%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM566+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 : n018.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 08:39:51 AM UTC 2026 % Result : Theorem 1.84s 2.05s % Output : Proof 1.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM566+1 : 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 % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:29:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.84/2.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.84/2.05 % SZS status Theorem % 1.84/2.05 % SZS output start Proof % 1.84/2.05 ( % 1.84/2.05 (declare-sort $$unsorted 0) % 1.84/2.05 (declare-const tptp.sz00 $$unsorted) % 1.84/2.05 (declare-const tptp.xc $$unsorted) % 1.84/2.05 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 1.84/2.05 (declare-const tptp.szNzAzT0 $$unsorted) % 1.84/2.05 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 1.84/2.05 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 1.84/2.05 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 1.84/2.05 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 1.84/2.05 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 1.84/2.05 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 1.84/2.05 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 1.84/2.05 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 1.84/2.05 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.xK $$unsorted) % 1.84/2.05 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.xT $$unsorted) % 1.84/2.05 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.xS $$unsorted) % 1.84/2.05 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.slcrc0 $$unsorted) % 1.84/2.05 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 1.84/2.05 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 1.84/2.05 (define @t1 () (@var "W0" $$unsorted)) % 1.84/2.05 (define @t2 () (tptp.aSet0 @t1)) % 1.84/2.05 (define @t3 () (@list @t1)) % 1.84/2.05 (define @t4 () (tptp.aElement0 @t1)) % 1.84/2.05 (define @t5 () (@var "W1" $$unsorted)) % 1.84/2.05 (define @t6 () (tptp.aElement0 @t5)) % 1.84/2.05 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 1.84/2.05 (define @t8 () (@list @t5)) % 1.84/2.05 (define @t9 () (tptp.isFinite0 @t1)) % 1.84/2.05 (define @t10 () (= @t1 tptp.slcrc0)) % 1.84/2.05 (define @t11 () (tptp.isCountable0 @t1)) % 1.84/2.05 (define @t12 () (not @t9)) % 1.84/2.05 (define @t13 () (and @t2 @t11)) % 1.84/2.05 (define @t14 () (not @t10)) % 1.84/2.05 (define @t15 () (@var "W2" $$unsorted)) % 1.84/2.05 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 1.84/2.05 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 1.84/2.05 (define @t18 () (@list @t15)) % 1.84/2.05 (define @t19 () (forall @t18 (=> @t17 @t16))) % 1.84/2.05 (define @t20 () (tptp.aSet0 @t5)) % 1.84/2.05 (define @t21 () (and @t20 @t19)) % 1.84/2.05 (define @t22 () (tptp.aSubsetOf0 @t5 @t1)) % 1.84/2.05 (define @t23 () (= @t22 @t21)) % 1.84/2.05 (define @t24 () (forall @t8 @t23)) % 1.84/2.05 (define @t25 () (=> @t2 @t24)) % 1.84/2.05 (define @t26 () (forall @t3 @t25)) % 1.84/2.05 (define @t27 () (tptp.isFinite0 @t5)) % 1.84/2.05 (define @t28 () (and @t2 @t9)) % 1.84/2.05 (define @t29 () (tptp.aSubsetOf0 @t1 @t1)) % 1.84/2.05 (define @t30 () (forall @t3 (=> @t2 @t29))) % 1.84/2.05 (define @t31 () (= @t1 @t5)) % 1.84/2.05 (define @t32 () (tptp.aSubsetOf0 @t1 @t5)) % 1.84/2.05 (define @t33 () (@list @t1 @t5)) % 1.84/2.05 (define @t34 () (tptp.aSubsetOf0 @t5 @t15)) % 1.84/2.05 (define @t35 () (tptp.aSet0 @t15)) % 1.84/2.05 (define @t36 () (@list @t1 @t5 @t15)) % 1.84/2.05 (define @t37 () (@var "W3" $$unsorted)) % 1.84/2.05 (define @t38 () (= @t37 @t5)) % 1.84/2.05 (define @t39 () (tptp.aElementOf0 @t37 @t1)) % 1.84/2.05 (define @t40 () (tptp.aElement0 @t37)) % 1.84/2.05 (define @t41 () (tptp.aElementOf0 @t37 @t15)) % 1.84/2.05 (define @t42 () (@list @t37)) % 1.84/2.05 (define @t43 () (tptp.sdtpldt0 @t1 @t5)) % 1.84/2.05 (define @t44 () (and @t2 @t6)) % 1.84/2.05 (define @t45 () (tptp.sdtmndt0 @t1 @t5)) % 1.84/2.05 (define @t46 () (tptp.sdtpldt0 @t5 @t1)) % 1.84/2.05 (define @t47 () (tptp.isCountable0 @t5)) % 1.84/2.05 (define @t48 () (and @t20 @t47)) % 1.84/2.05 (define @t49 () (tptp.sdtmndt0 @t5 @t1)) % 1.84/2.05 (define @t50 () (and @t20 @t27)) % 1.84/2.05 (define @t51 () (tptp.aSet0 tptp.szNzAzT0)) % 1.84/2.05 (define @t52 () (tptp.szszuzczcdt0 @t1)) % 1.84/2.05 (define @t53 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 1.84/2.05 (define @t54 () (tptp.szszuzczcdt0 @t5)) % 1.84/2.05 (define @t55 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 1.84/2.05 (define @t56 () (and @t53 @t55)) % 1.84/2.05 (define @t57 () (= @t1 tptp.sz00)) % 1.84/2.05 (define @t58 () (tptp.sdtlseqdt0 @t1 @t5)) % 1.84/2.05 (define @t59 () (tptp.sdtlseqdt0 @t5 @t15)) % 1.84/2.05 (define @t60 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 1.84/2.05 (define @t61 () (tptp.sbrdtbr0 @t1)) % 1.84/2.05 (define @t62 () (and @t2 @t55)) % 1.84/2.05 (define @t63 () (tptp.szmzizndt0 @t1)) % 1.84/2.05 (define @t64 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 1.84/2.05 (define @t65 () (tptp.szmzizndt0 @t5)) % 1.84/2.05 (define @t66 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 1.84/2.05 (define @t67 () (tptp.slbdtrb0 @t1)) % 1.84/2.05 (define @t68 () (tptp.slbdtrb0 @t5)) % 1.84/2.05 (define @t69 () (tptp.aSubsetOf0 @t37 @t1)) % 1.84/2.05 (define @t70 () (tptp.slbdtsldtrb0 @t1 @t5)) % 1.84/2.05 (define @t71 () (tptp.slbdtsldtrb0 @t5 @t1)) % 1.84/2.05 (define @t72 () (tptp.aFunction0 @t1)) % 1.84/2.05 (define @t73 () (tptp.szDzozmdt0 @t1)) % 1.84/2.05 (define @t74 () (tptp.sdtlpdtrp0 @t1 @t5)) % 1.84/2.05 (define @t75 () (tptp.aElementOf0 @t5 @t73)) % 1.84/2.05 (define @t76 () (tptp.sdtlpdtrp0 @t1 @t37)) % 1.84/2.05 (define @t77 () (tptp.aElementOf0 @t37 @t73)) % 1.84/2.05 (define @t78 () (tptp.sdtlbdtrb0 @t1 @t5)) % 1.84/2.05 (define @t79 () (and @t72 @t6)) % 1.84/2.05 (define @t80 () (@var "W4" $$unsorted)) % 1.84/2.05 (define @t81 () (@list @t80)) % 1.84/2.05 (define @t82 () (tptp.sdtlcdtrc0 @t1 @t5)) % 1.84/2.05 (define @t83 () (tptp.aSubsetOf0 @t5 @t73)) % 1.84/2.05 (define @t84 () (tptp.sdtlcdtrc0 @t1 @t73)) % 1.84/2.05 (define @t85 () (tptp.aElementOf0 @t74 @t84)) % 1.84/2.05 (define @t86 () (forall @t8 (=> @t75 @t85))) % 1.84/2.05 (define @t87 () (=> @t72 @t86)) % 1.84/2.05 (define @t88 () (forall @t3 @t87)) % 1.84/2.05 (define @t89 () (tptp.szDzozmdt0 @t15)) % 1.84/2.05 (define @t90 () (tptp.aFunction0 @t15)) % 1.84/2.05 (define @t91 () (tptp.szDzizrdt0 @t1)) % 1.84/2.05 (define @t92 () (tptp.aSet0 tptp.xT)) % 1.84/2.05 (define @t93 () (tptp.isCountable0 tptp.xS)) % 1.84/2.05 (define @t94 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 1.84/2.05 (define @t95 () (tptp.szDzozmdt0 tptp.xc)) % 1.84/2.05 (define @t96 () (tptp.sdtlcdtrc0 tptp.xc @t95)) % 1.84/2.05 (define @t97 () (tptp.aSubsetOf0 @t96 tptp.xT)) % 1.84/2.05 (define @t98 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 1.84/2.05 (define @t99 () (tptp.aFunction0 tptp.xc)) % 1.84/2.05 (define @t100 () (@var "W5" $$unsorted)) % 1.84/2.05 (define @t101 () (tptp.slbdtsldtrb0 tptp.xS tptp.sz00)) % 1.84/2.05 (define @t102 () (tptp.sdtlpdtrp0 tptp.xc tptp.slcrc0)) % 1.84/2.05 (define @t103 () (= (tptp.sdtlpdtrp0 tptp.xc @t1) @t102)) % 1.84/2.05 (define @t104 () (tptp.aElementOf0 @t1 @t101)) % 1.84/2.05 (define @t105 () (forall @t3 (=> @t104 @t103))) % 1.84/2.05 (define @t106 () (tptp.sdtlpdtrp0 tptp.xc @t15)) % 1.84/2.05 (define @t107 () (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xK))) % 1.84/2.05 (define @t108 () (=> @t107 (= @t106 @t1))) % 1.84/2.05 (define @t109 () (forall @t18 @t108)) % 1.84/2.05 (define @t110 () (tptp.aSubsetOf0 @t5 tptp.xS)) % 1.84/2.05 (define @t111 () (and @t110 @t47 @t109)) % 1.84/2.05 (define @t112 () (exists @t8 @t111)) % 1.84/2.05 (define @t113 () (tptp.aElementOf0 @t1 tptp.xT)) % 1.84/2.05 (define @t114 () (and @t113 @t112)) % 1.84/2.05 (define @t115 () (exists @t3 @t114)) % 1.84/2.05 (define @t116 () (not @t115)) % 1.84/2.05 (define @t117 () (forall @t18 (or (not (tptp.aElementOf0 @t15 @t98)) (= @t102 @t106)))) % 1.84/2.05 (define @t118 () (@quantifiers_skolemize @t117 0)) % 1.84/2.05 (define @t119 () (tptp.sdtlpdtrp0 tptp.xc @t118)) % 1.84/2.05 (define @t120 () (not (tptp.aElementOf0 @t118 @t101))) % 1.84/2.05 (define @t121 () (or @t120 (= @t119 @t102))) % 1.84/2.05 (define @t122 () (forall @t3 (or (not @t104) @t103))) % 1.84/2.05 (define @t123 () (= @t102 @t119)) % 1.84/2.05 (define @t124 () (or @t120 @t123)) % 1.84/2.05 (define @t125 () (@list false)) % 1.84/2.05 (define @t126 () (= @t1 @t106)) % 1.84/2.05 (define @t127 () (@var "BOUND_VARIABLE_9244" $$unsorted)) % 1.84/2.05 (define @t128 () (not (forall @t18 (or (not (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t127 tptp.xK))) @t126)))) % 1.84/2.05 (define @t129 () (not (tptp.isCountable0 @t127))) % 1.84/2.05 (define @t130 () (not (tptp.aSubsetOf0 @t127 tptp.xS))) % 1.84/2.05 (define @t131 () (not @t113)) % 1.84/2.05 (define @t132 () (or @t131 @t130 @t129 @t128)) % 1.84/2.05 (define @t133 () (@list @t1 @t127)) % 1.84/2.05 (define @t134 () (or @t130 @t129 @t128)) % 1.84/2.05 (define @t135 () (or @t131 @t134)) % 1.84/2.05 (define @t136 () (forall @t133 @t135)) % 1.84/2.05 (define @t137 () (@list @t127)) % 1.84/2.05 (define @t138 () (forall @t137 @t135)) % 1.84/2.05 (define @t139 () (forall @t137 @t134)) % 1.84/2.05 (define @t140 () (@list @t5)) % 1.84/2.05 (define @t141 () (or @t131 @t139)) % 1.84/2.05 (define @t142 () (forall @t18 (or (not @t107) @t126))) % 1.84/2.05 (define @t143 () (not @t142)) % 1.84/2.05 (define @t144 () (not @t47)) % 1.84/2.05 (define @t145 () (not @t110)) % 1.84/2.05 (define @t146 () (or @t145 @t144 @t143)) % 1.84/2.05 (define @t147 () (forall @t8 @t146)) % 1.84/2.05 (define @t148 () (not @t147)) % 1.84/2.05 (define @t149 () (and @t113 @t148)) % 1.84/2.05 (define @t150 () (forall @t3 (not @t149))) % 1.84/2.05 (define @t151 () (not @t150)) % 1.84/2.05 (define @t152 () (and @t110 @t47 @t142)) % 1.84/2.05 (define @t153 () (forall @t8 (not @t152))) % 1.84/2.05 (define @t154 () (not @t153)) % 1.84/2.05 (define @t155 () (@var "BOUND_VARIABLE_8065" $$unsorted)) % 1.84/2.05 (define @t156 () (= (tptp.aSubsetOf0 @t155 @t1) (and (tptp.aSet0 @t155) (forall @t18 (or (not (tptp.aElementOf0 @t15 @t155)) @t16))))) % 1.84/2.05 (define @t157 () (not @t2)) % 1.84/2.05 (define @t158 () (or @t157 @t156)) % 1.84/2.05 (define @t159 () (@list @t155)) % 1.84/2.05 (define @t160 () (forall @t159 @t158)) % 1.84/2.05 (define @t161 () (forall @t159 @t156)) % 1.84/2.05 (define @t162 () (or @t157 @t161)) % 1.84/2.05 (define @t163 () (forall @t8 (= @t22 (and @t20 (forall @t18 (or (not @t17) @t16)))))) % 1.84/2.05 (define @t164 () (forall @t18 (or (not (tptp.aElementOf0 @t15 @t96)) (tptp.aElementOf0 @t15 tptp.xT)))) % 1.84/2.05 (define @t165 () (and (tptp.aSet0 @t96) @t164)) % 1.84/2.05 (define @t166 () (= @t97 @t165)) % 1.84/2.05 (define @t167 () (not @t92)) % 1.84/2.05 (define @t168 () (or @t167 @t166)) % 1.84/2.05 (define @t169 () (@list false false)) % 1.84/2.05 (define @t170 () (@var "BOUND_VARIABLE_8952" $$unsorted)) % 1.84/2.05 (define @t171 () (tptp.aElementOf0 (tptp.sdtlpdtrp0 @t1 @t170) @t84)) % 1.84/2.05 (define @t172 () (not (tptp.aElementOf0 @t170 @t73))) % 1.84/2.05 (define @t173 () (not @t72)) % 1.84/2.05 (define @t174 () (or @t172 @t171)) % 1.84/2.05 (define @t175 () (or @t173 @t174)) % 1.84/2.05 (define @t176 () (forall (@list @t1 @t170) @t175)) % 1.84/2.05 (define @t177 () (@list @t170)) % 1.84/2.05 (define @t178 () (forall @t177 @t175)) % 1.84/2.05 (define @t179 () (forall @t177 @t174)) % 1.84/2.05 (define @t180 () (or @t173 @t179)) % 1.84/2.05 (define @t181 () (forall @t8 (or (not @t75) @t85))) % 1.84/2.05 (define @t182 () (tptp.aElementOf0 tptp.slcrc0 @t95)) % 1.84/2.05 (define @t183 () (tptp.aElementOf0 @t102 @t96)) % 1.84/2.05 (define @t184 () (not @t182)) % 1.84/2.05 (define @t185 () (not @t99)) % 1.84/2.05 (define @t186 () (or @t185 @t184 @t183)) % 1.84/2.05 (define @t187 () (tptp.aElementOf0 @t102 tptp.xT)) % 1.84/2.05 (define @t188 () (not @t183)) % 1.84/2.05 (define @t189 () (or @t188 @t187)) % 1.84/2.05 (define @t190 () (tptp.aSet0 tptp.xS)) % 1.84/2.05 (define @t191 () (and @t190 (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.xS)) @t60)))) % 1.84/2.05 (define @t192 () (= @t94 @t191)) % 1.84/2.05 (define @t193 () (not @t51)) % 1.84/2.05 (define @t194 () (or @t193 @t192)) % 1.84/2.05 (define @t195 () (tptp.aSubsetOf0 tptp.xS tptp.xS)) % 1.84/2.05 (define @t196 () (not @t190)) % 1.84/2.05 (define @t197 () (or @t196 @t195)) % 1.84/2.05 (define @t198 () (not @t117)) % 1.84/2.05 (define @t199 () (not @t93)) % 1.84/2.05 (define @t200 () (not @t195)) % 1.84/2.05 (define @t201 () (not @t187)) % 1.84/2.05 (define @t202 () (or @t201 @t200 @t199 @t198)) % 1.84/2.05 (define @t203 () (tptp.aElementOf0 @t118 @t98)) % 1.84/2.05 (define @t204 () (not @t203)) % 1.84/2.05 (define @t205 () (or @t204 @t123)) % 1.84/2.05 (define @t206 () (@list true)) % 1.84/2.05 (define @t207 () (@list @t205)) % 1.84/2.05 (assume @p1 (forall @t3 (=> @t2 true))) % 1.84/2.05 (assume @p2 (forall @t3 (=> @t4 true))) % 1.84/2.05 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 1.84/2.05 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 1.84/2.05 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 1.84/2.05 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 1.84/2.05 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 1.84/2.05 (assume @p8 (forall @t3 (=> @t13 @t12))) % 1.84/2.05 (assume @p9 (forall @t3 (=> @t13 @t14))) % 1.84/2.05 (assume @p10 @t26) % 1.84/2.05 (assume @p11 (forall @t3 (=> @t28 (forall @t8 (=> @t22 @t27))))) % 1.84/2.05 (assume @p12 @t30) % 1.84/2.05 (assume @p13 (forall @t33 (=> (and @t2 @t20) (=> (and @t32 @t22) @t31)))) % 1.84/2.05 (assume @p14 (forall @t36 (=> (and @t2 @t20 @t35) (=> (and @t32 @t34) (tptp.aSubsetOf0 @t1 @t15))))) % 1.84/2.05 (assume @p15 (forall @t33 (=> @t44 (forall @t18 (= (= @t15 @t43) (and @t35 (forall @t42 (= @t41 (and @t40 (or @t39 @t38)))))))))) % 1.84/2.05 (assume @p16 (forall @t33 (=> @t44 (forall @t18 (= (= @t15 @t45) (and @t35 (forall @t42 (= @t41 (and @t40 @t39 (not @t38)))))))))) % 1.84/2.05 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t45 @t5) @t1)))))) % 1.84/2.05 (assume @p18 (forall @t33 (=> (and @t4 @t20) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t46 @t1) @t5))))) % 1.84/2.05 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isCountable0 @t46)))))) % 1.84/2.05 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isCountable0 @t49)))))) % 1.84/2.05 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t50 (tptp.isFinite0 @t46)))))) % 1.84/2.05 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t50 (tptp.isFinite0 @t49)))))) % 1.84/2.05 (assume @p23 (and @t51 (tptp.isCountable0 tptp.szNzAzT0))) % 1.84/2.05 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 1.84/2.05 (assume @p25 (forall @t3 (=> @t53 (and (tptp.aElementOf0 @t52 tptp.szNzAzT0) (not (= @t52 tptp.sz00)))))) % 1.84/2.05 (assume @p26 (forall @t33 (=> @t56 (=> (= @t52 @t54) @t31)))) % 1.84/2.05 (assume @p27 (forall @t3 (=> @t53 (or @t57 (exists @t8 (and @t55 (= @t1 @t54))))))) % 1.84/2.05 (assume @p28 (forall @t3 (=> @t53 (not (= @t1 @t52))))) % 1.84/2.05 (assume @p29 (forall @t33 (=> @t56 (=> @t58 true)))) % 1.84/2.05 (assume @p30 (forall @t3 (=> @t53 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 1.84/2.05 (assume @p31 (forall @t3 (=> @t53 (not (tptp.sdtlseqdt0 @t52 tptp.sz00))))) % 1.84/2.05 (assume @p32 (forall @t33 (=> @t56 (= @t58 (tptp.sdtlseqdt0 @t52 @t54))))) % 1.84/2.05 (assume @p33 (forall @t3 (=> @t53 (tptp.sdtlseqdt0 @t1 @t52)))) % 1.84/2.05 (assume @p34 (forall @t3 (=> @t53 (tptp.sdtlseqdt0 @t1 @t1)))) % 1.84/2.05 (assume @p35 (forall @t33 (=> @t56 (=> (and @t58 (tptp.sdtlseqdt0 @t5 @t1)) @t31)))) % 1.84/2.05 (assume @p36 (forall @t36 (=> (and @t53 @t55 @t60) (=> (and @t58 @t59) (tptp.sdtlseqdt0 @t1 @t15))))) % 1.84/2.05 (assume @p37 (forall @t33 (=> @t56 (or @t58 (tptp.sdtlseqdt0 @t54 @t1))))) % 1.84/2.05 (assume @p38 (forall @t33 (=> @t56 (=> (tptp.iLess0 @t1 @t5) true)))) % 1.84/2.05 (assume @p39 (forall @t3 (=> @t53 (tptp.iLess0 @t1 @t52)))) % 1.84/2.05 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t61)))) % 1.84/2.05 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t61 tptp.szNzAzT0) @t9)))) % 1.84/2.05 (assume @p42 (forall @t3 (=> @t2 (= (= @t61 tptp.sz00) @t10)))) % 1.84/2.05 (assume @p43 (forall @t3 (=> @t28 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t43) (tptp.szszuzczcdt0 @t61)))))))) % 1.84/2.05 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t45)) @t61)))))) % 1.84/2.05 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t22) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t61)))))) % 1.84/2.05 (assume @p46 (forall @t33 (=> @t62 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t61)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 1.84/2.05 (assume @p47 (forall @t3 (=> (and @t64 @t14) (forall @t8 (= (= @t5 @t63) (and @t7 (forall @t18 (=> @t16 @t59)))))))) % 1.84/2.05 (assume @p48 (forall @t3 (=> (and @t64 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 1.84/2.05 (assume @p49 (forall @t33 (=> (and @t64 @t66 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t63 @t5) (tptp.aElementOf0 @t65 @t1)) (= @t63 @t65))))) % 1.84/2.05 (assume @p50 (forall @t3 (=> @t53 (forall @t8 (= (= @t5 @t67) (and @t20 (forall @t18 (= @t17 (and @t60 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 