%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM631+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 : n015.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 08:40:05 AM UTC 2026 % Result : Theorem 0.94s 1.15s % Output : Proof 0.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM631+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n015.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 11:38:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.94/1.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.94/1.15 % SZS status Theorem % 0.94/1.15 % SZS output start Proof % 0.94/1.15 ( % 0.94/1.15 (declare-sort $$unsorted 0) % 0.94/1.15 (declare-const tptp.xD $$unsorted) % 0.94/1.15 (declare-const tptp.xn $$unsorted) % 0.94/1.15 (declare-const tptp.xQ $$unsorted) % 0.94/1.15 (declare-const tptp.xN $$unsorted) % 0.94/1.15 (declare-const tptp.sz00 $$unsorted) % 0.94/1.15 (declare-const tptp.xC $$unsorted) % 0.94/1.15 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.szNzAzT0 $$unsorted) % 0.94/1.15 (declare-const tptp.xk $$unsorted) % 0.94/1.15 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.xd $$unsorted) % 0.94/1.15 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.xP $$unsorted) % 0.94/1.15 (declare-const tptp.xO $$unsorted) % 0.94/1.15 (declare-const tptp.xe $$unsorted) % 0.94/1.15 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.xK $$unsorted) % 0.94/1.15 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.xp $$unsorted) % 0.94/1.15 (declare-const tptp.xT $$unsorted) % 0.94/1.15 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.xS $$unsorted) % 0.94/1.15 (declare-const tptp.xc $$unsorted) % 0.94/1.15 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.slcrc0 $$unsorted) % 0.94/1.15 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (define @t1 () (@var "W0" $$unsorted)) % 0.94/1.15 (define @t2 () (tptp.aSet0 @t1)) % 0.94/1.15 (define @t3 () (@list @t1)) % 0.94/1.15 (define @t4 () (tptp.aElement0 @t1)) % 0.94/1.15 (define @t5 () (@var "W1" $$unsorted)) % 0.94/1.15 (define @t6 () (tptp.aElement0 @t5)) % 0.94/1.15 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.94/1.15 (define @t8 () (@list @t5)) % 0.94/1.15 (define @t9 () (tptp.isFinite0 @t1)) % 0.94/1.15 (define @t10 () (= @t1 tptp.slcrc0)) % 0.94/1.15 (define @t11 () (tptp.isCountable0 @t1)) % 0.94/1.15 (define @t12 () (not @t9)) % 0.94/1.15 (define @t13 () (and @t2 @t11)) % 0.94/1.15 (define @t14 () (not @t10)) % 0.94/1.15 (define @t15 () (@var "W2" $$unsorted)) % 0.94/1.15 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.94/1.15 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.94/1.15 (define @t18 () (@list @t15)) % 0.94/1.15 (define @t19 () (tptp.aSet0 @t5)) % 0.94/1.15 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.94/1.15 (define @t21 () (tptp.isFinite0 @t5)) % 0.94/1.15 (define @t22 () (and @t2 @t9)) % 0.94/1.15 (define @t23 () (= @t1 @t5)) % 0.94/1.15 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 0.94/1.15 (define @t25 () (@list @t1 @t5)) % 0.94/1.15 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 0.94/1.15 (define @t27 () (tptp.aSet0 @t15)) % 0.94/1.15 (define @t28 () (@list @t1 @t5 @t15)) % 0.94/1.15 (define @t29 () (@var "W3" $$unsorted)) % 0.94/1.15 (define @t30 () (= @t29 @t5)) % 0.94/1.15 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 0.94/1.15 (define @t32 () (tptp.aElement0 @t29)) % 0.94/1.15 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 0.94/1.15 (define @t34 () (@list @t29)) % 0.94/1.15 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 0.94/1.15 (define @t36 () (and @t2 @t6)) % 0.94/1.15 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 0.94/1.15 (define @t38 () (tptp.sdtpldt0 @t37 @t5)) % 0.94/1.15 (define @t39 () (=> @t7 (= @t38 @t1))) % 0.94/1.15 (define @t40 () (forall @t8 @t39)) % 0.94/1.15 (define @t41 () (=> @t2 @t40)) % 0.94/1.15 (define @t42 () (forall @t3 @t41)) % 0.94/1.15 (define @t43 () (tptp.sdtpldt0 @t5 @t1)) % 0.94/1.15 (define @t44 () (tptp.isCountable0 @t5)) % 0.94/1.15 (define @t45 () (and @t19 @t44)) % 0.94/1.15 (define @t46 () (tptp.sdtmndt0 @t5 @t1)) % 0.94/1.15 (define @t47 () (and @t19 @t21)) % 0.94/1.15 (define @t48 () (tptp.szszuzczcdt0 @t1)) % 0.94/1.15 (define @t49 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.94/1.15 (define @t50 () (tptp.szszuzczcdt0 @t5)) % 0.94/1.15 (define @t51 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.94/1.15 (define @t52 () (and @t49 @t51)) % 0.94/1.15 (define @t53 () (= @t1 tptp.sz00)) % 0.94/1.15 (define @t54 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.94/1.15 (define @t55 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.94/1.15 (define @t56 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.94/1.15 (define @t57 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.94/1.15 (define @t58 () (tptp.sbrdtbr0 @t1)) % 0.94/1.15 (define @t59 () (not @t7)) % 0.94/1.15 (define @t60 () (tptp.sbrdtbr0 @t5)) % 0.94/1.15 (define @t61 () (tptp.sbrdtbr0 @t15)) % 0.94/1.15 (define @t62 () (and @t2 @t51)) % 0.94/1.15 (define @t63 () (tptp.szmzizndt0 @t1)) % 0.94/1.15 (define @t64 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.94/1.15 (define @t65 () (tptp.szmzizndt0 @t5)) % 0.94/1.15 (define @t66 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.94/1.15 (define @t67 () (tptp.slbdtrb0 @t1)) % 0.94/1.15 (define @t68 () (tptp.slbdtrb0 @t5)) % 0.94/1.15 (define @t69 () (tptp.sbrdtbr0 @t29)) % 0.94/1.15 (define @t70 () (tptp.aSubsetOf0 @t29 @t1)) % 0.94/1.15 (define @t71 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.94/1.15 (define @t72 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.94/1.15 (define @t73 () (tptp.aFunction0 @t1)) % 0.94/1.15 (define @t74 () (tptp.szDzozmdt0 @t1)) % 0.94/1.15 (define @t75 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.94/1.15 (define @t76 () (tptp.aElementOf0 @t5 @t74)) % 0.94/1.15 (define @t77 () (tptp.sdtlpdtrp0 @t1 @t29)) % 0.94/1.15 (define @t78 () (tptp.aElementOf0 @t29 @t74)) % 0.94/1.15 (define @t79 