%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM508+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 : n016.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 08:39:39 AM UTC 2026 % Result : Theorem 35.82s 36.10s % Output : Proof 35.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM508+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 : n016.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 11:26:09 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 35.82/36.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.82/36.10 --- Run --no-e-matching --full-saturate-quant at 6... % 35.82/36.10 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.82/36.10 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.82/36.10 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.82/36.10 % SZS status Theorem % 35.82/36.10 % SZS output start Proof % 35.82/36.10 ( % 35.82/36.10 (declare-sort $$unsorted 0) % 35.82/36.10 (declare-const tptp.xr $$unsorted) % 35.82/36.10 (declare-const tptp.xk $$unsorted) % 35.82/36.10 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 35.82/36.10 (declare-const tptp.xm $$unsorted) % 35.82/36.10 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.82/36.10 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 35.82/36.10 (declare-const tptp.xn $$unsorted) % 35.82/36.10 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 35.82/36.10 (declare-const tptp.sz00 $$unsorted) % 35.82/36.10 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.82/36.10 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.82/36.10 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.82/36.10 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 35.82/36.10 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 35.82/36.10 (declare-const tptp.sz10 $$unsorted) % 35.82/36.10 (declare-const tptp.xp $$unsorted) % 35.82/36.10 (define @t1 () (@var "W0" $$unsorted)) % 35.82/36.10 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 35.82/36.10 (define @t3 () (@list @t1)) % 35.82/36.10 (define @t4 () (@var "W1" $$unsorted)) % 35.82/36.10 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 35.82/36.10 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 35.82/36.10 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 35.82/36.10 (define @t8 () (and @t2 @t7)) % 35.82/36.10 (define @t9 () (@list @t1 @t4)) % 35.82/36.10 (define @t10 () (forall @t9 (=> @t8 @t6))) % 35.82/36.10 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 35.82/36.10 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 35.82/36.10 (define @t13 () (@var "W2" $$unsorted)) % 35.82/36.10 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 35.82/36.10 (define @t15 () (tptp.sdtpldt0 @t5 @t13)) % 35.82/36.10 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 35.82/36.10 (define @t17 () (and @t2 @t7 @t16)) % 35.82/36.10 (define @t18 () (@list @t1 @t4 @t13)) % 35.82/36.10 (define @t19 () (tptp.sdtasdt0 @t4 @t1)) % 35.82/36.10 (define @t20 () (tptp.sdtasdt0 @t13 @t1)) % 35.82/36.10 (define @t21 () (tptp.sdtasdt0 @t1 @t13)) % 35.82/36.10 (define @t22 () (= @t4 @t13)) % 35.82/36.10 (define @t23 () (tptp.sdtpldt0 @t13 @t1)) % 35.82/36.10 (define @t24 () (tptp.sdtpldt0 @t1 @t13)) % 35.82/36.10 (define @t25 () (= @t19 @t20)) % 35.82/36.10 (define @t26 () (= @t11 @t21)) % 35.82/36.10 (define @t27 () (and @t7 @t16)) % 35.82/36.10 (define @t28 () (= @t1 tptp.sz00)) % 35.82/36.10 (define @t29 () (not @t28)) % 35.82/36.10 (define @t30 () (= @t4 tptp.sz00)) % 35.82/36.10 (define @t31 () (and @t16 (= @t24 @t4))) % 35.82/36.10 (define @t32 () (@list @t13)) % 35.82/36.10 (define @t33 () (tptp.sdtlseqdt0 @t1 @t4)) % 35.82/36.10 (define @t34 () (= @t1 @t4)) % 35.82/36.10 (define @t35 () (tptp.sdtlseqdt0 @t4 @t1)) % 35.82/36.10 (define @t36 () (tptp.sdtlseqdt0 @t4 @t13)) % 35.82/36.10 (define @t37 () (= @t4 @t1)) % 35.82/36.10 (define @t38 () (tptp.sdtpldt0 @t13 @t4)) % 35.82/36.10 (define @t39 () (not @t34)) % 35.82/36.10 (define @t40 () (and @t39 @t33)) % 35.82/36.10 (define @t41 () (= @t1 tptp.sz10)) % 35.82/36.10 (define @t42 () (tptp.iLess0 @t1 @t4)) % 35.82/36.10 (define @t43 () (=> @t40 @t42)) % 35.82/36.10 (define @t44 () (forall @t9 (=> @t8 @t43))) % 35.82/36.10 (define @t45 () (and @t16 (= @t4 @t21))) % 35.82/36.10 (define @t46 () (tptp.doDivides0 @t1 @t4)) % 35.82/36.10 (define @t47 () (tptp.sdtsldt0 @t4 @t1)) % 35.82/36.10 (define @t48 () (and @t29 @t46)) % 35.82/36.10 (define @t49 () (tptp.doDivides0 @t1 @t13)) % 35.82/36.10 (define @t50 () (tptp.doDivides0 @t1 @t14)) % 35.82/36.10 (define @t51 () (tptp.doDivides0 @t4 @t1)) % 35.82/36.10 (define @t52 () (@list @t4)) % 35.82/36.10 (define @t53 () (not @t41)) % 35.82/36.10 (define @t54 () (tptp.aNaturalNumber0 tptp.xp)) % 35.82/36.10 (define @t55 () (tptp.aNaturalNumber0 tptp.xm)) % 35.82/36.10 (define @t56 () (tptp.aNaturalNumber0 tptp.xn)) % 35.82/36.10 (define @t57 () (tptp.doDivides0 @t13 @t4)) % 35.82/36.10 (define @t58 () (@var "W3" $$unsorted)) % 35.82/36.10 (define @t59 () (tptp.sdtasdt0 @t13 @t58)) % 35.82/36.10 (define @t60 () (= @t4 @t59)) % 35.82/36.10 (define @t61 () (tptp.aNaturalNumber0 @t58)) % 35.82/36.10 (define @t62 () (and @t61 @t60)) % 