%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM476+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 : n012.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 33.54s 34.00s % Output : Proof 33.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM476+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 % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:22:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 33.54/34.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.54/34.00 --- Run --no-e-matching --full-saturate-quant at 6... % 33.54/34.00 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.54/34.00 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.54/34.00 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.54/34.00 % SZS status Theorem % 33.54/34.00 % SZS output start Proof % 33.54/34.00 ( % 33.54/34.00 (declare-sort $$unsorted 0) % 33.54/34.00 (declare-const tptp.xm $$unsorted) % 33.54/34.00 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 33.54/34.00 (declare-const tptp.xn $$unsorted) % 33.54/34.00 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 33.54/34.00 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 33.54/34.00 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 33.54/34.00 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 33.54/34.00 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 33.54/34.00 (declare-const tptp.xl $$unsorted) % 33.54/34.00 (declare-const tptp.sz10 $$unsorted) % 33.54/34.00 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 33.54/34.00 (declare-const tptp.sz00 $$unsorted) % 33.54/34.00 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 33.54/34.00 (define @t1 () (@var "W0" $$unsorted)) % 33.54/34.00 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 33.54/34.00 (define @t3 () (@list @t1)) % 33.54/34.00 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 33.54/34.00 (define @t5 () (@var "W1" $$unsorted)) % 33.54/34.00 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 33.54/34.00 (define @t7 () (tptp.aNaturalNumber0 @t6)) % 33.54/34.00 (define @t8 () (tptp.aNaturalNumber0 @t5)) % 33.54/34.00 (define @t9 () (and @t2 @t8)) % 33.54/34.00 (define @t10 () (@list @t1 @t5)) % 33.54/34.00 (define @t11 () (forall @t10 (=> @t9 @t7))) % 33.54/34.00 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 33.54/34.00 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 33.54/34.00 (define @t14 () (= @t6 @t13)) % 33.54/34.00 (define @t15 () (forall @t10 (=> @t9 @t14))) % 33.54/34.00 (define @t16 () (@var "W2" $$unsorted)) % 33.54/34.00 (define @t17 () (tptp.sdtpldt0 @t5 @t16)) % 33.54/34.00 (define @t18 () (tptp.aNaturalNumber0 @t16)) % 33.54/34.00 (define @t19 () (and @t2 @t8 @t18)) % 33.54/34.00 (define @t20 () (@list @t1 @t5 @t16)) % 33.54/34.00 (define @t21 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 33.54/34.00 (define @t22 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 33.54/34.00 (define @t23 () (and (= @t22 @t1) @t21)) % 33.54/34.00 (define @t24 () (=> @t2 @t23)) % 33.54/34.00 (define @t25 () (forall @t3 @t24)) % 33.54/34.00 (define @t26 () (tptp.sdtasdt0 @t5 @t1)) % 33.54/34.00 (define @t27 () (= (tptp.sdtasdt0 @t12 @t16) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t16)))) % 33.54/34.00 (define @t28 () (forall @t20 (=> @t19 @t27))) % 33.54/34.00 (define @t29 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 33.54/34.00 (define @t30 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 33.54/34.00 (define @t31 () (and (= @t30 tptp.sz00) @t29)) % 33.54/34.00 (define @t32 () (=> @t2 @t31)) % 33.54/34.00 (define @t33 () (forall @t3 @t32)) % 33.54/34.00 (define @t34 () (tptp.sdtasdt0 @t16 @t1)) % 33.54/34.00 (define @t35 () (tptp.sdtasdt0 @t1 @t16)) % 33.54/34.00 (define @t36 () (= @t5 @t16)) % 33.54/34.00 (define @t37 () (tptp.sdtpldt0 @t16 @t1)) % 33.54/34.00 (define @t38 () (tptp.sdtpldt0 @t1 @t16)) % 33.54/34.00 (define @t39 () (= @t26 @t34)) % 33.54/34.00 (define @t40 () (= @t12 @t35)) % 33.54/34.00 (define @t41 () (and @t8 @t18)) % 33.54/34.00 (define @t42 () (= @t1 tptp.sz00)) % 33.54/34.00 (define @t43 () (not @t42)) % 33.54/34.00 (define @t44 () (= @t5 tptp.sz00)) % 33.54/34.00 (define @t45 () (and @t18 (= @t38 @t5))) % 33.54/34.00 (define @t46 () (@list @t16)) % 33.54/34.00 (define @t47 () (tptp.sdtlseqdt0 @t1 @t5)) % 33.54/34.00 (define @t48 () (tptp.sdtmndt0 @t5 @t1)) % 33.54/34.00 (define @t49 () (= @t16 @t48)) % 33.54/34.00 (define @t50 () (forall @t46 (= @t49 @t45))) % 33.54/34.00 (define @t51 () (=> @t47 @t50)) % 33.54/34.00 (define @t52 () (=> @t9 @t51)) % 33.54/34.00 (define @t53 () (forall @t10 @t52)) % 33.54/34.00 (define @t54 () (= @t1 @t5)) % 33.54/34.00 (define @t55 () (tptp.sdtlseqdt0 @t5 @t1)) % 33.54/34.00 (define @t56 () (tptp.sdtlseqdt0 @t5 @t16)) % 33.54/34.00 (define @t57 () (tptp.sdtpldt0 @t16 @t5)) % 33.54/34.00 (define @t58 () (and (not @t54) @t47)) % 33.54/34.00 (define @t59 () (tptp.iLess0 @t1 @t5)) % 33.54/34.00 (define @t60 () (= @t5 @t35)) % 33.54/34.00 (define @t61 () (and @t18 @t60)) % 33.54/34.00 (define @t62 () (exists @t46 @t61)) % 33.54/34.00 (define @t63 () (tptp.doDivides0 @t1 @t5)) % 33.54/34.00 (define @t64 () (= @t63 @t62)) % 33.54/34.00 (define @t65 () (=> @t9 @t64)) % 