%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM474+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 : n022.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 08:39:32 AM UTC 2026 % Result : Theorem 15.92s 16.76s % Output : Proof 15.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM474+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 % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:22:23 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.92/16.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.92/16.76 --- Run --no-e-matching --full-saturate-quant at 6... % 15.92/16.76 % SZS status Theorem % 15.92/16.76 % SZS output start Proof % 15.92/16.76 ( % 15.92/16.76 (declare-sort $$unsorted 0) % 15.92/16.76 (declare-const tptp.xr $$unsorted) % 15.92/16.76 (declare-const tptp.xq $$unsorted) % 15.92/16.76 (declare-const tptp.xp $$unsorted) % 15.92/16.76 (declare-const tptp.sz10 $$unsorted) % 15.92/16.76 (declare-const tptp.xl $$unsorted) % 15.92/16.76 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.92/16.76 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 15.92/16.76 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 15.92/16.76 (declare-const tptp.sz00 $$unsorted) % 15.92/16.76 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.92/16.76 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.92/16.76 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.92/16.76 (declare-const tptp.xn $$unsorted) % 15.92/16.76 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 15.92/16.76 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 15.92/16.76 (declare-const tptp.xm $$unsorted) % 15.92/16.76 (define @t1 () (@var "W0" $$unsorted)) % 15.92/16.76 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 15.92/16.76 (define @t3 () (@list @t1)) % 15.92/16.76 (define @t4 () (tptp.aNaturalNumber0 tptp.sz10)) % 15.92/16.76 (define @t5 () (@var "W1" $$unsorted)) % 15.92/16.76 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 15.92/16.76 (define @t7 () (tptp.aNaturalNumber0 @t6)) % 15.92/16.76 (define @t8 () (tptp.aNaturalNumber0 @t5)) % 15.92/16.76 (define @t9 () (and @t2 @t8)) % 15.92/16.76 (define @t10 () (@list @t1 @t5)) % 15.92/16.76 (define @t11 () (forall @t10 (=> @t9 @t7))) % 15.92/16.76 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 15.92/16.76 (define @t13 () (tptp.aNaturalNumber0 @t12)) % 15.92/16.76 (define @t14 () (forall @t10 (=> @t9 @t13))) % 15.92/16.76 (define @t15 () (tptp.sdtpldt0 @t5 @t1)) % 15.92/16.76 (define @t16 () (@var "W2" $$unsorted)) % 15.92/16.76 (define @t17 () (tptp.sdtpldt0 @t5 @t16)) % 15.92/16.76 (define @t18 () (tptp.aNaturalNumber0 @t16)) % 15.92/16.76 (define @t19 () (and @t2 @t8 @t18)) % 15.92/16.76 (define @t20 () (@list @t1 @t5 @t16)) % 15.92/16.76 (define @t21 () (tptp.sdtasdt0 @t5 @t1)) % 15.92/16.76 (define @t22 () (= @t12 @t21)) % 15.92/16.76 (define @t23 () (forall @t10 (=> @t9 @t22))) % 15.92/16.76 (define @t24 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 15.92/16.76 (define @t25 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 15.92/16.76 (define @t26 () (and (= @t25 @t1) @t24)) % 15.92/16.76 (define @t27 () (=> @t2 @t26)) % 15.92/16.76 (define @t28 () (forall @t3 @t27)) % 15.92/16.76 (define @t29 () (tptp.sdtasdt0 @t16 @t1)) % 15.92/16.76 (define @t30 () (tptp.sdtasdt0 @t1 @t16)) % 15.92/16.76 (define @t31 () (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t12 @t30)) (= (tptp.sdtasdt0 @t17 @t1) (tptp.sdtpldt0 @t21 @t29)))) % 15.92/16.76 (define @t32 () (forall @t20 (=> @t19 @t31))) % 15.92/16.76 (define @t33 () (= @t5 @t16)) % 15.92/16.76 (define @t34 () (tptp.sdtpldt0 @t16 @t1)) % 15.92/16.76 (define @t35 () (tptp.sdtpldt0 @t1 @t16)) % 15.92/16.76 (define @t36 () (= @t21 @t29)) % 15.92/16.76 (define @t37 () (= @t12 @t30)) % 15.92/16.76 (define @t38 () (and @t8 @t18)) % 15.92/16.76 (define @t39 () (= @t1 tptp.sz00)) % 15.92/16.76 (define @t40 () (not @t39)) % 15.92/16.76 (define @t41 () (= @t5 tptp.sz00)) % 15.92/16.76 (define @t42 () (and @t18 (= @t35 @t5))) % 15.92/16.76 (define @t43 () (@list @t16)) % 15.92/16.76 (define @t44 () (tptp.sdtlseqdt0 @t1 @t5)) % 15.92/16.76 (define @t45 () (tptp.sdtmndt0 @t5 @t1)) % 15.92/16.76 (define @t46 () (= @t16 @t45)) % 15.92/16.76 (define @t47 () (forall @t43 (= @t46 @t42))) % 15.92/16.76 (define @t48 () (=> @t44 @t47)) % 15.92/16.76 (define @t49 () (=> @t9 @t48)) % 15.92/16.76 (define @t50 () (forall @t10 @t49)) % 15.92/16.76 (define @t51 () (= @t1 @t5)) % 15.92/16.76 (define @t52 () (tptp.sdtlseqdt0 @t5 @t1)) % 15.92/16.76 (define @t53 () (tptp.sdtlseqdt0 @t5 @t16)) % 15.92/16.76 (define @t54 () (tptp.sdtpldt0 @t16 @t5)) % 15.92/16.76 (define @t55 () (and (not @t51) @t44)) % 15.92/16.76 (define @t56 () (tptp.iLess0 @t1 @t5)) % 15.92/16.76 (define @t57 () (and @t18 (= @t5 @t30))) % 15.92/16.76 (define @t58 () (tptp.doDivides0 @t1 @t5)) % 15.92/16.76 (define @t59 () (tptp.sdtsldt0 @t5 @t1)) % 15.92/16.76 (define @t60 () (= @t16 @t59)) % 15.92/16.76 (define @t61 () (forall @t43 (= @t60 @t57))) % 15.92/16.76 (define @t62 () (and @t40 @t58)) % 15.92/16.76 (define @t63 () (=> @t62 @t61)) % 15.92/16.76 (define @t64 () (=> @t9 @t63)) % 15.92/16.76 (define @t65 () (forall @t10 @t64)) % 15.92/16.76 (define @t66 () (tptp.doDivides0 @t1 @t16)) % 15.92/16.76 (define @t67 () (tptp.aNaturalNumber0 tptp.xn)) % 15.92/16.76 (define @t68 () (tptp.aNaturalNumber0 tptp.xm)) % 15.92/16.76 (define @t69 () (tptp.aNaturalNumber0 tptp.xl)) % 15.92/16.76 (define @t70 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 15.92/16.76 (define @t71 () (tptp.doDivides0 tptp.xl tptp.xm)) % 15.92/16.76 (define @t72 () (= tptp.xl tptp.sz00)) % 15.92/16.76 (define @t73 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 15.92/16.76 (define @t74 () (tptp.sdtsldt0 @t70 tptp.xl)) % 15.92/16.76 (define @t75 () (tptp.sdtlseqdt0 tptp.xp tptp.xq)) % 15.92/16.76 (define @t76 () (tptp.sdtmndt0 