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.94/1.15 (define @t80 () (and @t73 @t6)) % 0.94/1.15 (define @t81 () (@var "W4" $$unsorted)) % 0.94/1.15 (define @t82 () (tptp.aElementOf0 @t81 @t5)) % 0.94/1.15 (define @t83 () (@list @t81)) % 0.94/1.15 (define @t84 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.94/1.15 (define @t85 () (tptp.aSubsetOf0 @t5 @t74)) % 0.94/1.15 (define @t86 () (tptp.sdtlcdtrc0 @t1 @t74)) % 0.94/1.15 (define @t87 () (tptp.aElementOf0 @t29 @t5)) % 0.94/1.15 (define @t88 () (tptp.szDzozmdt0 @t15)) % 0.94/1.15 (define @t89 () (tptp.aFunction0 @t15)) % 0.94/1.15 (define @t90 () (tptp.szDzizrdt0 @t1)) % 0.94/1.15 (define @t91 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.94/1.15 (define @t92 () (tptp.szDzozmdt0 tptp.xc)) % 0.94/1.15 (define @t93 () (tptp.sdtlcdtrc0 tptp.xc @t92)) % 0.94/1.15 (define @t94 () (tptp.aElementOf0 @t1 tptp.xT)) % 0.94/1.15 (define @t95 () (tptp.aElementOf0 @t1 @t93)) % 0.94/1.15 (define @t96 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 0.94/1.15 (define @t97 () (tptp.aElementOf0 @t1 @t92)) % 0.94/1.15 (define @t98 () (= @t58 tptp.xK)) % 0.94/1.15 (define @t99 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.94/1.15 (define @t100 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.94/1.15 (define @t101 () (@var "W5" $$unsorted)) % 0.94/1.15 (define @t102 () (@var "W6" $$unsorted)) % 0.94/1.15 (define @t103 () (@list @t101)) % 0.94/1.15 (define @t104 () (tptp.aElementOf0 @t29 tptp.xT)) % 0.94/1.15 (define @t105 () (tptp.sdtlcdtrc0 @t15 @t88)) % 0.94/1.15 (define @t106 () (tptp.aElementOf0 @t29 @t105)) % 0.94/1.15 (define @t107 () (tptp.aElementOf0 @t29 @t88)) % 0.94/1.15 (define @t108 () (= @t69 @t1)) % 0.94/1.15 (define @t109 () (tptp.aSubsetOf0 @t29 @t5)) % 0.94/1.15 (define @t110 () (tptp.aElementOf0 @t81 @t29)) % 0.94/1.15 (define @t111 () (forall @t83 (=> @t110 @t82))) % 0.94/1.15 (define @t112 () (tptp.aSet0 @t29)) % 0.94/1.15 (define @t113 () (tptp.sdtlpdtrp0 tptp.xN @t48)) % 0.94/1.15 (define @t114 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.94/1.15 (define @t115 () (tptp.szmzizndt0 @t114)) % 0.94/1.15 (define @t116 () (tptp.sdtmndt0 @t114 @t115)) % 0.94/1.15 (define @t117 () (tptp.aElementOf0 @t5 @t116)) % 0.94/1.15 (define @t118 () (tptp.aElementOf0 @t5 @t114)) % 0.94/1.15 (define @t119 () (forall @t8 (= @t117 (and @t6 @t118 (not (= @t5 @t115)))))) % 0.94/1.15 (define @t120 () (tptp.aSet0 @t116)) % 0.94/1.15 (define @t121 () (forall @t8 (=> @t118 (tptp.sdtlseqdt0 @t115 @t5)))) % 0.94/1.15 (define @t122 () (tptp.aElementOf0 @t115 @t114)) % 0.94/1.15 (define @t123 () (tptp.isCountable0 @t114)) % 0.94/1.15 (define @t124 () (tptp.aSubsetOf0 @t114 tptp.szNzAzT0)) % 0.94/1.15 (define @t125 () (forall @t8 (=> @t118 @t51))) % 0.94/1.15 (define @t126 () (tptp.aSet0 @t114)) % 0.94/1.15 (define @t127 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.94/1.15 (define @t128 () (tptp.aElementOf0 @t15 @t127)) % 0.94/1.15 (define @t129 () (tptp.aElementOf0 @t15 @t114)) % 0.94/1.15 (define @t130 () (tptp.sdtlseqdt0 @t115 @t15)) % 0.94/1.15 (define @t131 () (forall @t18 (=> @t129 @t130))) % 0.94/1.15 (define @t132 () (and @t122 @t131)) % 0.94/1.15 (define @t133 () (tptp.sdtpldt0 @t5 @t115)) % 0.94/1.15 (define @t134 () (tptp.aElementOf0 @t15 @t133)) % 0.94/1.15 (define @t135 () (= @t15 @t115)) % 0.94/1.15 (define @t136 () (tptp.aElement0 @t15)) % 0.94/1.15 (define @t137 () (forall @t18 (= @t134 (and @t136 (or @t17 @t135))))) % 0.94/1.15 (define @t138 () (tptp.slbdtsldtrb0 @t116 tptp.xk)) % 0.94/1.15 (define @t139 () (= @t60 tptp.xk)) % 0.94/1.15 (define @t140 () (tptp.aSubsetOf0 @t5 @t116)) % 0.94/1.15 (define @t141 () (tptp.aElementOf0 @t15 @t116)) % 0.94/1.15 (define @t142 () (forall @t18 (=> @t17 @t141))) % 0.94/1.15 (define @t143 () (and @t120 (forall @t18 (= @t141 (and @t136 @t129 (not @t135)))))) % 0.94/1.15 (define @t144 () (and @t19 (=> @t132 (=> @t143 (or (and (or @t142 @t140) @t139) (tptp.aElementOf0 @t5 @t138)))))) % 0.94/1.15 (define @t145 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 0.94/1.15 (define @t146 () (tptp.sdtlpdtrp0 @t145 @t5)) % 0.94/1.15 (define @t147 () (tptp.szDzozmdt0 @t145)) % 0.94/1.15 (define @t148 () (tptp.aElementOf0 @t5 @t147)) % 0.94/1.15 (define @t149 () (or (and @t19 @t142) @t140)) % 0.94/1.15 (define @t150 () (tptp.sdtlcdtrc0 @t145 @t147)) % 0.94/1.15 (define @t151 () (tptp.aElementOf0 @t5 tptp.xT)) % 0.94/1.15 (define @t152 () (tptp.aElementOf0 @t5 @t150)) % 0.94/1.15 (define @t153 () (= (tptp.sdtlpdtrp0 @t145 @t15) @t5)) % 0.94/1.15 (define @t154 () (tptp.aSubsetOf0 @t15 @t116)) % 0.94/1.15 (define @t155 () (tptp.aElementOf0 @t29 @t116)) % 0.94/1.15 (define @t156 () (forall @t34 (=> @t33 @t155))) % 0.94/1.15 (define @t157 () (tptp.aElementOf0 @t29 @t114)) % 0.94/1.15 (define @t158 () (forall @t34 (= @t155 (and @t32 @t157 (not (= @t29 @t115)))))) % 0.94/1.15 (define @t159 () (forall @t34 (=> @t157 (tptp.sdtlseqdt0 @t115 @t29)))) % 0.94/1.15 (define @t160 () (= @t61 tptp.xk)) % 0.94/1.15 (define @t161 () (tptp.slbdtsldtrb0 @t113 tptp.xk)) % 0.94/1.15 (define @t162 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 0.94/1.15 (define @t163 () (tptp.sdtlseqdt0 @t162 @t5)) % 0.94/1.15 (define @t164 () (forall @t8 (=> @t118 @t163))) % 0.94/1.15 (define @t165 () (tptp.aElementOf0 @t162 @t114)) % 0.94/1.15 (define @t166 () (and @t165 @t164 (= @t162 @t115))) % 0.94/1.15 (define @t167 () (=> @t49 @t166)) % 0.94/1.15 (define @t168 () (forall @t3 @t167)) % 0.94/1.15 (define @t169 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 0.94/1.15 (define @t170 () (tptp.aElementOf0 @t5 @t161)) % 0.94/1.15 (define @t171 () (tptp.aSubsetOf0 @t5 @t113)) % 0.94/1.15 (define @t172 () (tptp.aElementOf0 @t15 @t113)) % 0.94/1.15 (define @t173 () (forall @t18 (=> @t17 @t172))) % 0.94/1.15 (define @t174 () (or @t173 @t171)) % 0.94/1.15 (define @t175 () (and @t174 @t139)) % 0.94/1.15 (define @t176 () (or @t175 @t170)) % 0.94/1.15 (define @t177 () (and @t19 @t176)) % 0.94/1.15 (define @t178 () (=> @t177 (= @t169 @t146))) % 0.94/1.15 (define @t179 () (forall @t8 @t178)) % 0.94/1.15 (define @t180 () (=> @t49 @t179)) % 0.94/1.15 (define @t181 () (forall @t3 @t180)) % 0.94/1.15 (define @t182 () (tptp.szDzozmdt0 tptp.xd)) % 0.94/1.15 (define @t183 () (tptp.sdtlcdtrc0 tptp.xd @t182)) % 0.94/1.15 (define @t184 () (tptp.aElementOf0 @t1 @t183)) % 0.94/1.15 (define @t185 () (tptp.sdtlpdtrp0 tptp.xd @t5)) % 0.94/1.15 (define @t186 () (tptp.szDzizrdt0 tptp.xd)) % 0.94/1.15 (define @t187 () (tptp.sdtlbdtrb0 tptp.xd @t186)) % 0.94/1.15 (define @t188 () (tptp.aElementOf0 @t1 @t187)) % 0.94/1.15 (define @t189 () (forall @t3 (= @t188 (and (tptp.aElementOf0 @t1 @t182) (= @t169 @t186))))) % 0.94/1.15 (define @t190 () (tptp.aSet0 @t187)) % 0.94/1.15 (define @t191 () (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)) % 0.94/1.15 (define @t192 () (tptp.aElementOf0 @t5 @t187)) % 0.94/1.15 (define @t193 () (exists @t8 (and @t192 @t191))) % 0.94/1.15 (define @t194 () (tptp.aElementOf0 @t1 tptp.xO)) % 0.94/1.15 (define @t195 () (tptp.aSet0 tptp.xO)) % 0.94/1.15 (define @t196 () (tptp.aElementOf0 @t1 tptp.xQ)) % 0.94/1.15 (define @t197 () (forall @t3 (=> @t196 @t194))) % 0.94/1.15 (define @t198 () (tptp.aSet0 tptp.xQ)) % 0.94/1.15 (define @t199 () (tptp.aSubsetOf0 tptp.xQ tptp.xS)) % 0.94/1.15 (define @t200 () (forall @t3 (=> @t196 @t91))) % 0.94/1.15 (define @t201 () (tptp.szmzizndt0 tptp.xQ)) % 0.94/1.15 (define @t202 () (= tptp.xp @t201)) % 0.94/1.15 (define @t203 () (tptp.aElementOf0 tptp.xp tptp.xQ)) % 0.94/1.15 (define @t204 () (tptp.sdtmndt0 tptp.xQ @t201)) % 0.94/1.15 (define @t205 () (= tptp.xP @t204)) % 0.94/1.15 (define @t206 () (tptp.aElementOf0 @t1 tptp.xP)) % 0.94/1.15 (define @t207 () (tptp.aSet0 tptp.xP)) % 0.94/1.15 (define @t208 () (tptp.sbrdtbr0 tptp.xP)) % 0.94/1.15 (define @t209 () (tptp.sdtlpdtrp0 tptp.xe tptp.xn)) % 0.94/1.15 (define @t210 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0)) % 0.94/1.15 (define @t211 () (tptp.sdtlpdtrp0 tptp.xd tptp.xn)) % 0.94/1.15 (define @t212 () (= @t211 @t186)) % 0.94/1.15 (define @t213 () (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn))) % 0.94/1.15 (define @t214 () (tptp.aSubsetOf0 tptp.xP @t213)) % 0.94/1.15 (define @t215 () (tptp.sdtlpdtrp0 tptp.xN tptp.xn)) % 0.94/1.15 (define @t216 () (tptp.szmzizndt0 @t215)) % 0.94/1.15 (define @t217 () (= @t1 @t216)) % 0.94/1.15 (define @t218 () (tptp.aElementOf0 @t1 @t215)) % 0.94/1.15 (define @t219 () (tptp.aElementOf0 @t1 tptp.xD)) % 0.94/1.15 (define @t220 () (forall @t3 (=> @t218 (tptp.sdtlseqdt0 @t216 @t1)))) % 0.94/1.15 (define @t221 () (tptp.sdtlpdtrp0 (tptp.sdtlpdtrp0 tptp.xC tptp.xn) tptp.xP)) % 0.94/1.15 (define @t222 () (tptp.sdtpldt0 tptp.xP @t216)) % 0.94/1.15 (define @t223 () (tptp.sdtlpdtrp0 tptp.xc @t222)) % 0.94/1.15 (define @t224 () (= @t223 @t221)) % 0.94/1.15 (define @t225 () (tptp.sdtlpdtrp0 tptp.xc tptp.xQ)) % 0.94/1.15 (define @t226 () (@var "BOUND_VARIABLE_8711" $$unsorted)) % 0.94/1.15 (define @t227 () (= @t1 (tptp.sdtpldt0 (tptp.sdtmndt0 @t1 @t226) @t226))) % 0.94/1.15 (define @t228 () (not (tptp.aElementOf0 @t226 @t1))) % 0.94/1.15 (define @t229 () (not @t2)) % 0.94/1.15 (define @t230 () (or @t228 @t227)) % 0.94/1.15 (define @t231 () (or @t229 @t230)) % 0.94/1.15 (define @t232 () (forall (@list @t1 @t226) @t231)) % 0.94/1.15 (define @t233 () (@list @t226)) % 0.94/1.15 (define @t234 () (forall @t233 @t231)) % 0.94/1.15 (define @t235 () (forall @t233 @t230)) % 0.94/1.15 (define @t236 () (@list @t5)) % 0.94/1.15 (define @t237 () (or @t229 @t235)) % 0.94/1.15 (define @t238 () (= @t1 @t38)) % 0.94/1.15 (define @t239 () (forall @t8 (or @t59 @t238))) % 0.94/1.15 (define @t240 () (= tptp.xQ (tptp.sdtpldt0 (tptp.sdtmndt0 tptp.xQ tptp.xp) tptp.xp))) % 0.94/1.15 (define @t241 () (not @t203)) % 0.94/1.15 (define @t242 () (not @t198)) % 0.94/1.15 (define @t243 () (or @t242 @t241 @t240)) % 0.94/1.15 (define @t244 () (@var "BOUND_VARIABLE_11154" $$unsorted)) % 0.94/1.15 (define @t245 () (tptp.sdtlpdtrp0 @t145 @t244)) % 0.94/1.15 (define @t246 () (not (tptp.aElementOf0 @t244 @t161))) % 0.94/1.15 (define @t247 () (tptp.sbrdtbr0 @t244)) % 0.94/1.15 (define @t248 () (not (= @t247 tptp.xk))) % 0.94/1.15 (define @t249 () (and (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t244)) @t172))) (not (tptp.aSubsetOf0 @t244 @t113)))) % 0.94/1.15 (define @t250 () (or @t249 @t248)) % 0.94/1.15 (define @t251 () (and @t250 @t246)) % 0.94/1.15 (define @t252 () (not (tptp.aSet0 @t244))) % 0.94/1.15 (define @t253 () (not @t49)) % 0.94/1.15 (define @t254 () (= @t245 @t169)) % 0.94/1.15 (define @t255 () (or @t253 @t252 @t251 @t254)) % 0.94/1.15 (define @t256 () (or @t252 @t251 @t254)) % 0.94/1.15 (define @t257 () (or @t253 @t256)) % 0.94/1.15 (define @t258 () (forall (@list @t1 @t244) @t257)) % 0.94/1.15 (define @t259 () (@list @t244)) % 0.94/1.15 (define @t260 () (forall @t259 @t257)) % 0.94/1.15 (define @t261 () (forall @t259 @t256)) % 0.94/1.15 (define @t262 () (or @t253 @t261)) % 0.94/1.15 (define @t263 () (= @t146 @t169)) % 0.94/1.15 (define @t264 () (not @t170)) % 0.94/1.15 (define @t265 () (not @t139)) % 0.94/1.15 (define @t266 () (forall @t18 (or (not @t17) @t172))) % 0.94/1.15 (define @t267 () (and (or (and (not @t266) (not @t171)) @t265) @t264)) % 0.94/1.15 (define @t268 () (not @t19)) % 0.94/1.15 (define @t269 () (or @t268 @t267 @t263)) % 0.94/1.15 (define @t270 () (forall @t8 @t269)) % 0.94/1.15 (define @t271 () (or @t266 @t171)) % 0.94/1.15 (define @t272 () (and @t271 @t139)) % 0.94/1.15 (define @t273 () (or @t272 @t170)) % 0.94/1.15 (define @t274 () (and @t19 @t273)) % 0.94/1.15 (define @t275 () (not @t214)) % 0.94/1.15 (define @t276 () (and (not (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.xP)) (tptp.aElementOf0 @t15 @t213)))) @t275)) % 0.94/1.15 (define @t277 () (not @t276)) % 0.94/1.15 (define @t278 () (@list false)) % 0.94/1.15 (define @t279 () (= tptp.xk @t208)) % 0.94/1.15 (define @t280 () (not @t279)) % 0.94/1.15 (define @t281 () (or @t276 @t280)) % 0.94/1.15 (define @t282 () (not @t281)) % 0.94/1.15 (define @t283 () (and @t281 (not (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 @t213 tptp.xk))))) % 0.94/1.15 (define @t284 () (not @t283)) % 0.94/1.15 (define @t285 () (= @t211 @t221)) % 0.94/1.15 (define @t286 () (not @t207)) % 0.94/1.15 (define @t287 () (not @t210)) % 0.94/1.15 (define @t288 () (or @t287 @t286 @t283 @t285)) % 0.94/1.15 (define @t289 () (= @t115 @t162)) % 0.94/1.15 (define @t290 () (@var "BOUND_VARIABLE_11116" $$unsorted)) % 0.94/1.15 (define @t291 () (or (not (tptp.aElementOf0 @t290 @t114)) (tptp.sdtlseqdt0 @t162 @t290))) % 0.94/1.15 (define @t292 () (and @t165 @t291 @t289)) % 0.94/1.15 (define @t293 () (or @t253 @t292)) % 0.94/1.15 (define @t294 () (forall (@list @t1 @t290) @t293)) % 0.94/1.15 (define @t295 () (@list @t290)) % 0.94/1.15 (define @t296 () (forall @t295 @t293)) % 0.94/1.15 (define @t297 () (forall @t295 @t289)) % 0.94/1.15 (define @t298 () (forall @t295 @t291)) % 0.94/1.15 (define @t299 () (forall @t295 @t165)) % 0.94/1.15 (define @t300 () (and @t299 @t298 @t297)) % 0.94/1.15 (define @t301 () (forall @t295 @t292)) % 0.94/1.15 (define @t302 () (or @t253 @t301)) % 0.94/1.15 (define @t303 () (and @t165 (forall @t8 (or (not @t118) @t163)) @t289)) % 0.94/1.15 (define @t304 () (or (not (tptp.aElementOf0 @t216 @t215)) (tptp.sdtlseqdt0 @t209 @t216))) % 0.94/1.15 (define @t305 () (tptp.aElementOf0 @t209 @t215)) % 0.94/1.15 (define @t306 () (and @t305 @t304 (= @t216 @t209))) % 0.94/1.15 (define @t307 () (or @t287 @t306)) % 0.94/1.15 (define @t308 () (= @t209 @t216)) % 0.94/1.15 (define @t309 () (and @t305 @t304 @t308)) % 0.94/1.15 (define @t310 () (or @t287 @t309)) % 0.94/1.15 (define @t311 () (= tptp.xp @t209)) % 0.94/1.15 (define @t312 () (= @t211 @t225)) % 0.94/1.15 (define @t313 () (and @t202 @t205 @t224 @t311 @t240 @t285 @t308)) % 0.94/1.15 (assume @p1 (forall @t3 (=> @t2 true))) % 0.94/1.15 (assume @p2 (forall @t3 (=> @t4 true))) % 0.94/1.15 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.94/1.15 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.94/1.15 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.94/1.15 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.94/1.15 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.94/1.15 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.94/1.15 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.94/1.15 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.94/1.15 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 0.94/1.15 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.94/1.15 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 0.94/1.15 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 0.94/1.15 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 0.94/1.15 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 0.94/1.15 (assume @p17 @t42) % 0.94/1.15 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t43 @t1) @t5))))) % 0.94/1.15 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isCountable0 @t43)))))) % 0.94/1.15 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isCountable0 @t46)))))) % 0.94/1.15 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t47 (tptp.isFinite0 @t43)))))) % 0.94/1.15 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t47 (tptp.isFinite0 @t46)))))) % 0.94/1.15 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.94/1.15 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.94/1.15 (assume @p25 (forall @t3 (=> @t49 (and (tptp.aElementOf0 @t48 tptp.szNzAzT0) (not (= @t48 tptp.sz00)))))) % 0.94/1.15 (assume @p26 (forall @t25 (=> @t52 (=> (= @t48 @t50) @t23)))) % 0.94/1.15 (assume @p27 (forall @t3 (=> @t49 (or @t53 (exists @t8 (and @t51 (= @t1 @t50))))))) % 0.94/1.15 (assume @p28 (forall @t3 (=> @t49 (not (= @t1 @t48))))) % 0.94/1.15 (assume @p29 (forall @t25 (=> @t52 (=> @t54 true)))) % 0.94/1.15 (assume @p30 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.94/1.15 (assume @p31 (forall @t3 (=> @t49 (not (tptp.sdtlseqdt0 @t48 tptp.sz00))))) % 0.94/1.15 (assume @p32 (forall @t25 (=> @t52 (= @t54 (tptp.sdtlseqdt0 @t48 @t50))))) % 0.94/1.15 (assume @p33 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 @t1 @t48)))) % 0.94/1.15 (assume @p34 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.94/1.15 (assume @p35 (forall @t25 (=> @t52 (=> (and @t54 @t55) @t23)))) % 0.94/1.15 (assume @p36 (forall @t28 (=> (and @t49 @t51 @t57) (=> (and @t54 @t56) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.94/1.15 (assume @p37 (forall @t25 (=> @t52 (or @t54 (tptp.sdtlseqdt0 @t50 @t1))))) % 0.94/1.15 (assume @p38 (forall @t25 (=> @t52 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.94/1.15 (assume @p39 (forall @t3 (=> @t49 (tptp.iLess0 @t1 @t48)))) % 0.94/1.15 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t58)))) % 0.94/1.15 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t58 tptp.szNzAzT0) @t9)))) % 0.94/1.15 (assume @p42 (forall @t3 (=> @t2 (= (= @t58 tptp.sz00) @t10)))) % 0.94/1.15 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> @t59 (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t58)))))))) % 0.94/1.15 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t58)))))) % 0.94/1.15 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t60 @t58)))))) % 0.94/1.15 (assume @p46 (forall @t25 (=> @t62 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t58)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t61 @t5))))))) % 0.94/1.15 (assume @p47 (forall @t3 (=> (and @t64 @t14) (forall @t8 (= (= @t5 @t63) (and @t7 (forall @t18 (=> @t16 @t56)))))))) % 0.94/1.15 (assume @p48 (forall @t3 (=> (and @t64 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.94/1.15 (assume @p49 (forall @t25 (=> (and @t64 @t66 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t63 @t5) (tptp.aElementOf0 @t65 @t1)) (= @t63 @t65))))) % 0.94/1.15 (assume @p50 (forall @t3 (=> @t49 (forall @t8 (= (= @t5 @t67) (and @t19 (forall @t18 (= @t17 (and @t57 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.94/1.15 (assume @p51 (forall @t3 (=> @t49 (tptp.isFinite0 @t67)))) % 0.94/1.15 