/0.63  (define @t83 () (or @t82 @t81 @t75))
% 0.45/0.63  (define @t84 () (or @t63 @t62))
% 0.45/0.63  (define @t85 () (or @t65 @t64 @t84))
% 0.45/0.63  (define @t86 () (forall @t67 @t85))
% 0.45/0.63  (define @t87 () (@list @t58 @t61 @t60 @t57))
% 0.45/0.63  (define @t88 () (forall @t87 @t85))
% 0.45/0.63  (define @t89 () (forall @t87 @t84))
% 0.45/0.63  (define @t90 () (@var "BOUND_VARIABLE_7681" $$unsorted))
% 0.45/0.63  (define @t91 () (@var "BOUND_VARIABLE_7665" $$unsorted))
% 0.45/0.63  (define @t92 () (@var "BOUND_VARIABLE_7663" $$unsorted))
% 0.45/0.63  (define @t93 () (or @t65 @t64 @t89))
% 0.45/0.63  (define @t94 () (or (not (tptp.relstr_set_smaller @t3 @t90 @t5)) (not (forall @t10 (or @t59 (not (tptp.relstr_set_smaller @t3 @t90 @t1)) @t41))) (and (= @t5 (tptp.join_on_relstr @t3 @t90)) (tptp.ex_sup_of_relstr_set @t3 @t90))))
% 0.45/0.63  (define @t95 () (or (not (= @t5 (tptp.join_on_relstr @t3 @t92))) (not (tptp.ex_sup_of_relstr_set @t3 @t92)) (and (tptp.relstr_set_smaller @t3 @t92 @t5) (or (not (tptp.element @t91 @t8)) (not (tptp.relstr_set_smaller @t3 @t92 @t91)) (tptp.related @t3 @t5 @t91)))))
% 0.45/0.63  (define @t96 () (and @t95 @t94))
% 0.45/0.63  (define @t97 () (not @t51))
% 0.45/0.63  (define @t98 () (or @t97 @t96))
% 0.45/0.63  (define @t99 () (forall (@list @t5 @t92 @t91 @t90) @t98))
% 0.45/0.63  (define @t100 () (or @t65 @t64 @t99))
% 0.45/0.63  (define @t101 () (or @t65 @t64))
% 0.45/0.63  (define @t102 () (not @t35))
% 0.45/0.63  (define @t103 () (@list @t92 @t91 @t90))
% 0.45/0.63  (define @t104 () (forall @t103 @t98))
% 0.45/0.63  (define @t105 () (forall (@list @t90) @t94))
% 0.45/0.63  (define @t106 () (@var "BOUND_VARIABLE_7628" $$unsorted))
% 0.45/0.63  (define @t107 () (@list @t106))
% 0.45/0.63  (define @t108 () (forall @t103 @t94))
% 0.45/0.63  (define @t109 () (forall (@list @t92 @t91) @t95))
% 0.45/0.63  (define @t110 () (@var "BOUND_VARIABLE_7645" $$unsorted))
% 0.45/0.63  (define @t111 () (@var "BOUND_VARIABLE_7612" $$unsorted))
% 0.45/0.63  (define @t112 () (forall @t103 @t95))
% 0.45/0.63  (define @t113 () (and @t112 @t108))
% 0.45/0.63  (define @t114 () (forall @t103 @t96))
% 0.45/0.63  (define @t115 () (or @t97 @t114))
% 0.45/0.63  (define @t116 () (forall (@list @t106) (or (not (tptp.relstr_set_smaller @t3 @t106 @t5)) (not (forall @t10 (or @t59 (not (tptp.relstr_set_smaller @t3 @t106 @t1)) @t41))) (and (= @t5 (tptp.join_on_relstr @t3 @t106)) (tptp.ex_sup_of_relstr_set @t3 @t106)))))
% 0.45/0.63  (define @t117 () (or (not (tptp.element @t110 @t8)) (not (tptp.relstr_set_smaller @t3 @t111 @t110)) (tptp.related @t3 @t5 @t110)))
% 0.45/0.63  (define @t118 () (tptp.relstr_set_smaller @t3 @t111 @t5))
% 0.45/0.63  (define @t119 () (and @t118 @t117))
% 0.45/0.63  (define @t120 () (not (tptp.ex_sup_of_relstr_set @t3 @t111)))
% 0.45/0.63  (define @t121 () (not (= @t5 (tptp.join_on_relstr @t3 @t111))))
% 0.45/0.63  (define @t122 () (or @t121 @t120 @t119))
% 0.45/0.63  (define @t123 () (forall (@list @t111 @t110) @t122))
% 0.45/0.63  (define @t124 () (and @t123 @t116))
% 0.45/0.63  (define @t125 () (@list @t110))
% 0.45/0.63  (define @t126 () (forall @t125 @t122))
% 0.45/0.63  (define @t127 () (@list @t111))
% 0.45/0.63  (define @t128 () (forall @t125 @t117))
% 0.45/0.63  (define @t129 () (forall @t125 @t118))
% 0.45/0.63  (define @t130 () (and @t129 @t128))
% 0.45/0.63  (define @t131 () (forall @t125 @t119))
% 0.45/0.63  (define @t132 () (or @t121 @t120 @t131))
% 0.45/0.63  (define @t133 () (forall @t127 (or @t121 @t120 (and @t118 (forall @t10 (or @t59 (not (tptp.relstr_set_smaller @t3 @t111 @t1)) @t41))))))
% 0.45/0.63  (define @t134 () (not @t42))
% 0.45/0.63  (define @t135 () (or @t59 @t134 @t41))
% 0.45/0.63  (define @t136 () (forall @t10 @t135))
% 0.45/0.63  (define @t137 () (not @t136))
% 0.45/0.63  (define @t138 () (not @t45))
% 0.45/0.63  (define @t139 () (or @t138 @t137 @t40))
% 0.45/0.63  (define @t140 () (forall @t30 @t139))
% 0.45/0.63  (define @t141 () (@list @t2))
% 0.45/0.63  (define @t142 () (and @t45 @t136))
% 0.45/0.63  (define @t143 () (not @t38))
% 0.45/0.63  (define @t144 () (not @t39))
% 0.45/0.63  (define @t145 () (or @t144 @t143 @t142))
% 0.45/0.63  (define @t146 () (forall @t30 @t145))
% 0.45/0.63  (define @t147 () (and @t146 @t140))
% 0.45/0.63  (define @t148 () (and (=> @t40 @t142) (=> @t142 @t40)))
% 0.45/0.63  (define @t149 () (tptp.element @t69 @t78))
% 0.45/0.63  (define @t150 () (@quantifiers_skolemize @t68 3))
% 0.45/0.63  (define @t151 () (tptp.related @t71 @t69 @t150))
% 0.45/0.63  (define @t152 () (@quantifiers_skolemize @t68 2))
% 0.45/0.63  (define @t153 () (tptp.relstr_set_smaller @t71 @t152 @t150))
% 0.45/0.63  (define @t154 () (not @t153))
% 0.45/0.63  (define @t155 () (tptp.element @t150 @t78))
% 0.45/0.63  (define @t156 () (not @t155))
% 0.45/0.63  (define @t157 () (or @t156 @t154 @t151))
% 0.45/0.63  (define @t158 () (tptp.relstr_set_smaller @t71 @t152 @t69))
% 0.45/0.63  (define @t159 () (and @t158 @t157))
% 0.45/0.63  (define @t160 () (tptp.ex_sup_of_relstr_set @t71 @t152))
% 0.45/0.63  (define @t161 () (not @t160))
