%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM578+3 : 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 : n021.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 08:39:54 AM UTC 2026 % Result : Theorem 15.59s 15.85s % Output : Proof 15.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM578+3 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:33:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 15.59/15.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.59/15.85 --- Run --no-e-matching --full-saturate-quant at 6... % 15.59/15.85 % SZS status Theorem % 15.59/15.85 % SZS output start Proof % 15.59/15.85 ( % 15.59/15.85 (declare-sort $$unsorted 0) % 15.59/15.85 (declare-const tptp.xN $$unsorted) % 15.59/15.85 (declare-const tptp.sz00 $$unsorted) % 15.59/15.85 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 15.59/15.85 (declare-const tptp.szNzAzT0 $$unsorted) % 15.59/15.85 (declare-const tptp.xi $$unsorted) % 15.59/15.85 (declare-const tptp.xk $$unsorted) % 15.59/15.85 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 15.59/15.85 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 15.59/15.85 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 15.59/15.85 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 15.59/15.85 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 15.59/15.85 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 15.59/15.85 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 15.59/15.85 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 15.59/15.85 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.xK $$unsorted) % 15.59/15.85 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.xT $$unsorted) % 15.59/15.85 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.xS $$unsorted) % 15.59/15.85 (declare-const tptp.xj $$unsorted) % 15.59/15.85 (declare-const tptp.xc $$unsorted) % 15.59/15.85 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.slcrc0 $$unsorted) % 15.59/15.85 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 15.59/15.85 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 15.59/15.85 (define @t1 () (@var "W0" $$unsorted)) % 15.59/15.85 (define @t2 () (tptp.aSet0 @t1)) % 15.59/15.85 (define @t3 () (@list @t1)) % 15.59/15.85 (define @t4 () (tptp.aElement0 @t1)) % 15.59/15.85 (define @t5 () (@var "W1" $$unsorted)) % 15.59/15.85 (define @t6 () (tptp.aElement0 @t5)) % 15.59/15.85 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 15.59/15.85 (define @t8 () (@list @t5)) % 15.59/15.85 (define @t9 () (tptp.isFinite0 @t1)) % 15.59/15.85 (define @t10 () (= @t1 tptp.slcrc0)) % 15.59/15.85 (define @t11 () (tptp.isCountable0 @t1)) % 15.59/15.85 (define @t12 () (not @t9)) % 15.59/15.85 (define @t13 () (and @t2 @t11)) % 15.59/15.85 (define @t14 () (not @t10)) % 15.59/15.85 (define @t15 () (@var "W2" $$unsorted)) % 15.59/15.85 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 15.59/15.85 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 15.59/15.85 (define @t18 () (@list @t15)) % 15.59/15.85 (define @t19 () (tptp.aSet0 @t5)) % 15.59/15.85 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 15.59/15.85 (define @t21 () (tptp.isFinite0 @t5)) % 15.59/15.85 (define @t22 () (and @t2 @t9)) % 15.59/15.85 (define @t23 () (= @t1 @t5)) % 15.59/15.85 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 15.59/15.85 (define @t25 () (@list @t1 @t5)) % 15.59/15.85 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 15.59/15.85 (define @t27 () (tptp.aSet0 @t15)) % 15.59/15.85 (define @t28 () (@list @t1 @t5 @t15)) % 15.59/15.85 (define @t29 () (@var "W3" $$unsorted)) % 15.59/15.85 (define @t30 () (= @t29 @t5)) % 15.59/15.85 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 15.59/15.85 (define @t32 () (tptp.aElement0 @t29)) % 15.59/15.85 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 15.59/15.85 (define @t34 () (@list @t29)) % 15.59/15.85 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 15.59/15.85 (define @t36 () (and @t2 @t6)) % 15.59/15.85 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 15.59/15.85 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 15.59/15.85 (define @t39 () (tptp.isCountable0 @t5)) % 15.59/15.85 (define @t40 () (and @t19 @t39)) % 15.59/15.85 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 15.59/15.85 (define @t42 () (and @t19 @t21)) % 15.59/15.85 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 15.59/15.85 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 15.59/15.85 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 15.59/15.85 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 15.59/15.85 (define @t47 () (and @t44 @t46)) % 15.59/15.85 (define @t48 () (= @t1 tptp.sz00)) % 15.59/15.85 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 15.59/15.85 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 15.59/15.85 (define @t51 () (tptp.sdtlseqdt0 @t5 @t15)) % 15.59/15.85 (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 15.59/15.85 (define @t53 () (tptp.sbrdtbr0 @t1)) % 15.59/15.85 (define @t54 () (and @t2 @t46)) % 15.59/15.85 (define @t55 () (tptp.szmzizndt0 @t1)) % 15.59/15.85 (define @t56 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 15.59/15.85 (define @t57 () (tptp.szmzizndt0 @t5)) % 15.59/15.85 (define @t58 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 15.59/15.85 (define @t59 () (tptp.slbdtrb0 @t1)) % 15.59/15.85 (define @t60 () (tptp.slbdtrb0 @t5)) % 15.59/15.85 (define @t61 () (tptp.sbrdtbr0 @t29)) % 15.59/15.85 (define @t62 () (tptp.aSubsetOf0 @t29 @t1)) % 15.59/15.85 (define @t63 () (tptp.slbdtsldtrb0 @t1 @t5)) % 15.59/15.85 (define @t64 () (tptp.slbdtsldtrb0 @t5 @t1)) % 15.59/15.85 (define @t65 () (tptp.aFunction0 @t1)) % 15.59/15.85 (define @t66 () (tptp.szDzozmdt0 @t1)) % 15.59/15.85 (define @t67 () (tptp.sdtlpdtrp0 @t1 @t5)) % 15.59/15.85 (define @t68 () (tptp.aElementOf0 @t5 @t66)) % 15.59/15.85 (define @t69 () (tptp.sdtlpdtrp0 @t1 @t29)) % 15.59/15.85 (define @t70 () (tptp.aElementOf0 @t29 @t66)) % 15.59/15.85 (define @t71 () (tptp.sdtlbdtrb0 @t1 @t5)) % 15.59/15.85 (define @t72 () (and @t65 @t6)) % 15.59/15.85 (define @t73 () (@var "W4" $$unsorted)) % 15.59/15.85 (define @t74 () (tptp.aElementOf0 @t73 @t5)) % 15.59/15.85 (define @t75 () (@list @t73)) % 15.59/15.85 (define @t76 () (tptp.sdtlcdtrc0 @t1 @t5)) % 15.59/15.85 (define @t77 () (tptp.aSubsetOf0 @t5 @t66)) % 15.59/15.85 (define @t78 () (tptp.sdtlcdtrc0 @t1 @t66)) % 15.59/15.85 (define @t79 () (tptp.szDzozmdt0 @t15)) % 15.59/15.85 (define @t80 () (tptp.aFunction0 @t15)) % 15.59/15.85 (define @t81 () (tptp.szDzizrdt0 @t1)) % 15.59/15.85 (define @t82 () (tptp.szDzozmdt0 tptp.xc)) % 15.59/15.85 (define @t83 () (tptp.sdtlcdtrc0 tptp.xc @t82)) % 15.59/15.85 (define @t84 () (tptp.aElementOf0 @t1 @t83)) % 15.59/15.85 (define @t85 () (tptp.aElementOf0 @t1 @t82)) % 15.59/15.85 (define @t86 () (= @t53 tptp.xK)) % 15.59/15.85 (define @t87 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 15.59/15.85 (define @t88 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 15.59/15.85 (define @t89 () (@var "W5" $$unsorted)) % 15.59/15.85 (define @t90 () (@var "W6" $$unsorted)) % 15.59/15.85 (define @t91 () (@list @t89)) % 15.59/15.85 (define @t92 () (tptp.aElementOf0 @t29 tptp.xT)) % 15.59/15.85 (define @t93 () (tptp.sdtlcdtrc0 @t15 @t79)) % 15.59/15.85 (define @t94 () (tptp.aElementOf0 @t29 @t93)) % 15.59/15.85 (define @t95 () (tptp.aElementOf0 @t29 @t79)) % 15.59/15.85 (define @t96 () (= @t61 @t1)) % 15.59/15.85 (define @t97 () (tptp.aSubsetOf0 @t29 @t5)) % 15.59/15.85 (define @t98 () (forall @t75 (=> (tptp.aElementOf0 @t73 @t29) @t74))) % 15.59/15.85 (define @t99 () (tptp.aSet0 @t29)) % 15.59/15.85 (define @t100 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 15.59/15.85 (define @t101 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 15.59/15.85 (define @t102 () (tptp.szmzizndt0 @t101)) % 15.59/15.85 (define @t103 () (tptp.sdtmndt0 @t101 @t102)) % 15.59/15.85 (define @t104 () (tptp.aElementOf0 @t5 @t103)) % 15.59/15.85 (define @t105 () (tptp.aElementOf0 @t5 @t101)) % 15.59/15.85 (define @t106 () (tptp.aSet0 @t103)) % 15.59/15.85 (define @t107 () (tptp.aElementOf0 @t102 @t101)) % 15.59/15.85 (define @t108 () (tptp.isCountable0 @t101)) % 15.59/15.85 (define @t109 () (tptp.aSubsetOf0 @t101 tptp.szNzAzT0)) % 15.59/15.85 (define @t110 () (forall @t8 (=> @t105 @t46))) % 15.59/15.85 (define @t111 () (tptp.aSet0 @t101)) % 15.59/15.85 (define @t112 () (tptp.szDzozmdt0 tptp.xN)) % 15.59/15.85 (define @t113 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 15.59/15.85 (define @t114 () (tptp.aElementOf0 @t15 @t113)) % 15.59/15.85 (define @t115 () (tptp.aElementOf0 @t15 @t101)) % 15.59/15.85 (define @t116 () (tptp.aElementOf0 tptp.xj tptp.szNzAzT0)) % 15.59/15.85 (define @t117 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 15.59/15.85 (define @t118 () (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 tptp.xi) tptp.xj)) % 15.59/15.85 (define @t119 () (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 tptp.xj) tptp.xi)) % 15.59/15.85 (define @t120 () (or @t119 @t118)) % 15.59/15.85 (define @t121 () (= tptp.xi tptp.xj)) % 15.59/15.85 (define @t122 () (not @t121)) % 15.59/15.85 (define @t123 () (tptp.sdtlpdtrp0 tptp.xN tptp.xj)) % 15.59/15.85 (define @t124 () (tptp.szmzizndt0 @t123)) % 15.59/15.85 (define @t125 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 15.59/15.85 (define @t126 () (tptp.szmzizndt0 @t125)) % 15.59/15.85 (define @t127 () (= @t126 @t124)) % 15.59/15.85 (define @t128 () (tptp.sdtlseqdt0 @t126 @t1)) % 15.59/15.85 (define @t129 () (tptp.aElementOf0 @t1 @t123)) % 15.59/15.85 (define @t130 () (forall @t3 (=> @t129 @t128))) % 15.59/15.85 (define @t131 () (tptp.aElementOf0 @t126 @t123)) % 15.59/15.85 (define @t132 () (tptp.aElementOf0 @t1 @t125)) % 15.59/15.85 (define @t133 () (forall @t3 (=> @t132 @t128))) % 15.59/15.85 (define @t134 () (tptp.aElementOf0 @t126 @t125)) % 15.59/15.85 (define @t135 () (and @t134 @t133 @t131 @t130 @t127)) % 15.59/15.85 (define @t136 () (not @t135)) % 15.59/15.85 (define @t137 () (=> @t122 @t136)) % 15.59/15.85 (define @t138 () (tptp.szmzizndt0 @t113)) % 15.59/15.85 (define @t139 () (tptp.sdtlseqdt0 @t138 @t15)) % 15.59/15.85 (define @t140 () (forall @t18 (=> @t115 @t139))) % 15.59/15.85 (define @t141 () (tptp.aElementOf0 @t138 @t101)) % 15.59/15.85 (define @t142 () (and @t141 @t140)) % 15.59/15.85 (define @t143 () (or @t142 (= @t138 @t102))) % 15.59/15.85 (define @t144 () (forall @t18 (=> @t114 @t139))) % 15.59/15.85 (define @t145 () (tptp.aElementOf0 @t138 @t113)) % 15.59/15.85 (define @t146 () (and @t145 @t144)) % 15.59/15.85 (define @t147 () (=> @t146 @t143)) % 15.59/15.85 (define @t148 () (not @t147)) % 15.59/15.85 (define @t149 () (tptp.aSubsetOf0 @t113 @t103)) % 15.59/15.85 (define @t150 () (tptp.aElementOf0 @t15 @t103)) % 15.59/15.85 (define @t151 () (forall @t18 (=> @t114 @t150))) % 15.59/15.85 (define @t152 () (forall @t18 (= @t150 (and (tptp.aElement0 @t15) @t115 (not (= @t15 @t102)))))) % 15.59/15.85 (define @t153 () (tptp.sdtlseqdt0 @t102 @t15)) % 15.59/15.85 (define @t154 () (forall @t18 (=> @t115 @t153))) % 15.59/15.85 (define @t155 () (and @t107 @t154 @t106 @t152 @t151 @t149 @t148)) % 15.59/15.85 (define @t156 () (tptp.sdtlseqdt0 @t43 @t5)) % 15.59/15.85 (define @t157 () (=> @t156 @t155)) % 15.59/15.85 (define @t158 () (=> @t47 @t157)) % 15.59/15.85 (define @t159 () (forall @t25 @t158)) % 15.59/15.85 (define @t160 () (=> @t159 @t137)) % 15.59/15.85 (define @t161 () (not @t160)) % 15.59/15.85 (define @t162 () (=> @t122 (not (and @t134 (forall @t3 (or (not @t132) @t128)) @t131 (forall @t3 (or (not @t129) @t128)) @t127)))) % 15.59/15.85 (define @t163 () (= @t102 @t138)) % 15.59/15.85 (define @t164 () (not @t163)) % 15.59/15.85 (define @t165 () (not @t115)) % 15.59/15.85 (define @t166 () (forall @t18 (or @t165 @t139))) % 15.59/15.85 (define @t167 () (or (not @t141) (not @t166))) % 15.59/15.85 (define @t168 () (@var "BOUND_VARIABLE_9943" $$unsorted)) % 15.59/15.85 (define @t169 () (or (not (tptp.aElementOf0 @t168 @t113)) (tptp.sdtlseqdt0 @t138 @t168))) % 15.59/15.85 (define @t170 () (@var "BOUND_VARIABLE_9937" $$unsorted)) % 15.59/15.85 (define @t171 () (or (not (tptp.aElementOf0 @t170 @t113)) (tptp.aElementOf0 @t170 @t103))) % 15.59/15.85 (define @t172 () (@var "BOUND_VARIABLE_9928" $$unsorted)) % 15.59/15.85 (define @t173 () (tptp.aElementOf0 @t172 @t101)) % 15.59/15.85 (define @t174 () (tptp.aElement0 @t172)) % 15.59/15.85 (define @t175 () (tptp.aElementOf0 @t172 @t103)) % 15.59/15.85 (define @t176 () (@var "BOUND_VARIABLE_9922" $$unsorted)) % 15.59/15.85 (define @t177 () (or (not (tptp.aElementOf0 @t176 @t101)) (tptp.sdtlseqdt0 @t102 @t176))) % 15.59/15.85 (define @t178 () (and @t107 @t177 @t106 (= @t175 (and @t174 @t173 (not (= @t102 @t172)))) @t171 @t149 @t145 @t169 @t167 @t164)) % 15.59/15.85 (define @t179 () (not @t156)) % 15.59/15.85 (define @t180 () (not @t46)) % 15.59/15.85 (define @t181 () (not @t44)) % 15.59/15.85 (define @t182 () (or @t181 @t180 @t179 @t178)) % 15.59/15.85 (define @t183 () (@list @t1 @t5 @t176 @t172 @t170 @t168)) % 15.59/15.85 (define @t184 () (forall @t183 @t182)) % 15.59/15.85 (define @t185 () (=> @t184 @t162)) % 15.59/15.85 (define @t186 () (not (= @t172 @t102))) % 15.59/15.85 (define @t187 () (and @t174 @t173 @t186)) % 15.59/15.85 (define @t188 () (= @t175 @t187)) % 15.59/15.85 (define @t189 () (and @t107 @t177 @t106 @t188 @t171 @t149 @t145 @t169 @t167 @t164)) % 15.59/15.85 (define @t190 () (or @t181 @t180 @t179 @t189)) % 15.59/15.85 (define @t191 () (forall @t183 @t190)) % 15.59/15.85 (define @t192 () (@list @t176 @t172 @t170 @t168)) % 15.59/15.85 (define @t193 () (forall @t192 @t190)) % 15.59/15.85 (define @t194 () (forall @t192 @t164)) % 15.59/15.85 (define @t195 () (forall @t192 @t167)) % 15.59/15.85 (define @t196 () (forall (@list @t168) @t169)) % 15.59/15.85 (define @t197 () (@list @t15)) % 15.59/15.85 (define @t198 () (forall @t192 @t169)) % 15.59/15.85 (define @t199 () (forall @t192 @t145)) % 15.59/15.85 (define @t200 () (forall @t192 @t149)) % 15.59/15.85 (define @t201 () (forall (@list @t170) @t171)) % 15.59/15.85 (define @t202 () (forall @t192 @t171)) % 15.59/15.85 (define @t203 () (forall (@list @t172) @t188)) % 15.59/15.85 (define @t204 () (forall @t192 @t188)) % 15.59/15.85 (define @t205 () (forall @t192 @t106)) % 15.59/15.85 (define @t206 () (forall (@list @t176) @t177)) % 15.59/15.85 (define @t207 () (forall @t192 @t177)) % 15.59/15.85 (define @t208 () (forall @t192 @t107)) % 15.59/15.85 (define @t209 () (and @t208 @t207 @t205 @t204 @t202 @t200 @t199 @t198 @t195 @t194)) % 15.59/15.85 (define @t210 () (forall @t192 @t189)) % 15.59/15.85 (define @t211 () (or @t181 @t180 @t179 @t210)) % 15.59/15.85 (define @t212 () (not @t114)) % 15.59/15.85 (define @t213 () (forall @t18 (or @t212 @t139))) % 15.59/15.85 (define @t214 () (forall @t18 (or @t212 @t150))) % 15.59/15.85 (define @t215 () (forall @t18 (or @t165 @t153))) % 15.59/15.85 (define @t216 () (and @t107 @t215 @t106 @t152 @t214 @t149 @t145 @t213 @t167 @t164)) % 15.59/15.85 (define @t217 () (or @t181 @t180 @t179 @t216)) % 15.59/15.85 (define @t218 () (and @t145 @t213 @t167 @t164)) % 15.59/15.85 (define @t219 () (and @t145 @t213)) % 15.59/15.85 (define @t220 () (and @t141 @t166)) % 15.59/15.85 (define @t221 () (or @t220 @t163)) % 15.59/15.85 (define @t222 () (and @t107 @t215 @t106 @t152 @t214 @t149 (not (=> @t219 @t221)))) % 15.59/15.85 (define @t223 () (=> @t156 @t222)) % 15.59/15.85 (define @t224 () (not (= @t124 @t126))) % 15.59/15.85 (define @t225 () (or (not @t131) (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t123)) (tptp.sdtlseqdt0 @t126 @t15)))))) % 15.59/15.85 (define @t226 () (tptp.aElementOf0 tptp.sz00 @t125)) % 15.59/15.85 (define @t227 () (not @t226)) % 15.59/15.85 (define @t228 () (or @t227 (tptp.sdtlseqdt0 @t126 tptp.sz00))) % 15.59/15.85 (define @t229 () (tptp.sdtmndt0 @t123 @t124)) % 15.59/15.85 (define @t230 () (tptp.aSubsetOf0 @t125 @t229)) % 15.59/15.85 (define @t231 () (tptp.aElementOf0 tptp.sz00 @t229)) % 15.59/15.85 (define @t232 () (or @t227 @t231)) % 15.59/15.85 (define @t233 () (not (= @t124 tptp.sz00))) % 15.59/15.85 (define @t234 () (tptp.aElementOf0 tptp.sz00 @t123)) % 15.59/15.85 (define @t235 () (tptp.aElement0 tptp.sz00)) % 15.59/15.85 (define @t236 () (and @t235 @t234 @t233)) % 15.59/15.85 (define @t237 () (= @t231 @t236)) % 15.59/15.85 (define @t238 () (tptp.aSet0 @t229)) % 15.59/15.85 (define @t239 () (not @t234)) % 15.59/15.85 (define @t240 () (or @t239 (tptp.sdtlseqdt0 @t124 tptp.sz00))) % 15.59/15.85 (define @t241 () (tptp.aElementOf0 @t124 @t123)) % 15.59/15.85 (define @t242 () (and @t241 @t240 @t238 @t237 @t232 @t230 @t134 @t228 @t225 @t224)) % 15.59/15.85 (define @t243 () (not @t119)) % 15.59/15.85 (define @t244 () (tptp.aElementOf0 tptp.xi @t112)) % 15.59/15.85 (define @t245 () (not @t244)) % 15.59/15.85 (define @t246 () (tptp.aElementOf0 tptp.xj @t112)) % 15.59/15.85 (define @t247 () (not @t246)) % 15.59/15.85 (define @t248 () (or @t247 @t245 @t243 @t242)) % 15.59/15.85 (define @t249 () (forall @t183 (or (not (tptp.aElementOf0 @t1 @t112)) (not (tptp.aElementOf0 @t5 @t112)) @t179 @t178))) % 15.59/15.85 (define @t250 () (not @t127)) % 15.59/15.85 (define @t251 () (and @t241 @t240 @t238 (= @t231 (and @t235 @t234 (not (= tptp.sz00 @t124)))) @t232 @t230 @t134 @t228 @t225 @t250)) % 15.59/15.85 (define @t252 () (or @t247 @t245 @t243 @t251)) % 15.59/15.85 (define @t253 () (@list false)) % 15.59/15.85 (define @t254 () (@list @t249)) % 15.59/15.85 (define @t255 () (not @t251)) % 15.59/15.85 (define @t256 () (@list @t127)) % 15.59/15.85 (define @t257 () (or (not (tptp.aElementOf0 @t124 @t125)) (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t125)) (tptp.sdtlseqdt0 @t124 @t15)))))) % 15.59/15.85 (define @t258 () (tptp.sdtmndt0 @t125 @t126)) % 15.59/15.85 (define @t259 () (tptp.aSubsetOf0 @t123 @t258)) % 15.59/15.85 (define @t260 () (tptp.aElementOf0 tptp.sz00 @t258)) % 15.59/15.85 (define @t261 () (or @t239 @t260)) % 15.59/15.85 (define @t262 () (tptp.aSet0 @t258)) % 15.59/15.85 (define @t263 () (and @t134 @t228 @t262 (= @t260 (and @t235 @t226 (not (= tptp.sz00 @t126)))) @t261 @t259 @t241 @t240 @t257 @t250)) % 15.59/15.85 (define @t264 () (not @t263)) % 15.59/15.85 (define @t265 () (not (= @t126 tptp.sz00))) % 15.59/15.85 (define @t266 () (and @t235 @t226 @t265)) % 15.59/15.85 (define @t267 () (= @t260 @t266)) % 15.59/15.85 (define @t268 () (and @t134 @t228 @t262 @t267 @t261 @t259 @t241 @t240 @t257 @t250)) % 15.59/15.85 (define @t269 () (not @t118)) % 15.59/15.85 (define @t270 () (or @t245 @t247 @t269 @t268)) % 15.59/15.85 (define @t271 () (or @t245 @t247 @t269 @t263)) % 15.59/15.85 (assume @p1 (forall @t3 (=> @t2 true))) % 15.59/15.85 (assume @p2 (forall @t3 (=> @t4 true))) % 15.59/15.85 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 15.59/15.85 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 15.59/15.85 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 15.59/15.85 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 15.59/15.85 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 15.59/15.85 (assume @p8 (forall @t3 (=> @t13 @t12))) % 15.59/15.85 (assume @p9 (forall @t3 (=> @t13 @t14))) % 15.59/15.85 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 15.59/15.85 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 15.59/15.85 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 15.59/15.85 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 15.59/15.85 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 15.59/15.85 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 15.59/15.85 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 15.59/15.85 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 15.59/15.85 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 15.59/15.85 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 15.59/15.85 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 15.59/15.85 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 15.59/15.85 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 15.59/15.85 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 15.59/15.85 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 15.59/15.85 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 15.59/15.85 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 15.59/15.85 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 15.59/15.85 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 15.59/15.85 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 15.59/15.85 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 15.59/15.85 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 15.59/15.85 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 15.59/15.85 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 15.59/15.85 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 15.59/15.85 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23)))) % 15.59/15.85 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15))))) % 15.59/15.85 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 15.59/15.85 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 15.59/15.85 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 15.59/15.85 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53)))) % 15.59/15.85 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9)))) % 15.59/15.85 (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10)))) % 15.59/15.85 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53)))))))) % 15.59/15.85 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53)))))) % 15.59/15.85 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t53)))))) % 15.59/15.85 (assume @p46 (forall @t25 (=> @t54 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 15.59/15.85 (assume @p47 (forall @t3 (=> (and @t56 @t14) (forall @t8 (= (= @t5 @t55) (and @t7 (forall @t18 (=> @t16 @t51)))))))) % 15.59/15.85 (assume @p48 (forall @t3 (=> (and @t56 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 15.59/15.85 (assume @p49 (forall @t25 (=> (and @t56 @t58 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t55 @t5) (tptp.aElementOf0 @t57 @t1)) (= @t55 @t57))))) % 15.59/15.85 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t59) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 15.59/15.85 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t59)))) % 15.59/15.85 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 15.59/15.85 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t60) @t23))))) % 15.59/15.85 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t59 @t60))))) % 15.59/15.85 (assume @p55 (forall @t3 (=> (and @t56 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t60)))))) % 15.59/15.85 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t59) @t1)))) % 15.59/15.85 (assume @p57 (forall @t25 (=> @t54 (forall @t18 (= (= @t15 @t63) (and @t27 (forall @t34 (= @t33 (and @t62 (= @t61 @t5)))))))))) % 15.59/15.85 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t63)))))) % 15.59/15.85 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t63 tptp.slcrc0))))))) % 15.59/15.85 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t63)))))) % 15.59/15.85 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t64 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t64 tptp.slcrc0))) @t26)))))) % 15.59/15.85 (assume @p62 (forall @t25 (=> @t54 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t63) (tptp.isFinite0 @t15)) (exists @t34 (and @t62 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 15.59/15.85 (assume @p63 (forall @t3 (=> @t65 true))) % 15.59/15.85 (assume @p64 (forall @t3 (=> @t65 (tptp.aSet0 @t66)))) % 15.59/15.85 (assume @p65 (forall @t3 (=> @t65 (forall @t8 (=> @t68 (tptp.aElement0 @t67)))))) % 15.59/15.85 (assume @p66 (forall @t25 (=> @t72 (forall @t18 (= (= @t15 @t71) (and @t27 (forall @t34 (= @t33 (and @t70 (= @t69 @t5)))))))))) % 15.59/15.85 (assume @p67 (forall @t25 (=> @t72 (tptp.aSubsetOf0 @t71 @t66)))) % 15.59/15.85 (assume @p68 (forall @t3 (=> @t65 (forall @t8 (=> @t77 (forall @t18 (= (= @t15 @t76) (and @t27 (forall @t34 (= @t33 (exists @t75 (and @t74 (= (tptp.sdtlpdtrp0 @t1 @t73) @t29))))))))))))) % 15.59/15.85 (assume @p69 (forall @t3 (=> @t65 (forall @t8 (=> @t68 (tptp.aElementOf0 @t67 @t78)))))) % 15.59/15.85 (assume @p70 (forall @t3 (=> @t65 (forall @t8 (=> @t77 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t80 (= @t79 @t5) (forall @t34 (=> (tptp.aElementOf0 @t29 @t5) (= (tptp.sdtlpdtrp0 @t15 @t29) @t69))))))))))) % 15.59/15.85 (assume @p71 (forall @t3 (=> @t65 (forall @t8 (=> (and @t77 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t66) @t70 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t69)))) (tptp.isCountable0 @t76))))))) % 15.59/15.85 (assume @p72 (forall @t3 (=> @t65 (=> (and (tptp.isCountable0 @t66) (tptp.isFinite0 @t78)) (and (tptp.aElement0 @t81) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t81))))))) % 15.59/15.85 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 15.59/15.85 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 15.59/15.85 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xS) @t44)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 15.59/15.85 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t85 (and @t2 @t88 @t87 @t86)) (=> (and (or (and @t2 @t88) @t87) @t86) @t85))) (= @t82 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSet0 @t83) (forall @t3 (= @t84 (exists @t8 (and (tptp.aElementOf0 @t5 @t82) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t84 (tptp.aElementOf0 @t1 tptp.xT))) (tptp.aSubsetOf0 @t83 tptp.xT))) % 15.59/15.85 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t52))) @t58) @t39) (forall @t18 (=> (and @t80 (or (forall @t34 (and (=> @t95 (and (or (and @t99 @t98) @t97) @t96)) (=> (and @t99 @t98 @t97 @t96) @t95))) (= @t79 @t64)) (=> (and (tptp.aSet0 @t93) (forall @t34 (= @t94 (exists @t75 (and (tptp.aElementOf0 @t73 @t79) (= (tptp.sdtlpdtrp0 @t15 @t73) @t29)))))) (or (forall @t34 (=> @t94 @t92)) (tptp.aSubsetOf0 @t93 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t92 (exists @t75 (and (tptp.aSet0 @t73) (forall @t91 (=> (tptp.aElementOf0 @t89 @t73) (tptp.aElementOf0 @t89 @t5))) (tptp.aSubsetOf0 @t73 @t5) (tptp.isCountable0 @t73) (forall @t91 (=> (or (and (or (and (tptp.aSet0 @t89) (forall (@list @t90) (=> (tptp.aElementOf0 @t90 @t89) (tptp.aElementOf0 @t90 @t73)))) (tptp.aSubsetOf0 @t89 @t73)) (= (tptp.sbrdtbr0 @t89) @t1)) (tptp.aElementOf0 @t89 (tptp.slbdtsldtrb0 @t73 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t89) @t29))))))))))))))) % 15.59/15.85 (assume @p78 (not (= tptp.xK tptp.sz00))) % 15.59/15.85 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 15.59/15.85 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t112 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t44 (=> (and (or (and @t111 @t110) @t109) @t108) (and @t107 (forall @t8 (=> @t105 (tptp.sdtlseqdt0 @t102 @t5))) @t106 (forall @t8 (= @t104 (and @t6 @t105 (not (= @t5 @t102))))) (tptp.aSet0 @t100) (forall @t8 (=> (tptp.aElementOf0 @t5 @t100) @t104)) (tptp.aSubsetOf0 @t100 @t103) (tptp.isCountable0 @t100))))))) % 15.59/15.85 (assume @p81 (forall @t3 (=> @t44 (and @t111 @t110 @t109 @t108)))) % 15.59/15.85 (assume @p82 (forall @t25 (=> @t47 (=> @t50 (and (forall @t18 (=> @t115 @t114)) (tptp.aSubsetOf0 @t101 @t113)))))) % 15.59/15.85 (assume @p83 (and @t117 @t116)) % 15.59/15.85 (assume @p84 (=> @t122 @t120)) % 15.59/15.85 (assume @p85 @t161) % 15.59/15.85 (assume @p86 true) % 15.59/15.85 (step @p87 :rule and_elim :premises (@p80) :args (1)) % 15.59/15.85 (step @p88 :rule symm :premises (@p87)) % 15.59/15.85 (step @p89 :rule refl :args (tptp.xi)) % 15.59/15.85 (step @p90 :rule cong :premises (@p89 @p88) :args (@t117)) % 15.59/15.85 (step @p91 :rule and_elim :premises (@p83) :args (0)) % 15.59/15.85 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 15.59/15.85 (step @p93 :rule refl :args (tptp.xj)) % 15.59/15.85 (step @p94 :rule cong :premises (@p93 @p88) :args (@t116)) % 15.59/15.85 (step @p95 :rule and_elim :premises (@p83) :args (1)) % 15.59/15.85 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 15.59/15.85 (step @p97 :rule refl :args (@t162)) % 15.59/15.85 (step @p98 :rule refl :args (@t178)) % 15.59/15.85 (step @p99 :rule refl :args (@t179)) % 15.59/15.85 (step @p100 :rule refl :args (@t5)) % 15.59/15.85 (step @p101 :rule cong :premises (@p100 @p88) :args (@t46)) % 15.59/15.85 (step @p102 :rule cong :premises (@p101) :args (@t180)) % 15.59/15.85 (step @p103 :rule refl :args (@t1)) % 15.59/15.85 (step @p104 :rule cong :premises (@p103 @p88) :args (@t44)) % 15.59/15.85 (step @p105 :rule cong :premises (@p104) :args (@t181)) % 15.59/15.85 (step @p106 :rule nary_cong :premises (@p105 @p102 @p99 @p98) :args (@t182)) % 15.59/15.85 (step @p107 :rule cong :premises (@p106) :args (@t184)) % 15.59/15.85 (step @p108 :rule cong :premises (@p107 @p97) :args (@t185)) % 15.59/15.85 (step @p109 :rule cong :premises (@p108) :args ((not @t185))) % 15.59/15.85 (step @p110 :rule refl :args (@t127)) % 15.59/15.85 (step @p111 :rule bool-impl-elim :args (@t129 @t128)) % 15.59/15.85 (step @p112 :rule cong :premises (@p111) :args (@t130)) % 15.59/15.85 (step @p113 :rule refl :args (@t131)) % 15.59/15.85 (step @p114 :rule bool-impl-elim :args (@t132 @t128)) % 15.59/15.85 (step @p115 :rule cong :premises (@p114) :args (@t133)) % 15.59/15.85 (step @p116 :rule refl :args (@t134)) % 15.59/15.85 (step @p117 :rule nary_cong :premises (@p116 @p115 @p113 @p112 @p110) :args (@t135)) % 15.59/15.85 (step @p118 :rule cong :premises (@p117) :args (@t136)) % 15.59/15.85 (step @p119 :rule refl :args (@t122)) % 15.59/15.85 (step @p120 :rule cong :premises (@p119 @p118) :args (@t137)) % 15.59/15.85 (step @p121 :rule refl :args (@t164)) % 15.59/15.85 (step @p122 :rule refl :args (@t167)) % 15.59/15.85 (step @p123 :rule refl :args (@t169)) % 15.59/15.85 (step @p124 :rule refl :args (@t145)) % 15.59/15.85 (step @p125 :rule refl :args (@t149)) % 15.59/15.85 (step @p126 :rule refl :args (@t171)) % 15.59/15.85 (step @p127 :rule eq-symm :args (@t172 @t102)) % 15.59/15.85 (step @p128 :rule cong :premises (@p127) :args (@t186)) % 15.59/15.85 (step @p129 :rule refl :args (@t173)) % 15.59/15.85 (step @p130 :rule refl :args (@t174)) % 15.59/15.85 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128) :args (@t187)) % 15.59/15.85 (step @p132 :rule refl :args (@t175)) % 15.59/15.85 (step @p133 :rule cong :premises (@p132 @p131) :args (@t188)) % 15.59/15.85 (step @p134 :rule refl :args (@t106)) % 15.59/15.85 (step @p135 :rule refl :args (@t177)) % 15.59/15.85 (step @p136 :rule refl :args (@t107)) % 15.59/15.85 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134 @p133 @p126 @p125 @p124 @p123 @p122 @p121) :args (@t189)) % 15.59/15.85 (step @p138 :rule refl :args (@t180)) % 15.59/15.85 (step @p139 :rule refl :args (@t181)) % 15.59/15.85 (step @p140 :rule nary_cong :premises (@p139 @p138 @p99 @p137) :args (@t190)) % 15.59/15.85 (step @p141 :rule cong :premises (@p140) :args (@t191)) % 15.59/15.85 (step @p142 :rule quant-merge-prenex :args ((= (forall @t25 @t193) @t191))) % 15.59/15.85 (step @p143 :rule quant-unused-vars :args ((= @t194 @t164))) % 15.59/15.85 (step @p144 :rule quant-unused-vars :args ((= @t195 @t167))) % 15.59/15.85 (step @p145 :rule alpha_equiv :args (@t196 (@list @t168) @t197)) % 15.59/15.85 (step @p146 :rule quant-unused-vars :args ((= @t198 @t196))) % 15.59/15.85 (step @p147 :rule trans :premises (@p146 @p145)) % 15.59/15.85 (step @p148 :rule quant-unused-vars :args ((= @t199 @t145))) % 15.59/15.85 (step @p149 :rule quant-unused-vars :args ((= @t200 @t149))) % 15.59/15.85 (step @p150 :rule alpha_equiv :args (@t201 (@list @t170) @t197)) % 15.59/15.85 (step @p151 :rule quant-unused-vars :args ((= @t202 @t201))) % 15.59/15.85 (step @p152 :rule trans :premises (@p151 @p150)) % 15.59/15.85 (step @p153 :rule alpha_equiv :args (@t203 (@list @t172) @t197)) % 15.59/15.85 (step @p154 :rule quant-unused-vars :args ((= @t204 @t203))) % 15.59/15.85 (step @p155 :rule trans :premises (@p154 @p153)) % 15.59/15.85 (step @p156 :rule quant-unused-vars :args ((= @t205 @t106))) % 15.59/15.85 (step @p157 :rule alpha_equiv :args (@t206 (@list @t176) @t197)) % 15.59/15.85 (step @p158 :rule quant-unused-vars :args ((= @t207 @t206))) % 15.59/15.85 (step @p159 :rule trans :premises (@p158 @p157)) % 15.59/15.85 (step @p160 :rule quant-unused-vars :args ((= @t208 @t107))) % 15.59/15.85 (step @p161 :rule nary_cong :premises (@p160 @p159 @p156 @p155 @p152 @p149 @p148 @p147 @p144 @p143) :args (@t209)) % 15.59/15.85 (step @p162 :rule quant-miniscope-and :args ((= @t210 @t209))) % 15.59/15.85 (step @p163 :rule trans :premises (@p162 @p161)) % 