%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM630+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:40:04 AM UTC 2026 % Result : Theorem 0.95s 1.19s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM630+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.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 11:38:23 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.95/1.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.95/1.19 % SZS status Theorem % 0.95/1.19 % SZS output start Proof % 0.95/1.19 ( % 0.95/1.19 (declare-sort $$unsorted 0) % 0.95/1.19 (declare-const tptp.xD $$unsorted) % 0.95/1.19 (declare-const tptp.xn $$unsorted) % 0.95/1.19 (declare-const tptp.xQ $$unsorted) % 0.95/1.19 (declare-const tptp.xN $$unsorted) % 0.95/1.19 (declare-const tptp.sz00 $$unsorted) % 0.95/1.19 (declare-const tptp.xC $$unsorted) % 0.95/1.19 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.95/1.19 (declare-const tptp.szNzAzT0 $$unsorted) % 0.95/1.19 (declare-const tptp.xk $$unsorted) % 0.95/1.19 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.95/1.19 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.95/1.19 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.95/1.19 (declare-const tptp.xd $$unsorted) % 0.95/1.19 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.95/1.19 (declare-const tptp.xP $$unsorted) % 0.95/1.19 (declare-const tptp.xO $$unsorted) % 0.95/1.19 (declare-const tptp.xe $$unsorted) % 0.95/1.19 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.95/1.19 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.95/1.19 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.95/1.19 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.95/1.19 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.xK $$unsorted) % 0.95/1.19 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.xp $$unsorted) % 0.95/1.19 (declare-const tptp.xT $$unsorted) % 0.95/1.19 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.xS $$unsorted) % 0.95/1.19 (declare-const tptp.xc $$unsorted) % 0.95/1.19 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.slcrc0 $$unsorted) % 0.95/1.19 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.19 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.19 (define @t1 () (@var "W0" $$unsorted)) % 0.95/1.19 (define @t2 () (tptp.aSet0 @t1)) % 0.95/1.19 (define @t3 () (@list @t1)) % 0.95/1.19 (define @t4 () (tptp.aElement0 @t1)) % 0.95/1.19 (define @t5 () (@var "W1" $$unsorted)) % 0.95/1.19 (define @t6 () (tptp.aElement0 @t5)) % 0.95/1.19 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.95/1.19 (define @t8 () (@list @t5)) % 0.95/1.19 (define @t9 () (tptp.isFinite0 @t1)) % 0.95/1.19 (define @t10 () (= @t1 tptp.slcrc0)) % 0.95/1.19 (define @t11 () (tptp.isCountable0 @t1)) % 0.95/1.19 (define @t12 () (not @t9)) % 0.95/1.19 (define @t13 () (and @t2 @t11)) % 0.95/1.19 (define @t14 () (not @t10)) % 0.95/1.19 (define @t15 () (@var "W2" $$unsorted)) % 0.95/1.19 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.95/1.19 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.95/1.19 (define @t18 () (@list @t15)) % 0.95/1.19 (define @t19 () (tptp.aSet0 @t5)) % 0.95/1.19 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.95/1.19 (define @t21 () (tptp.isFinite0 @t5)) % 0.95/1.19 (define @t22 () (and @t2 @t9)) % 0.95/1.19 (define @t23 () (= @t1 @t5)) % 0.95/1.19 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 0.95/1.19 (define @t25 () (@list @t1 @t5)) % 0.95/1.19 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 0.95/1.19 (define @t27 () (tptp.aSet0 @t15)) % 0.95/1.19 (define @t28 () (@list @t1 @t5 @t15)) % 0.95/1.19 (define @t29 () (@var "W3" $$unsorted)) % 0.95/1.19 (define @t30 () (= @t29 @t5)) % 0.95/1.19 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 0.95/1.19 (define @t32 () (tptp.aElement0 @t29)) % 0.95/1.19 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 0.95/1.19 (define @t34 () (@list @t29)) % 0.95/1.19 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 0.95/1.19 (define @t36 () (and @t2 @t6)) % 0.95/1.19 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 0.95/1.19 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 0.95/1.19 (define @t39 () (tptp.isCountable0 @t5)) % 0.95/1.19 (define @t40 () (and @t19 @t39)) % 0.95/1.19 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 0.95/1.19 (define @t42 () (and @t19 @t21)) % 0.95/1.19 (define @t43 () (tptp.aSet0 tptp.szNzAzT0)) % 0.95/1.19 (define @t44 () (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.95/1.19 (define @t45 () (tptp.szszuzczcdt0 @t1)) % 0.95/1.19 (define @t46 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.95/1.19 (define @t47 () (tptp.szszuzczcdt0 @t5)) % 0.95/1.19 (define @t48 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.95/1.19 (define @t49 () (and @t46 @t48)) % 0.95/1.19 (define @t50 () (= @t1 tptp.sz00)) % 0.95/1.19 (define @t51 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.95/1.19 (define @t52 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.95/1.19 (define @t53 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.95/1.19 (define @t54 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.95/1.19 (define @t55 () (tptp.sbrdtbr0 @t1)) % 0.95/1.19 (define @t56 () (tptp.sbrdtbr0 @t5)) % 0.95/1.19 (define @t57 () (tptp.sbrdtbr0 @t15)) % 0.95/1.19 (define @t58 () (and @t2 @t48)) % 0.95/1.19 (define @t59 () (tptp.szmzizndt0 @t1)) % 0.95/1.19 (define @t60 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.95/1.19 (define @t61 () (tptp.szmzizndt0 @t5)) % 0.95/1.19 (define @t62 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.95/1.19 (define @t63 () (tptp.slbdtrb0 @t1)) % 0.95/1.19 (define @t64 () (tptp.slbdtrb0 @t5)) % 0.95/1.19 (define @t65 () (tptp.sbrdtbr0 @t29)) % 0.95/1.19 (define @t66 () (tptp.aSubsetOf0 @t29 @t1)) % 0.95/1.19 (define @t67 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.95/1.19 (define @t68 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.95/1.19 (define @t69 () (tptp.aFunction0 @t1)) % 0.95/1.19 (define @t70 () (tptp.szDzozmdt0 @t1)) % 0.95/1.19 (define @t71 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.95/1.19 (define @t72 () (tptp.aElementOf0 @t5 @t70)) % 0.95/1.19 (define @t73 () (tptp.sdtlpdtrp0 @t1 @t29)) % 0.95/1.19 (define @t74 () (tptp.aElementOf0 @t29 @t70)) % 0.95/1.19 (define @t75 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.95/1.19 (define @t76 () (and @t69 @t6)) % 0.95/1.19 (define @t77 () (@var "W4" $$unsorted)) % 0.95/1.19 (define @t78 () (tptp.aElementOf0 @t77 @t5)) % 0.95/1.19 (define @t79 () (@list @t77)) % 0.95/1.19 (define @t80 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.95/1.19 (define @t81 () (tptp.aSubsetOf0 @t5 @t70)) % 0.95/1.19 (define @t82 () (tptp.sdtlcdtrc0 @t1 @t70)) % 0.95/1.19 (define @t83 () (tptp.aElementOf0 @t29 @t5)) % 0.95/1.19 (define @t84 () (tptp.szDzozmdt0 @t15)) % 0.95/1.19 (define @t85 () (tptp.aFunction0 @t15)) % 0.95/1.19 (define @t86 () (tptp.szDzizrdt0 @t1)) % 0.95/1.19 (define @t87 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.95/1.19 (define @t88 () (tptp.szDzozmdt0 tptp.xc)) % 0.95/1.19 (define @t89 () (tptp.sdtlcdtrc0 tptp.xc @t88)) % 0.95/1.19 (define @t90 () (tptp.aElementOf0 @t1 tptp.xT)) % 0.95/1.19 (define @t91 () (tptp.aElementOf0 @t1 @t89)) % 0.95/1.19 (define @t92 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 0.95/1.19 (define @t93 () (tptp.aElementOf0 @t1 @t88)) % 0.95/1.19 (define @t94 () (= @t55 tptp.xK)) % 0.95/1.19 (define @t95 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.95/1.19 (define @t96 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.95/1.19 (define @t97 () (@var "W5" $$unsorted)) % 0.95/1.19 (define @t98 () (@var "W6" $$unsorted)) % 0.95/1.19 (define @t99 () (@list @t97)) % 0.95/1.19 (define @t100 () (tptp.aElementOf0 @t29 tptp.xT)) % 0.95/1.19 (define @t101 () (tptp.sdtlcdtrc0 @t15 @t84)) % 0.95/1.19 (define @t102 () (tptp.aElementOf0 @t29 @t101)) % 0.95/1.19 (define @t103 () (tptp.aElementOf0 @t29 @t84)) % 0.95/1.19 (define @t104 () (= @t65 @t1)) % 0.95/1.19 (define @t105 () (tptp.aSubsetOf0 @t29 @t5)) % 0.95/1.19 (define @t106 () (tptp.aElementOf0 @t77 @t29)) % 0.95/1.19 (define @t107 () (forall @t79 (=> @t106 @t78))) % 0.95/1.19 (define @t108 () (tptp.aSet0 @t29)) % 0.95/1.19 (define @t109 () (tptp.sdtlpdtrp0 tptp.xN @t45)) % 0.95/1.19 (define @t110 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.95/1.19 (define @t111 () (tptp.szmzizndt0 @t110)) % 0.95/1.19 (define @t112 () (tptp.sdtmndt0 @t110 @t111)) % 0.95/1.19 (define @t113 () (tptp.aElementOf0 @t5 @t112)) % 0.95/1.19 (define @t114 () (tptp.aElementOf0 @t5 @t110)) % 0.95/1.19 (define @t115 () (forall @t8 (= @t113 (and @t6 @t114 (not (= @t5 @t111)))))) % 0.95/1.19 (define @t116 () (tptp.aSet0 @t112)) % 0.95/1.19 (define @t117 () (tptp.sdtlseqdt0 @t111 @t5)) % 0.95/1.19 (define @t118 () (forall @t8 (=> @t114 @t117))) % 0.95/1.19 (define @t119 () (tptp.aElementOf0 @t111 @t110)) % 0.95/1.19 (define @t120 () (tptp.isCountable0 @t110)) % 0.95/1.19 (define @t121 () (tptp.aSubsetOf0 @t110 tptp.szNzAzT0)) % 0.95/1.19 (define @t122 () (forall @t8 (=> @t114 @t48))) % 0.95/1.19 (define @t123 () (tptp.aSet0 @t110)) % 0.95/1.19 (define @t124 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.95/1.19 (define @t125 () (tptp.aElementOf0 @t15 @t124)) % 0.95/1.19 (define @t126 () (tptp.aElementOf0 @t15 @t110)) % 0.95/1.19 (define @t127 () (tptp.sdtlseqdt0 @t111 @t15)) % 0.95/1.19 (define @t128 () (forall @t18 (=> @t126 @t127))) % 0.95/1.19 (define @t129 () (and @t119 @t128)) % 0.95/1.19 (define @t130 () (tptp.sdtpldt0 @t5 @t111)) % 0.95/1.19 (define @t131 () (tptp.aElementOf0 @t15 @t130)) % 0.95/1.19 (define @t132 () (= @t15 @t111)) % 0.95/1.19 (define @t133 () (tptp.aElement0 @t15)) % 0.95/1.19 (define @t134 () (forall @t18 (= @t131 (and @t133 (or @t17 @t132))))) % 0.95/1.19 (define @t135 () (tptp.slbdtsldtrb0 @t112 tptp.xk)) % 0.95/1.19 (define @t136 () (tptp.aElementOf0 @t5 @t135)) % 0.95/1.19 (define @t137 () (= @t56 tptp.xk)) % 0.95/1.19 (define @t138 () (tptp.aSubsetOf0 @t5 @t112)) % 0.95/1.19 (define @t139 () (tptp.aElementOf0 @t15 @t112)) % 0.95/1.19 (define @t140 () (forall @t18 (=> @t17 @t139))) % 0.95/1.19 (define @t141 () (or @t140 @t138)) % 0.95/1.19 (define @t142 () (and @t141 @t137)) % 0.95/1.19 (define @t143 () (or @t142 @t136)) % 0.95/1.19 (define @t144 () (forall @t18 (= @t139 (and @t133 @t126 (not @t132))))) % 0.95/1.19 (define @t145 () (and @t116 @t144)) % 0.95/1.19 (define @t146 () (=> @t145 @t143)) % 0.95/1.19 (define @t147 () (=> @t129 @t146)) % 0.95/1.19 (define @t148 () (and @t19 @t147)) % 0.95/1.19 (define @t149 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 0.95/1.19 (define @t150 () (tptp.sdtlpdtrp0 @t149 @t5)) % 0.95/1.19 (define @t151 () (= @t150 (tptp.sdtlpdtrp0 tptp.xc @t130))) % 0.95/1.19 (define @t152 () (and @t119 @t128 @t134 @t151)) % 0.95/1.19 (define @t153 () (=> @t148 @t152)) % 0.95/1.19 (define @t154 () (forall @t8 @t153)) % 0.95/1.19 (define @t155 () (tptp.szDzozmdt0 @t149)) % 0.95/1.19 (define @t156 () (tptp.aElementOf0 @t5 @t155)) % 0.95/1.19 (define @t157 () (and @t19 @t140)) % 0.95/1.19 (define @t158 () (or @t157 @t138)) % 0.95/1.19 (define @t159 () (and @t158 @t137)) % 0.95/1.19 (define @t160 () (=> @t159 @t156)) % 0.95/1.19 (define @t161 () (and @t19 @t140 @t138 @t137)) % 0.95/1.19 (define @t162 () (=> @t156 @t161)) % 0.95/1.19 (define @t163 () (and @t162 @t160)) % 0.95/1.19 (define @t164 () (forall @t8 @t163)) % 0.95/1.19 (define @t165 () (tptp.aFunction0 @t149)) % 0.95/1.19 (define @t166 () (and @t165 @t119 @t118 @t116 @t115 @t164 (= @t155 @t135) @t154)) % 0.95/1.19 (define @t167 () (=> @t46 @t166)) % 0.95/1.19 (define @t168 () (forall @t3 @t167)) % 0.95/1.19 (define @t169 () (tptp.sdtlcdtrc0 @t149 @t155)) % 0.95/1.19 (define @t170 () (tptp.aElementOf0 @t5 tptp.xT)) % 0.95/1.19 (define @t171 () (tptp.aElementOf0 @t5 @t169)) % 0.95/1.19 (define @t172 () (= (tptp.sdtlpdtrp0 @t149 @t15) @t5)) % 0.95/1.19 (define @t173 () (tptp.aSubsetOf0 @t15 @t112)) % 0.95/1.19 (define @t174 () (tptp.aElementOf0 @t29 @t112)) % 0.95/1.19 (define @t175 () (forall @t34 (=> @t33 @t174))) % 0.95/1.19 (define @t176 () (tptp.aElementOf0 @t29 @t110)) % 0.95/1.19 (define @t177 () (forall @t34 (= @t174 (and @t32 @t176 (not (= @t29 @t111)))))) % 0.95/1.19 (define @t178 () (forall @t34 (=> @t176 (tptp.sdtlseqdt0 @t111 @t29)))) % 0.95/1.19 (define @t179 () (= @t57 tptp.xk)) % 0.95/1.19 (define @t180 () (tptp.slbdtsldtrb0 @t109 tptp.xk)) % 0.95/1.19 (define @t181 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 0.95/1.19 (define @t182 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 0.95/1.19 (define @t183 () (tptp.szDzozmdt0 tptp.xd)) % 0.95/1.19 (define @t184 () (tptp.sdtlcdtrc0 tptp.xd @t183)) % 0.95/1.19 (define @t185 () (tptp.aElementOf0 @t1 @t184)) % 0.95/1.19 (define @t186 () (tptp.sdtlpdtrp0 tptp.xd @t5)) % 0.95/1.19 (define @t187 () (tptp.szDzizrdt0 tptp.xd)) % 0.95/1.19 (define @t188 () (tptp.sdtlbdtrb0 tptp.xd @t187)) % 0.95/1.19 (define @t189 () (tptp.aElementOf0 @t1 @t188)) % 0.95/1.19 (define @t190 () (forall @t3 (= @t189 (and (tptp.aElementOf0 @t1 @t183) (= @t182 @t187))))) % 0.95/1.19 (define @t191 () (tptp.aSet0 @t188)) % 0.95/1.19 (define @t192 () (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)) % 0.95/1.19 (define @t193 () (tptp.aElementOf0 @t5 @t188)) % 0.95/1.19 (define @t194 () (exists @t8 (and @t193 @t192))) % 0.95/1.19 (define @t195 () (tptp.aElementOf0 @t1 tptp.xO)) % 0.95/1.19 (define @t196 () (tptp.aSet0 tptp.xO)) % 0.95/1.19 (define @t197 () (tptp.aElementOf0 @t1 tptp.xQ)) % 0.95/1.19 (define @t198 () (forall @t3 (=> @t197 @t195))) % 0.95/1.19 (define @t199 () (tptp.aSubsetOf0 tptp.xQ tptp.xS)) % 0.95/1.19 (define @t200 () (forall @t3 (=> @t197 @t87))) % 0.95/1.19 (define @t201 () (tptp.szmzizndt0 tptp.xQ)) % 0.95/1.19 (define @t202 () (tptp.aElementOf0 tptp.xp tptp.xQ)) % 0.95/1.19 (define @t203 () (tptp.aElementOf0 @t1 tptp.xP)) % 0.95/1.19 (define @t204 () (tptp.aSet0 tptp.xP)) % 0.95/1.19 (define @t205 () (tptp.sbrdtbr0 tptp.xP)) % 0.95/1.19 (define @t206 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0)) % 0.95/1.19 (define @t207 () (= (tptp.sdtlpdtrp0 tptp.xd tptp.xn) @t187)) % 0.95/1.19 (define @t208 () (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn))) % 0.95/1.19 (define @t209 () (tptp.sdtlpdtrp0 tptp.xN tptp.xn)) % 0.95/1.19 (define @t210 () (tptp.szmzizndt0 @t209)) % 0.95/1.19 (define @t211 () (tptp.sdtmndt0 @t209 @t210)) % 0.95/1.19 (define @t212 () (= @t1 @t210)) % 0.95/1.19 (define @t213 () (tptp.aElementOf0 @t1 @t209)) % 0.95/1.19 (define @t214 () (tptp.aElementOf0 @t1 tptp.xD)) % 0.95/1.19 (define @t215 () (tptp.sdtlseqdt0 @t210 @t1)) % 0.95/1.19 (define @t216 () (forall @t3 (=> @t213 @t215))) % 0.95/1.19 (define @t217 () (tptp.slbdtsldtrb0 tptp.xD tptp.xk)) % 0.95/1.19 (define @t218 () (tptp.aElementOf0 tptp.xP @t217)) % 0.95/1.19 (define @t219 () (tptp.sdtlpdtrp0 tptp.xC tptp.xn)) % 0.95/1.19 (define @t220 () (tptp.sdtlpdtrp0 @t219 tptp.xP)) % 0.95/1.19 (define @t221 () (tptp.sdtpldt0 tptp.xP @t210)) % 0.95/1.19 (define @t222 () (tptp.sdtlpdtrp0 tptp.xc @t221)) % 0.95/1.19 (define @t223 () (= @t222 @t220)) % 0.95/1.19 (define @t224 () (=> (and (tptp.aSet0 @t221) (forall @t3 (= (tptp.aElementOf0 @t1 @t221) (and @t4 (or @t203 @t212))))) @t223)) % 0.95/1.19 (define @t225 () (=> @t216 @t224)) % 0.95/1.19 (define @t226 () (not @t225)) % 0.95/1.19 (define @t227 () (@var "BOUND_VARIABLE_10629" $$unsorted)) % 0.95/1.19 (define @t228 () (or (and (or (not (tptp.aSet0 @t227)) (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t227)) @t139)))) (not (tptp.aSubsetOf0 @t227 @t112))) (not (= tptp.xk (tptp.sbrdtbr0 @t227))) (tptp.aElementOf0 @t227 @t155))) % 0.95/1.19 (define @t229 () (@var "BOUND_VARIABLE_10613" $$unsorted)) % 0.95/1.19 (define @t230 () (@var "BOUND_VARIABLE_10615" $$unsorted)) % 0.95/1.19 (define @t231 () (or (not (tptp.aElementOf0 @t229 @t155)) (and (tptp.aSet0 @t229) (or (not (tptp.aElementOf0 @t230 @t229)) (tptp.aElementOf0 @t230 @t112)) (tptp.aSubsetOf0 @t229 @t112) (= tptp.xk (tptp.sbrdtbr0 @t229))))) % 0.95/1.19 (define @t232 () (@var "BOUND_VARIABLE_10558" $$unsorted)) % 0.95/1.19 (define @t233 () (tptp.sdtpldt0 @t232 @t111)) % 