% 0.45/0.63  (define @t162 () (tptp.join_on_relstr @t71 @t152))
% 0.45/0.63  (define @t163 () (= @t69 @t162))
% 0.45/0.63  (define @t164 () (not @t163))
% 0.45/0.63  (define @t165 () (or @t164 @t161 @t159))
% 0.45/0.63  (define @t166 () (and @t165 @t83))
% 0.45/0.63  (define @t167 () (not @t149))
% 0.45/0.63  (define @t168 () (tptp.rel_str @t71))
% 0.45/0.63  (define @t169 () (not @t168))
% 0.45/0.63  (define @t170 () (tptp.antisymmetric_relstr @t71))
% 0.45/0.63  (define @t171 () (not @t170))
% 0.45/0.63  (define @t172 () (or @t171 @t169 @t167 @t166))
% 0.45/0.63  (define @t173 () (@list true))
% 0.45/0.63  (define @t174 () (@list @t172))
% 0.45/0.63  (define @t175 () (or @t167 @t82 @t81))
% 0.45/0.63  (define @t176 () (and @t72 @t80))
% 0.45/0.63  (define @t177 () (tptp.related @t71 @t2 @t1))
% 0.45/0.63  (define @t178 () (not (tptp.element @t2 @t78)))
% 0.45/0.63  (define @t179 () (forall @t30 (or @t178 (not (tptp.relstr_set_smaller @t71 @t70 @t2)) (not (forall @t10 (or @t79 @t77 @t177))))))
% 0.45/0.63  (define @t180 () (@var "BOUND_VARIABLE_7573" $$unsorted))
% 0.45/0.63  (define @t181 () (not @t19))
% 0.45/0.63  (define @t182 () (= (tptp.ex_sup_of_relstr_set @t3 @t180) (not (forall @t30 (or @t181 (not (tptp.relstr_set_smaller @t3 @t180 @t2)) (not (forall @t10 (or @t59 (not (tptp.relstr_set_smaller @t3 @t180 @t1)) @t4))))))))
% 0.45/0.63  (define @t183 () (or @t65 @t64 @t182))
% 0.45/0.63  (define @t184 () (@list @t180))
% 0.45/0.63  (define @t185 () (forall @t184 @t183))
% 0.45/0.63  (define @t186 () (forall @t184 @t182))
% 0.45/0.63  (define @t187 () (or @t65 @t64 @t186))
% 0.45/0.63  (define @t188 () (not @t6))
% 0.45/0.63  (define @t189 () (or @t59 @t188 @t4))
% 0.45/0.63  (define @t190 () (forall @t10 @t189))
% 0.45/0.63  (define @t191 () (not @t190))
% 0.45/0.63  (define @t192 () (not @t12))
% 0.45/0.63  (define @t193 () (or @t181 @t192 @t191))
% 0.45/0.63  (define @t194 () (forall @t28 (= @t17 (not (forall @t30 @t193)))))
% 0.45/0.63  (define @t195 () (or @t65 @t64 @t194))
% 0.45/0.63  (define @t196 () (and @t12 @t190))
% 0.45/0.63  (define @t197 () (and @t19 @t12 @t190))
% 0.45/0.63  (define @t198 () (forall @t30 (not @t197)))
% 0.45/0.63  (define @t199 () (not @t198))
% 0.45/0.63  (define @t200 () (not @t179))
% 0.45/0.63  (define @t201 () (= @t73 @t200))
% 0.45/0.63  (define @t202 () (or @t171 @t169 @t201))
% 0.45/0.63  (define @t203 () (@list false false false))
% 0.45/0.63  (define @t204 () (not @t201))
% 0.45/0.63  (define @t205 () (@var "BOUND_VARIABLE_7513" $$unsorted))
% 0.45/0.63  (define @t206 () (@var "BOUND_VARIABLE_7511" $$unsorted))
% 0.45/0.63  (define @t207 () (= (= @t205 (tptp.join_on_relstr @t3 @t206)) (and (tptp.relstr_set_smaller @t3 @t206 @t205) (forall @t10 (or @t59 (not (tptp.relstr_set_smaller @t3 @t206 @t1)) (tptp.related @t3 @t205 @t1))))))
% 0.45/0.63  (define @t208 () (not (tptp.ex_sup_of_relstr_set @t3 @t206)))
% 0.45/0.63  (define @t209 () (not (tptp.element @t205 @t8)))
% 0.45/0.63  (define @t210 () (or @t64 @t209 @t208 @t207))
% 0.45/0.63  (define @t211 () (or @t209 @t208 @t207))
% 0.45/0.63  (define @t212 () (or @t64 @t211))
% 0.45/0.63  (define @t213 () (@list @t3 @t206 @t205))
% 0.45/0.63  (define @t214 () (forall @t213 @t212))
% 0.45/0.63  (define @t215 () (@list @t206 @t205))
% 0.45/0.63  (define @t216 () (forall @t215 @t212))
% 0.45/0.63  (define @t217 () (forall @t215 @t211))
% 0.45/0.63  (define @t218 () (or @t64 @t217))
% 0.45/0.63  (define @t219 () (= @t15 @t196))
% 0.45/0.63  (define @t220 () (not @t17))
% 0.45/0.63  (define @t221 () (or @t181 @t220 @t219))
% 0.45/0.63  (define @t222 () (forall @t21 @t221))
% 0.45/0.63  (define @t223 () (=> @t17 @t219))
% 0.45/0.63  (define @t224 () (= @t74 @t176))
% 0.45/0.63  (define @t225 () (not @t73))
% 0.45/0.63  (define @t226 () (or @t169 @t167 @t225 @t224))
% 0.45/0.63  (define @t227 () (@list true false))
% 0.45/0.63  (define @t228 () (@list @t165))
% 0.45/0.63  (define @t229 () (not (tptp.relstr_set_smaller @t71 @t152 @t1)))
% 0.45/0.63  (define @t230 () (forall @t30 (or @t178 (not (tptp.relstr_set_smaller @t71 @t152 @t2)) (not (forall @t10 (or @t79 @t229 @t177))))))
% 0.45/0.63  (define @t231 () (@quantifiers_skolemize @t230 0))
% 0.45/0.63  (define @t232 () (= @t162 @t231))
% 0.45/0.63  (define @t233 () (forall @t10 (or @t79 @t229 (tptp.related @t71 @t231 @t1))))
% 0.45/0.63  (define @t234 () (tptp.relstr_set_smaller @t71 @t152 @t231))
% 0.45/0.63  (define @t235 () (and @t234 @t233))
% 0.45/0.63  (define @t236 () (= (= @t231 @t162) @t235))
% 0.45/0.63  (define @t237 () (tptp.element @t231 @t78))
% 0.45/0.63  (define @t238 () (not @t237))
% 0.45/0.63  (define @t239 () (or @t169 @t238 @t161 @t236))
% 0.45/0.63  (define @t240 () (forall @t213 @t210))
% 0.45/0.63  (define @t241 () (= @t235 @t232))
% 0.45/0.63  (define @t242 () (or @t169 @t238 @t161 @t241))
% 0.45/0.63  (define @t243 () (@list false))
% 0.45/0.63  (define @t244 () (not @t230))
% 0.45/0.63  (define @t245 () (= @t160 @t244))
% 0.45/0.63  (define @t246 () (or @t171 @t169 @t245))
% 0.45/0.63  (define @t247 () (@list false false))
% 0.45/0.63  (define @t248 () (not @t233))
