%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM516+1 : 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 : n009.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 08:39:41 AM UTC 2026 % Result : Theorem 34.20s 34.97s % Output : Proof 34.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : NUM516+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n009.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:26:14 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 34.20/34.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.20/34.97 --- Run --no-e-matching --full-saturate-quant at 6... % 34.20/34.97 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.20/34.97 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.20/34.97 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.20/34.97 % SZS status Theorem % 34.20/34.97 % SZS output start Proof % 34.20/34.97 ( % 34.20/34.97 (declare-sort $$unsorted 0) % 34.20/34.97 (declare-const tptp.xr $$unsorted) % 34.20/34.97 (declare-const tptp.xk $$unsorted) % 34.20/34.97 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 34.20/34.97 (declare-const tptp.xm $$unsorted) % 34.20/34.97 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.20/34.97 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 34.20/34.97 (declare-const tptp.xn $$unsorted) % 34.20/34.97 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 34.20/34.97 (declare-const tptp.sz00 $$unsorted) % 34.20/34.97 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.20/34.97 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.20/34.97 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.20/34.97 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 34.20/34.97 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 34.20/34.97 (declare-const tptp.sz10 $$unsorted) % 34.20/34.97 (declare-const tptp.xp $$unsorted) % 34.20/34.97 (define @t1 () (@var "W0" $$unsorted)) % 34.20/34.97 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 34.20/34.97 (define @t3 () (@list @t1)) % 34.20/34.97 (define @t4 () (@var "W1" $$unsorted)) % 34.20/34.97 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 34.20/34.97 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 34.20/34.97 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 34.20/34.97 (define @t8 () (and @t2 @t7)) % 34.20/34.97 (define @t9 () (@list @t1 @t4)) % 34.20/34.97 (define @t10 () (forall @t9 (=> @t8 @t6))) % 34.20/34.97 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 34.20/34.97 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 34.20/34.97 (define @t13 () (@var "W2" $$unsorted)) % 34.20/34.97 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 34.20/34.97 (define @t15 () (tptp.sdtpldt0 @t5 @t13)) % 34.20/34.97 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 34.20/34.97 (define @t17 () (and @t2 @t7 @t16)) % 34.20/34.97 (define @t18 () (@list @t1 @t4 @t13)) % 34.20/34.97 (define @t19 () (tptp.sdtasdt0 @t4 @t1)) % 34.20/34.97 (define @t20 () (tptp.sdtasdt0 @t13 @t1)) % 34.20/34.97 (define @t21 () (tptp.sdtasdt0 @t1 @t13)) % 34.20/34.97 (define @t22 () (= @t4 @t13)) % 34.20/34.97 (define @t23 () (tptp.sdtpldt0 @t13 @t1)) % 34.20/34.97 (define @t24 () (= @t12 @t23)) % 34.20/34.97 (define @t25 () (tptp.sdtpldt0 @t1 @t13)) % 34.20/34.97 (define @t26 () (= @t5 @t25)) % 34.20/34.97 (define @t27 () (or @t26 @t24)) % 34.20/34.97 (define @t28 () (=> @t27 @t22)) % 34.20/34.97 (define @t29 () (forall @t18 (=> @t17 @t28))) % 34.20/34.97 (define @t30 () (= @t19 @t20)) % 34.20/34.97 (define @t31 () (= @t11 @t21)) % 34.20/34.97 (define @t32 () (and @t7 @t16)) % 34.20/34.97 (define @t33 () (= @t1 tptp.sz00)) % 34.20/34.97 (define @t34 () (not @t33)) % 34.20/34.97 (define @t35 () (= @t4 tptp.sz00)) % 34.20/34.97 (define @t36 () (and @t16 (= @t25 @t4))) % 34.20/34.97 (define @t37 () (@list @t13)) % 34.20/34.97 (define @t38 () (tptp.sdtlseqdt0 @t1 @t4)) % 34.20/34.97 (define @t39 () (= @t1 @t4)) % 34.20/34.97 (define @t40 () (tptp.sdtlseqdt0 @t4 @t1)) % 34.20/34.97 (define @t41 () (tptp.sdtlseqdt0 @t4 @t13)) % 34.20/34.97 (define @t42 () (= @t4 @t1)) % 34.20/34.97 (define @t43 () (tptp.sdtlseqdt0 @t25 @t14)) % 34.20/34.97 (define @t44 () (not (= @t25 @t14))) % 34.20/34.97 (define @t45 () (tptp.sdtpldt0 @t13 @t4)) % 34.20/34.97 (define @t46 () (tptp.sdtlseqdt0 @t23 @t45)) % 34.20/34.97 (define @t47 () (not (= @t23 @t45))) % 34.20/34.97 (define @t48 () (and @t47 @t46 @t44 @t43)) % 34.20/34.97 (define @t49 () (=> @t16 @t48)) % 34.20/34.97 (define @t50 () (forall @t37 @t49)) % 34.20/34.97 (define @t51 () (not @t39)) % 34.20/34.97 (define @t52 () (and @t51 @t38)) % 34.20/34.97 (define @t53 () (=> @t52 @t50)) % 34.20/34.97 (define @t54 () (=> @t8 @t53)) % 34.20/34.97 (define @t55 () (forall @t9 @t54)) % 34.20/34.97 (define @t56 () (= @t1 tptp.sz10)) % 34.20/34.97 (define @t57 () (tptp.iLess0 @t1 @t4)) % 34.20/34.97 (define @t58 () (and @t16 (= @t4 @t21))) % 34.20/34.97 (define @t59 () (tptp.doDivides0 @t1 @t4)) % 34.20/34.97 (define @t60 () (tptp.sdtsldt0 @t4 @t1)) % 34.20/34.97 (define @t61 () (= @t13 @t60)) % 34.20/34.97 (define @t62 () (forall @t37 (= @t61 @t58))) % 34.20/34.97 (define @t63 () (and @t34 @t59)) % 34.20/34.97 (define @t64 () (=> @t63 @t62)) % 34.20/34.97 (define @t65 () (=> @t8 @t64)) % 34.20/34.97 (define @t66 () (forall @t9 @t65)) % 34.20/34.97 (define @t67 () (tptp.doDivides0 @t1 @t13)) % 34.20/34.97 (define @t68 () (tptp.doDivides0 @t1 @t14)) % 34.20/34.97 (define @t69 () (or (= @t4 tptp.sz10) @t42)) % 34.20/34.97 (define @t70 () (tptp.doDivides0 @t4 @t1)) % 34.20/34.97 (define @t71 () (and @t7 @t70)) % 34.20/34.97 (define @t72 () (=> @t71 @t69)) % 34.20/34.97 (define @t73 () (@list @t4)) % 34.20/34.97 (define @t74 () (forall @t73 @t72)) % 34.20/34.97 (define @t75 () (not @t56)) % 34.20/34.97 (define @t76 () (and @t34 @t75 @t74)) % 34.20/34.97 (define @t77 () (tptp.isPrime0 @t1)) % 34.20/34.97 (define @t78 () (= @t77 @t76)) % 34.20/34.97 (define @t79 () (=> @t2 @t78)) % 34.20/34.97 (define @t80 () (forall @t3 @t79)) % 34.20/34.97 (define @t81 () (tptp.aNaturalNumber0 tptp.xp)) % 34.20/34.97 (define @t82 () (tptp.aNaturalNumber0 tptp.xm)) % 34.20/34.97 (define @t83 () (tptp.aNaturalNumber0 tptp.xn)) % 34.20/34.97 (define @t84 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 34.20/34.97 (define @t85 () (tptp.sdtpldt0 @t84 tptp.xp)) % 34.20/34.97 (define @t86 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 34.20/34.97 (define @t87 () (= tptp.xk tptp.sz10)) % 34.20/34.97 (define @t88 () (= tptp.xk tptp.sz00)) % 34.20/34.97 (define @t89 () (tptp.isPrime0 tptp.xr)) % 34.20/34.97 (define @t90 () (tptp.aNaturalNumber0 tptp.xr)) % 34.20/34.97 (define @t91 () (tptp.doDivides0 tptp.xr tptp.xn)) % 34.20/34.97 (define @t92 () (tptp.sdtsldt0 tptp.xn tptp.xr)) % 34.20/34.97 (define @t93 () (tptp.sdtlseqdt0 @t92 tptp.xn)) % 34.20/34.97 (define @t94 () (= @t92 tptp.xn)) % 34.20/34.97 (define @t95 () (tptp.sdtpldt0 @t92 tptp.xm)) % 34.20/34.97 (define @t96 () (tptp.sdtpldt0 @t95 tptp.xp)) % 34.20/34.97 (define @t97 () (tptp.sdtlseqdt0 @t96 @t85)) % 34.20/34.97 (define @t98 () (not (= @t96 @t85))) % 34.20/34.97 (define @t99 () (and @t98 @t97)) % 34.20/34.97 (define @t100 () (not @t99)) % 34.20/34.97 (define @t101 () (@var "BOUND_VARIABLE_8036" $$unsorted)) % 34.20/34.97 (define @t102 () (and (tptp.aNaturalNumber0 @t101) (= @t4 (tptp.sdtasdt0 @t1 @t101)))) % 34.20/34.97 (define @t103 () (= @t102 (= @t101 @t60))) % 34.20/34.97 (define @t104 () (not @t59)) % 34.20/34.97 (define @t105 () (not @t7)) % 34.20/34.97 (define @t106 () (not @t2)) % 34.20/34.97 (define @t107 () (or @t106 @t105 @t33 @t104 @t103)) % 34.20/34.97 (define @t108 () (@list @t1 @t4 @t101)) % 34.20/34.97 (define @t109 () (forall @t108 @t107)) % 34.20/34.97 (define @t110 () (@list @t101)) % 34.20/34.97 (define @t111 () (forall @t110 @t107)) % 34.20/34.97 (define @t112 () (forall @t110 @t103)) % 34.20/34.97 (define @t113 () (@list @t13)) % 34.20/34.97 (define @t114 () (or @t106 @t105 @t33 @t104 @t112)) % 34.20/34.97 (define @t115 () (forall @t37 (= @t58 @t61))) % 34.20/34.97 (define @t116 () (or @t106 @t105 @t33 @t104 @t115)) % 34.20/34.97 (define @t117 () (or @t33 @t104 @t115)) % 34.20/34.97 (define @t118 () (or @t106 @t105)) % 34.20/34.97 (define @t119 () (=> @t63 @t115)) % 34.20/34.97 (define @t120 () (not @t8)) % 34.20/34.97 (define @t121 () (tptp.aNaturalNumber0 @t92)) % 34.20/34.97 (define @t122 () (and @t121 (= tptp.xn (tptp.sdtasdt0 tptp.xr @t92)))) % 34.20/34.97 (define @t123 () (= @t122 (= @t92 @t92))) % 34.20/34.97 (define @t124 () (not @t91)) % 34.20/34.97 (define @t125 () (not @t83)) % 34.20/34.97 (define @t126 () (not @t90)) % 34.20/34.97 (define @t127 () (= tptp.xr tptp.sz00)) % 34.20/34.97 (define @t128 () (or @t126 @t125 @t127 @t124 @t123)) % 34.20/34.97 (define @t129 () (forall @t108 (or @t106 @t105 @t33 @t104 (= @t102 (= @t60 @t101))))) % 34.20/34.97 (define @t130 () (= tptp.sz00 tptp.xr)) % 34.20/34.97 (define @t131 () (or @t126 @t125 @t130 @t124 @t122)) % 34.20/34.97 (define @t132 () (@list false)) % 34.20/34.97 (define @t133 () (= tptp.sz10 @t4)) % 34.20/34.97 (define @t134 () (not @t70)) % 34.20/34.97 (define @t135 () (or @t105 @t134 @t133 @t39)) % 34.20/34.97 (define @t136 () (= @t77 (and @t34 @t75 (forall @t73 @t135)))) % 34.20/34.97 (define @t137 () (or @t133 @t39)) % 34.20/34.97 (define @t138 () (not (tptp.doDivides0 @t4 tptp.xr))) % 34.20/34.97 (define @t139 () (or @t105 @t138 @t133 (= tptp.xr @t4))) % 34.20/34.97 (define @t140 () (forall @t73 @t139)) % 34.20/34.97 (define @t141 () (not (= tptp.xr tptp.sz10))) % 34.20/34.97 (define @t142 () (not @t127)) % 34.20/34.97 (define @t143 () (and @t142 @t141 @t140)) % 34.20/34.97 (define @t144 () (= @t89 @t143)) % 34.20/34.97 (define @t145 () (or @t126 @t144)) % 34.20/34.97 (define @t146 () (forall @t3 (or @t106 @t136))) % 34.20/34.97 (define @t147 () (not @t130)) % 34.20/34.97 (define @t148 () (and @t147 (not (= tptp.sz10 tptp.xr)) (forall @t73 (or @t105 @t138 @t133 (= @t4 tptp.xr))))) % 34.20/34.97 (define @t149 () (= @t89 @t148)) % 34.20/34.97 (define @t150 () (or @t126 @t149)) % 34.20/34.97 (define @t151 () (@list false false)) % 34.20/34.97 (define @t152 () (@list false false false true false)) % 34.20/34.97 (define @t153 () (@var "BOUND_VARIABLE_7966" $$unsorted)) % 34.20/34.97 (define @t154 () (tptp.sdtpldt0 @t4 @t153)) % 34.20/34.97 (define @t155 () (tptp.sdtpldt0 @t1 @t153)) % 34.20/34.97 (define @t156 () (tptp.sdtpldt0 @t153 @t4)) % 34.20/34.97 (define @t157 () (tptp.sdtpldt0 @t153 @t1)) % 34.20/34.97 (define @t158 () (and (not (= @t157 @t156)) (tptp.sdtlseqdt0 @t157 @t156) (not (= @t154 @t155)) (tptp.sdtlseqdt0 @t155 @t154))) % 34.20/34.97 (define @t159 () (not (tptp.aNaturalNumber0 @t153))) % 34.20/34.97 (define @t160 () (not @t38)) % 34.20/34.97 (define @t161 () (or @t106 @t105 @t39 @t160 @t159 @t158)) % 34.20/34.97 (define @t162 () (or @t159 @t158)) % 34.20/34.97 (define @t163 () (or @t106 @t105 @t39 @t160 @t162)) % 34.20/34.97 (define @t164 () (@list @t1 @t4 @t153)) % 34.20/34.97 (define @t165 () (forall @t164 @t163)) % 34.20/34.97 (define @t166 () (@list @t153)) % 34.20/34.97 (define @t167 () (forall @t166 @t163)) % 34.20/34.97 (define @t168 () (forall @t166 @t162)) % 34.20/34.97 (define @t169 () (or @t106 @t105 @t39 @t160 @t168)) % 34.20/34.97 (define @t170 () (and @t47 @t46 (not (= @t14 @t25)) @t43)) % 34.20/34.97 (define @t171 () (not @t16)) % 34.20/34.97 (define @t172 () (forall @t37 (or @t171 @t170))) % 34.20/34.97 (define @t173 () (or @t106 @t105 @t39 @t160 @t172)) % 34.20/34.97 (define @t174 () (or @t39 @t160 @t172)) % 34.20/34.97 (define @t175 () (=> @t52 @t172)) % 34.20/34.97 (define @t176 () (= @t85 @t96)) % 34.20/34.97 (define @t177 () (not @t176)) % 34.20/34.97 (define @t178 () (tptp.sdtpldt0 tptp.xp @t84)) % 34.20/34.97 (define @t179 () (tptp.sdtpldt0 tptp.xp @t95)) % 34.20/34.97 (define @t180 () (tptp.sdtlseqdt0 @t179 @t178)) % 34.20/34.97 (define @t181 () (not (= @t179 @t178))) % 34.20/34.97 (define @t182 () (and @t181 @t180 @t177 @t97)) % 34.20/34.97 (define @t183 () (not @t81)) % 34.20/34.97 (define @t184 () (tptp.sdtlseqdt0 @t95 @t84)) % 34.20/34.97 (define @t185 () (not @t184)) % 34.20/34.97 (define @t186 () (tptp.aNaturalNumber0 @t84)) % 34.20/34.97 (define @t187 () (not @t186)) % 34.20/34.97 (define @t188 () (tptp.aNaturalNumber0 @t95)) % 34.20/34.97 (define @t189 () (not @t188)) % 34.20/34.97 (define @t190 () (or @t189 @t187 (= @t95 @t84) @t185 @t183 @t182)) % 34.20/34.97 (define @t191 () (forall @t164 @t161)) % 34.20/34.97 (define @t192 () (not (= @t178 @t179))) % 34.20/34.97 (define @t193 () (and @t192 @t180 @t177 @t97)) % 34.20/34.97 (define @t194 () (= @t84 @t95)) % 34.20/34.97 (define @t195 () (or @t189 @t187 @t194 @t185 @t183 @t193)) % 34.20/34.97 (define @t196 () (@list @t191)) % 34.20/34.97 (define @t197 () (and (not @t26) (not @t24))) % 34.20/34.97 (define @t198 () (or @t106 @t105 @t171)) % 34.20/34.97 (define @t199 () (= tptp.xn @t92)) % 34.20/34.97 (define @t200 () (not @t194)) % 34.20/34.97 (define @t201 () (tptp.sdtpldt0 tptp.xm @t92)) % 34.20/34.97 (define @t202 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 34.20/34.97 (define @t203 () (not (= @t202 @t201))) % 34.20/34.97 (define @t204 () (and @t203 @t200)) % 34.20/34.97 (define @t205 () (not @t121)) % 34.20/34.97 (define @t206 () (not @t82)) % 34.20/34.97 (define @t207 () (or @t206 @t125 @t205 @t204 @t199)) % 34.20/34.97 (define @t208 () (or @t205 @t206 @t188)) % 34.20/34.97 (define @t209 () (@list false false false)) % 34.20/34.97 (define @t210 () (or @t125 @t206 @t186)) % 34.20/34.97 (define @t211 () (and @t192 @t177)) % 34.20/34.97 (define @t212 () (or @t183 @t187 @t189 @t211 @t194)) % 34.20/34.97 (define @t213 () (not @t97)) % 34.20/34.97 (define @t214 () (@list true)) % 34.20/34.97 (define @t215 () (not @t193)) % 34.20/34.97 (define @t216 () (tptp.sdtlseqdt0 @t201 @t202)) % 34.20/34.97 (define @t217 () (and @t203 @t216 @t200 @t184)) % 34.20/34.97 (define @t218 () (not @t217)) % 34.20/34.97 (define @t219 () (not (= @t201 @t202))) % 34.20/34.97 (define @t220 () (and @t219 @t216 @t200 @t184)) % 34.20/34.97 (define @t221 () (not @t93)) % 34.20/34.97 (define @t222 () (or @t205 @t125 @t94 @t221 @t206 @t220)) % 34.20/34.97 (define @t223 () (or @t205 @t125 @t199 @t221 @t206 @t217)) % 34.20/34.97 (assume @p1 (forall @t3 (=> @t2 true))) % 34.20/34.97 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 34.20/34.97 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 34.20/34.97 (assume @p4 @t10) % 34.20/34.97 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t11)))) % 34.20/34.97 (assume @p6 (forall @t9 (=> @t8 (= @t5 @t12)))) % 34.20/34.97 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 34.20/34.97 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 34.20/34.97 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t19)))) % 34.20/34.97 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t11 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))))) % 34.20/34.97 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 34.20/34.97 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 34.20/34.97 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t11 @t21)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t20)))))) % 34.20/34.97 (assume @p14 @t29) % 34.20/34.97 (assume @p15 (forall @t3 (=> @t2 (=> @t34 (forall (@list @t4 @t13) (=> @t32 (=> (or @t31 @t30) @t22))))))) % 34.20/34.97 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t33 @t35))))) % 34.20/34.97 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t33 @t35))))) % 34.20/34.97 (assume @p18 (forall @t9 (=> @t8 (= @t38 (exists @t37 @t36))))) % 34.20/34.97 (assume @p19 (forall @t9 (=> @t8 (=> @t38 (forall @t37 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t36)))))) % 34.20/34.97 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 34.20/34.97 (assume @p21 (forall @t9 (=> @t8 (=> (and @t38 @t40) @t39)))) % 34.20/34.97 (assume @p22 (forall @t18 (=> @t17 (=> (and @t38 @t41) (tptp.sdtlseqdt0 @t1 @t13))))) % 34.20/34.97 (assume @p23 (forall @t9 (=> @t8 (or @t38 (and (not @t42) @t40))))) % 34.20/34.97 (assume @p24 @t55) % 34.20/34.97 (assume @p25 (forall @t18 (=> @t17 (=> (and @t34 (not @t22) @t41) (and (not @t31) (tptp.sdtlseqdt0 @t11 @t21) (not @t30) (tptp.sdtlseqdt0 @t19 @t20)))))) % 34.20/34.97 (assume @p26 (forall @t3 (=> @t2 (or @t33 @t56 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 34.20/34.97 (assume @p27 (forall @t9 (=> @t8 (=> @t34 (tptp.sdtlseqdt0 @t4 @t19))))) % 34.20/34.97 (assume @p28 (forall @t9 (=> @t8 (=> @t57 true)))) % 34.20/34.97 (assume @p29 (forall @t9 (=> @t8 (=> @t52 @t57)))) % 34.20/34.97 (assume @p30 (forall @t9 (=> @t8 (= @t59 (exists @t37 @t58))))) % 34.20/34.97 (assume @p31 @t66) % 34.20/34.97 (assume @p32 (forall @t18 (=> @t17 (=> (and @t59 (tptp.doDivides0 @t4 @t13)) @t67)))) % 34.20/34.97 (assume @p33 (forall @t18 (=> @t17 (=> (and @t59 @t67) @t68)))) % 34.20/34.97 (assume @p34 (forall @t18 (=> @t17 (=> (and @t59 @t68) @t67)))) % 34.20/34.97 (assume @p35 (forall @t9 (=> @t8 (=> (and @t59 (not @t35)) @t38)))) % 34.20/34.97 (assume @p36 (forall @t9 (=> @t8 (=> @t63 (forall @t37 (=> @t16 (= (tptp.sdtasdt0 @t13 @t60) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t4) @t1)))))))) % 34.20/34.97 (assume @p37 @t80) % 34.20/34.97 (assume @p38 (forall @t3 (=> (and @t2 @t34 @t75) (exists @t73 (and @t7 @t70 (tptp.isPrime0 @t4)))))) % 34.20/34.97 (assume @p39 (and @t83 @t82 @t81)) % 34.20/34.97 (assume @p40 (forall @t18 (=> @t17 (=> (and (tptp.isPrime0 @t13) (tptp.doDivides0 @t13 @t11)) (=> (tptp.iLess0 @t15 @t85) (or (tptp.doDivides0 @t13 @t1) (tptp.doDivides0 @t13 @t4))))))) % 34.20/34.97 (assume @p41 (and (tptp.isPrime0 tptp.xp) (tptp.doDivides0 tptp.xp @t86))) % 34.20/34.97 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 34.20/34.97 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 34.20/34.97 (assume @p44 (and (not (= tptp.xn tptp.xp)) (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not (= tptp.xm tptp.xp)) (tptp.sdtlseqdt0 tptp.xm tptp.xp))) % 34.20/34.97 (assume @p45 (= tptp.xk (tptp.sdtsldt0 @t86 tptp.xp))) % 34.20/34.97 (assume @p46 (not (or @t88 @t87))) % 34.20/34.97 (assume @p47 (and (not @t88) (not @t87))) % 34.20/34.97 (assume @p48 (and @t90 (tptp.doDivides0 tptp.xr tptp.xk) @t89)) % 34.20/34.97 (assume @p49 (and (tptp.sdtlseqdt0 tptp.xr tptp.xk) (tptp.doDivides0 tptp.xr @t86))) % 34.20/34.97 (assume @p50 (and (not (= tptp.xk tptp.xp)) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 34.20/34.97 (assume @p51 (or @t91 (tptp.doDivides0 tptp.xr tptp.xm))) % 34.20/34.97 (assume @p52 @t91) % 34.20/34.97 (assume @p53 (and (not @t94) @t93)) % 34.20/34.97 (assume @p54 (tptp.doDivides0 tptp.xp (tptp.sdtasdt0 @t92 tptp.xm))) % 34.20/34.97 (assume @p55 @t100) % 34.20/34.97 (assume @p56 true) % 34.20/34.97 (step @p57 :rule and_elim :premises (@p39) :args (0)) % 34.20/34.97 (step @p58 :rule and_elim :premises (@p39) :args (1)) % 34.20/34.97 (step @p59 :rule and_elim :premises (@p53) :args (0)) % 34.20/34.97 (step @p60 :rule symm :premises (@p59)) % 34.20/34.97 (step @p61 :rule and_elim :premises (@p53) :args (1)) % 34.20/34.97 (step @p62 :rule eq-symm :args (@t101 @t60)) % 34.20/34.97 (step @p63 :rule refl :args (@t102)) % 34.20/34.97 (step @p64 :rule cong :premises (@p63 @p62) :args (@t103)) % 34.20/34.97 (step @p65 :rule refl :args (@t104)) % 34.20/34.97 (step @p66 :rule refl :args (@t33)) % 34.20/34.97 (step @p67 :rule refl :args (@t105)) % 34.20/34.97 (step @p68 :rule refl :args (@t106)) % 34.20/34.97 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66 @p65 @p64) :args (@t107)) % 34.20/34.97 (step @p70 :rule cong :premises (@p69) :args (@t109)) % 34.20/34.97 (step @p71 :rule quant-merge-prenex :args ((= (forall @t9 @t111) @t109))) % 34.20/34.97 (step @p72 :rule alpha_equiv :args (@t112 (@list @t101) @t113)) % 34.20/34.97 (step @p73 :rule refl :args (@t104)) % 34.20/34.97 (step @p74 :rule refl :args (@t33)) % 34.20/34.97 (step @p75 :rule refl :args (@t105)) % 34.20/34.97 (step @p76 :rule refl :args (@t106)) % 34.20/34.97 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74 @p73 @p72) :args (@t114)) % 34.20/34.97 (step @p78 :rule quant-miniscope-or :args ((= @t111 @t114))) % 34.20/34.97 (step @p79 :rule trans :premises (@p78 @p77)) % 34.20/34.97 (step @p80 :rule symm :premises (@p79)) % 34.20/34.97 (step @p81 :rule cong :premises (@p80) :args ((forall @t9 @t116))) % 34.20/34.97 (step @p82 :rule trans :premises (@p81 @p71)) % 34.20/34.97 (step @p83 :rule trans :premises (@p82 @p70)) % 34.20/34.97 (step @p84 :rule aci_norm :args ((= (or @t118 @t117) @t116))) % 34.20/34.97 (step @p85 :rule aci_norm :args ((= (or (or @t33 @t104) @t115) @t117))) % 34.20/34.97 (step @p86 :rule refl :args (@t115)) % 34.20/34.97 (step @p87 :rule bool-double-not-elim :args (@t33)) % 34.20/34.97 (step @p88 :rule nary_cong :premises (@p87 @p73) :args ((or (not @t34) @t104))) % 34.20/34.97 (step @p89 :rule bool-and-de-morgan :args (@t34 @t59 true)) % 34.20/34.97 (step @p90 :rule trans :premises (@p89 @p88)) % 34.20/34.97 (step @p91 :rule nary_cong :premises (@p90 @p86) :args ((or (not @t63) @t115))) % 34.20/34.97 (step @p92 :rule trans :premises (@p91 @p85)) % 34.20/34.97 (step @p93 :rule bool-impl-elim :args (@t63 @t115)) % 34.20/34.97 (step @p94 :rule trans :premises (@p93 @p92)) % 34.20/34.97 (step @p95 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 34.20/34.97 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t120 @t119))) % 34.20/34.97 (step @p97 :rule trans :premises (@p96 @p84)) % 34.20/34.97 (step @p98 :rule bool-impl-elim :args (@t8 @t119)) % 34.20/34.97 (step @p99 :rule trans :premises (@p98 @p97)) % 34.20/34.97 (step @p100 :rule cong :premises (@p99) :args ((forall @t9 (=> @t8 @t119)))) % 34.20/34.97 (step @p101 :rule trans :premises (@p100 @p83)) % 34.20/34.97 (step @p102 :rule eq-symm :args (@t61 @t58)) % 34.20/34.97 (step @p103 :rule cong :premises (@p102) :args (@t62)) % 34.20/34.97 (step @p104 :rule refl :args (@t63)) % 34.20/34.97 (step @p105 :rule cong :premises (@p104 @p103) :args (@t64)) % 34.20/34.97 (step @p106 :rule refl :args (@t8)) % 34.20/34.97 (step @p107 :rule cong :premises (@p106 @p105) :args (@t65)) % 34.20/34.97 (step @p108 :rule cong :premises (@p107) :args (@t66)) % 34.20/34.97 (step @p109 :rule trans :premises (@p108 @p101)) % 34.20/34.97 (step @p110 :rule eq_resolve :premises (@p31 @p109)) % 34.20/34.97 (step @p111 :rule bool-eq-true :args (@t122)) % 34.20/34.97 (step @p112 :rule eq-refl :args (@t92)) % 34.20/34.97 (step @p113 :rule refl :args (@t122)) % 34.20/34.97 (step @p114 :rule cong :premises (@p113 @p112) :args (@t123)) % 34.20/34.97 (step @p115 :rule trans :premises (@p114 @p111)) % 34.20/34.97 (step @p116 :rule refl :args (@t124)) % 34.20/34.97 (step @p117 :rule eq-symm :args (tptp.xr tptp.sz00)) % 34.20/34.97 (step @p118 :rule refl :args (@t125)) % 34.20/34.97 (step @p119 :rule refl :args (@t126)) % 34.20/34.97 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p115) :args (@t128)) % 34.20/34.97 (step @p121 :rule refl :args (@t129)) % 34.20/34.97 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t129 @t128))) % 34.20/34.97 (assume-push @p355 @t129) % 34.20/34.97 (step @p124 :rule instantiate :premises (@p110) :args ((@list tptp.xr tptp.xn @t92))) % 34.20/34.97 (step-pop @p356 :rule scope :premises (@p124)) % 34.20/34.97 (step @p125 :rule process_scope :premises (@p356) :args (@t128)) % 34.20/34.97 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 34.20/34.97 (step @p128 :rule implies_elim :premises (@p127)) % 34.20/34.97 (step @p129 :rule chain_m_resolution :premises (@p128 @p110) :args (@t131 @t132 (@list @t129))) % 34.20/34.97 (step @p130 :rule bool-impl-elim :args (@t2 @t136)) % 34.20/34.97 (step @p131 :rule cong :premises (@p130) :args ((forall @t3 (=> @t2 @t136)))) % 34.20/34.97 (step @p132 :rule aci_norm :args ((= (or (or @t105 @t134) @t137) @t135))) % 34.20/34.97 (step @p133 :rule refl :args (@t137)) % 34.20/34.97 (step @p134 :rule bool-and-de-morgan :args (@t7 @t70 true)) % 34.20/34.97 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t71) @t137))) % 34.20/34.97 (step @p136 :rule trans :premises (@p135 @p132)) % 34.20/34.97 (step @p137 :rule bool-impl-elim :args (@t71 @t137)) % 34.20/34.97 (step @p138 :rule trans :premises (@p137 @p136)) % 34.20/34.97 (step @p139 :rule cong :premises (@p138) :args ((forall @t73 (=> @t71 @t137)))) % 34.20/34.97 (step @p140 :rule eq-symm :args (@t4 @t1)) % 34.20/34.97 (step @p141 :rule eq-symm :args (@t4 tptp.sz10)) % 34.20/34.97 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t69)) % 34.20/34.97 (step @p143 :rule refl :args (@t71)) % 34.20/34.97 (step @p144 :rule cong :premises (@p143 @p142) :args (@t72)) % 34.20/34.97 (step @p145 :rule cong :premises (@p144) :args (@t74)) % 34.20/34.97 (step @p146 :rule trans :premises (@p145 @p139)) % 34.20/34.97 (step @p147 :rule refl :args (@t75)) % 34.20/34.97 (step @p148 :rule refl :args (@t34)) % 34.20/34.97 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146) :args (@t76)) % 34.20/34.97 (step @p150 :rule refl :args (@t77)) % 34.20/34.97 (step @p151 :rule cong :premises (@p150 @p149) :args (@t78)) % 34.20/34.97 (step @p152 :rule refl :args (@t2)) % 34.20/34.97 (step @p153 :rule cong :premises (@p152 @p151) :args (@t79)) % 34.20/34.97 (step @p154 :rule cong :premises (@p153) :args (@t80)) % 34.20/34.97 (step @p155 :rule trans :premises (@p154 @p131)) % 34.20/34.97 (step @p156 :rule eq_resolve :premises (@p37 @p155)) % 34.20/34.97 (step @p157 :rule eq-symm :args (tptp.xr @t4)) % 34.20/34.97 (step @p158 :rule refl :args (@t133)) % 34.20/34.97 (step @p159 :rule refl :args (@t138)) % 34.20/34.97 (step @p160 :rule nary_cong :premises (@p67 @p159 @p158 @p157) :args (@t139)) % 34.20/34.97 (step @p161 :rule cong :premises (@p160) :args (@t140)) % 34.20/34.97 (step @p162 :rule eq-symm :args (tptp.xr tptp.sz10)) % 34.20/34.97 (step @p163 :rule cong :premises (@p162) :args (@t141)) % 34.20/34.97 (step @p164 :rule cong :premises (@p117) :args (@t142)) % 34.20/34.97 (step @p165 :rule nary_cong :premises (@p164 @p163 @p161) :args (@t143)) % 34.20/34.97 (step @p166 :rule refl :args (@t89)) % 34.20/34.97 (step @p167 :rule cong :premises (@p166 @p165) :args (@t144)) % 34.20/34.97 (step @p168 :rule nary_cong :premises (@p119 @p167) :args (@t145)) % 34.20/34.97 (step @p169 :rule refl :args (@t146)) % 34.20/34.97 (step @p170 :rule cong :premises (@p169 @p168) :args ((=> @t146 @t145))) % 34.20/34.97 (assume-push @p357 @t146) % 34.20/34.97 (step @p172 :rule instantiate :premises (@p156) :args ((@list tptp.xr))) % 34.20/34.97 (step-pop @p358 :rule scope :premises (@p172)) % 34.20/34.97 (step @p173 :rule process_scope :premises (@p358) :args (@t145)) % 34.20/34.97 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 34.20/34.97 (step @p176 :rule implies_elim :premises (@p175)) % 34.20/34.97 (step @p177 :rule chain_m_resolution :premises (@p176 @p156) :args (@t150 @t132 (@list @t146))) % 34.20/34.97 (step @p178 :rule and_elim :premises (@p48) :args (0)) % 34.20/34.97 (step @p179 :rule cnf_or_pos :args (@t150)) % 34.20/34.97 (step @p180 :rule reordering :premises (@p179) :args ((or @t126 @t149 (not @t150)))) % 34.20/34.97 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p177) :args (@t149 @t151 (@list @t90 @t150))) % 34.20/34.97 (step @p182 :rule and_elim :premises (@p48) :args (2)) % 34.20/34.97 (step @p183 :rule cnf_equiv_pos1 :args (@t149)) % 34.20/34.97 (step @p184 :rule reordering :premises (@p183) :args ((or (not @t89) @t148 (not @t149)))) % 34.20/34.97 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p181) :args (@t148 @t151 (@list @t89 @t149))) % 34.20/34.97 (step @p186 :rule cnf_and_pos :args (@t148 0)) % 34.20/34.97 (step @p187 :rule reordering :premises (@p186) :args ((or @t147 (not @t148)))) % 34.20/34.97 (step @p188 :rule chain_m_resolution :premises (@p187 @p185) :args (@t147 @t132 (@list @t148))) % 34.20/34.97 (step @p189 :rule cnf_or_pos :args (@t131)) % 34.20/34.97 (step @p190 :rule reordering :premises (@p189) :args ((or @t124 @t125 @t126 @t130 @t122 (not @t131)))) % 34.20/34.97 (step @p191 :rule chain_m_resolution :premises (@p190 @p52 @p57 @p178 @p188 @p129) :args (@t122 @t152 (@list @t91 @t83 @t90 @t130 @t131))) % 34.20/34.97 (step @p192 :rule cnf_and_pos :args (@t122 0)) % 34.20/34.97 (step @p193 :rule reordering :premises (@p192) :args ((or @t121 (not @t122)))) % 34.20/34.97 (step @p194 :rule chain_m_resolution :premises (@p193 @p191) :args (@t121 @t132 (@list @t122))) % 34.20/34.97 (step @p195 :rule aci_norm :args ((= @t163 @t161))) % 34.20/34.97 (step @p196 :rule cong :premises (@p195) :args (@t165)) % 34.20/34.97 (step @p197 :rule quant-merge-prenex :args ((= (forall @t9 @t167) @t165))) % 34.20/34.97 (step @p198 :rule alpha_equiv :args (@t168 (@list @t153) @t113)) % 34.20/34.97 (step @p199 :rule refl :args (@t160)) % 34.20/34.97 (step @p200 :rule refl :args (@t39)) % 34.20/34.97 (step @p201 :rule nary_cong :premises (@p76 @p75 @p200 @p199 @p198) :args (@t169)) % 34.20/34.97 (step @p202 :rule quant-miniscope-or :args ((= @t167 @t169))) % 34.20/34.97 (step @p203 :rule trans :premises (@p202 @p201)) % 34.20/34.97 (step @p204 :rule symm :premises (@p203)) % 34.20/34.97 (step @p205 :rule cong :premises (@p204) :args ((forall @t9 @t173))) % 34.20/34.97 (step @p206 :rule trans :premises (@p205 @p197)) % 34.20/34.97 (step @p207 :rule trans :premises (@p206 @p196)) % 34.20/34.97 (step @p208 :rule aci_norm :args ((= (or @t118 @t174) @t173))) % 34.20/34.97 (step @p209 :rule aci_norm :args ((= (or (or @t39 @t160) @t172) @t174))) % 34.20/34.97 (step @p210 :rule refl :args (@t172)) % 34.20/34.97 (step @p211 :rule bool-double-not-elim :args (@t39)) % 34.20/34.97 (step @p212 :rule nary_cong :premises (@p211 @p199) :args ((or (not @t51) @t160))) % 34.20/34.97 (step @p213 :rule bool-and-de-morgan :args (@t51 @t38 true)) % 34.20/34.97 (step @p214 :rule trans :premises (@p213 @p212)) % 34.20/34.97 (step @p215 :rule nary_cong :premises (@p214 @p210) :args ((or (not @t52) @t172))) % 34.20/34.97 (step @p216 :rule trans :premises (@p215 @p209)) % 34.20/34.97 (step @p217 :rule bool-impl-elim :args (@t52 @t172)) % 34.20/34.97 (step @p218 :rule trans :premises (@p217 @p216)) % 34.20/34.97 (step @p219 :rule nary_cong :premises (@p95 @p218) :args ((or @t120 @t175))) % 34.20/34.97 (step @p220 :rule trans :premises (@p219 @p208)) % 34.20/34.97 (step @p221 :rule bool-impl-elim :args (@t8 @t175)) % 34.20/34.97 (step @p222 :rule trans :premises (@p221 @p220)) % 34.20/34.97 (step @p223 :rule cong :premises (@p222) :args ((forall @t9 (=> @t8 @t175)))) % 34.20/34.97 (step @p224 :rule trans :premises (@p223 @p207)) % 34.20/34.97 (step @p225 :rule bool-impl-elim :args (@t16 @t170)) % 