%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM586+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 : n005.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 08:39:55 AM UTC 2026 % Result : Theorem 54.84s 55.07s % Output : Proof 54.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM586+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n005.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:32:33 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 54.84/55.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 54.84/55.07 --- Run --no-e-matching --full-saturate-quant at 6... % 54.84/55.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 54.84/55.07 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 54.84/55.07 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 54.84/55.07 % SZS status Theorem % 54.84/55.07 % SZS output start Proof % 54.84/55.07 ( % 54.84/55.07 (declare-sort $$unsorted 0) % 54.84/55.07 (declare-const tptp.xx $$unsorted) % 54.84/55.07 (declare-const tptp.xC $$unsorted) % 54.84/55.07 (declare-const tptp.xN $$unsorted) % 54.84/55.07 (declare-const tptp.sz00 $$unsorted) % 54.84/55.07 (declare-const tptp.xc $$unsorted) % 54.84/55.07 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 54.84/55.07 (declare-const tptp.szNzAzT0 $$unsorted) % 54.84/55.07 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 54.84/55.07 (declare-const tptp.xk $$unsorted) % 54.84/55.07 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 54.84/55.07 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 54.84/55.07 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 54.84/55.07 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 54.84/55.07 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 54.84/55.07 (declare-const tptp.xi $$unsorted) % 54.84/55.07 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 54.84/55.07 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 54.84/55.07 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.xK $$unsorted) % 54.84/55.07 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.xT $$unsorted) % 54.84/55.07 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.xS $$unsorted) % 54.84/55.07 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.slcrc0 $$unsorted) % 54.84/55.07 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 54.84/55.07 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 54.84/55.07 (define @t1 () (@var "W0" $$unsorted)) % 54.84/55.07 (define @t2 () (tptp.aSet0 @t1)) % 54.84/55.07 (define @t3 () (@list @t1)) % 54.84/55.07 (define @t4 () (tptp.aElement0 @t1)) % 54.84/55.07 (define @t5 () (@var "W1" $$unsorted)) % 54.84/55.07 (define @t6 () (tptp.aElement0 @t5)) % 54.84/55.07 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 54.84/55.07 (define @t8 () (@list @t5)) % 54.84/55.07 (define @t9 () (tptp.isFinite0 @t1)) % 54.84/55.07 (define @t10 () (= @t1 tptp.slcrc0)) % 54.84/55.07 (define @t11 () (tptp.isCountable0 @t1)) % 54.84/55.07 (define @t12 () (not @t9)) % 54.84/55.07 (define @t13 () (and @t2 @t11)) % 54.84/55.07 (define @t14 () (not @t10)) % 54.84/55.07 (define @t15 () (@var "W2" $$unsorted)) % 54.84/55.07 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 54.84/55.07 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 54.84/55.07 (define @t18 () (@list @t15)) % 54.84/55.07 (define @t19 () (tptp.aSet0 @t5)) % 54.84/55.07 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 54.84/55.07 (define @t21 () (tptp.isFinite0 @t5)) % 54.84/55.07 (define @t22 () (and @t2 @t9)) % 54.84/55.07 (define @t23 () (tptp.aSubsetOf0 @t1 @t1)) % 54.84/55.07 (define @t24 () (forall @t3 (=> @t2 @t23))) % 54.84/55.07 (define @t25 () (= @t1 @t5)) % 54.84/55.07 (define @t26 () (tptp.aSubsetOf0 @t1 @t5)) % 54.84/55.07 (define @t27 () (@list @t1 @t5)) % 54.84/55.07 (define @t28 () (tptp.aSubsetOf0 @t5 @t15)) % 54.84/55.07 (define @t29 () (tptp.aSet0 @t15)) % 54.84/55.07 (define @t30 () (@list @t1 @t5 @t15)) % 54.84/55.07 (define @t31 () (@var "W3" $$unsorted)) % 54.84/55.07 (define @t32 () (= @t31 @t5)) % 54.84/55.07 (define @t33 () (tptp.aElementOf0 @t31 @t1)) % 54.84/55.07 (define @t34 () (tptp.aElement0 @t31)) % 54.84/55.07 (define @t35 () (tptp.aElementOf0 @t31 @t15)) % 54.84/55.07 (define @t36 () (@list @t31)) % 54.84/55.07 (define @t37 () (tptp.sdtpldt0 @t1 @t5)) % 54.84/55.07 (define @t38 () (and @t2 @t6)) % 54.84/55.07 (define @t39 () (tptp.sdtmndt0 @t1 @t5)) % 54.84/55.07 (define @t40 () (tptp.sdtpldt0 @t5 @t1)) % 54.84/55.07 (define @t41 () (tptp.isCountable0 @t5)) % 54.84/55.07 (define @t42 () (and @t19 @t41)) % 54.84/55.07 (define @t43 () (tptp.sdtmndt0 @t5 @t1)) % 54.84/55.07 (define @t44 () (and @t19 @t21)) % 54.84/55.07 (define @t45 () (tptp.szszuzczcdt0 @t1)) % 54.84/55.07 (define @t46 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 54.84/55.07 (define @t47 () (tptp.szszuzczcdt0 @t5)) % 54.84/55.07 (define @t48 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 54.84/55.07 (define @t49 () (and @t46 @t48)) % 54.84/55.07 (define @t50 () (= @t1 tptp.sz00)) % 54.84/55.07 (define @t51 () (tptp.sdtlseqdt0 @t1 @t5)) % 54.84/55.07 (define @t52 () (tptp.sdtlseqdt0 @t5 @t1)) % 54.84/55.07 (define @t53 () (tptp.sdtlseqdt0 @t5 @t15)) % 54.84/55.07 (define @t54 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 54.84/55.07 (define @t55 () (tptp.sbrdtbr0 @t1)) % 54.84/55.07 (define @t56 () (and @t2 @t48)) % 54.84/55.07 (define @t57 () (tptp.szmzizndt0 @t1)) % 54.84/55.07 (define @t58 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 54.84/55.07 (define @t59 () (tptp.szmzizndt0 @t5)) % 54.84/55.07 (define @t60 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 54.84/55.07 (define @t61 () (tptp.slbdtrb0 @t1)) % 54.84/55.07 (define @t62 () (tptp.slbdtrb0 @t5)) % 54.84/55.07 (define @t63 () (tptp.aSubsetOf0 @t31 @t1)) % 54.84/55.07 (define @t64 () (tptp.slbdtsldtrb0 @t1 @t5)) % 54.84/55.07 (define @t65 () (tptp.slbdtsldtrb0 @t5 @t1)) % 54.84/55.07 (define @t66 () (tptp.aFunction0 @t1)) % 54.84/55.07 (define @t67 () (tptp.szDzozmdt0 @t1)) % 54.84/55.07 (define @t68 () (tptp.aSet0 @t67)) % 54.84/55.07 (define @t69 () (forall @t3 (=> @t66 @t68))) % 54.84/55.07 (define @t70 () (tptp.sdtlpdtrp0 @t1 @t5)) % 54.84/55.07 (define @t71 () (tptp.aElementOf0 @t5 @t67)) % 54.84/55.07 (define @t72 () (tptp.sdtlpdtrp0 @t1 @t31)) % 54.84/55.07 (define @t73 () (tptp.aElementOf0 @t31 @t67)) % 54.84/55.07 (define @t74 () (tptp.sdtlbdtrb0 @t1 @t5)) % 54.84/55.07 (define @t75 () (and @t66 @t6)) % 54.84/55.07 (define @t76 () (@var "W4" $$unsorted)) % 54.84/55.07 (define @t77 () (tptp.sdtlpdtrp0 @t1 @t76)) % 54.84/55.07 (define @t78 () (tptp.aElementOf0 @t76 @t5)) % 54.84/55.07 (define @t79 () (and @t78 (= @t77 @t31))) % 54.84/55.07 (define @t80 () (@list @t76)) % 54.84/55.07 (define @t81 () (exists @t80 @t79)) % 54.84/55.07 (define @t82 () (= @t35 @t81)) % 54.84/55.07 (define @t83 () (forall @t36 @t82)) % 54.84/55.07 (define @t84 () (and @t29 @t83)) % 54.84/55.07 (define @t85 () (tptp.sdtlcdtrc0 @t1 @t5)) % 54.84/55.07 (define @t86 () (= @t15 @t85)) % 54.84/55.07 (define @t87 () (= @t86 @t84)) % 54.84/55.07 (define @t88 () (forall @t18 @t87)) % 54.84/55.07 (define @t89 () (tptp.aSubsetOf0 @t5 @t67)) % 54.84/55.07 (define @t90 () (=> @t89 @t88)) % 54.84/55.07 (define @t91 () (forall @t8 @t90)) % 54.84/55.07 (define @t92 () (=> @t66 @t91)) % 54.84/55.07 (define @t93 () (forall @t3 @t92)) % 54.84/55.07 (define @t94 () (tptp.sdtlcdtrc0 @t1 @t67)) % 54.84/55.07 (define @t95 () (tptp.szDzozmdt0 @t15)) % 54.84/55.07 (define @t96 () (tptp.aFunction0 @t15)) % 54.84/55.07 (define @t97 () (tptp.szDzizrdt0 @t1)) % 54.84/55.07 (define @t98 () (tptp.szDzozmdt0 tptp.xc)) % 54.84/55.07 (define @t99 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 54.84/55.07 (define @t100 () (@var "W5" $$unsorted)) % 54.84/55.07 (define @t101 () (tptp.sdtlpdtrp0 tptp.xN @t45)) % 54.84/55.07 (define @t102 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 54.84/55.07 (define @t103 () (tptp.szmzizndt0 @t102)) % 54.84/55.07 (define @t104 () (tptp.sdtmndt0 @t102 @t103)) % 54.84/55.07 (define @t105 () (and (tptp.aSubsetOf0 @t102 tptp.szNzAzT0) (tptp.isCountable0 @t102))) % 54.84/55.07 (define @t106 () (tptp.szDzozmdt0 tptp.xN)) % 54.84/55.07 (define @t107 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 54.84/55.07 (define @t108 () (tptp.sdtpldt0 @t5 @t103)) % 54.84/55.07 (define @t109 () (tptp.slbdtsldtrb0 @t104 tptp.xk)) % 54.84/55.07 (define @t110 () (tptp.aElementOf0 @t5 @t109)) % 54.84/55.07 (define @t111 () (and @t19 @t110)) % 54.84/55.07 (define @t112 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 54.84/55.07 (define @t113 () (= (tptp.sdtlpdtrp0 @t112 @t5) (tptp.sdtlpdtrp0 tptp.xc @t108))) % 54.84/55.07 (define @t114 () (forall @t8 (=> @t111 @t113))) % 54.84/55.07 (define @t115 () (tptp.szDzozmdt0 @t112)) % 54.84/55.07 (define @t116 () (tptp.aFunction0 @t112)) % 54.84/55.07 (define @t117 () (and @t116 (= @t115 @t109) @t114)) % 54.84/55.07 (define @t118 () (=> @t46 @t117)) % 54.84/55.07 (define @t119 () (forall @t3 @t118)) % 54.84/55.07 (define @t120 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 54.84/55.07 (define @t121 () (tptp.sdtlpdtrp0 tptp.xC tptp.xi)) % 54.84/55.07 (define @t122 () (tptp.szDzozmdt0 @t121)) % 54.84/55.07 (define @t123 () (tptp.sdtlcdtrc0 @t121 @t122)) % 54.84/55.07 (define @t124 () (tptp.aElementOf0 tptp.xx @t123)) % 54.84/55.07 (define @t125 () (tptp.sdtlpdtrp0 @t121 @t1)) % 54.84/55.07 (define @t126 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 54.84/55.07 (define @t127 () (tptp.szmzizndt0 @t126)) % 54.84/55.07 (define @t128 () (tptp.slbdtsldtrb0 (tptp.sdtmndt0 @t126 @t127) tptp.xk)) % 54.84/55.07 (define @t129 () (tptp.aElementOf0 @t1 @t128)) % 54.84/55.07 (define @t130 () (and @t129 (= @t125 tptp.xx))) % 54.84/55.07 (define @t131 () (exists @t3 @t130)) % 54.84/55.07 (define @t132 () (not @t131)) % 54.84/55.07 (define @t133 () (= tptp.xx @t125)) % 54.84/55.07 (define @t134 () (and @t129 @t133)) % 54.84/55.07 (define @t135 () (forall @t3 (not @t134))) % 54.84/55.07 (define @t136 () (not @t135)) % 54.84/55.07 (define @t137 () (tptp.sdtlpdtrp0 @t121 @t76)) % 54.84/55.07 (define @t138 () (not (tptp.aElementOf0 @t76 @t122))) % 54.84/55.07 (define @t139 () (forall @t80 (or @t138 (not (= tptp.xx @t137))))) % 54.84/55.07 (define @t140 () (@quantifiers_skolemize @t139 0)) % 54.84/55.07 (define @t141 () (@var "BOUND_VARIABLE_8983" $$unsorted)) % 54.84/55.07 (define @t142 () (tptp.sdtlcdtrc0 @t1 @t141)) % 54.84/55.08 (define @t143 () (@var "BOUND_VARIABLE_8985" $$unsorted)) % 54.84/55.08 (define @t144 () (= @t143 @t142)) % 54.84/55.08 (define @t145 () (= @t31 @t77)) % 54.84/55.08 (define @t146 () (not @t145)) % 54.84/55.08 (define @t147 () (and (tptp.aSet0 @t143) (forall @t36 (= (not (forall @t80 (or (not (tptp.aElementOf0 @t76 @t141)) @t146))) (tptp.aElementOf0 @t31 @t143))))) % 54.84/55.08 (define @t148 () (= (= @t142 @t143) @t147)) % 54.84/55.08 (define @t149 () (not (tptp.aSubsetOf0 @t141 @t67))) % 54.84/55.08 (define @t150 () (not @t66)) % 54.84/55.08 (define @t151 () (or @t150 @t149 @t148)) % 54.84/55.08 (define @t152 () (or @t149 @t148)) % 54.84/55.08 (define @t153 () (or @t150 @t152)) % 54.84/55.08 (define @t154 () (@list @t1 @t141 @t143)) % 54.84/55.08 (define @t155 () (forall @t154 @t153)) % 54.84/55.08 (define @t156 () (@list @t141 @t143)) % 54.84/55.08 (define @t157 () (forall @t156 @t153)) % 54.84/55.08 (define @t158 () (forall @t156 @t152)) % 54.84/55.08 (define @t159 () (@var "BOUND_VARIABLE_8960" $$unsorted)) % 54.84/55.08 (define @t160 () (or @t150 @t158)) % 54.84/55.08 (define @t161 () (tptp.aElementOf0 @t31 @t159)) % 54.84/55.08 (define @t162 () (not (forall @t80 (or (not @t78) @t146)))) % 54.84/55.08 (define @t163 () (tptp.aSet0 @t159)) % 54.84/55.08 (define @t164 () (not @t89)) % 54.84/55.08 (define @t165 () (@list @t5 @t159)) % 54.84/55.08 (define @t166 () (forall @t165 (or @t164 (= (= @t85 @t159) (and @t163 (forall @t36 (= @t162 @t161))))))) % 54.84/55.08 (define @t167 () (forall @t36 (= @t161 @t162))) % 54.84/55.08 (define @t168 () (and @t163 @t167)) % 54.84/55.08 (define @t169 () (= (= @t159 @t85) @t168)) % 54.84/55.08 (define @t170 () (or @t164 @t169)) % 54.84/55.08 (define @t171 () (forall @t165 @t170)) % 54.84/55.08 (define @t172 () (@list @t159)) % 54.84/55.08 (define @t173 () (forall @t172 @t170)) % 54.84/55.08 (define @t174 () (forall @t172 @t169)) % 54.84/55.08 (define @t175 () (or @t164 @t174)) % 54.84/55.08 (define @t176 () (forall @t18 (= @t86 (and @t29 (forall @t36 (= @t35 @t162)))))) % 54.84/55.08 (define @t177 () (and @t78 @t145)) % 54.84/55.08 (define @t178 () (forall @t80 (not @t177))) % 54.84/55.08 (define @t179 () (not @t178)) % 54.84/55.08 (define @t180 () (not (forall @t80 (or @t138 (not (= @t31 @t137)))))) % 54.84/55.08 (define @t181 () (tptp.aElementOf0 @t31 @t123)) % 54.84/55.08 (define @t182 () (forall @t36 (= @t181 @t180))) % 54.84/55.08 (define @t183 () (tptp.aSet0 @t123)) % 54.84/55.08 (define @t184 () (and @t183 @t182)) % 54.84/55.08 (define @t185 () (forall @t36 (= @t180 @t181))) % 54.84/55.08 (define @t186 () (and @t183 @t185)) % 54.84/55.08 (define @t187 () (= @t186 (= @t123 @t123))) % 54.84/55.08 (define @t188 () (tptp.aSubsetOf0 @t122 @t122)) % 54.84/55.08 (define @t189 () (not @t188)) % 54.84/55.08 (define @t190 () (tptp.aFunction0 @t121)) % 54.84/55.08 (define @t191 () (not @t190)) % 54.84/55.08 (define @t192 () (or @t191 @t189 @t187)) % 54.84/55.08 (define @t193 () (forall @t154 (or @t150 @t149 (= @t147 @t144)))) % 54.84/55.08 (define @t194 () (or @t191 @t189 @t184)) % 54.84/55.08 (define @t195 () (@list false)) % 54.84/55.08 (define @t196 () (@var "BOUND_VARIABLE_9340" $$unsorted)) % 54.84/55.08 (define @t197 () (or (not (tptp.aSet0 @t196)) (not (tptp.aElementOf0 @t196 @t109)) (= (tptp.sdtlpdtrp0 @t112 @t196) (tptp.sdtlpdtrp0 tptp.xc (tptp.sdtpldt0 @t196 @t103))))) % 54.84/55.08 (define @t198 () (= @t109 @t115)) % 54.84/55.08 (define @t199 () (and @t116 @t198 @t197)) % 54.84/55.08 (define @t200 () (not @t46)) % 54.84/55.08 (define @t201 () (or @t200 @t199)) % 54.84/55.08 (define @t202 () (@list @t1 @t196)) % 54.84/55.08 (define @t203 () (forall @t202 @t201)) % 54.84/55.08 (define @t204 () (@list @t196)) % 54.84/55.08 (define @t205 () (forall @t204 @t201)) % 54.84/55.08 (define @t206 () (forall @t204 @t197)) % 54.84/55.08 (define @t207 () (forall @t204 @t198)) % 54.84/55.08 (define @t208 () (forall @t204 @t116)) % 54.84/55.08 (define @t209 () (and @t208 @t207 @t206)) % 54.84/55.08 (define @t210 () (forall @t204 @t199)) % 54.84/55.08 (define @t211 () (or @t200 @t210)) % 54.84/55.08 (define @t212 () (not @t110)) % 54.84/55.08 (define @t213 () (not @t19)) % 54.84/55.08 (define @t214 () (or @t213 @t212 @t113)) % 54.84/55.08 (define @t215 () (and @t116 @t198 (forall @t8 @t214))) % 54.84/55.08 (define @t216 () (or (not (tptp.aSet0 tptp.sz00)) (not (tptp.aElementOf0 tptp.sz00 @t128)) (= (tptp.sdtlpdtrp0 @t121 tptp.sz00) (tptp.sdtlpdtrp0 tptp.xc (tptp.sdtpldt0 tptp.sz00 @t127))))) % 54.84/55.08 (define @t217 () (and @t190 (= @t128 @t122) @t216)) % 54.84/55.08 (define @t218 () (tptp.aElementOf0 tptp.xi @t106)) % 54.84/55.08 (define @t219 () (not @t218)) % 54.84/55.08 (define @t220 () (or @t219 @t217)) % 54.84/55.08 (define @t221 () (forall @t202 (or (not (tptp.aElementOf0 @t1 @t106)) @t199))) % 54.84/55.08 (define @t222 () (= @t122 @t128)) % 54.84/55.08 (define @t223 () (and @t190 @t222 @t216)) % 54.84/55.08 (define @t224 () (or @t219 @t223)) % 54.84/55.08 (define @t225 () (@list false false)) % 54.84/55.08 (define @t226 () (not @t223)) % 54.84/55.08 (define @t227 () (@list @t223)) % 54.84/55.08 (define @t228 () (tptp.aSet0 @t122)) % 54.84/55.08 (define @t229 () (or @t191 @t228)) % 54.84/55.08 (define @t230 () (not @t228)) % 54.84/55.08 (define @t231 () (or @t230 @t188)) % 54.84/55.08 (define @t232 () (not @t139)) % 54.84/55.08 (define @t233 () (= @t124 @t232)) % 54.84/55.08 (define @t234 () (= tptp.xx (tptp.sdtlpdtrp0 @t121 @t140))) % 54.84/55.08 (define @t235 () (not @t234)) % 54.84/55.08 (define @t236 () (tptp.aElementOf0 @t140 @t122)) % 54.84/55.08 (define @t237 () (not @t236)) % 54.84/55.08 (define @t238 () (or @t237 @t235)) % 54.84/55.08 (define @t239 () (@list true)) % 54.84/55.08 (define @t240 () (@list @t238)) % 54.84/55.08 (define @t241 () (not (tptp.aElementOf0 @t140 @t128))) % 54.84/55.08 (define @t242 () (or @t241 @t235)) % 54.84/55.08 (assume @p1 (forall @t3 (=> @t2 true))) % 54.84/55.08 (assume @p2 (forall @t3 (=> @t4 true))) % 54.84/55.08 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 54.84/55.08 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 54.84/55.08 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 54.84/55.08 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 54.84/55.08 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 54.84/55.08 (assume @p8 (forall @t3 (=> @t13 @t12))) % 54.84/55.08 (assume @p9 (forall @t3 (=> @t13 @t14))) % 54.84/55.08 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 54.84/55.08 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 54.84/55.08 (assume @p12 @t24) % 54.84/55.08 (assume @p13 (forall @t27 (=> (and @t2 @t19) (=> (and @t26 @t20) @t25)))) % 54.84/55.08 (assume @p14 (forall @t30 (=> (and @t2 @t19 @t29) (=> (and @t26 @t28) (tptp.aSubsetOf0 @t1 @t15))))) % 54.84/55.08 (assume @p15 (forall @t27 (=> @t38 (forall @t18 (= (= @t15 @t37) (and @t29 (forall @t36 (= @t35 (and @t34 (or @t33 @t32)))))))))) % 54.84/55.08 (assume @p16 (forall @t27 (=> @t38 (forall @t18 (= (= @t15 @t39) (and @t29 (forall @t36 (= @t35 (and @t34 @t33 (not @t32)))))))))) % 54.84/55.08 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t39 @t5) @t1)))))) % 54.84/55.08 (assume @p18 (forall @t27 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t40 @t1) @t5))))) % 54.84/55.08 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isCountable0 @t40)))))) % 54.84/55.08 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isCountable0 @t43)))))) % 54.84/55.08 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t44 (tptp.isFinite0 @t40)))))) % 54.84/55.08 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t44 (tptp.isFinite0 @t43)))))) % 54.84/55.08 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 54.84/55.08 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 54.84/55.08 (assume @p25 (forall @t3 (=> @t46 (and (tptp.aElementOf0 @t45 tptp.szNzAzT0) (not (= @t45 tptp.sz00)))))) % 54.84/55.08 (assume @p26 (forall @t27 (=> @t49 (=> (= @t45 @t47) @t25)))) % 54.84/55.08 (assume @p27 (forall @t3 (=> @t46 (or @t50 (exists @t8 (and @t48 (= @t1 @t47))))))) % 54.84/55.08 (assume @p28 (forall @t3 (=> @t46 (not (= @t1 @t45))))) % 54.84/55.08 (assume @p29 (forall @t27 (=> @t49 (=> @t51 true)))) % 54.84/55.08 (assume @p30 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 54.84/55.08 (assume @p31 (forall @t3 (=> @t46 (not (tptp.sdtlseqdt0 @t45 tptp.sz00))))) % 54.84/55.08 (assume @p32 (forall @t27 (=> @t49 (= @t51 (tptp.sdtlseqdt0 @t45 @t47))))) % 54.84/55.08 (assume @p33 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 @t1 @t45)))) % 54.84/55.08 (assume @p34 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 @t1 @t1)))) % 54.84/55.08 (assume @p35 (forall @t27 (=> @t49 (=> (and @t51 @t52) @t25)))) % 54.84/55.08 (assume @p36 (forall @t30 (=> (and @t46 @t48 @t54) (=> (and @t51 @t53) (tptp.sdtlseqdt0 @t1 @t15))))) % 54.84/55.08 (assume @p37 (forall @t27 (=> @t49 (or @t51 (tptp.sdtlseqdt0 @t47 @t1))))) % 54.84/55.08 (assume @p38 (forall @t27 (=> @t49 (=> (tptp.iLess0 @t1 @t5) true)))) % 54.84/55.08 (assume @p39 (forall @t3 (=> @t46 (tptp.iLess0 @t1 @t45)))) % 54.84/55.08 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t55)))) % 54.84/55.08 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t55 tptp.szNzAzT0) @t9)))) % 54.84/55.08 (assume @p42 (forall @t3 (=> @t2 (= (= @t55 tptp.sz00) @t10)))) % 54.84/55.08 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t37) (tptp.szszuzczcdt0 @t55)))))))) % 54.84/55.08 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t39)) @t55)))))) % 54.84/55.08 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t55)))))) % 54.84/55.08 (assume @p46 (forall @t27 (=> @t56 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t55)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 54.84/55.08 (assume @p47 (forall @t3 (=> (and @t58 @t14) (forall @t8 (= (= @t5 @t57) (and @t7 (forall @t18 (=> @t16 @t53)))))))) % 54.84/55.08 (assume @p48 (forall @t3 (=> (and @t58 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 54.84/55.08 (assume @p49 (forall @t27 (=> (and @t58 @t60 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t57 @t5) (tptp.aElementOf0 @t59 @t1)) (= @t57 @t59))))) % 54.84/55.08 (assume @p50 (forall @t3 (=> @t46 (forall @t8 (= (= @t5 @t61) (and @t19 (forall @t18 (= @t17 (and @t54 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 54.84/55.08 (assume @p51 (forall @t3 (=> @t46 (tptp.isFinite0 @t61)))) % 54.84/55.08 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 54.84/55.08 (assume @p53 (forall @t27 (=> @t49 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t47)) (or (tptp.aElementOf0 @t1 @t62) @t25))))) % 54.84/55.08 (assume @p54 (forall @t27 (=> @t49 (= @t51 (tptp.aSubsetOf0 @t61 @t62))))) % 54.84/55.08 (assume @p55 (forall @t3 (=> (and @t58 @t9) (exists @t8 (and @t48 (tptp.aSubsetOf0 @t1 @t62)))))) % 54.84/55.08 (assume @p56 (forall @t3 (=> @t46 (= (tptp.sbrdtbr0 @t61) @t1)))) % 54.84/55.08 (assume @p57 (forall @t27 (=> @t56 (forall @t18 (= (= @t15 @t64) (and @t29 (forall @t36 (= @t35 (and @t63 (= (tptp.sbrdtbr0 @t31) @t5)))))))))) % 54.84/55.08 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t48 (tptp.isFinite0 @t64)))))) % 54.84/55.08 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t48 (not (= @t64 tptp.slcrc0))))))) % 54.84/55.08 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t48 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t64)))))) % 54.84/55.08 (assume @p61 (forall @t3 (=> @t46 (forall (@list @t5 @t15) (=> (and @t19 @t29 (not @t50)) (=> (and (tptp.aSubsetOf0 @t65 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t65 tptp.slcrc0))) @t28)))))) % 54.84/55.08 (assume @p62 (forall @t27 (=> @t56 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t64) (tptp.isFinite0 @t15)) (exists @t36 (and @t63 (tptp.isFinite0 @t31) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t31 @t5))))))))) % 54.84/55.08 (assume @p63 (forall @t3 (=> @t66 true))) % 54.84/55.08 (assume @p64 @t69) % 54.84/55.08 (assume @p65 (forall @t3 (=> @t66 (forall @t8 (=> @t71 (tptp.aElement0 @t70)))))) % 54.84/55.08 (assume @p66 (forall @t27 (=> @t75 (forall @t18 (= (= @t15 @t74) (and @t29 (forall @t36 (= @t35 (and @t73 (= @t72 @t5)))))))))) % 54.84/55.08 (assume @p67 (forall @t27 (=> @t75 (tptp.aSubsetOf0 @t74 @t67)))) % 54.84/55.08 (assume @p68 @t93) % 54.84/55.08 (assume @p69 (forall @t3 (=> @t66 (forall @t8 (=> @t71 (tptp.aElementOf0 @t70 @t94)))))) % 54.84/55.08 (assume @p70 (forall @t3 (=> @t66 (forall @t8 (=> @t89 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t96 (= @t95 @t5) (forall @t36 (=> (tptp.aElementOf0 @t31 @t5) (= (tptp.sdtlpdtrp0 @t15 @t31) @t72))))))))))) % 54.84/55.08 (assume @p71 (forall @t3 (=> @t66 (forall @t8 (=> (and @t89 @t41) (=> (forall (@list @t15 @t31) (=> (and (tptp.aElementOf0 @t15 @t67) @t73 (not (= @t15 @t31))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t72)))) (tptp.isCountable0 @t85))))))) % 54.84/55.08 (assume @p72 (forall @t3 (=> @t66 (=> (and (tptp.isCountable0 @t67) (tptp.isFinite0 @t94)) (and (tptp.aElement0 @t97) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t97))))))) % 54.84/55.08 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 54.84/55.08 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 54.84/55.08 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 54.84/55.08 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t98 @t99) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t98) tptp.xT))) % 54.84/55.08 (assume @p77 (forall @t3 (=> @t46 (forall @t8 (=> (and @t60 @t41) (forall @t18 (=> (and @t96 (= @t95 @t65) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t95) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t36 (and (tptp.aElementOf0 @t31 tptp.xT) (exists @t80 (and (tptp.aSubsetOf0 @t76 @t5) (tptp.isCountable0 @t76) (forall (@list @t100) (=> (tptp.aElementOf0 @t100 (tptp.slbdtsldtrb0 @t76 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t100) @t31))))))))))))))) % 54.84/55.08 (assume @p78 (not (= tptp.xK tptp.sz00))) % 54.84/55.08 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 54.84/55.08 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t106 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t46 (=> @t105 (and (tptp.aSubsetOf0 @t101 @t104) (tptp.isCountable0 @t101))))))) % 54.84/55.08 (assume @p81 (forall @t3 (=> @t46 @t105))) % 54.84/55.08 (assume @p82 (forall @t27 (=> @t49 (=> @t52 (tptp.aSubsetOf0 @t102 @t107))))) % 54.84/55.08 (assume @p83 (forall @t27 (=> (and @t46 @t48 (not @t25)) (not (= @t103 (tptp.szmzizndt0 @t107)))))) % 54.84/55.08 (assume @p84 (forall @t3 (=> @t46 (forall @t8 (=> @t111 (tptp.aElementOf0 @t108 @t99)))))) % 54.84/55.08 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) @t119)) % 54.84/55.08 (assume @p86 @t120) % 54.84/55.08 (assume @p87 @t124) % 54.84/55.08 (assume @p88 @t132) % 54.84/55.08 (assume @p89 true) % 54.84/55.08 (step @p90 :rule evaluate :args ((= true false))) % 54.84/55.08 (step @p91 :rule bool-double-not-elim :args ((forall @t3 (or (not @t129) (not @t133))))) % 54.84/55.08 (step @p92 :rule bool-and-de-morgan :args (@t129 @t133 true)) % 54.84/55.08 (step @p93 :rule cong :premises (@p92) :args (@t135)) % 54.84/55.08 (step @p94 :rule cong :premises (@p93) :args (@t136)) % 54.84/55.08 (step @p95 :rule exists-elim :args ((= (exists @t3 @t134) @t136))) % 54.84/55.08 (step @p96 :rule trans :premises (@p95 @p94)) % 54.84/55.08 (step @p97 :rule eq-symm :args (@t125 tptp.xx)) % 54.84/55.08 (step @p98 :rule refl :args (@t129)) % 54.84/55.08 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t130)) % 54.84/55.08 (step @p100 :rule cong :premises (@p99) :args (@t131)) % 54.84/55.08 (step @p101 :rule trans :premises (@p100 @p96)) % 54.84/55.08 (step @p102 :rule cong :premises (@p101) :args (@t132)) % 54.84/55.08 (step @p103 :rule trans :premises (@p102 @p91)) % 54.84/55.08 (step @p104 :rule eq_resolve :premises (@p88 @p103)) % 54.84/55.08 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t140))) % 54.84/55.08 (step @p106 :rule eq-symm :args (@t144 @t147)) % 54.84/55.08 (step @p107 :rule refl :args (@t147)) % 54.84/55.08 (step @p108 :rule eq-symm :args (@t142 @t143)) % 54.84/55.08 (step @p109 :rule cong :premises (@p108 @p107) :args (@t148)) % 54.84/55.08 (step @p110 :rule trans :premises (@p109 @p106)) % 54.84/55.08 (step @p111 :rule refl :args (@t149)) % 54.84/55.08 (step @p112 :rule refl :args (@t150)) % 54.84/55.08 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t151)) % 54.84/55.08 (step @p114 :rule aci_norm :args ((= @t153 @t151))) % 54.84/55.08 (step @p115 :rule trans :premises (@p114 @p113)) % 54.84/55.08 (step @p116 :rule cong :premises (@p115) :args (@t155)) % 54.84/55.08 (step @p117 :rule quant-merge-prenex :args ((= (forall @t3 @t157) @t155))) % 54.84/55.08 (step @p118 :rule alpha_equiv :args (@t158 (@list @t141 @t143) (@list @t5 @t159))) % 54.84/55.08 (step @p119 :rule refl :args (@t150)) % 54.84/55.08 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t160)) % 54.84/55.08 (step @p121 :rule quant-miniscope-or :args ((= @t157 @t160))) % 54.84/55.08 (step @p122 :rule trans :premises (@p121 @p120)) % 54.84/55.08 (step @p123 :rule symm :premises (@p122)) % 54.84/55.08 (step @p124 :rule cong :premises (@p123) :args ((forall @t3 (or @t150 @t166)))) % 54.84/55.08 (step @p125 :rule trans :premises (@p124 @p117)) % 54.84/55.08 (step @p126 :rule trans :premises (@p125 @p116)) % 54.84/55.08 (step @p127 :rule bool-impl-elim :args (@t66 @t166)) % 54.84/55.08 (step @p128 :rule cong :premises (@p127) :args ((forall @t3 (=> @t66 @t166)))) % 54.84/55.08 (step @p129 :rule trans :premises (@p128 @p126)) % 54.84/55.08 (step @p130 :rule eq-symm :args (@t161 @t162)) % 54.84/55.08 (step @p131 :rule cong :premises (@p130) :args (@t167)) % 54.84/55.08 (step @p132 :rule refl :args (@t163)) % 54.84/55.08 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t168)) % 54.84/55.08 (step @p134 :rule eq-symm :args (@t159 @t85)) % 54.84/55.08 (step @p135 :rule cong :premises (@p134 @p133) :args (@t169)) % 54.84/55.08 (step @p136 :rule refl :args (@t164)) % 54.84/55.08 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t170)) % 54.84/55.08 (step @p138 :rule cong :premises (@p137) :args (@t171)) % 54.84/55.08 (step @p139 :rule quant-merge-prenex :args ((= (forall @t8 @t173) @t171))) % 54.84/55.08 (step @p140 :rule alpha_equiv :args (@t174 (@list @t159) (@list @t15))) % 54.84/55.08 (step @p141 :rule refl :args (@t164)) % 54.84/55.08 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t175)) % 54.84/55.08 (step @p143 :rule quant-miniscope-or :args ((= @t173 @t175))) % 54.84/55.08 (step @p144 :rule trans :premises (@p143 @p142)) % 54.84/55.08 (step @p145 :rule symm :premises (@p144)) % 54.84/55.08 (step @p146 :rule cong :premises (@p145) :args ((forall @t8 (or @t164 @t176)))) % 54.84/55.08 (step @p147 :rule trans :premises (@p146 @p139)) % 54.84/55.08 (step @p148 :rule trans :premises (@p147 @p138)) % 54.84/55.08 (step @p149 :rule bool-impl-elim :args (@t89 @t176)) % 54.84/55.08 (step @p150 :rule cong :premises (@p149) :args ((forall @t8 (=> @t89 @t176)))) % 54.84/55.08 (step @p151 :rule trans :premises (@p150 @p148)) % 54.84/55.08 (step @p152 :rule bool-and-de-morgan :args (@t78 @t145 true)) % 54.84/55.08 (step @p153 :rule cong :premises (@p152) :args (@t178)) % 54.84/55.08 (step @p154 :rule cong :premises (@p153) :args (@t179)) % 54.84/55.08 (step @p155 :rule exists-elim :args ((= (exists @t80 @t177) @t179))) % 54.84/55.08 (step @p156 :rule trans :premises (@p155 @p154)) % 54.84/55.08 (step @p157 :rule eq-symm :args (@t77 @t31)) % 54.84/55.08 (step @p158 :rule refl :args (@t78)) % 54.84/55.08 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t79)) % 54.84/55.08 (step @p160 :rule cong :premises (@p159) :args (@t81)) % 54.84/55.08 (step @p161 :rule trans :premises (@p160 @p156)) % 54.84/55.08 (step @p162 :rule refl :args (@t35)) % 54.84/55.08 (step @p163 :rule cong :premises (@p162 @p161) :args (@t82)) % 54.84/55.08 (step @p164 :rule cong :premises (@p163) :args (@t83)) % 54.84/55.08 (step @p165 :rule refl :args (@t29)) % 54.84/55.08 (step @p166 :rule nary_cong :premises (@p165 @p164) :args (@t84)) % 54.84/55.08 (step @p167 :rule refl :args (@t86)) % 54.84/55.08 (step @p168 :rule cong :premises (@p167 @p166) :args (@t87)) % 54.84/55.08 (step @p169 :rule cong :premises (@p168) :args (@t88)) % 54.84/55.08 (step @p170 :rule refl :args (@t89)) % 54.84/55.08 (step @p171 :rule cong :premises (@p170 @p169) :args (@t90)) % 54.84/55.08 (step @p172 :rule cong :premises (@p171) :args (@t91)) % 54.84/55.08 (step @p173 :rule trans :premises (@p172 @p151)) % 54.84/55.08 (step @p174 :rule refl :args (@t66)) % 54.84/55.08 (step @p175 :rule cong :premises (@p174 @p173) :args (@t92)) % 54.84/55.08 (step @p176 :rule cong :premises (@p175) :args (@t93)) % 54.84/55.08 (step @p177 :rule trans :premises (@p176 @p129)) % 54.84/55.08 (step @p178 :rule