% 0.45/0.63  (define @t249 () (not @t234))
% 0.45/0.63  (define @t250 () (or @t238 @t249 @t248))
% 0.45/0.63  (define @t251 () (not @t250))
% 0.45/0.63  (define @t252 () (@list @t250))
% 0.45/0.63  (define @t253 () (@list false false false false))
% 0.45/0.63  (define @t254 () (and @t158 (forall @t10 (or @t79 @t229 @t76))))
% 0.45/0.63  (define @t255 () (= @t163 @t254))
% 0.45/0.63  (define @t256 () (or @t169 @t167 @t161 @t255))
% 0.45/0.63  (define @t257 () (not @t151))
% 0.45/0.63  (define @t258 () (@list @t157))
% 0.45/0.63  (define @t259 () (tptp.related @t71 @t231 @t150))
% 0.45/0.63  (define @t260 () (or @t156 @t154 @t259))
% 0.45/0.63  (define @t261 () (not @t259))
% 0.45/0.63  (define @t262 () (not @t232))
% 0.45/0.63  (define @t263 () (and @t163 @t257 @t232))
% 0.45/0.63  (assume @p1 @t26)
% 0.45/0.63  (assume @p2 (forall (@list @t3 @t5) (=> @t23 (tptp.element @t14 @t8))))
% 0.45/0.63  (assume @p3 (forall @t25 (=> @t23 @t27)))
% 0.45/0.63  (assume @p4 true)
% 0.45/0.63  (assume @p5 (exists @t25 @t23))
% 0.45/0.63  (assume @p6 (exists @t25 @t27))
% 0.45/0.63  (assume @p7 (forall @t25 (exists @t28 (tptp.element @t5 @t3))))
% 0.45/0.63  (assume @p8 @t37)
% 0.45/0.63  (assume @p9 @t56)
% 0.45/0.63  (step @p10 :rule bool-double-not-elim :args (@t72))
% 0.45/0.63  (step @p11 :rule refl :args (@t83))
% 0.45/0.63  (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t83 (not @t82))))
% 0.45/0.63  (step @p13 :rule cnf_or_neg :args (@t83 0))
% 0.45/0.63  (step @p14 :rule eq_resolve :premises (@p13 @p12))
% 0.45/0.63  (step @p15 :rule reordering :premises (@p14) :args ((or @t72 @t83)))
% 0.45/0.63  (step @p16 :rule bool-double-not-elim :args (@t80))
% 0.45/0.63  (step @p17 :rule nary_cong :premises (@p11 @p16) :args ((or @t83 (not @t81))))
% 0.45/0.63  (step @p18 :rule cnf_or_neg :args (@t83 1))
% 0.45/0.63  (step @p19 :rule eq_resolve :premises (@p18 @p17))
% 0.45/0.63  (step @p20 :rule reordering :premises (@p19) :args ((or @t80 @t83)))
% 0.45/0.63  (step @p21 :rule cnf_or_neg :args (@t83 2))
% 0.45/0.63  (step @p22 :rule aci_norm :args ((= @t85 @t66)))
% 0.45/0.63  (step @p23 :rule cong :premises (@p22) :args (@t86))
% 0.45/0.63  (step @p24 :rule quant-merge-prenex :args ((= (forall @t25 @t88) @t86)))
% 0.45/0.63  (step @p25 :rule alpha_equiv :args (@t89 (@list @t58 @t61 @t60 @t57) (@list @t5 @t92 @t91 @t90)))
% 0.45/0.63  (step @p26 :rule refl :args (@t64))
% 0.45/0.63  (step @p27 :rule refl :args (@t65))
% 0.45/0.63  (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t93))
% 0.45/0.63  (step @p29 :rule quant-miniscope-or :args ((= @t88 @t93)))
% 0.45/0.63  (step @p30 :rule trans :premises (@p29 @p28))
% 0.45/0.63  (step @p31 :rule symm :premises (@p30))
% 0.45/0.63  (step @p32 :rule cong :premises (@p31) :args ((forall @t25 @t100)))
% 0.45/0.63  (step @p33 :rule trans :premises (@p32 @p24))
% 0.45/0.63  (step @p34 :rule trans :premises (@p33 @p23))
% 0.45/0.63  (step @p35 :rule aci_norm :args ((= (or @t101 @t99) @t100)))
% 0.45/0.63  (step @p36 :rule refl :args (@t99))
% 0.45/0.63  (step @p37 :rule bool-and-de-morgan :args (@t34 @t23 true))
% 0.45/0.63  (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t102 @t99)))
% 0.45/0.63  (step @p39 :rule trans :premises (@p38 @p35))
% 0.45/0.63  (step @p40 :rule bool-impl-elim :args (@t35 @t99))
% 0.45/0.63  (step @p41 :rule trans :premises (@p40 @p39))
% 0.45/0.63  (step @p42 :rule cong :premises (@p41) :args ((forall @t25 (=> @t35 @t99))))
% 0.45/0.63  (step @p43 :rule trans :premises (@p42 @p34))
% 0.45/0.63  (step @p44 :rule quant-merge-prenex :args ((= (forall @t28 @t104) @t99)))
% 0.45/0.63  (step @p45 :rule alpha_equiv :args (@t105 (@list @t90) @t107))
% 0.45/0.63  (step @p46 :rule quant-unused-vars :args ((= @t108 @t105)))
% 0.45/0.63  (step @p47 :rule trans :premises (@p46 @p45))
% 0.45/0.63  (step @p48 :rule alpha_equiv :args (@t109 (@list @t92 @t91) (@list @t111 @t110)))
% 0.45/0.63  (step @p49 :rule quant-unused-vars :args ((= @t112 @t109)))
% 0.45/0.63  (step @p50 :rule trans :premises (@p49 @p48))
% 0.45/0.63  (step @p51 :rule nary_cong :premises (@p50 @p47) :args (@t113))
% 0.45/0.63  (step @p52 :rule quant-miniscope-and :args ((= @t114 @t113)))
% 0.45/0.63  (step @p53 :rule trans :premises (@p52 @p51))
% 0.45/0.63  (step @p54 :rule refl :args (@t97))
% 0.45/0.63  (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t115))
% 0.45/0.63  (step @p56 :rule quant-miniscope-or :args ((= @t104 @t115)))
% 0.45/0.63  (step @p57 :rule trans :premises (@p56 @p55))
% 0.45/0.63  (step @p58 :rule symm :premises (@p57))
% 0.45/0.63  (step @p59 :rule cong :premises (@p58) :args ((forall @t28 (or @t97 @t124))))
% 0.45/0.63  (step @p60 :rule trans :premises (@p59 @p44))
% 0.45/0.63  (step @p61 :rule bool-impl-elim :args (@t51 @t124))
% 0.45/0.63  (step @p62 :rule cong :premises (@p61) :args ((forall @t28 (=> @t51 @t124))))
% 0.45/0.63  (step @p63 :rule trans :premises (@p62 @p60))
% 0.45/0.63  (step @p64 :rule refl :args (@t116))
% 0.45/0.63  (step @p65 :rule quant-merge-prenex :args ((= (forall @t127 @t126) @t123)))
