%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM476+2 : 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 : n011.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 08:39:32 AM UTC 2026 % Result : Theorem 0.47s 0.65s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM476+2 : 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 % 0.16/0.34 % Computer : n011.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 11:22:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.65 % SZS status Theorem % 0.47/0.65 % SZS output start Proof % 0.47/0.65 ( % 0.47/0.65 (declare-sort $$unsorted 0) % 0.47/0.65 (declare-const tptp.xm $$unsorted) % 0.47/0.65 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.xn $$unsorted) % 0.47/0.65 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.xl $$unsorted) % 0.47/0.65 (declare-const tptp.sz10 $$unsorted) % 0.47/0.65 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.sz00 $$unsorted) % 0.47/0.65 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.47/0.65 (define @t1 () (@var "W0" $$unsorted)) % 0.47/0.65 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.47/0.65 (define @t3 () (@list @t1)) % 0.47/0.65 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 0.47/0.65 (define @t5 () (@var "W1" $$unsorted)) % 0.47/0.65 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.47/0.65 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.47/0.65 (define @t8 () (and @t2 @t7)) % 0.47/0.65 (define @t9 () (@list @t1 @t5)) % 0.47/0.65 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.47/0.65 (define @t11 () (tptp.sdtpldt0 @t5 @t1)) % 0.47/0.65 (define @t12 () (= @t6 @t11)) % 0.47/0.65 (define @t13 () (forall @t9 (=> @t8 @t12))) % 0.47/0.65 (define @t14 () (@var "W2" $$unsorted)) % 0.47/0.65 (define @t15 () (tptp.sdtpldt0 @t5 @t14)) % 0.47/0.65 (define @t16 () (tptp.aNaturalNumber0 @t14)) % 0.47/0.65 (define @t17 () (and @t2 @t7 @t16)) % 0.47/0.65 (define @t18 () (@list @t1 @t5 @t14)) % 0.47/0.65 (define @t19 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 0.47/0.65 (define @t20 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 0.47/0.65 (define @t21 () (and (= @t20 @t1) @t19)) % 0.47/0.65 (define @t22 () (=> @t2 @t21)) % 0.47/0.65 (define @t23 () (forall @t3 @t22)) % 0.47/0.65 (define @t24 () (tptp.sdtasdt0 @t5 @t1)) % 0.47/0.65 (define @t25 () (= @t10 @t24)) % 0.47/0.65 (define @t26 () (forall @t9 (=> @t8 @t25))) % 0.47/0.65 (define @t27 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 0.47/0.65 (define @t28 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 0.47/0.65 (define @t29 () (and (= @t28 tptp.sz00) @t27)) % 0.47/0.65 (define @t30 () (=> @t2 @t29)) % 0.47/0.65 (define @t31 () (forall @t3 @t30)) % 0.47/0.65 (define @t32 () (tptp.sdtasdt0 @t14 @t1)) % 0.47/0.65 (define @t33 () (tptp.sdtasdt0 @t1 @t14)) % 0.47/0.65 (define @t34 () (= @t5 @t14)) % 0.47/0.65 (define @t35 () (tptp.sdtpldt0 @t14 @t1)) % 0.47/0.65 (define @t36 () (tptp.sdtpldt0 @t1 @t14)) % 0.47/0.65 (define @t37 () (= @t24 @t32)) % 0.47/0.65 (define @t38 () (= @t10 @t33)) % 0.47/0.65 (define @t39 () (= @t1 tptp.sz00)) % 0.47/0.65 (define @t40 () (not @t39)) % 0.47/0.65 (define @t41 () (= @t5 tptp.sz00)) % 0.47/0.65 (define @t42 () (= @t36 @t5)) % 0.47/0.65 (define @t43 () (and @t16 @t42)) % 0.47/0.65 (define @t44 () (@list @t14)) % 0.47/0.65 (define @t45 () (exists @t44 @t43)) % 0.47/0.65 (define @t46 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.47/0.65 (define @t47 () (tptp.sdtmndt0 @t5 @t1)) % 0.47/0.65 (define @t48 () (= @t14 @t47)) % 0.47/0.65 (define @t49 () (= @t1 @t5)) % 0.47/0.65 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.47/0.65 (define @t51 () (tptp.sdtlseqdt0 @t5 @t14)) % 0.47/0.65 (define @t52 () (tptp.sdtpldt0 @t14 @t5)) % 0.47/0.65 (define @t53 () (and (not @t49) @t46)) % 0.47/0.65 (define @t54 () (tptp.iLess0 @t1 @t5)) % 0.47/0.65 (define @t55 () (and @t16 (= @t5 @t33))) % 0.47/0.65 (define @t56 () (tptp.doDivides0 @t1 @t5)) % 0.47/0.65 (define @t57 () (tptp.doDivides0 @t1 @t14)) % 0.47/0.65 (define @t58 () (tptp.aNaturalNumber0 tptp.xn)) % 0.47/0.65 (define @t59 () (tptp.aNaturalNumber0 tptp.xm)) % 0.47/0.65 (define @t60 () (tptp.aNaturalNumber0 tptp.xl)) % 0.47/0.65 (define @t61 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 0.47/0.65 (define @t62 () (tptp.sdtasdt0 tptp.xl @t1)) % 0.47/0.65 (define @t63 () (and @t2 (= @t61 @t62))) % 0.47/0.65 (define @t64 () (exists @t3 @t63)) % 0.47/0.65 (define @t65 () (= tptp.xm @t62)) % 0.47/0.65 (define @t66 () (and @t2 @t65)) % 0.47/0.65 (define @t67 () (exists @t3 @t66)) % 0.47/0.65 (define @t68 () (tptp.doDivides0 tptp.xl tptp.xn)) % 0.47/0.65 (define @t69 () (= tptp.xn @t62)) % 0.47/0.65 (define @t70 () (and @t2 @t69)) % 0.47/0.65 (define @t71 () (exists @t3 @t70)) % 0.47/0.65 (define @t72 () (or @t71 @t68)) % 0.47/0.65 (define @t73 () (tptp.sdtasdt0 