%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM513+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 : n011.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 18.42s 18.66s % Output : Proof 18.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM513+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.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 11:26:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 18.42/18.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 18.42/18.66 --- Run --no-e-matching --full-saturate-quant at 6... % 18.42/18.66 % SZS status Theorem % 18.42/18.66 % SZS output start Proof % 18.42/18.66 ( % 18.42/18.66 (declare-sort $$unsorted 0) % 18.42/18.66 (declare-const tptp.xr $$unsorted) % 18.42/18.66 (declare-const tptp.xk $$unsorted) % 18.42/18.66 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 18.42/18.66 (declare-const tptp.xm $$unsorted) % 18.42/18.66 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 18.42/18.66 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 18.42/18.66 (declare-const tptp.xn $$unsorted) % 18.42/18.66 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 18.42/18.66 (declare-const tptp.sz00 $$unsorted) % 18.42/18.66 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 18.42/18.66 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 18.42/18.66 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 18.42/18.66 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 18.42/18.66 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 18.42/18.66 (declare-const tptp.sz10 $$unsorted) % 18.42/18.66 (declare-const tptp.xp $$unsorted) % 18.42/18.66 (define @t1 () (@var "W0" $$unsorted)) % 18.42/18.66 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 18.42/18.66 (define @t3 () (@list @t1)) % 18.42/18.66 (define @t4 () (@var "W1" $$unsorted)) % 18.42/18.66 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 18.42/18.66 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 18.42/18.66 (define @t7 () (and @t2 @t6)) % 18.42/18.66 (define @t8 () (@list @t1 @t4)) % 18.42/18.66 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 18.42/18.66 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 18.42/18.66 (define @t11 () (forall @t8 (=> @t7 @t10))) % 18.42/18.66 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 18.42/18.66 (define @t13 () (@var "W2" $$unsorted)) % 18.42/18.66 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 18.42/18.66 (define @t15 () (tptp.sdtpldt0 @t5 @t13)) % 18.42/18.66 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 18.42/18.66 (define @t17 () (and @t2 @t6 @t16)) % 18.42/18.66 (define @t18 () (@list @t1 @t4 @t13)) % 18.42/18.66 (define @t19 () (tptp.sdtasdt0 @t4 @t1)) % 18.42/18.66 (define @t20 () (= @t9 @t19)) % 18.42/18.66 (define @t21 () (forall @t8 (=> @t7 @t20))) % 18.42/18.66 (define @t22 () (tptp.sdtasdt0 @t13 @t1)) % 18.42/18.66 (define @t23 () (tptp.sdtasdt0 @t1 @t13)) % 18.42/18.66 (define @t24 () (= @t4 @t13)) % 18.42/18.66 (define @t25 () (tptp.sdtpldt0 @t13 @t1)) % 18.42/18.66 (define @t26 () (tptp.sdtpldt0 @t1 @t13)) % 18.42/18.66 (define @t27 () (= @t19 @t22)) % 18.42/18.66 (define @t28 () (= @t9 @t23)) % 18.42/18.66 (define @t29 () (= @t1 tptp.sz00)) % 18.42/18.66 (define @t30 () (not @t29)) % 18.42/18.66 (define @t31 () (= @t4 tptp.sz00)) % 18.42/18.66 (define @t32 () (and @t16 (= @t26 @t4))) % 18.42/18.66 (define @t33 () (@list @t13)) % 18.42/18.66 (define @t34 () (tptp.sdtlseqdt0 @t1 @t4)) % 18.42/18.66 (define @t35 () (= @t1 @t4)) % 18.42/18.66 (define @t36 () (tptp.sdtlseqdt0 @t4 @t1)) % 18.42/18.66 (define @t37 () (tptp.sdtlseqdt0 @t4 @t13)) % 18.42/18.66 (define @t38 () (= @t4 @t1)) % 18.42/18.66 (define @t39 () (tptp.sdtpldt0 @t13 @t4)) % 18.42/18.66 (define @t40 () (and (not @t35) @t34)) % 18.42/18.66 (define @t41 () (= @t1 tptp.sz10)) % 18.42/18.66 (define @t42 () (tptp.iLess0 @t1 @t4)) % 18.42/18.66 (define @t43 () (and @t16 (= @t4 @t23))) % 18.42/18.66 (define @t44 () (tptp.doDivides0 @t1 @t4)) % 18.42/18.66 (define @t45 () (tptp.sdtsldt0 @t4 @t1)) % 18.42/18.66 (define @t46 () (= @t13 @t45)) % 18.42/18.66 (define @t47 () (forall @t33 (= @t46 @t43))) % 18.42/18.66 (define @t48 () (and @t30 @t44)) % 18.42/18.66 (define @t49 () (=> @t48 @t47)) % 18.42/18.66 (define @t50 () (=> @t7 @t49)) % 18.42/18.66 (define @t51 () (forall @t8 @t50)) % 18.42/18.66 (define @t52 () (tptp.doDivides0 @t1 @t13)) % 18.42/18.66 (define @t53 () (tptp.doDivides0 @t1 @t14)) % 18.42/18.66 (define @t54 () (= (tptp.sdtasdt0 @t13 @t45) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t4) @t1))) % 18.42/18.66 (define @t55 () (forall @t33 (=> @t16 @t54))) % 18.42/18.66 (define @t56 () (=> @t48 @t55)) % 18.42/18.66 (define @t57 () (=> @t7 @t56)) % 18.42/18.66 (define @t58 () (forall @t8 @t57)) % 18.42/18.66 (define @t59 () (or (= @t4 tptp.sz10) @t38)) % 18.42/18.66 (define @t60 () (tptp.doDivides0 @t4 @t1)) % 18.42/18.66 (define @t61 () (and @t6 @t60)) % 18.42/18.66 (define @t62 () (=> @t61 @t59)) % 18.42/18.66 (define @t63 () (@list @t4)) % 18.42/18.66 (define @t64 () (forall @t63 @t62)) % 18.42/18.66 (define @t65 () (not @t41)) % 18.42/18.66 (define @t66 () (and @t30 @t65 @t64)) % 18.42/18.66 (define @t67 () (tptp.isPrime0 @t1)) % 18.42/18.66 (define @t68 () (= @t67 @t66)) % 18.42/18.66 (define @t69 () (=> @t2 @t68)) % 