%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM454+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 : 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 08:39:28 AM UTC 2026 % Result : Theorem 2.01s 2.28s % Output : Proof 2.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM454+6 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:21:32 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 2.01/2.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.01/2.28 % SZS status Theorem % 2.01/2.28 % SZS output start Proof % 2.01/2.28 ( % 2.01/2.28 (declare-sort $$unsorted 0) % 2.01/2.28 (declare-const tptp.cS2076 $$unsorted) % 2.01/2.28 (declare-const tptp.isClosed0 (-> $$unsorted Bool)) % 2.01/2.28 (declare-const tptp.isOpen0 (-> $$unsorted Bool)) % 2.01/2.28 (declare-const tptp.stldt0 (-> $$unsorted $$unsorted)) % 2.01/2.28 (declare-const tptp.sdtslmnbsdt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.01/2.28 (declare-const tptp.cS1395 $$unsorted) % 2.01/2.28 (declare-const tptp.xp $$unsorted) % 2.01/2.28 (declare-const tptp.sdtbsmnsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.01/2.28 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 2.01/2.28 (declare-const tptp.xS $$unsorted) % 2.01/2.28 (declare-const tptp.szAzrzSzezqlpdtcmdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 2.01/2.28 (declare-const tptp.sbsmnsldt0 (-> $$unsorted $$unsorted)) % 2.01/2.28 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.01/2.28 (declare-const tptp.cS2043 $$unsorted) % 2.01/2.28 (declare-const tptp.sz10 $$unsorted) % 2.01/2.28 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 2.01/2.28 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 2.01/2.28 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 2.01/2.28 (declare-const tptp.sz00 $$unsorted) % 2.01/2.28 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 2.01/2.28 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 2.01/2.28 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.01/2.28 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.01/2.28 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 2.01/2.28 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 2.01/2.28 (define @t1 () (@var "W0" $$unsorted)) % 2.01/2.28 (define @t2 () (tptp.aInteger0 @t1)) % 2.01/2.28 (define @t3 () (@list @t1)) % 2.01/2.28 (define @t4 () (tptp.aInteger0 tptp.sz10)) % 2.01/2.28 (define @t5 () (tptp.smndt0 @t1)) % 2.01/2.28 (define @t6 () (tptp.aInteger0 @t5)) % 2.01/2.28 (define @t7 () (forall @t3 (=> @t2 @t6))) % 2.01/2.28 (define @t8 () (@var "W1" $$unsorted)) % 2.01/2.28 (define @t9 () (tptp.sdtpldt0 @t1 @t8)) % 2.01/2.28 (define @t10 () (tptp.aInteger0 @t9)) % 2.01/2.28 (define @t11 () (tptp.aInteger0 @t8)) % 2.01/2.28 (define @t12 () (and @t2 @t11)) % 2.01/2.28 (define @t13 () (@list @t1 @t8)) % 2.01/2.28 (define @t14 () (forall @t13 (=> @t12 @t10))) % 2.01/2.28 (define @t15 () (tptp.sdtasdt0 @t1 @t8)) % 2.01/2.28 (define @t16 () (@var "W2" $$unsorted)) % 2.01/2.28 (define @t17 () (tptp.sdtpldt0 @t8 @t16)) % 2.01/2.28 (define @t18 () (= (tptp.sdtpldt0 @t1 @t17) (tptp.sdtpldt0 @t9 @t16))) % 2.01/2.28 (define @t19 () (tptp.aInteger0 @t16)) % 2.01/2.28 (define @t20 () (and @t2 @t11 @t19)) % 2.01/2.28 (define @t21 () (@list @t1 @t8 @t16)) % 2.01/2.28 (define @t22 () (forall @t21 (=> @t20 @t18))) % 2.01/2.28 (define @t23 () (= @t9 (tptp.sdtpldt0 @t8 @t1))) % 2.01/2.28 (define @t24 () (forall @t13 (=> @t12 @t23))) % 2.01/2.28 (define @t25 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 2.01/2.28 (define @t26 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 2.01/2.28 (define @t27 () (and (= @t26 @t1) @t25)) % 2.01/2.28 (define @t28 () (=> @t2 @t27)) % 2.01/2.28 (define @t29 () (forall @t3 @t28)) % 2.01/2.28 (define @t30 () (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1))) % 2.01/2.28 (define @t31 () (tptp.sdtpldt0 @t1 @t5)) % 2.01/2.28 (define @t32 () (and (= @t31 tptp.sz00) @t30)) % 2.01/2.28 (define @t33 () (=> @t2 @t32)) % 2.01/2.28 (define @t34 () (forall @t3 @t33)) % 2.01/2.28 (define @t35 () (tptp.sdtasdt0 @t8 @t16)) % 2.01/2.28 (define @t36 () (= (tptp.sdtasdt0 @t1 @t35) (tptp.sdtasdt0 @t15 @t16))) % 2.01/2.28 (define @t37 () (forall @t21 (=> @t20 @t36))) % 2.01/2.28 (define @t38 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 2.01/2.28 (define @t39 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 2.01/2.28 (define @t40 () (and (= @t39 @t1) @t38)) % 2.01/2.28 (define @t41 () (=> @t2 @t40)) % 2.01/2.28 (define @t42 () (forall @t3 @t41)) % 2.01/2.28 (define @t43 () (tptp.sdtasdt0 @t1 @t16)) % 2.01/2.28 (define @t44 () (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t15 @t43)) (= (tptp.sdtasdt0 @t9 @t16) (tptp.sdtpldt0 @t43 @t35)))) % 2.01/2.28 (define @t45 () (forall @t21 (=> @t20 @t44))) % 2.01/2.28 (define @t46 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 2.01/2.28 (define @t47 