%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM498+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 : n010.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 08:39:37 AM UTC 2026 % Result : Theorem 35.60s 35.86s % Output : Proof 35.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM498+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n010.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 11:24:25 EDT 2026 % 0.14/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 35.60/35.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.60/35.86 --- Run --no-e-matching --full-saturate-quant at 6... % 35.60/35.86 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.60/35.86 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.60/35.86 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.60/35.86 % SZS status Theorem % 35.60/35.86 % SZS output start Proof % 35.60/35.86 ( % 35.60/35.86 (declare-sort $$unsorted 0) % 35.60/35.86 (declare-const tptp.xk $$unsorted) % 35.60/35.86 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 35.60/35.86 (declare-const tptp.xm $$unsorted) % 35.60/35.86 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.60/35.86 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 35.60/35.86 (declare-const tptp.xn $$unsorted) % 35.60/35.86 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 35.60/35.86 (declare-const tptp.sz00 $$unsorted) % 35.60/35.86 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.60/35.86 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.60/35.86 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.60/35.86 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 35.60/35.86 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 35.60/35.86 (declare-const tptp.sz10 $$unsorted) % 35.60/35.86 (declare-const tptp.xp $$unsorted) % 35.60/35.86 (define @t1 () (@var "W0" $$unsorted)) % 35.60/35.86 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 35.60/35.86 (define @t3 () (@list @t1)) % 35.60/35.86 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 35.60/35.86 (define @t5 () (tptp.aNaturalNumber0 tptp.sz10)) % 35.60/35.86 (define @t6 () (@var "W1" $$unsorted)) % 35.60/35.86 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 35.60/35.86 (define @t8 () (tptp.aNaturalNumber0 @t6)) % 35.60/35.86 (define @t9 () (and @t2 @t8)) % 35.60/35.86 (define @t10 () (@list @t1 @t6)) % 35.60/35.86 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 35.60/35.86 (define @t12 () (tptp.aNaturalNumber0 @t11)) % 35.60/35.86 (define @t13 () (forall @t10 (=> @t9 @t12))) % 35.60/35.86 (define @t14 () (tptp.sdtpldt0 @t6 @t1)) % 35.60/35.86 (define @t15 () (@var "W2" $$unsorted)) % 35.60/35.86 (define @t16 () (tptp.sdtpldt0 @t6 @t15)) % 35.60/35.86 (define @t17 () (tptp.sdtpldt0 @t7 @t15)) % 35.60/35.86 (define @t18 () (= @t17 (tptp.sdtpldt0 @t1 @t16))) % 35.60/35.86 (define @t19 () (tptp.aNaturalNumber0 @t15)) % 35.60/35.86 (define @t20 () (and @t2 @t8 @t19)) % 35.60/35.86 (define @t21 () (@list @t1 @t6 @t15)) % 35.60/35.86 (define @t22 () (forall @t21 (=> @t20 @t18))) % 35.60/35.86 (define @t23 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 35.60/35.86 (define @t24 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 35.60/35.86 (define @t25 () (and (= @t24 @t1) @t23)) % 35.60/35.86 (define @t26 () (=> @t2 @t25)) % 35.60/35.86 (define @t27 () (forall @t3 @t26)) % 35.60/35.86 (define @t28 () (tptp.sdtasdt0 @t6 @t1)) % 35.60/35.86 (define @t29 () (= @t11 @t28)) % 35.60/35.86 (define @t30 () (forall @t10 (=> @t9 @t29))) % 35.60/35.86 (define @t31 () (= (tptp.sdtasdt0 @t11 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t15)))) % 35.60/35.86 (define @t32 () (forall @t21 (=> @t20 @t31))) % 35.60/35.86 (define @t33 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 35.60/35.86 (define @t34 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 35.60/35.86 (define @t35 () (and (= @t34 @t1) @t33)) % 35.60/35.86 (define @t36 () (=> @t2 @t35)) % 35.60/35.86 (define @t37 () (forall @t3 @t36)) % 35.60/35.86 (define @t38 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 35.60/35.86 (define @t39 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 35.60/35.86 (define @t40 () (and (= @t39 tptp.sz00) @t38)) % 35.60/35.86 (define @t41 () (=> @t2 @t40)) % 35.60/35.86 (define @t42 () (forall @t3 @t41)) % 35.60/35.86 (define @t43 () (tptp.sdtasdt0 @t15 @t1)) % 35.60/35.86 (define @t44 () (tptp.sdtasdt0 @t1 @t15)) % 35.60/35.86 (define @t45 () (= @t6 @t15)) % 35.60/35.86 (define @t46 () (tptp.sdtpldt0 @t15 @t1)) % 35.60/35.86 (define @t47 () (tptp.sdtpldt0 @t1 @t15)) % 35.60/35.86 (define @t48 () (= @t28 @t43)) % 35.60/35.86 (define @t49 () (= @t11 @t44)) % 35.60/35.86 (define @t50 () (or @t49 @t48)) % 35.60/35.86 (define @t51 () (=> @t50 @t45)) % 35.60/35.86 (define @t52 () (and @t8 @t19)) % 35.60/35.86 (define @t53 () (@list @t6 @t15)) % 35.60/35.86 (define @t54 () (forall @t53 (=> @t52 @t51))) % 35.60/35.86 (define @t55 () (= @t1 tptp.sz00)) % 35.60/35.86 (define @t56 () (not @t55)) % 35.60/35.86 (define @t57 () (=> @t56 @t54)) % 35.60/35.86 (define @t58 () (=> @t2 @t57)) % 35.60/35.86 (define @t59 () (forall @t3 @t58)) % 35.60/35.86 (define @t60 () (= @t6 tptp.sz00)) % 35.60/35.86 (define @t61 () (or @t55 @t60)) % 35.60/35.86 (define @t62 () (=> (= @t11 tptp.sz00) @t61)) % 35.60/35.86 (define @t63 () (=> @t9 @t62)) % 35.60/35.86 (define @t64 () (forall @t10 @t63)) % 35.60/35.86 (define @t65 () (and @t19 (= @t47 @t6))) % 35.60/35.86 (define @t66 () (@list @t15)) % 35.60/35.86 (define @t67 () (tptp.sdtlseqdt0 @t1 @t6)) % 35.60/35.86 (define @t68 () (= @t1 @t6)) % 35.60/35.86 (define @t69 () (tptp.sdtlseqdt0 @t6 @t1)) % 35.60/35.86 (define @t70 () (tptp.sdtlseqdt0 @t6 @t15)) % 35.60/35.86 (define @t71 () (= @t6 @t1)) % 35.60/35.86 (define @t72 () (tptp.sdtpldt0 @t15 @t6)) % 35.60/35.86 (define @t73 () (and (not @t68) @t67)) % 35.60/35.86 (define @t74 () (not @t48)) % 35.60/35.86 (define @t75 () (not @t49)) % 35.60/35.86 (define @t76 () (= @t1 tptp.sz10)) % 35.60/35.86 (define @t77 () (tptp.iLess0 @t1 @t6)) % 35.60/35.86 (define @t78 () (= @t6 @t44)) % 35.60/35.86 (define @t79 () (and @t19 @t78)) % 35.60/35.86 (define @t80 () (exists @t66 @t79)) % 35.60/35.86 (define @t81 () (tptp.doDivides0 @t1 @t6)) % 35.60/35.86 (define @t82 () (= @t81 @t80)) % 35.60/35.86 (define @t83 () (=> @t9 @t82)) % 35.60/35.86 (define @t84 () (forall @t10 @t83)) % 35.60/35.86 (define @t85 () (tptp.sdtsldt0 @t6 @t1)) % 35.60/35.86 (define @t86 () (= @t15 @t85)) % 35.60/35.86 (define @t87 () (forall @t66 (= @t86 @t79))) % 35.60/35.86 (define @t88 () (and @t56 @t81)) % 35.60/35.86 (define @t89 () (=> @t88 @t87)) % 35.60/35.86 (define @t90 () (=> @t9 @t89)) % 35.60/35.86 (define @t91 () (forall @t10 @t90)) % 35.60/35.86 (define @t92 () (tptp.doDivides0 @t1 @t15)) % 35.60/35.86 (define @t93 () (tptp.doDivides0 @t1 @t16)) % 35.60/35.86 (define @t94 () (or (= @t6 tptp.sz10) @t71)) % 35.60/35.86 (define @t95 () (tptp.doDivides0 @t6 @t1)) % 35.60/35.86 (define @t96 () (and @t8 @t95)) % 35.60/35.86 (define @t97 () (=> @t96 @t94)) % 35.60/35.86 (define @t98 () (@list @t6)) % 35.60/35.86 (define @t99 () (forall @t98 @t97)) % 35.60/35.86 (define @t100 () (not @t76)) % 35.60/35.86 (define @t101 () (and @t56 @t100 @t99)) % 35.60/35.86 (define @t102 () (tptp.isPrime0 @t1)) % 35.60/35.86 (define @t103 () (= @t102 @t101)) % 35.60/35.86 (define @t104 () (=> @t2 @t103)) % 35.60/35.86 (define @t105 () (forall @t3 @t104)) % 35.60/35.86 (define @t106 () (tptp.aNaturalNumber0 tptp.xp)) % 35.60/35.86 (define @t107 () (tptp.aNaturalNumber0 tptp.xm)) % 35.60/35.86 (define @t108 () (tptp.aNaturalNumber0 tptp.xn)) % 35.60/35.86 (define @t109 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 35.60/35.86 (define @t110 () (tptp.doDivides0 tptp.xp @t109)) % 35.60/35.86 (define @t111 () (tptp.isPrime0 tptp.xp)) % 35.60/35.86 (define @t112 () (= tptp.xm tptp.xp)) % 35.60/35.86 (define @t113 () (= tptp.xn tptp.xp)) % 35.60/35.86 (define @t114 () (tptp.sdtsldt0 @t109 tptp.xp)) % 35.60/35.86 (define @t115 () (tptp.doDivides0 tptp.xp tptp.xm)) % 35.60/35.86 (define @t116 () (tptp.doDivides0 tptp.xp tptp.xn)) % 35.60/35.86 (define @t117 () (or @t116 @t115)) % 35.60/35.86 (define @t118 () (or (= tptp.xk tptp.sz00) (= tptp.xk tptp.sz10))) % 35.60/35.86 (define @t119 () (=> @t118 @t117)) % 35.60/35.86 (define @t120 () (not @t119)) % 35.60/35.86 (define @t121 () (not @t8)) % 35.60/35.86 (define @t122 () (not @t2)) % 35.60/35.86 (define @t123 () (or @t122 @t121)) % 35.60/35.86 (define @t124 () (not @t9)) % 35.60/35.86 (define @t125 () (@list tptp.xn tptp.xm)) % 35.60/35.86 (define @t126 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 35.60/35.86 (define @t127 () (= @t109 @t126)) % 35.60/35.86 (define @t128 () (not @t107)) % 35.60/35.86 (define @t129 () (not @t108)) % 35.60/35.86 (define @t130 () (or @t129 @t128 @t127)) % 35.60/35.86 (define @t131 () (@list false false false)) % 35.60/35.86 (define @t132 () (and (= @t1 @t34) @t33)) % 35.60/35.86 (define @t133 () (@list tptp.xm)) % 35.60/35.86 (define @t134 () (= tptp.xm (tptp.sdtasdt0 tptp.xm tptp.sz10))) % 35.60/35.86 (define @t135 () (and @t134 (= tptp.xm (tptp.sdtasdt0 tptp.sz10 tptp.xm)))) % 35.60/35.86 (define @t136 () (or @t128 @t135)) % 35.60/35.86 (define @t137 () (@list false false)) % 35.60/35.86 (define @t138 () (@list false)) % 35.60/35.86 (define @t139 () (@list tptp.xp)) % 35.60/35.86 (define @t140 () (tptp.sdtasdt0 tptp.xp tptp.sz10)) % 35.60/35.86 (define @t141 () (= tptp.xp @t140)) % 35.60/35.86 (define @t142 () (and @t141 (= tptp.xp (tptp.sdtasdt0 tptp.sz10 tptp.xp)))) % 35.60/35.86 (define @t143 () (not @t106)) % 35.60/35.86 (define @t144 () (or @t143 @t142)) % 35.60/35.86 (define @t145 () (not @t19)) % 35.60/35.86 (define @t146 () (= @t81 (not (forall @t66 (or @t145 (not @t78)))))) % 35.60/35.86 (define @t147 () (forall @t66 (not @t79))) % 35.60/35.86 (define @t148 () (not @t147)) % 35.60/35.86 (define @t149 () (tptp.aNaturalNumber0 @t109)) % 35.60/35.86 (define @t150 () (or @t129 @t128 @t149)) % 35.60/35.86 (define @t151 () (tptp.sdtasdt0 tptp.xp @t15)) % 35.60/35.86 (define @t152 () (forall @t66 (or @t145 (not (= @t109 @t151))))) % 35.60/35.86 (define @t153 () (not @t152)) % 35.60/35.86 (define @t154 () (= @t110 @t153)) % 35.60/35.86 (define @t155 () (not @t149)) % 35.60/35.86 (define @t156 () (or @t143 @t155 @t154)) % 35.60/35.86 (define @t157 () (not @t110)) % 35.60/35.86 (define @t158 () (@quantifiers_skolemize @t152 0)) % 35.60/35.86 (define @t159 () (tptp.sdtasdt0 tptp.xp @t158)) % 35.60/35.86 (define @t160 () (= @t109 @t159)) % 35.60/35.86 (define @t161 () (not @t160)) % 35.60/35.86 (define @t162 () (tptp.aNaturalNumber0 @t158)) % 35.60/35.86 (define @t163 () (not @t162)) % 35.60/35.86 (define @t164 () (or @t163 @t161)) % 35.60/35.86 (define @t165 () (@list true)) % 35.60/35.86 (define @t166 () (@list @t164)) % 35.60/35.86 (define @t167 () (or @t122 @t121 @t145)) % 35.60/35.86 (define @t168 () (or @t121 @t145)) % 35.60/35.86 (define @t169 () (not @t52)) % 35.60/35.86 (define @t170 () (not @t20)) % 35.60/35.86 (define @t171 () (tptp.sdtpldt0 tptp.sz00 tptp.sz00)) % 35.60/35.86 (define @t172 () (tptp.sdtpldt0 @t171 tptp.sz00)) % 35.60/35.86 (define @t173 () (= @t172 (tptp.sdtpldt0 tptp.sz00 @t171))) % 35.60/35.86 (define @t174 () (not @t4)) % 35.60/35.86 (define @t175 () (or @t174 @t174 @t174 @t173)) % 35.60/35.86 (define @t176 () (and (= @t1 @t24) @t23)) % 35.60/35.86 (define @t177 () (= tptp.sz00 @t171)) % 35.60/35.86 (define @t178 () (and @t177 @t177)) % 35.60/35.86 (define @t179 () (or @t174 @t178)) % 35.60/35.86 (define @t180 () (forall @t3 (or @t122 @t176))) % 35.60/35.86 (define @t181 () (@list tptp.sz00)) % 35.60/35.86 (define @t182 () (or @t174 @t177)) % 35.60/35.86 (define @t183 () (@var "BOUND_VARIABLE_8000" $$unsorted)) % 35.60/35.86 (define @t184 () (and (tptp.aNaturalNumber0 @t183) (= @t6 (tptp.sdtasdt0 @t1 @t183)))) % 35.60/35.86 (define @t185 () (= @t184 (= @t183 @t85))) % 35.60/35.86 (define @t186 () (not @t81)) % 35.60/35.86 (define @t187 () (or @t122 @t121 @t55 @t186 @t185)) % 35.60/35.86 (define @t188 () (@list @t1 @t6 @t183)) % 35.60/35.86 (define @t189 () (forall @t188 @t187)) % 35.60/35.86 (define @t190 () (@list @t183)) % 35.60/35.86 (define @t191 () (forall @t190 @t187)) % 35.60/35.86 (define @t192 () (forall @t190 @t185)) % 35.60/35.86 (define @t193 () (or @t122 @t121 @t55 @t186 @t192)) % 35.60/35.86 (define @t194 () (forall @t66 (= @t79 @t86))) % 35.60/35.86 (define @t195 () (or @t122 @t121 @t55 @t186 @t194)) % 35.60/35.86 (define @t196 () (or @t55 @t186 @t194)) % 35.60/35.86 (define @t197 () (not @t56)) % 35.60/35.86 (define @t198 () (=> @t88 @t194)) % 35.60/35.86 (define @t199 () (= @t114 @t172)) % 35.60/35.86 (define @t200 () (= @t109 (tptp.sdtasdt0 tptp.xp @t172))) % 35.60/35.86 (define @t201 () (and (tptp.aNaturalNumber0 @t172) @t200)) % 35.60/35.86 (define @t202 () (= @t201 @t199)) % 35.60/35.86 (define @t203 () (= tptp.xp tptp.sz00)) % 35.60/35.86 (define @t204 () (or @t143 @t155 @t203 @t157 @t202)) % 35.60/35.86 (define @t205 () (forall @t188 (or @t122 @t121 @t55 @t186 (= @t184 (= @t85 @t183))))) % 35.60/35.86 (define @t206 () (= tptp.sz00 tptp.xp)) % 35.60/35.86 (define @t207 () (or @t143 @t155 @t206 @t157 @t202)) % 35.60/35.86 (define @t208 () (@list @t205)) % 35.60/35.86 (define @t209 () (= tptp.sz10 @t6)) % 35.60/35.86 (define @t210 () (not @t95)) % 35.60/35.86 (define @t211 () (or @t121 @t210 @t209 @t68)) % 35.60/35.86 (define @t212 () (= @t102 (and @t56 @t100 (forall @t98 @t211)))) % 35.60/35.86 (define @t213 () (or @t209 @t68)) % 35.60/35.86 (define @t214 () (not (tptp.doDivides0 @t6 tptp.xp))) % 35.60/35.86 (define @t215 () (or @t121 @t214 @t209 (= tptp.xp @t6))) % 35.60/35.86 (define @t216 () (forall @t98 @t215)) % 35.60/35.86 (define @t217 () (not (= tptp.xp tptp.sz10))) % 35.60/35.86 (define @t218 () (not @t203)) % 35.60/35.86 (define @t219 () (and @t218 @t217 @t216)) % 35.60/35.86 (define @t220 () (= @t111 @t219)) % 35.60/35.86 (define @t221 () (or @t143 @t220)) % 35.60/35.86 (define @t222 () (forall @t3 (or @t122 @t212))) % 35.60/35.86 (define @t223 () (forall @t98 (or @t121 @t214 @t209 (= @t6 tptp.xp)))) % 35.60/35.86 (define @t224 () (not @t206)) % 