% 0.45/0.63  (step @p66 :rule alpha_equiv :args (@t128 (@list @t110) (@list @t1)))
% 0.45/0.63  (step @p67 :rule quant-unused-vars :args ((= @t129 @t118)))
% 0.45/0.63  (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t130))
% 0.45/0.63  (step @p69 :rule quant-miniscope-and :args ((= @t131 @t130)))
% 0.45/0.63  (step @p70 :rule trans :premises (@p69 @p68))
% 0.45/0.63  (step @p71 :rule refl :args (@t120))
% 0.45/0.63  (step @p72 :rule refl :args (@t121))
% 0.45/0.63  (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args (@t132))
% 0.45/0.63  (step @p74 :rule quant-miniscope-or :args ((= @t126 @t132)))
% 0.45/0.63  (step @p75 :rule trans :premises (@p74 @p73))
% 0.45/0.63  (step @p76 :rule symm :premises (@p75))
% 0.45/0.63  (step @p77 :rule cong :premises (@p76) :args (@t133))
% 0.45/0.63  (step @p78 :rule trans :premises (@p77 @p65))
% 0.45/0.63  (step @p79 :rule nary_cong :premises (@p78 @p64) :args ((and @t133 @t116)))
% 0.45/0.63  (step @p80 :rule alpha_equiv :args (@t140 @t141 @t107))
% 0.45/0.63  (step @p81 :rule alpha_equiv :args (@t146 @t141 (@list @t111)))
% 0.45/0.63  (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t147))
% 0.45/0.63  (step @p83 :rule quant-miniscope-and :args ((= (forall @t30 (and @t145 @t139)) @t147)))
% 0.45/0.63  (step @p84 :rule trans :premises (@p83 @p82))
% 0.45/0.63  (step @p85 :rule trans :premises (@p84 @p79))
% 0.45/0.63  (step @p86 :rule aci_norm :args ((= (or (or @t138 @t137) @t40) @t139)))
% 0.45/0.63  (step @p87 :rule refl :args (@t40))
% 0.45/0.63  (step @p88 :rule bool-and-de-morgan :args (@t45 @t136 true))
% 0.45/0.63  (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t142) @t40)))
% 0.45/0.63  (step @p90 :rule trans :premises (@p89 @p86))
% 0.45/0.63  (step @p91 :rule bool-impl-elim :args (@t142 @t40))
% 0.45/0.63  (step @p92 :rule trans :premises (@p91 @p90))
% 0.45/0.63  (step @p93 :rule aci_norm :args ((= (or (or @t144 @t143) @t142) @t145)))
% 0.45/0.63  (step @p94 :rule refl :args (@t142))
% 0.45/0.63  (step @p95 :rule bool-and-de-morgan :args (@t39 @t38 true))
% 0.45/0.63  (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or (not @t40) @t142)))
% 0.45/0.63  (step @p97 :rule trans :premises (@p96 @p93))
% 0.45/0.63  (step @p98 :rule bool-impl-elim :args (@t40 @t142))
% 0.45/0.63  (step @p99 :rule trans :premises (@p98 @p97))
% 0.45/0.63  (step @p100 :rule nary_cong :premises (@p99 @p92) :args (@t148))
% 0.45/0.63  (step @p101 :rule cong :premises (@p100) :args ((forall @t30 @t148)))
% 0.45/0.63  (step @p102 :rule trans :premises (@p101 @p85))
% 0.45/0.63  (step @p103 :rule refl :args (@t40))
% 0.45/0.63  (step @p104 :rule aci_norm :args ((= (or @t59 (or @t134 @t41)) @t135)))
% 0.45/0.63  (step @p105 :rule bool-impl-elim :args (@t42 @t41))
% 0.45/0.63  (step @p106 :rule refl :args (@t59))
% 0.45/0.63  (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t59 @t43)))
% 0.45/0.63  (step @p108 :rule trans :premises (@p107 @p104))
% 0.45/0.63  (step @p109 :rule bool-impl-elim :args (@t9 @t43))
% 0.45/0.63  (step @p110 :rule trans :premises (@p109 @p108))
% 0.45/0.63  (step @p111 :rule cong :premises (@p110) :args (@t44))
% 0.45/0.63  (step @p112 :rule refl :args (@t45))
% 0.45/0.63  (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t46))
% 0.45/0.63  (step @p114 :rule cong :premises (@p113 @p103) :args (@t47))
% 0.45/0.63  (step @p115 :rule cong :premises (@p103 @p113) :args (@t48))
% 0.45/0.63  (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t49))
% 0.45/0.63  (step @p117 :rule cong :premises (@p116) :args (@t50))
% 0.45/0.63  (step @p118 :rule trans :premises (@p117 @p102))
% 0.45/0.63  (step @p119 :rule refl :args (@t51))
% 0.45/0.63  (step @p120 :rule cong :premises (@p119 @p118) :args (@t52))
% 0.45/0.63  (step @p121 :rule cong :premises (@p120) :args (@t53))
% 0.45/0.63  (step @p122 :rule trans :premises (@p121 @p63))
% 0.45/0.63  (step @p123 :rule refl :args (@t35))
% 0.45/0.63  (step @p124 :rule cong :premises (@p123 @p122) :args (@t54))
% 0.45/0.63  (step @p125 :rule cong :premises (@p124) :args (@t55))
% 0.45/0.63  (step @p126 :rule trans :premises (@p125 @p43))
% 0.45/0.63  (step @p127 :rule cong :premises (@p126) :args (@t56))
% 0.45/0.63  (step @p128 :rule eq_resolve :premises (@p9 @p127))
% 0.45/0.63  (step @p129 :rule skolemize :premises (@p128))
% 0.45/0.63  (step @p130 :rule bool-double-not-elim :args (@t149))
% 0.45/0.63  (step @p131 :rule refl :args (@t172))
% 0.45/0.63  (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t172 (not @t167))))
% 0.45/0.63  (step @p133 :rule cnf_or_neg :args (@t172 2))
% 0.45/0.63  (step @p134 :rule eq_resolve :premises (@p133 @p132))
% 0.45/0.63  (step @p135 :rule reordering :premises (@p134) :args ((or @t149 @t172)))
% 0.45/0.63  (step @p136 :rule chain_m_resolution :premises (@p135 @p129) :args (@t149 @t173 @t174))
% 0.45/0.63  (step @p137 :rule cnf_or_pos :args (@t175))
% 0.45/0.63  (step @p138 :rule reordering :premises (@p137) :args ((or @t167 @t82 @t81 (not @t175))))
% 0.45/0.63  (step @p139 :rule cnf_and_neg :args (@t176))
% 0.45/0.63  (step @p140 :rule reordering :premises (@p139) :args ((or @t82 @t81 @t176)))
