%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU506^1 : 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 : n018.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 08:51:59 AM UTC 2026 % Result : Theorem 169.03s 169.67s % Output : Proof 169.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU506^1 : 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 % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:39:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.51 %----Proving TH0 % 169.03/169.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 169.03/169.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 169.03/169.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 169.03/169.67 --- Run --ho-elim --full-saturate-quant at 18s... % 169.03/169.67 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 169.03/169.67 % SZS status Theorem % 169.03/169.67 % SZS output start Proof % 169.03/169.67 ( % 169.03/169.67 (declare-sort $$unsorted 0) % 169.03/169.67 (declare-const tptp.emptyset $$unsorted) % 169.03/169.67 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 169.03/169.67 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 169.03/169.67 (declare-const tptp.prop2setE Bool) % 169.03/169.67 (declare-const tptp.exuE3e Bool) % 169.03/169.67 (declare-const tptp.dsetconstrEL Bool) % 169.03/169.67 (declare-const tptp.dsetconstrI Bool) % 169.03/169.67 (declare-const tptp.descrp Bool) % 169.03/169.67 (declare-const tptp.exuE1 Bool) % 169.03/169.67 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 169.03/169.67 (declare-const tptp.emptysetimpfalse Bool) % 169.03/169.67 (declare-const tptp.wellorderingAx Bool) % 169.03/169.67 (declare-const tptp.replAx Bool) % 169.03/169.67 (declare-const tptp.setext Bool) % 169.03/169.67 (declare-const tptp.powersetAx Bool) % 169.03/169.67 (declare-const tptp.omegaSAx Bool) % 169.03/169.67 (declare-const tptp.setextAx Bool) % 169.03/169.67 (declare-const tptp.foundationAx Bool) % 169.03/169.67 (declare-const tptp.emptysetAx Bool) % 169.03/169.67 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 169.03/169.67 (declare-const tptp.dsetconstrER Bool) % 169.03/169.67 (declare-const tptp.setadjoinAx Bool) % 169.03/169.67 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 169.03/169.67 (declare-const tptp.notinemptyset Bool) % 169.03/169.67 (declare-const tptp.omega0Ax Bool) % 169.03/169.67 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 169.03/169.67 (declare-const tptp.setunionAx Bool) % 169.03/169.67 (declare-const tptp.omega $$unsorted) % 169.03/169.67 (declare-const tptp.omegaIndAx Bool) % 169.03/169.67 (declare-const tptp.emptysetE Bool) % 169.03/169.67 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 169.03/169.67 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 169.03/169.67 (define @t1 () (@var "B" $$unsorted)) % 169.03/169.67 (define @t2 () (@var "A" $$unsorted)) % 169.03/169.67 (define @t3 () (= @t2 @t1)) % 169.03/169.67 (define @t4 () (@var "Xx" $$unsorted)) % 169.03/169.67 (define @t5 () (_ tptp.in @t4)) % 169.03/169.67 (define @t6 () (_ @t5 @t1)) % 169.03/169.67 (define @t7 () (_ @t5 @t2)) % 169.03/169.67 (define @t8 () (= @t7 @t6)) % 169.03/169.67 (define @t9 () (@list @t4)) % 169.03/169.67 (define @t10 () (forall @t9 @t8)) % 169.03/169.67 (define @t11 () (=> @t10 @t3)) % 169.03/169.67 (define @t12 () (@list @t2 @t1)) % 169.03/169.67 (define @t13 () (forall @t12 @t11)) % 169.03/169.67 (define @t14 () (= tptp.setextAx @t13)) % 169.03/169.67 (define @t15 () (_ @t5 tptp.emptyset)) % 169.03/169.67 (define @t16 () (not @t15)) % 169.03/169.67 (define @t17 () (forall @t9 @t16)) % 169.03/169.67 (define @t18 () (= tptp.emptysetAx @t17)) % 169.03/169.67 (define @t19 () (@var "Xy" $$unsorted)) % 169.03/169.67 (define @t20 () (_ tptp.in @t19)) % 169.03/169.67 (define @t21 () (_ @t20 @t2)) % 169.03/169.67 (define @t22 () (or (= @t19 @t4) @t21)) % 169.03/169.67 (define @t23 () (_ tptp.setadjoin @t4)) % 169.03/169.67 (define @t24 () (_ @t23 @t2)) % 169.03/169.67 (define @t25 () (_ @t20 @t24)) % 169.03/169.67 (define @t26 () (= @t25 @t22)) % 169.03/169.67 (define @t27 () (@list @t4 @t2 @t19)) % 169.03/169.67 (define @t28 () (forall @t27 @t26)) % 169.03/169.67 (define @t29 () (= tptp.setadjoinAx @t28)) % 169.03/169.67 (define @t30 () (forall @t9 (=> @t6 @t7))) % 169.03/169.67 (define @t31 () (_ tptp.powerset @t2)) % 169.03/169.67 (define @t32 () (_ tptp.in @t1)) % 169.03/169.67 (define @t33 () (_ @t32 @t31)) % 169.03/169.67 (define @t34 () (= @t33 @t30)) % 169.03/169.67 (define @t35 () (forall @t12 @t34)) % 169.03/169.67 (define @t36 () (= tptp.powersetAx @t35)) % 169.03/169.67 (define @t37 () (_ @t32 @t2)) % 169.03/169.67 (define @t38 () (and @t6 @t37)) % 169.03/169.67 (define @t39 () (@list @t1)) % 169.03/169.67 (define @t40 () (exists @t39 @t38)) % 169.03/169.67 (define @t41 () (_ tptp.setunion @t2)) % 169.03/169.67 (define @t42 () (_ @t5 @t41)) % 169.03/169.67 (define @t43 () (= @t42 @t40)) % 169.03/169.67 (define @t44 () (@list @t2 @t4)) % 169.03/169.67 (define @t45 () (forall @t44 @t43)) % 169.03/169.67 (define @t46 () (= tptp.setunionAx @t45)) % 169.03/169.67 (define @t47 () (_ tptp.in tptp.emptyset)) % 169.03/169.67 (define @t48 () (_ @t47 tptp.omega)) % 169.03/169.67 (define @t49 () (_ @t23 @t4)) % 169.03/169.67 (define @t50 () (_ tptp.in @t49)) % 169.03/169.67 (define @t51 () (_ @t50 tptp.omega)) % 169.03/169.67 (define @t52 () (_ @t5 tptp.omega)) % 169.03/169.67 (define @t53 () (forall @t9 (=> @t52 @t51))) % 169.03/169.67 (define @t54 () (= tptp.omegaSAx @t53)) % 169.03/169.67 (define @t55 () (forall @t9 (=> @t52 @t7))) % 169.03/169.67 (define @t56 () (_ @t50 @t2)) % 169.03/169.67 (define @t57 () (and @t52 @t7)) % 169.03/169.67 (define @t58 () (forall @t9 (=> @t57 @t56))) % 169.03/169.67 (define @t59 () (_ @t47 @t2)) % 169.03/169.67 (define @t60 () (and @t59 @t58)) % 169.03/169.67 (define @t61 () (=> @t60 @t55)) % 169.03/169.67 (define @t62 () (@list @t2)) % 169.03/169.67 (define @t63 () (forall @t62 @t61)) % 169.03/169.67 (define @t64 () (= tptp.omegaIndAx @t63)) % 169.03/169.67 (define @t65 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 169.03/169.67 (define @t66 () (_ (_ @t65 @t19) @t4)) % 169.03/169.67 (define @t67 () (and @t21 @t66)) % 169.03/169.67 (define @t68 () (@list @t19)) % 169.03/169.67 (define @t69 () (exists @t68 @t67)) % 169.03/169.67 (define @t70 () (= @t6 @t69)) % 169.03/169.67 (define @t71 () (forall @t9 @t70)) % 169.03/169.67 (define @t72 () (exists @t39 @t71)) % 169.03/169.67 (define @t73 () (_ @t65 @t4)) % 169.03/169.67 (define @t74 () (_ @t73 @t19)) % 169.03/169.67 (define @t75 () (lambda @t68 @t74)) % 169.03/169.67 (define @t76 () (=> @t7 (_ tptp.exu @t75))) % 169.03/169.67 (define @t77 () (forall @t9 @t76)) % 169.03/169.67 (define @t78 () (=> @t77 @t72)) % 169.03/169.67 (define @t79 () (@list @t65 @t2)) % 169.03/169.67 (define @t80 () (forall @t79 @t78)) % 169.03/169.67 (define @t81 () (= tptp.replAx @t80)) % 169.03/169.67 (define @t82 () (and @t6 @t7)) % 169.03/169.67 (define @t83 () (exists @t9 @t82)) % 169.03/169.67 (define @t84 () (not @t83)) % 169.03/169.67 (define @t85 () (and @t37 @t84)) % 169.03/169.67 (define @t86 () (exists @t39 @t85)) % 169.03/169.67 (define @t87 () (exists @t9 @t7)) % 169.03/169.67 (define @t88 () (=> @t87 @t86)) % 169.03/169.67 (define @t89 () (forall @t62 @t88)) % 169.03/169.67 (define @t90 () (= tptp.foundationAx @t89)) % 169.03/169.67 (define @t91 () (@var "E" $$unsorted)) % 169.03/169.67 (define @t92 () (_ @t5 @t91)) % 169.03/169.67 (define @t93 () (@var "D" $$unsorted)) % 169.03/169.67 (define @t94 () (_ @t20 @t93)) % 169.03/169.67 (define @t95 () (_ @t20 @t91)) % 169.03/169.67 (define @t96 () (forall @t68 (=> @t95 @t94))) % 169.03/169.67 (define @t97 () (or @t96 @t92)) % 169.03/169.67 (define @t98 () (_ (_ tptp.in @t91) @t1)) % 169.03/169.67 (define @t99 () (=> @t98 @t97)) % 169.03/169.67 (define @t100 () (@list @t91)) % 169.03/169.67 (define @t101 () (forall @t100 @t99)) % 169.03/169.67 (define @t102 () (@var "C" $$unsorted)) % 169.03/169.67 (define @t103 () (_ @t20 @t102)) % 169.03/169.67 (define @t104 () (and @t94 @t103)) % 169.03/169.67 (define @t105 () (exists @t68 @t104)) % 169.03/169.67 (define @t106 () (not @t105)) % 169.03/169.67 (define @t107 () (_ @t5 @t102)) % 169.03/169.67 (define @t108 () (_ (_ tptp.in @t93) @t1)) % 169.03/169.67 (define @t109 () (and @t108 @t107 @t106 @t101)) % 169.03/169.67 (define @t110 () (@list @t93 @t4)) % 169.03/169.67 (define @t111 () (exists @t110 @t109)) % 169.03/169.67 (define @t112 () (exists @t9 @t107)) % 169.03/169.67 (define @t113 () (forall @t9 (=> @t107 @t7))) % 169.03/169.67 (define @t114 () (and @t113 @t112)) % 169.03/169.67 (define @t115 () (=> @t114 @t111)) % 169.03/169.67 (define @t116 () (@list @t102)) % 169.03/169.67 (define @t117 () (forall @t116 @t115)) % 169.03/169.67 (define @t118 () (_ @t5 @t93)) % 169.03/169.67 (define @t119 () (forall @t9 (=> @t118 @t107))) % 169.03/169.67 (define @t120 () (forall @t9 (=> @t107 @t118))) % 169.03/169.67 (define @t121 () (or @t120 @t119)) % 169.03/169.67 (define @t122 () (_ (_ tptp.in @t102) @t1)) % 169.03/169.67 (define @t123 () (and @t122 @t108)) % 169.03/169.67 (define @t124 () (=> @t123 @t121)) % 169.03/169.67 (define @t125 () (@list @t102 @t93)) % 169.03/169.67 (define @t126 () (forall @t125 @t124)) % 169.03/169.67 (define @t127 () (= @t4 @t19)) % 169.03/169.67 (define @t128 () (= @t107 @t103)) % 169.03/169.67 (define @t129 () (forall @t116 (=> @t122 @t128))) % 169.03/169.67 (define @t130 () (=> @t129 @t127)) % 169.03/169.67 (define @t131 () (and @t7 @t21)) % 169.03/169.67 (define @t132 () (=> @t131 @t130)) % 169.03/169.67 (define @t133 () (@list @t4 @t19)) % 169.03/169.67 (define @t134 () (forall @t133 @t132)) % 169.03/169.67 (define @t135 () (=> @t122 @t113)) % 169.03/169.67 (define @t136 () (forall @t116 @t135)) % 169.03/169.67 (define @t137 () (and @t136 @t134 @t126 @t117)) % 169.03/169.67 (define @t138 () (exists @t39 @t137)) % 169.03/169.67 (define @t139 () (forall @t62 @t138)) % 169.03/169.67 (define @t140 () (= tptp.wellorderingAx @t139)) % 169.03/169.67 (define @t141 () (@var "Xphi" (-> $$unsorted Bool))) % 169.03/169.67 (define @t142 () (_ @t141 @t4)) % 169.03/169.67 (define @t143 () (lambda @t9 @t142)) % 169.03/169.67 (define @t144 () (_ tptp.descr @t143)) % 169.03/169.67 (define @t145 () (_ @t141 @t144)) % 169.03/169.67 (define @t146 () (_ tptp.exu @t143)) % 169.03/169.67 (define @t147 () (=> @t146 @t145)) % 169.03/169.67 (define @t148 () (@list @t141)) % 169.03/169.67 (define @t149 () (forall @t148 @t147)) % 169.03/169.67 (define @t150 () (= tptp.descrp @t149)) % 169.03/169.67 (define @t151 () (_ @t141 @t19)) % 169.03/169.67 (define @t152 () (lambda @t68 @t151)) % 169.03/169.67 (define @t153 () (_ tptp.dsetconstr @t2)) % 169.03/169.67 (define @t154 () (_ @t153 @t152)) % 169.03/169.67 (define @t155 () (_ @t5 @t154)) % 169.03/169.67 (define @t156 () (=> @t142 @t155)) % 169.03/169.67 (define @t157 () (@list @t2 @t141 @t4)) % 169.03/169.67 (define @t158 () (forall @t157 (=> @t7 @t156))) % 169.03/169.67 (define @t159 () (= tptp.dsetconstrI @t158)) % 169.03/169.67 (define @t160 () (forall @t157 (=> @t155 @t7))) % 169.03/169.67 (define @t161 () (= tptp.dsetconstrEL @t160)) % 169.03/169.67 (define @t162 () (forall @t157 (=> @t155 @t142))) % 169.03/169.67 (define @t163 () (= tptp.dsetconstrER @t162)) % 169.03/169.67 (define @t164 () (forall @t68 (=> @t151 @t127))) % 169.03/169.67 (define @t165 () (and @t142 @t164)) % 169.03/169.67 (define @t166 () (exists @t9 @t165)) % 169.03/169.67 (define @t167 () (=> @t146 @t166)) % 169.03/169.67 (define @t168 () (forall @t148 @t167)) % 169.03/169.67 (define @t169 () (= tptp.exuE1 @t168)) % 169.03/169.67 (define @t170 () (@var "Xphi" Bool)) % 169.03/169.67 (define @t171 () (=> (_ @t5 (_ tptp.prop2set @t170)) @t170)) % 169.03/169.67 (define @t172 () (@list @t170 @t4)) % 169.03/169.67 (define @t173 () (forall @t172 @t171)) % 169.03/169.67 (define @t174 () (= tptp.prop2setE @t173)) % 169.03/169.67 (define @t175 () (@list @t170)) % 169.03/169.67 (define @t176 () (forall @t175 @t170)) % 169.03/169.67 (define @t177 () (=> @t15 @t176)) % 169.03/169.67 (define @t178 () (forall @t9 @t177)) % 169.03/169.67 (define @t179 () (= tptp.emptysetE @t178)) % 169.03/169.67 (define @t180 () (forall @t9 (=> @t15 false))) % 169.03/169.67 (define @t181 () (= tptp.emptysetimpfalse @t180)) % 169.03/169.67 (define @t182 () (exists @t9 @t142)) % 169.03/169.67 (define @t183 () (=> @t146 @t182)) % 169.03/169.67 (define @t184 () (forall @t148 @t183)) % 169.03/169.67 (define @t185 () (= tptp.exuE3e @t184)) % 169.03/169.67 (define @t186 () (=> @t30 @t3)) % 169.03/169.67 (define @t187 () (forall @t9 (=> @t7 @t6))) % 169.03/169.67 (define @t188 () (=> @t187 @t186)) % 169.03/169.67 (define @t189 () (forall @t12 @t188)) % 169.03/169.67 (define @t190 () (= tptp.setext @t189)) % 169.03/169.67 (define @t191 () (= @t2 tptp.emptyset)) % 169.03/169.67 (define @t192 () (not @t7)) % 169.03/169.67 (define @t193 () (forall @t9 @t192)) % 169.03/169.67 (define @t194 () (=> @t193 @t191)) % 169.03/169.67 (define @t195 () (forall @t62 @t194)) % 169.03/169.67 (define @t196 () (=> tptp.setext @t195)) % 169.03/169.67 (define @t197 () (=> tptp.exuE3e @t196)) % 169.03/169.67 (define @t198 () (=> tptp.notinemptyset @t197)) % 169.03/169.67 (define @t199 () (=> tptp.emptysetimpfalse @t198)) % 169.03/169.67 (define @t200 () (=> tptp.emptysetE @t199)) % 169.03/169.67 (define @t201 () (=> tptp.prop2setE @t200)) % 169.03/169.67 (define @t202 () (=> tptp.exuE1 @t201)) % 169.03/169.67 (define @t203 () (=> tptp.dsetconstrER @t202)) % 169.03/169.67 (define @t204 () (=> tptp.dsetconstrEL @t203)) % 169.03/169.67 (define @t205 () (=> tptp.dsetconstrI @t204)) % 169.03/169.67 (define @t206 () (=> tptp.descrp @t205)) % 169.03/169.67 (define @t207 () (=> tptp.wellorderingAx @t206)) % 169.03/169.67 (define @t208 () (=> tptp.foundationAx @t207)) % 169.03/169.67 (define @t209 () (=> tptp.replAx @t208)) % 169.03/169.67 (define @t210 () (=> tptp.omegaIndAx @t209)) % 169.03/169.67 (define @t211 () (=> tptp.omegaSAx @t210)) % 169.03/169.67 (define @t212 () (=> tptp.omega0Ax @t211)) % 169.03/169.67 (define @t213 () (=> tptp.setunionAx @t212)) % 169.03/169.67 (define @t214 () (=> tptp.powersetAx @t213)) % 169.03/169.67 (define @t215 () (=> tptp.setadjoinAx @t214)) % 169.03/169.67 (define @t216 () (=> tptp.emptysetAx @t215)) % 169.03/169.67 (define @t217 () (=> tptp.setextAx @t216)) % 169.03/169.67 (define @t218 () (not @t217)) % 169.03/169.67 (define @t219 () (lambda @t148 @t166)) % 169.03/169.67 (define @t220 () (lambda @t9 @t170)) % 169.03/169.67 (define @t221 () (_ tptp.powerset tptp.emptyset)) % 169.03/169.67 (define @t222 () (_ tptp.dsetconstr @t221)) % 169.03/169.67 (define @t223 () (_ @t222 @t220)) % 169.03/169.67 (define @t224 () (lambda @t175 @t223)) % 169.03/169.67 (define @t225 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 169.03/169.67 (define @t226 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 169.03/169.67 (define @t227 () (_ @t226 @t225 @t4)) % 169.03/169.67 (define @t228 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 169.03/169.67 (define @t229 () (_ @t228 @t227 @t2)) % 169.03/169.67 (define @t230 () (not @t229)) % 169.03/169.67 (define @t231 () (forall @t62 (or (not (forall @t9 @t230)) @t191))) % 169.03/169.67 (define @t232 () (_ @t228 @t227 @t1)) % 169.03/169.67 (define @t233 () (not @t232)) % 169.03/169.67 (define @t234 () (forall @t9 (or @t233 @t229))) % 169.03/169.67 (define @t235 () (@var "BOUND_VARIABLE_8305" $$unsorted)) % 169.03/169.67 (define @t236 () (= @t19 @t235)) % 169.03/169.67 (define @t237 () (@var "BOUND_VARIABLE_8663" (@ho-elim-sort (-> $$unsorted Bool)))) % 169.03/169.67 (define @t238 () (not (_ @t228 @t237 @t19))) % 169.03/169.67 (define @t239 () (_ @t228 @t237 @t4)) % 169.03/169.67 (define @t240 () (not @t239)) % 169.03/169.67 (define @t241 () (_ @t228 @t227 tptp.emptyset)) % 169.03/169.67 (define @t242 () (forall @t9 (not @t241))) % 169.03/169.67 (define @t243 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 169.03/169.67 (define @t244 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 169.03/169.67 (define @t245 () (@const 6 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))) % 169.03/169.67 (define @t246 () (@const 7 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))))) % 169.03/169.67 (define @t247 () (@const 8 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) % 169.03/169.67 (define @t248 () (_ @t228 @t227 (_ @t247 (_ @t246 @t245 @t2) @t237))) % 169.03/169.67 (define @t249 () (not @t248)) % 169.03/169.67 (define @t250 () (@list @t2 @t237 @t4)) % 169.03/169.67 (define @t251 () (@var "BOUND_VARIABLE_8176" $$unsorted)) % 169.03/169.67 (define @t252 () (= @t19 @t251)) % 169.03/169.67 (define @t253 () (=> (forall (@list @t237 @t251) (or (_ @t228 @t237 (_ @t247 (@const 9 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) @t237)) (not (_ @t228 @t237 @t251)) (not (forall @t68 (or @t238 @t252))))) (=> (forall @t250 (or @t230 @t240 @t248)) (=> (forall @t250 (or @t249 @t229)) (=> (forall @t250 (or @t249 @t239)) (=> (forall @t9 (not (_ @t228 @t227 (_ @t247 (_ @t246 @t245 (_ @t244 @t243 tptp.emptyset)) (@const 3 (@ho-elim-sort (-> $$unsorted Bool))))))) (=> @t242 (=> @t242 (=> @t242 (=> (forall (@list @t237 @t235) (or (not (forall @t9 @t240)) (not (_ @t228 @t237 @t235)) (not (forall @t68 (or @t238 @t236))))) (=> (forall @t12 (or (not (forall @t9 (or @t230 @t232))) (not @t234) @t3)) @t231))))))))))) % 169.03/169.67 (define @t254 () (@var "BOUND_VARIABLE_8096" $$unsorted)) % 169.03/169.67 (define @t255 () (_ @t226 @t225 @t254)) % 169.03/169.67 (define @t256 () (@list @t91 @t254)) % 169.03/169.67 (define @t257 () (_ @t226 @t225 @t19)) % 169.03/169.67 (define @t258 () (_ @t228 @t257 @t102)) % 169.03/169.67 (define @t259 () (_ @t228 @t227 @t102)) % 169.03/169.67 (define @t260 () (not @t259)) % 169.03/169.67 (define @t261 () (not (_ @t228 (_ @t226 @t225 @t93) @t1))) % 169.03/169.67 (define @t262 () (@var "BOUND_VARIABLE_8125" $$unsorted)) % 169.03/169.67 (define @t263 () (@list @t102 @t262)) % 169.03/169.67 (define @t264 () (not (forall @t263 (or (not (forall @t9 (or @t260 @t229))) (not (_ @t228 (_ @t226 @t225 @t262) @t102)) (not (forall @t110 (or @t261 @t260 (not (forall @t68 (or (not (_ @t228 @t257 @t93)) (not @t258)))) (not (forall @t256 (or (not (_ @t228 (_ @t226 @t225 @t91) @t1)) (_ @t228 @t227 @t91) (not (_ @t228 @t255 @t91)) (_ @t228 @t255 @t93))))))))))) % 169.03/169.67 (define @t265 () (@var "BOUND_VARIABLE_8048" $$unsorted)) % 169.03/169.67 (define @t266 () (_ @t226 @t225 @t265)) % 169.03/169.67 (define @t267 () (@var "BOUND_VARIABLE_8042" $$unsorted)) % 169.03/169.67 (define @t268 () (_ @t226 @t225 @t267)) % 169.03/169.67 (define @t269 () (not (_ @t228 (_ @t226 @t225 @t102) @t1))) % 169.03/169.67 (define @t270 () (@list @t102 @t93 @t267 @t265)) % 169.03/169.67 (define @t271 () (not (forall @t270 (or @t269 @t261 (not (_ @t228 @t268 @t102)) (_ @t228 @t268 @t93) (not (_ @t228 @t266 @t93)) (_ @t228 @t266 @t102))))) % 169.03/169.67 (define @t272 () (or @t269 (= @t259 @t258))) % 169.03/169.67 (define @t273 () (forall @t116 @t272)) % 169.03/169.67 (define @t274 () (not @t273)) % 169.03/169.67 (define @t275 () (_ @t228 @t257 @t2)) % 169.03/169.67 (define @t276 () (not @t275)) % 169.03/169.67 (define @t277 () (or @t230 @t276 @t274 @t127)) % 169.03/169.67 (define @t278 () (forall @t133 @t277)) % 169.03/169.67 (define @t279 () (not @t278)) % 169.03/169.67 (define @t280 () (@var "BOUND_VARIABLE_7991" $$unsorted)) % 169.03/169.67 (define @t281 () (_ @t226 @t225 @t280)) % 169.03/169.67 (define @t282 () (@list @t102 @t280)) % 169.03/169.67 (define @t283 () (not (forall @t282 (or @t269 (not (_ @t228 @t281 @t102)) (_ @t228 @t281 @t2))))) % 169.03/169.67 (define @t284 () (or @t283 @t279 @t271 @t264)) % 169.03/169.67 (define @t285 () (forall @t39 @t284)) % 169.03/169.67 (define @t286 () (not @t285)) % 169.03/169.67 (define @t287 () (forall @t62 @t286)) % 169.03/169.67 (define @t288 () (=> @t287 @t253)) % 169.03/169.67 (define @t289 () (_ @t226 @t225 @t1)) % 169.03/169.67 (define @t290 () (not (_ @t228 @t289 @t2))) % 169.03/169.67 (define @t291 () (@var "BOUND_VARIABLE_7966" $$unsorted)) % 169.03/169.67 (define @t292 () (@list @t2 @t291)) % 169.03/169.67 (define @t293 () (forall @t292 (or (not (_ @t228 (_ @t226 @t225 @t291) @t2)) (not (forall @t39 (or @t290 (not (forall @t9 (or @t233 @t230))))))))) % 169.03/169.67 (define @t294 () (=> @t293 @t288)) % 169.03/169.67 (define @t295 () (@var "BOUND_VARIABLE_8842" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 169.03/169.67 (define @t296 () (@var "BOUND_VARIABLE_7856" $$unsorted)) % 169.03/169.67 (define @t297 () (= @t19 @t296)) % 169.03/169.67 (define @t298 () (_ @t226 @t295 @t4)) % 169.03/169.67 (define @t299 () (@list @t296)) % 169.03/169.67 (define @t300 () (forall (@list @t295 @t2) (or (not (forall @t9 (or @t230 (not (forall @t299 (or (not (_ @t228 @t298 @t296)) (not (forall @t68 (or (not (_ @t228 @t298 @t19)) @t297))))))))) (not (forall @t39 (not (forall @t9 (= @t232 (not (forall @t68 (or @t276 (not (_ @t228 (_ @t226 @t295 @t19) @t4))))))))))))) % 169.03/169.67 (define @t301 () (=> @t300 @t294)) % 169.03/169.67 (define @t302 () (@var "BOUND_VARIABLE_7837" $$unsorted)) % 169.03/169.67 (define @t303 () (_ @t226 @t225 @t302)) % 169.03/169.67 (define @t304 () (_ (@const 11 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted)))) (@const 10 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted))) @t4)) % 169.03/169.67 (define @t305 () (_ @t226 @t225 (_ @t244 @t304 @t4))) % 169.03/169.67 (define @t306 () (not (_ @t228 @t227 tptp.omega))) % 169.03/169.67 (define @t307 () (_ @t226 @t225 tptp.emptyset)) % 169.03/169.67 (define @t308 () (@list @t2 @t302)) % 169.03/169.67 (define @t309 () (forall @t308 (or (not (_ @t228 @t307 @t2)) (not (forall @t9 (or @t306 @t230 (_ @t228 @t305 @t2)))) (not (_ @t228 @t303 tptp.omega)) (_ @t228 @t303 @t2)))) % 169.03/169.67 (define @t310 () (=> @t309 @t301)) % 169.03/169.67 (define @t311 () (forall @t9 (or @t306 (_ @t228 @t305 tptp.omega)))) % 169.03/169.67 (define @t312 () (=> @t311 @t310)) % 169.03/169.67 (define @t313 () (_ @t228 @t307 tptp.omega)) % 169.03/169.67 (define @t314 () (=> @t313 @t312)) % 169.03/169.67 (define @t315 () (not (forall @t39 (or @t233 @t290)))) % 169.03/169.67 (define @t316 () (_ @t228 @t227 (_ @t244 (@const 12 (@ho-elim-sort (-> $$unsorted $$unsorted))) @t2))) % 169.03/169.67 (define @t317 () (forall @t44 (= @t315 @t316))) % 169.03/169.67 (define @t318 () (=> @t317 @t314)) % 169.03/169.67 (define @t319 () (forall @t12 (= @t234 (_ @t228 @t289 (_ @t244 @t243 @t2))))) % 169.03/169.67 (define @t320 () (=> @t319 @t318)) % 169.03/169.67 (define @t321 () (_ @t228 @t257 (_ @t244 @t304 @t2))) % 169.03/169.67 (define @t322 () (or @t127 @t275)) % 169.03/169.67 (define @t323 () (forall @t27 (= @t321 @t322))) % 169.03/169.67 (define @t324 () (=> @t323 @t320)) % 169.03/169.67 (define @t325 () (=> @t242 @t324)) % 169.03/169.67 (define @t326 () (forall @t12 (or (not (forall @t9 (= @t229 @t232))) @t3))) % 169.03/169.67 (define @t327 () (=> @t326 @t325)) % 169.03/169.67 (define @t328 () (not @t327)) % 169.03/169.67 (define @t329 () (tptp.in @t4 @t2)) % 169.03/169.67 (define @t330 () (not @t329)) % 169.03/169.67 (define @t331 () (forall @t9 @t330)) % 169.03/169.67 (define @t332 () (not @t331)) % 169.03/169.67 (define @t333 () (forall @t62 (or @t332 @t191))) % 169.03/169.67 (define @t334 () (tptp.in @t4 @t1)) % 169.03/169.67 (define @t335 () (not @t334)) % 169.03/169.67 (define @t336 () (forall @t9 (or @t335 @t329))) % 169.03/169.67 (define @t337 () (not @t336)) % 169.03/169.67 (define @t338 () (forall @t9 (or @t330 @t334))) % 169.03/169.67 (define @t339 () (not @t338)) % 169.03/169.67 (define @t340 () (or @t339 @t337 @t3)) % 169.03/169.67 (define @t341 () (_ @t141 @t19)) % 169.03/169.67 (define @t342 () (not @t341)) % 169.03/169.67 (define @t343 () (not (_ @t141 @t235))) % 169.03/169.67 (define @t344 () (_ @t141 @t4)) % 169.03/169.67 (define @t345 () (not @t344)) % 169.03/169.67 (define @t346 () (not (forall @t9 @t345))) % 169.03/169.67 (define @t347 () (@list @t141 @t235)) % 169.03/169.67 (define @t348 () (tptp.in @t4 tptp.emptyset)) % 169.03/169.67 (define @t349 () (forall @t9 (not @t348))) % 169.03/169.67 (define @t350 () (=> @t349 (=> @t349 (=> @t349 (=> (forall @t347 (or @t346 @t343 (not (forall @t68 (or @t342 @t236))))) (=> (forall @t12 @t340) @t333)))))) % 169.03/169.67 (define @t351 () (tptp.powerset tptp.emptyset)) % 169.03/169.67 (define @t352 () (tptp.in @t4 (tptp.dsetconstr @t2 @t141))) % 169.03/169.67 (define @t353 () (not @t352)) % 169.03/169.67 (define @t354 () (forall @t157 (or @t353 @t344))) % 169.03/169.67 (define @t355 () (forall @t157 (or @t353 @t329))) % 169.03/169.67 (define @t356 () (forall @t157 (or @t330 @t345 @t352))) % 169.03/169.67 (define @t357 () (not (_ @t141 @t251))) % 169.03/169.67 (define @t358 () (_ @t141 (tptp.descr @t141))) % 169.03/169.67 (define @t359 () (@list @t141 @t251)) % 169.03/169.67 (define @t360 () (forall @t359 (or @t358 @t357 (not (forall @t68 (or @t342 @t252)))))) % 169.03/169.67 (define @t361 () (tptp.in @t254 @t93)) % 169.03/169.67 (define @t362 () (not (tptp.in @t254 @t91))) % 169.03/169.67 (define @t363 () (tptp.in @t4 @t91)) % 169.03/169.67 (define @t364 () (tptp.in @t91 @t1)) % 169.03/169.67 (define @t365 () (not @t364)) % 169.03/169.67 (define @t366 () (or @t365 @t363 @t362 @t361)) % 169.03/169.67 (define @t367 () (forall @t256 @t366)) % 169.03/169.67 (define @t368 () (not @t367)) % 169.03/169.67 (define @t369 () (tptp.in @t19 @t102)) % 169.03/169.67 (define @t370 () (tptp.in @t19 @t93)) % 169.03/169.67 (define @t371 () (forall @t68 (or (not @t370) (not @t369)))) % 169.03/169.67 (define @t372 () (not @t371)) % 169.03/169.67 (define @t373 () (tptp.in @t4 @t102)) % 169.03/169.67 (define @t374 () (not @t373)) % 169.03/169.67 (define @t375 () (tptp.in @t93 @t1)) % 169.03/169.67 (define @t376 () (not @t375)) % 169.03/169.67 (define @t377 () (not (forall @t110 (or @t376 @t374 @t372 @t368)))) % 169.03/169.67 (define @t378 () (not (tptp.in @t262 @t102))) % 169.03/169.67 (define @t379 () (forall @t9 (or @t374 @t329))) % 169.03/169.67 (define @t380 () (not @t379)) % 169.03/169.67 (define @t381 () (or @t380 @t378 @t377)) % 169.03/169.67 (define @t382 () (forall @t263 @t381)) % 169.03/169.67 (define @t383 () (not @t382)) % 169.03/169.67 (define @t384 () (tptp.in @t265 @t102)) % 169.03/169.67 (define @t385 () (not (tptp.in @t265 @t93))) % 169.03/169.67 (define @t386 () (tptp.in @t267 @t93)) % 169.03/169.67 (define @t387 () (not (tptp.in @t267 @t102))) % 169.03/169.67 (define @t388 () (tptp.in @t102 @t1)) % 169.03/169.67 (define @t389 () (not @t388)) % 169.03/169.67 (define @t390 () (or @t389 @t376 @t387 @t386 @t385 @t384)) % 169.03/169.67 (define @t391 () (forall @t270 @t390)) % 169.03/169.67 (define @t392 () (not @t391)) % 169.03/169.67 (define @t393 () (forall @t116 (or @t389 (= @t373 @t369)))) % 169.03/169.67 (define @t394 () (not @t393)) % 169.03/169.67 (define @t395 () (tptp.in @t19 @t2)) % 169.03/169.67 (define @t396 () (not @t395)) % 169.03/169.67 (define @t397 () (forall @t133 (or @t330 @t396 @t394 @t127))) % 169.03/169.67 (define @t398 () (not @t397)) % 169.03/169.67 (define @t399 () (tptp.in @t280 @t2)) % 169.03/169.67 (define @t400 () (not (tptp.in @t280 @t102))) % 169.03/169.67 (define @t401 () (or @t389 @t400 @t399)) % 169.03/169.67 (define @t402 () (forall @t282 @t401)) % 169.03/169.67 (define @t403 () (not @t402)) % 169.03/169.67 (define @t404 () (or @t403 @t398 @t392 @t383)) % 169.03/169.67 (define @t405 () (forall @t62 (not (forall @t39 @t404)))) % 169.03/169.67 (define @t406 () (forall @t9 (or @t335 @t330))) % 169.03/169.67 (define @t407 () (not @t406)) % 169.03/169.67 (define @t408 () (tptp.in @t1 @t2)) % 169.03/169.67 (define @t409 () (not @t408)) % 169.03/169.67 (define @t410 () (not (forall @t39 (or @t409 @t407)))) % 169.03/169.67 (define @t411 () (not (tptp.in @t291 @t2))) % 169.03/169.67 (define @t412 () (or @t411 @t410)) % 169.03/169.67 (define @t413 () (forall @t292 @t412)) % 169.03/169.67 (define @t414 () (_ @t65 @t19 @t4)) % 169.03/169.67 (define @t415 () (not (forall @t68 (or @t396 (not @t414))))) % 169.03/169.67 (define @t416 () (forall @t9 (= @t334 @t415))) % 169.03/169.67 (define @t417 () (not (forall @t39 (not @t416)))) % 169.03/169.67 (define @t418 () (_ @t65 @t4 @t19)) % 169.03/169.67 (define @t419 () (not (forall @t68 (or (not @t418) @t297)))) % 169.03/169.67 (define @t420 () (_ @t65 @t4 @t296)) % 169.03/169.67 (define @t421 () (not (forall @t299 (or (not @t420) @t419)))) % 169.03/169.67 (define @t422 () (forall @t9 (or @t330 @t421))) % 169.03/169.67 (define @t423 () (forall @t79 (or (not @t422) @t417))) % 169.03/169.67 (define @t424 () (tptp.in @t302 @t2)) % 169.03/169.67 (define @t425 () (not (tptp.in @t302 tptp.omega))) % 169.03/169.67 (define @t426 () (tptp.setadjoin @t4 @t4)) % 169.03/169.67 (define @t427 () (tptp.in @t426 @t2)) % 169.03/169.67 (define @t428 () (tptp.in @t4 tptp.omega)) % 169.03/169.67 (define @t429 () (not @t428)) % 169.03/169.67 (define @t430 () (forall @t9 (or @t429 @t330 @t427))) % 169.03/169.67 (define @t431 () (not @t430)) % 169.03/169.67 (define @t432 () (tptp.in tptp.emptyset @t2)) % 169.03/169.67 (define @t433 () (not @t432)) % 169.03/169.67 (define @t434 () (or @t433 @t431 @t425 @t424)) % 169.03/169.67 (define @t435 () (forall @t308 @t434)) % 169.03/169.67 (define @t436 () (tptp.in @t426 tptp.omega)) % 169.03/169.67 (define @t437 () (forall @t9 (or @t429 @t436))) % 169.03/169.67 (define @t438 () (tptp.setunion @t2)) % 169.03/169.67 (define @t439 () (tptp.in @t4 @t438)) % 169.03/169.67 (define @t440 () (not (forall @t39 (or @t335 @t409)))) % 169.03/169.67 (define @t441 () (forall @t44 (= @t440 @t439))) % 169.03/169.67 (define @t442 () (tptp.powerset @t2)) % 169.03/169.67 (define @t443 () (tptp.in @t1 @t442)) % 169.03/169.67 (define @t444 () (forall @t12 (= @t336 @t443))) % 169.03/169.67 (define @t445 () (tptp.setadjoin @t4 @t2)) % 169.03/169.67 (define @t446 () (tptp.in @t19 @t445)) % 169.03/169.67 (define @t447 () (forall @t27 (= @t446 (or @t127 @t395)))) % 169.03/169.67 (define @t448 () (forall @t9 (= @t329 @t334))) % 169.03/169.67 (define @t449 () (forall @t12 (or (not @t448) @t3))) % 169.03/169.67 (define @t450 () (not (=> @t449 (=> @t349 (=> @t447 (=> @t444 (=> @t441 (=> @t48 (=> @t437 (=> @t435 (=> @t423 (=> @t413 (=> @t405 (=> @t360 (=> @t356 (=> @t355 (=> @t354 (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t351 (@const 13 (-> $$unsorted Bool)))))) @t350)))))))))))))))))) % 169.03/169.67 (define @t451 () (@var "BOUND_VARIABLE_8600" $$unsorted)) % 169.03/169.67 (define @t452 () (lambda (@list @t451) false)) % 169.03/169.67 (define @t453 () (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t351 @t452)))) @t350)) % 169.03/169.67 (define @t454 () (=> @t354 (=> true @t453))) % 169.03/169.67 (define @t455 () (=> @t355 @t454)) % 169.03/169.67 (define @t456 () (=> @t356 @t455)) % 169.03/169.67 (define @t457 () (=> @t360 @t456)) % 169.03/169.67 (define @t458 () (=> @t405 @t457)) % 169.03/169.67 (define @t459 () (=> @t413 @t458)) % 169.03/169.67 (define @t460 () (=> @t423 @t459)) % 169.03/169.67 (define @t461 () (=> @t435 @t460)) % 169.03/169.67 (define @t462 () (=> @t437 @t461)) % 169.03/169.67 (define @t463 () (=> @t48 @t462)) % 169.03/169.67 (define @t464 () (=> @t441 @t463)) % 169.03/169.67 (define @t465 () (=> @t444 @t464)) % 169.03/169.67 (define @t466 () (=> @t447 @t465)) % 169.03/169.67 (define @t467 () (=> @t349 @t466)) % 169.03/169.67 (define @t468 () (=> @t449 @t467)) % 169.03/169.67 (define @t469 () (=> @t336 @t3)) % 169.03/169.67 (define @t470 () (not @t6)) % 169.03/169.67 (define @t471 () (or @t470 @t7)) % 169.03/169.67 (define @t472 () (or @t192 @t6)) % 169.03/169.67 (define @t473 () (=> tptp.setext @t333)) % 169.03/169.67 (define @t474 () (or @t342 (= @t235 @t19))) % 169.03/169.67 (define @t475 () (forall @t68 @t474)) % 169.03/169.67 (define @t476 () (not @t475)) % 169.03/169.67 (define @t477 () (or @t346 @t343 @t476)) % 169.03/169.67 (define @t478 () (or @t343 @t476)) % 169.03/169.67 (define @t479 () (or @t478 @t346)) % 169.03/169.67 (define @t480 () (forall @t347 @t479)) % 169.03/169.67 (define @t481 () (@list @t235)) % 169.03/169.67 (define @t482 () (forall @t481 @t479)) % 169.03/169.67 (define @t483 () (forall @t481 @t478)) % 169.03/169.67 (define @t484 () (@list @t4)) % 169.03/169.67 (define @t485 () (or @t483 @t346)) % 169.03/169.67 (define @t486 () (forall @t68 (or @t342 @t127))) % 169.03/169.67 (define @t487 () (not @t486)) % 169.03/169.67 (define @t488 () (forall @t9 (or @t345 @t487))) % 169.03/169.67 (define @t489 () (not @t488)) % 169.03/169.67 (define @t490 () (not @t489)) % 169.03/169.67 (define @t491 () (not @t142)) % 169.03/169.67 (define @t492 () (forall @t9 @t491)) % 169.03/169.67 (define @t493 () (not @t492)) % 169.03/169.67 (define @t494 () (or @t491 @t487)) % 169.03/169.67 (define @t495 () (not @t151)) % 169.03/169.67 (define @t496 () (or @t495 @t127)) % 169.03/169.67 (define @t497 () (_ @t143 @t19)) % 169.03/169.67 (define @t498 () (not @t497)) % 169.03/169.67 (define @t499 () (or @t498 @t127)) % 169.03/169.67 (define @t500 () (forall @t68 @t499)) % 169.03/169.67 (define @t501 () (not @t500)) % 169.03/169.67 (define @t502 () (_ @t143 @t4)) % 169.03/169.67 (define @t503 () (not @t502)) % 169.03/169.67 (define @t504 () (or @t503 @t501)) % 169.03/169.67 (define @t505 () (forall @t9 @t504)) % 169.03/169.67 (define @t506 () (not @t505)) % 169.03/169.67 (define @t507 () (lambda @t148 @t489)) % 169.03/169.67 (define @t508 () (_ @t507 @t143)) % 169.03/169.67 (define @t509 () (=> @t508 @t182)) % 169.03/169.67 (define @t510 () (forall @t148 @t509)) % 169.03/169.67 (define @t511 () (and @t142 @t486)) % 169.03/169.67 (define @t512 () (forall @t9 (not @t511))) % 169.03/169.67 (define @t513 () (not @t512)) % 169.03/169.67 (define @t514 () (=> tptp.exuE3e @t473)) % 169.03/169.67 (define @t515 () (=> tptp.notinemptyset @t514)) % 169.03/169.67 (define @t516 () (=> tptp.emptysetimpfalse @t515)) % 169.03/169.67 (define @t517 () (not (= @t170 false))) % 169.03/169.67 (define @t518 () (or @t170 @t170)) % 169.03/169.67 (define @t519 () (=> tptp.emptysetE @t516)) % 169.03/169.67 (define @t520 () (@var "BOUND_VARIABLE_8250" $$unsorted)) % 169.03/169.67 (define @t521 () (@list @t520)) % 169.03/169.67 (define @t522 () (lambda @t521 false)) % 169.03/169.67 (define @t523 () (@list @t520)) % 169.03/169.67 (define @t524 () (tptp.dsetconstr @t351 @t522)) % 169.03/169.67 (define @t525 () (tptp.in @t4 @t524)) % 169.03/169.67 (define @t526 () (not @t525)) % 169.03/169.67 (define @t527 () (or @t526 false)) % 169.03/169.67 (define @t528 () (lambda @t521 @t170)) % 169.03/169.67 (define @t529 () (tptp.dsetconstr @t351 @t528)) % 169.03/169.67 (define @t530 () (tptp.in @t4 @t529)) % 169.03/169.67 (define @t531 () (not @t530)) % 169.03/169.67 (define @t532 () (or @t170 @t531 @t170)) % 169.03/169.67 (define @t533 () (or @t531 @t170)) % 169.03/169.67 (define @t534 () (forall @t175 @t533)) % 169.03/169.67 (define @t535 () (forall @t9 @t534)) % 169.03/169.67 (define @t536 () (forall (@list @t4 @t170) @t533)) % 169.03/169.67 (define @t537 () (_ @t222 @t528)) % 169.03/169.67 (define @t538 () (_ @t5 @t537)) % 169.03/169.67 (define @t539 () (not @t538)) % 169.03/169.67 (define @t540 () (or @t539 @t170)) % 169.03/169.67 (define @t541 () (=> (_ @t5 @t223) @t170)) % 169.03/169.67 (define @t542 () (_ @t224 @t170)) % 169.03/169.67 (define @t543 () (=> (_ @t5 @t542) @t170)) % 169.03/169.67 (define @t544 () (forall @t172 @t543)) % 169.03/169.67 (define @t545 () (=> tptp.prop2setE @t519)) % 169.03/169.67 (define @t546 () (=> @t508 @t166)) % 169.03/169.67 (define @t547 () (forall @t148 @t546)) % 169.03/169.67 (define @t548 () (=> tptp.exuE1 @t545)) % 169.03/169.67 (define @t549 () (lambda @t68 @t341)) % 169.03/169.67 (define @t550 () (tptp.dsetconstr @t2 @t549)) % 169.03/169.67 (define @t551 () (tptp.in @t4 @t550)) % 169.03/169.67 (define @t552 () (not @t551)) % 169.03/169.67 (define @t553 () (or @t552 @t344)) % 169.03/169.67 (define @t554 () (not @t155)) % 169.03/169.67 (define @t555 () (or @t554 @t142)) % 169.03/169.67 (define @t556 () (=> tptp.dsetconstrER @t548)) % 169.03/169.67 (define @t557 () (or @t552 @t329)) % 169.03/169.67 (define @t558 () (or @t554 @t7)) % 169.03/169.67 (define @t559 () (=> tptp.dsetconstrEL @t556)) % 169.03/169.67 (define @t560 () (or @t330 @t345 @t551)) % 169.03/169.67 (define @t561 () (or @t192 @t491 @t155)) % 169.03/169.67 (define @t562 () (=> tptp.dsetconstrI @t559)) % 169.03/169.67 (define @t563 () (or @t342 (= @t251 @t19))) % 169.03/169.67 (define @t564 () (forall @t68 @t563)) % 169.03/169.67 (define @t565 () (not @t564)) % 169.03/169.67 (define @t566 () (or @t358 @t357 @t565)) % 169.03/169.67 (define @t567 () (or @t357 @t565)) % 169.03/169.67 (define @t568 () (or @t567 @t358)) % 169.03/169.67 (define @t569 () (forall @t359 @t568)) % 169.03/169.67 (define @t570 () (@list @t251)) % 169.03/169.67 (define @t571 () (forall @t570 @t568)) % 169.03/169.67 (define @t572 () (forall @t570 @t567)) % 169.03/169.67 (define @t573 () (or @t572 @t358)) % 169.03/169.67 (define @t574 () (lambda @t9 @t344)) % 169.03/169.67 (define @t575 () (tptp.descr @t574)) % 169.03/169.67 (define @t576 () (_ @t141 @t575)) % 169.03/169.67 (define @t577 () (or @t488 @t576)) % 169.03/169.67 (define @t578 () (or @t488 @t145)) % 169.03/169.67 (define @t579 () (=> @t508 @t145)) % 169.03/169.67 (define @t580 () (forall @t148 @t579)) % 169.03/169.67 (define @t581 () (=> tptp.descrp @t562)) % 169.03/169.67 (define @t582 () (and @t402 @t397 @t391 @t382)) % 169.03/169.67 (define @t583 () (forall @t39 (not @t582))) % 169.03/169.67 (define @t584 () (not @t583)) % 169.03/169.67 (define @t585 () (@list @t262)) % 169.03/169.67 (define @t586 () (forall @t585 @t381)) % 169.03/169.67 (define @t587 () (forall @t585 @t378)) % 169.03/169.67 (define @t588 () (or @t380 @t587 @t377)) % 169.03/169.67 (define @t589 () (forall @t9 @t374)) % 169.03/169.67 (define @t590 () (or @t380 @t589 @t377)) % 169.03/169.67 (define @t591 () (not @t589)) % 169.03/169.67 (define @t592 () (and @t379 @t591)) % 169.03/169.67 (define @t593 () (not @t107)) % 169.03/169.67 (define @t594 () (not @t108)) % 169.03/169.67 (define @t595 () (or @t594 @t593 @t372 @t368)) % 169.03/169.67 (define @t596 () (and @t108 @t107 @t371 @t367)) % 169.03/169.67 (define @t597 () (forall @t110 (not @t596))) % 169.03/169.67 (define @t598 () (not @t597)) % 169.03/169.67 (define @t599 () (or @t362 @t361)) % 169.03/169.67 (define @t600 () (or @t365 @t599 @t363)) % 169.03/169.67 (define @t601 () (forall @t256 @t600)) % 169.03/169.67 (define @t602 () (@list @t254)) % 169.03/169.67 (define @t603 () (forall @t602 @t600)) % 169.03/169.67 (define @t604 () (forall @t602 @t599)) % 169.03/169.67 (define @t605 () (or @t365 @t604 @t363)) % 169.03/169.67 (define @t606 () (tptp.in @t19 @t91)) % 169.03/169.67 (define @t607 () (forall @t68 (or (not @t606) @t370))) % 169.03/169.67 (define @t608 () (not @t98)) % 169.03/169.67 (define @t609 () (or @t608 @t607 @t92)) % 169.03/169.67 (define @t610 () (or @t607 @t92)) % 169.03/169.67 (define @t611 () (not @t95)) % 169.03/169.67 (define @t612 () (or @t611 @t94)) % 169.03/169.67 (define @t613 () (not @t103)) % 169.03/169.67 (define @t614 () (not @t94)) % 169.03/169.67 (define @t615 () (or @t614 @t613)) % 169.03/169.67 (define @t616 () (forall @t68 (not @t104))) % 169.03/169.67 (define @t617 () (not @t616)) % 169.03/169.67 (define @t618 () (forall @t9 @t593)) % 169.03/169.67 (define @t619 () (not @t618)) % 169.03/169.67 (define @t620 () (or @t593 @t7)) % 169.03/169.67 (define @t621 () (or @t385 @t384)) % 169.03/169.67 (define @t622 () (or @t387 @t386)) % 169.03/169.67 (define @t623 () (or @t389 @t376 @t622 @t621)) % 169.03/169.67 (define @t624 () (forall @t270 @t623)) % 169.03/169.67 (define @t625 () (forall (@list @t267 @t265) @t623)) % 169.03/169.67 (define @t626 () (forall (@list @t265) @t621)) % 169.03/169.67 (define @t627 () (forall (@list @t267) @t622)) % 169.03/169.67 (define @t628 () (or @t389 @t376 @t627 @t626)) % 169.03/169.67 (define @t629 () (tptp.in @t4 @t93)) % 169.03/169.67 (define @t630 () (forall @t9 (or (not @t629) @t373))) % 169.03/169.67 (define @t631 () (forall @t9 (or @t374 @t629))) % 169.03/169.67 (define @t632 () (not @t122)) % 169.03/169.67 (define @t633 () (or @t632 @t594 @t631 @t630)) % 169.03/169.67 (define @t634 () (or @t631 @t630)) % 169.03/169.67 (define @t635 () (not @t118)) % 169.03/169.67 (define @t636 () (or @t635 @t107)) % 169.03/169.67 (define @t637 () (or @t593 @t118)) % 169.03/169.67 (define @t638 () (not @t21)) % 169.03/169.67 (define @t639 () (or @t192 @t638 @t394 @t127)) % 169.03/169.67 (define @t640 () (=> @t393 @t127)) % 169.03/169.67 (define @t641 () (or @t632 @t128)) % 169.03/169.67 (define @t642 () (or @t400 @t399)) % 169.03/169.67 (define @t643 () (or @t389 @t642)) % 169.03/169.67 (define @t644 () (forall @t282 @t643)) % 169.03/169.67 (define @t645 () (@list @t280)) % 169.03/169.67 (define @t646 () (forall @t645 @t643)) % 169.03/169.67 (define @t647 () (forall @t645 @t642)) % 169.03/169.67 (define @t648 () (or @t389 @t647)) % 169.03/169.67 (define @t649 () (or @t632 @t379)) % 169.03/169.67 (define @t650 () (=> tptp.wellorderingAx @t581)) % 169.03/169.67 (define @t651 () (@list @t291)) % 169.03/169.67 (define @t652 () (forall @t651 @t412)) % 169.03/169.67 (define @t653 () (forall @t651 @t411)) % 169.03/169.67 (define @t654 () (or @t653 @t410)) % 169.03/169.67 (define @t655 () (not @t37)) % 169.03/169.67 (define @t656 () (or @t655 @t407)) % 169.03/169.67 (define @t657 () (and @t37 @t406)) % 169.03/169.67 (define @t658 () (forall @t39 (not @t657))) % 169.03/169.67 (define @t659 () (not @t658)) % 169.03/169.67 (define @t660 () (or @t470 @t192)) % 169.03/169.67 (define @t661 () (forall @t9 (not @t82))) % 169.03/169.67 (define @t662 () (not @t661)) % 169.03/169.67 (define @t663 () (not @t193)) % 169.03/169.67 (define @t664 () (=> tptp.foundationAx @t650)) % 169.03/169.67 (define @t665 () (= @t6 @t415)) % 169.03/169.67 (define @t666 () (not @t66)) % 169.03/169.67 (define @t667 () (or @t638 @t666)) % 169.03/169.67 (define @t668 () (forall @t68 (not @t67))) % 169.03/169.67 (define @t669 () (not @t668)) % 169.03/169.67 (define @t670 () (or @t192 @t421)) % 169.03/169.67 (define @t671 () (_ @t73 @t296)) % 169.03/169.67 (define @t672 () (not @t671)) % 169.03/169.67 (define @t673 () (or @t672 @t419)) % 169.03/169.67 (define @t674 () (not @t74)) % 169.03/169.67 (define @t675 () (or @t674 @t297)) % 169.03/169.67 (define @t676 () (_ @t75 @t19)) % 169.03/169.67 (define @t677 () (not @t676)) % 169.03/169.67 (define @t678 () (or @t677 @t297)) % 169.03/169.67 (define @t679 () (forall @t68 @t678)) % 169.03/169.67 (define @t680 () (not @t679)) % 169.03/169.67 (define @t681 () (_ @t75 @t296)) % 169.03/169.67 (define @t682 () (not @t681)) % 169.03/169.67 (define @t683 () (or @t682 @t680)) % 169.03/169.67 (define @t684 () (forall @t299 @t683)) % 169.03/169.67 (define @t685 () (not @t684)) % 169.03/169.67 (define @t686 () (not (_ @t141 @t296))) % 169.03/169.67 (define @t687 () (or @t342 (= @t296 @t19))) % 169.03/169.67 (define @t688 () (forall @t68 @t687)) % 169.03/169.67 (define @t689 () (not @t688)) % 169.03/169.67 (define @t690 () (or @t686 @t689)) % 169.03/169.67 (define @t691 () (forall @t299 @t690)) % 169.03/169.67 (define @t692 () (not @t691)) % 169.03/169.67 (define @t693 () (=> @t7 (_ @t507 @t75))) % 169.03/169.67 (define @t694 () (forall @t9 @t693)) % 169.03/169.67 (define @t695 () (=> @t694 @t72)) % 169.03/169.67 (define @t696 () (forall @t79 @t695)) % 169.03/169.67 (define @t697 () (=> tptp.replAx @t664)) % 169.03/169.67 (define @t698 () (or @t425 @t424)) % 169.03/169.67 (define @t699 () (or @t433 @t431 @t698)) % 169.03/169.67 (define @t700 () (forall @t308 @t699)) % 169.03/169.67 (define @t701 () (@list @t302)) % 169.03/169.67 (define @t702 () (forall @t701 @t699)) % 169.03/169.67 (define @t703 () (forall @t701 @t698)) % 169.03/169.67 (define @t704 () (or @t433 @t431 @t703)) % 169.03/169.67 (define @t705 () (forall @t9 (or @t429 @t329))) % 169.03/169.67 (define @t706 () (not @t59)) % 169.03/169.67 (define @t707 () (or @t706 @t431 @t705)) % 169.03/169.67 (define @t708 () (and @t59 @t430)) % 169.03/169.67 (define @t709 () (not @t52)) % 169.03/169.67 (define @t710 () (or @t709 @t7)) % 169.03/169.67 (define @t711 () (_ tptp.in @t426)) % 169.03/169.67 (define @t712 () (or @t709 @t192 @t56)) % 169.03/169.67 (define @t713 () (=> tptp.omegaIndAx @t697)) % 169.03/169.67 (define @t714 () (or @t709 @t51)) % 169.03/169.67 (define @t715 () (=> tptp.omegaSAx @t713)) % 169.03/169.67 (define @t716 () (=> tptp.omega0Ax @t715)) % 169.03/169.67 (define @t717 () (= @t42 @t440)) % 169.03/169.67 (define @t718 () (or @t470 @t655)) % 169.03/169.67 (define @t719 () (forall @t39 (not @t38))) % 169.03/169.67 (define @t720 () (not @t719)) % 169.03/169.67 (define @t721 () (=> tptp.setunionAx @t716)) % 169.03/169.67 (define @t722 () (= @t33 @t336)) % 169.03/169.67 (define @t723 () (=> tptp.powersetAx @t721)) % 169.03/169.67 (define @t724 () (or @t127 @t21)) % 169.03/169.67 (define @t725 () (= @t25 @t724)) % 169.03/169.67 (define @t726 () (=> tptp.setadjoinAx @t723)) % 169.03/169.67 (define @t727 () (=> tptp.emptysetAx @t726)) % 169.03/169.67 (define @t728 () (=> tptp.setextAx @t727)) % 169.03/169.67 (define @t729 () (@quantifiers_skolemize @t231 0)) % 169.03/169.67 (define @t730 () (= tptp.emptyset @t729)) % 169.03/169.67 (define @t731 () (_ @t228 @t227 @t729)) % 169.03/169.67 (define @t732 () (forall @t9 (not @t731))) % 169.03/169.67 (define @t733 () (not @t732)) % 169.03/169.67 (define @t734 () (or @t733 @t730)) % 169.03/169.67 (define @t735 () (not @t734)) % 169.03/169.67 (define @t736 () (not @t231)) % 169.03/169.67 (define @t737 () (or @t733 (= @t729 tptp.emptyset))) % 169.03/169.67 (define @t738 () (not @t737)) % 169.03/169.67 (define @t739 () (@list true)) % 169.03/169.67 (define @t740 () (@list @t734)) % 169.03/169.67 (define @t741 () (forall @t9 (= @t241 @t731))) % 169.03/169.67 (define @t742 () (not @t741)) % 169.03/169.67 (define @t743 () (or @t742 @t730)) % 169.03/169.67 (define @t744 () (@quantifiers_skolemize @t741 0)) % 169.03/169.67 (define @t745 () (@list @t744)) % 169.03/169.67 (define @t746 () (_ @t226 @t225 @t744)) % 169.03/169.67 (define @t747 () (_ @t228 @t746 @t729)) % 169.03/169.67 (define @t748 () (_ @t228 @t746 tptp.emptyset)) % 169.03/169.67 (define @t749 () (= @t748 @t747)) % 169.03/169.67 (assume @p1 @t14) % 169.03/169.67 (assume @p2 @t18) % 169.03/169.67 (assume @p3 @t29) % 169.03/169.67 (assume @p4 @t36) % 169.03/169.67 (assume @p5 @t46) % 169.03/169.67 (assume @p6 (= tptp.omega0Ax @t48)) % 169.03/169.67 (assume @p7 @t54) % 169.03/169.67 (assume @p8 @t64) % 169.03/169.67 (assume @p9 @t81) % 169.03/169.67 (assume @p10 @t90) % 169.03/169.67 (assume @p11 @t140) % 169.03/169.67 (assume @p12 @t150) % 169.03/169.67 (assume @p13 @t159) % 169.03/169.67 (assume @p14 @t161) % 169.03/169.67 (assume @p15 @t163) % 169.03/169.67 (assume @p16 @t169) % 169.03/169.67 (assume @p17 @t174) % 169.03/169.67 (assume @p18 @t179) % 169.03/169.67 (assume @p19 @t181) % 169.03/169.67 (assume @p20 (= tptp.notinemptyset @t17)) % 169.03/169.67 (assume @p21 @t185) % 169.03/169.67 (assume @p22 @t190) % 169.03/169.67 (assume @p23 @t218) % 169.03/169.67 (assume @p24 true) % 169.03/169.67 (step @p25 (= tptp.exu @t219) :rule refl :args (@t219)) % 169.03/169.67 (step @p26 (= tptp.prop2set @t224) :rule refl :args (@t224)) % 169.03/169.67 (step @p27 :rule refl :args (@t253)) % 169.03/169.67 (step @p28 :rule refl :args (@t264)) % 169.03/169.67 (step @p29 :rule refl :args (@t271)) % 169.03/169.67 (step @p30 :rule refl :args (@t127)) % 169.03/169.67 (step @p31 :rule eq-symm :args (@t259 @t258)) % 169.03/169.67 (step @p32 :rule refl :args (@t269)) % 169.03/169.67 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t272)) % 169.03/169.67 (step @p34 :rule cong :premises (@p33) :args (@t273)) % 169.03/169.67 (step @p35 :rule cong :premises (@p34) :args (@t274)) % 169.03/169.67 (step @p36 :rule refl :args (@t276)) % 169.03/169.67 (step @p37 :rule refl :args (@t230)) % 169.03/169.67 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35 @p30) :args (@t277)) % 169.03/169.67 (step @p39 :rule cong :premises (@p38) :args (@t278)) % 169.03/169.67 (step @p40 :rule cong :premises (@p39) :args (@t279)) % 169.03/169.67 (step @p41 :rule refl :args (@t283)) % 169.03/169.67 (step @p42 :rule nary_cong :premises (@p41 @p40 @p29 @p28) :args (@t284)) % 169.03/169.67 (step @p43 :rule cong :premises (@p42) :args (@t285)) % 169.03/169.67 (step @p44 :rule cong :premises (@p43) :args (@t286)) % 169.03/169.67 (step @p45 :rule cong :premises (@p44) :args (@t287)) % 169.03/169.67 (step @p46 :rule cong :premises (@p45 @p27) :args (@t288)) % 169.03/169.67 (step @p47 :rule refl :args (@t293)) % 169.03/169.67 (step @p48 :rule cong :premises (@p47 @p46) :args (@t294)) % 169.03/169.67 (step @p49 :rule refl :args (@t300)) % 169.03/169.67 (step @p50 :rule cong :premises (@p49 @p48) :args (@t301)) % 169.03/169.67 (step @p51 :rule refl :args (@t309)) % 169.03/169.67 (step @p52 :rule cong :premises (@p51 @p50) :args (@t310)) % 169.03/169.67 (step @p53 :rule refl :args (@t311)) % 169.03/169.67 (step @p54 :rule cong :premises (@p53 @p52) :args (@t312)) % 169.03/169.67 (step @p55 :rule refl :args (@t313)) % 169.03/169.67 (step @p56 :rule cong :premises (@p55 @p54) :args (@t314)) % 169.03/169.67 (step @p57 :rule eq-symm :args (@t315 @t316)) % 169.03/169.67 (step @p58 :rule cong :premises (@p57) :args (@t317)) % 169.03/169.67 (step @p59 :rule cong :premises (@p58 @p56) :args (@t318)) % 169.03/169.67 (step @p60 :rule refl :args (@t319)) % 169.03/169.67 (step @p61 :rule cong :premises (@p60 @p59) :args (@t320)) % 169.03/169.67 (step @p62 :rule eq-symm :args (@t321 @t322)) % 169.03/169.67 (step @p63 :rule cong :premises (@p62) :args (@t323)) % 169.03/169.67 (step @p64 :rule cong :premises (@p63 @p61) :args (@t324)) % 169.03/169.67 (step @p65 :rule refl :args (@t242)) % 169.03/169.67 (step @p66 :rule cong :premises (@p65 @p64) :args (@t325)) % 169.03/169.67 (step @p67 :rule refl :args (@t326)) % 169.03/169.67 (step @p68 :rule cong :premises (@p67 @p66) :args (@t327)) % 169.03/169.67 (step @p69 :rule cong :premises (@p68) :args (@t328)) % 169.03/169.67 ; WARNING: add trust step for TRUST % 169.03/169.67 ; trust TRUST PREPROCESS_HO_ELIM % 169.03/169.67 (step @p70 :rule trust :premises () :args ((= @t450 @t328))) % 169.03/169.67 ; trust TRUST PREPROCESS_HO_ELIM % 169.03/169.67 (step @p71 :rule trust :premises () :args ((= (not (=> @t449 (=> @t349 (=> @t447 (=> @t444 (=> @t441 (=> @t48 (=> @t437 (=> @t435 (=> @t423 (=> @t413 (=> @t405 (=> @t360 (=> @t356 (=> @t355 (=> @t354 @t453)))))))))))))))) @t450))) % 169.03/169.67 (step @p72 :rule bool-impl-true2 :args (@t453)) % 169.03/169.67 (step @p73 :rule refl :args (@t354)) % 169.03/169.67 (step @p74 :rule cong :premises (@p73 @p72) :args (@t454)) % 169.03/169.67 (step @p75 :rule refl :args (@t355)) % 169.03/169.67 (step @p76 :rule cong :premises (@p75 @p74) :args (@t455)) % 169.03/169.67 (step @p77 :rule refl :args (@t356)) % 169.03/169.67 (step @p78 :rule cong :premises (@p77 @p76) :args (@t456)) % 169.03/169.67 (step @p79 :rule refl :args (@t360)) % 169.03/169.67 (step @p80 :rule cong :premises (@p79 @p78) :args (@t457)) % 169.03/169.67 (step @p81 :rule refl :args (@t405)) % 169.03/169.67 (step @p82 :rule cong :premises (@p81 @p80) :args (@t458)) % 169.03/169.67 (step @p83 :rule refl :args (@t413)) % 169.03/169.67 (step @p84 :rule cong :premises (@p83 @p82) :args (@t459)) % 169.03/169.67 (step @p85 :rule refl :args (@t423)) % 169.03/169.67 (step @p86 :rule cong :premises (@p85 @p84) :args (@t460)) % 169.03/169.67 (step @p87 :rule refl :args (@t435)) % 169.03/169.67 (step @p88 :rule cong :premises (@p87 @p86) :args (@t461)) % 169.03/169.67 (step @p89 :rule refl :args (@t437)) % 