%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG109+4 : 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 : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:45:42 AM UTC 2026 % Result : Theorem 16.34s 16.58s % Output : Proof 16.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG109+4 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.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 14:08:28 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 16.34/16.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.34/16.58 --- Run --no-e-matching --full-saturate-quant at 6... % 16.34/16.58 % SZS status Theorem % 16.34/16.58 % SZS output start Proof % 16.34/16.58 ( % 16.34/16.58 (declare-sort $$unsorted 0) % 16.34/16.58 (declare-const tptp.xI $$unsorted) % 16.34/16.58 (declare-const tptp.xc $$unsorted) % 16.34/16.58 (declare-const tptp.xa $$unsorted) % 16.34/16.58 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 16.34/16.58 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 16.34/16.58 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.34/16.58 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 16.34/16.58 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 16.34/16.58 (declare-const tptp.sz00 $$unsorted) % 16.34/16.58 (declare-const tptp.sz10 $$unsorted) % 16.34/16.58 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.34/16.58 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 16.34/16.58 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.34/16.58 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.34/16.58 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 16.34/16.58 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 16.34/16.58 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.34/16.58 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 16.34/16.58 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 16.34/16.58 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 16.34/16.58 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.34/16.58 (declare-const tptp.xb $$unsorted) % 16.34/16.58 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 16.34/16.58 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 16.34/16.58 (define @t1 () (@var "W0" $$unsorted)) % 16.34/16.58 (define @t2 () (tptp.aElement0 @t1)) % 16.34/16.58 (define @t3 () (@list @t1)) % 16.34/16.58 (define @t4 () (tptp.aElement0 tptp.sz00)) % 16.34/16.58 (define @t5 () (tptp.smndt0 @t1)) % 16.34/16.58 (define @t6 () (@var "W1" $$unsorted)) % 16.34/16.58 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 16.34/16.58 (define @t8 () (tptp.aElement0 @t6)) % 16.34/16.58 (define @t9 () (and @t2 @t8)) % 16.34/16.58 (define @t10 () (@list @t1 @t6)) % 16.34/16.58 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 16.34/16.58 (define @t12 () (= @t7 (tptp.sdtpldt0 @t6 @t1))) % 16.34/16.58 (define @t13 () (forall @t10 (=> @t9 @t12))) % 16.34/16.58 (define @t14 () (@var "W2" $$unsorted)) % 16.34/16.58 (define @t15 () (tptp.sdtpldt0 @t6 @t14)) % 16.34/16.58 (define @t16 () (tptp.aElement0 @t14)) % 16.34/16.58 (define @t17 () (and @t2 @t8 @t16)) % 16.34/16.58 (define @t18 () (@list @t1 @t6 @t14)) % 16.34/16.58 (define @t19 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 16.34/16.58 (define @t20 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 16.34/16.58 (define @t21 () (and (= @t20 @t1) @t19)) % 16.34/16.58 (define @t22 () (=> @t2 @t21)) % 16.34/16.58 (define @t23 () (forall @t3 @t22)) % 16.34/16.58 (define @t24 () (tptp.sdtasdt0 @t6 @t1)) % 16.34/16.58 (define @t25 () (tptp.sdtasdt0 @t1 @t14)) % 16.34/16.58 (define @t26 () (tptp.smndt0 tptp.sz10)) % 16.34/16.58 (define @t27 () (= @t6 tptp.sz00)) % 16.34/16.58 (define @t28 () (= @t1 tptp.sz00)) % 16.34/16.58 (define @t29 () (tptp.aSet0 @t1)) % 16.34/16.58 (define @t30 () (tptp.aElementOf0 @t6 @t1)) % 16.34/16.58 (define @t31 () (@list @t6)) % 16.34/16.58 (define @t32 () (tptp.aElementOf0 @t14 @t1)) % 16.34/16.58 (define @t33 () (tptp.aElementOf0 @t14 @t6)) % 16.34/16.58 (define @t34 () (@list @t14)) % 16.34/16.58 (define @t35 () (tptp.aSet0 @t6)) % 16.34/16.58 (define @t36 () (and @t29 @t35)) % 16.34/16.58 (define @t37 () (@var "W3" $$unsorted)) % 16.34/16.58 (define @t38 () (@var "W5" $$unsorted)) % 16.34/16.58 (define @t39 () (@var "W4" $$unsorted)) % 16.34/16.58 (define @t40 () (tptp.aElementOf0 @t37 @t14)) % 16.34/16.58 (define @t41 () (@list @t37)) % 16.34/16.58 (define @t42 () (tptp.aSet0 @t14)) % 16.34/16.58 (define @t43 () (tptp.sdtpldt1 @t1 @t6)) % 16.34/16.58 (define @t44 () (tptp.sdtasasdt0 @t1 @t6)) % 16.34/16.58 (define @t45 () (tptp.sdtasdt0 @t14 @t6)) % 16.34/16.58 (define @t46 () (tptp.aIdeal0 @t1)) % 16.34/16.58 (define @t47 () (and @t46 (tptp.aIdeal0 @t6))) % 16.34/16.58 (define @t48 () (tptp.aElement0 @t37)) % 16.34/16.58 (define @t49 () (@list @t14 @t37)) % 16.34/16.58 (define @t50 () (tptp.aNaturalNumber0 @t1)) % 16.34/16.58 (define @t51 () (not @t28)) % 16.34/16.58 (define @t52 () (tptp.slsdtgt0 @t1)) % 16.34/16.58 (define @t53 () (tptp.aElement0 tptp.xb)) % 16.34/16.58 (define @t54 () (tptp.aElement0 tptp.xa)) % 16.34/16.58 (define @t55 () (not (= tptp.xb tptp.sz00))) % 16.34/16.58 (define @t56 () (not (= tptp.xa tptp.sz00))) % 16.34/16.58 (define @t57 () (or @t56 @t55)) % 16.34/16.58 (define @t58 () (tptp.sdtasdt0 tptp.xc @t1)) % 16.34/16.58 (define @t59 () (tptp.aElement0 tptp.xc)) % 16.34/16.58 (define @t60 () (tptp.slsdtgt0 tptp.xb)) % 16.34/16.58 (define @t61 () (tptp.slsdtgt0 tptp.xa)) % 16.34/16.58 (define @t62 () (tptp.sdtpldt1 @t61 @t60)) % 16.34/16.58 (define @t63 () (tptp.aElementOf0 @t14 @t60)) % 16.34/16.58 (define @t64 () (tptp.aElementOf0 @t6 @t61)) % 16.34/16.58 (define @t65 () (and @t64 @t63 (= @t15 @t1))) % 16.34/16.58 (define @t66 () (@list @t6 @t14)) % 16.34/16.58 (define @t67 () (exists @t66 @t65)) % 16.34/16.58 (define @t68 () (tptp.aElementOf0 @t1 tptp.xI)) % 16.34/16.58 (define @t69 () (tptp.aElementOf0 tptp.xb @t60)) % 16.34/16.58 (define @t70 () (tptp.sdtasdt0 tptp.xb @t1)) % 16.34/16.58 (define @t71 () (tptp.aElementOf0 tptp.sz00 @t60)) % 16.34/16.58 (define @t72 () (tptp.aElementOf0 tptp.xa @t61)) % 16.34/16.58 (define @t73 () (tptp.sdtasdt0 tptp.xa @t1)) % 16.34/16.58 (define @t74 () (tptp.aElementOf0 tptp.sz00 @t61)) % 16.34/16.58 (define @t75 () (tptp.aElementOf0 @t1 @t62)) % 16.34/16.58 (define @t76 () (or @t67 @t75)) % 16.34/16.58 (define @t77 () (tptp.sdtasdt0 tptp.xb @t14)) % 16.34/16.58 (define @t78 () (and @t16 (= @t77 @t6))) % 16.34/16.58 (define @t79 () (exists @t34 @t78)) % 16.34/16.58 (define @t80 () (tptp.aElementOf0 @t6 @t60)) % 16.34/16.58 (define @t81 () (= @t80 @t79)) % 16.34/16.58 (define @t82 () (forall @t31 @t81)) % 16.34/16.58 (define @t83 () (=> @t82 @t76)) % 16.34/16.58 (define @t84 () (tptp.sdtasdt0 tptp.xa @t14)) % 16.34/16.58 (define @t85 () (and @t16 (= @t84 @t6))) % 16.34/16.58 (define @t86 () (exists @t34 @t85)) % 16.34/16.58 (define @t87 () (= @t64 @t86)) % 16.34/16.58 (define @t88 () (forall @t31 @t87)) % 16.34/16.58 (define @t89 () (=> @t88 @t83)) % 16.34/16.58 (define @t90 () (and @t89 @t51)) % 16.34/16.58 (define @t91 () (exists @t3 @t90)) % 16.34/16.58 (define @t92 () (not @t91)) % 16.34/16.58 (define @t93 () (and (= @t1 @t20) @t19)) % 16.34/16.58 (define @t94 () (tptp.sdtpldt0 tptp.xa tptp.sz00)) % 16.34/16.58 (define @t95 () (= tptp.xa @t94)) % 16.34/16.58 (define @t96 () (and @t95 (= tptp.xa (tptp.sdtpldt0 tptp.sz00 tptp.xa)))) % 16.34/16.58 (define @t97 () (not @t54)) % 16.34/16.58 (define @t98 () (or @t97 @t96)) % 16.34/16.58 (define @t99 () (@list false false)) % 16.34/16.58 (define @t100 () (@list false)) % 16.34/16.58 (define @t101 () (not @t75)) % 16.34/16.58 (define @t102 () (@var "BOUND_VARIABLE_8551" $$unsorted)) % 16.34/16.58 (define @t103 () (@var "BOUND_VARIABLE_8549" $$unsorted)) % 16.34/16.58 (define @t104 () (or (not (tptp.aElementOf0 @t103 @t61)) (not (tptp.aElementOf0 @t102 @t60)) (not (= @t1 (tptp.sdtpldt0 @t103 @t102))))) % 16.34/16.58 (define @t105 () (@var "BOUND_VARIABLE_8540" $$unsorted)) % 16.34/16.58 (define @t106 () (not @t16)) % 16.34/16.58 (define @t107 () (tptp.aElementOf0 @t105 @t60)) % 16.34/16.58 (define @t108 () (@var "BOUND_VARIABLE_8531" $$unsorted)) % 16.34/16.58 (define @t109 () (tptp.aElementOf0 @t108 @t61)) % 16.34/16.58 (define @t110 () (@list @t1 @t108 @t105 @t103 @t102)) % 16.34/16.58 (define @t111 () (forall @t110 (or (and (= @t109 (not (forall @t34 (or @t106 (not (= @t84 @t108)))))) (= @t107 (not (forall @t34 (or @t106 (not (= @t77 @t105)))))) @t104 @t101) @t28))) % 16.34/16.58 (define @t112 () (not (= @t105 @t77))) % 16.34/16.58 (define @t113 () (or @t106 @t112)) % 16.34/16.58 (define @t114 () (forall @t34 @t113)) % 16.34/16.58 (define @t115 () (not @t114)) % 16.34/16.58 (define @t116 () (= @t107 @t115)) % 16.34/16.58 (define @t117 () (not (= @t108 @t84))) % 16.34/16.58 (define @t118 () (or @t106 @t117)) % 16.34/16.58 (define @t119 () (forall @t34 @t118)) % 16.34/16.58 (define @t120 () (not @t119)) % 16.34/16.58 (define @t121 () (= @t109 @t120)) % 16.34/16.58 (define @t122 () (and @t121 @t116 @t104 @t101)) % 16.34/16.58 (define @t123 () (or @t122 @t28)) % 16.34/16.58 (define @t124 () (forall @t110 @t123)) % 16.34/16.58 (define @t125 () (@list @t108 @t105 @t103 @t102)) % 16.34/16.58 (define @t126 () (forall @t125 @t123)) % 16.34/16.58 (define @t127 () (forall @t125 @t101)) % 16.34/16.58 (define @t128 () (forall (@list @t103 @t102) @t104)) % 16.34/16.58 (define @t129 () (forall @t125 @t104)) % 16.34/16.58 (define @t130 () (forall (@list @t105) @t116)) % 16.34/16.58 (define @t131 () (@list @t6)) % 16.34/16.58 (define @t132 () (forall @t125 @t116)) % 16.34/16.58 (define @t133 () (forall (@list @t108) @t121)) % 16.34/16.58 (define @t134 () (forall @t125 @t121)) % 16.34/16.58 (define @t135 () (and @t134 @t132 @t129 @t127)) % 16.34/16.58 (define @t136 () (forall @t125 @t122)) % 16.34/16.58 (define @t137 () (or @t136 @t28)) % 16.34/16.58 (define @t138 () (= @t1 @t15)) % 16.34/16.58 (define @t139 () (not @t138)) % 16.34/16.58 (define @t140 () (not @t63)) % 16.34/16.58 (define @t141 () (not @t64)) % 16.34/16.58 (define @t142 () (or @t141 @t140 @t139)) % 16.34/16.58 (define @t143 () (forall @t66 @t142)) % 16.34/16.58 (define @t144 () (= @t6 @t77)) % 16.34/16.58 (define @t145 () (forall @t31 (= @t80 (not (forall @t34 (or @t106 (not @t144))))))) % 16.34/16.58 (define @t146 () (= @t6 @t84)) % 16.34/16.58 (define @t147 () (forall @t31 (= @t64 (not (forall @t34 (or @t106 (not @t146))))))) % 16.34/16.58 (define @t148 () (and @t147 @t145 @t143 @t101)) % 16.34/16.58 (define @t149 () (and @t145 @t143 @t101)) % 16.34/16.58 (define @t150 () (not @t143)) % 16.34/16.58 (define @t151 () (or @t150 @t75)) % 16.34/16.58 (define @t152 () (=> @t145 @t151)) % 16.34/16.58 (define @t153 () (=> @t147 @t152)) % 16.34/16.58 (define @t154 () (not @t153)) % 16.34/16.58 (define @t155 () (and @t153 @t51)) % 16.34/16.58 (define @t156 () (forall @t3 (not @t155))) % 16.34/16.58 (define @t157 () (not @t156)) % 16.34/16.58 (define @t158 () (and @t64 @t63 @t138)) % 16.34/16.58 (define @t159 () (forall @t66 (not @t158))) % 16.34/16.58 (define @t160 () (not @t159)) % 16.34/16.58 (define @t161 () (and @t16 @t144)) % 16.34/16.58 (define @t162 () (forall @t34 (not @t161))) % 16.34/16.58 (define @t163 () (not @t162)) % 16.34/16.58 (define @t164 () (and @t16 @t146)) % 16.34/16.58 (define @t165 () (forall @t34 (not @t164))) % 16.34/16.58 (define @t166 () (not @t165)) % 16.34/16.58 (define @t167 () (not (tptp.aElementOf0 @t94 @t62))) % 16.34/16.58 (define @t168 () (not @t71)) % 16.34/16.58 (define @t169 () (not @t72)) % 16.34/16.58 (define @t170 () (or @t169 @t168)) % 16.34/16.58 (define @t171 () (not (= @t94 @t94))) % 16.34/16.58 (define @t172 () (or @t169 @t168 @t171)) % 16.34/16.58 (define @t173 () (not (= @t77 tptp.sz00))) % 16.34/16.58 (define @t174 () (or @t106 @t173)) % 16.34/16.58 (define @t175 () (forall @t34 @t174)) % 16.34/16.58 (define @t176 () (not @t175)) % 16.34/16.58 (define @t177 () (= @t71 @t176)) % 16.34/16.58 (define @t178 () (not (= @t84 tptp.sz00))) % 16.34/16.58 (define @t179 () (or @t106 @t178)) % 16.34/16.58 (define @t180 () (forall @t34 @t179)) % 16.34/16.58 (define @t181 () (not @t180)) % 16.34/16.58 (define @t182 () (= @t74 @t181)) % 16.34/16.58 (define @t183 () (and @t182 @t177 @t172 @t167)) % 16.34/16.58 (define @t184 () (or @t183 (= @t94 tptp.sz00))) % 16.34/16.58 (define @t185 () (= tptp.sz00 @t94)) % 16.34/16.58 (define @t186 () (= @t71 (not (forall @t34 (or @t106 (not (= tptp.sz00 @t77))))))) % 16.34/16.58 (define @t187 () (= @t74 (not (forall @t34 (or @t106 (not (= tptp.sz00 @t84))))))) % 16.34/16.58 (define @t188 () (and @t187 @t186 @t170 @t167)) % 16.34/16.58 (define @t189 () (or @t188 @t185)) % 16.34/16.58 (define @t190 () (@list @t111)) % 16.34/16.58 (define @t191 () (not @t170)) % 16.34/16.58 (define @t192 () (not @t188)) % 16.34/16.58 (define @t193 () (@list true)) % 16.34/16.58 (define @t194 () (tptp.sdtpldt0 tptp.sz00 tptp.xb)) % 16.34/16.58 (define @t195 () (tptp.sdtpldt0 tptp.xb tptp.sz00)) % 16.34/16.58 (define @t196 () (= tptp.xb @t195)) % 16.34/16.58 (define @t197 () (and @t196 (= tptp.xb @t194))) % 16.34/16.58 (define @t198 () (not @t53)) % 16.34/16.58 (define @t199 () (or @t198 @t197)) % 16.34/16.58 (define @t200 () (not @t8)) % 16.34/16.58 (define @t201 () (not @t2)) % 16.34/16.58 (define @t202 () (= @t194 @t195)) % 16.34/16.58 (define @t203 () (not @t4)) % 16.34/16.58 (define @t204 () (or @t203 @t198 @t202)) % 16.34/16.58 (define @t205 () (= tptp.sz00 @t194)) % 16.34/16.58 (define @t206 () (not (tptp.aElementOf0 @t194 @t62))) % 16.34/16.58 (define @t207 () (not @t69)) % 16.34/16.58 (define @t208 () (not @t74)) % 16.34/16.58 (define @t209 () (or @t208 @t207)) % 16.34/16.58 (define @t210 () (not (= @t194 @t194))) % 16.34/16.58 (define @t211 () (or @t208 @t207 @t210)) % 16.34/16.58 (define @t212 () (and @t182 @t177 @t211 @t206)) % 16.34/16.58 (define @t213 () (or @t212 (= @t194 tptp.sz00))) % 16.34/16.58 (define @t214 () (and @t187 @t186 @t209 @t206)) % 16.34/16.58 (define @t215 () (or @t214 @t205)) % 16.34/16.58 (define @t216 () (not @t209)) % 16.34/16.58 (define @t217 () (not @t214)) % 16.34/16.58 (assume @p1 (forall @t3 (=> @t2 true))) % 16.34/16.58 (assume @p2 @t4) % 16.34/16.58 (assume @p3 (tptp.aElement0 tptp.sz10)) % 16.34/16.58 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t5)))) % 16.34/16.58 (assume @p5 (forall @t10 (=> @t9 (tptp.aElement0 @t7)))) % 16.34/16.58 (assume @p6 (forall @t10 (=> @t9 (tptp.aElement0 @t11)))) % 16.34/16.58 (assume @p7 @t13) % 16.34/16.58 (assume @p8 (forall @t18 (=> @t17 (= (tptp.sdtpldt0 @t7 @t14) (tptp.sdtpldt0 @t1 @t15))))) % 16.34/16.58 (assume @p9 @t23) % 16.34/16.58 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t5) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1)))))) % 16.34/16.58 (assume @p11 (forall @t10 (=> @t9 (= @t11 @t24)))) % 16.34/16.58 (assume @p12 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t11 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t14)))))) % 16.34/16.58 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 16.34/16.58 (assume @p14 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t11 @t25)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t24 (tptp.sdtasdt0 @t14 @t1))))))) % 16.34/16.58 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t26 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t26)))))) % 16.34/16.58 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 16.34/16.58 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or @t28 @t27))))) % 16.34/16.58 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 16.34/16.58 (assume @p19 (forall @t3 (=> @t29 true))) % 16.34/16.58 (assume @p20 (forall @t3 (=> @t29 (forall @t31 (=> @t30 @t8))))) % 16.34/16.58 (assume @p21 (forall @t10 (=> @t36 (=> (and (forall @t34 (=> @t32 @t33)) (forall @t34 (=> @t33 @t32))) (= @t1 @t6))))) % 16.34/16.58 (assume @p22 (forall @t10 (=> @t36 (forall @t34 (= (= @t14 @t43) (and @t42 (forall @t41 (= @t40 (exists (@list @t39 @t38) (and (tptp.aElementOf0 @t39 @t1) (tptp.aElementOf0 @t38 @t6) (= (tptp.sdtpldt0 @t39 @t38) @t37))))))))))) % 16.34/16.58 (assume @p23 (forall @t10 (=> @t36 (forall @t34 (= (= @t14 @t44) (and @t42 (forall @t41 (= @t40 (and (tptp.aElementOf0 @t37 @t1) (tptp.aElementOf0 @t37 @t6)))))))))) % 16.34/16.58 (assume @p24 (forall @t3 (= @t46 (and @t29 (forall @t31 (=> @t30 (and (forall @t34 (=> @t32 (tptp.aElementOf0 @t15 @t1))) (forall @t34 (=> @t16 (tptp.aElementOf0 @t45 @t1)))))))))) % 16.34/16.58 (assume @p25 (forall @t10 (=> @t47 (tptp.aIdeal0 @t43)))) % 16.34/16.58 (assume @p26 (forall @t10 (=> @t47 (tptp.aIdeal0 @t44)))) % 16.34/16.58 (assume @p27 (forall @t18 (=> (and @t2 @t8 (tptp.aIdeal0 @t14)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 @t14) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t6)) @t14))))) % 16.34/16.58 (assume @p28 (forall @t10 (=> @t47 (=> (forall @t34 (=> @t16 (tptp.aElementOf0 @t14 @t43))) (forall @t49 (=> (and @t16 @t48) (exists (@list @t39) (and (tptp.aElement0 @t39) (tptp.sdteqdtlpzmzozddtrp0 @t39 @t14 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t39 @t37 @t6))))))))) % 16.34/16.58 (assume @p29 (forall @t3 (=> @t50 true))) % 16.34/16.58 (assume @p30 (forall @t3 (=> (and @t2 @t51) (tptp.aNaturalNumber0 (tptp.sbrdtbr0 @t1))))) % 16.34/16.58 (assume @p31 (forall @t10 (=> (and @t50 (tptp.aNaturalNumber0 @t6)) (=> (tptp.iLess0 @t1 @t6) true)))) % 16.34/16.58 (assume @p32 (forall @t10 (=> (and @t2 @t8 (not @t27)) (exists @t49 (and @t16 @t48 (= @t1 (tptp.sdtpldt0 @t45 @t37)) (=> (not (= @t37 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t37) (tptp.sbrdtbr0 @t6)))))))) % 16.34/16.58 (assume @p33 (forall @t10 (=> @t9 (= (tptp.doDivides0 @t1 @t6) (exists @t34 (and @t16 (= @t25 @t6))))))) % 16.34/16.58 (assume @p34 (forall @t3 (=> @t2 (forall @t31 (= (tptp.aDivisorOf0 @t6 @t1) (and @t8 (tptp.doDivides0 @t6 @t1))))))) % 16.34/16.58 (assume @p35 (forall @t10 (=> @t9 (forall @t34 (= (tptp.aGcdOfAnd0 @t14 @t1 @t6) (and (tptp.aDivisorOf0 @t14 @t1) (tptp.aDivisorOf0 @t14 @t6) (forall @t41 (=> (and (tptp.aDivisorOf0 @t37 @t1) (tptp.aDivisorOf0 @t37 @t6)) (tptp.doDivides0 @t37 @t14))))))))) % 16.34/16.58 (assume @p36 (forall @t10 (=> @t9 (= (tptp.misRelativelyPrime0 @t1 @t6) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t6))))) % 16.34/16.58 (assume @p37 (forall @t3 (=> @t2 (forall @t31 (= (= @t6 @t52) (and @t35 (forall @t34 (= @t33 (exists @t41 (and @t48 (= (tptp.sdtasdt0 @t1 @t37) @t14))))))))))) % 16.34/16.58 (assume @p38 (forall @t3 (=> @t2 (tptp.aIdeal0 @t52)))) % 16.34/16.58 (assume @p39 (and @t54 @t53)) % 16.34/16.58 (assume @p40 @t57) % 16.34/16.58 (assume @p41 (and @t59 (exists @t3 (and @t2 (= @t58 tptp.xa))) (tptp.doDivides0 tptp.xc tptp.xa) (tptp.aDivisorOf0 tptp.xc tptp.xa) @t59 (exists @t3 (and @t2 (= @t58 tptp.xb))) (tptp.doDivides0 tptp.xc tptp.xb) (tptp.aDivisorOf0 tptp.xc tptp.xb) (forall @t3 (=> (and (or (and @t2 (or (exists @t31 (and @t8 (= @t11 tptp.xa))) (tptp.doDivides0 @t1 tptp.xa))) (tptp.aDivisorOf0 @t1 tptp.xa)) (or (exists @t31 (and @t8 (= @t11 tptp.xb))) (tptp.doDivides0 @t1 tptp.xb) (tptp.aDivisorOf0 @t1 tptp.xb))) (and (exists @t31 (and @t8 (= @t11 tptp.xc))) (tptp.doDivides0 @t1 tptp.xc)))) (tptp.aGcdOfAnd0 tptp.xc tptp.xa tptp.xb))) % 16.34/16.58 (assume @p42 (and (tptp.aSet0 tptp.xI) (forall @t3 (=> @t68 (and (forall @t31 (=> (tptp.aElementOf0 @t6 tptp.xI) (tptp.aElementOf0 @t7 tptp.xI))) (forall @t31 (=> @t8 (tptp.aElementOf0 @t24 tptp.xI)))))) (tptp.aIdeal0 tptp.xI) (forall @t3 (= (tptp.aElementOf0 @t1 @t61) (exists @t31 (and @t8 (= (tptp.sdtasdt0 tptp.xa @t6) @t1))))) (forall @t3 (= (tptp.aElementOf0 @t1 @t60) (exists @t31 (and @t8 (= (tptp.sdtasdt0 tptp.xb @t6) @t1))))) (forall @t3 (= @t68 @t67)) (= tptp.xI @t62))) % 16.34/16.58 (assume @p43 (and (exists @t3 (and @t2 (= @t73 tptp.sz00))) @t74 (exists @t3 (and @t2 (= @t73 tptp.xa))) @t72 (exists @t3 (and @t2 (= @t70 tptp.sz00))) @t71 (exists @t3 (and @t2 (= @t70 tptp.xb))) @t69)) % 16.34/16.58 (assume @p44 @t92) % 16.34/16.58 (assume @p45 true) % 16.34/16.58 (step @p46 :rule bool-impl-elim :args (@t2 @t93)) % 16.34/16.58 (step @p47 :rule cong :premises (@p46) :args ((forall @t3 (=> @t2 @t93)))) % 16.34/16.58 (step @p48 :rule refl :args (@t19)) % 16.34/16.58 (step @p49 :rule eq-symm :args (@t20 @t1)) % 16.34/16.58 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t21)) % 16.34/16.58 (step @p51 :rule refl :args (@t2)) % 16.34/16.58 (step @p52 :rule cong :premises (@p51 @p50) :args (@t22)) % 16.34/16.58 (step @p53 :rule cong :premises (@p52) :args (@t23)) % 16.34/16.58 (step @p54 :rule trans :premises (@p53 @p47)) % 16.34/16.58 (step @p55 :rule eq_resolve :premises (@p9 @p54)) % 16.34/16.58 (step @p56 :rule instantiate :premises (@p55) :args ((@list tptp.xa))) % 16.34/16.58 (step @p57 :rule and_elim :premises (@p39) :args (0)) % 16.34/16.58 (step @p58 :rule cnf_or_pos :args (@t98)) % 16.34/16.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t97 @t96 (not @t98)))) % 16.34/16.58 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56) :args (@t96 @t99 (@list @t54 @t98))) % 16.34/16.58 (step @p61 :rule cnf_and_pos :args (@t96 0)) % 16.34/16.58 (step @p62 :rule reordering :premises (@p61) :args ((or @t95 (not @t96)))) % 16.34/16.58 (step @p63 :rule chain_m_resolution :premises (@p62 @p60) :args (@t95 @t100 (@list @t96))) % 16.34/16.58 (step @p64 :rule symm :premises (@p63)) % 16.34/16.58 (step @p65 :rule bool-double-not-elim :args (@t111)) % 16.34/16.58 (step @p66 :rule refl :args (@t28)) % 16.34/16.58 (step @p67 :rule refl :args (@t101)) % 16.34/16.58 (step @p68 :rule refl :args (@t104)) % 16.34/16.58 (step @p69 :rule eq-symm :args (@t105 @t77)) % 16.34/16.58 (step @p70 :rule cong :premises (@p69) :args (@t112)) % 16.34/16.58 (step @p71 :rule refl :args (@t106)) % 16.34/16.58 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t113)) % 16.34/16.58 (step @p73 :rule cong :premises (@p72) :args (@t114)) % 16.34/16.58 (step @p74 :rule cong :premises (@p73) :args (@t115)) % 16.34/16.58 (step @p75 :rule refl :args (@t107)) % 16.34/16.58 (step @p76 :rule cong :premises (@p75 @p74) :args (@t116)) % 16.34/16.58 (step @p77 :rule eq-symm :args (@t108 @t84)) % 16.34/16.58 (step @p78 :rule cong :premises (@p77) :args (@t117)) % 16.34/16.58 (step @p79 :rule nary_cong :premises (@p71 @p78) :args (@t118)) % 16.34/16.58 (step @p80 :rule cong :premises (@p79) :args (@t119)) % 16.34/16.58 (step @p81 :rule cong :premises (@p80) :args (@t120)) % 16.34/16.58 (step @p82 :rule refl :args (@t109)) % 16.34/16.58 (step @p83 :rule cong :premises (@p82 @p81) :args (@t121)) % 16.34/16.58 (step @p84 :rule nary_cong :premises (@p83 @p76 @p68 @p67) :args (@t122)) % 16.34/16.58 (step @p85 :rule nary_cong :premises (@p84 @p66) :args (@t123)) % 16.34/16.58 (step @p86 :rule cong :premises (@p85) :args (@t124)) % 16.34/16.58 (step @p87 :rule quant-merge-prenex :args ((= (forall @t3 @t126) @t124))) % 16.34/16.58 (step @p88 :rule refl :args (@t28)) % 16.34/16.58 (step @p89 :rule quant-unused-vars :args ((= @t127 @t101))) % 16.34/16.58 (step @p90 :rule alpha_equiv :args (@t128 (@list @t103 @t102) (@list @t6 @t14))) % 16.34/16.58 (step @p91 :rule quant-unused-vars :args ((= @t129 @t128))) % 16.34/16.58 (step @p92 :rule trans :premises (@p91 @p90)) % 16.34/16.58 (step @p93 :rule alpha_equiv :args (@t130 (@list @t105) @t131)) % 16.34/16.58 (step @p94 :rule quant-unused-vars :args ((= @t132 @t130))) % 16.34/16.58 (step @p95 :rule trans :premises (@p94 @p93)) % 16.34/16.58 (step @p96 :rule alpha_equiv :args (@t133 (@list @t108) @t131)) % 16.34/16.58 (step @p97 :rule quant-unused-vars :args ((= @t134 @t133))) % 16.34/16.58 (step @p98 :rule trans :premises (@p97 @p96)) % 16.34/16.58 (step @p99 :rule nary_cong :premises (@p98 @p95 @p92 @p89) :args (@t135)) % 16.34/16.58 (step @p100 :rule quant-miniscope-and :args ((= @t136 @t135))) % 16.34/16.58 (step @p101 :rule trans :premises (@p100 @p99)) % 16.34/16.58 (step @p102 :rule nary_cong :premises (@p101 @p88) :args (@t137)) % 16.34/16.58 (step @p103 :rule quant-miniscope-or :args ((= @t126 @t137))) % 16.34/16.58 (step @p104 :rule trans :premises (@p103 @p102)) % 16.34/16.58 (step @p105 :rule symm :premises (@p104)) % 16.34/16.58 (step @p106 :rule cong :premises (@p105) :args ((forall @t3 (or @t148 @t28)))) % 16.34/16.58 (step @p107 :rule trans :premises (@p106 @p87)) % 16.34/16.58 (step @p108 :rule trans :premises (@p107 @p86)) % 16.34/16.58 (step @p109 :rule aci_norm :args ((= (and @t147 @t149) @t148))) % 16.34/16.58 (step @p110 :rule aci_norm :args ((= (and @t145 (and @t143 @t101)) @t149))) % 16.34/16.58 (step @p111 :rule refl :args (@t101)) % 16.34/16.58 (step @p112 :rule bool-double-not-elim :args (@t143)) % 16.34/16.58 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((and (not @t150) @t101))) % 16.34/16.58 (step @p114 :rule bool-or-de-morgan :args (@t150 @t75 false)) % 16.34/16.58 (step @p115 :rule trans :premises (@p114 @p113)) % 16.34/16.58 (step @p116 :rule refl :args (@t145)) % 16.34/16.58 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((and @t145 (not @t151)))) % 16.34/16.58 (step @p118 :rule trans :premises (@p117 @p110)) % 16.34/16.58 (step @p119 :rule bool-implies-de-morgan :args (@t145 @t151)) % 16.34/16.58 (step @p120 :rule trans :premises (@p119 @p118)) % 16.34/16.58 (step @p121 :rule refl :args (@t147)) % 16.34/16.58 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((and @t147 (not @t152)))) % 16.34/16.58 (step @p123 :rule trans :premises (@p122 @p109)) % 16.34/16.58 (step @p124 :rule bool-implies-de-morgan :args (@t147 @t152)) % 16.34/16.58 (step @p125 :rule trans :premises (@p124 @p123)) % 16.34/16.58 (step @p126 :rule nary_cong :premises (@p125 @p88) :args ((or @t154 @t28))) % 16.34/16.58 (step @p127 :rule bool-double-not-elim :args (@t28)) % 16.34/16.58 (step @p128 :rule refl :args (@t154)) % 16.34/16.58 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t154 (not @t51)))) % 16.34/16.58 (step @p130 :rule bool-and-de-morgan :args (@t153 @t51 true)) % 16.34/16.58 (step @p131 :rule trans :premises (@p130 @p129)) % 16.34/16.58 (step @p132 :rule trans :premises (@p131 @p126)) % 16.34/16.58 (step @p133 :rule cong :premises (@p132) :args (@t156)) % 16.34/16.58 (step @p134 :rule trans :premises (@p133 @p108)) % 16.34/16.58 (step @p135 :rule cong :premises (@p134) :args (@t157)) % 16.34/16.58 (step @p136 :rule exists-elim :args ((= (exists @t3 @t155) @t157))) % 16.34/16.58 (step @p137 :rule trans :premises (@p136 @p135)) % 16.34/16.58 (step @p138 :rule refl :args (@t51)) % 16.34/16.58 (step @p139 :rule refl :args (@t75)) % 16.34/16.58 (step @p140 :rule aci_norm :args ((= (or @t141 (or @t140 @t139)) @t142))) % 16.34/16.58 (step @p141 :rule bool-and-de-morgan :args (@t63 @t138 true)) % 16.34/16.58 (step @p142 :rule refl :args (@t141)) % 16.34/16.58 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t141 (not (and @t63 @t138))))) % 16.34/16.58 (step @p144 :rule bool-and-de-morgan :args (@t64 @t63 (and @t138))) % 16.34/16.58 (step @p145 :rule trans :premises (@p144 @p143)) % 16.34/16.58 (step @p146 :rule trans :premises (@p145 @p140)) % 16.34/16.58 (step @p147 :rule cong :premises (@p146) :args (@t159)) % 16.34/16.58 (step @p148 :rule cong :premises (@p147) :args (@t160)) % 16.34/16.58 (step @p149 :rule exists-elim :args ((= (exists @t66 @t158) @t160))) % 16.34/16.58 (step @p150 :rule trans :premises (@p149 @p148)) % 16.34/16.58 (step @p151 :rule eq-symm :args (@t15 @t1)) % 16.34/16.58 (step @p152 :rule refl :args (@t63)) % 16.34/16.58 (step @p153 :rule refl :args (@t64)) % 16.34/16.58 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151) :args (@t65)) % 16.34/16.58 (step @p155 :rule cong :premises (@p154) :args (@t67)) % 16.34/16.58 (step @p156 :rule trans :premises (@p155 @p150)) % 16.34/16.58 (step @p157 :rule nary_cong :premises (@p156 @p139) :args (@t76)) % 16.34/16.58 (step @p158 :rule bool-and-de-morgan :args (@t16 @t144 true)) % 16.34/16.58 (step @p159 :rule cong :premises (@p158) :args (@t162)) % 16.34/16.58 (step @p160 :rule cong :premises (@p159) :args (@t163)) % 16.34/16.58 (step @p161 :rule exists-elim :args ((= (exists @t34 @t161) @t163))) % 16.34/16.58 (step @p162 :rule trans :premises (@p161 @p160)) % 16.34/16.58 (step @p163 :rule eq-symm :args (@t77 @t6)) % 16.34/16.58 (step @p164 :rule refl :args (@t16)) % 16.34/16.58 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t78)) % 16.34/16.58 (step @p166 :rule cong :premises (@p165) :args (@t79)) % 16.34/16.58 (step @p167 :rule trans :premises (@p166 @p162)) % 16.34/16.58 (step @p168 :rule refl :args (@t80)) % 16.34/16.58 (step @p169 :rule cong :premises (@p168 @p167) :args (@t81)) % 16.34/16.58 (step @p170 :rule cong :premises (@p169) :args (@t82)) % 16.34/16.58 (step @p171 :rule cong :premises (@p170 @p157) :args (@t83)) % 16.34/16.58 (step @p172 :rule bool-and-de-morgan :args (@t16 @t146 true)) % 16.34/16.58 (step @p173 :rule cong :premises (@p172) :args (@t165)) % 16.34/16.58 (step @p174 :rule cong :premises (@p173) :args (@t166)) % 16.34/16.58 (step @p175 :rule exists-elim :args ((= (exists @t34 @t164) @t166))) % 16.34/16.58 (step @p176 :rule trans :premises (@p175 @p174)) % 16.34/16.58 (step @p177 :rule eq-symm :args (@t84 @t6)) % 16.34/16.58 (step @p178 :rule nary_cong :premises (@p164 @p177) :args (@t85)) % 16.34/16.58 (step @p179 :rule cong :premises (@p178) :args (@t86)) % 16.34/16.58 (step @p180 :rule trans :premises (@p179 @p176)) % 16.34/16.58 (step @p181 :rule cong :premises (@p153 @p180) :args (@t87)) % 16.34/16.58 (step @p182 :rule cong :premises (@p181) :args (@t88)) % 16.34/16.58 (step @p183 :rule cong :premises (@p182 @p171) :args (@t89)) % 16.34/16.58 (step @p184 :rule nary_cong :premises (@p183 @p138) :args (@t90)) % 16.34/16.58 (step @p185 :rule cong :premises (@p184) :args (@t91)) % 16.34/16.58 (step @p186 :rule trans :premises (@p185 @p137)) % 16.34/16.58 (step @p187 :rule cong :premises (@p186) :args (@t92)) % 16.34/16.58 (step @p188 :rule trans :premises (@p187 @p65)) % 16.34/16.58 (step @p189 :rule eq_resolve :premises (@p44 @p188)) % 16.34/16.58 (step @p190 :rule eq-symm :args (@t94 tptp.sz00)) % 16.34/16.58 (step @p191 :rule refl :args (@t167)) % 16.34/16.58 (step @p192 :rule aci_norm :args ((= (or @t169 @t168 false) @t170))) % 16.34/16.58 (step @p193 :rule evaluate :args ((not true))) % 16.34/16.58 (step @p194 :rule eq-refl :args (@t94)) % 16.34/16.58 (step @p195 :rule cong :premises (@p194) :args (@t171)) % 16.34/16.58 (step @p196 :rule trans :premises (@p195 @p193)) % 16.34/16.58 (step @p197 :rule refl :args (@t168)) % 16.34/16.58 (step @p198 :rule refl :args (@t169)) % 16.34/16.58 (step @p199 :rule nary_cong :premises (@p198 @p197 @p196) :args (@t172)) % 16.34/16.58 (step @p200 :rule trans :premises (@p199 @p192)) % 16.34/16.58 (step @p201 :rule eq-symm :args (@t77 tptp.sz00)) % 16.34/16.58 (step @p202 :rule cong :premises (@p201) :args (@t173)) % 16.34/16.58 (step @p203 :rule nary_cong :premises (@p71 @p202) :args (@t174)) % 16.34/16.58 (step @p204 :rule cong :premises (@p203) :args (@t175)) % 16.34/16.58 (step @p205 :rule cong :premises (@p204) :args (@t176)) % 16.34/16.58 (step @p206 :rule refl :args (@t71)) % 16.34/16.58 (step @p207 :rule cong :premises (@p206 @p205) :args (@t177)) % 16.34/16.58 (step @p208 :rule eq-symm :args (@t84 tptp.sz00)) % 16.34/16.58 (step @p209 :rule cong :premises (@p208) :args (@t178)) % 16.34/16.58 (step @p210 :rule nary_cong :premises (@p71 @p209) :args (@t179)) % 16.34/16.58 (step @p211 :rule cong :premises (@p210) :args (@t180)) % 16.34/16.58 (step @p212 :rule cong :premises (@p211) :args (@t181)) % 16.34/16.58 (step @p213 :rule refl :args (@t74)) % 16.34/16.58 (step @p214 :rule cong :premises (@p213 @p212) :args (@t182)) % 16.34/16.58 (step @p215 :rule nary_cong :premises (@p214 @p207 @p200 @p191) :args (@t183)) % 16.34/16.58 (step @p216 :rule nary_cong :premises (@p215 @p190) :args (@t184)) % 16.34/16.58 (step @p217 :rule refl :args (@t111)) % 16.34/16.58 (step @p218 :rule cong :premises (@p217 @p216) :args ((=> @t111 @t184))) % 16.34/16.58 (assume-push @p304 @t111) % 16.34/16.58 (step @p220 :rule instantiate :premises (@p189) :args ((@list @t94 tptp.sz00 tptp.sz00 tptp.xa tptp.sz00))) % 16.34/16.58 (step-pop @p305 :rule scope :premises (@p220)) % 16.34/16.58 (step @p221 :rule process_scope :premises (@p305) :args (@t184)) % 16.34/16.58 (step @p223 :rule eq_resolve :premises (@p221 @p218)) % 16.34/16.58 (step @p224 :rule implies_elim :premises (@p223)) % 16.34/16.58 (step @p225 :rule chain_m_resolution :premises (@p224 @p189) :args (@t189 @t100 @t190)) % 16.34/16.58 (step @p226 :rule and_elim :premises (@p43) :args (5)) % 16.34/16.58 (step @p227 :rule and_elim :premises (@p43) :args (3)) % 16.34/16.58 (step @p228 :rule cnf_or_pos :args (@t170)) % 16.34/16.58 (step @p229 :rule reordering :premises (@p228) :args ((or @t169 @t168 @t191))) % 16.34/16.58 (step @p230 :rule chain_m_resolution :premises (@p229 @p227 @p226) :args (@t191 @t99 (@list @t72 @t71))) % 16.34/16.58 (step @p231 :rule cnf_and_pos :args (@t188 2)) % 16.34/16.58 (step @p232 :rule reordering :premises (@p231) :args ((or @t170 @t192))) % 16.34/16.58 (step @p233 :rule chain_m_resolution :premises (@p232 @p230) :args (@t192 @t193 (@list @t170))) % 16.34/16.58 (step @p234 :rule cnf_or_pos :args (@t189)) % 16.34/16.58 (step @p235 :rule reordering :premises (@p234) :args ((or @t188 @t185 (not @t189)))) % 16.34/16.58 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p225) :args (@t185 (@list true false) (@list @t188 @t189))) % 16.34/16.58 (step @p237 :rule trans :premises (@p236 @p64)) % 16.34/16.58 (step @p238 :rule eq-symm :args (tptp.xb tptp.sz00)) % 16.34/16.58 (step @p239 :rule cong :premises (@p238) :args (@t55)) % 16.34/16.58 (step @p240 :rule eq-symm :args (tptp.xa tptp.sz00)) % 16.34/16.58 (step @p241 :rule cong :premises (@p240) :args (@t56)) % 16.34/16.58 (step @p242 :rule nary_cong :premises (@p241 @p239) :args (@t57)) % 16.34/16.58 (step @p243 :rule eq_resolve :premises (@p40 @p242)) % 16.34/16.58 (step @p244 :rule