%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM586+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 : 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 08:39:55 AM UTC 2026 % Result : Theorem 15.44s 15.83s % Output : Proof 15.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM586+3 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 11:32:53 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.53 %----Proving TF0_NAR, FOF, or CNF % 15.44/15.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.44/15.83 --- Run --no-e-matching --full-saturate-quant at 6... % 15.44/15.83 % SZS status Theorem % 15.44/15.83 % SZS output start Proof % 15.44/15.83 ( % 15.44/15.83 (declare-sort $$unsorted 0) % 15.44/15.83 (declare-const tptp.xx $$unsorted) % 15.44/15.83 (declare-const tptp.xi $$unsorted) % 15.44/15.83 (declare-const tptp.xN $$unsorted) % 15.44/15.83 (declare-const tptp.sz00 $$unsorted) % 15.44/15.83 (declare-const tptp.xC $$unsorted) % 15.44/15.83 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 15.44/15.83 (declare-const tptp.szNzAzT0 $$unsorted) % 15.44/15.83 (declare-const tptp.xk $$unsorted) % 15.44/15.83 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 15.44/15.83 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 15.44/15.83 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 15.44/15.83 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 15.44/15.83 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 15.44/15.83 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 15.44/15.83 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 15.44/15.83 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 15.44/15.83 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.xK $$unsorted) % 15.44/15.83 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.xT $$unsorted) % 15.44/15.83 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.xS $$unsorted) % 15.44/15.83 (declare-const tptp.xc $$unsorted) % 15.44/15.83 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.slcrc0 $$unsorted) % 15.44/15.83 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 15.44/15.83 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 15.44/15.83 (define @t1 () (@var "W0" $$unsorted)) % 15.44/15.83 (define @t2 () (tptp.aSet0 @t1)) % 15.44/15.83 (define @t3 () (@list @t1)) % 15.44/15.83 (define @t4 () (tptp.aElement0 @t1)) % 15.44/15.83 (define @t5 () (@var "W1" $$unsorted)) % 15.44/15.83 (define @t6 () (tptp.aElement0 @t5)) % 15.44/15.83 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 15.44/15.83 (define @t8 () (@list @t5)) % 15.44/15.83 (define @t9 () (tptp.isFinite0 @t1)) % 15.44/15.83 (define @t10 () (= @t1 tptp.slcrc0)) % 15.44/15.83 (define @t11 () (tptp.isCountable0 @t1)) % 15.44/15.83 (define @t12 () (not @t9)) % 15.44/15.83 (define @t13 () (and @t2 @t11)) % 15.44/15.83 (define @t14 () (not @t10)) % 15.44/15.83 (define @t15 () (@var "W2" $$unsorted)) % 15.44/15.83 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 15.44/15.83 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 15.44/15.83 (define @t18 () (@list @t15)) % 15.44/15.83 (define @t19 () (tptp.aSet0 @t5)) % 15.44/15.83 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 15.44/15.83 (define @t21 () (tptp.isFinite0 @t5)) % 15.44/15.83 (define @t22 () (and @t2 @t9)) % 15.44/15.83 (define @t23 () (= @t1 @t5)) % 15.44/15.83 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 15.44/15.83 (define @t25 () (@list @t1 @t5)) % 15.44/15.83 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 15.44/15.83 (define @t27 () (tptp.aSet0 @t15)) % 15.44/15.83 (define @t28 () (@list @t1 @t5 @t15)) % 15.44/15.83 (define @t29 () (@var "W3" $$unsorted)) % 15.44/15.83 (define @t30 () (= @t29 @t5)) % 15.44/15.83 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 15.44/15.83 (define @t32 () (tptp.aElement0 @t29)) % 15.44/15.83 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 15.44/15.83 (define @t34 () (@list @t29)) % 15.44/15.83 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 15.44/15.83 (define @t36 () (and @t2 @t6)) % 15.44/15.83 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 15.44/15.83 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 15.44/15.83 (define @t39 () (tptp.isCountable0 @t5)) % 15.44/15.83 (define @t40 () (and @t19 @t39)) % 15.44/15.83 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 15.44/15.83 (define @t42 () (and @t19 @t21)) % 15.44/15.83 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 15.44/15.83 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 15.44/15.83 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 15.44/15.83 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 15.44/15.83 (define @t47 () (and @t44 @t46)) % 15.44/15.83 (define @t48 () (= @t1 tptp.sz00)) % 15.44/15.83 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 15.44/15.83 (define @t50 () (tptp.sdtlseqdt0 @t5 @t1)) % 15.44/15.83 (define @t51 () (tptp.sdtlseqdt0 @t5 @t15)) % 15.44/15.83 (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 15.44/15.83 (define @t53 () (tptp.sbrdtbr0 @t1)) % 15.44/15.83 (define @t54 () (not @t7)) % 15.44/15.83 (define @t55 () (tptp.sbrdtbr0 @t5)) % 15.44/15.83 (define @t56 () (and @t2 @t46)) % 15.44/15.83 (define @t57 () (tptp.szmzizndt0 @t1)) % 15.44/15.83 (define @t58 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 15.44/15.83 (define @t59 () (tptp.szmzizndt0 @t5)) % 15.44/15.83 (define @t60 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 15.44/15.83 (define @t61 () (tptp.slbdtrb0 @t1)) % 15.44/15.83 (define @t62 () (tptp.slbdtrb0 @t5)) % 15.44/15.83 (define @t63 () (tptp.sbrdtbr0 @t29)) % 15.44/15.83 (define @t64 () (tptp.aSubsetOf0 @t29 @t1)) % 15.44/15.83 (define @t65 () (tptp.slbdtsldtrb0 @t1 @t5)) % 15.44/15.83 (define @t66 () (tptp.slbdtsldtrb0 @t5 @t1)) % 15.44/15.83 (define @t67 () (tptp.aFunction0 @t1)) % 15.44/15.83 (define @t68 () (tptp.szDzozmdt0 @t1)) % 15.44/15.83 (define @t69 () (tptp.sdtlpdtrp0 @t1 @t5)) % 15.44/15.83 (define @t70 () (tptp.aElementOf0 @t5 @t68)) % 15.44/15.83 (define @t71 () (tptp.sdtlpdtrp0 @t1 @t29)) % 15.44/15.83 (define @t72 () (tptp.aElementOf0 @t29 @t68)) % 15.44/15.83 (define @t73 () (tptp.sdtlbdtrb0 @t1 @t5)) % 15.44/15.83 (define @t74 () (and @t67 @t6)) % 15.44/15.83 (define @t75 () (@var "W4" $$unsorted)) % 15.44/15.83 (define @t76 () (tptp.aElementOf0 @t75 @t5)) % 15.44/15.83 (define @t77 () (@list @t75)) % 15.44/15.83 (define @t78 () (tptp.sdtlcdtrc0 @t1 @t5)) % 15.44/15.83 (define @t79 () (tptp.aSubsetOf0 @t5 @t68)) % 15.44/15.83 (define @t80 () (tptp.sdtlcdtrc0 @t1 @t68)) % 15.44/15.83 (define @t81 () (tptp.szDzozmdt0 @t15)) % 15.44/15.83 (define @t82 () (tptp.aFunction0 @t15)) % 15.44/15.83 (define @t83 () (tptp.szDzizrdt0 @t1)) % 15.44/15.83 (define @t84 () (tptp.szDzozmdt0 tptp.xc)) % 15.44/15.83 (define @t85 () (tptp.sdtlcdtrc0 tptp.xc @t84)) % 15.44/15.83 (define @t86 () (tptp.aElementOf0 @t1 @t85)) % 15.44/15.83 (define @t87 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 15.44/15.83 (define @t88 () (tptp.aElementOf0 @t1 @t84)) % 15.44/15.83 (define @t89 () (= @t53 tptp.xK)) % 15.44/15.83 (define @t90 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 15.44/15.83 (define @t91 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 15.44/15.83 (define @t92 () (@var "W5" $$unsorted)) % 15.44/15.83 (define @t93 () (@var "W6" $$unsorted)) % 15.44/15.83 (define @t94 () (@list @t92)) % 15.44/15.83 (define @t95 () (tptp.aElementOf0 @t29 tptp.xT)) % 15.44/15.83 (define @t96 () (tptp.sdtlcdtrc0 @t15 @t81)) % 15.44/15.83 (define @t97 () (tptp.aElementOf0 @t29 @t96)) % 15.44/15.83 (define @t98 () (tptp.aElementOf0 @t29 @t81)) % 15.44/15.83 (define @t99 () (= @t63 @t1)) % 15.44/15.83 (define @t100 () (tptp.aSubsetOf0 @t29 @t5)) % 15.44/15.83 (define @t101 () (forall @t77 (=> (tptp.aElementOf0 @t75 @t29) @t76))) % 15.44/15.83 (define @t102 () (tptp.aSet0 @t29)) % 15.44/15.83 (define @t103 () (tptp.sdtlpdtrp0 tptp.xN @t43)) % 15.44/15.83 (define @t104 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 15.44/15.83 (define @t105 () (tptp.szmzizndt0 @t104)) % 15.44/15.83 (define @t106 () (tptp.sdtmndt0 @t104 @t105)) % 15.44/15.83 (define @t107 () (tptp.aElementOf0 @t5 @t106)) % 15.44/15.83 (define @t108 () (tptp.aElementOf0 @t5 @t104)) % 15.44/15.83 (define @t109 () (forall @t8 (= @t107 (and @t6 @t108 (not (= @t5 @t105)))))) % 15.44/15.83 (define @t110 () (tptp.aSet0 @t106)) % 15.44/15.83 (define @t111 () (tptp.sdtlseqdt0 @t105 @t5)) % 15.44/15.83 (define @t112 () (forall @t8 (=> @t108 @t111))) % 15.44/15.83 (define @t113 () (tptp.aElementOf0 @t105 @t104)) % 15.44/15.83 (define @t114 () (tptp.isCountable0 @t104)) % 15.44/15.83 (define @t115 () (tptp.aSubsetOf0 @t104 tptp.szNzAzT0)) % 15.44/15.83 (define @t116 () (forall @t8 (=> @t108 @t46))) % 15.44/15.83 (define @t117 () (tptp.aSet0 @t104)) % 15.44/15.83 (define @t118 () (tptp.szDzozmdt0 tptp.xN)) % 15.44/15.83 (define @t119 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 15.44/15.83 (define @t120 () (tptp.aElementOf0 @t15 @t119)) % 15.44/15.83 (define @t121 () (tptp.aElementOf0 @t15 @t104)) % 15.44/15.83 (define @t122 () (tptp.sdtlseqdt0 @t105 @t15)) % 15.44/15.83 (define @t123 () (forall @t18 (=> @t121 @t122))) % 15.44/15.83 (define @t124 () (and @t113 @t123)) % 15.44/15.83 (define @t125 () (tptp.sdtpldt0 @t5 @t105)) % 15.44/15.83 (define @t126 () (tptp.aElementOf0 @t15 @t125)) % 15.44/15.83 (define @t127 () (= @t15 @t105)) % 15.44/15.83 (define @t128 () (tptp.aElement0 @t15)) % 15.44/15.83 (define @t129 () (forall @t18 (= @t126 (and @t128 (or @t17 @t127))))) % 15.44/15.83 (define @t130 () (tptp.slbdtsldtrb0 @t106 tptp.xk)) % 15.44/15.83 (define @t131 () (tptp.aElementOf0 @t5 @t130)) % 15.44/15.83 (define @t132 () (= @t55 tptp.xk)) % 15.44/15.83 (define @t133 () (tptp.aSubsetOf0 @t5 @t106)) % 15.44/15.83 (define @t134 () (tptp.aElementOf0 @t15 @t106)) % 15.44/15.83 (define @t135 () (forall @t18 (=> @t17 @t134))) % 15.44/15.83 (define @t136 () (or @t135 @t133)) % 15.44/15.83 (define @t137 () (and @t136 @t132)) % 15.44/15.83 (define @t138 () (or @t137 @t131)) % 15.44/15.83 (define @t139 () (forall @t18 (= @t134 (and @t128 @t121 (not @t127))))) % 15.44/15.83 (define @t140 () (and @t110 @t139)) % 15.44/15.83 (define @t141 () (=> @t140 @t138)) % 15.44/15.83 (define @t142 () (=> @t124 @t141)) % 15.44/15.83 (define @t143 () (and @t19 @t142)) % 15.44/15.83 (define @t144 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 15.44/15.83 (define @t145 () (= (tptp.sdtlpdtrp0 @t144 @t5) (tptp.sdtlpdtrp0 tptp.xc @t125))) % 15.44/15.83 (define @t146 () (and @t113 @t123 @t129 @t145)) % 15.44/15.83 (define @t147 () (=> @t143 @t146)) % 15.44/15.83 (define @t148 () (forall @t8 @t147)) % 15.44/15.83 (define @t149 () (tptp.szDzozmdt0 @t144)) % 15.44/15.83 (define @t150 () (tptp.aElementOf0 @t5 @t149)) % 15.44/15.83 (define @t151 () (and @t19 @t135)) % 15.44/15.83 (define @t152 () (or @t151 @t133)) % 15.44/15.83 (define @t153 () (and @t152 @t132)) % 15.44/15.83 (define @t154 () (=> @t153 @t150)) % 15.44/15.83 (define @t155 () (and @t19 @t135 @t133 @t132)) % 15.44/15.83 (define @t156 () (=> @t150 @t155)) % 15.44/15.83 (define @t157 () (and @t156 @t154)) % 15.44/15.83 (define @t158 () (forall @t8 @t157)) % 15.44/15.83 (define @t159 () (tptp.aFunction0 @t144)) % 15.44/15.83 (define @t160 () (and @t159 @t113 @t112 @t110 @t109 @t158 (= @t149 @t130) @t148)) % 15.44/15.83 (define @t161 () (=> @t44 @t160)) % 15.44/15.83 (define @t162 () (forall @t3 @t161)) % 15.44/15.83 (define @t163 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 15.44/15.83 (define @t164 () (tptp.sdtlpdtrp0 tptp.xC tptp.xi)) % 15.44/15.83 (define @t165 () (tptp.szDzozmdt0 @t164)) % 15.44/15.83 (define @t166 () (tptp.sdtlpdtrp0 @t164 @t1)) % 15.44/15.83 (define @t167 () (= @t166 tptp.xx)) % 15.44/15.83 (define @t168 () (tptp.aElementOf0 @t1 @t165)) % 15.44/15.83 (define @t169 () (and @t168 @t167)) % 15.44/15.83 (define @t170 () (exists @t3 @t169)) % 15.44/15.83 (define @t171 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 15.44/15.83 (define @t172 () (tptp.szmzizndt0 @t171)) % 15.44/15.83 (define @t173 () (tptp.sdtmndt0 @t171 @t172)) % 15.44/15.83 (define @t174 () (tptp.slbdtsldtrb0 @t173 tptp.xk)) % 15.44/15.83 (define @t175 () (tptp.aElementOf0 @t1 @t174)) % 15.44/15.83 (define @t176 () (= @t53 tptp.xk)) % 15.44/15.83 (define @t177 () (tptp.aSubsetOf0 @t1 @t173)) % 15.44/15.83 (define @t178 () (tptp.aElementOf0 @t5 @t173)) % 15.44/15.83 (define @t179 () (forall @t8 (=> @t7 @t178))) % 15.44/15.83 (define @t180 () (and @t2 @t179)) % 15.44/15.83 (define @t181 () (or @t180 @t177)) % 15.44/15.83 (define @t182 () (and @t181 @t176)) % 15.44/15.83 (define @t183 () (or @t182 @t175)) % 15.44/15.83 (define @t184 () (tptp.aElementOf0 @t5 @t171)) % 15.44/15.83 (define @t185 () (forall @t8 (= @t178 (and @t6 @t184 (not (= @t5 @t172)))))) % 15.44/15.83 (define @t186 () (tptp.aSet0 @t173)) % 15.44/15.83 (define @t187 () (and @t186 @t185)) % 15.44/15.83 (define @t188 () (=> @t187 @t183)) % 15.44/15.83 (define @t189 () (tptp.sdtlseqdt0 @t172 @t5)) % 15.44/15.83 (define @t190 () (forall @t8 (=> @t184 @t189))) % 15.44/15.83 (define @t191 () (tptp.aElementOf0 @t172 @t171)) % 15.44/15.83 (define @t192 () (and @t191 @t190)) % 15.44/15.83 (define @t193 () (=> @t192 @t188)) % 15.44/15.83 (define @t194 () (and @t193 @t167)) % 15.44/15.83 (define @t195 () (exists @t3 @t194)) % 15.44/15.83 (define @t196 () (not @t195)) % 15.44/15.83 (define @t197 () (= tptp.xx @t166)) % 15.44/15.83 (define @t198 () (not @t197)) % 15.44/15.83 (define @t199 () (not @t175)) % 15.44/15.83 (define @t200 () (not @t176)) % 15.44/15.83 (define @t201 () (not @t177)) % 15.44/15.83 (define @t202 () (forall @t8 (or @t54 @t178))) % 15.44/15.83 (define @t203 () (or (and (or (not @t2) (not @t202)) @t201) @t200)) % 15.44/15.83 (define @t204 () (@var "BOUND_VARIABLE_10463" $$unsorted)) % 15.44/15.83 (define @t205 () (tptp.aElementOf0 @t204 @t171)) % 15.44/15.83 (define @t206 () (tptp.aElement0 @t204)) % 15.44/15.83 (define @t207 () (tptp.aElementOf0 @t204 @t173)) % 15.44/15.83 (define @t208 () (@var "BOUND_VARIABLE_10457" $$unsorted)) % 15.44/15.83 (define @t209 () (or (not (tptp.aElementOf0 @t208 @t171)) (tptp.sdtlseqdt0 @t172 @t208))) % 15.44/15.83 (define @t210 () (@list @t1 @t208 @t204)) % 15.44/15.83 (define @t211 () (forall @t210 (or (and @t191 @t209 @t186 (= @t207 (and @t206 @t205 (not (= @t172 @t204)))) @t203 @t199) @t198))) % 15.44/15.83 (define @t212 () (not (= @t204 @t172))) % 15.44/15.83 (define @t213 () (and @t206 @t205 @t212)) % 15.44/15.83 (define @t214 () (= @t207 @t213)) % 15.44/15.83 (define @t215 () (and @t191 @t209 @t186 @t214 @t203 @t199)) % 15.44/15.83 (define @t216 () (or @t215 @t198)) % 15.44/15.83 (define @t217 () (forall @t210 @t216)) % 15.44/15.83 (define @t218 () (@list @t208 @t204)) % 15.44/15.83 (define @t219 () (forall @t218 @t216)) % 15.44/15.83 (define @t220 () (forall @t218 @t199)) % 15.44/15.83 (define @t221 () (forall @t218 @t203)) % 15.44/15.83 (define @t222 () (forall (@list @t204) @t214)) % 15.44/15.83 (define @t223 () (@list @t5)) % 15.44/15.83 (define @t224 () (forall @t218 @t214)) % 15.44/15.83 (define @t225 () (forall @t218 @t186)) % 15.44/15.83 (define @t226 () (forall (@list @t208) @t209)) % 15.44/15.83 (define @t227 () (forall @t218 @t209)) % 15.44/15.83 (define @t228 () (forall @t218 @t191)) % 15.44/15.83 (define @t229 () (and @t228 @t227 @t225 @t224 @t221 @t220)) % 15.44/15.83 (define @t230 () (forall @t218 @t215)) % 15.44/15.83 (define @t231 () (or @t230 @t198)) % 15.44/15.83 (define @t232 () (forall @t8 (or (not @t184) @t189))) % 15.44/15.83 (define @t233 () (and @t191 @t232 @t186 @t185 @t203 @t199)) % 15.44/15.83 (define @t234 () (and @t186 @t185 @t203 @t199)) % 15.44/15.83 (define @t235 () (and @t191 @t232)) % 15.44/15.83 (define @t236 () (and @t2 @t202)) % 15.44/15.83 (define @t237 () (or @t236 @t177)) % 15.44/15.83 (define @t238 () (and @t237 @t176)) % 15.44/15.83 (define @t239 () (or @t238 @t175)) % 15.44/15.83 (define @t240 () (=> @t187 @t239)) % 15.44/15.83 (define @t241 () (=> @t235 @t240)) % 15.44/15.83 (define @t242 () (and @t241 @t197)) % 15.44/15.83 (define @t243 () (forall @t3 (not @t242))) % 15.44/15.83 (define @t244 () (not @t243)) % 15.44/15.83 (define @t245 () (@quantifiers_skolemize (forall @t3 (or (not @t168) @t198)) 0)) % 15.44/15.83 (define @t246 () (= tptp.xx (tptp.sdtlpdtrp0 @t164 @t245))) % 15.44/15.83 (define @t247 () (not @t246)) % 15.44/15.83 (define @t248 () (not (tptp.aElementOf0 @t245 @t174))) % 15.44/15.83 (define @t249 () (tptp.sbrdtbr0 @t245)) % 15.44/15.83 (define @t250 () (not (= @t249 tptp.xk))) % 15.44/15.83 (define @t251 () (and (or (not (tptp.aSet0 @t245)) (not (forall @t8 (or (not (tptp.aElementOf0 @t5 @t245)) @t178)))) (not (tptp.aSubsetOf0 @t245 @t173)))) % 15.44/15.83 (define @t252 () (or @t251 @t250)) % 15.44/15.83 (define @t253 () (= @t172 tptp.sz00)) % 15.44/15.83 (define @t254 () (not @t253)) % 15.44/15.83 (define @t255 () (tptp.aElementOf0 tptp.sz00 @t171)) % 15.44/15.83 (define @t256 () (tptp.aElement0 tptp.sz00)) % 15.44/15.83 (define @t257 () (and @t256 @t255 @t254)) % 15.44/15.83 (define @t258 () (tptp.aElementOf0 tptp.sz00 @t173)) % 15.44/15.83 (define @t259 () (= @t258 @t257)) % 15.44/15.83 (define @t260 () (or (not @t255) (tptp.sdtlseqdt0 @t172 tptp.sz00))) % 15.44/15.83 (define @t261 () (and @t191 @t260 @t186 @t259 @t252 @t248)) % 15.44/15.83 (define @t262 () (or @t261 @t247)) % 15.44/15.83 (define @t263 () (= tptp.sz00 @t172)) % 15.44/15.83 (define @t264 () (= @t258 (and @t256 @t255 (not @t263)))) % 15.44/15.83 (define @t265 () (and @t191 @t260 @t186 @t264 (or @t251 (not (= tptp.xk @t249))) @t248)) % 15.44/15.83 (define @t266 () (or @t265 @t247)) % 15.44/15.83 (define @t267 () (@list false)) % 15.44/15.83 (define @t268 () (and @t168 @t197)) % 15.44/15.83 (define @t269 () (forall @t3 (not @t268))) % 15.44/15.83 (define @t270 () (not @t269)) % 15.44/15.83 (define @t271 () (tptp.aElementOf0 @t245 @t165)) % 15.44/15.83 (define @t272 () (not @t271)) % 15.44/15.83 (define @t273 () (or @t272 @t247)) % 15.44/15.83 (define @t274 () (@list true)) % 15.44/15.83 (define @t275 () (@list @t273)) % 15.44/15.83 (define @t276 () (@list false false)) % 15.44/15.83 (define @t277 () (@var "BOUND_VARIABLE_10375" $$unsorted)) % 15.44/15.83 (define @t278 () (or (and (or (not (tptp.aSet0 @t277)) (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t277)) @t134)))) (not (tptp.aSubsetOf0 @t277 @t106))) (not (= tptp.xk (tptp.sbrdtbr0 @t277))) (tptp.aElementOf0 @t277 @t149))) % 15.44/15.83 (define @t279 () (@var "BOUND_VARIABLE_10359" $$unsorted)) % 15.44/15.83 (define @t280 () (@var "BOUND_VARIABLE_10361" $$unsorted)) % 15.44/15.83 (define @t281 () (or (not (tptp.aElementOf0 @t279 @t149)) (and (tptp.aSet0 @t279) (or (not (tptp.aElementOf0 @t280 @t279)) (tptp.aElementOf0 @t280 @t106)) (tptp.aSubsetOf0 @t279 @t106) (= tptp.xk (tptp.sbrdtbr0 @t279))))) % 15.44/15.83 (define @t282 () (@var "BOUND_VARIABLE_10304" $$unsorted)) % 15.44/15.83 (define @t283 () (tptp.sdtpldt0 @t282 @t105)) % 15.44/15.83 (define @t284 () (@var "BOUND_VARIABLE_10312" $$unsorted)) % 15.44/15.83 (define @t285 () (@var "BOUND_VARIABLE_10310" $$unsorted)) % 15.44/15.83 (define @t286 () (and @t113 (or (not (tptp.aElementOf0 @t285 @t104)) (tptp.sdtlseqdt0 @t105 @t285)) (= (tptp.aElementOf0 @t284 @t283) (and (tptp.aElement0 @t284) (or (tptp.aElementOf0 @t284 @t282) (= @t105 @t284)))) (= (tptp.sdtlpdtrp0 @t144 @t282) (tptp.sdtlpdtrp0 tptp.xc @t283)))) % 15.44/15.83 (define @t287 () (not (tptp.aElementOf0 @t282 @t130))) % 15.44/15.83 (define @t288 () (tptp.sbrdtbr0 @t282)) % 15.44/15.83 (define @t289 () (and (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t282)) @t134))) (not (tptp.aSubsetOf0 @t282 @t106)))) % 15.44/15.83 (define @t290 () (@var "BOUND_VARIABLE_10308" $$unsorted)) % 15.44/15.83 (define @t291 () (= (tptp.aElementOf0 @t290 @t106) (and (tptp.aElement0 @t290) (tptp.aElementOf0 @t290 @t104) (not (= @t105 @t290))))) % 15.44/15.83 (define @t292 () (@var "BOUND_VARIABLE_10306" $$unsorted)) % 15.44/15.83 (define @t293 () (or (not (tptp.aElementOf0 @t292 @t104)) (tptp.sdtlseqdt0 @t105 @t292))) % 15.44/15.83 (define @t294 () (not (tptp.aSet0 @t282))) % 15.44/15.83 (define @t295 () (= @t130 @t149)) % 15.44/15.83 (define @t296 () (@var "BOUND_VARIABLE_10295" $$unsorted)) % 15.44/15.83 (define @t297 () (tptp.aElementOf0 @t296 @t104)) % 15.44/15.83 (define @t298 () (tptp.aElement0 @t296)) % 15.44/15.83 (define @t299 () (tptp.aElementOf0 @t296 @t106)) % 15.44/15.83 (define @t300 () (@var "BOUND_VARIABLE_10289" $$unsorted)) % 15.44/15.83 (define @t301 () (or (not (tptp.aElementOf0 @t300 @t104)) (tptp.sdtlseqdt0 @t105 @t300))) % 15.44/15.83 (define @t302 () (and @t159 @t113 @t301 @t110 (= @t299 (and @t298 @t297 (not (= @t105 @t296)))) @t295 (or @t294 (and @t113 @t293 @t110 @t291 (or @t289 (not (= tptp.xk @t288))) @t287) @t286) @t281 @t278)) % 15.44/15.83 (define @t303 () (not @t44)) % 15.44/15.83 (define @t304 () (or @t303 @t302)) % 15.44/15.83 (define @t305 () (@list @t1 @t300 @t296 @t282 @t292 @t290 @t285 @t284 @t279 @t280 @t277)) % 15.44/15.83 (define @t306 () (not (= @t288 tptp.xk))) % 15.44/15.83 (define @t307 () (or @t289 @t306)) % 15.44/15.83 (define @t308 () (and @t113 @t293 @t110 @t291 @t307 @t287)) % 15.44/15.83 (define @t309 () (or @t294 @t308 @t286)) % 15.44/15.83 (define @t310 () (not (= @t296 @t105))) % 15.44/15.83 (define @t311 () (and @t298 @t297 @t310)) % 15.44/15.83 (define @t312 () (= @t299 @t311)) % 15.44/15.83 (define @t313 () (and @t159 @t113 @t301 @t110 @t312 @t295 @t309 @t281 @t278)) % 15.44/15.83 (define @t314 () (or @t303 @t313)) % 15.44/15.83 (define @t315 () (forall @t305 @t314)) % 15.44/15.83 (define @t316 () (@list @t300 @t296 @t282 @t292 @t290 @t285 @t284 @t279 @t280 @t277)) % 15.44/15.83 (define @t317 () (forall @t316 @t314)) % 15.44/15.83 (define @t318 () (forall (@list @t277) @t278)) % 15.44/15.83 (define @t319 () (@var "BOUND_VARIABLE_10190" $$unsorted)) % 15.44/15.83 (define @t320 () (@list @t319)) % 15.44/15.83 (define @t321 () (forall @t316 @t278)) % 15.44/15.83 (define @t322 () (forall (@list @t279 @t280) @t281)) % 15.44/15.83 (define @t323 () (@var "BOUND_VARIABLE_10215" $$unsorted)) % 15.44/15.83 (define @t324 () (@var "BOUND_VARIABLE_10174" $$unsorted)) % 15.44/15.83 (define @t325 () (forall @t316 @t281)) % 15.44/15.83 (define @t326 () (forall (@list @t282 @t292 @t290 @t285 @t284) @t309)) % 15.44/15.83 (define @t327 () (@var "BOUND_VARIABLE_10258" $$unsorted)) % 15.44/15.83 (define @t328 () (@var "BOUND_VARIABLE_10252" $$unsorted)) % 15.44/15.83 (define @t329 () (@var "BOUND_VARIABLE_10242" $$unsorted)) % 15.44/15.83 (define @t330 () (@var "BOUND_VARIABLE_10236" $$unsorted)) % 15.44/15.83 (define @t331 () (forall @t316 @t309)) % 15.44/15.83 (define @t332 () (forall @t316 @t295)) % 15.44/15.83 (define @t333 () (forall (@list @t296) @t312)) % 15.44/15.83 (define @t334 () (forall @t316 @t312)) % 15.44/15.83 (define @t335 () (forall @t316 @t110)) % 15.44/15.83 (define @t336 () (forall (@list @t300) @t301)) % 15.44/15.83 (define @t337 () (forall @t316 @t301)) % 15.44/15.83 (define @t338 () (forall @t316 @t113)) % 15.44/15.83 (define @t339 () (forall @t316 @t159)) % 15.44/15.83 (define @t340 () (and @t339 @t338 @t337 @t335 @t334 @t332 @t331 @t325 @t321)) % 15.44/15.83 (define @t341 () (forall @t316 @t313)) % 15.44/15.83 (define @t342 () (or @t303 @t341)) % 15.44/15.83 (define @t343 () (tptp.aElementOf0 @t319 @t149)) % 15.44/15.83 (define @t344 () (tptp.sbrdtbr0 @t319)) % 15.44/15.83 (define @t345 () (and (or (not (tptp.aSet0 @t319)) (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t319)) @t134)))) (not (tptp.aSubsetOf0 @t319 @t106)))) % 15.44/15.83 (define @t346 () (@list @t319)) % 15.44/15.83 (define @t347 () (forall @t346 (or @t345 (not (= tptp.xk @t344)) @t343))) % 15.44/15.83 (define @t348 () (tptp.sbrdtbr0 @t324)) % 15.44/15.83 (define @t349 () (= tptp.xk @t348)) % 15.44/15.83 (define @t350 () (tptp.aSubsetOf0 @t324 @t106)) % 15.44/15.83 (define @t351 () (or (not (tptp.aElementOf0 @t323 @t324)) (tptp.aElementOf0 @t323 @t106))) % 15.44/15.83 (define @t352 () (tptp.aSet0 @t324)) % 15.44/15.83 (define @t353 () (and @t352 @t351 @t350 @t349)) % 15.44/15.83 (define @t354 () (not (tptp.aElementOf0 @t324 @t149))) % 15.44/15.83 (define @t355 () (or @t354 @t353)) % 15.44/15.83 (define @t356 () (forall (@list @t324 @t323) @t355)) % 15.44/15.83 (define @t357 () (tptp.aElementOf0 @t327 @t5)) % 15.44/15.83 (define @t358 () (tptp.aElement0 @t327)) % 15.44/15.83 (define @t359 () (tptp.aElementOf0 @t327 @t125)) % 15.44/15.83 (define @t360 () (or (not (tptp.aElementOf0 @t328 @t104)) (tptp.sdtlseqdt0 @t105 @t328))) % 15.44/15.83 (define @t361 () (not @t131)) % 15.44/15.83 (define @t362 () (not @t132)) % 15.44/15.83 (define @t363 () (not @t133)) % 15.44/15.83 (define @t364 () (forall @t18 (or (not @t17) @t134))) % 15.44/15.83 (define @t365 () (not @t364)) % 15.44/15.83 (define @t366 () (or (and @t365 @t363) @t362)) % 15.44/15.83 (define @t367 () (tptp.aElementOf0 @t329 @t104)) % 15.44/15.83 (define @t368 () (tptp.aElement0 @t329)) % 15.44/15.83 (define @t369 () (tptp.aElementOf0 @t329 @t106)) % 15.44/15.83 (define @t370 () (or (not (tptp.aElementOf0 @t330 @t104)) (tptp.sdtlseqdt0 @t105 @t330))) % 15.44/15.83 (define @t371 () (not @t19)) % 15.44/15.83 (define @t372 () (@list @t5 @t330 @t329 @t328 @t327)) % 15.44/15.83 (define @t373 () (forall @t372 (or @t371 (and @t113 @t370 @t110 (= @t369 (and @t368 @t367 (not (= @t105 @t329)))) @t366 @t361) (and @t113 @t360 (= @t359 (and @t358 (or @t357 (= @t105 @t327)))) @t145)))) % 15.44/15.83 (define @t374 () (forall @t8 (or (not @t108) @t111))) % 15.44/15.83 (define @t375 () (and @t159 @t113 @t374 @t110 @t109 @t295 @t373 @t356 @t347)) % 15.44/15.83 (define @t376 () (or @t357 (= @t327 @t105))) % 15.44/15.83 (define @t377 () (and @t358 @t376)) % 15.44/15.83 (define @t378 () (= @t359 @t377)) % 15.44/15.83 (define @t379 () (and @t113 @t360 @t378 @t145)) % 15.44/15.83 (define @t380 () (not (= @t329 @t105))) % 15.44/15.83 (define @t381 () (and @t368 @t367 @t380)) % 15.44/15.83 (define @t382 () (= @t369 @t381)) % 15.44/15.83 (define @t383 () (and @t113 @t370 @t110 @t382 @t366 @t361)) % 15.44/15.83 (define @t384 () (or @t371 @t383 @t379)) % 15.44/15.83 (define @t385 () (forall @t372 @t384)) % 15.44/15.83 (define @t386 () (forall (@list @t330 @t329 @t328 @t327) @t384)) % 15.44/15.83 (define @t387 () (@list @t328 @t327)) % 15.44/15.83 (define @t388 () (forall @t387 @t145)) % 15.44/15.83 (define @t389 () (forall (@list @t327) @t378)) % 15.44/15.83 (define @t390 () (@list @t15)) % 15.44/15.83 (define @t391 () (forall @t387 @t378)) % 15.44/15.83 (define @t392 () (forall (@list @t328) @t360)) % 15.44/15.83 (define @t393 () (forall @t387 @t360)) % 15.44/15.83 (define @t394 () (forall @t387 @t113)) % 15.44/15.83 (define @t395 () (and @t394 @t393 @t391 @t388)) % 15.44/15.83 (define @t396 () (forall @t387 @t379)) % 15.44/15.83 (define @t397 () (@list @t330 @t329)) % 15.44/15.83 (define @t398 () (forall @t397 @t361)) % 15.44/15.83 (define @t399 () (forall @t397 @t366)) % 15.44/15.83 (define @t400 () (forall (@list @t329) @t382)) % 15.44/15.83 (define @t401 () (forall @t397 @t382)) % 15.44/15.83 (define @t402 () (forall @t397 @t110)) % 15.44/15.83 (define @t403 () (forall (@list @t330) @t370)) % 15.44/15.83 (define @t404 () (forall @t397 @t370)) % 15.44/15.83 (define @t405 () (forall @t397 @t113)) % 15.44/15.83 (define @t406 () (and @t405 @t404 @t402 @t401 @t399 @t398)) % 15.44/15.83 (define @t407 () (forall @t397 @t383)) % 15.44/15.83 (define @t408 () (or @t371 @t407 @t396)) % 15.44/15.83 (define @t409 () (forall @t18 (or (not @t121) @t122))) % 15.44/15.83 (define @t410 () (and @t113 @t409 @t129 @t145)) % 15.44/15.83 (define @t411 () (and @t113 @t409 @t110 @t139 @t366 @t361)) % 15.44/15.83 (define @t412 () (or @t371 @t411 @t410)) % 15.44/15.83 (define @t413 () (and @t110 @t139 @t366 @t361)) % 15.44/15.83 (define @t414 () (and @t113 @t409)) % 15.44/15.83 (define @t415 () (or @t364 @t133)) % 15.44/15.83 (define @t416 () (and @t415 @t132)) % 15.44/15.83 (define @t417 () (or @t416 @t131)) % 15.44/15.83 (define @t418 () (=> @t140 @t417)) % 15.44/15.83 (define @t419 () (=> @t414 @t418)) % 15.44/15.83 (define @t420 () (and @t19 @t419)) % 15.44/15.83 (define @t421 () (not (= @t344 tptp.xk))) % 15.44/15.83 (define @t422 () (or @t345 @t421 @t343)) % 15.44/15.83 (define @t423 () (forall @t346 @t422)) % 15.44/15.83 (define @t424 () (@list @t323)) % 15.44/15.83 (define @t425 () (forall @t424 @t355)) % 15.44/15.83 (define @t426 () (@list @t324)) % 15.44/15.83 (define @t427 () (forall @t424 @t349)) % 15.44/15.83 (define @t428 () (forall @t424 @t350)) % 15.44/15.83 (define @t429 () (forall @t424 @t351)) % 15.44/15.83 (define @t430 () (forall @t424 @t352)) % 15.44/15.83 (define @t431 () (and @t430 @t429 @t428 @t427)) % 15.44/15.83 (define @t432 () (forall @t424 @t353)) % 15.44/15.83 (define @t433 () (or @t354 @t432)) % 15.44/15.83 (define @t434 () (forall @t18 (or (not (tptp.aElementOf0 @t15 @t324)) @t134))) % 15.44/15.83 (define @t435 () (and @t352 @t434 @t350 (= @t348 tptp.xk))) % 15.44/15.83 (define @t436 () (or @t354 @t435)) % 15.44/15.83 (define @t437 () (forall @t426 @t436)) % 15.44/15.83 (define @t438 () (and (or @t371 @t365) @t363)) % 15.44/15.83 (define @t439 () (or @t438 @t362 @t150)) % 15.44/15.83 (define @t440 () (forall @t8 @t439)) % 15.44/15.83 (define @t441 () (and @t19 @t364 @t133 @t132)) % 15.44/15.83 (define @t442 () (or (not @t150) @t441)) % 15.44/15.83 (define @t443 () (forall @t8 @t442)) % 15.44/15.83 (define @t444 () (and @t443 @t440)) % 15.44/15.83 (define @t445 () (and @t19 @t364)) % 15.44/15.83 (define @t446 () (or @t445 @t133)) % 15.44/15.83 (define @t447 () (and @t446 @t132)) % 15.44/15.83 (define @t448 () (and (=> @t150 @t441) (=> @t447 @t150))) % 15.44/15.83 (define @t449 () (tptp.aElementOf0 tptp.sz00 @t165)) % 15.44/15.83 (define @t450 () (= tptp.xk (tptp.sbrdtbr0 tptp.sz00))) % 15.44/15.83 (define @t451 () (not @t450)) % 15.44/15.83 (define @t452 () (tptp.aSubsetOf0 tptp.sz00 @t173)) % 15.44/15.83 (define @t453 () (not @t452)) % 15.44/15.83 (define @t454 () (not (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.sz00)) (tptp.aElementOf0 @t15 @t173))))) % 15.44/15.83 (define @t455 () (tptp.aSet0 tptp.sz00)) % 15.44/15.83 (define @t456 () (not @t455)) % 15.44/15.83 (define @t457 () (or (and (or @t456 @t454) @t453) @t451 @t449)) % 15.44/15.83 (define @t458 () (tptp.aElementOf0 tptp.sz00 tptp.sz00)) % 15.44/15.83 (define @t459 () (or (not @t449) (and @t455 (or (not @t458) @t258) @t452 @t450))) % 15.44/15.83 (define @t460 () (tptp.sdtpldt0 tptp.sz00 @t172)) % 15.44/15.83 (define @t461 () (= (tptp.sdtlpdtrp0 @t164 tptp.sz00) (tptp.sdtlpdtrp0 tptp.xc @t460))) % 15.44/15.83 (define @t462 () (or @t458 @t253)) % 15.44/15.83 (define @t463 () (and @t256 @t462)) % 15.44/15.83 (define @t464 () (tptp.aElementOf0 tptp.sz00 @t460)) % 15.44/15.83 (define @t465 () (= @t464 @t463)) % 15.44/15.83 (define @t466 () (and @t191 @t260 @t465 @t461)) % 15.44/15.83 (define @t467 () (not (tptp.aElementOf0 tptp.sz00 @t174))) % 15.44/15.83 (define @t468 () (or (and @t454 @t453) @t451)) % 15.44/15.83 (define @t469 () (and @t191 @t260 @t186 @t259 @t468 @t467)) % 15.44/15.83 (define @t470 () (or @t456 @t469 @t466)) % 15.44/15.83 (define @t471 () (tptp.aFunction0 @t164)) % 15.44/15.83 (define @t472 () (and @t471 @t191 @t260 @t186 @t259 (= @t174 @t165) @t470 @t459 @t457)) % 15.44/15.83 (define @t473 () (tptp.aElementOf0 tptp.xi @t118)) % 15.44/15.83 (define @t474 () (not @t473)) % 15.44/15.83 (define @t475 () (or @t474 @t472)) % 15.44/15.83 (define @t476 () (forall @t305 (or (not (tptp.aElementOf0 @t1 @t118)) @t302))) % 15.44/15.83 (define @t477 () (= @t165 @t174)) % 15.44/15.83 (define @t478 () (and @t471 @t191 @t260 @t186 @t264 @t477 (or @t456 (and @t191 @t260 @t186 @t264 @t468 @t467) (and @t191 @t260 (= @t464 (and @t256 (or @t458 @t263))) @t461)) @t459 @t457)) % 15.44/15.83 (define @t479 () (or @t474 @t478)) % 15.44/15.83 (assume @p1 (forall @t3 (=> @t2 true))) % 15.44/15.83 (assume @p2 (forall @t3 (=> @t4 true))) % 15.44/15.83 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 15.44/15.83 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 15.44/15.83 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 15.44/15.83 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 15.44/15.83 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 15.44/15.83 (assume @p8 (forall @t3 (=> @t13 @t12))) % 15.44/15.83 (assume @p9 (forall @t3 (=> @t13 @t14))) % 15.44/15.83 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 15.44/15.83 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 15.44/15.83 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 15.44/15.83 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 15.44/15.83 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 15.44/15.83 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 15.44/15.83 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 15.44/15.83 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 15.44/15.83 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 15.44/15.83 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 15.44/15.83 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 15.44/15.83 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 15.44/15.83 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 15.44/15.83 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 15.44/15.83 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 15.44/15.83 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 15.44/15.83 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 15.44/15.83 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 15.44/15.83 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 15.44/15.83 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 15.44/15.83 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 15.44/15.83 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 15.44/15.83 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 15.44/15.83 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 15.44/15.83 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 15.44/15.83 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23)))) % 15.44/15.83 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15))))) % 15.44/15.83 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 15.44/15.83 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 15.44/15.83 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 15.44/15.83 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53)))) % 15.44/15.83 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9)))) % 15.44/15.83 (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10)))) % 15.44/15.83 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> @t54 (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53)))))))) % 15.44/15.83 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53)))))) % 15.44/15.83 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t55 @t53)))))) % 15.44/15.83 (assume @p46 (forall @t25 (=> @t56 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 15.44/15.83 (assume @p47 (forall @t3 (=> (and @t58 @t14) (forall @t8 (= (= @t5 @t57) (and @t7 (forall @t18 (=> @t16 @t51)))))))) % 15.44/15.83 (assume @p48 (forall @t3 (=> (and @t58 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 15.44/15.83 (assume @p49 (forall @t25 (=> (and @t58 @t60 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t57 @t5) (tptp.aElementOf0 @t59 @t1)) (= @t57 @t59))))) % 15.44/15.83 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t61) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 15.44/15.83 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t61)))) % 15.44/15.83 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 15.44/15.83 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t62) @t23))))) % 15.44/15.83 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t61 @t62))))) % 15.44/15.83 (assume @p55 (forall @t3 (=> (and @t58 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t62)))))) % 15.44/15.83 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t61) @t1)))) % 15.44/15.83 (assume @p57 (forall @t25 (=> @t56 (forall @t18 (= (= @t15 @t65) (and @t27 (forall @t34 (= @t33 (and @t64 (= @t63 @t5)))))))))) % 15.44/15.83 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t65)))))) % 15.44/15.83 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t65 tptp.slcrc0))))))) % 15.44/15.83 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t65)))))) % 15.44/15.83 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t66 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t66 tptp.slcrc0))) @t26)))))) % 15.44/15.83 (assume @p62 (forall @t25 (=> @t56 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t65) (tptp.isFinite0 @t15)) (exists @t34 (and @t64 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 15.44/15.83 (assume @p63 (forall @t3 (=> @t67 true))) % 