%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG092+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:45:39 AM UTC 2026 % Result : Theorem 15.41s 15.64s % Output : Proof 15.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG092+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n023.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:07:43 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.41/15.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.64 --- Run --no-e-matching --full-saturate-quant at 6... % 15.41/15.64 % SZS status Theorem % 15.41/15.64 % SZS output start Proof % 15.41/15.64 ( % 15.41/15.64 (declare-sort $$unsorted 0) % 15.41/15.64 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 15.41/15.64 (declare-const tptp.xJ $$unsorted) % 15.41/15.64 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 15.41/15.64 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 15.41/15.64 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.41/15.64 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 15.41/15.64 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.41/15.64 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.41/15.64 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 15.41/15.64 (declare-const tptp.sz10 $$unsorted) % 15.41/15.64 (declare-const tptp.xI $$unsorted) % 15.41/15.64 (declare-const tptp.sz00 $$unsorted) % 15.41/15.64 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 15.41/15.64 (define @t1 () (@var "W0" $$unsorted)) % 15.41/15.64 (define @t2 () (tptp.aElement0 @t1)) % 15.41/15.64 (define @t3 () (@list @t1)) % 15.41/15.64 (define @t4 () (tptp.aElement0 tptp.sz00)) % 15.41/15.64 (define @t5 () (tptp.smndt0 @t1)) % 15.41/15.64 (define @t6 () (@var "W1" $$unsorted)) % 15.41/15.64 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 15.41/15.64 (define @t8 () (tptp.aElement0 @t6)) % 15.41/15.64 (define @t9 () (and @t2 @t8)) % 15.41/15.64 (define @t10 () (@list @t1 @t6)) % 15.41/15.64 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 15.41/15.64 (define @t12 () (@var "W2" $$unsorted)) % 15.41/15.64 (define @t13 () (tptp.sdtpldt0 @t6 @t12)) % 15.41/15.64 (define @t14 () (tptp.aElement0 @t12)) % 15.41/15.64 (define @t15 () (and @t2 @t8 @t14)) % 15.41/15.64 (define @t16 () (@list @t1 @t6 @t12)) % 15.41/15.64 (define @t17 () (tptp.sdtasdt0 @t6 @t1)) % 15.41/15.64 (define @t18 () (tptp.sdtasdt0 @t12 @t1)) % 15.41/15.64 (define @t19 () (tptp.smndt0 tptp.sz10)) % 15.41/15.64 (define @t20 () (tptp.aSet0 @t1)) % 15.41/15.64 (define @t21 () (tptp.aElementOf0 @t6 @t1)) % 15.41/15.64 (define @t22 () (@list @t6)) % 15.41/15.64 (define @t23 () (tptp.aElementOf0 @t12 @t1)) % 15.41/15.64 (define @t24 () (tptp.aElementOf0 @t12 @t6)) % 15.41/15.64 (define @t25 () (@list @t12)) % 15.41/15.64 (define @t26 () (and @t20 (tptp.aSet0 @t6))) % 15.41/15.64 (define @t27 () (@var "W3" $$unsorted)) % 15.41/15.64 (define @t28 () (@var "W5" $$unsorted)) % 15.41/15.64 (define @t29 () (@var "W4" $$unsorted)) % 15.41/15.64 (define @t30 () (tptp.aElementOf0 @t27 @t12)) % 15.41/15.64 (define @t31 () (@list @t27)) % 15.41/15.64 (define @t32 () (tptp.aSet0 @t12)) % 15.41/15.64 (define @t33 () (tptp.aElementOf0 @t6 tptp.xI)) % 15.41/15.64 (define @t34 () (tptp.sdtpldt1 tptp.xI tptp.xJ)) % 15.41/15.64 (define @t35 () (tptp.aIdeal0 @t34)) % 15.41/15.64 (define @t36 () (tptp.aElementOf0 @t17 @t34)) % 15.41/15.64 (define @t37 () (forall @t22 (=> @t8 @t36))) % 15.41/15.64 (define @t38 () (tptp.aElementOf0 @t7 @t34)) % 15.41/15.64 (define @t39 () (tptp.aElementOf0 @t6 @t34)) % 15.41/15.64 (define @t40 () (forall @t22 (=> @t39 @t38))) % 15.41/15.64 (define @t41 () (and @t40 @t37)) % 15.41/15.64 (define @t42 () (tptp.aElementOf0 @t1 @t34)) % 15.41/15.64 (define @t43 () (=> @t42 @t41)) % 15.41/15.64 (define @t44 () (forall @t3 @t43)) % 15.41/15.64 (define @t45 () (or @t44 @t35)) % 15.41/15.64 (define @t46 () (tptp.aElementOf0 @t12 tptp.xJ)) % 15.41/15.64 (define @t47 () (and @t33 @t46 (= @t13 @t1))) % 15.41/15.64 (define @t48 () (@list @t6 @t12)) % 15.41/15.64 (define @t49 () (exists @t48 @t47)) % 15.41/15.64 (define @t50 () (= @t42 @t49)) % 15.41/15.64 (define @t51 () (forall @t3 @t50)) % 15.41/15.64 (define @t52 () (tptp.aSet0 @t34)) % 15.41/15.64 (define @t53 () (and @t52 @t51)) % 15.41/15.64 (define @t54 () (=> @t53 @t45)) % 15.41/15.64 (define @t55 () (tptp.aElementOf0 @t18 @t34)) % 15.41/15.64 (define @t56 () (@var "W8" $$unsorted)) % 15.41/15.64 (define @t57 () (@var "W7" $$unsorted)) % 15.41/15.64 (define @t58 () (tptp.sdtpldt0 @t57 @t56)) % 15.41/15.64 (define @t59 () (tptp.aElementOf0 @t56 tptp.xJ)) % 15.41/15.64 (define @t60 () (tptp.aElementOf0 @t57 tptp.xI)) % 15.41/15.64 (define @t61 () (and @t60 @t59 (= @t58 @t18))) % 15.41/15.64 (define @t62 () (@list @t57 @t56)) % 15.41/15.64 (define @t63 () (exists @t62 @t61)) % 15.41/15.64 (define @t64 () (and @t60 @t59 (= @t58 @t7))) % 15.41/15.64 (define @t65 () (exists @t62 @t64)) % 15.41/15.64 (define @t66 () (@var "W6" $$unsorted)) % 15.41/15.64 (define @t67 () (tptp.sdtpldt0 @t29 @t66)) % 15.41/15.64 (define @t68 () (tptp.sdtpldt0 @t27 @t28)) % 15.41/15.64 (define @t69 () (= @t7 (tptp.sdtpldt0 @t68 @t67))) % 15.41/15.64 (define @t70 () (tptp.aElementOf0 (tptp.sdtasdt0 @t12 @t29) tptp.xJ)) % 15.41/15.64 (define @t71 () (tptp.aElementOf0 (tptp.sdtasdt0 @t12 @t27) tptp.xI)) % 15.41/15.64 (define @t72 () (tptp.aElementOf0 @t67 tptp.xJ)) % 15.41/15.64 (define @t73 () (tptp.aElementOf0 @t68 tptp.xI)) % 15.41/15.64 (define @t74 () (= @t6 (tptp.sdtpldt0 @t28 @t66))) % 15.41/15.64 (define @t75 () (tptp.aElementOf0 @t66 tptp.xJ)) % 15.41/15.64 (define @t76 () (tptp.aElementOf0 @t28 tptp.xI)) % 15.41/15.64 (define @t77 () (and @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t65 @t38 @t63 @t55)) % 15.41/15.64 (define @t78 () (@list @t28 @t66)) % 15.41/15.64 (define @t79 () (exists @t78 @t77)) % 15.41/15.64 (define @t80 () (tptp.sdtpldt0 @t27 @t29)) % 15.41/15.64 (define @t81 () (= @t1 @t80)) % 15.41/15.64 (define @t82 () (tptp.aElementOf0 @t29 tptp.xJ)) % 15.41/15.64 (define @t83 () (tptp.aElementOf0 @t27 tptp.xI)) % 15.41/15.64 (define @t84 () (and @t83 @t82 @t81 @t79)) % 15.41/15.64 (define @t85 () (@list @t27 @t29)) % 15.41/15.64 (define @t86 () (exists @t85 @t84)) % 15.41/15.64 (define @t87 () (and @t83 @t82 (= @t80 @t6))) % 15.41/15.64 (define @t88 () (exists @t85 @t87)) % 15.41/15.64 (define @t89 () (or @t88 @t39)) % 15.41/15.64 (define @t90 () (and @t83 @t82 (= @t80 @t1))) % 15.41/15.64 (define @t91 () (exists @t85 @t90)) % 15.41/15.64 (define @t92 () (or @t91 @t42)) % 15.41/15.64 (define @t93 () (and @t92 @t89 @t14)) % 15.41/15.64 (define @t94 () (=> @t93 @t86)) % 15.41/15.64 (define @t95 () (forall @t16 @t94)) % 15.41/15.64 (define @t96 () (=> @t95 @t54)) % 15.41/15.64 (define @t97 () (not @t96)) % 15.41/15.64 (define @t98 () (@var "BOUND_VARIABLE_8159" $$unsorted)) % 15.41/15.64 (define @t99 () (or (not (tptp.aElement0 @t98)) (tptp.aElementOf0 (tptp.sdtasdt0 @t98 @t1) @t34))) % 15.41/15.64 (define @t100 () (@var "BOUND_VARIABLE_8152" $$unsorted)) % 15.41/15.64 (define @t101 () (or (not (tptp.aElementOf0 @t100 @t34)) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 @t100) @t34))) % 15.41/15.64 (define @t102 () (and @t101 @t99)) % 15.41/15.64 (define @t103 () (not @t42)) % 15.41/15.64 (define @t104 () (or @t103 @t102)) % 15.41/15.64 (define @t105 () (forall (@list @t1 @t100 @t98) @t104)) % 15.41/15.64 (define @t106 () (@list @t100 @t98)) % 15.41/15.64 (define @t107 () (forall @t106 @t104)) % 15.41/15.64 (define @t108 () (forall (@list @t98) @t99)) % 15.41/15.64 (define @t109 () (@list @t6)) % 15.41/15.64 (define @t110 () (forall @t106 @t99)) % 15.41/15.64 (define @t111 () (forall (@list @t100) @t101)) % 15.41/15.64 (define @t112 () (forall @t106 @t101)) % 15.41/15.64 (define @t113 () (and @t112 @t110)) % 15.41/15.64 (define @t114 () (forall @t106 @t102)) % 15.41/15.64 (define @t115 () (or @t103 @t114)) % 15.41/15.64 (define @t116 () (not @t39)) % 15.41/15.64 (define @t117 () (and (forall @t22 (or @t116 @t38)) (forall @t22 (or (not @t8) @t36)))) % 15.41/15.64 (define @t118 () (= @t1 @t13)) % 15.41/15.64 (define @t119 () (not @t118)) % 15.41/15.64 (define @t120 () (not @t46)) % 15.41/15.64 (define @t121 () (not @t33)) % 15.41/15.64 (define @t122 () (and @t33 @t46 @t118)) % 15.41/15.64 (define @t123 () (forall @t48 (not @t122))) % 15.41/15.64 (define @t124 () (not @t123)) % 15.41/15.64 (define @t125 () (@var "BOUND_VARIABLE_8060" $$unsorted)) % 15.41/15.64 (define @t126 () (tptp.sdtpldt0 @t29 @t125)) % 15.41/15.64 (define @t127 () (@var "BOUND_VARIABLE_8058" $$unsorted)) % 15.41/15.64 (define @t128 () (tptp.sdtpldt0 @t27 @t127)) % 15.41/15.64 (define @t129 () (tptp.sdtpldt0 @t128 @t126)) % 15.41/15.64 (define @t130 () (not (= @t7 @t129))) % 15.41/15.64 (define @t131 () (not (tptp.aElementOf0 @t126 tptp.xJ))) % 15.41/15.64 (define @t132 () (not (tptp.aElementOf0 @t128 tptp.xI))) % 15.41/15.64 (define @t133 () (tptp.sdtpldt0 @t127 @t125)) % 15.41/15.64 (define @t134 () (not (= @t6 @t133))) % 15.41/15.64 (define @t135 () (not (tptp.aElementOf0 @t125 tptp.xJ))) % 15.41/15.64 (define @t136 () (not (tptp.aElementOf0 @t127 tptp.xI))) % 15.41/15.64 (define @t137 () (not @t70)) % 15.41/15.64 (define @t138 () (not @t71)) % 15.41/15.64 (define @t139 () (not @t81)) % 15.41/15.64 (define @t140 () (not @t82)) % 15.41/15.64 (define @t141 () (not @t83)) % 15.41/15.64 (define @t142 () (or @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t131 @t130)) % 15.41/15.64 (define @t143 () (@list @t27 @t29 @t127 @t125)) % 15.41/15.64 (define @t144 () (forall @t143 @t142)) % 15.41/15.64 (define @t145 () (not @t144)) % 15.41/15.64 (define @t146 () (= @t18 @t58)) % 15.41/15.64 (define @t147 () (not @t146)) % 15.41/15.64 (define @t148 () (not @t59)) % 15.41/15.64 (define @t149 () (not @t60)) % 15.41/15.64 (define @t150 () (or @t149 @t148 @t147)) % 15.41/15.64 (define @t151 () (forall @t62 @t150)) % 15.41/15.64 (define @t152 () (not @t151)) % 15.41/15.64 (define @t153 () (= @t7 @t58)) % 15.41/15.64 (define @t154 () (not @t153)) % 15.41/15.64 (define @t155 () (or @t149 @t148 @t154)) % 15.41/15.64 (define @t156 () (forall @t62 @t155)) % 15.41/15.64 (define @t157 () (not @t156)) % 15.41/15.64 (define @t158 () (and @t157 @t38 @t152 @t55 @t145)) % 15.41/15.64 (define @t159 () (not @t14)) % 15.41/15.64 (define @t160 () (@var "BOUND_VARIABLE_8115" $$unsorted)) % 15.41/15.64 (define @t161 () (@var "BOUND_VARIABLE_8113" $$unsorted)) % 15.41/15.64 (define @t162 () (or (not (tptp.aElementOf0 @t161 tptp.xI)) (not (tptp.aElementOf0 @t160 tptp.xJ)) (not (= @t6 (tptp.sdtpldt0 @t161 @t160))))) % 15.41/15.64 (define @t163 () (and @t162 @t116)) % 15.41/15.64 (define @t164 () (@var "BOUND_VARIABLE_8102" $$unsorted)) % 15.41/15.64 (define @t165 () (@var "BOUND_VARIABLE_8100" $$unsorted)) % 15.41/15.64 (define @t166 () (or (not (tptp.aElementOf0 @t165 tptp.xI)) (not (tptp.aElementOf0 @t164 tptp.xJ)) (not (= @t1 (tptp.sdtpldt0 @t165 @t164))))) % 15.41/15.64 (define @t167 () (and @t166 @t103)) % 15.41/15.64 (define @t168 () (or @t167 @t163 @t159 @t158)) % 15.41/15.64 (define @t169 () (forall (@list @t1 @t6 @t12 @t165 @t164 @t161 @t160) @t168)) % 15.41/15.64 (define @t170 () (forall (@list @t165 @t164 @t161 @t160) @t168)) % 15.41/15.64 (define @t171 () (@list @t161 @t160)) % 15.41/15.64 (define @t172 () (forall @t171 @t116)) % 15.41/15.64 (define @t173 () (forall @t171 @t162)) % 15.41/15.64 (define @t174 () (@list @t27 @t29)) % 15.41/15.64 (define @t175 () (and @t173 @t172)) % 15.41/15.64 (define @t176 () (forall @t171 @t163)) % 15.41/15.64 (define @t177 () (@list @t165 @t164)) % 15.41/15.64 (define @t178 () (forall @t177 @t103)) % 15.41/15.64 (define @t179 () (forall @t177 @t166)) % 15.41/15.64 (define @t180 () (and @t179 @t178)) % 15.41/15.64 (define @t181 () (forall @t177 @t167)) % 15.41/15.64 (define @t182 () (or @t181 @t176 @t159 @t158)) % 15.41/15.64 (define @t183 () (= @t6 @t80)) % 15.41/15.64 (define @t184 () (not @t183)) % 15.41/15.64 (define @t185 () (or @t141 @t140 @t184)) % 15.41/15.64 (define @t186 () (forall @t85 @t185)) % 15.41/15.64 (define @t187 () (and @t186 @t116)) % 15.41/15.64 (define @t188 () (or @t141 @t140 @t139)) % 15.41/15.64 (define @t189 () (forall @t85 @t188)) % 15.41/15.64 (define @t190 () (and @t189 @t103)) % 15.41/15.64 (define @t191 () (or @t190 @t187 @t159 @t158)) % 15.41/15.64 (define @t192 () (not @t55)) % 15.41/15.64 (define @t193 () (not @t192)) % 15.41/15.64 (define @t194 () (not @t38)) % 15.41/15.64 (define @t195 () (not @t194)) % 15.41/15.64 (define @t196 () (and @t157 @t195 @t152 @t193 @t145)) % 15.41/15.64 (define @t197 () (not @t186)) % 15.41/15.64 (define @t198 () (not @t189)) % 15.41/15.64 (define @t199 () (or @t197 @t39)) % 15.41/15.64 (define @t200 () (not @t199)) % 15.41/15.64 (define @t201 () (or @t198 @t42)) % 15.41/15.64 (define @t202 () (not @t201)) % 15.41/15.64 (define @t203 () (or @t202 @t200 @t159)) % 15.41/15.64 (define @t204 () (not (or @t156 @t194 @t151 @t192 @t144))) % 15.41/15.64 (define @t205 () (and @t201 @t199 @t14)) % 15.41/15.64 (define @t206 () (or @t136 @t135 @t134 @t132 @t131 @t130)) % 15.41/15.64 (define @t207 () (or @t141 @t140 @t139 @t138 @t137 @t206)) % 15.41/15.64 (define @t208 () (forall @t143 @t207)) % 15.41/15.64 (define @t209 () (@list @t127 @t125)) % 15.41/15.64 (define @t210 () (forall @t209 @t207)) % 15.41/15.64 (define @t211 () (forall @t209 @t206)) % 15.41/15.64 (define @t212 () (or @t141 @t140 @t139 @t138 @t137 @t211)) % 15.41/15.64 (define @t213 () (not @t69)) % 15.41/15.64 (define @t214 () (not @t72)) % 15.41/15.64 (define @t215 () (not @t73)) % 15.41/15.64 (define @t216 () (not @t74)) % 15.41/15.64 (define @t217 () (not @t75)) % 15.41/15.64 (define @t218 () (not @t76)) % 15.41/15.64 (define @t219 () (or @t218 @t217 @t216 @t215 @t214 @t213)) % 15.41/15.64 (define @t220 () (forall @t78 @t219)) % 15.41/15.64 (define @t221 () (or @t141 @t140 @t139 @t138 @t137 @t220)) % 15.41/15.64 (define @t222 () (forall @t85 @t221)) % 15.41/15.64 (define @t223 () (or @t156 @t194 @t151 @t192 @t222)) % 15.41/15.64 (define @t224 () (or @t156 @t194 @t151 @t192 @t221)) % 15.41/15.64 (define @t225 () (or @t141 @t140 @t139 @t138 @t137 @t156 @t194 @t151 @t192 @t220)) % 15.41/15.64 (define @t226 () (or @t138 @t137 @t156 @t194 @t151 @t192 @t220)) % 15.41/15.64 (define @t227 () (not @t226)) % 15.41/15.64 (define @t228 () (not @t227)) % 15.41/15.64 (define @t229 () (or @t141 @t140 @t139 @t228)) % 15.41/15.64 (define @t230 () (and @t83 @t82 @t81 @t227)) % 15.41/15.64 (define @t231 () (forall @t85 (not @t230))) % 15.41/15.64 (define @t232 () (not @t231)) % 15.41/15.64 (define @t233 () (or @t138 @t137 @t156 @t194 @t151 @t192 @t219)) % 15.41/15.64 (define @t234 () (or @t218 @t217 @t216 @t215 @t214 @t138 @t137 @t213 @t156 @t194 @t151 @t192)) % 15.41/15.64 (define @t235 () (not @t152)) % 15.41/15.64 (define @t236 () (not @t157)) % 15.41/15.64 (define @t237 () (or @t218 @t217 @t216 @t215 @t214 @t138 @t137 @t213 @t236 @t194 @t235 @t192)) % 15.41/15.64 (define @t238 () (and @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t157 @t38 @t152 @t55)) % 15.41/15.64 (define @t239 () (forall @t78 (not @t238))) % 15.41/15.64 (define @t240 () (not @t239)) % 15.41/15.64 (define @t241 () (and @t60 @t59 @t146)) % 15.41/15.64 (define @t242 () (forall @t62 (not @t241))) % 15.41/15.64 (define @t243 () (not @t242)) % 15.41/15.64 (define @t244 () (and @t60 @t59 @t153)) % 15.41/15.64 (define @t245 () (forall @t62 (not @t244))) % 15.41/15.64 (define @t246 () (not @t245)) % 15.41/15.64 (define @t247 () (and @t83 @t82 @t183)) % 15.41/15.64 (define @t248 () (forall @t85 (not @t247))) % 15.41/15.64 (define @t249 () (not @t248)) % 15.41/15.64 (define @t250 () (and @t83 @t82 @t81)) % 15.41/15.64 (define @t251 () (forall @t85 (not @t250))) % 15.41/15.64 (define @t252 () (not @t251)) % 15.41/15.64 (define @t253 () (@quantifiers_skolemize @t105 1)) % 15.41/15.64 (define @t254 () (@quantifiers_skolemize @t105 0)) % 15.41/15.64 (define @t255 () (tptp.sdtpldt0 @t254 @t253)) % 15.41/15.64 (define @t256 () (not (= @t255 @t129))) % 15.41/15.64 (define @t257 () (not (= @t253 @t133))) % 15.41/15.64 (define @t258 () (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.sz00 @t29) tptp.xJ))) % 15.41/15.64 (define @t259 () (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.sz00 @t27) tptp.xI))) % 15.41/15.64 (define @t260 () (not (= @t254 @t80))) % 15.41/15.64 (define @t261 () (or @t141 @t140 @t260 @t259 @t258 @t136 @t135 @t257 @t132 @t131 @t256)) % 15.41/15.64 (define @t262 () (forall @t143 @t261)) % 15.41/15.64 (define @t263 () (not @t262)) % 15.41/15.64 (define @t264 () (tptp.sdtasdt0 tptp.sz00 @t254)) % 15.41/15.64 (define @t265 () (tptp.aElementOf0 @t264 @t34)) % 15.41/15.64 (define @t266 () (not (= @t264 @t58))) % 15.41/15.64 (define @t267 () (or @t149 @t148 @t266)) % 15.41/15.64 (define @t268 () (forall @t62 @t267)) % 15.41/15.64 (define @t269 () (not @t268)) % 15.41/15.64 (define @t270 () (tptp.aElementOf0 @t255 @t34)) % 15.41/15.64 (define @t271 () (not (= @t255 @t58))) % 15.41/15.64 (define @t272 () (or @t149 @t148 @t271)) % 15.41/15.64 (define @t273 () (forall @t62 @t272)) % 15.41/15.64 (define @t274 () (not @t273)) % 15.41/15.64 (define @t275 () (and @t274 @t270 @t269 @t265 @t263)) % 15.41/15.64 (define @t276 () (not @t4)) % 15.41/15.64 (define @t277 () (tptp.aElementOf0 @t253 @t34)) % 15.41/15.64 (define @t278 () (not @t277)) % 15.41/15.64 (define @t279 () (tptp.sdtpldt0 tptp.sz00 tptp.sz00)) % 15.41/15.64 (define @t280 () (not (tptp.aElementOf0 tptp.sz00 tptp.xJ))) % 15.41/15.64 (define @t281 () (not (tptp.aElementOf0 tptp.sz00 tptp.xI))) % 15.41/15.64 (define @t282 () (and (or @t281 @t280 (not (= @t253 @t279))) @t278)) % 15.41/15.64 (define @t283 () (tptp.aElementOf0 @t254 @t34)) % 15.41/15.64 (define @t284 () (not @t283)) % 15.41/15.64 (define @t285 () (and (or @t281 @t280 (not (= @t254 @t279))) @t284)) % 15.41/15.64 (define @t286 () (or @t285 @t282 @t276 @t275)) % 15.41/15.64 (define @t287 () (not (= @t80 @t254))) % 15.41/15.64 (define @t288 () (and (not (forall @t62 (or @t149 @t148 (not (= @t58 @t255))))) @t270 (not (forall @t62 (or @t149 @t148 (not (= @t58 @t264))))) @t265 (not (forall @t143 (or @t141 @t140 @t287 @t259 @t258 @t136 @t135 (not (= @t133 @t253)) @t132 @t131 (not (= @t129 @t255))))))) % 15.41/15.64 (define @t289 () (or @t285 @t282 @t276 @t288)) % 15.41/15.64 (define @t290 () (@list false)) % 15.41/15.64 (define @t291 () (@list @t169)) % 15.41/15.64 (define @t292 () (@quantifiers_skolemize @t105 2)) % 15.41/15.64 (define @t293 () (tptp.sdtasdt0 @t292 @t254)) % 15.41/15.64 (define @t294 () (tptp.aElementOf0 @t293 @t34)) % 15.41/15.64 (define @t295 () (tptp.aElement0 @t292)) % 15.41/15.64 (define @t296 () (not @t295)) % 15.41/15.64 (define @t297 () (or @t296 @t294)) % 15.41/15.64 (define @t298 () (or @t278 @t270)) % 15.41/15.64 (define @t299 () (and @t298 @t297)) % 15.41/15.64 (define @t300 () (or @t284 @t299)) % 15.41/15.64 (define @t301 () (@list true)) % 15.41/15.64 (define @t302 () (@list @t300)) % 15.41/15.64 (define @t303 () (not @t285)) % 15.41/15.64 (define @t304 () (tptp.sdtpldt0 @t254 @t254)) % 15.41/15.64 (define @t305 () (not (= @t304 @t129))) % 15.41/15.64 (define @t306 () (not (= @t254 @t133))) % 15.41/15.64 (define @t307 () (not (tptp.aElementOf0 (tptp.sdtasdt0 @t292 @t29) tptp.xJ))) % 15.41/15.64 (define @t308 () (not (tptp.aElementOf0 (tptp.sdtasdt0 @t292 @t27) tptp.xI))) % 15.41/15.64 (define @t309 () (or @t141 @t140 @t260 @t308 @t307 @t136 @t135 @t306 @t132 @t131 @t305)) % 15.41/15.64 (define @t310 () (forall @t143 @t309)) % 15.41/15.64 (define @t311 () (not @t310)) % 15.41/15.64 (define @t312 () (not (= @t293 @t58))) % 15.41/15.64 (define @t313 () (or @t149 @t148 @t312)) % 15.41/15.64 (define @t314 () (forall @t62 @t313)) % 15.41/15.64 (define @t315 () (not @t314)) % 15.41/15.64 (define @t316 () (tptp.aElementOf0 @t304 @t34)) % 15.41/15.64 (define @t317 () (not (= @t304 @t58))) % 15.41/15.64 (define @t318 () (or @t149 @t148 @t317)) % 15.41/15.64 (define @t319 () (forall @t62 @t318)) % 15.41/15.64 (define @t320 () (not @t319)) % 15.41/15.64 (define @t321 () (and @t320 @t316 @t315 @t294 @t311)) % 15.41/15.64 (define @t322 () (or @t285 @t285 @t296 @t321)) % 15.41/15.64 (define @t323 () (and (not (forall @t62 (or @t149 @t148 (not (= @t58 @t304))))) @t316 (not (forall @t62 (or @t149 @t148 (not (= @t58 @t293))))) @t294 (not (forall @t143 (or @t141 @t140 @t287 @t308 @t307 @t136 @t135 (not (= @t133 @t254)) @t132 @t131 (not (= @t129 @t304))))))) % 15.41/15.64 (define @t324 () (or @t285 @t285 @t296 @t323)) % 15.41/15.64 (define @t325 () (@list @t298)) % 15.41/15.64 (define @t326 () (not @t282)) % 15.41/15.64 (define @t327 () (not @t288)) % 15.41/15.64 (assume @p1 (forall @t3 (=> @t2 true))) % 15.41/15.64 (assume @p2 @t4) % 15.41/15.64 (assume @p3 (tptp.aElement0 tptp.sz10)) % 15.41/15.64 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t5)))) % 15.41/15.64 (assume @p5 (forall @t10 (=> @t9 (tptp.aElement0 @t7)))) % 15.41/15.64 (assume @p6 (forall @t10 (=> @t9 (tptp.aElement0 @t11)))) % 