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 2.01/2.28 (define @t48 () (and (= @t47 tptp.sz00) @t46)) % 2.01/2.28 (define @t49 () (=> @t2 @t48)) % 2.01/2.28 (define @t50 () (forall @t3 @t49)) % 2.01/2.28 (define @t51 () (tptp.smndt0 tptp.sz10)) % 2.01/2.28 (define @t52 () (= @t5 (tptp.sdtasdt0 @t1 @t51))) % 2.01/2.28 (define @t53 () (tptp.sdtasdt0 @t51 @t1)) % 2.01/2.28 (define @t54 () (and (= @t53 @t5) @t52)) % 2.01/2.28 (define @t55 () (=> @t2 @t54)) % 2.01/2.28 (define @t56 () (forall @t3 @t55)) % 2.01/2.28 (define @t57 () (= @t8 tptp.sz00)) % 2.01/2.28 (define @t58 () (= @t1 tptp.sz00)) % 2.01/2.28 (define @t59 () (or @t58 @t57)) % 2.01/2.28 (define @t60 () (=> (= @t15 tptp.sz00) @t59)) % 2.01/2.28 (define @t61 () (=> @t12 @t60)) % 2.01/2.28 (define @t62 () (forall @t13 @t61)) % 2.01/2.28 (define @t63 () (@list @t16)) % 2.01/2.28 (define @t64 () (not @t57)) % 2.01/2.28 (define @t65 () (tptp.aDivisorOf0 @t8 @t1)) % 2.01/2.28 (define @t66 () (@list @t8)) % 2.01/2.28 (define @t67 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 @t16)) % 2.01/2.28 (define @t68 () (not (= @t16 tptp.sz00))) % 2.01/2.28 (define @t69 () (and @t2 @t11 @t19 @t68)) % 2.01/2.28 (define @t70 () (and @t2 @t11 @t64)) % 2.01/2.28 (define @t71 () (@var "W3" $$unsorted)) % 2.01/2.28 (define @t72 () (tptp.aInteger0 @t71)) % 2.01/2.28 (define @t73 () (@list @t1 @t8 @t16 @t71)) % 2.01/2.28 (define @t74 () (= @t1 @t51)) % 2.01/2.28 (define @t75 () (= @t1 tptp.sz10)) % 2.01/2.28 (define @t76 () (tptp.isPrime0 @t8)) % 2.01/2.28 (define @t77 () (tptp.aSet0 @t1)) % 2.01/2.28 (define @t78 () (tptp.aElementOf0 @t8 @t1)) % 2.01/2.28 (define @t79 () (tptp.aElementOf0 @t16 @t1)) % 2.01/2.28 (define @t80 () (tptp.aElementOf0 @t16 @t8)) % 2.01/2.28 (define @t81 () (tptp.aSet0 @t8)) % 2.01/2.28 (define @t82 () (tptp.isFinite0 @t1)) % 2.01/2.28 (define @t83 () (tptp.aElementOf0 @t71 @t8)) % 2.01/2.28 (define @t84 () (tptp.aElementOf0 @t71 @t1)) % 2.01/2.28 (define @t85 () (tptp.aElementOf0 @t71 @t16)) % 2.01/2.28 (define @t86 () (@list @t71)) % 2.01/2.28 (define @t87 () (tptp.aSet0 @t16)) % 2.01/2.28 (define @t88 () (tptp.sdtbsmnsldt0 @t1 @t8)) % 2.01/2.28 (define @t89 () (tptp.aSubsetOf0 @t8 tptp.cS1395)) % 2.01/2.28 (define @t90 () (tptp.aSubsetOf0 @t1 tptp.cS1395)) % 2.01/2.28 (define @t91 () (and @t90 @t89)) % 2.01/2.28 (define @t92 () (tptp.sdtslmnbsdt0 @t1 @t8)) % 2.01/2.28 (define @t93 () (tptp.sbsmnsldt0 @t1)) % 2.01/2.28 (define @t94 () (tptp.stldt0 @t1)) % 2.01/2.28 (define @t95 () (tptp.szAzrzSzezqlpdtcmdtrp0 @t1 @t8)) % 2.01/2.28 (define @t96 () (tptp.isOpen0 @t1)) % 2.01/2.28 (define @t97 () (tptp.isClosed0 @t1)) % 2.01/2.28 (define @t98 () (tptp.isOpen0 @t8)) % 2.01/2.28 (define @t99 () (tptp.isClosed0 @t8)) % 2.01/2.28 (define @t100 () (tptp.aElementOf0 @t1 tptp.xS)) % 2.01/2.28 (define @t101 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz00 @t8)) % 2.01/2.28 (define @t102 () (= @t101 @t1)) % 2.01/2.28 (define @t103 () (tptp.aElementOf0 @t16 @t101)) % 2.01/2.28 (define @t104 () (tptp.sdteqdtlpzmzozddtrp0 @t16 tptp.sz00 @t8)) % 2.01/2.28 (define @t105 () (tptp.sdtpldt0 @t16 (tptp.smndt0 tptp.sz00))) % 2.01/2.28 (define @t106 () (tptp.aDivisorOf0 @t8 @t105)) % 2.01/2.28 (define @t107 () (tptp.sdtasdt0 @t8 @t71)) % 2.01/2.28 (define @t108 () (exists @t86 (and @t72 (= @t107 @t105)))) % 2.01/2.28 (define @t109 () (forall @t63 (and (=> @t103 (and @t19 @t108 @t106 @t104)) (=> (and @t19 (or @t108 @t106 @t104)) @t103)))) % 2.01/2.28 (define @t110 () (tptp.aSet0 @t101)) % 2.01/2.28 (define @t111 () (tptp.sbsmnsldt0 tptp.xS)) % 2.01/2.28 (define @t112 () (tptp.stldt0 @t111)) % 2.01/2.28 (define @t113 () (tptp.aElementOf0 @t1 @t112)) % 2.01/2.28 (define @t114 () (tptp.aElementOf0 @t1 @t111)) % 2.01/2.28 (define @t115 () (forall @t3 (= @t113 (and @t2 (not @t114))))) % 2.01/2.28 (define @t116 () (forall @t3 (= @t114 (and @t2 (exists @t66 (and (tptp.aElementOf0 @t8 tptp.xS) (tptp.aElementOf0 @t1 @t8))))))) % 2.01/2.28 (define @t117 () (tptp.aSet0 @t111)) % 2.01/2.28 (define @t118 () (tptp.aElementOf0 @t16 @t95)) % 2.01/2.28 (define @t119 () (tptp.sdteqdtlpzmzozddtrp0 @t16 @t1 @t8)) % 2.01/2.28 (define @t120 () (tptp.sdtpldt0 @t16 @t5)) % 2.01/2.28 (define @t121 () (tptp.aDivisorOf0 @t8 @t120)) % 2.01/2.28 (define @t122 () (exists @t86 (and @t72 (= @t107 @t120)))) % 2.01/2.28 (define @t123 () (forall @t3 (=> @t113 (exists @t66 (and @t11 @t64 (tptp.aSet0 @t95) (forall @t63 (and (=> @t118 (and @t19 @t122 @t121 @t119)) (=> (and @t19 (or @t122 @t121 @t119)) @t118))) (forall @t63 (=> @t118 (tptp.aElementOf0 @t16 @t112))) (tptp.aSubsetOf0 @t95 @t112)))))) % 2.01/2.28 (define @t124 () (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 tptp.xp)) % 2.01/2.28 (define @t125 () (tptp.aElementOf0 @t1 @t124)) % 2.01/2.28 (define @t126 () (tptp.sdteqdtlpzmzozddtrp0 @t1 tptp.sz10 tptp.xp)) % 2.01/2.28 (define @t127 () (tptp.sdtpldt0 @t1 @t51)) % 2.01/2.28 (define @t128 () (tptp.aDivisorOf0 tptp.xp @t127)) % 2.01/2.28 (define @t129 () (exists @t66 (and @t11 (= (tptp.sdtasdt0 tptp.xp @t8) @t127)))) % 2.01/2.28 (define @t130 () (= tptp.xp tptp.sz00)) % 2.01/2.28 (define @t131 () (tptp.aInteger0 tptp.xp)) % 2.01/2.28 (define @t132 () (tptp.smndt0 tptp.xp)) % 2.01/2.28 (define @t133 () (tptp.sdtpldt0 tptp.sz10 @t132)) % 2.01/2.28 (define @t134 () (tptp.sdtpldt0 @t133 @t51)) % 2.01/2.28 (define @t135 () (tptp.sdtasdt0 tptp.xp @t1)) % 2.01/2.28 (define @t136 () (tptp.sdtpldt0 tptp.sz10 tptp.xp)) % 2.01/2.28 (define @t137 () (tptp.sdtpldt0 @t136 @t51)) % 2.01/2.28 (define @t138 () (not (= @t133 @t51))) % 2.01/2.28 (define @t139 () (not (= @t136 @t51))) % 2.01/2.28 (define @t140 () (or @t139 @t138)) % 2.01/2.28 (define @t141 () (not @t140)) % 2.01/2.28 (define @t142 () (not @t11)) % 2.01/2.28 (define @t143 () (not @t2)) % 2.01/2.28 (define @t144 () (or @t143 @t142)) % 2.01/2.28 (define @t145 () (not @t12)) % 2.01/2.28 (define @t146 () (@list tptp.sz10 tptp.xp)) % 2.01/2.28 (define @t147 () (tptp.sdtpldt0 tptp.xp tptp.sz10)) % 2.01/2.28 (define @t148 () (= @t136 @t147)) % 2.01/2.28 (define @t149 () (not @t131)) % 2.01/2.28 (define @t150 () (not @t4)) % 2.01/2.28 (define @t151 () (or @t150 @t149 @t148)) % 2.01/2.28 (define @t152 () (@list false false false)) % 2.01/2.28 (define @t153 () (@list tptp.xp)) % 2.01/2.28 (define @t154 () (tptp.aInteger0 @t132)) % 2.01/2.28 (define @t155 () (or @t149 @t154)) % 2.01/2.28 (define @t156 () (@list false false)) % 2.01/2.28 (define @t157 () (tptp.sdtpldt0 @t132 tptp.sz10)) % 2.01/2.28 (define @t158 () (= @t133 @t157)) % 2.01/2.28 (define @t159 () (not @t154)) % 2.01/2.28 (define @t160 () (or @t150 @t159 @t158)) % 2.01/2.28 (define @t161 () (and (= @t1 @t26) @t25)) % 2.01/2.28 (define @t162 () (@list tptp.sz10)) % 2.01/2.28 (define @t163 () (tptp.sdtpldt0 tptp.sz00 tptp.sz10)) % 2.01/2.28 (define @t164 () (= tptp.sz10 @t163)) % 2.01/2.28 (define @t165 () (and (= tptp.sz10 (tptp.sdtpldt0 tptp.sz10 tptp.sz00)) @t164)) % 2.01/2.28 (define @t166 () (or @t150 @t165)) % 2.01/2.28 (define @t167 () (@list false)) % 2.01/2.28 (define @t168 () (= tptp.xp (tptp.sdtpldt0 tptp.xp tptp.sz00))) % 2.01/2.28 (define @t169 () (and @t168 (= tptp.xp (tptp.sdtpldt0 tptp.sz00 tptp.xp)))) % 2.01/2.28 (define @t170 () (or @t149 @t169)) % 2.01/2.28 (define @t171 () (and (= tptp.sz00 @t31) @t30)) % 2.01/2.28 (define @t172 () (tptp.sdtpldt0 @t51 tptp.sz10)) % 2.01/2.28 (define @t173 () (= tptp.sz00 @t172)) % 2.01/2.28 (define @t174 () (tptp.sdtpldt0 tptp.sz10 @t51)) % 2.01/2.28 (define @t175 () (= tptp.sz00 @t174)) % 2.01/2.28 (define @t176 () (and @t175 @t173)) % 2.01/2.28 (define @t177 () (or @t150 @t176)) % 2.01/2.28 (define @t178 () (not @t176)) % 2.01/2.28 (define @t179 () (@list @t176)) % 2.01/2.28 (define @t180 () (tptp.sdtpldt0 tptp.xp @t132)) % 2.01/2.28 (define @t181 () (= tptp.sz00 @t180)) % 2.01/2.28 (define @t182 () (and @t181 (= tptp.sz00 (tptp.sdtpldt0 @t132 tptp.xp)))) % 2.01/2.28 (define @t183 () (or @t149 @t182)) % 2.01/2.28 (define @t184 () (and (= @t1 @t39) @t38)) % 2.01/2.28 (define @t185 () (tptp.sdtasdt0 tptp.sz10 tptp.xp)) % 2.01/2.28 (define @t186 () (= tptp.xp @t185)) % 2.01/2.28 (define @t187 () (tptp.sdtasdt0 tptp.xp tptp.sz10)) % 2.01/2.28 (define @t188 () (= tptp.xp @t187)) % 2.01/2.28 (define @t189 () (and @t188 @t186)) % 2.01/2.28 (define @t190 () (or @t149 @t189)) % 2.01/2.28 (define @t191 () (not @t189)) % 2.01/2.28 (define @t192 () (@list @t189)) % 2.01/2.28 (define @t193 () (and (= tptp.sz00 @t47) @t46)) % 2.01/2.28 (define @t194 () (tptp.sdtasdt0 tptp.sz00 tptp.xp)) % 2.01/2.28 (define @t195 () (= tptp.sz00 @t194)) % 2.01/2.28 (define @t196 () (and (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.sz00)) @t195)) % 2.01/2.28 (define @t197 () (or @t149 @t196)) % 2.01/2.28 (define @t198 () (and (= @t5 @t53) @t52)) % 2.01/2.28 (define @t199 () (tptp.sdtasdt0 tptp.sz10 @t51)) % 2.01/2.28 (define @t200 () (= @t51 @t199)) % 2.01/2.28 (define @t201 () (and (= @t51 (tptp.sdtasdt0 @t51 tptp.sz10)) @t200)) % 2.01/2.28 (define @t202 () (or @t150 @t201)) % 2.01/2.28 (define @t203 () (tptp.sdtasdt0 tptp.xp @t51)) % 2.01/2.28 (define @t204 () (= @t132 @t203)) % 2.01/2.28 (define @t205 () (tptp.sdtasdt0 @t51 tptp.xp)) % 2.01/2.28 (define @t206 () (= @t132 @t205)) % 2.01/2.28 (define @t207 () (and @t206 @t204)) % 2.01/2.28 (define @t208 () (or @t149 @t207)) % 2.01/2.28 (define @t209 () (not @t207)) % 2.01/2.28 (define @t210 () (@list @t207)) % 2.01/2.28 (define @t211 () (not @t19)) % 2.01/2.28 (define @t212 () (or @t143 @t142 @t211)) % 2.01/2.28 (define @t213 () (not @t20)) % 2.01/2.28 (define @t214 () (tptp.sdtpldt0 tptp.xp @t157)) % 2.01/2.28 (define @t215 () (= @t214 (tptp.sdtpldt0 @t180 tptp.sz10))) % 2.01/2.28 (define @t216 () (or @t149 @t159 @t150 @t215)) % 2.01/2.28 (define @t217 () (@list false false false false)) % 2.01/2.28 (define @t218 () (tptp.aInteger0 @t51)) % 2.01/2.28 (define @t219 () (or @t150 @t218)) % 2.01/2.28 (define @t220 () (tptp.sdtpldt0 @t157 @t51)) % 2.01/2.28 (define @t221 () (= (tptp.sdtpldt0 @t132 @t174) @t220)) % 2.01/2.28 (define @t222 () (not @t218)) % 2.01/2.28 (define @t223 () (or @t159 @t150 @t222 @t221)) % 2.01/2.28 (define @t224 () (@list @t132 tptp.sz10 tptp.sz10)) % 2.01/2.28 (define @t225 () (tptp.sdtpldt0 tptp.sz10 tptp.sz10)) % 2.01/2.28 (define @t226 () (tptp.sdtpldt0 @t132 @t225)) % 2.01/2.28 (define @t227 () (= @t226 (tptp.sdtpldt0 @t157 tptp.sz10))) % 2.01/2.28 (define @t228 () (or @t159 @t150 @t150 @t227)) % 2.01/2.28 (define @t229 () (tptp.sdtpldt0 @t51 tptp.xp)) % 2.01/2.28 (define @t230 () (= (tptp.sdtpldt0 tptp.xp @t51) @t229)) % 2.01/2.28 (define @t231 () (or @t149 @t222 @t230)) % 2.01/2.28 (define @t232 () (tptp.sdtasdt0 @t205 tptp.sz10)) % 2.01/2.28 (define @t233 () (= (tptp.sdtasdt0 @t51 @t187) @t232)) % 2.01/2.28 (define @t234 () (or @t222 @t149 @t150 @t233)) % 2.01/2.28 (define @t235 () (= tptp.sz00 @t8)) % 2.01/2.28 (define @t236 () (= tptp.sz00 @t15)) % 2.01/2.28 (define @t237 () (not @t236)) % 2.01/2.28 (define @t238 () (or @t143 @t142 @t237 @t58 @t235)) % 2.01/2.28 (define @t239 () (or @t237 @t58 @t235)) % 2.01/2.28 (define @t240 () (or @t58 @t235)) % 2.01/2.28 (define @t241 () (=> @t236 @t240)) % 2.01/2.28 (define @t242 () (= tptp.sz00 tptp.xp)) % 2.01/2.28 (define @t243 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.xp))) % 2.01/2.28 (define @t244 () (not @t243)) % 2.01/2.28 (define @t245 () (or @t149 @t149 @t244 @t130 @t242)) % 2.01/2.28 (define @t246 () (forall @t13 @t238)) % 2.01/2.28 (define @t247 () (or @t149 @t149 @t244 @t242 @t242)) % 2.01/2.28 (define @t248 () (tptp.sdtpldt0 @t132 tptp.sz00)) % 2.01/2.28 (define @t249 () (= @t132 @t248)) % 2.01/2.28 (define @t250 () (and @t249 (= @t132 (tptp.sdtpldt0 tptp.sz00 @t132)))) % 2.01/2.28 (define @t251 () (or @t159 @t250)) % 2.01/2.28 (define @t252 () (tptp.sdtpldt0 @t185 @t185)) % 2.01/2.28 (define @t253 () (= (tptp.sdtasdt0 @t225 tptp.xp) @t252)) % 2.01/2.28 (define @t254 () (tptp.sdtasdt0 tptp.sz10 tptp.sz10)) % 2.01/2.28 (define @t255 () (and (= (tptp.sdtasdt0 tptp.sz10 @t136) (tptp.sdtpldt0 @t254 @t185)) @t253)) % 2.01/2.28 (define @t256 () (or @t150 @t150 @t149 @t255)) % 2.01/2.28 (define @t257 () (tptp.sdtasdt0 @t132 tptp.sz10)) % 2.01/2.28 (define @t258 () (tptp.sdtasdt0 @t132 @t225)) % 2.01/2.28 (define @t259 () (= @t258 (tptp.sdtpldt0 @t257 @t257))) % 2.01/2.28 (define @t260 () (and @t259 (= (tptp.sdtasdt0 @t157 tptp.sz10) (tptp.sdtpldt0 @t257 @t254)))) % 2.01/2.28 (define @t261 () (or @t159 @t150 @t150 @t260)) % 2.01/2.28 (define @t262 () (tptp.sdtasdt0 tptp.xp @t225)) % 2.01/2.28 (define @t263 () (= @t262 (tptp.sdtpldt0 @t187 @t187))) % 2.01/2.28 (define @t264 () (and @t263 (= (tptp.sdtasdt0 @t147 tptp.sz10) (tptp.sdtpldt0 @t187 @t254)))) % 2.01/2.28 (define @t265 () (or @t149 @t150 @t150 @t264)) % 2.01/2.28 (define @t266 () (tptp.aInteger0 @t136)) % 2.01/2.28 (define @t267 () (or @t150 @t149 @t266)) % 2.01/2.28 (define @t268 () (tptp.sdtpldt0 @t136 @t147)) % 2.01/2.28 (define @t269 () (= @t268 (tptp.sdtpldt0 (tptp.sdtpldt0 @t136 tptp.xp) tptp.sz10))) % 2.01/2.28 (define @t270 () (not @t266)) % 2.01/2.28 (define @t271 () (or @t270 @t149 @t150 @t269)) % 2.01/2.28 (define @t272 () (tptp.sdtpldt0 tptp.xp @t174)) % 2.01/2.28 (define @t273 () (= @t272 (tptp.sdtpldt0 @t147 @t51))) % 2.01/2.28 (define @t274 () (or @t149 @t150 @t222 @t273)) % 2.01/2.28 (define @t275 () (= @t51 @t136)) % 2.01/2.28 (define @t276 () (= @t51 @t133)) % 2.01/2.28 (define @t277 () (and @t275 @t276 @t148 @t158 @t164 @t168 @t175 @t173 @t181 @t188 @t186 @t195 @t200 @t206 @t204 @t215 @t221 @t227 @t230 @t249 @t233 @t253 @t259 @t263 @t269 @t273)) % 2.01/2.28 (assume @p1 (forall @t3 (=> @t2 true))) % 2.01/2.28 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 2.01/2.28 (assume @p3 @t4) % 2.01/2.28 (assume @p4 @t7) % 2.01/2.28 (assume @p5 @t14) % 2.01/2.28 (assume @p6 (forall @t13 (=> @t12 (tptp.aInteger0 @t15)))) % 2.01/2.28 (assume @p7 @t22) % 2.01/2.28 (assume @p8 @t24) % 2.01/2.28 (assume @p9 @t29) % 2.01/2.28 (assume @p10 @t34) % 2.01/2.28 (assume @p11 @t37) % 2.01/2.28 (assume @p12 (forall @t13 (=> @t12 (= @t15 (tptp.sdtasdt0 @t8 @t1))))) % 2.01/2.28 (assume @p13 @t42) % 2.01/2.28 (assume @p14 @t45) % 2.01/2.28 (assume @p15 @t50) % 2.01/2.28 (assume @p16 @t56) % 2.01/2.28 (assume @p17 @t62) % 2.01/2.28 (assume @p18 (forall @t3 (=> @t2 (forall @t66 (= @t65 (and @t11 @t64 (exists @t63 (and @t19 (= @t35 @t1))))))))) % 2.01/2.28 (assume @p19 (forall @t21 (=> @t69 (= @t67 (tptp.aDivisorOf0 @t16 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t8))))))) % 2.01/2.28 (assume @p20 (forall @t13 (=> @t70 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t8)))) % 2.01/2.28 (assume @p21 (forall @t21 (=> @t69 (=> @t67 (tptp.sdteqdtlpzmzozddtrp0 @t8 @t1 @t16))))) % 2.01/2.28 (assume @p22 (forall @t73 (=> (and @t2 @t11 @t19 @t68 @t72) (=> (and @t67 (tptp.sdteqdtlpzmzozddtrp0 @t8 @t71 @t16)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t71 @t16))))) % 2.01/2.28 (assume @p23 (forall @t73 (=> (and @t2 @t11 @t19 @t68 @t72 (not (= @t71 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 (tptp.sdtasdt0 @t16 @t71)) (and @t67 (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 @t71)))))) % 2.01/2.28 (assume @p24 (forall @t3 (=> (and @t2 (not @t58)) (=> (tptp.isPrime0 @t1) true)))) % 2.01/2.28 (assume @p25 (forall @t3 (=> @t2 (= (exists @t66 (and @t65 @t76)) (and (not @t75) (not @t74)))))) % 2.01/2.28 (assume @p26 (forall @t3 (=> @t77 true))) % 2.01/2.28 (assume @p27 (forall @t3 (=> @t77 (forall @t66 (=> @t78 true))))) % 2.01/2.28 (assume @p28 (forall @t3 (=> @t77 (forall @t66 (= (tptp.aSubsetOf0 @t8 @t1) (and @t81 (forall @t63 (=> @t80 @t79)))))))) % 2.01/2.28 (assume @p29 (forall @t3 (=> @t77 (=> @t82 true)))) % 2.01/2.28 (assume @p30 (forall @t13 (=> @t91 (forall @t63 (= (= @t16 @t88) (and @t87 (forall @t86 (= @t85 (and @t72 (or @t84 @t83)))))))))) % 2.01/2.28 (assume @p31 (forall @t13 (=> @t91 (forall @t63 (= (= @t16 @t92) (and @t87 (forall @t86 (= @t85 (and @t72 @t84 @t83))))))))) % 2.01/2.28 (assume @p32 (forall @t3 (=> (and @t77 (forall @t66 (=> @t78 @t89))) (forall @t66 (= (= @t8 @t93) (and @t81 (forall @t63 (= @t80 (and @t19 (exists @t86 (and @t84 (tptp.aElementOf0 @t16 @t71)))))))))))) % 2.01/2.28 (assume @p33 (forall @t3 (=> @t90 (forall @t66 (= (= @t8 @t94) (and @t81 (forall @t63 (= @t80 (and @t19 (not @t79)))))))))) % 2.01/2.28 (assume @p34 (forall @t13 (=> @t70 (forall @t63 (= (= @t16 @t95) (and @t87 (forall @t86 (= @t85 (and @t72 (tptp.sdteqdtlpzmzozddtrp0 @t71 @t1 @t8)))))))))) % 2.01/2.28 (assume @p35 (forall @t3 (=> @t90 (= @t96 (forall @t66 (=> @t78 (exists @t63 (and @t19 @t68 (tptp.aSubsetOf0 (tptp.szAzrzSzezqlpdtcmdtrp0 @t8 @t16) @t1))))))))) % 2.01/2.28 (assume @p36 (forall @t3 (=> @t90 (= @t97 (tptp.isOpen0 @t94))))) % 2.01/2.28 (assume @p37 (forall @t3 (=> (and @t77 (forall @t66 (=> @t78 (and @t89 @t98)))) (tptp.isOpen0 @t93)))) % 2.01/2.28 (assume @p38 (forall @t13 (=> (and @t90 @t89 @t96 @t98) (tptp.isOpen0 @t92)))) % 2.01/2.28 (assume @p39 (forall @t13 (=> (and @t90 @t89 @t97 @t99) (tptp.isClosed0 @t88)))) % 2.01/2.28 (assume @p40 (forall @t3 (=> (and @t77 @t82 (forall @t66 (=> @t78 (and @t89 @t99)))) (tptp.isClosed0 @t93)))) % 2.01/2.28 (assume @p41 (forall @t13 (=> @t70 (and (tptp.aSubsetOf0 @t95 tptp.cS1395) (tptp.isClosed0 @t95))))) % 2.01/2.28 (assume @p42 (and (tptp.aSet0 tptp.xS) (forall @t3 (and (=> @t100 (exists @t66 (and @t11 @t64 @t76 @t110 @t109 @t102))) (=> (exists @t66 (and @t11 @t64 @t76 (=> (and @t110 @t109) @t102))) @t100))) (= tptp.xS tptp.cS2043))) % 2.01/2.28 (assume @p43 (and @t117 @t116 (tptp.aSet0 @t112) @t115 (forall @t3 (= @t113 (or @t75 @t74))) (= @t112 tptp.cS2076))) % 2.01/2.28 (assume @p44 (tptp.isFinite0 tptp.xS)) % 2.01/2.28 (assume @p45 (and @t117 @t116 @t115 @t123 (tptp.isOpen0 @t112) (tptp.isClosed0 @t111) @t117 @t116 @t115 @t123)) % 2.01/2.28 (assume @p46 (and @t131 (not @t130) (tptp.aSet0 @t124) (forall @t3 (and (=> @t125 (and @t2 @t129 @t128 @t126)) (=> (and @t2 (or @t129 @t128 @t126)) @t125))) @t117 @t116 @t115 (forall @t3 (=> @t125 @t113)) (tptp.aSubsetOf0 @t124 @t112))) % 2.01/2.28 (assume @p47 (and (exists @t3 (and @t2 (= @t135 @t137))) (tptp.aDivisorOf0 tptp.xp @t137) (tptp.sdteqdtlpzmzozddtrp0 @t136 tptp.sz10 tptp.xp) (tptp.aElementOf0 @t136 @t124) (exists @t3 (and @t2 (= @t135 @t134))) (tptp.aDivisorOf0 tptp.xp @t134) (tptp.sdteqdtlpzmzozddtrp0 @t133 tptp.sz10 tptp.xp) (tptp.aElementOf0 @t133 @t124))) % 2.01/2.28 (assume @p48 (and (not (= @t136 tptp.sz10)) (not (= @t133 tptp.sz10)))) % 2.01/2.28 (assume @p49 @t141) % 2.01/2.28 (assume @p50 true) % 2.01/2.28 (step @p51 :rule eq-symm :args (@t133 @t51)) % 2.01/2.28 (step @p52 :rule cong :premises (@p51) :args (@t138)) % 2.01/2.28 (step @p53 :rule eq-symm :args (@t136 @t51)) % 2.01/2.28 (step @p54 :rule cong :premises (@p53) :args (@t139)) % 2.01/2.28 (step @p55 :rule nary_cong :premises (@p54 @p52) :args (@t140)) % 2.01/2.28 (step @p56 :rule cong :premises (@p55) :args (@t141)) % 2.01/2.28 (step @p57 :rule eq_resolve :premises (@p49 @p56)) % 2.01/2.28 (step @p58 :rule not_or_elim :premises (@p57) :args (0)) % 2.01/2.28 (step @p59 :rule not_not_elim :premises (@p58)) % 2.01/2.28 (step @p60 :rule not_or_elim :premises (@p57) :args (1)) % 2.01/2.28 (step @p61 :rule not_not_elim :premises (@p60)) % 2.01/2.28 (step @p62 :rule aci_norm :args ((= (or @t144 @t23) (or @t143 @t142 @t23)))) % 2.01/2.28 (step @p63 :rule refl :args (@t23)) % 2.01/2.28 (step @p64 :rule bool-and-de-morgan :args (@t2 @t11 true)) % 2.01/2.28 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t145 @t23))) % 2.01/2.28 (step @p66 :rule trans :premises (@p65 @p62)) % 2.01/2.28 (step @p67 :rule bool-impl-elim :args (@t12 @t23)) % 2.01/2.28 (step @p68 :rule trans :premises (@p67 @p66)) % 2.01/2.28 (step @p69 :rule cong :premises (@p68) :args (@t24)) % 2.01/2.28 (step @p70 :rule eq_resolve :premises (@p8 @p69)) % 2.01/2.28 (step @p71 :rule instantiate :premises (@p70) :args (@t146)) % 2.01/2.28 (step @p72 :rule and_elim :premises (@p46) :args (0)) % 2.01/2.28 (step @p73 :rule cnf_or_pos :args (@t151)) % 2.01/2.28 (step @p74 :rule reordering :premises (@p73) :args ((or @t150 @t149 @t148 (not @t151)))) % 2.01/2.28 (step @p75 :rule chain_m_resolution :premises (@p74 @p3 @p72 @p71) :args (@t148 @t152 (@list @t4 @t131 @t151))) % 2.01/2.28 (step @p76 :rule instantiate :premises (@p70) :args ((@list tptp.sz10 @t132))) % 2.01/2.28 (step @p77 :rule bool-impl-elim :args (@t2 @t6)) % 2.01/2.28 (step @p78 :rule cong :premises (@p77) :args (@t7)) % 2.01/2.28 (step @p79 :rule eq_resolve :premises (@p4 @p78)) % 2.01/2.28 (step @p80 :rule instantiate :premises (@p79) :args (@t153)) % 2.01/2.28 (step @p81 :rule cnf_or_pos :args (@t155)) % 2.01/2.28 (step @p82 :rule reordering :premises (@p81) :args ((or @t149 @t154 (not @t155)))) % 2.01/2.28 (step @p83 :rule chain_m_resolution :premises (@p82 @p72 @p80) :args (@t154 @t156 (@list @t131 @t155))) % 2.01/2.28 (step @p84 :rule cnf_or_pos :args (@t160)) % 2.01/2.28 (step @p85 :rule reordering :premises (@p84) :args ((or @t150 @t159 @t158 (not @t160)))) % 2.01/2.28 (step @p86 :rule chain_m_resolution :premises (@p85 @p3 @p83 @p76) :args (@t158 @t152 (@list @t4 @t154 @t160))) % 2.01/2.28 (step @p87 :rule bool-impl-elim :args (@t2 @t161)) % 2.01/2.28 (step @p88 :rule cong :premises (@p87) :args ((forall @t3 (=> @t2 @t161)))) % 2.01/2.28 (step @p89 :rule refl :args (@t25)) % 2.01/2.28 (step @p90 :rule eq-symm :args (@t26 @t1)) % 2.01/2.28 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t27)) % 2.01/2.28 (step @p92 :rule refl :args (@t2)) % 2.01/2.28 (step @p93 :rule cong :premises (@p92 @p91) :args (@t28)) % 2.01/2.28 (step @p94 :rule cong :premises (@p93) :args (@t29)) % 2.01/2.28 (step @p95 :rule trans :premises (@p94 @p88)) % 2.01/2.28 (step @p96 :rule eq_resolve :premises (@p9 @p95)) % 2.01/2.28 (step @p97 :rule instantiate :premises (@p96) :args (@t162)) % 2.01/2.28 (step @p98 :rule cnf_or_pos :args (@t166)) % 2.01/2.28 (step @p99 :rule reordering :premises (@p98) :args ((or @t150 @t165 (not @t166)))) % 2.01/2.28 (step @p100 :rule chain_m_resolution :premises (@p99 @p3 @p97) :args (@t165 @t156 (@list @t4 @t166))) % 2.01/2.28 (step @p101 :rule cnf_and_pos :args (@t165 1)) % 2.01/2.28 (step @p102 :rule reordering :premises (@p101) :args ((or @t164 (not @t165)))) % 2.01/2.28 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t164 @t167 (@list @t165))) % 2.01/2.28 (step @p104 :rule instantiate :premises (@p96) :args (@t153)) % 2.01/2.28 (step @p105 :rule cnf_or_pos :args (@t170)) % 2.01/2.28 (step @p106 :rule reordering :premises (@p105) :args ((or @t149 @t169 (not @t170)))) % 2.01/2.28 (step @p107 :rule chain_m_resolution :premises (@p106 @p72 @p104) :args (@t169 @t156 (@list @t131 @t170))) % 2.01/2.28 (step @p108 :rule cnf_and_pos :args (@t169 0)) % 2.01/2.28 (step @p109 :rule reordering :premises (@p108) :args ((or @t168 (not @t169)))) % 2.01/2.28 (step @p110 :rule chain_m_resolution :premises (@p109 @p107) :args (@t168 @t167 (@list @t169))) % 2.01/2.28 (step @p111 :rule bool-impl-elim :args (@t2 @t171)) % 2.01/2.28 (step @p112 :rule cong :premises (@p111) :args ((forall @t3 (=> @t2 @t171)))) % 2.01/2.28 (step @p113 :rule refl :args (@t30)) % 2.01/2.28 (step @p114 :rule eq-symm :args (@t31 tptp.sz00)) % 2.01/2.28 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t32)) % 2.01/2.28 (step @p116 :rule cong :premises (@p92 @p115) :args (@t33)) % 2.01/2.28 (step @p117 :rule cong :premises (@p116) :args (@t34)) % 2.01/2.28 (step @p118 :rule trans :premises (@p117 @p112)) % 2.01/2.28 (step @p119 :rule eq_resolve :premises (@p10 @p118)) % 2.01/2.28 (step @p120 :rule instantiate :premises (@p119) :args (@t162)) % 2.01/2.28 (step @p121 :rule cnf_or_pos :args (@t177)) % 2.01/2.28 (step @p122 :rule reordering :premises (@p121) :args ((or @t150 @t176 (not @t177)))) % 2.01/2.28 (step @p123 :rule chain_m_resolution :premises (@p122 @p3 @p120) :args (@t176 @t156 (@list @t4 @t177))) % 2.01/2.28 (step @p124 :rule 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2.01/2.28 (step @p327 :rule nary_cong :premises (@p64 @p326) :args ((or @t145 @t10))) % 2.01/2.28 (step @p328 :rule trans :premises (@p327 @p325)) % 2.01/2.28 (step @p329 :rule bool-impl-elim :args (@t12 @t10)) % 2.01/2.28 (step @p330 :rule trans :premises (@p329 @p328)) % 2.01/2.28 (step @p331 :rule cong :premises (@p330) :args (@t14)) % 2.01/2.28 (step @p332 :rule eq_resolve :premises (@p5 @p331)) % 2.01/2.28 (step @p333 :rule instantiate :premises (@p332) :args (@t146)) % 2.01/2.28 (step @p334 :rule cnf_or_pos :args (@t267)) % 2.01/2.28 (step @p335 :rule reordering :premises (@p334) :args ((or @t150 @t149 @t266 (not @t267)))) % 2.01/2.28 (step @p336 :rule chain_m_resolution :premises (@p335 @p3 @p72 @p333) :args (@t266 @t152 (@list @t4 @t131 @t267))) % 2.01/2.28 (step @p337 :rule cnf_or_pos :args (@t271)) % 2.01/2.28 (step @p338 :rule reordering :premises (@p337) :args ((or @t150 @t149 @t270 @t269 (not @t271)))) % 2.01/2.28 (step @p339 :rule chain_m_resolution :premises (@p338 @p3 @p72 @p336 @p324) :args (@t269 @t217 (@list @t4 @t131 @t266 @t271))) % 2.01/2.28 (step @p340 :rule instantiate :premises (@p212) :args ((@list tptp.xp tptp.sz10 @t51))) % 2.01/2.28 (step @p341 :rule cnf_or_pos :args (@t274)) % 2.01/2.28 (step @p342 :rule reordering :premises (@p341) :args ((or @t150 @t149 @t222 @t273 (not @t274)))) % 2.01/2.28 (step @p343 :rule chain_m_resolution :premises (@p342 @p3 @p72 @p221 @p340) :args (@t273 @t217 (@list @t4 @t131 @t218 @t274))) % 2.01/2.28 (assume-push @p474 @t275) % 2.01/2.28 (assume-push @p475 @t276) % 2.01/2.28 (assume-push @p476 @t148) % 2.01/2.28 (assume-push @p477 @t158) % 2.01/2.28 (assume-push @p478 @t164) % 2.01/2.28 (assume-push @p479 @t168) % 2.01/2.28 (assume-push @p480 @t175) % 2.01/2.28 (assume-push @p481 @t173) % 2.01/2.28 (assume-push @p482 @t181) % 2.01/2.28 (assume-push @p483 @t188) % 2.01/2.28 (assume-push @p484 @t186) % 2.01/2.28 (assume-push @p485 @t195) % 2.01/2.28 (assume-push @p486 @t200) % 2.01/2.28 (assume-push @p487 @t206) % 2.01/2.28 (assume-push @p488 @t204) % 2.01/2.28 (assume-push @p489 @t215) % 2.01/2.28 (assume-push @p490 @t221) % 2.01/2.28 (assume-push @p491 @t227) % 2.01/2.28 (assume-push @p492 @t230) % 2.01/2.28 (assume-push @p493 @t249) % 2.01/2.28 (assume-push @p494 @t233) % 2.01/2.28 (assume-push @p495 @t253) % 2.01/2.28 (assume-push @p496 @t259) % 2.01/2.28 (assume-push @p497 @t263) % 2.01/2.28 (assume-push @p498 @t269) % 2.01/2.28 (assume-push @p499 @t273) % 2.01/2.28 (step @p370 :rule refl :args (tptp.xp)) % 2.01/2.28 (step @p371 :rule symm :premises (@p155)) % 2.01/2.28 (step @p372 :rule cong :premises (@p371 @p370) :args ((tptp.sdtasdt0 @t185 tptp.xp))) % 2.01/2.28 (step @p373 :rule symm :premises (@p110)) % 2.01/2.28 (step @p374 :rule symm :premises (@p126)) % 2.01/2.28 (step @p375 :rule cong :premises (@p370 @p374) :args (@t272)) % 2.01/2.28 (step @p376 :rule symm :premises (@p343)) % 2.01/2.28 (step @p377 :rule refl :args (@t51)) % 2.01/2.28 (step @p378 :rule symm :premises (@p61)) % 2.01/2.28 (step @p379 :rule trans :premises (@p378 @p59)) % 2.01/2.28 (step @p380 :rule trans :premises (@p379 @p75)) % 2.01/2.28 (step @p381 :rule cong :premises (@p380 @p377) :args (@t134)) % 2.01/2.28 (step @p382 :rule symm :premises (@p86)) % 2.01/2.28 (step @p383 :rule cong :premises (@p382 @p377) :args (@t220)) % 2.01/2.28 (step @p384 :rule symm :premises (@p171)) % 2.01/2.28 (step @p385 :rule trans :premises (@p384 @p126)) % 2.01/2.28 (step @p386 :rule symm :premises (@p194)) % 2.01/2.28 (step @p387 :rule cong :premises (@p386 @p385) :args ((tptp.sdtpldt0 @t205 @t194))) % 2.01/2.28 (step @p388 :rule cong :premises (@p194 @p171) :args (@t248)) % 2.01/2.28 (step @p389 :rule trans :premises (@p291 @p388 @p387 @p224 @p383 @p381 @p376 @p375 @p373)) % 2.01/2.28 (step @p390 :rule cong :premises (@p155 @p389) :args ((tptp.sdtasdt0 tptp.xp @t132))) % 2.01/2.28 (step @p391 :rule symm :premises (@p291)) % 2.01/2.28 (step @p392 :rule symm :premises (@p388)) % 2.01/2.28 (step @p393 :rule symm :premises (@p387)) % 2.01/2.28 (step @p394 :rule symm :premises (@p224)) % 2.01/2.28 (step @p395 :rule symm :premises (@p383)) % 2.01/2.28 (step @p396 :rule symm :premises (@p59)) % 2.01/2.28 (step @p397 :rule symm :premises (@p75)) % 2.01/2.28 (step @p398 :rule trans :premises (@p397 @p396)) % 2.01/2.28 (step @p399 :rule symm :premises (@p379)) % 2.01/2.28 (step @p400 :rule cong :premises (@p399 @p398) :args (@t268)) % 2.01/2.28 (step @p401 :rule symm :premises (@p339)) % 2.01/2.28 (step @p402 :rule refl :args (tptp.sz10)) % 2.01/2.28 (step @p403 :rule symm :premises (@p187)) % 2.01/2.28 (step @p404 :rule trans :premises (@p403 @p59)) % 2.01/2.28 (step @p405 :rule cong :premises (@p404 @p371) :args ((tptp.sdtpldt0 @t199 @t185))) % 2.01/2.28 (step @p406 :rule cong :premises (@p187 @p155) :args (@t229)) % 2.01/2.28 (step @p407 :rule trans :premises (@p382 @p378)) % 2.01/2.28 (step @p408 :rule cong :premises (@p370 @p407) :args (@t214)) % 2.01/2.28 (step @p409 :rule symm :premises (@p216)) % 2.01/2.28 (step @p410 :rule cong :premises (@p136 @p402) :args (@t163)) % 2.01/2.28 (step @p411 :rule trans :premises (@p103 @p410 @p409 @p408 @p233 @p406 @p405)) % 2.01/2.28 (step @p412 :rule cong :premises (@p411 @p402) :args (@t225)) % 2.01/2.28 (step @p413 :rule trans :premises (@p412 @p401 @p400 @p395 @p394 @p393 @p392 @p391)) % 2.01/2.28 (step @p414 :rule cong :premises (@p370 @p413) :args (@t262)) % 