35.82/36.10 (define @t63 () (@list @t58)) % 35.82/36.10 (define @t64 () (exists @t63 @t62)) % 35.82/36.10 (define @t65 () (and @t64 @t57)) % 35.82/36.10 (define @t66 () (tptp.doDivides0 @t13 @t1)) % 35.82/36.10 (define @t67 () (= @t1 @t59)) % 35.82/36.10 (define @t68 () (and @t61 @t67)) % 35.82/36.10 (define @t69 () (exists @t63 @t68)) % 35.82/36.10 (define @t70 () (and @t69 @t66)) % 35.82/36.10 (define @t71 () (or @t70 @t65)) % 35.82/36.10 (define @t72 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 35.82/36.10 (define @t73 () (tptp.sdtpldt0 @t72 tptp.xp)) % 35.82/36.10 (define @t74 () (tptp.iLess0 @t15 @t73)) % 35.82/36.10 (define @t75 () (=> @t74 @t71)) % 35.82/36.10 (define @t76 () (tptp.doDivides0 @t13 @t11)) % 35.82/36.10 (define @t77 () (= @t11 @t59)) % 35.82/36.10 (define @t78 () (and @t61 @t77)) % 35.82/36.10 (define @t79 () (exists @t63 @t78)) % 35.82/36.10 (define @t80 () (or @t79 @t76)) % 35.82/36.10 (define @t81 () (tptp.isPrime0 @t13)) % 35.82/36.10 (define @t82 () (or (= @t58 tptp.sz10) (= @t58 @t13))) % 35.82/36.10 (define @t83 () (tptp.doDivides0 @t58 @t13)) % 35.82/36.10 (define @t84 () (@var "W4" $$unsorted)) % 35.82/36.10 (define @t85 () (= @t13 (tptp.sdtasdt0 @t58 @t84))) % 35.82/36.10 (define @t86 () (tptp.aNaturalNumber0 @t84)) % 35.82/36.10 (define @t87 () (and @t86 @t85)) % 35.82/36.10 (define @t88 () (@list @t84)) % 35.82/36.10 (define @t89 () (exists @t88 @t87)) % 35.82/36.10 (define @t90 () (and @t61 @t89 @t83)) % 35.82/36.10 (define @t91 () (=> @t90 @t82)) % 35.82/36.10 (define @t92 () (forall @t63 @t91)) % 35.82/36.10 (define @t93 () (not (= @t13 tptp.sz10))) % 35.82/36.10 (define @t94 () (not (= @t13 tptp.sz00))) % 35.82/36.10 (define @t95 () (and @t94 @t93 @t92)) % 35.82/36.10 (define @t96 () (or @t95 @t81)) % 35.82/36.10 (define @t97 () (and @t96 @t80)) % 35.82/36.10 (define @t98 () (=> @t97 @t75)) % 35.82/36.10 (define @t99 () (=> @t17 @t98)) % 35.82/36.10 (define @t100 () (forall @t18 @t99)) % 35.82/36.10 (define @t101 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 35.82/36.10 (define @t102 () (tptp.sdtpldt0 tptp.xp @t1)) % 35.82/36.10 (define @t103 () (= tptp.xk tptp.sz10)) % 35.82/36.10 (define @t104 () (= tptp.xk tptp.sz00)) % 35.82/36.10 (define @t105 () (tptp.isPrime0 tptp.xr)) % 35.82/36.10 (define @t106 () (tptp.sdtasdt0 tptp.xr @t1)) % 35.82/36.10 (define @t107 () (tptp.aNaturalNumber0 tptp.xr)) % 35.82/36.10 (define @t108 () (tptp.doDivides0 tptp.xr @t101)) % 35.82/36.10 (define @t109 () (tptp.sdtpldt0 @t72 tptp.xr)) % 35.82/36.10 (define @t110 () (tptp.sdtlseqdt0 @t109 @t73)) % 35.82/36.10 (define @t111 () (= @t109 @t73)) % 35.82/36.10 (define @t112 () (tptp.doDivides0 tptp.xr tptp.xm)) % 35.82/36.10 (define @t113 () (= tptp.xm @t106)) % 35.82/36.10 (define @t114 () (and @t2 @t113)) % 35.82/36.10 (define @t115 () (exists @t3 @t114)) % 35.82/36.10 (define @t116 () (tptp.doDivides0 tptp.xr tptp.xn)) % 35.82/36.10 (define @t117 () (= tptp.xn @t106)) % 35.82/36.10 (define @t118 () (and @t2 @t117)) % 35.82/36.10 (define @t119 () (exists @t3 @t118)) % 35.82/36.10 (define @t120 () (or @t119 @t116 @t115 @t112)) % 35.82/36.10 (define @t121 () (not @t120)) % 35.82/36.10 (define @t122 () (not @t105)) % 35.82/36.10 (define @t123 () (@var "BOUND_VARIABLE_8279" $$unsorted)) % 35.82/36.10 (define @t124 () (tptp.sdtasdt0 @t58 @t123)) % 35.82/36.10 (define @t125 () (not (= tptp.xr @t124))) % 35.82/36.10 (define @t126 () (not (tptp.aNaturalNumber0 @t123))) % 35.82/36.10 (define @t127 () (= tptp.sz10 @t58)) % 35.82/36.10 (define @t128 () (not (tptp.doDivides0 @t58 tptp.xr))) % 35.82/36.10 (define @t129 () (not @t61)) % 35.82/36.10 (define @t130 () (@list @t58 @t123)) % 35.82/36.10 (define @t131 () (= tptp.sz10 tptp.xr)) % 35.82/36.10 (define @t132 () (= tptp.sz00 tptp.xr)) % 35.82/36.10 (define @t133 () (and (or @t132 @t131 (not (forall @t130 (or @t129 @t128 @t127 (= @t58 tptp.xr) @t126 @t125)))) @t122)) % 35.82/36.10 (define @t134 () (not @t133)) % 35.82/36.10 (define @t135 () (@list false)) % 35.82/36.10 (define @t136 () (not @t33)) % 35.82/36.10 (define @t137 () (not @t7)) % 35.82/36.10 (define @t138 () (not @t2)) % 35.82/36.10 (define @t139 () (or @t138 @t137 @t34 @t136 @t42)) % 35.82/36.10 (define @t140 () (or @t34 @t136 @t42)) % 35.82/36.10 (define @t141 () (or @t138 @t137)) % 35.82/36.10 (define @t142 () (not @t8)) % 35.82/36.10 (define @t143 () (tptp.iLess0 @t109 @t73)) % 35.82/36.10 (define @t144 () (not @t110)) % 35.82/36.10 (define @t145 () (tptp.aNaturalNumber0 @t73)) % 35.82/36.10 (define @t146 () (not @t145)) % 35.82/36.10 (define @t147 () (tptp.aNaturalNumber0 @t109)) % 35.82/36.10 (define @t148 () (not @t147)) % 35.82/36.10 (define @t149 () (or @t148 @t146 @t111 @t144 @t143)) % 35.82/36.10 (define @t150 () (forall @t9 @t139)) % 35.82/36.10 (define @t151 () (= @t73 @t109)) % 35.82/36.10 (define @t152 () (or @t148 @t146 @t151 @t144 @t143)) % 35.82/36.10 (define @t153 () (tptp.aNaturalNumber0 @t72)) % 35.82/36.10 (define @t154 () (not @t55)) % 35.82/36.10 (define @t155 () (not @t56)) % 35.82/36.10 (define @t156 () (or @t155 @t154 @t153)) % 35.82/36.10 (define @t157 () (@list false false false)) % 35.82/36.10 (define @t158 () (not @t54)) % 35.82/36.10 (define @t159 () (not @t153)) % 35.82/36.10 (define @t160 () (or @t159 @t158 @t145)) % 35.82/36.10 (define @t161 () (not @t107)) % 35.82/36.10 (define @t162 () (or @t159 @t161 @t147)) % 35.82/36.10 (define @t163 () (and (not (forall @t63 (or @t129 (not @t60)))) @t57)) % 35.82/36.10 (define @t164 () (and (not (forall @t63 (or @t129 (not @t67)))) @t66)) % 35.82/36.10 (define @t165 () (not @t74)) % 35.82/36.10 (define @t166 () (not @t76)) % 35.82/36.10 (define @t167 () (@var "BOUND_VARIABLE_8340" $$unsorted)) % 35.82/36.10 (define @t168 () (or (not (tptp.aNaturalNumber0 @t167)) (not (= @t11 (tptp.sdtasdt0 @t13 @t167))))) % 35.82/36.10 (define @t169 () (and @t168 @t166)) % 35.82/36.10 (define @t170 () (not @t81)) % 35.82/36.10 (define @t171 () (not (= @t13 @t124))) % 35.82/36.10 (define @t172 () (= @t13 @t58)) % 35.82/36.10 (define @t173 () (not @t83)) % 35.82/36.10 (define @t174 () (or @t129 @t173 @t127 @t172 @t126 @t171)) % 35.82/36.10 (define @t175 () (forall @t130 @t174)) % 35.82/36.10 (define @t176 () (not @t175)) % 35.82/36.10 (define @t177 () (= tptp.sz10 @t13)) % 35.82/36.10 (define @t178 () (= tptp.sz00 @t13)) % 35.82/36.10 (define @t179 () (and (or @t178 @t177 @t176) @t170)) % 35.82/36.10 (define @t180 () (not @t16)) % 35.82/36.10 (define @t181 () (or @t138 @t137 @t180 @t179 @t169 @t165 @t164 @t163)) % 35.82/36.10 (define @t182 () (forall (@list @t1 @t4 @t13 @t167) @t181)) % 35.82/36.10 (define @t183 () (@list @t167)) % 35.82/36.10 (define @t184 () (forall @t183 @t181)) % 35.82/36.10 (define @t185 () (forall @t183 @t166)) % 35.82/36.10 (define @t186 () (forall @t183 @t168)) % 35.82/36.10 (define @t187 () (and @t186 @t185)) % 35.82/36.10 (define @t188 () (forall @t183 @t169)) % 35.82/36.10 (define @t189 () (or @t138 @t137 @t180 @t179 @t188 @t165 @t164 @t163)) % 35.82/36.10 (define @t190 () (forall @t63 (or @t129 (not @t77)))) % 35.82/36.10 (define @t191 () (and @t190 @t166)) % 35.82/36.10 (define @t192 () (or @t138 @t137 @t180 @t179 @t191 @t165 @t164 @t163)) % 35.82/36.10 (define @t193 () (or @t179 @t191 @t165 @t164 @t163)) % 35.82/36.10 (define @t194 () (or @t138 @t137 @t180)) % 35.82/36.10 (define @t195 () (or @t165 @t164 @t163)) % 35.82/36.10 (define @t196 () (or @t164 @t163)) % 35.82/36.10 (define @t197 () (not @t190)) % 35.82/36.10 (define @t198 () (not @t177)) % 35.82/36.10 (define @t199 () (not @t198)) % 35.82/36.10 (define @t200 () (not @t178)) % 35.82/36.10 (define @t201 () (not @t200)) % 35.82/36.10 (define @t202 () (or @t201 @t199 @t176)) % 35.82/36.10 (define @t203 () (and @t200 @t198 @t175)) % 35.82/36.10 (define @t204 () (or @t197 @t76)) % 35.82/36.10 (define @t205 () (or @t203 @t81)) % 35.82/36.10 (define @t206 () (=> @t74 @t196)) % 35.82/36.10 (define @t207 () (and @t205 @t204)) % 35.82/36.10 (define @t208 () (=> @t207 @t206)) % 35.82/36.10 (define @t209 () (forall @t63 (not @t62))) % 35.82/36.10 (define @t210 () (not @t209)) % 35.82/36.10 (define @t211 () (forall @t63 (not @t68))) % 35.82/36.10 (define @t212 () (not @t211)) % 35.82/36.10 (define @t213 () (forall @t63 (not @t78))) % 35.82/36.10 (define @t214 () (not @t213)) % 35.82/36.10 (define @t215 () (or @t126 @t171)) % 35.82/36.10 (define @t216 () (or @t129 @t215 @t173 @t127 @t172)) % 35.82/36.10 (define @t217 () (forall @t130 @t216)) % 35.82/36.10 (define @t218 () (@list @t123)) % 35.82/36.10 (define @t219 () (forall @t218 @t216)) % 35.82/36.10 (define @t220 () (forall @t218 @t215)) % 35.82/36.10 (define @t221 () (or @t129 @t220 @t173 @t127 @t172)) % 35.82/36.10 (define @t222 () (forall @t88 (or (not @t86) (not @t85)))) % 35.82/36.10 (define @t223 () (or @t129 @t222 @t173 @t127 @t172)) % 35.82/36.10 (define @t224 () (or @t127 @t172)) % 35.82/36.10 (define @t225 () (not @t222)) % 35.82/36.10 (define @t226 () (not @t225)) % 35.82/36.10 (define @t227 () (or @t129 @t226 @t173)) % 35.82/36.10 (define @t228 () (and @t61 @t225 @t83)) % 35.82/36.10 (define @t229 () (forall @t88 (not @t87))) % 35.82/36.10 (define @t230 () (not @t229)) % 35.82/36.10 (define @t231 () (tptp.sdtasdt0 tptp.xr @t58)) % 35.82/36.10 (define @t232 () (and (not (forall @t63 (or @t129 (not (= tptp.xm @t231))))) @t112)) % 35.82/36.10 (define @t233 () (and (not (forall @t63 (or @t129 (not (= tptp.xn @t231))))) @t116)) % 35.82/36.10 (define @t234 () (not @t143)) % 35.82/36.10 (define @t235 () (not @t108)) % 35.82/36.10 (define @t236 () (and (or @t155 (not (= @t101 (tptp.sdtasdt0 tptp.xr tptp.xn)))) @t235)) % 35.82/36.10 (define @t237 () (or @t129 @t128 @t127 (= tptp.xr @t58) @t126 @t125)) % 35.82/36.10 (define @t238 () (forall @t130 @t237)) % 35.82/36.10 (define @t239 () (not @t238)) % 35.82/36.10 (define @t240 () (or @t132 @t131 @t239)) % 35.82/36.10 (define @t241 () (and @t240 @t122)) % 35.82/36.10 (define @t242 () (or @t155 @t154 @t161 @t241 @t236 @t234 @t233 @t232)) % 35.82/36.10 (define @t243 () (or @t155 @t154 @t161 @t133 @t236 @t234 @t233 @t232)) % 35.82/36.10 (define @t244 () (forall @t3 (not @t114))) % 35.82/36.10 (define @t245 () (not @t244)) % 35.82/36.10 (define @t246 () (forall @t3 (not @t118))) % 35.82/36.10 (define @t247 () (not @t246)) % 35.82/36.10 (define @t248 () (not @t232)) % 35.82/36.10 (define @t249 () (@list true)) % 35.82/36.10 (define @t250 () (not @t236)) % 35.82/36.10 (define @t251 () (not @t233)) % 35.82/36.10 (assume @p1 (forall @t3 (=> @t2 true))) % 35.82/36.10 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 35.82/36.10 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 35.82/36.10 (assume @p4 @t10) % 35.82/36.10 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t11)))) % 35.82/36.10 (assume @p6 (forall @t9 (=> @t8 (= @t5 @t12)))) % 35.82/36.10 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 35.82/36.10 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 35.82/36.10 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t19)))) % 35.82/36.10 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t11 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))))) % 35.82/36.10 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 35.82/36.10 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 35.82/36.10 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t11 @t21)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t20)))))) % 35.82/36.10 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t5 @t24) (= @t12 @t23)) @t22)))) % 35.82/36.10 (assume @p15 (forall @t3 (=> @t2 (=> @t29 (forall (@list @t4 @t13) (=> @t27 (=> (or @t26 @t25) @t22))))))) % 35.82/36.10 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t28 @t30))))) % 35.82/36.10 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t28 @t30))))) % 35.82/36.10 (assume @p18 (forall @t9 (=> @t8 (= @t33 (exists @t32 @t31))))) % 35.82/36.10 (assume @p19 (forall @t9 (=> @t8 (=> @t33 (forall @t32 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t31)))))) % 35.82/36.10 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 35.82/36.10 (assume @p21 (forall @t9 (=> @t8 (=> (and @t33 @t35) @t34)))) % 35.82/36.10 (assume @p22 (forall @t18 (=> @t17 (=> (and @t33 @t36) (tptp.sdtlseqdt0 @t1 @t13))))) % 35.82/36.10 (assume @p23 (forall @t9 (=> @t8 (or @t33 (and (not @t37) @t35))))) % 35.82/36.10 (assume @p24 (forall @t9 (=> @t8 (=> @t40 (forall @t32 (=> @t16 (and (not (= @t23 @t38)) (tptp.sdtlseqdt0 @t23 @t38) (not (= @t24 @t14)) (tptp.sdtlseqdt0 @t24 @t14)))))))) % 35.82/36.10 (assume @p25 (forall @t18 (=> @t17 (=> (and @t29 (not @t22) @t36) (and (not @t26) (tptp.sdtlseqdt0 @t11 @t21) (not @t25) (tptp.sdtlseqdt0 @t19 @t20)))))) % 35.82/36.10 (assume @p26 (forall @t3 (=> @t2 (or @t28 @t41 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 35.82/36.10 (assume @p27 (forall @t9 (=> @t8 (=> @t29 (tptp.sdtlseqdt0 @t4 @t19))))) % 35.82/36.10 (assume @p28 (forall @t9 (=> @t8 (=> @t42 true)))) % 35.82/36.10 (assume @p29 @t44) % 35.82/36.10 (assume @p30 (forall @t9 (=> @t8 (= @t46 (exists @t32 @t45))))) % 35.82/36.10 (assume @p31 (forall @t9 (=> @t8 (=> @t48 (forall @t32 (= (= @t13 @t47) @t45)))))) % 35.82/36.10 (assume @p32 (forall @t18 (=> @t17 (=> (and @t46 (tptp.doDivides0 @t4 @t13)) @t49)))) % 35.82/36.10 (assume @p33 (forall @t18 (=> @t17 (=> (and @t46 @t49) @t50)))) % 35.82/36.10 (assume @p34 (forall @t18 (=> @t17 (=> (and @t46 @t50) @t49)))) % 35.82/36.10 (assume @p35 (forall @t9 (=> @t8 (=> (and @t46 (not @t30)) @t33)))) % 35.82/36.10 (assume @p36 (forall @t9 (=> @t8 (=> @t48 (forall @t32 (=> @t16 (= (tptp.sdtasdt0 @t13 @t47) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t4) @t1)))))))) % 35.82/36.10 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t29 @t53 (forall @t52 (=> (and @t7 @t51) (or (= @t4 tptp.sz10) @t37)))))))) % 35.82/36.10 (assume @p38 (forall @t3 (=> (and @t2 @t29 @t53) (exists @t52 (and @t7 @t51 (tptp.isPrime0 @t4)))))) % 35.82/36.10 (assume @p39 (and @t56 @t55 @t54)) % 35.82/36.10 (assume @p40 @t100) % 35.82/36.10 (assume @p41 (and (not (= tptp.xp tptp.sz00)) (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t52 (and @t7 (= tptp.xp @t11))) (tptp.doDivides0 @t1 tptp.xp))) (or @t41 (= @t1 tptp.xp)))) (tptp.isPrime0 tptp.xp) (exists @t3 (and @t2 (= @t101 (tptp.sdtasdt0 tptp.xp @t1)))) (tptp.doDivides0 tptp.xp @t101))) % 35.82/36.10 (assume @p42 (not (or (exists @t3 (and @t2 (= @t102 tptp.xn))) (tptp.sdtlseqdt0 tptp.xp tptp.xn)))) % 35.82/36.10 (assume @p43 (not (or (exists @t3 (and @t2 (= @t102 tptp.xm))) (tptp.sdtlseqdt0 tptp.xp tptp.xm)))) % 35.82/36.10 (assume @p44 (and (not (= tptp.xn tptp.xp)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xn @t1) tptp.xp))) (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not (= tptp.xm tptp.xp)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xm @t1) tptp.xp))) (tptp.sdtlseqdt0 tptp.xm tptp.xp))) % 35.82/36.10 (assume @p45 (and (tptp.aNaturalNumber0 tptp.xk) (= @t101 (tptp.sdtasdt0 tptp.xp tptp.xk)) (= tptp.xk (tptp.sdtsldt0 @t101 tptp.xp)))) % 35.82/36.10 (assume @p46 (not (or @t104 @t103))) % 35.82/36.10 (assume @p47 (and (not @t104) (not @t103))) % 35.82/36.10 (assume @p48 (and @t107 (exists @t3 (and @t2 (= tptp.xk @t106))) (tptp.doDivides0 tptp.xr tptp.xk) (not (= tptp.xr tptp.sz00)) (not (= tptp.xr tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t52 (and @t7 (= tptp.xr @t11))) (tptp.doDivides0 @t1 tptp.xr))) (or @t41 (= @t1 tptp.xr)))) @t105)) % 35.82/36.10 (assume @p49 (and (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xr @t1) tptp.xk))) (exists @t3 (and @t2 (= @t101 @t106))) @t108)) % 35.82/36.10 (assume @p50 (and (not (= tptp.xk tptp.xp)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xk @t1) tptp.xp))) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 35.82/36.10 (assume @p51 (and (not @t111) (exists @t3 (and @t2 (= (tptp.sdtpldt0 @t109 @t1) @t73))) @t110)) % 35.82/36.10 (assume @p52 @t121) % 35.82/36.10 (assume @p53 true) % 35.82/36.10 (step @p54 :rule and_elim :premises (@p39) :args (0)) % 35.82/36.10 (step @p55 :rule and_elim :premises (@p39) :args (1)) % 35.82/36.10 (step @p56 :rule and_elim :premises (@p48) :args (0)) % 35.82/36.10 (step @p57 :rule and_elim :premises (@p48) :args (6)) % 35.82/36.10 (step @p58 :rule cnf_and_pos :args (@t133 1)) % 35.82/36.10 (step @p59 :rule reordering :premises (@p58) :args ((or @t122 @t134))) % 35.82/36.10 (step @p60 :rule chain_m_resolution :premises (@p59 @p57) :args (@t134 @t135 (@list @t105))) % 35.82/36.10 (step @p61 :rule aci_norm :args ((= (or @t141 @t140) @t139))) % 35.82/36.10 (step @p62 :rule aci_norm :args ((= (or (or @t34 @t136) @t42) @t140))) % 35.82/36.10 (step @p63 :rule refl :args (@t42)) % 35.82/36.10 (step @p64 :rule refl :args (@t136)) % 35.82/36.10 (step @p65 :rule bool-double-not-elim :args (@t34)) % 35.82/36.10 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t39) @t136))) % 35.82/36.10 (step @p67 :rule bool-and-de-morgan :args (@t39 @t33 true)) % 35.82/36.10 (step @p68 :rule trans :premises (@p67 @p66)) % 35.82/36.10 (step @p69 :rule nary_cong :premises (@p68 @p63) :args ((or (not @t40) @t42))) % 35.82/36.10 (step @p70 :rule trans :premises (@p69 @p62)) % 35.82/36.10 (step @p71 :rule bool-impl-elim :args (@t40 @t42)) % 35.82/36.10 (step @p72 :rule trans :premises (@p71 @p70)) % 35.82/36.10 (step @p73 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 35.82/36.10 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t142 @t43))) % 35.82/36.10 (step @p75 :rule trans :premises (@p74 @p61)) % 35.82/36.10 (step @p76 :rule bool-impl-elim :args (@t8 @t43)) % 35.82/36.10 (step @p77 :rule trans :premises (@p76 @p75)) % 35.82/36.10 (step @p78 :rule cong :premises (@p77) :args (@t44)) % 35.82/36.10 (step @p79 :rule eq_resolve :premises (@p29 @p78)) % 35.82/36.10 (step @p80 :rule refl :args (@t143)) % 35.82/36.10 (step @p81 :rule refl :args (@t144)) % 35.82/36.10 (step @p82 :rule eq-symm :args (@t109 @t73)) % 35.82/36.10 (step @p83 :rule refl :args (@t146)) % 35.82/36.10 (step @p84 :rule refl :args (@t148)) % 35.82/36.10 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81 @p80) :args (@t149)) % 35.82/36.10 (step @p86 :rule refl :args (@t150)) % 35.82/36.10 (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t150 @t149))) % 35.82/36.10 (assume-push @p331 @t150) % 35.82/36.10 (step @p89 :rule instantiate :premises (@p79) :args ((@list @t109 @t73))) % 35.82/36.10 (step-pop @p332 :rule scope :premises (@p89)) % 35.82/36.10 (step @p90 :rule process_scope :premises (@p332) :args (@t149)) % 35.82/36.10 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 35.82/36.10 (step @p93 :rule implies_elim :premises (@p92)) % 35.82/36.10 (step @p94 :rule chain_m_resolution :premises (@p93 @p79) :args (@t152 @t135 (@list @t150))) % 35.82/36.10 (step @p95 :rule aci_norm :args ((= (or @t141 @t6) (or @t138 @t137 @t6)))) % 35.82/36.10 (step @p96 :rule refl :args (@t6)) % 35.82/36.10 (step @p97 :rule nary_cong :premises (@p73 @p96) :args ((or @t142 @t6))) % 35.82/36.10 (step @p98 :rule trans :premises (@p97 @p95)) % 35.82/36.10 (step @p99 :rule bool-impl-elim :args (@t8 @t6)) % 35.82/36.10 (step @p100 :rule trans :premises (@p99 @p98)) % 35.82/36.10 (step @p101 :rule cong :premises (@p100) :args (@t10)) % 35.82/36.10 (step @p102 :rule eq_resolve :premises (@p4 @p101)) % 35.82/36.10 (step @p103 :rule instantiate :premises (@p102) :args ((@list @t72 tptp.xp))) % 35.82/36.10 (step @p104 :rule instantiate :premises (@p102) :args ((@list tptp.xn tptp.xm))) % 35.82/36.10 (step @p105 :rule cnf_or_pos :args (@t156)) % 35.82/36.10 (step @p106 :rule reordering :premises (@p105) :args ((or @t155 @t154 @t153 (not @t156)))) % 35.82/36.10 (step @p107 :rule chain_m_resolution :premises (@p106 @p54 @p55 @p104) :args (@t153 @t157 (@list @t56 @t55 @t156))) % 35.82/36.10 (step @p108 :rule and_elim :premises (@p39) :args (2)) % 35.82/36.10 (step @p109 :rule cnf_or_pos :args (@t160)) % 35.82/36.10 (step @p110 :rule reordering :premises (@p109) :args ((or @t158 @t145 @t159 (not @t160)))) % 35.82/36.10 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p107 @p103) :args (@t145 @t157 (@list @t54 @t153 @t160))) % 35.82/36.10 (step @p112 :rule instantiate :premises (@p102) :args ((@list @t72 tptp.xr))) % 35.82/36.10 (step @p113 :rule cnf_or_pos :args (@t162)) % 35.82/36.10 (step @p114 :rule reordering :premises (@p113) :args ((or @t161 @t147 @t159 (not @t162)))) % 35.82/36.10 (step @p115 :rule chain_m_resolution :premises (@p114 @p56 @p107 @p112) :args (@t147 @t157 (@list @t107 @t153 @t162))) % 35.82/36.10 (step @p116 :rule and_elim :premises (@p51) :args (2)) % 35.82/36.10 (step @p117 :rule and_elim :premises (@p51) :args (0)) % 35.82/36.10 (step @p118 :rule