%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM512+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 : n007.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 19.43s 19.60s % Output : Proof 19.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM512+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:25:11 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 19.43/19.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.43/19.60 --- Run --no-e-matching --full-saturate-quant at 6... % 19.43/19.60 % SZS status Theorem % 19.43/19.60 % SZS output start Proof % 19.43/19.60 ( % 19.43/19.60 (declare-sort $$unsorted 0) % 19.43/19.60 (declare-const tptp.xr $$unsorted) % 19.43/19.60 (declare-const tptp.xk $$unsorted) % 19.43/19.60 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 19.43/19.60 (declare-const tptp.xm $$unsorted) % 19.43/19.60 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.43/19.60 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 19.43/19.60 (declare-const tptp.xn $$unsorted) % 19.43/19.60 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 19.43/19.60 (declare-const tptp.sz00 $$unsorted) % 19.43/19.60 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.43/19.60 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.43/19.60 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.43/19.60 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 19.43/19.60 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 19.43/19.60 (declare-const tptp.sz10 $$unsorted) % 19.43/19.60 (declare-const tptp.xp $$unsorted) % 19.43/19.60 (define @t1 () (@var "W0" $$unsorted)) % 19.43/19.60 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 19.43/19.60 (define @t3 () (@list @t1)) % 19.43/19.60 (define @t4 () (@var "W1" $$unsorted)) % 19.43/19.60 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 19.43/19.60 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 19.43/19.60 (define @t7 () (and @t2 @t6)) % 19.43/19.60 (define @t8 () (@list @t1 @t4)) % 19.43/19.60 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 19.43/19.60 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 19.43/19.60 (define @t11 () (forall @t8 (=> @t7 @t10))) % 19.43/19.60 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 19.43/19.60 (define @t13 () (@var "W2" $$unsorted)) % 19.43/19.60 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 19.43/19.60 (define @t15 () (tptp.sdtpldt0 @t5 @t13)) % 19.43/19.60 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 19.43/19.60 (define @t17 () (and @t2 @t6 @t16)) % 19.43/19.60 (define @t18 () (@list @t1 @t4 @t13)) % 19.43/19.60 (define @t19 () (tptp.sdtasdt0 @t4 @t1)) % 19.43/19.60 (define @t20 () (= @t9 @t19)) % 19.43/19.60 (define @t21 () (forall @t8 (=> @t7 @t20))) % 19.43/19.60 (define @t22 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 19.43/19.60 (define @t23 () (forall @t18 (=> @t17 @t22))) % 19.43/19.60 (define @t24 () (tptp.sdtasdt0 @t13 @t1)) % 19.43/19.60 (define @t25 () (tptp.sdtasdt0 @t1 @t13)) % 19.43/19.60 (define @t26 () (= @t4 @t13)) % 19.43/19.60 (define @t27 () (tptp.sdtpldt0 @t13 @t1)) % 19.43/19.60 (define @t28 () (tptp.sdtpldt0 @t1 @t13)) % 19.43/19.60 (define @t29 () (= @t19 @t24)) % 19.43/19.60 (define @t30 () (= @t9 @t25)) % 19.43/19.60 (define @t31 () (and @t6 @t16)) % 19.43/19.60 (define @t32 () (= @t1 tptp.sz00)) % 19.43/19.60 (define @t33 () (not @t32)) % 19.43/19.60 (define @t34 () (= @t4 tptp.sz00)) % 19.43/19.60 (define @t35 () (and @t16 (= @t28 @t4))) % 19.43/19.60 (define @t36 () (@list @t13)) % 19.43/19.60 (define @t37 () (tptp.sdtlseqdt0 @t1 @t4)) % 19.43/19.60 (define @t38 () (= @t1 @t4)) % 19.43/19.60 (define @t39 () (tptp.sdtlseqdt0 @t4 @t1)) % 19.43/19.60 (define @t40 () (tptp.sdtlseqdt0 @t4 @t13)) % 19.43/19.60 (define @t41 () (= @t4 @t1)) % 19.43/19.60 (define @t42 () (tptp.sdtpldt0 @t13 @t4)) % 19.43/19.60 (define @t43 () (and (not @t38) @t37)) % 19.43/19.60 (define @t44 () (= @t1 tptp.sz10)) % 19.43/19.60 (define @t45 () (tptp.iLess0 @t1 @t4)) % 19.43/19.60 (define @t46 () (and @t16 (= @t4 @t25))) % 19.43/19.60 (define @t47 () (tptp.doDivides0 @t1 @t4)) % 19.43/19.60 (define @t48 () (tptp.sdtsldt0 @t4 @t1)) % 19.43/19.60 (define @t49 () (= @t13 @t48)) % 19.43/19.60 (define @t50 () (forall @t36 (= @t49 @t46))) % 19.43/19.60 (define @t51 () (and @t33 @t47)) % 19.43/19.60 (define @t52 () (=> @t51 @t50)) % 19.43/19.60 (define @t53 () (=> @t7 @t52)) % 19.43/19.60 (define @t54 () (forall @t8 @t53)) % 19.43/19.60 (define @t55 () (tptp.doDivides0 @t1 @t13)) % 19.43/19.60 (define @t56 () (tptp.doDivides0 @t1 @t14)) % 19.43/19.60 (define @t57 () (or (= @t4 tptp.sz10) @t41)) % 19.43/19.60 (define @t58 () (tptp.doDivides0 @t4 @t1)) % 19.43/19.60 (define @t59 () (and @t6 @t58)) % 19.43/19.60 (define @t60 () (=> @t59 @t57)) % 19.43/19.60 (define @t61 () (@list @t4)) % 19.43/19.60 (define @t62 () (forall @t61 @t60)) % 19.43/19.60 (define @t63 () (not @t44)) % 19.43/19.60 (define @t64 () (and @t33 @t63 @t62)) % 19.43/19.60 (define @t65 () (tptp.isPrime0 @t1)) % 19.43/19.60 (define @t66 () (= @t65 @t64)) % 19.43/19.60 (define @t67 () (=> @t2 @t66)) % 19.43/19.60 (define @t68 () (forall @t3 @t67)) % 19.43/19.60 (define @t69 () (tptp.aNaturalNumber0 tptp.xp)) % 19.43/19.60 (define @t70 () (tptp.aNaturalNumber0 tptp.xm)) % 19.43/19.60 (define @t71 () (tptp.aNaturalNumber0 