%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG106+1 : 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 : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:45:42 AM UTC 2026 % Result : Theorem 0.34s 15.97s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG106+1 : 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 % 0.16/0.34 % Computer : n016.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 14:08:09 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.34/15.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/15.97 --- Run --no-e-matching --full-saturate-quant at 6... % 0.34/15.97 % SZS status Theorem % 0.34/15.97 % SZS output start Proof % 0.34/15.97 ( % 0.34/15.97 (declare-sort $$unsorted 0) % 0.34/15.97 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 0.34/15.97 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.34/15.97 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.34/15.97 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.34/15.97 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.34/15.97 (declare-const tptp.sz00 $$unsorted) % 0.34/15.97 (declare-const tptp.sz10 $$unsorted) % 0.34/15.97 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/15.97 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.34/15.97 (declare-const tptp.xc $$unsorted) % 0.34/15.97 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/15.97 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/15.97 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 0.34/15.97 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 0.34/15.97 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/15.97 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.34/15.97 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.34/15.97 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.34/15.97 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/15.97 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/15.97 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.34/15.97 (define @t1 () (@var "W0" $$unsorted)) % 0.34/15.97 (define @t2 () (tptp.aElement0 @t1)) % 0.34/15.97 (define @t3 () (@list @t1)) % 0.34/15.97 (define @t4 () (tptp.aElement0 tptp.sz10)) % 0.34/15.97 (define @t5 () (tptp.smndt0 @t1)) % 0.34/15.97 (define @t6 () (@var "W1" $$unsorted)) % 0.34/15.97 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 0.34/15.97 (define @t8 () (tptp.aElement0 @t6)) % 0.34/15.97 (define @t9 () (and @t2 @t8)) % 0.34/15.97 (define @t10 () (@list @t1 @t6)) % 0.34/15.97 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 0.34/15.97 (define @t12 () (@var "W2" $$unsorted)) % 0.34/15.97 (define @t13 () (tptp.sdtpldt0 @t6 @t12)) % 0.34/15.97 (define @t14 () (tptp.aElement0 @t12)) % 0.34/15.97 (define @t15 () (and @t2 @t8 @t14)) % 0.34/15.97 (define @t16 () (@list @t1 @t6 @t12)) % 0.34/15.97 (define @t17 () (tptp.sdtasdt0 @t6 @t1)) % 0.34/15.97 (define @t18 () (tptp.sdtasdt0 @t12 @t1)) % 0.34/15.97 (define @t19 () (tptp.sdtasdt0 @t1 @t12)) % 0.34/15.97 (define @t20 () (tptp.smndt0 tptp.sz10)) % 0.34/15.97 (define @t21 () (= @t6 tptp.sz00)) % 0.34/15.97 (define @t22 () (= @t1 tptp.sz00)) % 0.34/15.97 (define @t23 () (tptp.aSet0 @t1)) % 0.34/15.97 (define @t24 () (tptp.aElementOf0 @t6 @t1)) % 0.34/15.97 (define @t25 () (@list @t6)) % 0.34/15.97 (define @t26 () (tptp.aElementOf0 @t12 @t1)) % 0.34/15.97 (define @t27 () (tptp.aElementOf0 @t12 @t6)) % 0.34/15.97 (define @t28 () (@list @t12)) % 0.34/15.97 (define @t29 () (tptp.aSet0 @t6)) % 0.34/15.97 (define @t30 () (and @t23 @t29)) % 0.34/15.97 (define @t31 () (@var "W3" $$unsorted)) % 0.34/15.97 (define @t32 () (@var "W5" $$unsorted)) % 0.34/15.97 (define @t33 () (@var "W4" $$unsorted)) % 0.34/15.97 (define @t34 () (tptp.aElementOf0 @t31 @t12)) % 0.34/15.97 (define @t35 () (@list @t31)) % 0.34/15.97 (define @t36 () (tptp.aSet0 @t12)) % 0.34/15.97 (define @t37 () (tptp.sdtpldt1 @t1 @t6)) % 0.34/15.97 (define @t38 () (tptp.sdtasasdt0 @t1 @t6)) % 0.34/15.97 (define @t39 () (tptp.sdtasdt0 @t12 @t6)) % 0.34/15.97 (define @t40 () (tptp.aElementOf0 @t39 @t1)) % 0.34/15.97 (define @t41 () (forall @t28 (=> @t14 @t40))) % 0.34/15.97 (define @t42 () (tptp.aElementOf0 @t13 @t1)) % 0.34/15.97 (define @t43 () (forall @t28 (=> @t26 @t42))) % 0.34/15.97 (define @t44 () (and @t43 @t41)) % 0.34/15.97 (define @t45 () (=> @t24 @t44)) % 0.34/15.97 (define @t46 () (forall @t25 @t45)) % 0.34/15.97 (define @t47 () (and @t23 @t46)) % 0.34/15.97 (define @t48 () (tptp.aIdeal0 @t1)) % 0.34/15.97 (define @t49 () (= @t48 @t47)) % 0.34/15.97 (define @t50 () (forall @t3 @t49)) % 0.34/15.97 (define @t51 () (and @t48 (tptp.aIdeal0 @t6))) % 0.34/15.97 (define @t52 () (tptp.aElement0 @t33)) % 0.34/15.97 (define @t53 () (@list @t33)) % 0.34/15.97 (define @t54 () (tptp.aElement0 @t31)) % 0.34/15.97 (define @t55 () (@list @t12 @t31)) % 0.34/15.97 (define @t56 () (tptp.aNaturalNumber0 @t1)) % 0.34/15.97 (define @t57 () (tptp.sdtasdt0 @t1 @t31)) % 0.34/15.97 (define @t58 () (and @t54 (= @t57 @t12))) % 0.34/15.97 (define @t59 () (exists @t35 @t58)) % 0.34/15.97 (define @t60 () (= @t27 @t59)) % 0.34/15.97 (define @t61 () (forall @t28 @t60)) % 0.34/15.97 (define @t62 () (and @t29 @t61)) % 0.34/15.97 (define @t63 () (tptp.slsdtgt0 @t1)) % 0.34/15.97 (define @t64 () (= @t6 @t63)) % 0.34/15.97 (define @t65 () (= @t64 @t62)) % 0.34/15.97 (define @t66 () (forall @t25 @t65)) % 0.34/15.97 (define @t67 () (=> @t2 @t66)) % 0.34/15.97 (define @t68 () (forall @t3 @t67)) % 0.34/15.97 (define @t69 () (tptp.aElement0 tptp.xc)) % 0.34/15.97 (define @t70 () (tptp.slsdtgt0 tptp.xc)) % 0.34/15.97 (define @t71 () (tptp.aIdeal0 @t70)) % 0.34/15.97 (define @t72 () (tptp.aElementOf0 @t18 @t70)) % 0.34/15.97 (define @t73 () (tptp.aElementOf0 @t7 @t70)) % 0.34/15.97 (define @t74 () (= @t18 (tptp.sdtasdt0 tptp.xc (tptp.sdtasdt0 @t31 @t12)))) % 0.34/15.97 (define @t75 () (= @t7 (tptp.sdtasdt0 tptp.xc (tptp.sdtpldt0 @t31 @t33)))) % 0.34/15.97 (define @t76 () (tptp.sdtasdt0 tptp.xc @t33)) % 0.34/15.97 (define @t77 () (and @t52 (= @t76 @t6) @t75 @t74 @t73 @t72)) % 0.34/15.97 (define @t78 () (exists @t53 @t77)) % 0.34/15.97 (define @t79 () (tptp.sdtasdt0 tptp.xc @t31)) % 0.34/15.97 (define @t80 () (and @t54 (= @t79 @t1) @t78)) % 0.34/15.97 (define @t81 () (exists @t35 @t80)) % 0.34/15.97 (define @t82 () (tptp.aElementOf0 @t6 @t70)) % 0.34/15.97 (define @t83 () (tptp.aElementOf0 @t1 @t70)) % 0.34/15.97 (define @t84 () (and @t83 @t82 @t14)) % 0.34/15.97 (define @t85 () (=> @t84 @t81)) % 0.34/15.97 (define @t86 () (forall @t16 @t85)) % 0.34/15.97 (define @t87 () (=> @t86 @t71)) % 0.34/15.97 (define @t88 () (not @t87)) % 0.34/15.97 (define @t89 () (@var "BOUND_VARIABLE_7945" $$unsorted)) % 0.34/15.97 (define @t90 () (tptp.sdtasdt0 @t89 @t6)) % 0.34/15.97 (define @t91 () (not (tptp.aElement0 @t89))) % 0.34/15.97 (define @t92 () (@var "BOUND_VARIABLE_7938" $$unsorted)) % 0.34/15.97 (define @t93 () (tptp.sdtpldt0 @t6 @t92)) % 0.34/15.97 (define @t94 () (not @t82)) % 0.34/15.97 (define @t95 () (@list @t6 @t92 @t89)) % 0.34/15.97 (define @t96 () (forall @t95 (or @t94 (and (or (not (tptp.aElementOf0 @t92 @t70)) (tptp.aElementOf0 @t93 @t70)) (or @t91 (tptp.aElementOf0 @t90 @t70)))))) % 0.34/15.97 (define @t97 () (@quantifiers_skolemize @t96 2)) % 0.34/15.97 (define @t98 () (tptp.aElement0 @t97)) % 0.34/15.97 (define @t99 () (@quantifiers_skolemize @t96 0)) % 0.34/15.97 (define @t100 () (tptp.sdtasdt0 @t97 @t99)) % 0.34/15.97 (define @t101 () (tptp.aElementOf0 @t100 @t70)) % 0.34/15.97 (define @t102 () (not @t98)) % 0.34/15.97 (define @t103 () (or @t102 @t101)) % 0.34/15.97 (define @t104 () (or @t91 (tptp.aElementOf0 @t90 @t1))) % 0.34/15.97 (define @t105 () (or (not (tptp.aElementOf0 @t92 @t1)) (tptp.aElementOf0 @t93 @t1))) % 0.34/15.97 (define @t106 () (and @t105 @t104)) % 0.34/15.97 (define @t107 () (not @t24)) % 0.34/15.97 (define @t108 () (or @t107 @t106)) % 0.34/15.97 (define @t109 () (@list @t92 @t89)) % 0.34/15.97 (define @t110 () (forall @t109 @t108)) % 0.34/15.97 (define @t111 () (forall (@list @t89) @t104)) % 0.34/15.97 (define @t112 () (@list @t12)) % 0.34/15.97 (define @t113 () (forall @t109 @t104)) % 0.34/15.97 (define @t114 () (forall (@list @t92) @t105)) % 0.34/15.97 (define @t115 () (forall @t109 @t105)) % 0.34/15.97 (define @t116 () (and @t115 @t113)) % 0.34/15.97 (define @t117 () (forall @t109 @t106)) % 0.34/15.97 (define @t118 () (or @t107 @t117)) % 0.34/15.97 (define @t119 () (not @t14)) % 0.34/15.97 (define @t120 () (and (forall @t28 (or (not @t26) @t42)) (forall @t28 (or @t119 @t40)))) % 0.34/15.97 (define @t121 () (@var "BOUND_VARIABLE_8183" $$unsorted)) % 0.34/15.97 (define @t122 () (tptp.sdtasdt0 tptp.xc (tptp.sdtpldt0 @t31 @t121))) % 0.34/15.97 (define @t123 () (not (= @t7 @t122))) % 0.34/15.97 (define @t124 () (tptp.sdtasdt0 tptp.xc @t121)) % 0.34/15.97 (define @t125 () (not (= @t6 @t124))) % 0.34/15.97 (define @t126 () (not (tptp.aElement0 @t121))) % 0.34/15.97 (define @t127 () (not @t74)) % 0.34/15.97 (define @t128 () (= @t1 @t79)) % 0.34/15.97 (define @t129 () (not @t128)) % 0.34/15.97 (define @t130 () (not @t54)) % 0.34/15.97 (define @t131 () (or @t130 @t129 @t127 @t126 @t125 @t123)) % 0.34/15.97 (define @t132 () (@list @t31 @t121)) % 0.34/15.97 (define @t133 () (forall @t132 @t131)) % 0.34/15.97 (define @t134 () (not @t133)) % 0.34/15.97 (define @t135 () (and @t73 @t72 @t134)) % 0.34/15.97 (define @t136 () (not @t83)) % 0.34/15.97 (define @t137 () (or @t136 @t94 @t119 @t135)) % 0.34/15.97 (define @t138 () (or @t136 @t94 @t119)) % 0.34/15.97 (define @t139 () (not @t72)) % 0.34/15.97 (define @t140 () (not @t139)) % 0.34/15.97 (define @t141 () (not @t73)) % 0.34/15.97 (define @t142 () (not @t141)) % 0.34/15.97 (define @t143 () (and @t142 @t140 @t134)) % 0.34/15.97 (define @t144 () (not (or @t141 @t139 @t133))) % 0.34/15.97 (define @t145 () (or @t126 @t125 @t123)) % 0.34/15.97 (define @t146 () (or @t130 @t129 @t127 @t145)) % 0.34/15.97 (define @t147 () (forall @t132 @t146)) % 0.34/15.97 (define @t148 () (@list @t121)) % 0.34/15.97 (define @t149 () (forall @t148 @t146)) % 0.34/15.97 (define @t150 () (forall @t148 @t145)) % 0.34/15.97 (define @t151 () (or @t130 @t129 @t127 @t150)) % 0.34/15.97 (define @t152 () (not @t75)) % 0.34/15.97 (define @t153 () (= @t6 @t76)) % 0.34/15.97 (define @t154 () (not @t153)) % 0.34/15.97 (define @t155 () (not @t52)) % 0.34/15.97 (define @t156 () (or @t155 @t154 @t152)) % 0.34/15.97 (define @t157 () (forall @t53 @t156)) % 0.34/15.97 (define @t158 () (or @t130 @t129 @t127 @t157)) % 0.34/15.97 (define @t159 () (forall @t35 @t158)) % 0.34/15.97 (define @t160 () (or @t141 @t139 @t159)) % 0.34/15.97 (define @t161 () (or @t141 @t139 @t158)) % 0.34/15.97 (define @t162 () (or @t130 @t129 @t127 @t141 @t139 @t157)) % 0.34/15.97 (define @t163 () (or @t127 @t141 @t139 @t157)) % 0.34/15.97 (define @t164 () (not @t163)) % 0.34/15.97 (define @t165 () (not @t164)) % 0.34/15.97 (define @t166 () (or @t130 @t129 @t165)) % 0.34/15.97 (define @t167 () (and @t54 @t128 @t164)) % 0.34/15.97 (define @t168 () (forall @t35 (not @t167))) % 0.34/15.97 (define @t169 () (not @t168)) % 0.34/15.97 (define @t170 () (or @t127 @t141 @t139 @t156)) % 0.34/15.97 (define @t171 () (or @t155 @t154 @t152 @t127 @t141 @t139)) % 0.34/15.97 (define @t172 () (and @t52 @t153 @t75 @t74 @t73 @t72)) % 0.34/15.97 (define @t173 () (forall @t53 (not @t172))) % 0.34/15.97 (define @t174 () (not @t173)) % 0.34/15.97 (define @t175 () (tptp.aSet0 @t70)) % 0.34/15.97 (define @t176 () (and @t175 @t96)) % 0.34/15.97 (define @t177 () (= @t71 @t176)) % 0.34/15.97 (define @t178 () (not @t176)) % 0.34/15.97 (define @t179 () (@list true false)) % 0.34/15.97 (define @t180 () (@var "BOUND_VARIABLE_8134" $$unsorted)) % 0.34/15.97 (define @t181 () (tptp.aElementOf0 @t12 @t180)) % 0.34/15.97 (define @t182 () (= @t12 @t57)) % 0.34/15.97 (define @t183 () (not (forall @t35 (or @t130 (not @t182))))) % 0.34/15.97 (define @t184 () (forall @t28 (= @t181 @t183))) % 0.34/15.97 (define @t185 () (tptp.aSet0 @t180)) % 0.34/15.97 (define @t186 () (and @t185 @t184)) % 0.34/15.97 (define @t187 () (= (= @t180 @t63) @t186)) % 0.34/15.97 (define @t188 () (not @t2)) % 0.34/15.97 (define @t189 () (or @t188 @t187)) % 0.34/15.97 (define @t190 () (@list @t1 @t180)) % 0.34/15.97 (define @t191 () (forall @t190 @t189)) % 0.34/15.97 (define @t192 () (@list @t180)) % 0.34/15.97 (define @t193 () (forall @t192 @t189)) % 0.34/15.97 (define @t194 () (forall @t192 @t187)) % 0.34/15.97 (define @t195 () (or @t188 @t194)) % 0.34/15.97 (define @t196 () (forall @t25 (= @t64 (and @t29 (forall @t28 (= @t27 @t183)))))) % 0.34/15.97 (define @t197 () (and @t54 @t182)) % 0.34/15.97 (define @t198 () (forall @t35 (not @t197))) % 0.34/15.97 (define @t199 () (not @t198)) % 0.34/15.97 (define @t200 () (not (forall @t35 (or @t130 (not (= @t12 @t79)))))) % 0.34/15.97 (define @t201 () (tptp.aElementOf0 @t12 @t70)) % 0.34/15.97 (define @t202 () (and @t175 (forall @t28 (= @t201 @t200)))) % 0.34/15.97 (define @t203 () (forall @t28 (= @t200 @t201))) % 0.34/15.97 (define @t204 () (and @t175 @t203)) % 0.34/15.97 (define @t205 () (= (= @t70 @t70) @t204)) % 0.34/15.97 (define @t206 () (not @t69)) % 0.34/15.97 (define @t207 () (or @t206 @t205)) % 0.34/15.97 (define @t208 () (forall @t190 (or @t188 (= (= @t63 @t180) (and @t185 (forall @t28 (= @t183 @t181))))))) % 0.34/15.97 (define @t209 () (or @t206 @t202)) % 0.34/15.97 (define @t210 () (@list false)) % 0.34/15.97 (define @t211 () (not @t96)) % 0.34/15.97 (define @t212 () (@list false true)) % 0.34/15.97 (define @t213 () (tptp.aElementOf0 @t99 @t70)) % 0.34/15.97 (define @t214 () (@quantifiers_skolemize @t96 1)) % 0.34/15.97 (define @t215 () (tptp.sdtpldt0 @t99 @t214)) % 0.34/15.97 (define @t216 () (tptp.aElementOf0 @t215 @t70)) % 0.34/15.97 (define @t217 () (tptp.aElementOf0 @t214 @t70)) % 0.34/15.97 (define @t218 () (not @t217)) % 0.34/15.97 (define @t219 () (or @t218 @t216)) % 0.34/15.97 (define @t220 () (and @t219 @t103)) % 0.34/15.97 (define @t221 () (not @t213)) % 0.34/15.97 (define @t222 () (or @t221 @t220)) % 0.34/15.97 (define @t223 () (@list true)) % 0.34/15.97 (define @t224 () (@list @t222)) % 0.34/15.97 (define @t225 () (tptp.sdtpldt0 @t99 @t99)) % 0.34/15.97 (define @t226 () (not (= @t225 @t122))) % 0.34/15.97 (define @t227 () (not (= @t99 @t124))) % 0.34/15.97 (define @t228 () (not (= @t100 (tptp.sdtasdt0 tptp.xc (tptp.sdtasdt0 @t31 @t97))))) % 0.34/15.97 (define @t229 () (not (= @t99 @t79))) % 0.34/15.97 (define @t230 () (or @t130 @t229 @t228 @t126 @t227 @t226)) % 0.34/15.97 (define @t231 () (forall @t132 @t230)) % 0.34/15.97 (define @t232 () (not @t231)) % 0.34/15.97 (define @t233 () (tptp.aElementOf0 @t225 @t70)) % 0.34/15.97 (define @t234 () (and @t233 @t101 @t232)) % 0.34/15.97 (define @t235 () (or @t221 @t221 @t102 @t234)) % 0.34/15.97 (define @t236 () (forall @t16 @t137)) % 0.34/15.97 (define @t237 () (not (= @t79 @t99))) % 0.34/15.97 (define @t238 () (and @t233 @t101 (not (forall @t132 (or @t130 @t237 @t228 @t126 (not (= @t124 @t99)) (not (= @t122 @t225))))))) % 0.34/15.97 (define @t239 () (or @t221 @t221 @t102 @t238)) % 0.34/15.97 (define @t240 () (@list @t236)) % 0.34/15.97 (define @t241 () (@list @t219)) % 0.34/15.97 (define @t242 () (not (= @t215 @t122))) % 0.34/15.97 (define @t243 () (not (= @t214 @t124))) % 0.34/15.97 (define @t244 () (tptp.sdtasdt0 tptp.sz10 @t99)) % 0.34/15.97 (define @t245 () (not (= @t244 (tptp.sdtasdt0 tptp.xc (tptp.sdtasdt0 @t31 tptp.sz10))))) % 0.34/15.97 (define @t246 () (or @t130 @t229 @t245 @t126 @t243 @t242)) % 0.34/15.97 (define @t247 () (forall @t132 @t246)) % 0.34/15.97 (define @t248 () (not @t247)) % 0.34/15.97 (define @t249 () (tptp.aElementOf0 @t244 @t70)) % 0.34/15.97 (define @t250 () (and @t216 @t249 @t248)) % 0.34/15.97 (define @t251 () (not @t4)) % 0.34/15.97 (define @t252 () (or @t221 @t218 @t251 @t250)) % 0.34/15.97 (define @t253 () (and @t216 @t249 (not (forall @t132 (or @t130 @t237 @t245 @t126 (not (= @t124 @t214)) (not (= @t122 @t215))))))) % 0.34/15.97 (define @t254 () (or @t221 @t218 @t251 @t253)) % 0.34/15.97 (assume @p1 (forall @t3 (=> @t2 