%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM577+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 08:39:54 AM UTC 2026 % Result : Theorem 28.03s 28.20s % Output : Proof 28.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM577+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 11:31:38 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 28.03/28.20 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.03/28.20 --- Run --no-e-matching --full-saturate-quant at 6... % 28.03/28.20 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.03/28.20 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.03/28.20 % SZS status Theorem % 28.03/28.20 % SZS output start Proof % 28.03/28.20 ( % 28.03/28.20 (declare-sort $$unsorted 0) % 28.03/28.20 (declare-const tptp.xn $$unsorted) % 28.03/28.20 (declare-const tptp.xN $$unsorted) % 28.03/28.20 (declare-const tptp.sz00 $$unsorted) % 28.03/28.20 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 28.03/28.20 (declare-const tptp.szNzAzT0 $$unsorted) % 28.03/28.20 (declare-const tptp.xi $$unsorted) % 28.03/28.20 (declare-const tptp.xk $$unsorted) % 28.03/28.20 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 28.03/28.20 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 28.03/28.20 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 28.03/28.20 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 28.03/28.20 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 28.03/28.20 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 28.03/28.20 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 28.03/28.20 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 28.03/28.20 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.xK $$unsorted) % 28.03/28.20 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.xT $$unsorted) % 28.03/28.20 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.xS $$unsorted) % 28.03/28.20 (declare-const tptp.xj $$unsorted) % 28.03/28.20 (declare-const tptp.xc $$unsorted) % 28.03/28.20 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.xm $$unsorted) % 28.03/28.20 (declare-const tptp.slcrc0 $$unsorted) % 28.03/28.20 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 28.03/28.20 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 28.03/28.20 (define @t1 () (@var "W0" $$unsorted)) % 28.03/28.20 (define @t2 () (tptp.aSet0 @t1)) % 28.03/28.20 (define @t3 () (@list @t1)) % 28.03/28.20 (define @t4 () (tptp.aElement0 @t1)) % 28.03/28.20 (define @t5 () (@var "W1" $$unsorted)) % 28.03/28.20 (define @t6 () (tptp.aElement0 @t5)) % 28.03/28.20 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 28.03/28.20 (define @t8 () (@list @t5)) % 28.03/28.20 (define @t9 () (tptp.isFinite0 @t1)) % 28.03/28.20 (define @t10 () (= @t1 tptp.slcrc0)) % 28.03/28.20 (define @t11 () (tptp.isCountable0 @t1)) % 28.03/28.20 (define @t12 () (not @t9)) % 28.03/28.20 (define @t13 () (and @t2 @t11)) % 28.03/28.20 (define @t14 () (not @t10)) % 28.03/28.20 (define @t15 () (@var "W2" $$unsorted)) % 28.03/28.20 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 28.03/28.20 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 28.03/28.20 (define @t18 () (@list @t15)) % 28.03/28.20 (define @t19 () (tptp.aSet0 @t5)) % 28.03/28.20 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 28.03/28.20 (define @t21 () (tptp.isFinite0 @t5)) % 28.03/28.20 (define @t22 () (and @t2 @t9)) % 28.03/28.20 (define @t23 () (= @t1 @t5)) % 28.03/28.20 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 28.03/28.20 (define @t25 () (@list @t1 @t5)) % 28.03/28.20 (define @t26 () (tptp.aSubsetOf0 @t1 @t15)) % 28.03/28.20 (define @t27 () (tptp.aSubsetOf0 @t5 @t15)) % 28.03/28.20 (define @t28 () (and @t24 @t27)) % 28.03/28.20 (define @t29 () (=> @t28 @t26)) % 28.03/28.20 (define @t30 () (tptp.aSet0 @t15)) % 28.03/28.20 (define @t31 () (and @t2 @t19 @t30)) % 28.03/28.20 (define @t32 () (@list @t1 @t5 @t15)) % 28.03/28.20 (define @t33 () (forall @t32 (=> @t31 @t29))) % 28.03/28.20 (define @t34 () (@var "W3" $$unsorted)) % 28.03/28.20 (define @t35 () (= @t34 @t5)) % 28.03/28.20 (define @t36 () (tptp.aElementOf0 @t34 @t1)) % 28.03/28.20 (define @t37 () (tptp.aElement0 @t34)) % 28.03/28.20 (define @t38 () (tptp.aElementOf0 @t34 @t15)) % 28.03/28.20 (define @t39 () (@list @t34)) % 28.03/28.20 (define @t40 () (tptp.sdtpldt0 @t1 @t5)) % 28.03/28.20 (define @t41 () (and @t2 @t6)) % 28.03/28.20 (define @t42 () (tptp.sdtmndt0 @t1 @t5)) % 28.03/28.20 (define @t43 () (tptp.sdtpldt0 @t5 @t1)) % 28.03/28.20 (define @t44 () (tptp.isCountable0 @t5)) % 28.03/28.20 (define @t45 () (and @t19 @t44)) % 28.03/28.20 (define @t46 () (tptp.sdtmndt0 @t5 @t1)) % 28.03/28.20 (define @t47 () (and @t19 @t21)) % 28.03/28.20 (define @t48 () (tptp.szszuzczcdt0 @t1)) % 28.03/28.20 (define @t49 () (not (= @t48 tptp.sz00))) % 28.03/28.20 (define @t50 () (tptp.aElementOf0 @t48 tptp.szNzAzT0)) % 28.03/28.20 (define @t51 () (and @t50 @t49)) % 28.03/28.20 (define @t52 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 28.03/28.20 (define @t53 () (=> @t52 @t51)) % 28.03/28.20 (define @t54 () (forall @t3 @t53)) % 28.03/28.20 (define @t55 () (tptp.szszuzczcdt0 @t5)) % 28.03/28.20 (define @t56 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 28.03/28.20 (define @t57 () (and @t52 @t56)) % 28.03/28.20 (define @t58 () (= @t1 tptp.sz00)) % 28.03/28.20 (define @t59 () (tptp.sdtlseqdt0 @t1 @t5)) % 28.03/28.20 (define @t60 () (tptp.sdtlseqdt0 @t5 @t1)) % 28.03/28.20 (define @t61 () (tptp.sdtlseqdt0 @t5 @t15)) % 28.03/28.20 (define @t62 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 28.03/28.20 (define @t63 () (tptp.sbrdtbr0 @t1)) % 28.03/28.20 (define @t64 () (and @t2 @t56)) % 28.03/28.20 (define @t65 () (tptp.szmzizndt0 @t1)) % 28.03/28.20 (define @t66 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 28.03/28.20 (define @t67 () (tptp.szmzizndt0 @t5)) % 28.03/28.20 (define @t68 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 28.03/28.20 (define @t69 () (tptp.slbdtrb0 @t1)) % 28.03/28.20 (define @t70 () (tptp.slbdtrb0 @t5)) % 28.03/28.20 (define @t71 () (tptp.sbrdtbr0 @t34)) % 28.03/28.20 (define @t72 () (tptp.aSubsetOf0 @t34 @t1)) % 28.03/28.20 (define @t73 () (tptp.slbdtsldtrb0 @t1 @t5)) % 28.03/28.20 (define @t74 () (tptp.slbdtsldtrb0 @t5 @t1)) % 28.03/28.20 (define @t75 () (tptp.aFunction0 @t1)) % 28.03/28.20 (define @t76 () (tptp.szDzozmdt0 @t1)) % 28.03/28.20 (define @t77 () (tptp.sdtlpdtrp0 @t1 @t5)) % 28.03/28.20 (define @t78 () (tptp.aElementOf0 @t5 @t76)) % 28.03/28.20 (define @t79 () (tptp.sdtlpdtrp0 @t1 @t34)) % 28.03/28.20 (define @t80 () (tptp.aElementOf0 @t34 @t76)) % 28.03/28.20 (define @t81 () (tptp.sdtlbdtrb0 @t1 @t5)) % 28.03/28.20 (define @t82 () (and @t75 @t6)) % 28.03/28.20 (define @t83 () (@var "W4" $$unsorted)) % 28.03/28.20 (define @t84 () (tptp.aElementOf0 @t83 @t5)) % 28.03/28.20 (define @t85 () (@list @t83)) % 28.03/28.20 (define @t86 () (tptp.sdtlcdtrc0 @t1 @t5)) % 28.03/28.20 (define @t87 () (tptp.aSubsetOf0 @t5 @t76)) % 28.03/28.20 (define @t88 () (tptp.sdtlcdtrc0 @t1 @t76)) % 28.03/28.20 (define @t89 () (tptp.szDzozmdt0 @t15)) % 28.03/28.20 (define @t90 () (tptp.aFunction0 @t15)) % 28.03/28.20 (define @t91 () (tptp.szDzizrdt0 @t1)) % 28.03/28.20 (define @t92 () (tptp.szDzozmdt0 tptp.xc)) % 28.03/28.20 (define @t93 () (tptp.sdtlcdtrc0 tptp.xc @t92)) % 28.03/28.20 (define @t94 () (tptp.aElementOf0 @t1 @t93)) % 28.03/28.20 (define @t95 () (tptp.aElementOf0 @t1 @t92)) % 28.03/28.20 (define @t96 () (= @t63 tptp.xK)) % 28.03/28.20 (define @t97 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 28.03/28.20 (define @t98 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 28.03/28.20 (define @t99 () (@var "W5" $$unsorted)) % 28.03/28.20 (define @t100 () (@var "W6" $$unsorted)) % 28.03/28.20 (define @t101 () (@list @t99)) % 28.03/28.20 (define @t102 () (tptp.aElementOf0 @t34 tptp.xT)) % 28.03/28.20 (define @t103 () (tptp.sdtlcdtrc0 @t15 @t89)) % 28.03/28.20 (define @t104 () (tptp.aElementOf0 @t34 @t103)) % 28.03/28.20 (define @t105 () (tptp.aElementOf0 @t34 @t89)) % 28.03/28.20 (define @t106 () (= @t71 @t1)) % 28.03/28.20 (define @t107 () (tptp.aSubsetOf0 @t34 @t5)) % 28.03/28.20 (define @t108 () (forall @t85 (=> (tptp.aElementOf0 @t83 @t34) @t84))) % 28.03/28.20 (define @t109 () (tptp.aSet0 @t34)) % 28.03/28.20 (define @t110 () (tptp.sdtlpdtrp0 tptp.xN @t48)) % 28.03/28.20 (define @t111 () (tptp.isCountable0 @t110)) % 28.03/28.20 (define @t112 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 28.03/28.20 (define @t113 () (tptp.szmzizndt0 @t112)) % 28.03/28.20 (define @t114 () (tptp.sdtmndt0 @t112 @t113)) % 28.03/28.20 (define @t115 () (tptp.aSubsetOf0 @t110 @t114)) % 28.03/28.20 (define @t116 () (tptp.aElementOf0 @t5 @t114)) % 28.03/28.20 (define @t117 () (tptp.aElementOf0 @t5 @t110)) % 28.03/28.20 (define @t118 () (forall @t8 (=> @t117 @t116))) % 28.03/28.20 (define @t119 () (tptp.aSet0 @t110)) % 28.03/28.20 (define @t120 () (tptp.aElementOf0 @t5 @t112)) % 28.03/28.20 (define @t121 () (forall @t8 (= @t116 (and @t6 @t120 (not (= @t5 @t113)))))) % 28.03/28.20 (define @t122 () (tptp.aSet0 @t114)) % 28.03/28.20 (define @t123 () (tptp.sdtlseqdt0 @t113 @t5)) % 28.03/28.20 (define @t124 () (forall @t8 (=> @t120 @t123))) % 28.03/28.20 (define @t125 () (tptp.aElementOf0 @t113 @t112)) % 28.03/28.20 (define @t126 () (and @t125 @t124 @t122 @t121 @t119 @t118 @t115 @t111)) % 28.03/28.20 (define @t127 () (tptp.isCountable0 @t112)) % 28.03/28.20 (define @t128 () (tptp.aSubsetOf0 @t112 tptp.szNzAzT0)) % 28.03/28.20 (define @t129 () (forall @t8 (=> @t120 @t56))) % 28.03/28.20 (define @t130 () (tptp.aSet0 @t112)) % 28.03/28.20 (define @t131 () (and @t130 @t129)) % 28.03/28.20 (define @t132 () (or @t131 @t128)) % 28.03/28.20 (define @t133 () (and @t132 @t127)) % 28.03/28.20 (define @t134 () (=> @t133 @t126)) % 28.03/28.20 (define @t135 () (=> @t52 @t134)) % 28.03/28.20 (define @t136 () (forall @t3 @t135)) % 28.03/28.20 (define @t137 () (tptp.szDzozmdt0 tptp.xN)) % 28.03/28.20 (define @t138 () (and @t130 @t129 @t128 @t127)) % 28.03/28.20 (define @t139 () (=> @t52 @t138)) % 28.03/28.20 (define @t140 () (forall @t3 @t139)) % 28.03/28.20 (define @t141 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 28.03/28.20 (define @t142 () (tptp.aSubsetOf0 @t112 @t141)) % 28.03/28.20 (define @t143 () (tptp.aElementOf0 @t15 @t141)) % 28.03/28.20 (define @t144 () (tptp.aElementOf0 @t15 @t112)) % 28.03/28.20 (define @t145 () (forall @t18 (=> @t144 @t143))) % 28.03/28.20 (define @t146 () (and @t145 @t142)) % 28.03/28.20 (define @t147 () (=> @t60 @t146)) % 28.03/28.20 (define @t148 () (=> @t57 @t147)) % 28.03/28.20 (define @t149 () (forall @t25 @t148)) % 28.03/28.20 (define @t150 () (tptp.aElementOf0 tptp.xm tptp.szNzAzT0)) % 28.03/28.20 (define @t151 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0)) % 28.03/28.20 (define @t152 () (tptp.sdtlpdtrp0 tptp.xN tptp.xn)) % 28.03/28.20 (define @t153 () (tptp.szmzizndt0 @t152)) % 28.03/28.20 (define @t154 () (tptp.sdtlpdtrp0 tptp.xN tptp.xm)) % 28.03/28.20 (define @t155 () (tptp.szmzizndt0 @t154)) % 28.03/28.20 (define @t156 () (tptp.sdtlseqdt0 @t155 @t1)) % 28.03/28.20 (define @t157 () (tptp.aElementOf0 @t1 @t152)) % 28.03/28.20 (define @t158 () (forall @t3 (=> @t157 @t156))) % 28.03/28.20 (define @t159 () (tptp.aElementOf0 @t155 @t152)) % 28.03/28.20 (define @t160 () (tptp.aElementOf0 @t1 @t154)) % 28.03/28.20 (define @t161 () (forall @t3 (=> @t160 @t156))) % 28.03/28.20 (define @t162 () (tptp.aElementOf0 @t155 @t154)) % 28.03/28.20 (define @t163 () (and @t162 @t161 @t159 @t158 (= @t155 @t153))) % 28.03/28.20 (define @t164 () (not @t163)) % 28.03/28.20 (define @t165 () (tptp.sdtmndt0 @t152 @t153)) % 28.03/28.20 (define @t166 () (tptp.aSubsetOf0 @t154 @t165)) % 28.03/28.20 (define @t167 () (tptp.aElementOf0 @t1 @t165)) % 28.03/28.20 (define @t168 () (forall @t3 (=> @t160 @t167))) % 28.03/28.20 (define @t169 () (or @t168 @t166)) % 28.03/28.20 (define @t170 () (tptp.aSet0 @t165)) % 28.03/28.20 (define @t171 () (and @t170 (forall @t3 (= @t167 (and @t4 @t157 (not (= @t1 @t153))))))) % 28.03/28.20 (define @t172 () (=> @t171 @t169)) % 28.03/28.20 (define @t173 () (tptp.sdtlseqdt0 @t153 @t1)) % 28.03/28.20 (define @t174 () (forall @t3 (=> @t157 @t173))) % 28.03/28.20 (define @t175 () (tptp.aElementOf0 @t153 @t152)) % 28.03/28.20 (define @t176 () (and @t175 @t174)) % 28.03/28.20 (define @t177 () (=> @t176 @t172)) % 28.03/28.20 (define @t178 () (and @t177 @t164)) % 28.03/28.20 (define @t179 () (tptp.szszuzczcdt0 tptp.xn)) % 28.03/28.20 (define @t180 () (tptp.sdtlseqdt0 @t179 tptp.xm)) % 28.03/28.20 (define @t181 () (=> @t180 @t178)) % 28.03/28.20 (define @t182 () (not @t181)) % 28.03/28.20 (define @t183 () (@var "BOUND_VARIABLE_9874" $$unsorted)) % 28.03/28.20 (define @t184 () (or (not (tptp.aElementOf0 @t183 @t112)) (tptp.aElementOf0 @t183 @t141))) % 28.03/28.20 (define @t185 () (and @t184 @t142)) % 28.03/28.20 (define @t186 () (not @t60)) % 28.03/28.20 (define @t187 () (not @t56)) % 28.03/28.20 (define @t188 () (not @t52)) % 28.03/28.20 (define @t189 () (or @t188 @t187 @t186 @t185)) % 28.03/28.20 (define @t190 () (forall (@list @t1 @t5 @t183) @t189)) % 28.03/28.20 (define @t191 () (@list @t183)) % 28.03/28.20 (define @t192 () (forall @t191 @t189)) % 28.03/28.20 (define @t193 () (forall @t191 @t142)) % 28.03/28.20 (define @t194 () (forall @t191 @t184)) % 28.03/28.20 (define @t195 () (and @t194 @t193)) % 28.03/28.20 (define @t196 () (forall @t191 @t185)) % 28.03/28.20 (define @t197 () (or @t188 @t187 @t186 @t196)) % 28.03/28.20 (define @t198 () (and (forall @t18 (or (not @t144) @t143)) @t142)) % 28.03/28.20 (define @t199 () (or @t188 @t187 @t186 @t198)) % 28.03/28.20 (define @t200 () (=> @t60 @t198)) % 28.03/28.20 (define @t201 () (not (= tptp.sz00 @t48))) % 28.03/28.20 (define @t202 () (and @t50 @t201)) % 28.03/28.20 (define @t203 () (or @t188 @t202)) % 28.03/28.20 (define @t204 () (tptp.aElementOf0 @t179 @t137)) % 28.03/28.20 (define @t205 () (and @t204 (not (= tptp.sz00 @t179)))) % 28.03/28.20 (define @t206 () (tptp.aElementOf0 tptp.xn @t137)) % 28.03/28.20 (define @t207 () (not @t206)) % 28.03/28.20 (define @t208 () (or @t207 @t205)) % 28.03/28.20 (define @t209 () (@list false false)) % 28.03/28.20 (define @t210 () (@list false)) % 28.03/28.20 (define @t211 () (tptp.sdtlpdtrp0 tptp.xN @t179)) % 28.03/28.20 (define @t212 () (tptp.aSubsetOf0 @t154 @t211)) % 28.03/28.20 (define @t213 () (tptp.aElementOf0 @t153 @t211)) % 28.03/28.20 (define @t214 () (not (tptp.aElementOf0 @t153 @t154))) % 28.03/28.20 (define @t215 () (or @t214 @t213)) % 28.03/28.20 (define @t216 () (and @t215 @t212)) % 28.03/28.20 (define @t217 () (not @t180)) % 28.03/28.20 (define @t218 () (not @t204)) % 28.03/28.20 (define @t219 () (tptp.aElementOf0 tptp.xm @t137)) % 28.03/28.20 (define @t220 () (not @t219)) % 28.03/28.20 (define @t221 () (or @t220 @t218 @t217 @t216)) % 28.03/28.20 (define @t222 () (@list false false false false)) % 28.03/28.20 (define @t223 () (@var "BOUND_VARIABLE_9830" $$unsorted)) % 28.03/28.20 (define @t224 () (or (not (tptp.aElementOf0 @t223 @t110)) (tptp.aElementOf0 @t223 @t114))) % 28.03/28.20 (define @t225 () (@var "BOUND_VARIABLE_9821" $$unsorted)) % 28.03/28.20 (define @t226 () (tptp.aElementOf0 @t225 @t112)) % 28.03/28.20 (define @t227 () (tptp.aElement0 @t225)) % 28.03/28.20 (define @t228 () (tptp.aElementOf0 @t225 @t114)) % 28.03/28.20 (define @t229 () (@var "BOUND_VARIABLE_9815" $$unsorted)) % 28.03/28.20 (define @t230 () (or (not (tptp.aElementOf0 @t229 @t112)) (tptp.sdtlseqdt0 @t113 @t229))) % 28.03/28.20 (define @t231 () (and @t125 @t230 @t122 (= @t228 (and @t227 @t226 (not (= @t113 @t225)))) @t119 @t224 @t115 @t111)) % 28.03/28.20 (define @t232 () (not @t127)) % 28.03/28.20 (define @t233 () (not @t128)) % 28.03/28.20 (define @t234 () (not @t120)) % 28.03/28.20 (define @t235 () (or @t234 @t56)) % 28.03/28.20 (define @t236 () (forall @t8 @t235)) % 28.03/28.20 (define @t237 () (not @t236)) % 28.03/28.20 (define @t238 () (not @t130)) % 28.03/28.20 (define @t239 () (or @t238 @t237)) % 28.03/28.20 (define @t240 () (and @t239 @t233)) % 28.03/28.20 (define @t241 () (or @t188 @t240 @t232 @t231)) % 28.03/28.20 (define @t242 () (@list @t1 @t229 @t225 @t223)) % 28.03/28.20 (define @t243 () (not (= @t225 @t113))) % 28.03/28.20 (define @t244 () (and @t227 @t226 @t243)) % 28.03/28.20 (define @t245 () (= @t228 @t244)) % 28.03/28.20 (define @t246 () (and @t125 @t230 @t122 @t245 @t119 @t224 @t115 @t111)) % 28.03/28.20 (define @t247 () (or @t188 @t240 @t232 @t246)) % 28.03/28.20 (define @t248 () (forall @t242 @t247)) % 28.03/28.20 (define @t249 () (@list @t229 @t225 @t223)) % 28.03/28.20 (define @t250 () (forall @t249 @t247)) % 28.03/28.20 (define @t251 () (forall @t249 @t111)) % 28.03/28.20 (define @t252 () (forall @t249 @t115)) % 28.03/28.20 (define @t253 () (forall (@list @t223) @t224)) % 28.03/28.20 (define @t254 () (@list @t5)) % 28.03/28.20 (define @t255 () (forall @t249 @t224)) % 28.03/28.20 (define @t256 () (forall @t249 @t119)) % 28.03/28.20 (define @t257 () (forall (@list @t225) @t245)) % 28.03/28.20 (define @t258 () (forall @t249 @t245)) % 28.03/28.20 (define @t259 () (forall @t249 @t122)) % 28.03/28.20 (define @t260 () (forall (@list @t229) @t230)) % 28.03/28.20 (define @t261 () (forall @t249 @t230)) % 28.03/28.20 (define @t262 () (forall @t249 @t125)) % 28.03/28.20 (define @t263 () (and @t262 @t261 @t259 @t258 @t256 @t255 @t252 @t251)) % 28.03/28.20 (define @t264 () (forall @t249 @t246)) % 28.03/28.20 (define @t265 () (or @t188 @t240 @t232 @t264)) % 28.03/28.20 (define @t266 () (and @t125 (forall @t8 (or @t234 @t123)) @t122 @t121 @t119 (forall @t8 (or (not @t117) @t116)) @t115 @t111)) % 28.03/28.20 (define @t267 () (or @t188 @t240 @t232 @t266)) % 28.03/28.20 (define @t268 () (or @t240 @t232 @t266)) % 28.03/28.20 (define @t269 () (and @t130 @t236)) % 28.03/28.20 (define @t270 () (or @t269 @t128)) % 28.03/28.20 (define @t271 () (and @t270 @t127)) % 28.03/28.20 (define @t272 () (=> @t271 @t266)) % 28.03/28.20 (define @t273 () (tptp.isCountable0 @t211)) % 28.03/28.20 (define @t274 () (tptp.aSubsetOf0 @t211 @t165)) % 28.03/28.20 (define @t275 () (tptp.aElementOf0 @t153 @t165)) % 28.03/28.20 (define @t276 () (not @t213)) % 28.03/28.20 (define @t277 () (or @t276 @t275)) % 28.03/28.20 (define @t278 () (tptp.aSet0 @t211)) % 28.03/28.20 (define @t279 () (not (= @t153 tptp.sz00))) % 28.03/28.20 (define @t280 () (tptp.aElementOf0 tptp.sz00 @t152)) % 28.03/28.20 (define @t281 () (tptp.aElement0 tptp.sz00)) % 28.03/28.20 (define @t282 () (and @t281 @t280 @t279)) % 28.03/28.20 (define @t283 () (tptp.aElementOf0 tptp.sz00 @t165)) % 28.03/28.20 (define @t284 () (= @t283 @t282)) % 28.03/28.20 (define @t285 () (not @t280)) % 28.03/28.20 (define @t286 () (or @t285 (tptp.sdtlseqdt0 @t153 tptp.sz00))) % 28.03/28.20 (define @t287 () (and @t175 @t286 @t170 @t284 @t278 @t277 @t274 @t273)) % 28.03/28.20 (define @t288 () (tptp.isCountable0 @t152)) % 28.03/28.20 (define @t289 () (not @t288)) % 28.03/28.20 (define @t290 () (tptp.aSubsetOf0 @t152 @t137)) % 28.03/28.20 (define @t291 () (not @t290)) % 28.03/28.20 (define @t292 () (tptp.aElementOf0 @t5 @t137)) % 28.03/28.20 (define @t293 () (tptp.aSet0 @t152)) % 28.03/28.20 (define @t294 () (and (or (not @t293) (not (forall @t8 (or (not (tptp.aElementOf0 @t5 @t152)) @t292)))) @t291)) % 28.03/28.20 (define @t295 () (or @t207 @t294 @t289 @t287)) % 28.03/28.20 (define @t296 () (forall @t242 (or (not (tptp.aElementOf0 @t1 @t137)) (and (or @t238 (not (forall @t8 (or @t234 @t292)))) (not (tptp.aSubsetOf0 @t112 @t137))) @t232 @t231))) % 28.03/28.20 (define @t297 () (= @t283 (and @t281 @t280 (not (= tptp.sz00 @t153))))) % 28.03/28.20 (define @t298 () (and @t175 @t286 @t170 @t297 @t278 @t277 @t274 @t273)) % 28.03/28.20 (define @t299 () (or @t207 @t294 @t289 @t298)) % 28.03/28.20 (define @t300 () (@list @t296)) % 28.03/28.20 (define @t301 () (@var "BOUND_VARIABLE_9853" $$unsorted)) % 28.03/28.20 (define @t302 () (tptp.aElementOf0 @t301 tptp.szNzAzT0)) % 28.03/28.20 (define @t303 () (not (tptp.aElementOf0 @t301 @t112))) % 28.03/28.20 (define @t304 () (or @t303 @t302)) % 28.03/28.20 (define @t305 () (and @t130 @t304 @t128 @t127)) % 28.03/28.20 (define @t306 () (or @t188 @t305)) % 28.03/28.20 (define @t307 () (forall (@list @t1 @t301) @t306)) % 28.03/28.20 (define @t308 () (@list @t301)) % 28.03/28.20 (define @t309 () (forall @t308 @t306)) % 28.03/28.20 (define @t310 () (forall @t308 @t127)) % 28.03/28.20 (define @t311 () (forall @t308 @t128)) % 28.03/28.20 (define @t312 () (forall @t308 @t304)) % 28.03/28.20 (define @t313 () (forall @t308 @t130)) % 28.03/28.20 (define @t314 () (and @t313 @t312 @t311 @t310)) % 28.03/28.20 (define @t315 () (forall @t308 @t305)) % 28.03/28.20 (define @t316 () (or @t188 @t315)) % 28.03/28.20 (define @t317 () (and @t130 @t236 @t128 @t127)) % 28.03/28.20 (define @t318 () (tptp.aElementOf0 tptp.sz00 @t137)) % 28.03/28.20 (define @t319 () (and @t293 (or @t285 @t318) @t290 @t288)) % 28.03/28.20 (define @t320 () (or @t207 @t319)) % 28.03/28.20 (define @t321 () (not @t319)) % 28.03/28.20 (define @t322 () (@list @t319)) % 28.03/28.20 (define @t323 () (not @t294)) % 28.03/28.20 (define @t324 () (@list false false