tptp.xl @t14)) % 0.47/0.65 (define @t74 () (= tptp.xn @t73)) % 0.47/0.65 (define @t75 () (tptp.sdtpldt0 @t62 tptp.xn)) % 0.47/0.65 (define @t76 () (= (tptp.sdtpldt0 @t62 @t73) @t75)) % 0.47/0.65 (define @t77 () (and @t16 @t42 @t48 @t76 @t74)) % 0.47/0.65 (define @t78 () (exists @t44 @t77)) % 0.47/0.65 (define @t79 () (tptp.sdtsldt0 @t61 tptp.xl)) % 0.47/0.65 (define @t80 () (= @t5 @t79)) % 0.47/0.65 (define @t81 () (= @t61 (tptp.sdtasdt0 tptp.xl @t5))) % 0.47/0.65 (define @t82 () (and @t7 @t81 @t80 @t45 @t46 @t78)) % 0.47/0.65 (define @t83 () (@list @t5)) % 0.47/0.65 (define @t84 () (exists @t83 @t82)) % 0.47/0.65 (define @t85 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 0.47/0.65 (define @t86 () (= @t1 @t85)) % 0.47/0.65 (define @t87 () (and @t2 @t65 @t86 @t84)) % 0.47/0.65 (define @t88 () (exists @t3 @t87)) % 0.47/0.65 (define @t89 () (not (= tptp.xl tptp.sz00))) % 0.47/0.65 (define @t90 () (=> @t89 @t88)) % 0.47/0.65 (define @t91 () (=> @t90 @t72)) % 0.47/0.65 (define @t92 () (not @t91)) % 0.47/0.65 (define @t93 () (forall @t3 (not @t66))) % 0.47/0.65 (define @t94 () (not @t93)) % 0.47/0.65 (define @t95 () (not @t65)) % 0.47/0.65 (define @t96 () (not @t2)) % 0.47/0.65 (define @t97 () (@quantifiers_skolemize (forall @t3 (or @t96 @t95)) 0)) % 0.47/0.65 (define @t98 () (tptp.sdtasdt0 tptp.xl @t97)) % 0.47/0.65 (define @t99 () (= tptp.xm @t98)) % 0.47/0.65 (define @t100 () (not @t99)) % 0.47/0.65 (define @t101 () (tptp.aNaturalNumber0 @t97)) % 0.47/0.65 (define @t102 () (not @t101)) % 0.47/0.65 (define @t103 () (or @t102 @t100)) % 0.47/0.65 (define @t104 () (@list true)) % 0.47/0.65 (define @t105 () (@list @t103)) % 0.47/0.65 (define @t106 () (= @t62 @t61)) % 0.47/0.65 (define @t107 () (and @t2 @t106)) % 0.47/0.65 (define @t108 () (forall @t3 (not @t107))) % 0.47/0.65 (define @t109 () (not @t108)) % 0.47/0.65 (define @t110 () (forall @t3 (or @t96 (not @t106)))) % 0.47/0.65 (define @t111 () (@quantifiers_skolemize @t110 0)) % 0.47/0.65 (define @t112 () (tptp.sdtasdt0 tptp.xl @t111)) % 0.47/0.65 (define @t113 () (= @t61 @t112)) % 0.47/0.65 (define @t114 () (not @t113)) % 0.47/0.65 (define @t115 () (tptp.aNaturalNumber0 @t111)) % 0.47/0.65 (define @t116 () (not @t115)) % 0.47/0.65 (define @t117 () (or @t116 @t114)) % 0.47/0.65 (define @t118 () (not @t117)) % 0.47/0.65 (define @t119 () (not @t110)) % 0.47/0.65 (define @t120 () (not (= @t112 @t61))) % 0.47/0.65 (define @t121 () (or @t116 @t120)) % 0.47/0.65 (define @t122 () (not @t121)) % 0.47/0.65 (define @t123 () (@list @t117)) % 0.47/0.65 (define @t124 () (not @t7)) % 0.47/0.65 (define @t125 () (or @t96 @t124)) % 0.47/0.65 (define @t126 () (not @t8)) % 0.47/0.65 (define @t127 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 0.47/0.65 (define @t128 () (= @t61 @t127)) % 0.47/0.65 (define @t129 () (not @t58)) % 0.47/0.65 (define @t130 () (not @t59)) % 0.47/0.65 (define @t131 () (or @t130 @t129 @t128)) % 0.47/0.65 (define @t132 () (@list false false false)) % 0.47/0.65 (define @t133 () (@list @t59 @t58 @t131)) % 0.47/0.65 (define @t134 () (and (= @t1 @t20) @t19)) % 0.47/0.65 (define @t135 () (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00))) % 0.47/0.65 (define @t136 () (and @t135 @t135)) % 0.47/0.65 (define @t137 () (not @t4)) % 0.47/0.65 (define @t138 () (or @t137 @t136)) % 0.47/0.65 (define @t139 () (forall @t3 (or @t96 @t134))) % 0.47/0.65 (define @t140 () (@list tptp.sz00)) % 0.47/0.65 (define @t141 () (or @t137 @t135)) % 0.47/0.65 (define @t142 () (@list false)) % 0.47/0.65 (define @t143 () (@list false false)) % 0.47/0.65 (define @t144 () (tptp.sdtasdt0 @t97 tptp.xl)) % 0.47/0.65 (define @t145 () (= @t98 @t144)) % 0.47/0.65 (define @t146 () (not @t60)) % 0.47/0.65 (define @t147 () (or @t146 @t102 @t145)) % 0.47/0.65 (define @t148 () (= @t112 (tptp.sdtasdt0 @t111 tptp.xl))) % 0.47/0.65 (define @t149 () (or @t146 @t116 @t148)) % 0.47/0.65 (define @t150 () (forall @t3 (not @t70))) % 0.47/0.65 (define @t151 () (not @t150)) % 0.47/0.65 (define @t152 () (@var "BOUND_VARIABLE_8105" $$unsorted)) % 0.47/0.65 (define @t153 () (not (= @t79 (tptp.sdtpldt0 @t85 @t152)))) % 0.47/0.65 (define @t154 () (not (tptp.aNaturalNumber0 @t152))) % 0.47/0.65 (define @t155 () (or @t154 @t153)) % 0.47/0.65 (define @t156 () (@list @t152)) % 0.47/0.65 (define @t157 () (forall @t156 @t155)) % 0.47/0.65 (define @t158 () (tptp.sdtmndt0 @t79 @t85)) % 0.47/0.65 (define @t159 () (tptp.sdtasdt0 tptp.xl @t158)) % 0.47/0.65 (define @t160 () (= tptp.xn @t159)) % 0.47/0.65 (define @t161 () (not @t160)) % 0.47/0.65 (define @t162 () (tptp.sdtasdt0 tptp.xl @t85)) % 0.47/0.65 (define @t163 () (not (= (tptp.sdtpldt0 @t162 tptp.xn) (tptp.sdtpldt0 @t162 @t159)))) % 0.47/0.65 (define @t164 () (not (= @t79 (tptp.sdtpldt0 @t85 @t158)))) % 0.47/0.65 (define @t165 () (tptp.aNaturalNumber0 @t158)) % 0.47/0.65 (define @t166 () (not @t165)) % 