true))) % 0.34/15.97 (assume @p2 (tptp.aElement0 tptp.sz00)) % 0.34/15.97 (assume @p3 @t4) % 0.34/15.97 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t5)))) % 0.34/15.97 (assume @p5 (forall @t10 (=> @t9 (tptp.aElement0 @t7)))) % 0.34/15.97 (assume @p6 (forall @t10 (=> @t9 (tptp.aElement0 @t11)))) % 0.34/15.97 (assume @p7 (forall @t10 (=> @t9 (= @t7 (tptp.sdtpldt0 @t6 @t1))))) % 0.34/15.97 (assume @p8 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t7 @t12) (tptp.sdtpldt0 @t1 @t13))))) % 0.34/15.97 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.34/15.97 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t5) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1)))))) % 0.34/15.97 (assume @p11 (forall @t10 (=> @t9 (= @t11 @t17)))) % 0.34/15.97 (assume @p12 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t11 @t12) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t12)))))) % 0.34/15.97 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.34/15.97 (assume @p14 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t11 @t19)) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t17 @t18)))))) % 0.34/15.97 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t20 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t20)))))) % 0.34/15.97 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.34/15.97 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or @t22 @t21))))) % 0.34/15.97 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 0.34/15.97 (assume @p19 (forall @t3 (=> @t23 true))) % 0.34/15.97 (assume @p20 (forall @t3 (=> @t23 (forall @t25 (=> @t24 @t8))))) % 0.34/15.97 (assume @p21 (forall @t10 (=> @t30 (=> (and (forall @t28 (=> @t26 @t27)) (forall @t28 (=> @t27 @t26))) (= @t1 @t6))))) % 0.34/15.97 (assume @p22 (forall @t10 (=> @t30 (forall @t28 (= (= @t12 @t37) (and @t36 (forall @t35 (= @t34 (exists (@list @t33 @t32) (and (tptp.aElementOf0 @t33 @t1) (tptp.aElementOf0 @t32 @t6) (= (tptp.sdtpldt0 @t33 @t32) @t31))))))))))) % 0.34/15.97 (assume @p23 (forall @t10 (=> @t30 (forall @t28 (= (= @t12 @t38) (and @t36 (forall @t35 (= @t34 (and (tptp.aElementOf0 @t31 @t1) (tptp.aElementOf0 @t31 @t6)))))))))) % 0.34/15.97 (assume @p24 @t50) % 0.34/15.97 (assume @p25 (forall @t10 (=> @t51 (tptp.aIdeal0 @t37)))) % 0.34/15.97 (assume @p26 (forall @t10 (=> @t51 (tptp.aIdeal0 @t38)))) % 0.34/15.97 (assume @p27 (forall @t16 (=> (and @t2 @t8 (tptp.aIdeal0 @t12)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 @t12) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t6)) @t12))))) % 0.34/15.97 (assume @p28 (forall @t10 (=> @t51 (=> (forall @t28 (=> @t14 (tptp.aElementOf0 @t12 @t37))) (forall @t55 (=> (and @t14 @t54) (exists @t53 (and @t52 (tptp.sdteqdtlpzmzozddtrp0 @t33 @t12 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t33 @t31 @t6))))))))) % 0.34/15.97 (assume @p29 (forall @t3 (=> @t56 true))) % 0.34/15.97 (assume @p30 (forall @t3 (=> (and @t2 (not @t22)) (tptp.aNaturalNumber0 (tptp.sbrdtbr0 @t1))))) % 0.34/15.97 (assume @p31 (forall @t10 (=> (and @t56 (tptp.aNaturalNumber0 @t6)) (=> (tptp.iLess0 @t1 @t6) true)))) % 0.34/15.97 (assume @p32 (forall @t10 (=> (and @t2 @t8 (not @t21)) (exists @t55 (and @t14 @t54 (= @t1 (tptp.sdtpldt0 @t39 @t31)) (=> (not (= @t31 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t31) (tptp.sbrdtbr0 @t6)))))))) % 0.34/15.97 (assume @p33 (forall @t10 (=> @t9 (= (tptp.doDivides0 @t1 @t6) (exists @t28 (and @t14 (= @t19 @t6))))))) % 0.34/15.97 (assume @p34 (forall @t3 (=> @t2 (forall @t25 (= (tptp.aDivisorOf0 @t6 @t1) (and @t8 (tptp.doDivides0 @t6 @t1))))))) % 0.34/15.97 (assume @p35 (forall @t10 (=> @t9 (forall @t28 (= (tptp.aGcdOfAnd0 @t12 @t1 @t6) (and (tptp.aDivisorOf0 @t12 @t1) (tptp.aDivisorOf0 @t12 @t6) (forall @t35 (=> (and (tptp.aDivisorOf0 @t31 @t1) (tptp.aDivisorOf0 @t31 @t6)) (tptp.doDivides0 @t31 @t12))))))))) % 0.34/15.97 (assume @p36 (forall @t10 (=> @t9 (= (tptp.misRelativelyPrime0 @t1 @t6) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t6))))) % 0.34/15.97 (assume @p37 @t68) % 0.34/15.97 (assume @p38 @t69) % 0.34/15.97 (assume @p39 @t88) % 0.34/15.97 (assume @p40 true) % 0.34/15.97 (step @p41 :rule bool-double-not-elim :args (@t98)) % 0.34/15.97 (step @p42 :rule refl :args (@t103)) % 0.34/15.97 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t103 (not @t102)))) % 0.34/15.97 (step @p44 :rule cnf_or_neg :args (@t103 0)) % 0.34/15.97 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.34/15.97 (step @p46 :rule reordering :premises (@p45) :args ((or @t98 @t103))) % 0.34/15.97 (step @p47 :rule cnf_or_neg :args (@t103 1)) % 0.34/15.97 (step @p48 :rule quant-merge-prenex :args ((= (forall @t25 @t110) (forall @t95 @t108)))) % 0.34/15.97 (step @p49 :rule alpha_equiv :args (@t111 (@list @t89) @t112)) % 0.34/15.97 (step @p50 :rule quant-unused-vars :args ((= @t113 @t111))) % 0.34/15.97 (step @p51 :rule trans :premises (@p50 @p49)) % 0.34/15.97 (step @p52 :rule alpha_equiv :args (@t114 (@list @t92) @t112)) % 0.34/15.97 (step @p53 :rule quant-unused-vars :args ((= @t115 @t114))) % 0.34/15.97 (step @p54 :rule trans :premises (@p53 @p52)) % 0.34/15.97 (step @p55 :rule nary_cong :premises (@p54 @p51) :args (@t116)) % 0.34/15.97 (step @p56 :rule quant-miniscope-and :args ((= @t117 @t116))) % 0.34/15.97 (step @p57 :rule trans :premises (@p56 @p55)) % 0.34/15.97 (step @p58 :rule refl :args (@t107)) % 