true false)) % 28.03/28.20 (define @t325 () (tptp.aElementOf0 tptp.sz00 @t211)) % 28.03/28.20 (define @t326 () (or (not @t325) @t283)) % 28.03/28.20 (define @t327 () (tptp.aElement0 @t153)) % 28.03/28.20 (define @t328 () (not (= @t153 @t153))) % 28.03/28.20 (define @t329 () (and @t327 @t175 @t328)) % 28.03/28.20 (define @t330 () (= @t275 @t329)) % 28.03/28.20 (define @t331 () (and @t175 @t286 @t170 @t330 @t278 @t326 @t274 @t273)) % 28.03/28.20 (define @t332 () (or @t207 @t294 @t289 @t331)) % 28.03/28.20 (define @t333 () (not @t275)) % 28.03/28.20 (define @t334 () (and @t175 @t286 @t170 @t333 @t278 @t326 @t274 @t273)) % 28.03/28.20 (define @t335 () (or @t207 @t294 @t289 @t334)) % 28.03/28.20 (define @t336 () (@list true false)) % 28.03/28.20 (define @t337 () (not @t27)) % 28.03/28.20 (define @t338 () (not @t24)) % 28.03/28.20 (define @t339 () (not @t30)) % 28.03/28.20 (define @t340 () (not @t19)) % 28.03/28.20 (define @t341 () (not @t2)) % 28.03/28.20 (define @t342 () (or @t338 @t337 @t26)) % 28.03/28.20 (define @t343 () (or @t341 @t340 @t339)) % 28.03/28.20 (define @t344 () (not (tptp.aElementOf0 tptp.sz00 @t154))) % 28.03/28.20 (define @t345 () (and (or @t344 @t325) @t212)) % 28.03/28.20 (define @t346 () (or @t220 @t218 @t217 @t345)) % 28.03/28.20 (define @t347 () (tptp.aSet0 @t154)) % 28.03/28.20 (define @t348 () (and @t347 (or @t344 @t318) (tptp.aSubsetOf0 @t154 @t137) (tptp.isCountable0 @t154))) % 28.03/28.20 (define @t349 () (or @t220 @t348)) % 28.03/28.20 (define @t350 () (and @t175 @t286 @t170 @t284 @t278 @t326 @t274 @t273)) % 28.03/28.20 (define @t351 () (or @t207 @t294 @t289 @t350)) % 28.03/28.20 (define @t352 () (and @t175 @t286 @t170 @t297 @t278 @t326 @t274 @t273)) % 28.03/28.20 (define @t353 () (or @t207 @t294 @t289 @t352)) % 28.03/28.20 (define @t354 () (not @t352)) % 28.03/28.20 (define @t355 () (@list @t352)) % 28.03/28.20 (define @t356 () (not @t274)) % 28.03/28.20 (define @t357 () (not @t212)) % 28.03/28.20 (define @t358 () (not @t170)) % 28.03/28.20 (define @t359 () (not @t278)) % 28.03/28.20 (define @t360 () (not @t347)) % 28.03/28.20 (define @t361 () (or @t360 @t359 @t358 @t357 @t356 @t166)) % 28.03/28.20 (define @t362 () (not @t160)) % 28.03/28.20 (define @t363 () (or (forall @t3 (or @t362 @t167)) @t166)) % 28.03/28.20 (define @t364 () (=> @t171 @t363)) % 28.03/28.20 (define @t365 () (not @t157)) % 28.03/28.20 (define @t366 () (=> (and @t175 (forall @t3 (or @t365 @t173))) @t364)) % 28.03/28.20 (define @t367 () (= @t153 @t155)) % 28.03/28.20 (define @t368 () (and @t162 (forall @t3 (or @t362 @t156)) @t159 (forall @t3 (or @t365 @t156)) @t367)) % 28.03/28.20 (define @t369 () (not @t366)) % 28.03/28.20 (define @t370 () (not @t368)) % 28.03/28.20 (define @t371 () (@list @t368)) % 28.03/28.20 (assume @p1 (forall @t3 (=> @t2 true))) % 28.03/28.20 (assume @p2 (forall @t3 (=> @t4 true))) % 28.03/28.20 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 28.03/28.20 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 28.03/28.20 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 28.03/28.20 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 28.03/28.20 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 28.03/28.20 (assume @p8 (forall @t3 (=> @t13 @t12))) % 28.03/28.20 (assume @p9 (forall @t3 (=> @t13 @t14))) % 28.03/28.20 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 28.03/28.20 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 28.03/28.20 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 28.03/28.20 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 28.03/28.20 (assume @p14 @t33) % 28.03/28.20 (assume @p15 (forall @t25 (=> @t41 (forall @t18 (= (= @t15 @t40) (and @t30 (forall @t39 (= @t38 (and @t37 (or @t36 @t35)))))))))) % 28.03/28.20 (assume @p16 (forall @t25 (=> @t41 (forall @t18 (= (= @t15 @t42) (and @t30 (forall @t39 (= @t38 (and @t37 @t36 (not @t35)))))))))) % 28.03/28.20 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t42 @t5) @t1)))))) % 28.03/28.20 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t43 @t1) @t5))))) % 28.03/28.20 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isCountable0 @t43)))))) % 28.03/28.20 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isCountable0 @t46)))))) % 28.03/28.20 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t47 (tptp.isFinite0 @t43)))))) % 28.03/28.20 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t47 (tptp.isFinite0 @t46)))))) % 28.03/28.20 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 28.03/28.20 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 28.03/28.20 (assume @p25 @t54) % 28.03/28.20 (assume @p26 (forall @t25 (=> @t57 (=> (= @t48 @t55) @t23)))) % 28.03/28.20 (assume @p27 (forall @t3 (=> @t52 (or @t58 (exists @t8 (and @t56 (= @t1 @t55))))))) % 28.03/28.20 (assume @p28 (forall @t3 (=> @t52 (not (= @t1 @t48))))) % 28.03/28.20 (assume @p29 (forall @t25 (=> @t57 (=> @t59 true)))) % 28.03/28.20 (assume @p30 (forall @t3 (=> @t52 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 28.03/28.20 (assume @p31 (forall @t3 (=> @t52 (not (tptp.sdtlseqdt0 @t48 tptp.sz00))))) % 28.03/28.20 (assume @p32 (forall @t25 (=> @t57 (= @t59 (tptp.sdtlseqdt0 @t48 @t55))))) % 28.03/28.20 (assume @p33 (forall @t3 (=> @t52 (tptp.sdtlseqdt0 @t1 @t48)))) % 28.03/28.20 (assume @p34 (forall @t3 (=> @t52 (tptp.sdtlseqdt0 @t1 @t1)))) % 28.03/28.20 (assume @p35 (forall @t25 (=> @t57 (=> (and @t59 @t60) @t23)))) % 28.03/28.20 (assume @p36 (forall @t32 (=> (and @t52 @t56 @t62) (=> (and @t59 @t61) (tptp.sdtlseqdt0 @t1 @t15))))) % 28.03/28.20 (assume @p37 (forall @t25 (=> @t57 (or @t59 (tptp.sdtlseqdt0 @t55 @t1))))) % 28.03/28.20 (assume @p38 (forall @t25 (=> @t57 (=> (tptp.iLess0 @t1 @t5) true)))) % 28.03/28.20 (assume @p39 (forall @t3 (=> @t52 (tptp.iLess0 @t1 @t48)))) % 28.03/28.20 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t63)))) % 28.03/28.20 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t63 tptp.szNzAzT0) @t9)))) % 28.03/28.20 (assume @p42 (forall @t3 (=> @t2 (= (= @t63 tptp.sz00) @t10)))) % 28.03/28.20 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t40) (tptp.szszuzczcdt0 @t63)))))))) % 28.03/28.20 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t42)) @t63)))))) % 28.03/28.20 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t63)))))) % 28.03/28.20 (assume @p46 (forall @t25 (=> @t64 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t63)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 28.03/28.20 (assume @p47 (forall @t3 (=> (and @t66 @t14) (forall @t8 (= (= @t5 @t65) (and @t7 (forall @t18 (=> @t16 @t61)))))))) % 28.03/28.20 (assume @p48 (forall @t3 (=> (and @t66 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 28.03/28.20 (assume @p49 (forall @t25 (=> (and @t66 @t68 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t65 @t5) (tptp.aElementOf0 @t67 @t1)) (= @t65 @t67))))) % 28.03/28.20 (assume @p50 (forall @t3 (=> @t52 (forall @t8 (= (= @t5 @t69) (and @t19 (forall @t18 (= @t17 (and @t62 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 28.03/28.20 (assume @p51 (forall @t3 (=> @t52 (tptp.isFinite0 @t69)))) % 28.03/28.20 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 28.03/28.20 (assume @p53 (forall @t25 (=> @t57 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t55)) (or (tptp.aElementOf0 @t1 @t70) @t23))))) % 28.03/28.20 (assume @p54 (forall @t25 (=> @t57 (= @t59 (tptp.aSubsetOf0 @t69 @t70))))) % 28.03/28.20 (assume @p55 (forall @t3 (=> (and @t66 @t9) (exists @t8 (and @t56 (tptp.aSubsetOf0 @t1 @t70)))))) % 28.03/28.20 (assume @p56 (forall @t3 (=> @t52 (= (tptp.sbrdtbr0 @t69) @t1)))) % 28.03/28.20 (assume @p57 (forall @t25 (=> @t64 (forall @t18 (= (= @t15 @t73) (and @t30 (forall @t39 (= @t38 (and @t72 (= @t71 @t5)))))))))) % 28.03/28.20 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t56 (tptp.isFinite0 @t73)))))) % 28.03/28.20 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t56 (not (= @t73 tptp.slcrc0))))))) % 28.03/28.20 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t56 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t73)))))) % 28.03/28.20 (assume @p61 (forall @t3 (=> @t52 (forall (@list @t5 @t15) (=> (and @t19 @t30 (not @t58)) (=> (and (tptp.aSubsetOf0 @t74 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t74 tptp.slcrc0))) @t27)))))) % 28.03/28.20 (assume @p62 (forall @t25 (=> @t64 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t73) (tptp.isFinite0 @t15)) (exists @t39 (and @t72 (tptp.isFinite0 @t34) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t34 @t5))))))))) % 28.03/28.20 (assume @p63 (forall @t3 (=> @t75 true))) % 28.03/28.20 (assume @p64 (forall @t3 (=> @t75 (tptp.aSet0 @t76)))) % 28.03/28.20 (assume @p65 (forall @t3 (=> @t75 (forall @t8 (=> @t78 (tptp.aElement0 @t77)))))) % 28.03/28.20 (assume @p66 (forall @t25 (=> @t82 (forall @t18 (= (= @t15 @t81) (and @t30 (forall @t39 (= @t38 (and @t80 (= @t79 @t5)))))))))) % 28.03/28.20 (assume @p67 (forall @t25 (=> @t82 (tptp.aSubsetOf0 @t81 @t76)))) % 28.03/28.20 (assume @p68 (forall @t3 (=> @t75 (forall @t8 (=> @t87 (forall @t18 (= (= @t15 @t86) (and @t30 (forall @t39 (= @t38 (exists @t85 (and @t84 (= (tptp.sdtlpdtrp0 @t1 @t83) @t34))))))))))))) % 28.03/28.20 (assume @p69 (forall @t3 (=> @t75 (forall @t8 (=> @t78 (tptp.aElementOf0 @t77 @t88)))))) % 28.03/28.20 (assume @p70 (forall @t3 (=> @t75 (forall @t8 (=> @t87 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t90 (= @t89 @t5) (forall @t39 (=> (tptp.aElementOf0 @t34 @t5) (= (tptp.sdtlpdtrp0 @t15 @t34) @t79))))))))))) % 28.03/28.20 (assume @p71 (forall @t3 (=> @t75 (forall @t8 (=> (and @t87 @t44) (=> (forall (@list @t15 @t34) (=> (and (tptp.aElementOf0 @t15 @t76) @t80 (not (= @t15 @t34))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t79)))) (tptp.isCountable0 @t86))))))) % 28.03/28.20 (assume @p72 (forall @t3 (=> @t75 (=> (and (tptp.isCountable0 @t76) (tptp.isFinite0 @t88)) (and (tptp.aElement0 @t91) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t91))))))) % 28.03/28.20 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 28.03/28.20 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 28.03/28.20 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xS) @t52)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 28.03/28.20 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t95 (and @t2 @t98 @t97 @t96)) (=> (and (or (and @t2 @t98) @t97) @t96) @t95))) (= @t92 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSet0 @t93) (forall @t3 (= @t94 (exists @t8 (and (tptp.aElementOf0 @t5 @t92) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t94 (tptp.aElementOf0 @t1 