33.54/34.00 (define @t66 () (forall @t10 @t65)) % 33.54/34.00 (define @t67 () (tptp.sdtsldt0 @t5 @t1)) % 33.54/34.00 (define @t68 () (= @t16 @t67)) % 33.54/34.00 (define @t69 () (forall @t46 (= @t68 @t61))) % 33.54/34.00 (define @t70 () (and @t43 @t63)) % 33.54/34.00 (define @t71 () (=> @t70 @t69)) % 33.54/34.00 (define @t72 () (=> @t9 @t71)) % 33.54/34.00 (define @t73 () (forall @t10 @t72)) % 33.54/34.00 (define @t74 () (tptp.doDivides0 @t1 @t16)) % 33.54/34.00 (define @t75 () (tptp.aNaturalNumber0 tptp.xn)) % 33.54/34.00 (define @t76 () (tptp.aNaturalNumber0 tptp.xm)) % 33.54/34.00 (define @t77 () (tptp.aNaturalNumber0 tptp.xl)) % 33.54/34.00 (define @t78 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 33.54/34.00 (define @t79 () (tptp.doDivides0 tptp.xl @t78)) % 33.54/34.00 (define @t80 () (tptp.doDivides0 tptp.xl tptp.xm)) % 33.54/34.00 (define @t81 () (tptp.doDivides0 tptp.xl tptp.xn)) % 33.54/34.00 (define @t82 () (tptp.sdtasdt0 tptp.xl @t16)) % 33.54/34.00 (define @t83 () (= tptp.xn @t82)) % 33.54/34.00 (define @t84 () (tptp.sdtasdt0 tptp.xl @t1)) % 33.54/34.00 (define @t85 () (tptp.sdtpldt0 @t84 tptp.xn)) % 33.54/34.00 (define @t86 () (= (tptp.sdtpldt0 @t84 @t82) @t85)) % 33.54/34.00 (define @t87 () (and @t49 @t86 @t83)) % 33.54/34.00 (define @t88 () (exists @t46 @t87)) % 33.54/34.00 (define @t89 () (tptp.sdtsldt0 @t78 tptp.xl)) % 33.54/34.00 (define @t90 () (= @t5 @t89)) % 33.54/34.00 (define @t91 () (and @t90 @t47 @t88)) % 33.54/34.00 (define @t92 () (@list @t5)) % 33.54/34.00 (define @t93 () (exists @t92 @t91)) % 33.54/34.00 (define @t94 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 33.54/34.00 (define @t95 () (= @t1 @t94)) % 33.54/34.00 (define @t96 () (and @t95 @t93)) % 33.54/34.00 (define @t97 () (exists @t3 @t96)) % 33.54/34.00 (define @t98 () (= tptp.xl tptp.sz00)) % 33.54/34.00 (define @t99 () (not @t98)) % 33.54/34.00 (define @t100 () (=> @t99 @t97)) % 33.54/34.00 (define @t101 () (=> @t100 @t81)) % 33.54/34.00 (define @t102 () (not @t101)) % 33.54/34.00 (define @t103 () (not @t18)) % 33.54/34.00 (define @t104 () (not @t8)) % 33.54/34.00 (define @t105 () (not @t2)) % 33.54/34.00 (define @t106 () (or @t105 @t104 @t103)) % 33.54/34.00 (define @t107 () (forall @t46 (or @t103 (not (= tptp.xm @t82))))) % 33.54/34.00 (define @t108 () (@quantifiers_skolemize @t107 0)) % 33.54/34.00 (define @t109 () (= @t63 (not (forall @t46 (or @t103 (not @t60)))))) % 33.54/34.00 (define @t110 () (or @t105 @t104)) % 33.54/34.00 (define @t111 () (not @t9)) % 33.54/34.00 (define @t112 () (forall @t46 (not @t61))) % 33.54/34.00 (define @t113 () (not @t112)) % 33.54/34.00 (define @t114 () (not @t107)) % 33.54/34.00 (define @t115 () (= @t80 @t114)) % 33.54/34.00 (define @t116 () (not @t76)) % 33.54/34.00 (define @t117 () (not @t77)) % 33.54/34.00 (define @t118 () (or @t117 @t116 @t115)) % 33.54/34.00 (define @t119 () (@list false false false)) % 33.54/34.00 (define @t120 () (not @t80)) % 33.54/34.00 (define @t121 () (@list false false)) % 33.54/34.00 (define @t122 () (tptp.aNaturalNumber0 @t108)) % 33.54/34.00 (define @t123 () (= tptp.xm (tptp.sdtasdt0 tptp.xl @t108))) % 33.54/34.00 (define @t124 () (not @t123)) % 33.54/34.00 (define @t125 () (not @t122)) % 33.54/34.00 (define @t126 () (or @t125 @t124)) % 33.54/34.00 (define @t127 () (@list true)) % 33.54/34.00 (define @t128 () (@list @t126)) % 33.54/34.00 (define @t129 () (tptp.sdtasdt0 tptp.sz00 @t108)) % 33.54/34.00 (define @t130 () (tptp.sdtasdt0 tptp.sz00 @t129)) % 33.54/34.00 (define @t131 () (tptp.sdtasdt0 tptp.sz00 tptp.sz00)) % 33.54/34.00 (define @t132 () (= (tptp.sdtasdt0 @t131 @t108) @t130)) % 33.54/34.00 (define @t133 () (not @t4)) % 33.54/34.00 (define @t134 () (or @t133 @t133 @t125 @t132)) % 33.54/34.00 (define @t135 () (and (= tptp.sz00 @t30) @t29)) % 33.54/34.00 (define @t136 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm))) % 33.54/34.00 (define @t137 () (and (= tptp.sz00 (tptp.sdtasdt0 tptp.xm tptp.sz00)) @t136)) % 33.54/34.00 (define @t138 () (or @t116 @t137)) % 33.54/34.00 (define @t139 () (@list false)) % 33.54/34.00 (define @t140 () (= tptp.sz00 @t131)) % 33.54/34.00 (define @t141 () (and @t140 @t140)) % 33.54/34.00 (define @t142 () (or @t133 @t141)) % 33.54/34.00 (define @t143 () (forall @t3 (or @t105 @t135))) % 33.54/34.00 (define @t144 () (or @t133 @t140)) % 33.54/34.00 (define @t145 () (and (= @t1 @t22) @t21)) % 33.54/34.00 (define @t146 () (= tptp.xn (tptp.sdtpldt0 tptp.xn tptp.sz00))) % 33.54/34.00 (define @t147 () (and @t146 (= tptp.xn (tptp.sdtpldt0 tptp.sz00 tptp.xn)))) % 33.54/34.00 (define @t148 () (not @t75)) % 33.54/34.00 (define @t149 () (or @t148 @t147)) % 33.54/34.00 (define @t150 () (@list tptp.xm tptp.xn)) % 33.54/34.00 (define @t151 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 33.54/34.00 (define @t152 () (= @t78 @t151)) % 33.54/34.00 (define @t153 () (or @t116 @t148 @t152)) % 33.54/34.00 (define @t154 () (tptp.sdtmndt0 @t89 @t94)) % 33.54/34.00 (define @t155 () (tptp.sdtasdt0 tptp.xl @t154)) % 33.54/34.00 (define @t156 () (= tptp.xn @t155)) % 33.54/34.00 (define @t157 () (not @t156)) % 33.54/34.00 (define @t158 () (tptp.sdtasdt0 tptp.xl @t94)) % 33.54/34.00 (define @t159 () (not (= (tptp.sdtpldt0 @t158 tptp.xn) (tptp.sdtpldt0 @t158 @t155)))) % 33.54/34.00 (define @t160 () (tptp.sdtlseqdt0 @t94 @t89)) % 33.54/34.00 (define @t161 () (not @t160)) % 33.54/34.00 (define @t162 () (or @t161 @t159 @t157)) % 33.54/34.00 (define @t163 () (= @t94 @t94)) % 33.54/34.00 (define @t164 () (not @t163)) % 33.54/34.00 (define @t165 () (or @t164 @t161 @t159 @t157)) % 33.54/34.00 (define @t166 () (tptp.sdtasdt0 tptp.xl (tptp.sdtmndt0 @t89 @t1))) % 33.54/34.00 (define @t167 () (not (= tptp.xn @t166))) % 33.54/34.00 (define @t168 () (not (= @t85 (tptp.sdtpldt0 @t84 @t166)))) % 33.54/34.00 (define @t169 () (not (tptp.sdtlseqdt0 @t1 @t89))) % 33.54/34.00 (define @t170 () (not @t95)) % 33.54/34.00 (define @t171 () (or @t170 @t170 @t169 @t168 @t167)) % 33.54/34.00 (define @t172 () (or @t170 @t169 @t168 @t167)) % 33.54/34.00 (define @t173 () (or @t169 @t168 @t167)) % 33.54/34.00 (define @t174 () (not @t173)) % 33.54/34.00 (define @t175 () (and @t95 @t174)) % 33.54/34.00 (define @t176 () (forall @t3 (not @t175))) % 33.54/34.00 (define @t177 () (not @t176)) % 33.54/34.00 (define @t178 () (= @t89 @t89)) % 33.54/34.00 (define @t179 () (not @t178)) % 33.54/34.00 (define @t180 () (or @t179 @t169 @t168 @t167)) % 33.54/34.00 (define @t181 () (tptp.sdtasdt0 tptp.xl @t48)) % 33.54/34.00 (define @t182 () (not (= tptp.xn @t181))) % 33.54/34.00 (define @t183 () (tptp.sdtpldt0 @t84 @t181)) % 33.54/34.00 (define @t184 () (not (= @t85 @t183))) % 33.54/34.00 (define @t185 () (not @t47)) % 33.54/34.00 (define @t186 () (not @t90)) % 33.54/34.00 (define @t187 () (or @t186 @t186 @t185 @t184 @t182)) % 33.54/34.00 (define @t188 () (or @t186 @t185 @t184 @t182)) % 33.54/34.00 (define @t189 () (or @t184 @t182)) % 33.54/34.00 (define @t190 () (not @t189)) % 33.54/34.00 (define @t191 () (not @t190)) % 33.54/34.00 (define @t192 () (or @t186 @t185 @t191)) % 33.54/34.00 (define @t193 () (and @t90 @t47 @t190)) % 33.54/34.00 (define @t194 () (forall @t92 (not @t193))) % 33.54/34.00 (define @t195 () (not @t194)) % 33.54/34.00 (define @t196 () (not (= @t183 @t85))) % 33.54/34.00 (define @t197 () (not (= @t48 @t48))) % 33.54/34.00 (define @t198 () (or @t197 @t196 @t182)) % 33.54/34.00 (define @t199 () (not @t83)) % 33.54/34.00 (define @t200 () (not @t86)) % 33.54/34.00 (define @t201 () (not @t49)) % 33.54/34.00 (define @t202 () (or @t201 @t201 @t200 @t199)) % 33.54/34.00 (define @t203 () (or @t201 @t200 @t199)) % 33.54/34.00 (define @t204 () (forall @t46 (not @t87))) % 33.54/34.00 (define @t205 () (not @t204)) % 33.54/34.00 (define @t206 () (not @t132)) % 33.54/34.00 (define @t207 () (not @t136)) % 33.54/34.00 (define @t208 () (not @t140)) % 33.54/34.00 (define @t209 () (not @t146)) % 33.54/34.00 (define @t210 () (not @t152)) % 33.54/34.00 (define @t211 () (= tptp.sz00 tptp.xl)) % 33.54/34.00 (define @t212 () (not @t211)) % 33.54/34.00 (define @t213 () (not @t79)) % 33.54/34.00 (define @t214 () (not @t81)) % 33.54/34.00 (define @t215 () (and @t214 @t146 @t136 @t123 @t211 @t132 @t140 @t152 @t79)) % 33.54/34.00 (define @t216 () (not @t162)) % 33.54/34.00 (define @t217 () (@list @t162)) % 33.54/34.00 (define @t218 () (@var "BOUND_VARIABLE_7946" $$unsorted)) % 33.54/34.00 (define @t219 () (and (tptp.aNaturalNumber0 @t218) (= @t5 (tptp.sdtasdt0 @t1 @t218)))) % 33.54/34.00 (define @t220 () (= @t219 (= @t218 @t67))) % 33.54/34.00 (define @t221 () (not @t63)) % 33.54/34.00 (define @t222 () (or @t105 @t104 @t42 @t221 @t220)) % 33.54/34.00 (define @t223 () (@list @t1 @t5 @t218)) % 33.54/34.00 (define @t224 () (forall @t223 @t222)) % 33.54/34.00 (define @t225 () (@list @t218)) % 33.54/34.00 (define @t226 () (forall @t225 @t222)) % 33.54/34.00 (define @t227 () (forall @t225 @t220)) % 33.54/34.00 (define @t228 () (@list @t16)) % 33.54/34.00 (define @t229 () (or @t105 @t104 @t42 @t221 @t227)) % 33.54/34.00 (define @t230 () (forall @t46 (= @t61 @t68))) % 33.54/34.00 (define @t231 () (or @t105 @t104 @t42 @t221 @t230)) % 33.54/34.00 (define @t232 () (or @t42 @t221 @t230)) % 33.54/34.00 (define @t233 () (=> @t70 @t230)) % 33.54/34.00 (define @t234 () (tptp.aNaturalNumber0 @t94)) % 33.54/34.00 (define @t235 () (and @t234 (= tptp.xm @t158))) % 33.54/34.00 (define @t236 () (or @t117 @t116 @t98 @t120 (= @t235 @t163))) % 33.54/34.00 (define @t237 () (forall @t223 (or @t105 @t104 @t42 @t221 (= @t219 (= @t67 @t218))))) % 33.54/34.00 (define @t238 () (or @t117 @t116 @t211 @t120 @t235)) % 33.54/34.00 (define @t239 () (@list @t237)) % 33.54/34.00 (define @t240 () (@list true false false false false)) % 33.54/34.00 (define @t241 () (tptp.aNaturalNumber0 @t89)) % 33.54/34.00 (define @t242 () (and @t241 (= @t78 (tptp.sdtasdt0 tptp.xl @t89)))) % 33.54/34.00 (define @t243 () (tptp.aNaturalNumber0 @t78)) % 33.54/34.00 (define @t244 () (not @t243)) % 33.54/34.00 (define @t245 () (or @t117 @t244 @t98 @t213 (= @t242 @t178))) % 33.54/34.00 (define @t246 () (or @t117 @t244 @t211 @t213 @t242)) % 33.54/34.00 (define @t247 () (or @t116 @t148 @t243)) % 33.54/34.00 (define @t248 () (forall @t46 (or @t103 @t199))) % 33.54/34.00 (define @t249 () (not @t248)) % 33.54/34.00 (define @t250 () (= @t81 @t249)) % 33.54/34.00 (define @t251 () (or @t117 @t148 @t250)) % 33.54/34.00 (define @t252 () (not @t250)) % 33.54/34.00 (define @t253 () (tptp.aNaturalNumber0 @t154)) % 33.54/34.00 (define @t254 () (not @t253)) % 33.54/34.00 (define @t255 () (or @t254 @t157)) % 33.54/34.00 (define @t256 () (and @t253 (= @t89 (tptp.sdtpldt0 @t94 @t154)))) % 33.54/34.00 (define @t257 () (not @t256)) % 33.54/34.00 (define @t258 () (@var "BOUND_VARIABLE_7819" $$unsorted)) % 33.54/34.00 (define @t259 () (= @t48 @t258)) % 33.54/34.00 (define @t260 () (and (tptp.aNaturalNumber0 @t258) (= @t5 (tptp.sdtpldt0 @t1 @t258)))) % 33.54/34.00 (define @t261 () (= (= @t258 @t48) @t260)) % 33.54/34.00 (define @t262 () (or @t105 @t104 @t185 @t261)) % 33.54/34.00 (define @t263 () (@list @t1 @t5 @t258)) % 33.54/34.00 (define @t264 () (forall @t263 @t262)) % 33.54/34.00 (define @t265 () (@list @t258)) % 33.54/34.00 (define @t266 () (forall @t265 @t262)) % 33.54/34.00 (define @t267 () (forall @t265 @t261)) % 33.54/34.00 (define @t268 () (or @t105 @t104 @t185 @t267)) % 33.54/34.00 (define @t269 () (and @t18 (= @t5 @t38))) % 33.54/34.00 (define @t270 () (forall @t46 (= @t49 @t269))) % 33.54/34.00 (define @t271 () (or @t105 @t104 @t185 @t270)) % 33.54/34.00 (define @t272 () (=> @t47 @t270)) % 33.54/34.00 (define @t273 () (= @t256 (= @t154 @t154))) % 33.54/34.00 (define @t274 () (not @t241)) % 33.54/34.00 (define @t275 () (not @t234)) % 33.54/34.00 (define @t276 () (or @t275 @t274 @t161 @t273)) % 33.54/34.00 (define @t277 () (forall @t263 (or @t105 @t104 @t185 (= @t260 @t259)))) % 33.54/34.00 (define @t278 () (or @t275 @t274 @t161 @t256)) % 33.54/34.00 (assume @p1 (forall @t3 (=> @t2 true))) % 33.54/34.00 (assume @p2 @t4) % 33.54/34.00 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 33.54/34.00 (assume @p4 @t11) % 33.54/34.00 (assume @p5 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t12)))) % 33.54/34.00 (assume @p6 @t15) % 33.54/34.00 (assume @p7 (forall @t20 (=> @t19 (= (tptp.sdtpldt0 @t6 @t16) (tptp.sdtpldt0 @t1 @t17))))) % 33.54/34.00 (assume @p8 @t25) % 33.54/34.00 (assume @p9 (forall @t10 (=> @t9 (= @t12 @t26)))) % 33.54/34.00 (assume @p10 @t28) % 33.54/34.00 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 33.54/34.00 (assume @p12 @t33) % 33.54/34.00 (assume @p13 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t12 @t35)) (= (tptp.sdtasdt0 @t17 @t1) (tptp.sdtpldt0 @t26 @t34)))))) % 33.54/34.00 (assume @p14 (forall @t20 (=> @t19 (=> (or (= @t6 @t38) (= @t13 @t37)) @t36)))) % 33.54/34.00 (assume @p15 (forall @t3 (=> @t2 (=> @t43 (forall (@list @t5 @t16) (=> @t41 (=> (or @t40 @t39) @t36))))))) % 33.54/34.00 (assume @p16 (forall @t10 (=> @t9 (=> (= @t6 tptp.sz00) (and @t42 @t44))))) % 33.54/34.00 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or @t42 @t44))))) % 33.54/34.00 (assume @p18 (forall @t10 (=> @t9 (= @t47 (exists @t46 @t45))))) % 33.54/34.00 (assume @p19 @t53) % 33.54/34.00 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 33.54/34.00 (assume @p21 (forall @t10 (=> @t9 (=> (and @t47 @t55) @t54)))) % 33.54/34.00 (assume @p22 (forall @t20 (=> @t19 (=> (and @t47 @t56) (tptp.sdtlseqdt0 @t1 @t16))))) % 33.54/34.00 (assume @p23 (forall @t10 (=> @t9 (or @t47 (and (not (= @t5 @t1)) @t55))))) % 33.54/34.00 (assume @p24 (forall @t10 (=> @t9 (=> @t58 (forall @t46 (=> @t18 (and (not (= @t37 @t57)) (tptp.sdtlseqdt0 @t37 @t57) (not (= @t38 @t17)) (tptp.sdtlseqdt0 @t38 @t17)))))))) % 33.54/34.00 (assume @p25 (forall @t20 (=> @t19 (=> (and @t43 (not @t36) @t56) (and (not @t40) (tptp.sdtlseqdt0 @t12 @t35) (not @t39) (tptp.sdtlseqdt0 @t26 @t34)))))) % 33.54/34.00 (assume @p26 (forall @t3 (=> @t2 (or @t42 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 33.54/34.00 (assume @p27 (forall @t10 (=> @t9 (=> @t43 (tptp.sdtlseqdt0 @t5 @t26))))) % 33.54/34.00 (assume @p28 (forall @t10 (=> @t9 (=> @t59 true)))) % 33.54/34.00 (assume @p29 (forall @t10 (=> @t9 (=> @t58 @t59)))) % 33.54/34.00 (assume @p30 @t66) % 33.54/34.00 (assume @p31 @t73) % 33.54/34.00 (assume @p32 (forall @t20 (=> @t19 (=> (and @t63 (tptp.doDivides0 @t5 @t16)) @t74)))) % 33.54/34.00 (assume @p33 (forall @t20 (=> @t19 (=> (and @t63 @t74) (tptp.doDivides0 @t1 @t17))))) % 33.54/34.00 (assume @p34 (and @t77 @t76 @t75)) % 33.54/34.00 (assume @p35 (and @t80 @t79)) % 33.54/34.00 (assume @p36 @t102) % 33.54/34.00 (assume @p37 true) % 33.54/34.00 (step @p38 :rule aci_norm :args ((= (or @t106 @t27) (or @t105 @t104 @t103 @t27)))) % 33.54/34.00 (step @p39 :rule refl :args (@t27)) % 33.54/34.00 (step @p40 :rule aci_norm :args ((= (or @t105 (or @t104 @t103)) @t106))) % 33.54/34.00 (step @p41 :rule bool-and-de-morgan :args (@t8 @t18 true)) % 33.54/34.00 (step @p42 :rule refl :args (@t105)) % 33.54/34.00 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t105 (not @t41)))) % 33.54/34.00 (step @p44 :rule bool-and-de-morgan :args (@t2 @t8 (and @t18))) % 33.54/34.00 (step @p45 :rule trans :premises (@p44 @p43)) % 33.54/34.00 (step @p46 :rule trans :premises (@p45 @p40)) % 33.54/34.00 (step @p47 :rule nary_cong :premises (@p46 @p39) :args ((or (not @t19) @t27))) % 33.54/34.00 (step @p48 :rule trans :premises (@p47 @p38)) % 33.54/34.00 (step @p49 :rule bool-impl-elim :args (@t19 @t27)) % 33.54/34.00 (step @p50 :rule trans :premises (@p49 @p48)) % 33.54/34.00 (step @p51 :rule cong :premises (@p50) :args (@t28)) % 33.54/34.00 (step @p52 :rule eq_resolve :premises (@p10 @p51)) % 33.54/34.00 (step @p53 :rule instantiate :premises (@p52) :args ((@list tptp.sz00 tptp.sz00 @t108))) % 33.54/34.00 (step @p54 :rule aci_norm :args ((= (or @t110 @t109) (or @t105 @t104 @t109)))) % 33.54/34.00 (step @p55 :rule refl :args (@t109)) % 33.54/34.00 (step @p56 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 33.54/34.00 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t111 @t109))) % 33.54/34.00 (step @p58 :rule trans :premises (@p57 @p54)) % 33.54/34.00 (step @p59 :rule bool-impl-elim :args (@t9 @t109)) % 33.54/34.00 (step @p60 :rule trans :premises (@p59 @p58)) % 33.54/34.00 (step @p61 :rule cong :premises (@p60) :args ((forall @t10 (=> @t9 @t109)))) % 33.54/34.00 (step @p62 :rule bool-and-de-morgan :args (@t18 @t60 true)) % 33.54/34.00 (step @p63 :rule cong :premises (@p62) :args (@t112)) % 33.54/34.00 (step @p64 :rule cong :premises (@p63) :args (@t113)) % 33.54/34.00 (step @p65 :rule exists-elim :args ((= @t62 @t113))) % 33.54/34.00 (step @p66 :rule trans :premises (@p65 @p64)) % 33.54/34.00 (step @p67 :rule refl :args (@t63)) % 33.54/34.00 (step @p68 :rule cong :premises (@p67 @p66) :args (@t64)) % 33.54/34.00 (step @p69 :rule refl :args (@t9)) % 33.54/34.00 (step @p70 :rule cong :premises (@p69 @p68) :args (@t65)) % 33.54/34.00 (step @p71 :rule cong :premises (@p70) :args (@t66)) % 33.54/34.00 (step @p72 :rule trans :premises (@p71 @p61)) % 33.54/34.00 (step @p73 :rule eq_resolve :premises (@p30 @p72)) % 33.54/34.00 (step @p74 :rule instantiate :premises (@p73) :args ((@list tptp.xl tptp.xm))) % 33.54/34.00 (step @p75 :rule and_elim :premises (@p34) :args (1)) % 33.54/34.00 (step @p76 :rule and_elim :premises (@p34) :args (0)) % 33.54/34.00 (step @p77 :rule cnf_or_pos :args (@t118)) % 33.54/34.00 (step @p78 :rule reordering :premises (@p77) :args ((or @t117 @t116 @t115 (not @t118)))) % 33.54/34.00 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p75 @p74) :args (@t115 @t119 (@list @t77 @t76 @t118))) % 33.54/34.00 (step @p80 :rule and_elim :premises (@p35) :args (0)) % 33.54/34.00 (step @p81 :rule cnf_equiv_pos1 :args (@t115)) % 33.54/34.00 (step @p82 :rule reordering :premises (@p81) :args ((or @t120 @t114 (not @t115)))) % 33.54/34.00 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p79) :args (@t114 @t121 (@list @t80 @t115))) % 33.54/34.00 (step @p84 :rule skolemize :premises (@p83)) % 33.54/34.00 (step @p85 :rule bool-double-not-elim :args (@t122)) % 33.54/34.00 (step @p86 :rule refl :args (@t126)) % 33.54/34.00 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t126 (not @t125)))) % 33.54/34.00 (step @p88 :rule cnf_or_neg :args (@t126 0)) % 33.54/34.00 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 33.54/34.00 (step @p90 :rule reordering :premises (@p89) :args ((or @t122 @t126))) % 33.54/34.00 (step @p91 :rule chain_m_resolution :premises (@p90 @p84) :args (@t122 @t127 @t128)) % 33.54/34.00 (step @p92 :rule cnf_or_pos :args (@t134)) % 33.54/34.00 (step @p93 :rule factoring :premises (@p92)) % 33.54/34.00 (step @p94 :rule reordering :premises (@p93) :args ((or @t133 @t125 @t132 (not @t134)))) % 33.54/34.00 (step @p95 :rule chain_m_resolution :premises (@p94 @p2 @p91 @p53) :args (@t132 @t119 (@list @t4 @t122 @t134))) % 33.54/34.00 (step @p96 :rule bool-double-not-elim :args (@t123)) % 33.54/34.00 (step @p97 :rule nary_cong :premises (@p86 @p96) :args ((or @t126 (not @t124)))) % 33.54/34.00 (step @p98 :rule cnf_or_neg :args (@t126 1)) % 33.54/34.00 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 33.54/34.00 (step @p100 :rule reordering :premises (@p99) :args ((or @t123 @t126))) % 33.54/34.00 (step @p101 :rule chain_m_resolution :premises (@p100 @p84) :args (@t123 @t127 @t128)) % 33.54/34.00 (step @p102 :rule bool-impl-elim :args (@t2 @t135)) % 33.54/34.00 (step @p103 :rule cong :premises (@p102) :args ((forall @t3 (=> @t2 @t135)))) % 33.54/34.00 (step @p104 :rule refl :args (@t29)) % 33.54/34.00 (step @p105 :rule eq-symm :args (@t30 tptp.sz00)) % 33.54/34.00 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t31)) % 33.54/34.00 (step @p107 :rule refl :args (@t2)) % 33.54/34.00 (step @p108 :rule cong :premises (@p107 @p106) :args (@t32)) % 33.54/34.00 (step @p109 :rule cong :premises (@p108) :args (@t33)) % 33.54/34.00 (step @p110 :rule trans :premises (@p109 @p103)) % 33.54/34.00 (step @p111 :rule eq_resolve :premises (@p12 @p110)) % 33.54/34.00 (step @p112 :rule instantiate :premises (@p111) :args ((@list tptp.xm))) % 33.54/34.00 (step @p113 :rule cnf_or_pos :args (@t138)) % 33.54/34.00 (step @p114 :rule reordering :premises (@p113) :args ((or @t116 @t137 (not @t138)))) % 33.54/34.00 (step @p115 :rule chain_m_resolution :premises (@p114 @p75 @p112) :args (@t137 @t121 (@list @t76 @t138))) % 33.54/34.00 (step @p116 :rule cnf_and_pos :args (@t137 1)) % 33.54/34.00 (step @p117 :rule reordering :premises (@p116) :args ((or @t136 (not @t137)))) % 33.54/34.00 (step @p118 :rule chain_m_resolution :premises (@p117 @p115) :args (@t136 @t139 (@list @t137))) % 33.54/34.00 (step @p119 :rule aci_norm :args ((= @t141 @t140))) % 33.54/34.00 (step @p120 :rule refl :args (@t133)) % 33.54/34.00 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t142)) % 33.54/34.00 (step @p122 :rule refl :args (@t143)) % 33.54/34.00 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t143 @t142))) % 33.54/34.00 (assume-push @p550 @t143) % 33.54/34.00 (step @p125 :rule instantiate :premises (@p111) :args ((@list tptp.sz00))) % 33.54/34.00 (step-pop @p551 :rule scope :premises (@p125)) % 33.54/34.00 (step @p126 :rule process_scope :premises (@p551) :args (@t142)) % 33.54/34.00 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 33.54/34.00 (step @p129 :rule implies_elim :premises (@p128)) % 33.54/34.00 (step @p130 :rule chain_m_resolution :premises (@p129 @p111) :args (@t144 @t139 (@list @t143))) % 33.54/34.00 (step @p131 :rule cnf_or_pos :args (@t144)) % 33.54/34.00 (step @p132 :rule reordering :premises (@p131) :args ((or @t133 @t140 (not @t144)))) % 33.54/34.00 (step @p133 :rule chain_m_resolution :premises (@p132 @p2 @p130) :args (@t140 @t121 (@list @t4 @t144))) % 33.54/34.00 (step @p134 :rule bool-impl-elim :args (@t2 @t145)) % 33.54/34.00 (step @p135 :rule cong :premises (@p134) :args ((forall @t3 (=> @t2 @t145)))) % 33.54/34.00 (step @p136 :rule refl :args (@t21)) % 33.54/34.00 (step @p137 :rule eq-symm :args (@t22 @t1)) % 33.54/34.00 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t23)) % 33.54/34.00 (step @p139 :rule cong :premises (@p107 @p138) :args (@t24)) % 33.54/34.00 (step @p140 :rule cong :premises (@p139) :args (@t25)) % 33.54/34.00 (step @p141 :rule trans :premises (@p140 @p135)) % 33.54/34.00 (step @p142 :rule eq_resolve :premises (@p8 @p141)) % 33.54/34.00 (step @p143 :rule instantiate :premises (@p142) :args ((@list tptp.xn))) % 33.54/34.00 (step @p144 :rule and_elim :premises (@p34) :args (2)) % 33.54/34.00 (step @p145 :rule cnf_or_pos :args (@t149)) % 33.54/34.00 (step @p146 :rule reordering :premises (@p145) :args ((or @t148 @t147 (not @t149)))) % 33.54/34.00 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p143) :args (@t147 @t121 (@list @t75 @t149))) % 33.54/34.00 (step @p148 :rule cnf_and_pos :args (@t147 0)) % 33.54/34.00 (step @p149 :rule reordering :premises (@p148) :args ((or @t146 (not @t147)))) % 33.54/34.00 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t146 @t139 (@list @t147))) % 33.54/34.00 (step @p151 :rule aci_norm :args ((= (or @t110 @t14) (or @t105 @t104 @t14)))) % 33.54/34.00 (step @p152 :rule refl :args (@t14)) % 33.54/34.00 (step @p153 :rule nary_cong :premises (@p56 @p152) :args ((or @t111 @t14))) % 33.54/34.00 (step @p154 :rule trans :premises (@p153 @p151)) % 33.54/34.00 (step @p155 :rule bool-impl-elim :args (@t9 @t14)) % 33.54/34.00 (step @p156 :rule trans :premises (@p155 @p154)) % 33.54/34.00 (step @p157 :rule cong :premises (@p156) :args (@t15)) % 33.54/34.00 (step @p158 :rule eq_resolve :premises (@p6 @p157)) % 33.54/34.00 (step @p159 :rule instantiate :premises (@p158) :args (@t150)) % 33.54/34.00 (step @p160 :rule cnf_or_pos :args (@t153)) % 33.54/34.00 (step @p161 :rule reordering :premises (@p160) :args ((or @t116 @t148 @t152 (not @t153)))) % 33.54/34.00 (step @p162 :rule chain_m_resolution :premises (@p161 @p75 @p144 @p159) :args (@t152 @t119 (@list @t76 @t75 @t153))) % 33.54/34.00 (step @p163 :rule and_elim :premises (@p35) :args (1)) % 33.54/34.00 (step @p164 :rule refl :args (@t81)) % 33.54/34.00 (step @p165 :rule aci_norm :args ((= (or false @t161 @t159 @t157) @t162))) % 33.54/34.00 (step @p166 :rule refl :args (@t157)) % 33.54/34.00 (step @p167 :rule refl :args (@t159)) % 33.54/34.00 (step @p168 :rule refl :args (@t161)) % 33.54/34.00 (step @p169 :rule evaluate :args ((not true))) % 33.54/34.00 (step @p170 :rule eq-refl :args (@t94)) % 33.54/34.00 (step @p171 :rule cong :premises (@p170) :args (@t164)) % 33.54/34.00 (step @p172 :rule trans :premises (@p171 @p169)) % 33.54/34.00 (step @p173 :rule nary_cong :premises (@p172 @p168 @p167 @p166) :args (@t165)) % 33.54/34.00 (step @p174 :rule trans :premises (@p173 @p165)) % 33.54/34.00 (step @p175 :rule quant-var-elim-eq :args ((= (forall @t3 @t171) @t165))) % 33.54/34.00 (step @p176 :rule aci_norm :args ((= @t172 @t171))) % 33.54/34.00 (step @p177 :rule cong :premises (@p176) :args ((forall @t3 @t172))) % 33.54/34.00 (step @p178 :rule trans :premises (@p177 @p175)) % 33.54/34.00 (step @p179 :rule trans :premises (@p178 @p174)) % 33.54/34.00 (step @p180 :rule aci_norm :args ((= (or @t170 @t173) @t172))) % 33.54/34.00 (step @p181 :rule bool-double-not-elim :args (@t173)) % 33.54/34.00 (step @p182 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(step @p404 :rule eq-symm :args (true @t235)) % 33.54/34.00 (step @p405 :rule trans :premises (@p404 @p403)) % 33.54/34.00 (step @p406 :rule refl :args (@t235)) % 33.54/34.00 (step @p407 :rule cong :premises (@p170 @p406) :args ((= @t163 @t235))) % 33.54/34.00 (step @p408 :rule trans :premises (@p407 @p405)) % 33.54/34.00 (step @p409 :rule eq-symm :args (@t235 @t163)) % 33.54/34.00 (step @p410 :rule trans :premises (@p409 @p408)) % 33.54/34.00 (step @p411 :rule refl :args (@t120)) % 33.54/34.00 (step @p412 :rule refl :args (@t116)) % 33.54/34.00 (step @p413 :rule refl :args (@t117)) % 33.54/34.00 (step @p414 :rule nary_cong :premises (@p413 @p412 @p259 @p411 @p410) :args (@t236)) % 33.54/34.00 (step @p415 :rule refl :args (@t237)) % 33.54/34.00 (step @p416 :rule cong :premises (@p415 @p414) :args ((=> @t237 @t236))) % 33.54/34.00 (assume-push @p588 @t237) % 33.54/34.00 (step @p418 :rule instantiate :premises (@p402) :args ((@list tptp.xl tptp.xm @t94))) % 33.54/34.00 (step-pop @p589 :rule scope :premises (@p418)) % 33.54/34.00 (step @p419 :rule process_scope :premises (@p589) :args (@t236)) % 33.54/34.00 (step @p421 :rule eq_resolve :premises (@p419 @p416)) % 33.54/34.00 (step @p422 :rule implies_elim :premises (@p421)) % 33.54/34.00 (step @p423 :rule chain_m_resolution :premises (@p422 @p402) :args (@t238 @t139 @t239)) % 33.54/34.00 (step @p424 :rule cnf_or_pos :args (@t238)) % 33.54/34.00 (step @p425 :rule reordering :premises (@p424) :args ((or @t211 @t117 @t116 @t120 @t235 (not @t238)))) % 33.54/34.00 (step @p426 :rule chain_m_resolution :premises (@p425 @p342 @p76 @p75 @p80 @p423) :args (@t235 @t240 (@list @t211 @t77 @t76 @t80 @t238))) % 33.54/34.00 (step @p427 :rule cnf_and_pos :args (@t235 0)) % 33.54/34.00 (step @p428 :rule reordering :premises (@p427) :args ((or @t234 (not @t235)))) % 33.54/34.00 (step @p429 :rule chain_m_resolution :premises (@p428 @p426) :args (@t234 @t139 (@list @t235))) % 33.54/34.00 (step @p430 :rule bool-eq-true :args (@t242)) % 33.54/34.00 (step @p431 :rule eq-symm :args (true @t242)) % 33.54/34.00 (step @p432 :rule trans :premises (@p431 @p430)) % 33.54/34.00 (step @p433 :rule refl :args (@t242)) % 33.54/34.00 (step @p434 :rule cong :premises (@p196 @p433) :args ((= @t178 @t242))) % 33.54/34.00 (step @p435 :rule trans :premises (@p434 @p432)) % 33.54/34.00 (step @p436 :rule eq-symm :args (@t242 @t178)) % 33.54/34.00 (step @p437 :rule trans :premises (@p436 @p435)) % 33.54/34.00 (step @p438 :rule refl :args (@t244)) % 33.54/34.00 (step @p439 :rule nary_cong :premises (@p413 @p438 @p259 @p274 @p437) :args (@t245)) % 33.54/34.00 (step @p440 :rule cong :premises (@p415 @p439) :args ((=> @t237 @t245))) % 33.54/34.00 (assume-push @p590 @t237) % 33.54/34.00 (step @p442 :rule instantiate :premises (@p402) :args ((@list tptp.xl @t78 @t89))) % 33.54/34.00 (step-pop @p591 :rule scope :premises (@p442)) % 33.54/34.00 (step @p443 :rule process_scope :premises (@p591) :args (@t245)) % 33.54/34.00 (step @p445 :rule eq_resolve :premises (@p443 @p440)) % 33.54/34.00 (step @p446 :rule implies_elim :premises (@p445)) % 33.54/34.00 (step @p447 :rule chain_m_resolution :premises (@p446 @p402) :args (@t246 @t139 @t239)) % 33.54/34.00 (step @p448 :rule aci_norm :args ((= (or @t110 @t7) (or @t105 @t104 @t7)))) % 33.54/34.00 (step @p449 :rule refl :args (@t7)) % 33.54/34.00 (step @p450 :rule nary_cong :premises (@p56 @p449) :args ((or @t111 @t7))) % 33.54/34.00 (step @p451 :rule trans :premises (@p450 @p448)) % 33.54/34.00 (step @p452 :rule bool-impl-elim :args (@t9 @t7)) % 33.54/34.00 (step @p453 :rule trans :premises (@p452 @p451)) % 33.54/34.00 (step @p454 :rule cong :premises (@p453) :args (@t11)) % 33.54/34.00 (step @p455 :rule eq_resolve :premises (@p4 @p454)) % 33.54/34.00 (step @p456 :rule instantiate :premises (@p455) :args (@t150)) % 33.54/34.00 (step @p457 :rule cnf_or_pos :args (@t247)) % 33.54/34.00 (step @p458 :rule reordering :premises (@p457) :args ((or @t116 @t148 @t243 (not @t247)))) % 33.54/34.00 (step @p459 :rule chain_m_resolution :premises (@p458 @p75 @p144 @p456) :args (@t243 @t119 (@list @t76 @t75 @t247))) % 33.54/34.00 (step @p460 :rule cnf_or_pos :args (@t246)) % 33.54/34.00 (step @p461 :rule reordering :premises (@p460) :args ((or @t211 @t117 @t213 @t244 @t242 (not @t246)))) % 33.54/34.00 (step @p462 :rule chain_m_resolution :premises (@p461 @p342 @p76 @p163 @p459 @p447) :args (@t242 @t240 (@list @t211 @t77 @t79 @t243 @t246))) % 33.54/34.00 (step @p463 :rule cnf_and_pos :args (@t242 0)) % 33.54/34.00 (step @p464 :rule reordering :premises (@p463) :args ((or @t241 (not @t242)))) % 33.54/34.00 (step @p465 :rule chain_m_resolution :premises (@p464 @p462) :args (@t241 @t139 (@list @t242))) % 33.54/34.00 (step @p466 :rule instantiate :premises (@p73) :args ((@list tptp.xl tptp.xn))) % 33.54/34.00 (step @p467 :rule cnf_or_pos :args (@t251)) % 33.54/34.00 (step @p468 :rule reordering :premises (@p467) :args ((or @t117 @t148 @t250 (not @t251)))) % 33.54/34.00 (step @p469 :rule chain_m_resolution :premises (@p468 @p76 @p144 @p466) :args (@t250 @t119 (@list @t77 @t75 @t251))) % 33.54/34.00 (step @p470 :rule bool-double-not-elim :args (@t248)) % 33.54/34.00 (step @p471 :rule refl :args (@t252)) % 33.54/34.00 (step @p472 :rule nary_cong :premises (@p471 @p164 @p470) :args ((or @t252 @t81 (not @t249)))) % 33.54/34.00 (step @p473 :rule cnf_equiv_pos2 :args (@t250)) % 33.54/34.00 (step @p474 :rule eq_resolve :premises (@p473 @p472)) % 33.54/34.00 (step @p475 :rule reordering :premises (@p474) :args ((or @t81 @t248 @t252))) % 33.54/34.00 (step @p476 :rule chain_m_resolution :premises (@p475 @p265 @p469) :args (@t248 (@list true false) (@list @t81 @t250))) % 33.54/34.00 (step @p477 :rule instantiate :premises (@p476) :args ((@list @t154))) % 33.54/34.00 (step @p478 :rule bool-double-not-elim :args (@t156)) % 33.54/34.00 (step @p479 :rule nary_cong :premises (@p351 @p478) :args ((or @t162 (not @t157)))) % 33.54/34.00 (step @p480 :rule cnf_or_neg :args (@t162 2)) % 33.54/34.00 