169.03/169.67 (step @p90 :rule cong :premises (@p89 @p88) :args (@t462)) % 169.03/169.67 (step @p91 :rule refl :args (@t48)) % 169.03/169.67 (step @p92 :rule cong :premises (@p91 @p90) :args (@t463)) % 169.03/169.67 (step @p93 :rule refl :args (@t441)) % 169.03/169.67 (step @p94 :rule cong :premises (@p93 @p92) :args (@t464)) % 169.03/169.67 (step @p95 :rule refl :args (@t444)) % 169.03/169.67 (step @p96 :rule cong :premises (@p95 @p94) :args (@t465)) % 169.03/169.67 (step @p97 :rule refl :args (@t447)) % 169.03/169.67 (step @p98 :rule cong :premises (@p97 @p96) :args (@t466)) % 169.03/169.67 (step @p99 :rule refl :args (@t349)) % 169.03/169.67 (step @p100 :rule cong :premises (@p99 @p98) :args (@t467)) % 169.03/169.67 (step @p101 :rule refl :args (@t449)) % 169.03/169.67 (step @p102 :rule cong :premises (@p101 @p100) :args (@t468)) % 169.03/169.67 (step @p103 :rule cong :premises (@p102) :args ((not @t468))) % 169.03/169.67 (step @p104 :rule refl :args (@t333)) % 169.03/169.67 (step @p105 :rule aci_norm :args ((= (or @t339 (or @t337 @t3)) @t340))) % 169.03/169.67 (step @p106 :rule bool-impl-elim :args (@t336 @t3)) % 169.03/169.67 (step @p107 :rule refl :args (@t339)) % 169.03/169.67 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t339 @t469))) % 169.03/169.67 (step @p109 :rule trans :premises (@p108 @p105)) % 169.03/169.67 (step @p110 :rule bool-impl-elim :args (@t338 @t469)) % 169.03/169.67 (step @p111 :rule trans :premises (@p110 @p109)) % 169.03/169.67 (step @p112 :rule cong :premises (@p111) :args ((forall @t12 (=> @t338 @t469)))) % 169.03/169.67 (step @p113 :rule refl :args (@t3)) % 169.03/169.67 (step @p114 :rule refl :args (@t329)) % 169.03/169.67 (step @p115 :rule refl :args (@t7)) % 169.03/169.67 (step @p116 :rule cong :premises (@p115 @p114) :args ((= @t7 @t329))) % 169.03/169.67 (step @p117 :rule symm :premises (@p116)) % 169.03/169.67 (step @p118 :rule eq_resolve :premises (@p115 @p117)) % 169.03/169.67 (step @p119 :rule refl :args (@t334)) % 169.03/169.67 (step @p120 :rule refl :args (@t6)) % 169.03/169.67 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t6 @t334))) % 169.03/169.67 (step @p122 :rule symm :premises (@p121)) % 169.03/169.67 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 169.03/169.67 (step @p124 :rule cong :premises (@p123) :args (@t470)) % 169.03/169.67 (step @p125 :rule nary_cong :premises (@p124 @p118) :args (@t471)) % 169.03/169.67 (step @p126 :rule cong :premises (@p125) :args ((forall @t9 @t471))) % 169.03/169.67 (step @p127 :rule bool-impl-elim :args (@t6 @t7)) % 169.03/169.67 (step @p128 :rule cong :premises (@p127) :args (@t30)) % 169.03/169.67 (step @p129 :rule trans :premises (@p128 @p126)) % 169.03/169.67 (step @p130 :rule cong :premises (@p129 @p113) :args (@t186)) % 169.03/169.67 (step @p131 :rule cong :premises (@p118) :args (@t192)) % 169.03/169.67 (step @p132 :rule nary_cong :premises (@p131 @p123) :args (@t472)) % 169.03/169.67 (step @p133 :rule cong :premises (@p132) :args ((forall @t9 @t472))) % 169.03/169.67 (step @p134 :rule bool-impl-elim :args (@t7 @t6)) % 169.03/169.67 (step @p135 :rule cong :premises (@p134) :args (@t187)) % 169.03/169.67 (step @p136 :rule trans :premises (@p135 @p133)) % 169.03/169.67 (step @p137 :rule cong :premises (@p136 @p130) :args (@t188)) % 169.03/169.67 (step @p138 :rule cong :premises (@p137) :args (@t189)) % 169.03/169.67 (step @p139 :rule trans :premises (@p138 @p112)) % 169.03/169.67 (step @p140 :rule refl :args (tptp.setext)) % 169.03/169.67 (step @p141 :rule cong :premises (@p140 @p139) :args (@t190)) % 169.03/169.67 (step @p142 :rule eq_resolve :premises (@p22 @p141)) % 169.03/169.67 (step @p143 :rule cong :premises (@p142 @p104) :args (@t473)) % 169.03/169.67 (step @p144 :rule eq-symm :args (@t235 @t19)) % 169.03/169.67 (step @p145 :rule refl :args (@t342)) % 169.03/169.67 (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t474)) % 169.03/169.67 (step @p147 :rule cong :premises (@p146) :args (@t475)) % 169.03/169.67 (step @p148 :rule cong :premises (@p147) :args (@t476)) % 169.03/169.67 (step @p149 :rule refl :args (@t343)) % 169.03/169.67 (step @p150 :rule refl :args (@t346)) % 169.03/169.67 (step @p151 :rule nary_cong :premises (@p150 @p149 @p148) :args (@t477)) % 169.03/169.67 (step @p152 :rule aci_norm :args ((= @t479 @t477))) % 169.03/169.67 (step @p153 :rule trans :premises (@p152 @p151)) % 169.03/169.67 (step @p154 :rule cong :premises (@p153) :args (@t480)) % 169.03/169.67 (step @p155 :rule quant-merge-prenex :args ((= (forall @t148 @t482) @t480))) % 169.03/169.67 (step @p156 :rule refl :args (@t346)) % 169.03/169.67 (step @p157 :rule alpha_equiv :args (@t483 (@list @t235) @t484)) % 169.03/169.67 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t485)) % 169.03/169.67 (step @p159 :rule quant-miniscope-or :args ((= @t482 @t485))) % 169.03/169.67 (step @p160 :rule trans :premises (@p159 @p158)) % 169.03/169.67 (step @p161 :rule symm :premises (@p160)) % 169.03/169.67 (step @p162 :rule cong :premises (@p161) :args ((forall @t148 (or @t488 @t346)))) % 169.03/169.67 (step @p163 :rule trans :premises (@p162 @p155)) % 169.03/169.67 (step @p164 :rule trans :premises (@p163 @p154)) % 169.03/169.67 (step @p165 :rule bool-double-not-elim :args (@t488)) % 169.03/169.67 (step @p166 :rule nary_cong :premises (@p165 @p156) :args ((or @t490 @t346))) % 169.03/169.67 (step @p167 :rule bool-impl-elim :args (@t489 @t346)) % 169.03/169.67 (step @p168 :rule trans :premises (@p167 @p166)) % 169.03/169.67 (step @p169 :rule cong :premises (@p168) :args ((forall @t148 (=> @t489 @t346)))) % 169.03/169.67 (step @p170 :rule trans :premises (@p169 @p164)) % 169.03/169.67 (step @p171 :rule refl :args (@t344)) % 169.03/169.67 (step @p172 :rule refl :args (@t142)) % 169.03/169.67 (step @p173 :rule cong :premises (@p172 @p171) :args ((= @t142 @t344))) % 169.03/169.67 (step @p174 :rule symm :premises (@p173)) % 169.03/169.67 (step @p175 :rule eq_resolve :premises (@p172 @p174)) % 169.03/169.67 (step @p176 :rule cong :premises (@p175) :args (@t491)) % 169.03/169.67 (step @p177 :rule cong :premises (@p176) :args (@t492)) % 169.03/169.67 (step @p178 :rule cong :premises (@p177) :args (@t493)) % 169.03/169.67 (step @p179 :rule exists-elim :args ((= @t182 @t493))) % 169.03/169.67 (step @p180 :rule trans :premises (@p179 @p178)) % 169.03/169.67 (step @p181 :rule refl :args (@t487)) % 169.03/169.67 (step @p182 :rule nary_cong :premises (@p176 @p181) :args (@t494)) % 169.03/169.67 (step @p183 :rule cong :premises (@p182) :args ((forall @t9 @t494))) % 169.03/169.67 (step @p184 :rule refl :args (@t127)) % 169.03/169.67 (step @p185 :rule refl :args (@t341)) % 169.03/169.67 (step @p186 :rule refl :args (@t151)) % 169.03/169.67 (step @p187 :rule cong :premises (@p186 @p185) :args ((= @t151 @t341))) % 169.03/169.67 (step @p188 :rule symm :premises (@p187)) % 169.03/169.67 (step @p189 :rule eq_resolve :premises (@p186 @p188)) % 169.03/169.67 (step @p190 :rule cong :premises (@p189) :args (@t495)) % 169.03/169.67 (step @p191 :rule nary_cong :premises (@p190 @p184) :args (@t496)) % 169.03/169.67 (step @p192 :rule cong :premises (@p191) :args ((forall @t68 @t496))) % 169.03/169.67 (step @p193 :rule beta-reduce :args ((= @t497 @t151))) % 169.03/169.67 (step @p194 :rule cong :premises (@p193) :args (@t498)) % 169.03/169.67 (step @p195 :rule nary_cong :premises (@p194 @p30) :args (@t499)) % 169.03/169.67 (step @p196 :rule cong :premises (@p195) :args (@t500)) % 169.03/169.67 (step @p197 :rule trans :premises (@p196 @p192)) % 169.03/169.67 (step @p198 :rule cong :premises (@p197) :args (@t501)) % 169.03/169.67 (step @p199 :rule beta-reduce :args ((= @t502 @t142))) % 169.03/169.67 (step @p200 :rule cong :premises (@p199) :args (@t503)) % 169.03/169.67 (step @p201 :rule nary_cong :premises (@p200 @p198) :args (@t504)) % 169.03/169.67 (step @p202 :rule cong :premises (@p201) :args (@t505)) % 169.03/169.67 (step @p203 :rule trans :premises (@p202 @p183)) % 169.03/169.67 (step @p204 :rule cong :premises (@p203) :args (@t506)) % 169.03/169.67 (step @p205 :rule beta-reduce :args ((= @t508 @t506))) % 169.03/169.67 (step @p206 :rule trans :premises (@p205 @p204)) % 169.03/169.67 (step @p207 :rule cong :premises (@p206 @p180) :args (@t509)) % 169.03/169.67 (step @p208 :rule cong :premises (@p207) :args (@t510)) % 169.03/169.67 (step @p209 :rule trans :premises (@p208 @p170)) % 169.03/169.67 (step @p210 :rule refl :args (tptp.exuE3e)) % 169.03/169.67 (step @p211 :rule cong :premises (@p210 @p209) :args ((= tptp.exuE3e @t510))) % 169.03/169.67 (step @p212 :rule refl :args (@t182)) % 169.03/169.67 (step @p213 :rule refl :args (@t143)) % 169.03/169.67 (step @p214 :rule