%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM507+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 : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:39 AM UTC 2026 % Result : Theorem 16.68s 16.90s % Output : Proof 16.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM507+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 06:25:30 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 16.68/16.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.68/16.90 --- Run --no-e-matching --full-saturate-quant at 6... % 16.68/16.90 % SZS status Theorem % 16.68/16.90 % SZS output start Proof % 16.68/16.90 ( % 16.68/16.90 (declare-sort $$unsorted 0) % 16.68/16.90 (declare-const tptp.xr $$unsorted) % 16.68/16.90 (declare-const tptp.xk $$unsorted) % 16.68/16.90 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 16.68/16.90 (declare-const tptp.xm $$unsorted) % 16.68/16.90 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.68/16.90 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 16.68/16.90 (declare-const tptp.xn $$unsorted) % 16.68/16.90 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 16.68/16.90 (declare-const tptp.sz00 $$unsorted) % 16.68/16.90 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.68/16.90 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.68/16.90 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.68/16.90 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.68/16.90 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 16.68/16.90 (declare-const tptp.sz10 $$unsorted) % 16.68/16.90 (declare-const tptp.xp $$unsorted) % 16.68/16.90 (define @t1 () (@var "W0" $$unsorted)) % 16.68/16.90 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 16.68/16.90 (define @t3 () (@list @t1)) % 16.68/16.90 (define @t4 () (@var "W1" $$unsorted)) % 16.68/16.90 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 16.68/16.90 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 16.68/16.90 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 16.68/16.90 (define @t8 () (and @t2 @t7)) % 16.68/16.90 (define @t9 () (@list @t1 @t4)) % 16.68/16.90 (define @t10 () (forall @t9 (=> @t8 @t6))) % 16.68/16.90 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 16.68/16.90 (define @t12 () (tptp.aNaturalNumber0 @t11)) % 16.68/16.90 (define @t13 () (forall @t9 (=> @t8 @t12))) % 16.68/16.90 (define @t14 () (tptp.sdtpldt0 @t4 @t1)) % 16.68/16.90 (define @t15 () (@var "W2" $$unsorted)) % 16.68/16.90 (define @t16 () (tptp.sdtpldt0 @t4 @t15)) % 16.68/16.90 (define @t17 () (tptp.sdtpldt0 @t5 @t15)) % 16.68/16.90 (define @t18 () (tptp.aNaturalNumber0 @t15)) % 16.68/16.90 (define @t19 () (and @t2 @t7 @t18)) % 16.68/16.90 (define @t20 () (@list @t1 @t4 @t15)) % 16.68/16.90 (define @t21 () (tptp.sdtasdt0 @t4 @t1)) % 16.68/16.90 (define @t22 () (tptp.sdtasdt0 @t15 @t1)) % 16.68/16.90 (define @t23 () (tptp.sdtasdt0 @t1 @t15)) % 16.68/16.90 (define @t24 () (= @t4 @t15)) % 16.68/16.90 (define @t25 () (tptp.sdtpldt0 @t15 @t1)) % 16.68/16.90 (define @t26 () (= @t14 @t25)) % 16.68/16.90 (define @t27 () (tptp.sdtpldt0 @t1 @t15)) % 16.68/16.90 (define @t28 () (= @t5 @t27)) % 16.68/16.90 (define @t29 () (or @t28 @t26)) % 16.68/16.90 (define @t30 () (=> @t29 @t24)) % 16.68/16.90 (define @t31 () (forall @t20 (=> @t19 @t30))) % 16.68/16.90 (define @t32 () (= @t21 @t22)) % 16.68/16.90 (define @t33 () (= @t11 @t23)) % 16.68/16.90 (define @t34 () (and @t7 @t18)) % 16.68/16.90 (define @t35 () (= @t1 tptp.sz00)) % 16.68/16.90 (define @t36 () (not @t35)) % 16.68/16.90 (define @t37 () (= @t4 tptp.sz00)) % 16.68/16.90 (define @t38 () (and @t18 (= @t27 @t4))) % 16.68/16.90 (define @t39 () (@list @t15)) % 16.68/16.90 (define @t40 () (tptp.sdtlseqdt0 @t1 @t4)) % 16.68/16.90 (define @t41 () (= @t1 @t4)) % 16.68/16.90 (define @t42 () (tptp.sdtlseqdt0 @t4 @t1)) % 16.68/16.90 (define @t43 () (and @t40 @t42)) % 16.68/16.90 (define @t44 () (=> @t43 @t41)) % 16.68/16.90 (define @t45 () (forall @t9 (=> @t8 @t44))) % 16.68/16.90 (define @t46 () (tptp.sdtlseqdt0 @t1 @t15)) % 16.68/16.90 (define @t47 () (tptp.sdtlseqdt0 @t4 @t15)) % 16.68/16.90 (define @t48 () (and @t40 @t47)) % 16.68/16.90 (define @t49 () (=> @t48 @t46)) % 16.68/16.90 (define @t50 () (forall @t20 (=> @t19 @t49))) % 16.68/16.90 (define @t51 () (= @t4 @t1)) % 16.68/16.90 (define @t52 () (tptp.sdtlseqdt0 @t27 @t16)) % 16.68/16.90 (define @t53 () (not (= @t27 @t16))) % 16.68/16.90 (define @t54 () (tptp.sdtpldt0 @t15 @t4)) % 16.68/16.90 (define @t55 () (tptp.sdtlseqdt0 @t25 @t54)) % 16.68/16.90 (define @t56 () (not (= @t25 @t54))) % 16.68/16.90 (define @t57 () (and @t56 @t55 @t53 @t52)) % 16.68/16.90 (define @t58 () (=> @t18 @t57)) % 16.68/16.90 (define @t59 () (forall @t39 @t58)) % 16.68/16.90 (define @t60 () (not @t41)) % 16.68/16.90 (define @t61 () (and @t60 @t40)) % 16.68/16.90 (define @t62 () (=> @t61 @t59)) % 16.68/16.90 (define @t63 () (=> @t8 @t62)) % 16.68/16.90 (define @t64 () (forall @t9 @t63)) % 16.68/16.90 (define @t65 () (= @t1 tptp.sz10)) % 16.68/16.90 (define @t66 () (tptp.iLess0 @t1 @t4)) % 16.68/16.90 (define @t67 () (and @t18 (= @t4 @t23))) % 16.68/16.90 (define @t68 () (tptp.doDivides0 @t1 @t4)) % 16.68/16.90 (define @t69 () (tptp.sdtsldt0 @t4 @t1)) % 16.68/16.90 (define @t70 () (= @t15 @t69)) % 16.68/16.90 (define @t71 () (forall @t39 (= @t70 @t67))) % 16.68/16.90 (define @t72 () (and @t36 @t68)) % 16.68/16.90 (define @t73 () (=> @t72 @t71)) % 16.68/16.90 (define @t74 () (=> @t8 @t73)) % 16.68/16.90 (define @t75 () (forall @t9 @t74)) % 16.68/16.90 (define @t76 () (tptp.doDivides0 @t1 @t15)) % 16.68/16.90 (define @t77 () (tptp.doDivides0 @t1 @t16)) % 16.68/16.90 (define @t78 () (or (= @t4 tptp.sz10) @t51)) % 16.68/16.90 (define @t79 () (tptp.doDivides0 @t4 @t1)) % 16.68/16.90 (define @t80 () (and @t7 @t79)) % 16.68/16.90 (define @t81 () (=> @t80 @t78)) % 16.68/16.90 (define @t82 () (@list @t4)) % 16.68/16.90 (define @t83 () (forall @t82 @t81)) % 16.68/16.90 (define @t84 () (not @t65)) % 16.68/16.90 (define @t85 () (and @t36 @t84 @t83)) % 16.68/16.90 (define @t86 () (tptp.isPrime0 @t1)) % 16.68/16.90 (define @t87 () (= @t86 @t85)) % 16.68/16.90 (define @t88 () (=> @t2 @t87)) % 16.68/16.90 (define @t89 () (forall @t3 @t88)) % 16.68/16.90 (define @t90 () (tptp.aNaturalNumber0 tptp.xp)) % 16.68/16.90 (define @t91 () (tptp.aNaturalNumber0 tptp.xm)) % 16.68/16.90 (define @t92 () (tptp.aNaturalNumber0 tptp.xn)) % 16.68/16.90 (define @t93 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 16.68/16.90 (define @t94 () (tptp.sdtpldt0 @t93 tptp.xp)) % 16.68/16.90 (define @t95 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 16.68/16.90 (define @t96 () (tptp.doDivides0 tptp.xp @t95)) % 16.68/16.90 (define @t97 () (tptp.isPrime0 tptp.xp)) % 16.68/16.90 (define @t98 () (tptp.sdtsldt0 @t95 tptp.xp)) % 16.68/16.90 (define @t99 () (= tptp.xk tptp.sz10)) % 16.68/16.90 (define @t100 () (= tptp.xk tptp.sz00)) % 16.68/16.90 (define @t101 () (tptp.aNaturalNumber0 tptp.xr)) % 16.68/16.90 (define @t102 () (tptp.sdtlseqdt0 tptp.xr tptp.xk)) % 16.68/16.90 (define @t103 () (tptp.sdtlseqdt0 tptp.xk tptp.xp)) % 16.68/16.90 (define @t104 () (not (= tptp.xk tptp.xp))) % 16.68/16.90 (define @t105 () (tptp.sdtpldt0 @t93 tptp.xr)) % 16.68/16.90 (define @t106 () (tptp.sdtlseqdt0 @t105 @t94)) % 16.68/16.90 (define @t107 () (not (= @t105 @t94))) % 16.68/16.90 (define @t108 () (and @t107 @t106)) % 16.68/16.90 (define @t109 () (not @t108)) % 16.68/16.90 (define @t110 () (not @t47)) % 16.68/16.90 (define @t111 () (not @t40)) % 16.68/16.90 (define @t112 () (not @t18)) % 16.68/16.90 (define @t113 () (not @t7)) % 16.68/16.90 (define @t114 () (not @t2)) % 16.68/16.90 (define @t115 () (or @t114 @t113 @t112 @t111 @t110 @t46)) % 16.68/16.90 (define @t116 () (or @t111 @t110 @t46)) % 16.68/16.90 (define @t117 () (or @t114 @t113 @t112)) % 16.68/16.90 (define @t118 () (not @t19)) % 16.68/16.90 (define @t119 () (@var "BOUND_VARIABLE_7953" $$unsorted)) % 16.68/16.90 (define @t120 () (tptp.sdtpldt0 @t4 @t119)) % 16.68/16.90 (define @t121 () (tptp.sdtpldt0 @t1 @t119)) % 16.68/16.90 (define @t122 () (tptp.sdtpldt0 @t119 @t4)) % 16.68/16.90 (define @t123 () (tptp.sdtpldt0 @t119 @t1)) % 16.68/16.90 (define @t124 () (and (not (= @t123 @t122)) (tptp.sdtlseqdt0 @t123 @t122) (not (= @t120 @t121)) (tptp.sdtlseqdt0 @t121 @t120))) % 16.68/16.90 (define @t125 () (not (tptp.aNaturalNumber0 @t119))) % 16.68/16.90 (define @t126 () (or @t114 @t113 @t41 @t111 @t125 @t124)) % 16.68/16.90 (define @t127 () (or @t125 @t124)) % 16.68/16.90 (define @t128 () (or @t114 @t113 @t41 @t111 @t127)) % 16.68/16.90 (define @t129 () (@list @t1 @t4 @t119)) % 16.68/16.90 (define @t130 () (forall @t129 @t128)) % 16.68/16.90 (define @t131 () (@list @t119)) % 16.68/16.90 (define @t132 () (forall @t131 @t128)) % 16.68/16.90 (define @t133 () (forall @t131 @t127)) % 16.68/16.90 (define @t134 () (@list @t15)) % 16.68/16.90 (define @t135 () (or @t114 @t113 @t41 @t111 @t133)) % 16.68/16.90 (define @t136 () (and @t56 @t55 (not (= @t16 @t27)) @t52)) % 16.68/16.90 (define @t137 () (forall @t39 (or @t112 @t136))) % 16.68/16.90 (define @t138 () (or @t114 @t113 @t41 @t111 @t137)) % 16.68/16.90 (define @t139 () (or @t41 @t111 @t137)) % 16.68/16.90 (define @t140 () (or @t114 @t113)) % 16.68/16.90 (define @t141 () (=> @t61 @t137)) % 16.68/16.90 (define @t142 () (not @t8)) % 16.68/16.90 (define @t143 () (tptp.sdtpldt0 tptp.xp @t93)) % 16.68/16.90 (define @t144 () (tptp.sdtpldt0 tptp.xr @t93)) % 16.68/16.90 (define @t145 () (tptp.sdtlseqdt0 @t144 @t143)) % 16.68/16.90 (define @t146 () (not (= @t143 @t144))) % 16.68/16.90 (define @t147 () (and @t107 @t106 @t146 @t145)) % 16.68/16.90 (define @t148 () (tptp.aNaturalNumber0 @t93)) % 16.68/16.90 (define @t149 () (not @t148)) % 16.68/16.90 (define @t150 () (tptp.sdtlseqdt0 tptp.xr tptp.xp)) % 16.68/16.90 (define @t151 () (not @t150)) % 16.68/16.90 (define @t152 () (not @t90)) % 16.68/16.90 (define @t153 () (not @t101)) % 16.68/16.90 (define @t154 () (or @t153 @t152 (= tptp.xr tptp.xp) @t151 @t149 @t147)) % 16.68/16.90 (define @t155 () (forall @t129 @t126)) % 16.68/16.90 (define @t156 () (= @t94 @t105)) % 16.68/16.90 (define @t157 () (not @t156)) % 16.68/16.90 (define @t158 () (and @t157 @t106 @t146 @t145)) % 16.68/16.90 (define @t159 () (= tptp.xp tptp.xr)) % 16.68/16.90 (define @t160 () (or @t153 @t152 @t159 @t151 @t149 @t158)) % 16.68/16.90 (define @t161 () (@list false)) % 16.68/16.90 (define @t162 () (and (not @t28) (not @t26))) % 16.68/16.90 (define @t163 () (not @t42)) % 16.68/16.90 (define @t164 () (or @t114 @t113 @t111 @t163 @t41)) % 16.68/16.90 (define @t165 () (or @t111 @t163 @t41)) % 16.68/16.90 (define @t166 () (tptp.sdtlseqdt0 tptp.xp @t98)) % 16.68/16.90 (define @t167 () (not @t166)) % 16.68/16.90 (define @t168 () (tptp.sdtlseqdt0 @t98 tptp.xp)) % 16.68/16.90 (define @t169 () (not @t168)) % 16.68/16.90 (define @t170 () (tptp.aNaturalNumber0 @t98)) % 16.68/16.90 (define @t171 () (not @t170)) % 16.68/16.90 (define @t172 () (or @t171 @t152 @t169 @t167 (= @t98 tptp.xp))) % 16.68/16.90 (define @t173 () (forall @t9 @t164)) % 16.68/16.90 (define @t174 () (= tptp.xp @t98)) % 16.68/16.90 (define @t175 () (or @t171 @t152 @t169 @t167 @t174)) % 16.68/16.90 (define @t176 () (@var "BOUND_VARIABLE_8023" $$unsorted)) % 16.68/16.90 (define @t177 () (and (tptp.aNaturalNumber0 @t176) (= @t4 (tptp.sdtasdt0 @t1 @t176)))) % 16.68/16.90 (define @t178 () (= @t177 (= @t176 @t69))) % 16.68/16.90 (define @t179 () (not @t68)) % 16.68/16.90 (define @t180 () (or @t114 @t113 @t35 @t179 @t178)) % 16.68/16.90 (define @t181 () (@list @t1 @t4 @t176)) % 16.68/16.90 (define @t182 () (forall @t181 @t180)) % 16.68/16.90 (define @t183 () (@list @t176)) % 16.68/16.90 (define @t184 () (forall @t183 @t180)) % 16.68/16.90 (define @t185 () (forall @t183 @t178)) % 16.68/16.90 (define @t186 () (or @t114 @t113 @t35 @t179 @t185)) % 16.68/16.90 (define @t187 () (forall @t39 (= @t67 @t70))) % 16.68/16.90 (define @t188 () (or @t114 @t113 @t35 @t179 @t187)) % 16.68/16.90 (define @t189 () (or @t35 @t179 @t187)) % 16.68/16.90 (define @t190 () (=> @t72 @t187)) % 16.68/16.90 (define @t191 () (and @t170 (= @t95 (tptp.sdtasdt0 tptp.xp @t98)))) % 16.68/16.90 (define @t192 () (= @t98 @t98)) % 16.68/16.90 (define @t193 () (not @t96)) % 16.68/16.90 (define @t194 () (tptp.aNaturalNumber0 @t95)) % 16.68/16.90 (define @t195 () (not @t194)) % 16.68/16.90 (define @t196 () (= tptp.xp tptp.sz00)) % 16.68/16.90 (define @t197 () (or @t152 @t195 @t196 @t193 (= @t191 @t192))) % 16.68/16.90 (define @t198 () (forall @t181 (or @t114 @t113 @t35 @t179 (= @t177 (= @t69 @t176))))) % 16.68/16.90 (define @t199 () (= tptp.sz00 tptp.xp)) % 16.68/16.90 (define @t200 () (or @t152 @t195 @t199 @t193 @t191)) % 16.68/16.90 (define @t201 () (@list tptp.xn tptp.xm)) % 16.68/16.90 (define @t202 () (not @t91)) % 16.68/16.90 (define @t203 () (not @t92)) % 16.68/16.90 (define @t204 () (or @t203 @t202 @t194)) % 16.68/16.90 (define @t205 () (@list false false false)) % 16.68/16.90 (define @t206 () (= tptp.sz10 @t4)) % 16.68/16.90 (define @t207 () (not @t79)) % 16.68/16.90 (define @t208 () (or @t113 @t207 @t206 @t41)) % 16.68/16.90 (define @t209 () (= @t86 (and @t36 @t84 (forall @t82 @t208)))) % 16.68/16.90 (define @t210 () (or @t206 @t41)) % 16.68/16.90 (define @t211 () (not (tptp.doDivides0 @t4 tptp.xp))) % 16.68/16.90 (define @t212 () (or @t113 @t211 @t206 (= tptp.xp @t4))) % 16.68/16.90 (define @t213 () (forall @t82 @t212)) % 16.68/16.90 (define @t214 () (not (= tptp.xp tptp.sz10))) % 16.68/16.90 (define @t215 () (not @t196)) % 16.68/16.90 (define @t216 () (and @t215 @t214 @t213)) % 16.68/16.90 (define @t217 () (= @t97 @t216)) % 16.68/16.90 (define @t218 () (or @t152 @t217)) % 16.68/16.90 (define @t219 () (forall @t3 (or @t114 @t209))) % 16.68/16.90 (define @t220 () (not @t199)) % 16.68/16.90 (define @t221 () (and @t220 (not (= tptp.sz10 tptp.xp)) (forall @t82 (or @t113 @t211 @t206 (= @t4 tptp.xp))))) % 16.68/16.90 (define @t222 () (= @t97 @t221)) % 16.68/16.90 (define @t223 () (or @t152 @t222)) % 16.68/16.90 (define @t224 () (@list false false)) % 16.68/16.90 (define @t225 () (= tptp.xp tptp.xk)) % 16.68/16.90 (define @t226 () (not @t159)) % 16.68/16.90 (define @t227 () (tptp.sdtlseqdt0 tptp.xr @t98)) % 16.68/16.90 (define @t228 () (not @t227)) % 16.68/16.90 (define @t229 () (and @t167 @t159 @t227)) % 16.68/16.90 (define @t230 () (or @t203 @t202 @t148)) % 16.68/16.90 (define @t231 () (and @t157 @t146)) % 16.68/16.90 (define @t232 () (or @t149 @t152 @t153 @t231 @t159)) % 16.68/16.90 (define @t233 () (not @t106)) % 16.68/16.90 (define @t234 () (@list true)) % 16.68/16.90 (define @t235 () (not @t158)) % 16.68/16.90 (define @t236 () (or @t153 @t171 @t152 @t228 @t169 @t150)) % 16.68/16.90 (define @t237 () (not @t236)) % 16.68/16.90 (define @t238 () (forall @t20 @t115)) % 16.68/16.90 (assume @p1 (forall @t3 (=> @t2 true))) % 16.68/16.90 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 16.68/16.90 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 16.68/16.90 (assume @p4 @t10) % 16.68/16.90 (assume @p5 @t13) % 16.68/16.90 (assume @p6 (forall @t9 (=> @t8 (= @t5 @t14)))) % 16.68/16.90 (assume @p7 (forall @t20 (=> @t19 (= @t17 (tptp.sdtpldt0 @t1 @t16))))) % 16.68/16.90 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 16.68/16.90 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t21)))) % 16.68/16.90 (assume @p10 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t11 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t15)))))) % 16.68/16.90 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 16.68/16.90 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 16.68/16.90 (assume @p13 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t11 @t23)) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t21 @t22)))))) % 16.68/16.90 (assume @p14 @t31) % 16.68/16.90 (assume @p15 (forall @t3 (=> @t2 (=> @t36 (forall (@list @t4 @t15) (=> @t34 (=> (or @t33 @t32) @t24))))))) % 16.68/16.90 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t35 @t37))))) % 16.68/16.90 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t35 @t37))))) % 16.68/16.90 (assume @p18 (forall @t9 (=> @t8 (= @t40 (exists @t39 @t38))))) % 16.68/16.90 (assume @p19 (forall @t9 (=> @t8 (=> @t40 (forall @t39 (= (= @t15 (tptp.sdtmndt0 @t4 @t1)) @t38)))))) % 16.68/16.90 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 16.68/16.90 (assume @p21 @t45) % 16.68/16.90 (assume @p22 @t50) % 16.68/16.90 (assume @p23 (forall @t9 (=> @t8 (or @t40 (and (not @t51) @t42))))) % 16.68/16.90 (assume @p24 @t64) % 16.68/16.90 (assume @p25 (forall @t20 (=> @t19 (=> (and @t36 (not @t24) @t47) (and (not @t33) (tptp.sdtlseqdt0 @t11 @t23) (not @t32) (tptp.sdtlseqdt0 @t21 @t22)))))) % 16.68/16.90 (assume @p26 (forall @t3 (=> @t2 (or @t35 @t65 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 16.68/16.90 (assume @p27 (forall @t9 (=> @t8 (=> @t36 (tptp.sdtlseqdt0 @t4 @t21))))) % 16.68/16.90 (assume @p28 (forall @t9 (=> @t8 (=> @t66 true)))) % 16.68/16.90 (assume @p29 (forall @t9 (=> @t8 (=> @t61 @t66)))) % 16.68/16.90 (assume @p30 (forall @t9 (=> @t8 (= @t68 (exists @t39 @t67))))) % 16.68/16.90 (assume @p31 @t75) % 16.68/16.90 (assume @p32 (forall @t20 (=> @t19 (=> (and @t68 (tptp.doDivides0 @t4 @t15)) @t76)))) % 16.68/16.90 (assume @p33 (forall @t20 (=> @t19 (=> (and @t68 @t76) @t77)))) % 16.68/16.90 (assume @p34 (forall @t20 (=> @t19 (=> (and @t68 @t77) @t76)))) % 16.68/16.90 (assume @p35 (forall @t9 (=> @t8 (=> (and @t68 (not @t37)) @t40)))) % 16.68/16.90 (assume @p36 (forall @t9 (=> @t8 (=> @t72 (forall @t39 (=> @t18 (= (tptp.sdtasdt0 @t15 @t69) (tptp.sdtsldt0 (tptp.sdtasdt0 @t15 @t4) @t1)))))))) % 16.68/16.90 (assume @p37 @t89) % 16.68/16.90 (assume @p38 (forall @t3 (=> (and @t2 @t36 @t84) (exists @t82 (and @t7 @t79 (tptp.isPrime0 @t4)))))) % 16.68/16.90 (assume @p39 (and @t92 @t91 @t90)) % 16.68/16.90 (assume @p40 (forall @t20 (=> @t19 (=> (and (tptp.isPrime0 @t15) (tptp.doDivides0 @t15 @t11)) (=> (tptp.iLess0 @t17 @t94) (or (tptp.doDivides0 @t15 @t1) (tptp.doDivides0 @t15 @t4))))))) % 16.68/16.90 (assume @p41 (and @t97 @t96)) % 16.68/16.90 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 16.68/16.90 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 16.68/16.90 (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))) % 16.68/16.90 (assume @p45 (= tptp.xk @t98)) % 16.68/16.90 (assume @p46 (not (or @t100 @t99))) % 16.68/16.90 (assume @p47 (and (not @t100) (not @t99))) % 16.68/16.90 (assume @p48 (and @t101 (tptp.doDivides0 tptp.xr tptp.xk) (tptp.isPrime0 tptp.xr))) % 16.68/16.90 (assume @p49 (and @t102 (tptp.doDivides0 tptp.xr @t95))) % 16.68/16.90 (assume @p50 (and @t104 @t103)) % 16.68/16.90 (assume @p51 @t109) % 16.68/16.90 (assume @p52 true) % 16.68/16.90 (step @p53 :rule aci_norm :args ((= (or @t117 @t116) @t115))) % 16.68/16.90 (step @p54 :rule aci_norm :args ((= (or (or @t111 @t110) @t46) @t116))) % 16.68/16.90 (step @p55 :rule refl :args (@t46)) % 16.68/16.90 (step @p56 :rule bool-and-de-morgan :args (@t40 @t47 true)) % 16.68/16.90 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t48) @t46))) % 16.68/16.90 (step @p58 :rule trans :premises (@p57 @p54)) % 16.68/16.90 (step @p59 :rule bool-impl-elim :args (@t48 @t46)) % 16.68/16.90 (step @p60 :rule trans :premises (@p59 @p58)) % 16.68/16.90 (step @p61 :rule aci_norm :args ((= (or @t114 (or @t113 @t112)) @t117))) % 16.68/16.90 (step @p62 :rule bool-and-de-morgan :args (@t7 @t18 true)) % 16.68/16.90 (step @p63 :rule refl :args (@t114)) % 16.68/16.90 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t114 (not @t34)))) % 16.68/16.90 (step @p65 :rule bool-and-de-morgan :args (@t2 @t7 (and @t18))) % 16.68/16.90 (step @p66 :rule trans :premises (@p65 @p64)) % 16.68/16.90 (step @p67 :rule trans :premises (@p66 @p61)) % 16.68/16.90 (step @p68 :rule nary_cong :premises (@p67 @p60) :args ((or @t118 @t49))) % 16.68/16.90 (step @p69 :rule trans :premises (@p68 @p53)) % 16.68/16.90 (step @p70 :rule bool-impl-elim :args (@t19 @t49)) % 16.68/16.90 (step @p71 :rule trans :premises (@p70 @p69)) % 16.68/16.90 (step @p72 :rule cong :premises (@p71) :args (@t50)) % 16.68/16.90 (step @p73 :rule eq_resolve :premises (@p22 @p72)) % 16.68/16.90 (step @p74 :rule aci_norm :args ((= @t128 @t126))) % 16.68/16.90 (step @p75 :rule cong :premises (@p74) :args (@t130)) % 16.68/16.90 (step @p76 :rule quant-merge-prenex :args ((= (forall @t9 @t132) @t130))) % 16.68/16.90 (step @p77 :rule alpha_equiv :args (@t133 (@list @t119) @t134)) % 16.68/16.90 (step @p78 :rule refl :args (@t111)) % 16.68/16.90 (step @p79 :rule refl :args (@t41)) % 16.68/16.90 (step @p80 :rule refl :args (@t113)) % 16.68/16.90 (step @p81 :rule nary_cong :premises (@p63 @p80 @p79 @p78 @p77) :args (@t135)) % 16.68/16.90 (step @p82 :rule quant-miniscope-or :args ((= @t132 @t135))) % 16.68/16.90 (step @p83 :rule trans :premises (@p82 @p81)) % 16.68/16.90 (step @p84 :rule symm :premises (@p83)) % 16.68/16.90 (step @p85 :rule cong :premises (@p84) :args ((forall @t9 @t138))) % 16.68/16.90 (step @p86 :rule trans :premises (@p85 @p76)) % 16.68/16.90 (step @p87 :rule trans :premises (@p86 @p75)) % 16.68/16.90 (step @p88 :rule aci_norm :args ((= (or @t140 @t139) @t138))) % 16.68/16.90 (step @p89 :rule aci_norm :args ((= (or (or @t41 @t111) @t137) @t139))) % 16.68/16.90 (step @p90 :rule refl :args (@t137)) % 16.68/16.90 (step @p91 :rule bool-double-not-elim :args (@t41)) % 16.68/16.90 (step @p92 :rule nary_cong :premises (@p91 @p78) :args ((or (not @t60) @t111))) % 16.68/16.90 (step @p93 :rule bool-and-de-morgan :args (@t60 @t40 true)) % 16.68/16.90 (step @p94 :rule trans :premises (@p93 @p92)) % 16.68/16.90 (step @p95 :rule nary_cong :premises (@p94 @p90) :args ((or (not @t61) @t137))) % 16.68/16.90 (step @p96 :rule trans :premises (@p95 @p89)) % 16.68/16.90 (step @p97 :rule bool-impl-elim :args (@t61 @t137)) % 16.68/16.90 (step @p98 :rule trans :premises (@p97 @p96)) % 16.68/16.90 (step @p99 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 16.68/16.90 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t142 @t141))) % 16.68/16.90 (step @p101 :rule trans :premises (@p100 @p88)) % 16.68/16.90 (step @p102 :rule bool-impl-elim :args (@t8 @t141)) % 16.68/16.90 (step @p103 :rule trans :premises (@p102 @p101)) % 16.68/16.90 (step @p104 :rule cong :premises (@p103) :args ((forall @t9 (=> @t8 @t141)))) % 16.68/16.90 (step @p105 :rule trans :premises (@p104 @p87)) % 16.68/16.90 (step @p106 :rule bool-impl-elim :args (@t18 @t136)) % 16.68/16.90 (step @p107 :rule cong :premises (@p106) :args ((forall @t39 (=> @t18 @t136)))) % 16.68/16.90 (step @p108 :rule refl :args (@t52)) % 16.68/16.90 (step @p109 :rule eq-symm :args (@t27 @t16)) % 16.68/16.90 (step @p110 :rule cong :premises (@p109) :args (@t53)) % 16.68/16.90 (step @p111 :rule refl :args (@t55)) % 16.68/16.90 (step @p112 :rule refl :args (@t56)) % 16.68/16.90 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p108) :args (@t57)) % 16.68/16.90 (step @p114 :rule refl :args (@t18)) % 16.68/16.90 (step @p115 :rule cong :premises (@p114 @p113) :args (@t58)) % 16.68/16.90 (step @p116 :rule cong :premises (@p115) :args (@t59)) % 16.68/16.90 (step @p117 :rule trans :premises (@p116 @p107)) % 16.68/16.90 (step @p118 :rule refl :args (@t61)) % 16.68/16.90 (step @p119 :rule cong :premises (@p118 @p117) :args (@t62)) % 16.68/16.90 (step @p120 :rule refl :args (@t8)) % 16.68/16.90 (step @p121 :rule cong :premises (@p120 @p119) :args (@t63)) % 16.68/16.90 (step @p122 :rule cong :premises (@p121) :args (@t64)) % 16.68/16.90 (step @p123 :rule trans :premises (@p122 @p105)) % 16.68/16.90 (step @p124 :rule eq_resolve :premises (@p24 @p123)) % 16.68/16.90 (step @p125 :rule refl :args (@t145)) % 16.68/16.90 (step @p126 :rule refl :args (@t146)) % 16.68/16.90 (step @p127 :rule refl :args (@t106)) % 16.68/16.90 (step @p128 :rule eq-symm :args (@t105 @t94)) % 16.68/16.90 (step @p129 :rule cong :premises (@p128) :args (@t107)) % 16.68/16.90 (step @p130 :rule nary_cong :premises (@p129 @p127 @p126 @p125) :args (@t147)) % 16.68/16.90 (step @p131 :rule refl :args (@t149)) % 16.68/16.90 (step @p132 :rule refl :args (@t151)) % 16.68/16.90 (step @p133 :rule eq-symm :args (tptp.xr tptp.xp)) % 16.68/16.90 (step @p134 :rule refl :args (@t152)) % 16.68/16.90 (step @p135 :rule refl :args (@t153)) % 16.68/16.90 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132 @p131 @p130) :args (@t154)) % 16.68/16.90 (step @p137 :rule refl :args (@t155)) % 16.68/16.90 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t155 @t154))) % 16.68/16.90 (assume-push @p427 @t155) % 16.68/16.90 (step @p140 :rule instantiate :premises (@p124) :args ((@list tptp.xr tptp.xp @t93))) % 16.68/16.90 (step-pop @p428 :rule scope :premises (@p140)) % 16.68/16.90 (step @p141 :rule process_scope :premises (@p428) :args (@t154)) % 16.68/16.90 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 16.68/16.90 (step @p144 :rule implies_elim :premises (@p143)) % 16.68/16.90 (step @p145 :rule chain_m_resolution :premises (@p144 @p124) :args (@t160 @t161 (@list @t155))) % 16.68/16.90 (step @p146 :rule aci_norm :args ((= (or @t117 (or @t162 @t24)) (or @t114 @t113 @t112 @t162 @t24)))) % 16.68/16.90 (step @p147 :rule refl :args (@t24)) % 16.68/16.90 (step @p148 :rule bool-or-de-morgan :args (@t28 @t26 false)) % 16.68/16.90 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or (not @t29) @t24))) % 16.68/16.90 (step @p150 :rule bool-impl-elim :args (@t29 @t24)) % 16.68/16.90 (step @p151 :rule trans :premises (@p150 @p149)) % 16.68/16.90 (step @p152 :rule nary_cong :premises (@p67 @p151) :args ((or @t118 @t30))) % 16.68/16.90 (step @p153 :rule trans :premises (@p152 @p146)) % 16.68/16.90 (step @p154 :rule bool-impl-elim :args (@t19 @t30)) % 16.68/16.90 (step @p155 :rule trans :premises (@p154 @p153)) % 16.68/16.90 (step @p156 :rule cong :premises (@p155) :args (@t31)) % 16.68/16.90 (step @p157 :rule eq_resolve :premises (@p14 @p156)) % 16.68/16.90 (step @p158 :rule instantiate :premises (@p157) :args ((@list @t93 tptp.xp tptp.xr))) % 16.68/16.90 (step @p159 :rule aci_norm :args ((= (or @t140 @t165) @t164))) % 16.68/16.90 (step @p160 :rule aci_norm :args ((= (or (or @t111 @t163) @t41) @t165))) % 16.68/16.90 (step @p161 :rule bool-and-de-morgan :args (@t40 @t42 true)) % 16.68/16.90 (step @p162 :rule nary_cong :premises (@p161 @p79) :args ((or (not @t43) @t41))) % 16.68/16.90 (step @p163 :rule trans :premises (@p162 @p160)) % 16.68/16.90 (step @p164 :rule bool-impl-elim :args (@t43 @t41)) % 16.68/16.90 (step @p165 :rule trans :premises (@p164 @p163)) % 16.68/16.90 (step @p166 :rule nary_cong :premises (@p99 @p165) :args ((or @t142 @t44))) % 16.68/16.90 (step @p167 :rule trans :premises (@p166 @p159)) % 16.68/16.90 (step @p168 :rule bool-impl-elim :args (@t8 @t44)) % 16.68/16.90 (step @p169 :rule trans :premises (@p168 @p167)) % 16.68/16.90 (step @p170 :rule cong :premises (@p169) :args (@t45)) % 16.68/16.90 (step @p171 :rule eq_resolve :premises (@p21 @p170)) % 16.68/16.90 (step @p172 :rule eq-symm :args (@t98 tptp.xp)) % 16.68/16.90 (step @p173 :rule refl :args (@t167)) % 16.68/16.90 (step @p174 :rule refl :args (@t169)) % 16.68/16.90 (step @p175 :rule refl :args (@t171)) % 16.68/16.90 (step @p176 :rule nary_cong :premises (@p175 @p134 @p174 @p173 @p172) :args (@t172)) % 16.68/16.90 (step @p177 :rule refl :args (@t173)) % 16.68/16.90 (step @p178 :rule cong :premises (@p177 @p176) :args ((=> @t173 @t172))) % 16.68/16.90 (assume-push @p429 @t173) % 16.68/16.90 (step @p180 :rule instantiate :premises (@p171) :args ((@list @t98 tptp.xp))) % 16.68/16.90 (step-pop @p430 :rule scope :premises (@p180)) % 16.68/16.90 (step @p181 :rule process_scope :premises (@p430) :args (@t172)) % 16.68/16.90 (step @p183 :rule eq_resolve :premises (@p181 @p178)) % 16.68/16.90 (step @p184 :rule implies_elim :premises (@p183)) % 16.68/16.90 (step @p185 :rule chain_m_resolution :premises (@p184 @p171) :args (@t175 @t161 (@list @t173))) % 16.68/16.90 (step @p186 :rule eq-symm :args (@t176 @t69)) % 16.68/16.90 (step @p187 :rule refl :args (@t177)) % 16.68/16.90 (step @p188 :rule cong :premises (@p187 @p186) :args (@t178)) % 16.68/16.90 (step @p189 :rule refl :args (@t179)) % 16.68/16.90 (step @p190 :rule refl :args (@t35)) % 16.68/16.90 (step @p191 :rule refl :args (@t113)) % 16.68/16.90 (step @p192 :rule refl :args (@t114)) % 16.68/16.90 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190 @p189 @p188) :args (@t180)) % 16.68/16.90 (step @p194 :rule cong :premises (@p193) :args (@t182)) % 16.68/16.90 (step @p195 :rule quant-merge-prenex :args ((= (forall @t9 @t184) @t182))) % 16.68/16.90 (step @p196 :rule alpha_equiv :args (@t185 (@list @t176) @t134)) % 16.68/16.90 (step @p197 :rule refl :args (@t179)) % 16.68/16.90 (step @p198 :rule refl :args (@t35)) % 