% 0.45/0.63  (assume-push @p408 @t179)
% 0.45/0.63  (step @p142 :rule instantiate :premises (@p408) :args ((@list @t69)))
% 0.45/0.63  (step-pop @p409 :rule scope :premises (@p142))
% 0.45/0.63  (step @p143 :rule process_scope :premises (@p409) :args (@t175))
% 0.45/0.63  (step @p145 :rule implies_elim :premises (@p143))
% 0.45/0.63  (step @p146 :rule quant-merge-prenex :args ((= (forall @t25 @t185) (forall (@list @t3 @t180) @t183))))
% 0.45/0.63  (step @p147 :rule alpha_equiv :args (@t186 (@list @t180) (@list @t5)))
% 0.45/0.63  (step @p148 :rule nary_cong :premises (@p27 @p26 @p147) :args (@t187))
% 0.45/0.63  (step @p149 :rule quant-miniscope-or :args ((= @t185 @t187)))
% 0.45/0.63  (step @p150 :rule trans :premises (@p149 @p148))
% 0.45/0.63  (step @p151 :rule symm :premises (@p150))
% 0.45/0.63  (step @p152 :rule cong :premises (@p151) :args ((forall @t25 @t195)))
% 0.45/0.63  (step @p153 :rule trans :premises (@p152 @p146))
% 0.45/0.63  (step @p154 :rule aci_norm :args ((= (or @t101 @t194) @t195)))
% 0.45/0.63  (step @p155 :rule refl :args (@t194))
% 0.45/0.63  (step @p156 :rule nary_cong :premises (@p37 @p155) :args ((or @t102 @t194)))
% 0.45/0.63  (step @p157 :rule trans :premises (@p156 @p154))
% 0.45/0.63  (step @p158 :rule bool-impl-elim :args (@t35 @t194))
% 0.45/0.63  (step @p159 :rule trans :premises (@p158 @p157))
% 0.45/0.63  (step @p160 :rule cong :premises (@p159) :args ((forall @t25 (=> @t35 @t194))))
% 0.45/0.63  (step @p161 :rule trans :premises (@p160 @p153))
% 0.45/0.63  (step @p162 :rule aci_norm :args ((= (or @t181 (or @t192 @t191)) @t193)))
% 0.45/0.63  (step @p163 :rule bool-and-de-morgan :args (@t12 @t190 true))
% 0.45/0.63  (step @p164 :rule refl :args (@t181))
% 0.45/0.63  (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t181 (not @t196))))
% 0.45/0.63  (step @p166 :rule bool-and-de-morgan :args (@t19 @t12 (and @t190)))
% 0.45/0.63  (step @p167 :rule trans :premises (@p166 @p165))
% 0.45/0.63  (step @p168 :rule trans :premises (@p167 @p162))
% 0.45/0.63  (step @p169 :rule cong :premises (@p168) :args (@t198))
% 0.45/0.63  (step @p170 :rule cong :premises (@p169) :args (@t199))
% 0.45/0.63  (step @p171 :rule exists-elim :args ((= (exists @t30 @t197) @t199)))
% 0.45/0.63  (step @p172 :rule trans :premises (@p171 @p170))
% 0.45/0.63  (step @p173 :rule aci_norm :args ((= (or @t59 (or @t188 @t4)) @t189)))
% 0.45/0.63  (step @p174 :rule bool-impl-elim :args (@t6 @t4))
% 0.45/0.63  (step @p175 :rule nary_cong :premises (@p106 @p174) :args ((or @t59 @t7)))
% 0.45/0.63  (step @p176 :rule trans :premises (@p175 @p173))
% 0.45/0.63  (step @p177 :rule bool-impl-elim :args (@t9 @t7))
% 0.45/0.63  (step @p178 :rule trans :premises (@p177 @p176))
% 0.45/0.63  (step @p179 :rule cong :premises (@p178) :args (@t11))
% 0.45/0.63  (step @p180 :rule refl :args (@t12))
% 0.45/0.63  (step @p181 :rule refl :args (@t19))
% 0.45/0.63  (step @p182 :rule nary_cong :premises (@p181 @p180 @p179) :args (@t29))
% 0.45/0.63  (step @p183 :rule cong :premises (@p182) :args (@t31))
% 0.45/0.63  (step @p184 :rule trans :premises (@p183 @p172))
% 0.45/0.63  (step @p185 :rule refl :args (@t17))
% 0.45/0.63  (step @p186 :rule cong :premises (@p185 @p184) :args (@t32))
% 0.45/0.63  (step @p187 :rule cong :premises (@p186) :args (@t33))
% 0.45/0.63  (step @p188 :rule cong :premises (@p123 @p187) :args (@t36))
% 0.45/0.63  (step @p189 :rule cong :premises (@p188) :args (@t37))
% 0.45/0.63  (step @p190 :rule trans :premises (@p189 @p161))
% 0.45/0.63  (step @p191 :rule eq_resolve :premises (@p8 @p190))
% 0.45/0.63  (step @p192 :rule instantiate :premises (@p191) :args ((@list @t71 @t70)))
% 0.45/0.63  (step @p193 :rule bool-double-not-elim :args (@t168))
% 0.45/0.63  (step @p194 :rule nary_cong :premises (@p131 @p193) :args ((or @t172 (not @t169))))
% 0.45/0.63  (step @p195 :rule cnf_or_neg :args (@t172 1))
% 0.45/0.63  (step @p196 :rule eq_resolve :premises (@p195 @p194))
% 0.45/0.63  (step @p197 :rule reordering :premises (@p196) :args ((or @t168 @t172)))
% 0.45/0.63  (step @p198 :rule chain_m_resolution :premises (@p197 @p129) :args (@t168 @t173 @t174))
% 0.45/0.63  (step @p199 :rule bool-double-not-elim :args (@t170))
% 0.45/0.63  (step @p200 :rule nary_cong :premises (@p131 @p199) :args ((or @t172 (not @t171))))
% 0.45/0.63  (step @p201 :rule cnf_or_neg :args (@t172 0))
% 0.45/0.63  (step @p202 :rule eq_resolve :premises (@p201 @p200))
% 0.45/0.63  (step @p203 :rule reordering :premises (@p202) :args ((or @t170 @t172)))
% 0.45/0.63  (step @p204 :rule chain_m_resolution :premises (@p203 @p129) :args (@t170 @t173 @t174))
% 0.45/0.63  (step @p205 :rule cnf_or_pos :args (@t202))
% 0.45/0.63  (step @p206 :rule reordering :premises (@p205) :args ((or @t171 @t169 @t201 (not @t202))))
% 0.45/0.63  (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p198 @p192) :args (@t201 @t203 (@list @t170 @t168 @t202)))
% 0.45/0.63  (step @p208 :rule bool-double-not-elim :args (@t179))
% 0.45/0.63  (step @p209 :rule refl :args (@t73))
% 0.45/0.63  (step @p210 :rule refl :args (@t204))
