%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM498+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:37 AM UTC 2026 % Result : Theorem 0.45s 0.67s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM498+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.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 11:25:28 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.67 % SZS status Theorem % 0.45/0.67 % SZS output start Proof % 0.45/0.67 ( % 0.45/0.67 (declare-sort $$unsorted 0) % 0.45/0.67 (declare-const tptp.xk $$unsorted) % 0.45/0.67 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.xm $$unsorted) % 0.45/0.67 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.xn $$unsorted) % 0.45/0.67 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.sz00 $$unsorted) % 0.45/0.67 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.sz10 $$unsorted) % 0.45/0.67 (declare-const tptp.xp $$unsorted) % 0.45/0.67 (define @t1 () (@var "W0" $$unsorted)) % 0.45/0.67 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.45/0.67 (define @t3 () (@list @t1)) % 0.45/0.67 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 0.45/0.67 (define @t5 () (@var "W1" $$unsorted)) % 0.45/0.67 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.45/0.67 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.45/0.67 (define @t8 () (and @t2 @t7)) % 0.45/0.67 (define @t9 () (@list @t1 @t5)) % 0.45/0.67 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.45/0.67 (define @t11 () (tptp.sdtpldt0 @t5 @t1)) % 0.45/0.67 (define @t12 () (@var "W2" $$unsorted)) % 0.45/0.67 (define @t13 () (tptp.sdtpldt0 @t5 @t12)) % 0.45/0.67 (define @t14 () (tptp.sdtpldt0 @t6 @t12)) % 0.45/0.67 (define @t15 () (tptp.aNaturalNumber0 @t12)) % 0.45/0.67 (define @t16 () (and @t2 @t7 @t15)) % 0.45/0.67 (define @t17 () (@list @t1 @t5 @t12)) % 0.45/0.67 (define @t18 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 0.45/0.67 (define @t19 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 0.45/0.67 (define @t20 () (and (= @t19 @t1) @t18)) % 0.45/0.67 (define @t21 () (=> @t2 @t20)) % 0.45/0.67 (define @t22 () (forall @t3 @t21)) % 0.45/0.67 (define @t23 () (tptp.sdtasdt0 @t5 @t1)) % 0.45/0.67 (define @t24 () (= @t10 @t23)) % 0.45/0.67 (define @t25 () (forall @t9 (=> @t8 @t24))) % 0.45/0.67 (define @t26 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 0.45/0.67 (define @t27 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 0.45/0.67 (define @t28 () (and (= @t27 @t1) @t26)) % 0.45/0.67 (define @t29 () (=> @t2 @t28)) % 0.45/0.67 (define @t30 () (forall @t3 @t29)) % 0.45/0.67 (define @t31 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 0.45/0.67 (define @t32 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 0.45/0.67 (define @t33 () (and (= @t32 tptp.sz00) @t31)) % 0.45/0.67 (define @t34 () (=> @t2 @t33)) % 0.45/0.67 (define @t35 () (forall @t3 @t34)) % 0.45/0.67 (define @t36 () (tptp.sdtasdt0 @t12 @t1)) % 0.45/0.67 (define @t37 () (tptp.sdtasdt0 @t1 @t12)) % 0.45/0.67 (define @t38 () (= @t5 @t12)) % 0.45/0.67 (define @t39 () (tptp.sdtpldt0 @t12 @t1)) % 0.45/0.67 (define @t40 () (tptp.sdtpldt0 @t1 @t12)) % 0.45/0.67 (define @t41 () (= @t23 @t36)) % 0.45/0.67 (define @t42 () (= @t10 @t37)) % 0.45/0.67 (define @t43 () (= @t1 tptp.sz00)) % 0.45/0.67 (define @t44 () (not @t43)) % 0.45/0.67 (define @t45 () (= @t5 tptp.sz00)) % 0.45/0.67 (define @t46 () (or @t43 @t45)) % 0.45/0.67 (define @t47 () (=> (= @t10 tptp.sz00) @t46)) % 0.45/0.67 (define @t48 () (=> @t8 @t47)) % 0.45/0.67 (define @t49 () (forall @t9 @t48)) % 0.45/0.67 (define @t50 () (and @t15 (= @t40 @t5))) % 0.45/0.67 (define @t51 () (@list @t12)) % 0.45/0.67 (define @t52 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.45/0.67 (define @t53 () (= @t1 @t5)) % 0.45/0.67 (define @t54 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.45/0.67 (define @t55 () (tptp.sdtlseqdt0 @t5 @t12)) % 0.45/0.67 (define @t56 () (= @t5 @t1)) % 0.45/0.67 (define @t57 () (tptp.sdtpldt0 @t12 @t5)) % 0.45/0.67 (define @t58 () (and (not @t53) @t52)) % 0.45/0.67 (define @t59 () (= @t1 tptp.sz10)) % 0.45/0.67 (define @t60 () (tptp.iLess0 @t1 @t5)) % 0.45/0.67 (define @t61 () (and @t15 (= @t5 @t37))) % 0.45/0.67 (define @t62 () (tptp.doDivides0 @t1 @t5)) % 0.45/0.67 (define @t63 () (tptp.sdtsldt0 @t5 @t1)) % 0.45/0.67 (define @t64 () (and @t44 @t62)) % 0.45/0.67 (define @t65 () (tptp.doDivides0 @t1 @t12)) % 0.45/0.67 (define @t66 () (tptp.doDivides0 @t1 @t13)) % 0.45/0.67 (define @t67 () (tptp.doDivides0 @t5 @t1)) % 0.45/0.67 (define @t68 () (@list @t5)) % 0.45/0.67 (define @t69 () (not @t59)) % 0.45/0.67 (define @t70 () (tptp.aNaturalNumber0 tptp.xp)) % 