%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM599+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 : n002.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 08:39:58 AM UTC 2026 % Result : Theorem 1.86s 2.11s % Output : Proof 1.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM599+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 11:34:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 1.86/2.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.86/2.11 % SZS status Theorem % 1.86/2.11 % SZS output start Proof % 1.86/2.11 ( % 1.86/2.11 (declare-sort $$unsorted 0) % 1.86/2.11 (declare-const tptp.xe $$unsorted) % 1.86/2.11 (declare-const tptp.xC $$unsorted) % 1.86/2.11 (declare-const tptp.xN $$unsorted) % 1.86/2.11 (declare-const tptp.sz00 $$unsorted) % 1.86/2.11 (declare-const tptp.xc $$unsorted) % 1.86/2.11 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 1.86/2.11 (declare-const tptp.szNzAzT0 $$unsorted) % 1.86/2.11 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 1.86/2.11 (declare-const tptp.xd $$unsorted) % 1.86/2.11 (declare-const tptp.xk $$unsorted) % 1.86/2.11 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 1.86/2.11 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 1.86/2.11 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 1.86/2.11 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 1.86/2.11 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 1.86/2.11 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 1.86/2.11 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 1.86/2.11 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.xK $$unsorted) % 1.86/2.11 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.xT $$unsorted) % 1.86/2.11 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.xO $$unsorted) % 1.86/2.11 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.xS $$unsorted) % 1.86/2.11 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.slcrc0 $$unsorted) % 1.86/2.11 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.11 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.11 (define @t1 () (@var "W0" $$unsorted)) % 1.86/2.11 (define @t2 () (tptp.aSet0 @t1)) % 1.86/2.11 (define @t3 () (@list @t1)) % 1.86/2.11 (define @t4 () (tptp.aElement0 @t1)) % 1.86/2.11 (define @t5 () (@var "W1" $$unsorted)) % 1.86/2.11 (define @t6 () (tptp.aElement0 @t5)) % 1.86/2.11 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 1.86/2.11 (define @t8 () (@list @t5)) % 1.86/2.11 (define @t9 () (tptp.isFinite0 @t1)) % 1.86/2.11 (define @t10 () (= @t1 tptp.slcrc0)) % 1.86/2.11 (define @t11 () (tptp.isCountable0 @t1)) % 1.86/2.11 (define @t12 () (not @t9)) % 1.86/2.11 (define @t13 () (and @t2 @t11)) % 1.86/2.11 (define @t14 () (not @t10)) % 1.86/2.11 (define @t15 () (@var "W2" $$unsorted)) % 1.86/2.11 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 1.86/2.11 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 1.86/2.11 (define @t18 () (@list @t15)) % 1.86/2.11 (define @t19 () (tptp.aSet0 @t5)) % 1.86/2.11 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 1.86/2.11 (define @t21 () (tptp.isFinite0 @t5)) % 1.86/2.11 (define @t22 () (and @t2 @t9)) % 1.86/2.11 (define @t23 () (= @t1 @t5)) % 1.86/2.11 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 1.86/2.11 (define @t25 () (@list @t1 @t5)) % 1.86/2.11 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 1.86/2.11 (define @t27 () (tptp.aSet0 @t15)) % 1.86/2.11 (define @t28 () (@list @t1 @t5 @t15)) % 1.86/2.11 (define @t29 () (@var "W3" $$unsorted)) % 1.86/2.11 (define @t30 () (= @t29 @t5)) % 1.86/2.11 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 1.86/2.11 (define @t32 () (tptp.aElement0 @t29)) % 1.86/2.11 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 1.86/2.11 (define @t34 () (@list @t29)) % 1.86/2.11 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 1.86/2.11 (define @t36 () (and @t2 @t6)) % 1.86/2.11 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 1.86/2.11 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 1.86/2.11 (define @t39 () (tptp.isCountable0 @t5)) % 1.86/2.11 (define @t40 () (and @t19 @t39)) % 1.86/2.11 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 1.86/2.11 (define @t42 () (and @t19 @t21)) % 1.86/2.11 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 1.86/2.11 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 1.86/2.11 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 1.86/2.11 