tptp.xq tptp.xp)) % 15.92/16.76 (define @t77 () (= tptp.xr @t76)) % 15.92/16.76 (define @t78 () (tptp.sdtasdt0 tptp.xl tptp.xp)) % 15.92/16.76 (define @t79 () (tptp.sdtpldt0 @t78 tptp.xn)) % 15.92/16.76 (define @t80 () (tptp.sdtasdt0 tptp.xl tptp.xr)) % 15.92/16.76 (define @t81 () (tptp.sdtpldt0 @t78 @t80)) % 15.92/16.76 (define @t82 () (= @t81 @t79)) % 15.92/16.76 (define @t83 () (not @t82)) % 15.92/16.76 (define @t84 () (tptp.sdtmndt0 @t74 @t73)) % 15.92/16.76 (define @t85 () (tptp.sdtasdt0 tptp.xl @t73)) % 15.92/16.76 (define @t86 () (tptp.sdtpldt0 @t85 (tptp.sdtasdt0 tptp.xl @t84))) % 15.92/16.76 (define @t87 () (tptp.sdtpldt0 @t85 tptp.xn)) % 15.92/16.76 (define @t88 () (not @t8)) % 15.92/16.76 (define @t89 () (not @t2)) % 15.92/16.76 (define @t90 () (or @t89 @t88)) % 15.92/16.76 (define @t91 () (not @t9)) % 15.92/16.76 (define @t92 () (@list tptp.sz10 @t70)) % 15.92/16.76 (define @t93 () (tptp.aNaturalNumber0 @t70)) % 15.92/16.76 (define @t94 () (not @t67)) % 15.92/16.76 (define @t95 () (not @t68)) % 15.92/16.76 (define @t96 () (or @t95 @t94 @t93)) % 15.92/16.76 (define @t97 () (@list false false false)) % 15.92/16.76 (define @t98 () (tptp.sdtasdt0 @t70 tptp.sz10)) % 15.92/16.76 (define @t99 () (tptp.sdtasdt0 tptp.sz10 @t70)) % 15.92/16.76 (define @t100 () (= @t99 @t98)) % 15.92/16.76 (define @t101 () (not @t93)) % 15.92/16.76 (define @t102 () (not @t4)) % 15.92/16.76 (define @t103 () (or @t102 @t101 @t100)) % 15.92/16.76 (define @t104 () (and (= @t1 @t25) @t24)) % 15.92/16.76 (define @t105 () (= @t70 @t98)) % 15.92/16.76 (define @t106 () (and @t105 (= @t70 @t99))) % 15.92/16.76 (define @t107 () (or @t101 @t106)) % 15.92/16.76 (define @t108 () (@list false false)) % 15.92/16.76 (define @t109 () (@list false)) % 15.92/16.76 (define @t110 () (@var "BOUND_VARIABLE_7941" $$unsorted)) % 15.92/16.76 (define @t111 () (and (tptp.aNaturalNumber0 @t110) (= @t5 (tptp.sdtasdt0 @t1 @t110)))) % 15.92/16.76 (define @t112 () (= @t111 (= @t110 @t59))) % 15.92/16.76 (define @t113 () (not @t58)) % 15.92/16.76 (define @t114 () (or @t89 @t88 @t39 @t113 @t112)) % 15.92/16.76 (define @t115 () (@list @t1 @t5 @t110)) % 15.92/16.76 (define @t116 () (forall @t115 @t114)) % 15.92/16.76 (define @t117 () (@list @t110)) % 15.92/16.76 (define @t118 () (forall @t117 @t114)) % 15.92/16.76 (define @t119 () (forall @t117 @t112)) % 15.92/16.76 (define @t120 () (@list @t16)) % 15.92/16.76 (define @t121 () (or @t89 @t88 @t39 @t113 @t119)) % 15.92/16.76 (define @t122 () (forall @t43 (= @t57 @t60))) % 15.92/16.76 (define @t123 () (or @t89 @t88 @t39 @t113 @t122)) % 15.92/16.76 (define @t124 () (or @t39 @t113 @t122)) % 15.92/16.76 (define @t125 () (=> @t62 @t122)) % 15.92/16.76 (define @t126 () (tptp.sdtsldt0 @t99 tptp.xl)) % 15.92/16.76 (define @t127 () (= @t99 (tptp.sdtasdt0 tptp.xl @t74))) % 15.92/16.76 (define @t128 () (tptp.aNaturalNumber0 @t74)) % 15.92/16.76 (define @t129 () (and @t128 @t127)) % 15.92/16.76 (define @t130 () (= @t129 (= @t126 @t74))) % 15.92/16.76 (define @t131 () (tptp.doDivides0 tptp.xl @t99)) % 15.92/16.76 (define @t132 () (not @t131)) % 15.92/16.76 (define @t133 () (tptp.aNaturalNumber0 @t99)) % 15.92/16.76 (define @t134 () (not @t133)) % 15.92/16.76 (define @t135 () (not @t69)) % 15.92/16.76 (define @t136 () (or @t135 @t134 @t72 @t132 @t130)) % 15.92/16.76 (define @t137 () (forall @t115 (or @t89 @t88 @t39 @t113 (= @t111 (= @t59 @t110))))) % 15.92/16.76 (define @t138 () (= @t74 @t126)) % 15.92/16.76 (define @t139 () (= @t129 @t138)) % 15.92/16.76 (define @t140 () (= tptp.sz00 tptp.xl)) % 15.92/16.76 (define @t141 () (or @t135 @t134 @t140 @t132 @t139)) % 15.92/16.76 (define @t142 () (@list @t137)) % 15.92/16.76 (define @t143 () (or @t102 @t101 @t133)) % 15.92/16.76 (define @t144 () (@list true false false false false)) % 15.92/16.76 (define @t145 () (not @t129)) % 15.92/16.76 (define @t146 () (@list @t129)) % 15.92/16.76 (define @t147 () (@list tptp.sz10 @t74)) % 15.92/16.76 (define @t148 () (tptp.sdtasdt0 @t74 tptp.sz10)) % 15.92/16.76 (define @t149 () (tptp.sdtasdt0 tptp.sz10 @t74)) % 15.92/16.76 (define @t150 () (= @t149 @t148)) % 15.92/16.76 (define @t151 () (not @t128)) % 15.92/16.76 (define @t152 () (or @t102 @t151 @t150)) % 15.92/16.76 (define @t153 () (= @t74 @t148)) % 15.92/16.76 (define @t154 () (and @t153 (= @t74 @t149))) % 15.92/16.76 (define @t155 () (or @t151 @t154)) % 15.92/16.76 (define @t156 () (= tptp.xm @t85)) % 15.92/16.76 (define @t157 () (tptp.aNaturalNumber0 @t73)) % 15.92/16.76 (define @t158 () (and @t157 @t156)) % 15.92/16.76 (define @t159 () (= @t73 @t73)) % 15.92/16.76 (define @t160 () (not @t71)) % 15.92/16.76 (define @t161 () (or @t135 @t95 @t72 @t160 (= @t158 @t159))) % 15.92/16.76 (define @t162 () (or @t135 @t95 @t140 @t160 @t158)) % 15.92/16.76 (define @t163 () (not @t158)) % 15.92/16.76 (define @t164 () (@list @t158)) % 15.92/16.76 (define @t165 () (@var "BOUND_VARIABLE_7814" $$unsorted)) % 15.92/16.76 (define @t166 () (= @t45 @t165)) % 15.92/16.76 (define @t167 () (and (tptp.aNaturalNumber0 @t165) (= @t5 (tptp.sdtpldt0 @t1 @t165)))) % 15.92/16.76 (define @t168 () (= (= @t165 @t45) @t167)) % 15.92/16.76 (define @t169 () (not @t44)) % 15.92/16.76 (define @t170 () (or @t89 @t88 @t169 @t168)) % 15.92/16.76 (define @t171 () (@list @t1 @t5 @t165)) % 15.92/16.76 (define @t172 () (forall @t171 @t170)) % 15.92/16.76 (define @t173 () (@list @t165)) % 15.92/16.76 (define @t174 () (forall @t173 @t170)) % 15.92/16.76 (define @t175 () (forall @t173 @t168)) % 15.92/16.76 (define @t176 () (or @t89 @t88 @t169 @t175)) % 15.92/16.76 (define @t177 () (and @t18 (= @t5 @t35))) % 15.92/16.76 (define @t178 () (forall @t43 (= @t46 @t177))) % 15.92/16.76 (define @t179 () (or @t89 @t88 @t169 @t178)) % 15.92/16.76 (define @t180 () (=> @t44 @t178)) % 15.92/16.76 (define @t181 () (tptp.sdtmndt0 @t149 @t73)) % 15.92/16.76 (define @t182 () (= @t149 (tptp.sdtpldt0 @t73 @t84))) % 15.92/16.76 (define @t183 () (tptp.aNaturalNumber0 @t84)) % 15.92/16.76 (define @t184 () (and @t183 @t182)) % 15.92/16.76 (define @t185 () (= @t184 (= @t181 @t84))) % 15.92/16.76 (define @t186 () (tptp.sdtlseqdt0 @t73 @t149)) % 15.92/16.76 (define @t187 () (not @t186)) % 15.92/16.76 (define @t188 () (tptp.aNaturalNumber0 @t149)) % 15.92/16.76 (define @t189 () (not @t188)) % 15.92/16.76 (define @t190 () (not @t157)) % 15.92/16.76 (define @t191 () (or @t190 @t189 @t187 @t185)) % 15.92/16.76 (define @t192 () (forall @t171 (or @t89 @t88 @t169 (= @t167 @t166)))) % 15.92/16.76 (define @t193 () (= @t84 @t181)) % 15.92/16.76 (define @t194 () (= @t184 @t193)) % 15.92/16.76 (define @t195 () (or @t190 @t189 @t187 @t194)) % 15.92/16.76 (define @t196 () (or @t102 @t151 @t188)) % 15.92/16.76 (define @t197 () (@list false false false false)) % 15.92/16.76 (define @t198 () (not @t184)) % 15.92/16.76 (define @t199 () (@list @t184)) % 15.92/16.76 (define @t200 () (@list tptp.sz10 @t84)) % 15.92/16.76 (define @t201 () (tptp.sdtasdt0 @t84 tptp.sz10)) % 15.92/16.76 (define @t202 () (tptp.sdtasdt0 tptp.sz10 @t84)) % 15.92/16.76 (define @t203 () (= @t202 @t201)) % 15.92/16.76 (define @t204 () (not @t183)) % 15.92/16.76 (define @t205 () (or @t102 @t204 @t203)) % 15.92/16.76 (define @t206 () (= @t84 @t201)) % 15.92/16.76 (define @t207 () (and @t206 (= @t84 @t202))) % 15.92/16.76 (define @t208 () (or @t204 @t207)) % 15.92/16.76 (define @t209 () (not @t18)) % 15.92/16.76 (define @t210 () (or @t89 @t88 @t209)) % 15.92/16.76 (define @t211 () (tptp.aNaturalNumber0 @t202)) % 15.92/16.76 (define @t212 () (or @t102 @t204 @t211)) % 15.92/16.76 (define @t213 () (tptp.sdtpldt0 @t73 @t202)) % 15.92/16.76 (define @t214 () (tptp.sdtasdt0 tptp.xl @t202)) % 15.92/16.76 (define @t215 () (tptp.sdtpldt0 @t85 @t214)) % 15.92/16.76 (define @t216 () (tptp.sdtasdt0 tptp.xl @t213)) % 15.92/16.76 (define @t217 () (= @t216 @t215)) % 15.92/16.76 (define @t218 () (and @t217 (= (tptp.sdtasdt0 @t213 tptp.xl) (tptp.sdtpldt0 (tptp.sdtasdt0 @t73 tptp.xl) (tptp.sdtasdt0 @t202 tptp.xl))))) % 15.92/16.76 (define @t219 () (not @t211)) % 15.92/16.76 (define @t220 () (or @t135 @t190 @t219 @t218)) % 15.92/16.76 (define @t221 () (not @t217)) % 15.92/16.76 (define @t222 () (not @t127)) % 15.92/16.76 (define @t223 () (not @t182)) % 15.92/16.76 (define @t224 () (not @t156)) % 15.92/16.76 (define @t225 () (not @t100)) % 15.92/16.76 (define @t226 () (not @t105)) % 15.92/16.76 (define @t227 () (not @t203)) % 15.92/16.76 (define @t228 () (not @t206)) % 15.92/16.76 (define @t229 () (not @t150)) % 15.92/16.76 (define @t230 () (not @t153)) % 15.92/16.76 (define @t231 () (= @t87 @t86)) % 15.92/16.76 (define @t232 () (not @t231)) % 15.92/16.76 (define @t233 () (and @t217 @t221)) % 15.92/16.76 (assume @p1 (forall @t3 (=> @t2 true))) % 15.92/16.76 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 15.92/16.76 (assume @p3 (and @t4 (not (= tptp.sz10 tptp.sz00)))) % 15.92/16.76 (assume @p4 @t11) % 15.92/16.76 (assume @p5 @t14) % 15.92/16.76 (assume @p6 (forall @t10 (=> @t9 (= @t6 @t15)))) % 15.92/16.76 (assume @p7 (forall @t20 (=> @t19 (= (tptp.sdtpldt0 @t6 @t16) (tptp.sdtpldt0 @t1 @t17))))) % 15.92/16.76 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 15.92/16.76 (assume @p9 @t23) % 15.92/16.76 (assume @p10 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t12 @t16) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t16)))))) % 15.92/16.76 (assume @p11 @t28) % 15.92/16.76 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 15.92/16.76 (assume @p13 @t32) % 15.92/16.76 (assume @p14 (forall @t20 (=> @t19 (=> (or (= @t6 @t35) (= @t15 @t34)) @t33)))) % 15.92/16.76 (assume @p15 (forall @t3 (=> @t2 (=> @t40 (forall (@list @t5 @t16) (=> @t38 (=> (or @t37 @t36) @t33))))))) % 15.92/16.76 (assume @p16 (forall @t10 (=> @t9 (=> (= @t6 tptp.sz00) (and @t39 @t41))))) % 15.92/16.76 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or @t39 @t41))))) % 15.92/16.76 (assume @p18 (forall @t10 (=> @t9 (= @t44 (exists @t43 @t42))))) % 15.92/16.76 (assume @p19 @t50) % 15.92/16.76 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 15.92/16.76 (assume @p21 (forall @t10 (=> @t9 (=> (and @t44 @t52) @t51)))) % 15.92/16.76 (assume @p22 (forall @t20 (=> @t19 (=> (and @t44 @t53) (tptp.sdtlseqdt0 @t1 @t16))))) % 15.92/16.76 (assume @p23 (forall @t10 (=> @t9 (or @t44 (and (not (= @t5 @t1)) @t52))))) % 15.92/16.76 (assume @p24 (forall @t10 (=> @t9 (=> @t55 (forall @t43 (=> @t18 (and (not (= @t34 @t54)) (tptp.sdtlseqdt0 @t34 @t54) (not (= @t35 @t17)) (tptp.sdtlseqdt0 @t35 @t17)))))))) % 15.92/16.76 (assume @p25 (forall @t20 (=> @t19 (=> (and @t40 (not @t33) @t53) (and (not @t37) (tptp.sdtlseqdt0 @t12 @t30) (not @t36) (tptp.sdtlseqdt0 @t21 @t29)))))) % 15.92/16.76 (assume @p26 (forall @t3 (=> @t2 (or @t39 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 15.92/16.76 (assume @p27 (forall @t10 (=> @t9 (=> @t40 (tptp.sdtlseqdt0 @t5 @t21))))) % 15.92/16.76 (assume @p28 (forall @t10 (=> @t9 (=> @t56 true)))) % 15.92/16.76 (assume @p29 (forall @t10 (=> @t9 (=> @t55 @t56)))) % 15.92/16.76 (assume @p30 (forall @t10 (=> @t9 (= @t58 (exists @t43 @t57))))) % 15.92/16.76 (assume @p31 @t65) % 15.92/16.76 (assume @p32 (forall @t20 (=> @t19 (=> (and @t58 (tptp.doDivides0 @t5 @t16)) @t66)))) % 15.92/16.76 (assume @p33 (forall @t20 (=> @t19 (=> (and @t58 @t66) (tptp.doDivides0 @t1 @t17))))) % 15.92/16.76 (assume @p34 (and @t69 @t68 @t67)) % 15.92/16.76 (assume @p35 (and @t71 (tptp.doDivides0 tptp.xl @t70))) % 15.92/16.76 (assume @p36 (not @t72)) % 15.92/16.76 (assume @p37 (= tptp.xp @t73)) % 15.92/16.76 (assume @p38 (= tptp.xq @t74)) % 15.92/16.76 (assume @p39 @t75) % 15.92/16.76 (assume @p40 @t77) % 15.92/16.76 (assume @p41 @t83) % 15.92/16.76 (assume @p42 true) % 15.92/16.76 (step @p43 :rule eq-symm :args (@t86 @t87)) % 15.92/16.76 (step @p44 :rule cong :premises (@p43) :args ((not (= @t86 @t87)))) % 15.92/16.76 (step @p45 :rule refl :args (tptp.xn)) % 15.92/16.76 (step @p46 :rule refl :args (tptp.xl)) % 15.92/16.76 (step @p47 :rule cong :premises (@p46 @p37) :args (@t78)) % 15.92/16.76 (step @p48 :rule cong :premises (@p47 @p45) :args (@t79)) % 15.92/16.76 (step @p49 :rule cong :premises (@p38 @p37) :args (@t76)) % 15.92/16.76 (step @p50 :rule refl :args (tptp.xr)) % 15.92/16.76 (step @p51 :rule cong :premises (@p50 @p49) :args (@t77)) % 15.92/16.76 (step @p52 :rule eq_resolve :premises (@p40 @p51)) % 15.92/16.76 (step @p53 :rule cong :premises (@p46 @p52) :args (@t80)) % 15.92/16.76 (step @p54 :rule cong :premises (@p47 @p53) :args (@t81)) % 15.92/16.76 (step @p55 :rule cong :premises (@p54 @p48) :args (@t82)) % 15.92/16.76 (step @p56 :rule cong :premises (@p55) :args (@t83)) % 15.92/16.76 (step @p57 :rule trans :premises (@p56 @p44)) % 15.92/16.76 (step @p58 :rule eq_resolve :premises (@p41 @p57)) % 15.92/16.76 (step @p59 :rule aci_norm :args ((= (or @t90 @t22) (or @t89 @t88 @t22)))) % 15.92/16.76 (step @p60 :rule refl :args (@t22)) % 15.92/16.76 (step @p61 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 15.92/16.76 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t91 @t22))) % 15.92/16.76 (step @p63 :rule trans :premises (@p62 @p59)) % 15.92/16.76 (step @p64 :rule bool-impl-elim :args (@t9 @t22)) % 15.92/16.76 (step @p65 :rule trans :premises (@p64 @p63)) % 15.92/16.76 (step @p66 :rule cong :premises (@p65) :args (@t23)) % 15.92/16.76 (step @p67 :rule eq_resolve :premises (@p9 @p66)) % 15.92/16.76 (step @p68 :rule instantiate :premises (@p67) :args (@t92)) % 15.92/16.76 (step @p69 :rule aci_norm :args ((= (or @t90 @t7) (or @t89 @t88 @t7)))) % 15.92/16.76 (step @p70 :rule refl :args (@t7)) % 15.92/16.76 (step @p71 :rule nary_cong :premises (@p61 @p70) :args ((or @t91 @t7))) % 15.92/16.76 (step @p72 :rule trans :premises (@p71 @p69)) % 15.92/16.76 (step @p73 :rule bool-impl-elim :args (@t9 @t7)) % 15.92/16.76 (step @p74 :rule trans :premises (@p73 @p72)) % 15.92/16.76 (step @p75 :rule cong :premises (@p74) :args (@t11)) % 15.92/16.76 (step @p76 :rule eq_resolve :premises (@p4 @p75)) % 15.92/16.76 (step @p77 :rule instantiate :premises (@p76) :args ((@list tptp.xm tptp.xn))) % 15.92/16.76 (step @p78 :rule and_elim :premises (@p34) :args (2)) % 15.92/16.76 (step @p79 :rule and_elim :premises (@p34) :args (1)) % 15.92/16.76 (step @p80 :rule cnf_or_pos :args (@t96)) % 15.92/16.76 (step @p81 :rule reordering :premises (@p80) :args ((or @t95 @t94 @t93 (not @t96)))) % 15.92/16.76 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p78 @p77) :args (@t93 @t97 (@list @t68 @t67 @t96))) % 15.92/16.76 (step @p83 :rule and_elim :premises (@p3) :args (0)) % 15.92/16.76 (step @p84 :rule cnf_or_pos :args (@t103)) % 15.92/16.76 (step @p85 :rule reordering :premises (@p84) :args ((or @t102 @t101 @t100 (not @t103)))) % 15.92/16.76 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p82 @p68) :args (@t100 @t97 (@list @t4 @t93 @t103))) % 15.92/16.76 (step @p87 :rule bool-impl-elim :args (@t2 @t104)) % 15.92/16.76 (step @p88 :rule cong :premises (@p87) :args ((forall @t3 (=> @t2 @t104)))) % 15.92/16.76 (step @p89 :rule refl :args (@t24)) % 15.92/16.76 (step @p90 :rule eq-symm :args (@t25 @t1)) % 15.92/16.76 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t26)) % 15.92/16.76 (step @p92 :rule refl :args (@t2)) % 15.92/16.76 (step @p93 :rule cong :premises (@p92 @p91) :args (@t27)) % 15.92/16.76 (step @p94 :rule cong :premises (@p93) :args (@t28)) % 15.92/16.76 (step @p95 :rule trans :premises (@p94 @p88)) % 15.92/16.76 (step @p96 :rule eq_resolve :premises (@p11 @p95)) % 15.92/16.76 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t70))) % 15.92/16.76 (step @p98 :rule cnf_or_pos :args (@t107)) % 15.92/16.76 (step @p99 :rule reordering :premises (@p98) :args ((or @t101 @t106 (not @t107)))) % 15.92/16.76 (step @p100 :rule chain_m_resolution :premises (@p99 @p82 @p97) :args (@t106 @t108 (@list @t93 @t107))) % 15.92/16.76 (step @p101 :rule cnf_and_pos :args (@t106 0)) % 15.92/16.76 (step @p102 :rule reordering :premises (@p101) :args ((or @t105 (not @t106)))) % 15.92/16.76 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t105 @t109 (@list @t106))) % 15.92/16.76 (step @p104 :rule eq-symm :args (@t110 @t59)) % 15.92/16.76 (step @p105 :rule refl :args (@t111)) % 15.92/16.76 (step @p106 :rule cong :premises (@p105 @p104) :args (@t112)) % 15.92/16.76 (step @p107 :rule refl :args (@t113)) % 15.92/16.76 (step @p108 :rule refl :args (@t39)) % 15.92/16.76 (step @p109 :rule refl :args (@t88)) % 15.92/16.76 (step @p110 :rule refl :args (@t89)) % 15.92/16.76 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108 @p107 @p106) :args (@t114)) % 15.92/16.76 (step @p112 :rule cong :premises (@p111) :args (@t116)) % 15.92/16.76 (step @p113 :rule quant-merge-prenex :args ((= (forall @t10 @t118) @t116))) % 15.92/16.76 (step @p114 :rule alpha_equiv :args (@t119 (@list @t110) @t120)) % 15.92/16.76 (step @p115 :rule refl :args (@t113)) % 15.92/16.76 (step @p116 :rule refl :args (@t39)) % 15.92/16.76 (step @p117 :rule refl :args (@t88)) % 15.92/16.76 (step @p118 :rule refl :args (@t89)) % 15.92/16.76 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p115 @p114) :args (@t121)) % 15.92/16.76 (step @p120 :rule quant-miniscope-or :args ((= @t118 @t121))) % 15.92/16.76 (step @p121 :rule trans :premises (@p120 @p119)) % 15.92/16.76 (step @p122 :rule symm :premises (@p121)) % 15.92/16.76 (step @p123 :rule cong :premises (@p122) :args ((forall @t10 @t123))) % 15.92/16.76 (step @p124 :rule trans :premises (@p123 @p113)) % 15.92/16.76 (step @p125 :rule trans :premises (@p124 @p112)) % 15.92/16.76 (step @p126 :rule aci_norm :args ((= (or @t90 @t124) @t123))) % 15.92/16.76 (step @p127 :rule aci_norm :args ((= (or (or @t39 @t113) @t122) @t124))) % 15.92/16.76 (step @p128 :rule refl :args (@t122)) % 15.92/16.76 (step @p129 :rule bool-double-not-elim :args (@t39)) % 