%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM483+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 : n001.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 08:39:34 AM UTC 2026 % Result : Theorem 1.12s 1.35s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM483+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 : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:23:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.12/1.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.35 % SZS status Theorem % 1.12/1.35 % SZS output start Proof % 1.12/1.35 ( % 1.12/1.35 (declare-sort $$unsorted 0) % 1.12/1.35 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.xk $$unsorted) % 1.12/1.35 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.sz10 $$unsorted) % 1.12/1.35 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.sz00 $$unsorted) % 1.12/1.35 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 1.12/1.35 (define @t1 () (@var "W0" $$unsorted)) % 1.12/1.35 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 1.12/1.35 (define @t3 () (@list @t1)) % 1.12/1.35 (define @t4 () (tptp.aNaturalNumber0 tptp.sz10)) % 1.12/1.35 (define @t5 () (@var "W1" $$unsorted)) % 1.12/1.35 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 1.12/1.35 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 1.12/1.35 (define @t8 () (and @t2 @t7)) % 1.12/1.35 (define @t9 () (@list @t1 @t5)) % 1.12/1.35 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 1.12/1.35 (define @t11 () (tptp.sdtpldt0 @t5 @t1)) % 1.12/1.35 (define @t12 () (@var "W2" $$unsorted)) % 1.12/1.35 (define @t13 () (tptp.sdtpldt0 @t5 @t12)) % 1.12/1.35 (define @t14 () (tptp.aNaturalNumber0 @t12)) % 1.12/1.35 (define @t15 () (and @t2 @t7 @t14)) % 1.12/1.35 (define @t16 () (@list @t1 @t5 @t12)) % 1.12/1.35 (define @t17 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 1.12/1.35 (define @t18 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 1.12/1.35 (define @t19 () (and (= @t18 @t1) @t17)) % 1.12/1.35 (define @t20 () (=> @t2 @t19)) % 1.12/1.35 (define @t21 () (forall @t3 @t20)) % 1.12/1.35 (define @t22 () (tptp.sdtasdt0 @t5 @t1)) % 1.12/1.35 (define @t23 () (= @t10 @t22)) % 1.12/1.35 (define @t24 () (forall @t9 (=> @t8 @t23))) % 1.12/1.35 (define @t25 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 1.12/1.35 (define @t26 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 1.12/1.35 (define @t27 () (and (= @t26 @t1) @t25)) % 1.12/1.35 (define @t28 () (=> @t2 @t27)) % 1.12/1.35 (define @t29 () (forall @t3 @t28)) % 1.12/1.35 (define @t30 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 1.12/1.36 (define @t31 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 1.12/1.36 (define @t32 () (and (= @t31 tptp.sz00) @t30)) % 1.12/1.36 (define @t33 () (=> @t2 @t32)) % 1.12/1.36 (define @t34 () (forall @t3 @t33)) % 1.12/1.36 (define @t35 () (tptp.sdtasdt0 @t12 @t1)) % 1.12/1.36 (define @t36 () (tptp.sdtasdt0 @t1 @t12)) % 1.12/1.36 (define @t37 () (= @t5 @t12)) % 1.12/1.36 (define @t38 () (tptp.sdtpldt0 @t12 @t1)) % 1.12/1.36 (define @t39 () (tptp.sdtpldt0 @t1 @t12)) % 1.12/1.36 (define @t40 () (= @t22 @t35)) % 1.12/1.36 (define @t41 () (= @t10 @t36)) % 1.12/1.36 (define @t42 () (or @t41 @t40)) % 1.12/1.36 (define @t43 () (=> @t42 @t37)) % 1.12/1.36 (define @t44 () (and @t7 @t14)) % 1.12/1.36 (define @t45 () (@list @t5 @t12)) % 1.12/1.36 (define @t46 () (forall @t45 (=> @t44 @t43))) % 1.12/1.36 (define @t47 () (= @t1 tptp.sz00)) % 1.12/1.36 (define @t48 () (not @t47)) % 1.12/1.36 (define @t49 () (=> @t48 @t46)) % 1.12/1.36 (define @t50 () (=> @t2 @t49)) % 1.12/1.36 (define @t51 () (forall @t3 @t50)) % 1.12/1.36 (define @t52 () (= @t5 tptp.sz00)) % 1.12/1.36 (define @t53 () (and @t14 (= @t39 @t5))) % 1.12/1.36 (define @t54 () (@list @t12)) % 1.12/1.36 (define @t55 () (tptp.sdtlseqdt0 @t1 @t5)) % 1.12/1.36 (define @t56 () (= @t1 @t5)) % 1.12/1.36 (define @t57 () (tptp.sdtlseqdt0 @t5 @t1)) % 1.12/1.36 (define @t58 () (tptp.sdtlseqdt0 @t5 @t12)) % 1.12/1.36 (define @t59 () (= @t5 @t1)) % 1.12/1.36 (define @t60 () (tptp.sdtpldt0 @t12 @t5)) % 1.12/1.36 (define @t61 () (not @t56)) % 1.12/1.36 (define @t62 () (and @t61 @t55)) % 1.12/1.36 (define @t63 () (not @t40)) % 1.12/1.36 (define @t64 () (not @t41)) % 1.12/1.36 (define @t65 () (= @t1 tptp.sz10)) % 1.12/1.36 (define @t66 () (tptp.iLess0 @t1 @t5)) % 1.12/1.36 (define @t67 () (=> @t62 @t66)) % 1.12/1.36 (define @t68 () (forall @t9 (=> @t8 @t67))) % 1.12/1.36 (define @t69 () (= @t5 @t36)) % 1.12/1.36 (define @t70 () (and @t14 @t69)) % 1.12/1.36 (define @t71 () (exists @t54 @t70)) % 1.12/1.36 (define @t72 () (tptp.doDivides0 @t1 @t5)) % 1.12/1.36 (define @t73 () (= @t72 @t71)) % 1.12/1.36 (define @t74 () (=> @t8 @t73)) % 1.12/1.36 (define @t75 () (forall @t9 @t74)) % 1.12/1.36 (define @t76 () (tptp.sdtsldt0 @t5 @t1)) % 1.12/1.36 (define @t77 () (and @t48 @t72)) % 1.12/1.36 (define @t78 () (tptp.doDivides0 @t1 @t12)) % 1.12/1.36 (define @t79 () (tptp.doDivides0 @t5 @t12)) % 1.12/1.36 (define @t80 () (and @t72 @t79)) % 1.12/1.36 (define @t81 () (=> @t80 @t78)) % 1.12/1.36 (define @t82 () (forall @t16 (=> @t15 @t81))) % 1.12/1.36 (define @t83 () (tptp.doDivides0 @t1 @t13)) % 1.12/1.36 (define @t84 () (not @t52)) % 1.12/1.36 (define @t85 () (and @t72 @t84)) % 1.12/1.36 (define @t86 () (=> @t85 @t55)) % 1.12/1.36 (define @t87 () (=> @t8 @t86)) % 1.12/1.36 (define @t88 () (forall @t9 @t87)) % 1.12/1.36 (define @t89 () (or (= @t5 tptp.sz10) @t59)) % 1.12/1.36 (define @t90 () (tptp.doDivides0 @t5 @t1)) % 1.12/1.36 (define @t91 () (and @t7 @t90)) % 1.12/1.36 (define @t92 () (=> @t91 @t89)) % 1.12/1.36 (define @t93 () (@list @t5)) % 1.12/1.36 (define @t94 () (forall @t93 @t92)) % 1.12/1.36 (define @t95 () (not @t65)) % 1.12/1.36 (define @t96 () (and @t48 @t95 @t94)) % 1.12/1.36 (define @t97 () (tptp.isPrime0 @t1)) % 1.12/1.36 (define @t98 () (= @t97 @t96)) % 1.12/1.36 (define @t99 () (=> @t2 @t98)) % 1.12/1.36 (define @t100 () (forall @t3 @t99)) % 1.12/1.36 (define @t101 () (tptp.aNaturalNumber0 tptp.xk)) % 1.12/1.36 (define @t102 () (tptp.isPrime0 @t5)) % 1.12/1.36 (define @t103 () (and @t7 @t90 @t102)) % 1.12/1.36 (define @t104 () (exists @t93 @t103)) % 1.12/1.36 (define @t105 () (tptp.iLess0 @t1 tptp.xk)) % 1.12/1.36 (define @t106 () (=> @t105 @t104)) % 1.12/1.36 (define @t107 () (and @t2 @t48 @t95)) % 1.12/1.36 (define @t108 () (=> @t107 @t106)) % 1.12/1.36 (define @t109 () (forall @t3 @t108)) % 1.12/1.36 (define @t110 () (not (= tptp.xk tptp.sz10))) % 1.12/1.36 (define @t111 () (= tptp.xk tptp.sz00)) % 1.12/1.36 (define @t112 () (not @t111)) % 1.12/1.36 (define @t113 () (tptp.isPrime0 tptp.xk)) % 1.12/1.36 (define @t114 () (tptp.doDivides0 @t1 tptp.xk)) % 1.12/1.36 (define @t115 () (and @t2 @t114 @t97)) % 1.12/1.36 (define @t116 () (exists @t3 @t115)) % 1.12/1.36 (define @t117 () (not @t116)) % 1.12/1.36 (define @t118 () (not @t79)) % 1.12/1.36 (define @t119 () (not @t72)) % 1.12/1.36 (define @t120 () (not @t14)) % 1.12/1.36 (define @t121 () (not @t7)) % 1.12/1.36 (define @t122 () (not @t2)) % 1.12/1.36 (define @t123 () (or @t122 @t121 @t120 @t119 @t118 @t78)) % 1.12/1.36 (define @t124 () (or @t119 @t118 @t78)) % 1.12/1.36 (define @t125 () (or @t122 @t121 @t120)) % 1.12/1.36 (define @t126 () (or @t121 @t120)) % 1.12/1.36 (define @t127 () (not @t44)) % 1.12/1.36 (define @t128 () (not @t97)) % 1.12/1.36 (define @t129 () (not @t114)) % 1.12/1.36 (define @t130 () (or @t122 @t129 @t128)) % 1.12/1.36 (define @t131 () (forall @t3 (not @t115))) % 1.12/1.36 (define @t132 () (not @t131)) % 1.12/1.36 (define @t133 () (not @t102)) % 1.12/1.36 (define @t134 () (= tptp.sz10 @t5)) % 1.12/1.36 (define @t135 () (not (tptp.doDivides0 @t5 tptp.xk))) % 1.12/1.36 (define @t136 () (forall @t93 (or @t121 @t135 @t134 (= @t5 tptp.xk)))) % 1.12/1.36 (define @t137 () (@quantifiers_skolemize @t136 0)) % 1.12/1.36 (define @t138 () (forall @t93 (or @t121 (not (tptp.doDivides0 @t5 @t137)) @t133))) % 1.12/1.36 (define @t139 () (@quantifiers_skolemize @t138 0)) % 1.12/1.36 (define @t140 () (not @t90)) % 1.12/1.36 (define @t141 () (or @t121 @t140 @t133)) % 1.12/1.36 (define @t142 () (not (forall @t93 @t141))) % 1.12/1.36 (define @t143 () (not @t105)) % 1.12/1.36 (define @t144 () (or @t122 @t47 @t65 @t143 @t142)) % 1.12/1.36 (define @t145 () (not @t95)) % 1.12/1.36 (define @t146 () (not @t48)) % 1.12/1.36 (define @t147 () (or @t122 @t146 @t145)) % 1.12/1.36 (define @t148 () (=> @t105 @t142)) % 1.12/1.36 (define @t149 () (forall @t93 (not @t103))) % 1.12/1.36 (define @t150 () (not @t149)) % 1.12/1.36 (define @t151 () (not @t138)) % 1.12/1.36 (define @t152 () (tptp.iLess0 @t137 tptp.xk)) % 1.12/1.36 (define @t153 () (not @t152)) % 1.12/1.36 (define @t154 () (tptp.aNaturalNumber0 @t137)) % 1.12/1.36 (define @t155 () (not @t154)) % 1.12/1.36 (define @t156 () (or @t155 (= @t137 tptp.sz00) (= @t137 tptp.sz10) @t153 @t151)) % 1.12/1.36 (define @t157 () (forall @t3 @t144)) % 1.12/1.36 (define @t158 () (= tptp.sz10 @t137)) % 1.12/1.36 (define @t159 () (= tptp.sz00 @t137)) % 1.12/1.36 (define @t160 () (or @t155 @t159 @t158 @t153 @t151)) % 1.12/1.36 (define @t161 () (@list false)) % 1.12/1.36 (define @t162 () (not @t55)) % 1.12/1.36 (define @t163 () (or @t122 @t121 @t56 @t162 @t66)) % 1.12/1.36 (define @t164 () (or @t56 @t162 @t66)) % 1.12/1.36 (define @t165 () (or @t122 @t121)) % 1.12/1.36 (define @t166 () (not @t8)) % 1.12/1.36 (define @t167 () (tptp.sdtlseqdt0 @t137 tptp.xk)) % 1.12/1.36 (define @t168 () (not @t167)) % 1.12/1.36 (define @t169 () (not @t101)) % 1.12/1.36 (define @t170 () (= @t137 tptp.xk)) % 1.12/1.36 (define @t171 () (or @t155 @t169 @t170 @t168 @t152)) % 1.12/1.36 (define @t172 () (forall @t9 @t163)) % 1.12/1.36 (define @t173 () (@list @t137 tptp.xk)) % 1.12/1.36 (define @t174 () (= tptp.xk @t137)) % 1.12/1.36 (define @t175 () (or @t155 @t169 @t174 @t168 @t152)) % 1.12/1.36 (define @t176 () (= tptp.sz00 @t5)) % 1.12/1.36 (define @t177 () (or @t119 @t176 @t55)) % 1.12/1.36 (define @t178 () (not @t176)) % 1.12/1.36 (define @t179 () (and @t72 @t178)) % 1.12/1.36 (define @t180 () (=> @t179 @t55)) % 1.12/1.36 (define @t181 () (or @t121 @t140 @t134 @t56)) % 1.12/1.36 (define @t182 () (= @t97 (and @t48 @t95 (forall @t93 @t181)))) % 1.12/1.36 (define @t183 () (or @t134 @t56)) % 1.12/1.36 (define @t184 () (or @t121 @t135 @t134 (= tptp.xk @t5))) % 1.12/1.36 (define @t185 () (forall @t93 @t184)) % 1.12/1.36 (define @t186 () (and @t112 @t110 @t185)) % 1.12/1.36 (define @t187 () (= @t113 @t186)) % 1.12/1.36 (define @t188 () (or @t169 @t187)) % 1.12/1.36 (define @t189 () (forall @t3 (or @t122 @t182))) % 1.12/1.36 (define @t190 () (@list tptp.xk)) % 1.12/1.36 (define @t191 () (= tptp.sz10 tptp.xk)) % 1.12/1.36 (define @t192 () (not @t191)) % 1.12/1.36 (define @t193 () (= tptp.sz00 tptp.xk)) % 1.12/1.36 (define @t194 () (not @t193)) % 1.12/1.36 (define @t195 () (and @t194 @t192 @t136)) % 1.12/1.36 (define @t196 () (= @t113 @t195)) % 1.12/1.36 (define @t197 () (or @t169 @t196)) % 1.12/1.36 (define @t198 () (@list false false)) % 1.12/1.36 (define @t199 () (not @t195)) % 1.12/1.36 (define @t200 () (@list true false)) % 1.12/1.36 (define @t201 () (not @t136)) % 1.12/1.36 (define @t202 () (tptp.doDivides0 @t137 tptp.xk)) % 1.12/1.36 (define @t203 () (not @t202)) % 1.12/1.36 (define @t204 () (or @t155 @t203 @t158 @t174)) % 1.12/1.36 (define @t205 () (not @t204)) % 1.12/1.36 (define @t206 () (or @t155 @t203 @t158 @t170)) % 1.12/1.36 (define @t207 () (not @t206)) % 1.12/1.36 (define @t208 () (@list true)) % 1.12/1.36 (define @t209 () (@list @t204)) % 1.12/1.36 (define @t210 () (or @t155 @t169 @t203 @t193 @t167)) % 1.12/1.36 (define @t211 () (and (= tptp.sz00 @t31) @t30)) % 1.12/1.36 (define @t212 () (forall @t54 (or @t120 (not (= tptp.xk (tptp.sdtasdt0 @t137 @t12)))))) % 1.12/1.36 (define @t213 () (@quantifiers_skolemize @t212 0)) % 1.12/1.36 (define @t214 () (@list @t213)) % 1.12/1.36 (define @t215 () (= @t72 (not (forall @t54 (or @t120 (not @t69)))))) % 1.12/1.36 (define @t216 () (forall @t54 (not @t70))) % 1.12/1.36 (define @t217 () (not @t216)) % 1.12/1.36 (define @t218 () (not @t212)) % 1.12/1.36 (define @t219 () (= @t202 @t218)) % 1.12/1.36 (define @t220 () (or @t155 @t169 @t219)) % 1.12/1.36 (define @t221 () (@list false false false)) % 1.12/1.36 (define @t222 () (tptp.aNaturalNumber0 @t213)) % 1.12/1.36 (define @t223 () (tptp.sdtasdt0 @t137 @t213)) % 1.12/1.36 (define @t224 () (= tptp.xk @t223)) % 1.12/1.36 (define @t225 () (not @t224)) % 1.12/1.36 (define @t226 () (not @t222)) % 1.12/1.36 (define @t227 () (or @t226 @t225)) % 1.12/1.36 (define @t228 () (@list @t227)) % 1.12/1.36 (define @t229 () (= tptp.sz00 (tptp.sdtasdt0 @t213 tptp.sz00))) % 1.12/1.36 (define @t230 () (and @t229 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t213)))) % 1.12/1.36 (define @t231 () (or @t226 @t230)) % 1.12/1.36 (define @t232 () (tptp.sdtasdt0 @t213 @t137)) % 1.12/1.36 (define @t233 () (= @t223 @t232)) % 1.12/1.36 (define @t234 () (or @t155 @t226 @t233)) % 1.12/1.36 (define @t235 () (and (= @t1 @t18) @t17)) % 1.12/1.36 (define @t236 () (tptp.sdtpldt0 @t213 tptp.sz00)) % 1.12/1.36 (define @t237 () (= @t213 @t236)) % 1.12/1.36 (define @t238 () (and @t237 (= @t213 (tptp.sdtpldt0 tptp.sz00 @t213)))) % 1.12/1.36 (define @t239 () (or @t226 @t238)) % 1.12/1.36 (define @t240 () (@var "BOUND_VARIABLE_7771" $$unsorted)) % 1.12/1.36 (define @t241 () (@var "BOUND_VARIABLE_7769" $$unsorted)) % 1.12/1.36 (define @t242 () (= @t241 @t240)) % 1.12/1.36 (define @t243 () (and (not (= (tptp.sdtasdt0 @t1 @t241) (tptp.sdtasdt0 @t1 @t240))) (not (= (tptp.sdtasdt0 @t241 @t1) (tptp.sdtasdt0 @t240 @t1))))) % 1.12/1.36 (define @t244 () (not (tptp.aNaturalNumber0 @t240))) % 1.12/1.36 (define @t245 () (not (tptp.aNaturalNumber0 @t241))) % 1.12/1.36 (define @t246 () (or @t122 @t47 @t245 @t244 @t243 @t242)) % 1.12/1.36 (define @t247 () (or @t245 @t244 @t243 @t242)) % 1.12/1.36 (define @t248 () (or @t122 @t47 @t247)) % 1.12/1.36 (define @t249 () (@list @t1 @t241 @t240)) % 1.12/1.36 (define @t250 () (forall @t249 @t248)) % 1.12/1.36 (define @t251 () (@list @t241 @t240)) % 1.12/1.36 (define @t252 () (forall @t251 @t248)) % 1.12/1.36 (define @t253 () (forall @t251 @t247)) % 1.12/1.36 (define @t254 () (or @t122 @t47 @t253)) % 1.12/1.36 (define @t255 () (and @t64 @t63)) % 1.12/1.36 (define @t256 () (or @t121 @t120 @t255 @t37)) % 1.12/1.36 (define @t257 () (forall @t45 @t256)) % 1.12/1.36 (define @t258 () (or @t122 @t47 @t257)) % 1.12/1.36 (define @t259 () (=> @t48 @t257)) % 1.12/1.36 (define @t260 () (tptp.sdtasdt0 tptp.sz10 tptp.xk)) % 1.12/1.36 (define @t261 () (tptp.sdtasdt0 tptp.xk tptp.sz10)) % 1.12/1.36 (define @t262 () (= @t261 (tptp.sdtasdt0 tptp.xk @t137))) % 1.12/1.36 (define @t263 () (not @t262)) % 1.12/1.36 (define @t264 () (and @t263 (not (= @t260 (tptp.sdtasdt0 @t137 tptp.xk))))) % 1.12/1.36 (define @t265 () (not @t4)) % 1.12/1.36 (define @t266 () (or @t169 @t111 @t265 @t155 @t264 @t158)) % 1.12/1.36 (define @t267 () (forall @t249 @t246)) % 1.12/1.36 (define @t268 () (or @t169 @t193 @t265 @t155 @t264 @t158)) % 1.12/1.36 (define @t269 () (tptp.sdtasdt0 tptp.xk tptp.sz00)) % 1.12/1.36 (define @t270 () (= tptp.sz00 @t269)) % 1.12/1.36 (define @t271 () (and @t270 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xk)))) % 1.12/1.36 (define @t272 () (or @t169 @t271)) % 1.12/1.36 (define @t273 () (and (= @t1 @t26) @t25)) % 1.12/1.36 (define @t274 () (= tptp.xk @t261)) % 1.12/1.36 (define @t275 () (and @t274 (= tptp.xk @t260))) % 1.12/1.36 (define @t276 () (or @t169 @t275)) % 1.12/1.36 (define @t277 () (and @t274 @t270 @t159 @t224 @t237 @t233 @t229)) % 1.12/1.36 (define @t278 () (not @t159)) % 1.12/1.36 (define @t279 () (tptp.isPrime0 @t139)) % 1.12/1.36 (define @t280 () (not @t279)) % 1.12/1.36 (define @t281 () (tptp.doDivides0 @t139 @t137)) % 1.12/1.36 (define @t282 () (not @t281)) % 1.12/1.36 (define @t283 () (tptp.aNaturalNumber0 @t139)) % 1.12/1.36 (define @t284 () (not @t283)) % 1.12/1.36 (define @t285 () (or @t284 @t282 @t280)) % 1.12/1.36 (define @t286 () (not @t285)) % 1.12/1.36 (define @t287 () (@list @t285)) % 1.12/1.36 (define @t288 () (tptp.doDivides0 @t139 tptp.xk)) % 1.12/1.36 (define @t289 () (not @t288)) % 1.12/1.36 (define @t290 () (or @t284 @t289 @t280)) % 1.12/1.36 (define @t291 () (or @t284 @t155 @t169 @t282 @t203 @t288)) % 1.12/1.36 (define @t292 () (not @t291)) % 1.12/1.36 (define @t293 () (forall @t16 @t123)) % 1.12/1.36 (assume @p1 (forall @t3 (=> @t2 true))) % 1.12/1.36 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 1.12/1.36 (assume @p3 (and @t4 (not (= tptp.sz10 tptp.sz00)))) % 1.12/1.36 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 1.12/1.36 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t10)))) % 1.12/1.36 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t11)))) % 1.12/1.36 (assume @p7 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t6 @t12) (tptp.sdtpldt0 @t1 @t13))))) % 1.12/1.36 (assume @p8 @t21) % 1.12/1.36 (assume @p9 @t24) % 1.12/1.36 (assume @p10 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t10 @t12) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t12)))))) % 1.12/1.36 (assume @p11 @t29) % 1.12/1.36 (assume @p12 @t34) % 1.12/1.36 (assume @p13 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t10 @t36)) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t22 @t35)))))) % 1.12/1.36 (assume @p14 (forall @t16 (=> @t15 (=> (or (= @t6 @t39) (= @t11 @t38)) @t37)))) % 1.12/1.36 (assume @p15 @t51) % 1.12/1.36 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t47 @t52))))) % 1.12/1.36 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t47 @t52))))) % 1.12/1.36 (assume @p18 (forall @t9 (=> @t8 (= @t55 (exists @t54 @t53))))) % 1.12/1.36 (assume @p19 (forall @t9 (=> @t8 (=> @t55 (forall @t54 (= (= @t12 (tptp.sdtmndt0 @t5 @t1)) @t53)))))) % 1.12/1.36 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 1.12/1.36 (assume @p21 (forall @t9 (=> @t8 (=> (and @t55 @t57) @t56)))) % 1.12/1.36 (assume @p22 (forall @t16 (=> @t15 (=> (and @t55 @t58) (tptp.sdtlseqdt0 @t1 @t12))))) % 1.12/1.36 (assume @p23 (forall @t9 (=> @t8 (or @t55 (and (not @t59) @t57))))) % 1.12/1.36 (assume @p24 (forall @t9 (=> @t8 (=> @t62 (forall @t54 (=> @t14 (and (not (= @t38 @t60)) (tptp.sdtlseqdt0 @t38 @t60) (not (= @t39 @t13)) (tptp.sdtlseqdt0 @t39 @t13)))))))) % 1.12/1.36 (assume @p25 (forall @t16 (=> @t15 (=> (and @t48 (not @t37) @t58) (and @t64 (tptp.sdtlseqdt0 @t10 @t36) @t63 (tptp.sdtlseqdt0 @t22 @t35)))))) % 1.12/1.36 (assume @p26 (forall @t3 (=> @t2 (or @t47 @t65 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 1.12/1.36 (assume @p27 (forall @t9 (=> @t8 (=> @t48 (tptp.sdtlseqdt0 @t5 @t22))))) % 1.12/1.36 (assume @p28 (forall @t9 (=> @t8 (=> @t66 true)))) % 1.12/1.36 (assume @p29 @t68) % 1.12/1.36 (assume @p30 @t75) % 1.12/1.36 (assume @p31 (forall @t9 (=> @t8 (=> @t77 (forall @t54 (= (= @t12 @t76) @t70)))))) % 1.12/1.36 (assume @p32 @t82) % 1.12/1.36 (assume @p33 (forall @t16 (=> @t15 (=> (and @t72 @t78) @t83)))) % 1.12/1.36 (assume @p34 (forall @t16 (=> @t15 (=> (and @t72 @t83) @t78)))) % 1.12/1.36 (assume @p35 @t88) % 1.12/1.36 (assume @p36 (forall @t9 (=> @t8 (=> @t77 (forall @t54 (=> @t14 (= (tptp.sdtasdt0 @t12 @t76) (tptp.sdtsldt0 (tptp.sdtasdt0 @t12 @t5) @t1)))))))) % 1.12/1.36 (assume @p37 @t100) % 1.12/1.36 (assume @p38 @t101) % 1.12/1.36 (assume @p39 @t109) % 1.12/1.36 (assume @p40 (and @t112 @t110)) % 1.12/1.36 (assume @p41 (not @t113)) % 1.12/1.36 (assume @p42 @t117) % 1.12/1.36 (assume @p43 true) % 1.12/1.36 (step @p44 :rule aci_norm :args ((= (or @t125 @t124) @t123))) % 1.12/1.36 (step @p45 :rule aci_norm :args ((= (or (or @t119 @t118) @t78) @t124))) % 1.12/1.36 (step @p46 :rule refl :args (@t78)) % 1.12/1.36 (step @p47 :rule bool-and-de-morgan :args (@t72 @t79 true)) % 1.12/1.36 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t80) @t78))) % 1.12/1.36 (step @p49 :rule trans :premises (@p48 @p45)) % 1.12/1.36 (step @p50 :rule bool-impl-elim :args (@t80 @t78)) % 1.12/1.36 (step @p51 :rule trans :premises (@p50 @p49)) % 1.12/1.36 (step @p52 :rule aci_norm :args ((= (or @t122 @t126) @t125))) % 1.12/1.36 (step @p53 :rule bool-and-de-morgan :args (@t7 @t14 true)) % 1.12/1.36 (step @p54 :rule refl :args (@t122)) % 1.12/1.36 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t122 @t127))) % 1.12/1.36 (step @p56 :rule bool-and-de-morgan :args (@t2 @t7 (and @t14))) % 1.12/1.36 (step @p57 :rule trans :premises (@p56 @p55)) % 1.12/1.36 (step @p58 :rule trans :premises (@p57 @p52)) % 1.12/1.36 (step @p59 :rule nary_cong :premises (@p58 @p51) :args ((or (not @t15) @t81))) % 1.12/1.36 (step @p60 :rule trans :premises (@p59 @p44)) % 1.12/1.36 (step @p61 :rule bool-impl-elim :args (@t15 @t81)) % 1.12/1.36 (step @p62 :rule trans :premises (@p61 @p60)) % 1.12/1.36 (step @p63 :rule cong :premises (@p62) :args (@t82)) % 1.12/1.36 (step @p64 :rule eq_resolve :premises (@p32 @p63)) % 1.12/1.36 (step @p65 :rule bool-double-not-elim :args ((forall @t3 @t130))) % 1.12/1.36 (step @p66 :rule aci_norm :args ((= (or @t122 (or @t129 @t128)) @t130))) % 1.12/1.36 (step @p67 :rule bool-and-de-morgan :args (@t114 @t97 true)) % 1.12/1.36 (step @p68 :rule nary_cong :premises (@p54 @p67) :args ((or @t122 (not (and @t114 @t97))))) % 1.12/1.36 (step @p69 :rule bool-and-de-morgan :args (@t2 @t114 (and @t97))) % 1.12/1.36 (step @p70 :rule trans :premises (@p69 @p68)) % 1.12/1.36 (step @p71 :rule trans :premises (@p70 @p66)) % 1.12/1.36 (step @p72 :rule cong :premises (@p71) :args (@t131)) % 1.12/1.36 (step @p73 :rule cong :premises (@p72) :args (@t132)) % 1.12/1.36 (step @p74 :rule exists-elim :args ((= @t116 @t132))) % 1.12/1.36 (step @p75 :rule trans :premises (@p74 @p73)) % 1.12/1.36 (step @p76 :rule cong :premises (@p75) :args (@t117)) % 1.12/1.36 (step @p77 :rule trans :premises (@p76 @p65)) % 1.12/1.36 (step @p78 :rule eq_resolve :premises (@p42 @p77)) % 1.12/1.36 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t139))) % 1.12/1.36 (step @p80 :rule aci_norm :args ((= (or (or @t122 @t47 @t65) (or @t143 @t142)) @t144))) % 1.12/1.36 (step @p81 :rule bool-impl-elim :args (@t105 @t142)) % 1.12/1.36 (step @p82 :rule bool-double-not-elim :args (@t65)) % 1.12/1.36 (step @p83 :rule bool-double-not-elim :args (@t47)) % 1.12/1.36 (step @p84 :rule nary_cong :premises (@p54 @p83 @p82) :args (@t147)) % 1.12/1.36 (step @p85 :rule aci_norm :args ((= (or @t122 (or @t146 @t145)) @t147))) % 1.12/1.36 (step @p86 :rule trans :premises (@p85 @p84)) % 1.12/1.36 (step @p87 :rule bool-and-de-morgan :args (@t48 @t95 true)) % 1.12/1.36 (step @p88 :rule nary_cong :premises (@p54 @p87) :args ((or @t122 (not (and @t48 @t95))))) % 1.12/1.36 (step @p89 :rule bool-and-de-morgan :args (@t2 @t48 (and @t95))) % 1.12/1.36 (step @p90 :rule trans :premises (@p89 @p88)) % 1.12/1.36 (step @p91 :rule trans :premises (@p90 @p86)) % 1.12/1.36 (step @p92 :rule nary_cong :premises (@p91 @p81) :args ((or (not @t107) @t148))) % 1.12/1.36 (step @p93 :rule trans :premises (@p92 @p80)) % 1.12/1.36 (step @p94 :rule bool-impl-elim :args (@t107 @t148)) % 1.12/1.36 (step @p95 :rule trans :premises (@p94 @p93)) % 1.12/1.36 (step @p96 :rule cong :premises (@p95) :args ((forall @t3 (=> @t107 @t148)))) % 1.12/1.36 (step @p97 :rule aci_norm :args ((= (or @t121 (or @t140 @t133)) @t141))) % 1.12/1.36 (step @p98 :rule bool-and-de-morgan :args (@t90 @t102 true)) % 1.12/1.36 (step @p99 :rule refl :args (@t121)) % 1.12/1.36 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t121 (not (and @t90 @t102))))) % 1.12/1.36 (step @p101 :rule bool-and-de-morgan :args (@t7 @t90 (and @t102))) % 1.12/1.36 (step @p102 :rule trans :premises (@p101 @p100)) % 1.12/1.36 (step @p103 :rule trans :premises (@p102 @p97)) % 1.12/1.36 (step @p104 :rule cong :premises (@p103) :args (@t149)) % 1.12/1.36 (step @p105 :rule cong :premises (@p104) :args (@t150)) % 1.12/1.36 (step @p106 :rule exists-elim :args ((= @t104 @t150))) % 1.12/1.36 (step @p107 :rule trans :premises (@p106 @p105)) % 1.12/1.36 (step @p108 :rule refl :args (@t105)) % 1.12/1.36 (step @p109 :rule cong :premises (@p108 @p107) :args (@t106)) % 1.12/1.36 (step @p110 :rule refl :args (@t107)) % 1.12/1.36 (step @p111 :rule cong :premises (@p110 @p109) :args (@t108)) % 1.12/1.36 (step @p112 :rule cong :premises (@p111) :args (@t109)) % 1.12/1.36 (step @p113 :rule trans :premises (@p112 @p96)) % 1.12/1.36 (step @p114 :rule eq_resolve :premises (@p39 @p113)) % 1.12/1.36 (step @p115 :rule refl :args (@t151)) % 1.12/1.36 (step @p116 :rule refl :args (@t153)) % 1.12/1.36 (step @p117 :rule eq-symm :args (@t137 tptp.sz10)) % 1.12/1.36 (step @p118 :rule eq-symm :args (@t137 tptp.sz00)) % 1.12/1.36 (step @p119 :rule refl :args (@t155)) % 1.12/1.36 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p115) :args (@t156)) % 1.12/1.36 (step @p121 :rule refl :args (@t157)) % 1.12/1.36 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t157 @t156))) % 1.12/1.36 (assume-push @p555 @t157) % 1.12/1.36 (step @p124 :rule instantiate :premises (@p114) :args ((@list @t137))) % 1.12/1.36 (step-pop @p556 :rule scope :premises (@p124)) % 1.12/1.36 (step @p125 :rule process_scope :premises (@p556) :args (@t156)) % 1.12/1.36 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 1.12/1.36 (step @p128 :rule implies_elim :premises (@p127)) % 1.12/1.36 (step @p129 :rule chain_m_resolution :premises (@p128 @p114) :args (@t160 @t161 (@list @t157))) % 1.12/1.36 (step @p130 :rule aci_norm :args ((= (or @t165 @t164) @t163))) % 1.12/1.36 (step @p131 :rule aci_norm :args ((= (or (or @t56 @t162) @t66) @t164))) % 1.12/1.36 (step @p132 :rule refl :args (@t66)) % 1.12/1.36 (step @p133 :rule refl :args (@t162)) % 1.12/1.36 (step @p134 :rule bool-double-not-elim :args (@t56)) % 1.12/1.36 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t61) @t162))) % 1.12/1.36 (step @p136 :rule bool-and-de-morgan :args (@t61 @t55 true)) % 1.12/1.36 (step @p137 :rule trans :premises (@p136 @p135)) % 1.12/1.36 (step @p138 :rule nary_cong :premises (@p137 @p132) :args ((or (not @t62) @t66))) % 1.12/1.36 (step @p139 :rule trans :premises (@p138 @p131)) % 1.12/1.36 (step @p140 :rule bool-impl-elim :args (@t62 @t66)) % 1.12/1.36 (step @p141 :rule trans :premises (@p140 @p139)) % 1.12/1.36 (step @p142 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 1.12/1.36 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t166 @t67))) 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(@t171)) % 1.12/1.36 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 1.12/1.36 (step @p161 :rule implies_elim :premises (@p160)) % 1.12/1.36 (step @p162 :rule chain_m_resolution :premises (@p161 @p148) :args (@t175 @t161 (@list @t172))) % 1.12/1.36 (step @p163 :rule aci_norm :args ((= (or @t165 @t177) (or @t122 @t121 @t119 @t176 @t55)))) % 1.12/1.36 (step @p164 :rule aci_norm :args ((= (or (or @t119 @t176) @t55) @t177))) % 1.12/1.36 (step @p165 :rule refl :args (@t55)) % 1.12/1.36 (step @p166 :rule bool-double-not-elim :args (@t176)) % 1.12/1.36 (step @p167 :rule refl :args (@t119)) % 1.12/1.36 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t119 (not @t178)))) % 1.12/1.36 (step @p169 :rule bool-and-de-morgan :args (@t72 @t178 true)) % 1.12/1.36 (step @p170 :rule trans :premises (@p169 @p168)) % 1.12/1.36 (step @p171 :rule nary_cong :premises (@p170 @p165) :args ((or (not @t179) @t55))) % 1.12/1.36 (step @p172 :rule trans :premises (@p171 @p164)) % 1.12/1.36 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1.12/1.36 (step @p390 :rule trans :premises (@p389 @p388)) % 1.12/1.36 (step @p391 :rule nary_cong :premises (@p54 @p390) :args ((or @t122 @t259))) % 1.12/1.36 (step @p392 :rule trans :premises (@p391 @p386)) % 1.12/1.36 (step @p393 :rule bool-impl-elim :args (@t2 @t259)) % 1.12/1.36 (step @p394 :rule trans :premises (@p393 @p392)) % 1.12/1.36 (step @p395 :rule cong :premises (@p394) :args ((forall @t3 (=> @t2 @t259)))) % 1.12/1.36 (step @p396 :rule trans :premises (@p395 @p385)) % 1.12/1.36 (step @p397 :rule aci_norm :args ((= (or @t126 (or @t255 @t37)) @t256))) % 1.12/1.36 (step @p398 :rule refl :args (@t37)) % 1.12/1.36 (step @p399 :rule bool-or-de-morgan :args (@t41 @t40 false)) % 1.12/1.36 (step @p400 :rule nary_cong :premises (@p399 @p398) :args ((or (not @t42) @t37))) % 1.12/1.36 (step @p401 :rule bool-impl-elim :args (@t42 @t37)) % 1.12/1.36 (step @p402 :rule trans :premises (@p401 @p400)) % 1.12/1.36 (step @p403 :rule nary_cong :premises (@p53 @p402) :args ((or @t127 @t43))) % 1.12/1.36 (step @p404 :rule trans :premises (@p403 @p397)) % 1.12/1.36 (step @p405 :rule bool-impl-elim :args (@t44 @t43)) % 1.12/1.36 (step @p406 :rule trans :premises (@p405 @p404)) % 1.12/1.36 (step @p407 :rule cong :premises (@p406) :args (@t46)) % 1.12/1.36 (step @p408 :rule cong :premises (@p210 @p407) :args (@t49)) % 1.12/1.36 (step @p409 :rule cong :premises (@p214 @p408) :args (@t50)) % 1.12/1.36 (step @p410 :rule cong :premises (@p409) :args (@t51)) % 1.12/1.36 (step @p411 :rule trans :premises (@p410 @p396)) % 1.12/1.36 (step @p412 :rule eq_resolve :premises (@p15 @p411)) % 1.12/1.36 (step @p413 :rule refl :args (@t264)) % 1.12/1.36 (step @p414 :rule refl :args (@t265)) % 1.12/1.36 (step @p415 :rule nary_cong :premises (@p152 @p227 @p414 @p119 @p413 @p264) :args (@t266)) % 1.12/1.36 (step @p416 :rule refl :args (@t267)) % 1.12/1.36 (step @p417 :rule cong :premises (@p416 @p415) :args ((=> @t267 @t266))) % 1.12/1.36 (assume-push @p563 @t267) % 1.12/1.36 (step @p419 :rule instantiate :premises (@p412) :args ((@list tptp.xk tptp.sz10 @t137))) % 1.12/1.36 (step-pop @p564 :rule scope :premises (@p419)) % 1.12/1.36 (step @p420 :rule process_scope :premises (@p564) :args (@t266)) % 1.12/1.36 (step @p422 :rule eq_resolve :premises (@p420 @p417)) % 1.12/1.36 (step @p423 :rule implies_elim :premises (@p422)) % 1.12/1.36 (step @p424 :rule chain_m_resolution :premises (@p423 @p412) :args (@t268 @t161 (@list @t267))) % 1.12/1.36 (step @p425 :rule cnf_or_neg :args (@t204 2)) % 1.12/1.36 (step @p426 :rule chain_m_resolution :premises (@p425 @p276) :args ((not @t158) @t208 @t209)) % 1.12/1.36 (step @p427 :rule and_elim :premises (@p3) :args (0)) % 1.12/1.36 (step @p428 :rule cnf_or_pos :args (@t268)) % 1.12/1.36 (step @p429 :rule reordering :premises (@p428) :args ((or @t193 @t265 @t169 @t155 @t158 @t264 (not @t268)))) % 1.12/1.36 (step @p430 :rule chain_m_resolution :premises (@p429 @p249 @p427 @p38 @p289 @p426 @p424) :args (@t264 (@list true false false false true false) (@list @t193 @t4 @t101 @t154 @t158 @t268))) % 1.12/1.36 (step @p431 :rule cnf_and_pos :args (@t264 0)) % 1.12/1.36 (step @p432 :rule reordering :premises (@p431) :args ((or @t263 (not @t264)))) % 1.12/1.36 (step @p433 :rule chain_m_resolution :premises (@p432 @p430) :args (@t263 @t161 (@list @t264))) % 1.12/1.36 (step @p434 :rule bool-double-not-elim :args (@t224)) % 1.12/1.36 (step @p435 :rule nary_cong :premises (@p334 @p434) :args ((or @t227 (not @t225)))) % 1.12/1.36 (step @p436 :rule cnf_or_neg :args (@t227 1)) % 1.12/1.36 (step @p437 :rule eq_resolve :premises (@p436 @p435)) % 1.12/1.36 (step @p438 :rule reordering :premises (@p437) :args ((or @t224 @t227))) % 1.12/1.36 (step @p439 :rule chain_m_resolution :premises (@p438 @p332) :args (@t224 @t208 @t228)) % 1.12/1.36 (step @p440 :rule instantiate :premises (@p306) :args (@t190)) % 1.12/1.36 (step @p441 :rule cnf_or_pos :args (@t272)) % 1.12/1.36 (step @p442 :rule reordering :premises (@p441) :args ((or @t169 @t271 (not @t272)))) % 1.12/1.36 (step @p443 :rule chain_m_resolution :premises (@p442 @p38 @p440) :args (@t271 @t198 (@list @t101 @t272))) % 1.12/1.36 (step @p444 :rule cnf_and_pos :args (@t271 0)) % 1.12/1.36 (step @p445 :rule reordering :premises (@p444) :args ((or @t270 (not @t271)))) % 1.12/1.36 (step @p446 :rule chain_m_resolution :premises (@p445 @p443) :args (@t270 @t161 (@list @t271))) % 1.12/1.36 (step @p447 :rule bool-impl-elim :args (@t2 @t273)) % 1.12/1.36 (step @p448 :rule cong :premises (@p447) :args ((forall @t3 (=> @t2 @t273)))) % 1.12/1.36 (step @p449 :rule refl :args (@t25)) % 1.12/1.36 (step @p450 :rule eq-symm :args (@t26 @t1)) % 1.12/1.36 (step @p451 :rule nary_cong :premises (@p450 @p449) :args (@t27)) % 1.12/1.36 (step @p452 :rule cong :premises (@p214 @p451) :args (@t28)) % 1.12/1.36 (step @p453 :rule cong :premises (@p452) :args (@t29)) % 1.12/1.36 (step @p454 :rule trans :premises (@p453 @p448)) % 1.12/1.36 (step @p455 :rule eq_resolve :premises (@p11 @p454)) % 1.12/1.36 (step @p456 :rule instantiate :premises (@p455) :args (@t190)) % 1.12/1.36 (step @p457 :rule cnf_or_pos :args (@t276)) % 1.12/1.36 (step @p458 :rule reordering :premises (@p457) :args ((or @t169 @t275 (not @t276)))) % 1.12/1.36 (step @p459 :rule chain_m_resolution :premises (@p458 @p38 @p456) :args (@t275 @t198 (@list @t101 @t276))) % 1.12/1.36 (step @p460 :rule cnf_and_pos :args (@t275 0)) % 1.12/1.36 (step @p461 :rule reordering :premises (@p460) :args ((or @t274 (not @t275)))) % 1.12/1.36 (step @p462 :rule chain_m_resolution :premises (@p461 @p459) :args (@t274 @t161 (@list @t275))) % 1.12/1.36 (assume-push @p565 @t274) % 1.12/1.36 (assume-push @p566 @t270) % 1.12/1.36 (assume-push @p567 @t159) % 1.12/1.36 (assume-push @p568 @t224) % 1.12/1.36 (assume-push @p569 @t237) % 1.12/1.36 (assume-push @p570 @t233) % 1.12/1.36 (assume-push @p571 @t229) % 1.12/1.36 (assume-push @p572 @t224) % 1.12/1.36 (assume-push @p573 @t159) % 1.12/1.36 (assume-push @p574 @t270) % 1.12/1.36 (assume-push @p575 @t229) % 1.12/1.36 (assume-push @p576 @t237) % 1.12/1.36 (assume-push @p577 @t233) % 1.12/1.36 (assume-push @p578 @t274) % 1.12/1.36 (step @p477 :rule refl :args (@t137)) % 1.12/1.36 (step @p478 :rule symm :premises (@p439)) % 1.12/1.36 (step @p479 :rule cong :premises (@p478 @p477) :args ((tptp.sdtasdt0 @t223 @t137))) % 1.12/1.36 (step @p480 :rule cong :premises (@p439 @p567) :args (@t269)) % 1.12/1.36 (step @p481 :rule symm :premises (@p345)) % 1.12/1.36 (step @p482 :rule symm :premises (@p567)) % 1.12/1.36 (step @p483 :rule symm :premises (@p373)) % 1.12/1.36 (step @p484 :rule cong :premises (@p483 @p482) :args ((tptp.sdtasdt0 @t236 @t137))) % 1.12/1.36 (step @p485 :rule cong :premises (@p373 @p477) :args (@t232)) % 1.12/1.36 (step @p486 :rule symm :premises (@p462)) % 1.12/1.36 (step @p487 :rule trans :premises (@p486 @p439 @p357 @p485 @p484 @p481 @p446 @p480 @p479)) % 1.12/1.36 (step-pop @p579 :rule scope :premises (@p487)) % 1.12/1.36 (step-pop @p580 :rule scope :premises (@p579)) % 1.12/1.36 (step-pop @p581 :rule scope :premises (@p580)) % 1.12/1.36 (step-pop @p582 :rule scope :premises (@p581)) % 1.12/1.36 (step-pop @p583 :rule scope :premises (@p582)) % 1.12/1.36 (step-pop @p584 :rule scope :premises (@p583)) % 1.12/1.36 (step-pop @p585 :rule scope :premises (@p584)) % 1.12/1.36 (step @p488 :rule process_scope :premises (@p585) :args (@t262)) % 1.12/1.36 (step @p496 :rule