16.68/16.90 (step @p199 :rule nary_cong :premises (@p63 @p80 @p198 @p197 @p196) :args (@t186)) % 16.68/16.90 (step @p200 :rule quant-miniscope-or :args ((= @t184 @t186))) % 16.68/16.90 (step @p201 :rule trans :premises (@p200 @p199)) % 16.68/16.90 (step @p202 :rule symm :premises (@p201)) % 16.68/16.90 (step @p203 :rule cong :premises (@p202) :args ((forall @t9 @t188))) % 16.68/16.90 (step @p204 :rule trans :premises (@p203 @p195)) % 16.68/16.90 (step @p205 :rule trans :premises (@p204 @p194)) % 16.68/16.90 (step @p206 :rule aci_norm :args ((= (or @t140 @t189) @t188))) % 16.68/16.90 (step @p207 :rule aci_norm :args ((= (or (or @t35 @t179) @t187) @t189))) % 16.68/16.90 (step @p208 :rule refl :args (@t187)) % 16.68/16.90 (step @p209 :rule bool-double-not-elim :args (@t35)) % 16.68/16.90 (step @p210 :rule nary_cong :premises (@p209 @p197) :args ((or (not @t36) @t179))) % 16.68/16.90 (step @p211 :rule bool-and-de-morgan :args (@t36 @t68 true)) % 16.68/16.90 (step @p212 :rule trans :premises (@p211 @p210)) % 16.68/16.90 (step @p213 :rule nary_cong :premises (@p212 @p208) :args ((or (not @t72) @t187))) % 16.68/16.90 (step @p214 :rule trans :premises (@p213 @p207)) % 16.68/16.90 (step @p215 :rule bool-impl-elim :args (@t72 @t187)) % 16.68/16.90 (step @p216 :rule trans :premises (@p215 @p214)) % 16.68/16.90 (step @p217 :rule nary_cong :premises (@p99 @p216) :args ((or @t142 @t190))) % 16.68/16.90 (step @p218 :rule trans :premises (@p217 @p206)) % 16.68/16.90 (step @p219 :rule bool-impl-elim :args (@t8 @t190)) % 16.68/16.90 (step @p220 :rule trans :premises (@p219 @p218)) % 16.68/16.90 (step @p221 :rule cong :premises (@p220) :args ((forall @t9 (=> @t8 @t190)))) % 16.68/16.90 (step @p222 :rule trans :premises (@p221 @p205)) % 16.68/16.90 (step @p223 :rule eq-symm :args (@t70 @t67)) % 16.68/16.90 (step @p224 :rule cong :premises (@p223) :args (@t71)) % 16.68/16.90 (step @p225 :rule refl :args (@t72)) % 16.68/16.90 (step @p226 :rule cong :premises (@p225 @p224) :args (@t73)) % 16.68/16.90 (step @p227 :rule cong :premises (@p120 @p226) :args (@t74)) % 16.68/16.90 (step @p228 :rule cong :premises (@p227) :args (@t75)) % 16.68/16.90 (step @p229 :rule trans :premises (@p228 @p222)) % 16.68/16.90 (step @p230 :rule eq_resolve :premises (@p31 @p229)) % 16.68/16.90 (step @p231 :rule bool-eq-true :args (@t191)) % 16.68/16.90 (step @p232 :rule eq-symm :args (true @t191)) % 16.68/16.90 (step @p233 :rule trans :premises (@p232 @p231)) % 16.68/16.90 (step @p234 :rule refl :args (@t191)) % 16.68/16.90 (step @p235 :rule eq-refl :args (@t98)) % 16.68/16.90 (step @p236 :rule cong :premises (@p235 @p234) :args ((= @t192 @t191))) % 16.68/16.90 (step @p237 :rule trans :premises (@p236 @p233)) % 16.68/16.90 (step @p238 :rule eq-symm :args (@t191 @t192)) % 16.68/16.90 (step @p239 :rule trans :premises (@p238 @p237)) % 16.68/16.90 (step @p240 :rule refl :args (@t193)) % 16.68/16.90 (step @p241 :rule eq-symm :args (tptp.xp tptp.sz00)) % 16.68/16.90 (step @p242 :rule refl :args (@t195)) % 16.68/16.90 (step @p243 :rule nary_cong :premises (@p134 @p242 @p241 @p240 @p239) :args (@t197)) % 16.68/16.90 (step @p244 :rule refl :args (@t198)) % 16.68/16.90 (step @p245 :rule cong :premises (@p244 @p243) :args ((=> @t198 @t197))) % 16.68/16.90 (assume-push @p431 @t198) % 16.68/16.90 (step @p247 :rule instantiate :premises (@p230) :args ((@list tptp.xp @t95 @t98))) % 16.68/16.90 (step-pop @p432 :rule scope :premises (@p247)) % 16.68/16.90 (step @p248 :rule process_scope :premises (@p432) :args (@t197)) % 16.68/16.90 (step @p250 :rule eq_resolve :premises (@p248 @p245)) % 16.68/16.90 (step @p251 :rule implies_elim :premises (@p250)) % 16.68/16.90 (step @p252 :rule chain_m_resolution :premises (@p251 @p230) :args (@t200 @t161 (@list @t198))) % 16.68/16.90 (step @p253 :rule aci_norm :args ((= (or @t140 @t12) (or @t114 @t113 @t12)))) % 16.68/16.90 (step @p254 :rule refl :args (@t12)) % 16.68/16.90 (step @p255 :rule nary_cong :premises (@p99 @p254) :args ((or @t142 @t12))) % 16.68/16.90 (step @p256 :rule trans :premises (@p255 @p253)) % 16.68/16.90 (step @p257 :rule bool-impl-elim :args (@t8 @t12)) % 16.68/16.90 (step @p258 :rule trans :premises (@p257 @p256)) % 16.68/16.90 (step @p259 :rule cong :premises (@p258) :args (@t13)) % 16.68/16.90 (step @p260 :rule eq_resolve :premises (@p5 @p259)) % 16.68/16.90 (step @p261 :rule instantiate :premises (@p260) :args (@t201)) % 16.68/16.90 (step @p262 :rule and_elim :premises (@p39) :args (1)) % 16.68/16.90 (step @p263 :rule and_elim :premises (@p39) :args (0)) % 16.68/16.90 (step @p264 :rule cnf_or_pos :args (@t204)) % 16.68/16.90 (step @p265 :rule reordering :premises (@p264) :args ((or @t203 @t202 @t194 (not @t204)))) % 16.68/16.90 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p262 @p261) :args (@t194 @t205 (@list @t92 @t91 @t204))) % 16.68/16.90 (step @p267 :rule bool-impl-elim :args (@t2 @t209)) % 16.68/16.90 (step @p268 :rule cong :premises (@p267) :args ((forall @t3 (=> @t2 @t209)))) % 16.68/16.90 (step @p269 :rule aci_norm :args ((= (or (or @t113 @t207) @t210) @t208))) % 16.68/16.90 (step @p270 :rule refl :args (@t210)) % 16.68/16.90 (step @p271 :rule bool-and-de-morgan :args (@t7 @t79 true)) % 16.68/16.90 (step @p272 :rule nary_cong :premises (@p271 @p270) :args ((or (not @t80) @t210))) % 16.68/16.90 (step @p273 :rule trans :premises (@p272 @p269)) % 16.68/16.90 (step @p274 :rule bool-impl-elim :args (@t80 @t210)) % 16.68/16.90 (step @p275 :rule trans :premises (@p274 @p273)) % 16.68/16.90 (step @p276 :rule cong :premises (@p275) :args ((forall @t82 (=> @t80 @t210)))) % 16.68/16.90 (step @p277 :rule eq-symm :args (@t4 @t1)) % 16.68/16.90 (step @p278 :rule eq-symm :args (@t4 tptp.sz10)) % 16.68/16.90 (step @p279 :rule nary_cong :premises (@p278 @p277) :args (@t78)) % 16.68/16.90 (step @p280 :rule refl :args (@t80)) % 16.68/16.90 (step @p281 :rule cong :premises (@p280 @p279) :args (@t81)) % 16.68/16.90 (step @p282 :rule cong :premises (@p281) :args (@t83)) % 16.68/16.90 (step @p283 :rule trans :premises (@p282 @p276)) % 16.68/16.90 (step @p284 :rule refl :args (@t84)) % 16.68/16.90 (step @p285 :rule refl :args (@t36)) % 16.68/16.90 (step @p286 :rule nary_cong :premises (@p285 @p284 @p283) :args (@t85)) % 16.68/16.90 (step @p287 :rule refl :args (@t86)) % 16.68/16.90 (step @p288 :rule cong :premises (@p287 @p286) :args (@t87)) % 16.68/16.90 (step @p289 :rule refl :args (@t2)) % 16.68/16.90 (step @p290 :rule cong :premises (@p289 @p288) :args (@t88)) % 16.68/16.90 (step @p291 :rule cong :premises (@p290) :args (@t89)) % 16.68/16.90 (step @p292 :rule trans :premises (@p291 @p268)) % 16.68/16.90 (step @p293 :rule eq_resolve :premises (@p37 @p292)) % 16.68/16.90 (step @p294 :rule eq-symm :args (tptp.xp @t4)) % 16.68/16.90 (step @p295 :rule refl :args (@t206)) % 16.68/16.90 (step @p296 :rule refl :args (@t211)) % 16.68/16.90 (step @p297 :rule nary_cong :premises (@p191 @p296 @p295 @p294) :args (@t212)) % 16.68/16.90 (step @p298 :rule cong :premises (@p297) :args (@t213)) % 16.68/16.90 (step @p299 :rule eq-symm :args (tptp.xp tptp.sz10)) % 16.68/16.90 (step @p300 :rule cong :premises (@p299) :args (@t214)) % 16.68/16.90 (step @p301 :rule cong :premises (@p241) :args (@t215)) % 16.68/16.90 (step @p302 :rule nary_cong :premises (@p301 @p300 @p298) :args (@t216)) % 16.68/16.90 (step @p303 :rule refl :args (@t97)) % 16.68/16.90 (step @p304 :rule cong :premises (@p303 @p302) :args (@t217)) % 16.68/16.90 (step @p305 :rule nary_cong :premises (@p134 @p304) :args (@t218)) % 16.68/16.90 (step @p306 :rule refl :args (@t219)) % 16.68/16.90 (step @p307 :rule cong :premises (@p306 @p305) :args ((=> @t219 @t218))) % 16.68/16.90 (assume-push @p433 @t219) % 16.68/16.90 (step @p309 :rule instantiate :premises (@p293) :args ((@list tptp.xp))) % 16.68/16.90 (step-pop @p434 :rule scope :premises (@p309)) % 16.68/16.90 (step @p310 :rule process_scope :premises (@p434) :args (@t218)) % 16.68/16.90 (step @p312 :rule eq_resolve :premises (@p310 @p307)) % 16.68/16.90 (step @p313 :rule implies_elim :premises (@p312)) % 16.68/16.90 (step @p314 :rule chain_m_resolution :premises (@p313 @p293) :args (@t223 @t161 (@list @t219))) % 16.68/16.90 (step @p315 :rule and_elim :premises (@p39) :args (2)) % 16.68/16.90 (step @p316 :rule cnf_or_pos :args (@t223)) % 16.68/16.90 (step @p317 :rule reordering :premises (@p316) :args ((or @t152 @t222 (not @t223)))) % 16.68/16.90 (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p314) :args (@t222 @t224 (@list @t90 @t223))) % 16.68/16.90 (step @p319 :rule and_elim :premises (@p41) :args (0)) % 16.68/16.90 (step @p320 :rule cnf_equiv_pos1 :args (@t222)) % 16.68/16.90 (step @p321 :rule reordering :premises (@p320) :args ((or (not @t97) @t221 (not @t222)))) % 16.68/16.90 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p318) :args (@t221 @t224 (@list @t97 @t222))) % 16.68/16.90 (step @p323 :rule cnf_and_pos :args (@t221 0)) % 16.68/16.90 (step @p324 :rule reordering :premises (@p323) :args ((or @t220 (not @t221)))) % 16.68/16.90 (step @p325 :rule chain_m_resolution :premises (@p324 @p322) :args (@t220 @t161 (@list @t221))) % 16.68/16.90 (step @p326 :rule and_elim :premises (@p41) :args (1)) % 16.68/16.90 (step @p327 :rule cnf_or_pos :args (@t200)) % 16.68/16.90 (step @p328 :rule reordering :premises (@p327) :args ((or @t152 @t193 @t199 @t195 @t191 (not @t200)))) % 16.68/16.90 (step @p329 :rule chain_m_resolution :premises (@p328 @p315 @p326 @p325 @p266 @p252) :args (@t191 (@list false false true false false) (@list @t90 @t96 @t199 @t194 @t200))) % 16.68/16.90 (step @p330 :rule cnf_and_pos :args (@t191 0)) % 16.68/16.90 (step @p331 :rule reordering :premises (@p330) :args ((or @t170 (not @t191)))) % 16.68/16.90 (step @p332 :rule chain_m_resolution :premises (@p331 @p329) :args (@t170 @t161 (@list @t191))) % 16.68/16.90 (step @p333 :rule refl :args (tptp.xp)) % 16.68/16.90 (step @p334 :rule cong :premises (@p45 @p333) :args (@t103)) % 16.68/16.90 (step @p335 :rule and_elim :premises (@p50) :args (1)) % 16.68/16.90 (step @p336 :rule eq_resolve :premises (@p335 @p334)) % 16.68/16.90 (step @p337 :rule cong :premises (@p333 @p45) :args (@t225)) % 16.68/16.90 (step @p338 :rule cong :premises (@p337) :args ((not @t225))) % 16.68/16.90 (step @p339 :rule eq-symm :args (tptp.xk tptp.xp)) % 16.68/16.90 (step @p340 :rule cong :premises (@p339) :args (@t104)) % 16.68/16.90 (step @p341 :rule trans :premises (@p340 @p338)) % 16.68/16.90 (step @p342 :rule and_elim :premises (@p50) :args (0)) % 16.68/16.90 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 16.68/16.90 (step @p344 :rule cnf_or_pos :args (@t175)) % 16.68/16.90 (step @p345 :rule reordering :premises (@p344) :args ((or @t174 @t152 @t169 @t171 @t167 (not @t175)))) % 16.68/16.90 (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p315 @p336 @p332 @p185) :args (@t167 (@list true false false false false) (@list @t174 @t90 @t168 @t170 @t175))) % 16.68/16.90 (step @p347 :rule refl :args (tptp.xr)) % 16.68/16.90 (step @p348 :rule cong :premises (@p347 @p45) :args (@t102)) % 16.68/16.90 (step @p349 :rule and_elim :premises (@p49) :args (0)) % 16.68/16.90 (step @p350 :rule eq_resolve :premises (@p349 @p348)) % 16.68/16.90 (step @p351 :rule bool-double-not-elim :args (@t166)) % 16.68/16.90 (step @p352 :rule refl :args (@t226)) % 16.68/16.90 (step @p353 :rule refl :args (@t228)) % 16.68/16.90 (step @p354 :rule nary_cong :premises (@p353 @p352 @p351) :args ((or @t228 @t226 (not @t167)))) % 16.68/16.90 (assume-push @p435 @t167) % 