0.95/1.19 (define @t234 () (@var "BOUND_VARIABLE_10566" $$unsorted)) % 0.95/1.19 (define @t235 () (@var "BOUND_VARIABLE_10564" $$unsorted)) % 0.95/1.19 (define @t236 () (and @t119 (or (not (tptp.aElementOf0 @t235 @t110)) (tptp.sdtlseqdt0 @t111 @t235)) (= (tptp.aElementOf0 @t234 @t233) (and (tptp.aElement0 @t234) (or (tptp.aElementOf0 @t234 @t232) (= @t111 @t234)))) (= (tptp.sdtlpdtrp0 @t149 @t232) (tptp.sdtlpdtrp0 tptp.xc @t233)))) % 0.95/1.19 (define @t237 () (not (tptp.aElementOf0 @t232 @t135))) % 0.95/1.19 (define @t238 () (tptp.sbrdtbr0 @t232)) % 0.95/1.19 (define @t239 () (not (= @t238 tptp.xk))) % 0.95/1.19 (define @t240 () (and (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t232)) @t139))) (not (tptp.aSubsetOf0 @t232 @t112)))) % 0.95/1.19 (define @t241 () (or @t240 @t239)) % 0.95/1.19 (define @t242 () (@var "BOUND_VARIABLE_10562" $$unsorted)) % 0.95/1.19 (define @t243 () (= (tptp.aElementOf0 @t242 @t112) (and (tptp.aElement0 @t242) (tptp.aElementOf0 @t242 @t110) (not (= @t111 @t242))))) % 0.95/1.19 (define @t244 () (@var "BOUND_VARIABLE_10560" $$unsorted)) % 0.95/1.19 (define @t245 () (or (not (tptp.aElementOf0 @t244 @t110)) (tptp.sdtlseqdt0 @t111 @t244))) % 0.95/1.19 (define @t246 () (and @t119 @t245 @t116 @t243 @t241 @t237)) % 0.95/1.19 (define @t247 () (not (tptp.aSet0 @t232))) % 0.95/1.19 (define @t248 () (or @t247 @t246 @t236)) % 0.95/1.19 (define @t249 () (= @t135 @t155)) % 0.95/1.19 (define @t250 () (@var "BOUND_VARIABLE_10549" $$unsorted)) % 0.95/1.19 (define @t251 () (not (= @t250 @t111))) % 0.95/1.19 (define @t252 () (tptp.aElementOf0 @t250 @t110)) % 0.95/1.19 (define @t253 () (tptp.aElement0 @t250)) % 0.95/1.19 (define @t254 () (and @t253 @t252 @t251)) % 0.95/1.19 (define @t255 () (tptp.aElementOf0 @t250 @t112)) % 0.95/1.19 (define @t256 () (= @t255 @t254)) % 0.95/1.19 (define @t257 () (@var "BOUND_VARIABLE_10543" $$unsorted)) % 0.95/1.19 (define @t258 () (or (not (tptp.aElementOf0 @t257 @t110)) (tptp.sdtlseqdt0 @t111 @t257))) % 0.95/1.19 (define @t259 () (and @t165 @t119 @t258 @t116 @t256 @t249 @t248 @t231 @t228)) % 0.95/1.19 (define @t260 () (not @t46)) % 0.95/1.19 (define @t261 () (or @t260 @t259)) % 0.95/1.19 (define @t262 () (@list @t1 @t257 @t250 @t232 @t244 @t242 @t235 @t234 @t229 @t230 @t227)) % 0.95/1.19 (define @t263 () (forall @t262 @t261)) % 0.95/1.19 (define @t264 () (@list @t257 @t250 @t232 @t244 @t242 @t235 @t234 @t229 @t230 @t227)) % 0.95/1.19 (define @t265 () (forall @t264 @t261)) % 0.95/1.19 (define @t266 () (forall (@list @t227) @t228)) % 0.95/1.19 (define @t267 () (@var "BOUND_VARIABLE_10444" $$unsorted)) % 0.95/1.19 (define @t268 () (@list @t267)) % 0.95/1.19 (define @t269 () (forall @t264 @t228)) % 0.95/1.19 (define @t270 () (forall (@list @t229 @t230) @t231)) % 0.95/1.19 (define @t271 () (@var "BOUND_VARIABLE_10469" $$unsorted)) % 0.95/1.19 (define @t272 () (@var "BOUND_VARIABLE_10428" $$unsorted)) % 0.95/1.19 (define @t273 () (forall @t264 @t231)) % 0.95/1.19 (define @t274 () (forall (@list @t232 @t244 @t242 @t235 @t234) @t248)) % 0.95/1.19 (define @t275 () (@var "BOUND_VARIABLE_10512" $$unsorted)) % 0.95/1.19 (define @t276 () (@var "BOUND_VARIABLE_10506" $$unsorted)) % 0.95/1.19 (define @t277 () (@var "BOUND_VARIABLE_10496" $$unsorted)) % 0.95/1.19 (define @t278 () (@var "BOUND_VARIABLE_10490" $$unsorted)) % 0.95/1.19 (define @t279 () (forall @t264 @t248)) % 0.95/1.19 (define @t280 () (forall @t264 @t249)) % 0.95/1.19 (define @t281 () (forall (@list @t250) @t256)) % 0.95/1.19 (define @t282 () (@list @t5)) % 0.95/1.19 (define @t283 () (forall @t264 @t256)) % 0.95/1.19 (define @t284 () (forall @t264 @t116)) % 0.95/1.19 (define @t285 () (forall (@list @t257) @t258)) % 0.95/1.19 (define @t286 () (forall @t264 @t258)) % 0.95/1.19 (define @t287 () (forall @t264 @t119)) % 0.95/1.19 (define @t288 () (forall @t264 @t165)) % 0.95/1.19 (define @t289 () (and @t288 @t287 @t286 @t284 @t283 @t280 @t279 @t273 @t269)) % 0.95/1.19 (define @t290 () (forall @t264 @t259)) % 0.95/1.19 (define @t291 () (or @t260 @t290)) % 0.95/1.19 (define @t292 () (tptp.aElementOf0 @t267 @t155)) % 0.95/1.19 (define @t293 () (tptp.sbrdtbr0 @t267)) % 0.95/1.19 (define @t294 () (and (or (not (tptp.aSet0 @t267)) (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t267)) @t139)))) (not (tptp.aSubsetOf0 @t267 @t112)))) % 0.95/1.19 (define @t295 () (@list @t267)) % 0.95/1.19 (define @t296 () (forall @t295 (or @t294 (not (= tptp.xk @t293)) @t292))) % 0.95/1.19 (define @t297 () (tptp.sbrdtbr0 @t272)) % 0.95/1.19 (define @t298 () (= tptp.xk @t297)) % 0.95/1.19 (define @t299 () (tptp.aSubsetOf0 @t272 @t112)) % 0.95/1.19 (define @t300 () (or (not (tptp.aElementOf0 @t271 @t272)) (tptp.aElementOf0 @t271 @t112))) % 0.95/1.19 (define @t301 () (tptp.aSet0 @t272)) % 0.95/1.19 (define @t302 () (and @t301 @t300 @t299 @t298)) % 0.95/1.19 (define @t303 () (not (tptp.aElementOf0 @t272 @t155))) % 0.95/1.19 (define @t304 () (or @t303 @t302)) % 0.95/1.19 (define @t305 () (forall (@list @t272 @t271) @t304)) % 0.95/1.19 (define @t306 () (tptp.aElementOf0 @t275 @t5)) % 0.95/1.19 (define @t307 () (tptp.aElement0 @t275)) % 0.95/1.19 (define @t308 () (tptp.aElementOf0 @t275 @t130)) % 0.95/1.19 (define @t309 () (or (not (tptp.aElementOf0 @t276 @t110)) (tptp.sdtlseqdt0 @t111 @t276))) % 0.95/1.19 (define @t310 () (not @t136)) % 0.95/1.19 (define @t311 () (not @t137)) % 0.95/1.19 (define @t312 () (not @t138)) % 0.95/1.19 (define @t313 () (forall @t18 (or (not @t17) @t139))) % 0.95/1.19 (define @t314 () (not @t313)) % 0.95/1.19 (define @t315 () (or (and @t314 @t312) @t311)) % 0.95/1.19 (define @t316 () (tptp.aElementOf0 @t277 @t110)) % 0.95/1.19 (define @t317 () (tptp.aElement0 @t277)) % 0.95/1.19 (define @t318 () (tptp.aElementOf0 @t277 @t112)) % 0.95/1.19 (define @t319 () (or (not (tptp.aElementOf0 @t278 @t110)) (tptp.sdtlseqdt0 @t111 @t278))) % 0.95/1.19 (define @t320 () (not @t19)) % 0.95/1.19 (define @t321 () (@list @t5 @t278 @t277 @t276 @t275)) % 0.95/1.19 (define @t322 () (forall @t321 (or @t320 (and @t119 @t319 @t116 (= @t318 (and @t317 @t316 (not (= @t111 @t277)))) @t315 @t310) (and @t119 @t309 (= @t308 (and @t307 (or @t306 (= @t111 @t275)))) @t151)))) % 0.95/1.19 (define @t323 () (forall @t8 (or (not @t114) @t117))) % 0.95/1.19 (define @t324 () (and @t165 @t119 @t323 @t116 @t115 @t249 @t322 @t305 @t296)) % 0.95/1.19 (define @t325 () (or @t306 (= @t275 @t111))) % 0.95/1.19 (define @t326 () (and @t307 @t325)) % 0.95/1.19 (define @t327 () (= @t308 @t326)) % 0.95/1.19 (define @t328 () (and @t119 @t309 @t327 @t151)) % 0.95/1.19 (define @t329 () (not (= @t277 @t111))) % 0.95/1.19 (define @t330 () (and @t317 @t316 @t329)) % 0.95/1.19 (define @t331 () (= @t318 @t330)) % 0.95/1.19 (define @t332 () (and @t119 @t319 @t116 @t331 @t315 @t310)) % 0.95/1.19 (define @t333 () (or @t320 @t332 @t328)) % 0.95/1.19 (define @t334 () (forall @t321 @t333)) % 0.95/1.19 (define @t335 () (forall (@list @t278 @t277 @t276 @t275) @t333)) % 0.95/1.19 (define @t336 () (@list @t276 @t275)) % 0.95/1.19 (define @t337 () (forall @t336 @t151)) % 0.95/1.19 (define @t338 () (forall (@list @t275) @t327)) % 0.95/1.19 (define @t339 () (@list @t15)) % 0.95/1.19 (define @t340 () (forall @t336 @t327)) % 0.95/1.19 (define @t341 () (forall (@list @t276) @t309)) % 0.95/1.19 (define @t342 () (forall @t336 @t309)) % 0.95/1.19 (define @t343 () (forall @t336 @t119)) % 0.95/1.19 (define @t344 () (and @t343 @t342 @t340 @t337)) % 0.95/1.19 (define @t345 () (forall @t336 @t328)) % 0.95/1.19 (define @t346 () (@list @t278 @t277)) % 0.95/1.19 (define @t347 () (forall @t346 @t310)) % 0.95/1.19 (define @t348 () (forall @t346 @t315)) % 0.95/1.19 (define @t349 () (forall (@list @t277) @t331)) % 0.95/1.19 (define @t350 () (forall @t346 @t331)) % 0.95/1.19 (define @t351 () (forall @t346 @t116)) % 0.95/1.19 (define @t352 () (forall (@list @t278) @t319)) % 0.95/1.19 (define @t353 () (forall @t346 @t319)) % 0.95/1.19 (define @t354 () (forall @t346 @t119)) % 0.95/1.19 (define @t355 () (and @t354 @t353 @t351 @t350 @t348 @t347)) % 0.95/1.19 (define @t356 () (forall @t346 @t332)) % 0.95/1.19 (define @t357 () (or @t320 @t356 @t345)) % 0.95/1.19 (define @t358 () (forall @t18 (or (not @t126) @t127))) % 0.95/1.19 (define @t359 () (and @t119 @t358 @t134 @t151)) % 0.95/1.19 (define @t360 () (and @t119 @t358 @t116 @t144 @t315 @t310)) % 0.95/1.19 (define @t361 () (or @t320 @t360 @t359)) % 0.95/1.19 (define @t362 () (and @t116 @t144 @t315 @t310)) % 0.95/1.19 (define @t363 () (and @t119 @t358)) % 0.95/1.19 (define @t364 () (or @t313 @t138)) % 0.95/1.19 (define @t365 () (and @t364 @t137)) % 0.95/1.19 (define @t366 () (or @t365 @t136)) % 0.95/1.19 (define @t367 () (=> @t145 @t366)) % 0.95/1.19 (define @t368 () (=> @t363 @t367)) % 0.95/1.19 (define @t369 () (and @t19 @t368)) % 0.95/1.19 (define @t370 () (not (= @t293 tptp.xk))) % 0.95/1.19 (define @t371 () (or @t294 @t370 @t292)) % 0.95/1.19 (define @t372 () (forall @t295 @t371)) % 0.95/1.19 (define @t373 () (@list @t271)) % 0.95/1.19 (define @t374 () (forall @t373 @t304)) % 0.95/1.19 (define @t375 () (@list @t272)) % 0.95/1.19 (define @t376 () (forall @t373 @t298)) % 0.95/1.19 (define @t377 () (forall @t373 @t299)) % 0.95/1.19 (define @t378 () (forall @t373 @t300)) % 0.95/1.19 (define @t379 () (forall @t373 @t301)) % 0.95/1.19 (define @t380 () (and @t379 @t378 @t377 @t376)) % 0.95/1.19 (define @t381 () (forall @t373 @t302)) % 0.95/1.19 (define @t382 () (or @t303 @t381)) % 0.95/1.19 (define @t383 () (forall @t18 (or (not (tptp.aElementOf0 @t15 @t272)) @t139))) % 0.95/1.19 (define @t384 () (and @t301 @t383 @t299 (= @t297 tptp.xk))) % 0.95/1.19 (define @t385 () (or @t303 @t384)) % 0.95/1.19 (define @t386 () (forall @t375 @t385)) % 0.95/1.19 (define @t387 () (and (or @t320 @t314) @t312)) % 0.95/1.19 (define @t388 () (or @t387 @t311 @t156)) % 0.95/1.19 (define @t389 () (forall @t8 @t388)) % 0.95/1.19 (define @t390 () (and @t19 @t313 @t138 @t137)) % 0.95/1.19 (define @t391 () (or (not @t156) @t390)) % 0.95/1.19 (define @t392 () (forall @t8 @t391)) % 0.95/1.19 (define @t393 () (and @t392 @t389)) % 0.95/1.19 (define @t394 () (and @t19 @t313)) % 0.95/1.19 (define @t395 () (or @t394 @t138)) % 0.95/1.19 (define @t396 () (and @t395 @t137)) % 0.95/1.19 (define @t397 () (and (=> @t156 @t390) (=> @t396 @t156))) % 0.95/1.19 (define @t398 () (tptp.szDzozmdt0 @t219)) % 0.95/1.19 (define @t399 () (tptp.aElementOf0 @t15 @t211)) % 0.95/1.19 (define @t400 () (or (and (or (not (tptp.aSet0 tptp.slcrc0)) (not (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.slcrc0)) @t399)))) (not (tptp.aSubsetOf0 tptp.slcrc0 @t211))) (not (= tptp.xk (tptp.sbrdtbr0 tptp.slcrc0))) (tptp.aElementOf0 tptp.slcrc0 @t398))) % 0.95/1.19 (define @t401 () (or (not (tptp.aElementOf0 tptp.szNzAzT0 @t398)) (and @t43 (or (not @t44) (tptp.aElementOf0 tptp.sz00 @t211)) (tptp.aSubsetOf0 tptp.szNzAzT0 @t211) (= tptp.xk (tptp.sbrdtbr0 tptp.szNzAzT0))))) % 0.95/1.19 (define @t402 () (@quantifiers_skolemize (forall @t8 (not (tptp.aElementOf0 @t5 @t221))) 0)) % 0.95/1.19 (define @t403 () (= (tptp.aElementOf0 @t402 @t221) (and (tptp.aElement0 @t402) (or (tptp.aElementOf0 @t402 tptp.xP) (= @t210 @t402))))) % 0.95/1.19 (define @t404 () (tptp.aElementOf0 @t210 @t209)) % 0.95/1.19 (define @t405 () (or (not @t404) (tptp.sdtlseqdt0 @t210 @t210))) % 0.95/1.19 (define @t406 () (and @t404 @t405 @t403 (= @t220 @t222))) % 0.95/1.19 (define @t407 () (tptp.slbdtsldtrb0 @t211 tptp.xk)) % 0.95/1.19 (define @t408 () (not (tptp.aElementOf0 tptp.xP @t407))) % 0.95/1.19 (define @t409 () (@quantifiers_skolemize (forall @t8 (not (tptp.aElementOf0 @t5 tptp.xD))) 0)) % 0.95/1.19 (define @t410 () (= (tptp.aElementOf0 @t409 @t211) (and (tptp.aElement0 @t409) (tptp.aElementOf0 @t409 @t209) (not (= @t210 @t409))))) % 0.95/1.19 (define @t411 () (tptp.aSet0 @t211)) % 0.95/1.19 (define @t412 () (and @t404 @t405 @t411 @t410 (or (and (not (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.xP)) @t399))) (not (tptp.aSubsetOf0 tptp.xP @t211))) (not (= tptp.xk @t205))) @t408)) % 0.95/1.19 (define @t413 () (not @t204)) % 0.95/1.19 (define @t414 () (or @t413 @t412 @t406)) % 0.95/1.19 (define @t415 () (tptp.aFunction0 @t219)) % 0.95/1.19 (define @t416 () (and @t415 @t404 @t405 @t411 @t410 (= @t407 @t398) @t414 @t401 @t400)) % 0.95/1.19 (define @t417 () (not @t206)) % 0.95/1.19 (define @t418 () (or @t417 @t416)) % 0.95/1.19 (define @t419 () (forall @t262 (or @t260 (and @t165 @t119 @t258 @t116 (= @t255 (and @t253 @t252 (not (= @t111 @t250)))) @t249 (or @t247 (and @t119 @t245 @t116 @t243 (or @t240 (not (= tptp.xk @t238))) @t237) @t236) @t231 @t228)))) % 0.95/1.19 (define @t420 () (and @t404 @t405 @t403 @t223)) % 0.95/1.19 (define @t421 () (or @t413 @t412 @t420)) % 0.95/1.19 (define @t422 () (and @t415 @t404 @t405 @t411 @t410 (= @t398 @t407) @t421 @t401 @t400)) % 0.95/1.19 (define @t423 () (or @t417 @t422)) % 0.95/1.19 (define @t424 () (@list false)) % 0.95/1.19 (define @t425 () (not @t420)) % 0.95/1.19 (assume @p1 (forall @t3 (=> @t2 true))) % 0.95/1.19 (assume @p2 (forall @t3 (=> @t4 true))) % 0.95/1.19 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.95/1.19 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.95/1.19 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.95/1.19 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.95/1.19 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.95/1.19 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.95/1.19 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.95/1.19 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.95/1.19 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 0.95/1.19 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.95/1.19 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 0.95/1.19 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 0.95/1.19 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 0.95/1.19 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 0.95/1.19 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 0.95/1.19 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 0.95/1.19 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 0.95/1.19 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 0.95/1.19 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 0.95/1.19 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 0.95/1.19 (assume @p23 (and @t43 (tptp.isCountable0 tptp.szNzAzT0))) % 0.95/1.19 (assume @p24 @t44) % 0.95/1.19 (assume @p25 (forall @t3 (=> @t46 (and (tptp.aElementOf0 @t45 tptp.szNzAzT0) (not (= @t45 tptp.sz00)))))) % 0.95/1.19 (assume @p26 (forall @t25 (=> @t49 (=> (= @t45 @t47) @t23)))) % 0.95/1.19 (assume @p27 (forall @t3 (=> @t46 (or @t50 (exists @t8 (and @t48 (= @t1 @t47))))))) % 0.95/1.19 (assume @p28 (forall @t3 (=> @t46 (not (= @t1 @t45))))) % 0.95/1.19 (assume @p29 (forall @t25 (=> @t49 (=> @t51 true)))) % 0.95/1.19 (assume @p30 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.95/1.19 (assume @p31 (forall @t3 (=> @t46 (not (tptp.sdtlseqdt0 @t45 tptp.sz00))))) % 0.95/1.19 (assume @p32 (forall @t25 (=> @t49 (= @t51 (tptp.sdtlseqdt0 @t45 @t47))))) % 0.95/1.19 (assume @p33 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 @t1 @t45)))) % 0.95/1.19 (assume @p34 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.95/1.19 (assume @p35 (forall @t25 (=> @t49 (=> (and @t51 @t52) @t23)))) % 0.95/1.19 (assume @p36 (forall @t28 (=> (and @t46 @t48 @t54) (=> (and @t51 @t53) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.95/1.19 (assume @p37 (forall @t25 (=> @t49 (or @t51 (tptp.sdtlseqdt0 @t47 @t1))))) % 0.95/1.19 (assume @p38 (forall @t25 (=> @t49 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.95/1.19 (assume @p39 (forall @t3 (=> @t46 (tptp.iLess0 @t1 @t45)))) % 0.95/1.19 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t55)))) % 0.95/1.19 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t55 tptp.szNzAzT0) @t9)))) % 0.95/1.19 (assume @p42 (forall @t3 (=> @t2 (= (= @t55 tptp.sz00) @t10)))) % 0.95/1.19 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t55)))))))) % 0.95/1.19 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t55)))))) % 0.95/1.19 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t56 @t55)))))) % 0.95/1.19 (assume @p46 (forall @t25 (=> @t58 