%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU505^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 169.03s 169.95s % Output : Proof 169.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU505^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.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 17:39:51 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 169.03/169.95 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 169.03/169.95 --- 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... % 169.03/169.95 --- 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... % 169.03/169.95 --- Run --ho-elim --full-saturate-quant at 18s... % 169.03/169.95 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 169.03/169.95 % SZS status Theorem % 169.03/169.95 % SZS output start Proof % 169.03/169.95 ( % 169.03/169.95 (declare-sort $$unsorted 0) % 169.03/169.95 (declare-const tptp.emptyset $$unsorted) % 169.03/169.95 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 169.03/169.95 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 169.03/169.95 (declare-const tptp.prop2setE Bool) % 169.03/169.95 (declare-const tptp.exuE3e Bool) % 169.03/169.95 (declare-const tptp.dsetconstrEL Bool) % 169.03/169.95 (declare-const tptp.dsetconstrI Bool) % 169.03/169.95 (declare-const tptp.descrp Bool) % 169.03/169.95 (declare-const tptp.exuE1 Bool) % 169.03/169.95 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 169.03/169.95 (declare-const tptp.emptysetimpfalse Bool) % 169.03/169.95 (declare-const tptp.wellorderingAx Bool) % 169.03/169.95 (declare-const tptp.replAx Bool) % 169.03/169.95 (declare-const tptp.powersetAx Bool) % 169.03/169.95 (declare-const tptp.omegaSAx Bool) % 169.03/169.95 (declare-const tptp.setextAx Bool) % 169.03/169.95 (declare-const tptp.foundationAx Bool) % 169.03/169.95 (declare-const tptp.emptysetAx Bool) % 169.03/169.95 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 169.03/169.95 (declare-const tptp.dsetconstrER Bool) % 169.03/169.95 (declare-const tptp.setadjoinAx Bool) % 169.03/169.95 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 169.03/169.95 (declare-const tptp.notinemptyset Bool) % 169.03/169.95 (declare-const tptp.omega0Ax Bool) % 169.03/169.95 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 169.03/169.95 (declare-const tptp.setunionAx Bool) % 169.03/169.95 (declare-const tptp.omega $$unsorted) % 169.03/169.95 (declare-const tptp.omegaIndAx Bool) % 169.03/169.95 (declare-const tptp.emptysetE Bool) % 169.03/169.95 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 169.03/169.95 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 169.03/169.95 (define @t1 () (@var "B" $$unsorted)) % 169.03/169.95 (define @t2 () (@var "A" $$unsorted)) % 169.03/169.95 (define @t3 () (= @t2 @t1)) % 169.03/169.95 (define @t4 () (@var "Xx" $$unsorted)) % 169.03/169.95 (define @t5 () (_ tptp.in @t4)) % 169.03/169.95 (define @t6 () (_ @t5 @t1)) % 169.03/169.95 (define @t7 () (_ @t5 @t2)) % 169.03/169.95 (define @t8 () (= @t7 @t6)) % 169.03/169.95 (define @t9 () (@list @t4)) % 169.03/169.95 (define @t10 () (forall @t9 @t8)) % 169.03/169.95 (define @t11 () (=> @t10 @t3)) % 169.03/169.95 (define @t12 () (@list @t2 @t1)) % 169.03/169.95 (define @t13 () (forall @t12 @t11)) % 169.03/169.95 (define @t14 () (= tptp.setextAx @t13)) % 169.03/169.95 (define @t15 () (_ @t5 tptp.emptyset)) % 169.03/169.95 (define @t16 () (not @t15)) % 169.03/169.95 (define @t17 () (forall @t9 @t16)) % 169.03/169.95 (define @t18 () (= tptp.emptysetAx @t17)) % 169.03/169.95 (define @t19 () (@var "Xy" $$unsorted)) % 169.03/169.95 (define @t20 () (_ tptp.in @t19)) % 169.03/169.95 (define @t21 () (_ @t20 @t2)) % 169.03/169.95 (define @t22 () (or (= @t19 @t4) @t21)) % 169.03/169.95 (define @t23 () (_ tptp.setadjoin @t4)) % 169.03/169.95 (define @t24 () (_ @t23 @t2)) % 169.03/169.95 (define @t25 () (_ @t20 @t24)) % 169.03/169.95 (define @t26 () (= @t25 @t22)) % 169.03/169.95 (define @t27 () (@list @t4 @t2 @t19)) % 169.03/169.95 (define @t28 () (forall @t27 @t26)) % 169.03/169.95 (define @t29 () (= tptp.setadjoinAx @t28)) % 169.03/169.95 (define @t30 () (forall @t9 (=> @t6 @t7))) % 169.03/169.95 (define @t31 () (_ tptp.powerset @t2)) % 169.03/169.95 (define @t32 () (_ tptp.in @t1)) % 169.03/169.95 (define @t33 () (_ @t32 @t31)) % 169.03/169.95 (define @t34 () (= @t33 @t30)) % 169.03/169.95 (define @t35 () (forall @t12 @t34)) % 169.03/169.95 (define @t36 () (= tptp.powersetAx @t35)) % 169.03/169.95 (define @t37 () (_ @t32 @t2)) % 169.03/169.95 (define @t38 () (and @t6 @t37)) % 169.03/169.95 (define @t39 () (@list @t1)) % 169.03/169.95 (define @t40 () (exists @t39 @t38)) % 169.03/169.95 (define @t41 () (_ tptp.setunion @t2)) % 169.03/169.95 (define @t42 () (_ @t5 @t41)) % 169.03/169.95 (define @t43 () (= @t42 @t40)) % 169.03/169.95 (define @t44 () (@list @t2 @t4)) % 169.03/169.95 (define @t45 () (forall @t44 @t43)) % 169.03/169.95 (define @t46 () (= tptp.setunionAx @t45)) % 169.03/169.95 (define @t47 () (_ tptp.in tptp.emptyset)) % 169.03/169.95 (define @t48 () (_ @t47 tptp.omega)) % 169.03/169.95 (define @t49 () (_ @t23 @t4)) % 169.03/169.95 (define @t50 () (_ tptp.in @t49)) % 169.03/169.95 (define @t51 () (_ @t50 tptp.omega)) % 169.03/169.95 (define @t52 () (_ @t5 tptp.omega)) % 169.03/169.95 (define @t53 () (forall @t9 (=> @t52 @t51))) % 169.03/169.95 (define @t54 () (= tptp.omegaSAx @t53)) % 169.03/169.95 (define @t55 () (forall @t9 (=> @t52 @t7))) % 169.03/169.95 (define @t56 () (_ @t50 @t2)) % 169.03/169.95 (define @t57 () (and @t52 @t7)) % 169.03/169.95 (define @t58 () (forall @t9 (=> @t57 @t56))) % 169.03/169.95 (define @t59 () (_ @t47 @t2)) % 169.03/169.95 (define @t60 () (and @t59 @t58)) % 169.03/169.95 (define @t61 () (=> @t60 @t55)) % 169.03/169.95 (define @t62 () (@list @t2)) % 169.03/169.95 (define @t63 () (forall @t62 @t61)) % 169.03/169.95 (define @t64 () (= tptp.omegaIndAx @t63)) % 169.03/169.95 (define @t65 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 169.03/169.95 (define @t66 () (_ (_ @t65 @t19) @t4)) % 169.03/169.95 (define @t67 () (and @t21 @t66)) % 169.03/169.95 (define @t68 () (@list @t19)) % 169.03/169.95 (define @t69 () (exists @t68 @t67)) % 169.03/169.95 (define @t70 () (= @t6 @t69)) % 169.03/169.95 (define @t71 () (forall @t9 @t70)) % 169.03/169.95 (define @t72 () (exists @t39 @t71)) % 169.03/169.95 (define @t73 () (_ @t65 @t4)) % 169.03/169.95 (define @t74 () (_ @t73 @t19)) % 169.03/169.95 (define @t75 () (lambda @t68 @t74)) % 169.03/169.95 (define @t76 () (=> @t7 (_ tptp.exu @t75))) % 169.03/169.95 (define @t77 () (forall @t9 @t76)) % 169.03/169.95 (define @t78 () (=> @t77 @t72)) % 169.03/169.95 (define @t79 () (@list @t65 @t2)) % 169.03/169.95 (define @t80 () (forall @t79 @t78)) % 169.03/169.95 (define @t81 () (= tptp.replAx @t80)) % 169.03/169.95 (define @t82 () (and @t6 @t7)) % 169.03/169.95 (define @t83 () (exists @t9 @t82)) % 169.03/169.95 (define @t84 () (not @t83)) % 169.03/169.95 (define @t85 () (and @t37 @t84)) % 169.03/169.95 (define @t86 () (exists @t39 @t85)) % 169.03/169.95 (define @t87 () (exists @t9 @t7)) % 169.03/169.95 (define @t88 () (=> @t87 @t86)) % 169.03/169.95 (define @t89 () (forall @t62 @t88)) % 169.03/169.95 (define @t90 () (= tptp.foundationAx @t89)) % 169.03/169.95 (define @t91 () (@var "E" $$unsorted)) % 169.03/169.95 (define @t92 () (_ @t5 @t91)) % 169.03/169.95 (define @t93 () (@var "D" $$unsorted)) % 169.03/169.95 (define @t94 () (_ @t20 @t93)) % 169.03/169.95 (define @t95 () (_ @t20 @t91)) % 169.03/169.95 (define @t96 () (forall @t68 (=> @t95 @t94))) % 169.03/169.95 (define @t97 () (or @t96 @t92)) % 169.03/169.95 (define @t98 () (_ (_ tptp.in @t91) @t1)) % 169.03/169.95 (define @t99 () (=> @t98 @t97)) % 169.03/169.95 (define @t100 () (@list @t91)) % 169.03/169.95 (define @t101 () (forall @t100 @t99)) % 169.03/169.95 (define @t102 () (@var "C" $$unsorted)) % 169.03/169.95 (define @t103 () (_ @t20 @t102)) % 169.03/169.95 (define @t104 () (and @t94 @t103)) % 169.03/169.95 (define @t105 () (exists @t68 @t104)) % 169.03/169.95 (define @t106 () (not @t105)) % 169.03/169.95 (define @t107 () (_ @t5 @t102)) % 169.03/169.95 (define @t108 () (_ (_ tptp.in @t93) @t1)) % 169.03/169.95 (define @t109 () (and @t108 @t107 @t106 @t101)) % 169.03/169.95 (define @t110 () (@list @t93 @t4)) % 169.03/169.95 (define @t111 () (exists @t110 @t109)) % 169.03/169.95 (define @t112 () (exists @t9 @t107)) % 169.03/169.95 (define @t113 () (forall @t9 (=> @t107 @t7))) % 169.03/169.95 (define @t114 () (and @t113 @t112)) % 169.03/169.95 (define @t115 () (=> @t114 @t111)) % 169.03/169.95 (define @t116 () (@list @t102)) % 169.03/169.95 (define @t117 () (forall @t116 @t115)) % 169.03/169.95 (define @t118 () (_ @t5 @t93)) % 169.03/169.95 (define @t119 () (forall @t9 (=> @t118 @t107))) % 169.03/169.95 (define @t120 () (forall @t9 (=> @t107 @t118))) % 169.03/169.95 (define @t121 () (or @t120 @t119)) % 169.03/169.95 (define @t122 () (_ (_ tptp.in @t102) @t1)) % 169.03/169.95 (define @t123 () (and @t122 @t108)) % 169.03/169.95 (define @t124 () (=> @t123 @t121)) % 169.03/169.95 (define @t125 () (@list @t102 @t93)) % 169.03/169.95 (define @t126 () (forall @t125 @t124)) % 169.03/169.95 (define @t127 () (= @t4 @t19)) % 169.03/169.95 (define @t128 () (= @t107 @t103)) % 169.03/169.95 (define @t129 () (forall @t116 (=> @t122 @t128))) % 169.03/169.95 (define @t130 () (=> @t129 @t127)) % 169.03/169.95 (define @t131 () (and @t7 @t21)) % 169.03/169.95 (define @t132 () (=> @t131 @t130)) % 169.03/169.95 (define @t133 () (@list @t4 @t19)) % 169.03/169.95 (define @t134 () (forall @t133 @t132)) % 169.03/169.95 (define @t135 () (=> @t122 @t113)) % 169.03/169.95 (define @t136 () (forall @t116 @t135)) % 169.03/169.95 (define @t137 () (and @t136 @t134 @t126 @t117)) % 169.03/169.95 (define @t138 () (exists @t39 @t137)) % 169.03/169.95 (define @t139 () (forall @t62 @t138)) % 169.03/169.95 (define @t140 () (= tptp.wellorderingAx @t139)) % 169.03/169.95 (define @t141 () (@var "Xphi" (-> $$unsorted Bool))) % 169.03/169.95 (define @t142 () (_ @t141 @t4)) % 169.03/169.95 (define @t143 () (lambda @t9 @t142)) % 169.03/169.95 (define @t144 () (_ tptp.descr @t143)) % 169.03/169.95 (define @t145 () (_ @t141 @t144)) % 169.03/169.95 (define @t146 () (_ tptp.exu @t143)) % 169.03/169.95 (define @t147 () (=> @t146 @t145)) % 169.03/169.95 (define @t148 () (@list @t141)) % 169.03/169.95 (define @t149 () (forall @t148 @t147)) % 169.03/169.95 (define @t150 () (= tptp.descrp @t149)) % 169.03/169.95 (define @t151 () (_ @t141 @t19)) % 169.03/169.95 (define @t152 () (lambda @t68 @t151)) % 169.03/169.95 (define @t153 () (_ tptp.dsetconstr @t2)) % 169.03/169.95 (define @t154 () (_ @t153 @t152)) % 169.03/169.95 (define @t155 () (_ @t5 @t154)) % 169.03/169.95 (define @t156 () (=> @t142 @t155)) % 169.03/169.95 (define @t157 () (@list @t2 @t141 @t4)) % 169.03/169.95 (define @t158 () (forall @t157 (=> @t7 @t156))) % 169.03/169.95 (define @t159 () (= tptp.dsetconstrI @t158)) % 169.03/169.95 (define @t160 () (forall @t157 (=> @t155 @t7))) % 169.03/169.95 (define @t161 () (= tptp.dsetconstrEL @t160)) % 169.03/169.95 (define @t162 () (forall @t157 (=> @t155 @t142))) % 169.03/169.95 (define @t163 () (= tptp.dsetconstrER @t162)) % 169.03/169.95 (define @t164 () (forall @t68 (=> @t151 @t127))) % 169.03/169.95 (define @t165 () (and @t142 @t164)) % 169.03/169.95 (define @t166 () (exists @t9 @t165)) % 169.03/169.95 (define @t167 () (=> @t146 @t166)) % 169.03/169.95 (define @t168 () (forall @t148 @t167)) % 169.03/169.95 (define @t169 () (= tptp.exuE1 @t168)) % 169.03/169.95 (define @t170 () (@var "Xphi" Bool)) % 169.03/169.95 (define @t171 () (=> (_ @t5 (_ tptp.prop2set @t170)) @t170)) % 169.03/169.95 (define @t172 () (@list @t170 @t4)) % 169.03/169.95 (define @t173 () (forall @t172 @t171)) % 169.03/169.95 (define @t174 () (= tptp.prop2setE @t173)) % 169.03/169.95 (define @t175 () (@list @t170)) % 169.03/169.95 (define @t176 () (forall @t175 @t170)) % 169.03/169.95 (define @t177 () (=> @t15 @t176)) % 169.03/169.95 (define @t178 () (forall @t9 @t177)) % 169.03/169.95 (define @t179 () (= tptp.emptysetE @t178)) % 169.03/169.95 (define @t180 () (forall @t9 (=> @t15 false))) % 169.03/169.95 (define @t181 () (= tptp.emptysetimpfalse @t180)) % 169.03/169.95 (define @t182 () (exists @t9 @t142)) % 169.03/169.95 (define @t183 () (=> @t146 @t182)) % 169.03/169.95 (define @t184 () (forall @t148 @t183)) % 169.03/169.95 (define @t185 () (= tptp.exuE3e @t184)) % 169.03/169.95 (define @t186 () (=> @t30 @t3)) % 169.03/169.95 (define @t187 () (forall @t9 (=> @t7 @t6))) % 169.03/169.95 (define @t188 () (=> @t187 @t186)) % 169.03/169.95 (define @t189 () (forall @t12 @t188)) % 169.03/169.95 (define @t190 () (=> tptp.exuE3e @t189)) % 169.03/169.95 (define @t191 () (=> tptp.notinemptyset @t190)) % 169.03/169.95 (define @t192 () (=> tptp.emptysetimpfalse @t191)) % 169.03/169.95 (define @t193 () (=> tptp.emptysetE @t192)) % 169.03/169.95 (define @t194 () (=> tptp.prop2setE @t193)) % 169.03/169.95 (define @t195 () (=> tptp.exuE1 @t194)) % 169.03/169.95 (define @t196 () (=> tptp.dsetconstrER @t195)) % 169.03/169.95 (define @t197 () (=> tptp.dsetconstrEL @t196)) % 169.03/169.95 (define @t198 () (=> tptp.dsetconstrI @t197)) % 169.03/169.95 (define @t199 () (=> tptp.descrp @t198)) % 169.03/169.95 (define @t200 () (=> tptp.wellorderingAx @t199)) % 169.03/169.95 (define @t201 () (=> tptp.foundationAx @t200)) % 169.03/169.95 (define @t202 () (=> tptp.replAx @t201)) % 169.03/169.95 (define @t203 () (=> tptp.omegaIndAx @t202)) % 169.03/169.95 (define @t204 () (=> tptp.omegaSAx @t203)) % 169.03/169.95 (define @t205 () (=> tptp.omega0Ax @t204)) % 169.03/169.95 (define @t206 () (=> tptp.setunionAx @t205)) % 169.03/169.95 (define @t207 () (=> tptp.powersetAx @t206)) % 169.03/169.95 (define @t208 () (=> tptp.setadjoinAx @t207)) % 169.03/169.95 (define @t209 () (=> tptp.emptysetAx @t208)) % 169.03/169.95 (define @t210 () (=> tptp.setextAx @t209)) % 169.03/169.95 (define @t211 () (not @t210)) % 169.03/169.95 (define @t212 () (lambda @t148 @t166)) % 169.03/169.95 (define @t213 () (lambda @t9 @t170)) % 169.03/169.95 (define @t214 () (_ tptp.powerset tptp.emptyset)) % 169.03/169.95 (define @t215 () (_ tptp.dsetconstr @t214)) % 169.03/169.95 (define @t216 () (_ @t215 @t213)) % 169.03/169.95 (define @t217 () (lambda @t175 @t216)) % 169.03/169.95 (define @t218 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 169.03/169.95 (define @t219 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 169.03/169.95 (define @t220 () (_ @t219 @t218 @t4)) % 169.03/169.95 (define @t221 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 169.03/169.95 (define @t222 () (_ @t221 @t220 @t2)) % 169.03/169.95 (define @t223 () (_ @t221 @t220 @t1)) % 169.03/169.95 (define @t224 () (not @t223)) % 169.03/169.95 (define @t225 () (forall @t9 (or @t224 @t222))) % 169.03/169.95 (define @t226 () (not @t222)) % 169.03/169.95 (define @t227 () (forall @t12 (or (not (forall @t9 (or @t226 @t223))) (not @t225) @t3))) % 169.03/169.95 (define @t228 () (@var "BOUND_VARIABLE_8299" $$unsorted)) % 169.03/169.95 (define @t229 () (= @t19 @t228)) % 169.03/169.95 (define @t230 () (@var "BOUND_VARIABLE_8635" (@ho-elim-sort (-> $$unsorted Bool)))) % 169.03/169.95 (define @t231 () (not (_ @t221 @t230 @t19))) % 169.03/169.95 (define @t232 () (_ @t221 @t230 @t4)) % 169.03/169.95 (define @t233 () (not @t232)) % 169.03/169.95 (define @t234 () (forall @t9 (not (_ @t221 @t220 tptp.emptyset)))) % 169.03/169.95 (define @t235 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 169.03/169.95 (define @t236 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 169.03/169.95 (define @t237 () (@const 6 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))) % 169.03/169.95 (define @t238 () (@const 7 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))))) % 169.03/169.95 (define @t239 () (@const 8 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) % 169.03/169.95 (define @t240 () (_ @t221 @t220 (_ @t239 (_ @t238 @t237 @t2) @t230))) % 169.03/169.95 (define @t241 () (not @t240)) % 169.03/169.95 (define @t242 () (@list @t2 @t230 @t4)) % 169.03/169.95 (define @t243 () (@var "BOUND_VARIABLE_8170" $$unsorted)) % 169.03/169.95 (define @t244 () (= @t19 @t243)) % 169.03/169.95 (define @t245 () (=> (forall (@list @t230 @t243) (or (_ @t221 @t230 (_ @t239 (@const 9 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) @t230)) (not (_ @t221 @t230 @t243)) (not (forall @t68 (or @t231 @t244))))) (=> (forall @t242 (or @t226 @t233 @t240)) (=> (forall @t242 (or @t241 @t222)) (=> (forall @t242 (or @t241 @t232)) (=> (forall @t9 (not (_ @t221 @t220 (_ @t239 (_ @t238 @t237 (_ @t236 @t235 tptp.emptyset)) (@const 3 (@ho-elim-sort (-> $$unsorted Bool))))))) (=> @t234 (=> @t234 (=> @t234 (=> (forall (@list @t230 @t228) (or (not (forall @t9 @t233)) (not (_ @t221 @t230 @t228)) (not (forall @t68 (or @t231 @t229))))) @t227)))))))))) % 169.03/169.95 (define @t246 () (@var "BOUND_VARIABLE_8090" $$unsorted)) % 169.03/169.95 (define @t247 () (_ @t219 @t218 @t246)) % 169.03/169.95 (define @t248 () (@list @t91 @t246)) % 169.03/169.95 (define @t249 () (_ @t219 @t218 @t19)) % 169.03/169.95 (define @t250 () (_ @t221 @t249 @t102)) % 169.03/169.95 (define @t251 () (_ @t221 @t220 @t102)) % 169.03/169.95 (define @t252 () (not @t251)) % 169.03/169.95 (define @t253 () (not (_ @t221 (_ @t219 @t218 @t93) @t1))) % 169.03/169.95 (define @t254 () (@var "BOUND_VARIABLE_8119" $$unsorted)) % 169.03/169.95 (define @t255 () (@list @t102 @t254)) % 169.03/169.95 (define @t256 () (not (forall @t255 (or (not (forall @t9 (or @t252 @t222))) (not (_ @t221 (_ @t219 @t218 @t254) @t102)) (not (forall @t110 (or @t253 @t252 (not (forall @t68 (or (not (_ @t221 @t249 @t93)) (not @t250)))) (not (forall @t248 (or (not (_ @t221 (_ @t219 @t218 @t91) @t1)) (_ @t221 @t220 @t91) (not (_ @t221 @t247 @t91)) (_ @t221 @t247 @t93))))))))))) % 169.03/169.95 (define @t257 () (@var "BOUND_VARIABLE_8042" $$unsorted)) % 169.03/169.95 (define @t258 () (_ @t219 @t218 @t257)) % 169.03/169.95 (define @t259 () (@var "BOUND_VARIABLE_8036" $$unsorted)) % 169.03/169.95 (define @t260 () (_ @t219 @t218 @t259)) % 169.03/169.95 (define @t261 () (not (_ @t221 (_ @t219 @t218 @t102) @t1))) % 169.03/169.95 (define @t262 () (@list @t102 @t93 @t259 @t257)) % 169.03/169.95 (define @t263 () (not (forall @t262 (or @t261 @t253 (not (_ @t221 @t260 @t102)) (_ @t221 @t260 @t93) (not (_ @t221 @t258 @t93)) (_ @t221 @t258 @t102))))) % 169.03/169.95 (define @t264 () (or @t261 (= @t251 @t250))) % 169.03/169.95 (define @t265 () (forall @t116 @t264)) % 169.03/169.95 (define @t266 () (not @t265)) % 169.03/169.95 (define @t267 () (_ @t221 @t249 @t2)) % 169.03/169.95 (define @t268 () (not @t267)) % 169.03/169.95 (define @t269 () (or @t226 @t268 @t266 @t127)) % 169.03/169.95 (define @t270 () (forall @t133 @t269)) % 169.03/169.95 (define @t271 () (not @t270)) % 169.03/169.95 (define @t272 () (@var "BOUND_VARIABLE_7985" $$unsorted)) % 169.03/169.95 (define @t273 () (_ @t219 @t218 @t272)) % 169.03/169.95 (define @t274 () (@list @t102 @t272)) % 169.03/169.95 (define @t275 () (not (forall @t274 (or @t261 (not (_ @t221 @t273 @t102)) (_ @t221 @t273 @t2))))) % 169.03/169.95 (define @t276 () (or @t275 @t271 @t263 @t256)) % 169.03/169.95 (define @t277 () (forall @t39 @t276)) % 169.03/169.95 (define @t278 () (not @t277)) % 169.03/169.95 (define @t279 () (forall @t62 @t278)) % 169.03/169.95 (define @t280 () (=> @t279 @t245)) % 169.03/169.95 (define @t281 () (_ @t219 @t218 @t1)) % 169.03/169.95 (define @t282 () (not (_ @t221 @t281 @t2))) % 169.03/169.95 (define @t283 () (@var "BOUND_VARIABLE_7960" $$unsorted)) % 169.03/169.95 (define @t284 () (@list @t2 @t283)) % 169.03/169.95 (define @t285 () (forall @t284 (or (not (_ @t221 (_ @t219 @t218 @t283) @t2)) (not (forall @t39 (or @t282 (not (forall @t9 (or @t224 @t226))))))))) % 169.03/169.95 (define @t286 () (=> @t285 @t280)) % 169.03/169.95 (define @t287 () (@var "BOUND_VARIABLE_8814" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 169.03/169.95 (define @t288 () (@var "BOUND_VARIABLE_7849" $$unsorted)) % 169.03/169.95 (define @t289 () (= @t19 @t288)) % 169.03/169.95 (define @t290 () (_ @t219 @t287 @t4)) % 169.03/169.95 (define @t291 () (@list @t288)) % 169.03/169.95 (define @t292 () (forall (@list @t287 @t2) (or (not (forall @t9 (or @t226 (not (forall @t291 (or (not (_ @t221 @t290 @t288)) (not (forall @t68 (or (not (_ @t221 @t290 @t19)) @t289))))))))) (not (forall @t39 (not (forall @t9 (= @t223 (not (forall @t68 (or @t268 (not (_ @t221 (_ @t219 @t287 @t19) @t4))))))))))))) % 169.03/169.95 (define @t293 () (=> @t292 @t286)) % 169.03/169.95 (define @t294 () (@var "BOUND_VARIABLE_7830" $$unsorted)) % 169.03/169.95 (define @t295 () (_ @t219 @t218 @t294)) % 169.03/169.95 (define @t296 () (_ (@const 11 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted)))) (@const 10 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted))) @t4)) % 169.03/169.95 (define @t297 () (_ @t219 @t218 (_ @t236 @t296 @t4))) % 169.03/169.95 (define @t298 () (not (_ @t221 @t220 tptp.omega))) % 169.03/169.95 (define @t299 () (_ @t219 @t218 tptp.emptyset)) % 169.03/169.95 (define @t300 () (@list @t2 @t294)) % 169.03/169.95 (define @t301 () (forall @t300 (or (not (_ @t221 @t299 @t2)) (not (forall @t9 (or @t298 @t226 (_ @t221 @t297 @t2)))) (not (_ @t221 @t295 tptp.omega)) (_ @t221 @t295 @t2)))) % 169.03/169.95 (define @t302 () (=> @t301 @t293)) % 169.03/169.95 (define @t303 () (forall @t9 (or @t298 (_ @t221 @t297 tptp.omega)))) % 169.03/169.95 (define @t304 () (=> @t303 @t302)) % 169.03/169.95 (define @t305 () (_ @t221 @t299 tptp.omega)) % 169.03/169.95 (define @t306 () (=> @t305 @t304)) % 169.03/169.95 (define @t307 () (not (forall @t39 (or @t224 @t282)))) % 169.03/169.95 (define @t308 () (_ @t221 @t220 (_ @t236 (@const 12 (@ho-elim-sort (-> $$unsorted $$unsorted))) @t2))) % 169.03/169.95 (define @t309 () (forall @t44 (= @t307 @t308))) % 169.03/169.95 (define @t310 () (=> @t309 @t306)) % 169.03/169.95 (define @t311 () (forall @t12 (= @t225 (_ @t221 @t281 (_ @t236 @t235 @t2))))) % 169.03/169.95 (define @t312 () (=> @t311 @t310)) % 169.03/169.95 (define @t313 () (_ @t221 @t249 (_ @t236 @t296 @t2))) % 169.03/169.95 (define @t314 () (or @t127 @t267)) % 169.03/169.95 (define @t315 () (forall @t27 (= @t313 @t314))) % 169.03/169.95 (define @t316 () (=> @t315 @t312)) % 169.03/169.95 (define @t317 () (=> @t234 @t316)) % 169.03/169.95 (define @t318 () (forall @t12 (or (not (forall @t9 (= @t222 @t223))) @t3))) % 169.03/169.95 (define @t319 () (=> @t318 @t317)) % 169.03/169.95 (define @t320 () (not @t319)) % 169.03/169.95 (define @t321 () (tptp.in @t4 @t2)) % 169.03/169.95 (define @t322 () (tptp.in @t4 @t1)) % 169.03/169.95 (define @t323 () (not @t322)) % 169.03/169.95 (define @t324 () (forall @t9 (or @t323 @t321))) % 169.03/169.95 (define @t325 () (not @t324)) % 169.03/169.95 (define @t326 () (not @t321)) % 169.03/169.95 (define @t327 () (forall @t9 (or @t326 @t322))) % 169.03/169.95 (define @t328 () (not @t327)) % 169.03/169.95 (define @t329 () (or @t328 @t325 @t3)) % 169.03/169.95 (define @t330 () (forall @t12 @t329)) % 169.03/169.95 (define @t331 () (_ @t141 @t19)) % 169.03/169.95 (define @t332 () (not @t331)) % 169.03/169.95 (define @t333 () (not (_ @t141 @t228))) % 169.03/169.95 (define @t334 () (_ @t141 @t4)) % 169.03/169.95 (define @t335 () (not @t334)) % 169.03/169.95 (define @t336 () (not (forall @t9 @t335))) % 169.03/169.95 (define @t337 () (@list @t141 @t228)) % 169.03/169.95 (define @t338 () (tptp.in @t4 tptp.emptyset)) % 169.03/169.95 (define @t339 () (forall @t9 (not @t338))) % 169.03/169.95 (define @t340 () (=> @t339 (=> @t339 (=> @t339 (=> (forall @t337 (or @t336 @t333 (not (forall @t68 (or @t332 @t229))))) @t330))))) % 169.03/169.95 (define @t341 () (tptp.powerset tptp.emptyset)) % 169.03/169.95 (define @t342 () (tptp.in @t4 (tptp.dsetconstr @t2 @t141))) % 169.03/169.95 (define @t343 () (not @t342)) % 169.03/169.95 (define @t344 () (forall @t157 (or @t343 @t334))) % 169.03/169.95 (define @t345 () (forall @t157 (or @t343 @t321))) % 169.03/169.95 (define @t346 () (forall @t157 (or @t326 @t335 @t342))) % 169.03/169.95 (define @t347 () (not (_ @t141 @t243))) % 169.03/169.95 (define @t348 () (_ @t141 (tptp.descr @t141))) % 169.03/169.95 (define @t349 () (@list @t141 @t243)) % 169.03/169.95 (define @t350 () (forall @t349 (or @t348 @t347 (not (forall @t68 (or @t332 @t244)))))) % 169.03/169.95 (define @t351 () (tptp.in @t246 @t93)) % 169.03/169.95 (define @t352 () (not (tptp.in @t246 @t91))) % 169.03/169.95 (define @t353 () (tptp.in @t4 @t91)) % 169.03/169.95 (define @t354 () (tptp.in @t91 @t1)) % 169.03/169.95 (define @t355 () (not @t354)) % 169.03/169.95 (define @t356 () (or @t355 @t353 @t352 @t351)) % 169.03/169.95 (define @t357 () (forall @t248 @t356)) % 169.03/169.95 (define @t358 () (not @t357)) % 169.03/169.95 (define @t359 () (tptp.in @t19 @t102)) % 169.03/169.95 (define @t360 () (tptp.in @t19 @t93)) % 169.03/169.95 (define @t361 () (forall @t68 (or (not @t360) (not @t359)))) % 169.03/169.95 (define @t362 () (not @t361)) % 169.03/169.95 (define @t363 () (tptp.in @t4 @t102)) % 169.03/169.95 (define @t364 () (not @t363)) % 169.03/169.95 (define @t365 () (tptp.in @t93 @t1)) % 169.03/169.95 (define @t366 () (not @t365)) % 169.03/169.95 (define @t367 () (not (forall @t110 (or @t366 @t364 @t362 @t358)))) % 169.03/169.95 (define @t368 () (not (tptp.in @t254 @t102))) % 169.03/169.95 (define @t369 () (forall @t9 (or @t364 @t321))) % 169.03/169.95 (define @t370 () (not @t369)) % 169.03/169.95 (define @t371 () (or @t370 @t368 @t367)) % 169.03/169.95 (define @t372 () (forall @t255 @t371)) % 169.03/169.95 (define @t373 () (not @t372)) % 169.03/169.95 (define @t374 () (tptp.in @t257 @t102)) % 169.03/169.95 (define @t375 () (not (tptp.in @t257 @t93))) % 169.03/169.95 (define @t376 () (tptp.in @t259 @t93)) % 169.03/169.95 (define @t377 () (not (tptp.in @t259 @t102))) % 169.03/169.95 (define @t378 () (tptp.in @t102 @t1)) % 169.03/169.95 (define @t379 () (not @t378)) % 169.03/169.95 (define @t380 () (or @t379 @t366 @t377 @t376 @t375 @t374)) % 169.03/169.95 (define @t381 () (forall @t262 @t380)) % 169.03/169.95 (define @t382 () (not @t381)) % 169.03/169.95 (define @t383 () (forall @t116 (or @t379 (= @t363 @t359)))) % 169.03/169.95 (define @t384 () (not @t383)) % 169.03/169.95 (define @t385 () (tptp.in @t19 @t2)) % 169.03/169.95 (define @t386 () (not @t385)) % 169.03/169.95 (define @t387 () (forall @t133 (or @t326 @t386 @t384 @t127))) % 169.03/169.95 (define @t388 () (not @t387)) % 169.03/169.95 (define @t389 () (tptp.in @t272 @t2)) % 169.03/169.95 (define @t390 () (not (tptp.in @t272 @t102))) % 169.03/169.95 (define @t391 () (or @t379 @t390 @t389)) % 169.03/169.95 (define @t392 () (forall @t274 @t391)) % 169.03/169.95 (define @t393 () (not @t392)) % 169.03/169.95 (define @t394 () (or @t393 @t388 @t382 @t373)) % 169.03/169.95 (define @t395 () (forall @t62 (not (forall @t39 @t394)))) % 169.03/169.95 (define @t396 () (forall @t9 (or @t323 @t326))) % 169.03/169.95 (define @t397 () (not @t396)) % 169.03/169.95 (define @t398 () (tptp.in @t1 @t2)) % 169.03/169.95 (define @t399 () (not @t398)) % 169.03/169.95 (define @t400 () (not (forall @t39 (or @t399 @t397)))) % 169.03/169.95 (define @t401 () (not (tptp.in @t283 @t2))) % 169.03/169.95 (define @t402 () (or @t401 @t400)) % 169.03/169.95 (define @t403 () (forall @t284 @t402)) % 169.03/169.95 (define @t404 () (_ @t65 @t19 @t4)) % 169.03/169.95 (define @t405 () (not (forall @t68 (or @t386 (not @t404))))) % 169.03/169.95 (define @t406 () (forall @t9 (= @t322 @t405))) % 169.03/169.95 (define @t407 () (not (forall @t39 (not @t406)))) % 169.03/169.95 (define @t408 () (_ @t65 @t4 @t19)) % 169.03/169.95 (define @t409 () (not (forall @t68 (or (not @t408) @t289)))) % 169.03/169.95 (define @t410 () (_ @t65 @t4 @t288)) % 169.03/169.95 (define @t411 () (not (forall @t291 (or (not @t410) @t409)))) % 169.03/169.95 (define @t412 () (forall @t9 (or @t326 @t411))) % 169.03/169.95 (define @t413 () (forall @t79 (or (not @t412) @t407))) % 169.03/169.95 (define @t414 () (tptp.in @t294 @t2)) % 169.03/169.95 (define @t415 () (not (tptp.in @t294 tptp.omega))) % 169.03/169.95 (define @t416 () (tptp.setadjoin @t4 @t4)) % 169.03/169.95 (define @t417 () (tptp.in @t416 @t2)) % 169.03/169.95 (define @t418 () (tptp.in @t4 tptp.omega)) % 169.03/169.95 (define @t419 () (not @t418)) % 169.03/169.95 (define @t420 () (forall @t9 (or @t419 @t326 @t417))) % 169.03/169.95 (define @t421 () (not @t420)) % 169.03/169.95 (define @t422 () (tptp.in tptp.emptyset @t2)) % 169.03/169.95 (define @t423 () (not @t422)) % 169.03/169.95 (define @t424 () (or @t423 @t421 @t415 @t414)) % 169.03/169.95 (define @t425 () (forall @t300 @t424)) % 169.03/169.95 (define @t426 () (tptp.in @t416 tptp.omega)) % 169.03/169.95 (define @t427 () (forall @t9 (or @t419 @t426))) % 169.03/169.95 (define @t428 () (tptp.setunion @t2)) % 169.03/169.95 (define @t429 () (tptp.in @t4 @t428)) % 169.03/169.95 (define @t430 () (not (forall @t39 (or @t323 @t399)))) % 169.03/169.95 (define @t431 () (forall @t44 (= @t430 @t429))) % 169.03/169.95 (define @t432 () (tptp.powerset @t2)) % 169.03/169.95 (define @t433 () (tptp.in @t1 @t432)) % 169.03/169.95 (define @t434 () (forall @t12 (= @t324 @t433))) % 169.03/169.95 (define @t435 () (tptp.setadjoin @t4 @t2)) % 169.03/169.95 (define @t436 () (tptp.in @t19 @t435)) % 169.03/169.95 (define @t437 () (forall @t27 (= @t436 (or @t127 @t385)))) % 169.03/169.95 (define @t438 () (forall @t9 (= @t321 @t322))) % 169.03/169.95 (define @t439 () (forall @t12 (or (not @t438) @t3))) % 169.03/169.95 (define @t440 () (not (=> @t439 (=> @t339 (=> @t437 (=> @t434 (=> @t431 (=> @t48 (=> @t427 (=> @t425 (=> @t413 (=> @t403 (=> @t395 (=> @t350 (=> @t346 (=> @t345 (=> @t344 (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t341 (@const 13 (-> $$unsorted Bool)))))) @t340)))))))))))))))))) % 169.03/169.95 (define @t441 () (@var "BOUND_VARIABLE_8577" $$unsorted)) % 169.03/169.95 (define @t442 () (lambda (@list @t441) false)) % 169.03/169.95 (define @t443 () (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t341 @t442)))) @t340)) % 169.03/169.95 (define @t444 () (=> @t344 (=> true @t443))) % 169.03/169.95 (define @t445 () (=> @t345 @t444)) % 169.03/169.95 (define @t446 () (=> @t346 @t445)) % 169.03/169.95 (define @t447 () (=> @t350 @t446)) % 169.03/169.95 (define @t448 () (=> @t395 @t447)) % 169.03/169.95 (define @t449 () (=> @t403 @t448)) % 169.03/169.95 (define @t450 () (=> @t413 @t449)) % 169.03/169.95 (define @t451 () (=> @t425 @t450)) % 169.03/169.95 (define @t452 () (=> @t427 @t451)) % 169.03/169.95 (define @t453 () (=> @t48 @t452)) % 169.03/169.95 (define @t454 () (=> @t431 @t453)) % 169.03/169.95 (define @t455 () (=> @t434 @t454)) % 169.03/169.95 (define @t456 () (=> @t437 @t455)) % 169.03/169.95 (define @t457 () (=> @t339 @t456)) % 169.03/169.95 (define @t458 () (=> @t439 @t457)) % 169.03/169.95 (define @t459 () (or @t332 (= @t228 @t19))) % 169.03/169.95 (define @t460 () (forall @t68 @t459)) % 169.03/169.95 (define @t461 () (not @t460)) % 169.03/169.95 (define @t462 () (or @t336 @t333 @t461)) % 169.03/169.95 (define @t463 () (or @t333 @t461)) % 169.03/169.95 (define @t464 () (or @t463 @t336)) % 169.03/169.95 (define @t465 () (forall @t337 @t464)) % 169.03/169.95 (define @t466 () (@list @t228)) % 169.03/169.95 (define @t467 () (forall @t466 @t464)) % 169.03/169.95 (define @t468 () (forall @t466 @t463)) % 169.03/169.95 (define @t469 () (@list @t4)) % 169.03/169.95 (define @t470 () (or @t468 @t336)) % 169.03/169.95 (define @t471 () (forall @t68 (or @t332 @t127))) % 169.03/169.95 (define @t472 () (not @t471)) % 169.03/169.95 (define @t473 () (forall @t9 (or @t335 @t472))) % 169.03/169.95 (define @t474 () (not @t473)) % 169.03/169.95 (define @t475 () (not @t474)) % 169.03/169.95 (define @t476 () (not @t142)) % 169.03/169.95 (define @t477 () (forall @t9 @t476)) % 169.03/169.95 (define @t478 () (not @t477)) % 169.03/169.95 (define @t479 () (or @t476 @t472)) % 169.03/169.95 (define @t480 () (not @t151)) % 169.03/169.95 (define @t481 () (or @t480 @t127)) % 169.03/169.95 (define @t482 () (_ @t143 @t19)) % 169.03/169.95 (define @t483 () (not @t482)) % 169.03/169.95 (define @t484 () (or @t483 @t127)) % 169.03/169.95 (define @t485 () (forall @t68 @t484)) % 169.03/169.95 (define @t486 () (not @t485)) % 169.03/169.95 (define @t487 () (_ @t143 @t4)) % 169.03/169.95 (define @t488 () (not @t487)) % 169.03/169.95 (define @t489 () (or @t488 @t486)) % 169.03/169.95 (define @t490 () (forall @t9 @t489)) % 169.03/169.95 (define @t491 () (not @t490)) % 169.03/169.95 (define @t492 () (lambda @t148 @t474)) % 169.03/169.95 (define @t493 () (_ @t492 @t143)) % 169.03/169.95 (define @t494 () (=> @t493 @t182)) % 169.03/169.95 (define @t495 () (forall @t148 @t494)) % 169.03/169.95 (define @t496 () (and @t142 @t471)) % 169.03/169.95 (define @t497 () (forall @t9 (not @t496))) % 169.03/169.95 (define @t498 () (not @t497)) % 169.03/169.95 (define @t499 () (=> tptp.exuE3e @t330)) % 169.03/169.95 (define @t500 () (=> tptp.notinemptyset @t499)) % 169.03/169.95 (define @t501 () (=> tptp.emptysetimpfalse @t500)) % 169.03/169.95 (define @t502 () (not (= @t170 false))) % 169.03/169.95 (define @t503 () (or @t170 @t170)) % 169.03/169.95 (define @t504 () (=> tptp.emptysetE @t501)) % 169.03/169.95 (define @t505 () (@var "BOUND_VARIABLE_8244" $$unsorted)) % 169.03/169.95 (define @t506 () (@list @t505)) % 169.03/169.95 (define @t507 () (lambda @t506 false)) % 169.03/169.95 (define @t508 () (@list @t505)) % 169.03/169.95 (define @t509 () (tptp.dsetconstr @t341 @t507)) % 169.03/169.95 (define @t510 () (tptp.in @t4 @t509)) % 169.03/169.95 (define @t511 () (not @t510)) % 169.03/169.95 (define @t512 () (or @t511 false)) % 169.03/169.95 (define @t513 () (lambda @t506 @t170)) % 169.03/169.95 (define @t514 () (tptp.dsetconstr @t341 @t513)) % 169.03/169.95 (define @t515 () (tptp.in @t4 @t514)) % 169.03/169.95 (define @t516 () (not @t515)) % 169.03/169.95 (define @t517 () (or @t170 @t516 @t170)) % 169.03/169.95 (define @t518 () (or @t516 @t170)) % 169.03/169.95 (define @t519 () (forall @t175 @t518)) % 169.03/169.95 (define @t520 () (forall @t9 @t519)) % 169.03/169.95 (define @t521 () (forall (@list @t4 @t170) @t518)) % 169.03/169.95 (define @t522 () (_ @t215 @t513)) % 169.03/169.95 (define @t523 () (_ @t5 @t522)) % 169.03/169.95 (define @t524 () (not @t523)) % 169.03/169.95 (define @t525 () (or @t524 @t170)) % 169.03/169.95 (define @t526 () (=> (_ @t5 @t216) @t170)) % 169.03/169.95 (define @t527 () (_ @t217 @t170)) % 169.03/169.95 (define @t528 () (=> (_ @t5 @t527) @t170)) % 169.03/169.95 (define @t529 () (forall @t172 @t528)) % 169.03/169.95 (define @t530 () (=> tptp.prop2setE @t504)) % 169.03/169.95 (define @t531 () (=> @t493 @t166)) % 169.03/169.95 (define @t532 () (forall @t148 @t531)) % 169.03/169.95 (define @t533 () (=> tptp.exuE1 @t530)) % 169.03/169.95 (define @t534 () (lambda @t68 @t331)) % 169.03/169.95 (define @t535 () (tptp.dsetconstr @t2 @t534)) % 169.03/169.95 (define @t536 () (tptp.in @t4 @t535)) % 169.03/169.95 (define @t537 () (not @t536)) % 169.03/169.95 (define @t538 () (or @t537 @t334)) % 169.03/169.95 (define @t539 () (not @t155)) % 169.03/169.95 (define @t540 () (or @t539 @t142)) % 169.03/169.95 (define @t541 () (=> tptp.dsetconstrER @t533)) % 169.03/169.95 (define @t542 () (or @t537 @t321)) % 169.03/169.95 (define @t543 () (or @t539 @t7)) % 169.03/169.95 (define @t544 () (=> tptp.dsetconstrEL @t541)) % 169.03/169.95 (define @t545 () (or @t326 @t335 @t536)) % 169.03/169.95 (define @t546 () (not @t7)) % 169.03/169.95 (define @t547 () (or @t546 @t476 @t155)) % 169.03/169.95 (define @t548 () (=> tptp.dsetconstrI @t544)) % 169.03/169.95 (define @t549 () (or @t332 (= @t243 @t19))) % 169.03/169.95 (define @t550 () (forall @t68 @t549)) % 169.03/169.95 (define @t551 () (not @t550)) % 169.03/169.95 (define @t552 () (or @t348 @t347 @t551)) % 169.03/169.95 (define @t553 () (or @t347 @t551)) % 169.03/169.95 (define @t554 () (or @t553 @t348)) % 169.03/169.95 (define @t555 () (forall @t349 @t554)) % 169.03/169.95 (define @t556 () (@list @t243)) % 169.03/169.95 (define @t557 () (forall @t556 @t554)) % 169.03/169.95 (define @t558 () (forall @t556 @t553)) % 169.03/169.95 (define @t559 () (or @t558 @t348)) % 169.03/169.95 (define @t560 () (lambda @t9 @t334)) % 169.03/169.95 (define @t561 () (tptp.descr @t560)) % 169.03/169.95 (define @t562 () (_ @t141 @t561)) % 169.03/169.95 (define @t563 () (or @t473 @t562)) % 169.03/169.95 (define @t564 () (or @t473 @t145)) % 169.03/169.95 (define @t565 () (=> @t493 @t145)) % 169.03/169.95 (define @t566 () (forall @t148 @t565)) % 169.03/169.95 (define @t567 () (=> tptp.descrp @t548)) % 169.03/169.95 (define @t568 () (and @t392 @t387 @t381 @t372)) % 169.03/169.95 (define @t569 () (forall @t39 (not @t568))) % 169.03/169.95 (define @t570 () (not @t569)) % 169.03/169.95 (define @t571 () (@list @t254)) % 169.03/169.95 (define @t572 () (forall @t571 @t371)) % 169.03/169.95 (define @t573 () (forall @t571 @t368)) % 169.03/169.95 (define @t574 () (or @t370 @t573 @t367)) % 169.03/169.95 (define @t575 () (forall @t9 @t364)) % 169.03/169.95 (define @t576 () (or @t370 @t575 @t367)) % 169.03/169.95 (define @t577 () (not @t575)) % 169.03/169.95 (define @t578 () (and @t369 @t577)) % 169.03/169.95 (define @t579 () (not @t107)) % 169.03/169.95 (define @t580 () (not @t108)) % 169.03/169.95 (define @t581 () (or @t580 @t579 @t362 @t358)) % 169.03/169.95 (define @t582 () (and @t108 @t107 @t361 @t357)) % 169.03/169.95 (define @t583 () (forall @t110 (not @t582))) % 169.03/169.95 (define @t584 () (not @t583)) % 169.03/169.95 (define @t585 () (or @t352 @t351)) % 169.03/169.95 (define @t586 () (or @t355 @t585 @t353)) % 169.03/169.95 (define @t587 () (forall @t248 @t586)) % 169.03/169.95 (define @t588 () (@list @t246)) % 169.03/169.95 (define @t589 () (forall @t588 @t586)) % 169.03/169.95 (define @t590 () (forall @t588 @t585)) % 169.03/169.95 (define @t591 () (or @t355 @t590 @t353)) % 169.03/169.95 (define @t592 () (tptp.in @t19 @t91)) % 169.03/169.95 (define @t593 () (forall @t68 (or (not @t592) @t360))) % 169.03/169.95 (define @t594 () (not @t98)) % 169.03/169.95 (define @t595 () (or @t594 @t593 @t92)) % 169.03/169.95 (define @t596 () (or @t593 @t92)) % 169.03/169.95 (define @t597 () (not @t95)) % 169.03/169.95 (define @t598 () (or @t597 @t94)) % 169.03/169.95 (define @t599 () (not @t103)) % 169.03/169.95 (define @t600 () (not @t94)) % 169.03/169.95 (define @t601 () (or @t600 @t599)) % 169.03/169.95 (define @t602 () (forall @t68 (not @t104))) % 169.03/169.95 (define @t603 () (not @t602)) % 169.03/169.95 (define @t604 () (forall @t9 @t579)) % 169.03/169.95 (define @t605 () (not @t604)) % 169.03/169.95 (define @t606 () (or @t579 @t7)) % 169.03/169.95 (define @t607 () (or @t375 @t374)) % 169.03/169.95 (define @t608 () (or @t377 @t376)) % 169.03/169.95 (define @t609 () (or @t379 @t366 @t608 @t607)) % 169.03/169.95 (define @t610 () (forall @t262 @t609)) % 169.03/169.95 (define @t611 () (forall (@list @t259 @t257) @t609)) % 169.03/169.95 (define @t612 () (forall (@list @t257) @t607)) % 169.03/169.95 (define @t613 () (forall (@list @t259) @t608)) % 169.03/169.95 (define @t614 () (or @t379 @t366 @t613 @t612)) % 169.03/169.95 (define @t615 () (tptp.in @t4 @t93)) % 169.03/169.95 (define @t616 () (forall @t9 (or (not @t615) @t363))) % 169.03/169.95 (define @t617 () (forall @t9 (or @t364 @t615))) % 169.03/169.95 (define @t618 () (not @t122)) % 169.03/169.95 (define @t619 () (or @t618 @t580 @t617 @t616)) % 169.03/169.95 (define @t620 () (or @t617 @t616)) % 169.03/169.95 (define @t621 () (not @t118)) % 169.03/169.95 (define @t622 () (or @t621 @t107)) % 169.03/169.95 (define @t623 () (or @t579 @t118)) % 169.03/169.95 (define @t624 () (not @t21)) % 169.03/169.95 (define @t625 () (or @t546 @t624 @t384 @t127)) % 169.03/169.95 (define @t626 () (=> @t383 @t127)) % 169.03/169.95 (define @t627 () (or @t618 @t128)) % 169.03/169.95 (define @t628 () (or @t390 @t389)) % 169.03/169.95 (define @t629 () (or @t379 @t628)) % 169.03/169.95 (define @t630 () (forall @t274 @t629)) % 169.03/169.95 (define @t631 () (@list @t272)) % 169.03/169.95 (define @t632 () (forall @t631 @t629)) % 169.03/169.95 (define @t633 () (forall @t631 @t628)) % 169.03/169.95 (define @t634 () (or @t379 @t633)) % 169.03/169.95 (define @t635 () (or @t618 @t369)) % 169.03/169.95 (define @t636 () (=> tptp.wellorderingAx @t567)) % 169.03/169.95 (define @t637 () (@list @t283)) % 169.03/169.95 (define @t638 () (forall @t637 @t402)) % 169.03/169.95 (define @t639 () (forall @t637 @t401)) % 169.03/169.95 (define @t640 () (or @t639 @t400)) % 169.03/169.95 (define @t641 () (forall @t9 @t326)) % 169.03/169.95 (define @t642 () (not @t641)) % 169.03/169.95 (define @t643 () (not @t37)) % 169.03/169.95 (define @t644 () (or @t643 @t397)) % 169.03/169.95 (define @t645 () (and @t37 @t396)) % 169.03/169.95 (define @t646 () (forall @t39 (not @t645))) % 169.03/169.95 (define @t647 () (not @t646)) % 169.03/169.95 (define @t648 () (not @t6)) % 169.03/169.95 (define @t649 () (or @t648 @t546)) % 169.03/169.95 (define @t650 () (forall @t9 (not @t82))) % 169.03/169.95 (define @t651 () (not @t650)) % 169.03/169.95 (define @t652 () (forall @t9 @t546)) % 169.03/169.95 (define @t653 () (not @t652)) % 169.03/169.95 (define @t654 () (=> tptp.foundationAx @t636)) % 169.03/169.95 (define @t655 () (= @t6 @t405)) % 169.03/169.95 (define @t656 () (not @t66)) % 169.03/169.95 (define @t657 () (or @t624 @t656)) % 169.03/169.95 (define @t658 () (forall @t68 (not @t67))) % 169.03/169.95 (define @t659 () (not @t658)) % 169.03/169.95 (define @t660 () (or @t546 @t411)) % 169.03/169.95 (define @t661 () (_ @t73 @t288)) % 169.03/169.95 (define @t662 () (not @t661)) % 169.03/169.95 (define @t663 () (or @t662 @t409)) % 169.03/169.95 (define @t664 () (not @t74)) % 169.03/169.95 (define @t665 () (or @t664 @t289)) % 169.03/169.95 (define @t666 () (_ @t75 @t19)) % 169.03/169.95 (define @t667 () (not @t666)) % 169.03/169.95 (define @t668 () (or @t667 @t289)) % 169.03/169.95 (define @t669 () (forall @t68 @t668)) % 169.03/169.95 (define @t670 () (not @t669)) % 169.03/169.95 (define @t671 () (_ @t75 @t288)) % 169.03/169.95 (define @t672 () (not @t671)) % 169.03/169.95 (define @t673 () (or @t672 @t670)) % 169.03/169.95 (define @t674 () (forall @t291 @t673)) % 169.03/169.95 (define @t675 () (not @t674)) % 169.03/169.95 (define @t676 () (not (_ @t141 @t288))) % 169.03/169.95 (define @t677 () (or @t332 (= @t288 @t19))) % 169.03/169.95 (define @t678 () (forall @t68 @t677)) % 169.03/169.95 (define @t679 () (not @t678)) % 169.03/169.95 (define @t680 () (or @t676 @t679)) % 169.03/169.95 (define @t681 () (forall @t291 @t680)) % 169.03/169.95 (define @t682 () (not @t681)) % 169.03/169.95 (define @t683 () (=> @t7 (_ @t492 @t75))) % 169.03/169.95 (define @t684 () (forall @t9 @t683)) % 169.03/169.95 (define @t685 () (=> @t684 @t72)) % 169.03/169.95 (define @t686 () (forall @t79 @t685)) % 169.03/169.95 (define @t687 () (=> tptp.replAx @t654)) % 169.03/169.95 (define @t688 () (or @t415 @t414)) % 169.03/169.95 (define @t689 () (or @t423 @t421 @t688)) % 169.03/169.95 (define @t690 () (forall @t300 @t689)) % 169.03/169.95 (define @t691 () (@list @t294)) % 169.03/169.95 (define @t692 () (forall @t691 @t689)) % 169.03/169.95 (define @t693 () (forall @t691 @t688)) % 169.03/169.95 (define @t694 () (or @t423 @t421 @t693)) % 169.03/169.95 (define @t695 () (forall @t9 (or @t419 @t321))) % 169.03/169.95 (define @t696 () (not @t59)) % 169.03/169.95 (define @t697 () (or @t696 @t421 @t695)) % 169.03/169.95 (define @t698 () (and @t59 @t420)) % 169.03/169.95 (define @t699 () (not @t52)) % 169.03/169.95 (define @t700 () (or @t699 @t7)) % 169.03/169.95 (define @t701 () (_ tptp.in @t416)) % 169.03/169.95 (define @t702 () (or @t699 @t546 @t56)) % 169.03/169.95 (define @t703 () (=> tptp.omegaIndAx @t687)) % 169.03/169.95 (define @t704 () (or @t699 @t51)) % 169.03/169.95 (define @t705 () (=> tptp.omegaSAx @t703)) % 169.03/169.95 (define @t706 () (=> tptp.omega0Ax @t705)) % 169.03/169.95 (define @t707 () (= @t42 @t430)) % 169.03/169.95 (define @t708 () (or @t648 @t643)) % 169.03/169.95 (define @t709 () (forall @t39 (not @t38))) % 169.03/169.95 (define @t710 () (not @t709)) % 169.03/169.95 (define @t711 () (=> tptp.setunionAx @t706)) % 169.03/169.95 (define @t712 () (= @t33 @t324)) % 169.03/169.95 (define @t713 () (or @t648 @t7)) % 169.03/169.95 (define @t714 () (=> tptp.powersetAx @t711)) % 169.03/169.95 (define @t715 () (or @t127 @t21)) % 169.03/169.95 (define @t716 () (= @t25 @t715)) % 169.03/169.95 (define @t717 () (=> tptp.setadjoinAx @t714)) % 169.03/169.95 (define @t718 () (=> tptp.emptysetAx @t717)) % 169.03/169.95 (define @t719 () (=> tptp.setextAx @t718)) % 169.03/169.95 (define @t720 () (=> @t324 @t3)) % 169.03/169.95 (define @t721 () (or @t546 @t6)) % 169.03/169.95 (define @t722 () (@quantifiers_skolemize @t227 0)) % 169.03/169.95 (define @t723 () (_ @t221 @t220 @t722)) % 169.03/169.95 (define @t724 () (@quantifiers_skolemize @t227 1)) % 169.03/169.95 (define @t725 () (_ @t221 @t220 @t724)) % 169.03/169.95 (define @t726 () (forall @t9 (or (not @t725) @t723))) % 169.03/169.95 (define @t727 () (= @t722 @t724)) % 169.03/169.95 (define @t728 () (not @t726)) % 169.03/169.95 (define @t729 () (forall @t9 (or (not @t723) @t725))) % 169.03/169.95 (define @t730 () (not @t729)) % 169.03/169.95 (define @t731 () (or @t730 @t728 @t727)) % 169.03/169.95 (define @t732 () (@list true)) % 169.03/169.95 (define @t733 () (@list @t731)) % 169.03/169.95 (define @t734 () (forall @t9 (= @t725 @t723))) % 169.03/169.95 (define @t735 () (not @t734)) % 169.03/169.95 (define @t736 () (or @t735 (= @t724 @t722))) % 169.03/169.95 (define @t737 () (forall @t9 (= @t723 @t725))) % 169.03/169.95 (define @t738 () (not @t737)) % 169.03/169.95 (define @t739 () (or @t738 @t727)) % 169.03/169.95 (define @t740 () (@list true false)) % 169.03/169.95 (define @t741 () (@quantifiers_skolemize @t737 0)) % 169.03/169.95 (define @t742 () (_ @t219 @t218 @t741)) % 169.03/169.95 (define @t743 () (_ @t221 @t742 @t724)) % 169.03/169.95 (define @t744 () (_ @t221 @t742 @t722)) % 169.03/169.95 (define @t745 () (= @t744 @t743)) % 169.03/169.95 (define @t746 () (@list @t741)) % 169.03/169.95 (define @t747 () (not @t744)) % 169.03/169.95 (define @t748 () (or @t747 @t743)) % 169.03/169.95 (define @t749 () (not @t743)) % 169.03/169.95 (define @t750 () (or @t749 @t744)) % 169.03/169.95 (define @t751 () (not @t750)) % 169.03/169.95 (assume @p1 @t14) % 169.03/169.95 (assume @p2 @t18) % 169.03/169.95 (assume @p3 @t29) % 169.03/169.95 (assume @p4 @t36) % 169.03/169.95 (assume @p5 @t46) % 169.03/169.95 (assume @p6 (= tptp.omega0Ax @t48)) % 169.03/169.95 (assume @p7 @t54) % 169.03/169.95 (assume @p8 @t64) % 169.03/169.95 (assume @p9 @t81) % 169.03/169.95 (assume @p10 @t90) % 169.03/169.95 (assume @p11 @t140) % 169.03/169.95 (assume @p12 @t150) % 169.03/169.95 (assume @p13 @t159) % 169.03/169.95 (assume @p14 @t161) % 169.03/169.95 (assume @p15 @t163) % 169.03/169.95 (assume @p16 @t169) % 169.03/169.95 (assume @p17 @t174) % 169.03/169.95 (assume @p18 @t179) % 169.03/169.95 (assume @p19 @t181) % 169.03/169.95 (assume @p20 (= tptp.notinemptyset @t17)) % 169.03/169.95 (assume @p21 @t185) % 169.03/169.95 (assume @p22 @t211) % 169.03/169.95 (assume @p23 true) % 169.03/169.95 (step @p24 (= tptp.exu @t212) :rule refl :args (@t212)) % 169.03/169.95 (step @p25 (= tptp.prop2set @t217) :rule refl :args (@t217)) % 169.03/169.95 (step @p26 :rule refl :args (@t245)) % 169.03/169.95 (step @p27 :rule refl :args (@t256)) % 169.03/169.95 (step @p28 :rule refl :args (@t263)) % 169.03/169.95 (step @p29 :rule refl :args (@t127)) % 169.03/169.95 (step @p30 :rule eq-symm :args (@t251 @t250)) % 169.03/169.95 (step @p31 :rule refl :args (@t261)) % 169.03/169.95 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t264)) % 169.03/169.95 (step @p33 :rule cong :premises (@p32) :args (@t265)) % 169.03/169.95 (step @p34 :rule cong :premises (@p33) :args (@t266)) % 169.03/169.95 (step @p35 :rule refl :args (@t268)) % 169.03/169.95 (step @p36 :rule refl :args (@t226)) % 169.03/169.95 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34 @p29) :args (@t269)) % 169.03/169.95 (step @p38 :rule cong :premises (@p37) :args (@t270)) % 169.03/169.95 (step @p39 :rule cong :premises (@p38) :args (@t271)) % 169.03/169.95 (step @p40 :rule refl :args (@t275)) % 169.03/169.95 (step @p41 :rule nary_cong :premises (@p40 @p39 @p28 @p27) :args (@t276)) % 169.03/169.95 (step @p42 :rule cong :premises (@p41) :args (@t277)) % 169.03/169.95 (step @p43 :rule cong :premises (@p42) :args (@t278)) % 169.03/169.95 (step @p44 :rule cong :premises (@p43) :args (@t279)) % 169.03/169.95 (step @p45 :rule cong :premises (@p44 @p26) :args (@t280)) % 169.03/169.95 (step @p46 :rule refl :args (@t285)) % 169.03/169.95 (step @p47 :rule cong :premises (@p46 @p45) :args (@t286)) % 169.03/169.95 (step @p48 :rule refl :args (@t292)) % 169.03/169.95 (step @p49 :rule cong :premises (@p48 @p47) :args (@t293)) % 169.03/169.95 (step @p50 :rule refl :args (@t301)) % 169.03/169.95 (step @p51 :rule cong :premises (@p50 @p49) :args (@t302)) % 169.03/169.95 (step @p52 :rule refl :args (@t303)) % 169.03/169.95 (step @p53 :rule cong :premises (@p52 @p51) :args (@t304)) % 169.03/169.95 (step @p54 :rule refl :args (@t305)) % 169.03/169.95 (step @p55 :rule cong :premises (@p54 @p53) :args (@t306)) % 169.03/169.95 (step @p56 :rule eq-symm :args (@t307 @t308)) % 169.03/169.95 (step @p57 :rule cong :premises (@p56) :args (@t309)) % 169.03/169.95 (step @p58 :rule cong :premises (@p57 @p55) :args (@t310)) % 169.03/169.96 (step @p59 :rule refl :args (@t311)) % 169.03/169.96 (step @p60 :rule cong :premises (@p59 @p58) :args (@t312)) % 169.03/169.96 (step @p61 :rule eq-symm :args (@t313 @t314)) % 169.03/169.96 (step @p62 :rule cong :premises (@p61) :args (@t315)) % 169.03/169.96 (step @p63 :rule cong :premises (@p62 @p60) :args (@t316)) % 169.03/169.96 (step @p64 :rule refl :args (@t234)) % 169.03/169.96 (step @p65 :rule cong :premises (@p64 @p63) :args (@t317)) % 169.03/169.96 (step @p66 :rule refl :args (@t318)) % 169.03/169.96 (step @p67 :rule cong :premises (@p66 @p65) :args (@t319)) % 169.03/169.96 (step @p68 :rule cong :premises (@p67) :args (@t320)) % 169.03/169.96 ; WARNING: add trust step for TRUST % 169.03/169.96 ; trust TRUST PREPROCESS_HO_ELIM % 169.03/169.96 (step @p69 :rule trust :premises () :args ((= @t440 @t320))) % 169.03/169.96 ; trust TRUST PREPROCESS_HO_ELIM % 169.03/169.96 (step @p70 :rule trust :premises () :args ((= (not (=> @t439 (=> @t339 (=> @t437 (=> @t434 (=> @t431 (=> @t48 (=> @t427 (=> @t425 (=> @t413 (=> @t403 (=> @t395 (=> @t350 (=> @t346 (=> @t345 (=> @t344 @t443)))))))))))))))) @t440))) % 169.03/169.96 (step @p71 :rule bool-impl-true2 :args (@t443)) % 169.03/169.96 (step @p72 :rule refl :args (@t344)) % 169.03/169.96 (step @p73 :rule cong :premises (@p72 @p71) :args (@t444)) % 169.03/169.96 (step @p74 :rule refl :args (@t345)) % 169.03/169.96 (step @p75 :rule cong :premises (@p74 @p73) :args (@t445)) % 169.03/169.96 (step @p76 :rule refl :args (@t346)) % 169.03/169.96 (step @p77 :rule cong :premises (@p76 @p75) :args (@t446)) % 169.03/169.96 (step @p78 :rule refl :args (@t350)) % 169.03/169.96 (step @p79 :rule cong :premises (@p78 @p77) :args (@t447)) % 169.03/169.96 (step @p80 :rule refl :args (@t395)) % 169.03/169.96 (step @p81 :rule cong :premises (@p80 @p79) :args (@t448)) % 169.03/169.96 (step @p82 :rule refl :args (@t403)) % 169.03/169.96 (step @p83 :rule cong :premises (@p82 @p81) :args (@t449)) % 169.03/169.96 (step @p84 :rule refl :args (@t413)) % 169.03/169.96 (step @p85 :rule cong :premises (@p84 @p83) :args (@t450)) % 169.03/169.96 (step @p86 :rule refl :args (@t425)) % 169.03/169.96 (step @p87 :rule cong :premises (@p86 @p85) :args (@t451)) % 169.03/169.96 (step @p88 :rule refl :args (@t427)) % 169.03/169.96 (step @p89 :rule cong :premises (@p88 @p87) :args (@t452)) % 169.03/169.96 (step @p90 :rule refl :args (@t48)) % 169.03/169.96 (step @p91 :rule cong :premises (@p90 @p89) :args (@t453)) % 169.03/169.96 (step @p92 :rule refl :args (@t431)) % 169.03/169.96 (step @p93 :rule cong :premises (@p92 @p91) :args (@t454)) % 169.03/169.96 (step @p94 :rule refl :args (@t434)) % 169.03/169.96 (step @p95 :rule cong :premises (@p94 @p93) :args (@t455)) % 169.03/169.96 (step @p96 :rule refl :args (@t437)) % 169.03/169.96 (step @p97 :rule cong :premises (@p96 @p95) :args (@t456)) % 169.03/169.96 (step @p98 :rule refl :args (@t339)) % 169.03/169.96 (step @p99 :rule cong :premises (@p98 @p97) :args (@t457)) % 169.03/169.96 (step @p100 :rule refl :args (@t439)) % 169.03/169.96 (step @p101 :rule cong :premises (@p100 @p99) :args (@t458)) % 169.03/169.96 (step @p102 :rule cong :premises (@p101) :args ((not @t458))) % 169.03/169.96 (step @p103 :rule refl :args (@t330)) % 169.03/169.96 (step @p104 :rule eq-symm :args (@t228 @t19)) % 169.03/169.96 (step @p105 :rule refl :args (@t332)) % 169.03/169.96 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t459)) % 169.03/169.96 (step @p107 :rule cong :premises (@p106) :args (@t460)) % 169.03/169.96 (step @p108 :rule cong :premises (@p107) :args (@t461)) % 169.03/169.96 (step @p109 :rule refl :args (@t333)) % 169.03/169.96 (step @p110 :rule refl :args (@t336)) % 169.03/169.96 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args (@t462)) % 169.03/169.96 (step @p112 :rule aci_norm :args ((= @t464 @t462))) % 169.03/169.96 (step @p113 :rule trans :premises (@p112 @p111)) % 169.03/169.96 (step @p114 :rule cong :premises (@p113) :args (@t465)) % 169.03/169.96 (step @p115 :rule quant-merge-prenex :args ((= (forall @t148 @t467) @t465))) % 169.03/169.96 (step @p116 :rule refl :args (@t336)) % 169.03/169.96 (step @p117 :rule alpha_equiv :args (@t468 (@list @t228) @t469)) % 169.03/169.96 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t470)) % 169.03/169.96 (step @p119 :rule quant-miniscope-or :args ((= @t467 @t470))) % 169.03/169.96 (step @p120 :rule trans :premises (@p119 @p118)) % 169.03/169.96 (step @p121 :rule symm :premises (@p120)) % 169.03/169.96 (step @p122 :rule cong :premises (@p121) :args ((forall @t148 (or @t473 @t336)))) % 169.03/169.96 (step @p123 :rule trans :premises (@p122 @p115)) % 169.03/169.96 (step @p124 :rule trans :premises (@p123 @p114)) % 169.03/169.96 (step @p125 :rule bool-double-not-elim :args (@t473)) % 169.03/169.96 (step @p126 :rule nary_cong :premises (@p125 @p116) :args ((or @t475 @t336))) % 169.03/169.96 (step @p127 :rule bool-impl-elim :args (@t474 @t336)) % 169.03/169.96 (step @p128 :rule trans :premises (@p127 @p126)) % 169.03/169.96 (step @p129 :rule cong :premises (@p128) :args ((forall @t148 (=> @t474 @t336)))) % 169.03/169.96 (step @p130 :rule trans :premises (@p129 @p124)) % 169.03/169.96 (step @p131 :rule refl :args (@t334)) % 169.03/169.96 (step @p132 :rule refl :args (@t142)) % 169.03/169.96 (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t142 @t334))) % 169.03/169.96 (step @p134 :rule symm :premises (@p133)) % 169.03/169.96 (step @p135 :rule eq_resolve :premises (@p132 @p134)) % 169.03/169.96 (step @p136 :rule cong :premises (@p135) :args (@t476)) % 169.03/169.96 (step @p137 :rule cong :premises (@p136) :args (@t477)) % 169.03/169.96 (step @p138 :rule cong :premises (@p137) :args (@t478)) % 169.03/169.96 (step @p139 :rule exists-elim :args ((= @t182 @t478))) % 169.03/169.96 (step @p140 :rule trans :premises (@p139 @p138)) % 169.03/169.96 (step @p141 :rule refl :args (@t472)) % 169.03/169.96 (step @p142 :rule nary_cong :premises (@p136 @p141) :args (@t479)) % 169.03/169.96 (step @p143 :rule cong :premises (@p142) :args ((forall @t9 @t479))) % 169.03/169.96 (step @p144 :rule refl :args (@t127)) % 169.03/169.96 (step @p145 :rule refl :args (@t331)) % 169.03/169.96 (step @p146 :rule refl :args (@t151)) % 169.03/169.96 (step @p147 :rule cong :premises (@p146 @p145) :args ((= @t151 @t331))) % 169.03/169.96 (step @p148 :rule symm :premises (@p147)) % 169.03/169.96 (step @p149 :rule eq_resolve :premises (@p146 @p148)) % 169.03/169.96 (step @p150 :rule cong :premises (@p149) :args (@t480)) % 169.03/169.96 (step @p151 :rule nary_cong :premises (@p150 @p144) :args (@t481)) % 169.03/169.96 (step @p152 :rule cong :premises (@p151) :args ((forall @t68 @t481))) % 169.03/169.96 (step @p153 :rule beta-reduce :args ((= @t482 @t151))) % 169.03/169.96 (step @p154 :rule cong :premises (@p153) :args (@t483)) % 169.03/169.96 (step @p155 :rule nary_cong :premises (@p154 @p29) :args (@t484)) % 169.03/169.96 (step @p156 :rule cong :premises (@p155) :args (@t485)) % 169.03/169.96 (step @p157 :rule trans :premises (@p156 @p152)) % 169.03/169.96 (step @p158 :rule cong :premises (@p157) :args (@t486)) % 169.03/169.96 (step @p159 :rule beta-reduce :args ((= @t487 @t142))) % 169.03/169.96 (step @p160 :rule cong :premises (@p159) :args (@t488)) % 169.03/169.96 (step @p161 :rule nary_cong :premises (@p160 @p158) :args (@t489)) % 169.03/169.96 (step @p162 :rule cong :premises (@p161) :args (@t490)) % 169.03/169.96 (step @p163 :rule trans :premises (@p162 @p143)) % 169.03/169.96 (step @p164 :rule cong :premises (@p163) :args (@t491)) % 169.03/169.96 (step @p165 :rule beta-reduce :args ((= @t493 @t491))) % 169.03/169.96 (step @p166 :rule trans :premises (@p165 @p164)) % 169.03/169.96 (step @p167 :rule cong :premises (@p166 @p140) :args (@t494)) % 169.03/169.96 (step @p168 :rule cong :premises (@p167) :args (@t495)) % 169.03/169.96 (step @p169 :rule trans :premises (@p168 @p130)) % 169.03/169.96 (step @p170 :rule refl :args (tptp.exuE3e)) % 169.03/169.96 (step @p171 :rule cong :premises (@p170 @p169) :args ((= tptp.exuE3e @t495))) % 169.03/169.96 (step @p172 :rule refl :args (@t182)) % 169.03/169.96 (step @p173 :rule refl :args (@t143)) % 169.03/169.96 (step @p174 :rule bool-and-de-morgan :args (@t142 @t471 true)) % 169.03/169.96 (step @p175 :rule cong :premises (@p174) :args (@t497)) % 169.03/169.96 (step @p176 :rule trans :premises (@p175 @p143)) % 169.03/169.96 (step @p177 :rule cong :premises (@p176) :args (@t498)) % 169.03/169.96 (step @p178 :rule exists-elim :args ((= (exists @t9 @t496) @t498))) % 169.03/169.96 (step @p179 :rule trans :premises (@p178 @p177)) % 169.03/169.96 (step @p180 :rule bool-impl-elim :args (@t151 @t127)) % 169.03/169.96 (step @p181 :rule cong :premises (@p180) :args (@t164)) % 169.03/169.96 (step @p182 :rule trans :premises (@p181 @p152)) % 169.03/169.96 (step @p183 :rule refl :args (@t142)) % 169.03/169.96 (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t165)) % 169.03/169.96 (step @p185 :rule cong :premises (@p184) :args (@t166)) % 169.03/169.96 (step @p186 :rule trans :premises (@p185 @p179)) % 169.03/169.96 (step @p187 :rule cong :premises (@p186) :args (@t212)) % 169.03/169.96 (step @p188 :rule trans :premises (@p24 @p187)) % 169.03/169.96 (step @p189 :rule ho_cong :premises (@p188 @p173)) % 169.03/169.96 (step @p190 :rule cong :premises (@p189 @p172) :args (@t183)) % 169.03/169.96 (step @p191 :rule cong :premises (@p190) :args (@t184)) % 169.03/169.96 (step @p192 :rule cong :premises (@p170 @p191) :args (@t185)) % 169.03/169.96 (step @p193 :rule trans :premises (@p192 @p171)) % 169.03/169.96 (step @p194 :rule eq_resolve :premises (@p21 @p193)) % 169.03/169.96 (step @p195 :rule cong :premises (@p194 @p103) :args (@t499)) % 169.03/169.96 (step @p196 :rule eq-symm :args (@t339 tptp.notinemptyset)) % 169.03/169.96 (step @p197 :rule refl :args (tptp.notinemptyset)) % 169.03/169.96 (step @p198 :rule refl :args (@t338)) % 169.03/169.96 (step @p199 :rule refl :args (@t15)) % 169.03/169.96 (step @p200 :rule cong :premises (@p199 @p198) :args ((= @t15 @t338))) % 169.03/169.96 (step @p201 :rule symm :premises (@p200)) % 169.03/169.96 (step @p202 :rule eq_resolve :premises (@p199 @p201)) % 169.03/169.96 (step @p203 :rule cong :premises (@p202) :args (@t16)) % 169.03/169.96 (step @p204 :rule cong :premises (@p203) :args (@t17)) % 169.03/169.96 (step @p205 :rule cong :premises (@p204 @p197) :args ((= @t17 tptp.notinemptyset))) % 169.03/169.96 (step @p206 :rule trans :premises (@p205 @p196)) % 169.03/169.96 (step @p207 :rule eq-symm :args (tptp.notinemptyset @t17)) % 169.03/169.96 (step @p208 :rule trans :premises (@p207 @p206)) % 169.03/169.96 (step @p209 :rule eq_resolve :premises (@p20 @p208)) % 169.03/169.96 (step @p210 :rule cong :premises (@p209 @p195) :args (@t500)) % 169.03/169.96 (step @p211 :rule bool-impl-false1 :args (@t15)) % 169.03/169.96 (step @p212 :rule cong :premises (@p211) :args (@t180)) % 169.03/169.96 (step @p213 :rule trans :premises (@p212 @p204)) % 169.03/169.96 (step @p214 :rule refl :args (tptp.emptysetimpfalse)) % 169.03/169.96 (step @p215 :rule cong :premises (@p214 @p213) :args (@t181)) % 169.03/169.96 (step @p216 :rule eq_resolve :premises (@p19 @p215)) % 169.03/169.96 (step @p217 :rule cong :premises (@p216 @p210) :args (@t501)) % 169.03/169.96 (step @p218 :rule quant-var-elim-eq :args ((= (forall @t175 (or @t502 @t170)) false))) % 169.03/169.96 (step @p219 :rule refl :args (@t170)) % 169.03/169.96 (step @p220 :rule bool-eq-false :args (@t170)) % 169.03/169.96 (step @p221 :rule symm :premises (@p220)) % 169.03/169.96 (step @p222 :rule cong :premises (@p221) :args ((not (not @t170)))) % 169.03/169.96 (step @p223 :rule bool-double-not-elim :args (@t170)) % 169.03/169.96 (step @p224 :rule symm :premises (@p223)) % 169.03/169.96 (step @p225 :rule trans :premises (@p224 @p222)) % 169.03/169.96 (step @p226 :rule nary_cong :premises (@p225 @p219) :args (@t503)) % 169.03/169.96 (step @p227 :rule aci_norm :args ((= @t170 @t503))) % 169.03/169.96 (step @p228 :rule trans :premises (@p227 @p226)) % 169.03/169.96 (step @p229 :rule cong :premises (@p228) :args (@t176)) % 169.03/169.96 (step @p230 :rule trans :premises (@p229 @p218)) % 169.03/169.96 (step @p231 :rule refl :args (@t15)) % 169.03/169.96 (step @p232 :rule cong :premises (@p231 @p230) :args (@t177)) % 169.03/169.96 (step @p233 :rule trans :premises (@p232 @p211)) % 169.03/169.96 (step @p234 :rule cong :premises (@p233) :args (@t178)) % 169.03/169.96 (step @p235 :rule trans :premises (@p234 @p204)) % 169.03/169.96 (step @p236 :rule refl :args (tptp.emptysetE)) % 169.03/169.96 (step @p237 :rule cong :premises (@p236 @p235) :args (@t179)) % 169.03/169.96 (step @p238 :rule eq_resolve :premises (@p18 @p237)) % 169.03/169.96 (step @p239 :rule cong :premises (@p238 @p217) :args (@t504)) % 169.03/169.96 (step @p240 :rule refl :args (@t442)) % 169.03/169.96 (step @p241 :rule symm :premises (@p240)) % 169.03/169.96 (step @p242 :rule alpha_equiv :args (@t507 @t508 (@list @t441))) % 169.03/169.96 (step @p243 :rule trans :premises (@p242 @p241)) % 169.03/169.96 (step @p244 :rule refl :args (@t341)) % 169.03/169.96 (step @p245 :rule cong :premises (@p244 @p243) :args (@t509)) % 169.03/169.96 (step @p246 :rule refl :args (@t4)) % 169.03/169.96 (step @p247 :rule cong :premises (@p246 @p245) :args (@t510)) % 169.03/169.96 (step @p248 :rule cong :premises (@p247) :args (@t511)) % 169.03/169.96 (step @p249 :rule aci_norm :args ((= @t512 @t511))) % 169.03/169.96 (step @p250 :rule trans :premises (@p249 @p248)) % 169.03/169.96 (step @p251 :rule cong :premises (@p250) :args ((forall @t9 @t512))) % 169.03/169.96 (step @p252 :rule quant-var-elim-eq :args ((= (forall @t175 (or @t502 @t516 @t170)) @t512))) % 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not_implies_elim2 :premises (@p1208)) % 169.03/169.96 (step @p1210 :rule not_implies_elim2 :premises (@p1209)) % 169.03/169.96 (step @p1211 :rule not_implies_elim2 :premises (@p1210)) % 169.03/169.96 (step @p1212 :rule not_implies_elim2 :premises (@p1211)) % 169.03/169.96 (step @p1213 :rule not_implies_elim2 :premises (@p1212)) % 169.03/169.96 (step @p1214 :rule not_implies_elim2 :premises (@p1213)) % 169.03/169.96 (step @p1215 :rule not_implies_elim2 :premises (@p1214)) % 169.03/169.96 (step @p1216 :rule not_implies_elim2 :premises (@p1215)) % 169.03/169.96 (step @p1217 :rule not_implies_elim2 :premises (@p1216)) % 169.03/169.96 (step @p1218 :rule not_implies_elim2 :premises (@p1217)) % 169.03/169.96 (step @p1219 :rule not_implies_elim2 :premises (@p1218)) % 169.03/169.96 (step @p1220 :rule not_implies_elim2 :premises (@p1219)) % 169.03/169.96 (step @p1221 :rule not_implies_elim2 :premises (@p1220)) % 169.03/169.96 (step @p1222 :rule not_implies_elim2 :premises (@p1221)) % 169.03/169.96 (step @p1223 :rule not_implies_elim2 :premises (@p1222)) % 169.03/169.96 (step @p1224 :rule not_implies_elim2 :premises (@p1223)) % 169.03/169.96 (step @p1225 :rule not_implies_elim2 :premises (@p1224)) % 169.03/169.96 (step @p1226 :rule not_implies_elim2 :premises (@p1225)) % 169.03/169.96 (step @p1227 :rule skolemize :premises (@p1226)) % 169.03/169.96 (step @p1228 :rule bool-double-not-elim :args (@t726)) % 169.03/169.96 (step @p1229 :rule refl :args (@t731)) % 169.03/169.96 (step @p1230 :rule nary_cong :premises (@p1229 @p1228) :args ((or @t731 (not @t728)))) % 169.03/169.96 (step @p1231 :rule cnf_or_neg :args (@t731 1)) % 169.03/169.96 (step @p1232 :rule eq_resolve :premises (@p1231 @p1230)) % 169.03/169.96 (step @p1233 :rule reordering :premises (@p1232) :args ((or @t726 @t731))) % 169.03/169.96 (step @p1234 :rule chain_m_resolution :premises (@p1233 @p1227) :args (@t726 @t732 @t733)) % 169.03/169.96 (step @p1235 :rule not_implies_elim1 :premises (@p1206)) % 169.03/169.96 (step @p1236 :rule eq-symm :args (@t724 @t722)) % 169.03/169.96 (step @p1237 :rule eq-symm :args (@t725 @t723)) % 169.03/169.96 (step @p1238 :rule cong :premises (@p1237) :args (@t734)) % 169.03/169.96 (step @p1239 :rule cong :premises (@p1238) :args (@t735)) % 169.03/169.96 (step @p1240 :rule nary_cong :premises (@p1239 @p1236) :args (@t736)) % 169.03/169.96 (step @p1241 :rule cong :premises (@p66 @p1240) :args ((=> @t318 @t736))) % 169.03/169.96 (assume-push @p1278 @t318) % 169.03/169.96 (step @p1243 :rule instantiate :premises (@p1235) :args ((@list @t724 @t722))) % 169.03/169.96 (step-pop @p1279 :rule scope :premises (@p1243)) % 169.03/169.96 (step @p1244 :rule process_scope :premises (@p1279) :args (@t736)) % 169.03/169.96 (step @p1246 :rule eq_resolve :premises (@p1244 @p1241)) % 169.03/169.96 (step @p1247 :rule implies_elim :premises (@p1246)) % 169.03/169.96 (step @p1248 :rule chain_m_resolution :premises (@p1247 @p1235) :args (@t739 (@list false) (@list @t318))) % 169.03/169.96 (step @p1249 :rule cnf_or_neg :args (@t731 2)) % 169.03/169.96 (step @p1250 :rule chain_m_resolution :premises (@p1249 @p1227) :args ((not @t727) @t732 @t733)) % 169.03/169.96 (step @p1251 :rule cnf_or_pos :args (@t739)) % 169.03/169.96 (step @p1252 :rule reordering :premises (@p1251) :args ((or @t727 @t738 (not @t739)))) % 169.03/169.96 (step @p1253 :rule chain_m_resolution :premises (@p1252 @p1250 @p1248) :args (@t738 @t740 (@list @t727 @t739))) % 169.03/169.96 (step @p1254 :rule skolemize :premises (@p1253)) % 169.03/169.96 (step @p1255 :rule cnf_equiv_neg2 :args (@t745)) % 169.03/169.96 (step @p1256 :rule bool-double-not-elim :args (@t729)) % 169.03/169.96 (step @p1257 :rule nary_cong :premises (@p1229 @p1256) :args ((or @t731 (not @t730)))) % 169.03/169.96 (step @p1258 :rule cnf_or_neg :args (@t731 0)) % 169.03/169.96 (step @p1259 :rule eq_resolve :premises (@p1258 @p1257)) % 169.03/169.96 (step @p1260 :rule reordering :premises (@p1259) :args ((or @t729 @t731))) % 169.03/169.96 (step @p1261 :rule chain_m_resolution :premises (@p1260 @p1227) :args (@t729 @t732 @t733)) % 169.03/169.96 (step @p1262 :rule instantiate :premises (@p1261) :args (@t746)) % 169.03/169.96 (step @p1263 :rule cnf_or_pos :args (@t748)) % 169.03/169.96 (step @p1264 :rule reordering :premises (@p1263) :args ((or @t743 @t747 (not @t748)))) % 169.03/169.96 (step @p1265 :rule chain_m_resolution :premises (@p1264 @p1262 @p1255 @p1254) :args (@t747 (@list false true true) (@list @t748 @t743 @t745))) % 169.03/169.96 (step @p1266 :rule cnf_equiv_neg1 :args (@t745)) % 169.03/169.96 (step @p1267 :rule reordering :premises (@p1266) :args ((or @t744 @t743 @t745))) % 169.03/169.96 (step @p1268 :rule chain_m_resolution :premises (@p1267 @p1265 @p1254) :args (@t743 (@list true true) (@list @t744 @t745))) % 169.03/169.96 (step @p1269 :rule cnf_or_pos :args (@t750)) % 169.03/169.96 (step @p1270 :rule reordering :premises (@p1269) :args ((or @t744 @t749 @t751))) % 169.03/169.96 (step @p1271 :rule chain_m_resolution :premises (@p1270 @p1265 @p1268) :args (@t751 @t740 (@list @t744 @t743))) % 169.03/169.96 (assume-push @p1280 @t726) % 169.03/169.96 (step @p1273 :rule instantiate :premises (@p1234) :args (@t746)) % 169.03/169.96 (step-pop @p1281 :rule scope :premises (@p1273)) % 169.03/169.96 (step @p1274 :rule process_scope :premises (@p1281) :args (@t750)) % 169.03/169.96 (step @p1276 :rule implies_elim :premises (@p1274)) % 169.03/169.96 (step @p1277 false :rule chain_m_resolution :premises (@p1276 @p1271 @p1234) :args (false @t740 (@list @t750 @t726))) % 169.03/169.96 ) % 169.03/169.96 % SZS output end Proof % 169.03/169.96 % cvc5 exiting %------------------------------------------------------------------------------