eq_resolve :premises (@p68 @p177)) % 54.84/55.08 (step @p179 :rule bool-eq-true :args (@t184)) % 54.84/55.08 (step @p180 :rule eq-refl :args (@t123)) % 54.84/55.08 (step @p181 :rule eq-symm :args (@t180 @t181)) % 54.84/55.08 (step @p182 :rule cong :premises (@p181) :args (@t185)) % 54.84/55.08 (step @p183 :rule refl :args (@t183)) % 54.84/55.08 (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t186)) % 54.84/55.08 (step @p185 :rule cong :premises (@p184 @p180) :args (@t187)) % 54.84/55.08 (step @p186 :rule trans :premises (@p185 @p179)) % 54.84/55.08 (step @p187 :rule refl :args (@t189)) % 54.84/55.08 (step @p188 :rule refl :args (@t191)) % 54.84/55.08 (step @p189 :rule nary_cong :premises (@p188 @p187 @p186) :args (@t192)) % 54.84/55.08 (step @p190 :rule refl :args (@t193)) % 54.84/55.08 (step @p191 :rule cong :premises (@p190 @p189) :args ((=> @t193 @t192))) % 54.84/55.08 (assume-push @p317 @t193) % 54.84/55.08 (step @p193 :rule instantiate :premises (@p178) :args ((@list @t121 @t122 @t123))) % 54.84/55.08 (step-pop @p318 :rule scope :premises (@p193)) % 54.84/55.08 (step @p194 :rule process_scope :premises (@p318) :args (@t192)) % 54.84/55.08 (step @p196 :rule eq_resolve :premises (@p194 @p191)) % 54.84/55.08 (step @p197 :rule implies_elim :premises (@p196)) % 54.84/55.08 (step @p198 :rule chain_m_resolution :premises (@p197 @p178) :args (@t194 @t195 (@list @t193))) % 54.84/55.08 (step @p199 :rule bool-impl-elim :args (@t2 @t23)) % 54.84/55.08 (step @p200 :rule cong :premises (@p199) :args (@t24)) % 54.84/55.08 (step @p201 :rule eq_resolve :premises (@p12 @p200)) % 54.84/55.08 (step @p202 :rule instantiate :premises (@p201) :args ((@list @t122))) % 54.84/55.08 (step @p203 :rule bool-impl-elim :args (@t66 @t68)) % 54.84/55.08 (step @p204 :rule cong :premises (@p203) :args (@t69)) % 54.84/55.08 (step @p205 :rule eq_resolve :premises (@p64 @p204)) % 54.84/55.08 (step @p206 :rule instantiate :premises (@p205) :args ((@list @t121))) % 54.84/55.08 (step @p207 :rule refl :args (@t199)) % 54.84/55.08 (step @p208 :rule and_elim :premises (@p80) :args (1)) % 54.84/55.08 (step @p209 :rule symm :premises (@p208)) % 54.84/55.08 (step @p210 :rule refl :args (@t1)) % 54.84/55.08 (step @p211 :rule cong :premises (@p210 @p209) :args (@t46)) % 54.84/55.08 (step @p212 :rule cong :premises (@p211) :args (@t200)) % 54.84/55.08 (step @p213 :rule nary_cong :premises (@p212 @p207) :args (@t201)) % 54.84/55.08 (step @p214 :rule cong :premises (@p213) :args (@t203)) % 54.84/55.08 (step @p215 :rule quant-merge-prenex :args ((= (forall @t3 @t205) @t203))) % 54.84/55.08 (step @p216 :rule alpha_equiv :args (@t206 (@list @t196) (@list @t5))) % 54.84/55.08 (step @p217 :rule quant-unused-vars :args ((= @t207 @t198))) % 54.84/55.08 (step @p218 :rule quant-unused-vars :args ((= @t208 @t116))) % 54.84/55.08 (step @p219 :rule nary_cong :premises (@p218 @p217 @p216) :args (@t209)) % 54.84/55.08 (step @p220 :rule quant-miniscope-and :args ((= @t210 @t209))) % 54.84/55.08 (step @p221 :rule trans :premises (@p220 @p219)) % 54.84/55.08 (step @p222 :rule refl :args (@t200)) % 54.84/55.08 (step @p223 :rule nary_cong :premises (@p222 @p221) :args (@t211)) % 54.84/55.08 (step @p224 :rule quant-miniscope-or :args ((= @t205 @t211))) % 54.84/55.08 (step @p225 :rule trans :premises (@p224 @p223)) % 54.84/55.08 (step @p226 :rule symm :premises (@p225)) % 54.84/55.08 (step @p227 :rule cong :premises (@p226) :args ((forall @t3 (or @t200 @t215)))) % 54.84/55.08 (step @p228 :rule trans :premises (@p227 @p215)) % 54.84/55.08 (step @p229 :rule bool-impl-elim :args (@t46 @t215)) % 54.84/55.08 (step @p230 :rule cong :premises (@p229) :args ((forall @t3 (=> @t46 @t215)))) % 54.84/55.08 (step @p231 :rule trans :premises (@p230 @p228)) % 54.84/55.08 (step @p232 :rule aci_norm :args ((= (or (or @t213 @t212) @t113) @t214))) % 54.84/55.08 (step @p233 :rule refl :args (@t113)) % 54.84/55.08 (step @p234 :rule bool-and-de-morgan :args (@t19 @t110 true)) % 54.84/55.08 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or (not @t111) @t113))) % 54.84/55.08 (step @p236 :rule trans :premises (@p235 @p232)) % 54.84/55.08 (step @p237 :rule bool-impl-elim :args (@t111 @t113)) % 54.84/55.08 (step @p238 :rule trans :premises (@p237 @p236)) % 54.84/55.08 (step @p239 :rule cong :premises (@p238) :args (@t114)) % 54.84/55.08 (step @p240 :rule eq-symm :args (@t115 @t109)) % 54.84/55.08 (step @p241 :rule refl :args (@t116)) % 54.84/55.08 (step @p242 :rule nary_cong :premises (@p241 @p240 @p239) :args (@t117)) % 54.84/55.08 (step @p243 :rule refl :args (@t46)) % 54.84/55.08 (step @p244 :rule cong :premises (@p243 @p242) :args (@t118)) % 54.84/55.08 (step @p245 :rule cong :premises (@p244) :args (@t119)) % 54.84/55.08 (step @p246 :rule trans :premises (@p245 @p231)) % 54.84/55.08 (step @p247 :rule trans :premises (@p246 @p214)) % 54.84/55.08 (step @p248 :rule and_elim :premises (@p85) :args (2)) % 54.84/55.08 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 54.84/55.08 (step @p250 :rule refl :args (@t216)) % 54.84/55.08 (step @p251 :rule eq-symm :args (@t128 @t122)) % 54.84/55.08 (step @p252 :rule refl :args (@t190)) % 54.84/55.08 (step @p253 :rule nary_cong :premises (@p252 @p251 @p250) :args (@t217)) % 