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 1.86/2.11 (define @t47 () (and @t44 @t46)) % 1.86/2.11 (define @t48 () (= @t1 tptp.sz00)) % 1.86/2.11 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 1.86/2.11 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 1.86/2.11 (define @t51 () (tptp.sdtlseqdt0 @t5 @t15)) % 1.86/2.11 (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 1.86/2.11 (define @t53 () (tptp.sbrdtbr0 @t1)) % 1.86/2.11 (define @t54 () (and @t2 @t46)) % 1.86/2.11 (define @t55 () (tptp.szmzizndt0 @t1)) % 1.86/2.11 (define @t56 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 1.86/2.11 (define @t57 () (tptp.szmzizndt0 @t5)) % 1.86/2.11 (define @t58 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 1.86/2.11 (define @t59 () (tptp.slbdtrb0 @t1)) % 1.86/2.11 (define @t60 () (tptp.slbdtrb0 @t5)) % 1.86/2.11 (define @t61 () (tptp.aSubsetOf0 @t29 @t1)) % 1.86/2.11 (define @t62 () (tptp.slbdtsldtrb0 @t1 @t5)) % 1.86/2.11 (define @t63 () (tptp.slbdtsldtrb0 @t5 @t1)) % 1.86/2.11 (define @t64 () (tptp.aFunction0 @t1)) % 1.86/2.11 (define @t65 () (tptp.szDzozmdt0 @t1)) % 1.86/2.11 (define @t66 () (tptp.sdtlpdtrp0 @t1 @t5)) % 1.86/2.11 (define @t67 () (tptp.aElementOf0 @t5 @t65)) % 1.86/2.11 (define @t68 () (tptp.sdtlpdtrp0 @t1 @t29)) % 1.86/2.11 (define @t69 () (tptp.aElementOf0 @t29 @t65)) % 1.86/2.11 (define @t70 () (tptp.sdtlbdtrb0 @t1 @t5)) % 1.86/2.11 (define @t71 () (and @t64 @t6)) % 1.86/2.11 (define @t72 () (@var "W4" $$unsorted)) % 1.86/2.11 (define @t73 () (@list @t72)) % 1.86/2.11 (define @t74 () (tptp.sdtlcdtrc0 @t1 @t5)) % 1.86/2.11 (define @t75 () (tptp.aSubsetOf0 @t5 @t65)) % 1.86/2.11 (define @t76 () (tptp.sdtlcdtrc0 @t1 @t65)) % 1.86/2.11 (define @t77 () (tptp.szDzozmdt0 @t15)) % 1.86/2.11 (define @t78 () (tptp.aFunction0 @t15)) % 1.86/2.11 (define @t79 () (tptp.isCountable0 @t74)) % 1.86/2.11 (define @t80 () (tptp.sdtlpdtrp0 @t1 @t15)) % 1.86/2.11 (define @t81 () (not (= @t80 @t68))) % 1.86/2.11 (define @t82 () (= @t15 @t29)) % 1.86/2.11 (define @t83 () (not @t82)) % 1.86/2.11 (define @t84 () (tptp.aElementOf0 @t15 @t65)) % 1.86/2.11 (define @t85 () (and @t84 @t69 @t83)) % 1.86/2.11 (define @t86 () (=> @t85 @t81)) % 1.86/2.11 (define @t87 () (@list @t15 @t29)) % 1.86/2.11 (define @t88 () (forall @t87 @t86)) % 1.86/2.11 (define @t89 () (=> @t88 @t79)) % 1.86/2.11 (define @t90 () (and @t75 @t39)) % 1.86/2.11 (define @t91 () (=> @t90 @t89)) % 1.86/2.11 (define @t92 () (forall @t8 @t91)) % 1.86/2.11 (define @t93 () (=> @t64 @t92)) % 1.86/2.11 (define @t94 () (forall @t3 @t93)) % 1.86/2.11 (define @t95 () (tptp.szDzizrdt0 @t1)) % 1.86/2.11 (define @t96 () (tptp.szDzozmdt0 tptp.xc)) % 1.86/2.11 (define @t97 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 1.86/2.11 (define @t98 () (@var "W5" $$unsorted)) % 1.86/2.11 (define @t99 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 1.86/2.11 (define @t100 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 1.86/2.11 (define @t101 () (tptp.szmzizndt0 @t100)) % 1.86/2.11 (define @t102 () (tptp.sdtmndt0 @t100 @t101)) % 1.86/2.11 (define @t103 () (and (tptp.aSubsetOf0 @t100 tptp.szNzAzT0) (tptp.isCountable0 @t100))) % 1.86/2.11 (define @t104 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 1.86/2.11 (define @t105 () (not (= @t101 (tptp.szmzizndt0 @t104)))) % 1.86/2.11 (define @t106 () (not @t23)) % 1.86/2.11 (define @t107 () (and @t44 @t46 @t106)) % 1.86/2.11 (define @t108 () (forall @t25 (=> @t107 @t105))) % 1.86/2.11 (define @t109 () (tptp.sdtpldt0 @t5 @t101)) % 1.86/2.11 (define @t110 () (tptp.slbdtsldtrb0 @t102 tptp.xk)) % 1.86/2.11 (define @t111 () (and @t19 (tptp.aElementOf0 @t5 @t110))) % 1.86/2.11 (define @t112 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 1.86/2.11 (define @t113 () (tptp.sdtlpdtrp0 @t112 @t5)) % 1.86/2.11 (define @t114 () (tptp.szDzozmdt0 @t112)) % 1.86/2.11 (define @t115 () (tptp.aElementOf0 @t5 tptp.xT)) % 1.86/2.11 (define @t116 () (tptp.slbdtsldtrb0 @t99 tptp.xk)) % 1.86/2.11 (define @t117 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 1.86/2.11 (define @t118 () (=> @t44 (= @t117 @t101))) % 1.86/2.11 (define @t119 () (forall @t3 @t118)) % 1.86/2.11 (define @t120 () (tptp.szDzozmdt0 tptp.xe)) % 1.86/2.11 (define @t121 () (tptp.aFunction0 tptp.xe)) % 1.86/2.11 (define @t122 () (tptp.szDzozmdt0 tptp.xd)) % 1.86/2.11 (define @t123 () (tptp.szDzizrdt0 tptp.xd)) % 1.86/2.11 (define @t124 () (tptp.sdtlbdtrb0 tptp.xd @t123)) % 1.86/2.11 (define @t125 () (tptp.isCountable0 @t124)) % 1.86/2.11 (define @t126 () (tptp.sdtlcdtrc0 tptp.xe @t124)) % 1.86/2.11 (define @t127 () (not @t46)) % 1.86/2.11 (define @t128 () (not @t44)) % 1.86/2.11 (define @t129 () (not @t106)) % 1.86/2.11 (define @t130 () (or @t128 @t127 @t129)) % 1.86/2.11 (define @t131 () (forall @t87 (or (not (tptp.aElementOf0 @t15 @t120)) (not (tptp.aElementOf0 @t29 @t120)) @t82 (not (= (tptp.sdtlpdtrp0 tptp.xe @t29) (tptp.sdtlpdtrp0 tptp.xe @t15)))))) % 1.86/2.11 (define @t132 () (@quantifiers_skolemize @t131 1)) % 1.86/2.11 (define @t133 () (@quantifiers_skolemize @t131 0)) % 1.86/2.11 (define @t134 () (@var "BOUND_VARIABLE_9193" $$unsorted)) % 1.86/2.11 (define @t135 () (tptp.isCountable0 (tptp.sdtlcdtrc0 @t1 @t134))) % 1.86/2.11 (define @t136 () (not (tptp.isCountable0 @t134))) % 1.86/2.11 (define @t137 () (not (tptp.aSubsetOf0 @t134 @t65))) % 1.86/2.11 (define @t138 () (not (= @t68 @t80))) % 1.86/2.11 (define @t139 () (not @t69)) % 1.86/2.11 (define @t140 () (not @t84)) % 1.86/2.11 (define @t141 () (or @t140 @t139 @t82 @t138)) % 1.86/2.11 (define @t142 () (forall @t87 @t141)) % 1.86/2.11 (define @t143 () (not @t142)) % 1.86/2.11 (define @t144 () (not @t64)) % 1.86/2.11 (define @t145 () (or @t137 @t136 @t135)) % 1.86/2.11 (define @t146 () (or @t144 @t143 @t145)) % 1.86/2.11 (define @t147 () (forall (@list @t1 @t134) @t146)) % 1.86/2.11 (define @t148 () (@list @t134)) % 1.86/2.11 (define @t149 () (forall @t148 @t146)) % 1.86/2.11 (define @t150 () (forall @t148 @t145)) % 1.86/2.11 (define @t151 () (or @t144 @t143 @t150)) % 1.86/2.11 (define @t152 () (not @t39)) % 1.86/2.11 (define @t153 () (not @t75)) % 1.86/2.11 (define @t154 () (or @t153 @t152 @t79)) % 1.86/2.11 (define @t155 () (forall @t8 @t154)) % 1.86/2.11 (define @t156 () (or @t144 @t143 @t155)) % 1.86/2.11 (define @t157 () (or @t143 @t155)) % 1.86/2.11 (define @t158 () (or @t143 @t154)) % 1.86/2.11 (define @t159 () (or @t153 @t152 @t143 @t79)) % 1.86/2.11 (define @t160 () (=> @t142 @t79)) % 1.86/2.11 (define @t161 () (not @t83)) % 1.86/2.11 (define @t162 () (or @t140 @t139 @t161)) % 1.86/2.11 (define @t163 () (tptp.isCountable0 @t126)) % 1.86/2.11 (define @t164 () (tptp.aSubsetOf0 @t124 @t120)) % 1.86/2.11 (define @t165 () (not @t125)) % 1.86/2.11 (define @t166 () (not @t164)) % 1.86/2.11 (define @t167 () (not @t131)) % 1.86/2.11 (define @t168 () (not @t121)) % 1.86/2.11 (define @t169 () (or @t168 @t167 @t166 @t165 @t163)) % 1.86/2.11 (define @t170 () (tptp.aElementOf0 @t132 @t120)) % 1.86/2.11 (define @t171 () (tptp.sdtlpdtrp0 tptp.xe @t133)) % 1.86/2.11 (define @t172 () (tptp.sdtlpdtrp0 tptp.xe @t132)) % 1.86/2.11 (define @t173 () (= @t172 @t171)) % 1.86/2.11 (define @t174 () (not @t173)) % 1.86/2.11 (define @t175 () (= @t133 @t132)) % 1.86/2.11 (define @t176 () (not @t170)) % 1.86/2.11 (define @t177 () (tptp.aElementOf0 @t133 @t120)) % 1.86/2.11 (define @t178 () (not @t177)) % 1.86/2.11 (define @t179 () (or @t178 @t176 @t175 @t174)) % 1.86/2.11 (define @t180 () (@list true)) % 1.86/2.11 (define @t181 () (@list @t179)) % 1.86/2.11 (define @t182 () (tptp.aElementOf0 @t132 tptp.szNzAzT0)) % 1.86/2.11 (define @t183 () (tptp.aElementOf0 @t133 tptp.szNzAzT0)) % 1.86/2.11 (define @t184 () (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN @t132))) % 1.86/2.11 (define @t185 () (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN @t133))) % 1.86/2.11 (define @t186 () (not (= @t185 @t184))) % 1.86/2.11 (define @t187 () (not @t182)) % 1.86/2.11 (define @t188 () (not @t183)) % 1.86/2.11 (define @t189 () (or @t188 @t187 @t175 @t186)) % 1.86/2.11 (define @t190 () (= @t101 @t117)) % 1.86/2.11 (define @t191 () (or @t187 (= @t184 @t172))) % 1.86/2.11 (define @t192 () (forall @t3 (or @t128 @t190))) % 1.86/2.11 (define @t193 () (= @t172 @t184)) % 1.86/2.11 (define @t194 () (or @t187 @t193)) % 1.86/2.11 (define @t195 () (@list false)) % 1.86/2.11 (define @t196 () (@list @t192)) % 1.86/2.11 (define @t197 () (@list false false)) % 1.86/2.11 (define @t198 () (or @t188 (= @t185 @t171))) % 1.86/2.11 (define @t199 () (= @t171 @t185)) % 1.86/2.11 (define @t200 () (or @t188 @t199)) % 1.86/2.11 (assume @p1 (forall @t3 (=> @t2 true))) % 1.86/2.11 (assume @p2 (forall @t3 (=> @t4 true))) % 1.86/2.11 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 1.86/2.11 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 1.86/2.11 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 1.86/2.11 