bool-and-de-morgan :args (@t142 @t486 true)) % 169.03/169.67 (step @p215 :rule cong :premises (@p214) :args (@t512)) % 169.03/169.67 (step @p216 :rule trans :premises (@p215 @p183)) % 169.03/169.67 (step @p217 :rule cong :premises (@p216) :args (@t513)) % 169.03/169.67 (step @p218 :rule exists-elim :args ((= (exists @t9 @t511) @t513))) % 169.03/169.67 (step @p219 :rule trans :premises (@p218 @p217)) % 169.03/169.67 (step @p220 :rule bool-impl-elim :args (@t151 @t127)) % 169.03/169.67 (step @p221 :rule cong :premises (@p220) :args (@t164)) % 169.03/169.67 (step @p222 :rule trans :premises (@p221 @p192)) % 169.03/169.67 (step @p223 :rule refl :args (@t142)) % 169.03/169.67 (step @p224 :rule nary_cong :premises (@p223 @p222) :args (@t165)) % 169.03/169.67 (step @p225 :rule cong :premises (@p224) :args (@t166)) % 169.03/169.67 (step @p226 :rule trans :premises (@p225 @p219)) % 169.03/169.67 (step @p227 :rule cong :premises (@p226) :args (@t219)) % 169.03/169.67 (step @p228 :rule trans :premises (@p25 @p227)) % 169.03/169.67 (step @p229 :rule ho_cong :premises (@p228 @p213)) % 169.03/169.67 (step @p230 :rule cong :premises (@p229 @p212) :args (@t183)) % 169.03/169.67 (step @p231 :rule cong :premises (@p230) :args (@t184)) % 169.03/169.67 (step @p232 :rule cong :premises (@p210 @p231) :args (@t185)) % 169.03/169.67 (step @p233 :rule trans :premises (@p232 @p211)) % 169.03/169.67 (step @p234 :rule eq_resolve :premises (@p21 @p233)) % 169.03/169.67 (step @p235 :rule cong :premises (@p234 @p143) :args (@t514)) % 169.03/169.67 (step @p236 :rule eq-symm :args (@t349 tptp.notinemptyset)) % 169.03/169.67 (step @p237 :rule refl :args (tptp.notinemptyset)) % 169.03/169.67 (step @p238 :rule refl :args (@t348)) % 169.03/169.67 (step @p239 :rule refl :args (@t15)) % 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(@t200)) % 169.03/169.67 (step @p1198 :rule cong :premises (@p357 @p1197) :args (@t201)) % 169.03/169.67 (step @p1199 :rule cong :premises (@p381 @p1198) :args (@t202)) % 169.03/169.67 (step @p1200 :rule cong :premises (@p431 @p1199) :args (@t203)) % 169.03/169.67 (step @p1201 :rule cong :premises (@p444 @p1200) :args (@t204)) % 169.03/169.67 (step @p1202 :rule cong :premises (@p464 @p1201) :args (@t205)) % 169.03/169.67 (step @p1203 :rule cong :premises (@p532 @p1202) :args (@t206)) % 169.03/169.67 (step @p1204 :rule cong :premises (@p809 @p1203) :args (@t207)) % 169.03/169.67 (step @p1205 :rule cong :premises (@p865 @p1204) :args (@t208)) % 169.03/169.67 (step @p1206 :rule cong :premises (@p959 @p1205) :args (@t209)) % 169.03/169.67 (step @p1207 :rule cong :premises (@p1046 @p1206) :args (@t210)) % 169.03/169.67 (step @p1208 :rule cong :premises (@p1066 @p1207) :args (@t211)) % 169.03/169.67 (step @p1209 :rule refl :args (tptp.omega0Ax)) % 169.03/169.67 (step @p1210 :rule cong :premises (@p1209 @p1208) :args (@t212)) % 169.03/169.67 (step @p1211 :rule cong :premises (@p1104 @p1210) :args (@t213)) % 169.03/169.67 (step @p1212 :rule cong :premises (@p1135 @p1211) :args (@t214)) % 169.03/169.67 (step @p1213 :rule cong :premises (@p1166 @p1212) :args (@t215)) % 169.03/169.67 (step @p1214 :rule cong :premises (@p1170 @p1213) :args (@t216)) % 169.03/169.67 (step @p1215 :rule cong :premises (@p1181 @p1214) :args (@t217)) % 169.03/169.67 (step @p1216 :rule cong :premises (@p1215) :args (@t218)) % 169.03/169.67 (step @p1217 :rule trans :premises (@p1216 @p1186 @p71 @p70 @p69)) % 169.03/169.67 (step @p1218 :rule eq_resolve :premises (@p23 @p1217)) % 169.03/169.67 (step @p1219 :rule not_implies_elim2 :premises (@p1218)) % 169.03/169.67 (step @p1220 :rule not_implies_elim2 :premises (@p1219)) % 169.03/169.67 (step @p1221 :rule not_implies_elim2 :premises (@p1220)) % 169.03/169.67 (step @p1222 :rule not_implies_elim2 :premises (@p1221)) % 169.03/169.67 (step @p1223 :rule not_implies_elim2 :premises (@p1222)) % 169.03/169.67 (step @p1224 :rule not_implies_elim2 :premises (@p1223)) % 169.03/169.67 (step @p1225 :rule not_implies_elim2 :premises (@p1224)) % 169.03/169.67 (step @p1226 :rule not_implies_elim2 :premises (@p1225)) % 169.03/169.67 (step @p1227 :rule not_implies_elim2 :premises (@p1226)) % 169.03/169.67 (step @p1228 :rule not_implies_elim2 :premises (@p1227)) % 169.03/169.67 (step @p1229 :rule not_implies_elim2 :premises (@p1228)) % 169.03/169.67 (step @p1230 :rule not_implies_elim2 :premises (@p1229)) % 169.03/169.67 (step @p1231 :rule not_implies_elim2 :premises (@p1230)) % 169.03/169.67 (step @p1232 :rule not_implies_elim2 :premises (@p1231)) % 169.03/169.67 (step @p1233 :rule not_implies_elim2 :premises (@p1232)) % 169.03/169.67 (step @p1234 :rule not_implies_elim2 :premises (@p1233)) % 169.03/169.67 (step @p1235 :rule not_implies_elim2 :premises (@p1234)) % 169.03/169.67 (step @p1236 :rule not_implies_elim2 :premises (@p1235)) % 169.03/169.67 (step @p1237 :rule not_implies_elim2 :premises (@p1236)) % 169.03/169.67 (step @p1238 :rule not_implies_elim2 :premises (@p1237)) % 169.03/169.67 (step @p1239 :rule not_implies_elim2 :premises (@p1238)) % 169.03/169.67 (step @p1240 :rule refl :args (@t735)) % 169.03/169.67 (step @p1241 :rule bool-double-not-elim :args (@t231)) % 169.03/169.67 (step @p1242 :rule nary_cong :premises (@p1241 @p1240) :args ((or (not @t736) @t735))) % 169.03/169.67 (step @p1243 :rule eq-symm :args (@t729 tptp.emptyset)) % 169.03/169.67 (step @p1244 :rule refl :args (@t733)) % 169.03/169.67 (step @p1245 :rule nary_cong :premises (@p1244 @p1243) :args (@t737)) % 169.03/169.67 (step @p1246 :rule cong :premises (@p1245) :args (@t738)) % 169.03/169.67 (step @p1247 :rule refl :args (@t736)) % 169.03/169.67 (step @p1248 :rule cong :premises (@p1247 @p1246) :args ((=> @t736 @t738))) % 169.03/169.67 (assume-push @p1283 @t736) % 169.03/169.67 (step @p1250 :rule skolemize :premises (@p1239)) % 169.03/169.67 (step-pop @p1284 :rule scope :premises (@p1250)) % 169.03/169.67 (step @p1251 :rule process_scope :premises (@p1284) :args (@t738)) % 169.03/169.67 (step @p1253 :rule eq_resolve :premises (@p1251 @p1248)) % 169.03/169.67 (step @p1254 :rule implies_elim :premises (@p1253)) % 169.03/169.67 (step @p1255 :rule eq_resolve :premises (@p1254 @p1242)) % 169.03/169.67 (step @p1256 :rule chain_m_resolution :premises (@p1255 @p1239) :args (@t735 @t739 (@list @t231))) % 169.03/169.67 (step @p1257 :rule bool-double-not-elim :args (@t732)) % 169.03/169.67 (step @p1258 :rule refl :args (@t734)) % 169.03/169.67 (step @p1259 :rule nary_cong :premises (@p1258 @p1257) :args ((or @t734 (not @t733)))) % 169.03/169.67 (step @p1260 :rule cnf_or_neg :args (@t734 0)) % 169.03/169.67 (step @p1261 :rule eq_resolve :premises (@p1260 @p1259)) % 169.03/169.67 (step @p1262 :rule reordering :premises (@p1261) :args ((or @t732 @t734))) % 169.03/169.67 (step @p1263 :rule chain_m_resolution :premises (@p1262 @p1256) :args (@t732 @t739 @t740)) % 169.03/169.67 (step @p1264 :rule not_implies_elim1 :premises (@p1218)) % 169.03/169.67 (step @p1265 :rule instantiate :premises (@p1264) :args ((@list tptp.emptyset @t729))) % 169.03/169.67 (step @p1266 :rule cnf_or_neg :args (@t734 1)) % 169.03/169.67 (step @p1267 :rule chain_m_resolution :premises (@p1266 @p1256) :args ((not @t730) @t739 @t740)) % 169.03/169.67 (step @p1268 :rule cnf_or_pos :args (@t743)) % 169.03/169.67 (step @p1269 :rule reordering :premises (@p1268) :args ((or @t730 @t742 (not @t743)))) % 169.03/169.67 (step @p1270 :rule chain_m_resolution :premises (@p1269 @p1267 @p1265) :args (@t742 (@list true false) (@list @t730 @t743))) % 169.03/169.67 (step @p1271 :rule skolemize :premises (@p1270)) % 169.03/169.67 (step @p1272 :rule not_implies_elim1 :premises (@p1219)) % 169.03/169.67 (step @p1273 :rule instantiate :premises (@p1272) :args (@t745)) % 169.03/169.67 (step @p1274 :rule cnf_equiv_neg1 :args (@t749)) % 169.03/169.67 (step @p1275 :rule reordering :premises (@p1274) :args ((or @t748 @t747 @t749))) % 169.03/169.67 (step @p1276 :rule chain_m_resolution :premises (@p1275 @p1273 @p1271) :args (@t747 (@list true true) (@list @t748 @t749))) % 169.03/169.67 (assume-push @p1285 @t732) % 169.03/169.67 (step @p1278 :rule instantiate :premises (@p1263) :args (@t745)) % 169.03/169.67 (step-pop @p1286 :rule scope :premises (@p1278)) % 169.03/169.67 (step @p1279 :rule process_scope :premises (@p1286) :args ((not @t747))) % 169.03/169.67 (step @p1281 :rule implies_elim :premises (@p1279)) % 169.03/169.67 (step @p1282 false :rule chain_m_resolution :premises (@p1281 @p1276 @p1263) :args (false (@list false false) (@list @t747 @t732))) % 169.03/169.67 ) % 169.03/169.67 % SZS output end Proof % 169.03/169.67 % cvc5 exiting %------------------------------------------------------------------------------