15.92/16.76 (step @p130 :rule nary_cong :premises (@p129 @p115) :args ((or (not @t40) @t113))) % 15.92/16.76 (step @p131 :rule bool-and-de-morgan :args (@t40 @t58 true)) % 15.92/16.76 (step @p132 :rule trans :premises (@p131 @p130)) % 15.92/16.76 (step @p133 :rule nary_cong :premises (@p132 @p128) :args ((or (not @t62) @t122))) % 15.92/16.76 (step @p134 :rule trans :premises (@p133 @p127)) % 15.92/16.76 (step @p135 :rule bool-impl-elim :args (@t62 @t122)) % 15.92/16.76 (step @p136 :rule trans :premises (@p135 @p134)) % 15.92/16.76 (step @p137 :rule nary_cong :premises (@p61 @p136) :args ((or @t91 @t125))) % 15.92/16.76 (step @p138 :rule trans :premises (@p137 @p126)) % 15.92/16.76 (step @p139 :rule bool-impl-elim :args (@t9 @t125)) % 15.92/16.76 (step @p140 :rule trans :premises (@p139 @p138)) % 15.92/16.76 (step @p141 :rule cong :premises (@p140) :args ((forall @t10 (=> @t9 @t125)))) % 15.92/16.76 (step @p142 :rule trans :premises (@p141 @p125)) % 15.92/16.76 (step @p143 :rule eq-symm :args (@t60 @t57)) % 15.92/16.76 (step @p144 :rule cong :premises (@p143) :args (@t61)) % 15.92/16.76 (step @p145 :rule refl :args (@t62)) % 15.92/16.76 (step @p146 :rule cong :premises (@p145 @p144) :args (@t63)) % 15.92/16.76 (step @p147 :rule refl :args (@t9)) % 15.92/16.76 (step @p148 :rule cong :premises (@p147 @p146) :args (@t64)) % 15.92/16.76 (step @p149 :rule cong :premises (@p148) :args (@t65)) % 15.92/16.76 (step @p150 :rule trans :premises (@p149 @p142)) % 15.92/16.76 (step @p151 :rule eq_resolve :premises (@p31 @p150)) % 15.92/16.76 (step @p152 :rule eq-symm :args (@t126 @t74)) % 15.92/16.76 (step @p153 :rule refl :args (@t129)) % 15.92/16.76 (step @p154 :rule cong :premises (@p153 @p152) :args (@t130)) % 15.92/16.76 (step @p155 :rule refl :args (@t132)) % 15.92/16.76 (step @p156 :rule eq-symm :args (tptp.xl tptp.sz00)) % 15.92/16.76 (step @p157 :rule refl :args (@t134)) % 15.92/16.76 (step @p158 :rule refl :args (@t135)) % 15.92/16.76 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155 @p154) :args (@t136)) % 15.92/16.76 (step @p160 :rule refl :args (@t137)) % 15.92/16.76 (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t137 @t136))) % 15.92/16.76 (assume-push @p437 @t137) % 15.92/16.76 (step @p163 :rule instantiate :premises (@p151) :args ((@list tptp.xl @t99 @t74))) % 15.92/16.76 (step-pop @p438 :rule scope :premises (@p163)) % 15.92/16.76 (step @p164 :rule process_scope :premises (@p438) :args (@t136)) % 15.92/16.76 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 15.92/16.76 (step @p167 :rule implies_elim :premises (@p166)) % 15.92/16.76 (step @p168 :rule chain_m_resolution :premises (@p167 @p151) :args (@t141 @t109 @t142)) % 15.92/16.76 (step @p169 :rule and_elim :premises (@p35) :args (1)) % 15.92/16.76 (step @p170 :rule true_intro :premises (@p169)) % 15.92/16.76 (step @p171 :rule symm :premises (@p103)) % 15.92/16.76 (step @p172 :rule trans :premises (@p86 @p171)) % 15.92/16.76 (step @p173 :rule cong :premises (@p46 @p172) :args (@t131)) % 15.92/16.76 (step @p174 :rule trans :premises (@p173 @p170)) % 15.92/16.76 (step @p175 :rule true_elim :premises (@p174)) % 15.92/16.76 (step @p176 :rule aci_norm :args ((= (or @t90 @t13) (or @t89 @t88 @t13)))) % 15.92/16.76 (step @p177 :rule refl :args (@t13)) % 15.92/16.76 (step @p178 :rule nary_cong :premises (@p61 @p177) :args ((or @t91 @t13))) % 15.92/16.76 (step @p179 :rule trans :premises (@p178 @p176)) % 15.92/16.76 (step @p180 :rule bool-impl-elim :args (@t9 @t13)) % 15.92/16.76 (step @p181 :rule trans :premises (@p180 @p179)) % 15.92/16.76 (step @p182 :rule cong :premises (@p181) :args (@t14)) % 15.92/16.76 (step @p183 :rule eq_resolve :premises (@p5 @p182)) % 15.92/16.76 (step @p184 :rule instantiate :premises (@p183) :args (@t92)) % 15.92/16.76 (step @p185 :rule cnf_or_pos :args (@t143)) % 15.92/16.76 (step @p186 :rule reordering :premises (@p185) :args ((or @t102 @t101 @t133 (not @t143)))) % 15.92/16.76 (step @p187 :rule chain_m_resolution :premises (@p186 @p83 @p82 @p184) :args (@t133 @t97 (@list @t4 @t93 @t143))) % 15.92/16.76 (step @p188 :rule and_elim :premises (@p34) :args (0)) % 15.92/16.76 (step @p189 :rule symm :premises (@p36)) % 15.92/16.76 (step @p190 :rule cnf_or_pos :args (@t141)) % 15.92/16.76 (step @p191 :rule reordering :premises (@p190) :args ((or @t140 @t135 @t134 @t132 @t139 (not @t141)))) % 15.92/16.76 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p188 @p187 @p175 @p168) :args (@t139 @t144 (@list @t140 @t69 @t133 @t131 @t141))) % 15.92/16.76 (step @p193 :rule symm :premises (@p86)) % 15.92/16.76 (step @p194 :rule trans :premises (@p103 @p193)) % 15.92/16.76 (step @p195 :rule cong :premises (@p194 @p46) :args (@t74)) % 15.92/16.76 (step @p196 :rule cnf_equiv_pos2 :args (@t139)) % 15.92/16.76 (step @p197 :rule reordering :premises (@p196) :args ((or @t129 (not @t138) (not @t139)))) % 15.92/16.76 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p192) :args (@t129 @t108 (@list @t138 @t139))) % 15.92/16.76 (step @p199 :rule cnf_and_pos :args (@t129 1)) % 15.92/16.76 (step @p200 :rule reordering :premises (@p199) :args ((or @t127 @t145))) % 15.92/16.76 (step @p201 :rule chain_m_resolution :premises (@p200 @p198) :args (@t127 @t109 @t146)) % 15.92/16.76 (step @p202 :rule instantiate :premises (@p67) :args (@t147)) % 15.92/16.76 (step @p203 :rule cnf_and_pos :args (@t129 0)) % 15.92/16.76 (step @p204 :rule reordering :premises (@p203) :args ((or @t128 @t145))) % 15.92/16.76 (step @p205 :rule chain_m_resolution :premises (@p204 @p198) :args (@t128 @t109 @t146)) % 15.92/16.76 (step @p206 :rule cnf_or_pos :args (@t152)) % 15.92/16.76 (step @p207 :rule reordering :premises (@p206) :args ((or @t102 @t151 @t150 (not @t152)))) % 15.92/16.76 (step @p208 :rule chain_m_resolution :premises (@p207 @p83 @p205 @p202) :args (@t150 @t97 (@list @t4 @t128 @t152))) % 15.92/16.76 (step @p209 :rule instantiate :premises (@p96) :args ((@list @t74))) % 15.92/16.76 (step @p210 :rule cnf_or_pos :args (@t155)) % 15.92/16.76 (step @p211 :rule reordering :premises (@p210) :args ((or @t151 @t154 (not @t155)))) % 15.92/16.76 (step @p212 :rule chain_m_resolution :premises (@p211 @p205 @p209) :args (@t154 @t108 (@list @t128 @t155))) % 15.92/16.76 (step @p213 :rule cnf_and_pos :args (@t154 0)) % 15.92/16.76 (step @p214 :rule reordering :premises (@p213) :args ((or @t153 (not @t154)))) % 15.92/16.76 (step @p215 :rule chain_m_resolution :premises (@p214 @p212) :args (@t153 @t109 (@list @t154))) % 15.92/16.76 (step @p216 :rule bool-eq-true :args (@t158)) % 15.92/16.76 (step @p217 :rule eq-symm :args (true @t158)) % 15.92/16.76 (step @p218 :rule trans :premises (@p217 @p216)) % 15.92/16.76 (step @p219 :rule refl :args (@t158)) % 15.92/16.76 (step @p220 :rule eq-refl :args (@t73)) % 15.92/16.76 (step @p221 :rule cong :premises (@p220 @p219) :args ((= @t159 @t158))) % 15.92/16.76 (step @p222 :rule trans :premises (@p221 @p218)) % 15.92/16.76 (step @p223 :rule eq-symm :args (@t158 @t159)) % 15.92/16.76 (step @p224 :rule trans :premises (@p223 @p222)) % 15.92/16.76 (step @p225 :rule refl :args (@t160)) % 15.92/16.76 (step @p226 :rule refl :args (@t95)) % 15.92/16.76 (step @p227 :rule nary_cong :premises (@p158 @p226 @p156 @p225 @p224) :args (@t161)) % 15.92/16.76 (step @p228 :rule cong :premises (@p160 @p227) :args ((=> @t137 @t161))) % 15.92/16.76 (assume-push @p439 @t137) % 15.92/16.76 (step @p230 :rule instantiate :premises (@p151) :args ((@list tptp.xl tptp.xm @t73))) % 15.92/16.76 (step-pop @p440 :rule scope :premises (@p230)) % 15.92/16.76 (step @p231 :rule process_scope :premises (@p440) :args (@t161)) % 15.92/16.76 (step @p233 :rule eq_resolve :premises (@p231 @p228)) % 15.92/16.76 (step @p234 :rule implies_elim :premises (@p233)) % 15.92/16.76 (step @p235 :rule chain_m_resolution :premises (@p234 @p151) :args (@t162 @t109 @t142)) % 15.92/16.76 (step @p236 :rule and_elim :premises (@p35) :args (0)) % 15.92/16.76 (step @p237 :rule cnf_or_pos :args (@t162)) % 15.92/16.76 (step @p238 :rule reordering :premises (@p237) :args ((or @t140 @t135 @t95 @t160 @t158 (not @t162)))) % 15.92/16.76 (step @p239 :rule chain_m_resolution :premises (@p238 @p189 @p188 @p79 @p236 @p235) :args (@t158 @t144 (@list @t140 @t69 @t68 @t71 @t162))) % 15.92/16.76 (step @p240 :rule cnf_and_pos :args (@t158 1)) % 15.92/16.76 (step @p241 :rule reordering :premises (@p240) :args ((or @t156 @t163))) % 15.92/16.76 (step @p242 :rule chain_m_resolution :premises (@p241 @p239) :args (@t156 @t109 @t164)) % 15.92/16.76 (step @p243 :rule eq-symm :args (@t166 @t167)) % 15.92/16.76 (step @p244 :rule refl :args (@t167)) % 15.92/16.76 (step @p245 :rule eq-symm :args (@t165 @t45)) % 15.92/16.76 (step @p246 :rule cong :premises (@p245 @p244) :args (@t168)) % 15.92/16.76 (step @p247 :rule trans :premises (@p246 @p243)) % 15.92/16.76 (step @p248 :rule refl :args (@t169)) % 15.92/16.76 (step @p249 :rule nary_cong :premises (@p110 @p109 @p248 @p247) :args (@t170)) % 15.92/16.76 (step @p250 :rule cong :premises (@p249) :args (@t172)) % 15.92/16.76 (step @p251 :rule quant-merge-prenex :args ((= (forall @t10 @t174) @t172))) % 15.92/16.76 (step @p252 :rule alpha_equiv :args (@t175 (@list @t165) @t120)) % 15.92/16.76 (step @p253 :rule refl :args (@t169)) % 15.92/16.76 (step @p254 :rule nary_cong :premises (@p118 @p117 @p253 @p252) :args (@t176)) % 15.92/16.76 (step @p255 :rule quant-miniscope-or :args ((= @t174 @t176))) % 15.92/16.76 (step @p256 :rule trans :premises (@p255 @p254)) % 15.92/16.76 (step @p257 :rule symm :premises (@p256)) % 15.92/16.76 (step @p258 :rule cong :premises (@p257) :args ((forall @t10 @t179))) % 15.92/16.76 (step @p259 :rule trans :premises (@p258 @p251)) % 15.92/16.76 (step @p260 :rule trans :premises (@p259 @p250)) % 15.92/16.76 (step @p261 :rule aci_norm :args ((= (or @t90 (or @t169 @t178)) @t179))) % 15.92/16.76 (step @p262 :rule bool-impl-elim :args (@t44 @t178)) % 15.92/16.76 (step @p263 :rule nary_cong :premises (@p61 @p262) :args ((or @t91 @t180))) % 15.92/16.76 (step @p264 :rule trans :premises (@p263 @p261)) % 15.92/16.76 (step @p265 :rule bool-impl-elim :args (@t9 @t180)) % 15.92/16.76 (step @p266 :rule trans :premises (@p265 @p264)) % 15.92/16.76 (step @p267 :rule cong :premises (@p266) :args ((forall @t10 (=> @t9 @t180)))) % 15.92/16.76 (step @p268 :rule trans :premises (@p267 @p260)) % 15.92/16.76 (step @p269 :rule eq-symm :args (@t177 @t46)) % 15.92/16.76 (step @p270 :rule refl :args (@t46)) % 15.92/16.76 (step @p271 :rule eq-symm :args (@t35 @t5)) % 15.92/16.76 (step @p272 :rule refl :args (@t18)) % 15.92/16.76 (step @p273 :rule nary_cong :premises (@p272 @p271) :args (@t42)) % 15.92/16.76 (step @p274 :rule cong :premises (@p273 @p270) :args ((= @t42 @t46))) % 15.92/16.76 (step @p275 :rule trans :premises (@p274 @p269)) % 15.92/16.76 (step @p276 :rule eq-symm :args (@t46 @t42)) % 15.92/16.76 (step @p277 :rule trans :premises (@p276 @p275)) % 15.92/16.76 (step @p278 :rule cong :premises (@p277) :args (@t47)) % 15.92/16.76 (step @p279 :rule refl :args (@t44)) % 15.92/16.76 (step @p280 :rule cong :premises (@p279 @p278) :args (@t48)) % 15.92/16.76 (step @p281 :rule cong :premises (@p147 @p280) :args (@t49)) % 15.92/16.76 (step @p282 :rule cong :premises (@p281) :args (@t50)) % 15.92/16.76 (step @p283 :rule trans :premises (@p282 @p268)) % 15.92/16.76 (step @p284 :rule eq_resolve :premises (@p19 @p283)) % 15.92/16.76 (step @p285 :rule eq-symm :args (@t181 @t84)) % 15.92/16.76 (step @p286 :rule refl :args (@t184)) % 15.92/16.76 (step @p287 :rule cong :premises (@p286 @p285) :args (@t185)) % 15.92/16.76 (step @p288 :rule refl :args (@t187)) % 15.92/16.76 (step @p289 :rule refl :args (@t189)) % 15.92/16.76 (step @p290 :rule refl :args (@t190)) % 15.92/16.76 (step @p291 :rule nary_cong :premises (@p290 @p289 @p288 @p287) :args (@t191)) % 15.92/16.76 (step @p292 :rule refl :args (@t192)) % 15.92/16.76 (step @p293 :rule cong :premises (@p292 @p291) :args ((=> @t192 @t191))) % 15.92/16.76 (assume-push @p441 @t192) % 15.92/16.76 (step @p295 :rule instantiate :premises (@p284) :args ((@list @t73 @t149 @t84))) % 15.92/16.76 (step-pop @p442 :rule scope :premises (@p295)) % 15.92/16.76 (step @p296 :rule process_scope :premises (@p442) :args (@t191)) % 15.92/16.76 (step @p298 :rule eq_resolve :premises (@p296 @p293)) % 15.92/16.76 (step @p299 :rule implies_elim :premises (@p298)) % 15.92/16.76 (step @p300 :rule chain_m_resolution :premises (@p299 @p284) :args (@t195 @t109 (@list @t192))) % 15.92/16.76 (step @p301 :rule cong :premises (@p37 @p38) :args (@t75)) % 15.92/16.76 (step @p302 :rule eq_resolve :premises (@p39 @p301)) % 15.92/16.76 (step @p303 :rule true_intro :premises (@p302)) % 15.92/16.76 (step @p304 :rule symm :premises (@p215)) % 15.92/16.76 (step @p305 :rule trans :premises (@p208 @p304)) % 15.92/16.76 (step @p306 :rule refl :args (@t73)) % 15.92/16.76 (step @p307 :rule cong :premises (@p306 @p305) :args (@t186)) % 15.92/16.76 (step @p308 :rule trans :premises (@p307 @p303)) % 15.92/16.76 (step @p309 :rule true_elim :premises (@p308)) % 15.92/16.76 (step @p310 :rule cnf_and_pos :args (@t158 0)) % 15.92/16.76 (step @p311 :rule reordering :premises (@p310) :args ((or @t157 @t163))) % 15.92/16.76 (step @p312 :rule chain_m_resolution :premises (@p311 @p239) :args (@t157 @t109 @t164)) % 15.92/16.76 (step @p313 :rule instantiate :premises (@p183) :args (@t147)) % 15.92/16.76 (step @p314 :rule cnf_or_pos :args (@t196)) % 15.92/16.76 (step @p315 :rule reordering :premises (@p314) :args ((or @t102 @t151 @t188 (not @t196)))) % 15.92/16.76 (step @p316 :rule chain_m_resolution :premises (@p315 @p83 @p205 @p313) :args (@t188 @t97 (@list @t4 @t128 @t196))) % 15.92/16.76 (step @p317 :rule cnf_or_pos :args (@t195)) % 15.92/16.76 (step @p318 :rule reordering :premises (@p317) :args ((or @t189 @t190 @t187 @t194 (not @t195)))) % 15.92/16.76 (step @p319 :rule chain_m_resolution :premises (@p318 @p316 @p312 @p309 @p300) :args (@t194 @t197 (@list @t188 @t157 @t186 @t195))) % 15.92/16.76 (step @p320 :rule symm :premises (@p208)) % 15.92/16.76 (step @p321 :rule trans :premises (@p215 @p320)) % 15.92/16.76 (step @p322 :rule cong :premises (@p321 @p306) :args (@t84)) % 15.92/16.76 (step @p323 :rule cnf_equiv_pos2 :args (@t194)) % 15.92/16.76 (step @p324 :rule reordering :premises (@p323) :args ((or @t184 (not @t193) (not @t194)))) % 15.92/16.76 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p319) :args (@t184 @t108 (@list @t193 @t194))) % 15.92/16.76 (step @p326 :rule cnf_and_pos :args (@t184 1)) % 15.92/16.76 (step @p327 :rule reordering :premises (@p326) :args ((or @t182 @t198))) % 15.92/16.76 (step @p328 :rule chain_m_resolution :premises (@p327 @p325) :args (@t182 @t109 @t199)) % 15.92/16.76 (step @p329 :rule instantiate :premises (@p67) :args (@t200)) % 15.92/16.76 (step @p330 :rule cnf_and_pos :args (@t184 0)) % 15.92/16.76 (step @p331 :rule reordering :premises (@p330) :args ((or @t183 @t198))) % 15.92/16.76 (step @p332 :rule chain_m_resolution :premises (@p331 @p325) :args (@t183 @t109 @t199)) % 15.92/16.76 (step @p333 :rule cnf_or_pos :args (@t205)) % 15.92/16.76 (step @p334 :rule reordering :premises (@p333) :args ((or @t102 @t204 @t203 (not @t205)))) % 15.92/16.76 (step @p335 :rule chain_m_resolution :premises (@p334 @p83 @p332 @p329) :args (@t203 @t97 (@list @t4 @t183 @t205))) % 15.92/16.76 (step @p336 :rule instantiate :premises (@p96) :args ((@list @t84))) % 15.92/16.76 (step @p337 :rule cnf_or_pos :args (@t208)) % 15.92/16.76 (step @p338 :rule reordering :premises (@p337) :args ((or @t204 @t207 (not @t208)))) % 15.92/16.76 (step @p339 :rule chain_m_resolution :premises (@p338 @p332 @p336) :args (@t207 @t108 (@list @t183 @t208))) % 15.92/16.76 (step @p340 :rule cnf_and_pos :args (@t207 0)) % 15.92/16.76 (step @p341 :rule reordering :premises (@p340) :args ((or @t206 (not @t207)))) % 15.92/16.76 (step @p342 :rule chain_m_resolution :premises (@p341 @p339) :args (@t206 @t109 (@list @t207))) % 15.92/16.76 (step @p343 :rule aci_norm :args ((= (or @t210 @t31) (or @t89 @t88 @t209 @t31)))) % 15.92/16.76 (step @p344 :rule refl :args (@t31)) % 15.92/16.76 (step @p345 :rule aci_norm :args ((= (or @t89 (or @t88 @t209)) @t210))) % 15.92/16.76 (step @p346 :rule bool-and-de-morgan :args (@t8 @t18 true)) % 15.92/16.76 (step @p347 :rule nary_cong :premises (@p118 @p346) :args ((or @t89 (not @t38)))) % 15.92/16.76 (step @p348 :rule bool-and-de-morgan :args (@t2 @t8 (and @t18))) % 15.92/16.76 (step @p349 :rule trans :premises (@p348 @p347)) % 15.92/16.76 (step @p350 :rule trans :premises (@p349 @p345)) % 15.92/16.76 (step @p351 :rule nary_cong :premises (@p350 @p344) :args ((or (not @t19) @t31))) % 15.92/16.76 (step @p352 :rule trans :premises (@p351 @p343)) % 15.92/16.76 (step @p353 :rule bool-impl-elim :args (@t19 @t31)) % 15.92/16.76 (step @p354 :rule trans :premises (@p353 @p352)) % 15.92/16.76 (step @p355 :rule cong :premises (@p354) :args (@t32)) % 15.92/16.76 (step @p356 :rule eq_resolve :premises (@p13 @p355)) % 15.92/16.76 (step @p357 :rule instantiate :premises (@p356) :args ((@list tptp.xl @t73 @t202))) % 15.92/16.76 (step @p358 :rule instantiate :premises (@p183) :args (@t200)) % 15.92/16.76 (step @p359 :rule cnf_or_pos :args (@t212)) % 15.92/16.76 (step @p360 :rule reordering :premises (@p359) :args ((or @t102 @t204 @t211 (not @t212)))) % 15.92/16.76 (step @p361 :rule chain_m_resolution :premises (@p360 @p83 @p332 @p358) :args (@t211 @t97 (@list @t4 @t183 @t212))) % 15.92/16.76 (step @p362 :rule cnf_or_pos :args (@t220)) % 15.92/16.76 (step @p363 :rule reordering :premises (@p362) :args ((or @t135 @t219 @t190 @t218 (not @t220)))) % 15.92/16.76 (step @p364 :rule chain_m_resolution :premises (@p363 @p188 @p361 @p312 @p357) :args (@t218 @t197 (@list @t69 @t211 @t157 @t220))) % 15.92/16.76 (step @p365 :rule cnf_and_pos :args (@t218 0)) % 15.92/16.76 (step @p366 :rule reordering :premises (@p365) :args ((or @t217 (not @t218)))) % 15.92/16.76 (step @p367 :rule chain_m_resolution :premises (@p366 @p364) :args (@t217 @t109 (@list @t218))) % 15.92/16.76 (step @p368 :rule refl :args (@t221)) % 15.92/16.76 (step @p369 :rule refl :args (@t222)) % 15.92/16.76 (step @p370 :rule refl :args (@t223)) % 15.92/16.76 (step @p371 :rule refl :args (@t224)) % 15.92/16.76 (step @p372 :rule refl :args (@t225)) % 15.92/16.76 (step @p373 :rule refl :args (@t226)) % 15.92/16.76 (step @p374 :rule refl :args (@t227)) % 15.92/16.76 (step @p375 :rule refl :args (@t228)) % 15.92/16.76 (step @p376 :rule refl :args (@t229)) % 15.92/16.76 (step @p377 :rule refl :args (@t230)) % 15.92/16.76 (step @p378 :rule bool-double-not-elim :args (@t231)) % 15.92/16.76 (step @p379 :rule nary_cong :premises (@p378 @p377 @p376 @p375 @p374 @p373 @p372 @p371 @p370 @p369 @p368) :args ((or (not @t232) @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221))) % 15.92/16.76 (assume-push @p443 @t217) % 15.92/16.76 (assume-push @p444 @t221) % 15.92/16.76 (step @p382 :rule evaluate :args ((= false true))) % 15.92/16.76 (step @p383 :rule true_intro :premises (@p367)) % 15.92/16.76 (step @p384 :rule false_intro :premises (@p58)) % 15.92/16.76 (step @p385 :rule symm :premises (@p342)) % 15.92/16.76 (step @p386 :rule trans :premises (@p335 @p385)) % 15.92/16.76 (step @p387 :rule cong :premises (@p46 @p386) :args (@t214)) % 15.92/16.76 (step @p388 :rule refl :args (@t85)) % 15.92/16.76 (step @p389 :rule cong :premises (@p388 @p387) :args (@t215)) % 15.92/16.76 (step @p390 :rule cong :premises (@p242 @p45) :args (@t70)) % 15.92/16.76 (step @p391 :rule symm :premises (@p201)) % 15.92/16.76 (step @p392 :rule symm :premises (@p328)) % 15.92/16.76 (step @p393 :rule cong :premises (@p306 @p386) :args (@t213)) % 15.92/16.76 (step @p394 :rule trans :premises (@p393 @p392 @p208 @p304)) % 15.92/16.76 (step @p395 :rule cong :premises (@p46 @p394) :args (@t216)) % 15.92/16.76 (step @p396 :rule trans :premises (@p395 @p391 @p86 @p171 @p390)) % 15.92/16.76 (step @p397 :rule cong :premises (@p396 @p389) :args (@t217)) % 15.92/16.76 (step @p398 :rule trans :premises (@p397 @p384)) % 15.92/16.76 (step @p399 :rule symm :premises (@p398)) % 15.92/16.76 (step @p400 :rule trans :premises (@p399 @p383)) % 15.92/16.76 (step @p401 false :rule eq_resolve :premises (@p400 @p382)) % 15.92/16.76 (step-pop @p445 :rule scope :premises (@p401)) % 15.92/16.76 (step-pop @p446 :rule scope :premises (@p445)) % 15.92/16.76 (step @p402 :rule process_scope :premises (@p446) :args (false)) % 15.92/16.76 (assume-push @p447 @t232) % 15.92/16.76 (assume-push @p448 @t153) % 15.92/16.76 (assume-push @p449 @t150) % 15.92/16.76 (assume-push @p450 @t206) % 15.92/16.76 (assume-push @p451 @t203) % 15.92/16.76 (assume-push @p452 @t105) % 15.92/16.76 (assume-push @p453 @t100) % 15.92/16.76 (assume-push @p454 @t156) % 15.92/16.76 (assume-push @p455 @t182) % 15.92/16.76 (assume-push @p456 @t127) % 15.92/16.76 (assume-push @p457 @t217) % 15.92/16.76 (step @p384 :rule false_intro :premises (@p58)) % 15.92/16.76 (step @p385 :rule symm :premises (@p342)) % 15.92/16.76 (step @p386 :rule trans :premises (@p335 @p385)) % 15.92/16.76 (step @p387 :rule cong :premises (@p46 @p386) :args (@t214)) % 15.92/16.76 (step @p388 :rule refl :args (@t85)) % 15.92/16.76 (step @p389 :rule cong :premises (@p388 @p387) :args (@t215)) % 15.92/16.76 (step @p390 :rule cong :premises (@p242 @p45) :args (@t70)) % 15.92/16.76 (step @p391 :rule symm :premises (@p201)) % 15.92/16.76 (step @p392 :rule symm :premises (@p328)) % 15.92/16.76 (step @p393 :rule cong :premises (@p306 @p386) :args (@t213)) % 15.92/16.76 (step @p394 :rule trans :premises (@p393 @p392 @p208 @p304)) % 15.92/16.76 (step @p395 :rule cong :premises (@p46 @p394) :args (@t216)) % 15.92/16.76 (step @p396 :rule trans :premises (@p395 @p391 @p86 @p171 @p390)) % 15.92/16.76 (step @p397 :rule cong :premises (@p396 @p389) :args (@t217)) % 15.92/16.76 (step @p416 :rule trans :premises (@p397 @p384)) % 15.92/16.76 (step @p417 :rule false_elim :premises (@p416)) % 15.92/16.76 (step @p418 :rule and_intro :premises (@p367 @p417)) % 15.92/16.76 (step-pop @p458 :rule scope :premises (@p418)) % 15.92/16.76 (step-pop @p459 :rule scope :premises (@p458)) % 15.92/16.76 (step-pop @p460 :rule scope :premises (@p459)) % 15.92/16.76 (step-pop @p461 :rule scope :premises (@p460)) % 15.92/16.76 (step-pop @p462 :rule scope :premises (@p461)) % 15.92/16.76 (step-pop @p463 :rule scope :premises (@p462)) % 15.92/16.76 (step-pop @p464 :rule scope :premises (@p463)) % 15.92/16.76 (step-pop @p465 :rule scope :premises (@p464)) % 15.92/16.76 (step-pop @p466 :rule scope :premises (@p465)) % 15.92/16.76 (step-pop @p467 :rule scope :premises (@p466)) % 15.92/16.76 (step-pop @p468 :rule scope :premises (@p467)) % 15.92/16.76 (step @p419 :rule process_scope :premises (@p468) :args (@t233)) % 15.92/16.76 (step @p431 :rule implies_elim :premises (@p419)) % 15.92/16.76 (step @p432 :rule resolution :premises (@p431 @p402) :args (true @t233)) % 15.92/16.76 (step @p433 :rule not_and :premises (@p432)) % 15.92/16.76 (step @p434 :rule eq_resolve :premises (@p433 @p379)) % 15.92/16.76 (step @p435 :rule reordering :premises (@p434) :args ((or @t231 @t230 @t229 @t228 @t227 @t226 @t225 @t223 @t222 @t224 @t221))) % 15.92/16.76 (step @p436 false :rule chain_m_resolution :premises (@p435 @p367 @p342 @p335 @p328 @p242 @p215 @p208 @p201 @p103 @p86 @p58) :args (false (@list false false false false false false false false false false true) (@list @t217 @t206 @t203 @t182 @t156 @t153 @t150 @t127 @t105 @t100 @t231))) % 15.92/16.76 ) % 15.92/16.76 % SZS output end Proof % 15.92/16.76 % cvc5 exiting %------------------------------------------------------------------------------