%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM451+6 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:27 AM UTC 2026 % Result : Theorem 205.62s 205.96s % Output : Proof 205.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM451+6 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:21:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 205.62/205.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 205.62/205.96 --- Run --no-e-matching --full-saturate-quant at 6... % 205.62/205.96 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 205.62/205.96 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 205.62/205.96 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 205.62/205.96 --- Run --trigger-sel=max --full-saturate-quant at 15... % 205.62/205.96 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 205.62/205.96 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 205.62/205.96 --- Run --prenex-quant=none --full-saturate-quant at 30... % 205.62/205.96 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 205.62/205.96 --- Run --relevant-triggers --full-saturate-quant at 30... % 205.62/205.96 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 205.62/205.96 % SZS status Theorem % 205.62/205.96 % SZS output start Proof % 205.62/205.96 ( % 205.62/205.96 (declare-sort $$unsorted 0) % 205.62/205.96 (declare-const tptp.cS2076 $$unsorted) % 205.62/205.96 (declare-const tptp.cS2200 $$unsorted) % 205.62/205.96 (declare-const tptp.isClosed0 (-> $$unsorted Bool)) % 205.62/205.96 (declare-const tptp.isOpen0 (-> $$unsorted Bool)) % 205.62/205.96 (declare-const tptp.stldt0 (-> $$unsorted $$unsorted)) % 205.62/205.96 (declare-const tptp.sdtslmnbsdt0 (-> $$unsorted $$unsorted $$unsorted)) % 205.62/205.96 (declare-const tptp.cS1395 $$unsorted) % 205.62/205.96 (declare-const tptp.xp $$unsorted) % 205.62/205.96 (declare-const tptp.sdtbsmnsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 205.62/205.96 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 205.62/205.96 (declare-const tptp.xS $$unsorted) % 205.62/205.96 (declare-const tptp.szAzrzSzezqlpdtcmdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 205.62/205.96 (declare-const tptp.sbsmnsldt0 (-> $$unsorted $$unsorted)) % 205.62/205.96 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.62/205.96 (declare-const tptp.cS2043 $$unsorted) % 205.62/205.96 (declare-const tptp.sz10 $$unsorted) % 205.62/205.96 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 205.62/205.96 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 205.62/205.96 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 205.62/205.96 (declare-const tptp.sz00 $$unsorted) % 205.62/205.96 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 205.62/205.96 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 205.62/205.96 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 205.62/205.96 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 205.62/205.96 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 205.62/205.96 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 205.62/205.96 (define @t1 () (@var "W0" $$unsorted)) % 205.62/205.96 (define @t2 () (tptp.aInteger0 @t1)) % 205.62/205.96 (define @t3 () (@list @t1)) % 205.62/205.96 (define @t4 () (tptp.aInteger0 tptp.sz00)) % 205.62/205.96 (define @t5 () (tptp.aInteger0 tptp.sz10)) % 205.62/205.96 (define @t6 () (tptp.smndt0 @t1)) % 205.62/205.96 (define @t7 () (tptp.aInteger0 @t6)) % 205.62/205.96 (define @t8 () (forall @t3 (=> @t2 @t7))) % 205.62/205.96 (define @t9 () (@var "W1" $$unsorted)) % 205.62/205.96 (define @t10 () (tptp.sdtpldt0 @t1 @t9)) % 205.62/205.96 (define @t11 () (tptp.aInteger0 @t10)) % 205.62/205.96 (define @t12 () (tptp.aInteger0 @t9)) % 205.62/205.96 (define @t13 () (and @t2 @t12)) % 205.62/205.96 (define @t14 () (@list @t1 @t9)) % 205.62/205.96 (define @t15 () (forall @t14 (=> @t13 @t11))) % 205.62/205.96 (define @t16 () (tptp.sdtasdt0 @t1 @t9)) % 205.62/205.96 (define @t17 () (tptp.aInteger0 @t16)) % 205.62/205.96 (define @t18 () (forall @t14 (=> @t13 @t17))) % 205.62/205.96 (define @t19 () (@var "W2" $$unsorted)) % 205.62/205.96 (define @t20 () (tptp.sdtpldt0 @t9 @t19)) % 205.62/205.96 (define @t21 () (= (tptp.sdtpldt0 @t1 @t20) (tptp.sdtpldt0 @t10 @t19))) % 205.62/205.96 (define @t22 () (tptp.aInteger0 @t19)) % 205.62/205.96 (define @t23 () (and @t2 @t12 @t22)) % 205.62/205.96 (define @t24 () (@list @t1 @t9 @t19)) % 205.62/205.96 (define @t25 () (forall @t24 (=> @t23 @t21))) % 205.62/205.96 (define @t26 () (= @t10 (tptp.sdtpldt0 @t9 @t1))) % 205.62/205.96 (define @t27 () (forall @t14 (=> @t13 @t26))) % 205.62/205.96 (define @t28 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 205.62/205.96 (define @t29 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 205.62/205.96 (define @t30 () (and (= @t29 @t1) @t28)) % 205.62/205.96 (define @t31 () (=> @t2 @t30)) % 205.62/205.96 (define @t32 () (forall @t3 @t31)) % 205.62/205.96 (define @t33 () (= tptp.sz00 (tptp.sdtpldt0 @t6 @t1))) % 205.62/205.96 (define @t34 () (tptp.sdtpldt0 @t1 @t6)) % 205.62/205.96 (define @t35 () (and (= @t34 tptp.sz00) @t33)) % 205.62/205.96 (define @t36 () (=> @t2 @t35)) % 205.62/205.96 (define @t37 () (forall @t3 @t36)) % 205.62/205.96 (define @t38 () (tptp.sdtasdt0 @t9 @t19)) % 205.62/205.96 (define @t39 () (= (tptp.sdtasdt0 @t1 @t38) (tptp.sdtasdt0 @t16 @t19))) % 205.62/205.96 (define @t40 () (forall @t24 (=> @t23 @t39))) % 205.62/205.96 (define @t41 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 205.62/205.96 (define @t42 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 205.62/205.96 (define @t43 () (and (= @t42 @t1) @t41)) % 205.62/205.96 (define @t44 () (=> @t2 @t43)) % 205.62/205.96 (define @t45 () (forall @t3 @t44)) % 205.62/205.96 (define @t46 () (tptp.sdtasdt0 @t1 @t19)) % 205.62/205.96 (define @t47 () (and (= (tptp.sdtasdt0 @t1 @t20) (tptp.sdtpldt0 @t16 @t46)) (= (tptp.sdtasdt0 @t10 @t19) (tptp.sdtpldt0 @t46 @t38)))) % 205.62/205.96 (define @t48 () (forall @t24 (=> @t23 @t47))) % 205.62/205.96 (define @t49 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 205.62/205.96 (define @t50 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 205.62/205.96 (define @t51 () (and (= @t50 tptp.sz00) @t49)) % 205.62/205.96 (define @t52 () (=> @t2 @t51)) % 205.62/205.96 (define @t53 () (forall @t3 @t52)) % 205.62/205.96 (define @t54 () (tptp.smndt0 tptp.sz10)) % 205.62/205.96 (define @t55 () (= @t6 (tptp.sdtasdt0 @t1 @t54))) % 205.62/205.96 (define @t56 () (tptp.sdtasdt0 @t54 @t1)) % 205.62/205.96 (define @t57 () (and (= @t56 @t6) @t55)) % 205.62/205.96 (define @t58 () (=> @t2 @t57)) % 205.62/205.96 (define @t59 () (forall @t3 @t58)) % 205.62/205.96 (define @t60 () (= @t9 tptp.sz00)) % 205.62/205.96 (define @t61 () (= @t1 tptp.sz00)) % 205.62/205.96 (define @t62 () (or @t61 @t60)) % 205.62/205.96 (define @t63 () (=> (= @t16 tptp.sz00) @t62)) % 205.62/205.96 (define @t64 () (=> @t13 @t63)) % 205.62/205.96 (define @t65 () (forall @t14 @t64)) % 205.62/205.96 (define @t66 () (@list @t19)) % 205.62/205.96 (define @t67 () (not @t60)) % 205.62/205.96 (define @t68 () (tptp.aDivisorOf0 @t9 @t1)) % 205.62/205.96 (define @t69 () (@list @t9)) % 205.62/205.96 (define @t70 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t9 @t19)) % 205.62/205.96 (define @t71 () (not (= @t19 tptp.sz00))) % 205.62/205.96 (define @t72 () (and @t2 @t12 @t22 @t71)) % 205.62/205.96 (define @t73 () (and @t2 @t12 @t67)) % 205.62/205.96 (define @t74 () (@var "W3" $$unsorted)) % 205.62/205.96 (define @t75 () (tptp.aInteger0 @t74)) % 205.62/205.96 (define @t76 () (@list @t1 @t9 @t19 @t74)) % 205.62/205.96 (define @t77 () (= @t1 @t54)) % 205.62/205.96 (define @t78 () (= @t1 tptp.sz10)) % 205.62/205.96 (define @t79 () (tptp.isPrime0 @t9)) % 205.62/205.96 (define @t80 () (tptp.aSet0 @t1)) % 205.62/205.96 (define @t81 () (tptp.aElementOf0 @t9 @t1)) % 205.62/205.96 (define @t82 () (tptp.aElementOf0 @t19 @t1)) % 205.62/205.96 (define @t83 () (tptp.aElementOf0 @t19 @t9)) % 205.62/205.96 (define @t84 () (tptp.aSet0 @t9)) % 205.62/205.96 (define @t85 () (tptp.isFinite0 @t1)) % 205.62/205.96 (define @t86 () (tptp.aElementOf0 @t74 @t9)) % 205.62/205.96 (define @t87 () (tptp.aElementOf0 @t74 @t1)) % 205.62/205.96 (define @t88 () (tptp.aElementOf0 @t74 @t19)) % 205.62/205.96 (define @t89 () (@list @t74)) % 205.62/205.96 (define @t90 () (tptp.aSet0 @t19)) % 205.62/205.96 (define @t91 () (tptp.sdtbsmnsldt0 @t1 @t9)) % 205.62/205.96 (define @t92 () (tptp.aSubsetOf0 @t9 tptp.cS1395)) % 205.62/205.96 (define @t93 () (tptp.aSubsetOf0 @t1 tptp.cS1395)) % 205.62/205.96 (define @t94 () (and @t93 @t92)) % 205.62/205.96 (define @t95 () (tptp.sdtslmnbsdt0 @t1 @t9)) % 205.62/205.96 (define @t96 () (tptp.sbsmnsldt0 @t1)) % 205.62/205.96 (define @t97 () (tptp.stldt0 @t1)) % 205.62/205.96 (define @t98 () (tptp.szAzrzSzezqlpdtcmdtrp0 @t1 @t9)) % 205.62/205.96 (define @t99 () (tptp.isOpen0 @t1)) % 205.62/205.96 (define @t100 () (tptp.isClosed0 @t1)) % 205.62/205.96 (define @t101 () (tptp.isOpen0 @t9)) % 205.62/205.96 (define @t102 () (tptp.isClosed0 @t9)) % 205.62/205.96 (define @t103 () (tptp.aElementOf0 @t1 tptp.xS)) % 205.62/205.96 (define @t104 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz00 @t9)) % 205.62/205.96 (define @t105 () (= @t104 @t1)) % 205.62/205.96 (define @t106 () (tptp.aElementOf0 @t19 @t104)) % 205.62/205.96 (define @t107 () (tptp.sdteqdtlpzmzozddtrp0 @t19 tptp.sz00 @t9)) % 205.62/205.96 (define @t108 () (tptp.smndt0 tptp.sz00)) % 205.62/205.96 (define @t109 () (tptp.sdtpldt0 @t19 @t108)) % 205.62/205.96 (define @t110 () (tptp.aDivisorOf0 @t9 @t109)) % 205.62/205.96 (define @t111 () (tptp.sdtasdt0 @t9 @t74)) % 205.62/205.96 (define @t112 () (exists @t89 (and @t75 (= @t111 @t109)))) % 205.62/205.96 (define @t113 () (forall @t66 (and (=> @t106 (and @t22 @t112 @t110 @t107)) (=> (and @t22 (or @t112 @t110 @t107)) @t106)))) % 205.62/205.96 (define @t114 () (tptp.aSet0 @t104)) % 205.62/205.96 (define @t115 () (tptp.sbsmnsldt0 tptp.xS)) % 205.62/205.96 (define @t116 () (tptp.stldt0 @t115)) % 205.62/205.96 (define @t117 () (or @t78 @t77)) % 205.62/205.96 (define @t118 () (tptp.aElementOf0 @t1 @t116)) % 205.62/205.96 (define @t119 () (tptp.aElementOf0 @t1 @t115)) % 205.62/205.96 (define @t120 () (forall @t3 (= @t118 (and @t2 (not @t119))))) % 205.62/205.96 (define @t121 () (forall @t3 (= @t119 (and @t2 (exists @t69 (and (tptp.aElementOf0 @t9 tptp.xS) (tptp.aElementOf0 @t1 @t9))))))) % 205.62/205.96 (define @t122 () (tptp.aSet0 @t115)) % 205.62/205.96 (define @t123 () (tptp.aElementOf0 @t19 @t98)) % 205.62/205.96 (define @t124 () (tptp.sdteqdtlpzmzozddtrp0 @t19 @t1 @t9)) % 205.62/205.96 (define @t125 () (tptp.sdtpldt0 @t19 @t6)) % 205.62/205.96 (define @t126 () (tptp.aDivisorOf0 @t9 @t125)) % 205.62/205.96 (define @t127 () (exists @t89 (and @t75 (= @t111 @t125)))) % 205.62/205.96 (define @t128 () (forall @t3 (=> @t118 (exists @t69 (and @t12 @t67 (tptp.aSet0 @t98) (forall @t66 (and (=> @t123 (and @t22 @t127 @t126 @t124)) (=> (and @t22 (or @t127 @t126 @t124)) @t123))) (forall @t66 (=> @t123 (tptp.aElementOf0 @t19 @t116))) (tptp.aSubsetOf0 @t98 @t116)))))) % 205.62/205.96 (define @t129 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 tptp.xp)) % 205.62/205.96 (define @t130 () (tptp.aElementOf0 @t1 @t129)) % 205.62/205.96 (define @t131 () (tptp.sdteqdtlpzmzozddtrp0 @t1 tptp.sz10 tptp.xp)) % 205.62/205.96 (define @t132 () (tptp.sdtpldt0 @t1 @t54)) % 205.62/205.96 (define @t133 () (tptp.aDivisorOf0 tptp.xp @t132)) % 205.62/205.96 (define @t134 () (tptp.sdtasdt0 tptp.xp @t9)) % 205.62/205.96 (define @t135 () (and @t12 (= @t134 @t132))) % 205.62/205.96 (define @t136 () (exists @t69 @t135)) % 205.62/205.96 (define @t137 () (or @t136 @t133 @t131)) % 205.62/205.96 (define @t138 () (and @t2 @t137)) % 205.62/205.96 (define @t139 () (= tptp.xp tptp.sz00)) % 205.62/205.96 (define @t140 () (tptp.aInteger0 tptp.xp)) % 205.62/205.96 (define @t141 () (and @t117 (tptp.aElementOf0 @t1 tptp.cS2200))) % 205.62/205.96 (define @t142 () (not @t141)) % 205.62/205.96 (define @t143 () (or @t138 @t130)) % 205.62/205.96 (define @t144 () (and @t143 @t142)) % 205.62/205.96 (define @t145 () (exists @t3 @t144)) % 205.62/205.96 (define @t146 () (not @t145)) % 205.62/205.96 (define @t147 () (and (= @t6 @t56) @t55)) % 205.62/205.96 (define @t148 () (@list tptp.sz00)) % 205.62/205.96 (define @t149 () (tptp.sdtasdt0 tptp.sz00 @t54)) % 205.62/205.96 (define @t150 () (= @t108 @t149)) % 205.62/205.96 (define @t151 () (and (= @t108 (tptp.sdtasdt0 @t54 tptp.sz00)) @t150)) % 205.62/205.96 (define @t152 () (not @t4)) % 205.62/205.96 (define @t153 () (or @t152 @t151)) % 205.62/205.96 (define @t154 () (@list false false)) % 205.62/205.96 (define @t155 () (@list false)) % 205.62/205.96 (define @t156 () (not @t12)) % 205.62/205.96 (define @t157 () (not @t2)) % 205.62/205.96 (define @t158 () (or @t157 @t156 @t26)) % 205.62/205.96 (define @t159 () (or @t157 @t156)) % 205.62/205.96 (define @t160 () (not @t13)) % 205.62/205.96 (define @t161 () (tptp.sdtpldt0 tptp.sz00 tptp.sz10)) % 205.62/205.96 (define @t162 () (tptp.sdtpldt0 tptp.sz10 tptp.sz00)) % 205.62/205.96 (define @t163 () (not @t5)) % 205.62/205.96 (define @t164 () (or @t152 @t163 (= @t161 @t162))) % 205.62/205.96 (define @t165 () (forall @t14 @t158)) % 205.62/205.96 (define @t166 () (= @t162 @t161)) % 205.62/205.96 (define @t167 () (or @t152 @t163 @t166)) % 205.62/205.96 (define @t168 () (@list false false false)) % 205.62/205.96 (define @t169 () (and (= @t1 @t29) @t28)) % 205.62/205.96 (define @t170 () (@list tptp.sz10)) % 205.62/205.96 (define @t171 () (= tptp.sz10 @t162)) % 205.62/205.96 (define @t172 () (and @t171 (= tptp.sz10 @t161))) % 205.62/205.96 (define @t173 () (or @t163 @t172)) % 205.62/205.96 (define @t174 () (not @t22)) % 205.62/205.96 (define @t175 () (or @t157 @t156 @t174 @t47)) % 205.62/205.96 (define @t176 () (or @t157 @t156 @t174)) % 205.62/205.96 (define @t177 () (not @t23)) % 205.62/205.96 (define @t178 () (tptp.aInteger0 @t54)) % 205.62/205.96 (define @t179 () (or @t163 @t178)) % 205.62/205.96 (define @t180 () (tptp.sdtasdt0 tptp.sz10 @t54)) % 205.62/205.96 (define @t181 () (tptp.sdtpldt0 @t149 @t180)) % 205.62/205.96 (define @t182 () (= (tptp.sdtasdt0 @t161 @t54) @t181)) % 205.62/205.96 (define @t183 () (tptp.sdtpldt0 tptp.sz10 @t54)) % 205.62/205.96 (define @t184 () (and (= (tptp.sdtasdt0 tptp.sz00 @t183) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.sz00 tptp.sz10) @t149)) @t182)) % 205.62/205.96 (define @t185 () (not @t178)) % 205.62/205.96 (define @t186 () (or @t152 @t163 @t185 @t184)) % 