%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM495+3 : 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 19.44s 19.63s % Output : Proof 19.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM495+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 11:23:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 19.44/19.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.44/19.63 --- Run --no-e-matching --full-saturate-quant at 6... % 19.44/19.63 % SZS status Theorem % 19.44/19.63 % SZS output start Proof % 19.44/19.63 ( % 19.44/19.63 (declare-sort $$unsorted 0) % 19.44/19.63 (declare-const tptp.xr $$unsorted) % 19.44/19.63 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 19.44/19.63 (declare-const tptp.xm $$unsorted) % 19.44/19.63 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.44/19.63 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 19.44/19.63 (declare-const tptp.xn $$unsorted) % 19.44/19.63 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 19.44/19.63 (declare-const tptp.sz00 $$unsorted) % 19.44/19.63 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.44/19.63 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.44/19.63 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.44/19.63 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 19.44/19.63 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 19.44/19.63 (declare-const tptp.sz10 $$unsorted) % 19.44/19.63 (declare-const tptp.xp $$unsorted) % 19.44/19.63 (define @t1 () (@var "W0" $$unsorted)) % 19.44/19.63 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 19.44/19.63 (define @t3 () (@list @t1)) % 19.44/19.63 (define @t4 () (tptp.aNaturalNumber0 tptp.sz10)) % 19.44/19.63 (define @t5 () (@var "W1" $$unsorted)) % 19.44/19.63 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 19.44/19.63 (define @t7 () (tptp.aNaturalNumber0 @t6)) % 19.44/19.63 (define @t8 () (tptp.aNaturalNumber0 @t5)) % 19.44/19.63 (define @t9 () (and @t2 @t8)) % 19.44/19.63 (define @t10 () (@list @t1 @t5)) % 19.44/19.63 (define @t11 () (forall @t10 (=> @t9 @t7))) % 19.44/19.63 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 19.44/19.63 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 19.44/19.63 (define @t14 () (@var "W2" $$unsorted)) % 19.44/19.63 (define @t15 () (tptp.sdtpldt0 @t5 @t14)) % 19.44/19.63 (define @t16 () (tptp.sdtpldt0 @t6 @t14)) % 19.44/19.63 (define @t17 () (tptp.aNaturalNumber0 @t14)) % 19.44/19.63 (define @t18 () (and @t2 @t8 @t17)) % 19.44/19.63 (define @t19 () (@list @t1 @t5 @t14)) % 19.44/19.63 (define @t20 () (tptp.sdtasdt0 @t5 @t1)) % 19.44/19.63 (define @t21 () (tptp.sdtasdt0 @t14 @t1)) % 19.44/19.63 (define @t22 () (tptp.sdtasdt0 @t1 @t14)) % 19.44/19.63 (define @t23 () (= @t5 @t14)) % 19.44/19.63 (define @t24 () (tptp.sdtpldt0 @t14 @t1)) % 19.44/19.63 (define @t25 () (tptp.sdtpldt0 @t1 @t14)) % 19.44/19.63 (define @t26 () (= @t20 @t21)) % 19.44/19.63 (define @t27 () (= @t12 @t22)) % 19.44/19.63 (define @t28 () (and @t8 @t17)) % 19.44/19.63 (define @t29 () (= @t1 tptp.sz00)) % 19.44/19.63 (define @t30 () (not @t29)) % 19.44/19.63 (define @t31 () (= @t5 tptp.sz00)) % 19.44/19.63 (define @t32 () (and @t17 (= @t25 @t5))) % 19.44/19.63 (define @t33 () (@list @t14)) % 19.44/19.63 (define @t34 () (tptp.sdtlseqdt0 @t1 @t5)) % 19.44/19.63 (define @t35 () (= @t1 @t5)) % 19.44/19.63 (define @t36 () (tptp.sdtlseqdt0 @t5 @t1)) % 19.44/19.63 (define @t37 () (tptp.sdtlseqdt0 @t5 @t14)) % 19.44/19.63 (define @t38 () (= @t5 @t1)) % 19.44/19.63 (define @t39 () (tptp.sdtpldt0 @t14 @t5)) % 19.44/19.63 (define @t40 () (not @t35)) % 19.44/19.63 (define @t41 () (and @t40 @t34)) % 19.44/19.63 (define @t42 () (= @t1 tptp.sz10)) % 19.44/19.63 (define @t43 () (tptp.iLess0 @t1 @t5)) % 19.44/19.63 (define @t44 () (=> @t41 @t43)) % 19.44/19.63 (define @t45 () (forall @t10 (=> @t9 @t44))) % 19.44/19.63 (define @t46 () (and @t17 (= @t5 @t22))) % 19.44/19.63 (define @t47 () (tptp.doDivides0 @t1 @t5)) % 19.44/19.63 (define @t48 () (tptp.sdtsldt0 @t5 @t1)) % 19.44/19.63 (define @t49 () (and @t30 @t47)) % 19.44/19.63 (define @t50 () (tptp.doDivides0 @t1 @t14)) % 19.44/19.63 (define @t51 () (tptp.doDivides0 @t1 @t15)) % 19.44/19.63 (define @t52 () (tptp.doDivides0 @t5 @t1)) % 19.44/19.63 (define @t53 () (@list @t5)) % 19.44/19.63 (define @t54 () (not @t42)) % 19.44/19.63 (define @t55 () (tptp.aNaturalNumber0 tptp.xp)) % 19.44/19.63 (define @t56 () (tptp.aNaturalNumber0 tptp.xm)) % 19.44/19.63 (define @t57 () (tptp.doDivides0 @t14 @t5)) % 19.44/19.63 (define @t58 () (@var "W3" $$unsorted)) % 19.44/19.63 (define @t59 () (tptp.sdtasdt0 @t14 @t58)) % 19.44/19.63 (define @t60 () (= @t5 @t59)) % 19.44/19.63 (define @t61 () (tptp.aNaturalNumber0 @t58)) % 19.44/19.63 (define @t62 () (and @t61 @t60)) % 19.44/19.63 (define @t63 () (@list @t58)) % 19.44/19.63 (define @t64 () (exists @t63 @t62)) % 19.44/19.63 (define @t65 () (and @t64 @t57)) % 19.44/19.63 (define @t66 () (tptp.doDivides0 @t14 @t1)) % 19.44/19.63 (define @t67 () (= @t1 @t59)) % 19.44/19.63 (define @t68 () (and @t61 @t67)) % 19.44/19.63 (define @t69 () (exists @t63 @t68)) % 19.44/19.63 (define @t70 () (and @t69 @t66)) % 19.44/19.63 (define @t71 () (or @t70 @t65)) % 19.44/19.63 (define @t72 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 19.44/19.63 (define @t73 () (tptp.sdtpldt0 @t72 tptp.xp)) % 19.44/19.63 (define @t74 () (tptp.iLess0 @t16 @t73)) % 19.44/19.63 (define @t75 () (=> @t74 @t71)) % 19.44/19.63 (define @t76 () (tptp.doDivides0 @t14 @t12)) % 19.44/19.63 (define @t77 () (= @t12 @t59)) % 19.44/19.63 (define @t78 () (and @t61 @t77)) % 19.44/19.63 (define @t79 () (exists @t63 @t78)) % 19.44/19.63 (define @t80 () (or @t79 @t76)) % 19.44/19.63 (define @t81 () (tptp.isPrime0 @t14)) % 19.44/19.63 (define @t82 () (or (= @t58 tptp.sz10) (= @t58 @t14))) % 19.44/19.63 (define @t83 () (tptp.doDivides0 @t58 @t14)) % 19.44/19.63 (define @t84 () (@var "W4" $$unsorted)) % 19.44/19.63 (define @t85 () (= @t14 (tptp.sdtasdt0 @t58 @t84))) % 19.44/19.63 (define @t86 () (tptp.aNaturalNumber0 @t84)) % 19.44/19.63 (define @t87 () (and @t86 @t85)) % 19.44/19.63 (define @t88 () (@list @t84)) % 19.44/19.63 (define @t89 () (exists @t88 @t87)) % 19.44/19.63 (define @t90 () (and @t61 @t89 @t83)) % 19.44/19.63 (define @t91 () (=> @t90 @t82)) % 19.44/19.63 (define @t92 () (forall @t63 @t91)) % 19.44/19.63 (define @t93 () (not (= @t14 tptp.sz10))) % 19.44/19.63 (define @t94 () (not (= @t14 tptp.sz00))) % 19.44/19.63 (define @t95 () (and @t94 @t93 @t92)) % 19.44/19.63 (define @t96 () (or @t95 @t81)) % 19.44/19.63 (define @t97 () (and @t96 @t80)) % 19.44/19.63 (define @t98 () (=> @t97 @t75)) % 19.44/19.63 (define @t99 () (=> @t18 @t98)) % 19.44/19.63 (define @t100 () (forall @t19 @t99)) % 19.44/19.63 (define @t101 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 19.44/19.63 (define @t102 () (tptp.sdtasdt0 tptp.xp @t1)) % 19.44/19.63 (define @t103 () (tptp.isPrime0 tptp.xp)) % 19.44/19.63 (define @t104 () (tptp.sdtpldt0 tptp.xp tptp.xr)) % 19.44/19.63 (define @t105 () (tptp.aNaturalNumber0 tptp.xr)) % 19.44/19.63 (define @t106 () (tptp.sdtasdt0 tptp.xr tptp.xm)) % 19.44/19.63 (define @t107 () (tptp.doDivides0 tptp.xp @t106)) % 19.44/19.63 (define @t108 () (tptp.sdtpldt0 tptp.xr tptp.xm)) % 19.44/19.63 (define @t109 () (tptp.sdtpldt0 @t108 tptp.xp)) % 19.44/19.63 (define @t110 () (tptp.sdtlseqdt0 @t109 @t73)) % 19.44/19.63 (define @t111 () (tptp.sdtpldt0 @t109 @t1)) % 19.44/19.63 (define @t112 () (and @t2 (= @t111 @t73))) % 19.44/19.63 (define @t113 () (exists @t3 @t112)) % 19.44/19.63 (define @t114 () (not (= @t109 @t73))) % 19.44/19.63 (define @t115 () (tptp.doDivides0 tptp.xp tptp.xm)) % 19.44/19.63 (define @t116 () (= tptp.xm @t102)) % 19.44/19.63 (define @t117 () (and @t2 @t116)) % 19.44/19.63 (define @t118 () (exists @t3 @t117)) % 19.44/19.63 (define @t119 () (tptp.doDivides0 tptp.xp tptp.xr)) % 19.44/19.63 (define @t120 () (and @t2 (= tptp.xr @t102))) % 19.44/19.63 (define @t121 () (exists @t3 @t120)) % 19.44/19.63 (define @t122 () (or @t121 @t119 @t118 @t115)) % 19.44/19.63 (define @t123 () (not @t122)) % 19.44/19.63 (define @t124 () (not @t103)) % 19.44/19.63 (define @t125 () (@var "BOUND_VARIABLE_8212" $$unsorted)) % 19.44/19.63 (define @t126 () (tptp.sdtasdt0 @t58 @t125)) % 19.44/19.63 (define @t127 () (not (tptp.aNaturalNumber0 @t125))) % 19.44/19.63 (define @t128 () (= tptp.sz10 @t58)) % 19.44/19.63 (define @t129 () (not @t61)) % 19.44/19.63 (define @t130 () (@list @t58 @t125)) % 19.44/19.63 (define @t131 () (and (or (= tptp.sz00 tptp.xp) (= tptp.sz10 tptp.xp) (not (forall @t130 (or @t129 (not (tptp.doDivides0 @t58 tptp.xp)) @t128 (= tptp.xp @t58) @t127 (not (= tptp.xp @t126)))))) @t124)) % 19.44/19.63 (define @t132 () (not @t131)) % 19.44/19.63 (define @t133 () (@list false)) % 19.44/19.63 (define @t134 () (not @t34)) % 19.44/19.63 (define @t135 () (not @t8)) % 19.44/19.63 (define @t136 () (not @t2)) % 19.44/19.63 (define @t137 () (or @t35 @t134 @t43)) % 19.44/19.63 (define @t138 () (or @t136 @t135)) % 19.44/19.63 (define @t139 () (not @t9)) % 19.44/19.63 (define @t140 () (tptp.sdtpldt0 (tptp.sdtpldt0 @t104 tptp.xm) tptp.xp)) % 19.44/19.63 (define @t141 () (forall @t3 (or @t136 (not (= @t111 @t140))))) % 19.44/19.63 (define @t142 () (@quantifiers_skolemize @t141 0)) % 19.44/19.63 (define @t143 () (tptp.aNaturalNumber0 @t108)) % 19.44/19.63 (define @t144 () (not @t56)) % 19.44/19.63 (define @t145 () (not @t105)) % 19.44/19.63 (define @t146 () (or @t145 @t144 @t143)) % 19.44/19.63 (define @t147 () (@list false false false)) % 19.44/19.63 (define @t148 () (tptp.aNaturalNumber0 @t109)) % 19.44/19.63 (define @t149 () (not @t55)) % 19.44/19.63 (define @t150 () (not @t143)) % 19.44/19.63 (define @t151 () (or @t150 @t149 @t148)) % 19.44/19.63 (define @t152 () (not (= @t140 @t111))) % 19.44/19.63 (define @t153 () (or @t136 @t152)) % 19.44/19.63 (define @t154 () (forall @t3 @t153)) % 19.44/19.63 (define @t155 () (= @t73 @t111)) % 19.44/19.63 (define @t156 () (not @t155)) % 19.44/19.63 (define @t157 () (or @t136 @t156)) % 19.44/19.63 (define @t158 () (forall @t3 @t157)) % 19.44/19.63 (define @t159 () (and @t2 @t155)) % 19.44/19.63 (define @t160 () (forall @t3 (not @t159))) % 19.44/19.63 (define @t161 () (not @t160)) % 19.44/19.63 (define @t162 () (tptp.sdtpldt0 @t109 @t142)) % 19.44/19.63 (define @t163 () (= @t140 @t162)) % 19.44/19.63 (define @t164 () (not @t163)) % 19.44/19.63 (define @t165 () (tptp.aNaturalNumber0 @t142)) % 19.44/19.63 (define @t166 () (not @t165)) % 19.44/19.63 (define @t167 () (or @t166 @t164)) % 19.44/19.63 (define @t168 () (not @t167)) % 19.44/19.63 (define @t169 () (not @t141)) % 19.44/19.63 (define @t170 () (not (= @t162 @t140))) % 19.44/19.63 (define @t171 () (or @t166 @t170)) % 19.44/19.63 (define @t172 () (not @t171)) % 19.44/19.63 (define @t173 () (@list true)) % 19.44/19.63 (define @t174 () (@list @t167)) % 19.44/19.63 (define @t175 () (tptp.aNaturalNumber0 @t162)) % 19.44/19.63 (define @t176 () (not @t148)) % 19.44/19.63 (define @t177 () (or @t176 @t166 @t175)) % 19.44/19.63 (define @t178 () (tptp.aNaturalNumber0 @t140)) % 19.44/19.63 (define @t179 () (= @t73 @t109)) % 19.44/19.63 (define @t180 () (tptp.iLess0 @t109 @t140)) % 19.44/19.63 (define @t181 () (tptp.sdtlseqdt0 @t109 @t140)) % 19.44/19.63 (define @t182 () (not @t181)) % 19.44/19.63 (define @t183 () (= @t109 @t140)) % 19.44/19.63 (define @t184 () (not @t178)) % 19.44/19.63 (define @t185 () (or @t176 @t184 @t183 @t182 @t180)) % 19.44/19.63 (define @t186 () (and (not (forall @t63 (or @t129 (not @t60)))) @t57)) % 19.44/19.63 (define @t187 () (and (not (forall @t63 (or @t129 (not @t67)))) @t66)) % 19.44/19.63 (define @t188 () (not @t74)) % 19.44/19.63 (define @t189 () (not @t76)) % 19.44/19.63 (define @t190 () (@var "BOUND_VARIABLE_8273" $$unsorted)) % 19.44/19.63 (define @t191 () (or (not (tptp.aNaturalNumber0 @t190)) (not (= @t12 (tptp.sdtasdt0 @t14 @t190))))) % 19.44/19.63 (define @t192 () (and @t191 @t189)) % 19.44/19.63 (define @t193 () (not @t81)) % 19.44/19.63 (define @t194 () (not (= @t14 @t126))) % 19.44/19.63 (define @t195 () (= @t14 @t58)) % 19.44/19.63 (define @t196 () (not @t83)) % 19.44/19.63 (define @t197 () (or @t129 @t196 @t128 @t195 @t127 @t194)) % 19.44/19.63 (define @t198 () (forall @t130 @t197)) % 19.44/19.63 (define @t199 () (not @t198)) % 19.44/19.63 (define @t200 () (= tptp.sz10 @t14)) % 19.44/19.63 (define @t201 () (= tptp.sz00 @t14)) % 19.44/19.63 (define @t202 () (and (or @t201 @t200 @t199) @t193)) % 19.44/19.63 (define @t203 () (not @t17)) % 19.44/19.63 (define @t204 () (or @t136 @t135 @t203 @t202 @t192 @t188 @t187 @t186)) % 19.44/19.63 (define @t205 () (forall (@list @t1 @t5 @t14 @t190) @t204)) % 19.44/19.63 (define @t206 () (@list @t190)) % 19.44/19.63 (define @t207 () (forall @t206 @t204)) % 19.44/19.63 (define @t208 () (forall @t206 @t189)) % 19.44/19.63 (define @t209 () (forall @t206 @t191)) % 19.44/19.63 (define @t210 () (and @t209 @t208)) % 19.44/19.63 (define @t211 () (forall @t206 @t192)) % 19.44/19.63 (define @t212 () (or @t136 @t135 @t203 @t202 @t211 @t188 @t187 @t186)) % 19.44/19.63 (define @t213 () (forall @t63 (or @t129 (not @t77)))) % 19.44/19.63 (define @t214 () (and @t213 @t189)) % 19.44/19.63 (define @t215 () (or @t136 @t135 @t203 @t202 @t214 @t188 @t187 @t186)) % 19.44/19.63 (define @t216 () (or @t202 @t214 @t188 @t187 @t186)) % 19.44/19.63 (define @t217 () (or @t136 @t135 @t203)) % 19.44/19.63 (define @t218 () (or @t188 @t187 @t186)) % 19.44/19.63 (define @t219 () (or @t187 @t186)) % 19.44/19.63 (define @t220 () (not @t213)) % 19.44/19.63 (define @t221 () (not @t200)) % 19.44/19.63 (define @t222 () (not @t221)) % 19.44/19.63 (define @t223 () (not @t201)) % 19.44/19.63 (define @t224 () (not @t223)) % 19.44/19.63 (define @t225 () (or @t224 @t222 @t199)) % 19.44/19.63 (define @t226 () (and @t223 @t221 @t198)) % 19.44/19.63 (define @t227 () (or @t220 @t76)) % 19.44/19.63 (define @t228 () (or @t226 @t81)) % 19.44/19.63 (define @t229 () (=> @t74 @t219)) % 19.44/19.63 (define @t230 () (and @t228 @t227)) % 19.44/19.63 (define @t231 () (=> @t230 @t229)) % 19.44/19.63 (define @t232 () (forall @t63 (not @t62))) % 19.44/19.63 (define @t233 () (not @t232)) % 19.44/19.63 (define @t234 () (forall @t63 (not @t68))) % 19.44/19.63 (define @t235 () (not @t234)) % 19.44/19.63 (define @t236 () (forall @t63 (not @t78))) % 19.44/19.63 (define @t237 () (not @t236)) % 19.44/19.63 (define @t238 () (or @t127 @t194)) % 19.44/19.63 (define @t239 () (or @t129 @t238 @t196 @t128 @t195)) % 19.44/19.63 (define @t240 () (forall @t130 @t239)) % 19.44/19.63 (define @t241 () (@list @t125)) % 19.44/19.63 (define @t242 () (forall @t241 @t239)) % 19.44/19.63 (define @t243 () (forall @t241 @t238)) % 19.44/19.63 (define @t244 () (or @t129 @t243 @t196 @t128 @t195)) % 19.44/19.63 (define @t245 () (forall @t88 (or (not @t86) (not @t85)))) % 19.44/19.63 (define @t246 () (or @t129 @t245 @t196 @t128 @t195)) % 19.44/19.63 (define @t247 () (or @t128 @t195)) % 19.44/19.63 (define @t248 () (not @t245)) % 19.44/19.63 (define @t249 () (not @t248)) % 19.44/19.63 (define @t250 () (or @t129 @t249 @t196)) % 19.44/19.63 (define @t251 () (and @t61 @t248 @t83)) % 19.44/19.63 (define @t252 () (forall @t88 (not @t87))) % 19.44/19.63 (define @t253 () (not @t252)) % 19.44/19.63 (define @t254 () (forall @t3 (not @t117))) % 19.44/19.63 (define @t255 () (not @t254)) % 19.44/19.63 (define @t256 () (= @t102 tptp.xr)) % 19.44/19.63 (define @t257 () (and @t2 @t256)) % 19.44/19.63 (define @t258 () (forall @t3 (not @t257))) % 19.44/19.63 (define @t259 () (not @t258)) % 19.44/19.63 (define @t260 () (tptp.sdtasdt0 tptp.xp @t58)) % 19.44/19.63 (define @t261 () (and (not (forall @t63 (or @t129 (not (= tptp.xm @t260))))) @t115)) % 19.44/19.63 (define @t262 () (not @t261)) % 19.44/19.63 (define @t263 () (not @t107)) % 19.44/19.63 (define @t264 () (and (or (not @t4) (not (= @t106 (tptp.sdtasdt0 tptp.xp tptp.sz10)))) @t263)) % 19.44/19.63 (define @t265 () (not @t264)) % 19.44/19.63 (define @t266 () (and (not (forall @t63 (or @t129 (not (= tptp.xr @t260))))) @t119)) % 19.44/19.63 (define @t267 () (not @t266)) % 19.44/19.63 (define @t268 () (not @t180)) % 19.44/19.63 (define @t269 () (or @t145 @t144 @t149 @t131 @t264 @t268 @t266 @t261)) % 19.44/19.63 (assume @p1 (forall @t3 (=> @t2 true))) % 19.44/19.63 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 19.44/19.63 (assume @p3 (and @t4 (not (= tptp.sz10 tptp.sz00)))) % 19.44/19.63 (assume @p4 @t11) % 19.44/19.63 (assume @p5 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t12)))) % 19.44/19.63 (assume @p6 (forall @t10 (=> @t9 (= @t6 @t13)))) % 19.44/19.63 (assume @p7 (forall @t19 (=> @t18 (= @t16 (tptp.sdtpldt0 @t1 @t15))))) % 19.44/19.63 