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 33.54/34.00 (step @p482 :rule reordering :premises (@p481) :args ((or @t156 @t162))) % 33.54/34.00 (step @p483 :rule chain_m_resolution :premises (@p482 @p349) :args (@t156 @t127 @t217)) % 33.54/34.00 (step @p484 :rule cnf_or_pos :args (@t255)) % 33.54/34.00 (step @p485 :rule reordering :premises (@p484) :args ((or @t157 @t254 (not @t255)))) % 33.54/34.00 (step @p486 :rule chain_m_resolution :premises (@p485 @p483 @p477) :args (@t254 @t121 (@list @t156 @t255))) % 33.54/34.00 (step @p487 :rule cnf_and_pos :args (@t256 0)) % 33.54/34.00 (step @p488 :rule reordering :premises (@p487) :args ((or @t253 @t257))) % 33.54/34.00 (step @p489 :rule chain_m_resolution :premises (@p488 @p486) :args (@t257 @t127 (@list @t253))) % 33.54/34.00 (step @p490 :rule eq-symm :args (@t259 @t260)) % 33.54/34.00 (step @p491 :rule refl :args (@t260)) % 33.54/34.00 (step @p492 :rule eq-symm :args (@t258 @t48)) % 33.54/34.00 (step @p493 :rule cong :premises (@p492 @p491) :args (@t261)) % 33.54/34.00 (step @p494 :rule trans :premises (@p493 @p490)) % 33.54/34.00 (step @p495 :rule refl :args (@t185)) % 33.54/34.00 (step @p496 :rule nary_cong :premises (@p363 @p362 @p495 @p494) :args (@t262)) % 33.54/34.00 (step @p497 :rule cong :premises (@p496) :args (@t264)) % 33.54/34.00 (step @p498 :rule quant-merge-prenex :args ((= (forall @t10 @t266) @t264))) % 33.54/34.00 (step @p499 :rule alpha_equiv :args (@t267 (@list @t258) @t228)) % 33.54/34.00 (step @p500 :rule nary_cong :premises (@p42 @p370 @p208 @p499) :args (@t268)) % 33.54/34.00 (step @p501 :rule quant-miniscope-or :args ((= @t266 @t268))) % 33.54/34.00 (step @p502 :rule trans :premises (@p501 @p500)) % 33.54/34.00 (step @p503 :rule symm :premises (@p502)) % 33.54/34.00 (step @p504 :rule cong :premises (@p503) :args ((forall @t10 @t271))) % 33.54/34.00 (step @p505 :rule trans :premises (@p504 @p498)) % 33.54/34.00 (step @p506 :rule trans :premises (@p505 @p497)) % 33.54/34.00 (step @p507 :rule aci_norm :args ((= (or @t110 (or @t185 @t270)) @t271))) % 33.54/34.00 (step @p508 :rule bool-impl-elim :args (@t47 @t270)) % 33.54/34.00 (step @p509 :rule nary_cong :premises (@p56 @p508) :args ((or @t111 @t272))) % 33.54/34.00 (step @p510 :rule trans :premises (@p509 @p507)) % 33.54/34.00 (step @p511 :rule bool-impl-elim :args (@t9 @t272)) % 33.54/34.00 (step @p512 :rule trans :premises (@p511 @p510)) % 33.54/34.00 (step @p513 :rule cong :premises (@p512) :args ((forall @t10 (=> @t9 @t272)))) % 33.54/34.00 (step @p514 :rule trans :premises (@p513 @p506)) % 33.54/34.00 (step @p515 :rule eq-symm :args (@t269 @t49)) % 33.54/34.00 (step @p516 :rule refl :args (@t49)) % 33.54/34.00 (step @p517 :rule eq-symm :args (@t38 @t5)) % 33.54/34.00 (step @p518 :rule refl :args (@t18)) % 33.54/34.00 (step @p519 :rule nary_cong :premises (@p518 @p517) :args (@t45)) % 33.54/34.00 (step @p520 :rule cong :premises (@p519 @p516) :args ((= @t45 @t49))) % 33.54/34.00 (step @p521 :rule trans :premises (@p520 @p515)) % 33.54/34.00 (step @p522 :rule eq-symm :args (@t49 @t45)) % 33.54/34.00 (step @p523 :rule trans :premises (@p522 @p521)) % 33.54/34.00 (step @p524 :rule cong :premises (@p523) :args (@t50)) % 33.54/34.00 (step @p525 :rule cong :premises (@p250 @p524) :args (@t51)) % 33.54/34.00 (step @p526 :rule cong :premises (@p69 @p525) :args (@t52)) % 33.54/34.00 (step @p527 :rule cong :premises (@p526) :args (@t53)) % 33.54/34.00 (step @p528 :rule trans :premises (@p527 @p514)) % 33.54/34.00 (step @p529 :rule eq_resolve :premises (@p19 @p528)) % 33.54/34.00 (step @p530 :rule bool-eq-true :args (@t256)) % 33.54/34.00 (step @p531 :rule eq-refl :args (@t154)) % 33.54/34.00 (step @p532 :rule refl :args (@t256)) % 33.54/34.00 (step @p533 :rule cong :premises (@p532 @p531) :args (@t273)) % 33.54/34.00 (step @p534 :rule trans :premises (@p533 @p530)) % 33.54/34.00 (step @p535 :rule refl :args (@t274)) % 33.54/34.00 (step @p536 :rule refl :args (@t275)) % 33.54/34.00 (step @p537 :rule nary_cong :premises (@p536 @p535 @p168 @p534) :args (@t276)) % 33.54/34.00 (step @p538 :rule refl :args (@t277)) % 33.54/34.00 (step @p539 :rule cong :premises (@p538 @p537) :args ((=> @t277 @t276))) % 33.54/34.00 (assume-push @p592 @t277) % 33.54/34.00 (step @p541 :rule instantiate :premises (@p529) :args ((@list @t94 @t89 @t154))) % 33.54/34.00 (step-pop @p593 :rule scope :premises (@p541)) % 33.54/34.00 (step @p542 :rule process_scope :premises (@p593) :args (@t276)) % 33.54/34.00 (step @p544 :rule eq_resolve :premises (@p542 @p539)) % 33.54/34.00 (step @p545 :rule implies_elim :premises (@p544)) % 33.54/34.00 (step @p546 :rule chain_m_resolution :premises (@p545 @p529) :args (@t278 @t139 (@list @t277))) % 33.54/34.00 (step @p547 :rule cnf_or_pos :args (@t278)) % 33.54/34.00 (step @p548 :rule reordering :premises (@p547) :args ((or @t161 @t275 @t274 @t256 (not @t278)))) % 33.54/34.00 (step @p549 false :rule chain_m_resolution :premises (@p548 @p546 @p489 @p465 @p429 @p356) :args (false (@list false true false false false) (@list @t278 @t256 @t241 @t234 @t160))) % 33.54/34.00 ) % 33.54/34.00 % SZS output end Proof % 33.54/34.00 % cvc5 exiting %------------------------------------------------------------------------------