205.62/205.96 (define @t187 () (@list false false false false)) % 205.62/205.96 (define @t188 () (and (= @t1 @t42) @t41)) % 205.62/205.96 (define @t189 () (= @t54 @t180)) % 205.62/205.96 (define @t190 () (tptp.sdtasdt0 @t54 tptp.sz10)) % 205.62/205.96 (define @t191 () (= @t54 @t190)) % 205.62/205.96 (define @t192 () (and @t191 @t189)) % 205.62/205.96 (define @t193 () (or @t185 @t192)) % 205.62/205.96 (define @t194 () (not @t192)) % 205.62/205.96 (define @t195 () (@list @t192)) % 205.62/205.96 (define @t196 () (not @t130)) % 205.62/205.96 (define @t197 () (not @t131)) % 205.62/205.96 (define @t198 () (not @t133)) % 205.62/205.96 (define @t199 () (@var "BOUND_VARIABLE_8774" $$unsorted)) % 205.62/205.96 (define @t200 () (or (not (tptp.aInteger0 @t199)) (not (= @t132 (tptp.sdtasdt0 tptp.xp @t199))))) % 205.62/205.96 (define @t201 () (and @t200 @t198 @t197)) % 205.62/205.96 (define @t202 () (or @t157 @t201)) % 205.62/205.96 (define @t203 () (and @t202 @t196)) % 205.62/205.96 (define @t204 () (or @t203 @t141)) % 205.62/205.96 (define @t205 () (forall (@list @t1 @t199) @t204)) % 205.62/205.96 (define @t206 () (@list @t199)) % 205.62/205.96 (define @t207 () (forall @t206 @t204)) % 205.62/205.96 (define @t208 () (forall @t206 @t196)) % 205.62/205.96 (define @t209 () (forall @t206 @t197)) % 205.62/205.96 (define @t210 () (forall @t206 @t198)) % 205.62/205.96 (define @t211 () (forall @t206 @t200)) % 205.62/205.96 (define @t212 () (and @t211 @t210 @t209)) % 205.62/205.96 (define @t213 () (forall @t206 @t201)) % 205.62/205.96 (define @t214 () (or @t157 @t213)) % 205.62/205.96 (define @t215 () (forall @t206 @t202)) % 205.62/205.96 (define @t216 () (and @t215 @t208)) % 205.62/205.96 (define @t217 () (forall @t206 @t203)) % 205.62/205.96 (define @t218 () (or @t217 @t141)) % 205.62/205.96 (define @t219 () (= @t132 @t134)) % 205.62/205.96 (define @t220 () (forall @t69 (or @t156 (not @t219)))) % 205.62/205.96 (define @t221 () (not @t220)) % 205.62/205.96 (define @t222 () (not @t221)) % 205.62/205.96 (define @t223 () (and @t222 @t198 @t197)) % 205.62/205.96 (define @t224 () (or @t221 @t133 @t131)) % 205.62/205.96 (define @t225 () (and @t2 @t224)) % 205.62/205.96 (define @t226 () (or @t225 @t130)) % 205.62/205.96 (define @t227 () (not @t226)) % 205.62/205.96 (define @t228 () (and @t226 @t142)) % 205.62/205.96 (define @t229 () (forall @t3 (not @t228))) % 205.62/205.96 (define @t230 () (not @t229)) % 205.62/205.96 (define @t231 () (and @t12 @t219)) % 205.62/205.96 (define @t232 () (forall @t69 (not @t231))) % 205.62/205.96 (define @t233 () (not @t232)) % 205.62/205.96 (define @t234 () (tptp.sdtpldt0 tptp.xp @t54)) % 205.62/205.96 (define @t235 () (tptp.aElementOf0 @t234 tptp.cS2200)) % 205.62/205.96 (define @t236 () (or (= @t234 tptp.sz10) (= @t234 @t54))) % 205.62/205.96 (define @t237 () (and @t236 @t235)) % 205.62/205.96 (define @t238 () (not (tptp.aElementOf0 @t234 @t129))) % 205.62/205.96 (define @t239 () (not (tptp.sdteqdtlpzmzozddtrp0 @t234 tptp.sz10 tptp.xp))) % 205.62/205.96 (define @t240 () (tptp.sdtpldt0 @t234 @t54)) % 205.62/205.96 (define @t241 () (not (tptp.aDivisorOf0 tptp.xp @t240))) % 205.62/205.96 (define @t242 () (tptp.smndt0 tptp.xp)) % 205.62/205.96 (define @t243 () (tptp.sdtasdt0 tptp.xp @t242)) % 205.62/205.96 (define @t244 () (not (= @t240 @t243))) % 205.62/205.96 (define @t245 () (tptp.aInteger0 @t242)) % 205.62/205.96 (define @t246 () (not @t245)) % 205.62/205.96 (define @t247 () (or @t246 @t244)) % 205.62/205.96 (define @t248 () (and @t247 @t241 @t239)) % 205.62/205.96 (define @t249 () (tptp.aInteger0 @t234)) % 205.62/205.96 (define @t250 () (not @t249)) % 205.62/205.96 (define @t251 () (or @t250 @t248)) % 205.62/205.96 (define @t252 () (and @t251 @t238)) % 205.62/205.96 (define @t253 () (or @t252 @t237)) % 205.62/205.96 (define @t254 () (= @t54 @t234)) % 205.62/205.96 (define @t255 () (= tptp.sz10 @t234)) % 205.62/205.96 (define @t256 () (or @t255 @t254)) % 205.62/205.96 (define @t257 () (and @t256 @t235)) % 205.62/205.96 (define @t258 () (= @t243 @t240)) % 205.62/205.96 (define @t259 () (not @t258)) % 205.62/205.96 (define @t260 () (or @t246 @t259)) % 205.62/205.96 (define @t261 () (and @t260 @t241 @t239)) % 205.62/205.96 (define @t262 () (or @t250 @t261)) % 205.62/205.96 (define @t263 () (and @t262 @t238)) % 205.62/205.96 (define @t264 () (or @t263 @t257)) % 205.62/205.96 (define @t265 () (@list @t205)) % 205.62/205.96 (define @t266 () (tptp.sdtasdt0 @t54 tptp.xp)) % 205.62/205.96 (define @t267 () (tptp.aInteger0 @t266)) % 205.62/205.96 (define @t268 () (not @t140)) % 205.62/205.96 (define @t269 () (or @t185 @t268 @t267)) % 205.62/205.96 (define @t270 () (@list tptp.xp)) % 205.62/205.96 (define @t271 () (tptp.sdtasdt0 tptp.xp @t54)) % 205.62/205.96 (define @t272 () (= @t242 @t271)) % 205.62/205.96 (define @t273 () (= @t242 @t266)) % 205.62/205.96 (define @t274 () (and @t273 @t272)) % 205.62/205.96 (define @t275 () (or @t268 @t274)) % 205.62/205.96 (define @t276 () (not @t274)) % 205.62/205.96 (define @t277 () (@list @t274)) % 205.62/205.96 (define @t278 () (tptp.sdtasdt0 @t242 @t54)) % 205.62/205.96 (define @t279 () (tptp.sdtpldt0 @t278 @t278)) % 205.62/205.96 (define @t280 () (tptp.sdtpldt0 @t242 @t242)) % 205.62/205.96 (define @t281 () (= (tptp.sdtasdt0 @t280 @t54) @t279)) % 205.62/205.96 (define @t282 () (and (= (tptp.sdtasdt0 @t242 (tptp.sdtpldt0 @t242 @t54)) (tptp.sdtpldt0 (tptp.sdtasdt0 @t242 @t242) @t278)) @t281)) % 205.62/205.96 (define @t283 () (or @t246 @t246 @t185 @t282)) % 205.62/205.96 (define @t284 () (or @t157 @t156 @t174 @t21)) % 205.62/205.96 (define @t285 () (tptp.sdtpldt0 @t242 tptp.xp)) % 205.62/205.96 (define @t286 () (tptp.sdtpldt0 @t285 tptp.sz10)) % 205.62/205.96 (define @t287 () (tptp.sdtpldt0 tptp.xp tptp.sz10)) % 205.62/205.96 (define @t288 () (= (tptp.sdtpldt0 @t242 @t287) @t286)) % 205.62/205.96 (define @t289 () (or @t246 @t268 @t163 @t288)) % 205.62/205.96 (define @t290 () (tptp.sdtpldt0 @t54 @t54)) % 205.62/205.96 (define @t291 () (tptp.sdtpldt0 tptp.xp @t290)) % 205.62/205.96 (define @t292 () (or @t268 @t185 @t185 (= @t291 @t240))) % 205.62/205.96 (define @t293 () (forall @t24 @t284)) % 205.62/205.96 (define @t294 () (@list tptp.xp @t54 @t54)) % 205.62/205.96 (define @t295 () (= @t240 @t291)) % 205.62/205.96 (define @t296 () (or @t268 @t185 @t185 @t295)) % 205.62/205.96 (define @t297 () (or @t157 @t156 @t174 @t39)) % 205.62/205.96 (define @t298 () (tptp.sdtasdt0 @t54 @t54)) % 205.62/205.96 (define @t299 () (tptp.sdtasdt0 tptp.xp @t298)) % 205.62/205.96 (define @t300 () (= @t299 (tptp.sdtasdt0 @t271 @t54))) % 205.62/205.96 (define @t301 () (or @t268 @t185 @t185 @t300)) % 205.62/205.96 (define @t302 () (@list tptp.xp tptp.sz10 @t54)) % 205.62/205.96 (define @t303 () (tptp.sdtpldt0 @t287 @t54)) % 205.62/205.96 (define @t304 () (tptp.sdtpldt0 tptp.xp @t183)) % 205.62/205.96 (define @t305 () (= @t304 @t303)) % 205.62/205.96 (define @t306 () (or @t268 @t163 @t185 @t305)) % 205.62/205.96 (define @t307 () (and (= tptp.sz00 @t34) @t33)) % 205.62/205.96 (define @t308 () (tptp.sdtpldt0 @t54 tptp.sz10)) % 205.62/205.96 (define @t309 () (= tptp.sz00 @t308)) % 205.62/205.96 (define @t310 () (= tptp.sz00 @t183)) % 205.62/205.96 (define @t311 () (and @t310 @t309)) % 205.62/205.96 (define @t312 () (or @t163 @t311)) % 