34.20/34.97 (step @p226 :rule cong :premises (@p225) :args ((forall @t37 (=> @t16 @t170)))) % 34.20/34.97 (step @p227 :rule refl :args (@t43)) % 34.20/34.97 (step @p228 :rule eq-symm :args (@t25 @t14)) % 34.20/34.97 (step @p229 :rule cong :premises (@p228) :args (@t44)) % 34.20/34.97 (step @p230 :rule refl :args (@t46)) % 34.20/34.97 (step @p231 :rule refl :args (@t47)) % 34.20/34.97 (step @p232 :rule nary_cong :premises (@p231 @p230 @p229 @p227) :args (@t48)) % 34.20/34.97 (step @p233 :rule refl :args (@t16)) % 34.20/34.97 (step @p234 :rule cong :premises (@p233 @p232) :args (@t49)) % 34.20/34.97 (step @p235 :rule cong :premises (@p234) :args (@t50)) % 34.20/34.97 (step @p236 :rule trans :premises (@p235 @p226)) % 34.20/34.97 (step @p237 :rule refl :args (@t52)) % 34.20/34.97 (step @p238 :rule cong :premises (@p237 @p236) :args (@t53)) % 34.20/34.97 (step @p239 :rule cong :premises (@p106 @p238) :args (@t54)) % 34.20/34.97 (step @p240 :rule cong :premises (@p239) :args (@t55)) % 34.20/34.97 (step @p241 :rule trans :premises (@p240 @p224)) % 34.20/34.97 (step @p242 :rule eq_resolve :premises (@p24 @p241)) % 34.20/34.97 (step @p243 :rule refl :args (@t97)) % 34.20/34.97 (step @p244 :rule refl :args (@t177)) % 34.20/34.97 (step @p245 :rule refl :args (@t180)) % 34.20/34.97 (step @p246 :rule eq-symm :args (@t179 @t178)) % 34.20/34.97 (step @p247 :rule cong :premises (@p246) :args (@t181)) % 34.20/34.97 (step @p248 :rule nary_cong :premises (@p247 @p245 @p244 @p243) :args (@t182)) % 34.20/34.97 (step @p249 :rule refl :args (@t183)) % 34.20/34.97 (step @p250 :rule refl :args (@t185)) % 34.20/34.97 (step @p251 :rule eq-symm :args (@t95 @t84)) % 34.20/34.97 (step @p252 :rule refl :args (@t187)) % 34.20/34.97 (step @p253 :rule refl :args (@t189)) % 34.20/34.97 (step @p254 :rule nary_cong :premises (@p253 @p252 @p251 @p250 @p249 @p248) :args (@t190)) % 34.20/34.97 (step @p255 :rule refl :args (@t191)) % 34.20/34.97 (step @p256 :rule cong :premises (@p255 @p254) :args ((=> @t191 @t190))) % 34.20/34.97 (assume-push @p359 @t191) % 34.20/34.97 (step @p258 :rule instantiate :premises (@p242) :args ((@list @t95 @t84 tptp.xp))) % 34.20/34.97 (step-pop @p360 :rule scope :premises (@p258)) % 34.20/34.97 (step @p259 :rule process_scope :premises (@p360) :args (@t190)) % 34.20/34.97 (step @p261 :rule eq_resolve :premises (@p259 @p256)) % 34.20/34.97 (step @p262 :rule implies_elim :premises (@p261)) % 34.20/34.97 (step @p263 :rule chain_m_resolution :premises (@p262 @p242) :args (@t195 @t132 @t196)) % 34.20/34.97 (step @p264 :rule aci_norm :args ((= (or @t198 (or @t197 @t22)) (or @t106 @t105 @t171 @t197 @t22)))) % 34.20/34.97 (step @p265 :rule refl :args (@t22)) % 34.20/34.97 (step @p266 :rule bool-or-de-morgan :args (@t26 @t24 false)) % 34.20/34.97 (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or (not @t27) @t22))) % 34.20/34.97 (step @p268 :rule bool-impl-elim :args (@t27 @t22)) % 34.20/34.97 (step @p269 :rule trans :premises (@p268 @p267)) % 34.20/34.97 (step @p270 :rule aci_norm :args ((= (or @t106 (or @t105 @t171)) @t198))) % 34.20/34.97 (step @p271 :rule bool-and-de-morgan :args (@t7 @t16 true)) % 34.20/34.97 (step @p272 :rule nary_cong :premises (@p76 @p271) :args ((or @t106 (not @t32)))) % 34.20/34.97 (step @p273 :rule bool-and-de-morgan :args (@t2 @t7 (and @t16))) % 34.20/34.97 (step @p274 :rule trans :premises (@p273 @p272)) % 34.20/34.97 (step @p275 :rule trans :premises (@p274 @p270)) % 34.20/34.97 (step @p276 :rule nary_cong :premises (@p275 @p269) :args ((or (not @t17) @t28))) % 34.20/34.97 (step @p277 :rule trans :premises (@p276 @p264)) % 34.20/34.97 (step @p278 :rule bool-impl-elim :args (@t17 @t28)) % 34.20/34.97 (step @p279 :rule trans :premises (@p278 @p277)) % 34.20/34.97 (step @p280 :rule cong :premises (@p279) :args (@t29)) % 34.20/34.97 (step @p281 :rule eq_resolve :premises (@p14 @p280)) % 34.20/34.97 (step @p282 :rule instantiate :premises (@p281) :args ((@list tptp.xp @t84 @t95))) % 34.20/34.97 (step @p283 :rule instantiate :premises (@p281) :args ((@list tptp.xm tptp.xn @t92))) % 34.20/34.97 (step @p284 :rule cnf_or_pos :args (@t207)) % 34.20/34.97 (step @p285 :rule reordering :premises (@p284) :args ((or @t199 @t125 @t206 @t205 @t204 (not @t207)))) % 34.20/34.97 (step @p286 :rule chain_m_resolution :premises (@p285 @p60 @p57 @p58 @p194 @p283) :args (@t204 (@list true false false false false) (@list @t199 @t83 @t82 @t121 @t207))) % 34.20/34.97 (step @p287 :rule cnf_and_pos :args (@t204 1)) % 34.20/34.97 (step @p288 :rule reordering :premises (@p287) :args ((or @t200 (not @t204)))) % 34.20/34.97 (step @p289 :rule chain_m_resolution :premises (@p288 @p286) :args (@t200 @t132 (@list @t204))) % 34.20/34.97 (step @p290 :rule aci_norm :args ((= (or @t118 @t6) (or @t106 @t105 @t6)))) % 34.20/34.97 (step @p291 :rule refl :args (@t6)) % 34.20/34.97 (step @p292 :rule nary_cong :premises (@p95 @p291) :args ((or @t120 @t6))) % 34.20/34.97 (step @p293 :rule trans :premises (@p292 @p290)) % 34.20/34.97 (step @p294 :rule bool-impl-elim :args (@t8 @t6)) % 34.20/34.97 (step @p295 :rule trans :premises (@p294 @p293)) % 34.20/34.97 (step @p296 :rule cong :premises (@p295) :args (@t10)) % 34.20/34.97 (step @p297 :rule eq_resolve :premises (@p4 @p296)) % 34.20/34.97 (step @p298 :rule instantiate :premises (@p297) :args ((@list @t92 tptp.xm))) % 34.20/34.97 (step @p299 :rule cnf_or_pos :args (@t208)) % 34.20/34.97 (step @p300 :rule reordering :premises (@p299) :args ((or @t206 @t205 @t188 (not @t208)))) % 34.20/34.97 (step @p301 :rule chain_m_resolution :premises (@p300 @p58 @p194 @p298) :args (@t188 @t209 (@list @t82 @t121 @t208))) % 34.20/34.97 (step @p302 :rule instantiate :premises (@p297) :args ((@list tptp.xn tptp.xm))) % 34.20/34.97 (step @p303 :rule cnf_or_pos :args (@t210)) % 34.20/34.97 (step @p304 :rule reordering :premises (@p303) :args ((or @t125 @t206 @t186 (not @t210)))) % 34.20/34.97 (step @p305 :rule chain_m_resolution :premises (@p304 @p57 @p58 @p302) :args (@t186 @t209 (@list @t83 @t82 @t210))) % 34.20/34.97 (step @p306 :rule and_elim :premises (@p39) :args (2)) % 34.20/34.97 (step @p307 :rule cnf_or_pos :args (@t212)) % 34.20/34.97 (step @p308 :rule reordering :premises (@p307) :args ((or @t183 @t187 @t189 @t194 @t211 (not @t212)))) % 34.20/34.97 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p305 @p301 @p289 @p282) :args (@t211 @t152 (@list @t81 @t186 @t188 @t194 @t212))) % 34.20/34.97 (step @p310 :rule cnf_and_pos :args (@t211 1)) % 34.20/34.97 (step @p311 :rule reordering :premises (@p310) :args ((or @t177 (not @t211)))) % 34.20/34.97 (step @p312 :rule chain_m_resolution :premises (@p311 @p309) :args (@t177 @t132 (@list @t211))) % 34.20/34.97 (step @p313 :rule refl :args (@t213)) % 34.20/34.97 (step @p314 :rule bool-double-not-elim :args (@t176)) % 34.20/34.97 (step @p315 :rule nary_cong :premises (@p314 @p313) :args ((or (not @t177) @t213))) % 34.20/34.97 (step @p316 :rule eq-symm :args (@t96 @t85)) % 34.20/34.97 (step @p317 :rule cong :premises (@p316) :args (@t98)) % 34.20/34.97 (step @p318 :rule nary_cong :premises (@p317 @p243) :args (@t99)) % 34.20/34.97 (step @p319 :rule cong :premises (@p318) :args (@t100)) % 34.20/34.97 (step @p320 :rule eq_resolve :premises (@p55 @p319)) % 34.20/34.97 (step @p321 :rule not_and :premises (@p320)) % 34.20/34.97 (step @p322 :rule eq_resolve :premises (@p321 @p315)) % 34.20/34.97 (step @p323 :rule chain_m_resolution :premises (@p322 @p312) :args (@t213 @t214 (@list @t176))) % 34.20/34.97 (step @p324 :rule cnf_and_pos :args (@t193 3)) % 34.20/34.97 (step @p325 :rule reordering :premises (@p324) :args ((or @t97 @t215))) % 34.20/34.97 (step @p326 :rule chain_m_resolution :premises (@p325 @p323) :args (@t215 @t214 (@list @t97))) % 34.20/34.97 (step @p327 :rule cnf_or_pos :args (@t195)) % 34.20/34.97 (step @p328 :rule reordering :premises (@p327) :args ((or @t183 @t187 @t189 @t194 @t185 @t193 (not @t195)))) % 34.20/34.97 (step @p329 :rule chain_m_resolution :premises (@p328 @p306 @p305 @p301 @p289 @p326 @p263) :args (@t185 (@list false false false true true false) (@list @t81 @t186 @t188 @t194 @t193 @t195))) % 34.20/34.97 (step @p330 :rule cnf_and_pos :args (@t217 3)) % 34.20/34.97 (step @p331 :rule reordering :premises (@p330) :args ((or @t184 @t218))) % 34.20/34.97 (step @p332 :rule chain_m_resolution :premises (@p331 @p329) :args (@t218 @t214 (@list @t184))) % 34.20/34.97 (step @p333 :rule refl :args (@t184)) % 34.20/34.97 (step @p334 :rule refl :args (@t200)) % 34.20/34.97 (step @p335 :rule refl :args (@t216)) % 34.20/34.97 (step @p336 :rule eq-symm :args (@t201 @t202)) % 34.20/34.97 (step @p337 :rule cong :premises (@p336) :args (@t219)) % 34.20/34.97 (step @p338 :rule nary_cong :premises (@p337 @p335 @p334 @p333) :args (@t220)) % 34.20/34.97 (step @p339 :rule refl :args (@t206)) % 34.20/34.97 (step @p340 :rule refl :args (@t221)) % 34.20/34.97 (step @p341 :rule eq-symm :args (@t92 tptp.xn)) % 34.20/34.97 (step @p342 :rule refl :args (@t205)) % 34.20/34.97 (step @p343 :rule nary_cong :premises (@p342 @p118 @p341 @p340 @p339 @p338) :args (@t222)) % 34.20/34.97 (step @p344 :rule cong :premises (@p255 @p343) :args ((=> @t191 @t222))) % 34.20/34.97 (assume-push @p361 @t191) % 34.20/34.97 (step @p346 :rule instantiate :premises (@p242) :args ((@list @t92 tptp.xn tptp.xm))) % 34.20/34.97 (step-pop @p362 :rule scope :premises (@p346)) % 34.20/34.97 (step @p347 :rule process_scope :premises (@p362) :args (@t222)) % 34.20/34.97 (step @p349 :rule eq_resolve :premises (@p347 @p344)) % 34.20/34.97 (step @p350 :rule implies_elim :premises (@p349)) % 34.20/34.97 (step @p351 :rule chain_m_resolution :premises (@p350 @p242) :args (@t223 @t132 @t196)) % 34.20/34.97 (step @p352 :rule cnf_or_pos :args (@t223)) % 34.20/34.97 (step @p353 :rule reordering :premises (@p352) :args ((or @t199 @t125 @t206 @t221 @t205 @t217 (not @t223)))) % 34.20/34.97 (step @p354 false :rule chain_m_resolution :premises (@p353 @p351 @p332 @p194 @p61 @p60 @p58 @p57) :args (false (@list false true false false true false false) (@list @t223 @t217 @t121 @t93 @t199 @t82 @t83))) % 34.20/34.97 ) % 34.20/34.97 % SZS output end Proof % 34.20/34.97 % cvc5 exiting %------------------------------------------------------------------------------