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 1.86/2.11 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 1.86/2.11 (assume @p8 (forall @t3 (=> @t13 @t12))) % 1.86/2.11 (assume @p9 (forall @t3 (=> @t13 @t14))) % 1.86/2.11 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 1.86/2.11 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 1.86/2.11 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 1.86/2.11 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 1.86/2.11 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 1.86/2.11 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 1.86/2.11 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 1.86/2.11 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 1.86/2.11 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 1.86/2.11 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 1.86/2.11 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 1.86/2.11 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 1.86/2.11 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 1.86/2.11 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 1.86/2.11 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 1.86/2.11 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 1.86/2.11 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 1.86/2.11 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 1.86/2.11 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 1.86/2.11 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 1.86/2.11 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 1.86/2.11 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 1.86/2.11 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 1.86/2.11 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 1.86/2.11 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 1.86/2.11 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23)))) % 1.86/2.11 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15))))) % 1.86/2.11 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 1.86/2.11 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 1.86/2.11 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 1.86/2.11 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53)))) % 1.86/2.11 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9)))) % 1.86/2.11 (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10)))) % 1.86/2.11 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53)))))))) % 1.86/2.11 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53)))))) % 1.86/2.11 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t53)))))) % 1.86/2.11 (assume @p46 (forall @t25 (=> @t54 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 1.86/2.11 (assume @p47 (forall @t3 (=> (and @t56 @t14) (forall @t8 (= (= @t5 @t55) (and @t7 (forall @t18 (=> @t16 @t51)))))))) % 1.86/2.11 (assume @p48 (forall @t3 (=> (and @t56 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 1.86/2.11 (assume @p49 (forall @t25 (=> (and @t56 @t58 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t55 @t5) (tptp.aElementOf0 @t57 @t1)) (= @t55 @t57))))) % 1.86/2.11 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t59) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 1.86/2.11 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t59)))) % 1.86/2.11 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 1.86/2.11 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t60) @t23))))) % 1.86/2.11 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t59 @t60))))) % 1.86/2.11 (assume @p55 (forall @t3 (=> (and @t56 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t60)))))) % 1.86/2.11 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t59) @t1)))) % 1.86/2.11 (assume @p57 (forall @t25 (=> @t54 (forall @t18 (= (= @t15 @t62) (and @t27 (forall @t34 (= @t33 (and @t61 (= (tptp.sbrdtbr0 @t29) @t5)))))))))) % 1.86/2.11 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t62)))))) % 1.86/2.11 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t62 tptp.slcrc0))))))) % 1.86/2.11 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t62)))))) % 1.86/2.11 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t63 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t63 tptp.slcrc0))) @t26)))))) % 1.86/2.11 (assume @p62 (forall @t25 (=> @t54 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t62) (tptp.isFinite0 @t15)) (exists @t34 (and @t61 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 1.86/2.11 (assume @p63 (forall @t3 (=> @t64 true))) % 1.86/2.11 (assume @p64 (forall @t3 (=> @t64 (tptp.aSet0 @t65)))) % 1.86/2.11 (assume @p65 (forall @t3 (=> @t64 (forall @t8 (=> @t67 (tptp.aElement0 @t66)))))) % 1.86/2.11 (assume @p66 (forall @t25 (=> @t71 (forall @t18 (= (= @t15 @t70) (and @t27 (forall @t34 (= @t33 (and @t69 (= @t68 @t5)))))))))) % 1.86/2.11 (assume @p67 (forall @t25 (=> @t71 (tptp.aSubsetOf0 @t70 @t65)))) % 1.86/2.11 (assume @p68 (forall @t3 (=> @t64 (forall @t8 (=> @t75 (forall @t18 (= (= @t15 @t74) (and @t27 (forall @t34 (= @t33 (exists @t73 (and (tptp.aElementOf0 @t72 @t5) (= (tptp.sdtlpdtrp0 @t1 @t72) @t29))))))))))))) % 1.86/2.11 (assume @p69 (forall @t3 (=> @t64 (forall @t8 (=> @t67 (tptp.aElementOf0 @t66 @t76)))))) % 1.86/2.11 (assume @p70 (forall @t3 (=> @t64 (forall @t8 (=> @t75 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t78 (= @t77 @t5) (forall @t34 (=> (tptp.aElementOf0 @t29 @t5) (= (tptp.sdtlpdtrp0 @t15 @t29) @t68))))))))))) % 1.86/2.11 (assume @p71 @t94) % 1.86/2.11 (assume @p72 (forall @t3 (=> @t64 (=> (and (tptp.isCountable0 @t65) (tptp.isFinite0 @t76)) (and (tptp.aElement0 @t95) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t95))))))) % 1.86/2.11 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 1.86/2.11 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 1.86/2.11 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 1.86/2.11 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t96 @t97) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t96) tptp.xT))) % 1.86/2.11 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and @t58 @t39) (forall @t18 (=> (and @t78 (= @t77 @t63) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t77) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and (tptp.aElementOf0 @t29 tptp.xT) (exists @t73 (and (tptp.aSubsetOf0 @t72 @t5) (tptp.isCountable0 @t72) (forall (@list @t98) (=> (tptp.aElementOf0 @t98 (tptp.slbdtsldtrb0 @t72 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t98) @t29))))))))))))))) % 1.86/2.11 (assume @p78 (not (= tptp.xK tptp.sz00))) % 1.86/2.11 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 1.86/2.11 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t44 (=> @t103 (and (tptp.aSubsetOf0 @t99 @t102) (tptp.isCountable0 @t99))))))) % 1.86/2.11 (assume @p81 (forall @t3 (=> @t44 @t103))) % 1.86/2.11 (assume @p82 (forall @t25 (=> @t47 (=> @t50 (tptp.aSubsetOf0 @t100 @t104))))) % 1.86/2.11 (assume @p83 @t108) % 1.86/2.11 (assume @p84 (forall @t3 (=> @t44 (forall @t8 (=> @t111 (tptp.aElementOf0 @t109 @t97)))))) % 1.86/2.11 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t44 (and (tptp.aFunction0 @t112) (= @t114 @t110) (forall @t8 (=> @t111 (= @t113 (tptp.sdtlpdtrp0 tptp.xc @t109))))))))) % 1.86/2.11 (assume @p86 (forall @t3 (=> @t44 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t112 @t114) tptp.xT)))) % 1.86/2.11 (assume @p87 (forall @t3 (=> @t44 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t102) @t39) (forall @t18 (=> (and @t27 (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t15 @t110)))))))) % 1.86/2.11 (assume @p88 (forall @t3 (=> @t44 (exists @t8 (and @t115 (exists @t18 (and (tptp.aSubsetOf0 @t15 @t102) (tptp.isCountable0 @t15) (forall @t34 (=> (and (tptp.aSet0 @t29) (tptp.aElementOf0 @t29 (tptp.slbdtsldtrb0 @t15 tptp.xk))) (= (tptp.sdtlpdtrp0 @t112 @t29) @t5)))))))))) % 1.86/2.11 (assume @p89 (forall @t3 (=> @t44 (exists @t8 (and @t115 (forall @t18 (=> (and @t27 (tptp.aElementOf0 @t15 @t116)) (= (tptp.sdtlpdtrp0 @t112 @t15) @t5)))))))) % 1.86/2.11 (assume @p90 (and @t121 (= @t120 tptp.szNzAzT0) @t119)) % 1.86/2.11 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t122 tptp.szNzAzT0) (forall @t3 (=> @t44 (forall @t8 (=> (and @t19 (tptp.aElementOf0 @t5 @t116)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t113))))))) % 1.86/2.11 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t122) tptp.xT)) % 1.86/2.11 (assume @p93 (and (tptp.aElementOf0 @t123 tptp.xT) @t125)) % 1.86/2.11 (assume @p94 (and (tptp.aSet0 tptp.xO) (= tptp.xO @t126))) % 1.86/2.11 (assume @p95 (and (tptp.aSubsetOf0 @t124 tptp.szNzAzT0) @t125)) % 1.86/2.11 (assume @p96 (not (tptp.isCountable0 tptp.xO))) % 1.86/2.11 (assume @p97 true) % 1.86/2.11 (step @p98 :rule evaluate :args ((= true false))) % 1.86/2.11 (step @p99 :rule aci_norm :args ((= (or (or @t128 @t127 @t23) @t105) (or @t128 @t127 @t23 @t105)))) % 1.86/2.11 (step @p100 :rule refl :args (@t105)) % 1.86/2.11 (step @p101 :rule bool-double-not-elim :args (@t23)) % 1.86/2.11 (step @p102 :rule refl :args (@t127)) % 1.86/2.11 (step @p103 :rule refl :args (@t128)) % 1.86/2.11 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t130)) % 1.86/2.11 (step @p105 :rule aci_norm :args ((= (or @t128 (or @t127 @t129)) @t130))) % 1.86/2.11 (step @p106 :rule trans :premises (@p105 @p104)) % 1.86/2.11 (step @p107 :rule bool-and-de-morgan :args (@t46 @t106 true)) % 1.86/2.11 (step @p108 :rule nary_cong :premises (@p103 @p107) :args ((or @t128 (not (and @t46 @t106))))) % 1.86/2.11 (step @p109 :rule bool-and-de-morgan :args (@t44 @t46 (and @t106))) % 1.86/2.11 (step @p110 :rule trans :premises (@p109 @p108)) % 1.86/2.11 (step @p111 :rule trans :premises (@p110 @p106)) % 1.86/2.11 (step @p112 :rule nary_cong :premises (@p111 @p100) :args ((or (not @t107) @t105))) % 1.86/2.11 (step @p113 :rule trans :premises (@p112 @p99)) % 1.86/2.11 (step @p114 :rule bool-impl-elim :args (@t107 @t105)) % 1.86/2.11 (step @p115 :rule trans :premises (@p114 @p113)) % 1.86/2.11 (step @p116 :rule cong :premises (@p115) :args (@t108)) % 1.86/2.11 (step @p117 :rule eq_resolve :premises (@p83 @p116)) % 1.86/2.11 (step @p118 :rule instantiate :premises (@p117) :args ((@list @t133 @t132))) % 1.86/2.11 (step @p119 :rule aci_norm :args ((= @t146 (or @t144 @t143 @t137 @t136 @t135)))) % 1.86/2.11 (step @p120 :rule cong :premises (@p119) :args (@t147)) % 1.86/2.11 (step @p121 :rule quant-merge-prenex :args ((= (forall @t3 @t149) @t147))) % 1.86/2.11 (step @p122 :rule alpha_equiv :args (@t150 (@list @t134) (@list @t5))) % 1.86/2.11 (step @p123 :rule refl :args (@t143)) % 1.86/2.11 (step @p124 :rule refl :args (@t144)) % 1.86/2.11 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122) :args (@t151)) % 1.86/2.11 (step @p126 :rule quant-miniscope-or :args ((= @t149 @t151))) % 1.86/2.11 (step @p127 :rule trans :premises (@p126 @p125)) % 1.86/2.11 (step @p128 :rule symm :premises (@p127)) % 1.86/2.11 (step @p129 :rule cong :premises (@p128) :args ((forall @t3 @t156))) % 1.86/2.11 (step @p130 :rule trans :premises (@p129 @p121)) % 1.86/2.11 (step @p131 :rule trans :premises (@p130 @p120)) % 1.86/2.11 (step @p132 :rule aci_norm :args ((= (or @t144 @t157) @t156))) % 1.86/2.11 (step @p133 :rule bool-impl-elim :args (@t64 @t157)) % 1.86/2.11 (step @p134 :rule trans :premises (@p133 @p132)) % 1.86/2.11 (step @p135 :rule cong :premises (@p134) :args ((forall @t3 (=> @t64 @t157)))) % 1.86/2.11 (step @p136 :rule trans :premises (@p135 @p131)) % 1.86/2.11 (step @p137 :rule quant-miniscope-or :args ((= (forall @t8 @t158) @t157))) % 1.86/2.11 (step @p138 :rule aci_norm :args ((= @t159 @t158))) % 1.86/2.11 (step @p139 :rule cong :premises (@p138) :args ((forall @t8 @t159))) % 1.86/2.11 (step @p140 :rule trans :premises (@p139 @p137)) % 1.86/2.11 (step @p141 :rule aci_norm :args ((= (or (or @t153 @t152) (or @t143 @t79)) @t159))) % 1.86/2.11 (step @p142 :rule bool-impl-elim :args (@t142 @t79)) % 1.86/2.11 (step @p143 :rule bool-and-de-morgan :args (@t75 @t39 true)) % 1.86/2.11 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or (not @t90) @t160))) % 1.86/2.11 (step @p145 :rule trans :premises (@p144 @p141)) % 1.86/2.11 (step @p146 :rule bool-impl-elim :args (@t90 @t160)) % 1.86/2.11 (step @p147 :rule trans :premises (@p146 @p145)) % 1.86/2.11 (step @p148 :rule cong :premises (@p147) :args ((forall @t8 (=> @t90 @t160)))) % 1.86/2.11 (step @p149 :rule trans :premises (@p148 @p140)) % 1.86/2.11 (step @p150 :rule refl :args (@t79)) % 1.86/2.11 (step @p151 :rule aci_norm :args ((= (or (or @t140 @t139 @t82) @t138) @t141))) % 1.86/2.11 (step @p152 :rule refl :args (@t138)) % 1.86/2.11 (step @p153 :rule bool-double-not-elim :args (@t82)) % 1.86/2.11 (step @p154 :rule refl :args (@t139)) % 1.86/2.11 (step @p155 :rule refl :args (@t140)) % 1.86/2.11 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153) :args (@t162)) % 1.86/2.11 (step @p157 :rule aci_norm :args ((= (or @t140 (or @t139 @t161)) @t162))) % 1.86/2.11 (step @p158 :rule trans :premises (@p157 @p156)) % 1.86/2.11 (step @p159 :rule bool-and-de-morgan :args (@t69 @t83 true)) % 1.86/2.11 (step @p160 :rule nary_cong :premises (@p155 @p159) :args ((or @t140 (not (and @t69 @t83))))) % 1.86/2.11 (step @p161 :rule bool-and-de-morgan :args (@t84 @t69 (and @t83))) % 1.86/2.11 (step @p162 :rule trans :premises (@p161 @p160)) % 1.86/2.11 (step @p163 :rule trans :premises (@p162 @p158)) % 