205.62/205.96 (define @t313 () (not @t311)) % 205.62/205.96 (define @t314 () (@list @t311)) % 205.62/205.96 (define @t315 () (tptp.sdtasdt0 tptp.xp @t271)) % 205.62/205.96 (define @t316 () (tptp.sdtasdt0 tptp.xp tptp.xp)) % 205.62/205.96 (define @t317 () (tptp.sdtasdt0 @t316 @t54)) % 205.62/205.96 (define @t318 () (or @t268 @t268 @t185 (= @t315 @t317))) % 205.62/205.96 (define @t319 () (forall @t24 @t297)) % 205.62/205.96 (define @t320 () (= @t317 @t315)) % 205.62/205.96 (define @t321 () (or @t268 @t268 @t185 @t320)) % 205.62/205.96 (define @t322 () (tptp.sdtpldt0 @t271 @t180)) % 205.62/205.96 (define @t323 () (= (tptp.sdtasdt0 @t287 @t54) @t322)) % 205.62/205.96 (define @t324 () (tptp.sdtasdt0 tptp.xp tptp.sz10)) % 205.62/205.96 (define @t325 () (and (= (tptp.sdtasdt0 tptp.xp @t183) (tptp.sdtpldt0 @t324 @t271)) @t323)) % 205.62/205.96 (define @t326 () (or @t268 @t163 @t185 @t325)) % 205.62/205.96 (define @t327 () (tptp.sdtpldt0 @t271 @t271)) % 205.62/205.96 (define @t328 () (tptp.sdtasdt0 tptp.xp @t290)) % 205.62/205.96 (define @t329 () (= @t328 @t327)) % 205.62/205.96 (define @t330 () (and @t329 (= (tptp.sdtasdt0 @t234 @t54) (tptp.sdtpldt0 @t271 @t298)))) % 205.62/205.96 (define @t331 () (or @t268 @t185 @t185 @t330)) % 205.62/205.96 (define @t332 () (tptp.aElementOf0 @t287 tptp.cS2200)) % 205.62/205.96 (define @t333 () (or (= @t287 tptp.sz10) (= @t287 @t54))) % 205.62/205.96 (define @t334 () (and @t333 @t332)) % 205.62/205.96 (define @t335 () (not (tptp.aElementOf0 @t287 @t129))) % 205.62/205.96 (define @t336 () (not (tptp.sdteqdtlpzmzozddtrp0 @t287 tptp.sz10 tptp.xp))) % 205.62/205.96 (define @t337 () (not (tptp.aDivisorOf0 tptp.xp @t303))) % 205.62/205.96 (define @t338 () (not (= @t303 @t324))) % 205.62/205.96 (define @t339 () (or @t163 @t338)) % 205.62/205.96 (define @t340 () (and @t339 @t337 @t336)) % 205.62/205.96 (define @t341 () (tptp.aInteger0 @t287)) % 205.62/205.96 (define @t342 () (not @t341)) % 205.62/205.96 (define @t343 () (or @t342 @t340)) % 205.62/205.96 (define @t344 () (and @t343 @t335)) % 205.62/205.96 (define @t345 () (or @t344 @t334)) % 205.62/205.96 (define @t346 () (= @t54 @t287)) % 205.62/205.96 (define @t347 () (= tptp.sz10 @t287)) % 205.62/205.96 (define @t348 () (or @t347 @t346)) % 205.62/205.96 (define @t349 () (and @t348 @t332)) % 205.62/205.96 (define @t350 () (= @t324 @t303)) % 205.62/205.96 (define @t351 () (not @t350)) % 205.62/205.96 (define @t352 () (or @t163 @t351)) % 205.62/205.96 (define @t353 () (and @t352 @t337 @t336)) % 205.62/205.96 (define @t354 () (or @t342 @t353)) % 205.62/205.96 (define @t355 () (and @t354 @t335)) % 205.62/205.96 (define @t356 () (or @t355 @t349)) % 205.62/205.96 (define @t357 () (tptp.sdtpldt0 tptp.xp tptp.sz00)) % 205.62/205.96 (define @t358 () (tptp.sdtpldt0 tptp.sz00 tptp.xp)) % 205.62/205.96 (define @t359 () (= tptp.xp @t357)) % 205.62/205.96 (define @t360 () (and @t359 (= tptp.xp @t358))) % 205.62/205.96 (define @t361 () (or @t268 @t360)) % 205.62/205.96 (define @t362 () (tptp.sdtasdt0 tptp.sz10 tptp.xp)) % 205.62/205.96 (define @t363 () (= tptp.xp @t362)) % 205.62/205.96 (define @t364 () (= tptp.xp @t324)) % 205.62/205.96 (define @t365 () (and @t364 @t363)) % 205.62/205.96 (define @t366 () (or @t268 @t365)) % 205.62/205.96 (define @t367 () (not @t365)) % 205.62/205.96 (define @t368 () (@list @t365)) % 205.62/205.96 (define @t369 () (not @t352)) % 205.62/205.96 (define @t370 () (not @t353)) % 205.62/205.96 (define @t371 () (@list true)) % 205.62/205.96 (define @t372 () (or @t268 @t163 @t341)) % 205.62/205.96 (define @t373 () (not @t354)) % 205.62/205.96 (define @t374 () (@list false true)) % 205.62/205.96 (define @t375 () (not @t355)) % 205.62/205.96 (define @t376 () (@list true false)) % 205.62/205.96 (define @t377 () (= tptp.sz00 tptp.xp)) % 205.62/205.96 (define @t378 () (and @t359 @t347 @t310 @t305)) % 205.62/205.96 (define @t379 () (not @t347)) % 205.62/205.96 (define @t380 () (not @t305)) % 205.62/205.96 (define @t381 () (not @t310)) % 205.62/205.96 (define @t382 () (not @t359)) % 205.62/205.96 (define @t383 () (= tptp.sz00 @t285)) % 205.62/205.96 (define @t384 () (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xp @t242)) @t383)) % 205.62/205.96 (define @t385 () (or @t268 @t384)) % 205.62/205.96 (define @t386 () (tptp.sdtpldt0 tptp.xp tptp.xp)) % 205.62/205.96 (define @t387 () (and @t359 @t383 @t364 @t272 @t346 @t166 @t171 @t329 @t323 @t320 @t310 @t189 @t305 @t300 @t295 @t288 @t281)) % 205.62/205.96 (define @t388 () (not @t295)) % 205.62/205.96 (define @t389 () (not @t189)) % 205.62/205.96 (define @t390 () (not @t329)) % 205.62/205.96 (define @t391 () (not @t171)) % 205.62/205.96 (define @t392 () (not @t166)) % 205.62/205.96 (define @t393 () (not @t346)) % 205.62/205.96 (define @t394 () (not @t272)) % 205.62/205.96 (define @t395 () (not @t364)) % 205.62/205.96 (define @t396 () (not @t260)) % 205.62/205.96 (define @t397 () (not @t261)) % 205.62/205.96 (define @t398 () (or @t268 @t185 @t249)) % 205.62/205.96 (define @t399 () (not @t262)) % 205.62/205.96 (define @t400 () (not @t263)) % 205.62/205.96 (define @t401 () (@list tptp.xp @t54 tptp.sz10)) % 205.62/205.96 (define @t402 () (tptp.sdtpldt0 @t324 @t190)) % 205.62/205.96 (define @t403 () (tptp.sdtasdt0 @t234 tptp.sz10)) % 205.62/205.96 (define @t404 () (= @t403 @t402)) % 205.62/205.96 (define @t405 () (and (= (tptp.sdtasdt0 tptp.xp @t308) (tptp.sdtpldt0 @t271 @t324)) @t404)) % 205.62/205.96 (define @t406 () (or @t268 @t185 @t163 @t405)) % 205.62/205.96 (define @t407 () (tptp.sdtasdt0 tptp.sz10 tptp.sz10)) % 205.62/205.96 (define @t408 () (= tptp.sz10 @t407)) % 205.62/205.96 (define @t409 () (and @t408 @t408)) % 205.62/205.96 (define @t410 () (or @t163 @t409)) % 205.62/205.96 (define @t411 () (forall @t3 (or @t157 @t188))) % 205.62/205.96 (define @t412 () (or @t163 @t408)) % 205.62/205.96 (define @t413 () (tptp.sdtpldt0 tptp.sz10 tptp.sz10)) % 205.62/205.96 (define @t414 () (tptp.sdtasdt0 @t413 tptp.xp)) % 205.62/205.96 (define @t415 () (tptp.sdtpldt0 @t362 @t362)) % 205.62/205.96 (define @t416 () (= (tptp.sdtasdt0 tptp.sz10 (tptp.sdtpldt0 tptp.sz10 tptp.xp)) (tptp.sdtpldt0 @t407 @t362))) % 205.62/205.96 (define @t417 () (and @t416 (= @t414 @t415))) % 205.62/205.96 (define @t418 () (or @t163 @t163 @t268 @t417)) % 205.62/205.96 (define @t419 () (forall @t24 @t175)) % 205.62/205.96 (define @t420 () (= @t415 @t414)) % 205.62/205.96 (define @t421 () (and @t416 @t420)) % 205.62/205.96 (define @t422 () (or @t163 @t163 @t268 @t421)) % 205.62/205.96 (define @t423 () (tptp.sdtpldt0 tptp.xp @t308)) % 205.62/205.96 (define @t424 () (= @t423 (tptp.sdtpldt0 @t234 tptp.sz10))) % 205.62/205.96 (define @t425 () (or @t268 @t185 @t163 @t424)) % 205.62/205.96 (define @t426 () (= tptp.sz00 @t9)) % 205.62/205.96 (define @t427 () (= tptp.sz00 @t16)) % 205.62/205.96 (define @t428 () (not @t427)) % 205.62/205.96 (define @t429 () (or @t157 @t156 @t428 @t61 @t426)) % 205.62/205.96 (define @t430 () (or @t428 @t61 @t426)) % 205.62/205.96 (define @t431 () (or @t61 @t426)) % 205.62/205.96 (define @t432 () (=> @t427 @t431)) % 205.62/205.96 (define @t433 () (= tptp.sz00 @t316)) % 205.62/205.96 (define @t434 () (not @t433)) % 205.62/205.96 (define @t435 () (or @t268 @t268 @t434 @t139 @t377)) % 205.62/205.96 (define @t436 () (forall @t14 @t429)) % 205.62/205.96 (define @t437 () (or @t268 @t268 @t434 @t377 @t377)) % 205.62/205.96 (define @t438 () (tptp.sdtpldt0 @t266 @t266)) % 205.62/205.96 (define @t439 () (= tptp.sz00 @t438)) % 205.62/205.96 (define @t440 () (not @t439)) % 205.62/205.96 (define @t441 () (not @t273)) % 205.62/205.96 (define @t442 () (and @t359 @t273 @t272 @t434 @t346 @t329 @t310 @t305)) % 205.62/205.96 (define @t443 () (= @t162 @t403)) % 205.62/205.96 (define @t444 () (and @t359 @t364 @t363 @t273 @t272 @t346 @t171 @t408 @t329 @t420 @t404 @t310 @t309 @t191 @t443 @t424 @t305 @t295)) % 205.62/205.96 (define @t445 () (not @t424)) % 205.62/205.96 (define @t446 () (not @t443)) % 205.62/205.96 (define @t447 () (not @t191)) % 205.62/205.96 (define @t448 () (not @t309)) % 205.62/205.96 (define @t449 () (not @t404)) % 205.62/205.96 (define @t450 () (not @t363)) % 205.62/205.96 (define @t451 () (not @t255)) % 205.62/205.96 (define @t452 () (tptp.sdtpldt0 @t362 @t54)) % 205.62/205.96 (define @t453 () (and @t364 @t363 @t171 @t404 @t191 @t446)) % 205.62/205.96 (define @t454 () (not @t254)) % 205.62/205.96 (define @t455 () (= @t54 @t452)) % 205.62/205.96 (define @t456 () (not @t455)) % 205.62/205.96 (define @t457 () (and @t363 @t456)) % 205.62/205.96 (define @t458 () (tptp.sdtpldt0 tptp.sz00 tptp.sz00)) % 205.62/205.96 (define @t459 () (= tptp.sz00 @t458)) % 205.62/205.96 (define @t460 () (and @t459 @t459)) % 205.62/205.96 (define @t461 () (or @t152 @t460)) % 205.62/205.96 (define @t462 () (forall @t3 (or @t157 @t169))) % 205.62/205.96 (define @t463 () (or @t152 @t459)) % 205.62/205.96 (define @t464 () (tptp.sdtpldt0 tptp.sz00 @t54)) % 205.62/205.96 (define @t465 () (tptp.sdtpldt0 @t464 tptp.sz10)) % 205.62/205.96 (define @t466 () (= (tptp.sdtpldt0 tptp.sz00 @t308) @t465)) % 205.62/205.96 (define @t467 () (or @t152 @t185 @t163 @t466)) % 205.62/205.96 (define @t468 () (= @t464 @t234)) % 205.62/205.96 (define @t469 () (and @t459 @t359 @t468 @t309 @t424 @t466)) % 205.62/205.96 (define @t470 () (not @t468)) % 205.62/205.96 (define @t471 () (= @t54 @t464)) % 205.62/205.96 (define @t472 () (not @t471)) % 205.62/205.96 (define @t473 () (and @t363 @t470 @t471)) % 205.62/205.96 (define @t474 () (= @t54 @t403)) % 205.62/205.96 (define @t475 () (not @t474)) % 205.62/205.96 (define @t476 () (and @t364 @t363 @t404 @t191 @t475)) % 205.62/205.96 (define @t477 () (tptp.sdtasdt0 tptp.sz00 tptp.xp)) % 205.62/205.96 (define @t478 () (tptp.sdtasdt0 tptp.sz00 @t234)) % 205.62/205.96 (define @t479 () (= @t478 (tptp.sdtpldt0 @t477 @t149))) % 205.62/205.96 (define @t480 () (and @t479 (= (tptp.sdtasdt0 @t358 @t54) (tptp.sdtpldt0 @t149 @t271)))) % 205.62/205.96 (define @t481 () (or @t152 @t268 @t185 @t480)) % 205.62/205.96 (define @t482 () (and (= tptp.sz00 @t50) @t49)) % 205.62/205.96 (define @t483 () (= tptp.sz00 @t477)) % 205.62/205.96 (define @t484 () (and (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.sz00)) @t483)) % 205.62/205.96 (define @t485 () (or @t268 @t484)) % 205.62/205.96 (define @t486 () (tptp.sdtpldt0 tptp.sz00 @t108)) % 205.62/205.96 (define @t487 () (= tptp.sz00 @t486)) % 205.62/205.96 (define @t488 () (and @t487 (= tptp.sz00 (tptp.sdtpldt0 @t108 tptp.sz00)))) % 205.62/205.96 (define @t489 () (or @t152 @t488)) % 205.62/205.96 (define @t490 () (= tptp.sz00 @t108)) % 205.62/205.96 (define @t491 () (and @t487 @t364 @t483 @t150 @t404 @t479 @t191 @t474)) % 205.62/205.96 (define @t492 () (not @t150)) % 205.62/205.96 (define @t493 () (and @t150 @t490 @t166 @t171 @t182 @t189)) % 205.62/205.96 (assume @p1 (forall @t3 (=> @t2 true))) % 205.62/205.96 (assume @p2 @t4) % 205.62/205.96 (assume @p3 @t5) % 205.62/205.96 (assume @p4 @t8) % 205.62/205.96 (assume @p5 @t15) % 205.62/205.96 (assume @p6 @t18) % 205.62/205.96 (assume @p7 @t25) % 205.62/205.96 (assume @p8 @t27) % 205.62/205.96 (assume @p9 @t32) % 205.62/205.96 (assume @p10 @t37) % 205.62/205.96 (assume @p11 @t40) % 205.62/205.96 (assume @p12 (forall @t14 (=> @t13 (= @t16 (tptp.sdtasdt0 @t9 @t1))))) % 205.62/205.96 (assume @p13 @t45) % 205.62/205.96 (assume @p14 @t48) % 205.62/205.96 (assume @p15 @t53) % 205.62/205.96 (assume @p16 @t59) % 205.62/205.96 (assume @p17 @t65) % 205.62/205.96 (assume @p18 (forall @t3 (=> @t2 (forall @t69 (= @t68 (and @t12 @t67 (exists @t66 (and @t22 (= @t38 @t1))))))))) % 205.62/205.96 (assume @p19 (forall @t24 (=> @t72 (= @t70 (tptp.aDivisorOf0 @t19 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t9))))))) % 205.62/205.96 (assume @p20 (forall @t14 (=> @t73 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t9)))) % 205.62/205.96 (assume @p21 (forall @t24 (=> @t72 (=> @t70 (tptp.sdteqdtlpzmzozddtrp0 @t9 @t1 @t19))))) % 205.62/205.96 (assume @p22 (forall @t76 (=> (and @t2 @t12 @t22 @t71 @t75) (=> (and @t70 (tptp.sdteqdtlpzmzozddtrp0 @t9 @t74 @t19)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t74 @t19))))) % 205.62/205.96 (assume @p23 (forall @t76 (=> (and @t2 @t12 @t22 @t71 @t75 (not (= @t74 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 @t1 @t9 (tptp.sdtasdt0 @t19 @t74)) (and @t70 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t9 @t74)))))) % 205.62/205.96 (assume @p24 (forall @t3 (=> (and @t2 (not @t61)) (=> (tptp.isPrime0 @t1) true)))) % 205.62/205.96 (assume @p25 (forall @t3 (=> @t2 (= (exists @t69 (and @t68 @t79)) (and (not @t78) (not @t77)))))) % 205.62/205.96 (assume @p26 (forall @t3 (=> @t80 true))) % 205.62/205.96 (assume @p27 (forall @t3 (=> @t80 (forall @t69 (=> @t81 true))))) % 205.62/205.96 (assume @p28 (forall @t3 (=> @t80 (forall @t69 (= (tptp.aSubsetOf0 @t9 @t1) (and @t84 (forall @t66 (=> @t83 @t82)))))))) % 205.62/205.96 (assume @p29 (forall @t3 (=> @t80 (=> @t85 true)))) % 205.62/205.96 (assume @p30 (forall @t14 (=> @t94 (forall @t66 (= (= @t19 @t91) (and @t90 (forall @t89 (= @t88 (and @t75 (or @t87 @t86)))))))))) % 205.62/205.96 (assume @p31 (forall @t14 (=> @t94 (forall @t66 (= (= @t19 @t95) (and @t90 (forall @t89 (= @t88 (and @t75 @t87 @t86))))))))) % 205.62/205.96 (assume @p32 (forall @t3 (=> (and @t80 (forall @t69 (=> @t81 @t92))) (forall @t69 (= (= @t9 @t96) (and @t84 (forall @t66 (= @t83 (and @t22 (exists @t89 (and @t87 (tptp.aElementOf0 @t19 @t74)))))))))))) % 205.62/205.96 (assume @p33 (forall @t3 (=> @t93 (forall @t69 (= (= @t9 @t97) (and @t84 (forall @t66 (= @t83 (and @t22 (not @t82)))))))))) % 205.62/205.96 (assume @p34 (forall @t14 (=> @t73 (forall @t66 (= (= @t19 @t98) (and @t90 (forall @t89 (= @t88 (and @t75 (tptp.sdteqdtlpzmzozddtrp0 @t74 @t1 @t9)))))))))) % 205.62/205.96 (assume @p35 (forall @t3 (=> @t93 (= @t99 (forall @t69 (=> @t81 (exists @t66 (and @t22 @t71 (tptp.aSubsetOf0 (tptp.szAzrzSzezqlpdtcmdtrp0 @t9 @t19) @t1))))))))) % 205.62/205.96 (assume @p36 (forall @t3 (=> @t93 (= @t100 (tptp.isOpen0 @t97))))) % 205.62/205.96 (assume @p37 (forall @t3 (=> (and @t80 (forall @t69 (=> @t81 (and @t92 @t101)))) (tptp.isOpen0 @t96)))) % 205.62/205.96 (assume @p38 (forall @t14 (=> (and @t93 @t92 @t99 @t101) (tptp.isOpen0 @t95)))) % 205.62/205.96 (assume @p39 (forall @t14 (=> (and @t93 @t92 @t100 @t102) (tptp.isClosed0 @t91)))) % 205.62/205.96 (assume @p40 (forall @t3 (=> (and @t80 @t85 (forall @t69 (=> @t81 (and @t92 @t102)))) (tptp.isClosed0 @t96)))) % 205.62/205.96 (assume @p41 (forall @t14 (=> @t73 (and (tptp.aSubsetOf0 @t98 tptp.cS1395) (tptp.isClosed0 @t98))))) % 