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.94/1.15 (assume @p53 (forall @t25 (=> @t52 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t50)) (or (tptp.aElementOf0 @t1 @t68) @t23))))) % 0.94/1.15 (assume @p54 (forall @t25 (=> @t52 (= @t54 (tptp.aSubsetOf0 @t67 @t68))))) % 0.94/1.15 (assume @p55 (forall @t3 (=> (and @t64 @t9) (exists @t8 (and @t51 (tptp.aSubsetOf0 @t1 @t68)))))) % 0.94/1.15 (assume @p56 (forall @t3 (=> @t49 (= (tptp.sbrdtbr0 @t67) @t1)))) % 0.94/1.15 (assume @p57 (forall @t25 (=> @t62 (forall @t18 (= (= @t15 @t71) (and @t27 (forall @t34 (= @t33 (and @t70 (= @t69 @t5)))))))))) % 0.94/1.15 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t51 (tptp.isFinite0 @t71)))))) % 0.94/1.15 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t51 (not (= @t71 tptp.slcrc0))))))) % 0.94/1.15 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t51 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t71)))))) % 0.94/1.15 (assume @p61 (forall @t3 (=> @t49 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t53)) (=> (and (tptp.aSubsetOf0 @t72 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t72 tptp.slcrc0))) @t26)))))) % 0.94/1.15 (assume @p62 (forall @t25 (=> @t62 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t71) (tptp.isFinite0 @t15)) (exists @t34 (and @t70 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 0.94/1.15 (assume @p63 (forall @t3 (=> @t73 true))) % 0.94/1.15 (assume @p64 (forall @t3 (=> @t73 (tptp.aSet0 @t74)))) % 0.94/1.15 (assume @p65 (forall @t3 (=> @t73 (forall @t8 (=> @t76 (tptp.aElement0 @t75)))))) % 0.94/1.15 (assume @p66 (forall @t25 (=> @t80 (forall @t18 (= (= @t15 @t79) (and @t27 (forall @t34 (= @t33 (and @t78 (= @t77 @t5)))))))))) % 0.94/1.15 (assume @p67 (forall @t25 (=> @t80 (tptp.aSubsetOf0 @t79 @t74)))) % 0.94/1.15 (assume @p68 (forall @t3 (=> @t73 (forall @t8 (=> @t85 (forall @t18 (= (= @t15 @t84) (and @t27 (forall @t34 (= @t33 (exists @t83 (and @t82 (= (tptp.sdtlpdtrp0 @t1 @t81) @t29))))))))))))) % 0.94/1.15 (assume @p69 (forall @t3 (=> @t73 (forall @t8 (=> @t76 (tptp.aElementOf0 @t75 @t86)))))) % 0.94/1.15 (assume @p70 (forall @t3 (=> @t73 (forall @t8 (=> @t85 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t89 (= @t88 @t5) (forall @t34 (=> @t87 (= (tptp.sdtlpdtrp0 @t15 @t29) @t77))))))))))) % 0.94/1.15 (assume @p71 (forall @t3 (=> @t73 (forall @t8 (=> (and @t85 @t44) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t74) @t78 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t77)))) (tptp.isCountable0 @t84))))))) % 0.94/1.15 (assume @p72 (forall @t3 (=> @t73 (=> (and (tptp.isCountable0 @t74) (tptp.isFinite0 @t86)) (and (tptp.aElement0 @t90) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t90))))))) % 0.94/1.15 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.94/1.15 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.94/1.15 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> @t91 @t49)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 0.94/1.15 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t97 (and @t2 @t100 @t99 @t98)) (=> (and (or (and @t2 @t100) @t99) @t98) @t97))) (= @t92 @t96) (tptp.aSet0 @t93) (forall @t3 (= @t95 (exists @t8 (and (tptp.aElementOf0 @t5 @t92) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t95 @t94)) (tptp.aSubsetOf0 @t93 tptp.xT))) % 0.94/1.15 (assume @p77 (forall @t3 (=> @t49 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t57))) @t66) @t44) (forall @t18 (=> (and @t89 (or (forall @t34 (and (=> @t107 (and (or (and @t112 @t111) @t109) @t108)) (=> (and @t112 @t111 @t109 @t108) @t107))) (= @t88 @t72)) (=> (and (tptp.aSet0 @t105) (forall @t34 (= @t106 (exists @t83 (and (tptp.aElementOf0 @t81 @t88) (= (tptp.sdtlpdtrp0 @t15 @t81) @t29)))))) (or (forall @t34 (=> @t106 @t104)) (tptp.aSubsetOf0 @t105 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t104 (exists @t83 (and (tptp.aSet0 @t81) (forall @t103 (=> (tptp.aElementOf0 @t101 @t81) (tptp.aElementOf0 @t101 @t5))) (tptp.aSubsetOf0 @t81 @t5) (tptp.isCountable0 @t81) (forall @t103 (=> (or (and (or (and (tptp.aSet0 @t101) (forall (@list @t102) (=> (tptp.aElementOf0 @t102 @t101) (tptp.aElementOf0 @t102 @t81)))) (tptp.aSubsetOf0 @t101 @t81)) (= (tptp.sbrdtbr0 @t101) @t1)) (tptp.aElementOf0 @t101 (tptp.slbdtsldtrb0 @t81 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t101) @t29))))))))))))))) % 0.94/1.15 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.94/1.15 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.94/1.15 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t49 (=> (and (or (and @t126 @t125) @t124) @t123) (and @t122 @t121 @t120 @t119 (tptp.aSet0 @t113) (forall @t8 (=> (tptp.aElementOf0 @t5 @t113) @t117)) (tptp.aSubsetOf0 @t113 @t116) (tptp.isCountable0 @t113))))))) % 0.94/1.15 (assume @p81 (forall @t3 (=> @t49 (and @t126 @t125 @t124 @t123)))) % 0.94/1.15 (assume @p82 (forall @t25 (=> @t52 (=> @t55 (and (forall @t18 (=> @t129 @t128)) (tptp.aSubsetOf0 @t114 @t127)))))) % 0.94/1.15 (assume @p83 (forall @t25 (=> (and @t49 @t51 (not @t23)) (not (=> @t132 (or (and (tptp.aElementOf0 @t115 @t127) (forall @t18 (=> @t128 @t130))) (= @t115 (tptp.szmzizndt0 @t127)))))))) % 0.94/1.15 (assume @p84 (forall @t3 (=> @t49 (forall @t8 (=> @t144 (and @t122 @t131 (tptp.aSet0 @t133) @t137 (forall @t18 (=> @t134 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t133 tptp.xS) (= (tptp.sbrdtbr0 @t133) tptp.xK) (tptp.aElementOf0 @t133 @t96))))))) % 0.94/1.15 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t49 (and (tptp.aFunction0 @t145) @t122 @t121 @t120 @t119 (forall @t8 (and (=> @t148 (and @t19 @t142 @t140 @t139)) (=> (and @t149 @t139) @t148))) (= @t147 @t138) (forall @t8 (=> @t144 (and @t122 @t131 @t137 (= @t146 (tptp.sdtlpdtrp0 tptp.xc @t133)))))))))) % 0.94/1.15 (assume @p86 (forall @t3 (=> @t49 (and (tptp.aSet0 @t150) (forall @t8 (= @t152 (exists @t18 (and (tptp.aElementOf0 @t15 @t147) @t153)))) (forall @t8 (=> @t152 @t151)) (tptp.aSubsetOf0 @t150 tptp.xT))))) % 0.94/1.15 (assume @p87 (forall @t3 (=> @t49 (forall @t8 (=> (and (=> @t132 (=> @t143 @t149)) @t44) (forall @t18 (=> (and @t27 (or (and (or (forall @t34 (=> @t33 @t87)) (tptp.aSubsetOf0 @t15 @t5)) @t160) (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t122 @t159 @t120 @t158 @t156 @t154 (tptp.aElementOf0 @t15 @t138))))))))) % 0.94/1.15 (assume @p88 (forall @t3 (=> @t49 (exists @t8 (and @t151 (exists @t18 (and @t122 @t159 @t120 @t158 @t27 @t156 @t154 (tptp.isCountable0 @t15) (forall @t34 (=> (and @t112 (or (and (or (forall @t83 (=> @t110 (tptp.aElementOf0 @t81 @t15))) (tptp.aSubsetOf0 @t29 @t15)) (= @t69 tptp.xk)) (tptp.aElementOf0 @t29 (tptp.slbdtsldtrb0 @t15 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t145 @t29) @t5)))))))))) % 0.94/1.15 (assume @p89 (forall @t3 (=> @t49 (exists @t8 (and @t151 (forall @t18 (=> (and @t27 (or (and (or (forall @t34 (=> @t33 (tptp.aElementOf0 @t29 @t113))) (tptp.aSubsetOf0 @t15 @t113)) @t160) (tptp.aElementOf0 @t15 @t161))) @t153))))))) % 0.94/1.15 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) @t168)) % 0.94/1.15 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t182 tptp.szNzAzT0) @t181)) % 0.94/1.15 (assume @p92 (and (tptp.aSet0 @t183) (forall @t3 (= @t184 (exists @t8 (and (tptp.aElementOf0 @t5 @t182) (= @t185 @t1))))) (forall @t3 (=> @t184 @t94)) (tptp.aSubsetOf0 @t183 tptp.xT))) % 0.94/1.15 (assume @p93 (and (tptp.aElementOf0 @t186 tptp.xT) @t190 @t189)) % 0.94/1.15 (assume @p94 (and @t195 @t190 @t189 (forall @t3 (= @t194 @t193)) (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t187)))) % 0.94/1.15 (assume @p95 (and @t195 (tptp.isCountable0 tptp.xO))) % 0.94/1.15 (assume @p96 (forall @t3 (=> (or @t193 @t194) (exists @t8 (and @t51 (= @t185 @t186) @t192 @t191))))) % 0.94/1.15 (assume @p97 (and (forall @t3 (=> @t194 @t91)) (tptp.aSubsetOf0 tptp.xO tptp.xS))) % 0.94/1.15 (assume @p98 (and @t198 @t197 (tptp.aSubsetOf0 tptp.xQ tptp.xO) (= (tptp.sbrdtbr0 tptp.xQ) tptp.xK) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK)))) % 0.94/1.15 (assume @p99 (and @t197 (not (or (not (exists @t3 @t196)) (= tptp.xQ tptp.slcrc0))))) % 0.94/1.15 (assume @p100 (and (forall @t3 (=> @t196 @t49)) (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0))) % 0.94/1.15 (assume @p101 (and @t200 @t199 @t200 @t199 (tptp.aElementOf0 tptp.xQ @t92))) % 0.94/1.15 (assume @p102 (and @t203 (forall @t3 (=> @t196 (tptp.sdtlseqdt0 tptp.xp @t1))) @t202)) % 0.94/1.15 (assume @p103 (and @t207 (forall @t3 (=> @t196 (tptp.sdtlseqdt0 @t201 @t1))) (forall @t3 (= @t206 (and @t4 @t196 (not (= @t1 @t201))))) @t205)) % 0.94/1.15 (assume @p104 @t203) % 0.94/1.15 (assume @p105 (exists @t3 (and @t188 (= @t162 tptp.xp)))) % 0.94/1.15 (assume @p106 (and (forall @t3 (=> @t206 @t196)) (tptp.aSubsetOf0 tptp.xP tptp.xQ))) % 0.94/1.15 (assume @p107 (and (forall @t3 (=> @t206 @t194)) (tptp.aSubsetOf0 tptp.xP tptp.xO))) % 0.94/1.15 (assume @p108 (= @t208 tptp.xk)) % 0.94/1.15 (assume @p109 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk))) % 0.94/1.15 (assume @p110 (and (tptp.aElementOf0 tptp.xn @t182) @t212 (tptp.aElementOf0 tptp.xn @t187) @t210 (= @t209 tptp.xp))) % 0.94/1.15 (assume @p111 @t212) % 0.94/1.15 (assume @p112 (and (forall @t3 (=> @t206 (tptp.aElementOf0 @t1 @t213))) @t214)) % 0.94/1.15 (assume @p113 (and @t220 (tptp.aSet0 tptp.xD) (forall @t3 (= @t219 (and @t4 @t218 (not @t217)))) (= tptp.xD (tptp.sdtmndt0 @t215 @t216)))) % 0.94/1.15 (assume @p114 (and (forall @t3 (=> @t206 @t219)) (tptp.aSubsetOf0 tptp.xP tptp.xD) (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xD tptp.xk)))) % 0.94/1.15 (assume @p115 (and @t220 (tptp.aSet0 @t222) (forall @t3 (= (tptp.aElementOf0 @t1 @t222) (and @t4 (or @t206 @t217)))) @t224)) % 0.94/1.15 (assume @p116 (not (= @t225 @t211))) % 0.94/1.15 (assume @p117 true) % 0.94/1.15 (step @p118 :rule and_elim :premises (@p102) :args (2)) % 0.94/1.15 (step @p119 :rule and_elim :premises (@p103) :args (3)) % 0.94/1.15 (step @p120 :rule and_elim :premises (@p110) :args (4)) % 0.94/1.15 (step @p121 :rule symm :premises (@p120)) % 0.94/1.15 (step @p122 :rule and_elim :premises (@p115) :args (3)) % 0.94/1.15 (step @p123 :rule symm :premises (@p116)) % 0.94/1.15 (step @p124 :rule aci_norm :args ((= @t231 (or @t229 @t228 @t227)))) % 0.94/1.15 (step @p125 :rule cong :premises (@p124) :args (@t232)) % 0.94/1.15 (step @p126 :rule quant-merge-prenex :args ((= (forall @t3 @t234) @t232))) % 0.94/1.15 (step @p127 :rule alpha_equiv :args (@t235 (@list @t226) @t236)) % 0.94/1.15 (step @p128 :rule refl :args (@t229)) % 0.94/1.15 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t237)) % 0.94/1.15 (step @p130 :rule quant-miniscope-or :args ((= @t234 @t237))) % 0.94/1.15 (step @p131 :rule trans :premises (@p130 @p129)) % 0.94/1.15 (step @p132 :rule symm :premises (@p131)) % 0.94/1.15 (step @p133 :rule cong :premises (@p132) :args ((forall @t3 (or @t229 @t239)))) % 0.94/1.15 (step @p134 :rule trans :premises (@p133 @p126)) % 0.94/1.15 (step @p135 :rule trans :premises (@p134 @p125)) % 0.94/1.15 (step @p136 :rule bool-impl-elim :args (@t2 @t239)) % 0.94/1.15 (step @p137 :rule cong :premises (@p136) :args ((forall @t3 (=> @t2 @t239)))) % 0.94/1.15 (step @p138 :rule trans :premises (@p137 @p135)) % 0.94/1.15 (step @p139 :rule bool-impl-elim :args (@t7 @t238)) % 0.94/1.15 (step @p140 :rule cong :premises (@p139) :args ((forall @t8 (=> @t7 @t238)))) % 0.94/1.15 (step @p141 :rule eq-symm :args (@t38 @t1)) % 0.94/1.15 (step @p142 :rule refl :args (@t7)) % 0.94/1.15 (step @p143 :rule cong :premises (@p142 @p141) :args (@t39)) % 0.94/1.15 (step @p144 :rule cong :premises (@p143) :args (@t40)) % 0.94/1.15 (step @p145 :rule trans :premises (@p144 @p140)) % 0.94/1.15 (step @p146 :rule refl :args (@t2)) % 0.94/1.15 (step @p147 :rule cong :premises (@p146 @p145) :args (@t41)) % 0.94/1.15 (step @p148 :rule cong :premises (@p147) :args (@t42)) % 0.94/1.15 (step @p149 :rule trans :premises (@p148 @p138)) % 0.94/1.15 (step @p150 :rule eq_resolve :premises (@p17 @p149)) % 0.94/1.15 (step @p151 :rule instantiate :premises (@p150) :args ((@list tptp.xQ tptp.xp))) % 0.94/1.15 (step @p152 :rule and_elim :premises (@p102) :args (0)) % 0.94/1.15 (step @p153 :rule and_elim :premises (@p98) :args (0)) % 0.94/1.15 (step @p154 :rule cnf_or_pos :args (@t243)) % 0.94/1.15 (step @p155 :rule reordering :premises (@p154) :args ((or @t242 @t241 @t240 (not @t243)))) % 0.94/1.15 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p152 @p151) :args (@t240 (@list false false false) (@list @t198 @t203 @t243))) % 0.94/1.15 (step @p157 :rule eq-symm :args (@t245 @t169)) % 0.94/1.15 (step @p158 :rule refl :args (@t246)) % 0.94/1.15 (step @p159 :rule eq-symm :args (@t247 tptp.xk)) % 0.94/1.15 (step @p160 :rule cong :premises (@p159) :args (@t248)) % 0.94/1.15 (step @p161 :rule refl :args (@t249)) % 0.94/1.15 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t250)) % 0.94/1.15 (step @p163 :rule nary_cong :premises (@p162 @p158) :args (@t251)) % 0.94/1.15 (step @p164 :rule refl :args (@t252)) % 0.94/1.15 (step @p165 :rule refl :args (@t253)) % 0.94/1.15 (step @p166 :rule nary_cong :premises (@p165 @p164 @p163 @p157) :args (@t255)) % 0.94/1.15 (step @p167 :rule aci_norm :args ((= @t257 @t255))) % 0.94/1.15 (step @p168 :rule trans :premises (@p167 @p166)) % 0.94/1.15 (step @p169 :rule cong :premises (@p168) :args (@t258)) % 0.94/1.15 (step @p170 :rule quant-merge-prenex :args ((= (forall @t3 @t260) @t258))) % 0.94/1.15 (step @p171 :rule alpha_equiv :args (@t261 (@list @t244) @t236)) % 0.94/1.15 (step @p172 :rule refl :args (@t253)) % 0.94/1.15 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t262)) % 0.94/1.15 (step @p174 :rule quant-miniscope-or :args ((= @t260 @t262))) % 0.94/1.15 (step @p175 :rule trans :premises (@p174 @p173)) % 0.94/1.15 (step @p176 :rule symm :premises (@p175)) % 0.94/1.15 (step @p177 :rule cong :premises (@p176) :args ((forall @t3 (or @t253 @t270)))) % 0.94/1.15 (step @p178 :rule trans :premises (@p177 @p170)) % 0.94/1.15 (step @p179 :rule trans :premises (@p178 @p169)) % 0.94/1.15 (step @p180 :rule bool-impl-elim :args (@t49 @t270)) % 0.94/1.15 (step @p181 :rule cong :premises (@p180) :args ((forall @t3 (=> @t49 @t270)))) % 0.94/1.15 (step @p182 :rule trans :premises (@p181 @p179)) % 0.94/1.15 (step @p183 :rule aci_norm :args ((= (or (or @t268 @t267) @t263) @t269))) % 0.94/1.15 (step @p184 :rule refl :args (@t263)) % 0.94/1.15 (step @p185 :rule refl :args (@t264)) % 0.94/1.15 (step @p186 :rule refl :args (@t265)) % 0.94/1.15 (step @p187 :rule bool-or-de-morgan :args (@t266 @t171 false)) % 0.94/1.15 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or (not @t271) @t265))) % 0.94/1.15 (step @p189 :rule bool-and-de-morgan :args (@t271 @t139 true)) % 0.94/1.15 (step @p190 :rule trans :premises (@p189 @p188)) % 0.94/1.15 (step @p191 :rule nary_cong :premises (@p190 @p185) :args ((and (not @t272) @t264))) % 0.94/1.15 (step @p192 :rule bool-or-de-morgan :args (@t272 @t170 false)) % 0.94/1.15 (step @p193 :rule trans :premises (@p192 @p191)) % 0.94/1.15 (step @p194 :rule refl :args (@t268)) % 0.94/1.15 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t268 (not @t273)))) % 0.94/1.15 (step @p196 :rule bool-and-de-morgan :args (@t19 @t273 true)) % 0.94/1.15 (step @p197 :rule trans :premises (@p196 @p195)) % 0.94/1.15 (step @p198 :rule nary_cong :premises (@p197 @p184) :args ((or (not @t274) @t263))) % 0.94/1.15 (step @p199 :rule trans :premises (@p198 @p183)) % 0.94/1.15 (step @p200 :rule bool-impl-elim :args (@t274 @t263)) % 0.94/1.15 (step @p201 :rule trans :premises (@p200 @p199)) % 0.94/1.15 (step @p202 :rule cong :premises (@p201) :args ((forall @t8 (=> @t274 @t263)))) % 0.94/1.15 (step @p203 :rule eq-symm :args (@t169 @t146)) % 0.94/1.15 (step @p204 :rule refl :args (@t170)) % 0.94/1.15 (step @p205 :rule refl :args (@t139)) % 0.94/1.15 (step @p206 :rule refl :args (@t171)) % 0.94/1.15 (step @p207 :rule bool-impl-elim :args (@t17 @t172)) % 0.94/1.15 (step @p208 :rule cong :premises (@p207) :args (@t173)) % 0.94/1.15 (step @p209 :rule nary_cong :premises (@p208 @p206) :args (@t174)) % 0.94/1.15 (step @p210 :rule nary_cong :premises (@p209 @p205) :args (@t175)) % 0.94/1.15 (step @p211 :rule nary_cong :premises (@p210 @p204) :args (@t176)) % 0.94/1.15 (step @p212 :rule refl :args (@t19)) % 0.94/1.15 (step @p213 :rule nary_cong :premises (@p212 @p211) :args (@t177)) % 0.94/1.15 (step @p214 :rule cong :premises (@p213 @p203) :args (@t178)) % 0.94/1.15 (step @p215 :rule cong :premises (@p214) :args (@t179)) % 0.94/1.15 (step @p216 :rule trans :premises (@p215 @p202)) % 0.94/1.15 (step @p217 :rule refl :args (@t49)) % 0.94/1.15 (step @p218 :rule cong :premises (@p217 @p216) :args (@t180)) % 0.94/1.15 (step @p219 :rule cong :premises (@p218) :args (@t181)) % 0.94/1.15 (step @p220 :rule trans :premises (@p219 @p182)) % 0.94/1.15 (step @p221 :rule and_elim :premises (@p91) :args (2)) % 0.94/1.15 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 0.94/1.15 (step @p223 :rule instantiate :premises (@p222) :args ((@list tptp.xn tptp.xP))) % 0.94/1.15 (step @p224 :rule and_elim :premises (@p112) :args (1)) % 0.94/1.15 (step @p225 :rule cnf_and_pos :args (@t276 1)) % 0.94/1.15 (step @p226 :rule reordering :premises (@p225) :args ((or @t275 @t277))) % 0.94/1.15 (step @p227 :rule chain_m_resolution :premises (@p226 @p224) :args (@t277 @t278 (@list @t214))) % 0.94/1.15 (step @p228 :rule symm :premises (@p108)) % 0.94/1.15 (step @p229 :rule cnf_or_pos :args (@t281)) % 0.94/1.15 (step @p230 :rule reordering :premises (@p229) :args ((or @t280 @t276 @t282))) % 0.94/1.15 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p227) :args (@t282 (@list false true) (@list @t279 @t276))) % 0.94/1.15 (step @p232 :rule cnf_and_pos :args (@t283 0)) % 0.94/1.15 (step @p233 :rule reordering :premises (@p232) :args ((or @t281 @t284))) % 0.94/1.15 (step @p234 :rule chain_m_resolution :premises (@p233 @p231) :args (@t284 (@list true) (@list @t281))) % 0.94/1.15 (step @p235 :rule and_elim :premises (@p110) :args (3)) % 0.94/1.15 (step @p236 :rule and_elim :premises (@p103) :args (0)) % 0.94/1.15 (step @p237 :rule cnf_or_pos :args (@t288)) % 0.94/1.15 (step @p238 :rule reordering :premises (@p237) :args ((or @t286 @t287 @t283 @t285 (not @t288)))) % 0.94/1.15 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p235 @p234 @p223) :args (@t285 (@list false false true false) (@list @t207 @t210 @t283 @t288))) % 0.94/1.15 (step @p240 :rule quant-merge-prenex :args ((= (forall @t3 @t296) @t294))) % 0.94/1.15 (step @p241 :rule quant-unused-vars :args ((= @t297 @t289))) % 0.94/1.15 (step @p242 :rule alpha_equiv :args (@t298 (@list @t290) @t236)) % 0.94/1.15 (step @p243 :rule quant-unused-vars :args ((= @t299 @t165))) % 0.94/1.15 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241) :args (@t300)) % 0.94/1.15 (step @p245 :rule quant-miniscope-and :args ((= @t301 @t300))) % 0.94/1.15 (step @p246 :rule trans :premises (@p245 @p244)) % 0.94/1.15 (step @p247 :rule nary_cong :premises (@p172 @p246) :args (@t302)) % 0.94/1.15 (step @p248 :rule quant-miniscope-or :args ((= @t296 @t302))) % 0.94/1.15 (step @p249 :rule trans :premises (@p248 @p247)) % 0.94/1.15 (step @p250 :rule symm :premises (@p249)) % 0.94/1.15 (step @p251 :rule cong :premises (@p250) :args ((forall @t3 (or @t253 @t303)))) % 0.94/1.15 (step @p252 :rule trans :premises (@p251 @p240)) % 0.94/1.15 (step @p253 :rule bool-impl-elim :args (@t49 @t303)) % 0.94/1.15 (step @p254 :rule cong :premises (@p253) :args ((forall @t3 (=> @t49 @t303)))) % 0.94/1.15 (step @p255 :rule trans :premises (@p254 @p252)) % 0.94/1.15 (step @p256 :rule eq-symm :args (@t162 @t115)) % 0.94/1.15 (step @p257 :rule bool-impl-elim :args (@t118 @t163)) % 0.94/1.15 (step @p258 :rule cong :premises (@p257) :args (@t164)) % 0.94/1.15 (step @p259 :rule refl :args (@t165)) % 0.94/1.15 (step @p260 :rule nary_cong :premises (@p259 @p258 @p256) :args (@t166)) % 0.94/1.15 (step @p261 :rule cong :premises (@p217 @p260) :args (@t167)) % 0.94/1.15 (step @p262 :rule cong :premises (@p261) :args (@t168)) % 0.94/1.15 (step @p263 :rule trans :premises (@p262 @p255)) % 0.94/1.15 (step @p264 :rule and_elim :premises (@p90) :args (2)) % 0.94/1.15 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 0.94/1.15 (step @p266 :rule eq-symm :args (@t216 @t209)) % 0.94/1.15 (step @p267 :rule refl :args (@t304)) % 0.94/1.15 (step @p268 :rule refl :args (@t305)) % 0.94/1.15 (step @p269 :rule nary_cong :premises (@p268 @p267 @p266) :args (@t306)) % 0.94/1.15 (step @p270 :rule refl :args (@t287)) % 0.94/1.15 (step @p271 :rule nary_cong :premises (@p270 @p269) :args (@t307)) % 0.94/1.15 (step @p272 :rule refl :args (@t294)) % 0.94/1.15 (step @p273 :rule cong :premises (@p272 @p271) :args ((=> @t294 @t307))) % 0.94/1.15 (assume-push @p320 @t294) % 0.94/1.15 (step @p275 :rule instantiate :premises (@p265) :args ((@list tptp.xn @t216))) % 0.94/1.15 (step-pop @p321 :rule scope :premises (@p275)) % 0.94/1.15 (step @p276 :rule process_scope :premises (@p321) :args (@t307)) % 0.94/1.15 (step @p278 :rule eq_resolve :premises (@p276 @p273)) % 0.94/1.15 (step @p279 :rule implies_elim :premises (@p278)) % 0.94/1.15 (step @p280 :rule chain_m_resolution :premises (@p279 @p265) :args (@t310 @t278 (@list @t294))) % 0.94/1.15 (step @p281 :rule cnf_or_pos :args (@t310)) % 0.94/1.15 (step @p282 :rule reordering :premises (@p281) :args ((or @t287 @t309 (not @t310)))) % 0.94/1.15 (step @p283 :rule chain_m_resolution :premises (@p282 @p235 @p280) :args (@t309 (@list false false) (@list @t210 @t310))) % 0.94/1.15 (step @p284 :rule cnf_and_pos :args (@t309 2)) % 0.94/1.15 (step @p285 :rule reordering :premises (@p284) :args ((or @t308 (not @t309)))) % 0.94/1.15 (step @p286 :rule chain_m_resolution :premises (@p285 @p283) :args (@t308 @t278 (@list @t309))) % 0.94/1.15 (assume-push @p322 @t202) % 0.94/1.15 (assume-push @p323 @t205) % 0.94/1.15 (assume-push @p324 @t224) % 0.94/1.15 (assume-push @p325 @t311) % 0.94/1.15 (assume-push @p326 @t240) % 0.94/1.15 (assume-push @p327 @t285) % 0.94/1.15 (assume-push @p328 @t308) % 0.94/1.15 (step @p294 :rule symm :premises (@p156)) % 0.94/1.15 (step @p295 :rule symm :premises (@p118)) % 0.94/1.15 (step @p296 :rule refl :args (tptp.xQ)) % 0.94/1.15 (step @p297 :rule cong :premises (@p296 @p295) :args (@t204)) % 0.94/1.15 (step @p298 :rule cong :premises (@p297 @p295) :args ((tptp.sdtpldt0 @t204 @t201))) % 0.94/1.15 (step @p299 :rule symm :premises (@p286)) % 0.94/1.15 (step @p300 :rule trans :premises (@p299 @p120 @p118)) % 0.94/1.15 (step @p301 :rule cong :premises (@p119 @p300) :args (@t222)) % 0.94/1.15 (step @p302 :rule trans :premises (@p301 @p298 @p294)) % 0.94/1.15 (step @p303 :rule refl :args (tptp.xc)) % 0.94/1.15 (step @p304 :rule cong :premises (@p303 @p302) :args (@t223)) % 0.94/1.15 (step @p305 :rule symm :premises (@p122)) % 0.94/1.15 (step @p306 :rule trans :premises (@p239 @p305 @p304)) % 0.94/1.15 (step-pop @p329 :rule scope :premises (@p306)) % 0.94/1.15 (step-pop @p330 :rule scope :premises (@p329)) % 0.94/1.15 (step-pop @p331 :rule scope :premises (@p330)) % 0.94/1.15 (step-pop @p332 :rule scope :premises (@p331)) % 0.94/1.15 (step-pop @p333 :rule scope :premises (@p332)) % 0.94/1.15 (step-pop @p334 :rule scope :premises (@p333)) % 0.94/1.15 (step-pop @p335 :rule scope :premises (@p334)) % 0.94/1.15 (step @p307 :rule process_scope :premises (@p335) :args (@t312)) % 0.94/1.15 (step @p315 :rule implies_elim :premises (@p307)) % 0.94/1.15 (step @p316 :rule cnf_and_neg :args (@t313)) % 0.94/1.15 (step @p317 :rule resolution :premises (@p316 @p315) :args (true @t313)) % 0.94/1.15 (step @p318 :rule reordering :premises (@p317) :args ((or @t312 (not @t202) (not @t205) (not @t311) (not @t224) (not @t240) (not @t285) (not @t308)))) % 0.94/1.15 (step @p319 false :rule chain_m_resolution :premises (@p318 @p286 @p239 @p156 @p123 @p122 @p121 @p119 @p118) :args (false (@list false false false true false false false false) (@list @t308 @t285 @t240 @t312 @t224 @t311 @t205 @t202))) % 0.94/1.15 ) % 0.94/1.15 % SZS output end Proof % 0.94/1.15 % cvc5 exiting %------------------------------------------------------------------------------