0.34/15.97 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t118)) % 0.34/15.97 (step @p60 :rule quant-miniscope-or :args ((= @t110 @t118))) % 0.34/15.97 (step @p61 :rule trans :premises (@p60 @p59)) % 0.34/15.97 (step @p62 :rule symm :premises (@p61)) % 0.34/15.97 (step @p63 :rule cong :premises (@p62) :args ((forall @t25 (or @t107 @t120)))) % 0.34/15.97 (step @p64 :rule trans :premises (@p63 @p48)) % 0.34/15.97 (step @p65 :rule bool-impl-elim :args (@t24 @t120)) % 0.34/15.97 (step @p66 :rule cong :premises (@p65) :args ((forall @t25 (=> @t24 @t120)))) % 0.34/15.97 (step @p67 :rule trans :premises (@p66 @p64)) % 0.34/15.97 (step @p68 :rule bool-impl-elim :args (@t14 @t40)) % 0.34/15.97 (step @p69 :rule cong :premises (@p68) :args (@t41)) % 0.34/15.97 (step @p70 :rule bool-impl-elim :args (@t26 @t42)) % 0.34/15.97 (step @p71 :rule cong :premises (@p70) :args (@t43)) % 0.34/15.97 (step @p72 :rule nary_cong :premises (@p71 @p69) :args (@t44)) % 0.34/15.97 (step @p73 :rule refl :args (@t24)) % 0.34/15.97 (step @p74 :rule cong :premises (@p73 @p72) :args (@t45)) % 0.34/15.97 (step @p75 :rule cong :premises (@p74) :args (@t46)) % 0.34/15.97 (step @p76 :rule trans :premises (@p75 @p67)) % 0.34/15.97 (step @p77 :rule refl :args (@t23)) % 0.34/15.97 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t47)) % 0.34/15.97 (step @p79 :rule refl :args (@t48)) % 0.34/15.97 (step @p80 :rule cong :premises (@p79 @p78) :args (@t49)) % 0.34/15.97 (step @p81 :rule cong :premises (@p80) :args (@t50)) % 0.34/15.97 (step @p82 :rule eq_resolve :premises (@p24 @p81)) % 0.34/15.97 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t70))) % 0.34/15.97 (step @p84 :rule refl :args (@t71)) % 0.34/15.97 (step @p85 :rule aci_norm :args ((= (or @t138 @t135) @t137))) % 0.34/15.97 (step @p86 :rule refl :args (@t134)) % 0.34/15.97 (step @p87 :rule bool-double-not-elim :args (@t72)) % 0.34/15.97 (step @p88 :rule bool-double-not-elim :args (@t73)) % 0.34/15.97 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args (@t143)) % 0.34/15.97 (step @p90 :rule aci_norm :args ((= (and @t142 (and @t140 @t134)) @t143))) % 0.34/15.97 (step @p91 :rule trans :premises (@p90 @p89)) % 0.34/15.97 (step @p92 :rule bool-or-de-morgan :args (@t139 @t133 false)) % 0.34/15.97 (step @p93 :rule refl :args (@t142)) % 0.34/15.97 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((and @t142 (not (or @t139 @t133))))) % 0.34/15.97 (step @p95 :rule bool-or-de-morgan :args (@t141 @t139 (or @t133))) % 0.34/15.97 (step @p96 :rule trans :premises (@p95 @p94)) % 0.34/15.97 (step @p97 :rule trans :premises (@p96 @p91)) % 0.34/15.97 (step @p98 :rule aci_norm :args ((= (or @t136 (or @t94 @t119)) @t138))) % 0.34/15.97 (step @p99 :rule bool-and-de-morgan :args (@t82 @t14 true)) % 0.34/15.97 (step @p100 :rule refl :args (@t136)) % 0.34/15.97 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t136 (not (and @t82 @t14))))) % 0.34/15.97 (step @p102 :rule bool-and-de-morgan :args (@t83 @t82 (and @t14))) % 0.34/15.97 (step @p103 :rule trans :premises (@p102 @p101)) % 0.34/15.97 (step @p104 :rule trans :premises (@p103 @p98)) % 0.34/15.97 (step @p105 :rule nary_cong :premises (@p104 @p97) :args ((or (not @t84) @t144))) % 0.34/15.97 (step @p106 :rule trans :premises (@p105 @p85)) % 0.34/15.97 (step @p107 :rule bool-impl-elim :args (@t84 @t144)) % 0.34/15.97 (step @p108 :rule trans :premises (@p107 @p106)) % 0.34/15.97 (step @p109 :rule cong :premises (@p108) :args ((forall @t16 (=> @t84 @t144)))) % 0.34/15.97 (step @p110 :rule aci_norm :args ((= @t146 @t131))) % 0.34/15.97 (step @p111 :rule cong :premises (@p110) :args (@t147)) % 0.34/15.97 (step @p112 :rule quant-merge-prenex :args ((= (forall @t35 @t149) @t147))) % 0.34/15.97 (step @p113 :rule alpha_equiv :args (@t150 (@list @t121) (@list @t33))) % 0.34/15.97 (step @p114 :rule refl :args (@t127)) % 0.34/15.97 (step @p115 :rule refl :args (@t129)) % 0.34/15.97 (step @p116 :rule refl :args (@t130)) % 0.34/15.97 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p113) :args (@t151)) % 0.34/15.97 (step @p118 :rule quant-miniscope-or :args ((= @t149 @t151))) % 0.34/15.97 (step @p119 :rule trans :premises (@p118 @p117)) % 0.34/15.97 (step @p120 :rule symm :premises (@p119)) % 0.34/15.97 (step @p121 :rule cong :premises (@p120) :args (@t159)) % 0.34/15.97 (step @p122 :rule trans :premises (@p121 @p112)) % 0.34/15.97 (step @p123 :rule trans :premises (@p122 @p111)) % 0.34/15.97 (step @p124 :rule refl :args (@t139)) % 0.34/15.97 (step @p125 :rule refl :args (@t141)) % 0.34/15.97 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args (@t160)) % 0.34/15.97 (step @p127 :rule quant-miniscope-or :args ((= (forall @t35 @t161) @t160))) % 0.34/15.97 (step @p128 :rule aci_norm :args ((= @t162 @t161))) % 0.34/15.97 (step @p129 :rule cong :premises (@p128) :args ((forall @t35 @t162))) % 0.34/15.97 (step @p130 :rule trans :premises (@p129 @p127)) % 0.34/15.97 (step @p131 :rule trans :premises (@p130 @p126)) % 0.34/15.97 (step @p132 :rule aci_norm :args ((= (or @t130 @t129 @t163) @t162))) % 0.34/15.97 (step @p133 :rule bool-double-not-elim :args (@t163)) % 0.34/15.97 (step @p134 :rule nary_cong :premises (@p116 @p115 @p133) :args (@t166)) % 0.34/15.97 (step @p135 :rule aci_norm :args ((= (or @t130 (or @t129 @t165)) @t166))) % 0.34/15.97 (step @p136 :rule trans :premises (@p135 @p134)) % 