18.42/18.66 (define @t70 () (forall @t3 @t69)) % 18.42/18.66 (define @t71 () (tptp.aNaturalNumber0 tptp.xp)) % 18.42/18.66 (define @t72 () (tptp.aNaturalNumber0 tptp.xm)) % 18.42/18.66 (define @t73 () (tptp.aNaturalNumber0 tptp.xn)) % 18.42/18.66 (define @t74 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 18.42/18.66 (define @t75 () (tptp.doDivides0 tptp.xp @t74)) % 18.42/18.66 (define @t76 () (tptp.isPrime0 tptp.xp)) % 18.42/18.66 (define @t77 () (tptp.sdtsldt0 @t74 tptp.xp)) % 18.42/18.66 (define @t78 () (= tptp.xk tptp.sz10)) % 18.42/18.66 (define @t79 () (= tptp.xk tptp.sz00)) % 18.42/18.66 (define @t80 () (tptp.isPrime0 tptp.xr)) % 18.42/18.66 (define @t81 () (tptp.doDivides0 tptp.xr tptp.xk)) % 18.42/18.66 (define @t82 () (tptp.aNaturalNumber0 tptp.xr)) % 18.42/18.66 (define @t83 () (tptp.doDivides0 tptp.xr @t74)) % 18.42/18.66 (define @t84 () (tptp.doDivides0 tptp.xr tptp.xn)) % 18.42/18.66 (define @t85 () (tptp.sdtsldt0 tptp.xn tptp.xr)) % 18.42/18.66 (define @t86 () (tptp.sdtasdt0 @t85 tptp.xm)) % 18.42/18.66 (define @t87 () (tptp.sdtasdt0 @t86 tptp.xr)) % 18.42/18.66 (define @t88 () (tptp.sdtsldt0 tptp.xk tptp.xr)) % 18.42/18.66 (define @t89 () (tptp.sdtasdt0 tptp.xp @t88)) % 18.42/18.66 (define @t90 () (not (= @t89 @t86))) % 18.42/18.66 (define @t91 () (@var "BOUND_VARIABLE_8041" $$unsorted)) % 18.42/18.66 (define @t92 () (and (tptp.aNaturalNumber0 @t91) (= @t4 (tptp.sdtasdt0 @t1 @t91)))) % 18.42/18.66 (define @t93 () (= @t92 (= @t91 @t45))) % 18.42/18.66 (define @t94 () (not @t44)) % 18.42/18.66 (define @t95 () (not @t6)) % 18.42/18.66 (define @t96 () (not @t2)) % 18.42/18.66 (define @t97 () (or @t96 @t95 @t29 @t94 @t93)) % 18.42/18.66 (define @t98 () (@list @t1 @t4 @t91)) % 18.42/18.66 (define @t99 () (forall @t98 @t97)) % 18.42/18.66 (define @t100 () (@list @t91)) % 18.42/18.66 (define @t101 () (forall @t100 @t97)) % 18.42/18.66 (define @t102 () (forall @t100 @t93)) % 18.42/18.66 (define @t103 () (@list @t13)) % 18.42/18.66 (define @t104 () (or @t96 @t95 @t29 @t94 @t102)) % 18.42/18.66 (define @t105 () (forall @t33 (= @t43 @t46))) % 18.42/18.66 (define @t106 () (or @t96 @t95 @t29 @t94 @t105)) % 18.42/18.66 (define @t107 () (or @t29 @t94 @t105)) % 18.42/18.66 (define @t108 () (or @t96 @t95)) % 18.42/18.66 (define @t109 () (or @t29 @t94)) % 18.42/18.66 (define @t110 () (not @t48)) % 18.42/18.66 (define @t111 () (=> @t48 @t105)) % 18.42/18.66 (define @t112 () (not @t7)) % 18.42/18.66 (define @t113 () (tptp.sdtsldt0 @t74 tptp.xr)) % 18.42/18.66 (define @t114 () (tptp.sdtasdt0 tptp.xr @t86)) % 18.42/18.66 (define @t115 () (= @t74 @t114)) % 18.42/18.66 (define @t116 () (tptp.aNaturalNumber0 @t86)) % 18.42/18.66 (define @t117 () (and @t116 @t115)) % 18.42/18.66 (define @t118 () (= @t117 (= @t113 @t86))) % 18.42/18.66 (define @t119 () (not @t83)) % 18.42/18.66 (define @t120 () (tptp.aNaturalNumber0 @t74)) % 18.42/18.66 (define @t121 () (not @t120)) % 18.42/18.66 (define @t122 () (not @t82)) % 18.42/18.66 (define @t123 () (= tptp.xr tptp.sz00)) % 18.42/18.66 (define @t124 () (or @t122 @t121 @t123 @t119 @t118)) % 18.42/18.66 (define @t125 () (forall @t98 (or @t96 @t95 @t29 @t94 (= @t92 (= @t45 @t91))))) % 18.42/18.66 (define @t126 () (= @t86 @t113)) % 18.42/18.66 (define @t127 () (= @t117 @t126)) % 18.42/18.66 (define @t128 () (= tptp.sz00 tptp.xr)) % 18.42/18.66 (define @t129 () (or @t122 @t121 @t128 @t119 @t127)) % 18.42/18.66 (define @t130 () (@list false)) % 18.42/18.66 (define @t131 () (@list @t125)) % 18.42/18.66 (define @t132 () (= tptp.sz10 @t4)) % 18.42/18.66 (define @t133 () (not @t60)) % 18.42/18.66 (define @t134 () (or @t95 @t133 @t132 @t35)) % 18.42/18.66 (define @t135 () (= @t67 (and @t30 @t65 (forall @t63 @t134)))) % 18.42/18.66 (define @t136 () (or @t132 @t35)) % 18.42/18.66 (define @t137 () (not (tptp.doDivides0 @t4 tptp.xr))) % 18.42/18.66 (define @t138 () (or @t95 @t137 @t132 (= tptp.xr @t4))) % 18.42/18.66 (define @t139 () (forall @t63 @t138)) % 18.42/18.66 (define @t140 () (not (= tptp.xr tptp.sz10))) % 18.42/18.66 (define @t141 () (not @t123)) % 18.42/18.66 (define @t142 () (and @t141 @t140 @t139)) % 18.42/18.66 (define @t143 () (= @t80 @t142)) % 18.42/18.66 (define @t144 () (or @t122 @t143)) % 18.42/18.66 (define @t145 () (forall @t3 (or @t96 @t135))) % 18.42/18.66 (define @t146 () (not @t128)) % 18.42/18.66 (define @t147 () (and @t146 (not (= tptp.sz10 tptp.xr)) (forall @t63 (or @t95 @t137 @t132 (= @t4 tptp.xr))))) % 18.42/18.66 (define @t148 () (= @t80 @t147)) % 18.42/18.66 (define @t149 () (or @t122 @t148)) % 18.42/18.66 (define @t150 () (@list @t145)) % 18.42/18.66 (define @t151 () (@list false false)) % 18.42/18.66 (define @t152 () (not @t72)) % 18.42/18.66 (define @t153 () (not @t73)) % 18.42/18.66 (define @t154 () (or @t153 @t152 @t120)) % 18.42/18.66 (define @t155 () (@list false false false)) % 18.42/18.66 (define @t156 () (@list false false false true false)) % 18.42/18.66 (define @t157 () (= @t86 @t89)) % 18.42/18.66 (define @t158 () (@var "BOUND_VARIABLE_8097" $$unsorted)) % 18.42/18.66 (define @t159 () (= (tptp.sdtasdt0 @t158 @t45) (tptp.sdtsldt0 (tptp.sdtasdt0 @t158 @t4) @t1))) % 18.42/18.66 (define @t160 () (not (tptp.aNaturalNumber0 @t158))) % 18.42/18.66 (define @t161 () (or @t96 @t95 @t29 @t94 @t160 @t159)) % 18.42/18.66 (define @t162 () (or @t160 @t159)) % 18.42/18.66 (define @t163 () (or @t96 @t95 @t29 @t94 @t162)) % 18.42/18.66 (define @t164 () (@list @t1 @t4 @t158)) % 18.42/18.66 (define @t165 () (forall @t164 @t163)) % 18.42/18.66 (define @t166 () (@list @t158)) % 18.42/18.66 (define @t167 () (forall @t166 @t163)) % 18.42/18.66 (define @t168 () (forall @t166 @t162)) % 18.42/18.66 (define @t169 () (or @t96 @t95 @t29 @t94 @t168)) % 18.42/18.66 (define @t170 () (forall @t33 (or (not @t16) @t54))) % 18.42/18.66 (define @t171 () (or @t96 @t95 @t29 @t94 @t170)) % 18.42/18.66 (define @t172 () (or @t29 @t94 @t170)) % 18.42/18.66 (define @t173 () (=> @t48 @t170)) % 18.42/18.66 (define @t174 () (tptp.sdtasdt0 tptp.xp (tptp.sdtsldt0 @t77 tptp.xr))) % 18.42/18.66 (define @t175 () (tptp.sdtasdt0 tptp.xp @t77)) % 18.42/18.66 (define @t176 () (tptp.sdtsldt0 @t175 tptp.xr)) % 18.42/18.66 (define @t177 () (not @t71)) % 18.42/18.66 (define @t178 () (tptp.doDivides0 tptp.xr @t77)) % 18.42/18.66 (define @t179 () (not @t178)) % 18.42/18.66 (define @t180 () (tptp.aNaturalNumber0 @t77)) % 18.42/18.66 (define @t181 () (not @t180)) % 18.42/18.66 (define @t182 () (or @t122 @t181 @t123 @t179 @t177 (= @t174 @t176))) % 18.42/18.66 (define @t183 () (forall @t164 @t161)) % 18.42/18.66 (define @t184 () (= @t176 @t174)) % 18.42/18.66 (define @t185 () (or @t122 @t181 @t128 @t179 @t177 @t184)) % 18.42/18.66 (define @t186 () (= @t74 @t175)) % 18.42/18.66 (define @t187 () (and @t180 @t186)) % 18.42/18.66 (define @t188 () (= @t77 @t77)) % 18.42/18.66 (define @t189 () (not @t75)) % 18.42/18.66 (define @t190 () (= tptp.xp tptp.sz00)) % 18.42/18.66 (define @t191 () (or @t177 @t121 @t190 @t189 (= @t187 @t188))) % 18.42/18.66 (define @t192 () (= tptp.sz00 tptp.xp)) % 18.42/18.66 (define @t193 () (or @t177 @t121 @t192 @t189 @t187)) % 18.42/18.66 (define @t194 () (not (tptp.doDivides0 @t4 tptp.xp))) % 18.42/18.66 (define @t195 () (or @t95 @t194 @t132 (= tptp.xp @t4))) % 18.42/18.66 (define @t196 () (forall @t63 @t195)) % 18.42/18.66 (define @t197 () (not (= tptp.xp tptp.sz10))) % 18.42/18.66 (define @t198 () (not @t190)) % 18.42/18.66 (define @t199 () (and @t198 @t197 @t196)) % 18.42/18.66 (define @t200 () (= @t76 @t199)) % 18.42/18.66 (define @t201 () (or @t177 @t200)) % 18.42/18.66 (define @t202 () (not @t192)) % 18.42/18.66 (define @t203 () (and @t202 (not (= tptp.sz10 tptp.xp)) (forall @t63 (or @t95 @t194 @t132 (= @t4 tptp.xp))))) % 18.42/18.66 (define @t204 () (= @t76 @t203)) % 18.42/18.66 (define @t205 () (or @t177 @t204)) % 18.42/18.66 (define @t206 () (not @t187)) % 18.42/18.66 (define @t207 () (@list @t187)) % 18.42/18.66 (define @t208 () (or @t96 @t95 @t20)) % 18.42/18.66 (define @t209 () (not @t116)) % 18.42/18.66 (define @t210 () (or @t122 @t209 (= @t114 @t87))) % 18.42/18.66 (define @t211 () (forall @t8 @t208)) % 18.42/18.66 (define @t212 () (= @t87 @t114)) % 18.42/18.66 (define @t213 () (or @t122 @t209 @t212)) % 18.42/18.66 (define @t214 () (tptp.aNaturalNumber0 @t85)) % 18.42/18.66 (define @t215 () (and @t214 (= tptp.xn (tptp.sdtasdt0 tptp.xr @t85)))) % 18.42/18.66 (define @t216 () (= @t215 (= @t85 @t85))) % 18.42/18.66 (define @t217 () (not @t84)) % 18.42/18.66 (define @t218 () (or @t122 @t153 @t123 @t217 @t216)) % 18.42/18.66 (define @t219 () (or @t122 @t153 @t128 @t217 @t215)) % 18.42/18.66 (define @t220 () (not @t214)) % 18.42/18.66 (define @t221 () (or @t220 @t152 @t116)) % 18.42/18.66 (assume @p1 (forall @t3 (=> @t2 true))) % 18.42/18.66 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 18.42/18.66 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 18.42/18.66 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 18.42/18.66 (assume @p5 @t11) % 18.42/18.66 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 18.42/18.66 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 18.42/18.66 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 18.42/18.66 (assume @p9 @t21) % 18.42/18.66 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))))) % 18.42/18.66 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 18.42/18.66 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 18.42/18.66 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t23)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t22)))))) % 18.42/18.66 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t5 @t26) (= @t12 @t25)) @t24)))) % 18.42/18.66 (assume @p15 (forall @t3 (=> @t2 (=> @t30 (forall (@list @t4 @t13) (=> (and @t6 @t16) (=> (or @t28 @t27) @t24))))))) % 18.42/18.66 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t29 @t31))))) % 18.42/18.66 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t29 @t31))))) % 18.42/18.66 (assume @p18 (forall @t8 (=> @t7 (= @t34 (exists @t33 @t32))))) % 18.42/18.66 (assume @p19 (forall @t8 (=> @t7 (=> @t34 (forall @t33 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t32)))))) % 18.42/18.66 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 18.42/18.66 (assume @p21 (forall @t8 (=> @t7 (=> (and @t34 @t36) @t35)))) % 18.42/18.66 (assume @p22 (forall @t18 (=> @t17 (=> (and @t34 @t37) (tptp.sdtlseqdt0 @t1 @t13))))) % 18.42/18.66 (assume @p23 (forall @t8 (=> @t7 (or @t34 (and (not @t38) @t36))))) % 18.42/18.66 (assume @p24 (forall @t8 (=> @t7 (=> @t40 (forall @t33 (=> @t16 (and (not (= @t25 @t39)) (tptp.sdtlseqdt0 @t25 @t39) (not (= @t26 @t14)) (tptp.sdtlseqdt0 @t26 @t14)))))))) % 18.42/18.66 (assume @p25 (forall @t18 (=> @t17 (=> (and @t30 (not @t24) @t37) (and (not @t28) (tptp.sdtlseqdt0 @t9 @t23) (not @t27) (tptp.sdtlseqdt0 @t19 @t22)))))) % 18.42/18.66 (assume @p26 (forall @t3 (=> @t2 (or @t29 @t41 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 18.42/18.66 (assume @p27 (forall @t8 (=> @t7 (=> @t30 (tptp.sdtlseqdt0 @t4 @t19))))) % 18.42/18.66 (assume @p28 (forall @t8 (=> @t7 (=> @t42 true)))) % 18.42/18.66 (assume @p29 (forall @t8 (=> @t7 (=> @t40 @t42)))) % 18.42/18.66 (assume @p30 (forall @t8 (=> @t7 (= @t44 (exists @t33 @t43))))) % 18.42/18.66 (assume @p31 @t51) % 18.42/18.66 (assume @p32 (forall @t18 (=> @t17 (=> (and @t44 (tptp.doDivides0 @t4 @t13)) @t52)))) % 18.42/18.66 (assume @p33 (forall @t18 (=> @t17 (=> (and @t44 @t52) @t53)))) % 18.42/18.66 (assume @p34 (forall @t18 (=> @t17 (=> (and @t44 @t53) @t52)))) % 18.42/18.66 (assume @p35 (forall @t8 (=> @t7 (=> (and @t44 (not @t31)) @t34)))) % 18.42/18.66 (assume @p36 @t58) % 18.42/18.66 (assume @p37 @t70) % 18.42/18.66 (assume @p38 (forall @t3 (=> (and @t2 @t30 @t65) (exists @t63 (and @t6 @t60 (tptp.isPrime0 @t4)))))) % 18.42/18.66 (assume @p39 (and @t73 @t72 @t71)) % 18.42/18.66 (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))))))) % 18.42/18.66 (assume @p41 (and @t76 @t75)) % 18.42/18.66 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 18.42/18.66 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 18.42/18.66 (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))) % 18.42/18.66 (assume @p45 (= tptp.xk @t77)) % 18.42/18.66 (assume @p46 (not (or @t79 @t78))) % 18.42/18.66 (assume @p47 (and (not @t79) (not @t78))) % 18.42/18.66 (assume @p48 (and @t82 @t81 @t80)) % 18.42/18.66 (assume @p49 (and (tptp.sdtlseqdt0 tptp.xr tptp.xk) @t83)) % 18.42/18.66 (assume @p50 (and (not (= tptp.xk tptp.xp)) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 18.42/18.66 (assume @p51 (or @t84 (tptp.doDivides0 tptp.xr tptp.xm))) % 18.42/18.66 (assume @p52 @t84) % 18.42/18.66 (assume @p53 (and (not (= @t85 tptp.xn)) (tptp.sdtlseqdt0 @t85 tptp.xn))) % 18.42/18.66 (assume @p54 (and (= @t87 @t74) (= @t74 (tptp.sdtasdt0 (tptp.sdtsldt0 (tptp.sdtasdt0 tptp.xp tptp.xk) tptp.xr) tptp.xr)))) % 18.42/18.66 (assume @p55 @t90) % 18.42/18.66 (assume @p56 true) % 18.42/18.66 (step @p57 :rule eq-symm :args (@t91 @t45)) % 18.42/18.66 (step @p58 :rule refl :args (@t92)) % 18.42/18.66 (step @p59 :rule cong :premises (@p58 @p57) :args (@t93)) % 18.42/18.66 (step @p60 :rule refl :args (@t94)) % 18.42/18.66 (step @p61 :rule refl :args (@t29)) % 18.42/18.66 (step @p62 :rule refl :args (@t95)) % 18.42/18.66 (step @p63 :rule refl :args (@t96)) % 18.42/18.66 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61 @p60 @p59) :args (@t97)) % 18.42/18.66 (step @p65 :rule cong :premises (@p64) :args (@t99)) % 18.42/18.66 (step @p66 :rule quant-merge-prenex :args ((= (forall @t8 @t101) @t99))) % 18.42/18.66 (step @p67 :rule alpha_equiv :args (@t102 (@list @t91) @t103)) % 18.42/18.66 (step @p68 :rule refl :args (@t94)) % 18.42/18.66 (step @p69 :rule refl :args (@t29)) % 18.42/18.66 (step @p70 :rule refl :args (@t95)) % 18.42/18.66 (step @p71 :rule refl :args (@t96)) % 18.42/18.66 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p68 @p67) :args (@t104)) % 18.42/18.66 (step @p73 :rule quant-miniscope-or :args ((= @t101 @t104))) % 18.42/18.66 (step @p74 :rule trans :premises (@p73 @p72)) % 18.42/18.66 (step @p75 :rule symm :premises (@p74)) % 18.42/18.66 (step @p76 :rule cong :premises (@p75) :args ((forall @t8 @t106))) % 18.42/18.66 (step @p77 :rule trans :premises (@p76 @p66)) % 18.42/18.66 (step @p78 :rule trans :premises (@p77 @p65)) % 18.42/18.66 (step @p79 :rule aci_norm :args ((= (or @t108 @t107) @t106))) % 18.42/18.66 (step @p80 :rule aci_norm :args ((= (or @t109 @t105) @t107))) % 18.42/18.66 (step @p81 :rule refl :args (@t105)) % 18.42/18.66 (step @p82 :rule bool-double-not-elim :args (@t29)) % 18.42/18.66 (step @p83 :rule nary_cong :premises (@p82 @p68) :args ((or (not @t30) @t94))) % 18.42/18.66 (step @p84 :rule bool-and-de-morgan :args (@t30 @t44 true)) % 18.42/18.66 (step @p85 :rule trans :premises (@p84 @p83)) % 18.42/18.66 (step @p86 :rule nary_cong :premises (@p85 @p81) :args ((or @t110 @t105))) % 18.42/18.66 (step @p87 :rule trans :premises (@p86 @p80)) % 18.42/18.66 (step @p88 :rule bool-impl-elim :args (@t48 @t105)) % 18.42/18.66 (step @p89 :rule trans :premises (@p88 @p87)) % 18.42/18.66 (step @p90 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 18.42/18.66 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t112 @t111))) % 18.42/18.66 (step @p92 :rule trans :premises (@p91 @p79)) % 18.42/18.66 (step @p93 :rule bool-impl-elim :args (@t7 @t111)) % 18.42/18.66 (step @p94 :rule trans :premises (@p93 @p92)) % 18.42/18.66 (step @p95 :rule cong :premises (@p94) :args ((forall @t8 (=> @t7 @t111)))) % 18.42/18.66 (step @p96 :rule trans :premises (@p95 @p78)) % 18.42/18.66 (step @p97 :rule eq-symm :args (@t46 @t43)) % 18.42/18.66 (step @p98 :rule cong :premises (@p97) :args (@t47)) % 18.42/18.66 (step @p99 :rule refl :args (@t48)) % 18.42/18.66 (step @p100 :rule cong :premises (@p99 @p98) :args (@t49)) % 18.42/18.66 (step @p101 :rule refl :args (@t7)) % 18.42/18.66 (step @p102 :rule cong :premises (@p101 @p100) :args (@t50)) % 18.42/18.66 (step @p103 :rule cong :premises (@p102) :args (@t51)) % 18.42/18.66 (step @p104 :rule trans :premises (@p103 @p96)) % 18.42/18.66 (step @p105 :rule eq_resolve :premises (@p31 @p104)) % 18.42/18.66 (step @p106 :rule eq-symm :args (@t113 @t86)) % 18.42/18.66 (step @p107 :rule refl :args (@t117)) % 18.42/18.66 (step @p108 :rule cong :premises (@p107 @p106) :args (@t118)) % 18.42/18.66 (step @p109 :rule refl :args (@t119)) % 18.42/18.66 (step @p110 :rule eq-symm :args (tptp.xr tptp.sz00)) % 18.42/18.66 (step @p111 :rule refl :args (@t121)) % 18.42/18.66 (step @p112 :rule refl :args (@t122)) % 18.42/18.66 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109 @p108) :args (@t124)) % 18.42/18.66 (step @p114 :rule refl :args (@t125)) % 18.42/18.66 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t125 @t124))) % 18.42/18.66 (assume-push @p386 @t125) % 18.42/18.66 (step @p117 :rule instantiate :premises (@p105) :args ((@list tptp.xr @t74 @t86))) % 18.42/18.66 (step-pop @p387 :rule scope :premises (@p117)) % 18.42/18.66 (step @p118 :rule process_scope :premises (@p387) :args (@t124)) % 18.42/18.66 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 18.42/18.66 (step @p121 :rule implies_elim :premises (@p120)) % 18.42/18.66 (step @p122 :rule chain_m_resolution :premises (@p121 @p105) :args (@t129 @t130 @t131)) % 18.42/18.66 (step @p123 :rule bool-impl-elim :args (@t2 @t135)) % 18.42/18.66 (step @p124 :rule cong :premises (@p123) :args ((forall @t3 (=> @t2 @t135)))) % 18.42/18.66 (step @p125 :rule aci_norm :args ((= (or (or @t95 @t133) @t136) @t134))) % 18.42/18.66 (step @p126 :rule refl :args (@t136)) % 18.42/18.66 (step @p127 :rule bool-and-de-morgan :args (@t6 @t60 true)) % 18.42/18.66 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or (not @t61) @t136))) % 18.42/18.66 (step @p129 :rule trans :premises (@p128 @p125)) % 18.42/18.66 (step @p130 :rule bool-impl-elim :args (@t61 @t136)) % 18.42/18.66 (step @p131 :rule trans :premises (@p130 @p129)) % 18.42/18.66 (step @p132 :rule cong :premises (@p131) :args ((forall @t63 (=> @t61 @t136)))) % 18.42/18.66 (step @p133 :rule eq-symm :args (@t4 @t1)) % 18.42/18.66 (step @p134 :rule eq-symm :args (@t4 tptp.sz10)) % 18.42/18.66 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t59)) % 18.42/18.66 (step @p136 :rule refl :args (@t61)) % 18.42/18.66 (step @p137 :rule cong :premises (@p136 @p135) :args (@t62)) % 18.42/18.66 (step @p138 :rule cong :premises (@p137) :args (@t64)) % 18.42/18.66 (step @p139 :rule trans :premises (@p138 @p132)) % 18.42/18.66 (step @p140 :rule refl :args (@t65)) % 18.42/18.66 (step @p141 :rule refl :args (@t30)) % 18.42/18.66 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139) :args (@t66)) % 18.42/18.66 (step @p143 :rule refl :args (@t67)) % 18.42/18.66 (step @p144 :rule cong :premises (@p143 @p142) :args (@t68)) % 18.42/18.66 (step @p145 :rule refl :args (@t2)) % 18.42/18.66 (step @p146 :rule cong :premises (@p145 @p144) :args (@t69)) % 18.42/18.66 (step @p147 :rule cong :premises (@p146) :args (@t70)) % 18.42/18.66 (step @p148 :rule trans :premises (@p147 @p124)) % 18.42/18.66 (step @p149 :rule eq_resolve :premises (@p37 @p148)) % 18.42/18.66 (step @p150 :rule eq-symm :args (tptp.xr @t4)) % 18.42/18.66 (step @p151 :rule refl :args (@t132)) % 18.42/18.66 (step @p152 :rule refl :args (@t137)) % 18.42/18.66 (step @p153 :rule nary_cong :premises (@p62 @p152 @p151 @p150) :args (@t138)) % 18.42/18.66 (step @p154 :rule cong :premises (@p153) :args (@t139)) % 18.42/18.66 (step @p155 :rule eq-symm :args (tptp.xr tptp.sz10)) % 18.42/18.66 (step @p156 :rule cong :premises (@p155) :args (@t140)) % 18.42/18.66 (step @p157 :rule cong :premises (@p110) :args (@t141)) % 18.42/18.66 (step @p158 :rule nary_cong :premises (@p157 @p156 @p154) :args (@t142)) % 18.42/18.66 (step @p159 :rule refl :args (@t80)) % 18.42/18.66 (step @p160 :rule cong :premises (@p159 @p158) :args (@t143)) % 18.42/18.66 (step @p161 :rule nary_cong :premises (@p112 @p160) :args (@t144)) % 18.42/18.66 (step @p162 :rule refl :args (@t145)) % 18.42/18.66 (step @p163 :rule cong :premises (@p162 @p161) :args ((=> @t145 @t144))) % 18.42/18.66 (assume-push @p388 @t145) % 18.42/18.66 (step @p165 :rule instantiate :premises (@p149) :args ((@list tptp.xr))) % 18.42/18.66 (step-pop @p389 :rule scope :premises (@p165)) % 18.42/18.66 (step @p166 :rule process_scope :premises (@p389) :args (@t144)) % 18.42/18.66 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 18.42/18.66 (step @p169 :rule implies_elim :premises (@p168)) % 18.42/18.66 (step @p170 :rule chain_m_resolution :premises (@p169 @p149) :args (@t149 @t130 @t150)) % 18.42/18.66 (step @p171 :rule and_elim :premises (@p48) :args (0)) % 18.42/18.66 (step @p172 :rule cnf_or_pos :args (@t149)) % 18.42/18.66 (step @p173 :rule reordering :premises (@p172) :args ((or @t122 @t148 (not @t149)))) % 18.42/18.66 (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p170) :args (@t148 @t151 (@list @t82 @t149))) % 18.42/18.66 (step @p175 :rule and_elim :premises (@p48) :args (2)) % 18.42/18.66 (step @p176 :rule cnf_equiv_pos1 :args (@t148)) % 18.42/18.66 (step @p177 :rule reordering :premises (@p176) :args ((or (not @t80) @t147 (not @t148)))) % 18.42/18.66 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p174) :args (@t147 @t151 (@list @t80 @t148))) % 18.42/18.66 (step @p179 :rule cnf_and_pos :args (@t147 0)) % 18.42/18.66 (step @p180 :rule reordering :premises (@p179) :args ((or @t146 (not @t147)))) % 18.42/18.66 (step @p181 :rule chain_m_resolution :premises (@p180 @p178) :args (@t146 @t130 (@list @t147))) % 18.42/18.66 (step @p182 :rule aci_norm :args ((= (or @t108 @t10) (or @t96 @t95 @t10)))) % 18.42/18.66 (step @p183 :rule refl :args (@t10)) % 18.42/18.66 (step @p184 :rule nary_cong :premises (@p90 @p183) :args ((or @t112 @t10))) % 18.42/18.66 (step @p185 :rule trans :premises (@p184 @p182)) % 18.42/18.66 (step @p186 :rule bool-impl-elim :args (@t7 @t10)) % 18.42/18.66 (step @p187 :rule trans :premises (@p186 @p185)) % 18.42/18.66 (step @p188 :rule cong :premises (@p187) :args (@t11)) % 18.42/18.66 (step @p189 :rule eq_resolve :premises (@p5 @p188)) % 18.42/18.66 (step @p190 :rule instantiate :premises (@p189) :args ((@list tptp.xn tptp.xm))) % 18.42/18.66 (step @p191 :rule and_elim :premises (@p39) :args (1)) % 18.42/18.66 (step @p192 :rule and_elim :premises (@p39) :args (0)) % 18.42/18.66 (step @p193 :rule cnf_or_pos :args (@t154)) % 18.42/18.66 (step @p194 :rule reordering :premises (@p193) :args ((or @t153 @t152 @t120 (not @t154)))) % 18.42/18.66 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p191 @p190) :args (@t120 @t155 (@list @t73 @t72 @t154))) % 18.42/18.66 (step @p196 :rule and_elim :premises (@p49) :args (1)) % 18.42/18.66 (step @p197 :rule cnf_or_pos :args (@t129)) % 18.42/18.66 (step @p198 :rule reordering :premises (@p197) :args ((or @t122 @t119 @t121 @t128 @t127 (not @t129)))) % 18.42/18.66 (step @p199 :rule chain_m_resolution :premises (@p198 @p171 @p196 @p195 @p181 @p122) :args (@t127 @t156 (@list @t82 @t83 @t120 @t128 @t129))) % 18.42/18.66 (step @p200 :rule refl :args (tptp.xr)) % 18.42/18.66 (step @p201 :rule cong :premises (@p45 @p200) :args (@t88)) % 18.42/18.66 (step @p202 :rule refl :args (tptp.xp)) % 18.42/18.66 (step @p203 :rule cong :premises (@p202 @p201) :args (@t89)) % 18.42/18.66 (step @p204 :rule refl :args (@t86)) % 18.42/18.66 (step @p205 :rule cong :premises (@p204 @p203) :args (@t157)) % 18.42/18.66 (step @p206 :rule cong :premises (@p205) :args ((not @t157))) % 18.42/18.66 (step @p207 :rule eq-symm :args (@t89 @t86)) % 18.42/18.66 (step @p208 :rule cong :premises (@p207) :args (@t90)) % 18.42/18.66 (step @p209 :rule trans :premises (@p208 @p206)) % 18.42/18.66 (step @p210 :rule eq_resolve :premises (@p55 @p209)) % 18.42/18.66 (step @p211 :rule false_intro :premises (@p210)) % 18.42/18.66 (step @p212 :rule aci_norm :args ((= @t163 @t161))) % 18.42/18.66 (step @p213 :rule cong :premises (@p212) :args (@t165)) % 18.42/18.66 (step @p214 :rule quant-merge-prenex :args ((= (forall @t8 @t167) @t165))) % 18.42/18.66 (step @p215 :rule alpha_equiv :args (@t168 (@list @t158) @t103)) % 18.42/18.66 (step @p216 :rule nary_cong :premises (@p71 @p70 @p69 @p68 @p215) :args (@t169)) % 18.42/18.66 (step @p217 :rule quant-miniscope-or :args ((= @t167 @t169))) % 18.42/18.66 (step @p218 :rule trans :premises (@p217 @p216)) % 18.42/18.66 (step @p219 :rule symm :premises (@p218)) % 18.42/18.66 (step @p220 :rule cong :premises (@p219) :args ((forall @t8 @t171))) % 18.42/18.66 (step @p221 :rule trans :premises (@p220 @p214)) % 18.42/18.66 (step @p222 :rule trans :premises (@p221 @p213)) % 18.42/18.66 (step @p223 :rule aci_norm :args ((= (or @t108 @t172) @t171))) % 18.42/18.66 (step @p224 :rule aci_norm :args ((= (or @t109 @t170) @t172))) % 18.42/18.66 (step @p225 :rule refl :args (@t170)) % 18.42/18.66 (step @p226 :rule nary_cong :premises (@p85 @p225) :args ((or @t110 @t170))) % 18.42/18.66 (step @p227 :rule trans :premises (@p226 @p224)) % 18.42/18.66 (step @p228 :rule bool-impl-elim :args (@t48 @t170)) % 18.42/18.66 (step @p229 :rule trans :premises (@p228 @p227)) % 18.42/18.66 (step @p230 :rule nary_cong :premises (@p90 @p229) :args ((or @t112 @t173))) % 18.42/18.66 (step @p231 :rule trans :premises (@p230 @p223)) % 18.42/18.66 (step @p232 :rule bool-impl-elim :args (@t7 @t173)) % 18.42/18.66 (step @p233 :rule trans :premises (@p232 @p231)) % 18.42/18.66 (step @p234 :rule cong :premises (@p233) :args ((forall @t8 (=> @t7 @t173)))) % 18.42/18.66 (step @p235 :rule trans :premises (@p234 @p222)) % 18.42/18.66 (step @p236 :rule bool-impl-elim :args (@t16 @t54)) % 18.42/18.66 (step @p237 :rule cong :premises (@p236) :args (@t55)) % 18.42/18.66 (step @p238 :rule cong :premises (@p99 @p237) :args (@t56)) % 18.42/18.66 (step @p239 :rule cong :premises (@p101 @p238) :args (@t57)) % 18.42/18.66 (step @p240 :rule cong :premises (@p239) :args (@t58)) % 18.42/18.66 (step @p241 :rule trans :premises (@p240 @p235)) % 18.42/18.66 (step @p242 :rule eq_resolve :premises (@p36 @p241)) % 18.42/18.66 (step @p243 :rule eq-symm :args (@t174 @t176)) % 18.42/18.66 (step @p244 :rule refl :args (@t177)) % 18.42/18.66 (step @p245 :rule refl :args (@t179)) % 18.42/18.66 (step @p246 :rule refl :args (@t181)) % 18.42/18.66 (step @p247 :rule nary_cong :premises (@p112 @p246 @p110 @p245 @p244 @p243) :args (@t182)) % 18.42/18.66 (step @p248 :rule refl :args (@t183)) % 18.42/18.66 (step @p249 :rule cong :premises (@p248 @p247) :args ((=> @t183 @t182))) % 18.42/18.66 (assume-push @p390 @t183) % 18.42/18.66 (step @p251 :rule instantiate :premises (@p242) :args ((@list tptp.xr @t77 tptp.xp))) % 18.42/18.66 (step-pop @p391 :rule scope :premises (@p251)) % 18.42/18.66 (step @p252 :rule process_scope :premises (@p391) :args (@t182)) % 18.42/18.66 (step @p254 :rule eq_resolve :premises (@p252 @p249)) % 18.42/18.66 (step @p255 :rule implies_elim :premises (@p254)) % 18.42/18.66 (step @p256 :rule chain_m_resolution :premises (@p255 @p242) :args (@t185 @t130 (@list @t183))) % 18.42/18.66 (step @p257 :rule bool-eq-true :args (@t187)) % 18.42/18.66 (step @p258 :rule eq-symm :args (true @t187)) % 18.42/18.66 (step @p259 :rule trans :premises (@p258 @p257)) % 18.42/18.66 (step @p260 :rule refl :args (@t187)) % 18.42/18.66 (step @p261 :rule eq-refl :args (@t77)) % 18.42/18.66 (step @p262 :rule cong :premises (@p261 @p260) :args ((= @t188 @t187))) % 18.42/18.66 (step @p263 :rule trans :premises (@p262 @p259)) % 18.42/18.66 (step @p264 :rule eq-symm :args (@t187 @t188)) % 18.42/18.66 (step @p265 :rule trans :premises (@p264 @p263)) % 18.42/18.66 (step @p266 :rule refl :args (@t189)) % 18.42/18.66 (step @p267 :rule eq-symm :args (tptp.xp tptp.sz00)) % 18.42/18.66 (step @p268 :rule nary_cong :premises (@p244 @p111 @p267 @p266 @p265) :args (@t191)) % 18.42/18.66 (step @p269 :rule cong :premises (@p114 @p268) :args ((=> @t125 @t191))) % 18.42/18.66 (assume-push @p392 @t125) % 18.42/18.66 (step @p271 :rule instantiate :premises (@p105) :args ((@list tptp.xp @t74 @t77))) % 18.42/18.66 (step-pop @p393 :rule scope :premises (@p271)) % 18.42/18.66 (step @p272 :rule process_scope :premises (@p393) :args (@t191)) % 18.42/18.66 (step @p274 :rule eq_resolve :premises (@p272 @p269)) % 18.42/18.66 (step @p275 :rule implies_elim :premises (@p274)) % 18.42/18.66 (step @p276 :rule chain_m_resolution :premises (@p275 @p105) :args (@t193 @t130 @t131)) % 18.42/18.66 (step @p277 :rule eq-symm :args (tptp.xp @t4)) % 18.42/18.66 (step @p278 :rule refl :args (@t194)) % 18.42/18.66 (step @p279 :rule nary_cong :premises (@p62 @p278 @p151 @p277) :args (@t195)) % 18.42/18.66 (step @p280 :rule cong :premises (@p279) :args (@t196)) % 18.42/18.66 (step @p281 :rule eq-symm :args (tptp.xp tptp.sz10)) % 18.42/18.66 (step @p282 :rule cong :premises (@p281) :args (@t197)) % 18.42/18.66 (step @p283 :rule cong :premises (@p267) :args (@t198)) % 18.42/18.66 (step @p284 :rule nary_cong :premises (@p283 @p282 @p280) :args (@t199)) % 18.42/18.66 (step @p285 :rule refl :args (@t76)) % 18.42/18.66 (step @p286 :rule cong :premises (@p285 @p284) :args (@t200)) % 18.42/18.66 (step @p287 :rule nary_cong :premises (@p244 @p286) :args (@t201)) % 18.42/18.66 (step @p288 :rule cong :premises (@p162 @p287) :args ((=> @t145 @t201))) % 18.42/18.66 (assume-push @p394 @t145) % 18.42/18.66 (step @p290 :rule instantiate :premises (@p149) :args ((@list tptp.xp))) % 18.42/18.66 (step-pop @p395 :rule scope :premises (@p290)) % 18.42/18.66 (step @p291 :rule process_scope :premises (@p395) :args (@t201)) % 18.42/18.66 (step @p293 :rule eq_resolve :premises (@p291 @p288)) % 18.42/18.66 (step @p294 :rule implies_elim :premises (@p293)) % 18.42/18.66 (step @p295 :rule chain_m_resolution :premises (@p294 @p149) :args (@t205 @t130 @t150)) % 18.42/18.66 (step @p296 :rule and_elim :premises (@p39) :args (2)) % 18.42/18.66 (step @p297 :rule cnf_or_pos :args (@t205)) % 18.42/18.66 (step @p298 :rule reordering :premises (@p297) :args ((or @t177 @t204 (not @t205)))) % 18.42/18.66 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p295) :args (@t204 @t151 (@list @t71 @t205))) % 18.42/18.66 (step @p300 :rule and_elim :premises (@p41) :args (0)) % 18.42/18.66 (step @p301 :rule cnf_equiv_pos1 :args (@t204)) % 18.42/18.66 (step @p302 :rule reordering :premises (@p301) :args ((or (not @t76) @t203 (not @t204)))) % 18.42/18.66 (step @p303 :rule chain_m_resolution :premises (@p302 @p300 @p299) :args (@t203 @t151 (@list @t76 @t204))) % 18.42/18.66 (step @p304 :rule cnf_and_pos :args (@t203 0)) % 18.42/18.66 (step @p305 :rule reordering :premises (@p304) :args ((or @t202 (not @t203)))) % 18.42/18.66 (step @p306 :rule chain_m_resolution :premises (@p305 @p303) :args (@t202 @t130 (@list @t203))) % 18.42/18.66 (step @p307 :rule and_elim :premises (@p41) :args (1)) % 18.42/18.66 (step @p308 :rule cnf_or_pos :args (@t193)) % 18.42/18.66 (step @p309 :rule reordering :premises (@p308) :args ((or @t177 @t189 @t192 @t121 @t187 (not @t193)))) % 18.42/18.66 (step @p310 :rule chain_m_resolution :premises (@p309 @p296 @p307 @p306 @p195 @p276) :args (@t187 (@list false false true false false) (@list @t71 @t75 @t192 @t120 @t193))) % 18.42/18.66 (step @p311 :rule cnf_and_pos :args (@t187 0)) % 18.42/18.66 (step @p312 :rule reordering :premises (@p311) :args ((or @t180 @t206))) % 18.42/18.66 (step @p313 :rule chain_m_resolution :premises (@p312 @p310) :args (@t180 @t130 @t207)) % 18.42/18.66 (step @p314 :rule cong :premises (@p200 @p45) :args (@t81)) % 18.42/18.66 (step @p315 :rule and_elim :premises (@p48) :args (1)) % 18.42/18.66 (step @p316 :rule eq_resolve :premises (@p315 @p314)) % 18.42/18.66 (step @p317 :rule cnf_or_pos :args (@t185)) % 18.42/18.66 (step @p318 :rule reordering :premises (@p317) :args ((or @t177 @t122 @t179 @t181 @t128 @t184 (not @t185)))) % 18.42/18.66 (step @p319 :rule chain_m_resolution :premises (@p318 @p296 @p171 @p316 @p313 @p181 @p256) :args (@t184 (@list false false false false true false) (@list @t71 @t82 @t178 @t180 @t128 @t185))) % 