1.84/2.05 (assume @p51 (forall @t3 (=> @t53 (tptp.isFinite0 @t67)))) % 1.84/2.05 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 1.84/2.05 (assume @p53 (forall @t33 (=> @t56 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t54)) (or (tptp.aElementOf0 @t1 @t68) @t31))))) % 1.84/2.05 (assume @p54 (forall @t33 (=> @t56 (= @t58 (tptp.aSubsetOf0 @t67 @t68))))) % 1.84/2.05 (assume @p55 (forall @t3 (=> (and @t64 @t9) (exists @t8 (and @t55 (tptp.aSubsetOf0 @t1 @t68)))))) % 1.84/2.05 (assume @p56 (forall @t3 (=> @t53 (= (tptp.sbrdtbr0 @t67) @t1)))) % 1.84/2.05 (assume @p57 (forall @t33 (=> @t62 (forall @t18 (= (= @t15 @t70) (and @t35 (forall @t42 (= @t41 (and @t69 (= (tptp.sbrdtbr0 @t37) @t5)))))))))) % 1.84/2.05 (assume @p58 (forall @t3 (=> @t28 (forall @t8 (=> @t55 (tptp.isFinite0 @t70)))))) % 1.84/2.05 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t55 (not (= @t70 tptp.slcrc0))))))) % 1.84/2.05 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t55 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t70)))))) % 1.84/2.05 (assume @p61 (forall @t3 (=> @t53 (forall (@list @t5 @t15) (=> (and @t20 @t35 (not @t57)) (=> (and (tptp.aSubsetOf0 @t71 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t71 tptp.slcrc0))) @t34)))))) % 1.84/2.05 (assume @p62 (forall @t33 (=> @t62 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t70) (tptp.isFinite0 @t15)) (exists @t42 (and @t69 (tptp.isFinite0 @t37) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t37 @t5))))))))) % 1.84/2.05 (assume @p63 (forall @t3 (=> @t72 true))) % 1.84/2.05 (assume @p64 (forall @t3 (=> @t72 (tptp.aSet0 @t73)))) % 1.84/2.05 (assume @p65 (forall @t3 (=> @t72 (forall @t8 (=> @t75 (tptp.aElement0 @t74)))))) % 1.84/2.05 (assume @p66 (forall @t33 (=> @t79 (forall @t18 (= (= @t15 @t78) (and @t35 (forall @t42 (= @t41 (and @t77 (= @t76 @t5)))))))))) % 1.84/2.05 (assume @p67 (forall @t33 (=> @t79 (tptp.aSubsetOf0 @t78 @t73)))) % 1.84/2.05 (assume @p68 (forall @t3 (=> @t72 (forall @t8 (=> @t83 (forall @t18 (= (= @t15 @t82) (and @t35 (forall @t42 (= @t41 (exists @t81 (and (tptp.aElementOf0 @t80 @t5) (= (tptp.sdtlpdtrp0 @t1 @t80) @t37))))))))))))) % 1.84/2.05 (assume @p69 @t88) % 1.84/2.05 (assume @p70 (forall @t3 (=> @t72 (forall @t8 (=> @t83 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t90 (= @t89 @t5) (forall @t42 (=> (tptp.aElementOf0 @t37 @t5) (= (tptp.sdtlpdtrp0 @t15 @t37) @t76))))))))))) % 1.84/2.05 (assume @p71 (forall @t3 (=> @t72 (forall @t8 (=> (and @t83 @t47) (=> (forall (@list @t15 @t37) (=> (and (tptp.aElementOf0 @t15 @t73) @t77 (not (= @t15 @t37))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t76)))) (tptp.isCountable0 @t82))))))) % 1.84/2.05 (assume @p72 (forall @t3 (=> @t72 (=> (and (tptp.isCountable0 @t73) (tptp.isFinite0 @t84)) (and (tptp.aElement0 @t91) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t91))))))) % 1.84/2.05 (assume @p73 (and @t92 (tptp.isFinite0 tptp.xT))) % 1.84/2.05 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 1.84/2.05 (assume @p75 (and @t94 @t93)) % 1.84/2.05 (assume @p76 (and @t99 (= @t95 @t98) @t97)) % 1.84/2.05 (assume @p77 (forall @t3 (=> @t53 (forall @t8 (=> (and @t66 @t47) (forall @t18 (=> (and @t90 (= @t89 @t71) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t89) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t42 (and (tptp.aElementOf0 @t37 tptp.xT) (exists @t81 (and (tptp.aSubsetOf0 @t80 @t5) (tptp.isCountable0 @t80) (forall (@list @t100) (=> (tptp.aElementOf0 @t100 (tptp.slbdtsldtrb0 @t80 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t100) @t37))))))))))))))) % 1.84/2.05 (assume @p78 (= tptp.xK tptp.sz00)) % 1.84/2.05 (assume @p79 (tptp.aElementOf0 tptp.slcrc0 @t101)) % 1.84/2.05 (assume @p80 @t105) % 1.84/2.05 (assume @p81 @t116) % 1.84/2.05 (assume @p82 true) % 1.84/2.05 (step @p83 :rule evaluate :args ((= true false))) % 1.84/2.05 (step @p84 :rule bool-impl-elim :args (@t104 @t103)) % 1.84/2.05 (step @p85 :rule cong :premises (@p84) :args (@t105)) % 1.84/2.05 (step @p86 :rule eq_resolve :premises (@p80 @p85)) % 1.84/2.05 (step @p87 :rule eq-symm :args (@t119 @t102)) % 1.84/2.05 (step @p88 :rule refl :args (@t120)) % 1.84/2.05 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t121)) % 1.84/2.05 (step @p90 :rule refl :args (@t122)) % 1.84/2.05 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t122 @t121))) % 1.84/2.05 (assume-push @p271 @t122) % 