0.45/0.67 (define @t71 () (tptp.aNaturalNumber0 tptp.xm)) % 0.45/0.67 (define @t72 () (tptp.aNaturalNumber0 tptp.xn)) % 0.45/0.67 (define @t73 () (@var "W3" $$unsorted)) % 0.45/0.67 (define @t74 () (tptp.sdtasdt0 @t12 @t73)) % 0.45/0.67 (define @t75 () (tptp.aNaturalNumber0 @t73)) % 0.45/0.67 (define @t76 () (@list @t73)) % 0.45/0.67 (define @t77 () (@var "W4" $$unsorted)) % 0.45/0.67 (define @t78 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 0.45/0.67 (define @t79 () (tptp.sdtasdt0 tptp.xp @t1)) % 0.45/0.67 (define @t80 () (= @t78 @t79)) % 0.45/0.67 (define @t81 () (and @t2 @t80)) % 0.45/0.67 (define @t82 () (exists @t3 @t81)) % 0.45/0.67 (define @t83 () (= @t1 tptp.xp)) % 0.45/0.67 (define @t84 () (or @t59 @t83)) % 0.45/0.67 (define @t85 () (tptp.doDivides0 @t1 tptp.xp)) % 0.45/0.67 (define @t86 () (and @t7 (= tptp.xp @t10))) % 0.45/0.67 (define @t87 () (exists @t68 @t86)) % 0.45/0.67 (define @t88 () (or @t87 @t85)) % 0.45/0.67 (define @t89 () (and @t2 @t88)) % 0.45/0.67 (define @t90 () (=> @t89 @t84)) % 0.45/0.67 (define @t91 () (forall @t3 @t90)) % 0.45/0.67 (define @t92 () (tptp.sdtpldt0 tptp.xp @t1)) % 0.45/0.67 (define @t93 () (tptp.sdtpldt0 tptp.xm @t1)) % 0.45/0.67 (define @t94 () (and @t2 (= @t93 tptp.xp))) % 0.45/0.67 (define @t95 () (exists @t3 @t94)) % 0.45/0.67 (define @t96 () (= tptp.xn tptp.xp)) % 0.45/0.67 (define @t97 () (= @t78 (tptp.sdtasdt0 tptp.xp tptp.xk))) % 0.45/0.67 (define @t98 () (tptp.doDivides0 tptp.xp tptp.xm)) % 0.45/0.67 (define @t99 () (= tptp.xm @t79)) % 0.45/0.67 (define @t100 () (and @t2 @t99)) % 0.45/0.67 (define @t101 () (exists @t3 @t100)) % 0.45/0.67 (define @t102 () (tptp.doDivides0 tptp.xp tptp.xn)) % 0.45/0.67 (define @t103 () (= tptp.xn @t79)) % 0.45/0.67 (define @t104 () (and @t2 @t103)) % 0.45/0.67 (define @t105 () (exists @t3 @t104)) % 0.45/0.67 (define @t106 () (or @t105 @t102 @t101 @t98)) % 0.45/0.67 (define @t107 () (or (= tptp.xk tptp.sz00) (= tptp.xk tptp.sz10))) % 0.45/0.67 (define @t108 () (=> @t107 @t106)) % 0.45/0.67 (define @t109 () (not @t108)) % 0.45/0.67 (define @t110 () (forall @t3 (not @t81))) % 0.45/0.67 (define @t111 () (not @t110)) % 0.45/0.67 (define @t112 () (not @t2)) % 0.45/0.67 (define @t113 () (@quantifiers_skolemize (forall @t3 (or @t112 (not @t80))) 0)) % 0.45/0.67 (define @t114 () (tptp.sdtasdt0 tptp.xp @t113)) % 0.45/0.67 (define @t115 () (= @t78 @t114)) % 0.45/0.67 (define @t116 () (not @t115)) % 0.45/0.67 (define @t117 () (tptp.aNaturalNumber0 @t113)) % 0.45/0.67 (define @t118 () (not @t117)) % 0.45/0.67 (define @t119 () (or @t118 @t116)) % 0.45/0.67 (define @t120 () (@list true)) % 0.45/0.67 (define @t121 () (@list @t119)) % 0.45/0.67 (define @t122 () (= tptp.xp @t93)) % 0.45/0.67 (define @t123 () (and @t2 @t122)) % 0.45/0.67 (define @t124 () (forall @t3 (not @t123))) % 0.45/0.67 (define @t125 () (not @t124)) % 0.45/0.67 (define @t126 () (@quantifiers_skolemize (forall @t3 (or @t112 (not @t122))) 0)) % 0.45/0.67 (define @t127 () (tptp.sdtpldt0 tptp.xm @t126)) % 0.45/0.67 (define @t128 () (= tptp.xp @t127)) % 0.45/0.67 (define @t129 () (not @t128)) % 0.45/0.67 (define @t130 () (or (not (tptp.aNaturalNumber0 @t126)) @t129)) % 0.45/0.67 (define @t131 () (and (= @t1 @t19) @t18)) % 0.45/0.67 (define @t132 () (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00))) % 0.45/0.67 (define @t133 () (and @t132 @t132)) % 0.45/0.67 (define @t134 () (not @t4)) % 0.45/0.67 (define @t135 () (or @t134 @t133)) % 0.45/0.67 (define @t136 () (forall @t3 (or @t112 @t131))) % 0.45/0.67 (define @t137 () (or @t134 @t132)) % 0.45/0.67 (define @t138 () (@list false)) % 0.45/0.67 (define @t139 () (@list false false)) % 0.45/0.67 (define @t140 () (not @t7)) % 0.45/0.67 (define @t141 () (or @t112 @t140)) % 0.45/0.67 (define @t142 () (not @t8)) % 0.45/0.67 (define @t143 () (tptp.sdtasdt0 @t113 tptp.xp)) % 0.45/0.67 (define @t144 () (= @t114 @t143)) % 0.45/0.67 (define @t145 () (not @t70)) % 0.45/0.67 (define @t146 () (or @t145 @t118 @t144)) % 0.45/0.67 (define @t147 () (@list false false false)) % 0.45/0.67 (define @t148 () (forall @t3 (not @t100))) % 0.45/0.67 (define @t149 () (not @t148)) % 0.45/0.67 (define @t150 () (forall @t3 (not @t104))) % 0.45/0.67 (define @t151 () (not @t150)) % 0.45/0.67 (define @t152 () (@list @t113)) % 0.45/0.67 (define @t153 () (= tptp.xm @t114)) % 0.45/0.67 (define @t154 () (not @t153)) % 0.45/0.67 (define @t155 () (or @t118 @t154)) % 0.45/0.67 (define @t156 () (and (= tptp.sz00 @t32) @t31)) % 0.45/0.67 (define @t157 () (@list tptp.xp)) % 0.45/0.67 (define @t158 () (tptp.sdtasdt0 tptp.xp tptp.sz00)) % 0.45/0.67 (define @t159 () (= tptp.sz00 @t158)) % 0.45/0.67 (define @t160 () (and @t159 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp)))) % 0.45/0.67 (define @t161 () (or @t145 @t160)) % 0.45/0.67 (define @t162 () (and (= @t1 @t27) @t26)) % 0.45/0.67 (define @t163 () (tptp.sdtasdt0 tptp.xp tptp.sz10)) % 0.45/0.67 (define @t164 () (= tptp.xp @t163)) % 0.45/0.67 (define @t165 () (and @t164 (= tptp.xp (tptp.sdtasdt0 tptp.sz10 tptp.xp)))) % 0.45/0.67 (define @t166 () (or @t145 @t165)) % 0.45/0.67 (define @t167 () (not @t85)) % 0.45/0.67 (define @t168 () (@var "BOUND_VARIABLE_8311" $$unsorted)) % 0.45/0.67 (define @t169 () (tptp.sdtasdt0 @t1 @t168)) % 0.45/0.67 (define @t170 () (not (= @t169 tptp.xp))) % 0.45/0.67 (define @t171 () (not (tptp.aNaturalNumber0 @t168))) % 0.45/0.67 (define @t172 () (or @t171 @t170)) % 0.45/0.67 (define @t173 () (and @t172 @t167)) % 0.45/0.67 (define @t174 () (or @t112 @t173 @t59 @t83)) % 0.45/0.67 (define @t175 () (@list @t1 @t168)) % 0.45/0.67 (define @t176 () (forall @t175 @t174)) % 0.45/0.67 (define @t177 () (@list @t168)) % 0.45/0.67 (define @t178 () (forall @t177 @t174)) % 0.45/0.67 (define @t179 () (forall @t177 @t167)) % 0.45/0.67 (define @t180 () (forall @t177 @t172)) % 0.45/0.67 (define @t181 () (and @t180 @t179)) % 0.45/0.67 (define @t182 () (forall @t177 @t173)) % 0.45/0.67 (define @t183 () (or @t112 @t182 @t59 @t83)) % 0.45/0.67 (define @t184 () (= @t10 tptp.xp)) % 0.45/0.67 (define @t185 () (forall @t68 (or @t140 (not @t184)))) % 0.45/0.67 (define @t186 () (and @t185 @t167)) % 0.45/0.67 (define @t187 () (or @t112 @t186 @t59 @t83)) % 0.45/0.67 (define @t188 () (not @t185)) % 0.45/0.67 (define @t189 () (or @t188 @t85)) % 0.45/0.67 (define @t190 () (and @t2 @t189)) % 0.45/0.67 (define @t191 () (and @t7 @t184)) % 0.45/0.67 (define @t192 () (forall @t68 (not @t191))) % 0.45/0.67 (define @t193 () (not @t192)) % 0.45/0.67 (define @t194 () (= tptp.xp @t78)) % 0.45/0.67 (define @t195 () (not @t194)) % 0.45/0.67 (define @t196 () (not @t71)) % 0.45/0.67 (define @t197 () (or @t196 @t195)) % 0.45/0.67 (define @t198 () (and @t197 (not (tptp.doDivides0 tptp.xn tptp.xp)))) % 0.45/0.67 (define @t199 () (not @t72)) % 0.45/0.67 (define @t200 () (or @t199 @t198 (= tptp.xn tptp.sz10) @t96)) % 0.45/0.67 (define @t201 () (forall @t175 (or @t112 (and (or @t171 (not (= tptp.xp @t169))) @t167) @t59 @t83))) % 0.45/0.67 (define @t202 () (@list tptp.xn tptp.xm)) % 0.45/0.67 (define @t203 () (= tptp.sz10 tptp.xn)) % 0.45/0.67 (define @t204 () (or @t199 @t198 @t203 @t96)) % 0.45/0.67 (define @t205 () (tptp.sdtasdt0 tptp.xm tptp.sz10)) % 0.45/0.67 (define @t206 () (= tptp.xm @t205)) % 0.45/0.67 (define @t207 () (and @t206 (= tptp.xm (tptp.sdtasdt0 tptp.sz10 tptp.xm)))) % 0.45/0.67 (define @t208 () (or @t196 @t207)) % 0.45/0.67 (define @t209 () (= @t78 (tptp.sdtasdt0 tptp.xm tptp.xn))) % 0.45/0.67 (define @t210 () (or @t199 @t196 @t209)) % 0.45/0.67 (define @t211 () (= tptp.xm @t143)) % 0.45/0.67 (define @t212 () (and @t115 @t209 @t144 @t206 @t203)) % 0.45/0.67 (define @t213 () (not @t144)) % 0.45/0.67 (define @t214 () (not @t209)) % 0.45/0.67 (define @t215 () (not @t203)) % 0.45/0.67 (define @t216 () (= tptp.sz10 tptp.xk)) % 0.45/0.67 (define @t217 () (tptp.sdtasdt0 @t127 tptp.xk)) % 0.45/0.67 (define @t218 () (and @t97 @t216 @t128 @t164)) % 0.45/0.67 (define @t219 () (not @t216)) % 0.45/0.67 (define @t220 () (not @t97)) % 0.45/0.67 (define @t221 () (= tptp.sz00 tptp.xk)) % 0.45/0.67 (define @t222 () (= tptp.sz00 @t5)) % 0.45/0.67 (define @t223 () (= tptp.sz00 @t10)) % 0.45/0.67 (define @t224 () (not @t223)) % 0.45/0.67 (define @t225 () (or @t112 @t140 @t224 @t43 @t222)) % 0.45/0.67 (define @t226 () (or @t224 @t43 @t222)) % 0.45/0.67 (define @t227 () (or @t43 @t222)) % 0.45/0.67 (define @t228 () (=> @t223 @t227)) % 0.45/0.67 (define @t229 () (= tptp.sz00 tptp.xm)) % 0.45/0.67 (define @t230 () (= tptp.sz00 @t78)) % 0.45/0.67 (define @t231 () (not @t230)) % 0.45/0.67 (define @t232 () (or @t199 @t196 @t231 (= tptp.xn tptp.sz00) @t229)) % 0.45/0.67 (define @t233 () (forall @t9 @t225)) % 0.45/0.67 (define @t234 () (= tptp.sz00 tptp.xn)) % 0.45/0.67 (define @t235 () (or @t199 @t196 @t231 @t234 @t229)) % 0.45/0.67 (define @t236 () (and @t97 @t221 @t128 @t159)) % 0.45/0.67 (define @t237 () (not @t159)) % 0.45/0.67 (define @t238 () (not @t221)) % 0.45/0.67 (define @t239 () (= tptp.xn @t114)) % 0.45/0.67 (define @t240 () (not @t239)) % 0.45/0.67 (define @t241 () (or @t118 @t240)) % 0.45/0.67 (define @t242 () (not @t234)) % 0.45/0.67 (define @t243 () (not @t132)) % 0.45/0.67 (define @t244 () (= false true)) % 0.45/0.67 (define @t245 () (and @t132 @t234 @t230 @t209 @t97 @t115 @t240)) % 0.45/0.67 (define @t246 () (not @t229)) % 0.45/0.67 (define @t247 () (and @t132 @t229 @t230 @t115 @t144 @t97 @t154)) % 0.45/0.67 (assume @p1 (forall @t3 (=> @t2 true))) % 0.45/0.67 (assume @p2 @t4) % 0.45/0.67 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.45/0.67 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 0.45/0.67 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t10)))) % 0.45/0.67 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t11)))) % 0.45/0.67 (assume @p7 (forall @t17 (=> @t16 (= @t14 (tptp.sdtpldt0 @t1 @t13))))) % 0.45/0.67 (assume @p8 @t22) % 0.45/0.67 (assume @p9 @t25) % 0.45/0.67 (assume @p10 (forall @t17 (=> @t16 (= (tptp.sdtasdt0 @t10 @t12) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t12)))))) % 0.45/0.67 (assume @p11 @t30) % 0.45/0.67 (assume @p12 @t35) % 0.45/0.67 (assume @p13 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t10 @t37)) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t23 @t36)))))) % 0.45/0.67 (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t6 @t40) (= @t11 @t39)) @t38)))) % 0.45/0.67 (assume @p15 (forall @t3 (=> @t2 (=> @t44 (forall (@list @t5 @t12) (=> (and @t7 @t15) (=> (or @t42 @t41) @t38))))))) % 0.45/0.67 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t43 @t45))))) % 0.45/0.67 (assume @p17 @t49) % 0.45/0.67 (assume @p18 (forall @t9 (=> @t8 (= @t52 (exists @t51 @t50))))) % 0.45/0.67 (assume @p19 (forall @t9 (=> @t8 (=> @t52 (forall @t51 (= (= @t12 (tptp.sdtmndt0 @t5 @t1)) @t50)))))) % 0.45/0.67 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.45/0.67 (assume @p21 (forall @t9 (=> @t8 (=> (and @t52 @t54) @t53)))) % 0.45/0.67 (assume @p22 (forall @t17 (=> @t16 (=> (and @t52 @t55) (tptp.sdtlseqdt0 @t1 @t12))))) % 0.45/0.67 (assume @p23 (forall @t9 (=> @t8 (or @t52 (and (not @t56) @t54))))) % 0.45/0.67 (assume @p24 (forall @t9 (=> @t8 (=> @t58 (forall @t51 (=> @t15 (and (not (= @t39 @t57)) (tptp.sdtlseqdt0 @t39 @t57) (not (= @t40 @t13)) (tptp.sdtlseqdt0 @t40 @t13)))))))) % 0.45/0.67 (assume @p25 (forall @t17 (=> @t16 (=> (and @t44 (not @t38) @t55) (and (not @t42) (tptp.sdtlseqdt0 @t10 @t37) (not @t41) (tptp.sdtlseqdt0 @t23 @t36)))))) % 0.45/0.67 (assume @p26 (forall @t3 (=> @t2 (or @t43 @t59 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.45/0.67 (assume @p27 (forall @t9 (=> @t8 (=> @t44 (tptp.sdtlseqdt0 @t5 @t23))))) % 0.45/0.67 (assume @p28 (forall @t9 (=> @t8 (=> @t60 true)))) % 0.45/0.67 (assume @p29 (forall @t9 (=> @t8 (=> @t58 @t60)))) % 0.45/0.67 (assume @p30 (forall @t9 (=> @t8 (= @t62 (exists @t51 @t61))))) % 0.45/0.67 (assume @p31 (forall @t9 (=> @t8 (=> @t64 (forall @t51 (= (= @t12 @t63) @t61)))))) % 0.45/0.67 (assume @p32 (forall @t17 (=> @t16 (=> (and @t62 (tptp.doDivides0 @t5 @t12)) @t65)))) % 0.45/0.67 (assume @p33 (forall @t17 (=> @t16 (=> (and @t62 @t65) @t66)))) % 0.45/0.67 (assume @p34 (forall @t17 (=> @t16 (=> (and @t62 @t66) @t65)))) % 0.45/0.67 (assume @p35 (forall @t9 (=> @t8 (=> (and @t62 (not @t45)) @t52)))) % 0.45/0.67 (assume @p36 (forall @t9 (=> @t8 (=> @t64 (forall @t51 (=> @t15 (= (tptp.sdtasdt0 @t12 @t63) (tptp.sdtsldt0 (tptp.sdtasdt0 @t12 @t5) @t1)))))))) % 0.45/0.67 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t44 @t69 (forall @t68 (=> (and @t7 @t67) (or (= @t5 tptp.sz10) @t56)))))))) % 0.45/0.67 (assume @p38 (forall @t3 (=> (and @t2 @t44 @t69) (exists @t68 (and @t7 @t67 (tptp.isPrime0 @t5)))))) % 0.45/0.67 (assume @p39 (and @t72 @t71 @t70)) % 0.45/0.67 (assume @p40 (forall @t17 (=> @t16 (=> (and (or (and (not (= @t12 tptp.sz00)) (not (= @t12 tptp.sz10)) (forall @t76 (=> (and @t75 (exists (@list @t77) (and (tptp.aNaturalNumber0 @t77) (= @t12 (tptp.sdtasdt0 @t73 @t77)))) (tptp.doDivides0 @t73 @t12)) (or (= @t73 tptp.sz10) (= @t73 @t12))))) (tptp.isPrime0 @t12)) (or (exists @t76 (and @t75 (= @t10 @t74))) (tptp.doDivides0 @t12 @t10))) (=> (tptp.iLess0 @t14 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (and (exists @t76 (and @t75 (= @t1 @t74))) (tptp.doDivides0 @t12 @t1)) (and (exists @t76 (and @t75 (= @t5 @t74))) (tptp.doDivides0 @t12 @t5)))))))) % 0.45/0.67 (assume @p41 (and (not (= tptp.xp tptp.sz00)) (not (= tptp.xp tptp.sz10)) @t91 (tptp.isPrime0 tptp.xp) @t82 (tptp.doDivides0 tptp.xp @t78))) % 0.45/0.67 (assume @p42 (not (or (exists @t3 (and @t2 (= @t92 tptp.xn))) (tptp.sdtlseqdt0 tptp.xp tptp.xn)))) % 0.45/0.67 (assume @p43 (not (or (exists @t3 (and @t2 (= @t92 tptp.xm))) (tptp.sdtlseqdt0 tptp.xp tptp.xm)))) % 0.45/0.67 (assume @p44 (and (not @t96) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xn @t1) tptp.xp))) (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not (= tptp.xm tptp.xp)) @t95 (tptp.sdtlseqdt0 tptp.xm tptp.xp))) % 0.45/0.67 (assume @p45 (and (tptp.aNaturalNumber0 