and_intro :premises (@p439 @p567 @p446 @p345 @p373 @p357 @p462)) % 1.12/1.36 (step @p497 :rule modus_ponens :premises (@p496 @p488)) % 1.12/1.36 (step-pop @p586 :rule scope :premises (@p497)) % 1.12/1.36 (step-pop @p587 :rule scope :premises (@p586)) % 1.12/1.36 (step-pop @p588 :rule scope :premises (@p587)) % 1.12/1.36 (step-pop @p589 :rule scope :premises (@p588)) % 1.12/1.36 (step-pop @p590 :rule scope :premises (@p589)) % 1.12/1.36 (step-pop @p591 :rule scope :premises (@p590)) % 1.12/1.36 (step-pop @p592 :rule scope :premises (@p591)) % 1.12/1.36 (step @p498 :rule process_scope :premises (@p592) :args (@t262)) % 1.12/1.36 (step @p506 :rule implies_elim :premises (@p498)) % 1.12/1.36 (step @p507 :rule cnf_and_neg :args (@t277)) % 1.12/1.36 (step @p508 :rule resolution :premises (@p507 @p506) :args (true @t277)) % 1.12/1.36 (step @p509 :rule reordering :premises (@p508) :args ((or (not @t274) (not @t270) @t278 @t225 @t262 (not @t237) (not @t233) (not @t229)))) % 1.12/1.36 (step @p510 :rule chain_m_resolution :premises (@p509 @p462 @p446 @p439 @p433 @p373 @p357 @p345) :args (@t278 (@list false false false true false false false) (@list @t274 @t270 @t224 @t262 @t237 @t233 @t229))) % 1.12/1.36 (step @p511 :rule cnf_or_pos :args (@t160)) % 1.12/1.36 (step @p512 :rule reordering :premises (@p511) :args ((or @t155 @t158 @t159 @t153 @t151 (not @t160)))) % 1.12/1.36 (step @p513 :rule chain_m_resolution :premises (@p512 @p289 @p426 @p510 @p297 @p129) :args (@t151 (@list false true true false false) (@list @t154 @t158 @t159 @t152 @t160))) % 1.12/1.36 (step @p514 :rule refl :args (@t286)) % 1.12/1.36 (step @p515 :rule bool-double-not-elim :args (@t138)) % 1.12/1.36 (step @p516 :rule nary_cong :premises (@p515 @p514) :args ((or (not @t151) @t286))) % 1.12/1.36 (assume-push @p593 @t151) % 1.12/1.36 (step @p518 :rule skolemize :premises (@p593)) % 1.12/1.36 (step-pop @p594 :rule scope :premises (@p518)) % 1.12/1.36 (step @p519 :rule process_scope :premises (@p594) :args (@t286)) % 1.12/1.36 (step @p521 :rule implies_elim :premises (@p519)) % 1.12/1.36 (step @p522 :rule eq_resolve :premises (@p521 @p516)) % 1.12/1.36 (step @p523 :rule chain_m_resolution :premises (@p522 @p513) :args (@t286 @t208 (@list @t138))) % 1.12/1.36 (step @p524 :rule bool-double-not-elim :args (@t279)) % 1.12/1.36 (step @p525 :rule refl :args (@t285)) % 1.12/1.36 (step @p526 :rule nary_cong :premises (@p525 @p524) :args ((or @t285 (not @t280)))) % 1.12/1.36 (step @p527 :rule cnf_or_neg :args (@t285 2)) % 1.12/1.36 (step @p528 :rule eq_resolve :premises (@p527 @p526)) % 1.12/1.36 (step @p529 :rule reordering :premises (@p528) :args ((or @t279 @t285))) % 1.12/1.36 (step @p530 :rule chain_m_resolution :premises (@p529 @p523) :args (@t279 @t208 @t287)) % 1.12/1.36 (step @p531 :rule bool-double-not-elim :args (@t283)) % 1.12/1.36 (step @p532 :rule nary_cong :premises (@p525 @p531) :args ((or @t285 (not @t284)))) % 1.12/1.36 (step @p533 :rule cnf_or_neg :args (@t285 0)) % 1.12/1.36 (step @p534 :rule eq_resolve :premises (@p533 @p532)) % 1.12/1.36 (step @p535 :rule reordering :premises (@p534) :args ((or @t283 @t285))) % 1.12/1.36 (step @p536 :rule chain_m_resolution :premises (@p535 @p523) :args (@t283 @t208 @t287)) % 1.12/1.36 (step @p537 :rule cnf_or_pos :args (@t290)) % 1.12/1.36 (step @p538 :rule reordering :premises (@p537) :args ((or @t284 @t280 @t289 (not @t290)))) % 1.12/1.36 (step @p539 :rule chain_m_resolution :premises (@p538 @p536 @p530 @p79) :args (@t289 @t221 (@list @t283 @t279 @t290))) % 1.12/1.36 (step @p540 :rule bool-double-not-elim :args (@t281)) % 1.12/1.36 (step @p541 :rule nary_cong :premises (@p525 @p540) :args ((or @t285 (not @t282)))) % 1.12/1.36 (step @p542 :rule cnf_or_neg :args (@t285 1)) % 1.12/1.36 (step @p543 :rule eq_resolve :premises (@p542 @p541)) % 1.12/1.36 (step @p544 :rule reordering :premises (@p543) :args ((or @t281 @t285))) % 1.12/1.36 (step @p545 :rule chain_m_resolution :premises (@p544 @p523) :args (@t281 @t208 @t287)) % 1.12/1.36 (step @p546 :rule cnf_or_pos :args (@t291)) % 1.12/1.36 (step @p547 :rule reordering :premises (@p546) :args ((or @t169 @t155 @t203 @t284 @t282 @t288 @t292))) % 1.12/1.36 (step @p548 :rule chain_m_resolution :premises (@p547 @p38 @p289 @p283 @p536 @p545 @p539) :args (@t292 (@list false false false false false true) (@list @t101 @t154 @t202 @t283 @t281 @t288))) % 1.12/1.36 (assume-push @p595 @t293) % 1.12/1.36 (step @p550 :rule instantiate :premises (@p64) :args ((@list @t139 @t137 tptp.xk))) % 1.12/1.36 (step-pop @p596 :rule scope :premises (@p550)) % 1.12/1.36 (step @p551 :rule process_scope :premises (@p596) :args (@t291)) % 1.12/1.36 (step @p553 :rule implies_elim :premises (@p551)) % 1.12/1.36 (step @p554 false :rule chain_m_resolution :premises (@p553 @p548 @p64) :args (false @t200 (@list @t291 @t293))) % 1.12/1.36 ) % 1.12/1.36 % SZS output end Proof % 1.12/1.36 % cvc5 exiting %------------------------------------------------------------------------------