35.60/35.86 (define @t225 () (and @t224 (not (= tptp.sz10 tptp.xp)) @t223)) % 35.60/35.86 (define @t226 () (= @t111 @t225)) % 35.60/35.86 (define @t227 () (or @t143 @t226)) % 35.60/35.86 (define @t228 () (not @t225)) % 35.60/35.86 (define @t229 () (@list @t225)) % 35.60/35.86 (define @t230 () (@list false false true false false)) % 35.60/35.86 (define @t231 () (and (= tptp.sz00 @t39) @t38)) % 35.60/35.86 (define @t232 () (tptp.sdtasdt0 tptp.xp tptp.sz00)) % 35.60/35.86 (define @t233 () (= tptp.sz00 @t232)) % 35.60/35.86 (define @t234 () (and @t233 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp)))) % 35.60/35.86 (define @t235 () (or @t143 @t234)) % 35.60/35.86 (define @t236 () (= tptp.sz00 @t109)) % 35.60/35.86 (define @t237 () (and @t173 @t177 @t233 @t200)) % 35.60/35.86 (define @t238 () (not @t200)) % 35.60/35.86 (define @t239 () (not @t233)) % 35.60/35.86 (define @t240 () (not @t177)) % 35.60/35.86 (define @t241 () (not @t173)) % 35.60/35.86 (define @t242 () (forall @t66 (or @t145 (not (= tptp.xn @t151))))) % 35.60/35.86 (define @t243 () (not @t242)) % 35.60/35.86 (define @t244 () (= @t116 @t243)) % 35.60/35.86 (define @t245 () (or @t143 @t129 @t244)) % 35.60/35.86 (define @t246 () (= tptp.sz10 tptp.xk)) % 35.60/35.86 (define @t247 () (= tptp.sz00 tptp.xk)) % 35.60/35.86 (define @t248 () (or @t247 @t246)) % 35.60/35.86 (define @t249 () (=> @t248 @t117)) % 35.60/35.86 (define @t250 () (not @t244)) % 35.60/35.86 (define @t251 () (@list true false)) % 35.60/35.86 (define @t252 () (= tptp.xn @t232)) % 35.60/35.86 (define @t253 () (not @t252)) % 35.60/35.86 (define @t254 () (or @t174 @t253)) % 35.60/35.86 (define @t255 () (@list tptp.xn)) % 35.60/35.86 (define @t256 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xn tptp.sz00))) % 35.60/35.86 (define @t257 () (and @t256 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xn)))) % 35.60/35.86 (define @t258 () (or @t129 @t257)) % 35.60/35.86 (define @t259 () (not @t256)) % 35.60/35.86 (define @t260 () (not @t127)) % 35.60/35.86 (define @t261 () (= tptp.sz00 tptp.xn)) % 35.60/35.86 (define @t262 () (not @t261)) % 35.60/35.86 (define @t263 () (= false true)) % 35.60/35.86 (define @t264 () (and @t177 @t233 @t253 @t256 @t127 @t261 @t236)) % 35.60/35.86 (define @t265 () (= tptp.sz00 @t6)) % 35.60/35.86 (define @t266 () (= tptp.sz00 @t11)) % 35.60/35.86 (define @t267 () (not @t266)) % 35.60/35.86 (define @t268 () (or @t122 @t121 @t267 @t55 @t265)) % 35.60/35.86 (define @t269 () (or @t267 @t55 @t265)) % 35.60/35.86 (define @t270 () (or @t55 @t265)) % 35.60/35.86 (define @t271 () (=> @t266 @t270)) % 35.60/35.86 (define @t272 () (= tptp.sz00 tptp.xm)) % 35.60/35.86 (define @t273 () (not @t236)) % 35.60/35.86 (define @t274 () (or @t129 @t128 @t273 (= tptp.xn tptp.sz00) @t272)) % 35.60/35.86 (define @t275 () (forall @t10 @t268)) % 35.60/35.86 (define @t276 () (or @t129 @t128 @t273 @t261 @t272)) % 35.60/35.86 (define @t277 () (not @t272)) % 35.60/35.86 (define @t278 () (not @t115)) % 35.60/35.86 (define @t279 () (and @t110 @t200 @t173 @t177 @t233 @t272 @t278)) % 35.60/35.86 (define @t280 () (not @t201)) % 35.60/35.86 (define @t281 () (not @t199)) % 35.60/35.86 (define @t282 () (= tptp.sz00 @t114)) % 35.60/35.86 (define @t283 () (and @t282 @t173 @t177)) % 35.60/35.86 (define @t284 () (= tptp.sz10 @t114)) % 35.60/35.86 (define @t285 () (= @t114 @t158)) % 35.60/35.86 (define @t286 () (and @t162 @t160)) % 35.60/35.86 (define @t287 () (= @t286 @t285)) % 35.60/35.86 (define @t288 () (or @t143 @t155 @t203 @t157 @t287)) % 35.60/35.86 (define @t289 () (or @t143 @t155 @t206 @t157 @t287)) % 35.60/35.86 (define @t290 () (@var "BOUND_VARIABLE_7803" $$unsorted)) % 35.60/35.86 (define @t291 () (@var "BOUND_VARIABLE_7801" $$unsorted)) % 35.60/35.86 (define @t292 () (= @t291 @t290)) % 35.60/35.86 (define @t293 () (and (not (= (tptp.sdtasdt0 @t1 @t291) (tptp.sdtasdt0 @t1 @t290))) (not (= (tptp.sdtasdt0 @t291 @t1) (tptp.sdtasdt0 @t290 @t1))))) % 35.60/35.86 (define @t294 () (not (tptp.aNaturalNumber0 @t290))) % 35.60/35.86 (define @t295 () (not (tptp.aNaturalNumber0 @t291))) % 35.60/35.86 (define @t296 () (or @t122 @t55 @t295 @t294 @t293 @t292)) % 35.60/35.86 (define @t297 () (or @t295 @t294 @t293 @t292)) % 35.60/35.86 (define @t298 () (or @t122 @t55 @t297)) % 35.60/35.86 (define @t299 () (@list @t1 @t291 @t290)) % 35.60/35.86 (define @t300 () (forall @t299 @t298)) % 35.60/35.86 (define @t301 () (@list @t291 @t290)) % 35.60/35.86 (define @t302 () (forall @t301 @t298)) % 35.60/35.86 (define @t303 () (forall @t301 @t297)) % 35.60/35.86 (define @t304 () (or @t122 @t55 @t303)) % 35.60/35.86 (define @t305 () (and @t75 @t74)) % 35.60/35.86 (define @t306 () (or @t121 @t145 @t305 @t45)) % 35.60/35.86 (define @t307 () (forall @t53 @t306)) % 