2.01/2.28 (step @p415 :rule symm :premises (@p323)) % 2.01/2.28 (step @p416 :rule cong :premises (@p152 @p152) :args ((tptp.sdtpldt0 tptp.xp tptp.xp))) % 2.01/2.28 (step @p417 :rule cong :premises (@p371 @p371) :args (@t252)) % 2.01/2.28 (step @p418 :rule symm :premises (@p413)) % 2.01/2.28 (step @p419 :rule cong :premises (@p418 @p370) :args ((tptp.sdtasdt0 @t132 tptp.xp))) % 2.01/2.28 (step @p420 :rule symm :premises (@p197)) % 2.01/2.28 (step @p421 :rule cong :premises (@p420 @p370) :args ((tptp.sdtasdt0 @t203 tptp.xp))) % 2.01/2.28 (step @p422 :rule refl :args (@t203)) % 2.01/2.28 (step @p423 :rule cong :premises (@p422 @p389) :args ((tptp.sdtasdt0 @t203 @t132))) % 2.01/2.28 (step @p424 :rule cong :premises (@p422 @p413) :args ((tptp.sdtasdt0 @t203 @t225))) % 2.01/2.28 (step @p425 :rule refl :args (@t225)) % 2.01/2.28 (step @p426 :rule cong :premises (@p197 @p425) :args (@t258)) % 2.01/2.28 (step @p427 :rule symm :premises (@p315)) % 2.01/2.28 (step @p428 :rule cong :premises (@p386 @p402) :args (@t232)) % 2.01/2.28 (step @p429 :rule cong :premises (@p377 @p152) :args (@t205)) % 2.01/2.28 (step @p430 :rule trans :premises (@p194 @p429 @p245 @p428)) % 2.01/2.28 (step @p431 :rule cong :premises (@p430 @p430) :args ((tptp.sdtpldt0 @t132 @t132))) % 2.01/2.28 (step @p432 :rule cong :premises (@p420 @p413) :args ((tptp.sdtpldt0 @t203 @t225))) % 2.01/2.28 (step @p433 :rule cong :premises (@p197 @p425) :args (@t226)) % 2.01/2.28 (step @p434 :rule symm :premises (@p229)) % 2.01/2.28 (step @p435 :rule trans :premises (@p382 @p378 @p59)) % 2.01/2.28 (step @p436 :rule symm :premises (@p435)) % 2.01/2.28 (step @p437 :rule cong :premises (@p436 @p402) :args ((tptp.sdtpldt0 @t136 tptp.sz10))) % 2.01/2.28 (step @p438 :rule cong :premises (@p59 @p402) :args (@t172)) % 2.01/2.28 (step @p439 :rule trans :premises (@p129 @p438 @p437 @p434 @p433 @p432 @p431 @p427 @p426 @p424 @p423 @p421 @p419 @p307 @p417 @p416 @p415 @p414 @p390 @p372)) % 2.01/2.28 (step-pop @p500 :rule scope :premises (@p439)) % 2.01/2.28 (step-pop @p501 :rule scope :premises (@p500)) % 2.01/2.28 (step-pop @p502 :rule scope :premises (@p501)) % 2.01/2.28 (step-pop @p503 :rule scope :premises (@p502)) % 2.01/2.28 (step-pop @p504 :rule scope :premises (@p503)) % 2.01/2.28 (step-pop @p505 :rule scope :premises (@p504)) % 2.01/2.28 (step-pop @p506 :rule scope :premises (@p505)) % 2.01/2.28 (step-pop @p507 :rule scope :premises (@p506)) % 2.01/2.28 (step-pop @p508 :rule scope :premises (@p507)) % 2.01/2.28 (step-pop @p509 :rule scope :premises (@p508)) % 2.01/2.28 (step-pop @p510 :rule scope :premises (@p509)) % 2.01/2.28 (step-pop @p511 :rule scope :premises (@p510)) % 2.01/2.28 (step-pop @p512 :rule scope :premises (@p511)) % 2.01/2.28 (step-pop @p513 :rule scope :premises (@p512)) % 2.01/2.28 (step-pop @p514 :rule scope :premises (@p513)) % 2.01/2.28 (step-pop @p515 :rule scope :premises (@p514)) % 2.01/2.28 (step-pop @p516 :rule scope :premises (@p515)) % 2.01/2.28 (step-pop @p517 :rule scope :premises (@p516)) % 2.01/2.28 (step-pop @p518 :rule scope :premises (@p517)) % 2.01/2.28 (step-pop @p519 :rule scope :premises (@p518)) % 2.01/2.28 (step-pop @p520 :rule scope :premises (@p519)) % 2.01/2.28 (step-pop @p521 :rule scope :premises (@p520)) % 2.01/2.28 (step-pop @p522 :rule scope :premises (@p521)) % 2.01/2.28 (step-pop @p523 :rule scope :premises (@p522)) % 2.01/2.28 (step-pop @p524 :rule scope :premises (@p523)) % 2.01/2.28 (step-pop @p525 :rule scope :premises (@p524)) % 2.01/2.28 (step @p440 :rule process_scope :premises (@p525) :args (@t243)) % 2.01/2.28 (step @p467 :rule implies_elim :premises (@p440)) % 2.01/2.28 (step @p468 :rule cnf_and_neg :args (@t277)) % 2.01/2.28 (step @p469 :rule resolution :premises (@p468 @p467) :args (true @t277)) % 2.01/2.28 (step @p470 :rule reordering :premises (@p469) :args ((or (not @t275) (not @t276) (not @t148) (not @t158) (not @t164) (not @t168) (not @t175) (not @t173) (not @t181) (not @t188) (not @t186) (not @t195) (not @t200) (not @t206) (not @t204) @t243 (not @t215) (not @t221) (not @t227) (not @t230) (not @t249) (not @t233) (not @t253) (not @t259) (not @t263) (not @t269) (not @t273)))) % 2.01/2.28 (step @p471 false :rule chain_m_resolution :premises (@p470 @p343 @p339 @p323 @p315 @p307 @p291 @p284 @p245 @p233 @p229 @p224 @p216 @p197 @p194 @p187 @p171 @p155 @p152 @p136 @p129 @p126 @p110 @p103 @p86 @p75 @p61 @p59) :args (false (@list false false false false false false true false false false false false false false false false false false false false false false false false false false false) (@list @t273 @t269 @t263 @t259 @t253 @t249 @t243 @t233 @t230 @t227 @t221 @t215 @t204 @t206 @t200 @t195 @t186 @t188 @t181 @t173 @t175 @t168 @t164 @t158 @t148 @t276 @t275))) % 2.01/2.29 ) % 2.01/2.29 % SZS output end Proof % 2.01/2.29 % cvc5 exiting %------------------------------------------------------------------------------