tptp.xn)) % 19.43/19.60 (define @t72 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 19.43/19.60 (define @t73 () (tptp.doDivides0 tptp.xp @t72)) % 19.43/19.60 (define @t74 () (tptp.isPrime0 tptp.xp)) % 19.43/19.60 (define @t75 () (tptp.sdtsldt0 @t72 tptp.xp)) % 19.43/19.60 (define @t76 () (= tptp.xk tptp.sz10)) % 19.43/19.60 (define @t77 () (= tptp.xk tptp.sz00)) % 19.43/19.60 (define @t78 () (tptp.isPrime0 tptp.xr)) % 19.43/19.60 (define @t79 () (tptp.aNaturalNumber0 tptp.xr)) % 19.43/19.60 (define @t80 () (tptp.doDivides0 tptp.xr @t72)) % 19.43/19.60 (define @t81 () (tptp.doDivides0 tptp.xr tptp.xn)) % 19.43/19.60 (define @t82 () (tptp.sdtsldt0 tptp.xn tptp.xr)) % 19.43/19.60 (define @t83 () (tptp.sdtasdt0 tptp.xp tptp.xk)) % 19.43/19.60 (define @t84 () (tptp.sdtsldt0 @t83 tptp.xr)) % 19.43/19.60 (define @t85 () (tptp.sdtasdt0 @t84 tptp.xr)) % 19.43/19.60 (define @t86 () (= @t72 @t85)) % 19.43/19.60 (define @t87 () (tptp.sdtasdt0 @t82 tptp.xm)) % 19.43/19.60 (define @t88 () (tptp.sdtasdt0 @t87 tptp.xr)) % 19.43/19.60 (define @t89 () (and (= @t88 @t72) @t86)) % 19.43/19.60 (define @t90 () (not @t89)) % 19.43/19.60 (define @t91 () (@var "BOUND_VARIABLE_8036" $$unsorted)) % 19.43/19.60 (define @t92 () (and (tptp.aNaturalNumber0 @t91) (= @t4 (tptp.sdtasdt0 @t1 @t91)))) % 19.43/19.60 (define @t93 () (= @t92 (= @t91 @t48))) % 19.43/19.60 (define @t94 () (not @t47)) % 19.43/19.60 (define @t95 () (not @t6)) % 19.43/19.60 (define @t96 () (not @t2)) % 19.43/19.60 (define @t97 () (or @t96 @t95 @t32 @t94 @t93)) % 19.43/19.60 (define @t98 () (@list @t1 @t4 @t91)) % 19.43/19.60 (define @t99 () (forall @t98 @t97)) % 19.43/19.60 (define @t100 () (@list @t91)) % 19.43/19.60 (define @t101 () (forall @t100 @t97)) % 19.43/19.60 (define @t102 () (forall @t100 @t93)) % 19.43/19.60 (define @t103 () (or @t96 @t95 @t32 @t94 @t102)) % 19.43/19.60 (define @t104 () (forall @t36 (= @t46 @t49))) % 19.43/19.60 (define @t105 () (or @t96 @t95 @t32 @t94 @t104)) % 19.43/19.60 (define @t106 () (or @t32 @t94 @t104)) % 19.43/19.60 (define @t107 () (or @t96 @t95)) % 19.43/19.60 (define @t108 () (=> @t51 @t104)) % 19.43/19.60 (define @t109 () (not @t7)) % 19.43/19.60 (define @t110 () (tptp.sdtasdt0 tptp.xp @t75)) % 19.43/19.60 (define @t111 () (= @t72 @t110)) % 19.43/19.60 (define @t112 () (and (tptp.aNaturalNumber0 @t75) @t111)) % 19.43/19.60 (define @t113 () (= @t75 @t75)) % 19.43/19.60 (define @t114 () (not @t73)) % 19.43/19.60 (define @t115 () (tptp.aNaturalNumber0 @t72)) % 19.43/19.60 (define @t116 () (not @t115)) % 19.43/19.60 (define @t117 () (not @t69)) % 19.43/19.60 (define @t118 () (= tptp.xp tptp.sz00)) % 19.43/19.60 (define @t119 () (or @t117 @t116 @t118 @t114 (= @t112 @t113))) % 19.43/19.60 (define @t120 () (forall @t98 (or @t96 @t95 @t32 @t94 (= @t92 (= @t48 @t91))))) % 19.43/19.60 (define @t121 () (= tptp.sz00 tptp.xp)) % 19.43/19.60 (define @t122 () (or @t117 @t116 @t121 @t114 @t112)) % 19.43/19.60 (define @t123 () (@list false)) % 19.43/19.60 (define @t124 () (@list @t120)) % 19.43/19.60 (define @t125 () (@list tptp.xm tptp.xn)) % 19.43/19.60 (define @t126 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 19.43/19.60 (define @t127 () (tptp.aNaturalNumber0 @t126)) % 19.43/19.60 (define @t128 () (not @t71)) % 19.43/19.60 (define @t129 () (not @t70)) % 19.43/19.60 (define @t130 () (or @t129 @t128 @t127)) % 19.43/19.60 (define @t131 () (@list false false false)) % 19.43/19.60 (define @t132 () (or @t96 @t95 @t20)) % 19.43/19.60 (define @t133 () (or @t129 @t128 (= @t126 @t72))) % 19.43/19.60 (define @t134 () (forall @t8 @t132)) % 19.43/19.60 (define @t135 () (= @t72 @t126)) % 19.43/19.60 (define @t136 () (or @t129 @t128 @t135)) % 19.43/19.60 (define @t137 () (= tptp.sz10 @t4)) % 19.43/19.60 (define @t138 () (not @t58)) % 19.43/19.60 (define @t139 () (or @t95 @t138 @t137 @t38)) % 19.43/19.60 (define @t140 () (= @t65 (and @t33 @t63 (forall @t61 @t139)))) % 19.43/19.60 (define @t141 () (or @t137 @t38)) % 19.43/19.60 (define @t142 () (not (tptp.doDivides0 @t4 tptp.xp))) % 19.43/19.60 (define @t143 () (or @t95 @t142 @t137 (= tptp.xp @t4))) % 19.43/19.60 (define @t144 () (forall @t61 @t143)) % 19.43/19.60 (define @t145 () (not (= tptp.xp tptp.sz10))) % 19.43/19.60 (define @t146 () (not @t118)) % 19.43/19.60 (define @t147 () (and @t146 @t145 @t144)) % 19.43/19.60 (define @t148 () (= @t74 @t147)) % 19.43/19.60 (define @t149 () (or @t117 @t148)) % 19.43/19.60 (define @t150 () (forall @t3 (or @t96 @t140))) % 19.43/19.60 (define @t151 () (not @t121)) % 19.43/19.60 (define @t152 () (and @t151 (not (= tptp.sz10 tptp.xp)) (forall @t61 (or @t95 @t142 @t137 (= @t4 tptp.xp))))) % 19.43/19.60 (define @t153 () (= @t74 @t152)) % 19.43/19.60 (define @t154 () (or @t117 @t153)) % 19.43/19.60 (define @t155 () (@list @t150)) % 19.43/19.60 (define @t156 () (@list false false)) % 19.43/19.60 (define @t157 () (tptp.sdtasdt0 tptp.xr @t82)) % 19.43/19.60 (define @t158 () (= tptp.xn @t157)) % 19.43/19.60 (define @t159 () (tptp.aNaturalNumber0 @t82)) % 19.43/19.60 (define @t160 () (and @t159 @t158)) % 19.43/19.60 (define @t161 () (= @t160 (= @t82 @t82))) % 19.43/19.60 (define @t162 () (not @t81)) % 19.43/19.60 (define @t163 () (not @t79)) % 19.43/19.60 (define @t164 () (= tptp.xr tptp.sz00)) % 19.43/19.60 (define @t165 () (or @t163 @t128 @t164 @t162 @t161)) % 19.43/19.60 (define @t166 () (= tptp.sz00 tptp.xr)) % 19.43/19.60 (define @t167 () (or @t163 @t128 @t166 @t162 @t160)) % 19.43/19.60 (define @t168 () (not (tptp.doDivides0 @t4 tptp.xr))) % 19.43/19.60 (define @t169 () (or @t95 @t168 @t137 (= tptp.xr @t4))) % 19.43/19.60 (define @t170 () (forall @t61 @t169)) % 19.43/19.60 (define @t171 () (not (= tptp.xr tptp.sz10))) % 19.43/19.60 (define @t172 () (not @t164)) % 19.43/19.60 (define @t173 () (and @t172 @t171 @t170)) % 19.43/19.60 (define @t174 () (= @t78 @t173)) % 19.43/19.60 (define @t175 () (or @t163 @t174)) % 19.43/19.60 (define @t176 () (not @t166)) % 19.43/19.60 (define @t177 () (and @t176 (not (= tptp.sz10 tptp.xr)) (forall @t61 (or @t95 @t168 @t137 (= @t4 tptp.xr))))) % 19.43/19.60 (define @t178 () (= @t78 @t177)) % 19.43/19.60 (define @t179 () (or @t163 @t178)) % 19.43/19.60 (define @t180 () (@list false false false true false)) % 19.43/19.60 (define @t181 () (not @t160)) % 19.43/19.60 (define @t182 () (@list @t160)) % 19.43/19.60 (define @t183 () (tptp.aNaturalNumber0 @t87)) % 19.43/19.60 (define @t184 () (not @t159)) % 19.43/19.60 (define @t185 () (or @t184 @t129 @t183)) % 19.43/19.60 (define @t186 () (tptp.sdtasdt0 tptp.xr @t87)) % 19.43/19.60 (define @t187 () (= @t88 @t186)) % 19.43/19.60 (define @t188 () (not @t183)) % 19.43/19.60 (define @t189 () (or @t188 @t163 @t187)) % 19.43/19.60 (define @t190 () (not @t16)) % 19.43/19.60 (define @t191 () (or @t96 @t95 @t190 @t22)) % 19.43/19.60 (define @t192 () (or @t96 @t95 @t190)) % 19.43/19.60 (define @t193 () (tptp.sdtasdt0 @t157 tptp.xm)) % 19.43/19.60 (define @t194 () (or @t163 @t184 @t129 (= @t193 @t186))) % 19.43/19.60 (define @t195 () (forall @t18 @t191)) % 19.43/19.60 (define @t196 () (= @t186 @t193)) % 19.43/19.60 (define @t197 () (or @t163 @t184 @t129 @t196)) % 19.43/19.60 (define @t198 () (= @t72 @t88)) % 19.43/19.60 (define @t199 () (and @t198 @t86)) % 19.43/19.60 (define @t200 () (= @t72 (tptp.sdtasdt0 (tptp.sdtsldt0 @t110 tptp.xr) tptp.xr))) % 19.43/19.60 (define @t201 () (tptp.sdtsldt0 @t72 tptp.xr)) % 19.43/19.60 (define @t202 () (= @t72 @t186)) % 19.43/19.60 (define @t203 () (and @t183 @t202)) % 19.43/19.60 (define @t204 () (= @t203 (= @t201 @t87))) % 19.43/19.60 (define @t205 () (not @t80)) % 19.43/19.60 (define @t206 () (or @t163 @t116 @t164 @t205 @t204)) % 19.43/19.60 (define @t207 () (= @t87 @t201)) % 19.43/19.60 (define @t208 () (= @t203 @t207)) % 19.43/19.60 (define @t209 () (or @t163 @t116 @t166 @t205 @t208)) % 19.43/19.60 (define @t210 () (and @t111 @t158 @t187 @t196 @t207)) % 19.43/19.60 (assume @p1 (forall @t3 (=> @t2 true))) % 19.43/19.60 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 19.43/19.60 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 19.43/19.60 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 19.43/19.60 (assume @p5 @t11) % 19.43/19.60 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 19.43/19.60 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 19.43/19.60 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 19.43/19.60 (assume @p9 @t21) % 19.43/19.60 (assume @p10 @t23) % 19.43/19.60 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 19.43/19.60 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 19.43/19.60 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t25)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t24)))))) % 19.43/19.60 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t5 @t28) (= @t12 @t27)) @t26)))) % 19.43/19.60 (assume @p15 (forall @t3 (=> @t2 (=> @t33 (forall (@list @t4 @t13) (=> @t31 (=> (or @t30 @t29) @t26))))))) % 19.43/19.60 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t32 @t34))))) % 19.43/19.60 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t32 @t34))))) % 19.43/19.60 (assume @p18 (forall @t8 (=> @t7 (= @t37 (exists @t36 @t35))))) % 19.43/19.60 (assume @p19 (forall @t8 (=> @t7 (=> @t37 (forall @t36 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t35)))))) % 19.43/19.60 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 19.43/19.60 (assume @p21 (forall @t8 (=> @t7 (=> (and @t37 @t39) @t38)))) % 19.43/19.60 (assume @p22 (forall @t18 (=> @t17 (=> (and @t37 @t40) (tptp.sdtlseqdt0 @t1 @t13))))) % 19.43/19.60 (assume @p23 (forall @t8 (=> @t7 (or @t37 (and (not @t41) @t39))))) % 19.43/19.60 (assume @p24 (forall @t8 (=> @t7 (=> @t43 (forall @t36 (=> @t16 (and (not (= @t27 @t42)) (tptp.sdtlseqdt0 @t27 @t42) (not (= @t28 @t14)) (tptp.sdtlseqdt0 @t28 @t14)))))))) % 19.43/19.60 (assume @p25 (forall @t18 (=> @t17 (=> (and @t33 (not @t26) @t40) (and (not @t30) (tptp.sdtlseqdt0 @t9 @t25) (not @t29) (tptp.sdtlseqdt0 @t19 @t24)))))) % 19.43/19.60 (assume @p26 (forall @t3 (=> @t2 (or @t32 @t44 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 19.43/19.60 (assume @p27 (forall @t8 (=> @t7 (=> @t33 (tptp.sdtlseqdt0 @t4 @t19))))) % 19.43/19.60 (assume @p28 (forall @t8 (=> @t7 (=> @t45 true)))) % 19.43/19.60 (assume @p29 (forall @t8 (=> @t7 (=> @t43 @t45)))) % 19.43/19.60 (assume @p30 (forall @t8 (=> @t7 (= @t47 (exists @t36 @t46))))) % 19.43/19.60 (assume @p31 @t54) % 19.43/19.60 (assume @p32 (forall @t18 (=> @t17 (=> (and @t47 (tptp.doDivides0 @t4 @t13)) @t55)))) % 19.43/19.60 (assume @p33 (forall @t18 (=> @t17 (=> (and @t47 @t55) @t56)))) % 19.43/19.60 (assume @p34 (forall @t18 (=> @t17 (=> (and @t47 @t56) @t55)))) % 19.43/19.60 (assume @p35 (forall @t8 (=> @t7 (=> (and @t47 (not @t34)) @t37)))) % 19.43/19.60 (assume @p36 (forall @t8 (=> @t7 (=> @t51 (forall @t36 (=> @t16 (= (tptp.sdtasdt0 @t13 @t48) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t4) @t1)))))))) % 19.43/19.60 (assume @p37 @t68) % 19.43/19.60 (assume @p38 (forall @t3 (=> (and @t2 @t33 @t63) (exists @t61 (and @t6 @t58 (tptp.isPrime0 @t4)))))) % 19.43/19.60 (assume @p39 (and @t71 @t70 @t69)) % 19.43/19.60 (assume @p40 (forall @t18 (=> @t17 (=> (and (tptp.isPrime0 @t13) (tptp.doDivides0 @t13 @t9)) (=> (tptp.iLess0 @t15 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 @t13 @t1) (tptp.doDivides0 @t13 @t4))))))) % 19.43/19.60 (assume @p41 (and @t74 @t73)) % 19.43/19.60 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 19.43/19.60 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 19.43/19.60 (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))) % 19.43/19.60 (assume @p45 (= tptp.xk @t75)) % 19.43/19.60 (assume @p46 (not (or @t77 @t76))) % 19.43/19.60 (assume @p47 (and (not @t77) (not @t76))) % 19.43/19.60 (assume @p48 (and @t79 (tptp.doDivides0 tptp.xr tptp.xk) @t78)) % 19.43/19.60 (assume @p49 (and (tptp.sdtlseqdt0 tptp.xr tptp.xk) @t80)) % 19.43/19.60 (assume @p50 (and (not (= tptp.xk tptp.xp)) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 19.43/19.60 (assume @p51 (or @t81 (tptp.doDivides0 tptp.xr tptp.xm))) % 19.43/19.60 (assume @p52 @t81) % 19.43/19.60 (assume @p53 (and (not (= @t82 tptp.xn)) (tptp.sdtlseqdt0 @t82 tptp.xn))) % 19.43/19.60 (assume @p54 @t90) % 19.43/19.60 (assume @p55 true) % 19.43/19.60 (step @p56 :rule eq-symm :args (@t91 @t48)) % 19.43/19.60 (step @p57 :rule refl :args (@t92)) % 19.43/19.60 (step @p58 :rule cong :premises (@p57 @p56) :args (@t93)) % 19.43/19.60 (step @p59 :rule refl :args (@t94)) % 19.43/19.60 (step @p60 :rule refl :args (@t32)) % 19.43/19.60 (step @p61 :rule refl :args (@t95)) % 19.43/19.60 (step @p62 :rule refl :args (@t96)) % 19.43/19.60 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59 @p58) :args (@t97)) % 19.43/19.60 (step @p64 :rule cong :premises (@p63) :args (@t99)) % 19.43/19.60 (step @p65 :rule quant-merge-prenex :args ((= (forall @t8 @t101) @t99))) % 19.43/19.60 (step @p66 :rule alpha_equiv :args (@t102 (@list @t91) (@list @t13))) % 19.43/19.60 (step @p67 :rule refl :args (@t94)) % 19.43/19.60 (step @p68 :rule refl :args (@t32)) % 19.43/19.60 (step @p69 :rule refl :args (@t95)) % 19.43/19.60 (step @p70 :rule refl :args (@t96)) % 19.43/19.60 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68 @p67 @p66) :args (@t103)) % 19.43/19.60 (step @p72 :rule quant-miniscope-or :args ((= @t101 @t103))) % 19.43/19.60 (step @p73 :rule trans :premises (@p72 @p71)) % 19.43/19.60 (step @p74 :rule symm :premises (@p73)) % 19.43/19.60 (step @p75 :rule cong :premises (@p74) :args ((forall @t8 @t105))) % 19.43/19.60 (step @p76 :rule trans :premises (@p75 @p65)) % 19.43/19.60 (step @p77 :rule trans :premises (@p76 @p64)) % 19.43/19.60 (step @p78 :rule aci_norm :args ((= (or @t107 @t106) @t105))) % 19.43/19.60 (step @p79 :rule aci_norm :args ((= (or (or @t32 @t94) @t104) @t106))) % 19.43/19.60 (step @p80 :rule refl :args (@t104)) % 19.43/19.60 (step @p81 :rule bool-double-not-elim :args (@t32)) % 19.43/19.60 (step @p82 :rule nary_cong :premises (@p81 @p67) :args ((or (not @t33) @t94))) % 19.43/19.60 (step @p83 :rule bool-and-de-morgan :args (@t33 @t47 true)) % 19.43/19.60 (step @p84 :rule trans :premises (@p83 @p82)) % 19.43/19.60 (step @p85 :rule nary_cong :premises (@p84 @p80) :args ((or (not @t51) @t104))) % 19.43/19.60 (step @p86 :rule trans :premises (@p85 @p79)) % 19.43/19.60 (step @p87 :rule bool-impl-elim :args (@t51 @t104)) % 19.43/19.60 (step @p88 :rule trans :premises (@p87 @p86)) % 19.43/19.60 (step @p89 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 19.43/19.60 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t109 @t108))) % 19.43/19.60 (step @p91 :rule trans :premises (@p90 @p78)) % 19.43/19.60 (step @p92 :rule bool-impl-elim :args (@t7 @t108)) % 19.43/19.60 (step @p93 :rule trans :premises (@p92 @p91)) % 19.43/19.60 (step @p94 :rule cong :premises (@p93) :args ((forall @t8 (=> @t7 @t108)))) % 19.43/19.60 (step @p95 :rule trans :premises (@p94 @p77)) % 19.43/19.60 (step @p96 :rule eq-symm :args (@t49 @t46)) % 19.43/19.60 (step @p97 :rule cong :premises (@p96) :args (@t50)) % 19.43/19.60 (step @p98 :rule refl :args (@t51)) % 19.43/19.60 (step @p99 :rule cong :premises (@p98 @p97) :args (@t52)) % 19.43/19.60 (step @p100 :rule refl :args (@t7)) % 19.43/19.60 (step @p101 :rule cong :premises (@p100 @p99) :args (@t53)) % 19.43/19.60 (step @p102 :rule cong :premises (@p101) :args (@t54)) % 19.43/19.60 (step @p103 :rule trans :premises (@p102 @p95)) % 19.43/19.60 (step @p104 :rule eq_resolve :premises (@p31 @p103)) % 19.43/19.60 (step @p105 :rule bool-eq-true :args (@t112)) % 19.43/19.60 (step @p106 :rule eq-symm :args (true @t112)) % 19.43/19.60 (step @p107 :rule trans :premises (@p106 @p105)) % 19.43/19.60 (step @p108 :rule refl :args (@t112)) % 19.43/19.60 (step @p109 :rule eq-refl :args (@t75)) % 19.43/19.60 (step @p110 :rule cong :premises (@p109 @p108) :args ((= @t113 @t112))) % 19.43/19.60 (step @p111 :rule trans :premises (@p110 @p107)) % 19.43/19.60 (step @p112 :rule eq-symm :args (@t112 @t113)) % 19.43/19.60 (step @p113 :rule trans :premises (@p112 @p111)) % 19.43/19.60 (step @p114 :rule refl :args (@t114)) % 19.43/19.60 (step @p115 :rule eq-symm :args (tptp.xp tptp.sz00)) % 19.43/19.60 (step @p116 :rule refl :args (@t116)) % 19.43/19.60 (step @p117 :rule refl :args (@t117)) % 19.43/19.60 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114 @p113) :args (@t119)) % 19.43/19.60 (step @p119 :rule refl :args (@t120)) % 19.43/19.60 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t120 @t119))) % 19.43/19.60 (assume-push @p396 @t120) % 19.43/19.60 (step @p122 :rule instantiate :premises (@p104) :args ((@list tptp.xp @t72 @t75))) % 19.43/19.60 (step-pop @p397 :rule scope :premises (@p122)) % 19.43/19.60 (step @p123 :rule process_scope :premises (@p397) :args (@t119)) % 19.43/19.60 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 19.43/19.60 (step @p126 :rule implies_elim :premises (@p125)) % 19.43/19.60 (step @p127 :rule chain_m_resolution :premises (@p126 @p104) :args (@t122 @t123 @t124)) % 19.43/19.60 (step @p128 :rule aci_norm :args ((= (or @t107 @t10) (or @t96 @t95 @t10)))) % 19.43/19.60 (step @p129 :rule refl :args (@t10)) % 19.43/19.60 (step @p130 :rule nary_cong :premises (@p89 @p129) :args ((or @t109 @t10))) % 19.43/19.60 (step @p131 :rule trans :premises (@p130 @p128)) % 19.43/19.60 (step @p132 :rule bool-impl-elim :args (@t7 @t10)) % 19.43/19.60 (step @p133 :rule trans :premises (@p132 @p131)) % 19.43/19.60 (step @p134 :rule cong :premises (@p133) :args (@t11)) % 19.43/19.60 (step @p135 :rule eq_resolve :premises (@p5 @p134)) % 19.43/19.60 (step @p136 :rule instantiate :premises (@p135) :args (@t125)) % 19.43/19.60 (step @p137 :rule and_elim :premises (@p39) :args (1)) % 19.43/19.60 (step @p138 :rule and_elim :premises (@p39) :args (0)) % 19.43/19.60 (step @p139 :rule cnf_or_pos :args (@t130)) % 19.43/19.60 (step @p140 :rule reordering :premises (@p139) :args ((or @t128 @t129 @t127 (not @t130)))) % 19.43/19.60 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p137 @p136) :args (@t127 @t131 (@list @t71 @t70 @t130))) % 19.43/19.60 (step @p142 :rule true_intro :premises (@p141)) % 19.43/19.60 (step @p143 :rule aci_norm :args ((= (or @t107 @t20) @t132))) % 19.43/19.60 (step @p144 :rule refl :args (@t20)) % 19.43/19.60 (step @p145 :rule nary_cong :premises (@p89 @p144) :args ((or @t109 @t20))) % 19.43/19.60 (step @p146 :rule trans :premises (@p145 @p143)) % 19.43/19.60 (step @p147 :rule bool-impl-elim :args (@t7 @t20)) % 19.43/19.60 (step @p148 :rule trans :premises (@p147 @p146)) % 19.43/19.60 (step @p149 :rule cong :premises (@p148) :args (@t21)) % 19.43/19.60 (step @p150 :rule eq_resolve :premises (@p9 @p149)) % 19.43/19.60 (step @p151 :rule eq-symm :args (@t126 @t72)) % 19.43/19.60 (step @p152 :rule refl :args (@t128)) % 19.43/19.60 (step @p153 :rule refl :args (@t129)) % 19.43/19.60 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151) :args (@t133)) % 19.43/19.60 (step @p155 :rule refl :args (@t134)) % 19.43/19.60 (step @p156 :rule cong :premises (@p155 @p154) :args ((=> @t134 @t133))) % 19.43/19.60 (assume-push @p398 @t134) % 19.43/19.60 (step @p158 :rule instantiate :premises (@p150) :args (@t125)) % 19.43/19.60 (step-pop @p399 :rule scope :premises (@p158)) % 19.43/19.60 (step @p159 :rule process_scope :premises (@p399) :args (@t133)) % 19.43/19.60 (step @p161 :rule eq_resolve :premises (@p159 @p156)) % 19.43/19.60 (step @p162 :rule implies_elim :premises (@p161)) % 19.43/19.60 (step @p163 :rule chain_m_resolution :premises (@p162 @p150) :args (@t136 @t123 (@list @t134))) % 19.43/19.60 (step @p164 :rule cnf_or_pos :args (@t136)) % 19.43/19.60 (step @p165 :rule reordering :premises (@p164) :args ((or @t128 @t129 @t135 (not @t136)))) % 19.43/19.60 (step @p166 :rule chain_m_resolution :premises (@p165 @p138 @p137 @p163) :args (@t135 @t131 (@list @t71 @t70 @t136))) % 19.43/19.60 (step @p167 :rule cong :premises (@p166) :args (@t115)) % 19.43/19.60 (step @p168 :rule trans :premises (@p167 @p142)) % 19.43/19.60 (step @p169 :rule true_elim :premises (@p168)) % 19.43/19.60 (step @p170 :rule bool-impl-elim :args (@t2 @t140)) % 19.43/19.60 (step @p171 :rule cong :premises (@p170) :args ((forall @t3 (=> @t2 @t140)))) % 19.43/19.60 (step @p172 :rule aci_norm :args ((= (or (or @t95 @t138) @t141) @t139))) % 19.43/19.60 (step @p173 :rule refl :args (@t141)) % 19.43/19.60 (step @p174 :rule bool-and-de-morgan :args (@t6 @t58 true)) % 19.43/19.60 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or (not @t59) @t141))) % 19.43/19.60 (step @p176 :rule trans :premises (@p175 @p172)) % 19.43/19.60 (step @p177 :rule bool-impl-elim :args (@t59 @t141)) % 19.43/19.60 (step @p178 :rule trans :premises (@p177 @p176)) % 19.43/19.60 (step @p179 :rule cong :premises (@p178) :args ((forall @t61 (=> @t59 @t141)))) % 19.43/19.60 (step @p180 :rule eq-symm :args (@t4 @t1)) % 19.43/19.60 (step @p181 :rule eq-symm :args (@t4 tptp.sz10)) % 19.43/19.60 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t57)) % 19.43/19.60 (step @p183 :rule refl :args (@t59)) % 19.43/19.60 (step @p184 :rule cong :premises (@p183 @p182) :args (@t60)) % 19.43/19.60 (step @p185 :rule cong :premises (@p184) :args (@t62)) % 19.43/19.60 (step @p186 :rule trans :premises (@p185 @p179)) % 19.43/19.60 (step @p187 :rule refl :args (@t63)) % 19.43/19.60 (step @p188 :rule refl :args (@t33)) % 19.43/19.60 (step @p189 :rule