35.60/35.86 (define @t308 () (or @t122 @t55 @t307)) % 35.60/35.86 (define @t309 () (=> @t56 @t307)) % 35.60/35.86 (define @t310 () (tptp.sdtasdt0 tptp.xm tptp.xp)) % 35.60/35.86 (define @t311 () (tptp.sdtasdt0 tptp.xp tptp.xp)) % 35.60/35.86 (define @t312 () (not (= @t310 @t311))) % 35.60/35.86 (define @t313 () (tptp.sdtasdt0 tptp.xp tptp.xm)) % 35.60/35.86 (define @t314 () (not (= @t313 @t311))) % 35.60/35.86 (define @t315 () (and @t314 @t312)) % 35.60/35.86 (define @t316 () (or @t143 @t203 @t128 @t143 @t315 @t112)) % 35.60/35.86 (define @t317 () (forall @t299 @t296)) % 35.60/35.86 (define @t318 () (= @t311 @t313)) % 35.60/35.86 (define @t319 () (not @t318)) % 35.60/35.86 (define @t320 () (and @t319 (not (= @t311 @t310)))) % 35.60/35.86 (define @t321 () (or @t143 @t206 @t128 @t143 @t320 @t112)) % 35.60/35.86 (define @t322 () (tptp.sdtasdt0 @t313 tptp.xn)) % 35.60/35.86 (define @t323 () (= @t322 (tptp.sdtasdt0 tptp.xp @t126))) % 35.60/35.86 (define @t324 () (or @t143 @t128 @t129 @t323)) % 35.60/35.86 (define @t325 () (@list false false false false)) % 35.60/35.86 (define @t326 () (tptp.sdtsldt0 tptp.xp tptp.xp)) % 35.60/35.86 (define @t327 () (tptp.aNaturalNumber0 @t326)) % 35.60/35.86 (define @t328 () (and @t5 @t284 @t141 @t160 @t285)) % 35.60/35.86 (define @t329 () (@list false false false false false)) % 35.60/35.86 (define @t330 () (tptp.sdtasdt0 tptp.xm @t326)) % 35.60/35.86 (define @t331 () (tptp.sdtasdt0 tptp.xp @t330)) % 35.60/35.86 (define @t332 () (= (tptp.sdtasdt0 @t313 @t326) @t331)) % 35.60/35.86 (define @t333 () (not @t327)) % 35.60/35.86 (define @t334 () (or @t143 @t128 @t333 @t332)) % 35.60/35.86 (define @t335 () (forall @t66 (or @t145 (not (= tptp.xp (tptp.sdtasdt0 tptp.xn @t15)))))) % 35.60/35.86 (define @t336 () (not @t335)) % 35.60/35.86 (define @t337 () (tptp.doDivides0 tptp.xn tptp.xp)) % 35.60/35.86 (define @t338 () (= @t337 @t336)) % 35.60/35.86 (define @t339 () (or @t129 @t143 @t338)) % 35.60/35.86 (define @t340 () (= tptp.xp (tptp.sdtpldt0 tptp.xp tptp.sz00))) % 35.60/35.86 (define @t341 () (and @t340 (= tptp.xp (tptp.sdtpldt0 tptp.sz00 tptp.xp)))) % 35.60/35.86 (define @t342 () (or @t143 @t341)) % 35.60/35.86 (define @t343 () (= tptp.xp @t109)) % 35.60/35.86 (define @t344 () (not @t285)) % 35.60/35.86 (define @t345 () (not @t141)) % 35.60/35.86 (define @t346 () (not @t340)) % 35.60/35.86 (define @t347 () (not @t284)) % 35.60/35.86 (define @t348 () (not @t343)) % 35.60/35.86 (define @t349 () (= tptp.xp @t159)) % 35.60/35.86 (define @t350 () (and @t348 @t160 @t349 @t340)) % 35.60/35.86 (define @t351 () (or @t128 @t348)) % 35.60/35.86 (define @t352 () (not @t351)) % 35.60/35.86 (define @t353 () (not @t338)) % 35.60/35.86 (define @t354 () (= tptp.sz10 tptp.xn)) % 35.60/35.86 (define @t355 () (not @t337)) % 35.60/35.86 (define @t356 () (or @t129 @t355 @t354 @t113)) % 35.60/35.86 (define @t357 () (and @t284 @t354 @t127 @t134 @t141 @t160 @t285 @t323 @t332)) % 35.60/35.86 (assume @p1 (forall @t3 (=> @t2 true))) % 35.60/35.86 (assume @p2 @t4) % 35.60/35.86 (assume @p3 (and @t5 (not (= tptp.sz10 tptp.sz00)))) % 35.60/35.86 (assume @p4 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t7)))) % 35.60/35.86 (assume @p5 @t13) % 35.60/35.86 (assume @p6 (forall @t10 (=> @t9 (= @t7 @t14)))) % 35.60/35.86 (assume @p7 @t22) % 35.60/35.86 (assume @p8 @t27) % 35.60/35.86 (assume @p9 @t30) % 35.60/35.86 (assume @p10 @t32) % 35.60/35.86 (assume @p11 @t37) % 35.60/35.86 (assume @p12 @t42) % 35.60/35.86 (assume @p13 (forall @t21 (=> @t20 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t11 @t44)) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t28 @t43)))))) % 35.60/35.86 (assume @p14 (forall @t21 (=> @t20 (=> (or (= @t7 @t47) (= @t14 @t46)) @t45)))) % 35.60/35.86 (assume @p15 @t59) % 35.60/35.86 (assume @p16 (forall @t10 (=> @t9 (=> (= @t7 tptp.sz00) (and @t55 @t60))))) % 35.60/35.86 (assume @p17 @t64) % 35.60/35.86 (assume @p18 (forall @t10 (=> @t9 (= @t67 (exists @t66 @t65))))) % 35.60/35.86 (assume @p19 (forall @t10 (=> @t9 (=> @t67 (forall @t66 (= (= @t15 (tptp.sdtmndt0 @t6 @t1)) @t65)))))) % 35.60/35.86 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 35.60/35.86 (assume @p21 (forall @t10 (=> @t9 (=> (and @t67 @t69) @t68)))) % 35.60/35.86 (assume @p22 (forall @t21 (=> @t20 (=> (and @t67 @t70) (tptp.sdtlseqdt0 @t1 @t15))))) % 35.60/35.86 (assume @p23 (forall @t10 (=> @t9 (or @t67 (and (not @t71) @t69))))) % 35.60/35.86 (assume @p24 (forall @t10 (=> @t9 (=> @t73 (forall @t66 (=> @t19 (and (not (= @t46 @t72)) (tptp.sdtlseqdt0 @t46 @t72) (not (= @t47 @t16)) (tptp.sdtlseqdt0 @t47 @t16)))))))) % 35.60/35.86 (assume @p25 (forall @t21 (=> @t20 (=> (and @t56 (not @t45) @t70) (and @t75 (tptp.sdtlseqdt0 @t11 @t44) @t74 (tptp.sdtlseqdt0 @t28 @t43)))))) % 