18.42/18.66 (step @p320 :rule cnf_and_pos :args (@t187 1)) % 18.42/18.66 (step @p321 :rule reordering :premises (@p320) :args ((or @t186 @t206))) % 18.42/18.66 (step @p322 :rule chain_m_resolution :premises (@p321 @p310) :args (@t186 @t130 @t207)) % 18.42/18.66 (step @p323 :rule cong :premises (@p322 @p200) :args (@t113)) % 18.42/18.66 (step @p324 :rule trans :premises (@p323 @p319)) % 18.42/18.66 (step @p325 :rule cong :premises (@p204 @p324) :args (@t126)) % 18.42/18.66 (step @p326 :rule trans :premises (@p325 @p211)) % 18.42/18.66 (step @p327 :rule false_elim :premises (@p326)) % 18.42/18.66 (step @p328 :rule aci_norm :args ((= (or @t108 @t20) @t208))) % 18.42/18.66 (step @p329 :rule refl :args (@t20)) % 18.42/18.66 (step @p330 :rule nary_cong :premises (@p90 @p329) :args ((or @t112 @t20))) % 18.42/18.66 (step @p331 :rule trans :premises (@p330 @p328)) % 18.42/18.66 (step @p332 :rule bool-impl-elim :args (@t7 @t20)) % 18.42/18.66 (step @p333 :rule trans :premises (@p332 @p331)) % 18.42/18.66 (step @p334 :rule cong :premises (@p333) :args (@t21)) % 18.42/18.66 (step @p335 :rule eq_resolve :premises (@p9 @p334)) % 18.42/18.66 (step @p336 :rule eq-symm :args (@t114 @t87)) % 18.42/18.66 (step @p337 :rule refl :args (@t209)) % 18.42/18.66 (step @p338 :rule nary_cong :premises (@p112 @p337 @p336) :args (@t210)) % 18.42/18.66 (step @p339 :rule refl :args (@t211)) % 18.42/18.66 (step @p340 :rule cong :premises (@p339 @p338) :args ((=> @t211 @t210))) % 18.42/18.66 (assume-push @p396 @t211) % 18.42/18.66 (step @p342 :rule instantiate :premises (@p335) :args ((@list tptp.xr @t86))) % 18.42/18.66 (step-pop @p397 :rule scope :premises (@p342)) % 18.42/18.66 (step @p343 :rule process_scope :premises (@p397) :args (@t210)) % 18.42/18.66 (step @p345 :rule eq_resolve :premises (@p343 @p340)) % 18.42/18.66 (step @p346 :rule implies_elim :premises (@p345)) % 18.42/18.66 (step @p347 :rule chain_m_resolution :premises (@p346 @p335) :args (@t213 @t130 (@list @t211))) % 18.42/18.66 (step @p348 :rule instantiate :premises (@p189) :args ((@list @t85 tptp.xm))) % 18.42/18.66 (step @p349 :rule bool-eq-true :args (@t215)) % 18.42/18.66 (step @p350 :rule eq-refl :args (@t85)) % 18.42/18.66 (step @p351 :rule refl :args (@t215)) % 18.42/18.66 (step @p352 :rule cong :premises (@p351 @p350) :args (@t216)) % 18.42/18.66 (step @p353 :rule trans :premises (@p352 @p349)) % 18.42/18.66 (step @p354 :rule refl :args (@t217)) % 18.42/18.66 (step @p355 :rule refl :args (@t153)) % 18.42/18.66 (step @p356 :rule nary_cong :premises (@p112 @p355 @p110 @p354 @p353) :args (@t218)) % 18.42/18.66 (step @p357 :rule cong :premises (@p114 @p356) :args ((=> @t125 @t218))) % 18.42/18.66 (assume-push @p398 @t125) % 18.42/18.66 (step @p359 :rule instantiate :premises (@p105) :args ((@list tptp.xr tptp.xn @t85))) % 18.42/18.66 (step-pop @p399 :rule scope :premises (@p359)) % 18.42/18.66 (step @p360 :rule process_scope :premises (@p399) :args (@t218)) % 18.42/18.66 (step @p362 :rule eq_resolve :premises (@p360 @p357)) % 18.42/18.66 (step @p363 :rule implies_elim :premises (@p362)) % 18.42/18.66 (step @p364 :rule chain_m_resolution :premises (@p363 @p105) :args (@t219 @t130 @t131)) % 18.42/18.66 (step @p365 :rule cnf_or_pos :args (@t219)) % 18.42/18.66 (step @p366 :rule reordering :premises (@p365) :args ((or @t217 @t153 @t122 @t128 @t215 (not @t219)))) % 18.42/18.66 (step @p367 :rule chain_m_resolution :premises (@p366 @p52 @p192 @p171 @p181 @p364) :args (@t215 @t156 (@list @t84 @t73 @t82 @t128 @t219))) % 18.42/18.66 (step @p368 :rule cnf_and_pos :args (@t215 0)) % 18.42/18.66 (step @p369 :rule reordering :premises (@p368) :args ((or @t214 (not @t215)))) % 18.42/18.66 (step @p370 :rule chain_m_resolution :premises (@p369 @p367) :args (@t214 @t130 (@list @t215))) % 18.42/18.66 (step @p371 :rule cnf_or_pos :args (@t221)) % 18.42/18.66 (step @p372 :rule reordering :premises (@p371) :args ((or @t152 @t220 @t116 (not @t221)))) % 18.42/18.66 (step @p373 :rule chain_m_resolution :premises (@p372 @p191 @p370 @p348) :args (@t116 @t155 (@list @t72 @t214 @t221))) % 18.42/18.66 (step @p374 :rule cnf_or_pos :args (@t213)) % 18.42/18.66 (step @p375 :rule reordering :premises (@p374) :args ((or @t122 @t209 @t212 (not @t213)))) % 18.42/18.66 (step @p376 :rule chain_m_resolution :premises (@p375 @p171 @p373 @p347) :args (@t212 @t155 (@list @t82 @t116 @t213))) % 18.42/18.66 (step @p377 :rule and_elim :premises (@p54) :args (0)) % 18.42/18.66 (step @p378 :rule symm :premises (@p377)) % 18.42/18.66 (step @p379 :rule trans :premises (@p378 @p376)) % 18.42/18.66 (step @p380 :rule cnf_and_neg :args (@t117)) % 18.42/18.66 (step @p381 :rule reordering :premises (@p380) :args ((or @t209 @t117 (not @t115)))) % 18.42/18.66 (step @p382 :rule chain_m_resolution :premises (@p381 @p373 @p379) :args (@t117 @t151 (@list @t116 @t115))) % 18.42/18.66 (step @p383 :rule cnf_equiv_pos1 :args (@t127)) % 18.42/18.66 (step @p384 :rule reordering :premises (@p383) :args ((or @t126 (not @t117) (not @t127)))) % 18.42/18.66 (step @p385 false :rule chain_m_resolution :premises (@p384 @p382 @p327 @p199) :args (false (@list false true false) (@list @t117 @t126 @t127))) % 18.42/18.66 ) % 18.42/18.66 % SZS output end Proof % 18.42/18.66 % cvc5 exiting %------------------------------------------------------------------------------