% 0.45/0.63  (step @p211 :rule nary_cong :premises (@p210 @p209 @p208) :args ((or @t204 @t73 (not @t200))))
% 0.45/0.63  (step @p212 :rule cnf_equiv_pos2 :args (@t201))
% 0.45/0.63  (step @p213 :rule eq_resolve :premises (@p212 @p211))
% 0.45/0.63  (step @p214 :rule reordering :premises (@p213) :args ((or @t73 @t179 @t204)))
% 0.45/0.63  (step @p215 :rule cnf_and_neg :args (@t75))
% 0.45/0.63  (step @p216 :rule aci_norm :args ((= @t212 @t210)))
% 0.45/0.63  (step @p217 :rule cong :premises (@p216) :args (@t214))
% 0.45/0.63  (step @p218 :rule quant-merge-prenex :args ((= (forall @t25 @t216) @t214)))
% 0.45/0.63  (step @p219 :rule alpha_equiv :args (@t217 (@list @t206 @t205) (@list @t5 @t2)))
% 0.45/0.63  (step @p220 :rule nary_cong :premises (@p26 @p219) :args (@t218))
% 0.45/0.63  (step @p221 :rule quant-miniscope-or :args ((= @t216 @t218)))
% 0.45/0.63  (step @p222 :rule trans :premises (@p221 @p220))
% 0.45/0.63  (step @p223 :rule symm :premises (@p222))
% 0.45/0.63  (step @p224 :rule cong :premises (@p223) :args ((forall @t25 (or @t64 @t222))))
% 0.45/0.63  (step @p225 :rule trans :premises (@p224 @p218))
% 0.45/0.63  (step @p226 :rule trans :premises (@p225 @p217))
% 0.45/0.63  (step @p227 :rule bool-impl-elim :args (@t23 @t222))
% 0.45/0.63  (step @p228 :rule cong :premises (@p227) :args ((forall @t25 (=> @t23 @t222))))
% 0.45/0.63  (step @p229 :rule trans :premises (@p228 @p226))
% 0.45/0.63  (step @p230 :rule aci_norm :args ((= (or @t181 (or @t220 @t219)) @t221)))
% 0.45/0.63  (step @p231 :rule bool-impl-elim :args (@t17 @t219))
% 0.45/0.63  (step @p232 :rule nary_cong :premises (@p164 @p231) :args ((or @t181 @t223)))
% 0.45/0.63  (step @p233 :rule trans :premises (@p232 @p230))
% 0.45/0.63  (step @p234 :rule bool-impl-elim :args (@t19 @t223))
% 0.45/0.63  (step @p235 :rule trans :premises (@p234 @p233))
% 0.45/0.63  (step @p236 :rule cong :premises (@p235) :args ((forall @t21 (=> @t19 @t223))))
% 0.45/0.63  (step @p237 :rule nary_cong :premises (@p180 @p179) :args (@t13))
% 0.45/0.63  (step @p238 :rule refl :args (@t15))
% 0.45/0.63  (step @p239 :rule cong :premises (@p238 @p237) :args (@t16))
% 0.45/0.63  (step @p240 :rule cong :premises (@p185 @p239) :args (@t18))
% 0.45/0.63  (step @p241 :rule cong :premises (@p181 @p240) :args (@t20))
% 0.45/0.63  (step @p242 :rule cong :premises (@p241) :args (@t22))
% 0.45/0.63  (step @p243 :rule trans :premises (@p242 @p236))
% 0.45/0.63  (step @p244 :rule refl :args (@t23))
% 0.45/0.63  (step @p245 :rule cong :premises (@p244 @p243) :args (@t24))
% 0.45/0.63  (step @p246 :rule cong :premises (@p245) :args (@t26))
% 0.45/0.63  (step @p247 :rule trans :premises (@p246 @p229))
% 0.45/0.63  (step @p248 :rule eq_resolve :premises (@p1 @p247))
% 0.45/0.63  (step @p249 :rule instantiate :premises (@p248) :args ((@list @t71 @t70 @t69)))
% 0.45/0.63  (step @p250 :rule cnf_or_pos :args (@t226))
% 0.45/0.63  (step @p251 :rule reordering :premises (@p250) :args ((or @t169 @t167 @t225 @t224 (not @t226))))
% 0.45/0.63  (step @p252 :rule cnf_equiv_pos2 :args (@t224))
% 0.45/0.63  (step @p253 :rule reordering :premises (@p252) :args ((or @t74 (not @t176) (not @t224))))
% 0.45/0.63  (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p249 @p136 @p198 @p215 @p214 @p207 @p145 @p140 @p138 @p136 @p21 @p20 @p15) :args (@t83 (@list false false false false true false false true false true false true false false) (@list @t224 @t226 @t149 @t168 @t74 @t73 @t201 @t179 @t176 @t175 @t149 @t75 @t80 @t72)))
% 0.45/0.63  (step @p255 :rule cnf_or_neg :args (@t172 3))
% 0.45/0.63  (step @p256 :rule chain_m_resolution :premises (@p255 @p129) :args ((not @t166) @t173 @t174))
% 0.45/0.63  (step @p257 :rule cnf_and_neg :args (@t166))
% 0.45/0.63  (step @p258 :rule chain_m_resolution :premises (@p257 @p256 @p254) :args ((not @t165) @t227 (@list @t166 @t83)))
% 0.45/0.63  (step @p259 :rule bool-double-not-elim :args (@t163))
% 0.45/0.63  (step @p260 :rule refl :args (@t165))
% 0.45/0.63  (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or @t165 (not @t164))))
% 0.45/0.63  (step @p262 :rule cnf_or_neg :args (@t165 0))
% 0.45/0.63  (step @p263 :rule eq_resolve :premises (@p262 @p261))
% 0.45/0.63  (step @p264 :rule reordering :premises (@p263) :args ((or @t163 @t165)))
% 0.45/0.63  (step @p265 :rule chain_m_resolution :premises (@p264 @p258) :args (@t163 @t173 @t228))
% 0.45/0.63  (step @p266 :rule eq-symm :args (@t232 @t235))
% 0.45/0.63  (step @p267 :rule refl :args (@t235))
% 0.45/0.63  (step @p268 :rule eq-symm :args (@t231 @t162))
% 0.45/0.63  (step @p269 :rule cong :premises (@p268 @p267) :args (@t236))
% 0.45/0.63  (step @p270 :rule trans :premises (@p269 @p266))
% 0.45/0.63  (step @p271 :rule refl :args (@t161))
% 0.45/0.63  (step @p272 :rule refl :args (@t238))
% 0.45/0.63  (step @p273 :rule refl :args (@t169))
% 0.45/0.63  (step @p274 :rule nary_cong :premises (@p273 @p272 @p271 @p270) :args (@t239))
% 0.45/0.63  (step @p275 :rule refl :args (@t240))
% 0.45/0.63  (step @p276 :rule cong :premises (@p275 @p274) :args ((=> @t240 @t239)))
% 0.45/0.63  (assume-push @p410 @t240)