symm :premises (@p117)) % 35.82/36.10 (step @p119 :rule cnf_or_pos :args (@t152)) % 35.82/36.10 (step @p120 :rule reordering :premises (@p119) :args ((or @t151 @t144 @t148 @t146 @t143 (not @t152)))) % 35.82/36.10 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p116 @p115 @p111 @p94) :args (@t143 (@list true false false false false) (@list @t151 @t110 @t147 @t145 @t152))) % 35.82/36.10 (step @p122 :rule quant-merge-prenex :args ((= (forall @t18 @t184) @t182))) % 35.82/36.10 (step @p123 :rule refl :args (@t163)) % 35.82/36.10 (step @p124 :rule refl :args (@t164)) % 35.82/36.10 (step @p125 :rule refl :args (@t165)) % 35.82/36.10 (step @p126 :rule quant-unused-vars :args ((= @t185 @t166))) % 35.82/36.10 (step @p127 :rule alpha_equiv :args (@t186 (@list @t167) (@list @t58))) % 35.82/36.10 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t187)) % 35.82/36.10 (step @p129 :rule quant-miniscope-and :args ((= @t188 @t187))) % 35.82/36.10 (step @p130 :rule trans :premises (@p129 @p128)) % 35.82/36.10 (step @p131 :rule refl :args (@t179)) % 35.82/36.10 (step @p132 :rule refl :args (@t180)) % 35.82/36.10 (step @p133 :rule refl :args (@t137)) % 35.82/36.10 (step @p134 :rule refl :args (@t138)) % 35.82/36.10 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132 @p131 @p130 @p125 @p124 @p123) :args (@t189)) % 35.82/36.10 (step @p136 :rule quant-miniscope-or :args ((= @t184 @t189))) % 35.82/36.10 (step @p137 :rule trans :premises (@p136 @p135)) % 35.82/36.10 (step @p138 :rule symm :premises (@p137)) % 35.82/36.10 (step @p139 :rule cong :premises (@p138) :args ((forall @t18 @t192))) % 35.82/36.10 (step @p140 :rule trans :premises (@p139 @p122)) % 35.82/36.10 (step @p141 :rule aci_norm :args ((= (or @t194 @t193) @t192))) % 35.82/36.10 (step @p142 :rule aci_norm :args ((= (or (or @t179 @t191) @t195) @t193))) % 35.82/36.10 (step @p143 :rule aci_norm :args ((= (or @t165 @t196) @t195))) % 35.82/36.10 (step @p144 :rule bool-impl-elim :args (@t74 @t196)) % 35.82/36.10 (step @p145 :rule trans :premises (@p144 @p143)) % 35.82/36.10 (step @p146 :rule refl :args (@t166)) % 35.82/36.10 (step @p147 :rule bool-double-not-elim :args (@t190)) % 35.82/36.10 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((and (not @t197) @t166))) % 35.82/36.10 (step @p149 :rule bool-or-de-morgan :args (@t197 @t76 false)) % 35.82/36.10 (step @p150 :rule trans :premises (@p149 @p148)) % 35.82/36.10 (step @p151 :rule refl :args (@t170)) % 35.82/36.10 (step @p152 :rule refl :args (@t176)) % 35.82/36.10 (step @p153 :rule bool-double-not-elim :args (@t177)) % 35.82/36.10 (step @p154 :rule bool-double-not-elim :args (@t178)) % 35.82/36.10 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152) :args (@t202)) % 35.82/36.10 (step @p156 :rule aci_norm :args ((= (or @t201 (or @t199 @t176)) @t202))) % 35.82/36.10 (step @p157 :rule trans :premises (@p156 @p155)) % 35.82/36.10 (step @p158 :rule bool-and-de-morgan :args (@t198 @t175 true)) % 35.82/36.10 (step @p159 :rule refl :args (@t201)) % 35.82/36.10 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t201 (not (and @t198 @t175))))) % 35.82/36.10 (step @p161 :rule bool-and-de-morgan :args (@t200 @t198 (and @t175))) % 35.82/36.10 (step @p162 :rule trans :premises (@p161 @p160)) % 35.82/36.10 (step @p163 :rule trans :premises (@p162 @p157)) % 35.82/36.10 (step @p164 :rule nary_cong :premises (@p163 @p151) :args ((and (not @t203) @t170))) % 35.82/36.10 (step @p165 :rule bool-or-de-morgan :args (@t203 @t81 false)) % 35.82/36.10 (step @p166 :rule trans :premises (@p165 @p164)) % 35.82/36.10 (step @p167 :rule nary_cong :premises (@p166 @p150) :args ((or (not @t205) (not @t204)))) % 35.82/36.10 (step @p168 :rule bool-and-de-morgan :args (@t205 @t204 true)) % 35.82/36.10 (step @p169 :rule trans :premises (@p168 @p167)) % 35.82/36.10 (step @p170 :rule nary_cong :premises (@p169 @p145) :args ((or (not @t207) @t206))) % 35.82/36.10 (step @p171 :rule trans :premises (@p170 @p142)) % 35.82/36.10 (step @p172 :rule bool-impl-elim :args (@t207 @t206)) % 35.82/36.10 (step @p173 :rule trans :premises (@p172 @p171)) % 35.82/36.10 (step @p174 :rule aci_norm :args ((= (or @t138 (or @t137 @t180)) @t194))) % 35.82/36.10 (step @p175 :rule bool-and-de-morgan :args (@t7 @t16 true)) % 35.82/36.10 (step @p176 :rule nary_cong :premises (@p134 @p175) :args ((or @t138 (not @t27)))) % 35.82/36.10 (step @p177 :rule bool-and-de-morgan :args (@t2 @t7 (and @t16))) % 35.82/36.10 (step @p178 :rule trans :premises (@p177 @p176)) % 35.82/36.10 (step @p179 :rule trans :premises (@p178 @p174)) % 35.82/36.10 (step @p180 :rule nary_cong :premises (@p179 @p173) :args ((or (not @t17) @t208))) % 35.82/36.10 (step @p181 :rule trans :premises (@p180 @p141)) % 35.82/36.10 (step @p182 :rule bool-impl-elim :args (@t17 @t208)) % 35.82/36.10 (step @p183 :rule trans :premises (@p182 @p181)) % 35.82/36.10 (step @p184 :rule cong :premises (@p183) :args ((forall @t18 (=> @t17 @t208)))) % 35.82/36.10 (step @p185 :rule trans :premises (@p184 @p140)) % 35.82/36.10 (step @p186 :rule refl :args (@t57)) % 35.82/36.10 (step @p187 :rule bool-and-de-morgan :args (@t61 @t60 true)) % 35.82/36.10 (step @p188 :rule cong :premises (@p187) :args (@t209)) % 35.82/36.10 (step @p189 :rule cong :premises (@p188) :args (@t210)) % 35.82/36.10 (step @p190 :rule exists-elim :args ((= @t64 @t210))) % 35.82/36.10 (step @p191 :rule trans :premises (@p190 @p189)) % 35.82/36.10 (step @p192 :rule nary_cong :premises (@p191 @p186) :args (@t65)) % 35.82/36.10 (step @p193 :rule refl :args (@t66)) % 35.82/36.10 (step @p194 :rule bool-and-de-morgan :args (@t61 @t67 true)) % 35.82/36.10 (step @p195 :rule cong :premises (@p194) :args (@t211)) % 35.82/36.10 (step @p196 :rule cong :premises (@p195) :args (@t212)) % 35.82/36.10 (step @p197 :rule exists-elim :args ((= @t69 @t212))) % 35.82/36.10 (step @p198 :rule trans :premises (@p197 @p196)) % 35.82/36.10 (step @p199 :rule nary_cong :premises (@p198 @p193) :args (@t70)) % 35.82/36.10 (step @p200 :rule nary_cong :premises (@p199 @p192) :args (@t71)) % 35.82/36.10 (step @p201 :rule refl :args (@t74)) % 35.82/36.10 (step @p202 :rule cong :premises (@p201 @p200) :args (@t75)) % 35.82/36.10 (step @p203 :rule refl :args (@t76)) % 35.82/36.10 (step @p204 :rule bool-and-de-morgan :args (@t61 @t77 true)) % 35.82/36.10 (step @p205 :rule cong :premises (@p204) :args (@t213)) % 35.82/36.10 (step @p206 :rule cong :premises (@p205) :args (@t214)) % 35.82/36.10 (step @p207 :rule exists-elim :args ((= @t79 @t214))) % 35.82/36.10 (step @p208 :rule trans :premises (@p207 @p206)) % 35.82/36.10 (step @p209 :rule nary_cong :premises (@p208 @p203) :args (@t80)) % 35.82/36.10 (step @p210 :rule refl :args (@t81)) % 35.82/36.10 (step @p211 :rule aci_norm :args ((= @t216 @t174))) % 35.82/36.10 (step @p212 :rule cong :premises (@p211) :args (@t217)) % 35.82/36.10 (step @p213 :rule quant-merge-prenex :args ((= (forall @t63 @t219) @t217))) % 35.82/36.10 (step @p214 :rule refl :args (@t172)) % 35.82/36.10 (step @p215 :rule refl :args (@t127)) % 35.82/36.10 (step @p216 :rule refl :args (@t173)) % 35.82/36.10 (step @p217 :rule alpha_equiv :args (@t220 (@list @t123) (@list @t84))) % 35.82/36.10 (step @p218 :rule refl :args (@t129)) % 35.82/36.10 (step @p219 :rule nary_cong :premises (@p218 @p217 @p216 @p215 @p214) :args (@t221)) % 35.82/36.10 (step @p220 :rule quant-miniscope-or :args ((= @t219 @t221))) % 35.82/36.10 (step @p221 :rule trans :premises (@p220 @p219)) % 35.82/36.10 (step @p222 :rule symm :premises (@p221)) % 35.82/36.10 (step @p223 :rule cong :premises (@p222) :args ((forall @t63 @t223))) % 35.82/36.10 (step @p224 :rule trans :premises (@p223 @p213)) % 35.82/36.10 (step @p225 :rule trans :premises (@p224 @p212)) % 35.82/36.10 (step @p226 :rule aci_norm :args ((= (or (or @t129 @t222 @t173) @t224) @t223))) % 35.82/36.10 (step @p227 :rule refl :args (@t224)) % 35.82/36.10 (step @p228 :rule bool-double-not-elim :args (@t222)) % 35.82/36.10 (step @p229 :rule nary_cong :premises (@p218 @p228 @p216) :args (@t227)) % 35.82/36.10 (step @p230 :rule aci_norm :args ((= (or @t129 (or @t226 @t173)) @t227))) % 35.82/36.10 (step @p231 :rule trans :premises (@p230 @p229)) % 35.82/36.10 (step @p232 :rule bool-and-de-morgan :args (@t225 @t83 true)) % 35.82/36.10 (step @p233 :rule nary_cong :premises (@p218 @p232) :args ((or @t129 (not (and @t225 @t83))))) % 35.82/36.10 (step @p234 :rule bool-and-de-morgan :args (@t61 @t225 (and @t83))) % 35.82/36.10 (step @p235 :rule trans :premises (@p234 @p233)) % 35.82/36.10 (step @p236 :rule trans :premises (@p235 @p231)) % 35.82/36.10 (step @p237 :rule nary_cong :premises (@p236 @p227) :args ((or (not @t228) @t224))) % 35.82/36.10 (step @p238 :rule trans :premises (@p237 @p226)) % 35.82/36.10 (step @p239 :rule bool-impl-elim :args (@t228 @t224)) % 35.82/36.10 (step @p240 :rule trans :premises (@p239 @p238)) % 35.82/36.10 (step @p241 :rule cong :premises (@p240) :args ((forall @t63 (=> @t228 @t224)))) % 35.82/36.10 (step @p242 :rule trans :premises (@p241 @p225)) % 35.82/36.10 (step @p243 :rule eq-symm :args (@t58 @t13)) % 35.82/36.10 (step @p244 :rule eq-symm :args (@t58 tptp.sz10)) % 35.82/36.10 (step @p245 :rule nary_cong :premises (@p244 @p243) :args (@t82)) % 35.82/36.10 (step @p246 :rule refl :args (@t83)) % 35.82/36.10 (step @p247 :rule bool-and-de-morgan :args (@t86 @t85 true)) % 35.82/36.10 (step @p248 :rule cong :premises (@p247) :args (@t229)) % 35.82/36.10 (step @p249 :rule cong :premises (@p248) :args (@t230)) % 35.82/36.10 (step @p250 :rule exists-elim :args ((= @t89 @t230))) % 35.82/36.10 (step @p251 :rule trans :premises (@p250 @p249)) % 35.82/36.10 (step @p252 :rule refl :args (@t61)) % 35.82/36.10 (step @p253 :rule nary_cong :premises (@p252 @p251 @p246) :args (@t90)) % 35.82/36.10 (step @p254 :rule cong :premises (@p253 @p245) :args (@t91)) % 35.82/36.10 (step @p255 :rule cong :premises (@p254) :args (@t92)) % 35.82/36.10 (step @p256 :rule trans :premises (@p255 @p242)) % 35.82/36.10 (step @p257 :rule eq-symm :args (@t13 tptp.sz10)) % 35.82/36.10 (step @p258 :rule cong :premises (@p257) :args (@t93)) % 35.82/36.10 (step @p259 :rule eq-symm :args (@t13 tptp.sz00)) % 35.82/36.10 (step @p260 :rule cong :premises (@p259) :args (@t94)) % 35.82/36.10 (step @p261 :rule nary_cong :premises (@p260 @p258 @p256) :args (@t95)) % 35.82/36.10 (step @p262 :rule nary_cong :premises (@p261 @p210) :args (@t96)) % 35.82/36.10 (step @p263 :rule nary_cong :premises (@p262 @p209) :args (@t97)) % 35.82/36.10 (step @p264 :rule cong :premises (@p263 @p202) :args (@t98)) % 35.82/36.10 (step @p265 :rule refl :args (@t17)) % 35.82/36.10 (step @p266 :rule cong :premises (@p265 @p264) :args (@t99)) % 35.82/36.10 (step @p267 :rule cong :premises (@p266) :args (@t100)) % 35.82/36.10 (step @p268 :rule trans :premises (@p267 @p185)) % 35.82/36.10 (step @p269 :rule eq_resolve :premises (@p40 @p268)) % 35.82/36.10 (step @p270 :rule refl :args (@t232)) % 35.82/36.10 (step @p271 :rule refl :args (@t233)) % 35.82/36.10 (step @p272 :rule refl :args (@t234)) % 35.82/36.10 (step @p273 :rule refl :args (@t236)) % 35.82/36.10 (step @p274 :rule refl :args (@t122)) % 35.82/36.10 (step @p275 :rule refl :args (@t125)) % 35.82/36.10 (step @p276 :rule refl :args (@t126)) % 35.82/36.10 (step @p277 :rule eq-symm :args (tptp.xr @t58)) % 35.82/36.10 (step @p278 :rule refl :args (@t127)) % 35.82/36.10 (step @p279 :rule refl :args (@t128)) % 35.82/36.10 (step @p280 :rule refl :args (@t129)) % 35.82/36.10 (step @p281 :rule nary_cong :premises (@p280 @p279 @p278 @p277 @p276 @p275) :args (@t237)) % 35.82/36.10 (step @p282 :rule cong :premises (@p281) :args (@t238)) % 35.82/36.10 (step @p283 :rule cong :premises (@p282) :args (@t239)) % 35.82/36.10 (step @p284 :rule refl :args (@t131)) % 35.82/36.10 (step @p285 :rule refl :args (@t132)) % 35.82/36.10 (step @p286 :rule nary_cong :premises (@p285 @p284 @p283) :args (@t240)) % 35.82/36.10 (step @p287 :rule nary_cong :premises (@p286 @p274) :args (@t241)) % 35.82/36.10 (step @p288 :rule refl :args (@t161)) % 35.82/36.10 (step @p289 :rule refl :args (@t154)) % 35.82/36.10 (step @p290 :rule refl :args (@t155)) % 35.82/36.10 (step @p291 :rule nary_cong :premises (@p290 @p289 @p288 @p287 @p273 @p272 @p271 @p270) :args (@t242)) % 35.82/36.10 (step @p292 :rule refl :args (@t182)) % 35.82/36.10 (step @p293 :rule cong :premises (@p292 @p291) :args ((=> @t182 @t242))) % 35.82/36.10 (assume-push @p333 @t182) % 35.82/36.10 (step @p295 :rule instantiate :premises (@p269) :args ((@list tptp.xn tptp.xm tptp.xr tptp.xn))) % 35.82/36.10 (step-pop @p334 :rule scope :premises (@p295)) % 35.82/36.10 (step @p296 :rule process_scope :premises (@p334) :args (@t242)) % 35.82/36.10 (step @p298 :rule eq_resolve :premises (@p296 @p293)) % 35.82/36.10 (step @p299 :rule implies_elim :premises (@p298)) % 35.82/36.10 (step @p300 :rule chain_m_resolution :premises (@p299 @p269) :args (@t243 @t135 (@list @t182))) % 35.82/36.10 (step @p301 :rule refl :args (@t112)) % 35.82/36.10 (step @p302 :rule bool-and-de-morgan :args (@t2 @t113 true)) % 35.82/36.10 (step @p303 :rule cong :premises (@p302) :args (@t244)) % 35.82/36.10 (step @p304 :rule cong :premises (@p303) :args (@t245)) % 35.82/36.10 (step @p305 :rule exists-elim :args ((= @t115 @t245))) % 35.82/36.10 (step @p306 :rule trans :premises (@p305 @p304)) % 35.82/36.10 (step @p307 :rule refl :args (@t116)) % 35.82/36.10 (step @p308 :rule bool-and-de-morgan :args (@t2 @t117 true)) % 35.82/36.10 (step @p309 :rule cong :premises (@p308) :args (@t246)) % 35.82/36.10 (step @p310 :rule cong :premises (@p309) :args (@t247)) % 35.82/36.10 (step @p311 :rule exists-elim :args ((= @t119 @t247))) % 35.82/36.10 (step @p312 :rule trans :premises (@p311 @p310)) % 35.82/36.10 (step @p313 :rule nary_cong :premises (@p312 @p307 @p306 @p301) :args (@t120)) % 35.82/36.10 (step @p314 :rule cong :premises (@p313) :args (@t121)) % 35.82/36.10 (step @p315 :rule eq_resolve :premises (@p52 @p314)) % 35.82/36.10 (step @p316 :rule not_or_elim :premises (@p315) :args (3)) % 35.82/36.10 (step @p317 :rule cnf_and_pos :args (@t232 1)) % 35.82/36.10 (step @p318 :rule reordering :premises (@p317) :args ((or @t112 @t248))) % 35.82/36.10 (step @p319 :rule chain_m_resolution :premises (@p318 @p316) :args (@t248 @t249 (@list @t112))) % 35.82/36.10 (step @p320 :rule and_elim :premises (@p49) :args (2)) % 35.82/36.10 (step @p321 :rule cnf_and_pos :args (@t236 1)) % 35.82/36.10 (step @p322 :rule reordering :premises (@p321) :args ((or @t235 @t250))) % 35.82/36.10 (step @p323 :rule chain_m_resolution :premises (@p322 @p320) :args (@t250 @t135 (@list @t108))) % 35.82/36.10 (step @p324 :rule not_or_elim :premises (@p315) :args (1)) % 35.82/36.10 (step @p325 :rule cnf_and_pos :args (@t233 1)) % 35.82/36.10 (step @p326 :rule reordering :premises (@p325) :args ((or @t116 @t251))) % 35.82/36.10 (step @p327 :rule chain_m_resolution :premises (@p326 @p324) :args (@t251 @t249 (@list @t116))) % 35.82/36.10 (step @p328 :rule cnf_or_pos :args (@t243)) % 35.82/36.10 (step @p329 :rule reordering :premises (@p328) :args ((or @t155 @t154 @t161 @t133 @t234 @t236 @t233 @t232 (not @t243)))) % 35.82/36.10 (step @p330 false :rule chain_m_resolution :premises (@p329 @p327 @p323 @p319 @p300 @p121 @p60 @p56 @p55 @p54) :args (false (@list true true true false false true false false false) (@list @t233 @t236 @t232 @t243 @t143 @t133 @t107 @t55 @t56))) % 35.82/36.10 ) % 35.82/36.10 % SZS output end Proof % 35.82/36.10 % cvc5 exiting %------------------------------------------------------------------------------