15.44/15.83 (assume @p64 (forall @t3 (=> @t67 (tptp.aSet0 @t68)))) % 15.44/15.83 (assume @p65 (forall @t3 (=> @t67 (forall @t8 (=> @t70 (tptp.aElement0 @t69)))))) % 15.44/15.83 (assume @p66 (forall @t25 (=> @t74 (forall @t18 (= (= @t15 @t73) (and @t27 (forall @t34 (= @t33 (and @t72 (= @t71 @t5)))))))))) % 15.44/15.83 (assume @p67 (forall @t25 (=> @t74 (tptp.aSubsetOf0 @t73 @t68)))) % 15.44/15.83 (assume @p68 (forall @t3 (=> @t67 (forall @t8 (=> @t79 (forall @t18 (= (= @t15 @t78) (and @t27 (forall @t34 (= @t33 (exists @t77 (and @t76 (= (tptp.sdtlpdtrp0 @t1 @t75) @t29))))))))))))) % 15.44/15.83 (assume @p69 (forall @t3 (=> @t67 (forall @t8 (=> @t70 (tptp.aElementOf0 @t69 @t80)))))) % 15.44/15.83 (assume @p70 (forall @t3 (=> @t67 (forall @t8 (=> @t79 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t82 (= @t81 @t5) (forall @t34 (=> (tptp.aElementOf0 @t29 @t5) (= (tptp.sdtlpdtrp0 @t15 @t29) @t71))))))))))) % 15.44/15.83 (assume @p71 (forall @t3 (=> @t67 (forall @t8 (=> (and @t79 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t68) @t72 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t71)))) (tptp.isCountable0 @t78))))))) % 15.44/15.83 (assume @p72 (forall @t3 (=> @t67 (=> (and (tptp.isCountable0 @t68) (tptp.isFinite0 @t80)) (and (tptp.aElement0 @t83) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t83))))))) % 15.44/15.83 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 15.44/15.83 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 15.44/15.83 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xS) @t44)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 15.44/15.83 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t88 (and @t2 @t91 @t90 @t89)) (=> (and (or (and @t2 @t91) @t90) @t89) @t88))) (= @t84 @t87) (tptp.aSet0 @t85) (forall @t3 (= @t86 (exists @t8 (and (tptp.aElementOf0 @t5 @t84) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t86 (tptp.aElementOf0 @t1 tptp.xT))) (tptp.aSubsetOf0 @t85 tptp.xT))) % 15.44/15.83 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t52))) @t60) @t39) (forall @t18 (=> (and @t82 (or (forall @t34 (and (=> @t98 (and (or (and @t102 @t101) @t100) @t99)) (=> (and @t102 @t101 @t100 @t99) @t98))) (= @t81 @t66)) (=> (and (tptp.aSet0 @t96) (forall @t34 (= @t97 (exists @t77 (and (tptp.aElementOf0 @t75 @t81) (= (tptp.sdtlpdtrp0 @t15 @t75) @t29)))))) (or (forall @t34 (=> @t97 @t95)) (tptp.aSubsetOf0 @t96 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t95 (exists @t77 (and (tptp.aSet0 @t75) (forall @t94 (=> (tptp.aElementOf0 @t92 @t75) (tptp.aElementOf0 @t92 @t5))) (tptp.aSubsetOf0 @t75 @t5) (tptp.isCountable0 @t75) (forall @t94 (=> (or (and (or (and (tptp.aSet0 @t92) (forall (@list @t93) (=> (tptp.aElementOf0 @t93 @t92) (tptp.aElementOf0 @t93 @t75)))) (tptp.aSubsetOf0 @t92 @t75)) (= (tptp.sbrdtbr0 @t92) @t1)) (tptp.aElementOf0 @t92 (tptp.slbdtsldtrb0 @t75 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t92) @t29))))))))))))))) % 15.44/15.83 (assume @p78 (not (= tptp.xK tptp.sz00))) % 15.44/15.83 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 15.44/15.83 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t118 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t44 (=> (and (or (and @t117 @t116) @t115) @t114) (and @t113 @t112 @t110 @t109 (tptp.aSet0 @t103) (forall @t8 (=> (tptp.aElementOf0 @t5 @t103) @t107)) (tptp.aSubsetOf0 @t103 @t106) (tptp.isCountable0 @t103))))))) % 15.44/15.83 (assume @p81 (forall @t3 (=> @t44 (and @t117 @t116 @t115 @t114)))) % 15.44/15.83 (assume @p82 (forall @t25 (=> @t47 (=> @t50 (and (forall @t18 (=> @t121 @t120)) (tptp.aSubsetOf0 @t104 @t119)))))) % 15.44/15.83 (assume @p83 (forall @t25 (=> (and @t44 @t46 (not @t23)) (not (=> @t124 (or (and (tptp.aElementOf0 @t105 @t119) (forall @t18 (=> @t120 @t122))) (= @t105 (tptp.szmzizndt0 @t119)))))))) % 15.44/15.83 (assume @p84 (forall @t3 (=> @t44 (forall @t8 (=> @t143 (and @t113 @t123 (tptp.aSet0 @t125) @t129 (forall @t18 (=> @t126 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t125 tptp.xS) (= (tptp.sbrdtbr0 @t125) tptp.xK) (tptp.aElementOf0 @t125 @t87))))))) % 15.44/15.83 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) @t162)) % 15.44/15.83 (assume @p86 @t163) % 15.44/15.83 (assume @p87 (and @t170 (tptp.aElementOf0 tptp.xx (tptp.sdtlcdtrc0 @t164 @t165)))) % 15.44/15.83 (assume @p88 @t196) % 15.44/15.83 (assume @p89 true) % 15.44/15.83 (step @p90 :rule evaluate :args ((= true false))) % 15.44/15.83 (step @p91 :rule bool-double-not-elim :args (@t211)) % 15.44/15.83 (step @p92 :rule refl :args (@t198)) % 15.44/15.83 (step @p93 :rule refl :args (@t199)) % 15.44/15.83 (step @p94 :rule refl :args (@t203)) % 15.44/15.83 (step @p95 :rule eq-symm :args (@t204 @t172)) % 15.44/15.83 (step @p96 :rule cong :premises (@p95) :args (@t212)) % 15.44/15.83 (step @p97 :rule refl :args (@t205)) % 15.44/15.83 (step @p98 :rule refl :args (@t206)) % 15.44/15.83 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args (@t213)) % 15.44/15.83 (step @p100 :rule refl :args (@t207)) % 15.44/15.83 (step @p101 :rule cong :premises (@p100 @p99) :args (@t214)) % 15.44/15.83 (step @p102 :rule refl :args (@t186)) % 15.44/15.83 (step @p103 :rule refl :args (@t209)) % 15.44/15.83 (step @p104 :rule refl :args (@t191)) % 15.44/15.83 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101 @p94 @p93) :args (@t215)) % 15.44/15.83 (step @p106 :rule nary_cong :premises (@p105 @p92) :args (@t216)) % 15.44/15.83 (step @p107 :rule cong :premises (@p106) :args (@t217)) % 15.44/15.83 (step @p108 :rule quant-merge-prenex :args ((= (forall @t3 @t219) @t217))) % 15.44/15.83 (step @p109 :rule refl :args (@t198)) % 15.44/15.83 (step @p110 :rule quant-unused-vars :args ((= @t220 @t199))) % 15.44/15.83 (step @p111 :rule quant-unused-vars :args ((= @t221 @t203))) % 15.44/15.83 (step @p112 :rule alpha_equiv :args (@t222 (@list @t204) @t223)) % 15.44/15.83 (step @p113 :rule quant-unused-vars :args ((= @t224 @t222))) % 15.44/15.83 (step @p114 :rule trans :premises (@p113 @p112)) % 15.44/15.83 (step @p115 :rule quant-unused-vars :args ((= @t225 @t186))) % 15.44/15.83 (step @p116 :rule alpha_equiv :args (@t226 (@list @t208) @t223)) % 15.44/15.83 (step @p117 :rule quant-unused-vars :args ((= @t227 @t226))) % 15.44/15.83 (step @p118 :rule trans :premises (@p117 @p116)) % 15.44/15.83 (step @p119 :rule quant-unused-vars :args ((= @t228 @t191))) % 15.44/15.83 (step @p120 :rule nary_cong :premises (@p119 @p118 @p115 @p114 @p111 @p110) :args (@t229)) % 15.44/15.83 (step @p121 :rule quant-miniscope-and :args ((= @t230 @t229))) % 15.44/15.83 (step @p122 :rule trans :premises (@p121 @p120)) % 15.44/15.83 (step @p123 :rule nary_cong :premises (@p122 @p109) :args (@t231)) % 15.44/15.83 (step @p124 :rule quant-miniscope-or :args ((= @t219 @t231))) % 15.44/15.83 (step @p125 :rule trans :premises (@p124 @p123)) % 15.44/15.83 (step @p126 :rule symm :premises (@p125)) % 15.44/15.83 (step @p127 :rule cong :premises (@p126) :args ((forall @t3 (or @t233 @t198)))) % 15.44/15.83 (step @p128 :rule trans :premises (@p127 @p108)) % 15.44/15.83 (step @p129 :rule trans :premises (@p128 @p107)) % 15.44/15.83 (step @p130 :rule aci_norm :args ((= (and @t235 @t234) @t233))) % 15.44/15.83 (step @p131 :rule aci_norm :args ((= (and @t187 (and @t203 @t199)) @t234))) % 15.44/15.83 (step @p132 :rule refl :args (@t199)) % 15.44/15.83 (step @p133 :rule refl :args (@t200)) % 15.44/15.83 (step @p134 :rule refl :args (@t201)) % 15.44/15.83 (step @p135 :rule bool-and-de-morgan :args (@t2 @t202 true)) % 15.44/15.83 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((and (not @t236) @t201))) % 15.44/15.83 (step @p137 :rule bool-or-de-morgan :args (@t236 @t177 false)) % 15.44/15.83 (step @p138 :rule trans :premises (@p137 @p136)) % 15.44/15.83 (step @p139 :rule nary_cong :premises (@p138 @p133) :args ((or (not @t237) @t200))) % 15.44/15.83 (step @p140 :rule bool-and-de-morgan :args (@t237 @t176 true)) % 15.44/15.83 (step @p141 :rule trans :premises (@p140 @p139)) % 15.44/15.83 (step @p142 :rule nary_cong :premises (@p141 @p132) :args ((and (not @t238) @t199))) % 15.44/15.83 (step @p143 :rule bool-or-de-morgan :args (@t238 @t175 false)) % 15.44/15.83 (step @p144 :rule trans :premises (@p143 @p142)) % 15.44/15.83 (step @p145 :rule refl :args (@t187)) % 15.44/15.83 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((and @t187 (not @t239)))) % 15.44/15.83 (step @p147 :rule trans :premises (@p146 @p131)) % 15.44/15.83 (step @p148 :rule bool-implies-de-morgan :args (@t187 @t239)) % 15.44/15.83 (step @p149 :rule trans :premises (@p148 @p147)) % 15.44/15.83 (step @p150 :rule refl :args (@t235)) % 15.44/15.83 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((and @t235 (not @t240)))) % 15.44/15.83 (step @p152 :rule trans :premises (@p151 @p130)) % 15.44/15.83 (step @p153 :rule bool-implies-de-morgan :args (@t235 @t240)) % 15.44/15.83 (step @p154 :rule trans :premises (@p153 @p152)) % 15.44/15.83 (step @p155 :rule nary_cong :premises (@p154 @p109) :args ((or (not @t241) @t198))) % 15.44/15.83 (step @p156 :rule bool-and-de-morgan :args (@t241 @t197 true)) % 15.44/15.83 (step @p157 :rule trans :premises (@p156 @p155)) % 15.44/15.83 (step @p158 :rule cong :premises (@p157) :args (@t243)) % 15.44/15.83 (step @p159 :rule trans :premises (@p158 @p129)) % 15.44/15.83 (step @p160 :rule cong :premises (@p159) :args (@t244)) % 15.44/15.83 (step @p161 :rule exists-elim :args ((= (exists @t3 @t242) @t244))) % 15.44/15.83 (step @p162 :rule trans :premises (@p161 @p160)) % 15.44/15.83 (step @p163 :rule eq-symm :args (@t166 tptp.xx)) % 15.44/15.83 (step @p164 :rule refl :args (@t175)) % 15.44/15.83 (step @p165 :rule refl :args (@t176)) % 15.44/15.83 (step @p166 :rule refl :args (@t177)) % 15.44/15.83 (step @p167 :rule bool-impl-elim :args (@t7 @t178)) % 15.44/15.83 (step @p168 :rule cong :premises (@p167) :args (@t179)) % 15.44/15.83 (step @p169 :rule refl :args (@t2)) % 15.44/15.83 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t180)) % 15.44/15.83 (step @p171 :rule nary_cong :premises (@p170 @p166) :args (@t181)) % 15.44/15.83 (step @p172 :rule nary_cong :premises (@p171 @p165) :args (@t182)) % 15.44/15.83 (step @p173 :rule nary_cong :premises (@p172 @p164) :args (@t183)) % 15.44/15.83 (step @p174 :rule refl :args (@t187)) % 15.44/15.83 (step @p175 :rule cong :premises (@p174 @p173) :args (@t188)) % 15.44/15.83 (step @p176 :rule bool-impl-elim :args (@t184 @t189)) % 15.44/15.83 (step @p177 :rule cong :premises (@p176) :args (@t190)) % 15.44/15.83 (step @p178 :rule nary_cong :premises (@p104 @p177) :args (@t192)) % 15.44/15.83 (step @p179 :rule cong :premises (@p178 @p175) :args (@t193)) % 15.44/15.83 (step @p180 :rule nary_cong :premises (@p179 @p163) :args (@t194)) % 15.44/15.83 (step @p181 :rule cong :premises (@p180) :args (@t195)) % 15.44/15.83 (step @p182 :rule trans :premises (@p181 @p162)) % 15.44/15.83 (step @p183 :rule cong :premises (@p182) :args (@t196)) % 15.44/15.83 (step @p184 :rule trans :premises (@p183 @p91)) % 15.44/15.83 (step @p185 :rule eq_resolve :premises (@p88 @p184)) % 15.44/15.83 (step @p186 :rule refl :args (@t247)) % 15.44/15.83 (step @p187 :rule refl :args (@t248)) % 15.44/15.83 (step @p188 :rule eq-symm :args (@t249 tptp.xk)) % 15.44/15.83 (step @p189 :rule cong :premises (@p188) :args (@t250)) % 15.44/15.83 (step @p190 :rule refl :args (@t251)) % 15.44/15.83 (step @p191 :rule nary_cong :premises (@p190 @p189) :args (@t252)) % 15.44/15.83 (step @p192 :rule eq-symm :args (@t172 tptp.sz00)) % 15.44/15.83 (step @p193 :rule cong :premises (@p192) :args (@t254)) % 15.44/15.83 (step @p194 :rule refl :args (@t255)) % 15.44/15.83 (step @p195 :rule refl :args (@t256)) % 15.44/15.83 (step @p196 :rule nary_cong :premises (@p195 @p194 @p193) :args (@t257)) % 15.44/15.83 (step @p197 :rule refl :args (@t258)) % 15.44/15.83 (step @p198 :rule cong :premises (@p197 @p196) :args (@t259)) % 15.44/15.83 (step @p199 :rule refl :args (@t260)) % 15.44/15.83 (step @p200 :rule nary_cong :premises (@p104 @p199 @p102 @p198 @p191 @p187) :args (@t261)) % 15.44/15.83 (step @p201 :rule nary_cong :premises (@p200 @p186) :args (@t262)) % 15.44/15.83 (step @p202 :rule refl :args (@t211)) % 15.44/15.83 (step @p203 :rule cong :premises (@p202 @p201) :args ((=> @t211 @t262))) % 15.44/15.83 (assume-push @p546 @t211) % 15.44/15.83 (step @p205 :rule instantiate :premises (@p185) :args ((@list @t245 tptp.sz00 tptp.sz00))) % 15.44/15.83 (step-pop @p547 :rule scope :premises (@p205)) % 15.44/15.83 (step @p206 :rule process_scope :premises (@p547) :args (@t262)) % 15.44/15.83 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 15.44/15.83 (step @p209 :rule implies_elim :premises (@p208)) % 15.44/15.83 (step @p210 :rule chain_m_resolution :premises (@p209 @p185) :args (@t266 @t267 (@list @t211))) % 15.44/15.83 (step @p211 :rule bool-and-de-morgan :args (@t168 @t197 true)) % 15.44/15.83 (step @p212 :rule cong :premises (@p211) :args (@t269)) % 15.44/15.83 (step @p213 :rule cong :premises (@p212) :args (@t270)) % 15.44/15.83 (step @p214 :rule exists-elim :args ((= (exists @t3 @t268) @t270))) % 15.44/15.83 (step @p215 :rule trans :premises (@p214 @p213)) % 15.44/15.83 (step @p216 :rule refl :args (@t168)) % 15.44/15.83 (step @p217 :rule nary_cong :premises (@p216 @p163) :args (@t169)) % 15.44/15.83 (step @p218 :rule cong :premises (@p217) :args (@t170)) % 15.44/15.83 (step @p219 :rule trans :premises (@p218 @p215)) % 15.44/15.83 (step @p220 :rule and_elim :premises (@p87) :args (0)) % 15.44/15.83 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 15.44/15.83 (step @p222 :rule skolemize :premises (@p221)) % 15.44/15.83 (step @p223 :rule bool-double-not-elim :args (@t246)) % 15.44/15.83 (step @p224 :rule refl :args (@t273)) % 15.44/15.83 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t273 (not @t247)))) % 15.44/15.83 (step @p226 :rule cnf_or_neg :args (@t273 1)) % 15.44/15.83 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 15.44/15.83 (step @p228 :rule reordering :premises (@p227) :args ((or @t246 @t273))) % 15.44/15.83 (step @p229 :rule chain_m_resolution :premises (@p228 @p222) :args (@t246 @t274 @t275)) % 15.44/15.83 (step @p230 :rule cnf_or_pos :args (@t266)) % 15.44/15.83 (step @p231 :rule reordering :premises (@p230) :args ((or @t247 @t265 (not @t266)))) % 15.44/15.83 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p210) :args (@t265 @t276 (@list @t246 @t266))) % 15.44/15.83 (step @p233 :rule cnf_and_pos :args (@t265 5)) % 15.44/15.83 (step @p234 :rule reordering :premises (@p233) :args ((or @t248 (not @t265)))) % 15.44/15.83 (step @p235 :rule chain_m_resolution :premises (@p234 @p232) :args (@t248 @t267 (@list @t265))) % 15.44/15.83 (step @p236 :rule false_intro :premises (@p235)) % 15.44/15.83 (step @p237 :rule refl :args (@t302)) % 15.44/15.83 (step @p238 :rule and_elim :premises (@p80) :args (1)) % 15.44/15.83 (step @p239 :rule symm :premises (@p238)) % 15.44/15.83 (step @p240 :rule refl :args (@t1)) % 15.44/15.83 (step @p241 :rule cong :premises (@p240 @p239) :args (@t44)) % 15.44/15.83 (step @p242 :rule cong :premises (@p241) :args (@t303)) % 15.44/15.83 (step @p243 :rule nary_cong :premises (@p242 @p237) :args (@t304)) % 15.44/15.83 (step @p244 :rule cong :premises (@p243) :args ((forall @t305 @t304))) % 15.44/15.83 (step @p245 :rule refl :args (@t278)) % 15.44/15.83 (step @p246 :rule refl :args (@t281)) % 15.44/15.83 (step @p247 :rule refl :args (@t286)) % 15.44/15.83 (step @p248 :rule refl :args (@t287)) % 15.44/15.83 (step @p249 :rule eq-symm :args (@t288 tptp.xk)) % 15.44/15.83 (step @p250 :rule cong :premises (@p249) :args (@t306)) % 15.44/15.83 (step @p251 :rule refl :args (@t289)) % 15.44/15.83 (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t307)) % 15.44/15.83 (step @p253 :rule refl :args (@t291)) % 15.44/15.83 (step @p254 :rule refl :args (@t110)) % 15.44/15.83 (step @p255 :rule refl :args (@t293)) % 15.44/15.83 (step @p256 :rule refl :args (@t113)) % 15.44/15.83 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254 @p253 @p252 @p248) :args (@t308)) % 15.44/15.83 (step @p258 :rule refl :args (@t294)) % 15.44/15.83 (step @p259 :rule nary_cong :premises (@p258 @p257 @p247) :args (@t309)) % 15.44/15.83 (step @p260 :rule refl :args (@t295)) % 15.44/15.83 (step @p261 :rule eq-symm :args (@t296 @t105)) % 15.44/15.83 (step @p262 :rule cong :premises (@p261) :args (@t310)) % 15.44/15.83 (step @p263 :rule refl :args (@t297)) % 15.44/15.83 (step @p264 :rule refl :args (@t298)) % 15.44/15.83 (step @p265 :rule nary_cong :premises (@p264 @p263 @p262) :args (@t311)) % 15.44/15.83 (step @p266 :rule refl :args (@t299)) % 15.44/15.83 (step @p267 :rule cong :premises (@p266 @p265) :args (@t312)) % 15.44/15.83 (step @p268 :rule refl :args (@t301)) % 15.44/15.83 (step @p269 :rule refl :args (@t159)) % 15.44/15.83 (step @p270 :rule nary_cong :premises (@p269 @p256 @p268 @p254 @p267 @p260 @p259 @p246 @p245) :args (@t313)) % 15.44/15.83 (step @p271 :rule refl :args (@t303)) % 15.44/15.83 (step @p272 :rule nary_cong :premises (@p271 @p270) :args (@t314)) % 15.44/15.83 (step @p273 :rule cong :premises (@p272) :args (@t315)) % 15.44/15.83 (step @p274 :rule quant-merge-prenex :args ((= (forall @t3 @t317) @t315))) % 15.44/15.83 (step @p275 :rule alpha_equiv :args (@t318 (@list @t277) @t320)) % 15.44/15.83 (step @p276 :rule quant-unused-vars :args ((= @t321 @t318))) % 15.44/15.83 (step @p277 :rule trans :premises (@p276 @p275)) % 15.44/15.83 (step @p278 :rule alpha_equiv :args (@t322 (@list @t279 @t280) (@list @t324 @t323))) % 15.44/15.83 (step @p279 :rule quant-unused-vars :args ((= @t325 @t322))) % 15.44/15.83 (step @p280 :rule trans :premises (@p279 @p278)) % 15.44/15.83 (step @p281 :rule alpha_equiv :args (@t326 (@list @t282 @t292 @t290 @t285 @t284) (@list @t5 @t330 @t329 @t328 @t327))) % 15.44/15.83 (step @p282 :rule quant-unused-vars :args ((= @t331 @t326))) % 15.44/15.83 (step @p283 :rule trans :premises (@p282 @p281)) % 15.44/15.83 (step @p284 :rule quant-unused-vars :args ((= @t332 @t295))) % 15.44/15.83 (step @p285 :rule alpha_equiv :args (@t333 (@list @t296) @t223)) % 15.44/15.83 (step @p286 :rule quant-unused-vars :args ((= @t334 @t333))) % 15.44/15.83 (step @p287 :rule trans :premises (@p286 @p285)) % 15.44/15.83 (step @p288 :rule quant-unused-vars :args ((= @t335 @t110))) % 15.44/15.83 (step @p289 :rule alpha_equiv :args (@t336 (@list @t300) @t223)) % 15.44/15.83 (step @p290 :rule quant-unused-vars :args ((= @t337 @t336))) % 15.44/15.83 (step @p291 :rule trans :premises (@p290 @p289)) % 15.44/15.83 (step @p292 :rule quant-unused-vars :args ((= @t338 @t113))) % 15.44/15.83 (step @p293 :rule quant-unused-vars :args ((= @t339 @t159))) % 15.44/15.83 (step @p294 :rule nary_cong :premises (@p293 @p292 @p291 @p288 @p287 @p284 @p283 @p280 @p277) :args (@t340)) % 15.44/15.83 (step @p295 :rule quant-miniscope-and :args ((= @t341 @t340))) % 15.44/15.83 (step @p296 :rule trans :premises (@p295 @p294)) % 15.44/15.83 (step @p297 :rule refl :args (@t303)) % 15.44/15.83 (step @p298 :rule nary_cong :premises (@p297 @p296) :args (@t342)) % 15.44/15.83 (step @p299 :rule quant-miniscope-or :args ((= @t317 @t342))) % 15.44/15.83 (step @p300 :rule trans :premises (@p299 @p298)) % 15.44/15.83 (step @p301 :rule symm :premises (@p300)) % 15.44/15.83 (step @p302 :rule cong :premises (@p301) :args ((forall @t3 (or @t303 @t375)))) % 15.44/15.83 (step @p303 :rule trans :premises (@p302 @p274)) % 15.44/15.83 (step @p304 :rule trans :premises (@p303 @p273)) % 15.44/15.83 (step @p305 :rule bool-impl-elim :args (@t44 @t375)) % 15.44/15.83 (step @p306 :rule cong :premises (@p305) :args ((forall @t3 (=> @t44 @t375)))) % 15.44/15.83 (step @p307 :rule trans :premises (@p306 @p304)) % 15.44/15.83 (step @p308 :rule aci_norm :args ((= (and @t159 @t113 @t374 @t110 @t109 (and @t356 @t347) @t295 @t373) @t375))) % 15.44/15.83 (step @p309 :rule refl :args (@t145)) % 15.44/15.83 (step @p310 :rule eq-symm :args (@t327 @t105)) % 15.44/15.83 (step @p311 :rule refl :args (@t357)) % 15.44/15.83 (step @p312 :rule nary_cong :premises (@p311 @p310) :args (@t376)) % 15.44/15.83 (step @p313 :rule refl :args (@t358)) % 15.44/15.83 (step @p314 :rule nary_cong :premises (@p313 @p312) :args (@t377)) % 15.44/15.83 (step @p315 :rule refl :args (@t359)) % 15.44/15.83 (step @p316 :rule cong :premises (@p315 @p314) :args (@t378)) % 15.44/15.83 (step @p317 :rule refl :args (@t360)) % 15.44/15.83 (step @p318 :rule nary_cong :premises (@p256 @p317 @p316 @p309) :args (@t379)) % 15.44/15.83 (step @p319 :rule refl :args (@t361)) % 15.44/15.83 (step @p320 :rule refl :args (@t366)) % 15.44/15.83 (step @p321 :rule eq-symm :args (@t329 @t105)) % 15.44/15.83 (step @p322 :rule cong :premises (@p321) :args (@t380)) % 15.44/15.83 (step @p323 :rule refl :args (@t367)) % 15.44/15.83 (step @p324 :rule refl :args (@t368)) % 15.44/15.83 (step @p325 :rule nary_cong :premises (@p324 @p323 @p322) :args (@t381)) % 15.44/15.83 (step @p326 :rule refl :args (@t369)) % 15.44/15.83 (step @p327 :rule cong :premises (@p326 @p325) :args (@t382)) % 15.44/15.83 (step @p328 :rule refl :args (@t370)) % 15.44/15.83 (step @p329 :rule nary_cong :premises (@p256 @p328 @p254 @p327 @p320 @p319) :args (@t383)) % 15.44/15.83 (step @p330 :rule refl :args (@t371)) % 15.44/15.83 (step @p331 :rule nary_cong :premises (@p330 @p329 @p318) :args (@t384)) % 15.44/15.83 (step @p332 :rule cong :premises (@p331) :args (@t385)) % 15.44/15.83 (step @p333 :rule quant-merge-prenex :args ((= (forall @t8 @t386) @t385))) % 15.44/15.83 (step @p334 :rule quant-unused-vars :args ((= @t388 @t145))) % 15.44/15.83 (step @p335 :rule alpha_equiv :args (@t389 (@list @t327) @t390)) % 15.44/15.83 (step @p336 :rule quant-unused-vars :args ((= @t391 @t389))) % 15.44/15.83 (step @p337 :rule trans :premises (@p336 @p335)) % 15.44/15.83 (step @p338 :rule alpha_equiv :args (@t392 (@list @t328) @t390)) % 15.44/15.83 (step @p339 :rule quant-unused-vars :args ((= @t393 @t392))) % 15.44/15.83 (step @p340 :rule trans :premises (@p339 @p338)) % 15.44/15.83 (step @p341 :rule quant-unused-vars :args ((= @t394 @t113))) % 15.44/15.83 (step @p342 :rule nary_cong :premises (@p341 @p340 @p337 @p334) :args (@t395)) % 15.44/15.83 (step @p343 :rule quant-miniscope-and :args ((= @t396 @t395))) % 15.44/15.83 (step @p344 :rule trans :premises (@p343 @p342)) % 15.44/15.83 (step @p345 :rule quant-unused-vars :args ((= @t398 @t361))) % 15.44/15.83 (step @p346 :rule quant-unused-vars :args ((= @t399 @t366))) % 15.44/15.83 (step @p347 :rule alpha_equiv :args (@t400 (@list @t329) @t390)) % 15.44/15.83 (step @p348 :rule quant-unused-vars :args ((= @t401 @t400))) % 15.44/15.83 (step @p349 :rule trans :premises (@p348 @p347)) % 15.44/15.83 (step @p350 :rule quant-unused-vars :args ((= @t402 @t110))) % 15.44/15.83 (step @p351 :rule alpha_equiv :args (@t403 (@list @t330) @t390)) % 15.44/15.83 (step @p352 :rule quant-unused-vars :args ((= @t404 @t403))) % 15.44/15.83 (step @p353 :rule trans :premises (@p352 @p351)) % 15.44/15.83 (step @p354 :rule quant-unused-vars :args ((= @t405 @t113))) % 15.44/15.83 (step @p355 :rule nary_cong :premises (@p354 @p353 @p350 @p349 @p346 @p345) :args (@t406)) % 15.44/15.83 (step @p356 :rule quant-miniscope-and :args ((= @t407 @t406))) % 15.44/15.83 (step @p357 :rule trans :premises (@p356 @p355)) % 15.44/15.83 (step @p358 :rule refl :args (@t371)) % 15.44/15.83 (step @p359 :rule nary_cong :premises (@p358 @p357 @p344) :args (@t408)) % 15.44/15.83 (step @p360 :rule quant-miniscope-or :args ((= @t386 @t408))) % 15.44/15.83 (step @p361 :rule trans :premises (@p360 @p359)) % 15.44/15.83 (step @p362 :rule symm :premises (@p361)) % 15.44/15.83 (step @p363 :rule cong :premises (@p362) :args ((forall @t8 @t412))) % 15.44/15.83 (step @p364 :rule trans :premises (@p363 @p333)) % 15.44/15.83 (step @p365 :rule trans :premises (@p364 @p332)) % 15.44/15.83 (step @p366 :rule aci_norm :args ((= (or (or @t371 @t411) @t410) @t412))) % 15.44/15.83 (step @p367 :rule refl :args (@t410)) % 15.44/15.83 (step @p368 :rule aci_norm :args ((= (and @t414 @t413) @t411))) % 15.44/15.83 (step @p369 :rule aci_norm :args ((= (and @t140 (and @t366 @t361)) @t413))) % 15.44/15.83 (step @p370 :rule refl :args (@t361)) % 15.44/15.83 (step @p371 :rule refl :args (@t362)) % 15.44/15.83 (step @p372 :rule bool-or-de-morgan :args (@t364 @t133 false)) % 15.44/15.83 (step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or (not @t415) @t362))) % 15.44/15.83 (step @p374 :rule bool-and-de-morgan :args (@t415 @t132 true)) % 15.44/15.83 (step @p375 :rule trans :premises (@p374 @p373)) % 15.44/15.83 (step @p376 :rule nary_cong :premises (@p375 @p370) :args ((and (not @t416) @t361))) % 15.44/15.83 (step @p377 :rule bool-or-de-morgan :args (@t416 @t131 false)) % 15.44/15.83 (step @p378 :rule trans :premises (@p377 @p376)) % 15.44/15.83 (step @p379 :rule refl :args (@t140)) % 15.44/15.83 (step @p380 :rule nary_cong :premises (@p379 @p378) :args ((and @t140 (not @t417)))) % 15.44/15.83 (step @p381 :rule trans :premises (@p380 @p369)) % 15.44/15.83 (step @p382 :rule bool-implies-de-morgan :args (@t140 @t417)) % 15.44/15.83 (step @p383 :rule trans :premises (@p382 @p381)) % 15.44/15.83 (step @p384 :rule refl :args (@t414)) % 15.44/15.83 (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((and @t414 (not @t418)))) % 15.44/15.83 (step @p386 :rule trans :premises (@p385 @p368)) % 15.44/15.83 (step @p387 :rule bool-implies-de-morgan :args (@t414 @t418)) % 15.44/15.83 (step @p388 :rule trans :premises (@p387 @p386)) % 15.44/15.83 (step @p389 :rule nary_cong :premises (@p358 @p388) :args ((or @t371 (not @t419)))) % 15.44/15.83 (step @p390 :rule bool-and-de-morgan :args (@t19 @t419 true)) % 15.44/15.83 (step @p391 :rule trans :premises (@p390 @p389)) % 15.44/15.83 (step @p392 :rule nary_cong :premises (@p391 @p367) :args ((or (not @t420) @t410))) % 15.44/15.83 (step @p393 :rule trans :premises (@p392 @p366)) % 15.44/15.83 (step @p394 :rule bool-impl-elim :args (@t420 @t410)) % 15.44/15.83 (step @p395 :rule trans :premises (@p394 @p393)) % 15.44/15.83 (step @p396 :rule cong :premises (@p395) :args ((forall @t8 (=> @t420 @t410)))) % 15.44/15.83 (step @p397 :rule trans :premises (@p396 @p365)) % 15.44/15.83 (step @p398 :rule refl :args (@t129)) % 15.44/15.83 (step @p399 :rule bool-impl-elim :args (@t121 @t122)) % 15.44/15.83 (step @p400 :rule cong :premises (@p399) :args (@t123)) % 15.44/15.83 (step @p401 :rule nary_cong :premises (@p256 @p400 @p398 @p309) :args (@t146)) % 15.44/15.83 (step @p402 :rule refl :args (@t131)) % 15.44/15.83 (step @p403 :rule refl :args (@t132)) % 15.44/15.83 (step @p404 :rule refl :args (@t133)) % 15.44/15.83 (step @p405 :rule bool-impl-elim :args (@t17 @t134)) % 15.44/15.83 (step @p406 :rule cong :premises (@p405) :args (@t135)) % 15.44/15.83 (step @p407 :rule nary_cong :premises (@p406 @p404) :args (@t136)) % 15.44/15.83 (step @p408 :rule nary_cong :premises (@p407 @p403) :args (@t137)) % 15.44/15.83 (step @p409 :rule nary_cong :premises (@p408 @p402) :args (@t138)) % 15.44/15.83 (step @p410 :rule refl :args (@t140)) % 15.44/15.83 (step @p411 :rule cong :premises (@p410 @p409) :args (@t141)) % 15.44/15.83 (step @p412 :rule nary_cong :premises (@p256 @p400) :args (@t124)) % 15.44/15.83 (step @p413 :rule cong :premises (@p412 @p411) :args (@t142)) % 15.44/15.83 (step @p414 :rule refl :args (@t19)) % 15.44/15.83 (step @p415 :rule nary_cong :premises (@p414 @p413) :args (@t143)) % 15.44/15.83 (step @p416 :rule cong :premises (@p415 @p401) :args (@t147)) % 15.44/15.83 (step @p417 :rule cong :premises (@p416) :args (@t148)) % 15.44/15.83 (step @p418 :rule trans :premises (@p417 @p397)) % 15.44/15.83 (step @p419 :rule eq-symm :args (@t149 @t130)) % 15.44/15.83 (step @p420 :rule refl :args (@t343)) % 15.44/15.83 (step @p421 :rule eq-symm :args (@t344 tptp.xk)) % 