15.59/15.85 (step @p164 :rule refl :args (@t179)) % 15.59/15.85 (step @p165 :rule refl :args (@t180)) % 15.59/15.85 (step @p166 :rule refl :args (@t181)) % 15.59/15.85 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164 @p163) :args (@t211)) % 15.59/15.85 (step @p168 :rule quant-miniscope-or :args ((= @t193 @t211))) % 15.59/15.85 (step @p169 :rule trans :premises (@p168 @p167)) % 15.59/15.85 (step @p170 :rule symm :premises (@p169)) % 15.59/15.85 (step @p171 :rule cong :premises (@p170) :args ((forall @t25 @t217))) % 15.59/15.85 (step @p172 :rule trans :premises (@p171 @p142)) % 15.59/15.85 (step @p173 :rule trans :premises (@p172 @p141)) % 15.59/15.85 (step @p174 :rule aci_norm :args ((= (or (or @t181 @t180) (or @t179 @t216)) @t217))) % 15.59/15.85 (step @p175 :rule aci_norm :args ((= (and @t107 @t215 @t106 @t152 @t214 @t149 @t218) @t216))) % 15.59/15.85 (step @p176 :rule aci_norm :args ((= (and @t219 (and @t167 @t164)) @t218))) % 15.59/15.85 (step @p177 :rule refl :args (@t164)) % 15.59/15.85 (step @p178 :rule bool-and-de-morgan :args (@t141 @t166 true)) % 15.59/15.85 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((and (not @t220) @t164))) % 15.59/15.85 (step @p180 :rule bool-or-de-morgan :args (@t220 @t163 false)) % 15.59/15.85 (step @p181 :rule trans :premises (@p180 @p179)) % 15.59/15.85 (step @p182 :rule refl :args (@t219)) % 15.59/15.85 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((and @t219 (not @t221)))) % 15.59/15.85 (step @p184 :rule trans :premises (@p183 @p176)) % 15.59/15.85 (step @p185 :rule bool-implies-de-morgan :args (@t219 @t221)) % 15.59/15.85 (step @p186 :rule trans :premises (@p185 @p184)) % 15.59/15.85 (step @p187 :rule refl :args (@t149)) % 15.59/15.85 (step @p188 :rule refl :args (@t214)) % 15.59/15.85 (step @p189 :rule refl :args (@t152)) % 15.59/15.85 (step @p190 :rule refl :args (@t106)) % 15.59/15.85 (step @p191 :rule refl :args (@t215)) % 15.59/15.85 (step @p192 :rule refl :args (@t107)) % 15.59/15.85 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190 @p189 @p188 @p187 @p186) :args (@t222)) % 15.59/15.85 (step @p194 :rule trans :premises (@p193 @p175)) % 15.59/15.85 (step @p195 :rule nary_cong :premises (@p164 @p194) :args ((or @t179 @t222))) % 15.59/15.85 (step @p196 :rule bool-impl-elim :args (@t156 @t222)) % 15.59/15.85 (step @p197 :rule trans :premises (@p196 @p195)) % 15.59/15.85 (step @p198 :rule bool-and-de-morgan :args (@t44 @t46 true)) % 15.59/15.85 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or (not @t47) @t223))) % 15.59/15.85 (step @p200 :rule trans :premises (@p199 @p174)) % 15.59/15.85 (step @p201 :rule bool-impl-elim :args (@t47 @t223)) % 15.59/15.85 (step @p202 :rule trans :premises (@p201 @p200)) % 15.59/15.85 (step @p203 :rule cong :premises (@p202) :args ((forall @t25 (=> @t47 @t223)))) % 15.59/15.85 (step @p204 :rule trans :premises (@p203 @p173)) % 15.59/15.85 (step @p205 :rule eq-symm :args (@t138 @t102)) % 15.59/15.85 (step @p206 :rule bool-impl-elim :args (@t115 @t139)) % 15.59/15.85 (step @p207 :rule cong :premises (@p206) :args (@t140)) % 15.59/15.85 (step @p208 :rule refl :args (@t141)) % 15.59/15.85 (step @p209 :rule nary_cong :premises (@p208 @p207) :args (@t142)) % 15.59/15.85 (step @p210 :rule nary_cong :premises (@p209 @p205) :args (@t143)) % 15.59/15.85 (step @p211 :rule bool-impl-elim :args (@t114 @t139)) % 15.59/15.85 (step @p212 :rule cong :premises (@p211) :args (@t144)) % 15.59/15.85 (step @p213 :rule nary_cong :premises (@p124 @p212) :args (@t146)) % 15.59/15.85 (step @p214 :rule cong :premises (@p213 @p210) :args (@t147)) % 15.59/15.85 (step @p215 :rule cong :premises (@p214) :args (@t148)) % 15.59/15.85 (step @p216 :rule bool-impl-elim :args (@t114 @t150)) % 15.59/15.85 (step @p217 :rule cong :premises (@p216) :args (@t151)) % 15.59/15.85 (step @p218 :rule refl :args (@t152)) % 15.59/15.85 (step @p219 :rule bool-impl-elim :args (@t115 @t153)) % 15.59/15.85 (step @p220 :rule cong :premises (@p219) :args (@t154)) % 15.59/15.85 (step @p221 :rule nary_cong :premises (@p136 @p220 @p134 @p218 @p217 @p125 @p215) :args (@t155)) % 15.59/15.85 (step @p222 :rule refl :args (@t156)) % 15.59/15.85 (step @p223 :rule cong :premises (@p222 @p221) :args (@t157)) % 15.59/15.85 (step @p224 :rule refl :args (@t47)) % 15.59/15.85 (step @p225 :rule cong :premises (@p224 @p223) :args (@t158)) % 15.59/15.85 (step @p226 :rule cong :premises (@p225) :args (@t159)) % 15.59/15.85 (step @p227 :rule trans :premises (@p226 @p204)) % 15.59/15.85 (step @p228 :rule cong :premises (@p227 @p120) :args (@t160)) % 15.59/15.85 (step @p229 :rule cong :premises (@p228) :args (@t161)) % 15.59/15.85 (step @p230 :rule trans :premises (@p229 @p109)) % 15.59/15.85 (step @p231 :rule eq_resolve :premises (@p85 @p230)) % 15.59/15.85 (step @p232 :rule not_implies_elim2 :premises (@p231)) % 15.59/15.85 (step @p233 :rule not_implies_elim1 :premises (@p232)) % 15.59/15.85 (step @p234 :rule refl :args (@t120)) % 15.59/15.85 (step @p235 :rule bool-double-not-elim :args (@t121)) % 15.59/15.85 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or (not @t122) @t120))) % 15.59/15.85 (step @p237 :rule implies_elim :premises (@p84)) % 15.59/15.85 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 15.59/15.85 (step @p239 :rule chain_m_resolution :premises (@p238 @p233) :args (@t120 (@list true) (@list @t121))) % 15.59/15.85 (step @p240 :rule not_implies_elim1 :premises (@p231)) % 15.59/15.85 (step @p241 :rule eq-symm :args (@t124 @t126)) % 15.59/15.85 (step @p242 :rule cong :premises (@p241) :args (@t224)) % 15.59/15.85 (step @p243 :rule refl :args (@t225)) % 15.59/15.85 (step @p244 :rule refl :args (@t228)) % 15.59/15.85 (step @p245 :rule refl :args (@t230)) % 15.59/15.85 (step @p246 :rule refl :args (@t232)) % 15.59/15.85 (step @p247 :rule eq-symm :args (@t124 tptp.sz00)) % 15.59/15.85 (step @p248 :rule cong :premises (@p247) :args (@t233)) % 15.59/15.85 (step @p249 :rule refl :args (@t234)) % 15.59/15.85 (step @p250 :rule refl :args (@t235)) % 15.59/15.85 (step @p251 :rule nary_cong :premises (@p250 @p249 @p248) :args (@t236)) % 15.59/15.85 (step @p252 :rule refl :args (@t231)) % 15.59/15.85 (step @p253 :rule cong :premises (@p252 @p251) :args (@t237)) % 15.59/15.85 (step @p254 :rule refl :args (@t238)) % 15.59/15.85 (step @p255 :rule refl :args (@t240)) % 15.59/15.85 (step @p256 :rule refl :args (@t241)) % 15.59/15.85 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254 @p253 @p246 @p245 @p116 @p244 @p243 @p242) :args (@t242)) % 15.59/15.85 (step @p258 :rule refl :args (@t243)) % 15.59/15.85 (step @p259 :rule refl :args (@t245)) % 15.59/15.85 (step @p260 :rule refl :args (@t247)) % 15.59/15.85 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258 @p257) :args (@t248)) % 15.59/15.85 (step @p262 :rule refl :args (@t249)) % 15.59/15.85 (step @p263 :rule cong :premises (@p262 @p261) :args ((=> @t249 @t248))) % 15.59/15.85 (assume-push @p311 @t249) % 15.59/15.85 (step @p265 :rule instantiate :premises (@p240) :args ((@list tptp.xj tptp.xi tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00))) % 15.59/15.85 (step-pop @p312 :rule scope :premises (@p265)) % 15.59/15.85 (step @p266 :rule process_scope :premises (@p312) :args (@t248)) % 15.59/15.85 (step @p268 :rule eq_resolve :premises (@p266 @p263)) % 15.59/15.85 (step @p269 :rule implies_elim :premises (@p268)) % 15.59/15.85 (step @p270 :rule chain_m_resolution :premises (@p269 @p240) :args (@t252 @t253 @t254)) % 15.59/15.85 (step @p271 :rule not_implies_elim2 :premises (@p232)) % 15.59/15.85 (step @p272 :rule not_not_elim :premises (@p271)) % 15.59/15.85 (step @p273 :rule and_elim :premises (@p272) :args (4)) % 15.59/15.85 (step @p274 :rule cnf_and_pos :args (@t251 9)) % 15.59/15.85 (step @p275 :rule reordering :premises (@p274) :args ((or @t250 @t255))) % 15.59/15.85 (step @p276 :rule chain_m_resolution :premises (@p275 @p273) :args (@t255 @t253 @t256)) % 15.59/15.85 (step @p277 :rule cnf_or_pos :args (@t252)) % 15.59/15.85 (step @p278 :rule reordering :premises (@p277) :args ((or @t245 @t247 @t243 @t251 (not @t252)))) % 15.59/15.85 (step @p279 :rule chain_m_resolution :premises (@p278 @p92 @p96 @p276 @p270) :args (@t243 (@list false false true false) (@list @t244 @t246 @t251 @t252))) % 15.59/15.85 (step @p280 :rule cnf_or_pos :args (@t120)) % 15.59/15.85 (step @p281 :rule reordering :premises (@p280) :args ((or @t119 @t118 (not @t120)))) % 15.59/15.85 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p239) :args (@t118 (@list true false) (@list @t119 @t120))) % 15.59/15.85 (step @p283 :rule cnf_and_pos :args (@t263 9)) % 15.59/15.85 (step @p284 :rule reordering :premises (@p283) :args ((or @t250 @t264))) % 15.59/15.85 (step @p285 :rule chain_m_resolution :premises (@p284 @p273) :args (@t264 @t253 @t256)) % 15.59/15.85 (step @p286 :rule refl :args (@t250)) % 15.59/15.85 (step @p287 :rule refl :args (@t257)) % 15.59/15.85 (step @p288 :rule refl :args (@t259)) % 15.59/15.85 (step @p289 :rule refl :args (@t261)) % 15.59/15.85 (step @p290 :rule eq-symm :args (@t126 tptp.sz00)) % 15.59/15.85 (step @p291 :rule cong :premises (@p290) :args (@t265)) % 15.59/15.85 (step @p292 :rule refl :args (@t226)) % 15.59/15.85 (step @p293 :rule nary_cong :premises (@p250 @p292 @p291) :args (@t266)) % 15.59/15.85 (step @p294 :rule refl :args (@t260)) % 15.59/15.85 (step @p295 :rule cong :premises (@p294 @p293) :args (@t267)) % 15.59/15.85 (step @p296 :rule refl :args (@t262)) % 15.59/15.85 (step @p297 :rule nary_cong :premises (@p116 @p244 @p296 @p295 @p289 @p288 @p256 @p255 @p287 @p286) :args (@t268)) % 15.59/15.85 (step @p298 :rule refl :args (@t269)) % 15.59/15.85 (step @p299 :rule nary_cong :premises (@p259 @p260 @p298 @p297) :args (@t270)) % 15.59/15.85 (step @p300 :rule cong :premises (@p262 @p299) :args ((=> @t249 @t270))) % 15.59/15.85 (assume-push @p313 @t249) % 15.59/15.85 (step @p302 :rule instantiate :premises (@p240) :args ((@list tptp.xi tptp.xj tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00))) % 15.59/15.85 (step-pop @p314 :rule scope :premises (@p302)) % 15.59/15.85 (step @p303 :rule process_scope :premises (@p314) :args (@t270)) % 15.59/15.85 (step @p305 :rule eq_resolve :premises (@p303 @p300)) % 15.59/15.85 (step @p306 :rule implies_elim :premises (@p305)) % 15.59/15.85 (step @p307 :rule chain_m_resolution :premises (@p306 @p240) :args (@t271 @t253 @t254)) % 15.59/15.85 (step @p308 :rule cnf_or_pos :args (@t271)) % 15.59/15.85 (step @p309 :rule reordering :premises (@p308) :args ((or @t245 @t247 @t269 @t263 (not @t271)))) % 15.59/15.85 (step @p310 false :rule chain_m_resolution :premises (@p309 @p307 @p285 @p282 @p96 @p92) :args (false (@list false true false false false) (@list @t271 @t263 @t118 @t246 @t244))) % 15.59/15.85 ) % 15.59/15.85 % SZS output end Proof % 15.59/15.85 % cvc5 exiting %------------------------------------------------------------------------------