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 19.44/19.63 (assume @p9 (forall @t10 (=> @t9 (= @t12 @t20)))) % 19.44/19.63 (assume @p10 (forall @t19 (=> @t18 (= (tptp.sdtasdt0 @t12 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t14)))))) % 19.44/19.63 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 19.44/19.63 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 19.44/19.63 (assume @p13 (forall @t19 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t12 @t22)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t20 @t21)))))) % 19.44/19.63 (assume @p14 (forall @t19 (=> @t18 (=> (or (= @t6 @t25) (= @t13 @t24)) @t23)))) % 19.44/19.63 (assume @p15 (forall @t3 (=> @t2 (=> @t30 (forall (@list @t5 @t14) (=> @t28 (=> (or @t27 @t26) @t23))))))) % 19.44/19.63 (assume @p16 (forall @t10 (=> @t9 (=> (= @t6 tptp.sz00) (and @t29 @t31))))) % 19.44/19.63 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or @t29 @t31))))) % 19.44/19.63 (assume @p18 (forall @t10 (=> @t9 (= @t34 (exists @t33 @t32))))) % 19.44/19.63 (assume @p19 (forall @t10 (=> @t9 (=> @t34 (forall @t33 (= (= @t14 (tptp.sdtmndt0 @t5 @t1)) @t32)))))) % 19.44/19.63 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 19.44/19.63 (assume @p21 (forall @t10 (=> @t9 (=> (and @t34 @t36) @t35)))) % 19.44/19.63 (assume @p22 (forall @t19 (=> @t18 (=> (and @t34 @t37) (tptp.sdtlseqdt0 @t1 @t14))))) % 19.44/19.63 (assume @p23 (forall @t10 (=> @t9 (or @t34 (and (not @t38) @t36))))) % 19.44/19.63 (assume @p24 (forall @t10 (=> @t9 (=> @t41 (forall @t33 (=> @t17 (and (not (= @t24 @t39)) (tptp.sdtlseqdt0 @t24 @t39) (not (= @t25 @t15)) (tptp.sdtlseqdt0 @t25 @t15)))))))) % 19.44/19.63 (assume @p25 (forall @t19 (=> @t18 (=> (and @t30 (not @t23) @t37) (and (not @t27) (tptp.sdtlseqdt0 @t12 @t22) (not @t26) (tptp.sdtlseqdt0 @t20 @t21)))))) % 19.44/19.63 (assume @p26 (forall @t3 (=> @t2 (or @t29 @t42 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 19.44/19.63 (assume @p27 (forall @t10 (=> @t9 (=> @t30 (tptp.sdtlseqdt0 @t5 @t20))))) % 19.44/19.63 (assume @p28 (forall @t10 (=> @t9 (=> @t43 true)))) % 19.44/19.63 (assume @p29 @t45) % 19.44/19.63 (assume @p30 (forall @t10 (=> @t9 (= @t47 (exists @t33 @t46))))) % 19.44/19.64 (assume @p31 (forall @t10 (=> @t9 (=> @t49 (forall @t33 (= (= @t14 @t48) @t46)))))) % 19.44/19.64 (assume @p32 (forall @t19 (=> @t18 (=> (and @t47 (tptp.doDivides0 @t5 @t14)) @t50)))) % 19.44/19.64 (assume @p33 (forall @t19 (=> @t18 (=> (and @t47 @t50) @t51)))) % 19.44/19.64 (assume @p34 (forall @t19 (=> @t18 (=> (and @t47 @t51) @t50)))) % 19.44/19.64 (assume @p35 (forall @t10 (=> @t9 (=> (and @t47 (not @t31)) @t34)))) % 19.44/19.64 (assume @p36 (forall @t10 (=> @t9 (=> @t49 (forall @t33 (=> @t17 (= (tptp.sdtasdt0 @t14 @t48) (tptp.sdtsldt0 (tptp.sdtasdt0 @t14 @t5) @t1)))))))) % 19.44/19.64 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t30 @t54 (forall @t53 (=> (and @t8 @t52) (or (= @t5 tptp.sz10) @t38)))))))) % 19.44/19.64 (assume @p38 (forall @t3 (=> (and @t2 @t30 @t54) (exists @t53 (and @t8 @t52 (tptp.isPrime0 @t5)))))) % 19.44/19.64 (assume @p39 (and (tptp.aNaturalNumber0 tptp.xn) @t56 @t55)) % 19.44/19.64 (assume @p40 @t100) % 19.44/19.64 (assume @p41 (and (not (= tptp.xp tptp.sz00)) (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t53 (and @t8 (= tptp.xp @t12))) (tptp.doDivides0 @t1 tptp.xp))) (or @t42 (= @t1 tptp.xp)))) @t103 (exists @t3 (and @t2 (= @t101 @t102))) (tptp.doDivides0 tptp.xp @t101))) % 19.44/19.64 (assume @p42 (and (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xp @t1) tptp.xn))) (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 19.44/19.64 (assume @p43 (and @t105 (= @t104 tptp.xn) (= tptp.xr (tptp.sdtmndt0 tptp.xn tptp.xp)))) % 19.44/19.64 (assume @p44 (and (not (= tptp.xr tptp.xn)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xr @t1) tptp.xn))) (tptp.sdtlseqdt0 tptp.xr tptp.xn))) % 19.44/19.64 (assume @p45 (and (exists @t3 (and @t2 (= @t106 @t102))) @t107)) % 19.44/19.64 (assume @p46 (and @t114 @t113 @t110)) % 19.44/19.64 (assume @p47 @t123) % 19.44/19.64 (assume @p48 true) % 19.44/19.64 (step @p49 :rule and_elim :premises (@p39) :args (1)) % 19.44/19.64 (step @p50 :rule and_elim :premises (@p39) :args (2)) % 19.44/19.64 (step @p51 :rule and_elim :premises (@p43) :args (0)) % 19.44/19.64 (step @p52 :rule and_elim :premises (@p41) :args (3)) % 19.44/19.64 (step @p53 :rule cnf_and_pos :args (@t131 1)) % 19.44/19.64 (step @p54 :rule reordering :premises (@p53) :args ((or @t124 @t132))) % 19.44/19.64 (step @p55 :rule chain_m_resolution :premises (@p54 @p52) :args (@t132 @t133 (@list @t103))) % 19.44/19.64 (step @p56 :rule aci_norm :args ((= (or @t138 @t137) (or @t136 @t135 @t35 @t134 @t43)))) % 19.44/19.64 (step @p57 :rule aci_norm :args ((= (or (or @t35 @t134) @t43) @t137))) % 19.44/19.64 (step @p58 :rule refl :args (@t43)) % 19.44/19.64 (step @p59 :rule refl :args (@t134)) % 19.44/19.64 (step @p60 :rule bool-double-not-elim :args (@t35)) % 19.44/19.64 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t40) @t134))) % 19.44/19.64 (step @p62 :rule bool-and-de-morgan :args (@t40 @t34 true)) % 19.44/19.64 (step @p63 :rule trans :premises (@p62 @p61)) % 19.44/19.64 (step @p64 :rule nary_cong :premises (@p63 @p58) :args ((or (not @t41) @t43))) % 19.44/19.64 (step @p65 :rule trans :premises (@p64 @p57)) % 19.44/19.64 (step @p66 :rule bool-impl-elim :args (@t41 @t43)) % 19.44/19.64 (step @p67 :rule trans :premises (@p66 @p65)) % 19.44/19.64 (step @p68 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 19.44/19.64 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t139 @t44))) % 19.44/19.64 (step @p70 :rule trans :premises (@p69 @p56)) % 19.44/19.64 (step @p71 :rule bool-impl-elim :args (@t9 @t44)) % 19.44/19.64 (step @p72 :rule trans :premises (@p71 @p70)) % 19.44/19.64 (step @p73 :rule cong :premises (@p72) :args (@t45)) % 19.44/19.64 (step @p74 :rule eq_resolve :premises (@p29 @p73)) % 19.44/19.64 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t109 @t140))) % 19.44/19.64 (step @p76 :rule aci_norm :args ((= (or @t138 @t7) (or @t136 @t135 @t7)))) % 19.44/19.64 (step @p77 :rule refl :args (@t7)) % 19.44/19.64 (step @p78 :rule nary_cong :premises (@p68 @p77) :args ((or @t139 @t7))) % 19.44/19.64 (step @p79 :rule trans :premises (@p78 @p76)) % 19.44/19.64 (step @p80 :rule bool-impl-elim :args (@t9 @t7)) % 19.44/19.64 (step @p81 :rule trans :premises (@p80 @p79)) % 19.44/19.64 (step @p82 :rule cong :premises (@p81) :args (@t11)) % 19.44/19.64 (step @p83 :rule eq_resolve :premises (@p4 @p82)) % 19.44/19.64 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t109 @t142))) % 19.44/19.64 (step @p85 :rule instantiate :premises (@p83) :args ((@list @t108 tptp.xp))) % 19.44/19.64 (step @p86 :rule instantiate :premises (@p83) :args ((@list tptp.xr tptp.xm))) % 19.44/19.64 (step @p87 :rule cnf_or_pos :args (@t146)) % 19.44/19.64 (step @p88 :rule reordering :premises (@p87) :args ((or @t144 @t145 @t143 (not @t146)))) % 19.44/19.64 (step @p89 :rule chain_m_resolution :premises (@p88 @p49 @p51 @p86) :args (@t143 @t147 (@list @t56 @t105 @t146))) % 19.44/19.64 (step @p90 :rule cnf_or_pos :args (@t151)) % 19.44/19.64 (step @p91 :rule reordering :premises (@p90) :args ((or @t149 @t150 @t148 (not @t151)))) % 19.44/19.64 (step @p92 :rule chain_m_resolution :premises (@p91 @p50 @p89 @p85) :args (@t148 @t147 (@list @t55 @t143 @t151))) % 19.44/19.64 (step @p93 :rule eq-symm :args (@t140 @t111)) % 19.44/19.64 (step @p94 :rule cong :premises (@p93) :args (@t152)) % 19.44/19.64 (step @p95 :rule refl :args (@t136)) % 19.44/19.64 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t153)) % 19.44/19.64 (step @p97 :rule cong :premises (@p96) :args (@t154)) % 19.44/19.64 (step @p98 :rule cong :premises (@p97) :args ((not @t154))) % 19.44/19.64 (step @p99 :rule refl :args (@t111)) % 19.44/19.64 (step @p100 :rule refl :args (tptp.xp)) % 19.44/19.64 (step @p101 :rule refl :args (tptp.xm)) % 19.44/19.64 (step @p102 :rule and_elim :premises (@p43) :args (1)) % 19.44/19.64 (step @p103 :rule symm :premises (@p102)) % 19.44/19.64 (step @p104 :rule cong :premises (@p103 @p101) :args (@t72)) % 19.44/19.64 (step @p105 :rule cong :premises (@p104 @p100) :args (@t73)) % 19.44/19.64 (step @p106 :rule cong :premises (@p105 @p99) :args (@t155)) % 19.44/19.64 (step @p107 :rule cong :premises (@p106) :args (@t156)) % 19.44/19.64 (step @p108 :rule nary_cong :premises (@p95 @p107) :args (@t157)) % 19.44/19.64 (step @p109 :rule cong :premises (@p108) :args (@t158)) % 19.44/19.64 (step @p110 :rule cong :premises (@p109) :args ((not @t158))) % 19.44/19.64 (step @p111 :rule trans :premises (@p110 @p98)) % 19.44/19.64 (step @p112 :rule bool-and-de-morgan :args (@t2 @t155 true)) % 19.44/19.64 (step @p113 :rule cong :premises (@p112) :args (@t160)) % 19.44/19.64 (step @p114 :rule cong :premises (@p113) :args (@t161)) % 19.44/19.64 (step @p115 :rule exists-elim :args ((= (exists @t3 @t159) @t161))) % 19.44/19.64 (step @p116 :rule trans :premises (@p115 @p114)) % 19.44/19.64 (step @p117 :rule eq-symm :args (@t111 @t73)) % 19.44/19.64 (step @p118 :rule refl :args (@t2)) % 19.44/19.64 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t112)) % 19.44/19.64 (step @p120 :rule cong :premises (@p119) :args (@t113)) % 19.44/19.64 (step @p121 :rule trans :premises (@p120 @p116)) % 19.44/19.64 (step @p122 :rule trans :premises (@p121 @p111)) % 19.44/19.64 (step @p123 :rule and_elim :premises (@p46) :args (1)) % 19.44/19.64 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 19.44/19.64 (step @p125 :rule refl :args (@t168)) % 19.44/19.64 (step @p126 :rule bool-double-not-elim :args (@t141)) % 19.44/19.64 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t169) @t168))) % 19.44/19.64 (step @p128 :rule eq-symm :args (@t162 @t140)) % 19.44/19.64 (step @p129 :rule cong :premises (@p128) :args (@t170)) % 19.44/19.64 (step @p130 :rule refl :args (@t166)) % 19.44/19.64 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t171)) % 19.44/19.64 (step @p132 :rule cong :premises (@p131) :args (@t172)) % 19.44/19.64 (step @p133 :rule refl :args (@t169)) % 19.44/19.64 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t169 @t172))) % 19.44/19.64 (assume-push @p375 @t169) % 19.44/19.64 (step @p136 :rule skolemize :premises (@p124)) % 19.44/19.64 (step-pop @p376 :rule scope :premises (@p136)) % 19.44/19.64 (step @p137 :rule process_scope :premises (@p376) :args (@t172)) % 19.44/19.64 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 19.44/19.64 (step @p140 :rule implies_elim :premises (@p139)) % 19.44/19.64 (step @p141 :rule eq_resolve :premises (@p140 @p127)) % 19.44/19.64 (step @p142 :rule chain_m_resolution :premises (@p141 @p124) :args (@t168 @t173 (@list @t141))) % 19.44/19.64 (step @p143 :rule bool-double-not-elim :args (@t165)) % 19.44/19.64 (step @p144 :rule refl :args (@t167)) % 19.44/19.64 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t167 (not @t166)))) % 19.44/19.64 (step @p146 :rule cnf_or_neg :args (@t167 0)) % 19.44/19.64 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 19.44/19.64 (step @p148 :rule reordering :premises (@p147) :args ((or @t165 @t167))) % 