15.44/15.83 (step @p422 :rule cong :premises (@p421) :args (@t421)) % 15.44/15.83 (step @p423 :rule refl :args (@t345)) % 15.44/15.83 (step @p424 :rule nary_cong :premises (@p423 @p422 @p420) :args (@t422)) % 15.44/15.83 (step @p425 :rule cong :premises (@p424) :args (@t423)) % 15.44/15.83 (step @p426 :rule quant-merge-prenex :args ((= (forall @t426 @t425) @t356))) % 15.44/15.83 (step @p427 :rule quant-unused-vars :args ((= @t427 @t349))) % 15.44/15.83 (step @p428 :rule quant-unused-vars :args ((= @t428 @t350))) % 15.44/15.83 (step @p429 :rule alpha_equiv :args (@t429 (@list @t323) @t390)) % 15.44/15.83 (step @p430 :rule quant-unused-vars :args ((= @t430 @t352))) % 15.44/15.83 (step @p431 :rule nary_cong :premises (@p430 @p429 @p428 @p427) :args (@t431)) % 15.44/15.83 (step @p432 :rule quant-miniscope-and :args ((= @t432 @t431))) % 15.44/15.83 (step @p433 :rule trans :premises (@p432 @p431)) % 15.44/15.83 (step @p434 :rule refl :args (@t354)) % 15.44/15.83 (step @p435 :rule nary_cong :premises (@p434 @p433) :args (@t433)) % 15.44/15.83 (step @p436 :rule quant-miniscope-or :args ((= @t425 @t433))) % 15.44/15.83 (step @p437 :rule trans :premises (@p436 @p435)) % 15.44/15.83 (step @p438 :rule symm :premises (@p437)) % 15.44/15.83 (step @p439 :rule cong :premises (@p438) :args ((forall @t426 (or @t354 (and @t352 @t434 @t350 @t349))))) % 15.44/15.83 (step @p440 :rule trans :premises (@p439 @p426)) % 15.44/15.83 (step @p441 :rule eq-symm :args (@t348 tptp.xk)) % 15.44/15.83 (step @p442 :rule refl :args (@t350)) % 15.44/15.83 (step @p443 :rule refl :args (@t434)) % 15.44/15.83 (step @p444 :rule refl :args (@t352)) % 15.44/15.83 (step @p445 :rule nary_cong :premises (@p444 @p443 @p442 @p441) :args (@t435)) % 15.44/15.83 (step @p446 :rule refl :args (@t354)) % 15.44/15.83 (step @p447 :rule nary_cong :premises (@p446 @p445) :args (@t436)) % 15.44/15.83 (step @p448 :rule cong :premises (@p447) :args (@t437)) % 15.44/15.83 (step @p449 :rule trans :premises (@p448 @p440)) % 15.44/15.83 (step @p450 :rule nary_cong :premises (@p449 @p425) :args ((and @t437 @t423))) % 15.44/15.83 (step @p451 :rule alpha_equiv :args (@t440 @t223 @t320)) % 15.44/15.83 (step @p452 :rule alpha_equiv :args (@t443 @t223 (@list @t324))) % 15.44/15.83 (step @p453 :rule nary_cong :premises (@p452 @p451) :args (@t444)) % 15.44/15.83 (step @p454 :rule quant-miniscope-and :args ((= (forall @t8 (and @t442 @t439)) @t444))) % 15.44/15.83 (step @p455 :rule trans :premises (@p454 @p453)) % 15.44/15.83 (step @p456 :rule trans :premises (@p455 @p450)) % 15.44/15.83 (step @p457 :rule aci_norm :args ((= (or (or @t438 @t362) @t150) @t439))) % 15.44/15.83 (step @p458 :rule refl :args (@t150)) % 15.44/15.83 (step @p459 :rule refl :args (@t363)) % 15.44/15.83 (step @p460 :rule bool-and-de-morgan :args (@t19 @t364 true)) % 15.44/15.83 (step @p461 :rule nary_cong :premises (@p460 @p459) :args ((and (not @t445) @t363))) % 15.44/15.83 (step @p462 :rule bool-or-de-morgan :args (@t445 @t133 false)) % 15.44/15.83 (step @p463 :rule trans :premises (@p462 @p461)) % 15.44/15.83 (step @p464 :rule nary_cong :premises (@p463 @p371) :args ((or (not @t446) @t362))) % 15.44/15.83 (step @p465 :rule bool-and-de-morgan :args (@t446 @t132 true)) % 15.44/15.83 (step @p466 :rule trans :premises (@p465 @p464)) % 15.44/15.83 (step @p467 :rule nary_cong :premises (@p466 @p458) :args ((or (not @t447) @t150))) % 15.44/15.83 (step @p468 :rule trans :premises (@p467 @p457)) % 15.44/15.83 (step @p469 :rule bool-impl-elim :args (@t447 @t150)) % 15.44/15.83 (step @p470 :rule trans :premises (@p469 @p468)) % 15.44/15.83 (step @p471 :rule bool-impl-elim :args (@t150 @t441)) % 15.44/15.83 (step @p472 :rule nary_cong :premises (@p471 @p470) :args (@t448)) % 15.44/15.83 (step @p473 :rule cong :premises (@p472) :args ((forall @t8 @t448))) % 15.44/15.83 (step @p474 :rule trans :premises (@p473 @p456)) % 15.44/15.83 (step @p475 :rule refl :args (@t150)) % 15.44/15.83 (step @p476 :rule nary_cong :premises (@p414 @p406) :args (@t151)) % 15.44/15.83 (step @p477 :rule nary_cong :premises (@p476 @p404) :args (@t152)) % 15.44/15.83 (step @p478 :rule nary_cong :premises (@p477 @p403) :args (@t153)) % 15.44/15.83 (step @p479 :rule cong :premises (@p478 @p475) :args (@t154)) % 15.44/15.83 (step @p480 :rule nary_cong :premises (@p414 @p406 @p404 @p403) :args (@t155)) % 15.44/15.83 (step @p481 :rule cong :premises (@p475 @p480) :args (@t156)) % 15.44/15.83 (step @p482 :rule nary_cong :premises (@p481 @p479) :args (@t157)) % 15.44/15.83 (step @p483 :rule cong :premises (@p482) :args (@t158)) % 15.44/15.83 (step @p484 :rule trans :premises (@p483 @p474)) % 15.44/15.83 (step @p485 :rule refl :args (@t109)) % 15.44/15.83 (step @p486 :rule bool-impl-elim :args (@t108 @t111)) % 15.44/15.83 (step @p487 :rule cong :premises (@p486) :args (@t112)) % 15.44/15.83 (step @p488 :rule nary_cong :premises (@p269 @p256 @p487 @p254 @p485 @p484 @p419 @p418) :args (@t160)) % 15.44/15.83 (step @p489 :rule trans :premises (@p488 @p308)) % 15.44/15.83 (step @p490 :rule refl :args (@t44)) % 15.44/15.83 (step @p491 :rule cong :premises (@p490 @p489) :args (@t161)) % 15.44/15.83 (step @p492 :rule cong :premises (@p491) :args (@t162)) % 15.44/15.83 (step @p493 :rule trans :premises (@p492 @p307)) % 15.44/15.83 (step @p494 :rule trans :premises (@p493 @p244)) % 15.44/15.83 (step @p495 :rule and_elim :premises (@p85) :args (2)) % 15.44/15.83 (step @p496 :rule eq_resolve :premises (@p495 @p494)) % 15.44/15.83 (step @p497 :rule refl :args (@t457)) % 15.44/15.83 (step @p498 :rule refl :args (@t459)) % 15.44/15.83 (step @p499 :rule refl :args (@t461)) % 15.44/15.83 (step @p500 :rule refl :args (@t458)) % 15.44/15.83 (step @p501 :rule nary_cong :premises (@p500 @p192) :args (@t462)) % 15.44/15.83 (step @p502 :rule nary_cong :premises (@p195 @p501) :args (@t463)) % 15.44/15.83 (step @p503 :rule refl :args (@t464)) % 15.44/15.83 (step @p504 :rule cong :premises (@p503 @p502) :args (@t465)) % 15.44/15.83 (step @p505 :rule nary_cong :premises (@p104 @p199 @p504 @p499) :args (@t466)) % 15.44/15.83 (step @p506 :rule refl :args (@t467)) % 15.44/15.83 (step @p507 :rule refl :args (@t468)) % 15.44/15.83 (step @p508 :rule nary_cong :premises (@p104 @p199 @p102 @p198 @p507 @p506) :args (@t469)) % 15.44/15.83 (step @p509 :rule refl :args (@t456)) % 15.44/15.83 (step @p510 :rule nary_cong :premises (@p509 @p508 @p505) :args (@t470)) % 15.44/15.83 (step @p511 :rule eq-symm :args (@t174 @t165)) % 15.44/15.83 (step @p512 :rule refl :args (@t471)) % 15.44/15.83 (step @p513 :rule nary_cong :premises (@p512 @p104 @p199 @p102 @p198 @p511 @p510 @p498 @p497) :args (@t472)) % 15.44/15.83 (step @p514 :rule refl :args (@t474)) % 15.44/15.83 (step @p515 :rule nary_cong :premises (@p514 @p513) :args (@t475)) % 15.44/15.83 (step @p516 :rule refl :args (@t476)) % 15.44/15.83 (step @p517 :rule cong :premises (@p516 @p515) :args ((=> @t476 @t475))) % 15.44/15.83 (assume-push @p548 @t476) % 15.44/15.83 (step @p519 :rule instantiate :premises (@p496) :args ((@list tptp.xi tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00 tptp.sz00))) % 15.44/15.83 (step-pop @p549 :rule scope :premises (@p519)) % 15.44/15.83 (step @p520 :rule process_scope :premises (@p549) :args (@t475)) % 15.44/15.83 (step @p522 :rule eq_resolve :premises (@p520 @p517)) % 15.44/15.83 (step @p523 :rule implies_elim :premises (@p522)) % 15.44/15.83 (step @p524 :rule chain_m_resolution :premises (@p523 @p496) :args (@t479 @t267 (@list @t476))) % 15.44/15.83 (step @p525 :rule refl :args (tptp.xi)) % 15.44/15.83 (step @p526 :rule cong :premises (@p525 @p239) :args (@t163)) % 15.44/15.83 (step @p527 :rule eq_resolve :premises (@p86 @p526)) % 15.44/15.83 (step @p528 :rule cnf_or_pos :args (@t479)) % 15.44/15.83 (step @p529 :rule reordering :premises (@p528) :args ((or @t474 @t478 (not @t479)))) % 15.44/15.83 (step @p530 :rule chain_m_resolution :premises (@p529 @p527 @p524) :args (@t478 @t276 (@list @t473 @t479))) % 15.44/15.83 (step @p531 :rule cnf_and_pos :args (@t478 5)) % 15.44/15.83 (step @p532 :rule reordering :premises (@p531) :args ((or @t477 (not @t478)))) % 15.44/15.83 (step @p533 :rule chain_m_resolution :premises (@p532 @p530) :args (@t477 @t267 (@list @t478))) % 15.44/15.83 (step @p534 :rule refl :args (@t245)) % 15.44/15.83 (step @p535 :rule cong :premises (@p534 @p533) :args (@t271)) % 15.44/15.83 (step @p536 :rule bool-double-not-elim :args (@t271)) % 15.44/15.83 (step @p537 :rule nary_cong :premises (@p224 @p536) :args ((or @t273 (not @t272)))) % 15.44/15.83 (step @p538 :rule cnf_or_neg :args (@t273 0)) % 15.44/15.83 (step @p539 :rule eq_resolve :premises (@p538 @p537)) % 15.44/15.83 (step @p540 :rule reordering :premises (@p539) :args ((or @t271 @t273))) % 15.44/15.83 (step @p541 :rule chain_m_resolution :premises (@p540 @p222) :args (@t271 @t274 @t275)) % 15.44/15.83 (step @p542 :rule true_intro :premises (@p541)) % 15.44/15.83 (step @p543 :rule symm :premises (@p542)) % 15.44/15.83 (step @p544 :rule trans :premises (@p543 @p535 @p236)) % 15.44/15.83 (step @p545 false :rule eq_resolve :premises (@p544 @p90)) % 15.44/15.83 ) % 15.44/15.83 % SZS output end Proof % 15.44/15.83 % cvc5 exiting %------------------------------------------------------------------------------