35.60/35.86 (assume @p26 (forall @t3 (=> @t2 (or @t55 @t76 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 35.60/35.86 (assume @p27 (forall @t10 (=> @t9 (=> @t56 (tptp.sdtlseqdt0 @t6 @t28))))) % 35.60/35.86 (assume @p28 (forall @t10 (=> @t9 (=> @t77 true)))) % 35.60/35.86 (assume @p29 (forall @t10 (=> @t9 (=> @t73 @t77)))) % 35.60/35.86 (assume @p30 @t84) % 35.60/35.86 (assume @p31 @t91) % 35.60/35.86 (assume @p32 (forall @t21 (=> @t20 (=> (and @t81 (tptp.doDivides0 @t6 @t15)) @t92)))) % 35.60/35.86 (assume @p33 (forall @t21 (=> @t20 (=> (and @t81 @t92) @t93)))) % 35.60/35.86 (assume @p34 (forall @t21 (=> @t20 (=> (and @t81 @t93) @t92)))) % 35.60/35.86 (assume @p35 (forall @t10 (=> @t9 (=> (and @t81 (not @t60)) @t67)))) % 35.60/35.86 (assume @p36 (forall @t10 (=> @t9 (=> @t88 (forall @t66 (=> @t19 (= (tptp.sdtasdt0 @t15 @t85) (tptp.sdtsldt0 (tptp.sdtasdt0 @t15 @t6) @t1)))))))) % 35.60/35.86 (assume @p37 @t105) % 35.60/35.86 (assume @p38 (forall @t3 (=> (and @t2 @t56 @t100) (exists @t98 (and @t8 @t95 (tptp.isPrime0 @t6)))))) % 35.60/35.86 (assume @p39 (and @t108 @t107 @t106)) % 35.60/35.86 (assume @p40 (forall @t21 (=> @t20 (=> (and (tptp.isPrime0 @t15) (tptp.doDivides0 @t15 @t11)) (=> (tptp.iLess0 @t17 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 @t15 @t1) (tptp.doDivides0 @t15 @t6))))))) % 35.60/35.86 (assume @p41 (and @t111 @t110)) % 35.60/35.86 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 35.60/35.86 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 35.60/35.86 (assume @p44 (and (not @t113) (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not @t112) (tptp.sdtlseqdt0 tptp.xm tptp.xp))) % 35.60/35.86 (assume @p45 (= tptp.xk @t114)) % 35.60/35.86 (assume @p46 @t120) % 35.60/35.86 (assume @p47 true) % 35.60/35.86 (step @p48 :rule aci_norm :args ((= (or @t123 @t29) (or @t122 @t121 @t29)))) % 35.60/35.86 (step @p49 :rule refl :args (@t29)) % 35.60/35.86 (step @p50 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 35.60/35.86 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t124 @t29))) % 35.60/35.86 (step @p52 :rule trans :premises (@p51 @p48)) % 35.60/35.86 (step @p53 :rule bool-impl-elim :args (@t9 @t29)) % 35.60/35.86 (step @p54 :rule trans :premises (@p53 @p52)) % 35.60/35.86 (step @p55 :rule cong :premises (@p54) :args (@t30)) % 35.60/35.86 (step @p56 :rule eq_resolve :premises (@p9 @p55)) % 35.60/35.86 (step @p57 :rule instantiate :premises (@p56) :args (@t125)) % 35.60/35.86 (step @p58 :rule and_elim :premises (@p39) :args (1)) % 35.60/35.86 (step @p59 :rule and_elim :premises (@p39) :args (0)) % 35.60/35.86 (step @p60 :rule cnf_or_pos :args (@t130)) % 35.60/35.86 (step @p61 :rule reordering :premises (@p60) :args ((or @t129 @t128 @t127 (not @t130)))) % 35.60/35.86 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p58 @p57) :args (@t127 @t131 (@list @t108 @t107 @t130))) % 35.60/35.86 (step @p63 :rule bool-impl-elim :args (@t2 @t132)) % 35.60/35.86 (step @p64 :rule cong :premises (@p63) :args ((forall @t3 (=> @t2 @t132)))) % 35.60/35.86 (step @p65 :rule refl :args (@t33)) % 35.60/35.86 (step @p66 :rule eq-symm :args (@t34 @t1)) % 35.60/35.86 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t35)) % 35.60/35.86 (step @p68 :rule refl :args (@t2)) % 35.60/35.86 (step @p69 :rule cong :premises (@p68 @p67) :args (@t36)) % 35.60/35.86 (step @p70 :rule cong :premises (@p69) :args (@t37)) % 35.60/35.86 (step @p71 :rule trans :premises (@p70 @p64)) % 35.60/35.86 (step @p72 :rule eq_resolve :premises (@p11 @p71)) % 35.60/35.86 (step @p73 :rule instantiate :premises (@p72) :args (@t133)) % 35.60/35.86 (step @p74 :rule cnf_or_pos :args (@t136)) % 35.60/35.86 (step @p75 :rule reordering :premises (@p74) :args ((or @t128 @t135 (not @t136)))) % 35.60/35.86 (step @p76 :rule chain_m_resolution :premises (@p75 @p58 @p73) :args (@t135 @t137 (@list @t107 @t136))) % 35.60/35.86 (step @p77 :rule cnf_and_pos :args (@t135 0)) % 35.60/35.86 (step @p78 :rule reordering :premises (@p77) :args ((or @t134 (not @t135)))) % 35.60/35.86 (step @p79 :rule chain_m_resolution :premises (@p78 @p76) :args (@t134 @t138 (@list @t135))) % 35.60/35.86 (step @p80 :rule instantiate :premises (@p72) :args (@t139)) % 35.60/35.86 (step @p81 :rule and_elim :premises (@p39) :args (2)) % 35.60/35.86 (step @p82 :rule cnf_or_pos :args (@t144)) % 35.60/35.86 (step @p83 :rule reordering :premises (@p82) :args ((or @t143 @t142 (not @t144)))) % 35.60/35.86 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p80) :args (@t142 @t137 (@list @t106 @t144))) % 35.60/35.86 (step @p85 :rule cnf_and_pos :args (@t142 0)) % 35.60/35.86 (step @p86 :rule reordering :premises (@p85) :args ((or @t141 (not @t142)))) % 35.60/35.86 (step @p87 :rule chain_m_resolution :premises (@p86 @p84) :args (@t141 @t138 (@list @t142))) % 35.60/35.86 (step @p88 :rule aci_norm :args ((= (or @t123 @t146) (or @t122 @t121 @t146)))) % 35.60/35.86 (step @p89 :rule refl :args (@t146)) % 35.60/35.86 (step @p90 :rule nary_cong :premises (@p50 @p89) :args ((or @t124 @t146))) % 35.60/35.86 (step @p91 :rule trans :premises (@p90 @p88)) % 35.60/35.86 (step @p92 :rule bool-impl-elim :args (@t9 @t146)) % 35.60/35.86 (step @p93 :rule trans :premises (@p92 @p91)) % 35.60/35.86 (step @p94 :rule cong :premises (@p93) :args ((forall @t10 (=> @t9 @t146)))) % 35.60/35.86 (step @p95 :rule bool-and-de-morgan :args (@t19 @t78 true)) % 35.60/35.86 (step @p96 :rule cong :premises (@p95) :args (@t147)) % 35.60/35.86 (step @p97 :rule cong :premises (@p96) :args (@t148)) % 35.60/35.86 (step @p98 :rule exists-elim :args ((= @t80 @t148))) % 35.60/35.86 (step @p99 :rule trans :premises (@p98 @p97)) % 35.60/35.86 (step @p100 :rule refl :args (@t81)) % 35.60/35.86 (step @p101 :rule cong :premises (@p100 @p99) :args (@t82)) % 35.60/35.86 (step @p102 :rule refl :args (@t9)) % 35.60/35.86 (step @p103 :rule cong :premises (@p102 @p101) :args (@t83)) % 35.60/35.86 (step @p104 :rule cong :premises (@p103) :args (@t84)) % 35.60/35.86 (step @p105 :rule trans :premises (@p104 @p94)) % 35.60/35.86 (step @p106 :rule eq_resolve :premises (@p30 @p105)) % 35.60/35.86 (step @p107 :rule instantiate :premises (@p106) :args ((@list tptp.xp @t109))) % 35.60/35.86 (step @p108 :rule aci_norm :args ((= (or @t123 @t12) (or @t122 @t121 @t12)))) % 35.60/35.86 (step @p109 :rule refl :args (@t12)) % 35.60/35.86 (step @p110 :rule nary_cong :premises (@p50 @p109) :args ((or @t124 @t12))) % 35.60/35.86 (step @p111 :rule trans :premises (@p110 @p108)) % 35.60/35.86 (step @p112 :rule bool-impl-elim :args (@t9 @t12)) % 35.60/35.86 (step @p113 :rule trans :premises (@p112 @p111)) % 35.60/35.86 (step @p114 :rule cong :premises (@p113) :args (@t13)) % 35.60/35.86 (step @p115 :rule eq_resolve :premises (@p5 @p114)) % 35.60/35.86 (step @p116 :rule instantiate :premises (@p115) :args (@t125)) % 35.60/35.86 (step @p117 :rule cnf_or_pos :args (@t150)) % 35.60/35.86 (step @p118 :rule reordering :premises (@p117) :args ((or @t129 @t128 @t149 (not @t150)))) % 35.60/35.86 (step @p119 :rule chain_m_resolution :premises (@p118 @p59 @p58 @p116) :args (@t149 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@p134 @p778 @p735)) % 35.60/35.86 (step-pop @p1024 :rule scope :premises (@p779)) % 35.60/35.86 (step-pop @p1025 :rule scope :premises (@p1024)) % 35.60/35.86 (step-pop @p1026 :rule scope :premises (@p1025)) % 35.60/35.86 (step-pop @p1027 :rule scope :premises (@p1026)) % 35.60/35.86 (step-pop @p1028 :rule scope :premises (@p1027)) % 35.60/35.86 (step-pop @p1029 :rule scope :premises (@p1028)) % 35.60/35.86 (step @p780 :rule process_scope :premises (@p1029) :args (@t350)) % 35.60/35.86 (step @p787 :rule implies_elim :premises (@p780)) % 35.60/35.86 (step @p788 :rule resolution :premises (@p787 @p756) :args (true @t350)) % 35.60/35.86 (step @p789 :rule not_and :premises (@p788)) % 35.60/35.86 (step @p790 :rule eq_resolve :premises (@p789 @p742)) % 35.60/35.86 (step @p791 :rule chain_m_resolution :premises (@p790 @p577 @p735 @p87 @p134 @p602) :args (@t343 @t329 (@list @t284 @t340 @t141 @t160 @t285))) % 35.60/35.86 (step @p792 :rule cnf_or_pos :args (@t351)) % 35.60/35.86 (step @p793 :rule reordering :premises (@p792) :args ((or @t128 @t348 @t352))) % 35.60/35.86 (step @p794 :rule chain_m_resolution :premises (@p793 @p58 @p791) :args (@t352 @t137 (@list @t107 @t343))) % 35.60/35.86 (assume-push @p1030 @t335) % 35.60/35.86 (step @p796 :rule instantiate :premises (@p1030) :args (@t133)) % 35.60/35.86 (step-pop @p1031 :rule scope :premises (@p796)) % 35.60/35.86 (step @p797 :rule process_scope :premises (@p1031) :args (@t351)) % 35.60/35.86 (step @p799 :rule implies_elim :premises (@p797)) % 35.60/35.86 (step @p800 :rule chain_m_resolution :premises (@p799 @p794) :args (@t336 @t165 (@list @t351))) % 35.60/35.86 (step @p801 :rule bool-double-not-elim :args (@t335)) % 35.60/35.86 (step @p802 :rule refl :args (@t337)) % 35.60/35.86 (step @p803 :rule refl :args (@t353)) % 35.60/35.86 (step @p804 :rule nary_cong :premises (@p803 @p802 @p801) :args ((or @t353 @t337 (not @t336)))) % 35.60/35.86 (step @p805 :rule cnf_equiv_pos2 :args (@t338)) % 35.60/35.86 (step @p806 :rule eq_resolve :premises (@p805 @p804)) % 35.60/35.86 (step @p807 :rule reordering :premises (@p806) :args ((or @t337 @t335 @t353))) % 35.60/35.86 (step @p808 :rule chain_m_resolution :premises (@p807 @p800 @p728) :args (@t337 @t251 (@list @t335 @t338))) % 35.60/35.86 (step @p809 :rule and_elim :premises (@p44) :args (0)) % 35.60/35.86 (step @p810 :rule cnf_or_pos :args (@t356)) % 35.60/35.86 (step @p811 :rule reordering :premises (@p810) :args ((or @t113 @t129 @t354 @t355 (not @t356)))) % 35.60/35.86 (step @p812 :rule chain_m_resolution :premises (@p811 @p809 @p59 @p808 @p724) :args (@t354 (@list true false false false) (@list @t113 @t108 @t337 @t356))) % 35.60/35.86 (assume-push @p1032 @t284) % 35.60/35.86 (assume-push @p1033 @t354) % 35.60/35.86 (assume-push @p1034 @t127) % 35.60/35.86 (assume-push @p1035 @t134) % 35.60/35.86 (assume-push @p1036 @t141) % 35.60/35.86 (assume-push @p1037 @t160) % 35.60/35.86 (assume-push @p1038 @t285) % 35.60/35.86 (assume-push @p1039 @t323) % 35.60/35.86 (assume-push @p1040 @t332) % 35.60/35.86 (assume-push @p1041 @t332) % 35.60/35.86 (assume-push @p1042 @t285) % 35.60/35.86 (assume-push @p1043 @t141) % 35.60/35.86 (assume-push @p1044 @t323) % 35.60/35.86 (assume-push @p1045 @t134) % 35.60/35.86 (assume-push @p1046 @t127) % 35.60/35.86 (assume-push @p1047 @t354) % 35.60/35.86 (assume-push @p1048 @t160) % 35.60/35.86 (assume-push @p1049 @t284) % 35.60/35.86 (step @p831 :rule symm :premises (@p79)) % 35.60/35.86 (step @p832 :rule symm :premises (@p1032)) % 35.60/35.86 (step @p329 :rule refl :args (tptp.xp)) % 35.60/35.86 (step @p691 :rule symm :premises (@p134)) % 35.60/35.86 (step @p833 :rule trans :premises (@p1032 @p602)) % 35.60/35.86 (step @p834 :rule cong :premises (@p329 @p833) :args (@t140)) % 35.60/35.86 (step @p835 :rule trans :premises (@p87 @p834 @p691)) % 35.60/35.86 (step @p836 :rule cong :premises (@p835 @p329) :args (@t326)) % 35.60/35.86 (step @p837 :rule trans :premises (@p836 @p832)) % 35.60/35.86 (step @p838 :rule refl :args (tptp.xm)) % 35.60/35.86 (step @p839 :rule cong :premises (@p838 @p837) :args (@t330)) % 35.60/35.86 (step @p840 :rule trans :premises (@p839 @p831)) % 35.60/35.86 (step @p841 :rule cong :premises (@p329 @p840) :args (@t331)) % 35.60/35.86 (step @p842 :rule symm :premises (@p836)) % 35.60/35.86 (step @p843 :rule symm :premises (@p1033)) % 35.60/35.86 (step @p844 :rule trans :premises (@p843 @p1032 @p842)) % 35.60/35.86 (step @p845 :rule refl :args (@t313)) % 35.60/35.86 (step @p846 :rule cong :premises (@p845 @p844) :args (@t322)) % 35.60/35.86 (step @p847 :rule symm :premises (@p676)) % 35.60/35.86 (step @p848 :rule trans :premises (@p87 @p834 @p691 @p62)) % 35.60/35.86 (step @p849 :rule cong :premises (@p329 @p848) :args (@t311)) % 35.60/35.86 (step @p850 :rule trans :premises (@p849 @p847 @p846 @p1040 @p841)) % 35.60/35.86 (step-pop @p1050 :rule scope :premises (@p850)) % 35.60/35.86 (step-pop @p1051 :rule scope :premises (@p1050)) % 35.60/35.86 (step-pop @p1052 :rule scope :premises (@p1051)) % 35.60/35.86 (step-pop @p1053 :rule scope :premises (@p1052)) % 35.60/35.86 (step-pop @p1054 :rule scope :premises (@p1053)) % 35.60/35.86 (step-pop @p1055 :rule scope :premises (@p1054)) % 35.60/35.86 (step-pop @p1056 :rule scope :premises (@p1055)) % 35.60/35.86 (step-pop @p1057 :rule scope :premises (@p1056)) % 35.60/35.86 (step-pop @p1058 :rule scope :premises (@p1057)) % 35.60/35.86 (step @p851 :rule process_scope :premises (@p1058) :args (@t318)) % 35.60/35.86 (step @p861 :rule and_intro :premises (@p1040 @p602 @p87 @p676 @p79 @p62 @p1033 @p134 @p1032)) % 35.60/35.86 (step @p862 :rule modus_ponens :premises (@p861 @p851)) % 35.60/35.86 (step-pop @p1059 :rule scope :premises (@p862)) % 35.60/35.86 (step-pop @p1060 :rule scope :premises (@p1059)) % 35.60/35.86 (step-pop @p1061 :rule scope :premises (@p1060)) % 35.60/35.86 (step-pop @p1062 :rule scope :premises (@p1061)) % 35.60/35.86 (step-pop @p1063 :rule scope :premises (@p1062)) % 35.60/35.86 (step-pop @p1064 :rule scope :premises (@p1063)) % 35.60/35.86 (step-pop @p1065 :rule scope :premises (@p1064)) % 35.60/35.86 (step-pop @p1066 :rule scope :premises (@p1065)) % 35.60/35.86 (step-pop @p1067 :rule scope :premises (@p1066)) % 35.60/35.86 (step @p863 :rule process_scope :premises (@p1067) :args (@t318)) % 35.60/35.86 (step @p873 :rule implies_elim :premises (@p863)) % 35.60/35.86 (step @p874 :rule cnf_and_neg :args (@t357)) % 35.60/35.86 (step @p875 :rule resolution :premises (@p874 @p873) :args (true @t357)) % 35.60/35.86 (step @p876 :rule reordering :premises (@p875) :args ((or @t347 (not @t354) @t260 (not @t134) @t345 @t161 @t318 @t344 (not @t323) (not @t332)))) % 35.60/35.86 (step @p877 false :rule chain_m_resolution :premises (@p876 @p812 @p720 @p676 @p664 @p602 @p577 @p134 @p87 @p79 @p62) :args (false (@list false false false true false false false false false false) (@list @t354 @t332 @t323 @t318 @t285 @t284 @t160 @t141 @t134 @t127))) % 35.60/35.86 ) % 35.60/35.86 % SZS output end Proof % 35.60/35.86 % cvc5 exiting %------------------------------------------------------------------------------