0.34/15.97 (step @p137 :rule bool-and-de-morgan :args (@t128 @t164 true)) % 0.34/15.97 (step @p138 :rule nary_cong :premises (@p116 @p137) :args ((or @t130 (not (and @t128 @t164))))) % 0.34/15.97 (step @p139 :rule bool-and-de-morgan :args (@t54 @t128 (and @t164))) % 0.34/15.97 (step @p140 :rule trans :premises (@p139 @p138)) % 0.34/15.97 (step @p141 :rule trans :premises (@p140 @p136)) % 0.34/15.97 (step @p142 :rule trans :premises (@p141 @p132)) % 0.34/15.97 (step @p143 :rule cong :premises (@p142) :args (@t168)) % 0.34/15.97 (step @p144 :rule trans :premises (@p143 @p131)) % 0.34/15.97 (step @p145 :rule cong :premises (@p144) :args (@t169)) % 0.34/15.97 (step @p146 :rule exists-elim :args ((= (exists @t35 @t167) @t169))) % 0.34/15.97 (step @p147 :rule trans :premises (@p146 @p145)) % 0.34/15.97 (step @p148 :rule quant-miniscope-or :args ((= (forall @t53 @t170) @t163))) % 0.34/15.97 (step @p149 :rule aci_norm :args ((= @t171 @t170))) % 0.34/15.97 (step @p150 :rule cong :premises (@p149) :args ((forall @t53 @t171))) % 0.34/15.97 (step @p151 :rule trans :premises (@p150 @p148)) % 0.34/15.97 (step @p152 :rule aci_norm :args ((= (or @t155 (or @t154 (or @t152 (or @t127 (or @t141 @t139))))) @t171))) % 0.34/15.97 (step @p153 :rule bool-and-de-morgan :args (@t73 @t72 true)) % 0.34/15.97 (step @p154 :rule nary_cong :premises (@p114 @p153) :args ((or @t127 (not (and @t73 @t72))))) % 0.34/15.97 (step @p155 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72))) % 0.34/15.97 (step @p156 :rule trans :premises (@p155 @p154)) % 0.34/15.97 (step @p157 :rule refl :args (@t152)) % 0.34/15.97 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t152 (not (and @t74 @t73 @t72))))) % 0.34/15.97 (step @p159 :rule bool-and-de-morgan :args (@t75 @t74 (and @t73 @t72))) % 0.34/15.97 (step @p160 :rule trans :premises (@p159 @p158)) % 0.34/15.97 (step @p161 :rule refl :args (@t154)) % 0.34/15.97 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t154 (not (and @t75 @t74 @t73 @t72))))) % 0.34/15.97 (step @p163 :rule bool-and-de-morgan :args (@t153 @t75 (and @t74 @t73 @t72))) % 0.34/15.97 (step @p164 :rule trans :premises (@p163 @p162)) % 0.34/15.97 (step @p165 :rule refl :args (@t155)) % 0.34/15.97 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t155 (not (and @t153 @t75 @t74 @t73 @t72))))) % 0.34/15.97 (step @p167 :rule bool-and-de-morgan :args (@t52 @t153 (and @t75 @t74 @t73 @t72))) % 0.34/15.97 (step @p168 :rule trans :premises (@p167 @p166)) % 0.34/15.97 (step @p169 :rule trans :premises (@p168 @p152)) % 0.34/15.97 (step @p170 :rule cong :premises (@p169) :args (@t173)) % 0.34/15.97 (step @p171 :rule trans :premises (@p170 @p151)) % 0.34/15.97 (step @p172 :rule cong :premises (@p171) :args (@t174)) % 0.34/15.97 (step @p173 :rule exists-elim :args ((= (exists @t53 @t172) @t174))) % 0.34/15.97 (step @p174 :rule trans :premises (@p173 @p172)) % 0.34/15.97 (step @p175 :rule refl :args (@t72)) % 0.34/15.97 (step @p176 :rule refl :args (@t73)) % 0.34/15.97 (step @p177 :rule refl :args (@t74)) % 0.34/15.97 (step @p178 :rule refl :args (@t75)) % 0.34/15.97 (step @p179 :rule eq-symm :args (@t76 @t6)) % 0.34/15.97 (step @p180 :rule refl :args (@t52)) % 0.34/15.97 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178 @p177 @p176 @p175) :args (@t77)) % 0.34/15.97 (step @p182 :rule cong :premises (@p181) :args (@t78)) % 0.34/15.97 (step @p183 :rule trans :premises (@p182 @p174)) % 0.34/15.97 (step @p184 :rule eq-symm :args (@t79 @t1)) % 0.34/15.97 (step @p185 :rule refl :args (@t54)) % 0.34/15.97 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args (@t80)) % 0.34/15.97 (step @p187 :rule cong :premises (@p186) :args (@t81)) % 0.34/15.97 (step @p188 :rule trans :premises (@p187 @p147)) % 0.34/15.97 (step @p189 :rule refl :args (@t84)) % 0.34/15.97 (step @p190 :rule cong :premises (@p189 @p188) :args (@t85)) % 0.34/15.97 (step @p191 :rule cong :premises (@p190) :args (@t86)) % 0.34/15.97 (step @p192 :rule trans :premises (@p191 @p109)) % 0.34/15.97 (step @p193 :rule cong :premises (@p192 @p84) :args (@t87)) % 0.34/15.97 (step @p194 :rule cong :premises (@p193) :args (@t88)) % 0.34/15.97 (step @p195 :rule eq_resolve :premises (@p39 @p194)) % 0.34/15.97 (step @p196 :rule not_implies_elim2 :premises (@p195)) % 0.34/15.97 (step @p197 :rule cnf_equiv_pos2 :args (@t177)) % 0.34/15.97 (step @p198 :rule reordering :premises (@p197) :args ((or @t71 @t178 (not @t177)))) % 0.34/15.97 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p83) :args (@t178 @t179 (@list @t71 @t177))) % 0.34/15.97 (step @p200 :rule eq-symm :args (@t181 @t183)) % 0.34/15.97 (step @p201 :rule cong :premises (@p200) :args (@t184)) % 0.34/15.97 (step @p202 :rule refl :args (@t185)) % 0.34/15.97 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t186)) % 0.34/15.97 (step @p204 :rule eq-symm :args (@t180 @t63)) % 0.34/15.97 (step @p205 :rule cong :premises (@p204 @p203) :args (@t187)) % 0.34/15.97 (step @p206 :rule refl :args (@t188)) % 0.34/15.97 (step @p207 :rule nary_cong :premises (@p206 @p205) :args (@t189)) % 0.34/15.97 (step @p208 :rule cong :premises (@p207) :args (@t191)) % 0.34/15.97 (step @p209 :rule quant-merge-prenex :args ((= (forall @t3 @t193) @t191))) % 0.34/15.97 (step @p210 :rule alpha_equiv :args (@t194 (@list @t180) (@list @t6))) % 0.34/15.97 (step @p211 :rule refl :args (@t188)) % 0.34/15.97 (step @p212 :rule nary_cong :premises (@p211 @p210) :args (@t195)) % 0.34/15.97 (step @p213 :rule quant-miniscope-or :args ((= @t193 @t195))) % 0.34/15.97 (step @p214 :rule trans :premises (@p213 @p212)) % 0.34/15.97 (step @p215 :rule symm :premises (@p214)) % 0.34/15.97 (step @p216 :rule cong :premises (@p215) :args ((forall @t3 (or @t188 @t196)))) % 0.34/15.97 (step @p217 :rule trans :premises (@p216 @p209)) % 0.34/15.97 (step @p218 :rule trans :premises (@p217 @p208)) % 0.34/15.97 (step @p219 :rule bool-impl-elim :args (@t2 @t196)) % 0.34/15.97 (step @p220 :rule cong :premises (@p219) :args ((forall @t3 (=> @t2 @t196)))) % 0.34/15.97 (step @p221 :rule trans :premises (@p220 @p218)) % 0.34/15.97 (step @p222 :rule bool-and-de-morgan :args (@t54 @t182 true)) % 0.34/15.97 (step @p223 :rule cong :premises (@p222) :args (@t198)) % 0.34/15.97 (step @p224 :rule cong :premises (@p223) :args (@t199)) % 0.34/15.97 (step @p225 :rule exists-elim :args ((= (exists @t35 @t197) @t199))) % 0.34/15.97 (step @p226 :rule trans :premises (@p225 @p224)) % 0.34/15.97 (step @p227 :rule eq-symm :args (@t57 @t12)) % 0.34/15.97 (step @p228 :rule nary_cong :premises (@p185 @p227) :args (@t58)) % 0.34/15.97 (step @p229 :rule cong :premises (@p228) :args (@t59)) % 0.34/15.97 (step @p230 :rule trans :premises (@p229 @p226)) % 0.34/15.97 (step @p231 :rule refl :args (@t27)) % 0.34/15.97 (step @p232 :rule cong :premises (@p231 @p230) :args (@t60)) % 0.34/15.97 (step @p233 :rule cong :premises (@p232) :args (@t61)) % 0.34/15.97 (step @p234 :rule refl :args (@t29)) % 0.34/15.97 (step @p235 :rule nary_cong :premises (@p234 @p233) :args (@t62)) % 0.34/15.97 (step @p236 :rule refl :args (@t64)) % 0.34/15.97 (step @p237 :rule cong :premises (@p236 @p235) :args (@t65)) % 0.34/15.97 (step @p238 :rule cong :premises (@p237) :args (@t66)) % 0.34/15.97 (step @p239 :rule refl :args (@t2)) % 0.34/15.97 (step @p240 :rule cong :premises (@p239 @p238) :args (@t67)) % 0.34/15.97 (step @p241 :rule cong :premises (@p240) :args (@t68)) % 0.34/15.97 (step @p242 :rule trans :premises (@p241 @p221)) % 0.34/15.97 (step @p243 :rule eq_resolve :premises (@p37 @p242)) % 0.34/15.97 (step @p244 :rule bool-eq-true :args (@t202)) % 0.34/15.97 (step @p245 :rule eq-symm :args (true @t202)) % 0.34/15.97 (step @p246 :rule trans :premises (@p245 @p244)) % 0.34/15.97 (step @p247 :rule eq-symm :args (@t200 @t201)) % 0.34/15.97 (step @p248 :rule cong :premises (@p247) :args (@t203)) % 0.34/15.97 (step @p249 :rule refl :args (@t175)) % 0.34/15.97 (step @p250 :rule nary_cong :premises (@p249 @p248) :args (@t204)) % 0.34/15.97 (step @p251 :rule eq-refl :args (@t70)) % 0.34/15.97 (step @p252 :rule cong :premises (@p251 @p250) :args (@t205)) % 0.34/15.97 (step @p253 :rule trans :premises (@p252 @p246)) % 0.34/15.97 (step @p254 :rule refl :args (@t206)) % 0.34/15.97 (step @p255 :rule nary_cong :premises (@p254 @p253) :args (@t207)) % 0.34/15.97 (step @p256 :rule refl :args (@t208)) % 0.34/15.97 (step @p257 :rule cong :premises (@p256 @p255) :args ((=> @t208 @t207))) % 0.34/15.97 (assume-push @p357 @t208) % 0.34/15.97 (step @p259 :rule instantiate :premises (@p243) :args ((@list tptp.xc @t70))) % 0.34/15.97 (step-pop @p358 :rule scope :premises (@p259)) % 0.34/15.97 (step @p260 :rule process_scope :premises (@p358) :args (@t207)) % 0.34/15.97 (step @p262 :rule eq_resolve :premises (@p260 @p257)) % 0.34/15.97 (step @p263 :rule implies_elim :premises (@p262)) % 0.34/15.97 (step @p264 :rule chain_m_resolution :premises (@p263 @p243) :args (@t209 @t210 (@list @t208))) % 0.34/15.97 (step @p265 :rule cnf_or_pos :args (@t209)) % 0.34/15.97 (step @p266 :rule reordering :premises (@p265) :args ((or @t206 @t202 (not @t209)))) % 0.34/15.97 (step @p267 :rule chain_m_resolution :premises (@p266 @p38 @p264) :args (@t202 (@list false false) (@list @t69 @t209))) % 0.34/15.97 (step @p268 :rule cnf_and_pos :args (@t202 0)) % 0.34/15.97 (step @p269 :rule reordering :premises (@p268) :args ((or @t175 (not @t202)))) % 0.34/15.97 (step @p270 :rule chain_m_resolution :premises (@p269 @p267) :args (@t175 @t210 (@list @t202))) % 0.34/15.97 (step @p271 :rule cnf_and_neg :args (@t176)) % 0.34/15.97 (step @p272 :rule reordering :premises (@p271) :args ((or (not @t175) @t176 @t211))) % 0.34/15.97 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p199) :args (@t211 @t212 (@list @t175 @t176))) % 0.34/15.97 (step @p274 :rule skolemize :premises (@p273)) % 0.34/15.97 (step @p275 :rule bool-double-not-elim :args (@t213)) % 0.34/15.97 (step @p276 :rule refl :args (@t222)) % 0.34/15.97 (step @p277 :rule nary_cong :premises (@p276 @p275) :args ((or @t222 (not @t221)))) % 0.34/15.97 (step @p278 :rule cnf_or_neg :args (@t222 0)) % 0.34/15.97 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 0.34/15.97 (step @p280 :rule reordering :premises (@p279) :args ((or @t213 @t222))) % 0.34/15.97 (step @p281 :rule chain_m_resolution :premises (@p280 @p274) :args (@t213 @t223 @t224)) % 0.34/15.97 (step @p282 :rule not_implies_elim1 :premises (@p195)) % 0.34/15.97 (step @p283 :rule eq-symm :args (@t225 @t122)) % 0.34/15.97 (step @p284 :rule cong :premises (@p283) :args (@t226)) % 0.34/15.97 (step @p285 :rule eq-symm :args (@t99 @t124)) % 0.34/15.97 (step @p286 :rule cong :premises (@p285) :args (@t227)) % 0.34/15.97 (step @p287 :rule refl :args (@t126)) % 0.34/15.97 (step @p288 :rule refl :args (@t228)) % 0.34/15.97 (step @p289 :rule eq-symm :args (@t99 @t79)) % 0.34/15.97 (step @p290 :rule cong :premises (@p289) :args (@t229)) % 0.34/15.97 (step @p291 :rule refl :args (@t130)) % 0.34/15.97 (step @p292 :rule nary_cong :premises (@p291 @p290 @p288 @p287 @p286 @p284) :args (@t230)) % 0.34/15.97 (step @p293 :rule cong :premises (@p292) :args (@t231)) % 0.34/15.97 (step @p294 :rule cong :premises (@p293) :args (@t232)) % 0.34/15.97 (step @p295 :rule refl :args (@t101)) % 0.34/15.97 (step @p296 :rule refl :args (@t233)) % 0.34/15.97 (step @p297 :rule nary_cong :premises (@p296 @p295 @p294) :args (@t234)) % 0.34/15.97 (step @p298 :rule refl :args (@t102)) % 0.34/15.97 (step @p299 :rule refl :args (@t221)) % 0.34/15.97 (step @p300 :rule nary_cong :premises (@p299 @p299 @p298 @p297) :args (@t235)) % 0.34/15.97 (step @p301 :rule refl :args (@t236)) % 0.34/15.97 (step @p302 :rule cong :premises (@p301 @p300) :args ((=> @t236 @t235))) % 0.34/15.97 (assume-push @p359 @t236) % 0.34/15.97 (step @p304 :rule instantiate :premises (@p282) :args ((@list @t99 @t99 @t97))) % 0.34/15.97 (step-pop @p360 :rule scope :premises (@p304)) % 0.34/15.97 (step @p305 :rule process_scope :premises (@p360) :args (@t235)) % 0.34/15.97 (step @p307 :rule eq_resolve :premises (@p305 @p302)) % 0.34/15.97 (step @p308 :rule implies_elim :premises (@p307)) % 0.34/15.97 (step @p309 :rule chain_m_resolution :premises (@p308 @p282) :args (@t239 @t210 @t240)) % 0.34/15.97 (step @p310 :rule cnf_or_pos :args (@t239)) % 0.34/15.97 (step @p311 :rule factoring :premises (@p310)) % 0.34/15.97 (step @p312 :rule reordering :premises (@p311) :args ((or @t221 @t102 @t238 (not @t239)))) % 0.34/15.97 (step @p313 :rule cnf_and_pos :args (@t238 1)) % 0.34/15.97 (step @p314 :rule reordering :premises (@p313) :args ((or @t101 (not @t238)))) % 0.34/15.97 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p309 @p281 @p47 @p46) :args (@t103 (@list false false false true false) (@list @t238 @t239 @t213 @t101 @t98))) % 0.34/15.97 (step @p316 :rule cnf_or_neg :args (@t222 1)) % 0.34/15.97 (step @p317 :rule chain_m_resolution :premises (@p316 @p274) :args ((not @t220) @t223 @t224)) % 0.34/15.97 (step @p318 :rule cnf_and_neg :args (@t220)) % 0.34/15.97 (step @p319 :rule chain_m_resolution :premises (@p318 @p317 @p315) :args ((not @t219) @t179 (@list @t220 @t103))) % 0.34/15.97 (step @p320 :rule cnf_or_neg :args (@t219 1)) % 0.34/15.97 (step @p321 :rule chain_m_resolution :premises (@p320 @p319) :args ((not @t216) @t223 @t241)) % 0.34/15.97 (step @p322 :rule eq-symm :args (@t215 @t122)) % 0.34/15.97 (step @p323 :rule cong :premises (@p322) :args (@t242)) % 0.34/15.97 (step @p324 :rule eq-symm :args (@t214 @t124)) % 0.34/15.97 (step @p325 :rule cong :premises (@p324) :args (@t243)) % 0.34/15.97 (step @p326 :rule refl :args (@t245)) % 0.34/15.97 (step @p327 :rule nary_cong :premises (@p291 @p290 @p326 @p287 @p325 @p323) :args (@t246)) % 0.34/15.97 (step @p328 :rule cong :premises (@p327) :args (@t247)) % 0.34/15.97 (step @p329 :rule cong :premises (@p328) :args (@t248)) % 0.34/15.97 (step @p330 :rule refl :args (@t249)) % 0.34/15.97 (step @p331 :rule refl :args (@t216)) % 0.34/15.97 (step @p332 :rule nary_cong :premises (@p331 @p330 @p329) :args (@t250)) % 0.34/15.97 (step @p333 :rule refl :args (@t251)) % 0.34/15.97 (step @p334 :rule refl :args (@t218)) % 0.34/15.97 (step @p335 :rule nary_cong :premises (@p299 @p334 @p333 @p332) :args (@t252)) % 0.34/15.97 (step @p336 :rule cong :premises (@p301 @p335) :args ((=> @t236 @t252))) % 0.34/15.97 (assume-push @p361 @t236) % 0.34/15.97 (step @p338 :rule instantiate :premises (@p282) :args ((@list @t99 @t214 tptp.sz10))) % 0.34/15.97 (step-pop @p362 :rule scope :premises (@p338)) % 0.34/15.97 (step @p339 :rule process_scope :premises (@p362) :args (@t252)) % 0.34/15.97 (step @p341 :rule eq_resolve :premises (@p339 @p336)) % 0.34/15.97 (step @p342 :rule implies_elim :premises (@p341)) % 0.34/15.97 (step @p343 :rule chain_m_resolution :premises (@p342 @p282) :args (@t254 @t210 @t240)) % 0.34/15.97 (step @p344 :rule bool-double-not-elim :args (@t217)) % 0.34/15.97 (step @p345 :rule refl :args (@t219)) % 0.34/15.97 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((or @t219 (not @t218)))) % 0.34/15.97 (step @p347 :rule cnf_or_neg :args (@t219 0)) % 0.34/15.97 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 0.34/15.97 (step @p349 :rule reordering :premises (@p348) :args ((or @t217 @t219))) % 0.34/15.97 (step @p350 :rule chain_m_resolution :premises (@p349 @p319) :args (@t217 @t223 @t241)) % 0.34/15.97 (step @p351 :rule cnf_or_pos :args (@t254)) % 0.34/15.97 (step @p352 :rule reordering :premises (@p351) :args ((or @t251 @t221 @t218 @t253 (not @t254)))) % 0.34/15.97 (step @p353 :rule chain_m_resolution :premises (@p352 @p3 @p281 @p350 @p343) :args (@t253 (@list false false false false) (@list @t4 @t213 @t217 @t254))) % 0.34/15.97 (step @p354 :rule cnf_and_pos :args (@t253 0)) % 0.34/15.97 (step @p355 :rule reordering :premises (@p354) :args ((or @t216 (not @t253)))) % 0.34/15.97 (step @p356 false :rule chain_m_resolution :premises (@p355 @p353 @p321) :args (false @t212 (@list @t253 @t216))) % 0.34/15.97 ) % 0.34/15.97 % SZS output end Proof % 0.34/15.98 % cvc5 exiting %------------------------------------------------------------------------------