15.41/15.64 (assume @p7 (forall @t10 (=> @t9 (= @t7 (tptp.sdtpldt0 @t6 @t1))))) % 15.41/15.64 (assume @p8 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t7 @t12) (tptp.sdtpldt0 @t1 @t13))))) % 15.41/15.64 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 15.41/15.64 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t5) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1)))))) % 15.41/15.64 (assume @p11 (forall @t10 (=> @t9 (= @t11 @t17)))) % 15.41/15.64 (assume @p12 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t11 @t12) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t12)))))) % 15.41/15.64 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 15.41/15.64 (assume @p14 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t11 (tptp.sdtasdt0 @t1 @t12))) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t17 @t18)))))) % 15.41/15.64 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t19 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t19)))))) % 15.41/15.64 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 15.41/15.64 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or (= @t1 tptp.sz00) (= @t6 tptp.sz00)))))) % 15.41/15.64 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 15.41/15.64 (assume @p19 (forall @t3 (=> @t20 true))) % 15.41/15.64 (assume @p20 (forall @t3 (=> @t20 (forall @t22 (=> @t21 @t8))))) % 15.41/15.64 (assume @p21 (forall @t10 (=> @t26 (=> (and (forall @t25 (=> @t23 @t24)) (forall @t25 (=> @t24 @t23))) (= @t1 @t6))))) % 15.41/15.64 (assume @p22 (forall @t10 (=> @t26 (forall @t25 (= (= @t12 (tptp.sdtpldt1 @t1 @t6)) (and @t32 (forall @t31 (= @t30 (exists (@list @t29 @t28) (and (tptp.aElementOf0 @t29 @t1) (tptp.aElementOf0 @t28 @t6) (= (tptp.sdtpldt0 @t29 @t28) @t27))))))))))) % 15.41/15.64 (assume @p23 (forall @t10 (=> @t26 (forall @t25 (= (= @t12 (tptp.sdtasasdt0 @t1 @t6)) (and @t32 (forall @t31 (= @t30 (and (tptp.aElementOf0 @t27 @t1) (tptp.aElementOf0 @t27 @t6)))))))))) % 15.41/15.64 (assume @p24 (forall @t3 (= (tptp.aIdeal0 @t1) (and @t20 (forall @t22 (=> @t21 (and (forall @t25 (=> @t23 (tptp.aElementOf0 @t13 @t1))) (forall @t25 (=> @t14 (tptp.aElementOf0 (tptp.sdtasdt0 @t12 @t6) @t1)))))))))) % 15.41/15.64 (assume @p25 (and (tptp.aSet0 tptp.xI) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xI) (and (forall @t22 (=> @t33 (tptp.aElementOf0 @t7 tptp.xI))) (forall @t22 (=> @t8 (tptp.aElementOf0 @t17 tptp.xI)))))) (tptp.aIdeal0 tptp.xI) (tptp.aSet0 tptp.xJ) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xJ) (and (forall @t22 (=> (tptp.aElementOf0 @t6 tptp.xJ) (tptp.aElementOf0 @t7 tptp.xJ))) (forall @t22 (=> @t8 (tptp.aElementOf0 @t17 tptp.xJ)))))) (tptp.aIdeal0 tptp.xJ))) % 15.41/15.64 (assume @p26 @t97) % 15.41/15.64 (assume @p27 true) % 15.41/15.64 (step @p28 :rule refl :args (@t35)) % 15.41/15.64 (step @p29 :rule quant-merge-prenex :args ((= (forall @t3 @t107) @t105))) % 15.41/15.64 (step @p30 :rule alpha_equiv :args (@t108 (@list @t98) @t109)) % 15.41/15.64 (step @p31 :rule quant-unused-vars :args ((= @t110 @t108))) % 15.41/15.64 (step @p32 :rule trans :premises (@p31 @p30)) % 15.41/15.64 (step @p33 :rule alpha_equiv :args (@t111 (@list @t100) @t109)) % 15.41/15.64 (step @p34 :rule quant-unused-vars :args ((= @t112 @t111))) % 15.41/15.64 (step @p35 :rule trans :premises (@p34 @p33)) % 15.41/15.64 (step @p36 :rule nary_cong :premises (@p35 @p32) :args (@t113)) % 15.41/15.64 (step @p37 :rule quant-miniscope-and :args ((= @t114 @t113))) % 15.41/15.64 (step @p38 :rule trans :premises (@p37 @p36)) % 15.41/15.64 (step @p39 :rule refl :args (@t103)) % 15.41/15.64 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t115)) % 15.41/15.64 (step @p41 :rule quant-miniscope-or :args ((= @t107 @t115))) % 15.41/15.64 (step @p42 :rule trans :premises (@p41 @p40)) % 15.41/15.64 (step @p43 :rule symm :premises (@p42)) % 15.41/15.64 (step @p44 :rule cong :premises (@p43) :args ((forall @t3 (or @t103 @t117)))) % 15.41/15.64 (step @p45 :rule trans :premises (@p44 @p29)) % 15.41/15.64 (step @p46 :rule bool-impl-elim :args (@t42 @t117)) % 15.41/15.64 (step @p47 :rule cong :premises (@p46) :args ((forall @t3 (=> @t42 @t117)))) % 15.41/15.64 (step @p48 :rule trans :premises (@p47 @p45)) % 15.41/15.64 (step @p49 :rule bool-impl-elim :args (@t8 @t36)) % 15.41/15.64 (step @p50 :rule cong :premises (@p49) :args (@t37)) % 15.41/15.64 (step @p51 :rule bool-impl-elim :args (@t39 @t38)) % 15.41/15.64 (step @p52 :rule cong :premises (@p51) :args (@t40)) % 15.41/15.64 (step @p53 :rule nary_cong :premises (@p52 @p50) :args (@t41)) % 15.41/15.64 (step @p54 :rule refl :args (@t42)) % 15.41/15.64 (step @p55 :rule cong :premises (@p54 @p53) :args (@t43)) % 15.41/15.64 (step @p56 :rule cong :premises (@p55) :args (@t44)) % 15.41/15.64 (step @p57 :rule trans :premises (@p56 @p48)) % 15.41/15.64 (step @p58 :rule nary_cong :premises (@p57 @p28) :args (@t45)) % 15.41/15.64 (step @p59 :rule aci_norm :args ((= (or @t121 (or @t120 @t119)) (or @t121 @t120 @t119)))) % 15.41/15.64 (step @p60 :rule bool-and-de-morgan :args (@t46 @t118 true)) % 15.41/15.64 (step @p61 :rule refl :args (@t121)) % 15.41/15.64 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t121 (not (and @t46 @t118))))) % 15.41/15.64 (step @p63 :rule bool-and-de-morgan :args (@t33 @t46 (and @t118))) % 15.41/15.64 (step @p64 :rule trans :premises (@p63 @p62)) % 15.41/15.64 (step @p65 :rule trans :premises (@p64 @p59)) % 15.41/15.64 (step @p66 :rule cong :premises (@p65) :args (@t123)) % 15.41/15.64 (step @p67 :rule cong :premises (@p66) :args (@t124)) % 15.41/15.64 (step @p68 :rule exists-elim :args ((= (exists @t48 @t122) @t124))) % 15.41/15.64 (step @p69 :rule trans :premises (@p68 @p67)) % 15.41/15.64 (step @p70 :rule eq-symm :args (@t13 @t1)) % 15.41/15.64 (step @p71 :rule refl :args (@t46)) % 15.41/15.64 (step @p72 :rule refl :args (@t33)) % 15.41/15.64 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args (@t47)) % 15.41/15.64 (step @p74 :rule cong :premises (@p73) :args (@t49)) % 15.41/15.64 (step @p75 :rule trans :premises (@p74 @p69)) % 15.41/15.64 (step @p76 :rule cong :premises (@p54 @p75) :args (@t50)) % 15.41/15.64 (step @p77 :rule cong :premises (@p76) :args (@t51)) % 15.41/15.64 (step @p78 :rule refl :args (@t52)) % 15.41/15.64 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t53)) % 15.41/15.64 (step @p80 :rule cong :premises (@p79 @p58) :args (@t54)) % 15.41/15.64 (step @p81 :rule quant-merge-prenex :args ((= (forall @t16 @t170) @t169))) % 15.41/15.64 (step @p82 :rule refl :args (@t158)) % 15.41/15.64 (step @p83 :rule refl :args (@t159)) % 15.41/15.64 (step @p84 :rule quant-unused-vars :args ((= @t172 @t116))) % 15.41/15.64 (step @p85 :rule alpha_equiv :args (@t173 (@list @t161 @t160) @t174)) % 15.41/15.64 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t175)) % 15.41/15.64 (step @p87 :rule quant-miniscope-and :args ((= @t176 @t175))) % 15.41/15.64 (step @p88 :rule trans :premises (@p87 @p86)) % 15.41/15.64 (step @p89 :rule quant-unused-vars :args ((= @t178 @t103))) % 