1.84/2.05 (step @p93 :rule instantiate :premises (@p86) :args ((@list @t118))) % 1.84/2.05 (step-pop @p272 :rule scope :premises (@p93)) % 1.84/2.05 (step @p94 :rule process_scope :premises (@p272) :args (@t121)) % 1.84/2.05 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 1.84/2.05 (step @p97 :rule implies_elim :premises (@p96)) % 1.84/2.05 (step @p98 :rule chain_m_resolution :premises (@p97 @p86) :args (@t124 @t125 (@list @t122))) % 1.84/2.05 (step @p99 :rule bool-double-not-elim :args ((forall @t133 @t132))) % 1.84/2.05 (step @p100 :rule aci_norm :args ((= @t135 @t132))) % 1.84/2.05 (step @p101 :rule cong :premises (@p100) :args (@t136)) % 1.84/2.05 (step @p102 :rule quant-merge-prenex :args ((= (forall @t3 @t138) @t136))) % 1.84/2.05 (step @p103 :rule alpha_equiv :args (@t139 (@list @t127) @t140)) % 1.84/2.05 (step @p104 :rule refl :args (@t131)) % 1.84/2.05 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t141)) % 1.84/2.05 (step @p106 :rule quant-miniscope-or :args ((= @t138 @t141))) % 1.84/2.05 (step @p107 :rule trans :premises (@p106 @p105)) % 1.84/2.05 (step @p108 :rule symm :premises (@p107)) % 1.84/2.05 (step @p109 :rule cong :premises (@p108) :args ((forall @t3 (or @t131 @t147)))) % 1.84/2.05 (step @p110 :rule trans :premises (@p109 @p102)) % 1.84/2.05 (step @p111 :rule trans :premises (@p110 @p101)) % 1.84/2.05 (step @p112 :rule bool-double-not-elim :args (@t147)) % 1.84/2.05 (step @p113 :rule nary_cong :premises (@p104 @p112) :args ((or @t131 (not @t148)))) % 1.84/2.05 (step @p114 :rule bool-and-de-morgan :args (@t113 @t148 true)) % 1.84/2.05 (step @p115 :rule trans :premises (@p114 @p113)) % 1.84/2.05 (step @p116 :rule cong :premises (@p115) :args (@t150)) % 1.84/2.05 (step @p117 :rule trans :premises (@p116 @p111)) % 1.84/2.05 (step @p118 :rule cong :premises (@p117) :args (@t151)) % 1.84/2.05 (step @p119 :rule exists-elim :args ((= (exists @t3 @t149) @t151))) % 1.84/2.05 (step @p120 :rule trans :premises (@p119 @p118)) % 1.84/2.05 (step @p121 :rule aci_norm :args ((= (or @t145 (or @t144 @t143)) @t146))) % 1.84/2.05 (step @p122 :rule bool-and-de-morgan :args (@t47 @t142 true)) % 1.84/2.05 (step @p123 :rule refl :args (@t145)) % 1.84/2.05 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t145 (not (and @t47 @t142))))) % 1.84/2.05 (step @p125 :rule bool-and-de-morgan :args (@t110 @t47 (and @t142))) % 1.84/2.05 (step @p126 :rule trans :premises (@p125 @p124)) % 1.84/2.05 (step @p127 :rule trans :premises (@p126 @p121)) % 1.84/2.05 (step @p128 :rule cong :premises (@p127) :args (@t153)) % 1.84/2.05 (step @p129 :rule cong :premises (@p128) :args (@t154)) % 1.84/2.05 (step @p130 :rule exists-elim :args ((= (exists @t8 @t152) @t154))) % 1.84/2.05 (step @p131 :rule trans :premises (@p130 @p129)) % 1.84/2.05 (step @p132 :rule bool-impl-elim :args (@t107 @t126)) % 1.84/2.05 (step @p133 :rule cong :premises (@p132) :args ((forall @t18 (=> @t107 @t126)))) % 1.84/2.05 (step @p134 :rule eq-symm :args (@t106 @t1)) % 1.84/2.05 (step @p135 :rule refl :args (@t107)) % 1.84/2.05 (step @p136 :rule cong :premises (@p135 @p134) :args (@t108)) % 1.84/2.05 (step @p137 :rule cong :premises (@p136) :args (@t109)) % 1.84/2.05 (step @p138 :rule trans :premises (@p137 @p133)) % 1.84/2.05 (step @p139 :rule refl :args (@t47)) % 1.84/2.05 (step @p140 :rule refl :args (@t110)) % 1.84/2.05 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138) :args (@t111)) % 1.84/2.05 (step @p142 :rule cong :premises (@p141) :args (@t112)) % 1.84/2.05 (step @p143 :rule trans :premises (@p142 @p131)) % 1.84/2.05 (step @p144 :rule refl :args (@t113)) % 1.84/2.05 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t114)) % 1.84/2.05 (step @p146 :rule cong :premises (@p145) :args (@t115)) % 1.84/2.05 (step @p147 :rule trans :premises (@p146 @p120)) % 1.84/2.05 (step @p148 :rule cong :premises (@p147) :args (@t116)) % 1.84/2.05 (step @p149 :rule trans :premises (@p148 @p99)) % 1.84/2.05 (step @p150 :rule eq_resolve :premises (@p81 @p149)) % 1.84/2.05 (step @p151 :rule instantiate :premises (@p150) :args ((@list @t102 tptp.xS))) % 1.84/2.05 (step @p152 :rule quant-merge-prenex :args ((= (forall @t3 @t160) (forall (@list @t1 @t155) @t158)))) % 1.84/2.05 (step @p153 :rule alpha_equiv :args (@t161 (@list @t155) @t140)) % 1.84/2.05 (step @p154 :rule refl :args (@t157)) % 1.84/2.05 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t162)) % 