%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM496+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 : n015.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 16.03s 16.23s % Output : Proof 16.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM496+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 % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:24:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.03/16.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.03/16.23 --- Run --no-e-matching --full-saturate-quant at 6... % 16.03/16.23 % SZS status Theorem % 16.03/16.23 % SZS output start Proof % 16.03/16.23 ( % 16.03/16.23 (declare-sort $$unsorted 0) % 16.03/16.23 (declare-const tptp.xr $$unsorted) % 16.03/16.23 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 16.03/16.23 (declare-const tptp.xm $$unsorted) % 16.03/16.23 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.23 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 16.03/16.23 (declare-const tptp.xn $$unsorted) % 16.03/16.23 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 16.03/16.23 (declare-const tptp.sz00 $$unsorted) % 16.03/16.23 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.23 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.23 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.23 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.03/16.23 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 16.03/16.23 (declare-const tptp.sz10 $$unsorted) % 16.03/16.23 (declare-const tptp.xp $$unsorted) % 16.03/16.23 (define @t1 () (@var "W0" $$unsorted)) % 16.03/16.23 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 16.03/16.23 (define @t3 () (@list @t1)) % 16.03/16.23 (define @t4 () (not (= tptp.sz10 tptp.sz00))) % 16.03/16.23 (define @t5 () (tptp.aNaturalNumber0 tptp.sz10)) % 16.03/16.23 (define @t6 () (@var "W1" $$unsorted)) % 16.03/16.23 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 16.03/16.23 (define @t8 () (tptp.aNaturalNumber0 @t6)) % 16.03/16.23 (define @t9 () (and @t2 @t8)) % 16.03/16.23 (define @t10 () (@list @t1 @t6)) % 16.03/16.23 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 16.03/16.23 (define @t12 () (tptp.sdtpldt0 @t6 @t1)) % 16.03/16.23 (define @t13 () (@var "W2" $$unsorted)) % 16.03/16.23 (define @t14 () (tptp.sdtpldt0 @t6 @t13)) % 16.03/16.23 (define @t15 () (tptp.sdtpldt0 @t7 @t13)) % 16.03/16.23 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 16.03/16.23 (define @t17 () (and @t2 @t8 @t16)) % 16.03/16.23 (define @t18 () (@list @t1 @t6 @t13)) % 16.03/16.23 (define @t19 () (tptp.sdtasdt0 @t6 @t1)) % 16.03/16.23 (define @t20 () (tptp.sdtasdt0 @t13 @t1)) % 16.03/16.23 (define @t21 () (tptp.sdtasdt0 @t1 @t13)) % 16.03/16.23 (define @t22 () (= @t6 @t13)) % 16.03/16.23 (define @t23 () (tptp.sdtpldt0 @t13 @t1)) % 16.03/16.23 (define @t24 () (tptp.sdtpldt0 @t1 @t13)) % 16.03/16.23 (define @t25 () (= @t19 @t20)) % 16.03/16.23 (define @t26 () (= @t11 @t21)) % 16.03/16.23 (define @t27 () (and @t8 @t16)) % 16.03/16.23 (define @t28 () (= @t1 tptp.sz00)) % 16.03/16.23 (define @t29 () (not @t28)) % 16.03/16.23 (define @t30 () (= @t6 tptp.sz00)) % 16.03/16.23 (define @t31 () (and @t16 (= @t24 @t6))) % 16.03/16.23 (define @t32 () (@list @t13)) % 16.03/16.23 (define @t33 () (tptp.sdtlseqdt0 @t1 @t6)) % 16.03/16.23 (define @t34 () (= @t1 @t6)) % 16.03/16.23 (define @t35 () (tptp.sdtlseqdt0 @t6 @t1)) % 16.03/16.23 (define @t36 () (tptp.sdtlseqdt0 @t6 @t13)) % 16.03/16.23 (define @t37 () (= @t6 @t1)) % 16.03/16.23 (define @t38 () (tptp.sdtpldt0 @t13 @t6)) % 16.03/16.23 (define @t39 () (and (not @t34) @t33)) % 16.03/16.23 (define @t40 () (= @t1 tptp.sz10)) % 16.03/16.23 (define @t41 () (tptp.iLess0 @t1 @t6)) % 16.03/16.23 (define @t42 () (and @t16 (= @t6 @t21))) % 16.03/16.23 (define @t43 () (tptp.doDivides0 @t1 @t6)) % 16.03/16.23 (define @t44 () (tptp.sdtsldt0 @t6 @t1)) % 16.03/16.23 (define @t45 () (and @t29 @t43)) % 16.03/16.23 (define @t46 () (tptp.doDivides0 @t1 @t13)) % 16.03/16.23 (define @t47 () (tptp.doDivides0 @t1 @t14)) % 16.03/16.23 (define @t48 () (and @t43 @t46)) % 16.03/16.23 (define @t49 () (=> @t48 @t47)) % 16.03/16.23 (define @t50 () (forall @t18 (=> @t17 @t49))) % 16.03/16.23 (define @t51 () (or (= @t6 tptp.sz10) @t37)) % 16.03/16.23 (define @t52 () (tptp.doDivides0 @t6 @t1)) % 16.03/16.23 (define @t53 () (and @t8 @t52)) % 16.03/16.23 (define @t54 () (=> @t53 @t51)) % 16.03/16.23 (define @t55 () (@list @t6)) % 16.03/16.23 (define @t56 () (forall @t55 @t54)) % 16.03/16.23 (define @t57 () (not @t40)) % 16.03/16.23 (define @t58 () (and @t29 @t57 @t56)) % 16.03/16.23 (define @t59 () (tptp.isPrime0 @t1)) % 16.03/16.23 (define @t60 () (= @t59 @t58)) % 16.03/16.23 (define @t61 () (=> @t2 @t60)) % 16.03/16.23 (define @t62 () (forall @t3 @t61)) % 16.03/16.23 (define @t63 () (tptp.isPrime0 @t6)) % 16.03/16.23 (define @t64 () (and @t8 @t52 @t63)) % 16.03/16.23 (define @t65 () (exists @t55 @t64)) % 16.03/16.23 (define @t66 () (and @t2 @t29 @t57)) % 16.03/16.23 (define @t67 () (=> @t66 @t65)) % 16.03/16.23 (define @t68 () (forall @t3 @t67)) % 16.03/16.23 (define @t69 () (tptp.aNaturalNumber0 tptp.xp)) % 16.03/16.23 (define @t70 () (@var "W3" $$unsorted)) % 16.03/16.23 (define @t71 () (tptp.sdtasdt0 @t13 @t70)) % 16.03/16.23 (define @t72 () (tptp.aNaturalNumber0 @t70)) % 16.03/16.23 (define @t73 () (@list @t70)) % 16.03/16.23 (define @t74 () (@var "W4" $$unsorted)) % 16.03/16.23 (define @t75 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 16.03/16.23 (define @t76 () (tptp.sdtasdt0 tptp.xp @t1)) % 16.03/16.23 (define @t77 () (= @t1 tptp.xp)) % 16.03/16.23 (define @t78 () (or @t40 @t77)) % 16.03/16.23 (define @t79 () (tptp.doDivides0 @t1 tptp.xp)) % 16.03/16.23 (define @t80 () (and @t8 (= tptp.xp @t11))) % 16.03/16.23 (define @t81 () (exists @t55 @t80)) % 16.03/16.23 (define @t82 () (or @t81 @t79)) % 16.03/16.23 (define @t83 () (and @t2 @t82)) % 16.03/16.23 (define @t84 () (=> @t83 @t78)) % 16.03/16.23 (define @t85 () (forall @t3 @t84)) % 16.03/16.23 (define @t86 () (= tptp.xp tptp.sz10)) % 16.03/16.23 (define @t87 () (= tptp.xp tptp.sz00)) % 16.03/16.23 (define @t88 () (tptp.sdtpldt0 tptp.xp tptp.xr)) % 16.03/16.23 (define @t89 () (tptp.aNaturalNumber0 tptp.xr)) % 16.03/16.23 (define @t90 () (tptp.sdtasdt0 tptp.xr tptp.xm)) % 16.03/16.23 (define @t91 () (tptp.doDivides0 tptp.xp tptp.xm)) % 16.03/16.23 (define @t92 () (= tptp.xm @t76)) % 16.03/16.23 (define @t93 () (and @t2 @t92)) % 16.03/16.23 (define @t94 () (exists @t3 @t93)) % 16.03/16.23 (define @t95 () (and @t94 @t91)) % 16.03/16.23 (define @t96 () (tptp.doDivides0 tptp.xp tptp.xr)) % 16.03/16.23 (define @t97 () (and @t2 (= tptp.xr @t76))) % 16.03/16.23 (define @t98 () (exists @t3 @t97)) % 16.03/16.23 (define @t99 () (and @t98 @t96)) % 16.03/16.23 (define @t100 () (or @t99 @t95)) % 16.03/16.23 (define @t101 () (tptp.doDivides0 tptp.xp tptp.xn)) % 16.03/16.23 (define @t102 () (= tptp.xn @t76)) % 16.03/16.23 (define @t103 () (and @t2 @t102)) % 16.03/16.23 (define @t104 () (exists @t3 @t103)) % 16.03/16.23 (define @t105 () (or @t104 @t101 @t94 @t91)) % 16.03/16.23 (define @t106 () (not @t105)) % 16.03/16.23 (define @t107 () (not @t63)) % 16.03/16.23 (define @t108 () (not @t52)) % 16.03/16.23 (define @t109 () (not @t8)) % 16.03/16.23 (define @t110 () (or @t109 @t108 @t107)) % 16.03/16.23 (define @t111 () (not (forall @t55 @t110))) % 16.03/16.23 (define @t112 () (not @t2)) % 16.03/16.23 (define @t113 () (or @t112 @t28 @t40 @t111)) % 16.03/16.23 (define @t114 () (not @t57)) % 16.03/16.23 (define @t115 () (not @t29)) % 16.03/16.23 (define @t116 () (or @t112 @t115 @t114)) % 16.03/16.23 (define @t117 () (forall @t55 (not @t64))) % 16.03/16.23 (define @t118 () (not @t117)) % 16.03/16.23 (define @t119 () (forall @t55 (or @t109 (not (tptp.doDivides0 @t6 tptp.xp)) @t107))) % 16.03/16.23 (define @t120 () (not @t119)) % 16.03/16.23 (define @t121 () (not @t69)) % 16.03/16.23 (define @t122 () (or @t121 @t87 @t86 @t120)) % 16.03/16.23 (define @t123 () (forall @t3 @t113)) % 16.03/16.23 (define @t124 () (= tptp.sz10 tptp.xp)) % 16.03/16.23 (define @t125 () (= tptp.sz00 tptp.xp)) % 16.03/16.23 (define @t126 () (or @t121 @t125 @t124 @t120)) % 16.03/16.23 (define @t127 () (@list false)) % 16.03/16.23 (define @t128 () (@quantifiers_skolemize @t119 0)) % 16.03/16.23 (define @t129 () (tptp.doDivides0 @t128 tptp.xp)) % 16.03/16.23 (define @t130 () (tptp.isPrime0 @t128)) % 16.03/16.23 (define @t131 () (not @t130)) % 16.03/16.23 (define @t132 () (not @t129)) % 16.03/16.23 (define @t133 () (tptp.aNaturalNumber0 @t128)) % 16.03/16.23 (define @t134 () (not @t133)) % 16.03/16.23 (define @t135 () (or @t134 @t132 @t131)) % 16.03/16.23 (define @t136 () (@list true)) % 16.03/16.23 (define @t137 () (@list @t135)) % 16.03/16.23 (define @t138 () (not @t79)) % 16.03/16.23 (define @t139 () (@var "BOUND_VARIABLE_8304" $$unsorted)) % 16.03/16.23 (define @t140 () (tptp.sdtasdt0 @t1 @t139)) % 16.03/16.23 (define @t141 () (not (= @t140 tptp.xp))) % 16.03/16.23 (define @t142 () (not (tptp.aNaturalNumber0 @t139))) % 16.03/16.23 (define @t143 () (or @t142 @t141)) % 16.03/16.23 (define @t144 () (and @t143 @t138)) % 16.03/16.23 (define @t145 () (or @t112 @t144 @t40 @t77)) % 16.03/16.23 (define @t146 () (@list @t1 @t139)) % 16.03/16.23 (define @t147 () (forall @t146 @t145)) % 16.03/16.23 (define @t148 () (@list @t139)) % 16.03/16.23 (define @t149 () (forall @t148 @t145)) % 16.03/16.23 (define @t150 () (forall @t148 @t138)) % 16.03/16.23 (define @t151 () (forall @t148 @t143)) % 16.03/16.23 (define @t152 () (and @t151 @t150)) % 16.03/16.23 (define @t153 () (forall @t148 @t144)) % 16.03/16.23 (define @t154 () (or @t112 @t153 @t40 @t77)) % 16.03/16.23 (define @t155 () (= @t11 tptp.xp)) % 16.03/16.23 (define @t156 () (forall @t55 (or @t109 (not @t155)))) % 16.03/16.23 (define @t157 () (and @t156 @t138)) % 16.03/16.23 (define @t158 () (or @t112 @t157 @t40 @t77)) % 16.03/16.23 (define @t159 () (not @t156)) % 16.03/16.23 (define @t160 () (or @t159 @t79)) % 16.03/16.23 (define @t161 () (and @t2 @t160)) % 16.03/16.23 (define @t162 () (and @t8 @t155)) % 16.03/16.23 (define @t163 () (forall @t55 (not @t162))) % 16.03/16.23 (define @t164 () (not @t163)) % 16.03/16.23 (define @t165 () (not @t5)) % 16.03/16.23 (define @t166 () (and (or @t165 (not (= tptp.xp (tptp.sdtasdt0 @t128 tptp.sz10)))) @t132)) % 16.03/16.23 (define @t167 () (or @t134 @t166 (= @t128 tptp.sz10) (= @t128 tptp.xp))) % 16.03/16.23 (define @t168 () (forall @t146 (or @t112 (and (or @t142 (not (= tptp.xp @t140))) @t138) @t40 @t77))) % 16.03/16.23 (define @t169 () (= tptp.xp @t128)) % 16.03/16.23 (define @t170 () (= tptp.sz10 @t128)) % 16.03/16.23 (define @t171 () (or @t134 @t166 @t170 @t169)) % 16.03/16.23 (define @t172 () (= tptp.sz10 @t6)) % 16.03/16.23 (define @t173 () (or @t109 @t108 @t172 @t34)) % 16.03/16.23 (define @t174 () (= @t59 (and @t29 @t57 (forall @t55 @t173)))) % 16.03/16.23 (define @t175 () (or @t172 @t34)) % 16.03/16.23 (define @t176 () (tptp.isPrime0 tptp.sz10)) % 16.03/16.23 (define @t177 () (not (tptp.doDivides0 @t6 tptp.sz10))) % 16.03/16.23 (define @t178 () (or @t109 @t177 @t172)) % 16.03/16.23 (define @t179 () (or @t109 @t177 @t172 @t172)) % 16.03/16.23 (define @t180 () (forall @t55 @t179)) % 16.03/16.23 (define @t181 () (not (= tptp.sz10 tptp.sz10))) % 16.03/16.23 (define @t182 () (and @t4 @t181 @t180)) % 16.03/16.23 (define @t183 () (= @t176 @t182)) % 16.03/16.23 (define @t184 () (or @t165 @t183)) % 16.03/16.23 (define @t185 () (forall @t3 (or @t112 @t174))) % 16.03/16.23 (define @t186 () (not @t176)) % 16.03/16.23 (define @t187 () (or @t165 @t186)) % 16.03/16.23 (define @t188 () (not @t170)) % 16.03/16.23 (define @t189 () (= true false)) % 16.03/16.23 (define @t190 () (and @t186 @t170 @t130)) % 16.03/16.23 (define @t191 () (not @t166)) % 16.03/16.23 (define @t192 () (not @t46)) % 16.03/16.23 (define @t193 () (not @t43)) % 16.03/16.23 (define @t194 () (not @t16)) % 16.03/16.23 (define @t195 () (or @t193 @t192 @t47)) % 16.03/16.23 (define @t196 () (or @t112 @t109 @t194)) % 16.03/16.23 (define @t197 () (forall @t3 (or @t112 (not @t92)))) % 16.03/16.23 (define @t198 () (not @t197)) % 16.03/16.23 (define @t199 () (tptp.doDivides0 tptp.xp @t88)) % 16.03/16.23 (define @t200 () (not (= @t88 @t76))) % 16.03/16.23 (define @t201 () (or @t112 @t200)) % 16.03/16.23 (define @t202 () (forall @t3 @t201)) % 16.03/16.23 (define @t203 () (not @t202)) % 16.03/16.23 (define @t204 () (or @t203 @t199 @t198 @t91)) % 16.03/16.23 (define @t205 () (not @t102)) % 16.03/16.23 (define @t206 () (or @t112 @t205)) % 16.03/16.23 (define @t207 () (forall @t3 @t206)) % 16.03/16.23 (define @t208 () (not @t207)) % 16.03/16.23 (define @t209 () (or @t208 @t101 @t198 @t91)) % 16.03/16.23 (define @t210 () (forall @t3 (not @t93))) % 16.03/16.23 (define @t211 () (not @t210)) % 16.03/16.23 (define @t212 () (forall @t3 (not @t103))) % 16.03/16.23 (define @t213 () (not @t212)) % 16.03/16.23 (define @t214 () (and @t198 @t91)) % 16.03/16.23 (define @t215 () (not @t214)) % 16.03/16.23 (define @t216 () (= @t76 tptp.xr)) % 16.03/16.23 (define @t217 () (and @t2 @t216)) % 16.03/16.23 (define @t218 () (forall @t3 (not @t217))) % 16.03/16.23 (define @t219 () (not @t218)) % 16.03/16.23 (define @t220 () (and (not (forall @t3 (or @t112 (not @t216)))) @t96)) % 16.03/16.23 (define @t221 () (not @t96)) % 16.03/16.23 (define @t222 () (tptp.doDivides0 tptp.xp tptp.xp)) % 16.03/16.23 (define @t223 () (not @t222)) % 16.03/16.23 (define @t224 () (not @t89)) % 16.03/16.23 (define @t225 () (or @t121 @t121 @t224 @t223 @t221 @t199)) % 16.03/16.23 (define @t226 () (not @t169)) % 16.03/16.23 (define @t227 () (and @t223 @t169 @t129)) % 16.03/16.23 (assume @p1 (forall @t3 (=> @t2 true))) % 16.03/16.23 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 16.03/16.23 (assume @p3 (and @t5 @t4)) % 16.03/16.23 (assume @p4 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t7)))) % 16.03/16.23 (assume @p5 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t11)))) % 16.03/16.23 (assume @p6 (forall @t10 (=> @t9 (= @t7 @t12)))) % 16.03/16.23 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 16.03/16.23 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 16.03/16.23 (assume @p9 (forall @t10 (=> @t9 (= @t11 @t19)))) % 16.03/16.23 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t11 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t13)))))) % 16.03/16.23 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 16.03/16.23 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 16.03/16.23 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t11 @t21)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t20)))))) % 16.03/16.23 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t7 @t24) (= @t12 @t23)) @t22)))) % 16.03/16.23 (assume @p15 (forall @t3 (=> @t2 (=> @t29 (forall (@list @t6 @t13) (=> @t27 (=> (or @t26 @t25) @t22))))))) % 16.03/16.23 (assume @p16 (forall @t10 (=> @t9 (=> (= @t7 tptp.sz00) (and @t28 @t30))))) % 16.03/16.23 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or @t28 @t30))))) % 16.03/16.23 (assume @p18 (forall @t10 (=> @t9 (= @t33 (exists @t32 @t31))))) % 16.03/16.23 (assume @p19 (forall @t10 (=> @t9 (=> @t33 (forall @t32 (= (= @t13 (tptp.sdtmndt0 @t6 @t1)) @t31)))))) % 16.03/16.23 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 16.03/16.23 (assume @p21 (forall @t10 (=> @t9 (=> (and @t33 @t35) @t34)))) % 16.03/16.23 (assume @p22 (forall @t18 (=> @t17 (=> (and @t33 @t36) (tptp.sdtlseqdt0 @t1 @t13))))) % 16.03/16.23 (assume @p23 (forall @t10 (=> @t9 (or @t33 (and (not @t37) @t35))))) % 16.03/16.23 (assume @p24 (forall @t10 (=> @t9 (=> @t39 (forall @t32 (=> @t16 (and (not (= @t23 @t38)) (tptp.sdtlseqdt0 @t23 @t38) (not (= @t24 @t14)) (tptp.sdtlseqdt0 @t24 @t14)))))))) % 16.03/16.23 (assume @p25 (forall @t18 (=> @t17 (=> (and @t29 (not @t22) @t36) (and (not @t26) (tptp.sdtlseqdt0 @t11 @t21) (not @t25) (tptp.sdtlseqdt0 @t19 @t20)))))) % 16.03/16.23 (assume @p26 (forall @t3 (=> @t2 (or @t28 @t40 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 16.03/16.23 (assume @p27 (forall @t10 (=> @t9 (=> @t29 (tptp.sdtlseqdt0 @t6 @t19))))) % 16.03/16.23 (assume @p28 (forall @t10 (=> @t9 (=> @t41 true)))) % 16.03/16.23 (assume @p29 (forall @t10 (=> @t9 (=> @t39 @t41)))) % 16.03/16.23 (assume @p30 (forall @t10 (=> @t9 (= @t43 (exists @t32 @t42))))) % 16.03/16.23 (assume @p31 (forall @t10 (=> @t9 (=> @t45 (forall @t32 (= (= @t13 @t44) @t42)))))) % 16.03/16.23 (assume @p32 (forall @t18 (=> @t17 (=> (and @t43 (tptp.doDivides0 @t6 @t13)) @t46)))) % 16.03/16.23 (assume @p33 @t50) % 16.03/16.23 (assume @p34 (forall @t18 (=> @t17 (=> (and @t43 @t47) @t46)))) % 16.03/16.23 (assume @p35 (forall @t10 (=> @t9 (=> (and @t43 (not @t30)) @t33)))) % 16.03/16.23 (assume @p36 (forall @t10 (=> @t9 (=> @t45 (forall @t32 (=> @t16 (= (tptp.sdtasdt0 @t13 @t44) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t6) @t1)))))))) % 16.03/16.23 (assume @p37 @t62) % 16.03/16.23 (assume @p38 @t68) % 16.03/16.23 (assume @p39 (and (tptp.aNaturalNumber0 tptp.xn) (tptp.aNaturalNumber0 tptp.xm) @t69)) % 16.03/16.23 (assume @p40 (forall @t18 (=> @t17 (=> (and (or (and (not (= @t13 tptp.sz00)) (not (= @t13 tptp.sz10)) (forall @t73 (=> (and @t72 (exists (@list @t74) (and (tptp.aNaturalNumber0 @t74) (= @t13 (tptp.sdtasdt0 @t70 @t74)))) (tptp.doDivides0 @t70 @t13)) (or (= @t70 tptp.sz10) (= @t70 @t13))))) (tptp.isPrime0 @t13)) (or (exists @t73 (and @t72 (= @t11 @t71))) (tptp.doDivides0 @t13 @t11))) (=> (tptp.iLess0 @t15 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (and (exists @t73 (and @t72 (= @t1 @t71))) (tptp.doDivides0 @t13 @t1)) (and (exists @t73 (and @t72 (= @t6 @t71))) (tptp.doDivides0 @t13 @t6)))))))) % 16.03/16.23 (assume @p41 (and (not @t87) (not @t86) @t85 (tptp.isPrime0 tptp.xp) (exists @t3 (and @t2 (= @t75 @t76))) (tptp.doDivides0 tptp.xp @t75))) % 16.03/16.23 (assume @p42 (and (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xp @t1) tptp.xn))) (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 16.03/16.23 (assume @p43 (and @t89 (= @t88 tptp.xn) (= tptp.xr (tptp.sdtmndt0 tptp.xn tptp.xp)))) % 16.03/16.23 (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))) % 16.03/16.23 (assume @p45 (and (exists @t3 (and @t2 (= @t90 @t76))) (tptp.doDivides0 tptp.xp @t90))) % 16.03/16.23 (assume @p46 @t100) % 16.03/16.23 (assume @p47 @t106) % 16.03/16.23 (assume @p48 true) % 16.03/16.23 (step @p49 :rule aci_norm :args ((= (or (or @t112 @t28 @t40) @t111) @t113))) % 16.03/16.23 (step @p50 :rule refl :args (@t111)) % 16.03/16.23 (step @p51 :rule bool-double-not-elim :args (@t40)) % 16.03/16.23 (step @p52 :rule bool-double-not-elim :args (@t28)) % 16.03/16.23 (step @p53 :rule refl :args (@t112)) % 16.03/16.23 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args (@t116)) % 16.03/16.23 (step @p55 :rule aci_norm :args ((= (or @t112 (or @t115 @t114)) @t116))) % 16.03/16.23 (step @p56 :rule trans :premises (@p55 @p54)) % 16.03/16.23 (step @p57 :rule bool-and-de-morgan :args (@t29 @t57 true)) % 16.03/16.23 (step @p58 :rule nary_cong :premises (@p53 @p57) :args ((or @t112 (not (and @t29 @t57))))) % 16.03/16.23 (step @p59 :rule bool-and-de-morgan :args (@t2 @t29 (and @t57))) % 16.03/16.23 (step @p60 :rule trans :premises (@p59 @p58)) % 16.03/16.23 (step @p61 :rule trans :premises (@p60 @p56)) % 16.03/16.23 (step @p62 :rule nary_cong :premises (@p61 @p50) :args ((or (not @t66) @t111))) % 16.03/16.23 (step @p63 :rule trans :premises (@p62 @p49)) % 16.03/16.23 (step @p64 :rule bool-impl-elim :args (@t66 @t111)) % 16.03/16.23 (step @p65 :rule trans :premises (@p64 @p63)) % 16.03/16.23 (step @p66 :rule cong :premises (@p65) :args ((forall @t3 (=> @t66 @t111)))) % 16.03/16.23 (step @p67 :rule aci_norm :args ((= (or @t109 (or @t108 @t107)) @t110))) % 16.03/16.23 (step @p68 :rule bool-and-de-morgan :args (@t52 @t63 true)) % 16.03/16.23 (step @p69 :rule refl :args (@t109)) % 16.03/16.23 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t109 (not (and @t52 @t63))))) % 16.03/16.23 (step @p71 :rule bool-and-de-morgan :args (@t8 @t52 (and @t63))) % 16.03/16.23 (step @p72 :rule trans :premises (@p71 @p70)) % 16.03/16.23 (step @p73 :rule trans :premises (@p72 @p67)) % 16.03/16.23 (step @p74 :rule cong :premises (@p73) :args (@t117)) % 16.03/16.23 (step @p75 :rule cong :premises (@p74) :args (@t118)) % 16.03/16.23 (step @p76 :rule exists-elim :args ((= @t65 @t118))) % 16.03/16.23 (step @p77 :rule trans :premises (@p76 @p75)) % 16.03/16.23 (step @p78 :rule refl :args (@t66)) % 16.03/16.23 (step @p79 :rule cong :premises (@p78 @p77) :args (@t67)) % 16.03/16.23 (step @p80 :rule cong :premises (@p79) :args (@t68)) % 16.03/16.23 (step @p81 :rule trans :premises (@p80 @p66)) % 16.03/16.23 (step @p82 :rule eq_resolve :premises (@p38 @p81)) % 16.03/16.23 (step @p83 :rule refl :args (@t120)) % 16.03/16.23 (step @p84 :rule eq-symm :args (tptp.xp tptp.sz10)) % 16.03/16.23 (step @p85 :rule eq-symm :args (tptp.xp tptp.sz00)) % 16.03/16.23 (step @p86 :rule refl :args (@t121)) % 16.03/16.23 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84 @p83) :args (@t122)) % 16.03/16.23 (step @p88 :rule refl :args (@t123)) % 16.03/16.23 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t123 @t122))) % 16.03/16.23 (assume-push @p414 @t123) % 16.03/16.23 (step @p91 :rule instantiate :premises (@p82) :args ((@list tptp.xp))) % 16.03/16.23 (step-pop @p415 :rule scope :premises (@p91)) % 16.03/16.23 (step @p92 :rule process_scope :premises (@p415) :args (@t122)) % 16.03/16.23 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 16.03/16.23 (step @p95 :rule implies_elim :premises (@p94)) % 16.03/16.23 (step @p96 :rule chain_m_resolution :premises (@p95 @p82) :args (@t126 @t127 (@list @t123))) % 16.03/16.23 (step @p97 :rule and_elim :premises (@p39) :args (2)) % 16.03/16.23 (step @p98 :rule and_elim :premises (@p41) :args (0)) % 16.03/16.23 (step @p99 :rule symm :premises (@p98)) % 16.03/16.23 (step @p100 :rule and_elim :premises (@p41) :args (1)) % 16.03/16.23 (step @p101 :rule symm :premises (@p100)) % 16.03/16.23 (step @p102 :rule cnf_or_pos :args (@t126)) % 16.03/16.23 (step @p103 :rule reordering :premises (@p102) :args ((or @t124 @t125 @t121 @t120 (not @t126)))) % 16.03/16.23 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p99 @p97 @p96) :args (@t120 (@list true true false false) (@list @t124 @t125 @t69 @t126))) % 16.03/16.23 (step @p105 :rule skolemize :premises (@p104)) % 16.03/16.23 (step @p106 :rule bool-double-not-elim :args (@t129)) % 16.03/16.23 (step @p107 :rule refl :args (@t135)) % 16.03/16.23 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t135 (not @t132)))) % 16.03/16.23 (step @p109 :rule cnf_or_neg :args (@t135 1)) % 16.03/16.23 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 16.03/16.23 (step @p111 :rule reordering :premises (@p110) :args ((or @t129 @t135))) % 16.03/16.23 (step @p112 :rule chain_m_resolution :premises (@p111 @p105) :args (@t129 @t136 @t137)) % 16.03/16.23 (step @p113 :rule refl :args (@t77)) % 16.03/16.23 (step @p114 :rule refl :args (@t40)) % 16.03/16.23 (step @p115 :rule refl :args (@t138)) % 16.03/16.23 (step @p116 :rule eq-symm :args (@t140 tptp.xp)) % 16.03/16.23 (step @p117 :rule cong :premises (@p116) :args (@t141)) % 16.03/16.23 (step @p118 :rule refl :args (@t142)) % 16.03/16.23 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t143)) % 16.03/16.23 (step @p120 :rule nary_cong :premises (@p119 @p115) :args (@t144)) % 16.03/16.23 (step @p121 :rule refl :args (@t112)) % 16.03/16.23 (step @p122 :rule nary_cong :premises (@p121 @p120 @p114 @p113) :args (@t145)) % 16.03/16.23 (step @p123 :rule cong :premises (@p122) :args (@t147)) % 16.03/16.23 (step @p124 :rule quant-merge-prenex :args ((= (forall @t3 @t149) @t147))) % 16.03/16.23 (step @p125 :rule refl :args (@t77)) % 16.03/16.23 (step @p126 :rule refl :args (@t40)) % 16.03/16.23 (step @p127 :rule quant-unused-vars :args ((= @t150 @t138))) % 16.03/16.23 (step @p128 :rule alpha_equiv :args (@t151 (@list @t139) (@list @t6))) % 16.03/16.23 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t152)) % 16.03/16.23 (step @p130 :rule quant-miniscope-and :args ((= @t153 @t152))) % 16.03/16.23 (step @p131 :rule trans :premises (@p130 @p129)) % 16.03/16.23 (step @p132 :rule nary_cong :premises (@p53 @p131 @p126 @p125) :args (@t154)) % 16.03/16.23 (step @p133 :rule quant-miniscope-or :args ((= @t149 @t154))) % 16.03/16.23 (step @p134 :rule trans :premises (@p133 @p132)) % 16.03/16.23 (step @p135 :rule symm :premises (@p134)) % 16.03/16.23 (step @p136 :rule cong :premises (@p135) :args ((forall @t3 @t158))) % 16.03/16.23 (step @p137 :rule trans :premises (@p136 @p124)) % 16.03/16.23 (step @p138 :rule trans :premises (@p137 @p123)) % 16.03/16.23 (step @p139 :rule aci_norm :args ((= (or (or @t112 @t157) @t78) @t158))) % 16.03/16.23 (step @p140 :rule refl :args (@t78)) % 16.03/16.23 (step @p141 :rule refl :args (@t138)) % 16.03/16.23 (step @p142 :rule bool-double-not-elim :args (@t156)) % 16.03/16.23 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((and (not @t159) @t138))) % 16.03/16.23 (step @p144 :rule bool-or-de-morgan :args (@t159 @t79 false)) % 16.03/16.23 (step @p145 :rule trans :premises (@p144 @p143)) % 16.03/16.23 (step @p146 :rule nary_cong :premises (@p53 @p145) :args ((or @t112 (not @t160)))) % 16.03/16.23 (step @p147 :rule bool-and-de-morgan :args (@t2 @t160 true)) % 16.03/16.23 (step @p148 :rule trans :premises (@p147 @p146)) % 16.03/16.23 (step @p149 :rule nary_cong :premises (@p148 @p140) :args ((or (not @t161) @t78))) % 16.03/16.23 (step @p150 :rule trans :premises (@p149 @p139)) % 16.03/16.23 (step @p151 :rule bool-impl-elim :args (@t161 @t78)) % 16.03/16.23 (step @p152 :rule trans :premises (@p151 @p150)) % 16.03/16.23 (step @p153 :rule cong :premises (@p152) :args ((forall @t3 (=> @t161 @t78)))) % 16.03/16.23 (step @p154 :rule trans :premises (@p153 @p138)) % 16.03/16.23 (step @p155 :rule refl :args (@t78)) % 16.03/16.23 (step @p156 :rule refl :args (@t79)) % 16.03/16.23 (step @p157 :rule bool-and-de-morgan :args (@t8 @t155 true)) % 16.03/16.23 (step @p158 :rule cong :premises (@p157) :args (@t163)) % 16.03/16.23 (step @p159 :rule cong :premises (@p158) :args (@t164)) % 16.03/16.23 (step @p160 :rule exists-elim :args ((= (exists @t55 @t162) @t164))) % 16.03/16.23 (step @p161 :rule trans :premises (@p160 @p159)) % 16.03/16.23 (step @p162 :rule eq-symm :args (tptp.xp @t11)) % 16.03/16.23 (step @p163 :rule refl :args (@t8)) % 16.03/16.23 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t80)) % 16.03/16.23 (step @p165 :rule cong :premises (@p164) :args (@t81)) % 16.03/16.23 (step @p166 :rule trans :premises (@p165 @p161)) % 16.03/16.23 (step @p167 :rule nary_cong :premises (@p166 @p156) :args (@t82)) % 16.03/16.23 (step @p168 :rule refl :args (@t2)) % 16.03/16.23 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t83)) % 16.03/16.23 (step @p170 :rule cong :premises (@p169 @p155) :args (@t84)) % 16.03/16.23 (step @p171 :rule cong :premises (@p170) :args (@t85)) % 16.03/16.23 (step @p172 :rule trans :premises (@p171 @p154)) % 16.03/16.23 (step @p173 :rule and_elim :premises (@p41) :args (2)) % 16.03/16.23 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 16.03/16.23 (step @p175 :rule eq-symm :args (@t128 tptp.xp)) % 16.03/16.23 (step @p176 :rule eq-symm :args (@t128 tptp.sz10)) % 16.03/16.23 (step @p177 :rule refl :args (@t166)) % 16.03/16.23 (step @p178 :rule refl :args (@t134)) % 16.03/16.23 (step @p179 :rule nary_cong :premises (@p178 @p177 @p176 @p175) :args (@t167)) % 16.03/16.23 (step @p180 :rule refl :args (@t168)) % 16.03/16.23 (step @p181 :rule cong :premises (@p180 @p179) :args ((=> @t168 @t167))) % 16.03/16.23 (assume-push @p416 @t168) % 16.03/16.23 (step @p183 :rule instantiate :premises (@p174) :args ((@list @t128 tptp.sz10))) % 16.03/16.23 (step-pop @p417 :rule scope :premises (@p183)) % 16.03/16.23 (step @p184 :rule process_scope :premises (@p417) :args (@t167)) % 16.03/16.23 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 16.03/16.23 (step @p187 :rule implies_elim :premises (@p186)) % 16.03/16.23 (step @p188 :rule chain_m_resolution :premises (@p187 @p174) :args (@t171 @t127 (@list @t168))) % 16.03/16.23 (step @p189 :rule bool-double-not-elim :args (@t130)) % 16.03/16.23 (step @p190 :rule nary_cong :premises (@p107 @p189) :args ((or @t135 (not @t131)))) % 16.03/16.23 (step @p191 :rule cnf_or_neg :args (@t135 2)) % 16.03/16.23 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 16.03/16.23 (step @p193 :rule reordering :premises (@p192) :args ((or @t130 @t135))) % 16.03/16.23 (step @p194 :rule chain_m_resolution :premises (@p193 @p105) :args (@t130 @t136 @t137)) % 16.03/16.23 (step @p195 :rule bool-impl-elim :args (@t2 @t174)) % 16.03/16.23 (step @p196 :rule cong :premises (@p195) :args ((forall @t3 (=> @t2 @t174)))) % 16.03/16.23 (step @p197 :rule aci_norm :args ((= (or (or @t109 @t108) @t175) @t173))) % 16.03/16.23 (step @p198 :rule refl :args (@t175)) % 16.03/16.23 (step @p199 :rule bool-and-de-morgan :args (@t8 @t52 true)) % 16.03/16.23 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or (not @t53) @t175))) % 16.03/16.23 (step @p201 :rule trans :premises (@p200 @p197)) % 16.03/16.23 (step @p202 :rule bool-impl-elim :args (@t53 @t175)) % 16.03/16.23 (step @p203 :rule trans :premises (@p202 @p201)) % 16.03/16.23 (step @p204 :rule cong :premises (@p203) :args ((forall @t55 (=> @t53 @t175)))) % 16.03/16.23 (step @p205 :rule eq-symm :args (@t6 @t1)) % 16.03/16.23 (step @p206 :rule eq-symm :args (@t6 tptp.sz10)) % 16.03/16.23 (step @p207 :rule nary_cong :premises (@p206 @p205) :args (@t51)) % 16.03/16.23 (step @p208 :rule refl :args (@t53)) % 16.03/16.23 (step @p209 :rule cong :premises (@p208 @p207) :args (@t54)) % 16.03/16.23 (step @p210 :rule cong :premises (@p209) :args (@t56)) % 16.03/16.23 (step @p211 :rule trans :premises (@p210 @p204)) % 16.03/16.23 (step @p212 :rule refl :args (@t57)) % 16.03/16.23 (step @p213 :rule refl :args (@t29)) % 16.03/16.23 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211) :args (@t58)) % 16.03/16.23 (step @p215 :rule refl :args (@t59)) % 16.03/16.23 (step @p216 :rule cong :premises (@p215 @p214) :args (@t60)) % 16.03/16.23 (step @p217 :rule cong :premises (@p168 @p216) :args (@t61)) % 16.03/16.23 (step @p218 :rule cong :premises (@p217) :args (@t62)) % 16.03/16.23 (step @p219 :rule trans :premises (@p218 @p196)) % 16.03/16.23 (step @p220 :rule eq_resolve :premises (@p37 @p219)) % 16.03/16.23 (step @p221 :rule bool-eq-false :args (@t176)) % 16.03/16.23 (step @p222 :rule absorb :args ((= (and (not (= tptp.sz00 tptp.sz10)) false (forall @t55 @t178)) false))) % 16.03/16.23 (step @p223 :rule aci_norm :args ((= @t179 @t178))) % 16.03/16.23 (step @p224 :rule cong :premises (@p223) :args (@t180)) % 16.03/16.23 (step @p225 :rule evaluate :args ((not true))) % 16.03/16.23 (step @p226 :rule eq-refl :args (tptp.sz10)) % 16.03/16.23 (step @p227 :rule cong :premises (@p226) :args (@t181)) % 16.03/16.23 (step @p228 :rule trans :premises (@p227 @p225)) % 16.03/16.23 (step @p229 :rule eq-symm :args (tptp.sz10 tptp.sz00)) % 16.03/16.23 (step @p230 :rule cong :premises (@p229) :args (@t4)) % 16.03/16.23 (step @p231 :rule nary_cong :premises (@p230 @p228 @p224) :args (@t182)) % 16.03/16.23 (step @p232 :rule trans :premises (@p231 @p222)) % 16.03/16.23 (step @p233 :rule refl :args (@t176)) % 16.03/16.23 (step @p234 :rule cong :premises (@p233 @p232) :args (@t183)) % 16.03/16.23 (step @p235 :rule trans :premises (@p234 @p221)) % 16.03/16.23 (step @p236 :rule refl :args (@t165)) % 16.03/16.23 (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t184)) % 16.03/16.23 (step @p238 :rule refl :args (@t185)) % 16.03/16.23 (step @p239 :rule cong :premises (@p238 @p237) :args ((=> @t185 @t184))) % 16.03/16.23 (assume-push @p418 @t185) % 16.03/16.23 (step @p241 :rule instantiate :premises (@p220) :args ((@list tptp.sz10))) % 16.03/16.23 (step-pop @p419 :rule scope :premises (@p241)) % 16.03/16.23 (step @p242 :rule process_scope :premises (@p419) :args (@t184)) % 16.03/16.23 (step @p244 :rule eq_resolve :premises (@p242 @p239)) % 16.03/16.23 (step @p245 :rule implies_elim :premises (@p244)) % 16.03/16.23 (step @p246 :rule chain_m_resolution :premises (@p245 @p220) :args (@t187 @t127 (@list @t185))) % 16.03/16.23 (step @p247 :rule and_elim :premises (@p3) :args (0)) % 16.03/16.23 (step @p248 :rule cnf_or_pos :args (@t187)) % 16.03/16.23 (step @p249 :rule reordering :premises (@p248) :args ((or @t165 @t186 (not @t187)))) % 16.03/16.23 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p246) :args (@t186 (@list false false) (@list @t5 @t187))) % 16.03/16.23 (step @p251 :rule refl :args (@t188)) % 16.03/16.23 (step @p252 :rule refl :args (@t131)) % 16.03/16.23 (step @p253 :rule bool-double-not-elim :args (@t176)) % 16.03/16.23 (step @p254 :rule nary_cong :premises (@p253 @p252 @p251) :args ((or (not @t186) @t131 @t188))) % 16.03/16.23 (assume-push @p420 @t186) % 16.03/16.23 (assume-push @p421 @t170) % 16.03/16.23 (assume-push @p422 @t130) % 16.03/16.23 (step @p258 :rule evaluate :args (@t189)) % 16.03/16.23 (step @p259 :rule false_intro :premises (@p250)) % 16.03/16.23 (step @p260 :rule symm :premises (@p421)) % 16.03/16.23 (step @p261 :rule cong :premises (@p260) :args (@t130)) % 16.03/16.23 (step @p262 :rule true_intro :premises (@p194)) % 16.03/16.23 (step @p263 :rule symm :premises (@p262)) % 16.03/16.23 (step @p264 :rule trans :premises (@p263 @p261 @p259)) % 16.03/16.23 (step @p265 false :rule eq_resolve :premises (@p264 @p258)) % 16.03/16.23 (step-pop @p423 :rule scope :premises (@p265)) % 16.03/16.23 (step-pop @p424 :rule scope :premises (@p423)) % 16.03/16.23 (step-pop @p425 :rule scope :premises (@p424)) % 16.03/16.23 (step @p266 :rule process_scope :premises (@p425) :args (false)) % 16.03/16.23 (assume-push @p426 @t186) % 16.03/16.23 (assume-push @p427 @t130) % 16.03/16.23 (assume-push @p428 @t170) % 16.03/16.23 (step @p273 :rule and_intro :premises (@p250 @p428 @p194)) % 16.03/16.23 (step-pop @p429 :rule scope :premises (@p273)) % 16.03/16.23 (step-pop @p430 :rule scope :premises (@p429)) % 16.03/16.23 (step-pop @p431 :rule scope :premises (@p430)) % 16.03/16.23 (step @p274 :rule process_scope :premises (@p431) :args (@t190)) % 16.03/16.23 (step @p278 :rule implies_elim :premises (@p274)) % 16.03/16.23 (step @p279 :rule resolution :premises (@p278 @p266) :args (true @t190)) % 16.03/16.23 (step @p280 :rule not_and :premises (@p279)) % 16.03/16.23 (step @p281 :rule eq_resolve :premises (@p280 @p254)) % 16.03/16.23 (step @p282 :rule chain_m_resolution :premises (@p281 @p250 @p194) :args (@t188 (@list true false) (@list @t176 @t130))) % 16.03/16.23 (step @p283 :rule cnf_and_pos :args (@t166 1)) % 16.03/16.23 (step @p284 :rule reordering :premises (@p283) :args ((or @t132 @t191))) % 16.03/16.23 (step @p285 :rule chain_m_resolution :premises (@p284 @p112) :args (@t191 @t127 (@list @t129))) % 16.03/16.23 (step @p286 :rule bool-double-not-elim :args (@t133)) % 16.03/16.23 (step @p287 :rule nary_cong :premises (@p107 @p286) :args ((or @t135 (not @t134)))) % 16.03/16.23 (step @p288 :rule cnf_or_neg :args (@t135 0)) % 16.03/16.23 (step @p289 :rule eq_resolve :premises (@p288 @p287)) % 16.03/16.23 (step @p290 :rule reordering :premises (@p289) :args ((or @t133 @t135))) % 16.03/16.23 (step @p291 :rule chain_m_resolution :premises (@p290 @p105) :args (@t133 @t136 @t137)) % 16.03/16.23 (step @p292 :rule cnf_or_pos :args (@t171)) % 16.03/16.23 (step @p293 :rule reordering :premises (@p292) :args ((or @t134 @t166 @t170 @t169 (not @t171)))) % 16.03/16.23 (step @p294 :rule chain_m_resolution :premises (@p293 @p291 @p285 @p282 @p188) :args (@t169 (@list false true true false) (@list @t133 @t166 @t170 @t171))) % 16.03/16.23 (step @p295 :rule aci_norm :args ((= (or @t196 @t195) (or @t112 @t109 @t194 @t193 @t192 @t47)))) % 16.03/16.23 (step @p296 :rule aci_norm :args ((= (or (or @t193 @t192) @t47) @t195))) % 16.03/16.23 (step @p297 :rule refl :args (@t47)) % 16.03/16.23 (step @p298 :rule bool-and-de-morgan :args (@t43 @t46 true)) % 16.03/16.23 (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((or (not @t48) @t47))) % 16.03/16.23 (step @p300 :rule trans :premises (@p299 @p296)) % 16.03/16.23 (step @p301 :rule bool-impl-elim :args (@t48 @t47)) % 16.03/16.23 (step @p302 :rule trans :premises (@p301 @p300)) % 16.03/16.23 (step @p303 :rule aci_norm :args ((= (or @t112 (or @t109 @t194)) @t196))) % 16.03/16.23 (step @p304 :rule bool-and-de-morgan :args (@t8 @t16 true)) % 16.03/16.23 (step @p305 :rule nary_cong :premises (@p53 @p304) :args ((or @t112 (not @t27)))) % 16.03/16.23 (step @p306 :rule bool-and-de-morgan :args (@t2 @t8 (and @t16))) % 16.03/16.23 (step @p307 :rule trans :premises (@p306 @p305)) % 16.03/16.23 (step @p308 :rule trans :premises (@p307 @p303)) % 16.03/16.23 (step @p309 :rule nary_cong :premises (@p308 @p302) :args ((or (not @t17) @t49))) % 16.03/16.23 (step @p310 :rule trans :premises (@p309 @p295)) % 16.03/16.23 (step @p311 :rule bool-impl-elim :args (@t17 @t49)) % 16.03/16.23 (step @p312 :rule trans :premises (@p311 @p310)) % 16.03/16.23 (step @p313 :rule cong :premises (@p312) :args (@t50)) % 16.03/16.23 (step @p314 :rule eq_resolve :premises (@p33 @p313)) % 16.03/16.23 (step @p315 :rule instantiate :premises (@p314) :args ((@list tptp.xp tptp.xp tptp.xr))) % 16.03/16.23 (step @p316 :rule refl :args (@t91)) % 16.03/16.23 (step @p317 :rule refl :args (@t198)) % 16.03/16.23 (step @p318 :rule refl :args (@t199)) % 16.03/16.23 (step @p319 :rule eq-symm :args (@t88 @t76)) % 16.03/16.23 (step @p320 :rule cong :premises (@p319) :args (@t200)) % 16.03/16.23 (step @p321 :rule nary_cong :premises (@p121 @p320) :args (@t201)) % 16.03/16.23 (step @p322 :rule cong :premises (@p321) :args (@t202)) % 16.03/16.23 (step @p323 :rule cong :premises (@p322) :args (@t203)) % 16.03/16.23 (step @p324 :rule nary_cong :premises (@p323 @p318 @p317 @p316) :args (@t204)) % 16.03/16.23 (step @p325 :rule cong :premises (@p324) :args ((not @t204))) % 16.03/16.23 (step @p326 :rule and_elim :premises (@p43) :args (1)) % 16.03/16.23 (step @p327 :rule symm :premises (@p326)) % 16.03/16.23 (step @p328 :rule refl :args (tptp.xp)) % 16.03/16.23 (step @p329 :rule cong :premises (@p328 @p327) :args (@t101)) % 16.03/16.23 (step @p330 :rule refl :args (@t76)) % 16.03/16.23 (step @p331 :rule cong :premises (@p327 @p330) :args (@t102)) % 16.03/16.23 (step @p332 :rule cong :premises (@p331) :args (@t205)) % 16.03/16.23 (step @p333 :rule nary_cong :premises (@p121 @p332) :args (@t206)) % 16.03/16.23 (step @p334 :rule cong :premises (@p333) :args (@t207)) % 16.03/16.23 (step @p335 :rule cong :premises (@p334) :args (@t208)) % 16.03/16.23 (step @p336 :rule nary_cong :premises (@p335 @p329 @p317 @p316) :args (@t209)) % 16.03/16.23 (step @p337 :rule cong :premises (@p336) :args ((not @t209))) % 16.03/16.23 (step @p338 :rule trans :premises (@p337 @p325)) % 16.03/16.23 (step @p339 :rule bool-and-de-morgan :args (@t2 @t92 true)) % 16.03/16.23 (step @p340 :rule cong :premises (@p339) :args (@t210)) % 16.03/16.23 (step @p341 :rule cong :premises (@p340) :args (@t211)) % 16.03/16.23 (step @p342 :rule exists-elim :args ((= @t94 @t211))) % 16.03/16.23 (step @p343 :rule trans :premises (@p342 @p341)) % 16.03/16.23 (step @p344 :rule refl :args (@t101)) % 16.03/16.23 (step @p345 :rule bool-and-de-morgan :args (@t2 @t102 true)) % 16.03/16.23 (step @p346 :rule cong :premises (@p345) :args (@t212)) % 16.03/16.23 (step @p347 :rule cong :premises (@p346) :args (@t213)) % 16.03/16.23 (step @p348 :rule exists-elim :args ((= @t104 @t213))) % 16.03/16.23 (step @p349 :rule trans :premises (@p348 @p347)) % 16.03/16.23 (step @p350 :rule nary_cong :premises (@p349 @p344 @p343 @p316) :args (@t105)) % 16.03/16.23 (step @p351 :rule cong :premises (@p350) :args (@t106)) % 16.03/16.23 (step @p352 :rule trans :premises (@p351 @p338)) % 16.03/16.23 (step @p353 :rule eq_resolve :premises (@p47 @p352)) % 16.03/16.23 (step @p354 :rule not_or_elim :premises (@p353) :args (2)) % 16.03/16.23 (step @p355 :rule not_not_elim :premises (@p354)) % 16.03/16.23 (step @p356 :rule cnf_and_pos :args (@t214 0)) % 16.03/16.23 (step @p357 :rule reordering :premises (@p356) :args ((or @t198 @t215))) % 16.03/16.23 (step @p358 :rule chain_m_resolution :premises (@p357 @p355) :args (@t215 @t127 (@list @t197))) % 16.03/16.23 (step @p359 :rule nary_cong :premises (@p343 @p316) :args (@t95)) % 16.03/16.23 (step @p360 :rule refl :args (@t96)) % 16.03/16.23 (step @p361 :rule bool-and-de-morgan :args (@t2 @t216 true)) % 16.03/16.23 (step @p362 :rule cong :premises (@p361) :args (@t218)) % 16.03/16.23 (step @p363 :rule cong :premises (@p362) :args (@t219)) % 16.03/16.23 (step @p364 :rule exists-elim :args ((= (exists @t3 @t217) @t219))) % 16.03/16.23 (step @p365 :rule trans :premises (@p364 @p363)) % 16.03/16.23 (step @p366 :rule eq-symm :args (tptp.xr @t76)) % 16.03/16.23 (step @p367 :rule nary_cong :premises (@p168 @p366) :args (@t97)) % 16.03/16.23 (step @p368 :rule cong :premises (@p367) :args (@t98)) % 16.03/16.23 (step @p369 :rule trans :premises (@p368 @p365)) % 16.03/16.23 (step @p370 :rule nary_cong :premises (@p369 @p360) :args (@t99)) % 16.03/16.23 (step @p371 :rule nary_cong :premises (@p370 @p359) :args (@t100)) % 16.03/16.23 (step @p372 :rule eq_resolve :premises (@p46 @p371)) % 16.03/16.23 (step @p373 :rule chain_m_resolution :premises (@p372 @p358) :args (@t220 @t136 (@list @t214))) % 16.03/16.23 (step @p374 :rule cnf_and_pos :args (@t220 1)) % 16.03/16.23 (step @p375 :rule reordering :premises (@p374) :args ((or @t96 (not @t220)))) % 16.03/16.23 (step @p376 :rule chain_m_resolution :premises (@p375 @p373) :args (@t96 @t127 (@list @t220))) % 16.03/16.23 (step @p377 :rule and_elim :premises (@p43) :args (0)) % 16.03/16.23 (step @p378 :rule not_or_elim :premises (@p353) :args (1)) % 16.03/16.23 (step @p379 :rule cnf_or_pos :args (@t225)) % 16.03/16.23 (step @p380 :rule factoring :premises (@p379)) % 16.03/16.23 (step @p381 :rule reordering :premises (@p380) :args ((or @t199 @t121 @t224 @t221 @t223 (not @t225)))) % 16.03/16.23 (step @p382 :rule chain_m_resolution :premises (@p381 @p378 @p97 @p377 @p376 @p315) :args (@t223 (@list true false false false false) (@list @t199 @t69 @t89 @t96 @t225))) % 16.03/16.23 (step @p383 :rule bool-double-not-elim :args (@t222)) % 16.03/16.23 (step @p384 :rule refl :args (@t226)) % 16.03/16.23 (step @p385 :rule refl :args (@t132)) % 16.03/16.23 (step @p386 :rule nary_cong :premises (@p385 @p384 @p383) :args ((or @t132 @t226 (not @t223)))) % 16.03/16.23 (assume-push @p432 @t223) % 16.03/16.23 (assume-push @p433 @t169) % 16.03/16.23 (assume-push @p434 @t129) % 16.03/16.23 (step @p258 :rule evaluate :args (@t189)) % 16.03/16.23 (step @p390 :rule false_intro :premises (@p382)) % 16.03/16.23 (step @p391 :rule symm :premises (@p433)) % 16.03/16.23 (step @p392 :rule cong :premises (@p391 @p328) :args (@t129)) % 16.03/16.23 (step @p393 :rule true_intro :premises (@p112)) % 16.03/16.23 (step @p394 :rule symm :premises (@p393)) % 16.03/16.23 (step @p395 :rule trans :premises (@p394 @p392 @p390)) % 16.03/16.23 (step @p396 false :rule eq_resolve :premises (@p395 @p258)) % 16.03/16.23 (step-pop @p435 :rule scope :premises (@p396)) % 16.03/16.23 (step-pop @p436 :rule scope :premises (@p435)) % 16.03/16.23 (step-pop @p437 :rule scope :premises (@p436)) % 16.03/16.23 (step @p397 :rule process_scope :premises (@p437) :args (false)) % 16.03/16.23 (assume-push @p438 @t129) % 16.03/16.23 (assume-push @p439 @t169) % 16.03/16.23 (assume-push @p440 @t223) % 16.03/16.23 (step @p404 :rule and_intro :premises (@p382 @p439 @p112)) % 16.03/16.23 (step-pop @p441 :rule scope :premises (@p404)) % 16.03/16.23 (step-pop @p442 :rule scope :premises (@p441)) % 16.03/16.23 (step-pop @p443 :rule scope :premises (@p442)) % 16.03/16.23 (step @p405 :rule process_scope :premises (@p443) :args (@t227)) % 16.03/16.23 (step @p409 :rule implies_elim :premises (@p405)) % 16.03/16.23 (step @p410 :rule resolution :premises (@p409 @p397) :args (true @t227)) % 16.03/16.23 (step @p411 :rule not_and :premises (@p410)) % 16.03/16.23 (step @p412 :rule eq_resolve :premises (@p411 @p386)) % 16.03/16.23 (step @p413 false :rule chain_m_resolution :premises (@p412 @p382 @p294 @p112) :args (false (@list true false false) (@list @t222 @t169 @t129))) % 16.03/16.23 ) % 16.03/16.23 % SZS output end Proof % 16.03/16.23 % cvc5 exiting %------------------------------------------------------------------------------