54.84/55.08 (step @p254 :rule refl :args (@t219)) % 54.84/55.08 (step @p255 :rule nary_cong :premises (@p254 @p253) :args (@t220)) % 54.84/55.08 (step @p256 :rule refl :args (@t221)) % 54.84/55.08 (step @p257 :rule cong :premises (@p256 @p255) :args ((=> @t221 @t220))) % 54.84/55.08 (assume-push @p319 @t221) % 54.84/55.08 (step @p259 :rule instantiate :premises (@p249) :args ((@list tptp.xi tptp.sz00))) % 54.84/55.08 (step-pop @p320 :rule scope :premises (@p259)) % 54.84/55.08 (step @p260 :rule process_scope :premises (@p320) :args (@t220)) % 54.84/55.08 (step @p262 :rule eq_resolve :premises (@p260 @p257)) % 54.84/55.08 (step @p263 :rule implies_elim :premises (@p262)) % 54.84/55.08 (step @p264 :rule chain_m_resolution :premises (@p263 @p249) :args (@t224 @t195 (@list @t221))) % 54.84/55.08 (step @p265 :rule refl :args (tptp.xi)) % 54.84/55.08 (step @p266 :rule cong :premises (@p265 @p209) :args (@t120)) % 54.84/55.08 (step @p267 :rule eq_resolve :premises (@p86 @p266)) % 54.84/55.08 (step @p268 :rule cnf_or_pos :args (@t224)) % 54.84/55.08 (step @p269 :rule reordering :premises (@p268) :args ((or @t219 @t223 (not @t224)))) % 54.84/55.08 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p264) :args (@t223 @t225 (@list @t218 @t224))) % 54.84/55.08 (step @p271 :rule cnf_and_pos :args (@t223 0)) % 54.84/55.08 (step @p272 :rule reordering :premises (@p271) :args ((or @t190 @t226))) % 54.84/55.08 (step @p273 :rule chain_m_resolution :premises (@p272 @p270) :args (@t190 @t195 @t227)) % 54.84/55.08 (step @p274 :rule cnf_or_pos :args (@t229)) % 54.84/55.08 (step @p275 :rule reordering :premises (@p274) :args ((or @t191 @t228 (not @t229)))) % 54.84/55.08 (step @p276 :rule chain_m_resolution :premises (@p275 @p273 @p206) :args (@t228 @t225 (@list @t190 @t229))) % 54.84/55.08 (step @p277 :rule cnf_or_pos :args (@t231)) % 54.84/55.08 (step @p278 :rule reordering :premises (@p277) :args ((or @t188 @t230 (not @t231)))) % 54.84/55.08 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p202) :args (@t188 @t225 (@list @t228 @t231))) % 54.84/55.08 (step @p280 :rule cnf_or_pos :args (@t194)) % 54.84/55.08 (step @p281 :rule reordering :premises (@p280) :args ((or @t191 @t189 @t184 (not @t194)))) % 54.84/55.08 (step @p282 :rule chain_m_resolution :premises (@p281 @p273 @p279 @p198) :args (@t184 (@list false false false) (@list @t190 @t188 @t194))) % 54.84/55.08 (step @p283 :rule cnf_and_pos :args (@t184 1)) % 54.84/55.08 (step @p284 :rule reordering :premises (@p283) :args ((or @t182 (not @t184)))) % 54.84/55.08 (step @p285 :rule chain_m_resolution :premises (@p284 @p282) :args (@t182 @t195 (@list @t184))) % 54.84/55.08 (step @p286 :rule instantiate :premises (@p285) :args ((@list tptp.xx))) % 54.84/55.08 (step @p287 :rule cnf_equiv_pos1 :args (@t233)) % 54.84/55.08 (step @p288 :rule reordering :premises (@p287) :args ((or (not @t124) @t232 (not @t233)))) % 54.84/55.08 (step @p289 :rule chain_m_resolution :premises (@p288 @p87 @p286) :args (@t232 @t225 (@list @t124 @t233))) % 54.84/55.08 (step @p290 :rule skolemize :premises (@p289)) % 54.84/55.08 (step @p291 :rule bool-double-not-elim :args (@t234)) % 54.84/55.08 (step @p292 :rule refl :args (@t238)) % 54.84/55.08 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((or @t238 (not @t235)))) % 54.84/55.08 (step @p294 :rule cnf_or_neg :args (@t238 1)) % 54.84/55.08 (step @p295 :rule eq_resolve :premises (@p294 @p293)) % 54.84/55.08 (step @p296 :rule reordering :premises (@p295) :args ((or @t234 @t238))) % 54.84/55.09 (step @p297 :rule chain_m_resolution :premises (@p296 @p290) :args (@t234 @t239 @t240)) % 54.84/55.09 (step @p298 :rule cnf_or_pos :args (@t242)) % 54.84/55.09 (step @p299 :rule reordering :premises (@p298) :args ((or @t235 @t241 (not @t242)))) % 54.84/55.09 (step @p300 :rule chain_m_resolution :premises (@p299 @p297 @p105) :args (@t241 @t225 (@list @t234 @t242))) % 54.84/55.09 (step @p301 :rule false_intro :premises (@p300)) % 54.84/55.09 (step @p302 :rule cnf_and_pos :args (@t223 1)) % 54.84/55.09 (step @p303 :rule reordering :premises (@p302) :args ((or @t222 @t226))) % 54.84/55.09 (step @p304 :rule chain_m_resolution :premises (@p303 @p270) :args (@t222 @t195 @t227)) % 54.84/55.09 (step @p305 :rule refl :args (@t140)) % 54.84/55.09 (step @p306 :rule cong :premises (@p305 @p304) :args (@t236)) % 54.84/55.09 (step @p307 :rule bool-double-not-elim :args (@t236)) % 54.84/55.09 (step @p308 :rule nary_cong :premises (@p292 @p307) :args ((or @t238 (not @t237)))) % 54.84/55.09 (step @p309 :rule cnf_or_neg :args (@t238 0)) % 54.84/55.09 (step @p310 :rule eq_resolve :premises (@p309 @p308)) % 54.84/55.09 (step @p311 :rule reordering :premises (@p310) :args ((or @t236 @t238))) % 54.84/55.09 (step @p312 :rule chain_m_resolution :premises (@p311 @p290) :args (@t236 @t239 @t240)) % 54.84/55.09 (step @p313 :rule true_intro :premises (@p312)) % 54.84/55.09 (step @p314 :rule symm :premises (@p313)) % 54.84/55.09 (step @p315 :rule trans :premises (@p314 @p306 @p301)) % 54.84/55.09 (step @p316 false :rule eq_resolve :premises (@p315 @p90)) % 54.84/55.09 ) % 54.84/55.09 % SZS output end Proof % 54.84/55.09 % cvc5 exiting %------------------------------------------------------------------------------