%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM444+6 : 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 : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:26 AM UTC 2026 % Result : Theorem 31.95s 32.19s % Output : Proof 31.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM444+6 : 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 : n018.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 11:19:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 31.95/32.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 31.95/32.19 --- Run --no-e-matching --full-saturate-quant at 6... % 31.95/32.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 31.95/32.19 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 31.95/32.19 % SZS status Theorem % 31.95/32.19 % SZS output start Proof % 31.95/32.19 ( % 31.95/32.19 (declare-sort $$unsorted 0) % 31.95/32.19 (declare-const tptp.xa $$unsorted) % 31.95/32.19 (declare-const tptp.xq $$unsorted) % 31.95/32.19 (declare-const tptp.isClosed0 (-> $$unsorted Bool)) % 31.95/32.19 (declare-const tptp.isOpen0 (-> $$unsorted Bool)) % 31.95/32.19 (declare-const tptp.stldt0 (-> $$unsorted $$unsorted)) % 31.95/32.19 (declare-const tptp.sdtslmnbsdt0 (-> $$unsorted $$unsorted $$unsorted)) % 31.95/32.19 (declare-const tptp.cS1395 $$unsorted) % 31.95/32.19 (declare-const tptp.sdtbsmnsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 31.95/32.19 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 31.95/32.19 (declare-const tptp.szAzrzSzezqlpdtcmdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 31.95/32.19 (declare-const tptp.sbsmnsldt0 (-> $$unsorted $$unsorted)) % 31.95/32.19 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 31.95/32.19 (declare-const tptp.sz10 $$unsorted) % 31.95/32.19 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 31.95/32.19 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 31.95/32.19 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 31.95/32.19 (declare-const tptp.sz00 $$unsorted) % 31.95/32.19 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 31.95/32.19 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 31.95/32.19 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 31.95/32.19 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 31.95/32.19 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 31.95/32.19 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 31.95/32.19 (define @t1 () (@var "W0" $$unsorted)) % 31.95/32.19 (define @t2 () (tptp.aInteger0 @t1)) % 31.95/32.19 (define @t3 () (@list @t1)) % 31.95/32.19 (define @t4 () (tptp.aInteger0 tptp.sz00)) % 31.95/32.19 (define @t5 () (tptp.smndt0 @t1)) % 31.95/32.19 (define @t6 () (@var "W1" $$unsorted)) % 31.95/32.19 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 31.95/32.19 (define @t8 () (tptp.aInteger0 @t6)) % 31.95/32.19 (define @t9 () (and @t2 @t8)) % 31.95/32.19 (define @t10 () (@list @t1 @t6)) % 31.95/32.19 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 31.95/32.19 (define @t12 () (@var "W2" $$unsorted)) % 31.95/32.19 (define @t13 () (tptp.sdtpldt0 @t6 @t12)) % 31.95/32.19 (define @t14 () (tptp.aInteger0 @t12)) % 31.95/32.19 (define @t15 () (and @t2 @t8 @t14)) % 31.95/32.19 (define @t16 () (@list @t1 @t6 @t12)) % 31.95/32.19 (define @t17 () (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1))) % 31.95/32.19 (define @t18 () (tptp.sdtpldt0 @t1 @t5)) % 31.95/32.19 (define @t19 () (and (= @t18 tptp.sz00) @t17)) % 31.95/32.19 (define @t20 () (=> @t2 @t19)) % 31.95/32.19 (define @t21 () (forall @t3 @t20)) % 31.95/32.19 (define @t22 () (tptp.sdtasdt0 @t6 @t12)) % 31.95/32.19 (define @t23 () (tptp.sdtasdt0 @t1 @t12)) % 31.95/32.19 (define @t24 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 31.95/32.19 (define @t25 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 31.95/32.19 (define @t26 () (and (= @t25 tptp.sz00) @t24)) % 31.95/32.19 (define @t27 () (=> @t2 @t26)) % 31.95/32.19 (define @t28 () (forall @t3 @t27)) % 31.95/32.19 (define @t29 () (tptp.smndt0 tptp.sz10)) % 31.95/32.19 (define @t30 () (= @t6 tptp.sz00)) % 31.95/32.19 (define @t31 () (= @t1 tptp.sz00)) % 31.95/32.19 (define @t32 () (@list @t12)) % 31.95/32.19 (define @t33 () (not @t30)) % 31.95/32.19 (define @t34 () (tptp.aDivisorOf0 @t6 @t1)) % 31.95/32.19 (define @t35 () (@list @t6)) % 31.95/32.19 (define @t36 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 @t12)) % 31.95/32.19 (define @t37 () (not (= @t12 tptp.sz00))) % 31.95/32.19 (define @t38 () (and @t2 @t8 @t14 @t37)) % 31.95/32.19 (define @t39 () (and @t2 @t8 @t33)) % 31.95/32.19 (define @t40 () (@var "W3" $$unsorted)) % 31.95/32.19 (define @t41 () (tptp.aInteger0 @t40)) % 31.95/32.19 (define @t42 () (@list @t1 @t6 @t12 @t40)) % 31.95/32.19 (define @t43 () (tptp.aSet0 @t1)) % 31.95/32.19 (define @t44 () (tptp.aElementOf0 @t6 @t1)) % 31.95/32.19 (define @t45 () (tptp.aElementOf0 @t12 @t1)) % 31.95/32.19 (define @t46 () (tptp.aElementOf0 @t12 @t6)) % 31.95/32.19 (define @t47 () (tptp.aSet0 @t6)) % 31.95/32.19 (define @t48 () (tptp.isFinite0 @t1)) % 31.95/32.19 (define @t49 () (tptp.aElementOf0 @t40 @t6)) % 31.95/32.19 (define @t50 () (tptp.aElementOf0 @t40 @t1)) % 31.95/32.19 (define @t51 () (tptp.aElementOf0 @t40 @t12)) % 31.95/32.19 (define @t52 () (@list @t40)) % 31.95/32.19 (define @t53 () (tptp.aSet0 @t12)) % 31.95/32.19 (define @t54 () (tptp.sdtbsmnsldt0 @t1 @t6)) % 31.95/32.19 (define @t55 () (tptp.aSubsetOf0 @t6 tptp.cS1395)) % 31.95/32.19 (define @t56 () (tptp.aSubsetOf0 @t1 tptp.cS1395)) % 31.95/32.19 (define @t57 () (and @t56 @t55)) % 31.95/32.19 (define @t58 () (tptp.sdtslmnbsdt0 @t1 @t6)) % 31.95/32.19 (define @t59 () (tptp.sbsmnsldt0 @t1)) % 31.95/32.19 (define @t60 () (tptp.stldt0 @t1)) % 31.95/32.19 (define @t61 () (tptp.szAzrzSzezqlpdtcmdtrp0 @t1 @t6)) % 31.95/32.19 (define @t62 () (tptp.isOpen0 @t1)) % 31.95/32.19 (define @t63 () (tptp.isClosed0 @t1)) % 31.95/32.19 (define @t64 () (tptp.isOpen0 @t6)) % 31.95/32.19 (define @t65 () (tptp.isClosed0 @t6)) % 31.95/32.19 (define @t66 () (tptp.aInteger0 tptp.xq)) % 31.95/32.19 (define @t67 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.xa tptp.xq)) % 31.95/32.19 (define @t68 () (tptp.isClosed0 @t67)) % 31.95/32.19 (define @t69 () (tptp.stldt0 @t67)) % 31.95/32.19 (define @t70 () (tptp.isOpen0 @t69)) % 31.95/32.19 (define @t71 () (tptp.aSubsetOf0 @t61 @t69)) % 31.95/32.19 (define @t72 () (tptp.aElementOf0 @t12 @t69)) % 31.95/32.19 (define @t73 () (tptp.aElementOf0 @t12 @t61)) % 31.95/32.19 (define @t74 () (forall @t32 (=> @t73 @t72))) % 31.95/32.19 (define @t75 () (or @t74 @t71)) % 31.95/32.19 (define @t76 () (tptp.sdteqdtlpzmzozddtrp0 @t12 @t1 @t6)) % 31.95/32.19 (define @t77 () (tptp.sdtpldt0 @t12 @t5)) % 31.95/32.19 (define @t78 () (tptp.aDivisorOf0 @t6 @t77)) % 31.95/32.19 (define @t79 () (tptp.sdtasdt0 @t6 @t40)) % 31.95/32.19 (define @t80 () (and @t41 (= @t79 @t77))) % 31.95/32.19 (define @t81 () (exists @t52 @t80)) % 31.95/32.19 (define @t82 () (or @t81 @t78 @t76)) % 31.95/32.19 (define @t83 () (and @t14 @t82)) % 31.95/32.19 (define @t84 () (=> @t83 @t73)) % 31.95/32.19 (define @t85 () (and @t14 @t81 @t78 @t76)) % 31.95/32.19 (define @t86 () (=> @t73 @t85)) % 31.95/32.19 (define @t87 () (and @t86 @t84)) % 31.95/32.19 (define @t88 () (forall @t32 @t87)) % 31.95/32.19 (define @t89 () (tptp.aSet0 @t61)) % 31.95/32.19 (define @t90 () (and @t89 @t88)) % 31.95/32.19 (define @t91 () (=> @t90 @t75)) % 31.95/32.19 (define @t92 () (and @t8 @t33 @t91)) % 31.95/32.19 (define @t93 () (exists @t35 @t92)) % 31.95/32.19 (define @t94 () (tptp.aElementOf0 @t1 @t69)) % 31.95/32.19 (define @t95 () (=> @t94 @t93)) % 31.95/32.19 (define @t96 () (forall @t3 @t95)) % 31.95/32.19 (define @t97 () (or @t96 @t70)) % 31.95/32.19 (define @t98 () (tptp.aElementOf0 @t1 @t67)) % 31.95/32.19 (define @t99 () (not @t98)) % 31.95/32.19 (define @t100 () (forall @t3 (= @t94 (and @t2 @t99)))) % 31.95/32.19 (define @t101 () (and (tptp.aSet0 @t69) @t100)) % 31.95/32.19 (define @t102 () (=> @t101 @t97)) % 31.95/32.19 (define @t103 () (or @t102 @t68)) % 31.95/32.19 (define @t104 () (tptp.sdteqdtlpzmzozddtrp0 @t1 tptp.xa tptp.xq)) % 31.95/32.19 (define @t105 () (tptp.smndt0 tptp.xa)) % 31.95/32.19 (define @t106 () (tptp.sdtpldt0 @t1 @t105)) % 31.95/32.19 (define @t107 () (tptp.aDivisorOf0 tptp.xq @t106)) % 31.95/32.19 (define @t108 () (tptp.sdtasdt0 tptp.xq @t6)) % 31.95/32.19 (define @t109 () (and @t8 (= @t108 @t106))) % 31.95/32.19 (define @t110 () (exists @t35 @t109)) % 31.95/32.19 (define @t111 () (or @t110 @t107 @t104)) % 31.95/32.19 (define @t112 () (and @t2 @t111)) % 31.95/32.19 (define @t113 () (=> @t112 @t98)) % 31.95/32.19 (define @t114 () (and @t2 @t110 @t107 @t104)) % 31.95/32.19 (define @t115 () (=> @t98 @t114)) % 31.95/32.19 (define @t116 () (and @t115 @t113)) % 31.95/32.19 (define @t117 () (forall @t3 @t116)) % 31.95/32.19 (define @t118 () (=> @t117 @t103)) % 31.95/32.19 (define @t119 () (tptp.aSubsetOf0 @t67 tptp.cS1395)) % 31.95/32.19 (define @t120 () (tptp.aElementOf0 @t1 tptp.cS1395)) % 31.95/32.19 (define @t121 () (forall @t3 (=> @t98 @t120))) % 31.95/32.19 (define @t122 () (or @t121 @t119)) % 31.95/32.19 (define @t123 () (forall @t3 (= @t120 @t2))) % 31.95/32.19 (define @t124 () (tptp.aSet0 tptp.cS1395)) % 31.95/32.19 (define @t125 () (and @t124 @t123)) % 31.95/32.19 (define @t126 () (=> @t125 @t122)) % 31.95/32.19 (define @t127 () (tptp.aSet0 @t67)) % 31.95/32.19 (define @t128 () (and @t127 @t117)) % 31.95/32.19 (define @t129 () (=> @t128 @t126)) % 31.95/32.19 (define @t130 () (and @t129 @t118)) % 31.95/32.19 (define @t131 () (tptp.aElementOf0 @t6 @t69)) % 31.95/32.19 (define @t132 () (not (tptp.aElementOf0 @t6 @t67))) % 31.95/32.19 (define @t133 () (tptp.aElementOf0 @t12 @t67)) % 31.95/32.19 (define @t134 () (tptp.sdteqdtlpzmzozddtrp0 @t12 tptp.xa tptp.xq)) % 31.95/32.19 (define @t135 () (tptp.sdtpldt0 @t12 @t105)) % 31.95/32.19 (define @t136 () (tptp.aDivisorOf0 tptp.xq @t135)) % 31.95/32.19 (define @t137 () (tptp.sdtasdt0 tptp.xq @t40)) % 31.95/32.19 (define @t138 () (and @t41 (= @t137 @t135))) % 31.95/32.19 (define @t139 () (exists @t52 @t138)) % 31.95/32.19 (define @t140 () (or @t139 @t136 @t134)) % 31.95/32.19 (define @t141 () (and @t14 @t140)) % 31.95/32.19 (define @t142 () (=> @t141 @t133)) % 31.95/32.19 (define @t143 () (and @t14 @t139 @t136 @t134)) % 31.95/32.19 (define @t144 () (=> @t133 @t143)) % 31.95/32.19 (define @t145 () (and @t144 @t142)) % 31.95/32.19 (define @t146 () (forall @t32 @t145)) % 31.95/32.19 (define @t147 () (and @t127 @t146 @t132 @t131)) % 31.95/32.19 (define @t148 () (tptp.sdteqdtlpzmzozddtrp0 @t6 @t1 tptp.xq)) % 31.95/32.19 (define @t149 () (tptp.sdtpldt0 @t6 @t5)) % 31.95/32.19 (define @t150 () (tptp.aDivisorOf0 tptp.xq @t149)) % 31.95/32.19 (define @t151 () (= (tptp.sdtasdt0 tptp.xq @t12) @t149)) % 31.95/32.19 (define @t152 () (and @t14 @t151)) % 31.95/32.19 (define @t153 () (exists @t32 @t152)) % 31.95/32.19 (define @t154 () (or @t153 @t150 @t148)) % 31.95/32.19 (define @t155 () (or @t99 @t94)) % 31.95/32.19 (define @t156 () (and @t127 @t146)) % 31.95/32.19 (define @t157 () (=> @t156 @t155)) % 31.95/32.19 (define @t158 () (and @t157 @t154)) % 31.95/32.19 (define @t159 () (=> @t158 @t147)) % 31.95/32.19 (define @t160 () (=> @t9 @t159)) % 31.95/32.19 (define @t161 () (forall @t10 @t160)) % 31.95/32.19 (define @t162 () (=> @t161 @t130)) % 31.95/32.19 (define @t163 () (not @t162)) % 31.95/32.19 (define @t164 () (not @t71)) % 31.95/32.19 (define @t165 () (not @t73)) % 31.95/32.19 (define @t166 () (forall @t32 (or @t165 @t72))) % 31.95/32.19 (define @t167 () (not @t166)) % 31.95/32.19 (define @t168 () (@var "BOUND_VARIABLE_8714" $$unsorted)) % 31.95/32.19 (define @t169 () (tptp.sdtpldt0 @t168 @t5)) % 31.95/32.19 (define @t170 () (@var "BOUND_VARIABLE_8716" $$unsorted)) % 31.95/32.19 (define @t171 () (tptp.sdtasdt0 @t6 @t170)) % 31.95/32.19 (define @t172 () (not (tptp.aInteger0 @t170))) % 31.95/32.19 (define @t173 () (not (tptp.aInteger0 @t168))) % 31.95/32.19 (define @t174 () (or @t173 (and (or @t172 (not (= @t169 @t171))) (not (tptp.aDivisorOf0 @t6 @t169)) (not (tptp.sdteqdtlpzmzozddtrp0 @t168 @t1 @t6))) (tptp.aElementOf0 @t168 @t61))) % 31.95/32.19 (define @t175 () (@var "BOUND_VARIABLE_8699" $$unsorted)) % 31.95/32.19 (define @t176 () (tptp.sdtpldt0 @t175 @t5)) % 31.95/32.19 (define @t177 () (not @t41)) % 31.95/32.19 (define @t178 () (tptp.aInteger0 @t175)) % 31.95/32.19 (define @t179 () (or (not (tptp.aElementOf0 @t175 @t61)) (and @t178 (not (forall @t52 (or @t177 (not (= @t79 @t176))))) (tptp.aDivisorOf0 @t6 @t176) (tptp.sdteqdtlpzmzozddtrp0 @t175 @t1 @t6)))) % 31.95/32.19 (define @t180 () (and @t89 @t179 @t174 @t167 @t164)) % 31.95/32.19 (define @t181 () (= tptp.sz00 @t6)) % 31.95/32.19 (define @t182 () (not @t8)) % 31.95/32.19 (define @t183 () (or @t182 @t181 @t180)) % 31.95/32.19 (define @t184 () (@list @t6 @t175 @t168 @t170)) % 31.95/32.19 (define @t185 () (forall @t184 @t183)) % 31.95/32.19 (define @t186 () (not @t185)) % 31.95/32.19 (define @t187 () (not @t94)) % 31.95/32.19 (define @t188 () (forall @t3 (or @t187 @t186))) % 31.95/32.19 (define @t189 () (or @t188 @t70)) % 31.95/32.19 (define @t190 () (=> @t101 @t189)) % 31.95/32.19 (define @t191 () (@quantifiers_skolemize @t188 0)) % 31.95/32.19 (define @t192 () (tptp.aElementOf0 @t191 @t67)) % 31.95/32.19 (define @t193 () (tptp.aInteger0 @t191)) % 31.95/32.19 (define @t194 () (and @t193 (not @t192))) % 31.95/32.19 (define @t195 () (tptp.aElementOf0 @t191 @t69)) % 31.95/32.19 (define @t196 () (= @t195 @t194)) % 31.95/32.19 (define @t197 () (tptp.szAzrzSzezqlpdtcmdtrp0 @t191 @t6)) % 31.95/32.19 (define @t198 () (not (tptp.aSubsetOf0 @t197 @t69))) % 31.95/32.19 (define @t199 () (not (forall @t32 (or (not (tptp.aElementOf0 @t12 @t197)) @t72)))) % 31.95/32.19 (define @t200 () (tptp.aElementOf0 @t168 @t197)) % 31.95/32.19 (define @t201 () (not (tptp.sdteqdtlpzmzozddtrp0 @t168 @t191 @t6))) % 31.95/32.19 (define @t202 () (tptp.smndt0 @t191)) % 31.95/32.19 (define @t203 () (tptp.sdtpldt0 @t168 @t202)) % 31.95/32.19 (define @t204 () (not (tptp.aDivisorOf0 @t6 @t203))) % 31.95/32.19 (define @t205 () (tptp.sdtpldt0 @t175 @t202)) % 31.95/32.19 (define @t206 () (or (not (tptp.aElementOf0 @t175 @t197)) (and @t178 (not (forall @t52 (or @t177 (not (= @t79 @t205))))) (tptp.aDivisorOf0 @t6 @t205) (tptp.sdteqdtlpzmzozddtrp0 @t175 @t191 @t6)))) % 31.95/32.19 (define @t207 () (tptp.aSet0 @t197)) % 31.95/32.19 (define @t208 () (forall @t184 (or @t182 @t181 (and @t207 @t206 (or @t173 (and (or @t172 (not (= @t171 @t203))) @t204 @t201) @t200) @t199 @t198)))) % 31.95/32.19 (define @t209 () (not @t208)) % 31.95/32.19 (define @t210 () (not @t195)) % 31.95/32.19 (define @t211 () (or @t210 @t209)) % 31.95/32.19 (define @t212 () (not @t211)) % 31.95/32.19 (define @t213 () (not @t188)) % 31.95/32.19 (define @t214 () (not (= @t203 @t171))) % 31.95/32.19 (define @t215 () (or @t172 @t214)) % 31.95/32.19 (define @t216 () (and @t215 @t204 @t201)) % 31.95/32.19 (define @t217 () (or @t173 @t216 @t200)) % 31.95/32.19 (define @t218 () (and @t207 @t206 @t217 @t199 @t198)) % 31.95/32.19 (define @t219 () (or @t182 @t181 @t218)) % 31.95/32.19 (define @t220 () (forall @t184 @t219)) % 31.95/32.19 (define @t221 () (not @t220)) % 31.95/32.19 (define @t222 () (or @t210 @t221)) % 31.95/32.19 (define @t223 () (not @t222)) % 31.95/32.19 (define @t224 () (tptp.aElementOf0 tptp.sz00 @t67)) % 31.95/32.19 (define @t225 () (tptp.sdteqdtlpzmzozddtrp0 tptp.sz00 tptp.xa tptp.xq)) % 31.95/32.19 (define @t226 () (tptp.sdtpldt0 tptp.sz00 @t105)) % 31.95/32.19 (define @t227 () (tptp.aDivisorOf0 tptp.xq @t226)) % 31.95/32.19 (define @t228 () (tptp.sdtasdt0 tptp.xq tptp.sz00)) % 31.95/32.19 (define @t229 () (not @t4)) % 31.95/32.19 (define @t230 () (or @t229 (and (or @t229 (not (= @t226 @t228))) (not @t227) (not @t225)) @t224)) % 31.95/32.19 (define @t231 () (not @t224)) % 31.95/32.19 (define @t232 () (or @t231 (and @t4 (not (forall @t52 (or @t177 (not (= @t137 @t226))))) @t227 @t225))) % 31.95/32.19 (define @t233 () (and @t127 @t232 @t230 @t192 @t210)) % 31.95/32.19 (define @t234 () (@quantifiers_skolemize (forall @t32 (or (not (tptp.aElementOf0 @t12 (tptp.szAzrzSzezqlpdtcmdtrp0 @t191 tptp.cS1395))) @t72)) 0)) % 31.95/32.19 (define @t235 () (tptp.szAzrzSzezqlpdtcmdtrp0 @t191 tptp.xq)) % 31.95/32.19 (define @t236 () (not (tptp.aSubsetOf0 @t235 @t69))) % 31.95/32.19 (define @t237 () (forall @t32 (or (not (tptp.aElementOf0 @t12 @t235)) @t72))) % 31.95/32.19 (define @t238 () (not @t237)) % 31.95/32.19 (define @t239 () (tptp.sdtpldt0 tptp.sz00 @t202)) % 31.95/32.19 (define @t240 () (or @t229 (and (or @t229 (not (= @t228 @t239))) (not (tptp.aDivisorOf0 tptp.xq @t239)) (not (tptp.sdteqdtlpzmzozddtrp0 tptp.sz00 @t191 tptp.xq))) (tptp.aElementOf0 tptp.sz00 @t235))) % 31.95/32.19 (define @t241 () (tptp.sdtpldt0 @t234 @t202)) % 31.95/32.19 (define @t242 () (tptp.aSet0 @t235)) % 31.95/32.19 (define @t243 () (and @t242 (or (not (tptp.aElementOf0 @t234 @t235)) (and (tptp.aInteger0 @t234) (not (forall @t52 (or @t177 (not (= @t137 @t241))))) (tptp.aDivisorOf0 tptp.xq @t241) (tptp.sdteqdtlpzmzozddtrp0 @t234 @t191 tptp.xq))) @t240 @t238 @t236)) % 31.95/32.19 (define @t244 () (= tptp.sz00 tptp.xq)) % 31.95/32.19 (define @t245 () (not @t66)) % 31.95/32.19 (define @t246 () (or @t245 @t244 @t243)) % 31.95/32.19 (define @t247 () (@quantifiers_skolemize @t237 0)) % 31.95/32.19 (define @t248 () (tptp.sdteqdtlpzmzozddtrp0 @t247 @t191 tptp.xq)) % 31.95/32.19 (define @t249 () (tptp.sdtpldt0 @t247 @t202)) % 31.95/32.19 (define @t250 () (tptp.aDivisorOf0 tptp.xq @t249)) % 31.95/32.19 (define @t251 () (tptp.aInteger0 @t247)) % 31.95/32.19 (define @t252 () (and @t251 (not (forall @t52 (or @t177 (not (= @t137 @t249))))) @t250 @t248)) % 31.95/32.19 (define @t253 () (tptp.aElementOf0 @t247 @t235)) % 31.95/32.19 (define @t254 () (not @t253)) % 31.95/32.19 (define @t255 () (or @t254 @t252)) % 31.95/32.19 (define @t256 () (and @t242 @t255 @t240 @t238 @t236)) % 31.95/32.19 (define @t257 () (or @t245 @t244 @t256)) % 31.95/32.19 (define @t258 () (tptp.aElementOf0 @t247 @t69)) % 31.95/32.19 (define @t259 () (or @t254 @t258)) % 31.95/32.19 (define @t260 () (not @t259)) % 31.95/32.19 (define @t261 () (and @t127 (not (tptp.aElementOf0 @t247 @t67)) @t258 @t232 @t230)) % 31.95/32.19 (define @t262 () (not @t252)) % 31.95/32.19 (define @t263 () (@list @t175 @t168 @t170)) % 31.95/32.19 (define @t264 () (forall @t263 @t183)) % 31.95/32.19 (define @t265 () (forall @t263 @t164)) % 31.95/32.19 (define @t266 () (forall @t263 @t167)) % 31.95/32.19 (define @t267 () (forall (@list @t168 @t170) @t174)) % 31.95/32.19 (define @t268 () (@var "BOUND_VARIABLE_8661" $$unsorted)) % 31.95/32.19 (define @t269 () (@var "BOUND_VARIABLE_8627" $$unsorted)) % 31.95/32.19 (define @t270 () (forall @t263 @t174)) % 31.95/32.19 (define @t271 () (forall (@list @t175) @t179)) % 31.95/32.19 (define @t272 () (@var "BOUND_VARIABLE_8610" $$unsorted)) % 31.95/32.19 (define @t273 () (@list @t272)) % 31.95/32.19 (define @t274 () (forall @t263 @t179)) % 31.95/32.19 (define @t275 () (forall @t263 @t89)) % 31.95/32.19 (define @t276 () (and @t275 @t274 @t270 @t266 @t265)) % 31.95/32.19 (define @t277 () (forall @t263 @t180)) % 31.95/32.19 (define @t278 () (or @t182 @t181 @t277)) % 31.95/32.19 (define @t279 () (tptp.aElementOf0 @t269 @t61)) % 31.95/32.19 (define @t280 () (not (tptp.sdteqdtlpzmzozddtrp0 @t269 @t1 @t6))) % 31.95/32.19 (define @t281 () (tptp.sdtpldt0 @t269 @t5)) % 31.95/32.19 (define @t282 () (not (tptp.aDivisorOf0 @t6 @t281))) % 31.95/32.19 (define @t283 () (tptp.sdtasdt0 @t6 @t268)) % 31.95/32.19 (define @t284 () (not (tptp.aInteger0 @t268))) % 