15.41/15.64 (step @p90 :rule alpha_equiv :args (@t179 (@list @t165 @t164) @t174)) % 15.41/15.64 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t180)) % 15.41/15.64 (step @p92 :rule quant-miniscope-and :args ((= @t181 @t180))) % 15.41/15.64 (step @p93 :rule trans :premises (@p92 @p91)) % 15.41/15.64 (step @p94 :rule nary_cong :premises (@p93 @p88 @p83 @p82) :args (@t182)) % 15.41/15.64 (step @p95 :rule quant-miniscope-or :args ((= @t170 @t182))) % 15.41/15.64 (step @p96 :rule trans :premises (@p95 @p94)) % 15.41/15.64 (step @p97 :rule symm :premises (@p96)) % 15.41/15.64 (step @p98 :rule cong :premises (@p97) :args ((forall @t16 @t191))) % 15.41/15.64 (step @p99 :rule trans :premises (@p98 @p81)) % 15.41/15.64 (step @p100 :rule aci_norm :args ((= (or (or @t190 @t187 @t159) @t158) @t191))) % 15.41/15.64 (step @p101 :rule refl :args (@t145)) % 15.41/15.64 (step @p102 :rule bool-double-not-elim :args (@t55)) % 15.41/15.64 (step @p103 :rule refl :args (@t152)) % 15.41/15.64 (step @p104 :rule bool-double-not-elim :args (@t38)) % 15.41/15.64 (step @p105 :rule refl :args (@t157)) % 15.41/15.64 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p101) :args (@t196)) % 15.41/15.64 (step @p107 :rule aci_norm :args ((= (and @t157 (and @t195 (and @t152 (and @t193 @t145)))) @t196))) % 15.41/15.64 (step @p108 :rule trans :premises (@p107 @p106)) % 15.41/15.64 (step @p109 :rule bool-or-de-morgan :args (@t192 @t144 false)) % 15.41/15.64 (step @p110 :rule nary_cong :premises (@p103 @p109) :args ((and @t152 (not (or @t192 @t144))))) % 15.41/15.64 (step @p111 :rule bool-or-de-morgan :args (@t151 @t192 (or @t144))) % 15.41/15.64 (step @p112 :rule trans :premises (@p111 @p110)) % 15.41/15.64 (step @p113 :rule refl :args (@t195)) % 15.41/15.64 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((and @t195 (not (or @t151 @t192 @t144))))) % 15.41/15.64 (step @p115 :rule bool-or-de-morgan :args (@t194 @t151 (or @t192 @t144))) % 15.41/15.64 (step @p116 :rule trans :premises (@p115 @p114)) % 15.41/15.64 (step @p117 :rule nary_cong :premises (@p105 @p116) :args ((and @t157 (not (or @t194 @t151 @t192 @t144))))) % 15.41/15.64 (step @p118 :rule bool-or-de-morgan :args (@t156 @t194 (or @t151 @t192 @t144))) % 15.41/15.64 (step @p119 :rule trans :premises (@p118 @p117)) % 15.41/15.64 (step @p120 :rule trans :premises (@p119 @p108)) % 15.41/15.64 (step @p121 :rule refl :args (@t116)) % 15.41/15.64 (step @p122 :rule bool-double-not-elim :args (@t186)) % 15.41/15.64 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((and (not @t197) @t116))) % 15.41/15.64 (step @p124 :rule bool-or-de-morgan :args (@t197 @t39 false)) % 15.41/15.64 (step @p125 :rule trans :premises (@p124 @p123)) % 15.41/15.64 (step @p126 :rule bool-double-not-elim :args (@t189)) % 15.41/15.64 (step @p127 :rule nary_cong :premises (@p126 @p39) :args ((and (not @t198) @t103))) % 15.41/15.64 (step @p128 :rule bool-or-de-morgan :args (@t198 @t42 false)) % 15.41/15.64 (step @p129 :rule trans :premises (@p128 @p127)) % 15.41/15.64 (step @p130 :rule nary_cong :premises (@p129 @p125 @p83) :args (@t203)) % 15.41/15.64 (step @p131 :rule aci_norm :args ((= (or @t202 (or @t200 @t159)) @t203))) % 15.41/15.64 (step @p132 :rule bool-and-de-morgan :args (@t199 @t14 true)) % 15.41/15.64 (step @p133 :rule refl :args (@t202)) % 15.41/15.64 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t202 (not (and @t199 @t14))))) % 15.41/15.64 (step @p135 :rule bool-and-de-morgan :args (@t201 @t199 (and @t14))) % 15.41/15.64 (step @p136 :rule trans :premises (@p135 @p134)) % 15.41/15.64 (step @p137 :rule trans :premises (@p136 @p131)) % 15.41/15.64 (step @p138 :rule trans :premises (@p137 @p130)) % 15.41/15.64 (step @p139 :rule nary_cong :premises (@p138 @p120) :args ((or (not @t205) @t204))) % 15.41/15.64 (step @p140 :rule trans :premises (@p139 @p100)) % 15.41/15.64 (step @p141 :rule bool-impl-elim :args (@t205 @t204)) % 15.41/15.64 (step @p142 :rule trans :premises (@p141 @p140)) % 15.41/15.64 (step @p143 :rule cong :premises (@p142) :args ((forall @t16 (=> @t205 @t204)))) % 15.41/15.64 (step @p144 :rule trans :premises (@p143 @p99)) % 15.41/15.64 (step @p145 :rule aci_norm :args ((= @t207 @t142))) % 15.41/15.64 (step @p146 :rule cong :premises (@p145) :args (@t208)) % 15.41/15.64 (step @p147 :rule quant-merge-prenex :args ((= (forall @t85 @t210) @t208))) % 15.41/15.64 (step @p148 :rule alpha_equiv :args (@t211 (@list @t127 @t125) (@list @t28 @t66))) % 15.41/15.64 (step @p149 :rule refl :args (@t137)) % 15.41/15.64 (step @p150 :rule refl :args (@t138)) % 15.41/15.64 (step @p151 :rule refl :args (@t139)) % 15.41/15.64 (step @p152 :rule refl :args (@t140)) % 15.41/15.64 (step @p153 :rule refl :args (@t141)) % 15.41/15.64 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151 @p150 @p149 @p148) :args (@t212)) % 15.41/15.64 (step @p155 :rule quant-miniscope-or :args ((= @t210 @t212))) % 15.41/15.64 (step @p156 :rule trans :premises (@p155 @p154)) % 15.41/15.64 (step @p157 :rule symm :premises (@p156)) % 15.41/15.64 (step @p158 :rule cong :premises (@p157) :args (@t222)) % 15.41/15.64 (step @p159 :rule trans :premises (@p158 @p147)) % 15.41/15.64 (step @p160 :rule trans :premises (@p159 @p146)) % 15.41/15.64 (step @p161 :rule refl :args (@t192)) % 15.41/15.64 (step @p162 :rule refl :args (@t151)) % 15.41/15.64 (step @p163 :rule refl :args (@t194)) % 15.41/15.64 (step @p164 :rule refl :args (@t156)) % 15.41/15.64 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162 @p161 @p160) :args (@t223)) % 15.41/15.64 (step @p166 :rule quant-miniscope-or :args ((= (forall @t85 @t224) @t223))) % 15.41/15.64 (step @p167 :rule aci_norm :args ((= @t225 @t224))) % 15.41/15.64 (step @p168 :rule cong :premises (@p167) :args ((forall @t85 @t225))) % 15.41/15.64 (step @p169 :rule trans :premises (@p168 @p166)) % 15.41/15.64 (step @p170 :rule trans :premises (@p169 @p165)) % 15.41/15.64 (step @p171 :rule aci_norm :args ((= (or @t141 @t140 @t139 @t226) @t225))) % 15.41/15.64 (step @p172 :rule bool-double-not-elim :args (@t226)) % 15.41/15.64 (step @p173 :rule nary_cong :premises (@p153 @p152 @p151 @p172) :args (@t229)) % 15.41/15.64 (step @p174 :rule aci_norm :args ((= (or @t141 (or @t140 (or @t139 @t228))) @t229))) % 15.41/15.64 (step @p175 :rule trans :premises (@p174 @p173)) % 15.41/15.64 (step @p176 :rule bool-and-de-morgan :args (@t81 @t227 true)) % 15.41/15.64 (step @p177 :rule nary_cong :premises (@p152 @p176) :args ((or @t140 (not (and @t81 @t227))))) % 15.41/15.64 (step @p178 :rule bool-and-de-morgan :args (@t82 @t81 (and @t227))) % 15.41/15.64 (step @p179 :rule trans :premises (@p178 @p177)) % 15.41/15.64 (step @p180 :rule nary_cong :premises (@p153 @p179) :args ((or @t141 (not (and @t82 @t81 @t227))))) % 15.41/15.64 (step @p181 :rule bool-and-de-morgan :args (@t83 @t82 (and @t81 @t227))) % 15.41/15.64 (step @p182 :rule trans :premises (@p181 @p180)) % 15.41/15.64 (step @p183 :rule trans :premises (@p182 @p175)) % 15.41/15.64 (step @p184 :rule trans :premises (@p183 @p171)) % 15.41/15.64 (step @p185 :rule cong :premises (@p184) :args (@t231)) % 15.41/15.64 (step @p186 :rule trans :premises (@p185 @p170)) % 15.41/15.64 (step @p187 :rule cong :premises (@p186) :args (@t232)) % 15.41/15.64 (step @p188 :rule exists-elim :args ((= (exists @t85 @t230) @t232))) % 15.41/15.64 (step @p189 :rule trans :premises (@p188 @p187)) % 15.41/15.64 (step @p190 :rule quant-miniscope-or :args ((= (forall @t78 @t233) @t226))) % 15.41/15.64 (step @p191 :rule aci_norm :args ((= @t234 @t233))) % 15.41/15.64 (step @p192 :rule cong :premises (@p191) :args ((forall @t78 @t234))) % 15.41/15.64 (step @p193 :rule trans :premises (@p192 @p190)) % 15.41/15.64 (step @p194 :rule refl :args (@t192)) % 15.41/15.64 (step @p195 :rule bool-double-not-elim :args (@t151)) % 15.41/15.64 (step @p196 :rule refl :args (@t194)) % 15.41/15.64 (step @p197 :rule bool-double-not-elim :args (@t156)) % 15.41/15.64 (step @p198 :rule refl :args (@t213)) % 15.41/15.64 (step @p199 :rule refl :args (@t214)) % 15.41/15.64 (step @p200 :rule refl :args (@t215)) % 15.41/15.64 (step @p201 :rule refl :args (@t216)) % 15.41/15.64 (step @p202 :rule refl :args (@t217)) % 15.41/15.64 (step @p203 :rule refl :args (@t218)) % 15.41/15.64 (step @p204 :rule nary_cong :premises (@p203 @p202 @p201 @p200 @p199 @p150 @p149 @p198 @p197 @p196 @p195 @p194) :args (@t237)) % 15.41/15.64 (step @p205 :rule aci_norm :args ((= (or @t218 (or @t217 (or @t216 (or @t215 (or @t214 (or @t138 (or @t137 (or @t213 (or @t236 (or @t194 (or @t235 @t192))))))))))) @t237))) % 15.41/15.64 (step @p206 :rule trans :premises (@p205 @p204)) % 15.41/15.64 (step @p207 :rule bool-and-de-morgan :args (@t152 @t55 true)) % 15.41/15.64 (step @p208 :rule nary_cong :premises (@p196 @p207) :args ((or @t194 (not (and @t152 @t55))))) % 15.41/15.64 (step @p209 :rule bool-and-de-morgan :args (@t38 @t152 (and @t55))) % 15.41/15.64 (step @p210 :rule trans :premises (@p209 @p208)) % 15.41/15.64 (step @p211 :rule refl :args (@t236)) % 15.41/15.64 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t236 (not (and @t38 @t152 @t55))))) % 15.41/15.64 (step @p213 :rule bool-and-de-morgan :args (@t157 @t38 (and @t152 @t55))) % 15.41/15.64 (step @p214 :rule trans :premises (@p213 @p212)) % 15.41/15.64 (step @p215 :rule nary_cong :premises (@p198 @p214) :args ((or @t213 (not (and @t157 @t38 @t152 @t55))))) % 15.41/15.64 (step @p216 :rule bool-and-de-morgan :args (@t69 @t157 (and @t38 @t152 @t55))) % 15.41/15.64 (step @p217 :rule trans :premises (@p216 @p215)) % 15.41/15.64 (step @p218 :rule nary_cong :premises (@p149 @p217) :args ((or @t137 (not (and @t69 @t157 @t38 @t152 @t55))))) % 15.41/15.64 (step @p219 :rule bool-and-de-morgan :args (@t70 @t69 (and @t157 @t38 @t152 @t55))) % 15.41/15.64 (step @p220 :rule trans :premises (@p219 @p218)) % 15.41/15.64 (step @p221 :rule nary_cong :premises (@p150 @p220) :args ((or @t138 (not (and @t70 @t69 @t157 @t38 @t152 @t55))))) % 15.41/15.64 (step @p222 :rule bool-and-de-morgan :args (@t71 @t70 (and @t69 @t157 @t38 @t152 @t55))) % 15.41/15.64 (step @p223 :rule trans :premises (@p222 @p221)) % 15.41/15.64 (step @p224 :rule nary_cong :premises (@p199 @p223) :args ((or @t214 (not (and @t71 @t70 @t69 @t157 @t38 @t152 @t55))))) % 15.41/15.64 (step @p225 :rule bool-and-de-morgan :args (@t72 @t71 (and @t70 @t69 @t157 @t38 @t152 @t55))) % 15.41/15.64 (step @p226 :rule trans :premises (@p225 @p224)) % 15.41/15.64 (step @p227 :rule nary_cong :premises (@p200 @p226) :args ((or @t215 (not (and @t72 @t71 @t70 @t69 @t157 @t38 @t152 @t55))))) % 15.41/15.64 (step @p228 :rule bool-and-de-morgan :args (@t73 @t72 (and @t71 @t70 @t69 @t157 @t38 @t152 @t55))) % 15.41/15.64 (step @p229 :rule trans :premises (@p228 @p227)) % 15.41/15.64 (step @p230 :rule nary_cong :premises (@p201 @p229) :args ((or @t216 (not (and @t73 @t72 @t71 @t70 @t69 @t157 @t38 @t152 @t55))))) % 15.41/15.64 (step @p231 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72 @t71 @t70 @t69 @t157 @t38 @t152 @t55))) % 15.41/15.64 (step @p232 :rule trans :premises (@p231 @p230)) % 15.41/15.64 (step @p233 :rule nary_cong :premises (@p202 @p232) :args ((or @t217 (not (and @t74 @t73 @t72 @t71 @t70 @t69 @t157 @t38 @t152 @t55))))) % 15.41/15.64 (step @p234 :rule bool-and-de-morgan :args (@t75 @t74 (and @t73 @t72 @t71 @t70 @t69 @t157 @t38 @t152 @t55))) % 15.41/15.64 (step @p235 :rule trans :premises (@p234 @p233)) % 15.41/15.64 (step @p236 :rule nary_cong :premises (@p203 @p235) :args ((or @t218 (not (and @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t157 @t38 @t152 @t55))))) % 15.41/15.64 (step @p237 :rule bool-and-de-morgan :args (@t76 @t75 (and @t74 @t73 @t72 @t71 @t70 @t69 @t157 @t38 @t152 @t55))) % 15.41/15.64 (step @p238 :rule trans :premises (@p237 @p236)) % 15.41/15.64 (step @p239 :rule trans :premises (@p238 @p206)) % 15.41/15.64 (step @p240 :rule cong :premises (@p239) :args (@t239)) % 15.41/15.64 (step @p241 :rule trans :premises (@p240 @p193)) % 15.41/15.64 (step @p242 :rule cong :premises (@p241) :args (@t240)) % 15.41/15.64 (step @p243 :rule exists-elim :args ((= (exists @t78 @t238) @t240))) % 15.41/15.64 (step @p244 :rule trans :premises (@p243 @p242)) % 15.41/15.64 (step @p245 :rule refl :args (@t55)) % 15.41/15.64 (step @p246 :rule aci_norm :args ((= (or @t149 (or @t148 @t147)) @t150))) % 15.41/15.64 (step @p247 :rule bool-and-de-morgan :args (@t59 @t146 true)) % 15.41/15.64 (step @p248 :rule refl :args (@t149)) % 15.41/15.64 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or @t149 (not (and @t59 @t146))))) % 15.41/15.64 (step @p250 :rule bool-and-de-morgan :args (@t60 @t59 (and @t146))) % 15.41/15.64 (step @p251 :rule trans :premises (@p250 @p249)) % 15.41/15.64 (step @p252 :rule trans :premises (@p251 @p246)) % 15.41/15.64 (step @p253 :rule cong :premises (@p252) :args (@t242)) % 15.41/15.64 (step @p254 :rule cong :premises (@p253) :args (@t243)) % 15.41/15.64 (step @p255 :rule exists-elim :args ((= (exists @t62 @t241) @t243))) % 15.41/15.64 (step @p256 :rule trans :premises (@p255 @p254)) % 15.41/15.64 (step @p257 :rule eq-symm :args (@t58 @t18)) % 15.41/15.64 (step @p258 :rule refl :args (@t59)) % 15.41/15.64 (step @p259 :rule refl :args (@t60)) % 15.41/15.64 (step @p260 :rule nary_cong :premises (@p259 @p258 @p257) :args (@t61)) % 15.41/15.64 (step @p261 :rule cong :premises (@p260) :args (@t63)) % 15.41/15.64 (step @p262 :rule trans :premises (@p261 @p256)) % 15.41/15.64 (step @p263 :rule refl :args (@t38)) % 15.41/15.64 (step @p264 :rule aci_norm :args ((= (or @t149 (or @t148 @t154)) @t155))) % 15.41/15.64 (step @p265 :rule bool-and-de-morgan :args (@t59 @t153 true)) % 15.41/15.64 (step @p266 :rule nary_cong :premises (@p248 @p265) :args ((or @t149 (not (and @t59 @t153))))) % 15.41/15.64 (step @p267 :rule bool-and-de-morgan :args (@t60 @t59 (and @t153))) % 15.41/15.64 (step @p268 :rule trans :premises (@p267 @p266)) % 15.41/15.64 (step @p269 :rule trans :premises (@p268 @p264)) % 15.41/15.64 (step @p270 :rule cong :premises (@p269) :args (@t245)) % 15.41/15.64 (step @p271 :rule cong :premises (@p270) :args (@t246)) % 15.41/15.64 (step @p272 :rule exists-elim :args ((= (exists @t62 @t244) @t246))) % 15.41/15.64 (step @p273 :rule trans :premises (@p272 @p271)) % 15.41/15.64 (step @p274 :rule eq-symm :args (@t58 @t7)) % 15.41/15.64 (step @p275 :rule nary_cong :premises (@p259 @p258 @p274) :args (@t64)) % 15.41/15.64 (step @p276 :rule cong :premises (@p275) :args (@t65)) % 15.41/15.64 (step @p277 :rule trans :premises (@p276 @p273)) % 15.41/15.64 (step @p278 :rule refl :args (@t69)) % 15.41/15.64 (step @p279 :rule refl :args (@t70)) % 15.41/15.64 (step @p280 :rule refl :args (@t71)) % 15.41/15.64 (step @p281 :rule refl :args (@t72)) % 15.41/15.64 (step @p282 :rule refl :args (@t73)) % 15.41/15.64 (step @p283 :rule refl :args (@t74)) % 15.41/15.64 (step @p284 :rule refl :args (@t75)) % 15.41/15.64 (step @p285 :rule refl :args (@t76)) % 15.41/15.64 (step @p286 :rule nary_cong :premises (@p285 @p284 @p283 @p282 @p281 @p280 @p279 @p278 @p277 @p263 @p262 @p245) :args (@t77)) % 15.41/15.64 (step @p287 :rule cong :premises (@p286) :args (@t79)) % 15.41/15.64 (step @p288 :rule trans :premises (@p287 @p244)) % 15.41/15.64 (step @p289 :rule refl :args (@t81)) % 15.41/15.64 (step @p290 :rule refl :args (@t82)) % 15.41/15.64 (step @p291 :rule refl :args (@t83)) % 15.41/15.64 (step @p292 :rule nary_cong :premises (@p291 @p290 @p289 @p288) :args (@t84)) % 15.41/15.64 (step @p293 :rule cong :premises (@p292) :args (@t86)) % 15.41/15.64 (step @p294 :rule trans :premises (@p293 @p189)) % 15.41/15.64 (step @p295 :rule refl :args (@t14)) % 15.41/15.64 (step @p296 :rule refl :args (@t39)) % 15.41/15.64 (step @p297 :rule aci_norm :args ((= (or @t141 (or @t140 @t184)) @t185))) % 15.41/15.64 (step @p298 :rule bool-and-de-morgan :args (@t82 @t183 true)) % 15.41/15.64 (step @p299 :rule nary_cong :premises (@p153 @p298) :args ((or @t141 (not (and @t82 @t183))))) % 15.41/15.64 (step @p300 :rule bool-and-de-morgan :args (@t83 @t82 (and @t183))) % 15.41/15.64 (step @p301 :rule trans :premises (@p300 @p299)) % 15.41/15.64 (step @p302 :rule trans :premises (@p301 @p297)) % 15.41/15.64 (step @p303 :rule cong :premises (@p302) :args (@t248)) % 15.41/15.64 (step @p304 :rule cong :premises (@p303) :args (@t249)) % 15.41/15.64 (step @p305 :rule exists-elim :args ((= (exists @t85 @t247) @t249))) % 15.41/15.64 (step @p306 :rule trans :premises (@p305 @p304)) % 15.41/15.64 (step @p307 :rule eq-symm :args (@t80 @t6)) % 15.41/15.64 (step @p308 :rule nary_cong :premises (@p291 @p290 @p307) :args (@t87)) % 15.41/15.64 (step @p309 :rule cong :premises (@p308) :args (@t88)) % 15.41/15.64 (step @p310 :rule trans :premises (@p309 @p306)) % 15.41/15.64 (step @p311 :rule nary_cong :premises (@p310 @p296) :args (@t89)) % 15.41/15.64 (step @p312 :rule aci_norm :args ((= (or @t141 (or @t140 @t139)) @t188))) % 15.41/15.64 (step @p313 :rule bool-and-de-morgan :args (@t82 @t81 true)) % 15.41/15.64 (step @p314 :rule nary_cong :premises (@p153 @p313) :args ((or @t141 (not (and @t82 @t81))))) % 15.41/15.64 (step @p315 :rule bool-and-de-morgan :args (@t83 @t82 (and @t81))) % 15.41/15.64 (step @p316 :rule trans :premises (@p315 @p314)) % 15.41/15.64 (step @p317 :rule trans :premises (@p316 @p312)) % 15.41/15.64 (step @p318 :rule cong :premises (@p317) :args (@t251)) % 15.41/15.64 (step @p319 :rule cong :premises (@p318) :args (@t252)) % 15.41/15.64 (step @p320 :rule exists-elim :args ((= (exists @t85 @t250) @t252))) % 15.41/15.64 (step @p321 :rule trans :premises (@p320 @p319)) % 15.41/15.64 (step @p322 :rule eq-symm :args (@t80 @t1)) % 15.41/15.64 (step @p323 :rule nary_cong :premises (@p291 @p290 @p322) :args (@t90)) % 15.41/15.64 (step @p324 :rule cong :premises (@p323) :args (@t91)) % 15.41/15.64 (step @p325 :rule trans :premises (@p324 @p321)) % 15.41/15.64 (step @p326 :rule nary_cong :premises (@p325 @p54) :args (@t92)) % 15.41/15.64 (step @p327 :rule nary_cong :premises (@p326 @p311 @p295) :args (@t93)) % 15.41/15.64 (step @p328 :rule cong :premises (@p327 @p294) :args (@t94)) % 15.41/15.64 (step @p329 :rule cong :premises (@p328) :args (@t95)) % 15.41/15.64 (step @p330 :rule trans :premises (@p329 @p144)) % 15.41/15.64 (step @p331 :rule cong :premises (@p330 @p80) :args (@t96)) % 15.41/15.64 (step @p332 :rule cong :premises (@p331) :args (@t97)) % 15.41/15.64 (step @p333 :rule eq_resolve :premises (@p26 @p332)) % 15.41/15.64 (step @p334 :rule not_implies_elim1 :premises (@p333)) % 15.41/15.64 (step @p335 :rule eq-symm :args (@t255 @t129)) % 15.41/15.64 (step @p336 :rule cong :premises (@p335) :args (@t256)) % 15.41/15.64 (step @p337 :rule refl :args (@t131)) % 15.41/15.64 (step @p338 :rule refl :args (@t132)) % 15.41/15.64 (step @p339 :rule eq-symm :args (@t253 @t133)) % 15.41/15.64 (step @p340 :rule cong :premises (@p339) :args (@t257)) % 15.41/15.64 (step @p341 :rule refl :args (@t135)) % 15.41/15.64 (step @p342 :rule refl :args (@t136)) % 15.41/15.64 (step @p343 :rule refl :args (@t258)) % 15.41/15.64 (step @p344 :rule refl :args (@t259)) % 15.41/15.64 (step @p345 :rule eq-symm :args (@t254 @t80)) % 15.41/15.64 (step @p346 :rule cong :premises (@p345) :args (@t260)) % 15.41/15.64 (step @p347 :rule refl :args (@t140)) % 15.41/15.64 (step @p348 :rule refl :args (@t141)) % 15.41/15.64 (step @p349 :rule nary_cong :premises (@p348 @p347 @p346 @p344 @p343 @p342 @p341 @p340 @p338 @p337 @p336) :args (@t261)) % 15.41/15.64 (step @p350 :rule cong :premises (@p349) :args (@t262)) % 15.41/15.64 (step @p351 :rule cong :premises (@p350) :args (@t263)) % 15.41/15.64 (step @p352 :rule refl :args (@t265)) % 15.41/15.64 (step @p353 :rule eq-symm :args (@t264 @t58)) % 15.41/15.64 (step @p354 :rule cong :premises (@p353) :args (@t266)) % 15.41/15.64 (step @p355 :rule refl :args (@t148)) % 15.41/15.64 (step @p356 :rule refl :args (@t149)) % 15.41/15.64 (step @p357 :rule nary_cong :premises (@p356 @p355 @p354) :args (@t267)) % 15.41/15.64 (step @p358 :rule cong :premises (@p357) :args (@t268)) % 15.41/15.64 (step @p359 :rule cong :premises (@p358) :args (@t269)) % 15.41/15.64 (step @p360 :rule refl :args (@t270)) % 15.41/15.64 (step @p361 :rule eq-symm :args (@t255 @t58)) % 15.41/15.64 (step @p362 :rule cong :premises (@p361) :args (@t271)) % 15.41/15.64 (step @p363 :rule nary_cong :premises (@p356 @p355 @p362) :args (@t272)) % 15.41/15.64 (step @p364 :rule cong :premises (@p363) :args (@t273)) % 15.41/15.64 (step @p365 :rule cong :premises (@p364) :args (@t274)) % 15.41/15.64 (step @p366 :rule nary_cong :premises (@p365 @p360 @p359 @p352 @p351) :args (@t275)) % 15.41/15.64 (step @p367 :rule refl :args (@t276)) % 15.41/15.64 (step @p368 :rule refl :args (@t282)) % 15.41/15.64 (step @p369 :rule refl :args (@t285)) % 15.41/15.64 (step @p370 :rule nary_cong :premises (@p369 @p368 @p367 @p366) :args (@t286)) % 15.41/15.64 (step @p371 :rule refl :args (@t169)) % 15.41/15.64 (step @p372 :rule cong :premises (@p371 @p370) :args ((=> @t169 @t286))) % 15.41/15.64 (assume-push @p461 @t169) % 15.41/15.64 (step @p374 :rule instantiate :premises (@p334) :args ((@list @t254 @t253 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00))) % 15.41/15.64 (step-pop @p462 :rule scope :premises (@p374)) % 15.41/15.64 (step @p375 :rule process_scope :premises (@p462) :args (@t286)) % 15.41/15.64 (step @p377 :rule eq_resolve :premises (@p375 @p372)) % 15.41/15.64 (step @p378 :rule implies_elim :premises (@p377)) % 15.41/15.64 (step @p379 :rule chain_m_resolution :premises (@p378 @p334) :args (@t289 @t290 @t291)) % 15.41/15.64 (step @p380 :rule not_implies_elim2 :premises (@p333)) % 15.41/15.64 (step @p381 :rule not_implies_elim2 :premises (@p380)) % 15.41/15.64 (step @p382 :rule not_or_elim :premises (@p381) :args (0)) % 15.41/15.64 (step @p383 :rule skolemize :premises (@p382)) % 15.41/15.64 (step @p384 :rule bool-double-not-elim :args (@t283)) % 15.41/15.64 (step @p385 :rule refl :args (@t300)) % 15.41/15.64 (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or @t300 (not @t284)))) % 15.41/15.64 (step @p387 :rule cnf_or_neg :args (@t300 0)) % 15.41/15.64 (step @p388 :rule eq_resolve :premises (@p387 @p386)) % 15.41/15.64 (step @p389 :rule reordering :premises (@p388) :args ((or @t283 @t300))) % 15.41/15.64 (step @p390 :rule chain_m_resolution :premises (@p389 @p383) :args (@t283 @t301 @t302)) % 15.41/15.64 (step @p391 :rule cnf_and_pos :args (@t285 1)) % 15.41/15.64 (step @p392 :rule reordering :premises (@p391) :args ((or @t284 @t303))) % 15.41/15.64 (step @p393 :rule chain_m_resolution :premises (@p392 @p390) :args (@t303 @t290 (@list @t283))) % 15.41/15.64 (step @p394 :rule bool-double-not-elim :args (@t295)) % 15.41/15.64 (step @p395 :rule refl :args (@t297)) % 15.41/15.64 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or @t297 (not @t296)))) % 15.41/15.64 (step @p397 :rule cnf_or_neg :args (@t297 0)) % 15.41/15.64 (step @p398 :rule eq_resolve :premises (@p397 @p396)) % 15.41/15.64 (step @p399 :rule reordering :premises (@p398) :args ((or @t295 @t297))) % 15.41/15.64 (step @p400 :rule cnf_or_neg :args (@t297 1)) % 15.41/15.64 (step @p401 :rule eq-symm :args (@t304 @t129)) % 15.41/15.64 (step @p402 :rule cong :premises (@p401) :args (@t305)) % 15.41/15.64 (step @p403 :rule eq-symm :args (@t254 @t133)) % 15.41/15.64 (step @p404 :rule cong :premises (@p403) :args (@t306)) % 15.41/15.64 (step @p405 :rule refl :args (@t307)) % 15.41/15.64 (step @p406 :rule refl :args (@t308)) % 15.41/15.64 (step @p407 :rule nary_cong :premises (@p348 @p347 @p346 @p406 @p405 @p342 @p341 @p404 @p338 @p337 @p402) :args (@t309)) % 15.41/15.64 (step @p408 :rule cong :premises (@p407) :args (@t310)) % 15.41/15.64 (step @p409 :rule cong :premises (@p408) :args (@t311)) % 15.41/15.64 (step @p410 :rule refl :args (@t294)) % 15.41/15.64 (step @p411 :rule eq-symm :args (@t293 @t58)) % 15.41/15.64 (step @p412 :rule cong :premises (@p411) :args (@t312)) % 15.41/15.64 (step @p413 :rule nary_cong :premises (@p356 @p355 @p412) :args (@t313)) % 15.41/15.64 (step @p414 :rule cong :premises (@p413) :args (@t314)) % 15.41/15.64 (step @p415 :rule cong :premises (@p414) :args (@t315)) % 15.41/15.64 (step @p416 :rule refl :args (@t316)) % 15.41/15.64 (step @p417 :rule eq-symm :args (@t304 @t58)) % 15.41/15.64 (step @p418 :rule cong :premises (@p417) :args (@t317)) % 15.41/15.64 (step @p419 :rule nary_cong :premises (@p356 @p355 @p418) :args (@t318)) % 15.41/15.64 (step @p420 :rule cong :premises (@p419) :args (@t319)) % 15.41/15.64 (step @p421 :rule cong :premises (@p420) :args (@t320)) % 15.41/15.64 (step @p422 :rule nary_cong :premises (@p421 @p416 @p415 @p410 @p409) :args (@t321)) % 15.41/15.64 (step @p423 :rule refl :args (@t296)) % 15.41/15.64 (step @p424 :rule nary_cong :premises (@p369 @p369 @p423 @p422) :args (@t322)) % 15.41/15.64 (step @p425 :rule cong :premises (@p371 @p424) :args ((=> @t169 @t322))) % 15.41/15.64 (assume-push @p463 @t169) % 15.41/15.64 (step @p427 :rule instantiate :premises (@p334) :args ((@list @t254 @t254 @t292 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00))) % 15.41/15.64 (step-pop @p464 :rule scope :premises (@p427)) % 15.41/15.64 (step @p428 :rule process_scope :premises (@p464) :args (@t322)) % 15.41/15.64 (step @p430 :rule eq_resolve :premises (@p428 @p425)) % 15.41/15.64 (step @p431 :rule implies_elim :premises (@p430)) % 15.41/15.64 (step @p432 :rule chain_m_resolution :premises (@p431 @p334) :args (@t324 @t290 @t291)) % 15.41/15.64 (step @p433 :rule cnf_or_pos :args (@t324)) % 15.41/15.64 (step @p434 :rule factoring :premises (@p433)) % 15.41/15.64 (step @p435 :rule reordering :premises (@p434) :args ((or @t296 @t285 @t323 (not @t324)))) % 15.41/15.64 (step @p436 :rule cnf_and_pos :args (@t323 3)) % 15.41/15.64 (step @p437 :rule reordering :premises (@p436) :args ((or @t294 (not @t323)))) % 15.41/15.64 (step @p438 :rule chain_m_resolution :premises (@p437 @p435 @p432 @p393 @p400 @p399) :args (@t297 (@list false false true true false) (@list @t323 @t324 @t285 @t294 @t295))) % 15.41/15.64 (step @p439 :rule cnf_or_neg :args (@t300 1)) % 15.41/15.64 (step @p440 :rule chain_m_resolution :premises (@p439 @p383) :args ((not @t299) @t301 @t302)) % 15.41/15.64 (step @p441 :rule cnf_and_neg :args (@t299)) % 15.41/15.64 (step @p442 :rule chain_m_resolution :premises (@p441 @p440 @p438) :args ((not @t298) (@list true false) (@list @t299 @t297))) % 15.41/15.64 (step @p443 :rule bool-double-not-elim :args (@t277)) % 15.41/15.64 (step @p444 :rule refl :args (@t298)) % 15.41/15.64 (step @p445 :rule nary_cong :premises (@p444 @p443) :args ((or @t298 (not @t278)))) % 15.41/15.64 (step @p446 :rule cnf_or_neg :args (@t298 0)) % 15.41/15.64 (step @p447 :rule eq_resolve :premises (@p446 @p445)) % 15.41/15.64 (step @p448 :rule reordering :premises (@p447) :args ((or @t277 @t298))) % 15.41/15.64 (step @p449 :rule chain_m_resolution :premises (@p448 @p442) :args (@t277 @t301 @t325)) % 15.41/15.64 (step @p450 :rule cnf_and_pos :args (@t282 1)) % 15.41/15.64 (step @p451 :rule reordering :premises (@p450) :args ((or @t278 @t326))) % 15.41/15.64 (step @p452 :rule chain_m_resolution :premises (@p451 @p449) :args (@t326 @t290 (@list @t277))) % 15.41/15.64 (step @p453 :rule cnf_or_neg :args (@t298 1)) % 15.41/15.64 (step @p454 :rule chain_m_resolution :premises (@p453 @p442) :args ((not @t270) @t301 @t325)) % 15.41/15.64 (step @p455 :rule cnf_and_pos :args (@t288 1)) % 15.41/15.64 (step @p456 :rule reordering :premises (@p455) :args ((or @t270 @t327))) % 15.41/15.64 (step @p457 :rule chain_m_resolution :premises (@p456 @p454) :args (@t327 @t301 (@list @t270))) % 15.41/15.64 (step @p458 :rule cnf_or_pos :args (@t289)) % 15.41/15.64 (step @p459 :rule reordering :premises (@p458) :args ((or @t276 @t285 @t282 @t288 (not @t289)))) % 15.41/15.64 (step @p460 false :rule chain_m_resolution :premises (@p459 @p457 @p452 @p393 @p379 @p2) :args (false (@list true true true false false) (@list @t288 @t282 @t285 @t289 @t4))) % 15.41/15.64 ) % 15.41/15.64 % SZS output end Proof % 15.41/15.64 % cvc5 exiting %------------------------------------------------------------------------------