% 0.45/0.63  (step @p278 :rule instantiate :premises (@p248) :args ((@list @t71 @t152 @t231)))
% 0.45/0.63  (step-pop @p411 :rule scope :premises (@p278))
% 0.45/0.63  (step @p279 :rule process_scope :premises (@p411) :args (@t239))
% 0.45/0.63  (step @p281 :rule eq_resolve :premises (@p279 @p276))
% 0.45/0.63  (step @p282 :rule implies_elim :premises (@p281))
% 0.45/0.63  (step @p283 :rule chain_m_resolution :premises (@p282 @p248) :args (@t242 @t243 (@list @t240)))
% 0.45/0.63  (step @p284 :rule instantiate :premises (@p191) :args ((@list @t71 @t152)))
% 0.45/0.63  (step @p285 :rule cnf_or_pos :args (@t246))
% 0.45/0.63  (step @p286 :rule reordering :premises (@p285) :args ((or @t171 @t169 @t245 (not @t246))))
% 0.45/0.63  (step @p287 :rule chain_m_resolution :premises (@p286 @p204 @p198 @p284) :args (@t245 @t203 (@list @t170 @t168 @t246)))
% 0.45/0.63  (step @p288 :rule bool-double-not-elim :args (@t160))
% 0.45/0.63  (step @p289 :rule nary_cong :premises (@p260 @p288) :args ((or @t165 (not @t161))))
% 0.45/0.63  (step @p290 :rule cnf_or_neg :args (@t165 1))
% 0.45/0.63  (step @p291 :rule eq_resolve :premises (@p290 @p289))
% 0.45/0.63  (step @p292 :rule reordering :premises (@p291) :args ((or @t160 @t165)))
% 0.45/0.63  (step @p293 :rule chain_m_resolution :premises (@p292 @p258) :args (@t160 @t173 @t228))
% 0.45/0.63  (step @p294 :rule cnf_equiv_pos1 :args (@t245))
% 0.45/0.63  (step @p295 :rule reordering :premises (@p294) :args ((or @t161 @t244 (not @t245))))
% 0.45/0.63  (step @p296 :rule chain_m_resolution :premises (@p295 @p293 @p287) :args (@t244 @t247 (@list @t160 @t245)))
% 0.45/0.63  (step @p297 :rule refl :args (@t251))
% 0.45/0.63  (step @p298 :rule bool-double-not-elim :args (@t230))
% 0.45/0.63  (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((or (not @t244) @t251)))
% 0.45/0.63  (assume-push @p412 @t244)
% 0.45/0.63  (step @p301 :rule skolemize :premises (@p412))
% 0.45/0.63  (step-pop @p413 :rule scope :premises (@p301))
% 0.45/0.63  (step @p302 :rule process_scope :premises (@p413) :args (@t251))
% 0.45/0.63  (step @p304 :rule implies_elim :premises (@p302))
% 0.45/0.63  (step @p305 :rule eq_resolve :premises (@p304 @p299))
% 0.45/0.63  (step @p306 :rule chain_m_resolution :premises (@p305 @p296) :args (@t251 @t173 (@list @t230)))
% 0.45/0.63  (step @p307 :rule bool-double-not-elim :args (@t237))
% 0.45/0.63  (step @p308 :rule refl :args (@t250))
% 0.45/0.63  (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or @t250 (not @t238))))
% 0.45/0.63  (step @p310 :rule cnf_or_neg :args (@t250 0))
% 0.45/0.63  (step @p311 :rule eq_resolve :premises (@p310 @p309))
% 0.45/0.63  (step @p312 :rule reordering :premises (@p311) :args ((or @t237 @t250)))
% 0.45/0.63  (step @p313 :rule chain_m_resolution :premises (@p312 @p306) :args (@t237 @t173 @t252))
% 0.45/0.63  (step @p314 :rule cnf_or_pos :args (@t242))
% 0.45/0.63  (step @p315 :rule reordering :premises (@p314) :args ((or @t169 @t161 @t238 @t241 (not @t242))))
% 0.45/0.63  (step @p316 :rule chain_m_resolution :premises (@p315 @p198 @p293 @p313 @p283) :args (@t241 @t253 (@list @t168 @t160 @t237 @t242)))
% 0.45/0.63  (step @p317 :rule bool-double-not-elim :args (@t233))
% 0.45/0.63  (step @p318 :rule nary_cong :premises (@p308 @p317) :args ((or @t250 (not @t248))))
% 0.45/0.63  (step @p319 :rule cnf_or_neg :args (@t250 2))
% 0.45/0.63  (step @p320 :rule eq_resolve :premises (@p319 @p318))
% 0.45/0.63  (step @p321 :rule reordering :premises (@p320) :args ((or @t233 @t250)))
% 0.45/0.63  (step @p322 :rule chain_m_resolution :premises (@p321 @p306) :args (@t233 @t173 @t252))
% 0.45/0.63  (step @p323 :rule bool-double-not-elim :args (@t234))
% 0.45/0.63  (step @p324 :rule nary_cong :premises (@p308 @p323) :args ((or @t250 (not @t249))))
% 0.45/0.63  (step @p325 :rule cnf_or_neg :args (@t250 1))
% 0.45/0.63  (step @p326 :rule eq_resolve :premises (@p325 @p324))
% 0.45/0.63  (step @p327 :rule reordering :premises (@p326) :args ((or @t234 @t250)))
% 0.45/0.63  (step @p328 :rule chain_m_resolution :premises (@p327 @p306) :args (@t234 @t173 @t252))
% 0.45/0.63  (step @p329 :rule cnf_and_neg :args (@t235))
% 0.45/0.63  (step @p330 :rule reordering :premises (@p329) :args ((or @t249 @t248 @t235)))
% 0.45/0.63  (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p322) :args (@t235 @t247 (@list @t234 @t233)))
% 0.45/0.63  (step @p332 :rule cnf_equiv_pos1 :args (@t241))
% 0.45/0.63  (step @p333 :rule reordering :premises (@p332) :args ((or @t232 (not @t235) (not @t241))))
% 0.45/0.63  (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p316) :args (@t232 @t247 (@list @t235 @t241)))
% 0.45/0.63  (step @p335 :rule instantiate :premises (@p248) :args ((@list @t71 @t152 @t69)))
% 0.45/0.63  (step @p336 :rule cnf_or_pos :args (@t256))
% 0.45/0.63  (step @p337 :rule reordering :premises (@p336) :args ((or @t169 @t167 @t161 @t255 (not @t256))))
% 0.45/0.63  (step @p338 :rule chain_m_resolution :premises (@p337 @p198 @p136 @p293 @p335) :args (@t255 @t253 (@list @t168 @t149 @t160 @t256)))
% 0.45/0.63  (step @p339 :rule cnf_equiv_pos1 :args (@t255))