0.47/0.65 (define @t167 () (not (tptp.sdtlseqdt0 @t85 @t79))) % 0.47/0.65 (define @t168 () (not (= tptp.xm @t162))) % 0.47/0.65 (define @t169 () (not (tptp.aNaturalNumber0 @t85))) % 0.47/0.65 (define @t170 () (not (= @t61 (tptp.sdtasdt0 tptp.xl @t79)))) % 0.47/0.65 (define @t171 () (not (tptp.aNaturalNumber0 @t79))) % 0.47/0.65 (define @t172 () (or @t171 @t170 @t169 @t168 @t167 @t166 @t164 @t163 @t161 @t157)) % 0.47/0.65 (define @t173 () (or @t169 @t168 @t167 @t166 @t164 @t163 @t161 @t157)) % 0.47/0.65 (define @t174 () (or @t169 @t168 @t167 @t166 @t164 @t163 @t161 @t155)) % 0.47/0.65 (define @t175 () (or @t169 @t168 @t167 @t166 @t164 @t163 @t161 @t154 @t153)) % 0.47/0.65 (define @t176 () (not (= @t85 @t85))) % 0.47/0.65 (define @t177 () (or @t169 @t168 @t176 @t167 @t166 @t164 @t163 @t161 @t154 @t153)) % 0.47/0.65 (define @t178 () (not (= @t79 (tptp.sdtpldt0 @t1 @t152)))) % 0.47/0.65 (define @t179 () (tptp.sdtmndt0 @t79 @t1)) % 0.47/0.65 (define @t180 () (tptp.sdtasdt0 tptp.xl @t179)) % 0.47/0.65 (define @t181 () (not (= tptp.xn @t180))) % 0.47/0.65 (define @t182 () (not (= @t75 (tptp.sdtpldt0 @t62 @t180)))) % 0.47/0.65 (define @t183 () (not (= @t79 (tptp.sdtpldt0 @t1 @t179)))) % 0.47/0.65 (define @t184 () (not (tptp.aNaturalNumber0 @t179))) % 0.47/0.65 (define @t185 () (not (tptp.sdtlseqdt0 @t1 @t79))) % 0.47/0.65 (define @t186 () (not @t86)) % 0.47/0.65 (define @t187 () (or @t186 @t96 @t95 @t186 @t185 @t184 @t183 @t182 @t181 @t154 @t178)) % 0.47/0.65 (define @t188 () (or @t96 @t95 @t186 @t185 @t184 @t183 @t182 @t181 @t154 @t178)) % 0.47/0.65 (define @t189 () (forall @t3 @t188)) % 0.47/0.65 (define @t190 () (forall @t156 @t189)) % 0.47/0.65 (define @t191 () (forall (@list @t152 @t1) @t188)) % 0.47/0.65 (define @t192 () (@list @t1 @t152)) % 0.47/0.65 (define @t193 () (or @t154 @t178)) % 0.47/0.65 (define @t194 () (or @t96 @t95 @t186 @t185 @t184 @t183 @t182 @t181 @t193)) % 0.47/0.65 (define @t195 () (forall @t192 @t194)) % 0.47/0.65 (define @t196 () (forall @t156 @t194)) % 0.47/0.65 (define @t197 () (forall @t156 @t193)) % 0.47/0.65 (define @t198 () (@var "BOUND_VARIABLE_8048" $$unsorted)) % 0.47/0.65 (define @t199 () (@list @t198)) % 0.47/0.65 (define @t200 () (or @t96 @t95 @t186 @t185 @t184 @t183 @t182 @t181 @t197)) % 0.47/0.65 (define @t201 () (tptp.sdtpldt0 @t1 @t198)) % 0.47/0.65 (define @t202 () (not (= @t79 @t201))) % 0.47/0.65 (define @t203 () (not (tptp.aNaturalNumber0 @t198))) % 0.47/0.65 (define @t204 () (or @t203 @t202)) % 0.47/0.65 (define @t205 () (@list @t198)) % 0.47/0.65 (define @t206 () (forall @t205 @t204)) % 0.47/0.65 (define @t207 () (or @t96 @t95 @t186 @t185 @t184 @t183 @t182 @t181 @t206)) % 0.47/0.65 (define @t208 () (forall @t3 @t207)) % 0.47/0.65 (define @t209 () (or @t171 @t170 @t208)) % 0.47/0.65 (define @t210 () (or @t171 @t170 @t207)) % 0.47/0.65 (define @t211 () (or @t96 @t95 @t186 @t171 @t170 @t185 @t184 @t183 @t182 @t181 @t206)) % 0.47/0.65 (define @t212 () (or @t171 @t170 @t185 @t184 @t183 @t182 @t181 @t206)) % 0.47/0.65 (define @t213 () (not @t212)) % 0.47/0.65 (define @t214 () (not @t213)) % 0.47/0.65 (define @t215 () (or @t96 @t95 @t186 @t214)) % 0.47/0.65 (define @t216 () (and @t2 @t65 @t86 @t213)) % 0.47/0.65 (define @t217 () (forall @t3 (not @t216))) % 0.47/0.65 (define @t218 () (not @t217)) % 0.47/0.65 (define @t219 () (or @t171 @t170 @t185 @t184 @t183 @t182 @t181 @t204)) % 0.47/0.65 (define @t220 () (or @t171 @t170 @t185 @t184 @t183 @t182 @t181 @t203 @t202)) % 0.47/0.65 (define @t221 () (not (= @t79 @t79))) % 0.47/0.65 (define @t222 () (or @t171 @t170 @t221 @t185 @t184 @t183 @t182 @t181 @t203 @t202)) % 0.47/0.65 (define @t223 () (not (= @t5 @t201))) % 0.47/0.65 (define @t224 () (tptp.sdtasdt0 tptp.xl @t47)) % 0.47/0.65 (define @t225 () (not (= tptp.xn @t224))) % 0.47/0.65 (define @t226 () (tptp.sdtpldt0 @t62 @t224)) % 0.47/0.65 (define @t227 () (not (= @t75 @t226))) % 0.47/0.65 (define @t228 () (not (= @t5 (tptp.sdtpldt0 @t1 @t47)))) % 0.47/0.65 (define @t229 () (not (tptp.aNaturalNumber0 @t47))) % 0.47/0.65 (define @t230 () (not @t46)) % 0.47/0.65 (define @t231 () (not @t80)) % 0.47/0.65 (define @t232 () (not @t81)) % 0.47/0.65 (define @t233 () (or @t231 @t124 @t232 @t231 @t230 @t229 @t228 @t227 @t225 @t203 @t223)) % 0.47/0.65 (define @t234 () (or @t124 @t232 @t231 @t230 @t229 @t228 @t227 @t225 @t203 @t223)) % 0.47/0.65 (define @t235 () (forall @t83 @t234)) % 0.47/0.65 (define @t236 () (forall @t205 @t235)) % 0.47/0.65 (define @t237 () (forall (@list @t198 @t5) @t234)) % 0.47/0.65 (define @t238 () (@list @t5 @t198)) % 0.47/0.65 (define @t239 () (or @t203 @t223)) % 0.47/0.65 (define @t240 () (or @t124 @t232 @t231 @t239 @t230 @t229 @t228 @t227 @t225)) % 0.47/0.65 (define @t241 () (forall @t238 @t240)) % 0.47/0.65 (define @t242 () (forall @t205 @t240)) % 0.47/0.65 (define @t243 () (forall @t205 @t239)) % 0.47/0.65 (define @t244 () (or @t124 @t232 @t231 @t243 @t230 @t229 @t228 @t227 @t225)) % 0.47/0.65 (define @t245 () (= @t5 @t36)) % 0.47/0.65 (define @t246 () (not @t245)) % 0.47/0.65 (define @t247 () (not @t16)) % 0.47/0.65 (define @t248 () (forall @t44 (or @t247 @t246))) % 0.47/0.65 (define @t249 () (or @t124 @t232 @t231 @t248 @t230 @t229 @t228 @t227 @t225)) % 0.47/0.65 (define @t250 () (or @t229 @t228 @t227 @t225)) % 0.47/0.65 (define @t251 () (not @t250)) % 0.47/0.65 (define @t252 () (not @t251)) % 0.47/0.65 (define @t253 () (not @t248)) % 0.47/0.65 (define @t254 () (not @t253)) % 0.47/0.65 (define @t255 () (or @t124 @t232 @t231 @t254 @t230 @t252)) % 0.47/0.65 (define @t256 () (and @t7 @t81 @t80 @t253 @t46 @t251)) % 0.47/0.65 (define @t257 () (forall @t83 (not @t256))) % 0.47/0.65 (define @t258 () (not @t257)) % 0.47/0.65 (define @t259 () (not (= @t226 @t75))) % 0.47/0.65 (define @t260 () (not (= @t47 @t47))) % 0.47/0.65 (define @t261 () (or @t229 @t228 @t260 @t259 @t225)) % 0.47/0.65 (define @t262 () (not @t74)) % 0.47/0.65 (define @t263 () (not @t76)) % 0.47/0.65 (define @t264 () (not @t48)) % 0.47/0.65 (define @t265 () (or @t264 @t247 @t246 @t264 @t263 @t262)) % 0.47/0.65 (define @t266 () (or @t247 @t246 @t264 @t263 @t262)) % 0.47/0.65 (define @t267 () (and @t16 @t245 @t48 @t76 @t74)) % 0.47/0.65 (define @t268 () (forall @t44 (not @t267))) % 0.47/0.65 (define @t269 () (not @t268)) % 0.47/0.65 (define @t270 () (and @t16 @t245)) % 0.47/0.65 (define @t271 () (forall @t44 (not @t270))) % 0.47/0.65 (define @t272 () (not @t271)) % 0.47/0.65 (define @t273 () (tptp.sdtasdt0 tptp.xl tptp.sz00)) % 0.47/0.65 (define @t274 () (= tptp.xn @t273)) % 0.47/0.65 (define @t275 () (not @t274)) % 0.47/0.65 (define @t276 () (or @t137 @t275)) % 0.47/0.65 (define @t277 () (= tptp.xn (tptp.sdtpldt0 tptp.xn tptp.sz00))) % 0.47/0.65 (define @t278 () (and @t277 (= tptp.xn (tptp.sdtpldt0 tptp.sz00 tptp.xn)))) % 0.47/0.65 (define @t279 () (or @t129 @t278)) % 0.47/0.65 (define @t280 () (and (= tptp.sz00 @t28) @t27)) % 0.47/0.65 (define @t281 () (= tptp.sz00 @t273)) % 0.47/0.65 (define @t282 () (and @t281 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xl)))) % 0.47/0.65 (define @t283 () (or @t146 @t282)) % 0.47/0.65 (define @t284 () (= tptp.sz00 (tptp.sdtasdt0 @t97 tptp.sz00))) % 0.47/0.65 (define @t285 () (and @t284 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t97)))) % 0.47/0.65 (define @t286 () (or @t102 @t285)) % 0.47/0.65 (define @t287 () (tptp.sdtasdt0 @t111 tptp.sz00)) % 0.47/0.65 (define @t288 () (= tptp.sz00 @t287)) % 0.47/0.65 (define @t289 () (and @t288 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t111)))) % 0.47/0.65 (define @t290 () (or @t116 @t289)) % 0.47/0.65 (define @t291 () (@list @t289)) % 0.47/0.65 (define @t292 () (or @t166 @t161)) % 0.47/0.65 (define @t293 () (not @t172)) % 0.47/0.65 (define @t294 () (= tptp.sz00 tptp.xl)) % 0.47/0.65 (define @t295 () (not @t294)) % 0.47/0.65 (define @t296 () (not @t288)) % 0.47/0.65 (define @t297 () (not @t284)) % 0.47/0.65 (define @t298 () (not @t281)) % 0.47/0.65 (define @t299 () (not @t148)) % 0.47/0.65 (define @t300 () (not @t145)) % 0.47/0.65 (define @t301 () (not @t277)) % 0.47/0.65 (define @t302 () (not @t135)) % 0.47/0.65 (define @t303 () (not @t128)) % 0.47/0.65 (define @t304 () (= tptp.sz00 tptp.xn)) % 0.47/0.65 (define @t305 () (and @t135 @t304 @t281 @t275)) % 0.47/0.65 (assume @p1 (forall @t3 (=> @t2 true))) % 0.47/0.65 (assume @p2 @t4) % 0.47/0.65 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.47/0.65 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 0.47/0.65 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t10)))) % 0.47/0.65 (assume @p6 @t13) % 0.47/0.65 (assume @p7 (forall @t18 (=> @t17 (= (tptp.sdtpldt0 @t6 @t14) (tptp.sdtpldt0 @t1 @t15))))) % 0.47/0.65 (assume @p8 @t23) % 0.47/0.65 (assume @p9 @t26) % 0.47/0.65 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t10 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t14)))))) % 0.47/0.65 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.47/0.65 (assume @p12 @t31) % 0.47/0.65 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t10 @t33)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t24 @t32)))))) % 0.47/0.65 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t6 @t36) (= @t11 @t35)) @t34)))) % 0.47/0.65 (assume @p15 (forall @t3 (=> @t2 (=> @t40 (forall (@list @t5 @t14) (=> (and @t7 @t16) (=> (or @t38 @t37) @t34))))))) % 0.47/0.65 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t39 @t41))))) % 0.47/0.65 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t39 @t41))))) % 0.47/0.65 (assume @p18 (forall @t9 (=> @t8 (= @t46 @t45)))) % 0.47/0.65 (assume @p19 (forall @t9 (=> @t8 (=> @t46 (forall @t44 (= @t48 @t43)))))) % 0.47/0.65 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.47/0.65 (assume @p21 (forall @t9 (=> @t8 (=> (and @t46 @t50) @t49)))) % 0.47/0.65 (assume @p22 (forall @t18 (=> @t17 (=> (and @t46 @t51) (tptp.sdtlseqdt0 @t1 @t14))))) % 0.47/0.65 (assume @p23 (forall @t9 (=> @t8 (or @t46 (and (not (= @t5 @t1)) @t50))))) % 0.47/0.65 (assume @p24 (forall @t9 (=> @t8 (=> @t53 (forall @t44 (=> @t16 (and (not (= @t35 @t52)) (tptp.sdtlseqdt0 @t35 @t52) (not (= @t36 @t15)) (tptp.sdtlseqdt0 @t36 @t15)))))))) % 0.47/0.65 (assume @p25 (forall @t18 (=> @t17 (=> (and @t40 (not @t34) @t51) (and (not @t38) (tptp.sdtlseqdt0 @t10 @t33) (not @t37) (tptp.sdtlseqdt0 @t24 @t32)))))) % 0.47/0.65 (assume @p26 (forall @t3 (=> @t2 (or @t39 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.47/0.65 (assume @p27 (forall @t9 (=> @t8 (=> @t40 (tptp.sdtlseqdt0 @t5 @t24))))) % 0.47/0.65 (assume @p28 (forall @t9 (=> @t8 (=> @t54 true)))) % 0.47/0.65 (assume @p29 (forall @t9 (=> @t8 (=> @t53 @t54)))) % 0.47/0.65 (assume @p30 (forall @t9 (=> @t8 (= @t56 (exists @t44 @t55))))) % 0.47/0.65 (assume @p31 (forall @t9 (=> @t8 (=> (and @t40 @t56) (forall @t44 (= (= @t14 (tptp.sdtsldt0 @t5 @t1)) @t55)))))) % 0.47/0.65 (assume @p32 (forall @t18 (=> @t17 (=> (and @t56 (tptp.doDivides0 @t5 @t14)) @t57)))) % 0.47/0.65 (assume @p33 (forall @t18 (=> @t17 (=> (and @t56 @t57) (tptp.doDivides0 @t1 @t15))))) % 0.47/0.65 (assume @p34 (and @t60 @t59 @t58)) % 0.47/0.65 (assume @p35 (and @t67 (tptp.doDivides0 tptp.xl tptp.xm) @t64 (tptp.doDivides0 tptp.xl @t61))) % 0.47/0.65 (assume @p36 @t92) % 0.47/0.65 (assume @p37 true) % 0.47/0.65 (step @p38 :rule bool-and-de-morgan :args (@t2 @t65 true)) % 0.47/0.65 (step @p39 :rule cong :premises (@p38) :args (@t93)) % 0.47/0.65 (step @p40 :rule cong :premises (@p39) :args (@t94)) % 0.47/0.65 (step @p41 :rule exists-elim :args ((= @t67 @t94))) % 0.47/0.65 (step @p42 :rule trans :premises (@p41 @p40)) % 0.47/0.65 (step @p43 :rule and_elim :premises (@p35) :args (0)) % 0.47/0.65 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.47/0.65 (step @p45 :rule skolemize :premises (@p44)) % 0.47/0.65 (step @p46 :rule bool-double-not-elim :args (@t99)) % 0.47/0.65 (step @p47 :rule refl :args (@t103)) % 0.47/0.65 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t103 (not @t100)))) % 0.47/0.65 (step @p49 :rule cnf_or_neg :args (@t103 1)) % 0.47/0.65 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.47/0.65 (step @p51 :rule reordering :premises (@p50) :args ((or @t99 @t103))) % 0.47/0.65 (step @p52 :rule chain_m_resolution :premises (@p51 @p45) :args (@t99 @t104 @t105)) % 0.47/0.65 (step @p53 :rule bool-and-de-morgan :args (@t2 @t106 true)) % 0.47/0.65 (step @p54 :rule cong :premises (@p53) :args (@t108)) % 0.47/0.65 (step @p55 :rule cong :premises (@p54) :args (@t109)) % 0.47/0.65 (step @p56 :rule exists-elim :args ((= (exists @t3 @t107) @t109))) % 0.47/0.65 (step @p57 :rule trans :premises (@p56 @p55)) % 0.47/0.65 (step @p58 :rule eq-symm :args (@t61 @t62)) % 0.47/0.65 (step @p59 :rule refl :args (@t2)) % 0.47/0.65 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t63)) % 0.47/0.65 (step @p61 :rule cong :premises (@p60) :args (@t64)) % 0.47/0.65 (step @p62 :rule trans :premises (@p61 @p57)) % 0.47/0.65 (step @p63 :rule and_elim :premises (@p35) :args (2)) % 0.47/0.65 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.47/0.65 (step @p65 :rule refl :args (@t118)) % 0.47/0.65 (step @p66 :rule bool-double-not-elim :args (@t110)) % 0.47/0.65 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t119) @t118))) % 0.47/0.65 (step @p68 :rule eq-symm :args (@t112 @t61)) % 0.47/0.65 (step @p69 :rule cong :premises (@p68) :args (@t120)) % 0.47/0.65 (step @p70 :rule refl :args (@t116)) % 0.47/0.65 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t121)) % 0.47/0.65 (step @p72 :rule cong :premises (@p71) :args (@t122)) % 0.47/0.65 (step @p73 :rule refl :args (@t119)) % 0.47/0.65 (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t119 @t122))) % 0.47/0.65 (assume-push @p539 @t119) % 0.47/0.65 (step @p76 :rule skolemize :premises (@p64)) % 0.47/0.65 (step-pop @p540 :rule scope :premises (@p76)) % 0.47/0.65 (step @p77 :rule process_scope :premises (@p540) :args (@t122)) % 0.47/0.65 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 0.47/0.65 (step @p80 :rule implies_elim :premises (@p79)) % 0.47/0.65 (step @p81 :rule eq_resolve :premises (@p80 @p67)) % 0.47/0.65 (step @p82 :rule chain_m_resolution :premises (@p81 @p64) :args (@t118 @t104 (@list @t110))) % 0.47/0.65 (step @p83 :rule bool-double-not-elim :args (@t113)) % 0.47/0.65 (step @p84 :rule refl :args (@t117)) % 0.47/0.65 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t117 (not @t114)))) % 0.47/0.65 (step @p86 :rule cnf_or_neg :args (@t117 1)) % 0.47/0.65 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.47/0.65 (step @p88 :rule reordering :premises (@p87) :args ((or @t113 @t117))) % 0.47/0.65 (step @p89 :rule chain_m_resolution :premises (@p88 @p82) :args (@t113 @t104 @t123)) % 0.47/0.65 (step @p90 :rule aci_norm :args ((= (or @t125 @t12) (or @t96 @t124 @t12)))) % 0.47/0.65 (step @p91 :rule refl :args (@t12)) % 0.47/0.65 (step @p92 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.47/0.65 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t126 @t12))) % 0.47/0.65 (step @p94 :rule trans :premises (@p93 @p90)) % 0.47/0.65 (step @p95 :rule bool-impl-elim :args (@t8 @t12)) % 0.47/0.65 (step @p96 :rule trans :premises (@p95 @p94)) % 0.47/0.65 (step @p97 :rule cong :premises (@p96) :args (@t13)) % 0.47/0.65 (step @p98 :rule eq_resolve :premises (@p6 @p97)) % 0.47/0.65 (step @p99 :rule instantiate :premises (@p98) :args ((@list tptp.xm tptp.xn))) % 0.47/0.65 (step @p100 :rule and_elim :premises (@p34) :args (2)) % 0.47/0.65 (step @p101 :rule and_elim :premises (@p34) :args (1)) % 0.47/0.65 (step @p102 :rule cnf_or_pos :args (@t131)) % 0.47/0.65 (step @p103 :rule reordering :premises (@p102) :args ((or @t130 @t129 @t128 (not @t131)))) % 0.47/0.65 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p100 @p99) :args (@t128 @t132 @t133)) % 0.47/0.65 (step @p105 :rule bool-impl-elim :args (@t2 @t134)) % 0.47/0.65 (step @p106 :rule cong :premises (@p105) :args ((forall @t3 (=> @t2 @t134)))) % 0.47/0.65 (step @p107 :rule refl :args (@t19)) % 0.47/0.65 (step @p108 :rule eq-symm :args (@t20 @t1)) % 0.47/0.65 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t21)) % 0.47/0.65 (step @p110 :rule cong :premises (@p59 @p109) :args (@t22)) % 0.47/0.65 (step @p111 :rule cong :premises (@p110) :args (@t23)) % 0.47/0.65 (step @p112 :rule trans :premises (@p111 @p106)) % 0.47/0.65 (step @p113 :rule eq_resolve :premises (@p8 @p112)) % 0.47/0.65 (step @p114 :rule aci_norm :args ((= @t136 @t135))) % 0.47/0.65 (step @p115 :rule refl :args (@t137)) % 0.47/0.65 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t138)) % 0.47/0.65 (step @p117 :rule refl :args (@t139)) % 0.47/0.65 (step @p118 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:rule nary_cong :premises (@p362 @p361) :args (@t43)) % 0.47/0.65 (step @p373 :rule cong :premises (@p372) :args (@t45)) % 0.47/0.65 (step @p374 :rule trans :premises (@p373 @p371)) % 0.47/0.65 (step @p375 :rule refl :args (@t80)) % 0.47/0.65 (step @p376 :rule refl :args (@t81)) % 0.47/0.65 (step @p377 :rule refl :args (@t7)) % 0.47/0.65 (step @p378 :rule nary_cong :premises (@p377 @p376 @p375 @p374 @p366 @p365) :args (@t82)) % 0.47/0.65 (step @p379 :rule cong :premises (@p378) :args (@t84)) % 0.47/0.65 (step @p380 :rule trans :premises (@p379 @p321)) % 0.47/0.65 (step @p381 :rule refl :args (@t86)) % 0.47/0.65 (step @p382 :rule refl :args (@t65)) % 0.47/0.65 (step @p383 :rule nary_cong :premises (@p59 @p382 @p381 @p380) :args (@t87)) % 0.47/0.65 (step @p384 :rule cong :premises (@p383) :args (@t88)) % 0.47/0.65 (step @p385 :rule trans :premises (@p384 @p245)) % 0.47/0.65 (step @p386 :rule eq-symm :args (tptp.xl tptp.sz00)) % 0.47/0.65 (step @p387 :rule cong :premises (@p386) :args (@t89)) % 0.47/0.65 (step @p388 :rule cong :premises (@p387 @p385) :args (@t90)) % 0.47/0.65 (step @p389 :rule cong :premises (@p388 @p164) :args (@t91)) % 0.47/0.65 (step @p390 :rule cong :premises (@p389) :args (@t92)) % 0.47/0.65 (step @p391 :rule eq_resolve :premises (@p36 @p390)) % 0.47/0.65 (step @p392 :rule not_implies_elim2 :premises (@p391)) % 0.47/0.65 (step @p393 :rule not_or_elim :premises (@p392) :args (0)) % 0.47/0.65 (step @p394 :rule not_not_elim :premises (@p393)) % 0.47/0.65 (step @p395 :rule instantiate :premises (@p394) :args (@t140)) % 0.47/0.65 (step @p396 :rule cnf_or_pos :args (@t276)) % 0.47/0.65 (step @p397 :rule reordering :premises (@p396) :args ((or @t137 @t275 (not @t276)))) % 0.47/0.65 (step @p398 :rule chain_m_resolution :premises (@p397 @p2 @p395) :args (@t275 @t143 (@list @t4 @t276))) % 0.47/0.65 (step @p399 :rule instantiate :premises (@p113) :args ((@list tptp.xn))) % 0.47/0.65 (step @p400 :rule cnf_or_pos :args (@t279)) % 0.47/0.65 (step @p401 :rule reordering :premises (@p400) :args ((or @t129 @t278 (not @t279)))) % 0.47/0.65 (step @p402 :rule chain_m_resolution :premises (@p401 @p100 @p399) :args (@t278 @t143 (@list @t58 @t279))) % 0.47/0.65 (step @p403 :rule cnf_and_pos :args (@t278 0)) % 0.47/0.65 (step @p404 :rule reordering :premises (@p403) :args ((or @t277 (not @t278)))) % 0.47/0.65 (step @p405 :rule chain_m_resolution :premises (@p404 @p402) :args (@t277 @t142 (@list @t278))) % 0.47/0.65 (step @p406 :rule bool-impl-elim :args (@t2 @t280)) % 0.47/0.65 (step @p407 :rule cong :premises (@p406) :args ((forall @t3 (=> @t2 @t280)))) % 0.47/0.65 (step @p408 :rule refl :args (@t27)) % 0.47/0.65 (step @p409 :rule eq-symm :args (@t28 tptp.sz00)) % 0.47/0.65 (step @p410 :rule nary_cong :premises (@p409 @p408) :args (@t29)) % 0.47/0.65 (step @p411 :rule cong :premises (@p59 @p410) :args (@t30)) % 0.47/0.65 (step @p412 :rule cong :premises (@p411) :args (@t31)) % 0.47/0.65 (step @p413 :rule trans :premises (@p412 @p407)) % 0.47/0.65 (step @p414 :rule eq_resolve :premises (@p12 @p413)) % 0.47/0.65 (step @p415 :rule instantiate :premises (@p414) :args ((@list tptp.xl))) % 0.47/0.65 (step @p416 :rule cnf_or_pos :args (@t283)) % 0.47/0.65 (step @p417 :rule reordering :premises (@p416) :args ((or @t146 @t282 (not @t283)))) % 0.47/0.65 (step @p418 :rule chain_m_resolution :premises (@p417 @p144 @p415) :args (@t282 @t143 (@list @t60 @t283))) % 0.47/0.65 (step @p419 :rule cnf_and_pos :args (@t282 0)) % 0.47/0.65 (step @p420 :rule reordering :premises (@p419) :args ((or @t281 (not @t282)))) % 0.47/0.65 (step @p421 :rule chain_m_resolution :premises (@p420 @p418) :args (@t281 @t142 (@list @t282))) % 0.47/0.65 (step @p422 :rule instantiate :premises (@p414) :args ((@list @t97))) % 0.47/0.65 (step @p423 :rule cnf_or_pos :args (@t286)) % 0.47/0.65 (step @p424 :rule reordering :premises (@p423) :args ((or @t102 @t285 (not @t286)))) % 0.47/0.65 (step @p425 :rule chain_m_resolution :premises (@p424 @p143 @p422) :args (@t285 @t143 (@list @t101 @t286))) % 0.47/0.65 (step @p426 :rule cnf_and_pos :args (@t285 0)) % 0.47/0.65 (step @p427 :rule reordering :premises (@p426) :args ((or @t284 (not @t285)))) % 0.47/0.65 (step @p428 :rule chain_m_resolution :premises (@p427 @p425) :args (@t284 @t142 (@list @t285))) % 0.47/0.65 (step @p429 :rule instantiate :premises (@p414) :args ((@list @t111))) % 0.47/0.65 (step @p430 :rule cnf_or_pos :args (@t290)) % 0.47/0.65 (step @p431 :rule reordering :premises (@p430) :args ((or @t116 @t289 (not @t290)))) % 0.47/0.65 (step @p432 :rule chain_m_resolution :premises (@p431 @p154 @p429) :args (@t289 @t143 (@list @t115 @t290))) % 0.47/0.65 (step @p433 :rule cnf_and_pos :args (@t289 0)) % 0.47/0.65 (step @p434 :rule reordering :premises (@p433) :args ((or @t288 (not @t289)))) % 0.47/0.65 (step @p435 :rule chain_m_resolution :premises (@p434 @p432) :args (@t288 @t142 @t291)) % 0.47/0.65 (step @p436 :rule bool-double-not-elim :args (@t165)) % 0.47/0.65 (step @p437 :rule refl :args (@t172)) % 0.47/0.65 (step @p438 :rule nary_cong :premises (@p437 @p436) :args ((or @t172 (not @t166)))) % 0.47/0.65 (step @p439 :rule cnf_or_neg :args (@t172 5)) % 0.47/0.65 (step @p440 :rule eq_resolve :premises (@p439 @p438)) % 0.47/0.65 (step @p441 :rule reordering :premises (@p440) :args ((or @t165 @t172))) % 0.47/0.65 (step @p442 :rule bool-double-not-elim :args (@t160)) % 0.47/0.65 (step @p443 :rule nary_cong :premises (@p437 @p442) :args ((or @t172 (not @t161)))) % 0.47/0.65 (step @p444 :rule cnf_or_neg :args (@t172 8)) % 0.47/0.65 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 0.47/0.65 (step @p446 :rule reordering :premises (@p445) :args ((or @t160 @t172))) % 0.47/0.65 (step @p447 :rule instantiate :premises (@p394) :args ((@list @t158))) % 0.47/0.65 (step @p448 :rule cnf_or_pos :args (@t292)) % 0.47/0.65 (step @p449 :rule reordering :premises (@p448) :args ((or @t166 @t161 (not @t292)))) % 0.47/0.65 (step @p450 :rule chain_m_resolution :premises (@p449 @p447 @p446 @p441) :args (@t172 @t132 (@list @t292 @t160 @t165))) % 0.47/0.65 (step @p451 :rule refl :args (@t293)) % 0.47/0.65 (step @p452 :rule bool-double-not-elim :args (@t294)) % 0.47/0.65 (step @p453 :rule nary_cong :premises (@p452 @p451) :args ((or (not @t295) @t293))) % 0.47/0.65 (step @p454 :rule not_implies_elim1 :premises (@p391)) % 0.47/0.65 (step @p455 :rule implies_elim :premises (@p454)) % 0.47/0.65 (step @p456 :rule eq_resolve :premises (@p455 @p453)) % 0.47/0.65 (step @p457 :rule chain_m_resolution :premises (@p456 @p450) :args (@t294 @t142 (@list @t172))) % 0.47/0.65 (step @p458 :rule bool-double-not-elim :args (@t274)) % 0.47/0.65 (step @p459 :rule refl :args (@t296)) % 0.47/0.65 (step @p460 :rule refl :args (@t297)) % 0.47/0.65 (step @p461 :rule refl :args (@t298)) % 0.47/0.65 (step @p462 :rule refl :args (@t299)) % 0.47/0.65 (step @p463 :rule refl :args (@t300)) % 0.47/0.65 (step @p464 :rule refl :args (@t301)) % 0.47/0.65 (step @p465 :rule refl :args (@t302)) % 0.47/0.65 (step @p466 :rule refl :args (@t303)) % 0.47/0.65 (step @p467 :rule refl :args (@t114)) % 0.47/0.65 (step @p468 :rule refl :args (@t100)) % 0.47/0.65 (step @p469 :rule refl :args (@t295)) % 0.47/0.65 (step @p470 :rule nary_cong :premises (@p469 @p468 @p467 @p466 @p465 @p464 @p463 @p462 @p461 @p460 @p459 @p458) :args ((or @t295 @t100 @t114 @t303 @t302 @t301 @t300 @t299 @t298 @t297 @t296 (not @t275)))) % 0.47/0.65 (assume-push @p543 @t135) % 0.47/0.65 (assume-push @p544 @t304) % 0.47/0.65 (assume-push @p545 @t281) % 0.47/0.65 (assume-push @p546 @t275) % 0.47/0.65 (step @p475 :rule evaluate :args ((= false true))) % 0.47/0.65 (step @p476 :rule symm :premises (@p421)) % 0.47/0.65 (step @p477 :rule trans :premises (@p476 @p128)) % 0.47/0.65 (step @p478 :rule symm :premises (@p477)) % 0.47/0.65 (step @p479 :rule symm :premises (@p405)) % 0.47/0.65 (step @p480 :rule symm :premises (@p428)) % 0.47/0.65 (step @p481 :rule symm :premises (@p457)) % 0.47/0.65 (step @p482 :rule refl :args (@t97)) % 0.47/0.65 (step @p483 :rule cong :premises (@p482 @p481) :args (@t144)) % 0.47/0.65 (step @p484 :rule trans :premises (@p52 @p147 @p483 @p480)) % 0.47/0.65 (step @p485 :rule refl :args (tptp.xn)) % 0.47/0.65 (step @p486 :rule cong :premises (@p485 @p484) :args (@t127)) % 0.47/0.65 (step @p487 :rule chain_m_resolution :premises (@p103 @p101 @p100 @p99) :args (@t128 @t132 @t133)) % 0.47/0.65 (step @p488 :rule symm :premises (@p89)) % 0.47/0.65 (step @p489 :rule symm :premises (@p157)) % 0.47/0.65 (step @p490 :rule refl :args (@t111)) % 0.47/0.65 (step @p491 :rule cong :premises (@p490 @p457) :args (@t287)) % 0.47/0.65 (step @p492 :rule chain_m_resolution :premises (@p434 @p432) :args (@t288 @t142 @t291)) % 0.47/0.65 (step @p493 :rule trans :premises (@p492 @p491 @p489 @p488 @p487 @p486 @p479)) % 0.47/0.65 (step @p494 :rule symm :premises (@p493)) % 0.47/0.65 (step @p495 :rule trans :premises (@p494 @p128 @p478)) % 0.47/0.65 (step @p496 :rule true_intro :premises (@p495)) % 0.47/0.65 (step @p497 :rule false_intro :premises (@p398)) % 0.47/0.65 (step @p498 :rule symm :premises (@p497)) % 0.47/0.65 (step @p499 :rule trans :premises (@p498 @p496)) % 0.47/0.65 (step @p500 false :rule eq_resolve :premises (@p499 @p475)) % 0.47/0.65 (step-pop @p547 :rule scope :premises (@p500)) % 0.47/0.65 (step-pop @p548 :rule scope :premises (@p547)) % 0.47/0.65 (step-pop @p549 :rule scope :premises (@p548)) % 0.47/0.65 (step-pop @p550 :rule scope :premises (@p549)) % 0.47/0.65 (step @p501 :rule process_scope :premises (@p550) :args (false)) % 0.47/0.65 (assume-push @p551 @t294) % 0.47/0.65 (assume-push @p552 @t99) % 0.47/0.65 (assume-push @p553 @t113) % 0.47/0.65 (assume-push @p554 @t128) % 0.47/0.65 (assume-push @p555 @t135) % 0.47/0.65 (assume-push @p556 @t277) % 0.47/0.65 (assume-push @p557 @t145) % 0.47/0.65 (assume-push @p558 @t148) % 0.47/0.65 (assume-push @p559 @t281) % 0.47/0.65 (assume-push @p560 @t284) % 0.47/0.65 (assume-push @p561 @t288) % 0.47/0.65 (assume-push @p562 @t275) % 0.47/0.65 (step @p479 :rule symm :premises (@p405)) % 0.47/0.65 (step @p480 :rule symm :premises (@p428)) % 0.47/0.65 (step @p481 :rule symm :premises (@p457)) % 0.47/0.65 (step @p482 :rule refl :args (@t97)) % 0.47/0.65 (step @p483 :rule cong :premises (@p482 @p481) :args (@t144)) % 0.47/0.65 (step @p484 :rule trans :premises (@p52 @p147 @p483 @p480)) % 0.47/0.65 (step @p485 :rule refl :args (tptp.xn)) % 0.47/0.65 (step @p486 :rule cong :premises (@p485 @p484) :args (@t127)) % 0.47/0.65 (step @p488 :rule symm :premises (@p89)) % 0.47/0.65 (step @p489 :rule symm :premises (@p157)) % 0.47/0.65 (step @p490 :rule refl :args (@t111)) % 0.47/0.65 (step @p491 :rule cong :premises (@p490 @p457) :args (@t287)) % 0.47/0.65 (step @p518 :rule trans :premises (@p435 @p491 @p489 @p488 @p104 @p486 @p479)) % 0.47/0.65 (step @p519 :rule and_intro :premises (@p128 @p518 @p421 @p398)) % 0.47/0.65 (step-pop @p563 :rule scope :premises (@p519)) % 0.47/0.65 (step-pop @p564 :rule scope :premises (@p563)) % 0.47/0.65 (step-pop @p565 :rule scope :premises (@p564)) % 0.47/0.65 (step-pop @p566 :rule scope :premises (@p565)) % 0.47/0.65 (step-pop @p567 :rule scope :premises (@p566)) % 0.47/0.65 (step-pop @p568 :rule scope :premises (@p567)) % 0.47/0.65 (step-pop @p569 :rule scope :premises (@p568)) % 0.47/0.65 (step-pop @p570 :rule scope :premises (@p569)) % 0.47/0.65 (step-pop @p571 :rule scope :premises (@p570)) % 0.47/0.65 (step-pop @p572 :rule scope :premises (@p571)) % 0.47/0.65 (step-pop @p573 :rule scope :premises (@p572)) % 0.47/0.65 (step-pop @p574 :rule scope :premises (@p573)) % 0.47/0.65 (step @p520 :rule process_scope :premises (@p574) :args (@t305)) % 0.47/0.65 (step @p533 :rule implies_elim :premises (@p520)) % 0.47/0.65 (step @p534 :rule resolution :premises (@p533 @p501) :args (true @t305)) % 0.47/0.65 (step @p535 :rule not_and :premises (@p534)) % 0.47/0.65 (step @p536 :rule eq_resolve :premises (@p535 @p470)) % 0.47/0.65 (step @p537 :rule reordering :premises (@p536) :args ((or @t295 @t100 @t114 @t274 @t303 @t302 @t301 @t300 @t299 @t298 @t297 @t296))) % 0.47/0.65 (step @p538 false :rule chain_m_resolution :premises (@p537 @p457 @p435 @p428 @p421 @p405 @p398 @p157 @p147 @p128 @p104 @p89 @p52) :args (false (@list false false false false false true false false false false false false) (@list @t294 @t288 @t284 @t281 @t277 @t274 @t148 @t145 @t135 @t128 @t113 @t99))) % 0.47/0.65 ) % 0.47/0.65 % SZS output end Proof % 0.47/0.65 % cvc5 exiting %------------------------------------------------------------------------------