205.62/205.96 (assume @p42 (and (tptp.aSet0 tptp.xS) (forall @t3 (and (=> @t103 (exists @t69 (and @t12 @t67 @t79 @t114 @t113 @t105))) (=> (exists @t69 (and @t12 @t67 @t79 (=> (and @t114 @t113) @t105))) @t103))) (= tptp.xS tptp.cS2043))) % 205.62/205.96 (assume @p43 (and @t122 @t121 (tptp.aSet0 @t116) @t120 (forall @t3 (= @t118 @t117)) (= @t116 tptp.cS2076))) % 205.62/205.96 (assume @p44 (tptp.isFinite0 tptp.xS)) % 205.62/205.96 (assume @p45 (and @t122 @t121 @t120 @t128 (tptp.isOpen0 @t116) (tptp.isClosed0 @t115) @t122 @t121 @t120 @t128)) % 205.62/205.96 (assume @p46 (and @t140 (not @t139) (tptp.aSet0 @t129) (forall @t3 (and (=> @t130 (and @t2 @t136 @t133 @t131)) (=> @t138 @t130))) @t122 @t121 @t120 (forall @t3 (=> @t130 @t118)) (tptp.aSubsetOf0 @t129 @t116))) % 205.62/205.96 (assume @p47 @t146) % 205.62/205.96 (assume @p48 true) % 205.62/205.96 (step @p49 :rule bool-impl-elim :args (@t2 @t147)) % 205.62/205.96 (step @p50 :rule cong :premises (@p49) :args ((forall @t3 (=> @t2 @t147)))) % 205.62/205.96 (step @p51 :rule refl :args (@t55)) % 205.62/205.96 (step @p52 :rule eq-symm :args (@t56 @t6)) % 205.62/205.96 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t57)) % 205.62/205.96 (step @p54 :rule refl :args (@t2)) % 205.62/205.96 (step @p55 :rule cong :premises (@p54 @p53) :args (@t58)) % 205.62/205.96 (step @p56 :rule cong :premises (@p55) :args (@t59)) % 205.62/205.96 (step @p57 :rule trans :premises (@p56 @p50)) % 205.62/205.96 (step @p58 :rule eq_resolve :premises (@p16 @p57)) % 205.62/205.96 (step @p59 :rule instantiate :premises (@p58) :args (@t148)) % 205.62/205.96 (step @p60 :rule cnf_or_pos :args (@t153)) % 205.62/205.96 (step @p61 :rule reordering :premises (@p60) :args ((or @t152 @t151 (not @t153)))) % 205.62/205.96 (step @p62 :rule chain_m_resolution :premises (@p61 @p2 @p59) :args (@t151 @t154 (@list @t4 @t153))) % 205.62/205.96 (step @p63 :rule cnf_and_pos :args (@t151 1)) % 205.62/205.96 (step @p64 :rule reordering :premises (@p63) :args ((or @t150 (not @t151)))) % 205.62/205.96 (step @p65 :rule chain_m_resolution :premises (@p64 @p62) :args (@t150 @t155 (@list @t151))) % 205.62/205.96 (step @p66 :rule aci_norm :args ((= (or @t159 @t26) @t158))) % 205.62/205.96 (step @p67 :rule refl :args (@t26)) % 205.62/205.96 (step @p68 :rule bool-and-de-morgan :args (@t2 @t12 true)) % 205.62/205.96 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t160 @t26))) % 205.62/205.96 (step @p70 :rule trans :premises (@p69 @p66)) % 205.62/205.96 (step @p71 :rule bool-impl-elim :args (@t13 @t26)) % 205.62/205.96 (step @p72 :rule trans :premises (@p71 @p70)) % 205.62/205.96 (step @p73 :rule cong :premises (@p72) :args (@t27)) % 205.62/205.96 (step @p74 :rule eq_resolve :premises (@p8 @p73)) % 205.62/205.96 (step @p75 :rule eq-symm :args (@t161 @t162)) % 205.62/205.96 (step @p76 :rule refl :args (@t163)) % 205.62/205.96 (step @p77 :rule refl :args (@t152)) % 205.62/205.96 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args (@t164)) % 205.62/205.96 (step @p79 :rule refl :args (@t165)) % 205.62/205.96 (step @p80 :rule cong :premises (@p79 @p78) :args ((=> @t165 @t164))) % 205.62/205.96 (assume-push @p1196 @t165) % 205.62/205.96 (step @p82 :rule instantiate :premises (@p74) :args ((@list tptp.sz00 tptp.sz10))) % 205.62/205.96 (step-pop @p1197 :rule scope :premises (@p82)) % 205.62/205.96 (step @p83 :rule process_scope :premises (@p1197) :args (@t164)) % 205.62/205.96 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 205.62/205.96 (step @p86 :rule implies_elim :premises (@p85)) % 205.62/205.96 (step @p87 :rule chain_m_resolution :premises (@p86 @p74) :args (@t167 @t155 (@list @t165))) % 205.62/205.96 (step @p88 :rule cnf_or_pos :args (@t167)) % 205.62/205.96 (step @p89 :rule reordering :premises (@p88) :args ((or @t152 @t163 @t166 (not @t167)))) % 205.62/205.96 (step @p90 :rule chain_m_resolution :premises (@p89 @p2 @p3 @p87) :args (@t166 @t168 (@list @t4 @t5 @t167))) % 205.62/205.96 (step @p91 :rule bool-impl-elim :args (@t2 @t169)) % 205.62/205.96 (step @p92 :rule cong :premises (@p91) :args ((forall @t3 (=> @t2 @t169)))) % 205.62/205.96 (step @p93 :rule refl :args (@t28)) % 205.62/205.96 (step @p94 :rule eq-symm :args (@t29 @t1)) % 205.62/205.96 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t30)) % 205.62/205.96 (step @p96 :rule cong :premises (@p54 @p95) :args (@t31)) % 205.62/205.96 (step @p97 :rule cong :premises (@p96) :args (@t32)) % 205.62/205.96 (step @p98 :rule trans :premises (@p97 @p92)) % 205.62/205.96 (step @p99 :rule eq_resolve :premises (@p9 @p98)) % 205.62/205.96 (step @p100 :rule instantiate :premises (@p99) :args (@t170)) % 205.62/205.96 (step @p101 :rule cnf_or_pos :args (@t173)) % 205.62/205.96 (step @p102 :rule reordering :premises (@p101) :args ((or @t163 @t172 (not @t173)))) % 205.62/205.96 (step @p103 :rule chain_m_resolution :premises (@p102 @p3 @p100) :args (@t172 @t154 (@list @t5 @t173))) % 205.62/205.96 (step @p104 :rule cnf_and_pos :args (@t172 0)) % 205.62/205.96 (step @p105 :rule reordering :premises (@p104) :args ((or @t171 (not @t172)))) % 205.62/205.96 (step @p106 :rule chain_m_resolution :premises (@p105 @p103) :args (@t171 @t155 (@list @t172))) % 205.62/205.96 (step @p107 :rule aci_norm :args ((= (or @t176 @t47) @t175))) % 205.62/205.96 (step @p108 :rule refl :args (@t47)) % 205.62/205.96 (step @p109 :rule aci_norm :args ((= (or @t157 (or @t156 @t174)) @t176))) % 205.62/205.96 (step @p110 :rule bool-and-de-morgan :args (@t12 @t22 true)) % 205.62/205.96 (step @p111 :rule refl :args (@t157)) % 205.62/205.96 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t157 (not (and @t12 @t22))))) % 205.62/205.96 (step @p113 :rule bool-and-de-morgan :args (@t2 @t12 (and @t22))) % 205.62/205.96 (step @p114 :rule trans :premises (@p113 @p112)) % 205.62/205.96 (step @p115 :rule trans :premises (@p114 @p109)) % 205.62/205.96 (step @p116 :rule nary_cong :premises (@p115 @p108) :args ((or @t177 @t47))) % 205.62/205.96 (step @p117 :rule trans :premises (@p116 @p107)) % 205.62/205.96 (step @p118 :rule bool-impl-elim :args (@t23 @t47)) % 205.62/205.96 (step @p119 :rule trans :premises (@p118 @p117)) % 205.62/205.96 (step @p120 :rule cong :premises (@p119) :args (@t48)) % 205.62/205.96 (step @p121 :rule eq_resolve :premises (@p14 @p120)) % 205.62/205.96 (step @p122 :rule instantiate :premises (@p121) :args ((@list tptp.sz00 tptp.sz10 @t54))) % 205.62/205.96 (step @p123 :rule bool-impl-elim :args (@t2 @t7)) % 205.62/205.96 (step @p124 :rule cong :premises (@p123) :args (@t8)) % 205.62/205.96 (step @p125 :rule eq_resolve :premises (@p4 @p124)) % 205.62/205.96 (step @p126 :rule instantiate :premises (@p125) :args (@t170)) % 205.62/205.96 (step @p127 :rule cnf_or_pos :args (@t179)) % 205.62/205.96 (step @p128 :rule reordering :premises (@p127) :args ((or @t163 @t178 (not @t179)))) % 205.62/205.96 (step @p129 :rule chain_m_resolution :premises (@p128 @p3 @p126) :args (@t178 @t154 (@list @t5 @t179))) % 205.62/205.96 (step @p130 :rule cnf_or_pos :args (@t186)) % 205.62/205.96 (step @p131 :rule reordering :premises (@p130) :args ((or @t152 @t163 @t185 @t184 (not @t186)))) % 205.62/205.96 (step @p132 :rule chain_m_resolution :premises (@p131 @p2 @p3 @p129 @p122) :args (@t184 @t187 (@list @t4 @t5 @t178 @t186))) % 205.62/205.96 (step @p133 :rule cnf_and_pos :args (@t184 1)) % 205.62/205.96 (step @p134 :rule reordering :premises (@p133) :args ((or @t182 (not @t184)))) % 205.62/205.96 (step @p135 :rule chain_m_resolution :premises (@p134 @p132) :args (@t182 @t155 (@list @t184))) % 205.62/205.96 (step @p136 :rule bool-impl-elim :args (@t2 @t188)) % 205.62/205.96 (step @p137 :rule cong :premises (@p136) :args ((forall @t3 (=> @t2 @t188)))) % 205.62/205.96 (step @p138 :rule refl :args (@t41)) % 205.62/205.96 (step @p139 :rule eq-symm :args (@t42 @t1)) % 205.62/205.96 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t43)) % 205.62/205.96 (step @p141 :rule cong :premises (@p54 @p140) :args (@t44)) % 205.62/205.96 (step @p142 :rule cong :premises (@p141) :args (@t45)) % 205.62/205.96 (step @p143 :rule trans :premises (@p142 @p137)) % 205.62/205.96 (step @p144 :rule eq_resolve :premises (@p13 @p143)) % 205.62/205.96 (step @p145 :rule instantiate :premises (@p144) :args ((@list @t54))) % 205.62/205.96 (step @p146 :rule cnf_or_pos :args (@t193)) % 205.62/205.96 (step @p147 :rule reordering :premises (@p146) :args ((or @t185 @t192 (not @t193)))) % 205.62/205.96 (step @p148 :rule chain_m_resolution :premises (@p147 @p129 @p145) :args (@t192 @t154 (@list @t178 @t193))) % 205.62/205.96 (step @p149 :rule cnf_and_pos :args (@t192 1)) % 205.62/205.96 (step @p150 :rule reordering :premises (@p149) :args ((or @t189 @t194))) % 205.62/205.96 (step @p151 :rule chain_m_resolution :premises (@p150 @p148) :args (@t189 @t155 @t195)) % 205.62/205.96 (step @p152 :rule bool-double-not-elim :args (@t205)) % 205.62/205.96 (step @p153 :rule quant-merge-prenex :args ((= (forall @t3 @t207) @t205))) % 205.62/205.96 (step @p154 :rule refl :args (@t141)) % 205.62/205.96 (step @p155 :rule quant-unused-vars :args ((= @t208 @t196))) % 205.62/205.96 (step @p156 :rule quant-unused-vars :args ((= @t209 @t197))) % 205.62/205.96 (step @p157 :rule quant-unused-vars :args ((= @t210 @t198))) % 205.62/205.96 (step @p158 :rule alpha_equiv :args (@t211 (@list @t199) (@list @t9))) % 205.62/205.96 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156) :args (@t212)) % 205.62/205.96 (step @p160 :rule quant-miniscope-and :args ((= @t213 @t212))) % 205.62/205.96 (step @p161 :rule trans :premises (@p160 @p159)) % 205.62/205.96 (step @p162 :rule nary_cong :premises (@p111 @p161) :args (@t214)) % 205.62/205.96 (step @p163 :rule quant-miniscope-or :args ((= @t215 @t214))) % 205.62/205.96 (step @p164 :rule trans :premises (@p163 @p162)) % 205.62/205.96 (step @p165 :rule nary_cong :premises (@p164 @p155) :args (@t216)) % 205.62/205.96 (step @p166 :rule quant-miniscope-and :args ((= @t217 @t216))) % 205.62/205.96 (step @p167 :rule trans :premises (@p166 @p165)) % 205.62/205.96 (step @p168 :rule nary_cong :premises (@p167 @p154) :args (@t218)) % 205.62/205.96 (step @p169 :rule quant-miniscope-or :args ((= @t207 @t218))) % 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@t191) % 205.62/205.96 (assume-push @p1474 @t475) % 205.62/205.96 (assume-push @p1475 @t475) % 205.62/205.96 (assume-push @p1476 @t404) % 205.62/205.96 (assume-push @p1477 @t364) % 205.62/205.96 (assume-push @p1478 @t191) % 205.62/205.96 (assume-push @p1479 @t363) % 205.62/205.96 (step @p1056 :rule false_intro :premises (@p1474)) % 205.62/205.96 (step @p464 :rule refl :args (@t54)) % 205.62/205.96 (step @p901 :rule symm :premises (@p626)) % 205.62/205.96 (step @p902 :rule cong :premises (@p901 @p464) :args (@t452)) % 205.62/205.96 (step @p903 :rule symm :premises (@p633)) % 205.62/205.96 (step @p904 :rule cong :premises (@p417 @p636) :args (@t234)) % 205.62/205.96 (step @p905 :rule trans :premises (@p902 @p904 @p903)) % 205.62/205.96 (step @p906 :rule symm :premises (@p905)) % 205.62/205.96 (step @p907 :rule trans :premises (@p906 @p902)) % 205.62/205.96 (step @p908 :rule symm :premises (@p907)) % 205.62/205.96 (step @p1057 :rule cong :premises (@p464 @p908) :args (@t254)) % 205.62/205.96 (step @p1058 :rule trans :premises (@p1057 @p1056)) % 205.62/205.96 (step @p1059 :rule false_elim :premises (@p1058)) % 205.62/205.96 (step-pop @p1480 :rule scope :premises (@p1059)) % 205.62/205.96 (step-pop @p1481 :rule scope :premises (@p1480)) % 205.62/205.96 (step-pop @p1482 :rule scope :premises (@p1481)) % 205.62/205.96 (step-pop @p1483 :rule scope :premises (@p1482)) % 205.62/205.96 (step-pop @p1484 :rule scope :premises (@p1483)) % 205.62/205.96 (step @p1060 :rule process_scope :premises (@p1484) :args (@t454)) % 205.62/205.96 (step @p1066 :rule and_intro :premises (@p1474 @p633 @p417 @p636 @p626)) % 205.62/205.96 (step @p1067 :rule modus_ponens :premises (@p1066 @p1060)) % 205.62/205.96 (step-pop @p1485 :rule scope :premises (@p1067)) % 205.62/205.96 (step-pop @p1486 :rule scope :premises (@p1485)) % 205.62/205.96 (step-pop @p1487 :rule scope :premises (@p1486)) % 205.62/205.96 (step-pop @p1488 :rule scope :premises (@p1487)) % 205.62/205.96 (step-pop @p1489 :rule scope :premises (@p1488)) % 205.62/205.96 (step @p1068 :rule process_scope :premises (@p1489) :args (@t454)) % 205.62/205.96 (step @p1074 :rule implies_elim :premises (@p1068)) % 205.62/205.96 (step @p1075 :rule cnf_and_neg :args (@t476)) % 205.62/205.96 (step @p1076 :rule resolution :premises (@p1075 @p1074) :args (true @t476)) % 205.62/205.96 (step @p1077 :rule eq_resolve :premises (@p1076 @p1045)) % 205.62/205.96 (step @p1078 :rule chain_m_resolution :premises (@p1077 @p417 @p626 @p633 @p636 @p935) :args (@t474 (@list false false false false false) (@list @t364 @t363 @t404 @t191 @t254))) % 205.62/205.96 (step @p1079 :rule instantiate :premises (@p121) :args ((@list tptp.sz00 tptp.xp @t54))) % 205.62/205.96 (step @p1080 :rule cnf_or_pos :args (@t481)) % 205.62/205.96 (step @p1081 :rule reordering :premises (@p1080) :args ((or @t152 @t268 @t185 @t480 (not @t481)))) % 205.62/205.96 (step @p1082 :rule chain_m_resolution :premises (@p1081 @p2 @p264 @p129 @p1079) :args (@t480 @t187 (@list @t4 @t140 @t178 @t481))) % 205.62/205.96 (step @p1083 :rule cnf_and_pos :args (@t480 0)) % 205.62/205.96 (step @p1084 :rule reordering :premises (@p1083) :args ((or @t479 (not @t480)))) % 205.62/205.96 (step @p1085 :rule chain_m_resolution :premises (@p1084 @p1082) :args (@t479 @t155 (@list @t480))) % 205.62/205.96 (step @p1086 :rule bool-impl-elim :args (@t2 @t482)) % 205.62/205.96 (step @p1087 :rule cong :premises (@p1086) :args ((forall @t3 (=> @t2 @t482)))) % 205.62/205.96 (step @p1088 :rule refl :args (@t49)) % 205.62/205.96 (step @p1089 :rule eq-symm :args (@t50 tptp.sz00)) % 205.62/205.96 (step @p1090 :rule nary_cong :premises (@p1089 @p1088) :args (@t51)) % 205.62/205.96 (step @p1091 :rule cong :premises (@p54 @p1090) :args (@t52)) % 205.62/205.96 (step @p1092 :rule cong :premises (@p1091) :args (@t53)) % 205.62/205.96 (step @p1093 :rule trans :premises (@p1092 @p1087)) % 205.62/205.96 (step @p1094 :rule eq_resolve :premises (@p15 @p1093)) % 205.62/205.96 (step @p1095 :rule instantiate :premises (@p1094) :args (@t270)) % 205.62/205.96 (step @p1096 :rule cnf_or_pos :args (@t485)) % 205.62/205.96 (step @p1097 :rule reordering :premises (@p1096) :args ((or @t268 @t484 (not @t485)))) % 205.62/205.96 (step @p1098 :rule chain_m_resolution :premises (@p1097 @p264 @p1095) :args (@t484 @t154 (@list @t140 @t485))) % 205.62/205.96 (step @p1099 :rule cnf_and_pos :args (@t484 1)) % 205.62/205.96 (step @p1100 :rule reordering :premises (@p1099) :args ((or @t483 (not @t484)))) % 205.62/205.96 (step @p1101 :rule chain_m_resolution :premises (@p1100 @p1098) :args (@t483 @t155 (@list @t484))) % 205.62/205.96 (step @p1102 :rule instantiate :premises (@p340) :args (@t148)) % 205.62/205.96 (step @p1103 :rule cnf_or_pos :args (@t489)) % 205.62/205.96 (step @p1104 :rule reordering :premises (@p1103) :args ((or @t152 @t488 (not @t489)))) % 205.62/205.96 (step @p1105 :rule chain_m_resolution :premises (@p1104 @p2 @p1102) :args (@t488 @t154 (@list @t4 @t489))) % 205.62/205.96 (step @p1106 :rule cnf_and_pos :args (@t488 0)) % 205.62/205.96 (step @p1107 :rule reordering :premises (@p1106) :args ((or @t487 (not @t488)))) % 205.62/205.96 (step @p1108 :rule chain_m_resolution :premises (@p1107 @p1105) :args (@t487 @t155 (@list @t488))) % 205.62/205.96 (assume-push @p1490 @t487) % 205.62/205.96 (assume-push @p1491 @t364) % 205.62/205.96 (assume-push @p1492 @t483) % 205.62/205.96 (assume-push @p1493 @t150) % 205.62/205.96 (assume-push @p1494 @t404) % 205.62/205.96 (assume-push @p1495 @t479) % 205.62/205.96 (assume-push @p1496 @t191) % 205.62/205.96 (assume-push @p1497 @t474) % 205.62/205.96 (assume-push @p1498 @t150) % 205.62/205.96 (assume-push @p1499 @t474) % 205.62/205.96 (assume-push @p1500 @t404) % 205.62/205.96 (assume-push @p1501 @t364) % 205.62/205.96 (assume-push @p1502 @t191) % 205.62/205.96 (assume-push @p1503 @t479) % 205.62/205.96 (assume-push @p1504 @t483) % 205.62/205.96 (assume-push @p1505 @t487) % 205.62/205.96 (step @p1125 :rule symm :premises (@p65)) % 205.62/205.96 (step @p1126 :rule symm :premises (@p1497)) % 205.62/205.96 (step @p903 :rule symm :premises (@p633)) % 205.62/205.96 (step @p904 :rule cong :premises (@p417 @p636) :args (@t234)) % 205.62/205.96 (step @p1127 :rule trans :premises (@p904 @p903 @p1126)) % 205.62/205.96 (step @p749 :rule refl :args (tptp.sz00)) % 205.62/205.96 (step @p1128 :rule cong :premises (@p749 @p1127) :args (@t478)) % 205.62/205.96 (step @p1129 :rule symm :premises (@p1085)) % 205.62/205.96 (step @p1130 :rule cong :premises (@p1101 @p65) :args (@t486)) % 205.62/205.96 (step @p1131 :rule trans :premises (@p1108 @p1130 @p1129 @p1128 @p1125)) % 205.62/205.96 (step-pop @p1506 :rule scope :premises (@p1131)) % 205.62/205.96 (step-pop @p1507 :rule scope :premises (@p1506)) % 205.62/205.96 (step-pop @p1508 :rule scope :premises (@p1507)) % 205.62/205.96 (step-pop @p1509 :rule scope :premises (@p1508)) % 205.62/205.96 (step-pop @p1510 :rule scope :premises (@p1509)) % 205.62/205.96 (step-pop @p1511 :rule scope :premises (@p1510)) % 205.62/205.96 (step-pop @p1512 :rule scope :premises (@p1511)) % 205.62/205.96 (step-pop @p1513 :rule scope :premises (@p1512)) % 205.62/205.96 (step @p1132 :rule process_scope :premises (@p1513) :args (@t490)) % 205.62/205.96 (step @p1141 :rule and_intro :premises (@p65 @p1497 @p633 @p417 @p636 @p1085 @p1101 @p1108)) % 205.62/205.96 (step @p1142 :rule modus_ponens :premises (@p1141 @p1132)) % 205.62/205.96 (step-pop @p1514 :rule scope :premises (@p1142)) % 205.62/205.96 (step-pop @p1515 :rule scope :premises (@p1514)) % 205.62/205.96 (step-pop @p1516 :rule scope :premises (@p1515)) % 205.62/205.96 (step-pop @p1517 :rule scope :premises (@p1516)) % 205.62/205.96 (step-pop @p1518 :rule scope :premises (@p1517)) % 205.62/205.96 (step-pop @p1519 :rule scope :premises (@p1518)) % 205.62/205.96 (step-pop @p1520 :rule scope :premises (@p1519)) % 205.62/205.96 (step-pop @p1521 :rule scope :premises (@p1520)) % 205.62/205.96 (step @p1143 :rule process_scope :premises (@p1521) :args (@t490)) % 205.62/205.96 (step @p1152 :rule implies_elim :premises (@p1143)) % 205.62/205.96 (step @p1153 :rule cnf_and_neg :args (@t491)) % 205.62/205.96 (step @p1154 :rule resolution :premises (@p1153 @p1152) :args (true @t491)) % 205.62/205.96 (step @p1155 :rule reordering :premises (@p1154) :args ((or (not @t487) @t395 (not @t483) @t492 @t490 @t449 (not @t479) @t447 @t475))) % 205.62/205.96 (step @p1156 :rule chain_m_resolution :premises (@p1155 @p1108 @p417 @p1101 @p65 @p633 @p1085 @p636 @p1078) :args (@t490 (@list false false false false false false false false) (@list @t487 @t364 @t483 @t150 @t404 @t479 @t191 @t474))) % 205.62/205.96 (assume-push @p1522 @t150) % 205.62/205.96 (assume-push @p1523 @t490) % 205.62/205.96 (assume-push @p1524 @t166) % 205.62/205.96 (assume-push @p1525 @t171) % 205.62/205.96 (assume-push @p1526 @t182) % 205.62/205.96 (assume-push @p1527 @t189) % 205.62/205.96 (assume-push @p1528 @t490) % 205.62/205.96 (assume-push @p1529 @t150) % 205.62/205.96 (assume-push @p1530 @t189) % 205.62/205.96 (assume-push @p1531 @t182) % 205.62/205.96 (assume-push @p1532 @t166) % 205.62/205.96 (assume-push @p1533 @t171) % 205.62/205.96 (step @p541 :rule symm :premises (@p151)) % 205.62/205.96 (step @p1169 :rule symm :premises (@p1523)) % 205.62/205.96 (step @p1125 :rule symm :premises (@p65)) % 205.62/205.96 (step @p1170 :rule trans :premises (@p1125 @p1169)) % 205.62/205.96 (step @p1171 :rule cong :premises (@p1170 @p541) :args (@t181)) % 205.62/205.96 (step @p464 :rule refl :args (@t54)) % 205.62/205.96 (step @p1172 :rule trans :premises (@p106 @p90)) % 205.62/205.96 (step @p1173 :rule cong :premises (@p1172 @p464) :args (@t180)) % 205.62/205.96 (step @p1174 :rule trans :premises (@p151 @p1173 @p135 @p1171)) % 205.62/205.96 (step-pop @p1534 :rule scope :premises (@p1174)) % 205.62/205.96 (step-pop @p1535 :rule scope :premises (@p1534)) % 205.62/205.96 (step-pop @p1536 :rule scope :premises (@p1535)) % 205.62/205.96 (step-pop @p1537 :rule scope :premises (@p1536)) % 205.62/205.96 (step-pop @p1538 :rule scope :premises (@p1537)) % 205.62/205.96 (step-pop @p1539 :rule scope :premises (@p1538)) % 205.62/205.96 (step @p1175 :rule process_scope :premises (@p1539) :args (@t471)) % 205.62/205.96 (step @p1182 :rule and_intro :premises (@p1523 @p65 @p151 @p135 @p90 @p106)) % 205.62/205.96 (step @p1183 :rule modus_ponens :premises (@p1182 @p1175)) % 205.62/205.96 (step-pop @p1540 :rule scope :premises (@p1183)) % 205.62/205.96 (step-pop @p1541 :rule scope :premises (@p1540)) % 205.62/205.96 (step-pop @p1542 :rule scope :premises (@p1541)) % 205.62/205.96 (step-pop @p1543 :rule scope :premises (@p1542)) % 205.62/205.96 (step-pop @p1544 :rule scope :premises (@p1543)) % 205.62/205.96 (step-pop @p1545 :rule scope :premises (@p1544)) % 205.62/205.96 (step @p1184 :rule process_scope :premises (@p1545) :args (@t471)) % 205.62/205.96 (step @p1191 :rule implies_elim :premises (@p1184)) % 205.62/205.96 (step @p1192 :rule cnf_and_neg :args (@t493)) % 205.62/205.96 (step @p1193 :rule resolution :premises (@p1192 @p1191) :args (true @t493)) % 205.62/205.96 (step @p1194 :rule reordering :premises (@p1193) :args ((or @t492 @t471 (not @t490) @t392 @t391 (not @t182) @t389))) % 205.62/205.96 (step @p1195 false :rule chain_m_resolution :premises (@p1194 @p1156 @p1043 @p151 @p135 @p106 @p90 @p65) :args (false (@list false true false false false false false) (@list @t490 @t471 @t189 @t182 @t171 @t166 @t150))) % 205.62/205.96 ) % 205.62/205.96 % SZS output end Proof % 205.62/205.96 % cvc5 exiting %------------------------------------------------------------------------------