% 0.45/0.63  (step @p340 :rule reordering :premises (@p339) :args ((or @t164 @t254 (not @t255))))
% 0.45/0.63  (step @p341 :rule chain_m_resolution :premises (@p340 @p265 @p338) :args (@t254 @t247 (@list @t163 @t255)))
% 0.45/0.63  (step @p342 :rule cnf_and_pos :args (@t254 0))
% 0.45/0.63  (step @p343 :rule reordering :premises (@p342) :args ((or @t158 (not @t254))))
% 0.45/0.63  (step @p344 :rule chain_m_resolution :premises (@p343 @p341) :args (@t158 @t243 (@list @t254)))
% 0.45/0.63  (step @p345 :rule cnf_or_neg :args (@t165 2))
% 0.45/0.63  (step @p346 :rule chain_m_resolution :premises (@p345 @p258) :args ((not @t159) @t173 @t228))
% 0.45/0.63  (step @p347 :rule cnf_and_neg :args (@t159))
% 0.45/0.63  (step @p348 :rule chain_m_resolution :premises (@p347 @p346 @p344) :args ((not @t157) @t227 (@list @t159 @t158)))
% 0.45/0.63  (step @p349 :rule cnf_or_neg :args (@t157 2))
% 0.45/0.63  (step @p350 :rule chain_m_resolution :premises (@p349 @p348) :args (@t257 @t173 @t258))
% 0.45/0.63  (assume-push @p414 @t233)
% 0.45/0.63  (step @p352 :rule instantiate :premises (@p414) :args ((@list @t150)))
% 0.45/0.63  (step-pop @p415 :rule scope :premises (@p352))
% 0.45/0.63  (step @p353 :rule process_scope :premises (@p415) :args (@t260))
% 0.45/0.63  (step @p355 :rule implies_elim :premises (@p353))
% 0.45/0.63  (step @p356 :rule chain_m_resolution :premises (@p355 @p322) :args (@t260 @t243 (@list @t233)))
% 0.45/0.63  (step @p357 :rule bool-double-not-elim :args (@t153))
% 0.45/0.63  (step @p358 :rule refl :args (@t157))
% 0.45/0.63  (step @p359 :rule nary_cong :premises (@p358 @p357) :args ((or @t157 (not @t154))))
% 0.45/0.63  (step @p360 :rule cnf_or_neg :args (@t157 1))
% 0.45/0.63  (step @p361 :rule eq_resolve :premises (@p360 @p359))
% 0.45/0.63  (step @p362 :rule reordering :premises (@p361) :args ((or @t153 @t157)))
% 0.45/0.63  (step @p363 :rule chain_m_resolution :premises (@p362 @p348) :args (@t153 @t173 @t258))
% 0.45/0.63  (step @p364 :rule bool-double-not-elim :args (@t155))
% 0.45/0.63  (step @p365 :rule nary_cong :premises (@p358 @p364) :args ((or @t157 (not @t156))))
% 0.45/0.63  (step @p366 :rule cnf_or_neg :args (@t157 0))
% 0.45/0.63  (step @p367 :rule eq_resolve :premises (@p366 @p365))
% 0.45/0.63  (step @p368 :rule reordering :premises (@p367) :args ((or @t155 @t157)))
% 0.45/0.63  (step @p369 :rule chain_m_resolution :premises (@p368 @p348) :args (@t155 @t173 @t258))
% 0.45/0.63  (step @p370 :rule cnf_or_pos :args (@t260))
% 0.45/0.63  (step @p371 :rule reordering :premises (@p370) :args ((or @t156 @t154 @t259 (not @t260))))
% 0.45/0.63  (step @p372 :rule chain_m_resolution :premises (@p371 @p369 @p363 @p356) :args (@t259 @t203 (@list @t155 @t153 @t260)))
% 0.45/0.63  (step @p373 :rule refl :args (@t261))
% 0.45/0.63  (step @p374 :rule refl :args (@t262))
% 0.45/0.63  (step @p375 :rule bool-double-not-elim :args (@t151))
% 0.45/0.63  (step @p376 :rule refl :args (@t164))
% 0.45/0.63  (step @p377 :rule nary_cong :premises (@p376 @p375 @p374 @p373) :args ((or @t164 (not @t257) @t262 @t261)))
% 0.45/0.63  (assume-push @p416 @t163)
% 0.45/0.63  (assume-push @p417 @t257)
% 0.45/0.63  (assume-push @p418 @t232)
% 0.45/0.63  (assume-push @p419 @t257)
% 0.45/0.63  (assume-push @p420 @t163)
% 0.45/0.63  (assume-push @p421 @t232)
% 0.45/0.63  (step @p384 :rule false_intro :premises (@p417))
% 0.45/0.63  (step @p385 :rule refl :args (@t150))
% 0.45/0.63  (step @p386 :rule symm :premises (@p416))
% 0.45/0.63  (step @p387 :rule symm :premises (@p418))
% 0.45/0.63  (step @p388 :rule trans :premises (@p387 @p386))
% 0.45/0.63  (step @p389 :rule refl :args (@t71))
% 0.45/0.63  (step @p390 :rule cong :premises (@p389 @p388 @p385) :args (@t259))
% 0.45/0.63  (step @p391 :rule trans :premises (@p390 @p384))
% 0.45/0.63  (step @p392 :rule false_elim :premises (@p391))
% 0.45/0.63  (step-pop @p422 :rule scope :premises (@p392))
% 0.45/0.63  (step-pop @p423 :rule scope :premises (@p422))
% 0.45/0.63  (step-pop @p424 :rule scope :premises (@p423))
% 0.45/0.63  (step @p393 :rule process_scope :premises (@p424) :args (@t261))
% 0.45/0.63  (step @p397 :rule and_intro :premises (@p417 @p416 @p418))
% 0.45/0.63  (step @p398 :rule modus_ponens :premises (@p397 @p393))
% 0.45/0.63  (step-pop @p425 :rule scope :premises (@p398))
% 0.45/0.63  (step-pop @p426 :rule scope :premises (@p425))
% 0.45/0.63  (step-pop @p427 :rule scope :premises (@p426))
% 0.45/0.63  (step @p399 :rule process_scope :premises (@p427) :args (@t261))
% 0.45/0.63  (step @p403 :rule implies_elim :premises (@p399))
% 0.45/0.63  (step @p404 :rule cnf_and_neg :args (@t263))
% 0.45/0.63  (step @p405 :rule resolution :premises (@p404 @p403) :args (true @t263))
% 0.45/0.63  (step @p406 :rule eq_resolve :premises (@p405 @p377))
% 0.45/0.63  (step @p407 false :rule chain_m_resolution :premises (@p406 @p372 @p350 @p334 @p265) :args (false (@list false true false false) (@list @t259 @t151 @t232 @t163)))
% 0.45/0.63  )
% 0.45/0.63  % SZS output end Proof
% 0.45/0.63  % cvc5 exiting
%------------------------------------------------------------------------------