1.86/2.11 (step @p164 :rule nary_cong :premises (@p163 @p152) :args ((or (not @t85) @t138))) % 1.86/2.11 (step @p165 :rule trans :premises (@p164 @p151)) % 1.86/2.11 (step @p166 :rule bool-impl-elim :args (@t85 @t138)) % 1.86/2.11 (step @p167 :rule trans :premises (@p166 @p165)) % 1.86/2.11 (step @p168 :rule cong :premises (@p167) :args ((forall @t87 (=> @t85 @t138)))) % 1.86/2.11 (step @p169 :rule eq-symm :args (@t80 @t68)) % 1.86/2.11 (step @p170 :rule cong :premises (@p169) :args (@t81)) % 1.86/2.11 (step @p171 :rule refl :args (@t85)) % 1.86/2.11 (step @p172 :rule cong :premises (@p171 @p170) :args (@t86)) % 1.86/2.11 (step @p173 :rule cong :premises (@p172) :args (@t88)) % 1.86/2.11 (step @p174 :rule trans :premises (@p173 @p168)) % 1.86/2.11 (step @p175 :rule cong :premises (@p174 @p150) :args (@t89)) % 1.86/2.11 (step @p176 :rule refl :args (@t90)) % 1.86/2.11 (step @p177 :rule cong :premises (@p176 @p175) :args (@t91)) % 1.86/2.11 (step @p178 :rule cong :premises (@p177) :args (@t92)) % 1.86/2.11 (step @p179 :rule trans :premises (@p178 @p149)) % 1.86/2.11 (step @p180 :rule refl :args (@t64)) % 1.86/2.11 (step @p181 :rule cong :premises (@p180 @p179) :args (@t93)) % 1.86/2.11 (step @p182 :rule cong :premises (@p181) :args (@t94)) % 1.86/2.11 (step @p183 :rule trans :premises (@p182 @p136)) % 1.86/2.11 (step @p184 :rule eq_resolve :premises (@p71 @p183)) % 1.86/2.11 (step @p185 :rule instantiate :premises (@p184) :args ((@list tptp.xe @t124))) % 1.86/2.11 (step @p186 :rule false_intro :premises (@p96)) % 1.86/2.11 (step @p187 :rule and_elim :premises (@p94) :args (1)) % 1.86/2.11 (step @p188 :rule symm :premises (@p187)) % 1.86/2.11 (step @p189 :rule cong :premises (@p188) :args (@t163)) % 1.86/2.11 (step @p190 :rule trans :premises (@p189 @p186)) % 1.86/2.11 (step @p191 :rule false_elim :premises (@p190)) % 1.86/2.11 (step @p192 :rule and_elim :premises (@p95) :args (0)) % 1.86/2.11 (step @p193 :rule true_intro :premises (@p192)) % 1.86/2.11 (step @p194 :rule and_elim :premises (@p90) :args (1)) % 1.86/2.11 (step @p195 :rule refl :args (@t124)) % 1.86/2.11 (step @p196 :rule cong :premises (@p195 @p194) :args (@t164)) % 1.86/2.11 (step @p197 :rule trans :premises (@p196 @p193)) % 1.86/2.11 (step @p198 :rule true_elim :premises (@p197)) % 1.86/2.11 (step @p199 :rule and_elim :premises (@p93) :args (1)) % 1.86/2.11 (step @p200 :rule and_elim :premises (@p90) :args (0)) % 1.86/2.11 (step @p201 :rule cnf_or_pos :args (@t169)) % 1.86/2.11 (step @p202 :rule reordering :premises (@p201) :args ((or @t168 @t165 @t167 @t166 @t163 (not @t169)))) % 1.86/2.11 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p199 @p198 @p191 @p185) :args (@t167 (@list false false false true false) (@list @t121 @t125 @t164 @t163 @t169))) % 1.86/2.11 (step @p204 :rule skolemize :premises (@p203)) % 1.86/2.11 (step @p205 :rule bool-double-not-elim :args (@t170)) % 1.86/2.11 (step @p206 :rule refl :args (@t179)) % 1.86/2.11 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or @t179 (not @t176)))) % 1.86/2.11 (step @p208 :rule cnf_or_neg :args (@t179 1)) % 1.86/2.11 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 1.86/2.11 (step @p210 :rule reordering :premises (@p209) :args ((or @t170 @t179))) % 1.86/2.11 (step @p211 :rule chain_m_resolution :premises (@p210 @p204) :args (@t170 @t180 @t181)) % 1.86/2.11 (step @p212 :rule true_intro :premises (@p211)) % 1.86/2.11 (step @p213 :rule symm :premises (@p194)) % 1.86/2.11 (step @p214 :rule refl :args (@t132)) % 1.86/2.11 (step @p215 :rule cong :premises (@p214 @p213) :args (@t182)) % 1.86/2.11 (step @p216 :rule trans :premises (@p215 @p212)) % 1.86/2.11 (step @p217 :rule true_elim :premises (@p216)) % 1.86/2.11 (step @p218 :rule bool-double-not-elim :args (@t177)) % 1.86/2.11 (step @p219 :rule nary_cong :premises (@p206 @p218) :args ((or @t179 (not @t178)))) % 1.86/2.11 (step @p220 :rule cnf_or_neg :args (@t179 0)) % 1.86/2.11 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 1.86/2.11 (step @p222 :rule reordering :premises (@p221) :args ((or @t177 @t179))) % 1.86/2.11 (step @p223 :rule chain_m_resolution :premises (@p222 @p204) :args (@t177 @t180 @t181)) % 1.86/2.11 (step @p224 :rule true_intro :premises (@p223)) % 1.86/2.11 (step @p225 :rule refl :args (@t133)) % 1.86/2.11 (step @p226 :rule cong :premises (@p225 @p213) :args (@t183)) % 1.86/2.11 (step @p227 :rule trans :premises (@p226 @p224)) % 1.86/2.11 (step @p228 :rule true_elim :premises (@p227)) % 1.86/2.11 (step @p229 :rule cnf_or_neg :args (@t179 2)) % 1.86/2.11 (step @p230 :rule chain_m_resolution :premises (@p229 @p204) :args ((not @t175) @t180 @t181)) % 1.86/2.11 (step @p231 :rule cnf_or_pos :args (@t189)) % 1.86/2.11 (step @p232 :rule reordering :premises (@p231) :args ((or @t175 @t188 @t187 @t186 (not @t189)))) % 1.86/2.11 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p228 @p217 @p118) :args (@t186 (@list true false false false) (@list @t175 @t183 @t182 @t189))) % 1.86/2.11 (step @p234 :rule false_intro :premises (@p233)) % 1.86/2.11 (step @p235 :rule bool-impl-elim :args (@t44 @t190)) % 1.86/2.11 (step @p236 :rule cong :premises (@p235) :args ((forall @t3 (=> @t44 @t190)))) % 1.86/2.11 (step @p237 :rule eq-symm :args (@t117 @t101)) % 1.86/2.11 (step @p238 :rule refl :args (@t44)) % 1.86/2.11 (step @p239 :rule cong :premises (@p238 @p237) :args (@t118)) % 1.86/2.11 (step @p240 :rule cong :premises (@p239) :args (@t119)) % 1.86/2.11 (step @p241 :rule trans :premises (@p240 @p236)) % 1.86/2.11 (step @p242 :rule and_elim :premises (@p90) :args (2)) % 1.86/2.11 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 1.86/2.11 (step @p244 :rule eq-symm :args (@t184 @t172)) % 1.86/2.11 (step @p245 :rule refl :args (@t187)) % 1.86/2.11 (step @p246 :rule nary_cong :premises (@p245 @p244) :args (@t191)) % 1.86/2.11 (step @p247 :rule refl :args (@t192)) % 1.86/2.11 (step @p248 :rule cong :premises (@p247 @p246) :args ((=> @t192 @t191))) % 1.86/2.11 (assume-push @p288 @t192) % 1.86/2.11 (step @p250 :rule instantiate :premises (@p243) :args ((@list @t132))) % 1.86/2.12 (step-pop @p289 :rule scope :premises (@p250)) % 1.86/2.12 (step @p251 :rule process_scope :premises (@p289) :args (@t191)) % 1.86/2.12 (step @p253 :rule eq_resolve :premises (@p251 @p248)) % 1.86/2.12 (step @p254 :rule implies_elim :premises (@p253)) % 1.86/2.12 (step @p255 :rule chain_m_resolution :premises (@p254 @p243) :args (@t194 @t195 @t196)) % 1.86/2.12 (step @p256 :rule cnf_or_pos :args (@t194)) % 1.86/2.12 (step @p257 :rule reordering :premises (@p256) :args ((or @t187 @t193 (not @t194)))) % 1.86/2.12 (step @p258 :rule chain_m_resolution :premises (@p257 @p217 @p255) :args (@t193 @t197 (@list @t182 @t194))) % 1.86/2.12 (step @p259 :rule bool-double-not-elim :args (@t173)) % 1.86/2.12 (step @p260 :rule nary_cong :premises (@p206 @p259) :args ((or @t179 (not @t174)))) % 1.86/2.12 (step @p261 :rule cnf_or_neg :args (@t179 3)) % 1.86/2.12 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 1.86/2.12 (step @p263 :rule reordering :premises (@p262) :args ((or @t173 @t179))) % 1.86/2.12 (step @p264 :rule chain_m_resolution :premises (@p263 @p204) :args (@t173 @t180 @t181)) % 1.86/2.12 (step @p265 :rule symm :premises (@p264)) % 1.86/2.12 (step @p266 :rule trans :premises (@p265 @p258)) % 1.86/2.12 (step @p267 :rule eq-symm :args (@t185 @t171)) % 1.86/2.12 (step @p268 :rule refl :args (@t188)) % 1.86/2.12 (step @p269 :rule nary_cong :premises (@p268 @p267) :args (@t198)) % 1.86/2.12 (step @p270 :rule cong :premises (@p247 @p269) :args ((=> @t192 @t198))) % 1.86/2.12 (assume-push @p290 @t192) % 1.86/2.12 (step @p272 :rule instantiate :premises (@p243) :args ((@list @t133))) % 1.86/2.12 (step-pop @p291 :rule scope :premises (@p272)) % 1.86/2.12 (step @p273 :rule process_scope :premises (@p291) :args (@t198)) % 1.86/2.12 (step @p275 :rule eq_resolve :premises (@p273 @p270)) % 1.86/2.12 (step @p276 :rule implies_elim :premises (@p275)) % 1.86/2.12 (step @p277 :rule chain_m_resolution :premises (@p276 @p243) :args (@t200 @t195 @t196)) % 1.86/2.12 (step @p278 :rule cnf_or_pos :args (@t200)) % 1.86/2.12 (step @p279 :rule reordering :premises (@p278) :args ((or @t188 @t199 (not @t200)))) % 1.86/2.12 (step @p280 :rule chain_m_resolution :premises (@p279 @p228 @p277) :args (@t199 @t197 (@list @t183 @t200))) % 1.86/2.12 (step @p281 :rule trans :premises (@p264 @p280)) % 1.86/2.12 (step @p282 :rule symm :premises (@p281)) % 1.86/2.12 (step @p283 :rule trans :premises (@p282 @p264 @p266)) % 1.86/2.12 (step @p284 :rule true_intro :premises (@p283)) % 1.86/2.12 (step @p285 :rule symm :premises (@p284)) % 1.86/2.12 (step @p286 :rule trans :premises (@p285 @p234)) % 1.86/2.12 (step @p287 false :rule eq_resolve :premises (@p286 @p98)) % 1.86/2.12 ) % 1.86/2.12 % SZS output end Proof % 1.86/2.12 % cvc5 exiting %------------------------------------------------------------------------------