19.44/19.64 (step @p149 :rule chain_m_resolution :premises (@p148 @p142) :args (@t165 @t173 @t174)) % 19.44/19.64 (step @p150 :rule cnf_or_pos :args (@t177)) % 19.44/19.64 (step @p151 :rule reordering :premises (@p150) :args ((or @t166 @t176 @t175 (not @t177)))) % 19.44/19.64 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p92 @p84) :args (@t175 @t147 (@list @t165 @t148 @t177))) % 19.44/19.64 (step @p153 :rule true_intro :premises (@p152)) % 19.44/19.64 (step @p154 :rule bool-double-not-elim :args (@t163)) % 19.44/19.64 (step @p155 :rule nary_cong :premises (@p144 @p154) :args ((or @t167 (not @t164)))) % 19.44/19.64 (step @p156 :rule cnf_or_neg :args (@t167 1)) % 19.44/19.64 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 19.44/19.64 (step @p158 :rule reordering :premises (@p157) :args ((or @t163 @t167))) % 19.44/19.64 (step @p159 :rule chain_m_resolution :premises (@p158 @p142) :args (@t163 @t173 @t174)) % 19.44/19.64 (step @p160 :rule cong :premises (@p159) :args (@t178)) % 19.44/19.64 (step @p161 :rule trans :premises (@p160 @p153)) % 19.44/19.64 (step @p162 :rule true_elim :premises (@p161)) % 19.44/19.64 (step @p163 :rule refl :args (@t109)) % 19.44/19.64 (step @p164 :rule cong :premises (@p163 @p105) :args (@t110)) % 19.44/19.64 (step @p165 :rule and_elim :premises (@p46) :args (2)) % 19.44/19.64 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 19.44/19.64 (step @p167 :rule eq-symm :args (@t140 @t109)) % 19.44/19.64 (step @p168 :rule cong :premises (@p167) :args ((not (= @t140 @t109)))) % 19.44/19.64 (step @p169 :rule cong :premises (@p105 @p163) :args (@t179)) % 19.44/19.64 (step @p170 :rule cong :premises (@p169) :args ((not @t179))) % 19.44/19.64 (step @p171 :rule trans :premises (@p170 @p168)) % 19.44/19.64 (step @p172 :rule eq-symm :args (@t109 @t73)) % 19.44/19.64 (step @p173 :rule cong :premises (@p172) :args (@t114)) % 19.44/19.64 (step @p174 :rule trans :premises (@p173 @p171)) % 19.44/19.64 (step @p175 :rule and_elim :premises (@p46) :args (0)) % 19.44/19.64 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 19.44/19.64 (step @p177 :rule cnf_or_pos :args (@t185)) % 19.44/19.64 (step @p178 :rule reordering :premises (@p177) :args ((or @t183 @t182 @t176 @t184 @t180 (not @t185)))) % 19.44/19.64 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p166 @p92 @p162 @p75) :args (@t180 (@list true false false false false) (@list @t183 @t181 @t148 @t178 @t185))) % 19.44/19.64 (step @p180 :rule refl :args (@t186)) % 19.44/19.64 (step @p181 :rule refl :args (@t187)) % 19.44/19.64 (step @p182 :rule refl :args (@t16)) % 19.44/19.64 (step @p183 :rule cong :premises (@p182 @p105) :args (@t74)) % 19.44/19.64 (step @p184 :rule cong :premises (@p183) :args (@t188)) % 19.44/19.64 (step @p185 :rule refl :args (@t192)) % 19.44/19.64 (step @p186 :rule refl :args (@t202)) % 19.44/19.64 (step @p187 :rule refl :args (@t203)) % 19.44/19.64 (step @p188 :rule refl :args (@t135)) % 19.44/19.64 (step @p189 :rule nary_cong :premises (@p95 @p188 @p187 @p186 @p185 @p184 @p181 @p180) :args (@t204)) % 19.44/19.64 (step @p190 :rule cong :premises (@p189) :args (@t205)) % 19.44/19.64 (step @p191 :rule quant-merge-prenex :args ((= (forall @t19 @t207) @t205))) % 19.44/19.64 (step @p192 :rule refl :args (@t186)) % 19.44/19.64 (step @p193 :rule refl :args (@t187)) % 19.44/19.64 (step @p194 :rule refl :args (@t188)) % 19.44/19.64 (step @p195 :rule quant-unused-vars :args ((= @t208 @t189))) % 19.44/19.64 (step @p196 :rule alpha_equiv :args (@t209 (@list @t190) (@list @t58))) % 19.44/19.64 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t210)) % 19.44/19.64 (step @p198 :rule quant-miniscope-and :args ((= @t211 @t210))) % 19.44/19.64 (step @p199 :rule trans :premises (@p198 @p197)) % 19.44/19.64 (step @p200 :rule refl :args (@t202)) % 19.44/19.64 (step @p201 :rule refl :args (@t203)) % 19.44/19.64 (step @p202 :rule refl :args (@t135)) % 19.44/19.64 (step @p203 :rule refl :args (@t136)) % 19.44/19.64 (step @p204 :rule nary_cong :premises (@p203 @p202 @p201 @p200 @p199 @p194 @p193 @p192) :args (@t212)) % 19.44/19.64 (step @p205 :rule quant-miniscope-or :args ((= @t207 @t212))) % 19.44/19.64 (step @p206 :rule trans :premises (@p205 @p204)) % 19.44/19.64 (step @p207 :rule symm :premises (@p206)) % 19.44/19.64 (step @p208 :rule cong :premises (@p207) :args ((forall @t19 @t215))) % 19.44/19.64 (step @p209 :rule trans :premises (@p208 @p191)) % 19.44/19.64 (step @p210 :rule aci_norm :args ((= (or @t217 @t216) @t215))) % 19.44/19.64 (step @p211 :rule aci_norm :args ((= (or (or @t202 @t214) @t218) @t216))) % 19.44/19.64 (step @p212 :rule aci_norm :args ((= (or @t188 @t219) @t218))) % 19.44/19.64 (step @p213 :rule bool-impl-elim :args (@t74 @t219)) % 19.44/19.64 (step @p214 :rule trans :premises (@p213 @p212)) % 19.44/19.64 (step @p215 :rule refl :args (@t189)) % 19.44/19.64 (step @p216 :rule bool-double-not-elim :args (@t213)) % 19.44/19.64 (step @p217 :rule nary_cong :premises (@p216 @p215) :args ((and (not @t220) @t189))) % 19.44/19.64 (step @p218 :rule bool-or-de-morgan :args (@t220 @t76 false)) % 19.44/19.64 (step @p219 :rule trans :premises (@p218 @p217)) % 19.44/19.64 (step @p220 :rule refl :args (@t193)) % 19.44/19.64 (step @p221 :rule refl :args (@t199)) % 19.44/19.64 (step @p222 :rule bool-double-not-elim :args (@t200)) % 19.44/19.64 (step @p223 :rule bool-double-not-elim :args (@t201)) % 19.44/19.64 (step @p224 :rule nary_cong :premises (@p223 @p222 @p221) :args (@t225)) % 19.44/19.64 (step @p225 :rule aci_norm :args ((= (or @t224 (or @t222 @t199)) @t225))) % 19.44/19.64 (step @p226 :rule trans :premises (@p225 @p224)) % 19.44/19.64 (step @p227 :rule bool-and-de-morgan :args (@t221 @t198 true)) % 19.44/19.64 (step @p228 :rule refl :args (@t224)) % 19.44/19.64 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t224 (not (and @t221 @t198))))) % 19.44/19.64 (step @p230 :rule bool-and-de-morgan :args (@t223 @t221 (and @t198))) % 19.44/19.64 (step @p231 :rule trans :premises (@p230 @p229)) % 19.44/19.64 (step @p232 :rule trans :premises (@p231 @p226)) % 19.44/19.64 (step @p233 :rule nary_cong :premises (@p232 @p220) :args ((and (not @t226) @t193))) % 19.44/19.64 (step @p234 :rule bool-or-de-morgan :args (@t226 @t81 false)) % 19.44/19.64 (step @p235 :rule trans :premises (@p234 @p233)) % 19.44/19.64 (step @p236 :rule nary_cong :premises (@p235 @p219) :args ((or (not @t228) (not @t227)))) % 19.44/19.64 (step @p237 :rule bool-and-de-morgan :args (@t228 @t227 true)) % 19.44/19.64 (step @p238 :rule trans :premises (@p237 @p236)) % 19.44/19.64 (step @p239 :rule nary_cong :premises (@p238 @p214) :args ((or (not @t230) @t229))) % 19.44/19.64 (step @p240 :rule trans :premises (@p239 @p211)) % 19.44/19.64 (step @p241 :rule bool-impl-elim :args (@t230 @t229)) % 19.44/19.64 (step @p242 :rule trans :premises (@p241 @p240)) % 19.44/19.64 (step @p243 :rule aci_norm :args ((= (or @t136 (or @t135 @t203)) @t217))) % 19.44/19.64 (step @p244 :rule bool-and-de-morgan :args (@t8 @t17 true)) % 19.44/19.64 (step @p245 :rule nary_cong :premises (@p203 @p244) :args ((or @t136 (not @t28)))) % 19.44/19.64 (step @p246 :rule bool-and-de-morgan :args (@t2 @t8 (and @t17))) % 19.44/19.64 (step @p247 :rule trans :premises (@p246 @p245)) % 19.44/19.64 (step @p248 :rule trans :premises (@p247 @p243)) % 19.44/19.64 (step @p249 :rule nary_cong :premises (@p248 @p242) :args ((or (not @t18) @t231))) % 19.44/19.64 (step @p250 :rule trans :premises (@p249 @p210)) % 19.44/19.64 (step @p251 :rule bool-impl-elim :args (@t18 @t231)) % 19.44/19.64 (step @p252 :rule trans :premises (@p251 @p250)) % 19.44/19.64 (step @p253 :rule cong :premises (@p252) :args ((forall @t19 (=> @t18 @t231)))) % 19.44/19.64 (step @p254 :rule trans :premises (@p253 @p209)) % 19.44/19.64 (step @p255 :rule refl :args (@t57)) % 19.44/19.64 (step @p256 :rule bool-and-de-morgan :args (@t61 @t60 true)) % 19.44/19.64 (step @p257 :rule cong :premises (@p256) :args (@t232)) % 19.44/19.64 (step @p258 :rule cong :premises (@p257) :args (@t233)) % 19.44/19.64 (step @p259 :rule exists-elim :args ((= @t64 @t233))) % 19.44/19.64 (step @p260 :rule trans :premises (@p259 @p258)) % 19.44/19.64 (step @p261 :rule nary_cong :premises (@p260 @p255) :args (@t65)) % 19.44/19.64 (step @p262 :rule refl :args (@t66)) % 19.44/19.64 (step @p263 :rule bool-and-de-morgan :args (@t61 @t67 true)) % 19.44/19.64 (step @p264 :rule cong :premises (@p263) :args (@t234)) % 19.44/19.64 (step @p265 :rule cong :premises (@p264) :args (@t235)) % 19.44/19.64 (step @p266 :rule exists-elim :args ((= @t69 @t235))) % 19.44/19.64 (step @p267 :rule trans :premises (@p266 @p265)) % 19.44/19.64 (step @p268 :rule nary_cong :premises (@p267 @p262) :args (@t70)) % 19.44/19.64 (step @p269 :rule nary_cong :premises (@p268 @p261) :args (@t71)) % 19.44/19.64 (step @p270 :rule refl :args (@t74)) % 19.44/19.64 (step @p271 :rule cong :premises (@p270 @p269) :args (@t75)) % 19.44/19.64 (step @p272 :rule refl :args (@t76)) % 19.44/19.64 (step @p273 :rule bool-and-de-morgan :args (@t61 @t77 true)) % 19.44/19.64 (step @p274 :rule cong :premises (@p273) :args (@t236)) % 19.44/19.64 (step @p275 :rule cong :premises (@p274) :args (@t237)) % 19.44/19.64 (step @p276 :rule exists-elim :args ((= @t79 @t237))) % 19.44/19.64 (step @p277 :rule trans :premises (@p276 @p275)) % 19.44/19.64 (step @p278 :rule nary_cong :premises (@p277 @p272) :args (@t80)) % 19.44/19.64 (step @p279 :rule refl :args (@t81)) % 19.44/19.64 (step @p280 :rule aci_norm :args ((= @t239 @t197))) % 19.44/19.64 (step @p281 :rule cong :premises (@p280) :args (@t240)) % 19.44/19.64 (step @p282 :rule quant-merge-prenex :args ((= (forall @t63 @t242) @t240))) % 19.44/19.64 (step @p283 :rule refl :args (@t195)) % 19.44/19.64 (step @p284 :rule refl :args (@t128)) % 19.44/19.64 (step @p285 :rule refl :args (@t196)) % 19.44/19.64 (step @p286 :rule alpha_equiv :args (@t243 (@list @t125) (@list @t84))) % 19.44/19.64 (step @p287 :rule refl :args (@t129)) % 19.44/19.64 (step @p288 :rule nary_cong :premises (@p287 @p286 @p285 @p284 @p283) :args (@t244)) % 19.44/19.64 (step @p289 :rule quant-miniscope-or :args ((= @t242 @t244))) % 19.44/19.64 (step @p290 :rule trans :premises (@p289 @p288)) % 19.44/19.64 (step @p291 :rule symm :premises (@p290)) % 19.44/19.64 (step @p292 :rule cong :premises (@p291) :args ((forall @t63 @t246))) % 19.44/19.64 (step @p293 :rule trans :premises (@p292 @p282)) % 19.44/19.64 (step @p294 :rule trans :premises (@p293 @p281)) % 19.44/19.64 (step @p295 :rule aci_norm :args ((= (or (or @t129 @t245 @t196) @t247) @t246))) % 19.44/19.64 (step @p296 :rule refl :args (@t247)) % 19.44/19.64 (step @p297 :rule bool-double-not-elim :args (@t245)) % 19.44/19.64 (step @p298 :rule nary_cong :premises (@p287 @p297 @p285) :args (@t250)) % 19.44/19.64 (step @p299 :rule aci_norm :args ((= (or @t129 (or @t249 @t196)) @t250))) % 19.44/19.64 (step @p300 :rule trans :premises (@p299 @p298)) % 19.44/19.64 (step @p301 :rule bool-and-de-morgan :args (@t248 @t83 true)) % 19.44/19.64 (step @p302 :rule nary_cong :premises (@p287 @p301) :args ((or @t129 (not (and @t248 @t83))))) % 19.44/19.64 (step @p303 :rule bool-and-de-morgan :args (@t61 @t248 (and @t83))) % 19.44/19.64 (step @p304 :rule trans :premises (@p303 @p302)) % 19.44/19.64 (step @p305 :rule trans :premises (@p304 @p300)) % 19.44/19.64 (step @p306 :rule nary_cong :premises (@p305 @p296) :args ((or (not @t251) @t247))) % 19.44/19.64 (step @p307 :rule trans :premises (@p306 @p295)) % 19.44/19.64 (step @p308 :rule bool-impl-elim :args (@t251 @t247)) % 19.44/19.64 (step @p309 :rule trans :premises (@p308 @p307)) % 19.44/19.64 (step @p310 :rule cong :premises (@p309) :args ((forall @t63 (=> @t251 @t247)))) % 19.44/19.64 (step @p311 :rule trans :premises (@p310 @p294)) % 19.44/19.64 (step @p312 :rule eq-symm :args (@t58 @t14)) % 19.44/19.64 (step @p313 :rule eq-symm :args (@t58 tptp.sz10)) % 19.44/19.64 (step @p314 :rule nary_cong :premises (@p313 @p312) :args (@t82)) % 19.44/19.64 (step @p315 :rule refl :args (@t83)) % 19.44/19.64 (step @p316 :rule bool-and-de-morgan :args (@t86 @t85 true)) % 19.44/19.64 (step @p317 :rule cong :premises (@p316) :args (@t252)) % 19.44/19.64 (step @p318 :rule cong :premises (@p317) :args (@t253)) % 19.44/19.64 (step @p319 :rule exists-elim :args ((= @t89 @t253))) % 19.44/19.64 (step @p320 :rule trans :premises (@p319 @p318)) % 19.44/19.64 (step @p321 :rule refl :args (@t61)) % 19.44/19.64 (step @p322 :rule nary_cong :premises (@p321 @p320 @p315) :args (@t90)) % 19.44/19.64 (step @p323 :rule cong :premises (@p322 @p314) :args (@t91)) % 19.44/19.64 (step @p324 :rule cong :premises (@p323) :args (@t92)) % 19.44/19.64 (step @p325 :rule trans :premises (@p324 @p311)) % 19.44/19.64 (step @p326 :rule eq-symm :args (@t14 tptp.sz10)) % 19.44/19.64 (step @p327 :rule cong :premises (@p326) :args (@t93)) % 19.44/19.64 (step @p328 :rule eq-symm :args (@t14 tptp.sz00)) % 19.44/19.64 (step @p329 :rule cong :premises (@p328) :args (@t94)) % 19.44/19.64 (step @p330 :rule nary_cong :premises (@p329 @p327 @p325) :args (@t95)) % 19.44/19.64 (step @p331 :rule nary_cong :premises (@p330 @p279) :args (@t96)) % 19.44/19.64 (step @p332 :rule nary_cong :premises (@p331 @p278) :args (@t97)) % 19.44/19.64 (step @p333 :rule cong :premises (@p332 @p271) :args (@t98)) % 19.44/19.64 (step @p334 :rule refl :args (@t18)) % 19.44/19.64 (step @p335 :rule cong :premises (@p334 @p333) :args (@t99)) % 19.44/19.64 (step @p336 :rule cong :premises (@p335) :args (@t100)) % 19.44/19.64 (step @p337 :rule trans :premises (@p336 @p254)) % 19.44/19.64 (step @p338 :rule trans :premises (@p337 @p190)) % 19.44/19.64 (step @p339 :rule eq_resolve :premises (@p40 @p338)) % 19.44/19.64 (step @p340 :rule instantiate :premises (@p339) :args ((@list tptp.xr tptp.xm tptp.xp tptp.sz10))) % 19.44/19.64 (step @p341 :rule refl :args (@t115)) % 19.44/19.64 (step @p342 :rule bool-and-de-morgan :args (@t2 @t116 true)) % 19.44/19.64 (step @p343 :rule cong :premises (@p342) :args (@t254)) % 19.44/19.64 (step @p344 :rule cong :premises (@p343) :args (@t255)) % 19.44/19.64 (step @p345 :rule exists-elim :args ((= @t118 @t255))) % 19.44/19.64 (step @p346 :rule trans :premises (@p345 @p344)) % 19.44/19.64 (step @p347 :rule refl :args (@t119)) % 19.44/19.64 (step @p348 :rule bool-and-de-morgan :args (@t2 @t256 true)) % 19.44/19.64 (step @p349 :rule cong :premises (@p348) :args (@t258)) % 19.44/19.64 (step @p350 :rule cong :premises (@p349) :args (@t259)) % 19.44/19.64 (step @p351 :rule exists-elim :args ((= (exists @t3 @t257) @t259))) % 19.44/19.64 (step @p352 :rule trans :premises (@p351 @p350)) % 19.44/19.64 (step @p353 :rule eq-symm :args (tptp.xr @t102)) % 19.44/19.64 (step @p354 :rule nary_cong :premises (@p118 @p353) :args (@t120)) % 19.44/19.64 (step @p355 :rule cong :premises (@p354) :args (@t121)) % 19.44/19.64 (step @p356 :rule trans :premises (@p355 @p352)) % 19.44/19.64 (step @p357 :rule nary_cong :premises (@p356 @p347 @p346 @p341) :args (@t122)) % 19.44/19.64 (step @p358 :rule cong :premises (@p357) :args (@t123)) % 19.44/19.64 (step @p359 :rule eq_resolve :premises (@p47 @p358)) % 19.44/19.64 (step @p360 :rule not_or_elim :premises (@p359) :args (3)) % 19.44/19.64 (step @p361 :rule cnf_and_pos :args (@t261 1)) % 19.44/19.64 (step @p362 :rule reordering :premises (@p361) :args ((or @t115 @t262))) % 19.44/19.64 (step @p363 :rule chain_m_resolution :premises (@p362 @p360) :args (@t262 @t173 (@list @t115))) % 19.44/19.64 (step @p364 :rule and_elim :premises (@p45) :args (1)) % 19.44/19.64 (step @p365 :rule cnf_and_pos :args (@t264 1)) % 19.44/19.64 (step @p366 :rule reordering :premises (@p365) :args ((or @t263 @t265))) % 19.44/19.64 (step @p367 :rule chain_m_resolution :premises (@p366 @p364) :args (@t265 @t133 (@list @t107))) % 19.44/19.64 (step @p368 :rule not_or_elim :premises (@p359) :args (1)) % 19.44/19.64 (step @p369 :rule cnf_and_pos :args (@t266 1)) % 19.44/19.64 (step @p370 :rule reordering :premises (@p369) :args ((or @t119 @t267))) % 19.44/19.64 (step @p371 :rule chain_m_resolution :premises (@p370 @p368) :args (@t267 @t173 (@list @t119))) % 19.44/19.64 (step @p372 :rule cnf_or_pos :args (@t269)) % 19.44/19.64 (step @p373 :rule reordering :premises (@p372) :args ((or @t144 @t149 @t145 @t131 @t268 @t264 @t266 @t261 (not @t269)))) % 19.44/19.64 (step @p374 false :rule chain_m_resolution :premises (@p373 @p371 @p367 @p363 @p340 @p179 @p55 @p51 @p50 @p49) :args (false (@list true true true false false true false false false) (@list @t266 @t264 @t261 @t269 @t180 @t131 @t105 @t55 @t56))) % 19.44/19.64 ) % 19.44/19.64 % SZS output end Proof % 19.44/19.64 % cvc5 exiting %------------------------------------------------------------------------------