%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU504^1 : 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 : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:58 AM UTC 2026 % Result : Theorem 0.44s 0.67s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU504^1 : TPTP v9.2.1. Released v3.7.0. % 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 : n029.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 17:39:47 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.44/0.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.67 % SZS status Theorem % 0.44/0.67 % SZS output start Proof % 0.44/0.67 ( % 0.44/0.67 (declare-sort $$unsorted 0) % 0.44/0.67 (declare-const tptp.emptyset $$unsorted) % 0.44/0.67 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.44/0.67 (declare-const tptp.emptysetE Bool) % 0.44/0.67 (declare-const tptp.prop2setE Bool) % 0.44/0.67 (declare-const tptp.dsetconstrI Bool) % 0.44/0.67 (declare-const tptp.descrp Bool) % 0.44/0.67 (declare-const tptp.exuE1 Bool) % 0.44/0.67 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.44/0.67 (declare-const tptp.emptysetimpfalse Bool) % 0.44/0.67 (declare-const tptp.wellorderingAx Bool) % 0.44/0.67 (declare-const tptp.replAx Bool) % 0.44/0.67 (declare-const tptp.dsetconstrEL Bool) % 0.44/0.67 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.setextAx Bool) % 0.44/0.67 (declare-const tptp.foundationAx Bool) % 0.44/0.67 (declare-const tptp.emptysetAx Bool) % 0.44/0.67 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.dsetconstrER Bool) % 0.44/0.67 (declare-const tptp.setadjoinAx Bool) % 0.44/0.67 (declare-const tptp.powersetAx Bool) % 0.44/0.67 (declare-const tptp.omegaSAx Bool) % 0.44/0.67 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.notinemptyset Bool) % 0.44/0.67 (declare-const tptp.omega0Ax Bool) % 0.44/0.67 (declare-const tptp.setunionAx Bool) % 0.44/0.67 (declare-const tptp.omega $$unsorted) % 0.44/0.67 (declare-const tptp.omegaIndAx Bool) % 0.44/0.67 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.44/0.67 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.44/0.67 (define @t1 () (@var "B" $$unsorted)) % 0.44/0.67 (define @t2 () (@var "A" $$unsorted)) % 0.44/0.67 (define @t3 () (= @t2 @t1)) % 0.44/0.67 (define @t4 () (@var "Xx" $$unsorted)) % 0.44/0.67 (define @t5 () (_ tptp.in @t4)) % 0.44/0.67 (define @t6 () (_ @t5 @t1)) % 0.44/0.67 (define @t7 () (_ @t5 @t2)) % 0.44/0.67 (define @t8 () (= @t7 @t6)) % 0.44/0.67 (define @t9 () (@list @t4)) % 0.44/0.67 (define @t10 () (forall @t9 @t8)) % 0.44/0.67 (define @t11 () (=> @t10 @t3)) % 0.44/0.67 (define @t12 () (@list @t2 @t1)) % 0.44/0.67 (define @t13 () (forall @t12 @t11)) % 0.44/0.67 (define @t14 () (= tptp.setextAx @t13)) % 0.44/0.67 (define @t15 () (_ @t5 tptp.emptyset)) % 0.44/0.67 (define @t16 () (not @t15)) % 0.44/0.67 (define @t17 () (forall @t9 @t16)) % 0.44/0.67 (define @t18 () (= tptp.emptysetAx @t17)) % 0.44/0.67 (define @t19 () (@var "Xy" $$unsorted)) % 0.44/0.67 (define @t20 () (_ tptp.in @t19)) % 0.44/0.67 (define @t21 () (_ @t20 @t2)) % 0.44/0.67 (define @t22 () (or (= @t19 @t4) @t21)) % 0.44/0.67 (define @t23 () (_ tptp.setadjoin @t4)) % 0.44/0.67 (define @t24 () (_ @t23 @t2)) % 0.44/0.67 (define @t25 () (_ @t20 @t24)) % 0.44/0.67 (define @t26 () (= @t25 @t22)) % 0.44/0.67 (define @t27 () (@list @t4 @t2 @t19)) % 0.44/0.67 (define @t28 () (forall @t27 @t26)) % 0.44/0.67 (define @t29 () (= tptp.setadjoinAx @t28)) % 0.44/0.67 (define @t30 () (forall @t9 (=> @t6 @t7))) % 0.44/0.67 (define @t31 () (_ tptp.powerset @t2)) % 0.44/0.67 (define @t32 () (_ tptp.in @t1)) % 0.44/0.67 (define @t33 () (_ @t32 @t31)) % 0.44/0.67 (define @t34 () (= @t33 @t30)) % 0.44/0.67 (define @t35 () (forall @t12 @t34)) % 0.44/0.67 (define @t36 () (= tptp.powersetAx @t35)) % 0.44/0.67 (define @t37 () (_ @t32 @t2)) % 0.44/0.67 (define @t38 () (and @t6 @t37)) % 0.44/0.67 (define @t39 () (@list @t1)) % 0.44/0.67 (define @t40 () (exists @t39 @t38)) % 0.44/0.67 (define @t41 () (_ tptp.setunion @t2)) % 0.44/0.67 (define @t42 () (_ @t5 @t41)) % 0.44/0.67 (define @t43 () (= @t42 @t40)) % 0.44/0.67 (define @t44 () (@list @t2 @t4)) % 0.44/0.67 (define @t45 () (forall @t44 @t43)) % 0.44/0.67 (define @t46 () (= tptp.setunionAx @t45)) % 0.44/0.67 (define @t47 () (_ tptp.in tptp.emptyset)) % 0.44/0.67 (define @t48 () (_ @t47 tptp.omega)) % 0.44/0.67 (define @t49 () (_ @t23 @t4)) % 0.44/0.67 (define @t50 () (_ tptp.in @t49)) % 0.44/0.67 (define @t51 () (_ @t50 tptp.omega)) % 0.44/0.67 (define @t52 () (_ @t5 tptp.omega)) % 0.44/0.67 (define @t53 () (forall @t9 (=> @t52 @t51))) % 0.44/0.67 (define @t54 () (= tptp.omegaSAx @t53)) % 0.44/0.67 (define @t55 () (forall @t9 (=> @t52 @t7))) % 0.44/0.67 (define @t56 () (_ @t50 @t2)) % 0.44/0.67 (define @t57 () (and @t52 @t7)) % 0.44/0.67 (define @t58 () (forall @t9 (=> @t57 @t56))) % 0.44/0.67 (define @t59 () (_ @t47 @t2)) % 0.44/0.67 (define @t60 () (and @t59 @t58)) % 0.44/0.67 (define @t61 () (=> @t60 @t55)) % 0.44/0.67 (define @t62 () (@list @t2)) % 0.44/0.67 (define @t63 () (forall @t62 @t61)) % 0.44/0.67 (define @t64 () (= tptp.omegaIndAx @t63)) % 0.44/0.67 (define @t65 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.44/0.67 (define @t66 () (_ (_ @t65 @t19) @t4)) % 0.44/0.67 (define @t67 () (and @t21 @t66)) % 0.44/0.67 (define @t68 () (@list @t19)) % 0.44/0.67 (define @t69 () (exists @t68 @t67)) % 0.44/0.67 (define @t70 () (= @t6 @t69)) % 0.44/0.67 (define @t71 () (forall @t9 @t70)) % 0.44/0.67 (define @t72 () (exists @t39 @t71)) % 0.44/0.67 (define @t73 () (_ @t65 @t4)) % 0.44/0.67 (define @t74 () (_ @t73 @t19)) % 0.44/0.67 (define @t75 () (lambda @t68 @t74)) % 0.44/0.67 (define @t76 () (=> @t7 (_ tptp.exu @t75))) % 0.44/0.67 (define @t77 () (forall @t9 @t76)) % 0.44/0.67 (define @t78 () (=> @t77 @t72)) % 0.44/0.67 (define @t79 () (@list @t65 @t2)) % 0.44/0.67 (define @t80 () (forall @t79 @t78)) % 0.44/0.67 (define @t81 () (= tptp.replAx @t80)) % 0.44/0.67 (define @t82 () (and @t6 @t7)) % 0.44/0.67 (define @t83 () (exists @t9 @t82)) % 0.44/0.67 (define @t84 () (not @t83)) % 0.44/0.67 (define @t85 () (and @t37 @t84)) % 0.44/0.67 (define @t86 () (exists @t39 @t85)) % 0.44/0.67 (define @t87 () (exists @t9 @t7)) % 0.44/0.67 (define @t88 () (=> @t87 @t86)) % 0.44/0.67 (define @t89 () (forall @t62 @t88)) % 0.44/0.67 (define @t90 () (= tptp.foundationAx @t89)) % 0.44/0.67 (define @t91 () (@var "E" $$unsorted)) % 0.44/0.67 (define @t92 () (_ @t5 @t91)) % 0.44/0.67 (define @t93 () (@var "D" $$unsorted)) % 0.44/0.67 (define @t94 () (_ @t20 @t93)) % 0.44/0.67 (define @t95 () (_ @t20 @t91)) % 0.44/0.67 (define @t96 () (forall @t68 (=> @t95 @t94))) % 0.44/0.67 (define @t97 () (or @t96 @t92)) % 0.44/0.67 (define @t98 () (_ (_ tptp.in @t91) @t1)) % 0.44/0.67 (define @t99 () (=> @t98 @t97)) % 0.44/0.67 (define @t100 () (@list @t91)) % 0.44/0.67 (define @t101 () (forall @t100 @t99)) % 0.44/0.67 (define @t102 () (@var "C" $$unsorted)) % 0.44/0.67 (define @t103 () (_ @t20 @t102)) % 0.44/0.67 (define @t104 () (and @t94 @t103)) % 0.44/0.67 (define @t105 () (exists @t68 @t104)) % 0.44/0.67 (define @t106 () (not @t105)) % 0.44/0.67 (define @t107 () (_ @t5 @t102)) % 0.44/0.67 (define @t108 () (_ (_ tptp.in @t93) @t1)) % 0.44/0.67 (define @t109 () (and @t108 @t107 @t106 @t101)) % 0.44/0.67 (define @t110 () (@list @t93 @t4)) % 0.44/0.67 (define @t111 () (exists @t110 @t109)) % 0.44/0.67 (define @t112 () (exists @t9 @t107)) % 0.44/0.67 (define @t113 () (forall @t9 (=> @t107 @t7))) % 0.44/0.67 (define @t114 () (and @t113 @t112)) % 0.44/0.67 (define @t115 () (=> @t114 @t111)) % 0.44/0.67 (define @t116 () (@list @t102)) % 0.44/0.67 (define @t117 () (forall @t116 @t115)) % 0.44/0.67 (define @t118 () (_ @t5 @t93)) % 0.44/0.67 (define @t119 () (forall @t9 (=> @t118 @t107))) % 0.44/0.67 (define @t120 () (forall @t9 (=> @t107 @t118))) % 0.44/0.67 (define @t121 () (or @t120 @t119)) % 0.44/0.67 (define @t122 () (_ (_ tptp.in @t102) @t1)) % 0.44/0.67 (define @t123 () (and @t122 @t108)) % 0.44/0.67 (define @t124 () (=> @t123 @t121)) % 0.44/0.67 (define @t125 () (@list @t102 @t93)) % 0.44/0.67 (define @t126 () (forall @t125 @t124)) % 0.44/0.67 (define @t127 () (= @t4 @t19)) % 0.44/0.67 (define @t128 () (= @t107 @t103)) % 0.44/0.67 (define @t129 () (forall @t116 (=> @t122 @t128))) % 0.44/0.67 (define @t130 () (=> @t129 @t127)) % 0.44/0.67 (define @t131 () (and @t7 @t21)) % 0.44/0.67 (define @t132 () (=> @t131 @t130)) % 0.44/0.67 (define @t133 () (@list @t4 @t19)) % 0.44/0.67 (define @t134 () (forall @t133 @t132)) % 0.44/0.67 (define @t135 () (=> @t122 @t113)) % 0.44/0.67 (define @t136 () (forall @t116 @t135)) % 0.44/0.67 (define @t137 () (and @t136 @t134 @t126 @t117)) % 0.44/0.67 (define @t138 () (exists @t39 @t137)) % 0.44/0.67 (define @t139 () (forall @t62 @t138)) % 0.44/0.67 (define @t140 () (= tptp.wellorderingAx @t139)) % 0.44/0.67 (define @t141 () (@var "Xphi" (-> $$unsorted Bool))) % 0.44/0.67 (define @t142 () (_ @t141 @t4)) % 0.44/0.67 (define @t143 () (lambda @t9 @t142)) % 0.44/0.67 (define @t144 () (_ tptp.descr @t143)) % 0.44/0.67 (define @t145 () (_ @t141 @t144)) % 0.44/0.67 (define @t146 () (_ tptp.exu @t143)) % 0.44/0.67 (define @t147 () (=> @t146 @t145)) % 0.44/0.67 (define @t148 () (@list @t141)) % 0.44/0.67 (define @t149 () (forall @t148 @t147)) % 0.44/0.67 (define @t150 () (= tptp.descrp @t149)) % 0.44/0.67 (define @t151 () (_ @t141 @t19)) % 0.44/0.67 (define @t152 () (lambda @t68 @t151)) % 0.44/0.67 (define @t153 () (_ tptp.dsetconstr @t2)) % 0.44/0.67 (define @t154 () (_ @t153 @t152)) % 0.44/0.67 (define @t155 () (_ @t5 @t154)) % 0.44/0.67 (define @t156 () (=> @t142 @t155)) % 0.44/0.67 (define @t157 () (@list @t2 @t141 @t4)) % 0.44/0.67 (define @t158 () (forall @t157 (=> @t7 @t156))) % 0.44/0.67 (define @t159 () (= tptp.dsetconstrI @t158)) % 0.44/0.67 (define @t160 () (forall @t157 (=> @t155 @t7))) % 0.44/0.67 (define @t161 () (= tptp.dsetconstrEL @t160)) % 0.44/0.67 (define @t162 () (forall @t157 (=> @t155 @t142))) % 0.44/0.67 (define @t163 () (= tptp.dsetconstrER @t162)) % 0.44/0.67 (define @t164 () (forall @t68 (=> @t151 @t127))) % 0.44/0.67 (define @t165 () (and @t142 @t164)) % 0.44/0.67 (define @t166 () (exists @t9 @t165)) % 0.44/0.67 (define @t167 () (=> @t146 @t166)) % 0.44/0.67 (define @t168 () (forall @t148 @t167)) % 0.44/0.67 (define @t169 () (= tptp.exuE1 @t168)) % 0.44/0.67 (define @t170 () (@var "Xphi" Bool)) % 0.44/0.67 (define @t171 () (=> (_ @t5 (_ tptp.prop2set @t170)) @t170)) % 0.44/0.67 (define @t172 () (@list @t170 @t4)) % 0.44/0.67 (define @t173 () (forall @t172 @t171)) % 0.44/0.67 (define @t174 () (= tptp.prop2setE @t173)) % 0.44/0.67 (define @t175 () (@list @t170)) % 0.44/0.67 (define @t176 () (forall @t175 @t170)) % 0.44/0.67 (define @t177 () (=> @t15 @t176)) % 0.44/0.67 (define @t178 () (forall @t9 @t177)) % 0.44/0.67 (define @t179 () (= tptp.emptysetE @t178)) % 0.44/0.67 (define @t180 () (forall @t9 (=> @t15 false))) % 0.44/0.67 (define @t181 () (= tptp.emptysetimpfalse @t180)) % 0.44/0.67 (define @t182 () (exists @t9 @t142)) % 0.44/0.67 (define @t183 () (=> @t146 @t182)) % 0.44/0.67 (define @t184 () (forall @t148 @t183)) % 0.44/0.67 (define @t185 () (=> tptp.notinemptyset @t184)) % 0.44/0.67 (define @t186 () (=> tptp.emptysetimpfalse @t185)) % 0.44/0.67 (define @t187 () (=> tptp.emptysetE @t186)) % 0.44/0.67 (define @t188 () (=> tptp.prop2setE @t187)) % 0.44/0.67 (define @t189 () (=> tptp.exuE1 @t188)) % 0.44/0.67 (define @t190 () (=> tptp.dsetconstrER @t189)) % 0.44/0.67 (define @t191 () (=> tptp.dsetconstrEL @t190)) % 0.44/0.67 (define @t192 () (=> tptp.dsetconstrI @t191)) % 0.44/0.67 (define @t193 () (=> tptp.descrp @t192)) % 0.44/0.67 (define @t194 () (=> tptp.wellorderingAx @t193)) % 0.44/0.67 (define @t195 () (=> tptp.foundationAx @t194)) % 0.44/0.67 (define @t196 () (=> tptp.replAx @t195)) % 0.44/0.67 (define @t197 () (=> tptp.omegaIndAx @t196)) % 0.44/0.67 (define @t198 () (=> tptp.omegaSAx @t197)) % 0.44/0.67 (define @t199 () (=> tptp.omega0Ax @t198)) % 0.44/0.67 (define @t200 () (=> tptp.setunionAx @t199)) % 0.44/0.67 (define @t201 () (=> tptp.powersetAx @t200)) % 0.44/0.67 (define @t202 () (=> tptp.setadjoinAx @t201)) % 0.44/0.67 (define @t203 () (=> tptp.emptysetAx @t202)) % 0.44/0.67 (define @t204 () (=> tptp.setextAx @t203)) % 0.44/0.67 (define @t205 () (not @t204)) % 0.44/0.67 (define @t206 () (lambda @t148 @t166)) % 0.44/0.67 (define @t207 () (lambda @t9 @t170)) % 0.44/0.67 (define @t208 () (_ tptp.powerset tptp.emptyset)) % 0.44/0.67 (define @t209 () (_ tptp.dsetconstr @t208)) % 0.44/0.67 (define @t210 () (_ @t209 @t207)) % 0.44/0.67 (define @t211 () (lambda @t175 @t210)) % 0.44/0.67 (define @t212 () (@var "BOUND_VARIABLE_8310" $$unsorted)) % 0.44/0.67 (define @t213 () (_ @t141 @t19)) % 0.44/0.67 (define @t214 () (not @t213)) % 0.44/0.67 (define @t215 () (not (_ @t141 @t212))) % 0.44/0.67 (define @t216 () (_ @t141 @t4)) % 0.44/0.67 (define @t217 () (not @t216)) % 0.44/0.67 (define @t218 () (not (forall @t9 @t217))) % 0.44/0.67 (define @t219 () (@list @t141 @t212)) % 0.44/0.67 (define @t220 () (forall @t219 (or @t218 @t215 (not (forall @t68 (or @t214 (= @t19 @t212))))))) % 0.44/0.67 (define @t221 () (tptp.in @t4 tptp.emptyset)) % 0.44/0.67 (define @t222 () (forall @t9 (not @t221))) % 0.44/0.67 (define @t223 () (@var "BOUND_VARIABLE_13080" $$unsorted)) % 0.44/0.67 (define @t224 () (lambda (@list @t223) false)) % 0.44/0.67 (define @t225 () (tptp.powerset tptp.emptyset)) % 0.44/0.67 (define @t226 () (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t225 @t224)))) (=> @t222 (=> @t222 (=> @t222 @t220))))) % 0.44/0.67 (define @t227 () (tptp.in @t4 (tptp.dsetconstr @t2 @t141))) % 0.44/0.67 (define @t228 () (not @t227)) % 0.44/0.67 (define @t229 () (forall @t157 (or @t228 @t216))) % 0.44/0.67 (define @t230 () (tptp.in @t4 @t2)) % 0.44/0.67 (define @t231 () (forall @t157 (or @t228 @t230))) % 0.44/0.67 (define @t232 () (not @t230)) % 0.44/0.67 (define @t233 () (forall @t157 (or @t232 @t217 @t227))) % 0.44/0.67 (define @t234 () (@var "BOUND_VARIABLE_8161" $$unsorted)) % 0.44/0.67 (define @t235 () (not (_ @t141 @t234))) % 0.44/0.67 (define @t236 () (_ @t141 (tptp.descr @t141))) % 0.44/0.67 (define @t237 () (@list @t141 @t234)) % 0.44/0.67 (define @t238 () (forall @t237 (or @t236 @t235 (not (forall @t68 (or @t214 (= @t19 @t234))))))) % 0.44/0.67 (define @t239 () (@var "BOUND_VARIABLE_8081" $$unsorted)) % 0.44/0.67 (define @t240 () (tptp.in @t239 @t93)) % 0.44/0.67 (define @t241 () (not (tptp.in @t239 @t91))) % 0.44/0.67 (define @t242 () (tptp.in @t4 @t91)) % 0.44/0.67 (define @t243 () (tptp.in @t91 @t1)) % 0.44/0.67 (define @t244 () (not @t243)) % 0.44/0.67 (define @t245 () (or @t244 @t242 @t241 @t240)) % 0.44/0.67 (define @t246 () (@list @t91 @t239)) % 0.44/0.67 (define @t247 () (forall @t246 @t245)) % 0.44/0.67 (define @t248 () (not @t247)) % 0.44/0.67 (define @t249 () (tptp.in @t19 @t102)) % 0.44/0.67 (define @t250 () (tptp.in @t19 @t93)) % 0.44/0.67 (define @t251 () (forall @t68 (or (not @t250) (not @t249)))) % 0.44/0.67 (define @t252 () (not @t251)) % 0.44/0.67 (define @t253 () (tptp.in @t4 @t102)) % 0.44/0.67 (define @t254 () (not @t253)) % 0.44/0.67 (define @t255 () (tptp.in @t93 @t1)) % 0.44/0.67 (define @t256 () (not @t255)) % 0.44/0.67 (define @t257 () (not (forall @t110 (or @t256 @t254 @t252 @t248)))) % 0.44/0.67 (define @t258 () (@var "BOUND_VARIABLE_8110" $$unsorted)) % 0.44/0.67 (define @t259 () (not (tptp.in @t258 @t102))) % 0.44/0.67 (define @t260 () (forall @t9 (or @t254 @t230))) % 0.44/0.67 (define @t261 () (not @t260)) % 0.44/0.67 (define @t262 () (or @t261 @t259 @t257)) % 0.44/0.67 (define @t263 () (forall (@list @t102 @t258) @t262)) % 0.44/0.67 (define @t264 () (not @t263)) % 0.44/0.67 (define @t265 () (@var "BOUND_VARIABLE_8033" $$unsorted)) % 0.44/0.67 (define @t266 () (tptp.in @t265 @t102)) % 0.44/0.67 (define @t267 () (not (tptp.in @t265 @t93))) % 0.44/0.67 (define @t268 () (@var "BOUND_VARIABLE_8027" $$unsorted)) % 0.44/0.67 (define @t269 () (tptp.in @t268 @t93)) % 0.44/0.67 (define @t270 () (not (tptp.in @t268 @t102))) % 0.44/0.67 (define @t271 () (tptp.in @t102 @t1)) % 0.44/0.67 (define @t272 () (not @t271)) % 0.44/0.67 (define @t273 () (or @t272 @t256 @t270 @t269 @t267 @t266)) % 0.44/0.67 (define @t274 () (@list @t102 @t93 @t268 @t265)) % 0.44/0.67 (define @t275 () (forall @t274 @t273)) % 0.44/0.67 (define @t276 () (not @t275)) % 0.44/0.67 (define @t277 () (forall @t116 (or @t272 (= @t253 @t249)))) % 0.44/0.67 (define @t278 () (not @t277)) % 0.44/0.67 (define @t279 () (tptp.in @t19 @t2)) % 0.44/0.67 (define @t280 () (not @t279)) % 0.44/0.67 (define @t281 () (forall @t133 (or @t232 @t280 @t278 @t127))) % 0.44/0.67 (define @t282 () (not @t281)) % 0.44/0.67 (define @t283 () (@var "BOUND_VARIABLE_7976" $$unsorted)) % 0.44/0.67 (define @t284 () (tptp.in @t283 @t2)) % 0.44/0.67 (define @t285 () (not (tptp.in @t283 @t102))) % 0.44/0.67 (define @t286 () (or @t272 @t285 @t284)) % 0.44/0.67 (define @t287 () (@list @t102 @t283)) % 0.44/0.67 (define @t288 () (forall @t287 @t286)) % 0.44/0.67 (define @t289 () (not @t288)) % 0.44/0.67 (define @t290 () (or @t289 @t282 @t276 @t264)) % 0.44/0.67 (define @t291 () (forall @t62 (not (forall @t39 @t290)))) % 0.44/0.67 (define @t292 () (tptp.in @t4 @t1)) % 0.44/0.67 (define @t293 () (not @t292)) % 0.44/0.67 (define @t294 () (forall @t9 (or @t293 @t232))) % 0.44/0.67 (define @t295 () (not @t294)) % 0.44/0.67 (define @t296 () (tptp.in @t1 @t2)) % 0.44/0.67 (define @t297 () (not @t296)) % 0.44/0.67 (define @t298 () (not (forall @t39 (or @t297 @t295)))) % 0.44/0.67 (define @t299 () (@var "BOUND_VARIABLE_7951" $$unsorted)) % 0.44/0.67 (define @t300 () (not (tptp.in @t299 @t2))) % 0.44/0.67 (define @t301 () (or @t300 @t298)) % 0.44/0.67 (define @t302 () (forall (@list @t2 @t299) @t301)) % 0.44/0.67 (define @t303 () (_ @t65 @t19 @t4)) % 0.44/0.67 (define @t304 () (not (forall @t68 (or @t280 (not @t303))))) % 0.44/0.67 (define @t305 () (forall @t9 (= @t292 @t304))) % 0.44/0.67 (define @t306 () (not (forall @t39 (not @t305)))) % 0.44/0.67 (define @t307 () (@var "BOUND_VARIABLE_7840" $$unsorted)) % 0.44/0.67 (define @t308 () (= @t19 @t307)) % 0.44/0.67 (define @t309 () (_ @t65 @t4 @t19)) % 0.44/0.67 (define @t310 () (not (forall @t68 (or (not @t309) @t308)))) % 0.44/0.67 (define @t311 () (_ @t65 @t4 @t307)) % 0.44/0.67 (define @t312 () (@list @t307)) % 0.44/0.67 (define @t313 () (not (forall @t312 (or (not @t311) @t310)))) % 0.44/0.67 (define @t314 () (forall @t9 (or @t232 @t313))) % 0.44/0.67 (define @t315 () (forall @t79 (or (not @t314) @t306))) % 0.44/0.67 (define @t316 () (@var "BOUND_VARIABLE_7821" $$unsorted)) % 0.44/0.67 (define @t317 () (tptp.in @t316 @t2)) % 0.44/0.67 (define @t318 () (not (tptp.in @t316 tptp.omega))) % 0.44/0.67 (define @t319 () (tptp.setadjoin @t4 @t4)) % 0.44/0.67 (define @t320 () (tptp.in @t319 @t2)) % 0.44/0.67 (define @t321 () (tptp.in @t4 tptp.omega)) % 0.44/0.67 (define @t322 () (not @t321)) % 0.44/0.67 (define @t323 () (forall @t9 (or @t322 @t232 @t320))) % 0.44/0.67 (define @t324 () (not @t323)) % 0.44/0.67 (define @t325 () (tptp.in tptp.emptyset @t2)) % 0.44/0.67 (define @t326 () (not @t325)) % 0.44/0.67 (define @t327 () (or @t326 @t324 @t318 @t317)) % 0.44/0.67 (define @t328 () (@list @t2 @t316)) % 0.44/0.67 (define @t329 () (forall @t328 @t327)) % 0.44/0.67 (define @t330 () (tptp.in @t319 tptp.omega)) % 0.44/0.67 (define @t331 () (forall @t9 (or @t322 @t330))) % 0.44/0.67 (define @t332 () (=> @t331 (=> @t329 (=> @t315 (=> @t302 (=> @t291 (=> @t238 (=> @t233 (=> @t231 (=> @t229 @t226)))))))))) % 0.44/0.67 (define @t333 () (tptp.in tptp.emptyset tptp.omega)) % 0.44/0.67 (define @t334 () (=> @t48 @t332)) % 0.44/0.67 (define @t335 () (tptp.setunion @t2)) % 0.44/0.67 (define @t336 () (tptp.in @t4 @t335)) % 0.44/0.67 (define @t337 () (not (forall @t39 (or @t293 @t297)))) % 0.44/0.67 (define @t338 () (forall @t44 (= @t337 @t336))) % 0.44/0.67 (define @t339 () (=> @t338 @t334)) % 0.44/0.67 (define @t340 () (tptp.powerset @t2)) % 0.44/0.67 (define @t341 () (tptp.in @t1 @t340)) % 0.44/0.67 (define @t342 () (forall @t9 (or @t293 @t230))) % 0.44/0.67 (define @t343 () (forall @t12 (= @t342 @t341))) % 0.44/0.67 (define @t344 () (=> @t343 @t339)) % 0.44/0.67 (define @t345 () (tptp.setadjoin @t4 @t2)) % 0.44/0.67 (define @t346 () (tptp.in @t19 @t345)) % 0.44/0.67 (define @t347 () (forall @t27 (= @t346 (or @t127 @t279)))) % 0.44/0.67 (define @t348 () (=> @t347 @t344)) % 0.44/0.67 (define @t349 () (=> @t222 @t348)) % 0.44/0.67 (define @t350 () (forall @t9 (= @t230 @t292))) % 0.44/0.67 (define @t351 () (forall @t12 (or (not @t350) @t3))) % 0.44/0.67 (define @t352 () (=> @t351 @t349)) % 0.44/0.67 (define @t353 () (=> @t229 (=> true @t226))) % 0.44/0.67 (define @t354 () (=> @t231 @t353)) % 0.44/0.67 (define @t355 () (=> @t233 @t354)) % 0.44/0.67 (define @t356 () (=> @t238 @t355)) % 0.44/0.67 (define @t357 () (=> @t291 @t356)) % 0.44/0.67 (define @t358 () (=> @t302 @t357)) % 0.44/0.67 (define @t359 () (=> @t315 @t358)) % 0.44/0.67 (define @t360 () (=> @t329 @t359)) % 0.44/0.67 (define @t361 () (=> @t331 @t360)) % 0.44/0.67 (define @t362 () (=> @t48 @t361)) % 0.44/0.67 (define @t363 () (=> @t338 @t362)) % 0.44/0.67 (define @t364 () (=> @t343 @t363)) % 0.44/0.67 (define @t365 () (=> @t347 @t364)) % 0.44/0.67 (define @t366 () (=> @t222 @t365)) % 0.44/0.67 (define @t367 () (=> @t351 @t366)) % 0.44/0.67 (define @t368 () (=> tptp.notinemptyset @t220)) % 0.44/0.67 (define @t369 () (=> tptp.emptysetimpfalse @t368)) % 0.44/0.67 (define @t370 () (not (= @t170 false))) % 0.44/0.67 (define @t371 () (or @t170 @t170)) % 0.44/0.67 (define @t372 () (=> tptp.emptysetE @t369)) % 0.44/0.67 (define @t373 () (@var "BOUND_VARIABLE_8235" $$unsorted)) % 0.44/0.67 (define @t374 () (@list @t373)) % 0.44/0.67 (define @t375 () (lambda @t374 false)) % 0.44/0.67 (define @t376 () (@list @t373)) % 0.44/0.67 (define @t377 () (tptp.dsetconstr @t225 @t375)) % 0.44/0.67 (define @t378 () (tptp.in @t4 @t377)) % 0.44/0.67 (define @t379 () (not @t378)) % 0.44/0.67 (define @t380 () (or @t379 false)) % 0.44/0.67 (define @t381 () (lambda @t374 @t170)) % 0.44/0.67 (define @t382 () (tptp.dsetconstr @t225 @t381)) % 0.44/0.67 (define @t383 () (tptp.in @t4 @t382)) % 0.44/0.67 (define @t384 () (not @t383)) % 0.44/0.67 (define @t385 () (or @t170 @t384 @t170)) % 0.44/0.67 (define @t386 () (or @t384 @t170)) % 0.44/0.67 (define @t387 () (forall @t175 @t386)) % 0.44/0.67 (define @t388 () (forall @t9 @t387)) % 0.44/0.67 (define @t389 () (forall (@list @t4 @t170) @t386)) % 0.44/0.67 (define @t390 () (_ @t209 @t381)) % 0.44/0.67 (define @t391 () (_ @t5 @t390)) % 0.44/0.67 (define @t392 () (not @t391)) % 0.44/0.67 (define @t393 () (or @t392 @t170)) % 0.44/0.67 (define @t394 () (@list @t4)) % 0.44/0.67 (define @t395 () (=> (_ @t5 @t210) @t170)) % 0.44/0.67 (define @t396 () (_ @t211 @t170)) % 0.44/0.67 (define @t397 () (=> (_ @t5 @t396) @t170)) % 0.44/0.67 (define @t398 () (forall @t172 @t397)) % 0.44/0.67 (define @t399 () (=> tptp.prop2setE @t372)) % 0.44/0.67 (define @t400 () (forall @t68 (or @t214 @t127))) % 0.44/0.67 (define @t401 () (not @t400)) % 0.44/0.67 (define @t402 () (forall @t9 (or @t217 @t401))) % 0.44/0.67 (define @t403 () (not @t402)) % 0.44/0.67 (define @t404 () (not @t403)) % 0.44/0.67 (define @t405 () (not @t142)) % 0.44/0.67 (define @t406 () (or @t405 @t401)) % 0.44/0.67 (define @t407 () (and @t142 @t400)) % 0.44/0.67 (define @t408 () (forall @t9 (not @t407))) % 0.44/0.67 (define @t409 () (not @t408)) % 0.44/0.67 (define @t410 () (not @t151)) % 0.44/0.67 (define @t411 () (or @t410 @t127)) % 0.44/0.67 (define @t412 () (_ @t143 @t19)) % 0.44/0.67 (define @t413 () (not @t412)) % 0.44/0.67 (define @t414 () (or @t413 @t127)) % 0.44/0.67 (define @t415 () (forall @t68 @t414)) % 0.44/0.67 (define @t416 () (not @t415)) % 0.44/0.67 (define @t417 () (_ @t143 @t4)) % 0.44/0.67 (define @t418 () (not @t417)) % 0.44/0.67 (define @t419 () (or @t418 @t416)) % 0.44/0.67 (define @t420 () (forall @t9 @t419)) % 0.44/0.67 (define @t421 () (not @t420)) % 0.44/0.67 (define @t422 () (lambda @t148 @t403)) % 0.44/0.67 (define @t423 () (_ @t422 @t143)) % 0.44/0.67 (define @t424 () (=> @t423 @t166)) % 0.44/0.67 (define @t425 () (forall @t148 @t424)) % 0.44/0.67 (define @t426 () (=> tptp.exuE1 @t399)) % 0.44/0.67 (define @t427 () (lambda @t68 @t213)) % 0.44/0.67 (define @t428 () (tptp.dsetconstr @t2 @t427)) % 0.44/0.67 (define @t429 () (tptp.in @t4 @t428)) % 0.44/0.67 (define @t430 () (not @t429)) % 0.44/0.67 (define @t431 () (or @t430 @t216)) % 0.44/0.67 (define @t432 () (not @t155)) % 0.44/0.67 (define @t433 () (or @t432 @t142)) % 0.44/0.67 (define @t434 () (=> tptp.dsetconstrER @t426)) % 0.44/0.67 (define @t435 () (or @t430 @t230)) % 0.44/0.67 (define @t436 () (or @t432 @t7)) % 0.44/0.67 (define @t437 () (=> tptp.dsetconstrEL @t434)) % 0.44/0.67 (define @t438 () (or @t232 @t217 @t429)) % 0.44/0.67 (define @t439 () (not @t7)) % 0.44/0.67 (define @t440 () (or @t439 @t405 @t155)) % 0.44/0.67 (define @t441 () (=> tptp.dsetconstrI @t437)) % 0.44/0.67 (define @t442 () (or @t214 (= @t234 @t19))) % 0.44/0.67 (define @t443 () (forall @t68 @t442)) % 0.44/0.67 (define @t444 () (not @t443)) % 0.44/0.67 (define @t445 () (or @t236 @t235 @t444)) % 0.44/0.67 (define @t446 () (or @t235 @t444)) % 0.44/0.67 (define @t447 () (or @t446 @t236)) % 0.44/0.67 (define @t448 () (forall @t237 @t447)) % 0.44/0.67 (define @t449 () (@list @t234)) % 0.44/0.67 (define @t450 () (forall @t449 @t447)) % 0.44/0.67 (define @t451 () (forall @t449 @t446)) % 0.44/0.67 (define @t452 () (or @t451 @t236)) % 0.44/0.67 (define @t453 () (lambda @t9 @t216)) % 0.44/0.67 (define @t454 () (tptp.descr @t453)) % 0.44/0.67 (define @t455 () (_ @t141 @t454)) % 0.44/0.67 (define @t456 () (or @t402 @t455)) % 0.44/0.67 (define @t457 () (or @t402 @t145)) % 0.44/0.67 (define @t458 () (=> @t423 @t145)) % 0.44/0.67 (define @t459 () (forall @t148 @t458)) % 0.44/0.67 (define @t460 () (=> tptp.descrp @t441)) % 0.44/0.67 (define @t461 () (and @t288 @t281 @t275 @t263)) % 0.44/0.67 (define @t462 () (forall @t39 (not @t461))) % 0.44/0.67 (define @t463 () (not @t462)) % 0.44/0.67 (define @t464 () (@list @t258)) % 0.44/0.67 (define @t465 () (forall @t464 @t262)) % 0.44/0.67 (define @t466 () (forall @t464 @t259)) % 0.44/0.67 (define @t467 () (or @t261 @t466 @t257)) % 0.44/0.67 (define @t468 () (forall @t9 @t254)) % 0.44/0.67 (define @t469 () (or @t261 @t468 @t257)) % 0.44/0.67 (define @t470 () (not @t468)) % 0.44/0.67 (define @t471 () (and @t260 @t470)) % 0.44/0.67 (define @t472 () (not @t107)) % 0.44/0.67 (define @t473 () (not @t108)) % 0.44/0.67 (define @t474 () (or @t473 @t472 @t252 @t248)) % 0.44/0.67 (define @t475 () (and @t108 @t107 @t251 @t247)) % 0.44/0.67 (define @t476 () (forall @t110 (not @t475))) % 0.44/0.67 (define @t477 () (not @t476)) % 0.44/0.67 (define @t478 () (or @t241 @t240)) % 0.44/0.67 (define @t479 () (or @t244 @t478 @t242)) % 0.44/0.67 (define @t480 () (forall @t246 @t479)) % 0.44/0.67 (define @t481 () (@list @t239)) % 0.44/0.67 (define @t482 () (forall @t481 @t479)) % 0.44/0.67 (define @t483 () (forall @t481 @t478)) % 0.44/0.67 (define @t484 () (or @t244 @t483 @t242)) % 0.44/0.67 (define @t485 () (tptp.in @t19 @t91)) % 0.44/0.67 (define @t486 () (forall @t68 (or (not @t485) @t250))) % 0.44/0.67 (define @t487 () (not @t98)) % 0.44/0.67 (define @t488 () (or @t487 @t486 @t92)) % 0.44/0.67 (define @t489 () (or @t486 @t92)) % 0.44/0.67 (define @t490 () (not @t95)) % 0.44/0.67 (define @t491 () (or @t490 @t94)) % 0.44/0.67 (define @t492 () (not @t103)) % 0.44/0.67 (define @t493 () (not @t94)) % 0.44/0.67 (define @t494 () (or @t493 @t492)) % 0.44/0.67 (define @t495 () (forall @t68 (not @t104))) % 0.44/0.67 (define @t496 () (not @t495)) % 0.44/0.67 (define @t497 () (forall @t9 @t472)) % 0.44/0.67 (define @t498 () (not @t497)) % 0.44/0.67 (define @t499 () (or @t472 @t7)) % 0.44/0.67 (define @t500 () (or @t267 @t266)) % 0.44/0.67 (define @t501 () (or @t270 @t269)) % 0.44/0.67 (define @t502 () (or @t272 @t256 @t501 @t500)) % 0.44/0.67 (define @t503 () (forall @t274 @t502)) % 0.44/0.67 (define @t504 () (forall (@list @t268 @t265) @t502)) % 0.44/0.67 (define @t505 () (forall (@list @t265) @t500)) % 0.44/0.67 (define @t506 () (forall (@list @t268) @t501)) % 0.44/0.67 (define @t507 () (or @t272 @t256 @t506 @t505)) % 0.44/0.67 (define @t508 () (tptp.in @t4 @t93)) % 0.44/0.67 (define @t509 () (forall @t9 (or (not @t508) @t253))) % 0.44/0.67 (define @t510 () (forall @t9 (or @t254 @t508))) % 0.44/0.67 (define @t511 () (not @t122)) % 0.44/0.67 (define @t512 () (or @t511 @t473 @t510 @t509)) % 0.44/0.67 (define @t513 () (or @t510 @t509)) % 0.44/0.67 (define @t514 () (not @t118)) % 0.44/0.67 (define @t515 () (or @t514 @t107)) % 0.44/0.67 (define @t516 () (or @t472 @t118)) % 0.44/0.67 (define @t517 () (not @t21)) % 0.44/0.67 (define @t518 () (or @t439 @t517 @t278 @t127)) % 0.44/0.67 (define @t519 () (=> @t277 @t127)) % 0.44/0.67 (define @t520 () (or @t511 @t128)) % 0.44/0.67 (define @t521 () (or @t285 @t284)) % 0.44/0.67 (define @t522 () (or @t272 @t521)) % 0.44/0.67 (define @t523 () (forall @t287 @t522)) % 0.44/0.67 (define @t524 () (@list @t283)) % 0.44/0.67 (define @t525 () (forall @t524 @t522)) % 0.44/0.67 (define @t526 () (forall @t524 @t521)) % 0.44/0.67 (define @t527 () (or @t272 @t526)) % 0.44/0.67 (define @t528 () (or @t511 @t260)) % 0.44/0.67 (define @t529 () (=> tptp.wellorderingAx @t460)) % 0.44/0.67 (define @t530 () (@list @t299)) % 0.44/0.67 (define @t531 () (forall @t530 @t301)) % 0.44/0.67 (define @t532 () (forall @t530 @t300)) % 0.44/0.67 (define @t533 () (or @t532 @t298)) % 0.44/0.67 (define @t534 () (forall @t9 @t232)) % 0.44/0.67 (define @t535 () (not @t534)) % 0.44/0.67 (define @t536 () (not @t37)) % 0.44/0.67 (define @t537 () (or @t536 @t295)) % 0.44/0.67 (define @t538 () (and @t37 @t294)) % 0.44/0.67 (define @t539 () (forall @t39 (not @t538))) % 0.44/0.67 (define @t540 () (not @t539)) % 0.44/0.67 (define @t541 () (not @t6)) % 0.44/0.67 (define @t542 () (or @t541 @t439)) % 0.44/0.67 (define @t543 () (forall @t9 (not @t82))) % 0.44/0.67 (define @t544 () (not @t543)) % 0.44/0.67 (define @t545 () (forall @t9 @t439)) % 0.44/0.67 (define @t546 () (not @t545)) % 0.44/0.67 (define @t547 () (=> tptp.foundationAx @t529)) % 0.44/0.67 (define @t548 () (= @t6 @t304)) % 0.44/0.67 (define @t549 () (not @t66)) % 0.44/0.67 (define @t550 () (or @t517 @t549)) % 0.44/0.67 (define @t551 () (forall @t68 (not @t67))) % 0.44/0.67 (define @t552 () (not @t551)) % 0.44/0.67 (define @t553 () (or @t439 @t313)) % 0.44/0.67 (define @t554 () (_ @t73 @t307)) % 0.44/0.67 (define @t555 () (not @t554)) % 0.44/0.67 (define @t556 () (or @t555 @t310)) % 0.44/0.67 (define @t557 () (not @t74)) % 0.44/0.67 (define @t558 () (or @t557 @t308)) % 0.44/0.67 (define @t559 () (_ @t75 @t19)) % 0.44/0.67 (define @t560 () (not @t559)) % 0.44/0.67 (define @t561 () (or @t560 @t308)) % 0.44/0.67 (define @t562 () (forall @t68 @t561)) % 0.44/0.67 (define @t563 () (not @t562)) % 0.44/0.67 (define @t564 () (_ @t75 @t307)) % 0.44/0.67 (define @t565 () (not @t564)) % 0.44/0.67 (define @t566 () (or @t565 @t563)) % 0.44/0.67 (define @t567 () (forall @t312 @t566)) % 0.44/0.67 (define @t568 () (not @t567)) % 0.44/0.67 (define @t569 () (not (_ @t141 @t307))) % 0.44/0.67 (define @t570 () (or @t214 (= @t307 @t19))) % 0.44/0.67 (define @t571 () (forall @t68 @t570)) % 0.44/0.67 (define @t572 () (not @t571)) % 0.44/0.67 (define @t573 () (or @t569 @t572)) % 0.44/0.67 (define @t574 () (forall @t312 @t573)) % 0.44/0.67 (define @t575 () (not @t574)) % 0.44/0.67 (define @t576 () (=> @t7 (_ @t422 @t75))) % 0.44/0.67 (define @t577 () (forall @t9 @t576)) % 0.44/0.67 (define @t578 () (=> @t577 @t72)) % 0.44/0.67 (define @t579 () (forall @t79 @t578)) % 0.44/0.67 (define @t580 () (=> tptp.replAx @t547)) % 0.44/0.67 (define @t581 () (or @t318 @t317)) % 0.44/0.67 (define @t582 () (or @t326 @t324 @t581)) % 0.44/0.67 (define @t583 () (forall @t328 @t582)) % 0.44/0.67 (define @t584 () (@list @t316)) % 0.44/0.67 (define @t585 () (forall @t584 @t582)) % 0.44/0.67 (define @t586 () (forall @t584 @t581)) % 0.44/0.67 (define @t587 () (or @t326 @t324 @t586)) % 0.44/0.67 (define @t588 () (forall @t9 (or @t322 @t230))) % 0.44/0.67 (define @t589 () (not @t59)) % 0.44/0.67 (define @t590 () (or @t589 @t324 @t588)) % 0.44/0.67 (define @t591 () (and @t59 @t323)) % 0.44/0.67 (define @t592 () (not @t52)) % 0.44/0.67 (define @t593 () (or @t592 @t7)) % 0.44/0.67 (define @t594 () (_ tptp.in @t319)) % 0.44/0.67 (define @t595 () (or @t592 @t439 @t56)) % 0.44/0.67 (define @t596 () (=> tptp.omegaIndAx @t580)) % 0.44/0.67 (define @t597 () (or @t592 @t51)) % 0.44/0.67 (define @t598 () (=> tptp.omegaSAx @t596)) % 0.44/0.67 (define @t599 () (=> tptp.omega0Ax @t598)) % 0.44/0.67 (define @t600 () (= @t42 @t337)) % 0.44/0.67 (define @t601 () (or @t541 @t536)) % 0.44/0.67 (define @t602 () (forall @t39 (not @t38))) % 0.44/0.67 (define @t603 () (not @t602)) % 0.44/0.67 (define @t604 () (=> tptp.setunionAx @t599)) % 0.44/0.67 (define @t605 () (= @t33 @t342)) % 0.44/0.67 (define @t606 () (or @t541 @t7)) % 0.44/0.67 (define @t607 () (=> tptp.powersetAx @t604)) % 0.44/0.67 (define @t608 () (or @t127 @t21)) % 0.44/0.67 (define @t609 () (= @t25 @t608)) % 0.44/0.67 (define @t610 () (=> tptp.setadjoinAx @t607)) % 0.44/0.67 (define @t611 () (=> tptp.emptysetAx @t610)) % 0.44/0.67 (define @t612 () (=> tptp.setextAx @t611)) % 0.44/0.67 (define @t613 () (or @t214 (= @t212 @t19))) % 0.44/0.67 (define @t614 () (forall @t68 @t613)) % 0.44/0.67 (define @t615 () (not @t614)) % 0.44/0.67 (define @t616 () (or @t218 @t215 @t615)) % 0.44/0.67 (define @t617 () (or @t215 @t615)) % 0.44/0.67 (define @t618 () (or @t617 @t218)) % 0.44/0.67 (define @t619 () (forall @t219 @t618)) % 0.44/0.67 (define @t620 () (@list @t212)) % 0.44/0.67 (define @t621 () (forall @t620 @t618)) % 0.44/0.67 (define @t622 () (forall @t620 @t617)) % 0.44/0.67 (define @t623 () (or @t622 @t218)) % 0.44/0.67 (define @t624 () (forall @t9 @t405)) % 0.44/0.67 (define @t625 () (not @t624)) % 0.44/0.67 (define @t626 () (=> @t423 @t182)) % 0.44/0.67 (define @t627 () (forall @t148 @t626)) % 0.44/0.67 (define @t628 () (=> tptp.notinemptyset @t627)) % 0.44/0.67 (define @t629 () (=> tptp.emptysetimpfalse @t628)) % 0.44/0.67 (define @t630 () (=> tptp.emptysetE @t629)) % 0.44/0.67 (define @t631 () (=> tptp.prop2setE @t630)) % 0.44/0.67 (define @t632 () (=> tptp.exuE1 @t631)) % 0.44/0.67 (define @t633 () (=> tptp.dsetconstrER @t632)) % 0.44/0.67 (define @t634 () (=> tptp.dsetconstrEL @t633)) % 0.44/0.67 (define @t635 () (=> tptp.dsetconstrI @t634)) % 0.44/0.67 (define @t636 () (=> tptp.descrp @t635)) % 0.44/0.67 (define @t637 () (=> tptp.wellorderingAx @t636)) % 0.44/0.67 (define @t638 () (=> tptp.foundationAx @t637)) % 0.44/0.67 (define @t639 () (=> tptp.replAx @t638)) % 0.44/0.67 (define @t640 () (=> tptp.omegaIndAx @t639)) % 0.44/0.67 (define @t641 () (=> tptp.omegaSAx @t640)) % 0.44/0.67 (define @t642 () (=> tptp.omega0Ax @t641)) % 0.44/0.67 (define @t643 () (=> tptp.setunionAx @t642)) % 0.44/0.67 (define @t644 () (=> tptp.powersetAx @t643)) % 0.44/0.67 (define @t645 () (=> tptp.setadjoinAx @t644)) % 0.44/0.67 (define @t646 () (=> tptp.emptysetAx @t645)) % 0.44/0.67 (define @t647 () (=> tptp.setextAx @t646)) % 0.44/0.67 (define @t648 () (@quantifiers_skolemize @t220 0)) % 0.44/0.67 (define @t649 () (forall @t9 (not (_ @t648 @t4)))) % 0.44/0.67 (define @t650 () (@quantifiers_skolemize @t220 1)) % 0.44/0.67 (define @t651 () (_ @t648 @t650)) % 0.44/0.67 (define @t652 () (not @t651)) % 0.44/0.67 (define @t653 () (not @t649)) % 0.44/0.67 (define @t654 () (or @t653 @t652 (not (forall @t68 (or (not (_ @t648 @t19)) (= @t19 @t650)))))) % 0.44/0.67 (define @t655 () (@list true)) % 0.44/0.67 (define @t656 () (@list @t654)) % 0.44/0.67 (assume @p1 @t14) % 0.44/0.67 (assume @p2 @t18) % 0.44/0.67 (assume @p3 @t29) % 0.44/0.67 (assume @p4 @t36) % 0.44/0.67 (assume @p5 @t46) % 0.44/0.67 (assume @p6 (= tptp.omega0Ax @t48)) % 0.44/0.67 (assume @p7 @t54) % 0.44/0.67 (assume @p8 @t64) % 0.44/0.67 (assume @p9 @t81) % 0.44/0.67 (assume @p10 @t90) % 0.44/0.67 (assume @p11 @t140) % 0.44/0.67 (assume @p12 @t150) % 0.44/0.67 (assume @p13 @t159) % 0.44/0.67 (assume @p14 @t161) % 0.44/0.67 (assume @p15 @t163) % 0.44/0.67 (assume @p16 @t169) % 0.44/0.67 (assume @p17 @t174) % 0.44/0.67 (assume @p18 @t179) % 0.44/0.67 (assume @p19 @t181) % 0.44/0.67 (assume @p20 (= tptp.notinemptyset @t17)) % 0.44/0.67 (assume @p21 @t205) % 0.44/0.67 (assume @p22 true) % 0.44/0.67 (step @p23 (= tptp.exu @t206) :rule refl :args (@t206)) % 0.44/0.67 (step @p24 (= tptp.prop2set @t211) :rule refl :args (@t211)) % 0.44/0.67 (step @p25 :rule refl :args (@t332)) % 0.44/0.67 (step @p26 :rule refl :args (@t333)) % 0.44/0.67 (step @p27 :rule refl :args (@t48)) % 0.44/0.67 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t48 @t333))) % 0.44/0.67 (step @p29 :rule symm :premises (@p28)) % 0.44/0.67 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.44/0.67 (step @p31 :rule cong :premises (@p30 @p25) :args (@t334)) % 0.44/0.67 (step @p32 :rule refl :args (@t338)) % 0.44/0.67 (step @p33 :rule cong :premises (@p32 @p31) :args (@t339)) % 0.44/0.67 (step @p34 :rule refl :args (@t343)) % 0.44/0.67 (step @p35 :rule cong :premises (@p34 @p33) :args (@t344)) % 0.44/0.67 (step @p36 :rule refl :args (@t347)) % 0.44/0.67 (step @p37 :rule cong :premises (@p36 @p35) :args (@t348)) % 0.44/0.67 (step @p38 :rule refl :args (@t222)) % 0.44/0.67 (step @p39 :rule cong :premises (@p38 @p37) :args (@t349)) % 0.44/0.67 (step @p40 :rule refl :args (@t351)) % 0.44/0.67 (step @p41 :rule cong :premises (@p40 @p39) :args (@t352)) % 0.44/0.67 (step @p42 :rule cong :premises (@p41) :args ((not @t352))) % 0.44/0.67 (step @p43 :rule bool-impl-true2 :args (@t226)) % 0.44/0.67 (step @p44 :rule refl :args (@t229)) % 0.44/0.67 (step @p45 :rule cong :premises (@p44 @p43) :args (@t353)) % 0.44/0.67 (step @p46 :rule refl :args (@t231)) % 0.44/0.67 (step @p47 :rule cong :premises (@p46 @p45) :args (@t354)) % 0.44/0.67 (step @p48 :rule refl :args (@t233)) % 0.44/0.67 (step @p49 :rule cong :premises (@p48 @p47) :args (@t355)) % 0.44/0.67 (step @p50 :rule refl :args (@t238)) % 0.44/0.67 (step @p51 :rule cong :premises (@p50 @p49) :args (@t356)) % 0.44/0.67 (step @p52 :rule refl :args (@t291)) % 0.44/0.67 (step @p53 :rule cong :premises (@p52 @p51) :args (@t357)) % 0.44/0.67 (step @p54 :rule refl :args (@t302)) % 0.44/0.67 (step @p55 :rule cong :premises (@p54 @p53) :args (@t358)) % 0.44/0.67 (step @p56 :rule refl :args (@t315)) % 0.44/0.67 (step @p57 :rule cong :premises (@p56 @p55) :args (@t359)) % 0.44/0.67 (step @p58 :rule refl :args (@t329)) % 0.44/0.67 (step @p59 :rule cong :premises (@p58 @p57) :args (@t360)) % 0.44/0.67 (step @p60 :rule refl :args (@t331)) % 0.44/0.67 (step @p61 :rule cong :premises (@p60 @p59) :args (@t361)) % 0.44/0.67 (step @p62 :rule refl :args (@t48)) % 0.44/0.67 (step @p63 :rule cong :premises (@p62 @p61) :args (@t362)) % 0.44/0.67 (step @p64 :rule cong :premises (@p32 @p63) :args (@t363)) % 0.44/0.67 (step @p65 :rule cong :premises (@p34 @p64) :args (@t364)) % 0.44/0.67 (step @p66 :rule cong :premises (@p36 @p65) :args (@t365)) % 0.44/0.67 (step @p67 :rule cong :premises (@p38 @p66) :args (@t366)) % 0.44/0.67 (step @p68 :rule cong :premises (@p40 @p67) :args (@t367)) % 0.44/0.67 (step @p69 :rule cong :premises (@p68) :args ((not @t367))) % 0.44/0.67 (step @p70 :rule refl :args (@t220)) % 0.44/0.67 (step @p71 :rule eq-symm :args (@t222 tptp.notinemptyset)) % 0.44/0.67 (step @p72 :rule refl :args (tptp.notinemptyset)) % 0.44/0.67 (step @p73 :rule refl :args (@t221)) % 0.44/0.67 (step @p74 :rule refl :args (@t15)) % 0.44/0.67 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t15 @t221))) % 0.44/0.67 (step @p76 :rule symm :premises (@p75)) % 0.44/0.67 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.44/0.67 (step @p78 :rule cong :premises (@p77) :args (@t16)) % 0.44/0.67 (step @p79 :rule cong :premises (@p78) :args (@t17)) % 0.44/0.67 (step @p80 :rule cong :premises (@p79 @p72) :args ((= @t17 tptp.notinemptyset))) % 0.44/0.67 (step @p81 :rule trans :premises (@p80 @p71)) % 0.44/0.67 (step @p82 :rule eq-symm :args (tptp.notinemptyset @t17)) % 0.44/0.67 (step @p83 :rule trans :premises (@p82 @p81)) % 0.44/0.67 (step @p84 :rule eq_resolve :premises (@p20 @p83)) % 0.44/0.67 (step @p85 :rule cong :premises (@p84 @p70) :args (@t368)) % 0.44/0.67 (step @p86 :rule bool-impl-false1 :args (@t15)) % 0.44/0.67 (step @p87 :rule cong :premises (@p86) :args (@t180)) % 0.44/0.67 (step @p88 :rule trans :premises (@p87 @p79)) % 0.44/0.67 (step @p89 :rule refl :args (tptp.emptysetimpfalse)) % 0.44/0.67 (step @p90 :rule cong :premises (@p89 @p88) :args (@t181)) % 0.44/0.67 (step @p91 :rule eq_resolve :premises (@p19 @p90)) % 0.44/0.67 (step @p92 :rule cong :premises (@p91 @p85) :args (@t369)) % 0.44/0.67 (step @p93 :rule quant-var-elim-eq :args ((= (forall @t175 (or @t370 @t170)) false))) % 0.44/0.67 (step @p94 :rule refl :args (@t170)) % 0.44/0.67 (step @p95 :rule bool-eq-false :args (@t170)) % 0.44/0.67 (step @p96 :rule symm :premises (@p95)) % 0.44/0.67 (step @p97 :rule cong :premises (@p96) :args ((not (not @t170)))) % 0.44/0.67 (step @p98 :rule bool-double-not-elim :args (@t170)) % 0.44/0.67 (step @p99 :rule symm :premises (@p98)) % 0.44/0.67 (step @p100 :rule trans :premises (@p99 @p97)) % 0.44/0.67 (step @p101 :rule nary_cong :premises (@p100 @p94) :args (@t371)) % 0.44/0.67 (step @p102 :rule aci_norm :args ((= @t170 @t371))) % 0.44/0.67 (step @p103 :rule trans :premises (@p102 @p101)) % 0.44/0.67 (step @p104 :rule cong :premises (@p103) :args (@t176)) % 0.44/0.67 (step @p105 :rule trans :premises (@p104 @p93)) % 0.44/0.67 (step @p106 :rule refl :args (@t15)) % 0.44/0.67 (step @p107 :rule cong :premises (@p106 @p105) :args (@t177)) % 0.44/0.67 (step @p108 :rule trans :premises (@p107 @p86)) % 0.44/0.67 (step @p109 :rule cong :premises (@p108) :args (@t178)) % 0.44/0.67 (step @p110 :rule trans :premises (@p109 @p79)) % 0.44/0.67 (step @p111 :rule refl :args (tptp.emptysetE)) % 0.44/0.67 (step @p112 :rule cong :premises (@p111 @p110) :args (@t179)) % 0.44/0.67 (step @p113 :rule eq_resolve :premises (@p18 @p112)) % 0.44/0.67 (step @p114 :rule cong :premises (@p113 @p92) :args (@t372)) % 0.44/0.67 (step @p115 :rule refl :args (@t224)) % 0.44/0.67 (step @p116 :rule symm :premises (@p115)) % 0.44/0.67 (step @p117 :rule alpha_equiv :args (@t375 @t376 (@list @t223))) % 0.44/0.67 (step @p118 :rule trans :premises (@p117 @p116)) % 0.44/0.67 (step @p119 :rule refl :args (@t225)) % 0.44/0.67 (step @p120 :rule cong :premises (@p119 @p118) :args (@t377)) % 0.44/0.67 (step @p121 :rule refl :args (@t4)) % 0.44/0.67 (step @p122 :rule cong :premises (@p121 @p120) :args (@t378)) % 0.44/0.67 (step @p123 :rule cong :premises (@p122) :args (@t379)) % 0.44/0.67 (step @p124 :rule aci_norm :args ((= @t380 @t379))) % 0.44/0.67 (step @p125 :rule trans :premises (@p124 @p123)) % 0.44/0.67 (step @p126 :rule cong :premises (@p125) :args ((forall @t9 @t380))) % 0.44/0.67 (step @p127 :rule quant-var-elim-eq :args ((= (forall @t175 (or @t370 @t384 @t170)) @t380))) % 0.44/0.67 (step @p128 :rule refl :args (@t384)) % 0.44/0.67 (step @p129 :rule nary_cong :premises (@p100 @p128 @p94) :args (@t385)) % 0.44/0.67 (step @p130 :rule aci_norm :args ((= @t386 @t385))) % 0.44/0.67 (step @p131 :rule trans :premises (@p130 @p129)) % 0.44/0.67 (step @p132 :rule cong :premises (@p131) :args (@t387)) % 0.44/0.67 (step @p133 :rule trans :premises (@p132 @p127)) % 0.44/0.67 (step @p134 :rule cong :premises (@p133) :args (@t388)) % 0.44/0.67 (step @p135 :rule quant-merge-prenex :args ((= @t388 @t389))) % 0.44/0.67 (step @p136 :rule symm :premises (@p135)) % 0.44/0.67 (step @p137 :rule quant_var_reordering :args ((= (forall @t172 @t386) @t389))) % 0.44/0.67 (step @p138 :rule trans :premises (@p137 @p136 @p134)) % 0.44/0.67 (step @p139 :rule trans :premises (@p138 @p126)) % 0.44/0.67 (step @p140 :rule refl :args ((tptp.in @t4 @t390))) % 0.44/0.67 (step @p141 :rule refl :args ((tptp.dsetconstr @t208 @t381))) % 0.44/0.67 (step @p142 :rule refl :args (@t381)) % 0.44/0.67 (step @p143 :rule refl :args (@t225)) % 0.44/0.67 (step @p144 :rule cong :premises (@p143 @p142) :args (@t382)) % 0.44/0.67 (step @p145 :rule trans :premises (@p144 @p141)) % 0.44/0.67 (step @p146 :rule refl :args (@t4)) % 0.44/0.67 (step @p147 :rule cong :premises (@p146 @p145) :args (@t383)) % 0.44/0.67 (step @p148 :rule trans :premises (@p147 @p140)) % 0.44/0.67 (step @p149 :rule refl :args (@t5)) % 0.44/0.67 (step @p150 :rule ho_cong :premises (@p149 @p145)) % 0.44/0.67 (step @p151 :rule cong :premises (@p150 @p148) :args ((= (_ @t5 @t382) @t383))) % 0.44/0.67 (step @p152 :rule symm :premises (@p151)) % 0.44/0.67 (step @p153 :rule refl :args (@t391)) % 0.44/0.67 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.44/0.67 (step @p155 :rule refl :args (tptp.dsetconstr)) % 0.44/0.67 (step @p156 :rule ho_cong :premises (@p155 @p143)) % 0.44/0.67 (step @p157 :rule ho_cong :premises (@p156 @p142)) % 0.44/0.67 (step @p158 :rule cong :premises (@p157 @p145) :args ((= (_ (_ tptp.dsetconstr @t225) @t381) @t382))) % 0.44/0.67 (step @p159 :rule symm :premises (@p158)) % 0.44/0.67 (step @p160 :rule refl :args (@t390)) % 0.44/0.67 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.44/0.67 (step @p162 :rule refl :args (@t208)) % 0.44/0.67 (step @p163 :rule cong :premises (@p162 @p143) :args ((= @t208 @t225))) % 0.44/0.67 (step @p164 :rule symm :premises (@p163)) % 0.44/0.67 (step @p165 :rule eq_resolve :premises (@p162 @p164)) % 0.44/0.67 (step @p166 :rule ho_cong :premises (@p155 @p165)) % 0.44/0.67 (step @p167 :rule ho_cong :premises (@p166 @p142)) % 0.44/0.67 (step @p168 :rule trans :premises (@p167 @p161)) % 0.44/0.67 (step @p169 :rule ho_cong :premises (@p149 @p168)) % 0.44/0.67 (step @p170 :rule trans :premises (@p169 @p154)) % 0.44/0.67 (step @p171 :rule cong :premises (@p170) :args (@t392)) % 0.44/0.67 (step @p172 :rule nary_cong :premises (@p171 @p94) :args (@t393)) % 0.44/0.67 (step @p173 :rule cong :premises (@p172) :args ((forall @t172 @t393))) % 0.44/0.67 (step @p174 :rule trans :premises (@p173 @p139)) % 0.44/0.67 (step @p175 :rule bool-impl-elim :args (@t391 @t170)) % 0.44/0.67 (step @p176 :rule cong :premises (@p175) :args ((forall @t172 (=> @t391 @t170)))) % 0.44/0.67 (step @p177 :rule trans :premises (@p176 @p174)) % 0.44/0.67 (step @p178 :rule alpha_equiv :args (@t207 @t394 @t376)) % 0.44/0.67 (step @p179 :rule refl :args (@t209)) % 0.44/0.67 (step @p180 :rule ho_cong :premises (@p179 @p178)) % 0.44/0.67 (step @p181 :rule ho_cong :premises (@p149 @p180)) % 0.44/0.67 (step @p182 :rule cong :premises (@p181 @p94) :args (@t395)) % 0.44/0.67 (step @p183 :rule cong :premises (@p182) :args ((forall @t172 @t395))) % 0.44/0.67 (step @p184 :rule trans :premises (@p183 @p177)) % 0.44/0.67 (step @p185 :rule refl :args (@t170)) % 0.44/0.67 (step @p186 :rule beta-reduce :args ((= @t396 @t210))) % 0.44/0.67 (step @p187 :rule refl :args (@t5)) % 0.44/0.67 (step @p188 :rule ho_cong :premises (@p187 @p186)) % 0.44/0.67 (step @p189 :rule cong :premises (@p188 @p185) :args (@t397)) % 0.44/0.67 (step @p190 :rule cong :premises (@p189) :args (@t398)) % 0.44/0.67 (step @p191 :rule trans :premises (@p190 @p184)) % 0.44/0.67 (step @p192 :rule refl :args (tptp.prop2setE)) % 0.44/0.67 (step @p193 :rule cong :premises (@p192 @p191) :args ((= tptp.prop2setE @t398))) % 0.44/0.67 (step @p194 :rule ho_cong :premises (@p24 @p185)) % 0.44/0.67 (step @p195 :rule ho_cong :premises (@p187 @p194)) % 0.44/0.67 (step @p196 :rule cong :premises (@p195 @p185) :args (@t171)) % 0.44/0.67 (step @p197 :rule cong :premises (@p196) :args (@t173)) % 0.44/0.67 (step @p198 :rule cong :premises (@p192 @p197) :args (@t174)) % 0.44/0.67 (step @p199 :rule trans :premises (@p198 @p193)) % 0.44/0.67 (step @p200 :rule eq_resolve :premises (@p17 @p199)) % 0.44/0.67 (step @p201 :rule cong :premises (@p200 @p114) :args (@t399)) % 0.44/0.67 (step @p202 :rule bool-eq-true :args (tptp.exuE1)) % 0.44/0.67 (step @p203 :rule symm :premises (@p202)) % 0.44/0.67 (step @p204 :rule quant-unused-vars :args ((= (forall @t148 true) true))) % 0.44/0.67 (step @p205 :rule bool-or-taut :args (false @t402 false false)) % 0.44/0.67 (step @p206 :rule refl :args (@t403)) % 0.44/0.67 (step @p207 :rule bool-double-not-elim :args (@t402)) % 0.44/0.67 (step @p208 :rule nary_cong :premises (@p207 @p206) :args ((or @t404 @t403))) % 0.44/0.67 (step @p209 :rule bool-impl-elim :args (@t403 @t403)) % 0.44/0.67 (step @p210 :rule trans :premises (@p209 @p208)) % 0.44/0.67 (step @p211 :rule trans :premises (@p210 @p205)) % 0.44/0.67 (step @p212 :rule cong :premises (@p211) :args ((forall @t148 (=> @t403 @t403)))) % 0.44/0.67 (step @p213 :rule trans :premises (@p212 @p204)) % 0.44/0.67 (step @p214 :rule refl :args (@t401)) % 0.44/0.67 (step @p215 :rule refl :args (@t216)) % 0.44/0.67 (step @p216 :rule refl :args (@t142)) % 0.44/0.67 (step @p217 :rule cong :premises (@p216 @p215) :args ((= @t142 @t216))) % 0.44/0.67 (step @p218 :rule symm :premises (@p217)) % 0.44/0.67 (step @p219 :rule eq_resolve :premises (@p216 @p218)) % 0.44/0.67 (step @p220 :rule cong :premises (@p219) :args (@t405)) % 0.44/0.67 (step @p221 :rule nary_cong :premises (@p220 @p214) :args (@t406)) % 0.44/0.67 (step @p222 :rule cong :premises (@p221) :args ((forall @t9 @t406))) % 0.44/0.67 (step @p223 :rule bool-and-de-morgan :args (@t142 @t400 true)) % 0.44/0.67 (step @p224 :rule cong :premises (@p223) :args (@t408)) % 0.44/0.67 (step @p225 :rule trans :premises (@p224 @p222)) % 0.44/0.67 (step @p226 :rule cong :premises (@p225) :args (@t409)) % 0.44/0.67 (step @p227 :rule exists-elim :args ((= (exists @t9 @t407) @t409))) % 0.44/0.67 (step @p228 :rule trans :premises (@p227 @p226)) % 0.44/0.67 (step @p229 :rule refl :args (@t127)) % 0.44/0.67 (step @p230 :rule refl :args (@t213)) % 0.44/0.67 (step @p231 :rule refl :args (@t151)) % 0.44/0.67 (step @p232 :rule cong :premises (@p231 @p230) :args ((= @t151 @t213))) % 0.44/0.67 (step @p233 :rule symm :premises (@p232)) % 0.44/0.67 (step @p234 :rule eq_resolve :premises (@p231 @p233)) % 0.44/0.67 (step @p235 :rule cong :premises (@p234) :args (@t410)) % 0.44/0.67 (step @p236 :rule nary_cong :premises (@p235 @p229) :args (@t411)) % 0.44/0.67 (step @p237 :rule cong :premises (@p236) :args ((forall @t68 @t411))) % 0.44/0.67 (step @p238 :rule bool-impl-elim :args (@t151 @t127)) % 0.44/0.67 (step @p239 :rule cong :premises (@p238) :args (@t164)) % 0.44/0.67 (step @p240 :rule trans :premises (@p239 @p237)) % 0.44/0.67 (step @p241 :rule refl :args (@t142)) % 0.44/0.67 (step @p242 :rule nary_cong :premises (@p241 @p240) :args (@t165)) % 0.44/0.67 (step @p243 :rule cong :premises (@p242) :args (@t166)) % 0.44/0.67 (step @p244 :rule trans :premises (@p243 @p228)) % 0.44/0.67 (step @p245 :rule refl :args (@t127)) % 0.44/0.67 (step @p246 :rule beta-reduce :args ((= @t412 @t151))) % 0.44/0.67 (step @p247 :rule cong :premises (@p246) :args (@t413)) % 0.44/0.67 (step @p248 :rule nary_cong :premises (@p247 @p245) :args (@t414)) % 0.44/0.67 (step @p249 :rule cong :premises (@p248) :args (@t415)) % 0.44/0.67 (step @p250 :rule trans :premises (@p249 @p237)) % 0.44/0.67 (step @p251 :rule cong :premises (@p250) :args (@t416)) % 0.44/0.67 (step @p252 :rule beta-reduce :args ((= @t417 @t142))) % 0.44/0.67 (step @p253 :rule cong :premises (@p252) :args (@t418)) % 0.44/0.67 (step @p254 :rule nary_cong :premises (@p253 @p251) :args (@t419)) % 0.44/0.67 (step @p255 :rule cong :premises (@p254) :args (@t420)) % 0.44/0.67 (step @p256 :rule trans :premises (@p255 @p222)) % 0.44/0.67 (step @p257 :rule cong :premises (@p256) :args (@t421)) % 0.44/0.67 (step @p258 :rule beta-reduce :args ((= @t423 @t421))) % 0.44/0.67 (step @p259 :rule trans :premises (@p258 @p257)) % 0.44/0.67 (step @p260 :rule cong :premises (@p259 @p244) :args (@t424)) % 0.44/0.67 (step @p261 :rule cong :premises (@p260) :args (@t425)) % 0.44/0.67 (step @p262 :rule trans :premises (@p261 @p213)) % 0.44/0.67 (step @p263 :rule refl :args (tptp.exuE1)) % 0.44/0.67 (step @p264 :rule cong :premises (@p263 @p262) :args ((= tptp.exuE1 @t425))) % 0.44/0.67 (step @p265 :rule trans :premises (@p264 @p202)) % 0.44/0.67 (step @p266 :rule refl :args (@t166)) % 0.44/0.67 (step @p267 :rule refl :args (@t143)) % 0.44/0.67 (step @p268 :rule cong :premises (@p244) :args (@t206)) % 0.44/0.67 (step @p269 :rule trans :premises (@p23 @p268)) % 0.44/0.67 (step @p270 :rule ho_cong :premises (@p269 @p267)) % 0.44/0.67 (step @p271 :rule cong :premises (@p270 @p266) :args (@t167)) % 0.44/0.67 (step @p272 :rule cong :premises (@p271) :args (@t168)) % 0.44/0.67 (step @p273 :rule cong :premises (@p263 @p272) :args (@t169)) % 0.44/0.67 (step @p274 :rule trans :premises (@p273 @p265)) % 0.44/0.67 (step @p275 :rule eq_resolve :premises (@p16 @p274)) % 0.44/0.67 (step @p276 :rule eq_resolve :premises (@p275 @p203)) % 0.44/0.67 (step @p277 :rule cong :premises (@p276 @p201) :args (@t426)) % 0.44/0.67 (step @p278 :rule refl :args (@t216)) % 0.44/0.67 (step @p279 :rule lambda-elim :args ((= @t427 @t141))) % 0.44/0.67 (step @p280 :rule refl :args (@t2)) % 0.44/0.67 (step @p281 :rule cong :premises (@p280 @p279) :args (@t428)) % 0.44/0.67 (step @p282 :rule cong :premises (@p121 @p281) :args (@t429)) % 0.44/0.67 (step @p283 :rule cong :premises (@p282) :args (@t430)) % 0.44/0.67 (step @p284 :rule nary_cong :premises (@p283 @p278) :args (@t431)) % 0.44/0.67 (step @p285 :rule cong :premises (@p284) :args ((forall @t157 @t431))) % 0.44/0.67 (step @p286 :rule refl :args ((tptp.in @t4 @t154))) % 0.44/0.67 (step @p287 :rule refl :args ((tptp.dsetconstr @t2 @t152))) % 0.44/0.67 (step @p288 :rule cong :premises (@p230) :args (@t427)) % 0.44/0.67 (step @p289 :rule refl :args (@t2)) % 0.44/0.67 (step @p290 :rule cong :premises (@p289 @p288) :args (@t428)) % 0.44/0.67 (step @p291 :rule trans :premises (@p290 @p287)) % 0.44/0.67 (step @p292 :rule cong :premises (@p146 @p291) :args (@t429)) % 0.44/0.67 (step @p293 :rule trans :premises (@p292 @p286)) % 0.44/0.67 (step @p294 :rule ho_cong :premises (@p149 @p291)) % 0.44/0.67 (step @p295 :rule cong :premises (@p294 @p293) :args ((= (_ @t5 @t428) @t429))) % 0.44/0.67 (step @p296 :rule symm :premises (@p295)) % 0.44/0.67 (step @p297 :rule refl :args (@t155)) % 0.44/0.67 (step @p298 :rule eq_resolve :premises (@p297 @p296)) % 0.44/0.67 (step @p299 :rule refl :args (@t153)) % 0.44/0.67 (step @p300 :rule ho_cong :premises (@p299 @p288)) % 0.44/0.67 (step @p301 :rule cong :premises (@p300 @p291) :args ((= (_ @t153 @t427) @t428))) % 0.44/0.67 (step @p302 :rule symm :premises (@p301)) % 0.44/0.67 (step @p303 :rule refl :args (@t154)) % 0.44/0.67 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 0.44/0.67 (step @p305 :rule cong :premises (@p234) :args (@t152)) % 0.44/0.67 (step @p306 :rule ho_cong :premises (@p299 @p305)) % 0.44/0.67 (step @p307 :rule trans :premises (@p306 @p304)) % 0.44/0.67 (step @p308 :rule ho_cong :premises (@p149 @p307)) % 0.44/0.67 (step @p309 :rule trans :premises (@p308 @p298)) % 0.44/0.67 (step @p310 :rule cong :premises (@p309) :args (@t432)) % 0.44/0.67 (step @p311 :rule nary_cong :premises (@p310 @p219) :args (@t433)) % 0.44/0.67 (step @p312 :rule cong :premises (@p311) :args ((forall @t157 @t433))) % 0.44/0.67 (step @p313 :rule trans :premises (@p312 @p285)) % 0.44/0.67 (step @p314 :rule bool-impl-elim :args (@t155 @t142)) % 0.44/0.67 (step @p315 :rule cong :premises (@p314) :args (@t162)) % 0.44/0.67 (step @p316 :rule trans :premises (@p315 @p313)) % 0.44/0.67 (step @p317 :rule refl :args (tptp.dsetconstrER)) % 0.44/0.67 (step @p318 :rule cong :premises (@p317 @p316) :args (@t163)) % 0.44/0.67 (step @p319 :rule eq_resolve :premises (@p15 @p318)) % 0.44/0.67 (step @p320 :rule cong :premises (@p319 @p277) :args (@t434)) % 0.44/0.67 (step @p321 :rule refl :args (@t230)) % 0.44/0.67 (step @p322 :rule nary_cong :premises (@p283 @p321) :args (@t435)) % 0.44/0.67 (step @p323 :rule cong :premises (@p322) :args ((forall @t157 @t435))) % 0.44/0.67 (step @p324 :rule refl :args (@t230)) % 0.44/0.67 (step @p325 :rule refl :args (@t7)) % 0.44/0.67 (step @p326 :rule cong :premises (@p325 @p324) :args ((= @t7 @t230))) % 0.44/0.67 (step @p327 :rule symm :premises (@p326)) % 0.44/0.67 (step @p328 :rule eq_resolve :premises (@p325 @p327)) % 0.44/0.67 (step @p329 :rule nary_cong :premises (@p310 @p328) :args (@t436)) % 0.44/0.67 (step @p330 :rule cong :premises (@p329) :args ((forall @t157 @t436))) % 0.44/0.67 (step @p331 :rule trans :premises (@p330 @p323)) % 0.44/0.67 (step @p332 :rule bool-impl-elim :args (@t155 @t7)) % 0.44/0.67 (step @p333 :rule cong :premises (@p332) :args (@t160)) % 0.44/0.67 (step @p334 :rule trans :premises (@p333 @p331)) % 0.44/0.67 (step @p335 :rule refl :args (tptp.dsetconstrEL)) % 0.44/0.67 (step @p336 :rule cong :premises (@p335 @p334) :args (@t161)) % 0.44/0.67 (step @p337 :rule eq_resolve :premises (@p14 @p336)) % 0.44/0.67 (step @p338 :rule cong :premises (@p337 @p320) :args (@t437)) % 0.44/0.67 (step @p339 :rule refl :args (@t217)) % 0.44/0.67 (step @p340 :rule refl :args (@t232)) % 0.44/0.67 (step @p341 :rule nary_cong :premises (@p340 @p339 @p282) :args (@t438)) % 0.44/0.67 (step @p342 :rule cong :premises (@p341) :args ((forall @t157 @t438))) % 0.44/0.67 (step @p343 :rule cong :premises (@p328) :args (@t439)) % 0.44/0.67 (step @p344 :rule nary_cong :premises (@p343 @p220 @p309) :args (@t440)) % 0.44/0.67 (step @p345 :rule cong :premises (@p344) :args ((forall @t157 @t440))) % 0.44/0.67 (step @p346 :rule trans :premises (@p345 @p342)) % 0.44/0.67 (step @p347 :rule aci_norm :args ((= (or @t439 (or @t405 @t155)) @t440))) % 0.44/0.67 (step @p348 :rule bool-impl-elim :args (@t142 @t155)) % 0.44/0.67 (step @p349 :rule refl :args (@t439)) % 0.44/0.67 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or @t439 @t156))) % 0.44/0.67 (step @p351 :rule trans :premises (@p350 @p347)) % 0.44/0.67 (step @p352 :rule bool-impl-elim :args (@t7 @t156)) % 0.44/0.67 (step @p353 :rule trans :premises (@p352 @p351)) % 0.44/0.67 (step @p354 :rule cong :premises (@p353) :args (@t158)) % 0.44/0.67 (step @p355 :rule trans :premises (@p354 @p346)) % 0.44/0.67 (step @p356 :rule refl :args (tptp.dsetconstrI)) % 0.44/0.67 (step @p357 :rule cong :premises (@p356 @p355) :args (@t159)) % 0.44/0.67 (step @p358 :rule eq_resolve :premises (@p13 @p357)) % 0.44/0.67 (step @p359 :rule cong :premises (@p358 @p338) :args (@t441)) % 0.44/0.67 (step @p360 :rule eq-symm :args (@t234 @t19)) % 0.44/0.67 (step @p361 :rule refl :args (@t214)) % 0.44/0.67 (step @p362 :rule nary_cong :premises (@p361 @p360) :args (@t442)) % 0.44/0.67 (step @p363 :rule cong :premises (@p362) :args (@t443)) % 0.44/0.67 (step @p364 :rule cong :premises (@p363) :args (@t444)) % 0.44/0.67 (step @p365 :rule refl :args (@t235)) % 0.44/0.67 (step @p366 :rule refl :args (@t236)) % 0.44/0.67 (step @p367 :rule nary_cong :premises (@p366 @p365 @p364) :args (@t445)) % 0.44/0.67 (step @p368 :rule aci_norm :args ((= @t447 @t445))) % 0.44/0.67 (step @p369 :rule trans :premises (@p368 @p367)) % 0.44/0.67 (step @p370 :rule cong :premises (@p369) :args (@t448)) % 0.44/0.67 (step @p371 :rule quant-merge-prenex :args ((= (forall @t148 @t450) @t448))) % 0.44/0.67 (step @p372 :rule refl :args (@t236)) % 0.44/0.67 (step @p373 :rule alpha_equiv :args (@t451 (@list @t234) @t394)) % 0.44/0.67 (step @p374 :rule nary_cong :premises (@p373 @p372) :args (@t452)) % 0.44/0.67 (step @p375 :rule quant-miniscope-or :args ((= @t450 @t452))) % 0.44/0.67 (step @p376 :rule trans :premises (@p375 @p374)) % 0.44/0.67 (step @p377 :rule symm :premises (@p376)) % 0.44/0.67 (step @p378 :rule cong :premises (@p377) :args ((forall @t148 (or @t402 @t236)))) % 0.44/0.67 (step @p379 :rule trans :premises (@p378 @p371)) % 0.44/0.67 (step @p380 :rule trans :premises (@p379 @p370)) % 0.44/0.67 (step @p381 :rule lambda-elim :args ((= @t453 @t141))) % 0.44/0.67 (step @p382 :rule cong :premises (@p381) :args (@t454)) % 0.44/0.67 (step @p383 :rule cong :premises (@p382) :args (@t455)) % 0.44/0.67 (step @p384 :rule refl :args (@t402)) % 0.44/0.67 (step @p385 :rule nary_cong :premises (@p384 @p383) :args (@t456)) % 0.44/0.67 (step @p386 :rule cong :premises (@p385) :args ((forall @t148 @t456))) % 0.44/0.67 (step @p387 :rule trans :premises (@p386 @p380)) % 0.44/0.67 (step @p388 :rule refl :args ((_ @t141 @t144))) % 0.44/0.67 (step @p389 :rule refl :args ((tptp.descr @t143))) % 0.44/0.67 (step @p390 :rule cong :premises (@p215) :args (@t453)) % 0.44/0.67 (step @p391 :rule cong :premises (@p390) :args (@t454)) % 0.44/0.67 (step @p392 :rule trans :premises (@p391 @p389)) % 0.44/0.67 (step @p393 :rule cong :premises (@p392) :args (@t455)) % 0.44/0.67 (step @p394 :rule trans :premises (@p393 @p388)) % 0.44/0.67 (step @p395 :rule refl :args (@t141)) % 0.44/0.67 (step @p396 :rule ho_cong :premises (@p395 @p392)) % 0.44/0.67 (step @p397 :rule cong :premises (@p396 @p394) :args ((= (_ @t141 @t454) @t455))) % 0.44/0.67 (step @p398 :rule symm :premises (@p397)) % 0.44/0.67 (step @p399 :rule refl :args (@t145)) % 0.44/0.67 (step @p400 :rule eq_resolve :premises (@p399 @p398)) % 0.44/0.67 (step @p401 :rule refl :args (tptp.descr)) % 0.44/0.67 (step @p402 :rule ho_cong :premises (@p401 @p390)) % 0.44/0.67 (step @p403 :rule cong :premises (@p402 @p392) :args ((= (_ tptp.descr @t453) @t454))) % 0.44/0.67 (step @p404 :rule symm :premises (@p403)) % 0.44/0.67 (step @p405 :rule refl :args (@t144)) % 0.44/0.67 (step @p406 :rule eq_resolve :premises (@p405 @p404)) % 0.44/0.67 (step @p407 :rule cong :premises (@p219) :args (@t143)) % 0.44/0.67 (step @p408 :rule ho_cong :premises (@p401 @p407)) % 0.44/0.67 (step @p409 :rule trans :premises (@p408 @p406)) % 0.44/0.67 (step @p410 :rule ho_cong :premises (@p395 @p409)) % 0.44/0.67 (step @p411 :rule trans :premises (@p410 @p400)) % 0.44/0.67 (step @p412 :rule refl :args (@t402)) % 0.44/0.67 (step @p413 :rule nary_cong :premises (@p412 @p411) :args (@t457)) % 0.44/0.67 (step @p414 :rule cong :premises (@p413) :args ((forall @t148 @t457))) % 0.44/0.67 (step @p415 :rule trans :premises (@p414 @p387)) % 0.44/0.67 (step @p416 :rule nary_cong :premises (@p207 @p399) :args ((or @t404 @t145))) % 0.44/0.67 (step @p417 :rule bool-impl-elim :args (@t403 @t145)) % 0.44/0.67 (step @p418 :rule trans :premises (@p417 @p416)) % 0.44/0.67 (step @p419 :rule cong :premises (@p418) :args ((forall @t148 (=> @t403 @t145)))) % 0.44/0.67 (step @p420 :rule trans :premises (@p419 @p415)) % 0.44/0.67 (step @p421 :rule refl :args (@t145)) % 0.44/0.67 (step @p422 :rule cong :premises (@p259 @p421) :args (@t458)) % 0.44/0.67 (step @p423 :rule cong :premises (@p422) :args (@t459)) % 0.44/0.67 (step @p424 :rule trans :premises (@p423 @p420)) % 0.44/0.67 (step @p425 :rule refl :args (tptp.descrp)) % 0.44/0.67 (step @p426 :rule cong :premises (@p425 @p424) :args ((= tptp.descrp @t459))) % 0.44/0.67 (step @p427 :rule cong :premises (@p270 @p421) :args (@t147)) % 0.44/0.67 (step @p428 :rule cong :premises (@p427) :args (@t149)) % 0.44/0.67 (step @p429 :rule cong :premises (@p425 @p428) :args (@t150)) % 0.44/0.67 (step @p430 :rule trans :premises (@p429 @p426)) % 0.44/0.67 (step @p431 :rule eq_resolve :premises (@p12 @p430)) % 0.44/0.67 (step @p432 :rule cong :premises (@p431 @p359) :args (@t460)) % 0.44/0.68 (step @p433 :rule aci_norm :args ((= (or @t289 (or @t282 (or @t276 @t264))) @t290))) % 0.44/0.68 (step @p434 :rule bool-and-de-morgan :args (@t275 @t263 true)) % 0.44/0.68 (step @p435 :rule refl :args (@t282)) % 0.44/0.68 (step @p436 :rule nary_cong :premises (@p435 @p434) :args ((or @t282 (not (and @t275 @t263))))) % 0.44/0.68 (step @p437 :rule bool-and-de-morgan :args (@t281 @t275 (and @t263))) % 0.44/0.68 (step @p438 :rule trans :premises (@p437 @p436)) % 0.44/0.68 (step @p439 :rule refl :args (@t289)) % 0.44/0.68 (step @p440 :rule nary_cong :premises (@p439 @p438) :args ((or @t289 (not (and @t281 @t275 @t263))))) % 0.44/0.68 (step @p441 :rule bool-and-de-morgan :args (@t288 @t281 (and @t275 @t263))) % 0.44/0.68 (step @p442 :rule trans :premises (@p441 @p440)) % 0.44/0.68 (step @p443 :rule trans :premises (@p442 @p433)) % 0.44/0.68 (step @p444 :rule cong :premises (@p443) :args (@t462)) % 0.44/0.68 (step @p445 :rule cong :premises (@p444) :args (@t463)) % 0.44/0.68 (step @p446 :rule exists-elim :args ((= (exists @t39 @t461) @t463))) % 0.44/0.68 (step @p447 :rule trans :premises (@p446 @p445)) % 0.44/0.68 (step @p448 :rule quant-merge-prenex :args ((= (forall @t116 @t465) @t263))) % 0.44/0.68 (step @p449 :rule refl :args (@t257)) % 0.44/0.68 (step @p450 :rule alpha_equiv :args (@t466 (@list @t258) @t394)) % 0.44/0.68 (step @p451 :rule refl :args (@t261)) % 0.44/0.68 (step @p452 :rule nary_cong :premises (@p451 @p450 @p449) :args (@t467)) % 0.44/0.68 (step @p453 :rule quant-miniscope-or :args ((= @t465 @t467))) % 0.44/0.68 (step @p454 :rule trans :premises (@p453 @p452)) % 0.44/0.68 (step @p455 :rule symm :premises (@p454)) % 0.44/0.68 (step @p456 :rule cong :premises (@p455) :args ((forall @t116 @t469))) % 0.44/0.68 (step @p457 :rule trans :premises (@p456 @p448)) % 0.44/0.68 (step @p458 :rule aci_norm :args ((= (or (or @t261 @t468) @t257) @t469))) % 0.44/0.68 (step @p459 :rule bool-double-not-elim :args (@t468)) % 0.44/0.68 (step @p460 :rule nary_cong :premises (@p451 @p459) :args ((or @t261 (not @t470)))) % 0.44/0.68 (step @p461 :rule bool-and-de-morgan :args (@t260 @t470 true)) % 0.44/0.68 (step @p462 :rule trans :premises (@p461 @p460)) % 0.44/0.68 (step @p463 :rule nary_cong :premises (@p462 @p449) :args ((or (not @t471) @t257))) % 0.44/0.68 (step @p464 :rule trans :premises (@p463 @p458)) % 0.44/0.68 (step @p465 :rule bool-impl-elim :args (@t471 @t257)) % 0.44/0.68 (step @p466 :rule trans :premises (@p465 @p464)) % 0.44/0.68 (step @p467 :rule cong :premises (@p466) :args ((forall @t116 (=> @t471 @t257)))) % 0.44/0.68 (step @p468 :rule trans :premises (@p467 @p457)) % 0.44/0.68 (step @p469 :rule refl :args (@t248)) % 0.44/0.68 (step @p470 :rule refl :args (@t252)) % 0.44/0.68 (step @p471 :rule refl :args (@t253)) % 0.44/0.68 (step @p472 :rule refl :args (@t107)) % 0.44/0.68 (step @p473 :rule cong :premises (@p472 @p471) :args ((= @t107 @t253))) % 0.44/0.68 (step @p474 :rule symm :premises (@p473)) % 0.44/0.68 (step @p475 :rule eq_resolve :premises (@p472 @p474)) % 0.44/0.68 (step @p476 :rule cong :premises (@p475) :args (@t472)) % 0.44/0.68 (step @p477 :rule refl :args (@t255)) % 0.44/0.68 (step @p478 :rule refl :args (@t108)) % 0.44/0.68 (step @p479 :rule cong :premises (@p478 @p477) :args ((= @t108 @t255))) % 0.44/0.68 (step @p480 :rule symm :premises (@p479)) % 0.44/0.68 (step @p481 :rule eq_resolve :premises (@p478 @p480)) % 0.44/0.68 (step @p482 :rule cong :premises (@p481) :args (@t473)) % 0.44/0.68 (step @p483 :rule nary_cong :premises (@p482 @p476 @p470 @p469) :args (@t474)) % 0.44/0.68 (step @p484 :rule cong :premises (@p483) :args ((forall @t110 @t474))) % 0.44/0.68 (step @p485 :rule aci_norm :args ((= (or @t473 (or @t472 (or @t252 @t248))) @t474))) % 0.44/0.68 (step @p486 :rule bool-and-de-morgan :args (@t251 @t247 true)) % 0.44/0.68 (step @p487 :rule refl :args (@t472)) % 0.44/0.68 (step @p488 :rule nary_cong :premises (@p487 @p486) :args ((or @t472 (not (and @t251 @t247))))) % 0.44/0.68 (step @p489 :rule bool-and-de-morgan :args (@t107 @t251 (and @t247))) % 0.44/0.68 (step @p490 :rule trans :premises (@p489 @p488)) % 0.44/0.68 (step @p491 :rule refl :args (@t473)) % 0.44/0.68 (step @p492 :rule nary_cong :premises (@p491 @p490) :args ((or @t473 (not (and @t107 @t251 @t247))))) % 0.44/0.68 (step @p493 :rule bool-and-de-morgan :args (@t108 @t107 (and @t251 @t247))) % 0.44/0.68 (step @p494 :rule trans :premises (@p493 @p492)) % 0.44/0.68 (step @p495 :rule trans :premises (@p494 @p485)) % 0.44/0.68 (step @p496 :rule cong :premises (@p495) :args (@t476)) % 0.44/0.68 (step @p497 :rule trans :premises (@p496 @p484)) % 0.44/0.68 (step @p498 :rule cong :premises (@p497) :args (@t477)) % 0.44/0.68 (step @p499 :rule exists-elim :args ((= (exists @t110 @t475) @t477))) % 0.44/0.68 (step @p500 :rule trans :premises (@p499 @p498)) % 0.44/0.68 (step @p501 :rule aci_norm :args ((= @t479 @t245))) % 0.44/0.68 (step @p502 :rule cong :premises (@p501) :args (@t480)) % 0.44/0.68 (step @p503 :rule quant-merge-prenex :args ((= (forall @t100 @t482) @t480))) % 0.44/0.68 (step @p504 :rule refl :args (@t242)) % 0.44/0.68 (step @p505 :rule alpha_equiv :args (@t483 (@list @t239) (@list @t19))) % 0.44/0.68 (step @p506 :rule refl :args (@t244)) % 0.44/0.68 (step @p507 :rule nary_cong :premises (@p506 @p505 @p504) :args (@t484)) % 0.44/0.68 (step @p508 :rule quant-miniscope-or :args ((= @t482 @t484))) % 0.44/0.68 (step @p509 :rule trans :premises (@p508 @p507)) % 0.44/0.68 (step @p510 :rule symm :premises (@p509)) % 0.44/0.68 (step @p511 :rule cong :premises (@p510) :args ((forall @t100 (or @t244 @t486 @t242)))) % 0.44/0.68 (step @p512 :rule trans :premises (@p511 @p503)) % 0.44/0.68 (step @p513 :rule trans :premises (@p512 @p502)) % 0.44/0.68 (step @p514 :rule refl :args (@t242)) % 0.44/0.68 (step @p515 :rule refl :args (@t92)) % 0.44/0.68 (step @p516 :rule cong :premises (@p515 @p514) :args ((= @t92 @t242))) % 0.44/0.68 (step @p517 :rule symm :premises (@p516)) % 0.44/0.68 (step @p518 :rule eq_resolve :premises (@p515 @p517)) % 0.44/0.68 (step @p519 :rule refl :args (@t486)) % 0.44/0.68 (step @p520 :rule refl :args (@t243)) % 0.44/0.68 (step @p521 :rule refl :args (@t98)) % 0.44/0.68 (step @p522 :rule cong :premises (@p521 @p520) :args ((= @t98 @t243))) % 0.44/0.68 (step @p523 :rule symm :premises (@p522)) % 0.44/0.68 (step @p524 :rule eq_resolve :premises (@p521 @p523)) % 0.44/0.68 (step @p525 :rule cong :premises (@p524) :args (@t487)) % 0.44/0.68 (step @p526 :rule nary_cong :premises (@p525 @p519 @p518) :args (@t488)) % 0.44/0.68 (step @p527 :rule cong :premises (@p526) :args ((forall @t100 @t488))) % 0.44/0.68 (step @p528 :rule trans :premises (@p527 @p513)) % 0.44/0.68 (step @p529 :rule aci_norm :args ((= (or @t487 @t489) @t488))) % 0.44/0.68 (step @p530 :rule bool-impl-elim :args (@t98 @t489)) % 0.44/0.68 (step @p531 :rule trans :premises (@p530 @p529)) % 0.44/0.68 (step @p532 :rule cong :premises (@p531) :args ((forall @t100 (=> @t98 @t489)))) % 0.44/0.68 (step @p533 :rule trans :premises (@p532 @p528)) % 0.44/0.68 (step @p534 :rule refl :args (@t92)) % 0.44/0.68 (step @p535 :rule refl :args (@t250)) % 0.44/0.68 (step @p536 :rule refl :args (@t94)) % 0.44/0.68 (step @p537 :rule cong :premises (@p536 @p535) :args ((= @t94 @t250))) % 0.44/0.68 (step @p538 :rule symm :premises (@p537)) % 0.44/0.68 (step @p539 :rule eq_resolve :premises (@p536 @p538)) % 0.44/0.68 (step @p540 :rule refl :args (@t485)) % 0.44/0.68 (step @p541 :rule refl :args (@t95)) % 0.44/0.68 (step @p542 :rule cong :premises (@p541 @p540) :args ((= @t95 @t485))) % 0.44/0.68 (step @p543 :rule symm :premises (@p542)) % 0.44/0.68 (step @p544 :rule eq_resolve :premises (@p541 @p543)) % 0.44/0.68 (step @p545 :rule cong :premises (@p544) :args (@t490)) % 0.44/0.68 (step @p546 :rule nary_cong :premises (@p545 @p539) :args (@t491)) % 0.44/0.68 (step @p547 :rule cong :premises (@p546) :args ((forall @t68 @t491))) % 0.44/0.68 (step @p548 :rule bool-impl-elim :args (@t95 @t94)) % 0.44/0.68 (step @p549 :rule cong :premises (@p548) :args (@t96)) % 0.44/0.68 (step @p550 :rule trans :premises (@p549 @p547)) % 0.44/0.68 (step @p551 :rule nary_cong :premises (@p550 @p534) :args (@t97)) % 0.44/0.68 (step @p552 :rule refl :args (@t98)) % 0.44/0.68 (step @p553 :rule cong :premises (@p552 @p551) :args (@t99)) % 0.44/0.68 (step @p554 :rule cong :premises (@p553) :args (@t101)) % 0.44/0.68 (step @p555 :rule trans :premises (@p554 @p533)) % 0.44/0.68 (step @p556 :rule bool-double-not-elim :args (@t251)) % 0.44/0.68 (step @p557 :rule refl :args (@t249)) % 0.44/0.68 (step @p558 :rule refl :args (@t103)) % 0.44/0.68 (step @p559 :rule cong :premises (@p558 @p557) :args ((= @t103 @t249))) % 0.44/0.68 (step @p560 :rule symm :premises (@p559)) % 0.44/0.68 (step @p561 :rule eq_resolve :premises (@p558 @p560)) % 0.44/0.68 (step @p562 :rule cong :premises (@p561) :args (@t492)) % 0.44/0.68 (step @p563 :rule cong :premises (@p539) :args (@t493)) % 0.44/0.68 (step @p564 :rule nary_cong :premises (@p563 @p562) :args (@t494)) % 0.44/0.68 (step @p565 :rule cong :premises (@p564) :args ((forall @t68 @t494))) % 0.44/0.68 (step @p566 :rule bool-and-de-morgan :args (@t94 @t103 true)) % 0.44/0.68 (step @p567 :rule cong :premises (@p566) :args (@t495)) % 0.44/0.68 (step @p568 :rule trans :premises (@p567 @p565)) % 0.44/0.68 (step @p569 :rule cong :premises (@p568) :args (@t496)) % 0.44/0.68 (step @p570 :rule exists-elim :args ((= @t105 @t496))) % 0.44/0.68 (step @p571 :rule trans :premises (@p570 @p569)) % 0.44/0.68 (step @p572 :rule cong :premises (@p571) :args (@t106)) % 0.44/0.68 (step @p573 :rule trans :premises (@p572 @p556)) % 0.44/0.68 (step @p574 :rule refl :args (@t107)) % 0.44/0.68 (step @p575 :rule refl :args (@t108)) % 0.44/0.68 (step @p576 :rule nary_cong :premises (@p575 @p574 @p573 @p555) :args (@t109)) % 0.44/0.68 (step @p577 :rule cong :premises (@p576) :args (@t111)) % 0.44/0.68 (step @p578 :rule trans :premises (@p577 @p500)) % 0.44/0.68 (step @p579 :rule cong :premises (@p476) :args (@t497)) % 0.44/0.68 (step @p580 :rule cong :premises (@p579) :args (@t498)) % 0.44/0.68 (step @p581 :rule exists-elim :args ((= @t112 @t498))) % 0.44/0.68 (step @p582 :rule trans :premises (@p581 @p580)) % 0.44/0.68 (step @p583 :rule nary_cong :premises (@p476 @p328) :args (@t499)) % 0.44/0.68 (step @p584 :rule cong :premises (@p583) :args ((forall @t9 @t499))) % 0.44/0.68 (step @p585 :rule bool-impl-elim :args (@t107 @t7)) % 0.44/0.68 (step @p586 :rule cong :premises (@p585) :args (@t113)) % 0.44/0.68 (step @p587 :rule trans :premises (@p586 @p584)) % 0.44/0.68 (step @p588 :rule nary_cong :premises (@p587 @p582) :args (@t114)) % 0.44/0.68 (step @p589 :rule cong :premises (@p588 @p578) :args (@t115)) % 0.44/0.68 (step @p590 :rule cong :premises (@p589) :args (@t117)) % 0.44/0.68 (step @p591 :rule trans :premises (@p590 @p468)) % 0.44/0.68 (step @p592 :rule aci_norm :args ((= @t502 @t273))) % 0.44/0.68 (step @p593 :rule cong :premises (@p592) :args (@t503)) % 0.44/0.68 (step @p594 :rule quant-merge-prenex :args ((= (forall @t125 @t504) @t503))) % 0.44/0.68 (step @p595 :rule alpha_equiv :args (@t505 (@list @t265) @t394)) % 0.44/0.68 (step @p596 :rule alpha_equiv :args (@t506 (@list @t268) @t394)) % 0.44/0.68 (step @p597 :rule refl :args (@t256)) % 0.44/0.68 (step @p598 :rule refl :args (@t272)) % 0.44/0.68 (step @p599 :rule nary_cong :premises (@p598 @p597 @p596 @p595) :args (@t507)) % 0.44/0.68 (step @p600 :rule quant-miniscope-or :args ((= @t504 @t507))) % 0.44/0.68 (step @p601 :rule trans :premises (@p600 @p599)) % 0.44/0.68 (step @p602 :rule symm :premises (@p601)) % 0.44/0.68 (step @p603 :rule cong :premises (@p602) :args ((forall @t125 (or @t272 @t256 @t510 @t509)))) % 0.44/0.68 (step @p604 :rule trans :premises (@p603 @p594)) % 0.44/0.68 (step @p605 :rule trans :premises (@p604 @p593)) % 0.44/0.68 (step @p606 :rule refl :args (@t509)) % 0.44/0.68 (step @p607 :rule refl :args (@t510)) % 0.44/0.68 (step @p608 :rule refl :args (@t271)) % 0.44/0.68 (step @p609 :rule refl :args (@t122)) % 0.44/0.68 (step @p610 :rule cong :premises (@p609 @p608) :args ((= @t122 @t271))) % 0.44/0.68 (step @p611 :rule symm :premises (@p610)) % 0.44/0.68 (step @p612 :rule eq_resolve :premises (@p609 @p611)) % 0.44/0.68 (step @p613 :rule cong :premises (@p612) :args (@t511)) % 0.44/0.68 (step @p614 :rule nary_cong :premises (@p613 @p482 @p607 @p606) :args (@t512)) % 0.44/0.68 (step @p615 :rule cong :premises (@p614) :args ((forall @t125 @t512))) % 0.44/0.68 (step @p616 :rule trans :premises (@p615 @p605)) % 0.44/0.68 (step @p617 :rule aci_norm :args ((= (or (or @t511 @t473) @t513) @t512))) % 0.44/0.68 (step @p618 :rule refl :args (@t513)) % 0.44/0.68 (step @p619 :rule bool-and-de-morgan :args (@t122 @t108 true)) % 0.44/0.68 (step @p620 :rule nary_cong :premises (@p619 @p618) :args ((or (not @t123) @t513))) % 0.44/0.68 (step @p621 :rule trans :premises (@p620 @p617)) % 0.44/0.68 (step @p622 :rule bool-impl-elim :args (@t123 @t513)) % 0.44/0.68 (step @p623 :rule trans :premises (@p622 @p621)) % 0.44/0.68 (step @p624 :rule cong :premises (@p623) :args ((forall @t125 (=> @t123 @t513)))) % 0.44/0.68 (step @p625 :rule trans :premises (@p624 @p616)) % 0.44/0.68 (step @p626 :rule refl :args (@t508)) % 0.44/0.68 (step @p627 :rule refl :args (@t118)) % 0.44/0.68 (step @p628 :rule cong :premises (@p627 @p626) :args ((= @t118 @t508))) % 0.44/0.68 (step @p629 :rule symm :premises (@p628)) % 0.44/0.68 (step @p630 :rule eq_resolve :premises (@p627 @p629)) % 0.44/0.68 (step @p631 :rule cong :premises (@p630) :args (@t514)) % 0.44/0.68 (step @p632 :rule nary_cong :premises (@p631 @p475) :args (@t515)) % 0.44/0.68 (step @p633 :rule cong :premises (@p632) :args ((forall @t9 @t515))) % 0.44/0.68 (step @p634 :rule bool-impl-elim :args (@t118 @t107)) % 0.44/0.68 (step @p635 :rule cong :premises (@p634) :args (@t119)) % 0.44/0.68 (step @p636 :rule trans :premises (@p635 @p633)) % 0.44/0.68 (step @p637 :rule nary_cong :premises (@p476 @p630) :args (@t516)) % 0.44/0.68 (step @p638 :rule cong :premises (@p637) :args ((forall @t9 @t516))) % 0.44/0.68 (step @p639 :rule bool-impl-elim :args (@t107 @t118)) % 0.44/0.68 (step @p640 :rule cong :premises (@p639) :args (@t120)) % 0.44/0.68 (step @p641 :rule trans :premises (@p640 @p638)) % 0.44/0.68 (step @p642 :rule nary_cong :premises (@p641 @p636) :args (@t121)) % 0.44/0.68 (step @p643 :rule refl :args (@t123)) % 0.44/0.68 (step @p644 :rule cong :premises (@p643 @p642) :args (@t124)) % 0.44/0.68 (step @p645 :rule cong :premises (@p644) :args (@t126)) % 0.44/0.68 (step @p646 :rule trans :premises (@p645 @p625)) % 0.44/0.68 (step @p647 :rule refl :args (@t278)) % 0.44/0.68 (step @p648 :rule refl :args (@t279)) % 0.44/0.68 (step @p649 :rule refl :args (@t21)) % 0.44/0.68 (step @p650 :rule cong :premises (@p649 @p648) :args ((= @t21 @t279))) % 0.44/0.68 (step @p651 :rule symm :premises (@p650)) % 0.44/0.68 (step @p652 :rule eq_resolve :premises (@p649 @p651)) % 0.44/0.68 (step @p653 :rule cong :premises (@p652) :args (@t517)) % 0.44/0.68 (step @p654 :rule nary_cong :premises (@p343 @p653 @p647 @p229) :args (@t518)) % 0.44/0.68 (step @p655 :rule cong :premises (@p654) :args ((forall @t133 @t518))) % 0.44/0.68 (step @p656 :rule aci_norm :args ((= (or (or @t439 @t517) (or @t278 @t127)) @t518))) % 0.44/0.68 (step @p657 :rule bool-impl-elim :args (@t277 @t127)) % 0.44/0.68 (step @p658 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 0.44/0.68 (step @p659 :rule nary_cong :premises (@p658 @p657) :args ((or (not @t131) @t519))) % 0.44/0.68 (step @p660 :rule trans :premises (@p659 @p656)) % 0.44/0.68 (step @p661 :rule bool-impl-elim :args (@t131 @t519)) % 0.44/0.68 (step @p662 :rule trans :premises (@p661 @p660)) % 0.44/0.68 (step @p663 :rule cong :premises (@p662) :args ((forall @t133 (=> @t131 @t519)))) % 0.44/0.68 (step @p664 :rule trans :premises (@p663 @p655)) % 0.44/0.68 (step @p665 :rule cong :premises (@p475 @p561) :args (@t128)) % 0.44/0.68 (step @p666 :rule nary_cong :premises (@p613 @p665) :args (@t520)) % 0.44/0.68 (step @p667 :rule cong :premises (@p666) :args ((forall @t116 @t520))) % 0.44/0.68 (step @p668 :rule bool-impl-elim :args (@t122 @t128)) % 0.44/0.68 (step @p669 :rule cong :premises (@p668) :args (@t129)) % 0.44/0.68 (step @p670 :rule trans :premises (@p669 @p667)) % 0.44/0.68 (step @p671 :rule cong :premises (@p670 @p245) :args (@t130)) % 0.44/0.68 (step @p672 :rule refl :args (@t131)) % 0.44/0.68 (step @p673 :rule cong :premises (@p672 @p671) :args (@t132)) % 0.44/0.68 (step @p674 :rule cong :premises (@p673) :args (@t134)) % 0.44/0.68 (step @p675 :rule trans :premises (@p674 @p664)) % 0.44/0.68 (step @p676 :rule aci_norm :args ((= @t522 @t286))) % 0.44/0.68 (step @p677 :rule cong :premises (@p676) :args (@t523)) % 0.44/0.68 (step @p678 :rule quant-merge-prenex :args ((= (forall @t116 @t525) @t523))) % 0.44/0.68 (step @p679 :rule alpha_equiv :args (@t526 (@list @t283) @t394)) % 0.44/0.68 (step @p680 :rule nary_cong :premises (@p598 @p679) :args (@t527)) % 0.44/0.68 (step @p681 :rule quant-miniscope-or :args ((= @t525 @t527))) % 0.44/0.68 (step @p682 :rule trans :premises (@p681 @p680)) % 0.44/0.68 (step @p683 :rule symm :premises (@p682)) % 0.44/0.68 (step @p684 :rule cong :premises (@p683) :args ((forall @t116 (or @t272 @t260)))) % 0.44/0.68 (step @p685 :rule trans :premises (@p684 @p678)) % 0.44/0.68 (step @p686 :rule trans :premises (@p685 @p677)) % 0.44/0.68 (step @p687 :rule refl :args (@t260)) % 0.44/0.68 (step @p688 :rule nary_cong :premises (@p613 @p687) :args (@t528)) % 0.44/0.68 (step @p689 :rule cong :premises (@p688) :args ((forall @t116 @t528))) % 0.44/0.68 (step @p690 :rule trans :premises (@p689 @p686)) % 0.44/0.68 (step @p691 :rule bool-impl-elim :args (@t122 @t260)) % 0.44/0.68 (step @p692 :rule cong :premises (@p691) :args ((forall @t116 (=> @t122 @t260)))) % 0.44/0.68 (step @p693 :rule trans :premises (@p692 @p690)) % 0.44/0.68 (step @p694 :rule refl :args (@t122)) % 0.44/0.68 (step @p695 :rule cong :premises (@p694 @p587) :args (@t135)) % 0.44/0.68 (step @p696 :rule cong :premises (@p695) :args (@t136)) % 0.44/0.68 (step @p697 :rule trans :premises (@p696 @p693)) % 0.44/0.68 (step @p698 :rule nary_cong :premises (@p697 @p675 @p646 @p591) :args (@t137)) % 0.44/0.68 (step @p699 :rule cong :premises (@p698) :args (@t138)) % 0.44/0.68 (step @p700 :rule trans :premises (@p699 @p447)) % 0.44/0.68 (step @p701 :rule cong :premises (@p700) :args (@t139)) % 0.44/0.68 (step @p702 :rule refl :args (tptp.wellorderingAx)) % 0.44/0.68 (step @p703 :rule cong :premises (@p702 @p701) :args (@t140)) % 0.44/0.68 (step @p704 :rule eq_resolve :premises (@p11 @p703)) % 0.44/0.68 (step @p705 :rule cong :premises (@p704 @p432) :args (@t529)) % 0.44/0.68 (step @p706 :rule quant-merge-prenex :args ((= (forall @t62 @t531) @t302))) % 0.44/0.68 (step @p707 :rule refl :args (@t298)) % 0.44/0.68 (step @p708 :rule alpha_equiv :args (@t532 (@list @t299) @t394)) % 0.44/0.68 (step @p709 :rule nary_cong :premises (@p708 @p707) :args (@t533)) % 0.44/0.68 (step @p710 :rule quant-miniscope-or :args ((= @t531 @t533))) % 0.44/0.68 (step @p711 :rule trans :premises (@p710 @p709)) % 0.44/0.68 (step @p712 :rule symm :premises (@p711)) % 0.44/0.68 (step @p713 :rule cong :premises (@p712) :args ((forall @t62 (or @t534 @t298)))) % 0.44/0.68 (step @p714 :rule trans :premises (@p713 @p706)) % 0.44/0.68 (step @p715 :rule bool-double-not-elim :args (@t534)) % 0.44/0.68 (step @p716 :rule nary_cong :premises (@p715 @p707) :args ((or (not @t535) @t298))) % 0.44/0.68 (step @p717 :rule bool-impl-elim :args (@t535 @t298)) % 0.44/0.68 (step @p718 :rule trans :premises (@p717 @p716)) % 0.44/0.68 (step @p719 :rule cong :premises (@p718) :args ((forall @t62 (=> @t535 @t298)))) % 0.44/0.68 (step @p720 :rule trans :premises (@p719 @p714)) % 0.44/0.68 (step @p721 :rule refl :args (@t295)) % 0.44/0.68 (step @p722 :rule refl :args (@t296)) % 0.44/0.68 (step @p723 :rule refl :args (@t37)) % 0.44/0.68 (step @p724 :rule cong :premises (@p723 @p722) :args ((= @t37 @t296))) % 0.44/0.68 (step @p725 :rule symm :premises (@p724)) % 0.44/0.68 (step @p726 :rule eq_resolve :premises (@p723 @p725)) % 0.44/0.68 (step @p727 :rule cong :premises (@p726) :args (@t536)) % 0.44/0.68 (step @p728 :rule nary_cong :premises (@p727 @p721) :args (@t537)) % 0.44/0.68 (step @p729 :rule cong :premises (@p728) :args ((forall @t39 @t537))) % 0.44/0.68 (step @p730 :rule bool-and-de-morgan :args (@t37 @t294 true)) % 0.44/0.68 (step @p731 :rule cong :premises (@p730) :args (@t539)) % 0.44/0.68 (step @p732 :rule trans :premises (@p731 @p729)) % 0.44/0.68 (step @p733 :rule cong :premises (@p732) :args (@t540)) % 0.44/0.68 (step @p734 :rule exists-elim :args ((= (exists @t39 @t538) @t540))) % 0.44/0.68 (step @p735 :rule trans :premises (@p734 @p733)) % 0.44/0.68 (step @p736 :rule bool-double-not-elim :args (@t294)) % 0.44/0.68 (step @p737 :rule refl :args (@t292)) % 0.44/0.68 (step @p738 :rule refl :args (@t6)) % 0.44/0.68 (step @p739 :rule cong :premises (@p738 @p737) :args ((= @t6 @t292))) % 0.44/0.68 (step @p740 :rule symm :premises (@p739)) % 0.44/0.68 (step @p741 :rule eq_resolve :premises (@p738 @p740)) % 0.44/0.68 (step @p742 :rule cong :premises (@p741) :args (@t541)) % 0.44/0.68 (step @p743 :rule nary_cong :premises (@p742 @p343) :args (@t542)) % 0.44/0.68 (step @p744 :rule cong :premises (@p743) :args ((forall @t9 @t542))) % 0.44/0.68 (step @p745 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 0.44/0.68 (step @p746 :rule cong :premises (@p745) :args (@t543)) % 0.44/0.68 (step @p747 :rule trans :premises (@p746 @p744)) % 0.44/0.68 (step @p748 :rule cong :premises (@p747) :args (@t544)) % 0.44/0.68 (step @p749 :rule exists-elim :args ((= @t83 @t544))) % 0.44/0.68 (step @p750 :rule trans :premises (@p749 @p748)) % 0.44/0.68 (step @p751 :rule cong :premises (@p750) :args (@t84)) % 0.44/0.68 (step @p752 :rule trans :premises (@p751 @p736)) % 0.44/0.68 (step @p753 :rule refl :args (@t37)) % 0.44/0.68 (step @p754 :rule nary_cong :premises (@p753 @p752) :args (@t85)) % 0.44/0.68 (step @p755 :rule cong :premises (@p754) :args (@t86)) % 0.44/0.68 (step @p756 :rule trans :premises (@p755 @p735)) % 0.44/0.68 (step @p757 :rule cong :premises (@p343) :args (@t545)) % 0.44/0.68 (step @p758 :rule cong :premises (@p757) :args (@t546)) % 0.44/0.68 (step @p759 :rule exists-elim :args ((= @t87 @t546))) % 0.44/0.68 (step @p760 :rule trans :premises (@p759 @p758)) % 0.44/0.68 (step @p761 :rule cong :premises (@p760 @p756) :args (@t88)) % 0.44/0.68 (step @p762 :rule cong :premises (@p761) :args (@t89)) % 0.44/0.68 (step @p763 :rule trans :premises (@p762 @p720)) % 0.44/0.68 (step @p764 :rule refl :args (tptp.foundationAx)) % 0.44/0.68 (step @p765 :rule cong :premises (@p764 @p763) :args (@t90)) % 0.44/0.68 (step @p766 :rule eq_resolve :premises (@p10 @p765)) % 0.44/0.68 (step @p767 :rule cong :premises (@p766 @p705) :args (@t547)) % 0.44/0.68 (step @p768 :rule bool-impl-elim :args (@t314 @t306)) % 0.44/0.68 (step @p769 :rule cong :premises (@p768) :args ((forall @t79 (=> @t314 @t306)))) % 0.44/0.68 (step @p770 :rule exists-elim :args ((= (exists @t39 @t305) @t306))) % 0.44/0.68 (step @p771 :rule refl :args (@t304)) % 0.44/0.68 (step @p772 :rule cong :premises (@p741 @p771) :args (@t548)) % 0.44/0.68 (step @p773 :rule cong :premises (@p772) :args ((forall @t9 @t548))) % 0.44/0.68 (step @p774 :rule refl :args (@t303)) % 0.44/0.68 (step @p775 :rule refl :args (@t66)) % 0.44/0.68 (step @p776 :rule cong :premises (@p775 @p774) :args ((= @t66 @t303))) % 0.44/0.68 (step @p777 :rule symm :premises (@p776)) % 0.44/0.68 (step @p778 :rule eq_resolve :premises (@p775 @p777)) % 0.44/0.68 (step @p779 :rule cong :premises (@p778) :args (@t549)) % 0.44/0.68 (step @p780 :rule nary_cong :premises (@p653 @p779) :args (@t550)) % 0.44/0.68 (step @p781 :rule cong :premises (@p780) :args ((forall @t68 @t550))) % 0.44/0.68 (step @p782 :rule bool-and-de-morgan :args (@t21 @t66 true)) % 0.44/0.68 (step @p783 :rule cong :premises (@p782) :args (@t551)) % 0.44/0.68 (step @p784 :rule trans :premises (@p783 @p781)) % 0.44/0.68 (step @p785 :rule cong :premises (@p784) :args (@t552)) % 0.44/0.68 (step @p786 :rule exists-elim :args ((= @t69 @t552))) % 0.44/0.68 (step @p787 :rule trans :premises (@p786 @p785)) % 0.44/0.68 (step @p788 :rule refl :args (@t6)) % 0.44/0.68 (step @p789 :rule cong :premises (@p788 @p787) :args (@t70)) % 0.44/0.68 (step @p790 :rule cong :premises (@p789) :args (@t71)) % 0.44/0.68 (step @p791 :rule trans :premises (@p790 @p773)) % 0.44/0.68 (step @p792 :rule cong :premises (@p791) :args (@t72)) % 0.44/0.68 (step @p793 :rule trans :premises (@p792 @p770)) % 0.44/0.68 (step @p794 :rule refl :args (@t313)) % 0.44/0.68 (step @p795 :rule nary_cong :premises (@p343 @p794) :args (@t553)) % 0.44/0.68 (step @p796 :rule cong :premises (@p795) :args ((forall @t9 @t553))) % 0.44/0.68 (step @p797 :rule bool-impl-elim :args (@t7 @t313)) % 0.44/0.68 (step @p798 :rule cong :premises (@p797) :args ((forall @t9 (=> @t7 @t313)))) % 0.44/0.68 (step @p799 :rule trans :premises (@p798 @p796)) % 0.44/0.68 (step @p800 :rule refl :args (@t310)) % 0.44/0.68 (step @p801 :rule refl :args (@t311)) % 0.44/0.68 (step @p802 :rule refl :args (@t554)) % 0.44/0.68 (step @p803 :rule cong :premises (@p802 @p801) :args ((= @t554 @t311))) % 0.44/0.68 (step @p804 :rule symm :premises (@p803)) % 0.44/0.68 (step @p805 :rule eq_resolve :premises (@p802 @p804)) % 0.44/0.68 (step @p806 :rule cong :premises (@p805) :args (@t555)) % 0.44/0.68 (step @p807 :rule nary_cong :premises (@p806 @p800) :args (@t556)) % 0.44/0.68 (step @p808 :rule cong :premises (@p807) :args ((forall @t312 @t556))) % 0.44/0.68 (step @p809 :rule refl :args (@t308)) % 0.44/0.68 (step @p810 :rule refl :args (@t309)) % 0.44/0.68 (step @p811 :rule refl :args (@t74)) % 0.44/0.68 (step @p812 :rule cong :premises (@p811 @p810) :args ((= @t74 @t309))) % 0.44/0.68 (step @p813 :rule symm :premises (@p812)) % 0.44/0.68 (step @p814 :rule eq_resolve :premises (@p811 @p813)) % 0.44/0.68 (step @p815 :rule cong :premises (@p814) :args (@t557)) % 0.44/0.68 (step @p816 :rule nary_cong :premises (@p815 @p809) :args (@t558)) % 0.44/0.68 (step @p817 :rule cong :premises (@p816) :args ((forall @t68 @t558))) % 0.44/0.68 (step @p818 :rule refl :args (@t308)) % 0.44/0.68 (step @p819 :rule beta-reduce :args ((= @t559 @t74))) % 0.44/0.68 (step @p820 :rule cong :premises (@p819) :args (@t560)) % 0.44/0.68 (step @p821 :rule nary_cong :premises (@p820 @p818) :args (@t561)) % 0.44/0.68 (step @p822 :rule cong :premises (@p821) :args (@t562)) % 0.44/0.68 (step @p823 :rule trans :premises (@p822 @p817)) % 0.44/0.68 (step @p824 :rule cong :premises (@p823) :args (@t563)) % 0.44/0.68 (step @p825 :rule beta-reduce :args ((= @t564 @t554))) % 0.44/0.68 (step @p826 :rule cong :premises (@p825) :args (@t565)) % 0.44/0.68 (step @p827 :rule nary_cong :premises (@p826 @p824) :args (@t566)) % 0.44/0.68 (step @p828 :rule cong :premises (@p827) :args (@t567)) % 0.44/0.68 (step @p829 :rule trans :premises (@p828 @p808)) % 0.44/0.68 (step @p830 :rule cong :premises (@p829) :args (@t568)) % 0.44/0.68 (step @p831 :rule beta-reduce :args ((= (_ (lambda @t148 (not (forall @t312 (or @t569 (not (forall @t68 (or @t214 @t308))))))) @t75) @t568))) % 0.44/0.68 (step @p832 :rule trans :premises (@p831 @p830)) % 0.44/0.68 (step @p833 :rule refl :args (@t75)) % 0.44/0.68 (step @p834 :rule eq-symm :args (@t307 @t19)) % 0.44/0.68 (step @p835 :rule nary_cong :premises (@p361 @p834) :args (@t570)) % 0.44/0.68 (step @p836 :rule cong :premises (@p835) :args (@t571)) % 0.44/0.68 (step @p837 :rule cong :premises (@p836) :args (@t572)) % 0.44/0.68 (step @p838 :rule refl :args (@t569)) % 0.44/0.68 (step @p839 :rule nary_cong :premises (@p838 @p837) :args (@t573)) % 0.44/0.68 (step @p840 :rule cong :premises (@p839) :args (@t574)) % 0.44/0.68 (step @p841 :rule cong :premises (@p840) :args (@t575)) % 0.44/0.68 (step @p842 :rule cong :premises (@p841) :args ((lambda @t148 @t575))) % 0.44/0.68 (step @p843 :rule ho_cong :premises (@p842 @p833)) % 0.44/0.68 (step @p844 :rule trans :premises (@p843 @p832)) % 0.44/0.68 (step @p845 :rule refl :args (@t75)) % 0.44/0.68 (step @p846 :rule alpha_equiv :args (@t402 @t394 (@list @t307))) % 0.44/0.68 (step @p847 :rule cong :premises (@p846) :args (@t403)) % 0.44/0.68 (step @p848 :rule cong :premises (@p847) :args (@t422)) % 0.44/0.68 (step @p849 :rule ho_cong :premises (@p848 @p845)) % 0.44/0.68 (step @p850 :rule trans :premises (@p849 @p844)) % 0.44/0.68 (step @p851 :rule refl :args (@t7)) % 0.44/0.68 (step @p852 :rule cong :premises (@p851 @p850) :args (@t576)) % 0.44/0.68 (step @p853 :rule cong :premises (@p852) :args (@t577)) % 0.44/0.68 (step @p854 :rule trans :premises (@p853 @p799)) % 0.44/0.68 (step @p855 :rule cong :premises (@p854 @p793) :args (@t578)) % 0.44/0.68 (step @p856 :rule cong :premises (@p855) :args (@t579)) % 0.44/0.68 (step @p857 :rule trans :premises (@p856 @p769)) % 0.44/0.68 (step @p858 :rule refl :args (tptp.replAx)) % 0.44/0.68 (step @p859 :rule cong :premises (@p858 @p857) :args ((= tptp.replAx @t579))) % 0.44/0.68 (step @p860 :rule refl :args (@t72)) % 0.44/0.68 (step @p861 :rule ho_cong :premises (@p269 @p833)) % 0.44/0.68 (step @p862 :rule cong :premises (@p851 @p861) :args (@t76)) % 0.44/0.68 (step @p863 :rule cong :premises (@p862) :args (@t77)) % 0.44/0.68 (step @p864 :rule cong :premises (@p863 @p860) :args (@t78)) % 0.44/0.68 (step @p865 :rule cong :premises (@p864) :args (@t80)) % 0.44/0.68 (step @p866 :rule cong :premises (@p858 @p865) :args (@t81)) % 0.44/0.68 (step @p867 :rule trans :premises (@p866 @p859)) % 0.44/0.68 (step @p868 :rule eq_resolve :premises (@p9 @p867)) % 0.44/0.68 (step @p869 :rule cong :premises (@p868 @p767) :args (@t580)) % 0.44/0.68 (step @p870 :rule aci_norm :args ((= @t582 @t327))) % 0.44/0.68 (step @p871 :rule cong :premises (@p870) :args (@t583)) % 0.44/0.68 (step @p872 :rule quant-merge-prenex :args ((= (forall @t62 @t585) @t583))) % 0.44/0.68 (step @p873 :rule alpha_equiv :args (@t586 (@list @t316) @t394)) % 0.44/0.68 (step @p874 :rule refl :args (@t324)) % 0.44/0.68 (step @p875 :rule refl :args (@t326)) % 0.44/0.68 (step @p876 :rule nary_cong :premises (@p875 @p874 @p873) :args (@t587)) % 0.44/0.68 (step @p877 :rule quant-miniscope-or :args ((= @t585 @t587))) % 0.44/0.68 (step @p878 :rule trans :premises (@p877 @p876)) % 0.44/0.68 (step @p879 :rule symm :premises (@p878)) % 0.44/0.68 (step @p880 :rule cong :premises (@p879) :args ((forall @t62 (or @t326 @t324 @t588)))) % 0.44/0.68 (step @p881 :rule trans :premises (@p880 @p872)) % 0.44/0.68 (step @p882 :rule trans :premises (@p881 @p871)) % 0.44/0.68 (step @p883 :rule refl :args (@t588)) % 0.44/0.68 (step @p884 :rule refl :args (@t325)) % 0.44/0.68 (step @p885 :rule refl :args (@t59)) % 0.44/0.68 (step @p886 :rule cong :premises (@p885 @p884) :args ((= @t59 @t325))) % 0.44/0.68 (step @p887 :rule symm :premises (@p886)) % 0.44/0.68 (step @p888 :rule eq_resolve :premises (@p885 @p887)) % 0.44/0.68 (step @p889 :rule cong :premises (@p888) :args (@t589)) % 0.44/0.68 (step @p890 :rule nary_cong :premises (@p889 @p874 @p883) :args (@t590)) % 0.44/0.68 (step @p891 :rule cong :premises (@p890) :args ((forall @t62 @t590))) % 0.44/0.68 (step @p892 :rule trans :premises (@p891 @p882)) % 0.44/0.68 (step @p893 :rule aci_norm :args ((= (or (or @t589 @t324) @t588) @t590))) % 0.44/0.68 (step @p894 :rule bool-and-de-morgan :args (@t59 @t323 true)) % 0.44/0.68 (step @p895 :rule nary_cong :premises (@p894 @p883) :args ((or (not @t591) @t588))) % 0.44/0.68 (step @p896 :rule trans :premises (@p895 @p893)) % 0.44/0.68 (step @p897 :rule bool-impl-elim :args (@t591 @t588)) % 0.44/0.68 (step @p898 :rule trans :premises (@p897 @p896)) % 0.44/0.68 (step @p899 :rule cong :premises (@p898) :args ((forall @t62 (=> @t591 @t588)))) % 0.44/0.68 (step @p900 :rule trans :premises (@p899 @p892)) % 0.44/0.68 (step @p901 :rule refl :args (@t321)) % 0.44/0.68 (step @p902 :rule refl :args (@t52)) % 0.44/0.68 (step @p903 :rule cong :premises (@p902 @p901) :args ((= @t52 @t321))) % 0.44/0.68 (step @p904 :rule symm :premises (@p903)) % 0.44/0.68 (step @p905 :rule eq_resolve :premises (@p902 @p904)) % 0.44/0.68 (step @p906 :rule cong :premises (@p905) :args (@t592)) % 0.44/0.68 (step @p907 :rule nary_cong :premises (@p906 @p328) :args (@t593)) % 0.44/0.68 (step @p908 :rule cong :premises (@p907) :args ((forall @t9 @t593))) % 0.44/0.68 (step @p909 :rule bool-impl-elim :args (@t52 @t7)) % 0.44/0.68 (step @p910 :rule cong :premises (@p909) :args (@t55)) % 0.44/0.68 (step @p911 :rule trans :premises (@p910 @p908)) % 0.44/0.68 (step @p912 :rule refl :args ((tptp.in @t49 @t2))) % 0.44/0.68 (step @p913 :rule refl :args (@t319)) % 0.44/0.68 (step @p914 :rule cong :premises (@p913 @p289) :args (@t320)) % 0.44/0.68 (step @p915 :rule trans :premises (@p914 @p912)) % 0.44/0.68 (step @p916 :rule refl :args (tptp.in)) % 0.44/0.68 (step @p917 :rule ho_cong :premises (@p916 @p913)) % 0.44/0.68 (step @p918 :rule ho_cong :premises (@p917 @p289)) % 0.44/0.68 (step @p919 :rule cong :premises (@p918 @p915) :args ((= (_ @t594 @t2) @t320))) % 0.44/0.68 (step @p920 :rule symm :premises (@p919)) % 0.44/0.68 (step @p921 :rule refl :args (@t56)) % 0.44/0.68 (step @p922 :rule eq_resolve :premises (@p921 @p920)) % 0.44/0.68 (step @p923 :rule refl :args (@t49)) % 0.44/0.68 (step @p924 :rule cong :premises (@p923 @p913) :args ((= @t49 @t319))) % 0.44/0.68 (step @p925 :rule symm :premises (@p924)) % 0.44/0.68 (step @p926 :rule eq_resolve :premises (@p923 @p925)) % 0.44/0.68 (step @p927 :rule ho_cong :premises (@p916 @p926)) % 0.44/0.68 (step @p928 :rule ho_cong :premises (@p927 @p289)) % 0.44/0.68 (step @p929 :rule trans :premises (@p928 @p922)) % 0.44/0.68 (step @p930 :rule nary_cong :premises (@p906 @p343 @p929) :args (@t595)) % 0.44/0.68 (step @p931 :rule cong :premises (@p930) :args ((forall @t9 @t595))) % 0.44/0.68 (step @p932 :rule aci_norm :args ((= (or (or @t592 @t439) @t56) @t595))) % 0.44/0.68 (step @p933 :rule bool-and-de-morgan :args (@t52 @t7 true)) % 0.44/0.68 (step @p934 :rule nary_cong :premises (@p933 @p921) :args ((or (not @t57) @t56))) % 0.44/0.68 (step @p935 :rule trans :premises (@p934 @p932)) % 0.44/0.68 (step @p936 :rule bool-impl-elim :args (@t57 @t56)) % 0.44/0.68 (step @p937 :rule trans :premises (@p936 @p935)) % 0.44/0.68 (step @p938 :rule cong :premises (@p937) :args (@t58)) % 0.44/0.68 (step @p939 :rule trans :premises (@p938 @p931)) % 0.44/0.68 (step @p940 :rule refl :args (@t59)) % 0.44/0.68 (step @p941 :rule nary_cong :premises (@p940 @p939) :args (@t60)) % 0.44/0.68 (step @p942 :rule cong :premises (@p941 @p911) :args (@t61)) % 0.44/0.68 (step @p943 :rule cong :premises (@p942) :args (@t63)) % 0.44/0.68 (step @p944 :rule trans :premises (@p943 @p900)) % 0.44/0.68 (step @p945 :rule refl :args (tptp.omegaIndAx)) % 0.44/0.68 (step @p946 :rule cong :premises (@p945 @p944) :args (@t64)) % 0.44/0.68 (step @p947 :rule eq_resolve :premises (@p8 @p946)) % 0.44/0.68 (step @p948 :rule cong :premises (@p947 @p869) :args (@t596)) % 0.44/0.68 (step @p949 :rule refl :args ((tptp.in @t49 tptp.omega))) % 0.44/0.68 (step @p950 :rule refl :args (tptp.omega)) % 0.44/0.68 (step @p951 :rule cong :premises (@p913 @p950) :args (@t330)) % 0.44/0.68 (step @p952 :rule trans :premises (@p951 @p949)) % 0.44/0.68 (step @p953 :rule ho_cong :premises (@p917 @p950)) % 0.44/0.68 (step @p954 :rule cong :premises (@p953 @p952) :args ((= (_ @t594 tptp.omega) @t330))) % 0.44/0.68 (step @p955 :rule symm :premises (@p954)) % 0.44/0.68 (step @p956 :rule refl :args (@t51)) % 0.44/0.68 (step @p957 :rule eq_resolve :premises (@p956 @p955)) % 0.44/0.68 (step @p958 :rule ho_cong :premises (@p927 @p950)) % 0.44/0.68 (step @p959 :rule trans :premises (@p958 @p957)) % 0.44/0.68 (step @p960 :rule nary_cong :premises (@p906 @p959) :args (@t597)) % 0.44/0.68 (step @p961 :rule cong :premises (@p960) :args ((forall @t9 @t597))) % 0.44/0.68 (step @p962 :rule bool-impl-elim :args (@t52 @t51)) % 0.44/0.68 (step @p963 :rule cong :premises (@p962) :args (@t53)) % 0.44/0.68 (step @p964 :rule trans :premises (@p963 @p961)) % 0.44/0.68 (step @p965 :rule refl :args (tptp.omegaSAx)) % 0.44/0.68 (step @p966 :rule cong :premises (@p965 @p964) :args (@t54)) % 0.44/0.68 (step @p967 :rule eq_resolve :premises (@p7 @p966)) % 0.44/0.68 (step @p968 :rule cong :premises (@p967 @p948) :args (@t598)) % 0.44/0.68 (step @p969 :rule cong :premises (@p6 @p968) :args (@t599)) % 0.44/0.68 (step @p970 :rule eq-symm :args (@t336 @t337)) % 0.44/0.68 (step @p971 :rule cong :premises (@p970) :args ((forall @t44 (= @t336 @t337)))) % 0.44/0.68 (step @p972 :rule refl :args (@t337)) % 0.44/0.68 (step @p973 :rule refl :args ((tptp.in @t4 @t41))) % 0.44/0.68 (step @p974 :rule refl :args (@t335)) % 0.44/0.68 (step @p975 :rule cong :premises (@p146 @p974) :args (@t336)) % 0.44/0.68 (step @p976 :rule trans :premises (@p975 @p973)) % 0.44/0.68 (step @p977 :rule ho_cong :premises (@p149 @p974)) % 0.44/0.68 (step @p978 :rule cong :premises (@p977 @p976) :args ((= (_ @t5 @t335) @t336))) % 0.44/0.68 (step @p979 :rule symm :premises (@p978)) % 0.44/0.68 (step @p980 :rule refl :args (@t42)) % 0.44/0.68 (step @p981 :rule eq_resolve :premises (@p980 @p979)) % 0.44/0.68 (step @p982 :rule refl :args (@t41)) % 0.44/0.68 (step @p983 :rule cong :premises (@p982 @p974) :args ((= @t41 @t335))) % 0.44/0.68 (step @p984 :rule symm :premises (@p983)) % 0.44/0.68 (step @p985 :rule eq_resolve :premises (@p982 @p984)) % 0.44/0.68 (step @p986 :rule ho_cong :premises (@p149 @p985)) % 0.44/0.68 (step @p987 :rule trans :premises (@p986 @p981)) % 0.44/0.68 (step @p988 :rule cong :premises (@p987 @p972) :args (@t600)) % 0.44/0.68 (step @p989 :rule cong :premises (@p988) :args ((forall @t44 @t600))) % 0.44/0.68 (step @p990 :rule trans :premises (@p989 @p971)) % 0.44/0.68 (step @p991 :rule nary_cong :premises (@p742 @p727) :args (@t601)) % 0.44/0.68 (step @p992 :rule cong :premises (@p991) :args ((forall @t39 @t601))) % 0.44/0.68 (step @p993 :rule bool-and-de-morgan :args (@t6 @t37 true)) % 0.44/0.68 (step @p994 :rule cong :premises (@p993) :args (@t602)) % 0.44/0.68 (step @p995 :rule trans :premises (@p994 @p992)) % 0.44/0.68 (step @p996 :rule cong :premises (@p995) :args (@t603)) % 0.44/0.68 (step @p997 :rule exists-elim :args ((= @t40 @t603))) % 0.44/0.68 (step @p998 :rule trans :premises (@p997 @p996)) % 0.44/0.68 (step @p999 :rule refl :args (@t42)) % 0.44/0.68 (step @p1000 :rule cong :premises (@p999 @p998) :args (@t43)) % 0.44/0.68 (step @p1001 :rule cong :premises (@p1000) :args (@t45)) % 0.44/0.68 (step @p1002 :rule trans :premises (@p1001 @p990)) % 0.44/0.68 (step @p1003 :rule refl :args (tptp.setunionAx)) % 0.44/0.68 (step @p1004 :rule cong :premises (@p1003 @p1002) :args (@t46)) % 0.44/0.68 (step @p1005 :rule eq_resolve :premises (@p5 @p1004)) % 0.44/0.68 (step @p1006 :rule cong :premises (@p1005 @p969) :args (@t604)) % 0.44/0.68 (step @p1007 :rule eq-symm :args (@t341 @t342)) % 0.44/0.68 (step @p1008 :rule cong :premises (@p1007) :args ((forall @t12 (= @t341 @t342)))) % 0.44/0.68 (step @p1009 :rule refl :args (@t342)) % 0.44/0.68 (step @p1010 :rule refl :args ((tptp.in @t1 @t31))) % 0.44/0.68 (step @p1011 :rule refl :args (@t340)) % 0.44/0.68 (step @p1012 :rule refl :args (@t1)) % 0.44/0.68 (step @p1013 :rule cong :premises (@p1012 @p1011) :args (@t341)) % 0.44/0.68 (step @p1014 :rule trans :premises (@p1013 @p1010)) % 0.44/0.68 (step @p1015 :rule refl :args (@t32)) % 0.44/0.68 (step @p1016 :rule ho_cong :premises (@p1015 @p1011)) % 0.44/0.68 (step @p1017 :rule cong :premises (@p1016 @p1014) :args ((= (_ @t32 @t340) @t341))) % 0.44/0.68 (step @p1018 :rule symm :premises (@p1017)) % 0.44/0.68 (step @p1019 :rule refl :args (@t33)) % 0.44/0.68 (step @p1020 :rule eq_resolve :premises (@p1019 @p1018)) % 0.44/0.68 (step @p1021 :rule refl :args (@t31)) % 0.44/0.68 (step @p1022 :rule cong :premises (@p1021 @p1011) :args ((= @t31 @t340))) % 0.44/0.68 (step @p1023 :rule symm :premises (@p1022)) % 0.44/0.68 (step @p1024 :rule eq_resolve :premises (@p1021 @p1023)) % 0.44/0.68 (step @p1025 :rule ho_cong :premises (@p1015 @p1024)) % 0.44/0.68 (step @p1026 :rule trans :premises (@p1025 @p1020)) % 0.44/0.68 (step @p1027 :rule cong :premises (@p1026 @p1009) :args (@t605)) % 0.44/0.68 (step @p1028 :rule cong :premises (@p1027) :args ((forall @t12 @t605))) % 0.44/0.68 (step @p1029 :rule trans :premises (@p1028 @p1008)) % 0.44/0.68 (step @p1030 :rule nary_cong :premises (@p742 @p328) :args (@t606)) % 0.44/0.68 (step @p1031 :rule cong :premises (@p1030) :args ((forall @t9 @t606))) % 0.44/0.68 (step @p1032 :rule bool-impl-elim :args (@t6 @t7)) % 0.44/0.68 (step @p1033 :rule cong :premises (@p1032) :args (@t30)) % 0.44/0.68 (step @p1034 :rule trans :premises (@p1033 @p1031)) % 0.44/0.68 (step @p1035 :rule refl :args (@t33)) % 0.44/0.68 (step @p1036 :rule cong :premises (@p1035 @p1034) :args (@t34)) % 0.44/0.68 (step @p1037 :rule cong :premises (@p1036) :args (@t35)) % 0.44/0.68 (step @p1038 :rule trans :premises (@p1037 @p1029)) % 0.44/0.68 (step @p1039 :rule refl :args (tptp.powersetAx)) % 0.44/0.68 (step @p1040 :rule cong :premises (@p1039 @p1038) :args (@t36)) % 0.44/0.68 (step @p1041 :rule eq_resolve :premises (@p4 @p1040)) % 0.44/0.68 (step @p1042 :rule cong :premises (@p1041 @p1006) :args (@t607)) % 0.44/0.68 (step @p1043 :rule nary_cong :premises (@p229 @p652) :args (@t608)) % 0.44/0.68 (step @p1044 :rule refl :args ((tptp.in @t19 @t24))) % 0.44/0.68 (step @p1045 :rule refl :args (@t345)) % 0.44/0.68 (step @p1046 :rule refl :args (@t19)) % 0.44/0.68 (step @p1047 :rule cong :premises (@p1046 @p1045) :args (@t346)) % 0.44/0.68 (step @p1048 :rule trans :premises (@p1047 @p1044)) % 0.44/0.68 (step @p1049 :rule refl :args (@t20)) % 0.44/0.68 (step @p1050 :rule ho_cong :premises (@p1049 @p1045)) % 0.44/0.68 (step @p1051 :rule cong :premises (@p1050 @p1048) :args ((= (_ @t20 @t345) @t346))) % 0.44/0.68 (step @p1052 :rule symm :premises (@p1051)) % 0.44/0.68 (step @p1053 :rule refl :args (@t25)) % 0.44/0.68 (step @p1054 :rule eq_resolve :premises (@p1053 @p1052)) % 0.44/0.68 (step @p1055 :rule refl :args (@t24)) % 0.44/0.68 (step @p1056 :rule cong :premises (@p1055 @p1045) :args ((= @t24 @t345))) % 0.44/0.68 (step @p1057 :rule symm :premises (@p1056)) % 0.44/0.68 (step @p1058 :rule eq_resolve :premises (@p1055 @p1057)) % 0.44/0.68 (step @p1059 :rule ho_cong :premises (@p1049 @p1058)) % 0.44/0.68 (step @p1060 :rule trans :premises (@p1059 @p1054)) % 0.44/0.68 (step @p1061 :rule cong :premises (@p1060 @p1043) :args (@t609)) % 0.44/0.68 (step @p1062 :rule cong :premises (@p1061) :args ((forall @t27 @t609))) % 0.44/0.68 (step @p1063 :rule refl :args (@t21)) % 0.44/0.68 (step @p1064 :rule eq-symm :args (@t19 @t4)) % 0.44/0.68 (step @p1065 :rule nary_cong :premises (@p1064 @p1063) :args (@t22)) % 0.44/0.68 (step @p1066 :rule refl :args (@t25)) % 0.44/0.68 (step @p1067 :rule cong :premises (@p1066 @p1065) :args (@t26)) % 0.44/0.68 (step @p1068 :rule cong :premises (@p1067) :args (@t28)) % 0.44/0.68 (step @p1069 :rule trans :premises (@p1068 @p1062)) % 0.44/0.68 (step @p1070 :rule refl :args (tptp.setadjoinAx)) % 0.44/0.68 (step @p1071 :rule cong :premises (@p1070 @p1069) :args (@t29)) % 0.44/0.68 (step @p1072 :rule eq_resolve :premises (@p3 @p1071)) % 0.44/0.68 (step @p1073 :rule cong :premises (@p1072 @p1042) :args (@t610)) % 0.44/0.68 (step @p1074 :rule refl :args (tptp.emptysetAx)) % 0.44/0.68 (step @p1075 :rule cong :premises (@p1074 @p79) :args (@t18)) % 0.44/0.68 (step @p1076 :rule eq_resolve :premises (@p2 @p1075)) % 0.44/0.68 (step @p1077 :rule cong :premises (@p1076 @p1073) :args (@t611)) % 0.44/0.68 (step @p1078 :rule bool-impl-elim :args (@t350 @t3)) % 0.44/0.68 (step @p1079 :rule cong :premises (@p1078) :args ((forall @t12 (=> @t350 @t3)))) % 0.44/0.68 (step @p1080 :rule refl :args (@t3)) % 0.44/0.68 (step @p1081 :rule cong :premises (@p328 @p741) :args (@t8)) % 0.44/0.68 (step @p1082 :rule cong :premises (@p1081) :args (@t10)) % 0.44/0.68 (step @p1083 :rule cong :premises (@p1082 @p1080) :args (@t11)) % 0.44/0.68 (step @p1084 :rule cong :premises (@p1083) :args (@t13)) % 0.44/0.68 (step @p1085 :rule trans :premises (@p1084 @p1079)) % 0.44/0.68 (step @p1086 :rule refl :args (tptp.setextAx)) % 0.44/0.68 (step @p1087 :rule cong :premises (@p1086 @p1085) :args (@t14)) % 0.44/0.68 (step @p1088 :rule eq_resolve :premises (@p1 @p1087)) % 0.44/0.68 (step @p1089 :rule cong :premises (@p1088 @p1077) :args (@t612)) % 0.44/0.68 (step @p1090 :rule cong :premises (@p1089) :args ((not @t612))) % 0.44/0.68 (step @p1091 :rule trans :premises (@p1090 @p69)) % 0.44/0.68 (step @p1092 :rule eq-symm :args (@t212 @t19)) % 0.44/0.68 (step @p1093 :rule nary_cong :premises (@p361 @p1092) :args (@t613)) % 0.44/0.68 (step @p1094 :rule cong :premises (@p1093) :args (@t614)) % 0.44/0.68 (step @p1095 :rule cong :premises (@p1094) :args (@t615)) % 0.44/0.68 (step @p1096 :rule refl :args (@t215)) % 0.44/0.68 (step @p1097 :rule refl :args (@t218)) % 0.44/0.68 (step @p1098 :rule nary_cong :premises (@p1097 @p1096 @p1095) :args (@t616)) % 0.44/0.68 (step @p1099 :rule aci_norm :args ((= @t618 @t616))) % 0.44/0.68 (step @p1100 :rule trans :premises (@p1099 @p1098)) % 0.44/0.68 (step @p1101 :rule cong :premises (@p1100) :args (@t619)) % 0.44/0.68 (step @p1102 :rule quant-merge-prenex :args ((= (forall @t148 @t621) @t619))) % 0.44/0.68 (step @p1103 :rule refl :args (@t218)) % 0.44/0.68 (step @p1104 :rule alpha_equiv :args (@t622 (@list @t212) @t394)) % 0.44/0.68 (step @p1105 :rule nary_cong :premises (@p1104 @p1103) :args (@t623)) % 0.44/0.68 (step @p1106 :rule quant-miniscope-or :args ((= @t621 @t623))) % 0.44/0.68 (step @p1107 :rule trans :premises (@p1106 @p1105)) % 0.44/0.68 (step @p1108 :rule symm :premises (@p1107)) % 0.44/0.68 (step @p1109 :rule cong :premises (@p1108) :args ((forall @t148 (or @t402 @t218)))) % 0.44/0.68 (step @p1110 :rule trans :premises (@p1109 @p1102)) % 0.44/0.68 (step @p1111 :rule trans :premises (@p1110 @p1101)) % 0.44/0.68 (step @p1112 :rule nary_cong :premises (@p207 @p1103) :args ((or @t404 @t218))) % 0.44/0.68 (step @p1113 :rule bool-impl-elim :args (@t403 @t218)) % 0.44/0.68 (step @p1114 :rule trans :premises (@p1113 @p1112)) % 0.44/0.68 (step @p1115 :rule cong :premises (@p1114) :args ((forall @t148 (=> @t403 @t218)))) % 0.44/0.68 (step @p1116 :rule trans :premises (@p1115 @p1111)) % 0.44/0.68 (step @p1117 :rule cong :premises (@p220) :args (@t624)) % 0.44/0.68 (step @p1118 :rule cong :premises (@p1117) :args (@t625)) % 0.44/0.68 (step @p1119 :rule exists-elim :args ((= @t182 @t625))) % 0.44/0.68 (step @p1120 :rule trans :premises (@p1119 @p1118)) % 0.44/0.68 (step @p1121 :rule cong :premises (@p259 @p1120) :args (@t626)) % 0.44/0.68 (step @p1122 :rule cong :premises (@p1121) :args (@t627)) % 0.44/0.68 (step @p1123 :rule trans :premises (@p1122 @p1116)) % 0.44/0.68 (step @p1124 :rule cong :premises (@p72 @p1123) :args (@t628)) % 0.44/0.68 (step @p1125 :rule cong :premises (@p89 @p1124) :args (@t629)) % 0.44/0.68 (step @p1126 :rule cong :premises (@p111 @p1125) :args (@t630)) % 0.44/0.68 (step @p1127 :rule cong :premises (@p192 @p1126) :args (@t631)) % 0.44/0.68 (step @p1128 :rule cong :premises (@p263 @p1127) :args (@t632)) % 0.44/0.68 (step @p1129 :rule cong :premises (@p317 @p1128) :args (@t633)) % 0.44/0.68 (step @p1130 :rule cong :premises (@p335 @p1129) :args (@t634)) % 0.44/0.68 (step @p1131 :rule cong :premises (@p356 @p1130) :args (@t635)) % 0.44/0.68 (step @p1132 :rule cong :premises (@p425 @p1131) :args (@t636)) % 0.44/0.68 (step @p1133 :rule cong :premises (@p702 @p1132) :args (@t637)) % 0.44/0.68 (step @p1134 :rule cong :premises (@p764 @p1133) :args (@t638)) % 0.44/0.68 (step @p1135 :rule cong :premises (@p858 @p1134) :args (@t639)) % 0.44/0.68 (step @p1136 :rule cong :premises (@p945 @p1135) :args (@t640)) % 0.44/0.68 (step @p1137 :rule cong :premises (@p965 @p1136) :args (@t641)) % 0.44/0.68 (step @p1138 :rule refl :args (tptp.omega0Ax)) % 0.44/0.68 (step @p1139 :rule cong :premises (@p1138 @p1137) :args (@t642)) % 0.44/0.68 (step @p1140 :rule cong :premises (@p1003 @p1139) :args (@t643)) % 0.44/0.68 (step @p1141 :rule cong :premises (@p1039 @p1140) :args (@t644)) % 0.44/0.68 (step @p1142 :rule cong :premises (@p1070 @p1141) :args (@t645)) % 0.44/0.68 (step @p1143 :rule cong :premises (@p1074 @p1142) :args (@t646)) % 0.44/0.68 (step @p1144 :rule cong :premises (@p1086 @p1143) :args (@t647)) % 0.44/0.68 (step @p1145 :rule cong :premises (@p1144) :args ((not @t647))) % 0.44/0.68 (step @p1146 :rule refl :args (@t182)) % 0.44/0.68 (step @p1147 :rule cong :premises (@p270 @p1146) :args (@t183)) % 0.44/0.68 (step @p1148 :rule cong :premises (@p1147) :args (@t184)) % 0.44/0.68 (step @p1149 :rule cong :premises (@p72 @p1148) :args (@t185)) % 0.44/0.68 (step @p1150 :rule cong :premises (@p89 @p1149) :args (@t186)) % 0.44/0.68 (step @p1151 :rule cong :premises (@p111 @p1150) :args (@t187)) % 0.44/0.68 (step @p1152 :rule cong :premises (@p192 @p1151) :args (@t188)) % 0.44/0.68 (step @p1153 :rule cong :premises (@p263 @p1152) :args (@t189)) % 0.44/0.68 (step @p1154 :rule cong :premises (@p317 @p1153) :args (@t190)) % 0.44/0.68 (step @p1155 :rule cong :premises (@p335 @p1154) :args (@t191)) % 0.44/0.68 (step @p1156 :rule cong :premises (@p356 @p1155) :args (@t192)) % 0.44/0.68 (step @p1157 :rule cong :premises (@p425 @p1156) :args (@t193)) % 0.44/0.68 (step @p1158 :rule cong :premises (@p702 @p1157) :args (@t194)) % 0.44/0.68 (step @p1159 :rule cong :premises (@p764 @p1158) :args (@t195)) % 0.44/0.68 (step @p1160 :rule cong :premises (@p858 @p1159) :args (@t196)) % 0.44/0.68 (step @p1161 :rule cong :premises (@p945 @p1160) :args (@t197)) % 0.44/0.68 (step @p1162 :rule cong :premises (@p965 @p1161) :args (@t198)) % 0.44/0.68 (step @p1163 :rule cong :premises (@p1138 @p1162) :args (@t199)) % 0.44/0.68 (step @p1164 :rule cong :premises (@p1003 @p1163) :args (@t200)) % 0.44/0.68 (step @p1165 :rule cong :premises (@p1039 @p1164) :args (@t201)) % 0.44/0.68 (step @p1166 :rule cong :premises (@p1070 @p1165) :args (@t202)) % 0.44/0.68 (step @p1167 :rule cong :premises (@p1074 @p1166) :args (@t203)) % 0.44/0.68 (step @p1168 :rule cong :premises (@p1086 @p1167) :args (@t204)) % 0.44/0.68 (step @p1169 :rule cong :premises (@p1168) :args (@t205)) % 0.44/0.68 (step @p1170 :rule trans :premises (@p1169 @p1145)) % 0.44/0.68 (step @p1171 :rule trans :premises (@p1170 @p1091 @p42)) % 0.44/0.68 (step @p1172 :rule eq_resolve :premises (@p21 @p1171)) % 0.44/0.68 (step @p1173 :rule not_implies_elim2 :premises (@p1172)) % 0.44/0.68 (step @p1174 :rule not_implies_elim2 :premises (@p1173)) % 0.44/0.68 (step @p1175 :rule not_implies_elim2 :premises (@p1174)) % 0.44/0.68 (step @p1176 :rule not_implies_elim2 :premises (@p1175)) % 0.44/0.68 (step @p1177 :rule not_implies_elim2 :premises (@p1176)) % 0.44/0.68 (step @p1178 :rule not_implies_elim2 :premises (@p1177)) % 0.44/0.68 (step @p1179 :rule not_implies_elim2 :premises (@p1178)) % 0.44/0.68 (step @p1180 :rule not_implies_elim2 :premises (@p1179)) % 0.44/0.68 (step @p1181 :rule not_implies_elim2 :premises (@p1180)) % 0.44/0.68 (step @p1182 :rule not_implies_elim2 :premises (@p1181)) % 0.44/0.68 (step @p1183 :rule not_implies_elim2 :premises (@p1182)) % 0.44/0.68 (step @p1184 :rule not_implies_elim2 :premises (@p1183)) % 0.44/0.68 (step @p1185 :rule not_implies_elim2 :premises (@p1184)) % 0.44/0.68 (step @p1186 :rule not_implies_elim2 :premises (@p1185)) % 0.44/0.68 (step @p1187 :rule not_implies_elim2 :premises (@p1186)) % 0.44/0.68 (step @p1188 :rule not_implies_elim2 :premises (@p1187)) % 0.44/0.68 (step @p1189 :rule not_implies_elim2 :premises (@p1188)) % 0.44/0.68 (step @p1190 :rule not_implies_elim2 :premises (@p1189)) % 0.44/0.68 (step @p1191 :rule not_implies_elim2 :premises (@p1190)) % 0.44/0.68 (step @p1192 :rule skolemize :premises (@p1191)) % 0.44/0.68 (step @p1193 :rule bool-double-not-elim :args (@t649)) % 0.44/0.68 (step @p1194 :rule refl :args (@t654)) % 0.44/0.68 (step @p1195 :rule nary_cong :premises (@p1194 @p1193) :args ((or @t654 (not @t653)))) % 0.44/0.68 (step @p1196 :rule cnf_or_neg :args (@t654 0)) % 0.44/0.68 (step @p1197 :rule eq_resolve :premises (@p1196 @p1195)) % 0.44/0.68 (step @p1198 :rule reordering :premises (@p1197) :args ((or @t649 @t654))) % 0.44/0.68 (step @p1199 :rule chain_m_resolution :premises (@p1198 @p1192) :args (@t649 @t655 @t656)) % 0.44/0.68 (step @p1200 :rule bool-double-not-elim :args (@t651)) % 0.44/0.68 (step @p1201 :rule nary_cong :premises (@p1194 @p1200) :args ((or @t654 (not @t652)))) % 0.44/0.68 (step @p1202 :rule cnf_or_neg :args (@t654 1)) % 0.44/0.68 (step @p1203 :rule eq_resolve :premises (@p1202 @p1201)) % 0.44/0.68 (step @p1204 :rule reordering :premises (@p1203) :args ((or @t651 @t654))) % 0.44/0.68 (step @p1205 :rule chain_m_resolution :premises (@p1204 @p1192) :args (@t651 @t655 @t656)) % 0.44/0.68 (assume-push @p1212 @t649) % 0.44/0.68 (step @p1207 :rule instantiate :premises (@p1199) :args ((@list @t650))) % 0.44/0.68 (step-pop @p1213 :rule scope :premises (@p1207)) % 0.44/0.68 (step @p1208 :rule process_scope :premises (@p1213) :args (@t652)) % 0.44/0.68 (step @p1210 :rule implies_elim :premises (@p1208)) % 0.44/0.68 (step @p1211 false :rule chain_m_resolution :premises (@p1210 @p1205 @p1199) :args (false (@list false false) (@list @t651 @t649))) % 0.44/0.68 ) % 0.44/0.68 % SZS output end Proof % 0.44/0.68 % cvc5 exiting %------------------------------------------------------------------------------