chain_m_resolution :premises (@p243 @p237) :args ((not (= tptp.sz00 tptp.xb)) @t100 (@list (= tptp.sz00 tptp.xa)))) % 16.34/16.58 (step @p245 :rule false_intro :premises (@p244)) % 16.34/16.58 (step @p246 :rule instantiate :premises (@p55) :args ((@list tptp.xb))) % 16.34/16.58 (step @p247 :rule and_elim :premises (@p39) :args (1)) % 16.34/16.58 (step @p248 :rule cnf_or_pos :args (@t199)) % 16.34/16.58 (step @p249 :rule reordering :premises (@p248) :args ((or @t198 @t197 (not @t199)))) % 16.34/16.58 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p246) :args (@t197 @t99 (@list @t53 @t199))) % 16.34/16.58 (step @p251 :rule cnf_and_pos :args (@t197 0)) % 16.34/16.58 (step @p252 :rule reordering :premises (@p251) :args ((or @t196 (not @t197)))) % 16.34/16.58 (step @p253 :rule chain_m_resolution :premises (@p252 @p250) :args (@t196 @t100 (@list @t197))) % 16.34/16.58 (step @p254 :rule symm :premises (@p253)) % 16.34/16.58 (step @p255 :rule aci_norm :args ((= (or (or @t201 @t200) @t12) (or @t201 @t200 @t12)))) % 16.34/16.58 (step @p256 :rule refl :args (@t12)) % 16.34/16.58 (step @p257 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 16.34/16.58 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or (not @t9) @t12))) % 16.34/16.58 (step @p259 :rule trans :premises (@p258 @p255)) % 16.34/16.58 (step @p260 :rule bool-impl-elim :args (@t9 @t12)) % 16.34/16.58 (step @p261 :rule trans :premises (@p260 @p259)) % 16.34/16.58 (step @p262 :rule cong :premises (@p261) :args (@t13)) % 16.34/16.58 (step @p263 :rule eq_resolve :premises (@p7 @p262)) % 16.34/16.58 (step @p264 :rule instantiate :premises (@p263) :args ((@list tptp.sz00 tptp.xb))) % 16.34/16.58 (step @p265 :rule cnf_or_pos :args (@t204)) % 16.34/16.58 (step @p266 :rule reordering :premises (@p265) :args ((or @t203 @t198 @t202 (not @t204)))) % 16.34/16.58 (step @p267 :rule chain_m_resolution :premises (@p266 @p2 @p247 @p264) :args (@t202 (@list false false false) (@list @t4 @t53 @t204))) % 16.34/16.58 (step @p268 :rule trans :premises (@p267 @p254)) % 16.34/16.58 (step @p269 :rule refl :args (tptp.sz00)) % 16.34/16.58 (step @p270 :rule cong :premises (@p269 @p268) :args (@t205)) % 16.34/16.58 (step @p271 :rule trans :premises (@p270 @p245)) % 16.34/16.58 (step @p272 :rule false_elim :premises (@p271)) % 16.34/16.58 (step @p273 :rule eq-symm :args (@t194 tptp.sz00)) % 16.34/16.58 (step @p274 :rule refl :args (@t206)) % 16.34/16.58 (step @p275 :rule aci_norm :args ((= (or @t208 @t207 false) @t209))) % 16.34/16.58 (step @p276 :rule eq-refl :args (@t194)) % 16.34/16.58 (step @p277 :rule cong :premises (@p276) :args (@t210)) % 16.34/16.58 (step @p278 :rule trans :premises (@p277 @p193)) % 16.34/16.58 (step @p279 :rule refl :args (@t207)) % 16.34/16.58 (step @p280 :rule refl :args (@t208)) % 16.34/16.58 (step @p281 :rule nary_cong :premises (@p280 @p279 @p278) :args (@t211)) % 16.34/16.58 (step @p282 :rule trans :premises (@p281 @p275)) % 16.34/16.58 (step @p283 :rule nary_cong :premises (@p214 @p207 @p282 @p274) :args (@t212)) % 16.34/16.58 (step @p284 :rule nary_cong :premises (@p283 @p273) :args (@t213)) % 16.34/16.58 (step @p285 :rule cong :premises (@p217 @p284) :args ((=> @t111 @t213))) % 16.34/16.58 (assume-push @p306 @t111) % 16.34/16.58 (step @p287 :rule instantiate :premises (@p189) :args ((@list @t194 tptp.sz00 tptp.sz00 tptp.sz00 tptp.xb))) % 16.34/16.58 (step-pop @p307 :rule scope :premises (@p287)) % 16.34/16.58 (step @p288 :rule process_scope :premises (@p307) :args (@t213)) % 16.34/16.58 (step @p290 :rule eq_resolve :premises (@p288 @p285)) % 16.34/16.58 (step @p291 :rule implies_elim :premises (@p290)) % 16.34/16.58 (step @p292 :rule chain_m_resolution :premises (@p291 @p189) :args (@t215 @t100 @t190)) % 16.34/16.58 (step @p293 :rule and_elim :premises (@p43) :args (7)) % 16.34/16.58 (step @p294 :rule and_elim :premises (@p43) :args (1)) % 16.34/16.58 (step @p295 :rule cnf_or_pos :args (@t209)) % 16.34/16.58 (step @p296 :rule reordering :premises (@p295) :args ((or @t208 @t207 @t216))) % 16.34/16.58 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p293) :args (@t216 @t99 (@list @t74 @t69))) % 16.34/16.58 (step @p298 :rule cnf_and_pos :args (@t214 2)) % 16.34/16.58 (step @p299 :rule reordering :premises (@p298) :args ((or @t209 @t217))) % 16.34/16.58 (step @p300 :rule chain_m_resolution :premises (@p299 @p297) :args (@t217 @t193 (@list @t209))) % 16.34/16.58 (step @p301 :rule cnf_or_pos :args (@t215)) % 16.34/16.58 (step @p302 :rule reordering :premises (@p301) :args ((or @t205 @t214 (not @t215)))) % 16.34/16.58 (step @p303 false :rule chain_m_resolution :premises (@p302 @p300 @p292 @p272) :args (false (@list true false true) (@list @t214 @t215 @t205))) % 16.34/16.58 ) % 16.34/16.58 % SZS output end Proof % 16.34/16.58 % cvc5 exiting %------------------------------------------------------------------------------