nary_cong :premises (@p188 @p187 @p186) :args (@t64)) % 19.43/19.60 (step @p190 :rule refl :args (@t65)) % 19.43/19.60 (step @p191 :rule cong :premises (@p190 @p189) :args (@t66)) % 19.43/19.60 (step @p192 :rule refl :args (@t2)) % 19.43/19.60 (step @p193 :rule cong :premises (@p192 @p191) :args (@t67)) % 19.43/19.60 (step @p194 :rule cong :premises (@p193) :args (@t68)) % 19.43/19.60 (step @p195 :rule trans :premises (@p194 @p171)) % 19.43/19.60 (step @p196 :rule eq_resolve :premises (@p37 @p195)) % 19.43/19.60 (step @p197 :rule eq-symm :args (tptp.xp @t4)) % 19.43/19.60 (step @p198 :rule refl :args (@t137)) % 19.43/19.60 (step @p199 :rule refl :args (@t142)) % 19.43/19.60 (step @p200 :rule nary_cong :premises (@p61 @p199 @p198 @p197) :args (@t143)) % 19.43/19.60 (step @p201 :rule cong :premises (@p200) :args (@t144)) % 19.43/19.60 (step @p202 :rule eq-symm :args (tptp.xp tptp.sz10)) % 19.43/19.60 (step @p203 :rule cong :premises (@p202) :args (@t145)) % 19.43/19.60 (step @p204 :rule cong :premises (@p115) :args (@t146)) % 19.43/19.60 (step @p205 :rule nary_cong :premises (@p204 @p203 @p201) :args (@t147)) % 19.43/19.60 (step @p206 :rule refl :args (@t74)) % 19.43/19.60 (step @p207 :rule cong :premises (@p206 @p205) :args (@t148)) % 19.43/19.60 (step @p208 :rule nary_cong :premises (@p117 @p207) :args (@t149)) % 19.43/19.60 (step @p209 :rule refl :args (@t150)) % 19.43/19.60 (step @p210 :rule cong :premises (@p209 @p208) :args ((=> @t150 @t149))) % 19.43/19.60 (assume-push @p400 @t150) % 19.43/19.60 (step @p212 :rule instantiate :premises (@p196) :args ((@list tptp.xp))) % 19.43/19.60 (step-pop @p401 :rule scope :premises (@p212)) % 19.43/19.60 (step @p213 :rule process_scope :premises (@p401) :args (@t149)) % 19.43/19.60 (step @p215 :rule eq_resolve :premises (@p213 @p210)) % 19.43/19.60 (step @p216 :rule implies_elim :premises (@p215)) % 19.43/19.60 (step @p217 :rule chain_m_resolution :premises (@p216 @p196) :args (@t154 @t123 @t155)) % 19.43/19.60 (step @p218 :rule and_elim :premises (@p39) :args (2)) % 19.43/19.60 (step @p219 :rule cnf_or_pos :args (@t154)) % 19.43/19.60 (step @p220 :rule reordering :premises (@p219) :args ((or @t117 @t153 (not @t154)))) % 19.43/19.60 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p217) :args (@t153 @t156 (@list @t69 @t154))) % 19.43/19.60 (step @p222 :rule and_elim :premises (@p41) :args (0)) % 19.43/19.60 (step @p223 :rule cnf_equiv_pos1 :args (@t153)) % 19.43/19.60 (step @p224 :rule reordering :premises (@p223) :args ((or (not @t74) @t152 (not @t153)))) % 19.43/19.60 (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p221) :args (@t152 @t156 (@list @t74 @t153))) % 19.43/19.60 (step @p226 :rule cnf_and_pos :args (@t152 0)) % 19.43/19.60 (step @p227 :rule reordering :premises (@p226) :args ((or @t151 (not @t152)))) % 19.43/19.60 (step @p228 :rule chain_m_resolution :premises (@p227 @p225) :args (@t151 @t123 (@list @t152))) % 19.43/19.60 (step @p229 :rule and_elim :premises (@p41) :args (1)) % 19.43/19.60 (step @p230 :rule cnf_or_pos :args (@t122)) % 19.43/19.60 (step @p231 :rule reordering :premises (@p230) :args ((or @t117 @t114 @t121 @t116 @t112 (not @t122)))) % 19.43/19.60 (step @p232 :rule chain_m_resolution :premises (@p231 @p218 @p229 @p228 @p169 @p127) :args (@t112 (@list false false true false false) (@list @t69 @t73 @t121 @t115 @t122))) % 19.43/19.60 (step @p233 :rule cnf_and_pos :args (@t112 1)) % 19.43/19.60 (step @p234 :rule reordering :premises (@p233) :args ((or @t111 (not @t112)))) % 19.43/19.60 (step @p235 :rule chain_m_resolution :premises (@p234 @p232) :args (@t111 @t123 (@list @t112))) % 19.43/19.60 (step @p236 :rule bool-eq-true :args (@t160)) % 19.43/19.60 (step @p237 :rule eq-refl :args (@t82)) % 19.43/19.60 (step @p238 :rule refl :args (@t160)) % 19.43/19.60 (step @p239 :rule cong :premises (@p238 @p237) :args (@t161)) % 19.43/19.60 (step @p240 :rule trans :premises (@p239 @p236)) % 19.43/19.60 (step @p241 :rule refl :args (@t162)) % 19.43/19.60 (step @p242 :rule eq-symm :args (tptp.xr tptp.sz00)) % 19.43/19.60 (step @p243 :rule refl :args (@t163)) % 19.43/19.60 (step @p244 :rule nary_cong :premises (@p243 @p152 @p242 @p241 @p240) :args (@t165)) % 19.43/19.60 (step @p245 :rule cong :premises (@p119 @p244) :args ((=> @t120 @t165))) % 19.43/19.60 (assume-push @p402 @t120) % 19.43/19.60 (step @p247 :rule instantiate :premises (@p104) :args ((@list tptp.xr tptp.xn @t82))) % 19.43/19.60 (step-pop @p403 :rule scope :premises (@p247)) % 19.43/19.60 (step @p248 :rule process_scope :premises (@p403) :args (@t165)) % 19.43/19.60 (step @p250 :rule eq_resolve :premises (@p248 @p245)) % 19.43/19.60 (step @p251 :rule implies_elim :premises (@p250)) % 19.43/19.60 (step @p252 :rule chain_m_resolution :premises (@p251 @p104) :args (@t167 @t123 @t124)) % 19.43/19.60 (step @p253 :rule eq-symm :args (tptp.xr @t4)) % 19.43/19.60 (step @p254 :rule refl :args (@t168)) % 19.43/19.60 (step @p255 :rule nary_cong :premises (@p61 @p254 @p198 @p253) :args (@t169)) % 19.43/19.60 (step @p256 :rule cong :premises (@p255) :args (@t170)) % 19.43/19.60 (step @p257 :rule eq-symm :args (tptp.xr tptp.sz10)) % 19.43/19.60 (step @p258 :rule cong :premises (@p257) :args (@t171)) % 19.43/19.60 (step @p259 :rule cong :premises (@p242) :args (@t172)) % 19.43/19.60 (step @p260 :rule nary_cong :premises (@p259 @p258 @p256) :args (@t173)) % 19.43/19.60 (step @p261 :rule refl :args (@t78)) % 19.43/19.60 (step @p262 :rule cong :premises (@p261 @p260) :args (@t174)) % 19.43/19.60 (step @p263 :rule nary_cong :premises (@p243 @p262) :args (@t175)) % 19.43/19.60 (step @p264 :rule cong :premises (@p209 @p263) :args ((=> @t150 @t175))) % 19.43/19.60 (assume-push @p404 @t150) % 19.43/19.60 (step @p266 :rule instantiate :premises (@p196) :args ((@list tptp.xr))) % 19.43/19.60 (step-pop @p405 :rule scope :premises (@p266)) % 19.43/19.60 (step @p267 :rule process_scope :premises (@p405) :args (@t175)) % 19.43/19.60 (step @p269 :rule eq_resolve :premises (@p267 @p264)) % 19.43/19.60 (step @p270 :rule implies_elim :premises (@p269)) % 19.43/19.60 (step @p271 :rule chain_m_resolution :premises (@p270 @p196) :args (@t179 @t123 @t155)) % 19.43/19.60 (step @p272 :rule and_elim :premises (@p48) :args (0)) % 19.43/19.60 (step @p273 :rule cnf_or_pos :args (@t179)) % 19.43/19.60 (step @p274 :rule reordering :premises (@p273) :args ((or @t163 @t178 (not @t179)))) % 19.43/19.60 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p271) :args (@t178 @t156 (@list @t79 @t179))) % 19.43/19.60 (step @p276 :rule and_elim :premises (@p48) :args (2)) % 19.43/19.60 (step @p277 :rule cnf_equiv_pos1 :args (@t178)) % 19.43/19.60 (step @p278 :rule reordering :premises (@p277) :args ((or (not @t78) @t177 (not @t178)))) % 19.43/19.60 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p275) :args (@t177 @t156 (@list @t78 @t178))) % 19.43/19.60 (step @p280 :rule cnf_and_pos :args (@t177 0)) % 19.43/19.60 (step @p281 :rule reordering :premises (@p280) :args ((or @t176 (not @t177)))) % 19.43/19.60 (step @p282 :rule chain_m_resolution :premises (@p281 @p279) :args (@t176 @t123 (@list @t177))) % 19.43/19.60 (step @p283 :rule cnf_or_pos :args (@t167)) % 19.43/19.60 (step @p284 :rule reordering :premises (@p283) :args ((or @t162 @t128 @t163 @t166 @t160 (not @t167)))) % 19.43/19.60 (step @p285 :rule chain_m_resolution :premises (@p284 @p52 @p138 @p272 @p282 @p252) :args (@t160 @t180 (@list @t81 @t71 @t79 @t166 @t167))) % 19.43/19.60 (step @p286 :rule cnf_and_pos :args (@t160 1)) % 19.43/19.60 (step @p287 :rule reordering :premises (@p286) :args ((or @t158 @t181))) % 19.43/19.60 (step @p288 :rule chain_m_resolution :premises (@p287 @p285) :args (@t158 @t123 @t182)) % 19.43/19.60 (step @p289 :rule instantiate :premises (@p150) :args ((@list @t87 tptp.xr))) % 19.43/19.60 (step @p290 :rule instantiate :premises (@p135) :args ((@list @t82 tptp.xm))) % 19.43/19.60 (step @p291 :rule cnf_and_pos :args (@t160 0)) % 19.43/19.60 (step @p292 :rule reordering :premises (@p291) :args ((or @t159 @t181))) % 19.43/19.60 (step @p293 :rule chain_m_resolution :premises (@p292 @p285) :args (@t159 @t123 @t182)) % 19.43/19.60 (step @p294 :rule cnf_or_pos :args (@t185)) % 19.43/19.60 (step @p295 :rule reordering :premises (@p294) :args ((or @t129 @t184 @t183 (not @t185)))) % 19.43/19.60 (step @p296 :rule chain_m_resolution :premises (@p295 @p137 @p293 @p290) :args (@t183 @t131 (@list @t70 @t159 @t185))) % 19.43/19.60 (step @p297 :rule cnf_or_pos :args (@t189)) % 19.43/19.60 (step @p298 :rule reordering :premises (@p297) :args ((or @t163 @t188 @t187 (not @t189)))) % 19.43/19.60 (step @p299 :rule chain_m_resolution :premises (@p298 @p272 @p296 @p289) :args (@t187 @t131 (@list @t79 @t183 @t189))) % 19.43/19.60 (step @p300 :rule aci_norm :args ((= (or @t192 @t22) @t191))) % 19.43/19.60 (step @p301 :rule refl :args (@t22)) % 19.43/19.60 (step @p302 :rule aci_norm :args ((= (or @t96 (or @t95 @t190)) @t192))) % 19.43/19.60 (step @p303 :rule bool-and-de-morgan :args (@t6 @t16 true)) % 19.43/19.60 (step @p304 :rule nary_cong :premises (@p70 @p303) :args ((or @t96 (not @t31)))) % 19.43/19.60 (step @p305 :rule bool-and-de-morgan :args (@t2 @t6 (and @t16))) % 19.43/19.60 (step @p306 :rule trans :premises (@p305 @p304)) % 19.43/19.60 (step @p307 :rule trans :premises (@p306 @p302)) % 19.43/19.60 (step @p308 :rule nary_cong :premises (@p307 @p301) :args ((or (not @t17) @t22))) % 19.43/19.60 (step @p309 :rule trans :premises (@p308 @p300)) % 19.43/19.60 (step @p310 :rule bool-impl-elim :args (@t17 @t22)) % 19.43/19.60 (step @p311 :rule trans :premises (@p310 @p309)) % 19.43/19.60 (step @p312 :rule cong :premises (@p311) :args (@t23)) % 19.43/19.60 (step @p313 :rule eq_resolve :premises (@p10 @p312)) % 19.43/19.60 (step @p314 :rule eq-symm :args (@t193 @t186)) % 19.43/19.60 (step @p315 :rule refl :args (@t184)) % 19.43/19.60 (step @p316 :rule nary_cong :premises (@p243 @p315 @p153 @p314) :args (@t194)) % 19.43/19.60 (step @p317 :rule refl :args (@t195)) % 19.43/19.60 (step @p318 :rule cong :premises (@p317 @p316) :args ((=> @t195 @t194))) % 19.43/19.60 (assume-push @p406 @t195) % 19.43/19.60 (step @p320 :rule instantiate :premises (@p313) :args ((@list tptp.xr @t82 tptp.xm))) % 19.43/19.60 (step-pop @p407 :rule scope :premises (@p320)) % 19.43/19.60 (step @p321 :rule process_scope :premises (@p407) :args (@t194)) % 19.43/19.60 (step @p323 :rule eq_resolve :premises (@p321 @p318)) % 19.43/19.60 (step @p324 :rule implies_elim :premises (@p323)) % 19.43/19.60 (step @p325 :rule chain_m_resolution :premises (@p324 @p313) :args (@t197 @t123 (@list @t195))) % 19.43/19.60 (step @p326 :rule cnf_or_pos :args (@t197)) % 19.43/19.60 (step @p327 :rule