16.68/16.90 (assume-push @p436 @t159) % 16.68/16.90 (assume-push @p437 @t227) % 16.68/16.90 (step @p358 :rule evaluate :args ((= true false))) % 16.68/16.90 (step @p359 :rule false_intro :premises (@p346)) % 16.68/16.90 (step @p360 :rule refl :args (@t98)) % 16.68/16.90 (step @p361 :rule symm :premises (@p436)) % 16.68/16.90 (step @p362 :rule cong :premises (@p361 @p360) :args (@t227)) % 16.68/16.90 (step @p363 :rule true_intro :premises (@p350)) % 16.68/16.90 (step @p364 :rule symm :premises (@p363)) % 16.68/16.90 (step @p365 :rule trans :premises (@p364 @p362 @p359)) % 16.68/16.90 (step @p366 false :rule eq_resolve :premises (@p365 @p358)) % 16.68/16.90 (step-pop @p438 :rule scope :premises (@p366)) % 16.68/16.90 (step-pop @p439 :rule scope :premises (@p438)) % 16.68/16.90 (step-pop @p440 :rule scope :premises (@p439)) % 16.68/16.90 (step @p367 :rule process_scope :premises (@p440) :args (false)) % 16.68/16.90 (assume-push @p441 @t227) % 16.68/16.90 (assume-push @p442 @t159) % 16.68/16.90 (assume-push @p443 @t167) % 16.68/16.90 (step @p374 :rule and_intro :premises (@p346 @p442 @p350)) % 16.68/16.90 (step-pop @p444 :rule scope :premises (@p374)) % 16.68/16.90 (step-pop @p445 :rule scope :premises (@p444)) % 16.68/16.90 (step-pop @p446 :rule scope :premises (@p445)) % 16.68/16.90 (step @p375 :rule process_scope :premises (@p446) :args (@t229)) % 16.68/16.90 (step @p379 :rule implies_elim :premises (@p375)) % 16.68/16.90 (step @p380 :rule resolution :premises (@p379 @p367) :args (true @t229)) % 16.68/16.90 (step @p381 :rule not_and :premises (@p380)) % 16.68/16.90 (step @p382 :rule eq_resolve :premises (@p381 @p354)) % 16.68/16.90 (step @p383 :rule chain_m_resolution :premises (@p382 @p350 @p346) :args (@t226 (@list false true) (@list @t227 @t166))) % 16.68/16.90 (step @p384 :rule aci_norm :args ((= (or @t140 @t6) (or @t114 @t113 @t6)))) % 16.68/16.90 (step @p385 :rule refl :args (@t6)) % 16.68/16.90 (step @p386 :rule nary_cong :premises (@p99 @p385) :args ((or @t142 @t6))) % 16.68/16.90 (step @p387 :rule trans :premises (@p386 @p384)) % 16.68/16.90 (step @p388 :rule bool-impl-elim :args (@t8 @t6)) % 16.68/16.90 (step @p389 :rule trans :premises (@p388 @p387)) % 16.68/16.90 (step @p390 :rule cong :premises (@p389) :args (@t10)) % 16.68/16.90 (step @p391 :rule eq_resolve :premises (@p4 @p390)) % 16.68/16.90 (step @p392 :rule instantiate :premises (@p391) :args (@t201)) % 16.68/16.90 (step @p393 :rule cnf_or_pos :args (@t230)) % 16.68/16.90 (step @p394 :rule reordering :premises (@p393) :args ((or @t203 @t202 @t148 (not @t230)))) % 16.68/16.90 (step @p395 :rule chain_m_resolution :premises (@p394 @p263 @p262 @p392) :args (@t148 @t205 (@list @t92 @t91 @t230))) % 16.68/16.91 (step @p396 :rule and_elim :premises (@p48) :args (0)) % 16.68/16.91 (step @p397 :rule cnf_or_pos :args (@t232)) % 16.68/16.91 (step @p398 :rule reordering :premises (@p397) :args ((or @t152 @t153 @t149 @t231 @t159 (not @t232)))) % 16.68/16.91 (step @p399 :rule chain_m_resolution :premises (@p398 @p315 @p396 @p395 @p383 @p158) :args (@t231 (@list false false false true false) (@list @t90 @t101 @t148 @t159 @t232))) % 16.68/16.91 (step @p400 :rule cnf_and_pos :args (@t231 0)) % 16.68/16.91 (step @p401 :rule reordering :premises (@p400) :args ((or @t157 (not @t231)))) % 16.68/16.91 (step @p402 :rule chain_m_resolution :premises (@p401 @p399) :args (@t157 @t161 (@list @t231))) % 16.68/16.91 (step @p403 :rule refl :args (@t233)) % 16.68/16.91 (step @p404 :rule bool-double-not-elim :args (@t156)) % 16.68/16.91 (step @p405 :rule nary_cong :premises (@p404 @p403) :args ((or (not @t157) @t233))) % 16.68/16.91 (step @p406 :rule nary_cong :premises (@p129 @p127) :args (@t108)) % 16.68/16.91 (step @p407 :rule cong :premises (@p406) :args (@t109)) % 16.68/16.91 (step @p408 :rule eq_resolve :premises (@p51 @p407)) % 16.68/16.91 (step @p409 :rule not_and :premises (@p408)) % 16.68/16.91 (step @p410 :rule eq_resolve :premises (@p409 @p405)) % 16.68/16.91 (step @p411 :rule chain_m_resolution :premises (@p410 @p402) :args (@t233 @t234 (@list @t156))) % 16.68/16.91 (step @p412 :rule cnf_and_pos :args (@t158 1)) % 16.68/16.91 (step @p413 :rule reordering :premises (@p412) :args ((or @t106 @t235))) % 16.68/16.91 (step @p414 :rule chain_m_resolution :premises (@p413 @p411) :args (@t235 @t234 (@list @t106))) % 16.68/16.91 (step @p415 :rule cnf_or_pos :args (@t160)) % 16.68/16.91 (step @p416 :rule reordering :premises (@p415) :args ((or @t152 @t153 @t149 @t159 @t151 @t158 (not @t160)))) % 16.68/16.91 (step @p417 :rule chain_m_resolution :premises (@p416 @p315 @p396 @p395 @p383 @p414 @p145) :args (@t151 (@list false false false true true false) (@list @t90 @t101 @t148 @t159 @t158 @t160))) % 16.68/16.91 (step @p418 :rule cnf_or_pos :args (@t236)) % 16.68/16.91 (step @p419 :rule reordering :premises (@p418) :args ((or @t152 @t153 @t228 @t169 @t171 @t150 @t237))) % 16.68/16.91 (step @p420 :rule chain_m_resolution :premises (@p419 @p315 @p396 @p350 @p336 @p332 @p417) :args (@t237 (@list false false false false false true) (@list @t90 @t101 @t227 @t168 @t170 @t150))) % 16.68/16.91 (assume-push @p447 @t238) % 16.68/16.91 (step @p422 :rule instantiate :premises (@p73) :args ((@list tptp.xr @t98 tptp.xp))) % 16.68/16.91 (step-pop @p448 :rule scope :premises (@p422)) % 16.68/16.91 (step @p423 :rule process_scope :premises (@p448) :args (@t236)) % 16.68/16.91 (step @p425 :rule implies_elim :premises (@p423)) % 16.68/16.91 (step @p426 false :rule chain_m_resolution :premises (@p425 @p420 @p73) :args (false (@list true false) (@list @t236 @t238))) % 16.68/16.91 ) % 16.68/16.91 % SZS output end Proof % 16.68/16.91 % cvc5 exiting %------------------------------------------------------------------------------