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t55)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t57 @t5))))))) % 0.95/1.19 (assume @p47 (forall @t3 (=> (and @t60 @t14) (forall @t8 (= (= @t5 @t59) (and @t7 (forall @t18 (=> @t16 @t53)))))))) % 0.95/1.19 (assume @p48 (forall @t3 (=> (and @t60 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.95/1.19 (assume @p49 (forall @t25 (=> (and @t60 @t62 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t59 @t5) (tptp.aElementOf0 @t61 @t1)) (= @t59 @t61))))) % 0.95/1.19 (assume @p50 (forall @t3 (=> @t46 (forall @t8 (= (= @t5 @t63) (and @t19 (forall @t18 (= @t17 (and @t54 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.95/1.19 (assume @p51 (forall @t3 (=> @t46 (tptp.isFinite0 @t63)))) % 0.95/1.19 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.95/1.19 (assume @p53 (forall @t25 (=> @t49 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t47)) (or (tptp.aElementOf0 @t1 @t64) @t23))))) % 0.95/1.19 (assume @p54 (forall @t25 (=> @t49 (= @t51 (tptp.aSubsetOf0 @t63 @t64))))) % 0.95/1.19 (assume @p55 (forall @t3 (=> (and @t60 @t9) (exists @t8 (and @t48 (tptp.aSubsetOf0 @t1 @t64)))))) % 0.95/1.19 (assume @p56 (forall @t3 (=> @t46 (= (tptp.sbrdtbr0 @t63) @t1)))) % 0.95/1.19 (assume @p57 (forall @t25 (=> @t58 (forall @t18 (= (= @t15 @t67) (and @t27 (forall @t34 (= @t33 (and @t66 (= @t65 @t5)))))))))) % 0.95/1.19 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t48 (tptp.isFinite0 @t67)))))) % 0.95/1.19 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t48 (not (= @t67 tptp.slcrc0))))))) % 0.95/1.19 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t48 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t67)))))) % 0.95/1.19 (assume @p61 (forall @t3 (=> @t46 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t50)) (=> (and (tptp.aSubsetOf0 @t68 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t68 tptp.slcrc0))) @t26)))))) % 0.95/1.19 (assume @p62 (forall @t25 (=> @t58 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t67) (tptp.isFinite0 @t15)) (exists @t34 (and @t66 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 0.95/1.19 (assume @p63 (forall @t3 (=> @t69 true))) % 0.95/1.19 (assume @p64 (forall @t3 (=> @t69 (tptp.aSet0 @t70)))) % 0.95/1.19 (assume @p65 (forall @t3 (=> @t69 (forall @t8 (=> @t72 (tptp.aElement0 @t71)))))) % 0.95/1.19 (assume @p66 (forall @t25 (=> @t76 (forall @t18 (= (= @t15 @t75) (and @t27 (forall @t34 (= @t33 (and @t74 (= @t73 @t5)))))))))) % 0.95/1.19 (assume @p67 (forall @t25 (=> @t76 (tptp.aSubsetOf0 @t75 @t70)))) % 0.95/1.19 (assume @p68 (forall @t3 (=> @t69 (forall @t8 (=> @t81 (forall @t18 (= (= @t15 @t80) (and @t27 (forall @t34 (= @t33 (exists @t79 (and @t78 (= (tptp.sdtlpdtrp0 @t1 @t77) @t29))))))))))))) % 0.95/1.19 (assume @p69 (forall @t3 (=> @t69 (forall @t8 (=> @t72 (tptp.aElementOf0 @t71 @t82)))))) % 0.95/1.19 (assume @p70 (forall @t3 (=> @t69 (forall @t8 (=> @t81 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t85 (= @t84 @t5) (forall @t34 (=> @t83 (= (tptp.sdtlpdtrp0 @t15 @t29) @t73))))))))))) % 0.95/1.19 (assume @p71 (forall @t3 (=> @t69 (forall @t8 (=> (and @t81 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t70) @t74 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t73)))) (tptp.isCountable0 @t80))))))) % 0.95/1.19 (assume @p72 (forall @t3 (=> @t69 (=> (and (tptp.isCountable0 @t70) (tptp.isFinite0 @t82)) (and (tptp.aElement0 @t86) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t86))))))) % 0.95/1.19 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.95/1.19 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.95/1.19 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> @t87 @t46)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 0.95/1.19 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t93 (and @t2 @t96 @t95 @t94)) (=> (and (or (and @t2 @t96) @t95) @t94) @t93))) (= @t88 @t92) (tptp.aSet0 @t89) (forall @t3 (= @t91 (exists @t8 (and (tptp.aElementOf0 @t5 @t88) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t91 @t90)) (tptp.aSubsetOf0 @t89 tptp.xT))) % 0.95/1.19 (assume @p77 (forall @t3 (=> @t46 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t54))) @t62) @t39) (forall @t18 (=> (and @t85 (or (forall @t34 (and (=> @t103 (and (or (and @t108 @t107) @t105) @t104)) (=> (and @t108 @t107 @t105 @t104) @t103))) (= @t84 @t68)) (=> (and (tptp.aSet0 @t101) (forall @t34 (= @t102 (exists @t79 (and (tptp.aElementOf0 @t77 @t84) (= (tptp.sdtlpdtrp0 @t15 @t77) @t29)))))) (or (forall @t34 (=> @t102 @t100)) (tptp.aSubsetOf0 @t101 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t100 (exists @t79 (and (tptp.aSet0 @t77) (forall @t99 (=> (tptp.aElementOf0 @t97 @t77) (tptp.aElementOf0 @t97 @t5))) (tptp.aSubsetOf0 @t77 @t5) (tptp.isCountable0 @t77) (forall @t99 (=> (or (and (or (and (tptp.aSet0 @t97) (forall (@list @t98) (=> (tptp.aElementOf0 @t98 @t97) (tptp.aElementOf0 @t98 @t77)))) (tptp.aSubsetOf0 @t97 @t77)) (= (tptp.sbrdtbr0 @t97) @t1)) (tptp.aElementOf0 @t97 (tptp.slbdtsldtrb0 @t77 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t97) @t29))))))))))))))) % 0.95/1.19 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.95/1.19 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.95/1.19 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t46 (=> (and (or (and @t123 @t122) @t121) @t120) (and @t119 @t118 @t116 @t115 (tptp.aSet0 @t109) (forall @t8 (=> (tptp.aElementOf0 @t5 @t109) @t113)) (tptp.aSubsetOf0 @t109 @t112) (tptp.isCountable0 @t109))))))) % 0.95/1.19 (assume @p81 (forall @t3 (=> @t46 (and @t123 @t122 @t121 @t120)))) % 0.95/1.19 (assume @p82 (forall @t25 (=> @t49 (=> @t52 (and (forall @t18 (=> @t126 @t125)) (tptp.aSubsetOf0 @t110 @t124)))))) % 0.95/1.19 (assume @p83 (forall @t25 (=> (and @t46 @t48 (not @t23)) (not (=> @t129 (or (and (tptp.aElementOf0 @t111 @t124) (forall @t18 (=> @t125 @t127))) (= @t111 (tptp.szmzizndt0 @t124)))))))) % 0.95/1.19 (assume @p84 (forall @t3 (=> @t46 (forall @t8 (=> @t148 (and @t119 @t128 (tptp.aSet0 @t130) @t134 (forall @t18 (=> @t131 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t130 tptp.xS) (= (tptp.sbrdtbr0 @t130) tptp.xK) (tptp.aElementOf0 @t130 @t92))))))) % 0.95/1.19 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) @t168)) % 0.95/1.19 (assume @p86 (forall @t3 (=> @t46 (and (tptp.aSet0 @t169) (forall @t8 (= @t171 (exists @t18 (and (tptp.aElementOf0 @t15 @t155) @t172)))) (forall @t8 (=> @t171 @t170)) (tptp.aSubsetOf0 @t169 tptp.xT))))) % 0.95/1.19 (assume @p87 (forall @t3 (=> @t46 (forall @t8 (=> (and (=> @t129 (=> @t145 @t158)) @t39) (forall @t18 (=> (and @t27 (or (and (or (forall @t34 (=> @t33 @t83)) (tptp.aSubsetOf0 @t15 @t5)) @t179) (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t119 @t178 @t116 @t177 @t175 @t173 (tptp.aElementOf0 @t15 @t135))))))))) % 0.95/1.19 (assume @p88 (forall @t3 (=> @t46 (exists @t8 (and @t170 (exists @t18 (and @t119 @t178 @t116 @t177 @t27 @t175 @t173 (tptp.isCountable0 @t15) (forall @t34 (=> (and @t108 (or (and (or (forall @t79 (=> @t106 (tptp.aElementOf0 @t77 @t15))) (tptp.aSubsetOf0 @t29 @t15)) (= @t65 tptp.xk)) (tptp.aElementOf0 @t29 (tptp.slbdtsldtrb0 @t15 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t149 @t29) @t5)))))))))) % 0.95/1.19 (assume @p89 (forall @t3 (=> @t46 (exists @t8 (and @t170 (forall @t18 (=> (and @t27 (or (and (or (forall @t34 (=> @t33 (tptp.aElementOf0 @t29 @t109))) (tptp.aSubsetOf0 @t15 @t109)) @t179) (tptp.aElementOf0 @t15 @t180))) @t172))))))) % 0.95/1.19 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t46 (and (tptp.aElementOf0 @t181 @t110) (forall @t8 (=> @t114 (tptp.sdtlseqdt0 @t181 @t5))) (= @t181 @t111)))))) % 0.95/1.19 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t183 tptp.szNzAzT0) (forall @t3 (=> @t46 (forall @t8 (=> (and @t19 (or (and (or (forall @t18 (=> @t17 (tptp.aElementOf0 @t15 @t109))) (tptp.aSubsetOf0 @t5 @t109)) @t137) (tptp.aElementOf0 @t5 @t180))) (= @t182 @t150))))))) % 0.95/1.19 (assume @p92 (and (tptp.aSet0 @t184) (forall @t3 (= @t185 (exists @t8 (and (tptp.aElementOf0 @t5 @t183) (= @t186 @t1))))) (forall @t3 (=> @t185 @t90)) (tptp.aSubsetOf0 @t184 tptp.xT))) % 0.95/1.19 (assume @p93 (and (tptp.aElementOf0 @t187 tptp.xT) @t191 @t190)) % 0.95/1.19 (assume @p94 (and @t196 @t191 @t190 (forall @t3 (= @t195 @t194)) (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t188)))) % 0.95/1.19 (assume @p95 (and @t196 (tptp.isCountable0 tptp.xO))) % 0.95/1.19 (assume @p96 (forall @t3 (=> (or @t194 @t195) (exists @t8 (and @t48 (= @t186 @t187) @t193 @t192))))) % 0.95/1.19 (assume @p97 (and (forall @t3 (=> @t195 @t87)) (tptp.aSubsetOf0 tptp.xO tptp.xS))) % 0.95/1.19 (assume @p98 (and (tptp.aSet0 tptp.xQ) @t198 (tptp.aSubsetOf0 tptp.xQ tptp.xO) (= (tptp.sbrdtbr0 tptp.xQ) tptp.xK) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK)))) % 0.95/1.19 (assume @p99 (and @t198 (not (or (not (exists @t3 @t197)) (= tptp.xQ tptp.slcrc0))))) % 0.95/1.19 (assume @p100 (and (forall @t3 (=> @t197 @t46)) (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0))) % 0.95/1.19 (assume @p101 (and @t200 @t199 @t200 @t199 (tptp.aElementOf0 tptp.xQ @t88))) % 0.95/1.19 (assume @p102 (and @t202 (forall @t3 (=> @t197 (tptp.sdtlseqdt0 tptp.xp @t1))) (= tptp.xp @t201))) % 0.95/1.19 (assume @p103 (and @t204 (forall @t3 (=> @t197 (tptp.sdtlseqdt0 @t201 @t1))) (forall @t3 (= @t203 (and @t4 @t197 (not (= @t1 @t201))))) (= tptp.xP (tptp.sdtmndt0 tptp.xQ @t201)))) % 0.95/1.19 (assume @p104 @t202) % 0.95/1.19 (assume @p105 (exists @t3 (and @t189 (= @t181 tptp.xp)))) % 0.95/1.19 (assume @p106 (and (forall @t3 (=> @t203 @t197)) (tptp.aSubsetOf0 tptp.xP tptp.xQ))) % 0.95/1.19 (assume @p107 (and (forall @t3 (=> @t203 @t195)) (tptp.aSubsetOf0 tptp.xP tptp.xO))) % 0.95/1.19 (assume @p108 (= @t205 tptp.xk)) % 0.95/1.19 (assume @p109 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk))) % 0.95/1.19 (assume @p110 (and (tptp.aElementOf0 tptp.xn @t183) @t207 (tptp.aElementOf0 tptp.xn @t188) @t206 (= (tptp.sdtlpdtrp0 tptp.xe tptp.xn) tptp.xp))) % 0.95/1.19 (assume @p111 @t207) % 0.95/1.19 (assume @p112 (and (forall @t3 (=> @t203 (tptp.aElementOf0 @t1 @t208))) (tptp.aSubsetOf0 tptp.xP @t208))) % 0.95/1.19 (assume @p113 (and @t216 (tptp.aSet0 tptp.xD) (forall @t3 (= @t214 (and @t4 @t213 (not @t212)))) (= tptp.xD @t211))) % 0.95/1.19 (assume @p114 (and (forall @t3 (=> @t203 @t214)) (tptp.aSubsetOf0 tptp.xP tptp.xD) @t218)) % 0.95/1.19 (assume @p115 @t226) % 0.95/1.19 (assume @p116 true) % 0.95/1.19 (step @p117 :rule evaluate :args ((= true false))) % 0.95/1.19 (step @p118 :rule refl :args (@t228)) % 0.95/1.19 (step @p119 :rule refl :args (@t231)) % 0.95/1.19 (step @p120 :rule refl :args (@t236)) % 0.95/1.19 (step @p121 :rule refl :args (@t237)) % 0.95/1.19 (step @p122 :rule eq-symm :args (@t238 tptp.xk)) % 0.95/1.19 (step @p123 :rule cong :premises (@p122) :args (@t239)) % 0.95/1.19 (step @p124 :rule refl :args (@t240)) % 0.95/1.19 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t241)) % 0.95/1.19 (step @p126 :rule refl :args (@t243)) % 0.95/1.19 (step @p127 :rule refl :args (@t116)) % 0.95/1.19 (step @p128 :rule refl :args (@t245)) % 0.95/1.19 (step @p129 :rule refl :args (@t119)) % 0.95/1.19 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p126 @p125 @p121) :args (@t246)) % 0.95/1.19 (step @p131 :rule refl :args (@t247)) % 0.95/1.19 (step @p132 :rule nary_cong :premises (@p131 @p130 @p120) :args (@t248)) % 0.95/1.19 (step @p133 :rule refl :args (@t249)) % 0.95/1.19 (step @p134 :rule eq-symm :args (@t250 @t111)) % 0.95/1.19 (step @p135 :rule cong :premises (@p134) :args (@t251)) % 0.95/1.19 (step @p136 :rule refl :args (@t252)) % 0.95/1.19 (step @p137 :rule refl :args (@t253)) % 0.95/1.19 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135) :args (@t254)) % 0.95/1.19 (step @p139 :rule refl :args (@t255)) % 0.95/1.19 (step @p140 :rule cong :premises (@p139 @p138) :args (@t256)) % 0.95/1.19 (step @p141 :rule refl :args (@t258)) % 0.95/1.19 (step @p142 :rule refl :args (@t165)) % 0.95/1.19 (step @p143 :rule nary_cong :premises (@p142 @p129 @p141 @p127 @p140 @p133 @p132 @p119 @p118) :args (@t259)) % 0.95/1.19 (step @p144 :rule refl :args (@t260)) % 0.95/1.19 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t261)) % 0.95/1.19 (step @p146 :rule cong :premises (@p145) :args (@t263)) % 0.95/1.19 (step @p147 :rule quant-merge-prenex :args ((= (forall @t3 @t265) @t263))) % 0.95/1.19 (step @p148 :rule alpha_equiv :args (@t266 (@list @t227) @t268)) % 0.95/1.19 (step @p149 :rule quant-unused-vars :args ((= @t269 @t266))) % 0.95/1.19 (step @p150 :rule trans :premises (@p149 @p148)) % 0.95/1.19 (step @p151 :rule alpha_equiv :args (@t270 (@list @t229 @t230) (@list @t272 @t271))) % 0.95/1.19 (step @p152 :rule quant-unused-vars :args ((= @t273 @t270))) % 0.95/1.19 (step @p153 :rule trans :premises (@p152 @p151)) % 0.95/1.19 (step @p154 :rule alpha_equiv :args (@t274 (@list @t232 @t244 @t242 @t235 @t234) (@list @t5 @t278 @t277 @t276 @t275))) % 0.95/1.19 (step @p155 :rule quant-unused-vars :args ((= @t279 @t274))) % 0.95/1.19 (step @p156 :rule trans :premises (@p155 @p154)) % 0.95/1.19 (step @p157 :rule quant-unused-vars :args ((= @t280 @t249))) % 0.95/1.19 (step @p158 :rule alpha_equiv :args (@t281 (@list @t250) @t282)) % 0.95/1.19 (step @p159 :rule quant-unused-vars :args ((= @t283 @t281))) % 0.95/1.19 (step @p160 :rule trans :premises (@p159 @p158)) % 0.95/1.19 (step @p161 :rule quant-unused-vars :args ((= @t284 @t116))) % 0.95/1.19 (step @p162 :rule alpha_equiv :args (@t285 (@list @t257) @t282)) % 0.95/1.19 (step @p163 :rule quant-unused-vars :args ((= @t286 @t285))) % 0.95/1.19 (step @p164 :rule trans :premises (@p163 @p162)) % 0.95/1.19 (step @p165 :rule quant-unused-vars :args ((= @t287 @t119))) % 0.95/1.19 (step @p166 :rule quant-unused-vars :args ((= @t288 @t165))) % 0.95/1.19 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164 @p161 @p160 @p157 @p156 @p153 @p150) :args (@t289)) % 0.95/1.19 (step @p168 :rule quant-miniscope-and :args ((= @t290 @t289))) % 0.95/1.19 (step @p169 :rule trans :premises (@p168 @p167)) % 0.95/1.19 (step @p170 :rule refl :args (@t260)) % 0.95/1.19 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t291)) % 0.95/1.19 (step @p172 :rule quant-miniscope-or :args ((= @t265 @t291))) % 0.95/1.19 (step @p173 :rule trans :premises (@p172 @p171)) % 0.95/1.19 (step @p174 :rule symm :premises (@p173)) % 0.95/1.19 (step @p175 :rule cong :premises (@p174) :args ((forall @t3 (or @t260 @t324)))) % 0.95/1.19 (step @p176 :rule trans :premises (@p175 @p147)) % 0.95/1.19 (step @p177 :rule trans :premises (@p176 @p146)) % 0.95/1.19 (step @p178 :rule bool-impl-elim :args (@t46 @t324)) % 0.95/1.19 (step @p179 :rule cong :premises (@p178) :args ((forall @t3 (=> @t46 @t324)))) % 0.95/1.19 (step @p180 :rule trans :premises (@p179 @p177)) % 0.95/1.19 (step @p181 :rule aci_norm :args ((= (and @t165 @t119 @t323 @t116 @t115 (and @t305 @t296) @t249 @t322) @t324))) % 0.95/1.19 (step @p182 :rule refl :args (@t151)) % 0.95/1.19 (step @p183 :rule eq-symm :args (@t275 @t111)) % 0.95/1.19 (step @p184 :rule refl :args (@t306)) % 0.95/1.19 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t325)) % 0.95/1.19 (step @p186 :rule refl :args (@t307)) % 0.95/1.19 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t326)) % 0.95/1.19 (step @p188 :rule refl :args (@t308)) % 0.95/1.19 (step @p189 :rule cong :premises (@p188 @p187) :args (@t327)) % 0.95/1.19 (step @p190 :rule refl :args (@t309)) % 0.95/1.19 (step @p191 :rule nary_cong :premises (@p129 @p190 @p189 @p182) :args (@t328)) % 0.95/1.19 (step @p192 :rule refl :args (@t310)) % 0.95/1.19 (step @p193 :rule refl :args (@t315)) % 0.95/1.19 (step @p194 :rule eq-symm :args (@t277 @t111)) % 0.95/1.19 (step @p195 :rule cong :premises (@p194) :args (@t329)) % 0.95/1.19 (step @p196 :rule refl :args (@t316)) % 0.95/1.19 (step @p197 :rule refl :args (@t317)) % 0.95/1.19 (step @p198 :rule nary_cong :premises (@p197 @p196 @p195) :args (@t330)) % 0.95/1.19 (step @p199 :rule refl :args (@t318)) % 0.95/1.19 (step @p200 :rule cong :premises (@p199 @p198) :args (@t331)) % 0.95/1.19 (step @p201 :rule refl :args (@t319)) % 0.95/1.19 (step @p202 :rule nary_cong :premises (@p129 @p201 @p127 @p200 @p193 @p192) :args (@t332)) % 0.95/1.19 (step @p203 :rule refl :args (@t320)) % 0.95/1.19 (step @p204 :rule nary_cong :premises (@p203 @p202 @p191) :args (@t333)) % 0.95/1.19 (step @p205 :rule cong :premises (@p204) :args (@t334)) % 0.95/1.19 (step @p206 :rule quant-merge-prenex :args ((= (forall @t8 @t335) @t334))) % 0.95/1.19 (step @p207 :rule quant-unused-vars :args ((= @t337 @t151))) % 0.95/1.19 (step @p208 :rule alpha_equiv :args (@t338 (@list @t275) @t339)) % 0.95/1.19 (step @p209 :rule quant-unused-vars :args ((= @t340 @t338))) % 0.95/1.19 (step @p210 :rule trans :premises (@p209 @p208)) % 0.95/1.19 (step @p211 :rule alpha_equiv :args (@t341 (@list @t276) @t339)) % 0.95/1.19 (step @p212 :rule quant-unused-vars :args ((= @t342 @t341))) % 0.95/1.19 (step @p213 :rule trans :premises (@p212 @p211)) % 0.95/1.19 (step @p214 :rule quant-unused-vars :args ((= @t343 @t119))) % 0.95/1.19 (step @p215 :rule nary_cong :premises (@p214 @p213 @p210 @p207) :args (@t344)) % 0.95/1.19 (step @p216 :rule quant-miniscope-and :args ((= @t345 @t344))) % 0.95/1.19 (step @p217 :rule trans :premises (@p216 @p215)) % 0.95/1.19 (step @p218 :rule quant-unused-vars :args ((= @t347 @t310))) % 0.95/1.19 (step @p219 :rule quant-unused-vars :args ((= @t348 @t315))) % 0.95/1.19 (step @p220 :rule alpha_equiv :args (@t349 (@list @t277) @t339)) % 0.95/1.19 (step @p221 :rule quant-unused-vars :args ((= @t350 @t349))) % 0.95/1.19 (step @p222 :rule trans :premises (@p221 @p220)) % 0.95/1.19 (step @p223 :rule quant-unused-vars :args ((= @t351 @t116))) % 0.95/1.19 (step @p224 :rule alpha_equiv :args (@t352 (@list @t278) @t339)) % 0.95/1.19 (step @p225 :rule quant-unused-vars :args ((= @t353 @t352))) % 0.95/1.19 (step @p226 :rule trans :premises (@p225 @p224)) % 0.95/1.19 (step @p227 :rule quant-unused-vars :args ((= @t354 @t119))) % 0.95/1.19 (step @p228 :rule nary_cong :premises (@p227 @p226 @p223 @p222 @p219 @p218) :args (@t355)) % 0.95/1.19 (step @p229 :rule quant-miniscope-and :args ((= @t356 @t355))) % 0.95/1.19 (step @p230 :rule trans :premises (@p229 @p228)) % 0.95/1.19 (step @p231 :rule refl :args (@t320)) % 0.95/1.19 (step @p232 :rule nary_cong :premises (@p231 @p230 @p217) :args (@t357)) % 0.95/1.19 (step @p233 :rule quant-miniscope-or :args ((= @t335 @t357))) % 0.95/1.19 (step @p234 :rule trans :premises (@p233 @p232)) % 0.95/1.19 (step @p235 :rule symm :premises (@p234)) % 0.95/1.19 (step @p236 :rule cong :premises (@p235) :args ((forall @t8 @t361))) % 0.95/1.19 (step @p237 :rule trans :premises (@p236 @p206)) % 0.95/1.19 (step @p238 :rule trans :premises (@p237 @p205)) % 0.95/1.19 (step @p239 :rule aci_norm :args ((= (or (or @t320 @t360) @t359) @t361))) % 0.95/1.19 (step @p240 :rule refl :args (@t359)) % 0.95/1.19 (step @p241 :rule aci_norm :args ((= (and @t363 @t362) @t360))) % 0.95/1.19 (step @p242 :rule aci_norm :args ((= (and @t145 (and @t315 @t310)) @t362))) % 0.95/1.19 (step @p243 :rule refl :args (@t310)) % 0.95/1.19 (step @p244 :rule refl :args (@t311)) % 0.95/1.19 (step @p245 :rule bool-or-de-morgan :args (@t313 @t138 false)) % 0.95/1.19 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or (not @t364) @t311))) % 0.95/1.19 (step @p247 :rule bool-and-de-morgan :args (@t364 @t137 true)) % 0.95/1.19 (step @p248 :rule trans :premises (@p247 @p246)) % 0.95/1.19 (step @p249 :rule nary_cong :premises (@p248 @p243) :args ((and (not @t365) @t310))) % 0.95/1.19 (step @p250 :rule bool-or-de-morgan :args (@t365 @t136 false)) % 0.95/1.19 (step @p251 :rule trans :premises (@p250 @p249)) % 0.95/1.19 (step @p252 :rule refl :args (@t145)) % 0.95/1.19 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((and @t145 (not @t366)))) % 0.95/1.19 (step @p254 :rule trans :premises (@p253 @p242)) % 0.95/1.19 (step @p255 :rule bool-implies-de-morgan :args (@t145 @t366)) % 0.95/1.19 (step @p256 :rule trans :premises (@p255 @p254)) % 0.95/1.19 (step @p257 :rule refl :args (@t363)) % 0.95/1.19 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((and @t363 (not @t367)))) % 0.95/1.19 (step @p259 :rule trans :premises (@p258 @p241)) % 0.95/1.19 (step @p260 :rule bool-implies-de-morgan :args (@t363 @t367)) % 0.95/1.19 (step @p261 :rule trans :premises (@p260 @p259)) % 0.95/1.19 (step @p262 :rule nary_cong :premises (@p231 @p261) :args ((or @t320 (not @t368)))) % 0.95/1.19 (step @p263 :rule bool-and-de-morgan :args (@t19 @t368 true)) % 0.95/1.19 (step @p264 :rule trans :premises (@p263 @p262)) % 0.95/1.19 (step @p265 :rule nary_cong :premises (@p264 @p240) :args ((or (not @t369) @t359))) % 0.95/1.19 (step @p266 :rule trans :premises (@p265 @p239)) % 0.95/1.19 (step @p267 :rule bool-impl-elim :args (@t369 @t359)) % 0.95/1.19 (step @p268 :rule trans :premises (@p267 @p266)) % 0.95/1.19 (step @p269 :rule cong :premises (@p268) :args ((forall @t8 (=> @t369 @t359)))) % 0.95/1.19 (step @p270 :rule trans :premises (@p269 @p238)) % 0.95/1.19 (step @p271 :rule refl :args (@t134)) % 0.95/1.19 (step @p272 :rule bool-impl-elim :args (@t126 @t127)) % 0.95/1.19 (step @p273 :rule cong :premises (@p272) :args (@t128)) % 0.95/1.19 (step @p274 :rule nary_cong :premises (@p129 @p273 @p271 @p182) :args (@t152)) % 0.95/1.19 (step @p275 :rule refl :args (@t136)) % 0.95/1.19 (step @p276 :rule refl :args (@t137)) % 0.95/1.19 (step @p277 :rule refl :args (@t138)) % 0.95/1.19 (step @p278 :rule bool-impl-elim :args (@t17 @t139)) % 0.95/1.19 (step @p279 :rule cong :premises (@p278) :args (@t140)) % 0.95/1.19 (step @p280 :rule nary_cong :premises (@p279 @p277) :args (@t141)) % 0.95/1.19 (step @p281 :rule nary_cong :premises (@p280 @p276) :args (@t142)) % 0.95/1.19 (step @p282 :rule nary_cong :premises (@p281 @p275) :args (@t143)) % 0.95/1.19 (step @p283 :rule refl :args (@t145)) % 0.95/1.19 (step @p284 :rule cong :premises (@p283 @p282) :args (@t146)) % 0.95/1.19 (step @p285 :rule nary_cong :premises (@p129 @p273) :args (@t129)) % 0.95/1.19 (step @p286 :rule cong :premises (@p285 @p284) :args (@t147)) % 0.95/1.19 (step @p287 :rule refl :args (@t19)) % 0.95/1.19 (step @p288 :rule nary_cong :premises (@p287 @p286) :args (@t148)) % 0.95/1.19 (step @p289 :rule cong :premises (@p288 @p274) :args (@t153)) % 0.95/1.19 (step @p290 :rule cong :premises (@p289) :args (@t154)) % 0.95/1.19 (step @p291 :rule trans :premises (@p290 @p270)) % 0.95/1.19 (step @p292 :rule eq-symm :args (@t155 @t135)) % 0.95/1.19 (step @p293 :rule refl :args (@t292)) % 0.95/1.19 (step @p294 :rule eq-symm :args (@t293 tptp.xk)) % 0.95/1.19 (step @p295 :rule cong :premises (@p294) :args (@t370)) % 0.95/1.19 (step @p296 :rule refl :args (@t294)) % 0.95/1.19 (step @p297 :rule nary_cong :premises (@p296 @p295 @p293) :args (@t371)) % 0.95/1.19 (step @p298 :rule cong :premises (@p297) :args (@t372)) % 0.95/1.19 (step @p299 :rule quant-merge-prenex :args ((= (forall @t375 @t374) @t305))) % 0.95/1.19 (step @p300 :rule quant-unused-vars :args ((= @t376 @t298))) % 0.95/1.19 (step @p301 :rule quant-unused-vars :args ((= @t377 @t299))) % 0.95/1.19 (step @p302 :rule alpha_equiv :args (@t378 (@list @t271) @t339)) % 0.95/1.19 (step @p303 :rule quant-unused-vars :args ((= @t379 @t301))) % 0.95/1.19 (step @p304 :rule nary_cong :premises (@p303 @p302 @p301 @p300) :args (@t380)) % 0.95/1.19 (step @p305 :rule quant-miniscope-and :args ((= @t381 @t380))) % 0.95/1.19 (step @p306 :rule trans :premises (@p305 @p304)) % 0.95/1.19 (step @p307 :rule refl :args (@t303)) % 0.95/1.19 (step @p308 :rule nary_cong :premises (@p307 @p306) :args (@t382)) % 0.95/1.19 (step @p309 :rule quant-miniscope-or :args ((= @t374 @t382))) % 0.95/1.19 (step @p310 :rule trans :premises (@p309 @p308)) % 0.95/1.19 (step @p311 :rule symm :premises (@p310)) % 0.95/1.19 (step @p312 :rule cong :premises (@p311) :args ((forall @t375 (or @t303 (and @t301 @t383 @t299 @t298))))) % 0.95/1.19 (step @p313 :rule trans :premises (@p312 @p299)) % 0.95/1.19 (step @p314 :rule eq-symm :args (@t297 tptp.xk)) % 0.95/1.19 (step @p315 :rule refl :args (@t299)) % 0.95/1.19 (step @p316 :rule refl :args (@t383)) % 0.95/1.19 (step @p317 :rule refl :args (@t301)) % 0.95/1.19 (step @p318 :rule nary_cong :premises (@p317 @p316 @p315 @p314) :args (@t384)) % 0.95/1.19 (step @p319 :rule refl :args (@t303)) % 0.95/1.19 (step @p320 :rule nary_cong :premises (@p319 @p318) :args (@t385)) % 0.95/1.19 (step @p321 :rule cong :premises (@p320) :args (@t386)) % 0.95/1.19 (step @p322 :rule trans :premises (@p321 @p313)) % 0.95/1.19 (step @p323 :rule nary_cong :premises (@p322 @p298) :args ((and @t386 @t372))) % 0.95/1.19 (step @p324 :rule alpha_equiv :args (@t389 @t282 @t268)) % 0.95/1.19 (step @p325 :rule alpha_equiv :args (@t392 @t282 (@list @t272))) % 0.95/1.19 (step @p326 :rule nary_cong :premises (@p325 @p324) :args (@t393)) % 0.95/1.19 (step @p327 :rule quant-miniscope-and :args ((= (forall @t8 (and @t391 @t388)) @t393))) % 0.95/1.19 (step @p328 :rule trans :premises (@p327 @p326)) % 0.95/1.19 (step @p329 :rule trans :premises (@p328 @p323)) % 0.95/1.19 (step @p330 :rule aci_norm :args ((= (or (or @t387 @t311) @t156) @t388))) % 0.95/1.19 (step @p331 :rule refl :args (@t156)) % 0.95/1.19 (step @p332 :rule refl :args (@t312)) % 0.95/1.19 (step @p333 :rule bool-and-de-morgan :args (@t19 @t313 true)) % 0.95/1.19 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((and (not @t394) @t312))) % 0.95/1.19 (step @p335 :rule bool-or-de-morgan :args (@t394 @t138 false)) % 0.95/1.19 (step @p336 :rule trans :premises (@p335 @p334)) % 0.95/1.19 (step @p337 :rule nary_cong :premises (@p336 @p244) :args ((or (not @t395) @t311))) % 0.95/1.19 (step @p338 :rule bool-and-de-morgan :args (@t395 @t137 true)) % 0.95/1.19 (step @p339 :rule trans :premises (@p338 @p337)) % 0.95/1.19 (step @p340 :rule nary_cong :premises (@p339 @p331) :args ((or (not @t396) @t156))) % 0.95/1.19 (step @p341 :rule trans :premises (@p340 @p330)) % 0.95/1.19 (step @p342 :rule bool-impl-elim :args (@t396 @t156)) % 0.95/1.19 (step @p343 :rule trans :premises (@p342 @p341)) % 0.95/1.19 (step @p344 :rule bool-impl-elim :args (@t156 @t390)) % 0.95/1.19 (step @p345 :rule nary_cong :premises (@p344 @p343) :args (@t397)) % 0.95/1.19 (step @p346 :rule cong :premises (@p345) :args ((forall @t8 @t397))) % 0.95/1.19 (step @p347 :rule trans :premises (@p346 @p329)) % 0.95/1.19 (step @p348 :rule refl :args (@t156)) % 0.95/1.19 (step @p349 :rule nary_cong :premises (@p287 @p279) :args (@t157)) % 0.95/1.19 (step @p350 :rule nary_cong :premises (@p349 @p277) :args (@t158)) % 0.95/1.19 (step @p351 :rule nary_cong :premises (@p350 @p276) :args (@t159)) % 0.95/1.19 (step @p352 :rule cong :premises (@p351 @p348) :args (@t160)) % 0.95/1.19 (step @p353 :rule nary_cong :premises (@p287 @p279 @p277 @p276) :args (@t161)) % 0.95/1.19 (step @p354 :rule cong :premises (@p348 @p353) :args (@t162)) % 0.95/1.19 (step @p355 :rule nary_cong :premises (@p354 @p352) :args (@t163)) % 0.95/1.19 (step @p356 :rule cong :premises (@p355) :args (@t164)) % 0.95/1.19 (step @p357 :rule trans :premises (@p356 @p347)) % 0.95/1.19 (step @p358 :rule refl :args (@t115)) % 0.95/1.19 (step @p359 :rule bool-impl-elim :args (@t114 @t117)) % 0.95/1.19 (step @p360 :rule cong :premises (@p359) :args (@t118)) % 0.95/1.19 (step @p361 :rule nary_cong :premises (@p142 @p129 @p360 @p127 @p358 @p357 @p292 @p291) :args (@t166)) % 0.95/1.19 (step @p362 :rule trans :premises (@p361 @p181)) % 0.95/1.19 (step @p363 :rule refl :args (@t46)) % 0.95/1.19 (step @p364 :rule cong :premises (@p363 @p362) :args (@t167)) % 0.95/1.19 (step @p365 :rule cong :premises (@p364) :args (@t168)) % 0.95/1.19 (step @p366 :rule trans :premises (@p365 @p180)) % 0.95/1.19 (step @p367 :rule and_elim :premises (@p85) :args (2)) % 0.95/1.19 (step @p368 :rule eq_resolve :premises (@p367 @p366)) % 0.95/1.19 (step @p369 :rule refl :args (@t400)) % 0.95/1.19 (step @p370 :rule refl :args (@t401)) % 0.95/1.19 (step @p371 :rule eq-symm :args (@t220 @t222)) % 0.95/1.19 (step @p372 :rule refl :args (@t403)) % 0.95/1.19 (step @p373 :rule refl :args (@t405)) % 0.95/1.19 (step @p374 :rule refl :args (@t404)) % 0.95/1.19 (step @p375 :rule nary_cong :premises (@p374 @p373 @p372 @p371) :args (@t406)) % 0.95/1.19 (step @p376 :rule refl :args (@t412)) % 0.95/1.19 (step @p377 :rule refl :args (@t413)) % 0.95/1.19 (step @p378 :rule nary_cong :premises (@p377 @p376 @p375) :args (@t414)) % 0.95/1.19 (step @p379 :rule eq-symm :args (@t407 @t398)) % 0.95/1.19 (step @p380 :rule refl :args (@t410)) % 0.95/1.19 (step @p381 :rule refl :args (@t411)) % 0.95/1.19 (step @p382 :rule refl :args (@t415)) % 0.95/1.19 (step @p383 :rule nary_cong :premises (@p382 @p374 @p373 @p381 @p380 @p379 @p378 @p370 @p369) :args (@t416)) % 0.95/1.19 (step @p384 :rule refl :args (@t417)) % 0.95/1.19 (step @p385 :rule nary_cong :premises (@p384 @p383) :args (@t418)) % 0.95/1.19 (step @p386 :rule refl :args (@t419)) % 0.95/1.19 (step @p387 :rule cong :premises (@p386 @p385) :args ((=> @t419 @t418))) % 0.95/1.19 (assume-push @p431 @t419) % 0.95/1.19 (step @p389 :rule instantiate :premises (@p368) :args ((@list tptp.xn @t210 @t409 tptp.xP @t210 @t409 @t210 @t402 tptp.szNzAzT0 tptp.sz00 tptp.slcrc0))) % 0.95/1.19 (step-pop @p432 :rule scope :premises (@p389)) % 0.95/1.19 (step @p390 :rule process_scope :premises (@p432) :args (@t418)) % 0.95/1.19 (step @p392 :rule eq_resolve :premises (@p390 @p387)) % 0.95/1.19 (step @p393 :rule implies_elim :premises (@p392)) % 0.95/1.19 (step @p394 :rule chain_m_resolution :premises (@p393 @p368) :args (@t423 @t424 (@list @t419))) % 0.95/1.19 (step @p395 :rule and_elim :premises (@p110) :args (3)) % 0.95/1.19 (step @p396 :rule cnf_or_pos :args (@t423)) % 0.95/1.19 (step @p397 :rule reordering :premises (@p396) :args ((or @t417 @t422 (not @t423)))) % 0.95/1.19 (step @p398 :rule chain_m_resolution :premises (@p397 @p395 @p394) :args (@t422 (@list false false) (@list @t206 @t423))) % 0.95/1.19 (step @p399 :rule cnf_and_pos :args (@t422 6)) % 0.95/1.19 (step @p400 :rule reordering :premises (@p399) :args ((or @t421 (not @t422)))) % 0.95/1.19 (step @p401 :rule chain_m_resolution :premises (@p400 @p398) :args (@t421 @t424 (@list @t422))) % 0.95/1.19 (step @p402 :rule refl :args (@t224)) % 0.95/1.19 (step @p403 :rule bool-impl-elim :args (@t213 @t215)) % 0.95/1.19 (step @p404 :rule cong :premises (@p403) :args (@t216)) % 0.95/1.19 (step @p405 :rule cong :premises (@p404 @p402) :args (@t225)) % 0.95/1.19 (step @p406 :rule cong :premises (@p405) :args (@t226)) % 0.95/1.19 (step @p407 :rule eq_resolve :premises (@p115 @p406)) % 0.95/1.19 (step @p408 :rule not_implies_elim2 :premises (@p407)) % 0.95/1.19 (step @p409 :rule not_implies_elim2 :premises (@p408)) % 0.95/1.19 (step @p410 :rule cnf_and_pos :args (@t420 3)) % 0.95/1.19 (step @p411 :rule reordering :premises (@p410) :args ((or @t223 @t425))) % 0.95/1.19 (step @p412 :rule chain_m_resolution :premises (@p411 @p409) :args (@t425 (@list true) (@list @t223))) % 0.95/1.19 (step @p413 :rule and_elim :premises (@p103) :args (0)) % 0.95/1.19 (step @p414 :rule cnf_or_pos :args (@t421)) % 0.95/1.19 (step @p415 :rule reordering :premises (@p414) :args ((or @t413 @t412 @t420 (not @t421)))) % 0.95/1.19 (step @p416 :rule chain_m_resolution :premises (@p415 @p413 @p412 @p401) :args (@t412 (@list false true false) (@list @t204 @t420 @t421))) % 0.95/1.19 (step @p417 :rule cnf_and_pos :args (@t412 5)) % 0.95/1.19 (step @p418 :rule reordering :premises (@p417) :args ((or @t408 (not @t412)))) % 0.95/1.19 (step @p419 :rule chain_m_resolution :premises (@p418 @p416) :args (@t408 @t424 (@list @t412))) % 0.95/1.19 (step @p420 :rule false_intro :premises (@p419)) % 0.95/1.19 (step @p421 :rule refl :args (tptp.xk)) % 0.95/1.19 (step @p422 :rule and_elim :premises (@p113) :args (3)) % 0.95/1.19 (step @p423 :rule cong :premises (@p422 @p421) :args (@t217)) % 0.95/1.19 (step @p424 :rule refl :args (tptp.xP)) % 0.95/1.19 (step @p425 :rule cong :premises (@p424 @p423) :args (@t218)) % 0.95/1.19 (step @p426 :rule and_elim :premises (@p114) :args (2)) % 0.95/1.19 (step @p427 :rule true_intro :premises (@p426)) % 0.95/1.19 (step @p428 :rule symm :premises (@p427)) % 0.95/1.19 (step @p429 :rule trans :premises (@p428 @p425 @p420)) % 0.95/1.19 (step @p430 false :rule eq_resolve :premises (@p429 @p117)) % 0.95/1.19 ) % 0.95/1.19 % SZS output end Proof % 0.95/1.19 % cvc5 exiting %------------------------------------------------------------------------------