%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM510+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 : 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 08:39:40 AM UTC 2026 % Result : Theorem 16.19s 16.82s % Output : Proof 16.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM510+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 : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:25:44 EDT 2026 % 0.19/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.19/16.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.19/16.82 --- Run --no-e-matching --full-saturate-quant at 6... % 16.19/16.82 % SZS status Theorem % 16.19/16.82 % SZS output start Proof % 16.19/16.82 ( % 16.19/16.82 (declare-sort $$unsorted 0) % 16.19/16.82 (declare-const tptp.xr $$unsorted) % 16.19/16.82 (declare-const tptp.xk $$unsorted) % 16.19/16.82 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 16.19/16.82 (declare-const tptp.xm $$unsorted) % 16.19/16.82 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.19/16.82 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 16.19/16.82 (declare-const tptp.xn $$unsorted) % 16.19/16.82 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 16.19/16.82 (declare-const tptp.sz00 $$unsorted) % 16.19/16.82 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.19/16.82 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.19/16.82 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.19/16.82 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.19/16.82 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 16.19/16.82 (declare-const tptp.sz10 $$unsorted) % 16.19/16.82 (declare-const tptp.xp $$unsorted) % 16.19/16.82 (define @t1 () (@var "W0" $$unsorted)) % 16.19/16.82 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 16.19/16.82 (define @t3 () (@list @t1)) % 16.19/16.82 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 16.19/16.82 (define @t5 () (tptp.aNaturalNumber0 tptp.sz10)) % 16.19/16.82 (define @t6 () (@var "W1" $$unsorted)) % 16.19/16.82 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 16.19/16.82 (define @t8 () (tptp.aNaturalNumber0 @t6)) % 16.19/16.82 (define @t9 () (and @t2 @t8)) % 16.19/16.82 (define @t10 () (@list @t1 @t6)) % 16.19/16.82 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 16.19/16.82 (define @t12 () (tptp.sdtpldt0 @t6 @t1)) % 16.19/16.82 (define @t13 () (@var "W2" $$unsorted)) % 16.19/16.82 (define @t14 () (tptp.sdtpldt0 @t6 @t13)) % 16.19/16.82 (define @t15 () (tptp.sdtpldt0 @t7 @t13)) % 16.19/16.82 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 16.19/16.82 (define @t17 () (and @t2 @t8 @t16)) % 16.19/16.82 (define @t18 () (@list @t1 @t6 @t13)) % 16.19/16.82 (define @t19 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 16.19/16.82 (define @t20 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 16.19/16.82 (define @t21 () (and (= @t20 @t1) @t19)) % 16.19/16.82 (define @t22 () (=> @t2 @t21)) % 16.19/16.82 (define @t23 () (forall @t3 @t22)) % 16.19/16.82 (define @t24 () (tptp.sdtasdt0 @t6 @t1)) % 16.19/16.82 (define @t25 () (= @t11 @t24)) % 16.19/16.82 (define @t26 () (forall @t10 (=> @t9 @t25))) % 16.19/16.82 (define @t27 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 16.19/16.82 (define @t28 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 16.19/16.82 (define @t29 () (and (= @t28 @t1) @t27)) % 16.19/16.82 (define @t30 () (=> @t2 @t29)) % 16.19/16.82 (define @t31 () (forall @t3 @t30)) % 16.19/16.82 (define @t32 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 16.19/16.82 (define @t33 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 16.19/16.82 (define @t34 () (and (= @t33 tptp.sz00) @t32)) % 16.19/16.82 (define @t35 () (=> @t2 @t34)) % 16.19/16.82 (define @t36 () (forall @t3 @t35)) % 16.19/16.82 (define @t37 () (tptp.sdtasdt0 @t13 @t1)) % 16.19/16.82 (define @t38 () (tptp.sdtasdt0 @t1 @t13)) % 16.19/16.82 (define @t39 () (= @t6 @t13)) % 16.19/16.82 (define @t40 () (tptp.sdtpldt0 @t13 @t1)) % 16.19/16.82 (define @t41 () (tptp.sdtpldt0 @t1 @t13)) % 16.19/16.82 (define @t42 () (= @t24 @t37)) % 16.19/16.82 (define @t43 () (= @t11 @t38)) % 16.19/16.82 (define @t44 () (or @t43 @t42)) % 16.19/16.82 (define @t45 () (=> @t44 @t39)) % 16.19/16.82 (define @t46 () (and @t8 @t16)) % 16.19/16.82 (define @t47 () (@list @t6 @t13)) % 16.19/16.82 (define @t48 () (forall @t47 (=> @t46 @t45))) % 16.19/16.82 (define @t49 () (= @t1 tptp.sz00)) % 16.19/16.82 (define @t50 () (not @t49)) % 16.19/16.82 (define @t51 () (=> @t50 @t48)) % 16.19/16.82 (define @t52 () (=> @t2 @t51)) % 16.19/16.82 (define @t53 () (forall @t3 @t52)) % 16.19/16.82 (define @t54 () (= @t6 tptp.sz00)) % 16.19/16.82 (define @t55 () (or @t49 @t54)) % 16.19/16.82 (define @t56 () (=> (= @t11 tptp.sz00) @t55)) % 16.19/16.82 (define @t57 () (=> @t9 @t56)) % 16.19/16.82 (define @t58 () (forall @t10 @t57)) % 16.19/16.82 (define @t59 () (and @t16 (= @t41 @t6))) % 16.19/16.82 (define @t60 () (@list @t13)) % 16.19/16.82 (define @t61 () (tptp.sdtlseqdt0 @t1 @t6)) % 16.19/16.82 (define @t62 () (= @t1 @t6)) % 16.19/16.82 (define @t63 () (tptp.sdtlseqdt0 @t6 @t1)) % 16.19/16.82 (define @t64 () (tptp.sdtlseqdt0 @t6 @t13)) % 16.19/16.82 (define @t65 () (= @t6 @t1)) % 16.19/16.82 (define @t66 () (tptp.sdtpldt0 @t13 @t6)) % 16.19/16.82 (define @t67 () (and (not @t62) @t61)) % 16.19/16.82 (define @t68 () (not @t42)) % 16.19/16.82 (define @t69 () (not @t43)) % 16.19/16.82 (define @t70 () (= @t1 tptp.sz10)) % 16.19/16.82 (define @t71 () (tptp.sdtlseqdt0 @t6 @t24)) % 16.19/16.82 (define @t72 () (=> @t50 @t71)) % 16.19/16.82 (define @t73 () (forall @t10 (=> @t9 @t72))) % 16.19/16.82 (define @t74 () (tptp.iLess0 @t1 @t6)) % 16.19/16.82 (define @t75 () (and @t16 (= @t6 @t38))) % 16.19/16.82 (define @t76 () (tptp.doDivides0 @t1 @t6)) % 16.19/16.82 (define @t77 () (tptp.sdtsldt0 @t6 @t1)) % 16.19/16.82 (define @t78 () (= @t13 @t77)) % 16.19/16.82 (define @t79 () (forall @t60 (= @t78 @t75))) % 16.19/16.82 (define @t80 () (and @t50 @t76)) % 16.19/16.82 (define @t81 () (=> @t80 @t79)) % 16.19/16.82 (define @t82 () (=> @t9 @t81)) % 16.19/16.82 (define @t83 () (forall @t10 @t82)) % 16.19/16.82 (define @t84 () (tptp.doDivides0 @t1 @t13)) % 16.19/16.82 (define @t85 () (tptp.doDivides0 @t1 @t14)) % 16.19/16.82 (define @t86 () (tptp.doDivides0 @t6 @t1)) % 16.19/16.82 (define @t87 () (@list @t6)) % 16.19/16.82 (define @t88 () (not @t70)) % 16.19/16.82 (define @t89 () (tptp.aNaturalNumber0 tptp.xp)) % 16.19/16.82 (define @t90 () (tptp.aNaturalNumber0 tptp.xm)) % 16.19/16.82 (define @t91 () (tptp.aNaturalNumber0 tptp.xn)) % 16.19/16.82 (define @t92 () (@var "W3" $$unsorted)) % 16.19/16.82 (define @t93 () (tptp.sdtasdt0 @t13 @t92)) % 16.19/16.82 (define @t94 () (tptp.aNaturalNumber0 @t92)) % 16.19/16.82 (define @t95 () (@list @t92)) % 16.19/16.82 (define @t96 () (@var "W4" $$unsorted)) % 16.19/16.82 (define @t97 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 16.19/16.82 (define @t98 () (= tptp.xp tptp.sz00)) % 16.19/16.82 (define @t99 () (tptp.sdtpldt0 tptp.xp @t1)) % 16.19/16.82 (define @t100 () (tptp.sdtsldt0 @t97 tptp.xp)) % 16.19/16.82 (define @t101 () (tptp.sdtasdt0 tptp.xp tptp.xk)) % 16.19/16.82 (define @t102 () (= @t97 @t101)) % 16.19/16.82 (define @t103 () (tptp.aNaturalNumber0 tptp.xk)) % 16.19/16.82 (define @t104 () (= tptp.xk tptp.sz10)) % 16.19/16.82 (define @t105 () (= tptp.xk tptp.sz00)) % 16.19/16.82 (define @t106 () (or @t105 @t104)) % 16.19/16.82 (define @t107 () (not @t106)) % 16.19/16.82 (define @t108 () (= tptp.xr tptp.sz00)) % 16.19/16.82 (define @t109 () (tptp.sdtasdt0 tptp.xr @t1)) % 16.19/16.82 (define @t110 () (tptp.aNaturalNumber0 tptp.xr)) % 16.19/16.82 (define @t111 () (= @t97 @t109)) % 16.19/16.82 (define @t112 () (and @t2 @t111)) % 16.19/16.82 (define @t113 () (exists @t3 @t112)) % 16.19/16.82 (define @t114 () (tptp.doDivides0 tptp.xr tptp.xn)) % 16.19/16.82 (define @t115 () (= tptp.xn @t109)) % 16.19/16.82 (define @t116 () (and @t2 @t115)) % 16.19/16.82 (define @t117 () (exists @t3 @t116)) % 16.19/16.82 (define @t118 () (and @t117 @t114)) % 16.19/16.82 (define @t119 () (tptp.sdtsldt0 tptp.xn tptp.xr)) % 16.19/16.82 (define @t120 () (tptp.sdtlseqdt0 @t119 tptp.xn)) % 16.19/16.82 (define @t121 () (tptp.sdtpldt0 @t119 @t1)) % 16.19/16.82 (define @t122 () (and @t2 (= @t121 tptp.xn))) % 16.19/16.82 (define @t123 () (exists @t3 @t122)) % 16.19/16.82 (define @t124 () (or @t123 @t120)) % 16.19/16.82 (define @t125 () (tptp.sdtasdt0 tptp.xr @t119)) % 16.19/16.82 (define @t126 () (= tptp.xn @t125)) % 16.19/16.82 (define @t127 () (tptp.aNaturalNumber0 @t119)) % 16.19/16.82 (define @t128 () (and @t127 @t126)) % 16.19/16.82 (define @t129 () (=> @t128 @t124)) % 16.19/16.82 (define @t130 () (and @t127 @t126 (= @t119 tptp.xn))) % 16.19/16.82 (define @t131 () (not @t130)) % 16.19/16.82 (define @t132 () (and @t131 @t129)) % 16.19/16.82 (define @t133 () (not @t132)) % 16.19/16.82 (define @t134 () (forall @t3 (not @t116))) % 16.19/16.82 (define @t135 () (not @t134)) % 16.19/16.82 (define @t136 () (not @t2)) % 16.19/16.82 (define @t137 () (@quantifiers_skolemize (forall @t3 (or @t136 (not @t115))) 0)) % 16.19/16.82 (define @t138 () (tptp.sdtasdt0 tptp.xr @t137)) % 16.19/16.82 (define @t139 () (= tptp.xn @t138)) % 16.19/16.82 (define @t140 () (not @t139)) % 16.19/16.82 (define @t141 () (tptp.aNaturalNumber0 @t137)) % 16.19/16.82 (define @t142 () (not @t141)) % 16.19/16.82 (define @t143 () (or @t142 @t140)) % 16.19/16.82 (define @t144 () (@list true)) % 16.19/16.82 (define @t145 () (@list @t143)) % 16.19/16.82 (define @t146 () (@var "BOUND_VARIABLE_8161" $$unsorted)) % 16.19/16.82 (define @t147 () (and (tptp.aNaturalNumber0 @t146) (= @t6 (tptp.sdtasdt0 @t1 @t146)))) % 16.19/16.82 (define @t148 () (= @t147 (= @t146 @t77))) % 16.19/16.82 (define @t149 () (not @t76)) % 16.19/16.82 (define @t150 () (not @t8)) % 16.19/16.82 (define @t151 () (or @t136 @t150 @t49 @t149 @t148)) % 16.19/16.82 (define @t152 () (@list @t1 @t6 @t146)) % 16.19/16.82 (define @t153 () (forall @t152 @t151)) % 16.19/16.82 (define @t154 () (@list @t146)) % 16.19/16.82 (define @t155 () (forall @t154 @t151)) % 16.19/16.82 (define @t156 () (forall @t154 @t148)) % 16.19/16.82 (define @t157 () (or @t136 @t150 @t49 @t149 @t156)) % 16.19/16.82 (define @t158 () (forall @t60 (= @t75 @t78))) % 16.19/16.82 (define @t159 () (or @t136 @t150 @t49 @t149 @t158)) % 16.19/16.82 (define @t160 () (or @t49 @t149 @t158)) % 16.19/16.82 (define @t161 () (or @t136 @t150)) % 16.19/16.82 (define @t162 () (not @t50)) % 16.19/16.82 (define @t163 () (=> @t80 @t158)) % 16.19/16.82 (define @t164 () (not @t9)) % 16.19/16.82 (define @t165 () (= @t119 @t137)) % 16.19/16.82 (define @t166 () (and @t141 @t139)) % 16.19/16.82 (define @t167 () (= @t166 @t165)) % 16.19/16.82 (define @t168 () (not @t114)) % 16.19/16.82 (define @t169 () (not @t91)) % 16.19/16.82 (define @t170 () (not @t110)) % 16.19/16.82 (define @t171 () (or @t170 @t169 @t108 @t168 @t167)) % 16.19/16.82 (define @t172 () (forall @t152 (or @t136 @t150 @t49 @t149 (= @t147 (= @t77 @t146))))) % 16.19/16.82 (define @t173 () (= tptp.sz00 tptp.xr)) % 16.19/16.82 (define @t174 () (or @t170 @t169 @t173 @t168 @t167)) % 16.19/16.82 (define @t175 () (@list false)) % 16.19/16.82 (define @t176 () (@list false false)) % 16.19/16.82 (define @t177 () (or @t136 @t150 @t25)) % 16.19/16.82 (define @t178 () (tptp.sdtasdt0 tptp.xn tptp.xr)) % 16.19/16.82 (define @t179 () (tptp.sdtasdt0 tptp.xr tptp.xn)) % 16.19/16.82 (define @t180 () (or @t169 @t170 (= @t178 @t179))) % 16.19/16.82 (define @t181 () (forall @t10 @t177)) % 16.19/16.82 (define @t182 () (= @t179 @t178)) % 16.19/16.82 (define @t183 () (or @t169 @t170 @t182)) % 16.19/16.82 (define @t184 () (@list false false false)) % 16.19/16.82 (define @t185 () (and (= @t1 @t28) @t27)) % 16.19/16.82 (define @t186 () (tptp.sdtasdt0 tptp.sz10 tptp.xn)) % 16.19/16.82 (define @t187 () (tptp.sdtasdt0 tptp.xn tptp.sz10)) % 16.19/16.82 (define @t188 () (= tptp.xn @t187)) % 16.19/16.82 (define @t189 () (and @t188 (= tptp.xn @t186))) % 16.19/16.82 (define @t190 () (or @t169 @t189)) % 16.19/16.82 (define @t191 () (= tptp.xn @t119)) % 16.19/16.82 (define @t192 () (= @t178 @t187)) % 16.19/16.82 (define @t193 () (and @t191 @t139 @t165 @t182 @t188)) % 16.19/16.82 (define @t194 () (not @t192)) % 16.19/16.82 (define @t195 () (and @t194 (not (= @t179 @t186)))) % 16.19/16.82 (define @t196 () (@var "BOUND_VARIABLE_7964" $$unsorted)) % 16.19/16.82 (define @t197 () (@var "BOUND_VARIABLE_7962" $$unsorted)) % 16.19/16.82 (define @t198 () (= @t197 @t196)) % 16.19/16.82 (define @t199 () (and (not (= (tptp.sdtasdt0 @t1 @t197) (tptp.sdtasdt0 @t1 @t196))) (not (= (tptp.sdtasdt0 @t197 @t1) (tptp.sdtasdt0 @t196 @t1))))) % 16.19/16.82 (define @t200 () (not (tptp.aNaturalNumber0 @t196))) % 16.19/16.82 (define @t201 () (not (tptp.aNaturalNumber0 @t197))) % 16.19/16.82 (define @t202 () (or @t136 @t49 @t201 @t200 @t199 @t198)) % 16.19/16.82 (define @t203 () (or @t201 @t200 @t199 @t198)) % 16.19/16.82 (define @t204 () (or @t136 @t49 @t203)) % 16.19/16.82 (define @t205 () (@list @t1 @t197 @t196)) % 16.19/16.82 (define @t206 () (forall @t205 @t204)) % 16.19/16.82 (define @t207 () (@list @t197 @t196)) % 16.19/16.82 (define @t208 () (forall @t207 @t204)) % 16.19/16.82 (define @t209 () (forall @t207 @t203)) % 16.19/16.82 (define @t210 () (or @t136 @t49 @t209)) % 16.19/16.82 (define @t211 () (and @t69 @t68)) % 16.19/16.82 (define @t212 () (not @t16)) % 16.19/16.82 (define @t213 () (or @t150 @t212 @t211 @t39)) % 16.19/16.82 (define @t214 () (forall @t47 @t213)) % 16.19/16.82 (define @t215 () (or @t136 @t49 @t214)) % 16.19/16.82 (define @t216 () (=> @t50 @t214)) % 16.19/16.82 (define @t217 () (= tptp.sz10 tptp.xr)) % 16.19/16.82 (define @t218 () (not (= @t186 @t179))) % 16.19/16.82 (define @t219 () (not (= @t187 @t178))) % 16.19/16.82 (define @t220 () (and @t219 @t218)) % 16.19/16.82 (define @t221 () (not @t5)) % 16.19/16.82 (define @t222 () (or @t169 (= tptp.xn tptp.sz00) @t221 @t170 @t220 @t217)) % 16.19/16.82 (define @t223 () (forall @t205 @t202)) % 16.19/16.82 (define @t224 () (= tptp.sz00 tptp.xn)) % 16.19/16.82 (define @t225 () (or @t169 @t224 @t221 @t170 @t195 @t217)) % 16.19/16.82 (define @t226 () (forall @t3 (not @t112))) % 16.19/16.82 (define @t227 () (not @t226)) % 16.19/16.82 (define @t228 () (@quantifiers_skolemize (forall @t3 (or @t136 (not @t111))) 0)) % 16.19/16.82 (define @t229 () (= @t97 (tptp.sdtasdt0 tptp.xr @t228))) % 16.19/16.82 (define @t230 () (not @t229)) % 16.19/16.82 (define @t231 () (or (not (tptp.aNaturalNumber0 @t228)) @t230)) % 16.19/16.82 (define @t232 () (= tptp.sz00 @t6)) % 16.19/16.82 (define @t233 () (= tptp.sz00 @t11)) % 16.19/16.82 (define @t234 () (not @t233)) % 16.19/16.82 (define @t235 () (or @t136 @t150 @t234 @t49 @t232)) % 16.19/16.82 (define @t236 () (or @t234 @t49 @t232)) % 16.19/16.82 (define @t237 () (or @t49 @t232)) % 16.19/16.82 (define @t238 () (=> @t233 @t237)) % 16.19/16.82 (define @t239 () (= tptp.sz00 @t100)) % 16.19/16.82 (define @t240 () (tptp.sdtasdt0 tptp.xp @t100)) % 16.19/16.82 (define @t241 () (= tptp.sz00 @t240)) % 16.19/16.82 (define @t242 () (not @t241)) % 16.19/16.82 (define @t243 () (tptp.aNaturalNumber0 @t100)) % 16.19/16.82 (define @t244 () (not @t243)) % 16.19/16.82 (define @t245 () (not @t89)) % 16.19/16.82 (define @t246 () (or @t245 @t244 @t242 @t98 @t239)) % 16.19/16.82 (define @t247 () (forall @t10 @t235)) % 16.19/16.82 (define @t248 () (= tptp.sz00 tptp.xp)) % 16.19/16.82 (define @t249 () (or @t245 @t244 @t242 @t248 @t239)) % 16.19/16.82 (define @t250 () (= tptp.sz10 tptp.xk)) % 16.19/16.82 (define @t251 () (= tptp.sz00 tptp.xk)) % 16.19/16.82 (define @t252 () (or @t251 @t250)) % 16.19/16.82 (define @t253 () (and (= @t1 @t20) @t19)) % 16.19/16.82 (define @t254 () (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00))) % 16.19/16.82 (define @t255 () (and @t254 @t254)) % 16.19/16.82 (define @t256 () (not @t4)) % 16.19/16.82 (define @t257 () (or @t256 @t255)) % 16.19/16.82 (define @t258 () (forall @t3 (or @t136 @t253))) % 16.19/16.82 (define @t259 () (or @t256 @t254)) % 16.19/16.82 (define @t260 () (not @t188)) % 16.19/16.82 (define @t261 () (not @t254)) % 16.19/16.82 (define @t262 () (= @t97 @t178)) % 16.19/16.82 (define @t263 () (not @t262)) % 16.19/16.82 (define @t264 () (not @t182)) % 16.19/16.82 (define @t265 () (not @t165)) % 16.19/16.82 (define @t266 () (not @t224)) % 16.19/16.82 (define @t267 () (= @t97 @t240)) % 16.19/16.82 (define @t268 () (not @t267)) % 16.19/16.82 (define @t269 () (not @t191)) % 16.19/16.82 (define @t270 () (= false true)) % 16.19/16.82 (define @t271 () (and @t254 @t224 @t188 @t192 @t262 @t229 @t267 @t242)) % 16.19/16.82 (define @t272 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 16.19/16.82 (define @t273 () (= @t97 @t272)) % 16.19/16.82 (define @t274 () (not @t90)) % 16.19/16.82 (define @t275 () (or @t169 @t274 @t273)) % 16.19/16.82 (define @t276 () (and (= tptp.sz00 @t33) @t32)) % 16.19/16.82 (define @t277 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xm tptp.sz00))) % 16.19/16.82 (define @t278 () (and @t277 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm)))) % 16.19/16.82 (define @t279 () (or @t274 @t278)) % 16.19/16.82 (define @t280 () (and @t191 @t139 @t224 @t165 @t182 @t273 @t277)) % 16.19/16.82 (define @t281 () (and @t127 @t126 @t191)) % 16.19/16.82 (define @t282 () (not @t281)) % 16.19/16.82 (define @t283 () (= tptp.xn @t121)) % 16.19/16.82 (define @t284 () (or (not (forall @t3 (or @t136 (not @t283)))) @t120)) % 16.19/16.82 (define @t285 () (=> @t128 @t284)) % 16.19/16.82 (define @t286 () (not @t285)) % 16.19/16.82 (define @t287 () (and @t2 @t283)) % 16.19/16.82 (define @t288 () (forall @t3 (not @t287))) % 16.19/16.82 (define @t289 () (not @t288)) % 16.19/16.82 (define @t290 () (not @t120)) % 16.19/16.82 (define @t291 () (@list tptp.xr @t119)) % 16.19/16.82 (define @t292 () (tptp.sdtasdt0 @t119 tptp.xr)) % 16.19/16.82 (define @t293 () (= @t125 @t292)) % 16.19/16.82 (define @t294 () (not @t127)) % 16.19/16.82 (define @t295 () (or @t170 @t294 @t293)) % 16.19/16.82 (define @t296 () (or @t136 @t150 @t49 @t71)) % 16.19/16.82 (define @t297 () (tptp.sdtlseqdt0 @t119 @t292)) % 16.19/16.82 (define @t298 () (or @t170 @t294 @t108 @t297)) % 16.19/16.82 (define @t299 () (forall @t10 @t296)) % 16.19/16.82 (define @t300 () (or @t170 @t294 @t173 @t297)) % 16.19/16.82 (define @t301 () (not @t297)) % 16.19/16.82 (define @t302 () (not @t293)) % 16.19/16.82 (define @t303 () (and @t297 @t293 @t165 @t139 @t290)) % 16.19/16.82 (assume @p1 (forall @t3 (=> @t2 true))) % 16.19/16.82 (assume @p2 @t4) % 16.19/16.82 (assume @p3 (and @t5 (not (= tptp.sz10 tptp.sz00)))) % 16.19/16.82 (assume @p4 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t7)))) % 16.19/16.82 (assume @p5 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t11)))) % 16.19/16.82 (assume @p6 (forall @t10 (=> @t9 (= @t7 @t12)))) % 16.19/16.82 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 16.19/16.82 (assume @p8 @t23) % 16.19/16.82 (assume @p9 @t26) % 16.19/16.82 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t11 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t13)))))) % 16.19/16.82 (assume @p11 @t31) % 16.19/16.82 (assume @p12 @t36) % 16.19/16.82 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t11 @t38)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t24 @t37)))))) % 16.19/16.82 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t7 @t41) (= @t12 @t40)) @t39)))) % 16.19/16.82 (assume @p15 @t53) % 16.19/16.82 (assume @p16 (forall @t10 (=> @t9 (=> (= @t7 tptp.sz00) (and @t49 @t54))))) % 16.19/16.82 (assume @p17 @t58) % 16.19/16.82 (assume @p18 (forall @t10 (=> @t9 (= @t61 (exists @t60 @t59))))) % 16.19/16.82 (assume @p19 (forall @t10 (=> @t9 (=> @t61 (forall @t60 (= (= @t13 (tptp.sdtmndt0 @t6 @t1)) @t59)))))) % 16.19/16.82 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 16.19/16.82 (assume @p21 (forall @t10 (=> @t9 (=> (and @t61 @t63) @t62)))) % 16.19/16.82 (assume @p22 (forall @t18 (=> @t17 (=> (and @t61 @t64) (tptp.sdtlseqdt0 @t1 @t13))))) % 16.19/16.82 (assume @p23 (forall @t10 (=> @t9 (or @t61 (and (not @t65) @t63))))) % 16.19/16.82 (assume @p24 (forall @t10 (=> @t9 (=> @t67 (forall @t60 (=> @t16 (and (not (= @t40 @t66)) (tptp.sdtlseqdt0 @t40 @t66) (not (= @t41 @t14)) (tptp.sdtlseqdt0 @t41 @t14)))))))) % 16.19/16.82 (assume @p25 (forall @t18 (=> @t17 (=> (and @t50 (not @t39) @t64) (and @t69 (tptp.sdtlseqdt0 @t11 @t38) @t68 (tptp.sdtlseqdt0 @t24 @t37)))))) % 16.19/16.82 (assume @p26 (forall @t3 (=> @t2 (or @t49 @t70 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 16.19/16.82 (assume @p27 @t73) % 16.19/16.82 (assume @p28 (forall @t10 (=> @t9 (=> @t74 true)))) % 16.19/16.82 (assume @p29 (forall @t10 (=> @t9 (=> @t67 @t74)))) % 16.19/16.82 (assume @p30 (forall @t10 (=> @t9 (= @t76 (exists @t60 @t75))))) % 16.19/16.82 (assume @p31 @t83) % 16.19/16.82 (assume @p32 (forall @t18 (=> @t17 (=> (and @t76 (tptp.doDivides0 @t6 @t13)) @t84)))) % 16.19/16.82 (assume @p33 (forall @t18 (=> @t17 (=> (and @t76 @t84) @t85)))) % 16.19/16.82 (assume @p34 (forall @t18 (=> @t17 (=> (and @t76 @t85) @t84)))) % 16.19/16.82 (assume @p35 (forall @t10 (=> @t9 (=> (and @t76 (not @t54)) @t61)))) % 16.19/16.82 (assume @p36 (forall @t10 (=> @t9 (=> @t80 (forall @t60 (=> @t16 (= (tptp.sdtasdt0 @t13 @t77) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t6) @t1)))))))) % 16.19/16.82 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t50 @t88 (forall @t87 (=> (and @t8 @t86) (or (= @t6 tptp.sz10) @t65)))))))) % 16.19/16.82 (assume @p38 (forall @t3 (=> (and @t2 @t50 @t88) (exists @t87 (and @t8 @t86 (tptp.isPrime0 @t6)))))) % 16.19/16.82 (assume @p39 (and @t91 @t90 @t89)) % 16.19/16.82 (assume @p40 (forall @t18 (=> @t17 (=> (and (or (and (not (= @t13 tptp.sz00)) (not (= @t13 tptp.sz10)) (forall @t95 (=> (and @t94 (exists (@list @t96) (and (tptp.aNaturalNumber0 @t96) (= @t13 (tptp.sdtasdt0 @t92 @t96)))) (tptp.doDivides0 @t92 @t13)) (or (= @t92 tptp.sz10) (= @t92 @t13))))) (tptp.isPrime0 @t13)) (or (exists @t95 (and @t94 (= @t11 @t93))) (tptp.doDivides0 @t13 @t11))) (=> (tptp.iLess0 @t15 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (and (exists @t95 (and @t94 (= @t1 @t93))) (tptp.doDivides0 @t13 @t1)) (and (exists @t95 (and @t94 (= @t6 @t93))) (tptp.doDivides0 @t13 @t6)))))))) % 16.19/16.82 (assume @p41 (and (not @t98) (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t87 (and @t8 (= tptp.xp @t11))) (tptp.doDivides0 @t1 tptp.xp))) (or @t70 (= @t1 tptp.xp)))) (tptp.isPrime0 tptp.xp) (exists @t3 (and @t2 (= @t97 (tptp.sdtasdt0 tptp.xp @t1)))) (tptp.doDivides0 tptp.xp @t97))) % 16.19/16.82 (assume @p42 (not (or (exists @t3 (and @t2 (= @t99 tptp.xn))) (tptp.sdtlseqdt0 tptp.xp tptp.xn)))) % 16.19/16.82 (assume @p43 (not (or (exists @t3 (and @t2 (= @t99 tptp.xm))) (tptp.sdtlseqdt0 tptp.xp tptp.xm)))) % 16.19/16.82 (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))) % 16.19/16.82 (assume @p45 (and @t103 @t102 (= tptp.xk @t100))) % 16.19/16.82 (assume @p46 @t107) % 16.19/16.82 (assume @p47 (and (not @t105) (not @t104))) % 16.19/16.82 (assume @p48 (and @t110 (exists @t3 (and @t2 (= tptp.xk @t109))) (tptp.doDivides0 tptp.xr tptp.xk) (not @t108) (not (= tptp.xr tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t87 (and @t8 (= tptp.xr @t11))) (tptp.doDivides0 @t1 tptp.xr))) (or @t70 (= @t1 tptp.xr)))) (tptp.isPrime0 tptp.xr))) % 16.19/16.82 (assume @p49 (and (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xr @t1) tptp.xk))) @t113 (tptp.doDivides0 tptp.xr @t97))) % 16.19/16.82 (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))) % 16.19/16.82 (assume @p51 (or @t118 (and (exists @t3 (and @t2 (= tptp.xm @t109))) (tptp.doDivides0 tptp.xr tptp.xm)))) % 16.19/16.82 (assume @p52 @t118) % 16.19/16.82 (assume @p53 @t133) % 16.19/16.82 (assume @p54 true) % 16.19/16.82 (step @p55 :rule bool-and-de-morgan :args (@t2 @t115 true)) % 16.19/16.82 (step @p56 :rule cong :premises (@p55) :args (@t134)) % 16.19/16.82 (step @p57 :rule cong :premises (@p56) :args (@t135)) % 16.19/16.82 (step @p58 :rule exists-elim :args ((= @t117 @t135))) % 16.19/16.82 (step @p59 :rule trans :premises (@p58 @p57)) % 16.19/16.82 (step @p60 :rule and_elim :premises (@p52) :args (0)) % 16.19/16.82 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 16.19/16.82 (step @p62 :rule skolemize :premises (@p61)) % 16.19/16.82 (step @p63 :rule bool-double-not-elim :args (@t139)) % 16.19/16.82 (step @p64 :rule refl :args (@t143)) % 16.19/16.82 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t143 (not @t140)))) % 16.19/16.82 (step @p66 :rule cnf_or_neg :args (@t143 1)) % 16.19/16.82 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 16.19/16.82 (step @p68 :rule reordering :premises (@p67) :args ((or @t139 @t143))) % 16.19/16.82 (step @p69 :rule chain_m_resolution :premises (@p68 @p62) :args (@t139 @t144 @t145)) % 16.19/16.82 (step @p70 :rule eq-symm :args (@t146 @t77)) % 16.19/16.82 (step @p71 :rule refl :args (@t147)) % 16.19/16.82 (step @p72 :rule cong :premises (@p71 @p70) :args (@t148)) % 16.19/16.82 (step @p73 :rule refl :args (@t149)) % 16.19/16.82 (step @p74 :rule refl :args (@t49)) % 16.19/16.82 (step @p75 :rule refl :args (@t150)) % 16.19/16.82 (step @p76 :rule refl :args (@t136)) % 16.19/16.82 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74 @p73 @p72) :args (@t151)) % 16.19/16.82 (step @p78 :rule cong :premises (@p77) :args (@t153)) % 16.19/16.82 (step @p79 :rule quant-merge-prenex :args ((= (forall @t10 @t155) @t153))) % 16.19/16.82 (step @p80 :rule alpha_equiv :args (@t156 (@list @t146) (@list @t13))) % 16.19/16.82 (step @p81 :rule refl :args (@t149)) % 16.19/16.82 (step @p82 :rule refl :args (@t49)) % 16.19/16.82 (step @p83 :rule refl :args (@t150)) % 16.19/16.82 (step @p84 :rule refl :args (@t136)) % 16.19/16.82 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81 @p80) :args (@t157)) % 16.19/16.82 (step @p86 :rule quant-miniscope-or :args ((= @t155 @t157))) % 16.19/16.82 (step @p87 :rule trans :premises (@p86 @p85)) % 16.19/16.82 (step @p88 :rule symm :premises (@p87)) % 16.19/16.82 (step @p89 :rule cong :premises (@p88) :args ((forall @t10 @t159))) % 16.19/16.82 (step @p90 :rule trans :premises (@p89 @p79)) % 16.19/16.82 (step @p91 :rule trans :premises (@p90 @p78)) % 16.19/16.82 (step @p92 :rule aci_norm :args ((= (or @t161 @t160) @t159))) % 16.19/16.82 (step @p93 :rule aci_norm :args ((= (or (or @t49 @t149) @t158) @t160))) % 16.19/16.82 (step @p94 :rule refl :args (@t158)) % 16.19/16.82 (step @p95 :rule bool-double-not-elim :args (@t49)) % 16.19/16.82 (step @p96 :rule nary_cong :premises (@p95 @p81) :args ((or @t162 @t149))) % 16.19/16.82 (step @p97 :rule bool-and-de-morgan :args (@t50 @t76 true)) % 16.19/16.82 (step @p98 :rule trans :premises (@p97 @p96)) % 16.19/16.82 (step @p99 :rule nary_cong :premises (@p98 @p94) :args ((or (not @t80) @t158))) % 16.19/16.82 (step @p100 :rule trans :premises (@p99 @p93)) % 16.19/16.82 (step @p101 :rule bool-impl-elim :args (@t80 @t158)) % 16.19/16.82 (step @p102 :rule trans :premises (@p101 @p100)) % 16.19/16.82 (step @p103 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 16.19/16.82 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t164 @t163))) % 16.19/16.82 (step @p105 :rule trans :premises (@p104 @p92)) % 16.19/16.82 (step @p106 :rule bool-impl-elim :args (@t9 @t163)) % 16.19/16.82 (step @p107 :rule trans :premises (@p106 @p105)) % 16.19/16.82 (step @p108 :rule cong :premises (@p107) :args ((forall @t10 (=> @t9 @t163)))) % 16.19/16.82 (step @p109 :rule trans :premises (@p108 @p91)) % 16.19/16.82 (step @p110 :rule eq-symm :args (@t78 @t75)) % 16.19/16.82 (step @p111 :rule cong :premises (@p110) :args (@t79)) % 16.19/16.82 (step @p112 :rule refl :args (@t80)) % 16.19/16.82 (step @p113 :rule cong :premises (@p112 @p111) :args (@t81)) % 16.19/16.82 (step @p114 :rule refl :args (@t9)) % 16.19/16.82 (step @p115 :rule cong :premises (@p114 @p113) :args (@t82)) % 16.19/16.82 (step @p116 :rule cong :premises (@p115) :args (@t83)) % 16.19/16.82 (step @p117 :rule trans :premises (@p116 @p109)) % 16.19/16.82 (step @p118 :rule eq_resolve :premises (@p31 @p117)) % 16.19/16.82 (step @p119 :rule refl :args (@t167)) % 16.19/16.82 (step @p120 :rule refl :args (@t168)) % 16.19/16.82 (step @p121 :rule eq-symm :args (tptp.xr tptp.sz00)) % 16.19/16.82 (step @p122 :rule refl :args (@t169)) % 16.19/16.82 (step @p123 :rule refl :args (@t170)) % 16.19/16.82 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p120 @p119) :args (@t171)) % 16.19/16.82 (step @p125 :rule refl :args (@t172)) % 16.19/16.82 (step @p126 :rule cong :premises (@p125 @p124) :args ((=> @t172 @t171))) % 16.19/16.82 (assume-push @p651 @t172) % 16.19/16.82 (step @p128 :rule instantiate :premises (@p118) :args ((@list tptp.xr tptp.xn @t137))) % 16.19/16.82 (step-pop @p652 :rule scope :premises (@p128)) % 16.19/16.82 (step @p129 :rule process_scope :premises (@p652) :args (@t171)) % 16.19/16.82 (step @p131 :rule eq_resolve :premises (@p129 @p126)) % 16.19/16.82 (step @p132 :rule implies_elim :premises (@p131)) % 16.19/16.82 (step @p133 :rule chain_m_resolution :premises (@p132 @p118) :args (@t174 @t175 (@list @t172))) % 16.19/16.82 (step @p134 :rule and_elim :premises (@p52) :args (1)) % 16.19/16.82 (step @p135 :rule and_elim :premises (@p48) :args (0)) % 16.19/16.82 (step @p136 :rule and_elim :premises (@p39) :args (0)) % 16.19/16.82 (step @p137 :rule and_elim :premises (@p48) :args (3)) % 16.19/16.82 (step @p138 :rule symm :premises (@p137)) % 16.19/16.82 (step @p139 :rule cnf_or_pos :args (@t174)) % 16.19/16.82 (step @p140 :rule reordering :premises (@p139) :args ((or @t173 @t169 @t170 @t168 @t167 (not @t174)))) % 16.19/16.82 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p136 @p135 @p134 @p133) :args (@t167 (@list true false false false false) (@list @t173 @t91 @t110 @t114 @t174))) % 16.19/16.82 (step @p142 :rule bool-double-not-elim :args (@t141)) % 16.19/16.82 (step @p143 :rule nary_cong :premises (@p64 @p142) :args ((or @t143 (not @t142)))) % 16.19/16.82 (step @p144 :rule cnf_or_neg :args (@t143 0)) % 16.19/16.82 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 16.19/16.82 (step @p146 :rule reordering :premises (@p145) :args ((or @t141 @t143))) % 16.19/16.82 (step @p147 :rule chain_m_resolution :premises (@p146 @p62) :args (@t141 @t144 @t145)) % 16.19/16.82 (step @p148 :rule cnf_and_neg :args (@t166)) % 16.19/16.82 (step @p149 :rule reordering :premises (@p148) :args ((or @t142 @t140 @t166))) % 16.19/16.82 (step 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@t285))) % 16.19/16.82 (step @p575 :rule cnf_or_neg :args (@t284 1)) % 16.19/16.82 (step @p576 :rule chain_m_resolution :premises (@p575 @p574) :args (@t290 @t144 (@list @t284))) % 16.19/16.82 (step @p577 :rule instantiate :premises (@p161) :args (@t291)) % 16.19/16.82 (step @p578 :rule true_intro :premises (@p147)) % 16.19/16.82 (step @p579 :rule cong :premises (@p153) :args (@t127)) % 16.19/16.82 (step @p580 :rule trans :premises (@p579 @p578)) % 16.19/16.82 (step @p581 :rule true_elim :premises (@p580)) % 16.19/16.82 (step @p582 :rule cnf_or_pos :args (@t295)) % 16.19/16.82 (step @p583 :rule reordering :premises (@p582) :args ((or @t170 @t294 @t293 (not @t295)))) % 16.19/16.82 (step @p584 :rule chain_m_resolution :premises (@p583 @p135 @p581 @p577) :args (@t293 @t184 (@list @t110 @t127 @t295))) % 16.19/16.82 (step @p585 :rule aci_norm :args ((= (or @t161 (or @t49 @t71)) @t296))) % 16.19/16.82 (step @p586 :rule refl :args (@t71)) % 16.19/16.82 (step @p587 :rule nary_cong :premises (@p95 @p586) :args ((or @t162 @t71))) % 16.19/16.82 (step @p588 :rule bool-impl-elim :args (@t50 @t71)) % 16.19/16.82 (step @p589 :rule trans :premises (@p588 @p587)) % 16.19/16.82 (step @p590 :rule nary_cong :premises (@p103 @p589) :args ((or @t164 @t72))) % 16.19/16.82 (step @p591 :rule trans :premises (@p590 @p585)) % 16.19/16.82 (step @p592 :rule bool-impl-elim :args (@t9 @t72)) % 16.19/16.82 (step @p593 :rule trans :premises (@p592 @p591)) % 16.19/16.82 (step @p594 :rule cong :premises (@p593) :args (@t73)) % 16.19/16.82 (step @p595 :rule eq_resolve :premises (@p27 @p594)) % 16.19/16.82 (step @p596 :rule refl :args (@t297)) % 16.19/16.82 (step @p597 :rule refl :args (@t294)) % 16.19/16.82 (step @p598 :rule nary_cong :premises (@p123 @p597 @p121 @p596) :args (@t298)) % 16.19/16.82 (step @p599 :rule refl :args (@t299)) % 16.19/16.82 (step @p600 :rule cong :premises (@p599 @p598) :args ((=> @t299 @t298))) % 16.19/16.82 (assume-push @p757 @t299) % 16.19/16.82 (step @p602 :rule instantiate :premises (@p595) :args (@t291)) % 16.19/16.82 (step-pop @p758 :rule scope :premises (@p602)) % 16.19/16.82 (step @p603 :rule process_scope :premises (@p758) :args (@t298)) % 16.19/16.82 (step @p605 :rule eq_resolve :premises (@p603 @p600)) % 16.19/16.82 (step @p606 :rule implies_elim :premises (@p605)) % 16.19/16.82 (step @p607 :rule chain_m_resolution :premises (@p606 @p595) :args (@t300 @t175 (@list @t299))) % 16.19/16.82 (step @p608 :rule cnf_or_pos :args (@t300)) % 16.19/16.82 (step @p609 :rule reordering :premises (@p608) :args ((or @t173 @t170 @t294 @t297 (not @t300)))) % 16.19/16.82 (step @p610 :rule chain_m_resolution :premises (@p609 @p138 @p135 @p581 @p607) :args (@t297 (@list true false false false) (@list @t173 @t110 @t127 @t300))) % 16.19/16.82 (step @p611 :rule refl :args (@t301)) % 16.19/16.82 (step @p612 :rule refl :args (@t302)) % 16.19/16.82 (step @p613 :rule bool-double-not-elim :args (@t120)) % 16.19/16.82 (step @p614 :rule nary_cong :premises (@p613 @p398 @p395 @p612 @p611) :args ((or (not @t290) @t140 @t265 @t302 @t301))) % 16.19/16.82 (assume-push @p759 @t297) % 16.19/16.82 (assume-push @p760 @t293) % 16.19/16.82 (assume-push @p761 @t165) % 16.19/16.82 (assume-push @p762 @t139) % 16.19/16.82 (assume-push @p763 @t290) % 16.19/16.82 (step @p411 :rule evaluate :args (@t270)) % 16.19/16.82 (step @p620 :rule true_intro :premises (@p610)) % 16.19/16.82 (step @p513 :rule symm :premises (@p153)) % 16.19/16.82 (step @p204 :rule refl :args (tptp.xr)) % 16.19/16.82 (step @p514 :rule cong :premises (@p204 @p513) :args (@t138)) % 16.19/16.82 (step @p621 :rule trans :premises (@p69 @p514 @p584)) % 16.19/16.82 (step @p622 :rule refl :args (@t119)) % 16.19/16.82 (step @p623 :rule cong :premises (@p622 @p621) :args (@t120)) % 16.19/16.82 (step @p624 :rule false_intro :premises (@p763)) % 16.19/16.82 (step @p625 :rule symm :premises (@p624)) % 16.19/16.82 (step @p626 :rule trans :premises (@p625 @p623 @p620)) % 16.19/16.82 (step @p627 false :rule eq_resolve :premises (@p626 @p411)) % 16.19/16.82 (step-pop @p764 :rule scope :premises (@p627)) % 16.19/16.82 (step-pop @p765 :rule scope :premises (@p764)) % 16.19/16.82 (step-pop @p766 :rule scope :premises (@p765)) % 16.19/16.82 (step-pop @p767 :rule scope :premises (@p766)) % 16.19/16.82 (step-pop @p768 :rule scope :premises (@p767)) % 16.19/16.82 (step @p628 :rule process_scope :premises (@p768) :args (false)) % 16.19/16.82 (assume-push @p769 @t290) % 16.19/16.82 (assume-push @p770 @t139) % 16.19/16.82 (assume-push @p771 @t165) % 16.19/16.82 (assume-push @p772 @t293) % 16.19/16.82 (assume-push @p773 @t297) % 16.19/16.82 (step @p639 :rule and_intro :premises (@p610 @p584 @p153 @p69 @p769)) % 16.19/16.82 (step-pop @p774 :rule scope :premises (@p639)) % 16.19/16.82 (step-pop @p775 :rule scope :premises (@p774)) % 16.19/16.82 (step-pop @p776 :rule scope :premises (@p775)) % 16.19/16.82 (step-pop @p777 :rule scope :premises (@p776)) % 16.19/16.82 (step-pop @p778 :rule scope :premises (@p777)) % 16.19/16.82 (step @p640 :rule process_scope :premises (@p778) :args (@t303)) % 16.19/16.82 (step @p646 :rule implies_elim :premises (@p640)) % 16.19/16.82 (step @p647 :rule resolution :premises (@p646 @p628) :args (true @t303)) % 16.19/16.82 (step @p648 :rule not_and :premises (@p647)) % 16.19/16.82 (step @p649 :rule eq_resolve :premises (@p648 @p614)) % 16.19/16.82 (step @p650 false :rule chain_m_resolution :premises (@p649 @p610 @p584 @p576 @p153 @p69) :args (false (@list false false true false false) (@list @t297 @t293 @t120 @t165 @t139))) % 16.19/16.82 ) % 16.19/16.82 % SZS output end Proof % 16.19/16.82 % cvc5 exiting %------------------------------------------------------------------------------