reordering :premises (@p326) :args ((or @t129 @t163 @t184 @t196 (not @t197)))) % 19.43/19.60 (step @p328 :rule chain_m_resolution :premises (@p327 @p137 @p272 @p293 @p325) :args (@t196 (@list false false false false) (@list @t70 @t79 @t159 @t197))) % 19.43/19.60 (step @p329 :rule symm :premises (@p299)) % 19.43/19.60 (step @p330 :rule symm :premises (@p328)) % 19.43/19.60 (step @p331 :rule refl :args (tptp.xm)) % 19.43/19.60 (step @p332 :rule cong :premises (@p288 @p331) :args (@t72)) % 19.43/19.60 (step @p333 :rule trans :premises (@p332 @p330 @p329)) % 19.43/19.60 (step @p334 :rule refl :args (tptp.xr)) % 19.43/19.60 (step @p335 :rule refl :args (tptp.xp)) % 19.43/19.60 (step @p336 :rule cong :premises (@p335 @p45) :args (@t83)) % 19.43/19.60 (step @p337 :rule cong :premises (@p336 @p334) :args (@t84)) % 19.43/19.60 (step @p338 :rule cong :premises (@p337 @p334) :args (@t85)) % 19.43/19.60 (step @p339 :rule refl :args (@t72)) % 19.43/19.60 (step @p340 :rule cong :premises (@p339 @p338) :args (@t86)) % 19.43/19.60 (step @p341 :rule refl :args (@t198)) % 19.43/19.60 (step @p342 :rule nary_cong :premises (@p341 @p340) :args (@t199)) % 19.43/19.60 (step @p343 :rule cong :premises (@p342) :args ((not @t199))) % 19.43/19.60 (step @p344 :rule refl :args (@t86)) % 19.43/19.60 (step @p345 :rule eq-symm :args (@t88 @t72)) % 19.43/19.60 (step @p346 :rule nary_cong :premises (@p345 @p344) :args (@t89)) % 19.43/19.60 (step @p347 :rule cong :premises (@p346) :args (@t90)) % 19.43/19.60 (step @p348 :rule trans :premises (@p347 @p343)) % 19.43/19.60 (step @p349 :rule eq_resolve :premises (@p54 @p348)) % 19.43/19.60 (step @p350 :rule not_and :premises (@p349)) % 19.43/19.60 (step @p351 :rule chain_m_resolution :premises (@p350 @p333) :args ((not @t200) @t123 (@list @t198))) % 19.43/19.60 (step @p352 :rule eq-symm :args (@t201 @t87)) % 19.43/19.60 (step @p353 :rule refl :args (@t203)) % 19.43/19.60 (step @p354 :rule cong :premises (@p353 @p352) :args (@t204)) % 19.43/19.60 (step @p355 :rule refl :args (@t205)) % 19.43/19.60 (step @p356 :rule nary_cong :premises (@p243 @p116 @p242 @p355 @p354) :args (@t206)) % 19.43/19.60 (step @p357 :rule cong :premises (@p119 @p356) :args ((=> @t120 @t206))) % 19.43/19.60 (assume-push @p408 @t120) % 19.43/19.60 (step @p359 :rule instantiate :premises (@p104) :args ((@list tptp.xr @t72 @t87))) % 19.43/19.60 (step-pop @p409 :rule scope :premises (@p359)) % 19.43/19.60 (step @p360 :rule process_scope :premises (@p409) :args (@t206)) % 19.43/19.60 (step @p362 :rule eq_resolve :premises (@p360 @p357)) % 19.43/19.60 (step @p363 :rule implies_elim :premises (@p362)) % 19.43/19.60 (step @p364 :rule chain_m_resolution :premises (@p363 @p104) :args (@t209 @t123 @t124)) % 19.43/19.60 (step @p365 :rule and_elim :premises (@p49) :args (1)) % 19.43/19.60 (step @p366 :rule cnf_or_pos :args (@t209)) % 19.43/19.60 (step @p367 :rule reordering :premises (@p366) :args ((or @t163 @t205 @t116 @t166 @t208 (not @t209)))) % 19.43/19.60 (step @p368 :rule chain_m_resolution :premises (@p367 @p272 @p365 @p169 @p282 @p364) :args (@t208 @t180 (@list @t79 @t80 @t115 @t166 @t209))) % 19.43/19.60 (step @p369 :rule trans :premises (@p332 @p330)) % 19.43/19.60 (step @p370 :rule cnf_and_neg :args (@t203)) % 19.43/19.60 (step @p371 :rule reordering :premises (@p370) :args ((or @t188 @t203 (not @t202)))) % 19.43/19.60 (step @p372 :rule chain_m_resolution :premises (@p371 @p296 @p369) :args (@t203 @t156 (@list @t183 @t202))) % 19.43/19.60 (step @p373 :rule cnf_equiv_pos1 :args (@t208)) % 19.43/19.60 (step @p374 :rule reordering :premises (@p373) :args ((or @t207 (not @t203) (not @t208)))) % 19.43/19.60 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p368) :args (@t207 @t156 (@list @t203 @t208))) % 19.43/19.61 (assume-push @p410 @t111) % 19.43/19.61 (assume-push @p411 @t158) % 19.43/19.61 (assume-push @p412 @t187) % 19.43/19.61 (assume-push @p413 @t196) % 19.43/19.61 (assume-push @p414 @t207) % 19.43/19.61 (step @p381 :rule cong :premises (@p235 @p334) :args (@t201)) % 19.43/19.61 (step @p382 :rule trans :premises (@p375 @p381)) % 19.43/19.61 (step @p383 :rule cong :premises (@p382 @p334) :args (@t88)) % 19.43/19.61 (step @p384 :rule trans :premises (@p332 @p330 @p329 @p383)) % 19.43/19.61 (step-pop @p415 :rule scope :premises (@p384)) % 19.43/19.61 (step-pop @p416 :rule scope :premises (@p415)) % 19.43/19.61 (step-pop @p417 :rule scope :premises (@p416)) % 19.43/19.61 (step-pop @p418 :rule scope :premises (@p417)) % 19.43/19.61 (step-pop @p419 :rule scope :premises (@p418)) % 19.43/19.61 (step @p385 :rule process_scope :premises (@p419) :args (@t200)) % 19.43/19.61 (step @p391 :rule implies_elim :premises (@p385)) % 19.43/19.61 (step @p392 :rule cnf_and_neg :args (@t210)) % 19.43/19.61 (step @p393 :rule resolution :premises (@p392 @p391) :args (true @t210)) % 19.43/19.61 (step @p394 :rule reordering :premises (@p393) :args ((or @t200 (not @t111) (not @t158) (not @t187) (not @t196) (not @t207)))) % 19.43/19.61 (step @p395 false :rule chain_m_resolution :premises (@p394 @p375 @p351 @p328 @p299 @p288 @p235) :args (false (@list false true false false false false) (@list @t207 @t200 @t196 @t187 @t158 @t111))) % 19.43/19.61 ) % 19.43/19.61 % SZS output end Proof % 19.43/19.61 % cvc5 exiting %------------------------------------------------------------------------------