tptp.xk) @t97 (= tptp.xk (tptp.sdtsldt0 @t78 tptp.xp)))) % 0.45/0.67 (assume @p46 @t109) % 0.45/0.67 (assume @p47 true) % 0.45/0.67 (step @p48 :rule and_elim :premises (@p45) :args (1)) % 0.45/0.67 (step @p49 :rule bool-and-de-morgan :args (@t2 @t80 true)) % 0.45/0.67 (step @p50 :rule cong :premises (@p49) :args (@t110)) % 0.45/0.67 (step @p51 :rule cong :premises (@p50) :args (@t111)) % 0.45/0.67 (step @p52 :rule exists-elim :args ((= @t82 @t111))) % 0.45/0.67 (step @p53 :rule trans :premises (@p52 @p51)) % 0.45/0.67 (step @p54 :rule and_elim :premises (@p41) :args (4)) % 0.45/0.67 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.45/0.67 (step @p56 :rule skolemize :premises (@p55)) % 0.45/0.67 (step @p57 :rule bool-double-not-elim :args (@t115)) % 0.45/0.67 (step @p58 :rule refl :args (@t119)) % 0.45/0.67 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t119 (not @t116)))) % 0.45/0.67 (step @p60 :rule cnf_or_neg :args (@t119 1)) % 0.45/0.67 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.45/0.67 (step @p62 :rule reordering :premises (@p61) :args ((or @t115 @t119))) % 0.45/0.67 (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t115 @t120 @t121)) % 0.45/0.67 (step @p64 :rule bool-and-de-morgan :args (@t2 @t122 true)) % 0.45/0.67 (step @p65 :rule cong :premises (@p64) :args (@t124)) % 0.45/0.67 (step @p66 :rule cong :premises (@p65) :args (@t125)) % 0.45/0.67 (step @p67 :rule exists-elim :args ((= (exists @t3 @t123) @t125))) % 0.45/0.67 (step @p68 :rule trans :premises (@p67 @p66)) % 0.45/0.67 (step @p69 :rule eq-symm :args (@t93 tptp.xp)) % 0.45/0.67 (step @p70 :rule refl :args (@t2)) % 0.45/0.67 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t94)) % 0.45/0.67 (step @p72 :rule cong :premises (@p71) :args (@t95)) % 0.45/0.67 (step @p73 :rule trans :premises (@p72 @p68)) % 0.45/0.67 (step @p74 :rule and_elim :premises (@p44) :args (4)) % 0.45/0.67 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.45/0.67 (step @p76 :rule skolemize :premises (@p75)) % 0.45/0.67 (step @p77 :rule bool-double-not-elim :args (@t128)) % 0.45/0.67 (step @p78 :rule refl :args (@t130)) % 0.45/0.67 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t130 (not @t129)))) % 0.45/0.67 (step @p80 :rule cnf_or_neg :args (@t130 1)) % 0.45/0.67 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.45/0.67 (step @p82 :rule reordering :premises (@p81) :args ((or @t128 @t130))) % 0.45/0.67 (step @p83 :rule chain_m_resolution :premises (@p82 @p76) :args (@t128 @t120 (@list @t130))) % 0.45/0.67 (step @p84 :rule bool-impl-elim :args (@t2 @t131)) % 0.45/0.67 (step @p85 :rule cong :premises (@p84) :args ((forall @t3 (=> @t2 @t131)))) % 0.45/0.67 (step @p86 :rule refl :args (@t18)) % 0.45/0.67 (step @p87 :rule eq-symm :args (@t19 @t1)) % 0.45/0.67 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t20)) % 0.45/0.67 (step @p89 :rule cong :premises (@p70 @p88) :args (@t21)) % 0.45/0.67 (step @p90 :rule cong :premises (@p89) :args (@t22)) % 0.45/0.67 (step @p91 :rule trans :premises (@p90 @p85)) % 0.45/0.67 (step @p92 :rule eq_resolve :premises (@p8 @p91)) % 0.45/0.67 (step @p93 :rule aci_norm :args ((= @t133 @t132))) % 0.45/0.67 (step @p94 :rule refl :args (@t134)) % 0.45/0.67 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t135)) % 0.45/0.67 (step @p96 :rule refl :args (@t136)) % 0.45/0.67 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t136 @t135))) % 0.45/0.67 (assume-push @p570 @t136) % 0.45/0.67 (step @p99 :rule instantiate :premises (@p92) :args ((@list tptp.sz00))) % 0.45/0.67 (step-pop @p571 :rule scope :premises (@p99)) % 0.45/0.67 (step @p100 :rule process_scope :premises (@p571) :args (@t135)) % 0.45/0.67 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.45/0.67 (step @p103 :rule implies_elim :premises (@p102)) % 0.45/0.67 (step @p104 :rule chain_m_resolution :premises (@p103 @p92) :args (@t137 @t138 (@list @t136))) % 0.45/0.67 (step @p105 :rule cnf_or_pos :args (@t137)) % 0.45/0.67 (step @p106 :rule reordering :premises (@p105) :args ((or @t134 @t132 (not @t137)))) % 0.45/0.67 (step @p107 :rule chain_m_resolution :premises (@p106 @p2 @p104) :args (@t132 @t139 (@list @t4 @t137))) % 0.45/0.67 (step @p108 :rule aci_norm :args ((= (or @t141 @t24) (or @t112 @t140 @t24)))) % 0.45/0.67 (step @p109 :rule refl :args (@t24)) % 0.45/0.67 (step @p110 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.45/0.67 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t142 @t24))) % 0.45/0.67 (step @p112 :rule trans :premises (@p111 @p108)) % 0.45/0.67 (step @p113 :rule bool-impl-elim :args (@t8 @t24)) % 0.45/0.67 (step @p114 :rule trans :premises (@p113 @p112)) % 