31.95/32.19 (define @t285 () (not (tptp.aInteger0 @t269))) % 31.95/32.19 (define @t286 () (@list @t269 @t268)) % 31.95/32.19 (define @t287 () (forall @t286 (or @t285 (and (or @t284 (not (= @t281 @t283))) @t282 @t280) @t279))) % 31.95/32.19 (define @t288 () (tptp.sdteqdtlpzmzozddtrp0 @t272 @t1 @t6)) % 31.95/32.19 (define @t289 () (tptp.sdtpldt0 @t272 @t5)) % 31.95/32.19 (define @t290 () (tptp.aDivisorOf0 @t6 @t289)) % 31.95/32.19 (define @t291 () (tptp.aInteger0 @t272)) % 31.95/32.19 (define @t292 () (not (tptp.aElementOf0 @t272 @t61))) % 31.95/32.19 (define @t293 () (@list @t272)) % 31.95/32.19 (define @t294 () (forall @t293 (or @t292 (and @t291 (not (forall @t52 (or @t177 (not (= @t79 @t289))))) @t290 @t288)))) % 31.95/32.19 (define @t295 () (and @t89 @t294 @t287 @t167 @t164)) % 31.95/32.19 (define @t296 () (and @t89 @t294 @t287)) % 31.95/32.19 (define @t297 () (or @t166 @t71)) % 31.95/32.19 (define @t298 () (=> @t296 @t297)) % 31.95/32.19 (define @t299 () (not @t298)) % 31.95/32.19 (define @t300 () (not @t181)) % 31.95/32.19 (define @t301 () (not @t300)) % 31.95/32.19 (define @t302 () (or @t182 @t301 @t299)) % 31.95/32.19 (define @t303 () (and @t8 @t300 @t298)) % 31.95/32.19 (define @t304 () (forall @t35 (not @t303))) % 31.95/32.19 (define @t305 () (not @t304)) % 31.95/32.19 (define @t306 () (not (= @t283 @t281))) % 31.95/32.19 (define @t307 () (or @t284 @t306)) % 31.95/32.19 (define @t308 () (and @t307 @t282 @t280)) % 31.95/32.19 (define @t309 () (or @t285 @t308 @t279)) % 31.95/32.19 (define @t310 () (forall @t286 @t309)) % 31.95/32.19 (define @t311 () (@list @t268)) % 31.95/32.19 (define @t312 () (forall @t311 @t309)) % 31.95/32.19 (define @t313 () (@list @t269)) % 31.95/32.19 (define @t314 () (forall @t311 @t280)) % 31.95/32.19 (define @t315 () (forall @t311 @t282)) % 31.95/32.19 (define @t316 () (forall @t311 @t307)) % 31.95/32.19 (define @t317 () (@list @t40)) % 31.95/32.19 (define @t318 () (and @t316 @t315 @t314)) % 31.95/32.19 (define @t319 () (forall @t311 @t308)) % 31.95/32.19 (define @t320 () (or @t285 @t319 @t279)) % 31.95/32.19 (define @t321 () (not (= @t281 @t79))) % 31.95/32.19 (define @t322 () (or @t177 @t321)) % 31.95/32.19 (define @t323 () (forall @t52 @t322)) % 31.95/32.19 (define @t324 () (and @t323 @t282 @t280)) % 31.95/32.19 (define @t325 () (or @t285 @t324 @t279)) % 31.95/32.19 (define @t326 () (forall @t313 @t325)) % 31.95/32.19 (define @t327 () (not (= @t289 @t79))) % 31.95/32.19 (define @t328 () (or @t177 @t327)) % 31.95/32.19 (define @t329 () (forall @t52 @t328)) % 31.95/32.19 (define @t330 () (not @t329)) % 31.95/32.19 (define @t331 () (and @t291 @t330 @t290 @t288)) % 31.95/32.19 (define @t332 () (or @t292 @t331)) % 31.95/32.19 (define @t333 () (forall @t293 @t332)) % 31.95/32.19 (define @t334 () (not @t76)) % 31.95/32.19 (define @t335 () (not @t78)) % 31.95/32.19 (define @t336 () (= @t77 @t79)) % 31.95/32.19 (define @t337 () (forall @t52 (or @t177 (not @t336)))) % 31.95/32.19 (define @t338 () (and @t337 @t335 @t334)) % 31.95/32.19 (define @t339 () (not @t14)) % 31.95/32.19 (define @t340 () (or @t339 @t338 @t73)) % 31.95/32.19 (define @t341 () (forall @t32 @t340)) % 31.95/32.19 (define @t342 () (@list @t12)) % 31.95/32.19 (define @t343 () (not @t337)) % 31.95/32.19 (define @t344 () (and @t14 @t343 @t78 @t76)) % 31.95/32.19 (define @t345 () (or @t165 @t344)) % 31.95/32.19 (define @t346 () (forall @t32 @t345)) % 31.95/32.19 (define @t347 () (and @t346 @t341)) % 31.95/32.19 (define @t348 () (not @t343)) % 31.95/32.19 (define @t349 () (and @t348 @t335 @t334)) % 31.95/32.19 (define @t350 () (or @t343 @t78 @t76)) % 31.95/32.19 (define @t351 () (and @t14 @t350)) % 31.95/32.19 (define @t352 () (and (=> @t73 @t344) (=> @t351 @t73))) % 31.95/32.19 (define @t353 () (and @t41 @t336)) % 31.95/32.19 (define @t354 () (forall @t52 (not @t353))) % 31.95/32.19 (define @t355 () (not @t354)) % 31.95/32.19 (define @t356 () (@var "BOUND_VARIABLE_8519" $$unsorted)) % 31.95/32.19 (define @t357 () (tptp.aElementOf0 @t356 @t67)) % 31.95/32.19 (define @t358 () (not (tptp.sdteqdtlpzmzozddtrp0 @t356 tptp.xa tptp.xq))) % 31.95/32.19 (define @t359 () (tptp.sdtpldt0 @t356 @t105)) % 31.95/32.19 (define @t360 () (not (tptp.aDivisorOf0 tptp.xq @t359))) % 31.95/32.19 (define @t361 () (@var "BOUND_VARIABLE_8553" $$unsorted)) % 31.95/32.19 (define @t362 () (tptp.sdtasdt0 tptp.xq @t361)) % 31.95/32.19 (define @t363 () (not (= @t362 @t359))) % 31.95/32.19 (define @t364 () (not (tptp.aInteger0 @t361))) % 31.95/32.19 (define @t365 () (or @t364 @t363)) % 31.95/32.19 (define @t366 () (and @t365 @t360 @t358)) % 31.95/32.19 (define @t367 () (not (tptp.aInteger0 @t356))) % 31.95/32.19 (define @t368 () (or @t367 @t366 @t357)) % 31.95/32.19 (define @t369 () (@list @t356 @t361)) % 31.95/32.19 (define @t370 () (forall @t369 @t368)) % 31.95/32.19 (define @t371 () (@list @t361)) % 31.95/32.19 (define @t372 () (forall @t371 @t368)) % 31.95/32.19 (define @t373 () (@list @t356)) % 31.95/32.19 (define @t374 () (forall @t371 @t358)) % 31.95/32.19 (define @t375 () (forall @t371 @t360)) % 31.95/32.19 (define @t376 () (forall @t371 @t365)) % 31.95/32.19 (define @t377 () (and @t376 @t375 @t374)) % 31.95/32.19 (define @t378 () (forall @t371 @t366)) % 31.95/32.19 (define @t379 () (or @t367 @t378 @t357)) % 31.95/32.19 (define @t380 () (not (= @t359 @t108))) % 31.95/32.19 (define @t381 () (or @t182 @t380)) % 31.95/32.19 (define @t382 () (forall @t35 @t381)) % 31.95/32.19 (define @t383 () (and @t382 @t360 @t358)) % 31.95/32.19 (define @t384 () (or @t367 @t383 @t357)) % 31.95/32.19 (define @t385 () (forall @t373 @t384)) % 31.95/32.19 (define @t386 () (@var "BOUND_VARIABLE_8502" $$unsorted)) % 31.95/32.19 (define @t387 () (tptp.sdteqdtlpzmzozddtrp0 @t386 tptp.xa tptp.xq)) % 31.95/32.19 (define @t388 () (tptp.sdtpldt0 @t386 @t105)) % 31.95/32.19 (define @t389 () (tptp.aDivisorOf0 tptp.xq @t388)) % 31.95/32.19 (define @t390 () (not (= @t388 @t108))) % 31.95/32.19 (define @t391 () (or @t182 @t390)) % 31.95/32.19 (define @t392 () (forall @t35 @t391)) % 31.95/32.19 (define @t393 () (not @t392)) % 31.95/32.19 (define @t394 () (tptp.aInteger0 @t386)) % 31.95/32.19 (define @t395 () (and @t394 @t393 @t389 @t387)) % 31.95/32.19 (define @t396 () (not (tptp.aElementOf0 @t386 @t67))) % 31.95/32.19 (define @t397 () (or @t396 @t395)) % 31.95/32.19 (define @t398 () (@list @t386)) % 31.95/32.19 (define @t399 () (forall @t398 @t397)) % 31.95/32.19 (define @t400 () (not @t104)) % 31.95/32.19 (define @t401 () (not @t107)) % 31.95/32.19 (define @t402 () (= @t106 @t108)) % 31.95/32.19 (define @t403 () (forall @t35 (or @t182 (not @t402)))) % 31.95/32.19 (define @t404 () (and @t403 @t401 @t400)) % 31.95/32.19 (define @t405 () (not @t2)) % 31.95/32.19 (define @t406 () (or @t405 @t404 @t98)) % 31.95/32.19 (define @t407 () (forall @t3 @t406)) % 31.95/32.19 (define @t408 () (@list @t1)) % 31.95/32.19 (define @t409 () (not @t403)) % 31.95/32.19 (define @t410 () (and @t2 @t409 @t107 @t104)) % 31.95/32.19 (define @t411 () (or @t99 @t410)) % 31.95/32.19 (define @t412 () (forall @t3 @t411)) % 31.95/32.19 (define @t413 () (and @t412 @t407)) % 31.95/32.19 (define @t414 () (not @t409)) % 31.95/32.19 (define @t415 () (and @t414 @t401 @t400)) % 31.95/32.19 (define @t416 () (or @t409 @t107 @t104)) % 31.95/32.19 (define @t417 () (and @t2 @t416)) % 31.95/32.19 (define @t418 () (and (=> @t98 @t410) (=> @t417 @t98))) % 31.95/32.19 (define @t419 () (and @t8 @t402)) % 31.95/32.19 (define @t420 () (forall @t35 (not @t419))) % 31.95/32.19 (define @t421 () (not @t420)) % 31.95/32.19 (define @t422 () (forall @t369 (or @t367 (and (or @t364 (not (= @t359 @t362))) @t360 @t358) @t357))) % 31.95/32.19 (define @t423 () (forall @t398 (or @t396 (and @t394 (not (forall @t35 (or @t182 (not (= @t108 @t388))))) @t389 @t387)))) % 31.95/32.19 (define @t424 () (and @t127 @t423 @t422)) % 31.95/32.19 (define @t425 () (and @t423 @t422)) % 31.95/32.19 (define @t426 () (@var "BOUND_VARIABLE_8445" $$unsorted)) % 31.95/32.19 (define @t427 () (tptp.sdtpldt0 @t426 @t105)) % 31.95/32.19 (define @t428 () (@var "BOUND_VARIABLE_8447" $$unsorted)) % 31.95/32.19 (define @t429 () (or (not (tptp.aInteger0 @t426)) (and (or (not (tptp.aInteger0 @t428)) (not (= @t427 (tptp.sdtasdt0 tptp.xq @t428)))) (not (tptp.aDivisorOf0 tptp.xq @t427)) (not (tptp.sdteqdtlpzmzozddtrp0 @t426 tptp.xa tptp.xq))) (tptp.aElementOf0 @t426 @t67))) % 31.95/32.19 (define @t430 () (@var "BOUND_VARIABLE_8430" $$unsorted)) % 31.95/32.19 (define @t431 () (tptp.sdtpldt0 @t430 @t105)) % 31.95/32.19 (define @t432 () (or (not (tptp.aElementOf0 @t430 @t67)) (and (tptp.aInteger0 @t430) (not (forall @t52 (or @t177 (not (= @t137 @t431))))) (tptp.aDivisorOf0 tptp.xq @t431) (tptp.sdteqdtlpzmzozddtrp0 @t430 tptp.xa tptp.xq)))) % 31.95/32.19 (define @t433 () (and @t127 @t132 @t131 @t432 @t429)) % 31.95/32.19 (define @t434 () (not @t148)) % 31.95/32.19 (define @t435 () (not @t150)) % 31.95/32.19 (define @t436 () (@var "BOUND_VARIABLE_8421" $$unsorted)) % 31.95/32.19 (define @t437 () (tptp.sdtasdt0 tptp.xq @t436)) % 31.95/32.19 (define @t438 () (not (= @t437 @t149))) % 31.95/32.19 (define @t439 () (not (tptp.aInteger0 @t436))) % 31.95/32.19 (define @t440 () (or @t439 @t438)) % 31.95/32.19 (define @t441 () (and @t440 @t435 @t434)) % 31.95/32.19 (define @t442 () (@var "BOUND_VARIABLE_8400" $$unsorted)) % 31.95/32.19 (define @t443 () (tptp.sdtpldt0 @t442 @t105)) % 31.95/32.19 (define @t444 () (@var "BOUND_VARIABLE_8402" $$unsorted)) % 31.95/32.19 (define @t445 () (or (not (tptp.aInteger0 @t442)) (and (or (not (tptp.aInteger0 @t444)) (not (= @t443 (tptp.sdtasdt0 tptp.xq @t444)))) (not (tptp.aDivisorOf0 tptp.xq @t443)) (not (tptp.sdteqdtlpzmzozddtrp0 @t442 tptp.xa tptp.xq))) (tptp.aElementOf0 @t442 @t67))) % 31.95/32.19 (define @t446 () (@var "BOUND_VARIABLE_8385" $$unsorted)) % 31.95/32.19 (define @t447 () (tptp.sdtpldt0 @t446 @t105)) % 31.95/32.19 (define @t448 () (or (not (tptp.aElementOf0 @t446 @t67)) (and (tptp.aInteger0 @t446) (not (forall @t52 (or @t177 (not (= @t137 @t447))))) (tptp.aDivisorOf0 tptp.xq @t447) (tptp.sdteqdtlpzmzozddtrp0 @t446 tptp.xa tptp.xq)))) % 31.95/32.19 (define @t449 () (and @t127 @t448 @t445 @t98 @t187)) % 31.95/32.19 (define @t450 () (or @t405 @t182 @t449 @t441 @t433)) % 31.95/32.19 (define @t451 () (@list @t1 @t6 @t446 @t442 @t444 @t436 @t430 @t426 @t428)) % 31.95/32.19 (define @t452 () (forall @t451 @t450)) % 31.95/32.19 (define @t453 () (forall (@list @t446 @t442 @t444 @t436 @t430 @t426 @t428) @t450)) % 31.95/32.19 (define @t454 () (forall (@list @t426 @t428) @t429)) % 31.95/32.19 (define @t455 () (@var "BOUND_VARIABLE_8335" $$unsorted)) % 31.95/32.19 (define @t456 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 31.95/32.19 (define @t457 () (@list @t456 @t455)) % 31.95/32.19 (define @t458 () (@list @t430 @t426 @t428)) % 31.95/32.19 (define @t459 () (forall @t458 @t429)) % 31.95/32.19 (define @t460 () (forall (@list @t430) @t432)) % 31.95/32.19 (define @t461 () (@var "BOUND_VARIABLE_8284" $$unsorted)) % 31.95/32.19 (define @t462 () (@list @t461)) % 31.95/32.19 (define @t463 () (forall @t458 @t432)) % 31.95/32.19 (define @t464 () (forall @t458 @t131)) % 31.95/32.19 (define @t465 () (forall @t458 @t132)) % 31.95/32.19 (define @t466 () (forall @t458 @t127)) % 31.95/32.19 (define @t467 () (and @t466 @t465 @t464 @t463 @t459)) % 31.95/32.19 (define @t468 () (forall @t458 @t433)) % 31.95/32.19 (define @t469 () (@list @t436)) % 31.95/32.19 (define @t470 () (forall @t469 @t434)) % 31.95/32.19 (define @t471 () (forall @t469 @t435)) % 31.95/32.19 (define @t472 () (forall @t469 @t440)) % 31.95/32.19 (define @t473 () (and @t472 @t471 @t470)) % 31.95/32.19 (define @t474 () (forall @t469 @t441)) % 31.95/32.19 (define @t475 () (@list @t446 @t442 @t444)) % 31.95/32.19 (define @t476 () (forall @t475 @t187)) % 31.95/32.19 (define @t477 () (forall @t475 @t98)) % 31.95/32.19 (define @t478 () (forall (@list @t442 @t444) @t445)) % 31.95/32.19 (define @t479 () (forall @t475 @t445)) % 31.95/32.19 (define @t480 () (forall (@list @t446) @t448)) % 31.95/32.19 (define @t481 () (forall @t475 @t448)) % 31.95/32.19 (define @t482 () (forall @t475 @t127)) % 31.95/32.19 (define @t483 () (and @t482 @t481 @t479 @t477 @t476)) % 31.95/32.19 (define @t484 () (forall @t475 @t449)) % 31.95/32.19 (define @t485 () (or @t405 @t182 @t484 @t474 @t468)) % 31.95/32.19 (define @t486 () (tptp.aElementOf0 @t456 @t67)) % 31.95/32.19 (define @t487 () (not (tptp.sdteqdtlpzmzozddtrp0 @t456 tptp.xa tptp.xq))) % 31.95/32.19 (define @t488 () (tptp.sdtpldt0 @t456 @t105)) % 31.95/32.19 (define @t489 () (not (tptp.aDivisorOf0 tptp.xq @t488))) % 31.95/32.19 (define @t490 () (tptp.sdtasdt0 tptp.xq @t455)) % 31.95/32.19 (define @t491 () (not (tptp.aInteger0 @t455))) % 31.95/32.19 (define @t492 () (not (tptp.aInteger0 @t456))) % 31.95/32.19 (define @t493 () (@list @t456 @t455)) % 31.95/32.19 (define @t494 () (forall @t493 (or @t492 (and (or @t491 (not (= @t488 @t490))) @t489 @t487) @t486))) % 31.95/32.19 (define @t495 () (tptp.sdteqdtlpzmzozddtrp0 @t461 tptp.xa tptp.xq)) % 31.95/32.19 (define @t496 () (tptp.sdtpldt0 @t461 @t105)) % 31.95/32.19 (define @t497 () (tptp.aDivisorOf0 tptp.xq @t496)) % 31.95/32.19 (define @t498 () (tptp.aInteger0 @t461)) % 31.95/32.19 (define @t499 () (not (tptp.aElementOf0 @t461 @t67))) % 31.95/32.19 (define @t500 () (@list @t461)) % 31.95/32.19 (define @t501 () (forall @t500 (or @t499 (and @t498 (not (forall @t52 (or @t177 (not (= @t137 @t496))))) @t497 @t495)))) % 31.95/32.19 (define @t502 () (and @t127 @t132 @t131 @t501 @t494)) % 31.95/32.19 (define @t503 () (forall @t32 (or @t339 (not @t151)))) % 31.95/32.19 (define @t504 () (and @t503 @t435 @t434)) % 31.95/32.19 (define @t505 () (and @t127 @t501 @t494 @t98 @t187)) % 31.95/32.19 (define @t506 () (or @t405 @t182 @t505 @t504 @t502)) % 31.95/32.19 (define @t507 () (or @t505 @t504 @t502)) % 31.95/32.19 (define @t508 () (not @t503)) % 31.95/32.19 (define @t509 () (not @t508)) % 31.95/32.19 (define @t510 () (and @t509 @t435 @t434)) % 31.95/32.19 (define @t511 () (and @t127 @t501 @t494)) % 31.95/32.19 (define @t512 () (or @t508 @t150 @t148)) % 31.95/32.19 (define @t513 () (=> @t511 @t155)) % 31.95/32.19 (define @t514 () (and @t513 @t512)) % 31.95/32.19 (define @t515 () (=> @t514 @t502)) % 31.95/32.19 (define @t516 () (and @t501 @t494)) % 31.95/32.19 (define @t517 () (not (= @t490 @t488))) % 31.95/32.19 (define @t518 () (or @t491 @t517)) % 31.95/32.19 (define @t519 () (and @t518 @t489 @t487)) % 31.95/32.19 (define @t520 () (or @t492 @t519 @t486)) % 31.95/32.19 (define @t521 () (forall @t493 @t520)) % 31.95/32.19 (define @t522 () (@list @t455)) % 31.95/32.19 (define @t523 () (forall @t522 @t520)) % 31.95/32.19 (define @t524 () (@list @t456)) % 31.95/32.19 (define @t525 () (forall @t522 @t487)) % 31.95/32.19 (define @t526 () (forall @t522 @t489)) % 31.95/32.19 (define @t527 () (forall @t522 @t518)) % 31.95/32.19 (define @t528 () (and @t527 @t526 @t525)) % 31.95/32.19 (define @t529 () (forall @t522 @t519)) % 31.95/32.19 (define @t530 () (or @t492 @t529 @t486)) % 31.95/32.19 (define @t531 () (not (= @t488 @t137))) % 31.95/32.19 (define @t532 () (or @t177 @t531)) % 31.95/32.19 (define @t533 () (forall @t52 @t532)) % 31.95/32.19 (define @t534 () (and @t533 @t489 @t487)) % 31.95/32.19 (define @t535 () (or @t492 @t534 @t486)) % 31.95/32.19 (define @t536 () (forall @t524 @t535)) % 31.95/32.19 (define @t537 () (not (= @t496 @t137))) % 31.95/32.19 (define @t538 () (or @t177 @t537)) % 31.95/32.19 (define @t539 () (forall @t52 @t538)) % 31.95/32.19 (define @t540 () (not @t539)) % 31.95/32.19 (define @t541 () (and @t498 @t540 @t497 @t495)) % 31.95/32.19 (define @t542 () (or @t499 @t541)) % 31.95/32.19 (define @t543 () (forall @t500 @t542)) % 31.95/32.19 (define @t544 () (not @t134)) % 31.95/32.19 (define @t545 () (not @t136)) % 31.95/32.19 (define @t546 () (= @t135 @t137)) % 31.95/32.19 (define @t547 () (forall @t52 (or @t177 (not @t546)))) % 31.95/32.19 (define @t548 () (and @t547 @t545 @t544)) % 31.95/32.19 (define @t549 () (or @t339 @t548 @t133)) % 31.95/32.19 (define @t550 () (forall @t32 @t549)) % 31.95/32.19 (define @t551 () (not @t547)) % 31.95/32.19 (define @t552 () (and @t14 @t551 @t136 @t134)) % 31.95/32.19 (define @t553 () (or (not @t133) @t552)) % 31.95/32.19 (define @t554 () (forall @t32 @t553)) % 31.95/32.19 (define @t555 () (and @t554 @t550)) % 31.95/32.19 (define @t556 () (not @t551)) % 31.95/32.19 (define @t557 () (and @t556 @t545 @t544)) % 31.95/32.19 (define @t558 () (or @t551 @t136 @t134)) % 31.95/32.19 (define @t559 () (and @t14 @t558)) % 31.95/32.19 (define @t560 () (and (=> @t133 @t552) (=> @t559 @t133))) % 31.95/32.19 (define @t561 () (and @t41 @t546)) % 31.95/32.19 (define @t562 () (forall @t52 (not @t561))) % 31.95/32.19 (define @t563 () (not @t562)) % 31.95/32.19 (define @t564 () (forall @t32 (not @t152))) % 31.95/32.19 (define @t565 () (not @t564)) % 31.95/32.19 (define @t566 () (not @t248)) % 31.95/32.19 (define @t567 () (not @t250)) % 31.95/32.19 (define @t568 () (not (= @t249 @t228))) % 31.95/32.19 (define @t569 () (or @t229 @t568)) % 31.95/32.19 (define @t570 () (and @t569 @t567 @t566)) % 31.95/32.19 (define @t571 () (not @t251)) % 31.95/32.19 (define @t572 () (not @t193)) % 31.95/32.19 (define @t573 () (or @t572 @t571 @t233 @t570 @t261)) % 31.95/32.19 (define @t574 () (forall @t451 (or @t405 @t182 @t449 (and (or @t439 (not (= @t149 @t437))) @t435 @t434) @t433))) % 31.95/32.19 (define @t575 () (and (or @t229 (not (= @t228 @t249))) @t567 @t566)) % 31.95/32.19 (define @t576 () (or @t572 @t571 @t233 @t575 @t261)) % 31.95/32.19 (define @t577 () (@list false)) % 31.95/32.19 (define @t578 () (or @t190 @t68)) % 31.95/32.19 (define @t579 () (=> @t425 @t578)) % 31.95/32.19 (define @t580 () (forall @t3 (or @t99 @t120))) % 31.95/32.19 (define @t581 () (or @t580 @t119)) % 31.95/32.19 (define @t582 () (forall @t3 (= @t2 @t120))) % 31.95/32.19 (define @t583 () (and @t124 @t582)) % 31.95/32.19 (define @t584 () (=> @t583 @t581)) % 31.95/32.19 (define @t585 () (=> @t424 @t584)) % 31.95/32.19 (define @t586 () (@list true)) % 31.95/32.19 (define @t587 () (@list @t584)) % 31.95/32.19 (define @t588 () (@quantifiers_skolemize @t580 0)) % 31.95/32.19 (define @t589 () (tptp.aInteger0 @t588)) % 31.95/32.19 (define @t590 () (tptp.aElementOf0 @t588 tptp.cS1395)) % 31.95/32.19 (define @t591 () (= @t589 @t590)) % 31.95/32.19 (define @t592 () (= @t590 @t589)) % 31.95/32.19 (define @t593 () (not @t580)) % 31.95/32.19 (define @t594 () (tptp.aElementOf0 @t588 @t67)) % 31.95/32.19 (define @t595 () (not @t594)) % 31.95/32.19 (define @t596 () (or @t595 @t590)) % 31.95/32.19 (define @t597 () (not @t596)) % 31.95/32.19 (define @t598 () (tptp.aElementOf0 tptp.sz00 @t69)) % 31.95/32.19 (define @t599 () (not @t598)) % 31.95/32.19 (define @t600 () (tptp.sdtpldt0 @t588 @t105)) % 31.95/32.19 (define @t601 () (and @t589 (not (forall @t52 (or @t177 (not (= @t137 @t600))))) (tptp.aDivisorOf0 tptp.xq @t600) (tptp.sdteqdtlpzmzozddtrp0 @t588 tptp.xa tptp.xq))) % 31.95/32.19 (define @t602 () (or @t595 @t601)) % 31.95/32.19 (define @t603 () (and @t127 @t602 @t230 @t224 @t599)) % 31.95/32.19 (define @t604 () (and @t127 @t231 @t598 @t602 @t230)) % 31.95/32.19 (define @t605 () (and (= tptp.sz00 @t25) @t24)) % 31.95/32.19 (define @t606 () (= tptp.sz00 @t228)) % 31.95/32.19 (define @t607 () (and @t606 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xq)))) % 31.95/32.19 (define @t608 () (or @t245 @t607)) % 31.95/32.19 (define @t609 () (@list false false)) % 31.95/32.19 (define @t610 () (and (= tptp.sz00 @t18) @t17)) % 31.95/32.19 (define @t611 () (tptp.smndt0 tptp.sz00)) % 31.95/32.19 (define @t612 () (tptp.sdtpldt0 tptp.sz00 @t611)) % 31.95/32.19 (define @t613 () (= tptp.sz00 @t612)) % 31.95/32.19 (define @t614 () (and @t613 (= tptp.sz00 (tptp.sdtpldt0 @t611 tptp.sz00)))) % 31.95/32.19 (define @t615 () (or @t229 @t614)) % 31.95/32.19 (define @t616 () (= @t612 @t228)) % 31.95/32.19 (define @t617 () (not @t616)) % 31.95/32.19 (define @t618 () (or @t229 @t617)) % 31.95/32.19 (define @t619 () (not @t618)) % 31.95/32.19 (define @t620 () (and @t618 (not (tptp.aDivisorOf0 tptp.xq @t612)) (not (tptp.sdteqdtlpzmzozddtrp0 tptp.sz00 tptp.sz00 tptp.xq)))) % 31.95/32.19 (define @t621 () (not @t620)) % 31.95/32.19 (define @t622 () (and @t127 @t231 @t598 @t232 @t230)) % 31.95/32.19 (define @t623 () (or @t229 @t229 @t603 @t620 @t622)) % 31.95/32.19 (define @t624 () (and @t127 @t232 @t230 @t224 @t599)) % 31.95/32.19 (define @t625 () (or @t229 @t229 @t624 @t620 @t604)) % 31.95/32.19 (define @t626 () (not @t592)) % 31.95/32.19 (assume @p1 (forall @t3 (=> @t2 true))) % 31.95/32.19 (assume @p2 @t4) % 31.95/32.19 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 31.95/32.19 (assume @p4 (forall @t3 (=> @t2 (tptp.aInteger0 @t5)))) % 31.95/32.19 (assume @p5 (forall @t10 (=> @t9 (tptp.aInteger0 @t7)))) % 31.95/32.19 (assume @p6 (forall @t10 (=> @t9 (tptp.aInteger0 @t11)))) % 31.95/32.19 (assume @p7 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t1 @t13) (tptp.sdtpldt0 @t7 @t12))))) % 31.95/32.19 (assume @p8 (forall @t10 (=> @t9 (= @t7 (tptp.sdtpldt0 @t6 @t1))))) % 31.95/32.19 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 31.95/32.19 (assume @p10 @t21) % 31.95/32.19 (assume @p11 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t1 @t22) (tptp.sdtasdt0 @t11 @t12))))) % 31.95/32.19 (assume @p12 (forall @t10 (=> @t9 (= @t11 (tptp.sdtasdt0 @t6 @t1))))) % 31.95/32.19 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 31.95/32.19 (assume @p14 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t11 @t23)) (= (tptp.sdtasdt0 @t7 @t12) (tptp.sdtpldt0 @t23 @t22)))))) % 31.95/32.19 (assume @p15 @t28) % 31.95/32.19 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t29 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t29)))))) % 31.95/32.19 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or @t31 @t30))))) % 31.95/32.19 (assume @p18 (forall @t3 (=> @t2 (forall @t35 (= @t34 (and @t8 @t33 (exists @t32 (and @t14 (= @t22 @t1))))))))) % 31.95/32.19 (assume @p19 (forall @t16 (=> @t38 (= @t36 (tptp.aDivisorOf0 @t12 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t6))))))) % 31.95/32.19 (assume @p20 (forall @t10 (=> @t39 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t6)))) % 31.95/32.19 (assume @p21 (forall @t16 (=> @t38 (=> @t36 (tptp.sdteqdtlpzmzozddtrp0 @t6 @t1 @t12))))) % 31.95/32.19 (assume @p22 (forall @t42 (=> (and @t2 @t8 @t14 @t37 @t41) (=> (and @t36 (tptp.sdteqdtlpzmzozddtrp0 @t6 @t40 @t12)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t40 @t12))))) % 31.95/32.19 (assume @p23 (forall @t42 (=> (and @t2 @t8 @t14 @t37 @t41 (not (= @t40 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 (tptp.sdtasdt0 @t12 @t40)) (and @t36 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 @t40)))))) % 31.95/32.19 (assume @p24 (forall @t3 (=> (and @t2 (not @t31)) (=> (tptp.isPrime0 @t1) true)))) % 31.95/32.19 (assume @p25 (forall @t3 (=> @t2 (= (exists @t35 (and @t34 (tptp.isPrime0 @t6))) (and (not (= @t1 tptp.sz10)) (not (= @t1 @t29))))))) % 31.95/32.19 (assume @p26 (forall @t3 (=> @t43 true))) % 31.95/32.19 (assume @p27 (forall @t3 (=> @t43 (forall @t35 (=> @t44 true))))) % 31.95/32.19 (assume @p28 (forall @t3 (=> @t43 (forall @t35 (= (tptp.aSubsetOf0 @t6 @t1) (and @t47 (forall @t32 (=> @t46 @t45)))))))) % 31.95/32.19 (assume @p29 (forall @t3 (=> @t43 (=> @t48 true)))) % 31.95/32.19 (assume @p30 (forall @t10 (=> @t57 (forall @t32 (= (= @t12 @t54) (and @t53 (forall @t52 (= @t51 (and @t41 (or @t50 @t49)))))))))) % 31.95/32.19 (assume @p31 (forall @t10 (=> @t57 (forall @t32 (= (= @t12 @t58) (and @t53 (forall @t52 (= @t51 (and @t41 @t50 @t49))))))))) % 31.95/32.19 (assume @p32 (forall @t3 (=> (and @t43 (forall @t35 (=> @t44 @t55))) (forall @t35 (= (= @t6 @t59) (and @t47 (forall @t32 (= @t46 (and @t14 (exists @t52 (and @t50 (tptp.aElementOf0 @t12 @t40)))))))))))) % 31.95/32.19 (assume @p33 (forall @t3 (=> @t56 (forall @t35 (= (= @t6 @t60) (and @t47 (forall @t32 (= @t46 (and @t14 (not @t45)))))))))) % 31.95/32.19 (assume @p34 (forall @t10 (=> @t39 (forall @t32 (= (= @t12 @t61) (and @t53 (forall @t52 (= @t51 (and @t41 (tptp.sdteqdtlpzmzozddtrp0 @t40 @t1 @t6)))))))))) % 31.95/32.19 (assume @p35 (forall @t3 (=> @t56 (= @t62 (forall @t35 (=> @t44 (exists @t32 (and @t14 @t37 (tptp.aSubsetOf0 (tptp.szAzrzSzezqlpdtcmdtrp0 @t6 @t12) @t1))))))))) % 31.95/32.19 (assume @p36 (forall @t3 (=> @t56 (= @t63 (tptp.isOpen0 @t60))))) % 31.95/32.19 (assume @p37 (forall @t3 (=> (and @t43 (forall @t35 (=> @t44 (and @t55 @t64)))) (tptp.isOpen0 @t59)))) % 31.95/32.19 (assume @p38 (forall @t10 (=> (and @t56 @t55 @t62 @t64) (tptp.isOpen0 @t58)))) % 31.95/32.19 (assume @p39 (forall @t10 (=> (and @t56 @t55 @t63 @t65) (tptp.isClosed0 @t54)))) % 31.95/32.19 (assume @p40 (forall @t3 (=> (and @t43 @t48 (forall @t35 (=> @t44 (and @t55 @t65)))) (tptp.isClosed0 @t59)))) % 31.95/32.19 (assume @p41 (and (tptp.aInteger0 tptp.xa) @t66 (not (= tptp.xq tptp.sz00)))) % 31.95/32.19 (assume @p42 @t163) % 31.95/32.19 (assume @p43 true) % 31.95/32.19 (step @p44 :rule cnf_implies_neg1 :args (@t190)) % 31.95/32.19 (step @p45 :rule reordering :premises (@p44) :args ((or @t101 @t190))) % 31.95/32.19 (step @p46 :rule cnf_implies_neg2 :args (@t190)) % 31.95/32.19 (step @p47 :rule cnf_and_pos :args (@t101 1)) % 31.95/32.19 (step @p48 :rule reordering :premises (@p47) :args ((or @t100 (not @t101)))) % 31.95/32.19 (step @p49 :rule cnf_or_neg :args (@t189 0)) % 31.95/32.19 (assume-push @p798 @t100) % 31.95/32.19 (step @p51 :rule instantiate :premises (@p798) :args ((@list @t191))) % 31.95/32.19 (step-pop @p799 :rule scope :premises (@p51)) % 31.95/32.19 (step @p52 :rule process_scope :premises (@p799) :args (@t196)) % 31.95/32.19 (step @p54 :rule implies_elim :premises (@p52)) % 31.95/32.19 (step @p55 :rule refl :args (@t212)) % 31.95/32.19 (step @p56 :rule bool-double-not-elim :args (@t188)) % 31.95/32.19 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t213) @t212))) % 31.95/32.19 (step @p58 :rule refl :args (@t198)) % 31.95/32.19 (step @p59 :rule refl :args (@t199)) % 31.95/32.19 (step @p60 :rule refl :args (@t200)) % 31.95/32.19 (step @p61 :rule refl :args (@t201)) % 31.95/32.19 (step @p62 :rule refl :args (@t204)) % 31.95/32.19 (step @p63 :rule eq-symm :args (@t203 @t171)) % 31.95/32.19 (step @p64 :rule cong :premises (@p63) :args (@t214)) % 31.95/32.19 (step @p65 :rule refl :args (@t172)) % 31.95/32.19 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t215)) % 31.95/32.19 (step @p67 :rule nary_cong :premises (@p66 @p62 @p61) :args (@t216)) % 31.95/32.19 (step @p68 :rule refl :args (@t173)) % 31.95/32.19 (step @p69 :rule nary_cong :premises (@p68 @p67 @p60) :args (@t217)) % 31.95/32.19 (step @p70 :rule refl :args (@t206)) % 31.95/32.19 (step @p71 :rule refl :args (@t207)) % 31.95/32.19 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p59 @p58) :args (@t218)) % 31.95/32.19 (step @p73 :rule refl :args (@t181)) % 31.95/32.19 (step @p74 :rule refl :args (@t182)) % 31.95/32.19 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args (@t219)) % 31.95/32.19 (step @p76 :rule cong :premises (@p75) :args (@t220)) % 31.95/32.19 (step @p77 :rule cong :premises (@p76) :args (@t221)) % 31.95/32.19 (step @p78 :rule refl :args (@t210)) % 31.95/32.19 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t222)) % 31.95/32.19 (step @p80 :rule cong :premises (@p79) :args (@t223)) % 31.95/32.19 (step @p81 :rule refl :args (@t213)) % 31.95/32.19 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t213 @t223))) % 31.95/32.19 (assume-push @p800 @t213) % 31.95/32.19 (step @p84 :rule skolemize :premises (@p800)) % 31.95/32.19 (step-pop @p801 :rule scope :premises (@p84)) % 31.95/32.19 (step @p85 :rule process_scope :premises (@p801) :args (@t223)) % 31.95/32.19 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 31.95/32.19 (step @p88 :rule implies_elim :premises (@p87)) % 31.95/32.19 (step @p89 :rule eq_resolve :premises (@p88 @p57)) % 31.95/32.19 (step @p90 :rule bool-double-not-elim :args (@t195)) % 31.95/32.19 (step @p91 :rule refl :args (@t211)) % 31.95/32.19 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t211 (not @t210)))) % 31.95/32.19 (step @p93 :rule cnf_or_neg :args (@t211 0)) % 31.95/32.19 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 31.95/32.19 (step @p95 :rule reordering :premises (@p94) :args ((or @t195 @t211))) % 31.95/32.19 (step @p96 :rule bool-double-not-elim :args (@t208)) % 31.95/32.19 (step @p97 :rule nary_cong :premises (@p91 @p96) :args ((or @t211 (not @t209)))) % 31.95/32.19 (step @p98 :rule cnf_or_neg :args (@t211 1)) % 31.95/32.19 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 31.95/32.19 (step @p100 :rule reordering :premises (@p99) :args ((or @t208 @t211))) % 31.95/32.19 (step @p101 :rule cnf_equiv_pos1 :args (@t196)) % 31.95/32.19 (step @p102 :rule reordering :premises (@p101) :args ((or @t210 @t194 (not @t196)))) % 31.95/32.19 (step @p103 :rule cnf_and_pos :args (@t233 4)) % 31.95/32.19 (step @p104 :rule reordering :premises (@p103) :args ((or @t210 (not @t233)))) % 31.95/32.19 (assume-push @p802 @t208) % 31.95/32.19 (step @p106 :rule instantiate :premises (@p802) :args ((@list tptp.xq @t234 tptp.sz00 tptp.sz00))) % 31.95/32.19 (step-pop @p803 :rule scope :premises (@p106)) % 31.95/32.19 (step @p107 :rule process_scope :premises (@p803) :args (@t246)) % 31.95/32.19 (step @p109 :rule implies_elim :premises (@p107)) % 31.95/32.19 (assume-push @p804 @t208) % 31.95/32.19 (step @p111 :rule instantiate :premises (@p804) :args ((@list tptp.xq @t247 tptp.sz00 tptp.sz00))) % 31.95/32.19 (step-pop @p805 :rule scope :premises (@p111)) % 31.95/32.19 (step @p112 :rule process_scope :premises (@p805) :args (@t257)) % 31.95/32.19 (step @p114 :rule implies_elim :premises (@p112)) % 31.95/32.19 (step @p115 :rule cnf_and_pos :args (@t194 0)) % 31.95/32.19 (step @p116 :rule reordering :premises (@p115) :args ((or @t193 (not @t194)))) % 31.95/32.19 (step @p117 :rule and_elim :premises (@p41) :args (1)) % 31.95/32.19 (step @p118 :rule and_elim :premises (@p41) :args (2)) % 31.95/32.19 (step @p119 :rule symm :premises (@p118)) % 31.95/32.19 (step @p120 :rule cnf_or_pos :args (@t246)) % 31.95/32.19 (step @p121 :rule reordering :premises (@p120) :args ((or @t244 @t245 @t243 (not @t246)))) % 31.95/32.19 (step @p122 :rule cnf_or_pos :args (@t257)) % 31.95/32.19 (step @p123 :rule reordering :premises (@p122) :args ((or @t244 @t245 @t256 (not @t257)))) % 31.95/32.19 (step @p124 :rule cnf_and_pos :args (@t243 3)) % 31.95/32.19 (step @p125 :rule reordering :premises (@p124) :args ((or @t238 (not @t243)))) % 31.95/32.19 (step @p126 :rule cnf_and_pos :args (@t256 1)) % 31.95/32.19 (step @p127 :rule reordering :premises (@p126) :args ((or @t255 (not @t256)))) % 31.95/32.19 (step @p128 :rule refl :args (@t260)) % 31.95/32.19 (step @p129 :rule bool-double-not-elim :args (@t237)) % 31.95/32.19 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t238) @t260))) % 31.95/32.19 (assume-push @p806 @t238) % 31.95/32.19 (step @p132 :rule skolemize :premises (@p806)) % 31.95/32.19 (step-pop @p807 :rule scope :premises (@p132)) % 31.95/32.19 (step @p133 :rule process_scope :premises (@p807) :args (@t260)) % 31.95/32.19 (step @p135 :rule implies_elim :premises (@p133)) % 31.95/32.19 (step @p136 :rule eq_resolve :premises (@p135 @p130)) % 31.95/32.19 (step @p137 :rule bool-double-not-elim :args (@t253)) % 31.95/32.19 (step @p138 :rule refl :args (@t259)) % 31.95/32.19 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t259 (not @t254)))) % 31.95/32.19 (step @p140 :rule cnf_or_neg :args (@t259 0)) % 31.95/32.19 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 31.95/32.19 (step @p142 :rule reordering :premises (@p141) :args ((or @t253 @t259))) % 31.95/32.19 (step @p143 :rule cnf_or_neg :args (@t259 1)) % 31.95/32.19 (step @p144 :rule cnf_or_pos :args (@t255)) % 31.95/32.19 (step @p145 :rule reordering :premises (@p144) :args ((or @t254 @t252 (not @t255)))) % 31.95/32.19 (step @p146 :rule cnf_and_pos :args (@t261 2)) % 31.95/32.19 (step @p147 :rule reordering :premises (@p146) :args ((or @t258 (not @t261)))) % 31.95/32.19 (step @p148 :rule cnf_and_pos :args (@t252 0)) % 31.95/32.19 (step @p149 :rule reordering :premises (@p148) :args ((or @t251 @t262))) % 31.95/32.19 (step @p150 :rule cnf_and_pos :args (@t252 2)) % 31.95/32.19 (step @p151 :rule reordering :premises (@p150) :args ((or @t250 @t262))) % 31.95/32.19 (step @p152 :rule refl :args (@t68)) % 31.95/32.19 (step @p153 :rule refl :args (@t70)) % 31.95/32.19 (step @p154 :rule bool-impl-elim :args (@t94 @t186)) % 31.95/32.19 (step @p155 :rule cong :premises (@p154) :args ((forall @t3 (=> @t94 @t186)))) % 31.95/32.19 (step @p156 :rule quant-merge-prenex :args ((= (forall @t35 @t264) @t185))) % 31.95/32.19 (step @p157 :rule quant-unused-vars :args ((= @t265 @t164))) % 31.95/32.19 (step @p158 :rule quant-unused-vars :args ((= @t266 @t167))) % 31.95/32.19 (step @p159 :rule alpha_equiv :args (@t267 (@list @t168 @t170) (@list @t269 @t268))) % 31.95/32.19 (step @p160 :rule quant-unused-vars :args ((= @t270 @t267))) % 31.95/32.19 (step @p161 :rule trans :premises (@p160 @p159)) % 31.95/32.19 (step @p162 :rule alpha_equiv :args (@t271 (@list @t175) @t273)) % 31.95/32.19 (step @p163 :rule quant-unused-vars :args ((= @t274 @t271))) % 31.95/32.19 (step @p164 :rule trans :premises (@p163 @p162)) % 31.95/32.19 (step @p165 :rule quant-unused-vars :args ((= @t275 @t89))) % 31.95/32.19 (step @p166 :rule nary_cong :premises (@p165 @p164 @p161 @p158 @p157) :args (@t276)) % 31.95/32.19 (step @p167 :rule quant-miniscope-and :args ((= @t277 @t276))) % 31.95/32.19 (step @p168 :rule trans :premises (@p167 @p166)) % 31.95/32.19 (step @p169 :rule refl :args (@t181)) % 31.95/32.19 (step @p170 :rule refl :args (@t182)) % 31.95/32.19 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args (@t278)) % 31.95/32.19 (step @p172 :rule quant-miniscope-or :args ((= @t264 @t278))) % 31.95/32.19 (step @p173 :rule trans :premises (@p172 @p171)) % 31.95/32.19 (step @p174 :rule symm :premises (@p173)) % 31.95/32.19 (step @p175 :rule cong :premises (@p174) :args ((forall @t35 (or @t182 @t181 @t295)))) % 31.95/32.19 (step @p176 :rule trans :premises (@p175 @p156)) % 31.95/32.19 (step @p177 :rule aci_norm :args ((= (and @t296 (and @t167 @t164)) @t295))) % 31.95/32.19 (step @p178 :rule bool-or-de-morgan :args (@t166 @t71 false)) % 31.95/32.19 (step @p179 :rule refl :args (@t296)) % 31.95/32.19 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((and @t296 (not @t297)))) % 31.95/32.19 (step @p181 :rule trans :premises (@p180 @p177)) % 31.95/32.19 (step @p182 :rule bool-implies-de-morgan :args (@t296 @t297)) % 31.95/32.19 (step @p183 :rule trans :premises (@p182 @p181)) % 31.95/32.19 (step @p184 :rule nary_cong :premises (@p170 @p169 @p183) :args ((or @t182 @t181 @t299))) % 31.95/32.19 (step @p185 :rule refl :args (@t299)) % 31.95/32.19 (step @p186 :rule bool-double-not-elim :args (@t181)) % 31.95/32.19 (step @p187 :rule nary_cong :premises (@p170 @p186 @p185) :args (@t302)) % 31.95/32.19 (step @p188 :rule aci_norm :args ((= (or @t182 (or @t301 @t299)) @t302))) % 31.95/32.19 (step @p189 :rule trans :premises (@p188 @p187)) % 31.95/32.19 (step @p190 :rule bool-and-de-morgan :args (@t300 @t298 true)) % 31.95/32.19 (step @p191 :rule nary_cong :premises (@p170 @p190) :args ((or @t182 (not (and @t300 @t298))))) % 31.95/32.19 (step @p192 :rule bool-and-de-morgan :args (@t8 @t300 (and @t298))) % 31.95/32.19 (step @p193 :rule trans :premises (@p192 @p191)) % 31.95/32.19 (step @p194 :rule trans :premises (@p193 @p189)) % 31.95/32.19 (step @p195 :rule trans :premises (@p194 @p184)) % 31.95/32.19 (step @p196 :rule cong :premises (@p195) :args (@t304)) % 31.95/32.19 (step @p197 :rule trans :premises (@p196 @p176)) % 31.95/32.19 (step @p198 :rule cong :premises (@p197) :args (@t305)) % 31.95/32.19 (step @p199 :rule exists-elim :args ((= (exists @t35 @t303) @t305))) % 31.95/32.19 (step @p200 :rule trans :premises (@p199 @p198)) % 31.95/32.19 (step @p201 :rule refl :args (@t71)) % 31.95/32.19 (step @p202 :rule bool-impl-elim :args (@t73 @t72)) % 31.95/32.19 (step @p203 :rule cong :premises (@p202) :args (@t74)) % 31.95/32.19 (step @p204 :rule nary_cong :premises (@p203 @p201) :args (@t75)) % 31.95/32.19 (step @p205 :rule aci_norm :args ((= (and @t89 (and @t294 @t287)) @t296))) % 31.95/32.19 (step @p206 :rule refl :args (@t279)) % 31.95/32.19 (step @p207 :rule refl :args (@t280)) % 31.95/32.19 (step @p208 :rule refl :args (@t282)) % 31.95/32.19 (step @p209 :rule eq-symm :args (@t283 @t281)) % 31.95/32.19 (step @p210 :rule cong :premises (@p209) :args (@t306)) % 31.95/32.19 (step @p211 :rule refl :args (@t284)) % 31.95/32.19 (step @p212 :rule nary_cong :premises (@p211 @p210) :args (@t307)) % 31.95/32.19 (step @p213 :rule nary_cong :premises (@p212 @p208 @p207) :args (@t308)) % 31.95/32.19 (step @p214 :rule refl :args (@t285)) % 31.95/32.19 (step @p215 :rule nary_cong :premises (@p214 @p213 @p206) :args (@t309)) % 31.95/32.19 (step @p216 :rule cong :premises (@p215) :args (@t310)) % 31.95/32.19 (step @p217 :rule quant-merge-prenex :args ((= (forall @t313 @t312) @t310))) % 31.95/32.19 (step @p218 :rule refl :args (@t279)) % 31.95/32.19 (step @p219 :rule quant-unused-vars :args ((= @t314 @t280))) % 31.95/32.19 (step @p220 :rule quant-unused-vars :args ((= @t315 @t282))) % 31.95/32.19 (step @p221 :rule alpha_equiv :args (@t316 (@list @t268) @t317)) % 31.95/32.19 (step @p222 :rule nary_cong :premises (@p221 @p220 @p219) :args (@t318)) % 31.95/32.19 (step @p223 :rule quant-miniscope-and :args ((= @t319 @t318))) % 31.95/32.19 (step @p224 :rule trans :premises (@p223 @p222)) % 31.95/32.19 (step @p225 :rule refl :args (@t285)) % 31.95/32.19 (step @p226 :rule nary_cong :premises (@p225 @p224 @p218) :args (@t320)) % 31.95/32.19 (step @p227 :rule quant-miniscope-or :args ((= @t312 @t320))) % 31.95/32.19 (step @p228 :rule trans :premises (@p227 @p226)) % 31.95/32.19 (step @p229 :rule symm :premises (@p228)) % 31.95/32.19 (step @p230 :rule cong :premises (@p229) :args ((forall @t313 (or @t285 (and (forall @t52 (or @t177 (not (= @t79 @t281)))) @t282 @t280) @t279)))) % 31.95/32.19 (step @p231 :rule trans :premises (@p230 @p217)) % 31.95/32.19 (step @p232 :rule trans :premises (@p231 @p216)) % 31.95/32.19 (step @p233 :rule eq-symm :args (@t281 @t79)) % 31.95/32.19 (step @p234 :rule cong :premises (@p233) :args (@t321)) % 31.95/32.19 (step @p235 :rule refl :args (@t177)) % 31.95/32.19 (step @p236 :rule nary_cong :premises (@p235 @p234) :args (@t322)) % 31.95/32.19 (step @p237 :rule cong :premises (@p236) :args (@t323)) % 31.95/32.19 (step @p238 :rule nary_cong :premises (@p237 @p208 @p207) :args (@t324)) % 31.95/32.19 (step @p239 :rule nary_cong :premises (@p214 @p238 @p206) :args (@t325)) % 31.95/32.19 (step @p240 :rule cong :premises (@p239) :args (@t326)) % 31.95/32.19 (step @p241 :rule trans :premises (@p240 @p232)) % 31.95/32.19 (step @p242 :rule refl :args (@t288)) % 31.95/32.19 (step @p243 :rule refl :args (@t290)) % 31.95/32.19 (step @p244 :rule eq-symm :args (@t289 @t79)) % 31.95/32.19 (step @p245 :rule cong :premises (@p244) :args (@t327)) % 31.95/32.19 (step @p246 :rule nary_cong :premises (@p235 @p245) :args (@t328)) % 31.95/32.19 (step @p247 :rule cong :premises (@p246) :args (@t329)) % 31.95/32.19 (step @p248 :rule cong :premises (@p247) :args (@t330)) % 31.95/32.19 (step @p249 :rule refl :args (@t291)) % 31.95/32.19 (step @p250 :rule nary_cong :premises (@p249 @p248 @p243 @p242) :args (@t331)) % 31.95/32.19 (step @p251 :rule refl :args (@t292)) % 31.95/32.19 (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t332)) % 31.95/32.19 (step @p253 :rule cong :premises (@p252) :args (@t333)) % 31.95/32.19 (step @p254 :rule nary_cong :premises (@p253 @p241) :args ((and @t333 @t326))) % 31.95/32.19 (step @p255 :rule alpha_equiv :args (@t341 @t342 (@list @t269))) % 31.95/32.19 (step @p256 :rule alpha_equiv :args (@t346 @t342 @t273)) % 31.95/32.19 (step @p257 :rule nary_cong :premises (@p256 @p255) :args (@t347)) % 31.95/32.19 (step @p258 :rule quant-miniscope-and :args ((= (forall @t32 (and @t345 @t340)) @t347))) % 31.95/32.19 (step @p259 :rule trans :premises (@p258 @p257)) % 31.95/32.19 (step @p260 :rule trans :premises (@p259 @p254)) % 31.95/32.19 (step @p261 :rule aci_norm :args ((= (or (or @t339 @t338) @t73) @t340))) % 31.95/32.19 (step @p262 :rule refl :args (@t73)) % 31.95/32.19 (step @p263 :rule refl :args (@t334)) % 31.95/32.19 (step @p264 :rule refl :args (@t335)) % 31.95/32.19 (step @p265 :rule bool-double-not-elim :args (@t337)) % 31.95/32.19 (step @p266 :rule nary_cong :premises (@p265 @p264 @p263) :args (@t349)) % 31.95/32.19 (step @p267 :rule aci_norm :args ((= (and @t348 (and @t335 @t334)) @t349))) % 31.95/32.19 (step @p268 :rule trans :premises (@p267 @p266)) % 31.95/32.19 (step @p269 :rule bool-or-de-morgan :args (@t78 @t76 false)) % 31.95/32.19 (step @p270 :rule refl :args (@t348)) % 31.95/32.19 (step @p271 :rule 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31.95/32.19 (step @p522 :rule trans :premises (@p521 @p520)) % 31.95/32.19 (step @p523 :rule nary_cong :premises (@p522 @p496) :args ((or (not @t514) @t502))) % 31.95/32.19 (step @p524 :rule trans :premises (@p523 @p495)) % 31.95/32.19 (step @p525 :rule bool-impl-elim :args (@t514 @t502)) % 31.95/32.19 (step @p526 :rule trans :premises (@p525 @p524)) % 31.95/32.19 (step @p527 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 31.95/32.19 (step @p528 :rule nary_cong :premises (@p527 @p526) :args ((or (not @t9) @t515))) % 31.95/32.19 (step @p529 :rule trans :premises (@p528 @p494)) % 31.95/32.19 (step @p530 :rule bool-impl-elim :args (@t9 @t515)) % 31.95/32.19 (step @p531 :rule trans :premises (@p530 @p529)) % 31.95/32.19 (step @p532 :rule cong :premises (@p531) :args ((forall @t10 (=> @t9 @t515)))) % 31.95/32.19 (step @p533 :rule trans :premises (@p532 @p493)) % 31.95/32.19 (step @p534 :rule aci_norm :args ((= (and @t127 @t516 @t132 @t131) @t502))) % 31.95/32.19 (step @p535 :rule refl 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(step @p578 :rule cong :premises (@p577) :args (@t540)) % 31.95/32.19 (step @p579 :rule refl :args (@t498)) % 31.95/32.19 (step @p580 :rule nary_cong :premises (@p579 @p578 @p573 @p572) :args (@t541)) % 31.95/32.19 (step @p581 :rule refl :args (@t499)) % 31.95/32.19 (step @p582 :rule nary_cong :premises (@p581 @p580) :args (@t542)) % 31.95/32.19 (step @p583 :rule cong :premises (@p582) :args (@t543)) % 31.95/32.19 (step @p584 :rule nary_cong :premises (@p583 @p571) :args ((and @t543 @t536))) % 31.95/32.19 (step @p585 :rule alpha_equiv :args (@t550 @t342 (@list @t456))) % 31.95/32.19 (step @p586 :rule alpha_equiv :args (@t554 @t342 @t462)) % 31.95/32.19 (step @p587 :rule nary_cong :premises (@p586 @p585) :args (@t555)) % 31.95/32.19 (step @p588 :rule quant-miniscope-and :args ((= (forall @t32 (and @t553 @t549)) @t555))) % 31.95/32.19 (step @p589 :rule trans :premises (@p588 @p587)) % 31.95/32.19 (step @p590 :rule trans :premises (@p589 @p584)) % 31.95/32.19 (step @p591 :rule aci_norm :args ((= (or (or @t339 @t548) @t133) @t549))) % 31.95/32.19 (step @p592 :rule refl :args (@t133)) % 31.95/32.19 (step @p593 :rule refl :args (@t544)) % 31.95/32.19 (step @p594 :rule refl :args (@t545)) % 31.95/32.19 (step @p595 :rule bool-double-not-elim :args (@t547)) % 31.95/32.19 (step @p596 :rule nary_cong :premises (@p595 @p594 @p593) :args (@t557)) % 31.95/32.19 (step @p597 :rule aci_norm :args ((= (and @t556 (and @t545 @t544)) @t557))) % 31.95/32.19 (step @p598 :rule trans :premises (@p597 @p596)) % 31.95/32.19 (step @p599 :rule bool-or-de-morgan :args (@t136 @t134 false)) % 31.95/32.19 (step @p600 :rule refl :args (@t556)) % 31.95/32.19 (step @p601 :rule nary_cong :premises (@p600 @p599) :args ((and @t556 (not (or @t136 @t134))))) % 31.95/32.19 (step @p602 :rule bool-or-de-morgan :args (@t551 @t136 (or @t134))) % 31.95/32.19 (step @p603 :rule trans :premises (@p602 @p601)) % 31.95/32.19 (step @p604 :rule trans :premises (@p603 @p598)) % 31.95/32.19 (step @p605 :rule nary_cong :premises (@p275 @p604) :args ((or @t339 (not @t558)))) % 31.95/32.19 (step @p606 :rule bool-and-de-morgan :args (@t14 @t558 true)) % 31.95/32.19 (step @p607 :rule trans :premises (@p606 @p605)) % 31.95/32.19 (step @p608 :rule nary_cong :premises (@p607 @p592) :args ((or (not @t559) @t133))) % 31.95/32.19 (step @p609 :rule trans :premises (@p608 @p591)) % 31.95/32.19 (step @p610 :rule bool-impl-elim :args (@t559 @t133)) % 31.95/32.19 (step @p611 :rule trans :premises (@p610 @p609)) % 31.95/32.19 (step @p612 :rule bool-impl-elim :args (@t133 @t552)) % 31.95/32.19 (step @p613 :rule nary_cong :premises (@p612 @p611) :args (@t560)) % 31.95/32.19 (step @p614 :rule cong :premises (@p613) :args ((forall @t32 @t560))) % 31.95/32.19 (step @p615 :rule trans :premises (@p614 @p590)) % 31.95/32.19 (step @p616 :rule refl :args (@t133)) % 31.95/32.19 (step @p617 :rule refl :args (@t134)) % 31.95/32.19 (step @p618 :rule refl :args (@t136)) % 31.95/32.19 (step @p619 :rule bool-and-de-morgan :args 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31.95/32.19 (step @p633 :rule nary_cong :premises (@p632 @p630) :args (@t145)) % 31.95/32.19 (step @p634 :rule cong :premises (@p633) :args (@t146)) % 31.95/32.19 (step @p635 :rule trans :premises (@p634 @p615)) % 31.95/32.19 (step @p636 :rule nary_cong :premises (@p439 @p635 @p536 @p535) :args (@t147)) % 31.95/32.19 (step @p637 :rule trans :premises (@p636 @p534)) % 31.95/32.19 (step @p638 :rule refl :args (@t148)) % 31.95/32.19 (step @p639 :rule refl :args (@t150)) % 31.95/32.19 (step @p640 :rule bool-and-de-morgan :args (@t14 @t151 true)) % 31.95/32.19 (step @p641 :rule cong :premises (@p640) :args (@t564)) % 31.95/32.19 (step @p642 :rule cong :premises (@p641) :args (@t565)) % 31.95/32.19 (step @p643 :rule exists-elim :args ((= @t153 @t565))) % 31.95/32.19 (step @p644 :rule trans :premises (@p643 @p642)) % 31.95/32.19 (step @p645 :rule nary_cong :premises (@p644 @p639 @p638) :args (@t154)) % 31.95/32.19 (step @p646 :rule refl :args (@t155)) % 31.95/32.19 (step @p647 :rule aci_norm :args ((= (and @t127 @t516) @t511))) % 31.95/32.19 (step @p648 :rule nary_cong :premises (@p439 @p635) :args (@t156)) % 31.95/32.19 (step @p649 :rule trans :premises (@p648 @p647)) % 31.95/32.19 (step @p650 :rule cong :premises (@p649 @p646) :args (@t157)) % 31.95/32.19 (step @p651 :rule nary_cong :premises (@p650 @p645) :args (@t158)) % 31.95/32.19 (step @p652 :rule cong :premises (@p651 @p637) :args (@t159)) % 31.95/32.19 (step @p653 :rule refl :args (@t9)) % 31.95/32.19 (step @p654 :rule cong :premises (@p653 @p652) :args (@t160)) % 31.95/32.19 (step @p655 :rule cong :premises (@p654) :args (@t161)) % 31.95/32.19 (step @p656 :rule trans :premises (@p655 @p533)) % 31.95/32.19 (step @p657 :rule cong :premises (@p656 @p443) :args (@t162)) % 31.95/32.19 (step @p658 :rule cong :premises (@p657) :args (@t163)) % 31.95/32.19 (step @p659 :rule eq_resolve :premises (@p42 @p658)) % 31.95/32.19 (step @p660 :rule not_implies_elim1 :premises (@p659)) % 31.95/32.19 (step @p661 :rule refl :args (@t261)) % 31.95/32.19 (step @p662 :rule refl :args (@t566)) % 31.95/32.19 (step @p663 :rule refl :args (@t567)) % 31.95/32.19 (step @p664 :rule eq-symm :args (@t249 @t228)) % 31.95/32.19 (step @p665 :rule cong :premises (@p664) :args (@t568)) % 31.95/32.19 (step @p666 :rule refl :args (@t229)) % 31.95/32.19 (step @p667 :rule nary_cong :premises (@p666 @p665) :args (@t569)) % 31.95/32.19 (step @p668 :rule nary_cong :premises (@p667 @p663 @p662) :args (@t570)) % 31.95/32.19 (step @p669 :rule refl :args (@t233)) % 31.95/32.19 (step @p670 :rule refl :args (@t571)) % 31.95/32.19 (step @p671 :rule refl :args (@t572)) % 31.95/32.19 (step @p672 :rule nary_cong :premises (@p671 @p670 @p669 @p668 @p661) :args (@t573)) % 31.95/32.19 (step @p673 :rule refl :args (@t574)) % 31.95/32.19 (step @p674 :rule cong :premises (@p673 @p672) :args ((=> @t574 @t573))) % 31.95/32.19 (assume-push @p808 @t574) % 31.95/32.19 (step @p676 :rule instantiate :premises (@p660) :args ((@list @t191 @t247 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00))) % 31.95/32.19 (step-pop @p809 :rule scope :premises (@p676)) % 31.95/32.19 (step @p677 :rule process_scope :premises (@p809) :args (@t573)) % 31.95/32.19 (step @p679 :rule eq_resolve :premises (@p677 @p674)) % 31.95/32.19 (step @p680 :rule implies_elim :premises (@p679)) % 31.95/32.19 (step @p681 :rule chain_m_resolution :premises (@p680 @p660) :args (@t576 @t577 (@list @t574))) % 31.95/32.19 (step @p682 :rule cnf_or_pos :args (@t576)) % 31.95/32.19 (step @p683 :rule reordering :premises (@p682) :args ((or @t572 @t233 @t571 @t261 @t575 (not @t576)))) % 31.95/32.19 (step @p684 :rule cnf_and_pos :args (@t575 1)) % 31.95/32.19 (step @p685 :rule reordering :premises (@p684) :args ((or @t567 (not @t575)))) % 31.95/32.19 (step @p686 :rule chain_m_resolution :premises (@p685 @p683 @p681 @p151 @p149 @p147 @p145 @p143 @p142 @p136 @p127 @p125 @p123 @p119 @p117 @p121 @p119 @p117 @p116 @p114 @p109 @p104 @p102 @p100 @p95 @p89 @p54 @p49 @p48 @p46 @p45) :args (@t190 (@list false false false false true false true false true false true false true false false true false false false false true false false false true false true false true false) (@list @t575 @t576 @t250 @t251 @t261 @t252 @t258 @t253 @t259 @t255 @t237 @t256 @t244 @t66 @t243 @t244 @t66 @t193 @t257 @t246 @t233 @t194 @t208 @t195 @t211 @t196 @t188 @t100 @t189 @t101))) % 31.95/32.19 (step @p687 :rule cnf_or_neg :args (@t578 0)) % 31.95/32.19 (step @p688 :rule chain_m_resolution :premises (@p687 @p686) :args (@t578 @t577 (@list @t190))) % 31.95/32.19 (step @p689 :rule cnf_implies_neg2 :args (@t579)) % 31.95/32.19 (step @p690 :rule chain_m_resolution :premises (@p689 @p688) :args (@t579 @t577 (@list @t578))) % 31.95/32.19 (step @p691 :rule not_implies_elim2 :premises (@p659)) % 31.95/32.19 (step @p692 :rule not_and :premises (@p691)) % 31.95/32.19 (step @p693 :rule chain_m_resolution :premises (@p692 @p690) :args ((not @t585) @t577 (@list @t579))) % 31.95/32.19 (step @p694 :rule cnf_implies_neg2 :args (@t585)) % 31.95/32.19 (step @p695 :rule chain_m_resolution :premises (@p694 @p693) :args ((not @t584) @t586 (@list @t585))) % 31.95/32.19 (step @p696 :rule cnf_implies_neg1 :args (@t584)) % 31.95/32.19 (step @p697 :rule reordering :premises (@p696) :args ((or @t583 @t584))) % 31.95/32.19 (step @p698 :rule chain_m_resolution :premises (@p697 @p695) :args (@t583 @t586 @t587)) % 31.95/32.19 (step @p699 :rule cnf_and_pos :args (@t583 1)) % 31.95/32.19 (step @p700 :rule reordering :premises (@p699) :args ((or @t582 (not @t583)))) % 31.95/32.19 (step @p701 :rule chain_m_resolution :premises (@p700 @p698) :args (@t582 @t577 (@list @t583))) % 31.95/32.19 (step @p702 :rule eq-symm :args (@t589 @t590)) % 31.95/32.19 (step @p703 :rule refl :args (@t582)) % 31.95/32.19 (step @p704 :rule cong :premises (@p703 @p702) :args ((=> @t582 @t591))) % 31.95/32.19 (assume-push @p810 @t582) % 31.95/32.19 (step @p706 :rule instantiate :premises (@p810) :args ((@list @t588))) % 31.95/32.19 (step-pop @p811 :rule scope :premises (@p706)) % 31.95/32.19 (step @p707 :rule process_scope :premises (@p811) :args (@t591)) % 31.95/32.19 (step @p709 :rule eq_resolve :premises (@p707 @p704)) % 31.95/32.19 (step @p710 :rule implies_elim :premises (@p709)) % 31.95/32.19 (step @p711 :rule chain_m_resolution :premises (@p710 @p701) :args (@t592 @t577 (@list @t582))) % 31.95/32.19 (step @p712 :rule cnf_implies_neg2 :args (@t584)) % 31.95/32.19 (step @p713 :rule chain_m_resolution :premises (@p712 @p695) :args ((not @t581) @t586 @t587)) % 31.95/32.19 (step @p714 :rule cnf_or_neg :args (@t581 0)) % 31.95/32.19 (step @p715 :rule chain_m_resolution :premises (@p714 @p713) :args (@t593 @t586 (@list @t581))) % 31.95/32.19 (step @p716 :rule refl :args (@t597)) % 31.95/32.19 (step @p717 :rule bool-double-not-elim :args (@t580)) % 31.95/32.19 (step @p718 :rule nary_cong :premises (@p717 @p716) :args ((or (not @t593) @t597))) % 31.95/32.19 (assume-push @p812 @t593) % 31.95/32.19 (step @p720 :rule skolemize :premises (@p812)) % 31.95/32.19 (step-pop @p813 :rule scope :premises (@p720)) % 31.95/32.19 (step @p721 :rule process_scope :premises (@p813) :args (@t597)) % 31.95/32.19 (step @p723 :rule implies_elim :premises (@p721)) % 31.95/32.19 (step @p724 :rule eq_resolve :premises (@p723 @p718)) % 31.95/32.19 (step @p725 :rule chain_m_resolution :premises (@p724 @p715) :args (@t597 @t586 (@list @t580))) % 31.95/32.19 (step @p726 :rule bool-double-not-elim :args (@t594)) % 31.95/32.19 (step @p727 :rule refl :args (@t596)) % 31.95/32.19 (step @p728 :rule nary_cong :premises (@p727 @p726) :args ((or @t596 (not @t595)))) % 31.95/32.19 (step @p729 :rule cnf_or_neg :args (@t596 0)) % 31.95/32.19 (step @p730 :rule eq_resolve :premises (@p729 @p728)) % 31.95/32.19 (step @p731 :rule reordering :premises (@p730) :args ((or @t594 @t596))) % 31.95/32.19 (step @p732 :rule cnf_or_neg :args (@t596 1)) % 31.95/32.19 (step @p733 :rule cnf_and_pos :args (@t603 1)) % 31.95/32.19 (step @p734 :rule reordering :premises (@p733) :args ((or @t602 (not @t603)))) % 31.95/32.19 (step @p735 :rule cnf_and_pos :args (@t604 3)) % 31.95/32.19 (step @p736 :rule reordering :premises (@p735) :args ((or @t602 (not @t604)))) % 31.95/32.19 (step @p737 :rule bool-impl-elim :args (@t2 @t605)) % 31.95/32.19 (step @p738 :rule cong :premises (@p737) :args ((forall @t3 (=> @t2 @t605)))) % 31.95/32.19 (step @p739 :rule refl :args (@t24)) % 31.95/32.19 (step @p740 :rule eq-symm :args (@t25 tptp.sz00)) % 31.95/32.19 (step @p741 :rule nary_cong :premises (@p740 @p739) :args (@t26)) % 31.95/32.19 (step @p742 :rule cong :premises (@p420 @p741) :args (@t27)) % 31.95/32.19 (step @p743 :rule cong :premises (@p742) :args (@t28)) % 31.95/32.19 (step @p744 :rule trans :premises (@p743 @p738)) % 31.95/32.19 (step @p745 :rule eq_resolve :premises (@p15 @p744)) % 31.95/32.19 (step @p746 :rule instantiate :premises (@p745) :args ((@list tptp.xq))) % 31.95/32.19 (step @p747 :rule cnf_or_pos :args (@t608)) % 31.95/32.19 (step @p748 :rule reordering :premises (@p747) :args ((or @t245 @t607 (not @t608)))) % 31.95/32.19 (step @p749 :rule chain_m_resolution :premises (@p748 @p117 @p746) :args (@t607 @t609 (@list @t66 @t608))) % 31.95/32.19 (step @p750 :rule cnf_and_pos :args (@t607 0)) % 31.95/32.19 (step @p751 :rule reordering :premises (@p750) :args ((or @t606 (not @t607)))) % 31.95/32.19 (step @p752 :rule chain_m_resolution :premises (@p751 @p749) :args (@t606 @t577 (@list @t607))) % 31.95/32.19 (step @p753 :rule bool-impl-elim :args (@t2 @t610)) % 31.95/32.19 (step @p754 :rule cong :premises (@p753) :args ((forall @t3 (=> @t2 @t610)))) % 31.95/32.19 (step @p755 :rule refl :args (@t17)) % 31.95/32.19 (step @p756 :rule eq-symm :args (@t18 tptp.sz00)) % 31.95/32.19 (step @p757 :rule nary_cong :premises (@p756 @p755) :args (@t19)) % 31.95/32.19 (step @p758 :rule cong :premises (@p420 @p757) :args (@t20)) % 31.95/32.19 (step @p759 :rule cong :premises (@p758) :args (@t21)) % 31.95/32.19 (step @p760 :rule trans :premises (@p759 @p754)) % 31.95/32.19 (step @p761 :rule eq_resolve :premises (@p10 @p760)) % 31.95/32.19 (step @p762 :rule instantiate :premises (@p761) :args ((@list tptp.sz00))) % 31.95/32.19 (step @p763 :rule cnf_or_pos :args (@t615)) % 31.95/32.19 (step @p764 :rule reordering :premises (@p763) :args ((or @t229 @t614 (not @t615)))) % 31.95/32.19 (step @p765 :rule chain_m_resolution :premises (@p764 @p2 @p762) :args (@t614 @t609 (@list @t4 @t615))) % 31.95/32.19 (step @p766 :rule cnf_and_pos :args (@t614 0)) % 31.95/32.19 (step @p767 :rule reordering :premises (@p766) :args ((or @t613 (not @t614)))) % 31.95/32.19 (step @p768 :rule chain_m_resolution :premises (@p767 @p765) :args (@t613 @t577 (@list @t614))) % 31.95/32.19 (step @p769 :rule symm :premises (@p768)) % 31.95/32.19 (step @p770 :rule trans :premises (@p769 @p752)) % 31.95/32.19 (step @p771 :rule cnf_or_pos :args (@t618)) % 31.95/32.19 (step @p772 :rule reordering :premises (@p771) :args ((or @t229 @t617 @t619))) % 31.95/32.19 (step @p773 :rule chain_m_resolution :premises (@p772 @p2 @p770) :args (@t619 @t609 (@list @t4 @t616))) % 31.95/32.19 (step @p774 :rule cnf_and_pos :args (@t620 0)) % 31.95/32.19 (step @p775 :rule reordering :premises (@p774) :args ((or @t618 @t621))) % 31.95/32.19 (step @p776 :rule chain_m_resolution :premises (@p775 @p773) :args (@t621 @t586 (@list @t618))) % 31.95/32.19 (step @p777 :rule instantiate :premises (@p660) :args ((@list tptp.sz00 tptp.sz00 @t588 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00))) % 31.95/32.19 (step @p778 :rule cnf_or_pos :args (@t623)) % 31.95/32.19 (step @p779 :rule factoring :premises (@p778)) % 31.95/32.19 (step @p780 :rule reordering :premises (@p779) :args ((or @t229 @t620 @t622 @t603 (not @t623)))) % 31.95/32.19 (step @p781 :rule instantiate :premises (@p660) :args ((@list tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 @t588 tptp.sz00 tptp.sz00))) % 31.95/32.19 (step @p782 :rule cnf_or_pos :args (@t625)) % 31.95/32.19 (step @p783 :rule factoring :premises (@p782)) % 31.95/32.19 (step @p784 :rule reordering :premises (@p783) :args ((or @t229 @t624 @t620 @t604 (not @t625)))) % 31.95/32.19 (step @p785 :rule cnf_and_pos :args (@t622 1)) % 31.95/32.19 (step @p786 :rule reordering :premises (@p785) :args ((or @t231 (not @t622)))) % 31.95/32.19 (step @p787 :rule cnf_and_pos :args (@t624 3)) % 31.95/32.19 (step @p788 :rule reordering :premises (@p787) :args ((or @t224 (not @t624)))) % 31.95/32.19 (step @p789 :rule chain_m_resolution :premises (@p788 @p786 @p784 @p781 @p776 @p2 @p780 @p777 @p776 @p2 @p736 @p734) :args (@t602 (@list true false false true false false false true false true true) (@list @t224 @t624 @t625 @t620 @t4 @t622 @t623 @t620 @t4 @t604 @t603))) % 31.95/32.19 (step @p790 :rule cnf_or_pos :args (@t602)) % 31.95/32.19 (step @p791 :rule reordering :premises (@p790) :args ((or @t595 @t601 (not @t602)))) % 31.95/32.19 (step @p792 :rule cnf_equiv_pos2 :args (@t592)) % 31.95/32.19 (step @p793 :rule reordering :premises (@p792) :args ((or @t590 (not @t589) @t626))) % 31.95/32.19 (step @p794 :rule cnf_and_pos :args (@t601 0)) % 31.95/32.19 (step @p795 :rule reordering :premises (@p794) :args ((or @t589 (not @t601)))) % 31.95/32.19 (step @p796 :rule chain_m_resolution :premises (@p795 @p793 @p791 @p789 @p732 @p731) :args ((or @t596 @t626) (@list true false false true false) (@list @t589 @t601 @t602 @t590 @t594))) % 31.95/32.19 (step @p797 false :rule chain_m_resolution :premises (@p796 @p725 @p711) :args (false (@list true false) (@list @t596 @t592))) % 31.95/32.19 ) % 31.95/32.19 % SZS output end Proof % 31.95/32.19 % cvc5 exiting %------------------------------------------------------------------------------