1.84/2.05 (step @p156 :rule quant-miniscope-or :args ((= @t160 @t162))) % 1.84/2.05 (step @p157 :rule trans :premises (@p156 @p155)) % 1.84/2.05 (step @p158 :rule symm :premises (@p157)) % 1.84/2.05 (step @p159 :rule cong :premises (@p158) :args ((forall @t3 (or @t157 @t163)))) % 1.84/2.05 (step @p160 :rule trans :premises (@p159 @p152)) % 1.84/2.05 (step @p161 :rule bool-impl-elim :args (@t2 @t163)) % 1.84/2.05 (step @p162 :rule cong :premises (@p161) :args ((forall @t3 (=> @t2 @t163)))) % 1.84/2.05 (step @p163 :rule trans :premises (@p162 @p160)) % 1.84/2.05 (step @p164 :rule bool-impl-elim :args (@t17 @t16)) % 1.84/2.05 (step @p165 :rule cong :premises (@p164) :args (@t19)) % 1.84/2.05 (step @p166 :rule refl :args (@t20)) % 1.84/2.05 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t21)) % 1.84/2.05 (step @p168 :rule refl :args (@t22)) % 1.84/2.05 (step @p169 :rule cong :premises (@p168 @p167) :args (@t23)) % 1.84/2.05 (step @p170 :rule cong :premises (@p169) :args (@t24)) % 1.84/2.05 (step @p171 :rule refl :args (@t2)) % 1.84/2.05 (step @p172 :rule cong :premises (@p171 @p170) :args (@t25)) % 1.84/2.05 (step @p173 :rule cong :premises (@p172) :args (@t26)) % 1.84/2.05 (step @p174 :rule trans :premises (@p173 @p163)) % 1.84/2.05 (step @p175 :rule eq_resolve :premises (@p10 @p174)) % 1.84/2.05 (step @p176 :rule instantiate :premises (@p175) :args ((@list tptp.xT @t96))) % 1.84/2.05 (step @p177 :rule and_elim :premises (@p73) :args (0)) % 1.84/2.05 (step @p178 :rule cnf_or_pos :args (@t168)) % 1.84/2.05 (step @p179 :rule reordering :premises (@p178) :args ((or @t167 @t166 (not @t168)))) % 1.84/2.05 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p176) :args (@t166 @t169 (@list @t92 @t168))) % 1.84/2.05 (step @p181 :rule and_elim :premises (@p76) :args (2)) % 1.84/2.05 (step @p182 :rule cnf_equiv_pos1 :args (@t166)) % 1.84/2.05 (step @p183 :rule reordering :premises (@p182) :args ((or (not @t97) @t165 (not @t166)))) % 1.84/2.05 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p180) :args (@t165 @t169 (@list @t97 @t166))) % 1.84/2.05 (step @p185 :rule cnf_and_pos :args (@t165 1)) % 1.84/2.05 (step @p186 :rule reordering :premises (@p185) :args ((or @t164 (not @t165)))) % 1.84/2.05 (step @p187 :rule chain_m_resolution :premises (@p186 @p184) :args (@t164 @t125 (@list @t165))) % 1.84/2.05 (step @p188 :rule instantiate :premises (@p187) :args ((@list @t102))) % 1.84/2.05 (step @p189 :rule aci_norm :args ((= @t175 (or @t173 @t172 @t171)))) % 1.84/2.05 (step @p190 :rule cong :premises (@p189) :args (@t176)) % 1.84/2.05 (step @p191 :rule quant-merge-prenex :args ((= (forall @t3 @t178) @t176))) % 1.84/2.05 (step @p192 :rule alpha_equiv :args (@t179 (@list @t170) @t140)) % 1.84/2.05 (step @p193 :rule refl :args (@t173)) % 1.84/2.05 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t180)) % 1.84/2.05 (step @p195 :rule quant-miniscope-or :args ((= @t178 @t180))) % 1.84/2.05 (step @p196 :rule trans :premises (@p195 @p194)) % 1.84/2.05 (step @p197 :rule symm :premises (@p196)) % 1.84/2.05 (step @p198 :rule cong :premises (@p197) :args ((forall @t3 (or @t173 @t181)))) % 1.84/2.05 (step @p199 :rule trans :premises (@p198 @p191)) % 1.84/2.05 (step @p200 :rule trans :premises (@p199 @p190)) % 1.84/2.05 (step @p201 :rule bool-impl-elim :args (@t72 @t181)) % 1.84/2.05 (step @p202 :rule cong :premises (@p201) :args ((forall @t3 (=> @t72 @t181)))) % 1.84/2.05 (step @p203 :rule trans :premises (@p202 @p200)) % 1.84/2.05 (step @p204 :rule bool-impl-elim :args (@t75 @t85)) % 1.84/2.05 (step @p205 :rule cong :premises (@p204) :args (@t86)) % 1.84/2.05 (step @p206 :rule refl :args (@t72)) % 1.84/2.05 (step @p207 :rule cong :premises (@p206 @p205) :args (@t87)) % 1.84/2.05 (step @p208 :rule cong :premises (@p207) :args (@t88)) % 1.84/2.05 (step @p209 :rule trans :premises (@p208 @p203)) % 1.84/2.05 (step @p210 :rule eq_resolve :premises (@p69 @p209)) % 1.84/2.05 (step @p211 :rule instantiate :premises (@p210) :args ((@list tptp.xc tptp.slcrc0))) % 1.84/2.05 (step @p212 :rule true_intro :premises (@p79)) % 1.84/2.05 (step @p213 :rule refl :args (tptp.xS)) % 1.84/2.05 (step @p214 :rule cong :premises (@p213 @p78) :args (@t98)) % 1.84/2.05 (step @p215 :rule and_elim :premises (@p76) :args (1)) % 1.84/2.05 (step @p216 :rule trans :premises (@p215 @p214)) % 1.84/2.05 (step @p217 :rule refl :args (tptp.slcrc0)) % 1.84/2.05 (step @p218 :rule cong :premises (@p217 @p216) :args (@t182)) % 1.84/2.05 (step @p219 :rule trans :premises (@p218 @p212)) % 1.84/2.05 (step @p220 :rule true_elim :premises (@p219)) % 1.84/2.05 (step @p221 :rule and_elim :premises (@p76) :args (0)) % 1.84/2.05 (step @p222 :rule cnf_or_pos :args (@t186)) % 1.84/2.05 (step @p223 :rule reordering :premises (@p222) :args ((or @t185 @t184 @t183 (not @t186)))) % 1.84/2.05 (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p220 @p211) :args (@t183 (@list false false false) (@list @t99 @t182 @t186))) % 1.84/2.05 (step @p225 :rule cnf_or_pos :args (@t189)) % 1.84/2.05 (step @p226 :rule reordering :premises (@p225) :args ((or @t188 @t187 (not @t189)))) % 1.84/2.05 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p188) :args (@t187 @t169 (@list @t183 @t189))) % 1.84/2.05 (step @p228 :rule bool-impl-elim :args (@t2 @t29)) % 1.84/2.05 (step @p229 :rule cong :premises (@p228) :args (@t30)) % 1.84/2.05 (step @p230 :rule eq_resolve :premises (@p12 @p229)) % 1.84/2.05 (step @p231 :rule instantiate :premises (@p230) :args ((@list tptp.xS))) % 1.84/2.05 (step @p232 :rule instantiate :premises (@p175) :args ((@list tptp.szNzAzT0 tptp.xS))) % 1.84/2.05 (step @p233 :rule and_elim :premises (@p23) :args (0)) % 1.84/2.05 (step @p234 :rule cnf_or_pos :args (@t194)) % 1.84/2.05 (step @p235 :rule reordering :premises (@p234) :args ((or @t193 @t192 (not @t194)))) % 1.84/2.05 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p232) :args (@t192 @t169 (@list @t51 @t194))) % 1.84/2.05 (step @p237 :rule and_elim :premises (@p75) :args (0)) % 1.84/2.05 (step @p238 :rule cnf_equiv_pos1 :args (@t192)) % 1.84/2.05 (step @p239 :rule reordering :premises (@p238) :args ((or (not @t94) @t191 (not @t192)))) % 1.84/2.05 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p236) :args (@t191 @t169 (@list @t94 @t192))) % 1.84/2.05 (step @p241 :rule cnf_and_pos :args (@t191 0)) % 1.84/2.05 (step @p242 :rule reordering :premises (@p241) :args ((or @t190 (not @t191)))) % 1.84/2.05 (step @p243 :rule chain_m_resolution :premises (@p242 @p240) :args (@t190 @t125 (@list @t191))) % 1.84/2.05 (step @p244 :rule cnf_or_pos :args (@t197)) % 1.84/2.05 (step @p245 :rule reordering :premises (@p244) :args ((or @t196 @t195 (not @t197)))) % 1.84/2.05 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p231) :args (@t195 @t169 (@list @t190 @t197))) % 1.84/2.05 (step @p247 :rule and_elim :premises (@p75) :args (1)) % 1.84/2.05 (step @p248 :rule cnf_or_pos :args (@t202)) % 1.84/2.05 (step @p249 :rule reordering :premises (@p248) :args ((or @t199 @t200 @t201 @t198 (not @t202)))) % 1.84/2.05 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p246 @p227 @p151) :args (@t198 (@list false false false false) (@list @t93 @t195 @t187 @t202))) % 1.84/2.05 (step @p251 :rule skolemize :premises (@p250)) % 1.84/2.05 (step @p252 :rule cnf_or_neg :args (@t205 1)) % 1.84/2.05 (step @p253 :rule chain_m_resolution :premises (@p252 @p251) :args ((not @t123) @t206 @t207)) % 1.84/2.05 (step @p254 :rule cnf_or_pos :args (@t124)) % 1.84/2.05 (step @p255 :rule reordering :premises (@p254) :args ((or @t123 @t120 (not @t124)))) % 1.84/2.05 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p98) :args (@t120 (@list true false) (@list @t123 @t124))) % 1.84/2.05 (step @p257 :rule false_intro :premises (@p256)) % 1.84/2.05 (step @p258 :rule refl :args (@t118)) % 1.84/2.05 (step @p259 :rule cong :premises (@p258 @p214) :args (@t203)) % 1.84/2.06 (step @p260 :rule bool-double-not-elim :args (@t203)) % 1.84/2.06 (step @p261 :rule refl :args (@t205)) % 1.84/2.06 (step @p262 :rule nary_cong :premises (@p261 @p260) :args ((or @t205 (not @t204)))) % 1.84/2.06 (step @p263 :rule cnf_or_neg :args (@t205 0)) % 1.84/2.06 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 1.84/2.06 (step @p265 :rule reordering :premises (@p264) :args ((or @t203 @t205))) % 1.84/2.06 (step @p266 :rule chain_m_resolution :premises (@p265 @p251) :args (@t203 @t206 @t207)) % 1.84/2.06 (step @p267 :rule true_intro :premises (@p266)) % 1.84/2.06 (step @p268 :rule symm :premises (@p267)) % 1.84/2.06 (step @p269 :rule trans :premises (@p268 @p259 @p257)) % 1.84/2.06 (step @p270 false :rule eq_resolve :premises (@p269 @p83)) % 1.84/2.06 ) % 1.84/2.06 % SZS output end Proof % 1.84/2.06 % cvc5 exiting %------------------------------------------------------------------------------