0.45/0.67 (step @p115 :rule cong :premises (@p114) :args (@t25)) % 0.45/0.67 (step @p116 :rule eq_resolve :premises (@p9 @p115)) % 0.45/0.67 (step @p117 :rule instantiate :premises (@p116) :args ((@list tptp.xp @t113))) % 0.45/0.67 (step @p118 :rule bool-double-not-elim :args (@t117)) % 0.45/0.67 (step @p119 :rule nary_cong :premises (@p58 @p118) :args ((or @t119 (not @t118)))) % 0.45/0.67 (step @p120 :rule cnf_or_neg :args (@t119 0)) % 0.45/0.67 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.45/0.67 (step @p122 :rule reordering :premises (@p121) :args ((or @t117 @t119))) % 0.45/0.67 (step @p123 :rule chain_m_resolution :premises (@p122 @p56) :args (@t117 @t120 @t121)) % 0.45/0.67 (step @p124 :rule and_elim :premises (@p39) :args (2)) % 0.45/0.67 (step @p125 :rule cnf_or_pos :args (@t146)) % 0.45/0.67 (step @p126 :rule reordering :premises (@p125) :args ((or @t145 @t118 @t144 (not @t146)))) % 0.45/0.67 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p123 @p117) :args (@t144 @t147 (@list @t70 @t117 @t146))) % 0.45/0.67 (step @p128 :rule refl :args (@t98)) % 0.45/0.67 (step @p129 :rule bool-and-de-morgan :args (@t2 @t99 true)) % 0.45/0.67 (step @p130 :rule cong :premises (@p129) :args (@t148)) % 0.45/0.67 (step @p131 :rule cong :premises (@p130) :args (@t149)) % 0.45/0.67 (step @p132 :rule exists-elim :args ((= @t101 @t149))) % 0.45/0.67 (step @p133 :rule trans :premises (@p132 @p131)) % 0.45/0.67 (step @p134 :rule refl :args (@t102)) % 0.45/0.67 (step @p135 :rule bool-and-de-morgan :args (@t2 @t103 true)) % 0.45/0.67 (step @p136 :rule cong :premises (@p135) :args (@t150)) % 0.45/0.67 (step @p137 :rule cong :premises (@p136) :args (@t151)) % 0.45/0.67 (step @p138 :rule exists-elim :args ((= @t105 @t151))) % 0.45/0.67 (step @p139 :rule trans :premises (@p138 @p137)) % 0.45/0.67 (step @p140 :rule nary_cong :premises (@p139 @p134 @p133 @p128) :args (@t106)) % 0.45/0.67 (step @p141 :rule eq-symm :args (tptp.xk tptp.sz10)) % 0.45/0.67 (step @p142 :rule eq-symm :args (tptp.xk tptp.sz00)) % 0.45/0.67 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t107)) % 0.45/0.67 (step @p144 :rule cong :premises (@p143 @p140) :args (@t108)) % 0.45/0.67 (step @p145 :rule cong :premises (@p144) :args (@t109)) % 0.45/0.67 (step @p146 :rule eq_resolve :premises (@p46 @p145)) % 0.45/0.67 (step @p147 :rule not_implies_elim2 :premises (@p146)) % 0.45/0.67 (step @p148 :rule not_or_elim :premises (@p147) :args (2)) % 0.45/0.67 (step @p149 :rule not_not_elim :premises (@p148)) % 0.45/0.67 (step @p150 :rule instantiate :premises (@p149) :args (@t152)) % 0.45/0.67 (step @p151 :rule cnf_or_pos :args (@t155)) % 0.45/0.67 (step @p152 :rule reordering :premises (@p151) :args ((or @t118 @t154 (not @t155)))) % 0.45/0.67 (step @p153 :rule chain_m_resolution :premises (@p152 @p123 @p150) :args (@t154 @t139 (@list @t117 @t155))) % 0.45/0.67 (step @p154 :rule bool-impl-elim :args (@t2 @t156)) % 0.45/0.67 (step @p155 :rule cong :premises (@p154) :args ((forall @t3 (=> @t2 @t156)))) % 0.45/0.67 (step @p156 :rule refl :args (@t31)) % 0.45/0.67 (step @p157 :rule eq-symm :args (@t32 tptp.sz00)) % 0.45/0.67 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t33)) % 0.45/0.67 (step @p159 :rule cong :premises (@p70 @p158) :args (@t34)) % 0.45/0.67 (step @p160 :rule cong :premises (@p159) :args (@t35)) % 0.45/0.67 (step @p161 :rule trans :premises (@p160 @p155)) % 0.45/0.67 (step @p162 :rule eq_resolve :premises (@p12 @p161)) % 0.45/0.67 (step @p163 :rule instantiate :premises (@p162) :args (@t157)) % 0.45/0.67 (step @p164 :rule cnf_or_pos :args (@t161)) % 0.45/0.67 (step @p165 :rule reordering :premises (@p164) :args ((or @t145 @t160 (not @t161)))) % 0.45/0.67 (step @p166 :rule chain_m_resolution :premises (@p165 @p124 @p163) :args (@t160 @t139 (@list @t70 @t161))) % 0.45/0.67 (step @p167 :rule cnf_and_pos :args (@t160 0)) % 0.45/0.67 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:rule refl :args (@t116)) % 0.45/0.67 (step @p429 :rule refl :args (@t238)) % 0.45/0.67 (step @p430 :rule refl :args (@t220)) % 0.45/0.67 (step @p431 :rule nary_cong :premises (@p430 @p429 @p428 @p427 @p426 @p425 @p424 @p423 @p422) :args ((or @t220 @t238 @t116 @t129 @t243 @t214 @t237 @t242 (not @t240)))) % 0.45/0.67 (assume-push @p628 @t132) % 0.45/0.67 (assume-push @p629 @t234) % 0.45/0.67 (assume-push @p630 @t230) % 0.45/0.67 (assume-push @p631 @t209) % 0.45/0.67 (assume-push @p632 @t97) % 0.45/0.67 (assume-push @p633 @t115) % 0.45/0.67 (assume-push @p634 @t240) % 0.45/0.67 (step @p439 :rule evaluate :args (@t244)) % 0.45/0.67 (step @p440 :rule symm :premises (@p63)) % 0.45/0.67 (step @p441 :rule trans :premises (@p440 @p48)) % 0.45/0.67 (step @p442 :rule symm :premises (@p441)) % 0.45/0.67 (step @p331 :rule symm :premises (@p48)) % 0.45/0.67 (step @p443 :rule trans :premises (@p331 @p274)) % 0.45/0.67 (step @p444 :rule symm :premises (@p443)) % 0.45/0.67 (step @p445 :rule symm :premises (@p630)) % 0.45/0.67 (step @p291 :rule symm :premises (@p274)) % 0.45/0.67 (step @p446 :rule trans :premises (@p291 @p445 @p107)) % 0.45/0.67 (step @p447 :rule symm :premises (@p446)) % 0.45/0.67 (step @p448 :rule symm :premises (@p629)) % 0.45/0.67 (step @p449 :rule trans :premises (@p448 @p107 @p447 @p444 @p442)) % 0.45/0.67 (step @p450 :rule true_intro :premises (@p449)) % 0.45/0.67 (step @p451 :rule false_intro :premises (@p421)) % 0.45/0.67 (step @p452 :rule symm :premises (@p451)) % 0.45/0.67 (step @p453 :rule trans :premises (@p452 @p450)) % 0.45/0.67 (step @p454 false :rule eq_resolve :premises (@p453 @p439)) % 0.45/0.67 (step-pop @p635 :rule scope :premises (@p454)) % 0.45/0.67 (step-pop @p636 :rule scope :premises (@p635)) % 0.45/0.67 (step-pop @p637 :rule scope :premises (@p636)) % 0.45/0.67 (step-pop @p638 :rule scope :premises (@p637)) % 0.45/0.67 (step-pop @p639 :rule scope :premises (@p638)) % 0.45/0.67 (step-pop @p640 :rule scope :premises (@p639)) % 0.45/0.67 (step-pop @p641 :rule scope :premises (@p640)) % 0.45/0.67 (step @p455 :rule process_scope :premises (@p641) :args (false)) % 0.45/0.67 (assume-push @p642 @t97) % 0.45/0.67 (assume-push @p643 @t221) % 0.45/0.67 (assume-push @p644 @t115) % 0.45/0.67 (assume-push @p645 @t128) % 0.45/0.67 (assume-push @p646 @t132) % 0.45/0.67 (assume-push @p647 @t209) % 0.45/0.67 (assume-push @p648 @t159) % 0.45/0.67 (assume-push @p649 @t234) % 0.45/0.67 (assume-push @p650 @t240) % 0.45/0.67 (assume-push @p651 @t97) % 0.45/0.67 (assume-push @p652 @t128) % 0.45/0.67 (assume-push @p653 @t221) % 0.45/0.67 (assume-push @p654 @t159) % 0.45/0.67 (step @p331 :rule symm :premises (@p48)) % 0.45/0.67 (step @p332 :rule refl :args (tptp.xk)) % 0.45/0.67 (step @p333 :rule symm :premises (@p83)) % 0.45/0.67 (step @p334 :rule cong :premises (@p333 @p332) :args (@t217)) % 0.45/0.67 (step @p397 :rule cong :premises (@p83 @p643) :args (@t158)) % 0.45/0.67 (step @p398 :rule trans :premises (@p169 @p397 @p334 @p331)) % 0.45/0.67 (step-pop @p655 :rule scope :premises (@p398)) % 0.45/0.67 (step-pop @p656 :rule scope :premises (@p655)) % 0.45/0.67 (step-pop @p657 :rule scope :premises (@p656)) % 0.45/0.67 (step-pop @p658 :rule scope :premises (@p657)) % 0.45/0.67 (step @p476 :rule process_scope :premises (@p658) :args (@t230)) % 0.45/0.67 (step @p481 :rule and_intro :premises (@p48 @p83 @p643 @p169)) % 0.45/0.67 (step @p482 :rule modus_ponens :premises (@p481 @p476)) % 0.45/0.67 (step @p483 :rule and_intro :premises (@p107 @p649 @p482 @p274 @p48 @p63 @p421)) % 0.45/0.67 (step-pop @p659 :rule scope :premises (@p483)) % 0.45/0.67 (step-pop @p660 :rule scope :premises (@p659)) % 0.45/0.67 (step-pop @p661 :rule scope :premises (@p660)) % 0.45/0.67 (step-pop @p662 :rule scope :premises (@p661)) % 0.45/0.67 (step-pop @p663 :rule scope :premises (@p662)) % 0.45/0.67 (step-pop @p664 :rule scope :premises (@p663)) % 0.45/0.67 (step-pop @p665 :rule scope :premises (@p664)) % 0.45/0.67 (step-pop @p666 :rule scope :premises (@p665)) % 0.45/0.67 (step-pop @p667 :rule scope :premises (@p666)) % 0.45/0.67 (step @p484 :rule process_scope :premises (@p667) :args (@t245)) % 0.45/0.67 (step @p494 :rule implies_elim :premises (@p484)) % 0.45/0.67 (step @p495 :rule resolution :premises (@p494 @p455) :args (true @t245)) % 0.45/0.67 (step @p496 :rule not_and :premises (@p495)) % 0.45/0.67 (step @p497 :rule eq_resolve :premises (@p496 @p431)) % 0.45/0.67 (step @p498 :rule reordering :premises (@p497) :args ((or @t220 @t238 @t116 @t129 @t242 @t239 @t243 @t214 @t237))) % 0.45/0.67 (step @p499 :rule chain_m_resolution :premises (@p498 @p48 @p355 @p63 @p83 @p421 @p107 @p274 @p169) :args (@t242 (@list false false false false true false false false) (@list @t97 @t221 @t115 @t128 @t239 @t132 @t209 @t159))) % 0.45/0.67 (step @p500 :rule cnf_or_pos :args (@t235)) % 0.45/0.67 (step @p501 :rule reordering :premises (@p500) :args ((or @t199 @t196 @t234 @t229 @t231 (not @t235)))) % 0.45/0.67 (step @p502 :rule chain_m_resolution :premises (@p501 @p271 @p263 @p499 @p415 @p388) :args (@t229 (@list false false true false false) (@list @t72 @t71 @t234 @t230 @t235))) % 0.45/0.67 (step @p503 :rule bool-double-not-elim :args (@t153)) % 0.45/0.67 (step @p504 :rule refl :args (@t246)) % 0.45/0.67 (step @p505 :rule refl :args (@t213)) % 0.45/0.67 (step @p506 :rule nary_cong :premises (@p430 @p429 @p428 @p427 @p426 @p505 @p424 @p504 @p503) :args ((or @t220 @t238 @t116 @t129 @t243 @t213 @t237 @t246 (not @t154)))) % 0.45/0.67 (assume-push @p668 @t132) % 0.45/0.67 (assume-push @p669 @t229) % 0.45/0.67 (assume-push @p670 @t230) % 0.45/0.67 (assume-push @p671 @t115) % 0.45/0.67 (assume-push @p672 @t144) % 0.45/0.67 (assume-push @p673 @t97) % 0.45/0.67 (assume-push @p674 @t154) % 0.45/0.67 (step @p439 :rule evaluate :args (@t244)) % 0.45/0.67 (step @p440 :rule symm :premises (@p63)) % 0.45/0.67 (step @p441 :rule trans :premises (@p440 @p48)) % 0.45/0.67 (step @p442 :rule symm :premises (@p441)) % 0.45/0.67 (step @p331 :rule symm :premises (@p48)) % 0.45/0.67 (step @p514 :rule trans :premises (@p331 @p63 @p127)) % 0.45/0.67 (step @p515 :rule symm :premises (@p514)) % 0.45/0.67 (step @p516 :rule symm :premises (@p670)) % 0.45/0.67 (step @p517 :rule trans :premises (@p276 @p440 @p516 @p107)) % 0.45/0.67 (step @p518 :rule symm :premises (@p517)) % 0.45/0.67 (step @p519 :rule symm :premises (@p669)) % 0.45/0.67 (step @p520 :rule trans :premises (@p519 @p107 @p518 @p515 @p442)) % 0.45/0.67 (step @p521 :rule true_intro :premises (@p520)) % 0.45/0.67 (step @p522 :rule symm :premises (@p275)) % 0.45/0.67 (step @p523 :rule trans :premises (@p522 @p521)) % 0.45/0.67 (step @p524 false :rule eq_resolve :premises (@p523 @p439)) % 0.45/0.67 (step-pop @p675 :rule scope :premises (@p524)) % 0.45/0.67 (step-pop @p676 :rule scope :premises (@p675)) % 0.45/0.67 (step-pop @p677 :rule scope :premises (@p676)) % 0.45/0.67 (step-pop @p678 :rule scope :premises (@p677)) % 0.45/0.67 (step-pop @p679 :rule scope :premises (@p678)) % 0.45/0.67 (step-pop @p680 :rule scope :premises (@p679)) % 0.45/0.67 (step-pop @p681 :rule scope :premises (@p680)) % 0.45/0.67 (step @p525 :rule process_scope :premises (@p681) :args (false)) % 0.45/0.67 (assume-push @p682 @t97) % 0.45/0.67 (assume-push @p683 @t221) % 0.45/0.67 (assume-push @p684 @t115) % 0.45/0.67 (assume-push @p685 @t128) % 0.45/0.67 (assume-push @p686 @t132) % 0.45/0.67 (assume-push @p687 @t144) % 0.45/0.67 (assume-push @p688 @t159) % 0.45/0.67 (assume-push @p689 @t229) % 0.45/0.67 (assume-push @p690 @t154) % 0.45/0.67 (assume-push @p691 @t97) % 0.45/0.67 (assume-push @p692 @t128) % 0.45/0.67 (assume-push @p693 @t221) % 0.45/0.67 (assume-push @p694 @t159) % 0.45/0.67 (step @p331 :rule symm :premises (@p48)) % 0.45/0.67 (step @p332 :rule refl :args (tptp.xk)) % 0.45/0.67 (step @p333 :rule symm :premises (@p83)) % 0.45/0.67 (step @p334 :rule cong :premises (@p333 @p332) :args (@t217)) % 0.45/0.67 (step @p397 :rule cong :premises (@p83 @p683) :args (@t158)) % 0.45/0.67 (step @p398 :rule trans :premises (@p169 @p397 @p334 @p331)) % 0.45/0.67 (step-pop @p695 :rule scope :premises (@p398)) % 0.45/0.67 (step-pop @p696 :rule scope :premises (@p695)) % 0.45/0.67 (step-pop @p697 :rule scope :premises (@p696)) % 0.45/0.67 (step-pop @p698 :rule scope :premises (@p697)) % 0.45/0.67 (step @p546 :rule process_scope :premises (@p698) :args (@t230)) % 0.45/0.67 (step @p551 :rule and_intro :premises (@p48 @p83 @p683 @p169)) % 0.45/0.67 (step @p552 :rule modus_ponens :premises (@p551 @p546)) % 0.45/0.67 (step @p553 :rule and_intro :premises (@p107 @p689 @p552 @p63 @p127 @p48 @p153)) % 0.45/0.67 (step-pop @p699 :rule scope :premises (@p553)) % 0.45/0.67 (step-pop @p700 :rule scope :premises (@p699)) % 0.45/0.67 (step-pop @p701 :rule scope :premises (@p700)) % 0.45/0.67 (step-pop @p702 :rule scope :premises (@p701)) % 0.45/0.67 (step-pop @p703 :rule scope :premises (@p702)) % 0.45/0.67 (step-pop @p704 :rule scope :premises (@p703)) % 0.45/0.67 (step-pop @p705 :rule scope :premises (@p704)) % 0.45/0.67 (step-pop @p706 :rule scope :premises (@p705)) % 0.45/0.67 (step-pop @p707 :rule scope :premises (@p706)) % 0.45/0.67 (step @p554 :rule process_scope :premises (@p707) :args (@t247)) % 0.45/0.67 (step @p564 :rule implies_elim :premises (@p554)) % 0.45/0.67 (step @p565 :rule resolution :premises (@p564 @p525) :args (true @t247)) % 0.45/0.67 (step @p566 :rule not_and :premises (@p565)) % 0.45/0.67 (step @p567 :rule eq_resolve :premises (@p566 @p506)) % 0.45/0.67 (step @p568 :rule reordering :premises (@p567) :args ((or @t220 @t238 @t116 @t129 @t246 @t153 @t243 @t213 @t237))) % 0.45/0.67 (step @p569 false :rule chain_m_resolution :premises (@p568 @p502 @p355 @p169 @p153 @p127 @p107 @p83 @p63 @p48) :args (false (@list false false false true false false false false false) (@list @t229 @t221 @t159 @t153 @t144 @t132 @t128 @t115 @t97))) % 0.45/0.67 ) % 0.45/0.67 % SZS output end Proof % 0.45/0.67 % cvc5 exiting %------------------------------------------------------------------------------