tptp.xT))) (tptp.aSubsetOf0 @t93 tptp.xT))) % 28.03/28.20 (assume @p77 (forall @t3 (=> @t52 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t62))) @t68) @t44) (forall @t18 (=> (and @t90 (or (forall @t39 (and (=> @t105 (and (or (and @t109 @t108) @t107) @t106)) (=> (and @t109 @t108 @t107 @t106) @t105))) (= @t89 @t74)) (=> (and (tptp.aSet0 @t103) (forall @t39 (= @t104 (exists @t85 (and (tptp.aElementOf0 @t83 @t89) (= (tptp.sdtlpdtrp0 @t15 @t83) @t34)))))) (or (forall @t39 (=> @t104 @t102)) (tptp.aSubsetOf0 @t103 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t39 (and @t102 (exists @t85 (and (tptp.aSet0 @t83) (forall @t101 (=> (tptp.aElementOf0 @t99 @t83) (tptp.aElementOf0 @t99 @t5))) (tptp.aSubsetOf0 @t83 @t5) (tptp.isCountable0 @t83) (forall @t101 (=> (or (and (or (and (tptp.aSet0 @t99) (forall (@list @t100) (=> (tptp.aElementOf0 @t100 @t99) (tptp.aElementOf0 @t100 @t83)))) (tptp.aSubsetOf0 @t99 @t83)) (= (tptp.sbrdtbr0 @t99) @t1)) (tptp.aElementOf0 @t99 (tptp.slbdtsldtrb0 @t83 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t99) @t34))))))))))))))) % 28.03/28.20 (assume @p78 (not (= tptp.xK tptp.sz00))) % 28.03/28.20 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 28.03/28.20 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t137 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) @t136)) % 28.03/28.20 (assume @p81 @t140) % 28.03/28.20 (assume @p82 @t149) % 28.03/28.20 (assume @p83 (and (tptp.aElementOf0 tptp.xi tptp.szNzAzT0) (tptp.aElementOf0 tptp.xj tptp.szNzAzT0))) % 28.03/28.20 (assume @p84 (=> (not (= tptp.xi tptp.xj)) (or (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 tptp.xj) tptp.xi) (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 tptp.xi) tptp.xj)))) % 28.03/28.20 (assume @p85 (and @t151 @t150)) % 28.03/28.20 (assume @p86 @t182) % 28.03/28.20 (assume @p87 true) % 28.03/28.20 (step @p88 :rule evaluate :args ((= true false))) % 28.03/28.20 (step @p89 :rule refl :args (@t185)) % 28.03/28.20 (step @p90 :rule refl :args (@t186)) % 28.03/28.20 (step @p91 :rule and_elim :premises (@p80) :args (1)) % 28.03/28.20 (step @p92 :rule symm :premises (@p91)) % 28.03/28.20 (step @p93 :rule refl :args (@t5)) % 28.03/28.20 (step @p94 :rule cong :premises (@p93 @p92) :args (@t56)) % 28.03/28.20 (step @p95 :rule cong :premises (@p94) :args (@t187)) % 28.03/28.20 (step @p96 :rule refl :args (@t1)) % 28.03/28.20 (step @p97 :rule cong :premises (@p96 @p92) :args (@t52)) % 28.03/28.20 (step @p98 :rule cong :premises (@p97) :args (@t188)) % 28.03/28.20 (step @p99 :rule nary_cong :premises (@p98 @p95 @p90 @p89) :args (@t189)) % 28.03/28.20 (step @p100 :rule cong :premises (@p99) :args (@t190)) % 28.03/28.20 (step @p101 :rule quant-merge-prenex :args ((= (forall @t25 @t192) @t190))) % 28.03/28.20 (step @p102 :rule quant-unused-vars :args ((= @t193 @t142))) % 28.03/28.20 (step @p103 :rule alpha_equiv :args (@t194 (@list @t183) (@list @t15))) % 28.03/28.20 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t195)) % 28.03/28.20 (step @p105 :rule quant-miniscope-and :args ((= @t196 @t195))) % 28.03/28.20 (step @p106 :rule trans :premises (@p105 @p104)) % 28.03/28.20 (step @p107 :rule refl :args (@t186)) % 28.03/28.20 (step @p108 :rule refl :args (@t187)) % 28.03/28.20 (step @p109 :rule refl :args (@t188)) % 28.03/28.20 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107 @p106) :args (@t197)) % 28.03/28.20 (step @p111 :rule quant-miniscope-or :args ((= @t192 @t197))) % 28.03/28.20 (step @p112 :rule trans :premises (@p111 @p110)) % 28.03/28.20 (step @p113 :rule symm :premises (@p112)) % 28.03/28.20 (step @p114 :rule cong :premises (@p113) :args ((forall @t25 @t199))) % 28.03/28.20 (step @p115 :rule trans :premises (@p114 @p101)) % 28.03/28.20 (step @p116 :rule aci_norm :args ((= (or (or @t188 @t187) (or @t186 @t198)) @t199))) % 28.03/28.20 (step @p117 :rule bool-impl-elim :args (@t60 @t198)) % 28.03/28.20 (step @p118 :rule bool-and-de-morgan :args (@t52 @t56 true)) % 28.03/28.20 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or (not @t57) @t200))) % 28.03/28.20 (step @p120 :rule trans :premises (@p119 @p116)) % 28.03/28.20 (step @p121 :rule bool-impl-elim :args (@t57 @t200)) % 28.03/28.20 (step @p122 :rule trans :premises (@p121 @p120)) % 28.03/28.20 (step @p123 :rule cong :premises (@p122) :args ((forall @t25 (=> @t57 @t200)))) % 28.03/28.20 (step @p124 :rule trans :premises (@p123 @p115)) % 28.03/28.20 (step @p125 :rule refl :args (@t142)) % 28.03/28.20 (step @p126 :rule bool-impl-elim :args (@t144 @t143)) % 28.03/28.20 (step @p127 :rule cong :premises (@p126) :args (@t145)) % 28.03/28.20 (step @p128 :rule nary_cong :premises (@p127 @p125) :args (@t146)) % 28.03/28.20 (step @p129 :rule refl :args (@t60)) % 28.03/28.20 (step @p130 :rule cong :premises (@p129 @p128) :args (@t147)) % 28.03/28.20 (step @p131 :rule refl :args (@t57)) % 28.03/28.20 (step @p132 :rule cong :premises (@p131 @p130) :args (@t148)) % 28.03/28.20 (step @p133 :rule cong :premises (@p132) :args (@t149)) % 28.03/28.20 (step @p134 :rule trans :premises (@p133 @p124)) % 28.03/28.20 (step @p135 :rule trans :premises (@p134 @p100)) % 28.03/28.20 (step @p136 :rule eq_resolve :premises (@p82 @p135)) % 28.03/28.20 (step @p137 :rule instantiate :premises (@p136) :args ((@list tptp.xm @t179 @t153))) % 28.03/28.20 (step @p138 :rule refl :args (@t201)) % 28.03/28.20 (step @p139 :rule refl :args (@t48)) % 28.03/28.20 (step @p140 :rule cong :premises (@p139 @p92) :args (@t50)) % 28.03/28.20 (step @p141 :rule nary_cong :premises (@p140 @p138) :args (@t202)) % 28.03/28.20 (step @p142 :rule nary_cong :premises (@p98 @p141) :args (@t203)) % 28.03/28.20 (step @p143 :rule cong :premises (@p142) :args ((forall @t3 @t203))) % 28.03/28.20 (step @p144 :rule bool-impl-elim :args (@t52 @t202)) % 28.03/28.20 (step @p145 :rule cong :premises (@p144) :args ((forall @t3 (=> @t52 @t202)))) % 28.03/28.20 (step @p146 :rule eq-symm :args (@t48 tptp.sz00)) % 28.03/28.21 (step @p147 :rule cong :premises (@p146) :args (@t49)) % 28.03/28.21 (step @p148 :rule refl :args (@t50)) % 28.03/28.21 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t51)) % 28.03/28.21 (step @p150 :rule refl :args (@t52)) % 28.03/28.21 (step @p151 :rule cong :premises (@p150 @p149) :args (@t53)) % 28.03/28.21 (step @p152 :rule cong :premises (@p151) :args (@t54)) % 28.03/28.21 (step @p153 :rule trans :premises (@p152 @p145)) % 28.03/28.21 (step @p154 :rule trans :premises (@p153 @p143)) % 28.03/28.21 (step @p155 :rule eq_resolve :premises (@p25 @p154)) % 28.03/28.21 (step @p156 :rule instantiate :premises (@p155) :args ((@list tptp.xn))) % 28.03/28.21 (step @p157 :rule refl :args (tptp.xn)) % 28.03/28.21 (step @p158 :rule cong :premises (@p157 @p92) :args (@t151)) % 28.03/28.21 (step @p159 :rule and_elim :premises (@p85) :args (0)) % 28.03/28.21 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 28.03/28.21 (step @p161 :rule cnf_or_pos :args (@t208)) % 28.03/28.21 (step @p162 :rule reordering :premises (@p161) :args ((or @t207 @t205 (not @t208)))) % 28.03/28.21 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p156) :args (@t205 @t209 (@list @t206 @t208))) % 28.03/28.21 (step @p164 :rule cnf_and_pos :args (@t205 0)) % 28.03/28.21 (step @p165 :rule reordering :premises (@p164) :args ((or @t204 (not @t205)))) % 28.03/28.21 (step @p166 :rule chain_m_resolution :premises (@p165 @p163) :args (@t204 @t210 (@list @t205))) % 28.03/28.21 (step @p167 :rule refl :args (tptp.xm)) % 28.03/28.21 (step @p168 :rule cong :premises (@p167 @p92) :args (@t150)) % 28.03/28.21 (step @p169 :rule and_elim :premises (@p85) :args (1)) % 28.03/28.21 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 28.03/28.21 (step @p171 :rule eq-symm :args (@t155 @t153)) % 28.03/28.21 (step @p172 :rule bool-impl-elim :args (@t157 @t156)) % 28.03/28.21 (step @p173 :rule cong :premises (@p172) :args (@t158)) % 28.03/28.21 (step @p174 :rule refl :args (@t159)) % 28.03/28.21 (step @p175 :rule bool-impl-elim :args (@t160 @t156)) % 28.03/28.21 (step @p176 :rule cong :premises (@p175) :args (@t161)) % 28.03/28.21 (step @p177 :rule refl :args (@t162)) % 28.03/28.21 (step @p178 :rule nary_cong :premises (@p177 @p176 @p174 @p173 @p171) :args (@t163)) % 28.03/28.21 (step @p179 :rule cong :premises (@p178) :args (@t164)) % 28.03/28.21 (step @p180 :rule refl :args (@t166)) % 28.03/28.21 (step @p181 :rule bool-impl-elim :args (@t160 @t167)) % 28.03/28.21 (step @p182 :rule cong :premises (@p181) :args (@t168)) % 28.03/28.21 (step @p183 :rule nary_cong :premises (@p182 @p180) :args (@t169)) % 28.03/28.21 (step @p184 :rule refl :args (@t171)) % 28.03/28.21 (step @p185 :rule cong :premises (@p184 @p183) :args (@t172)) % 28.03/28.21 (step @p186 :rule bool-impl-elim :args (@t157 @t173)) % 28.03/28.21 (step @p187 :rule cong :premises (@p186) :args (@t174)) % 28.03/28.21 (step @p188 :rule refl :args (@t175)) % 28.03/28.21 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t176)) % 28.03/28.21 (step @p190 :rule cong :premises (@p189 @p185) :args (@t177)) % 28.03/28.21 (step @p191 :rule nary_cong :premises (@p190 @p179) :args (@t178)) % 28.03/28.21 (step @p192 :rule refl :args (@t180)) % 28.03/28.21 (step @p193 :rule cong :premises (@p192 @p191) :args (@t181)) % 28.03/28.21 (step @p194 :rule cong :premises (@p193) :args (@t182)) % 28.03/28.21 (step @p195 :rule eq_resolve :premises (@p86 @p194)) % 28.03/28.21 (step @p196 :rule not_implies_elim1 :premises (@p195)) % 28.03/28.21 (step @p197 :rule cnf_or_pos :args (@t221)) % 28.03/28.21 (step @p198 :rule reordering :premises (@p197) :args ((or @t217 @t220 @t218 @t216 (not @t221)))) % 28.03/28.21 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p170 @p166 @p137) :args (@t216 @t222 (@list @t180 @t219 @t204 @t221))) % 28.03/28.21 (step @p200 :rule cnf_and_pos :args (@t216 0)) % 28.03/28.21 (step @p201 :rule reordering :premises (@p200) :args ((or @t215 (not @t216)))) % 28.03/28.21 (step @p202 :rule chain_m_resolution :premises (@p201 @p199) :args (@t215 @t210 (@list @t216))) % 28.03/28.21 (step @p203 :rule refl :args (@t231)) % 28.03/28.21 (step @p204 :rule refl :args (@t232)) % 28.03/28.21 (step @p205 :rule refl :args (@t112)) % 28.03/28.21 (step @p206 :rule cong :premises (@p205 @p92) :args (@t128)) % 28.03/28.21 (step @p207 :rule cong :premises (@p206) :args (@t233)) % 28.03/28.21 (step @p208 :rule refl :args (@t234)) % 28.03/28.21 (step @p209 :rule nary_cong :premises (@p208 @p94) :args (@t235)) % 28.03/28.21 (step @p210 :rule cong :premises (@p209) :args (@t236)) % 28.03/28.21 (step @p211 :rule cong :premises (@p210) :args (@t237)) % 28.03/28.21 (step @p212 :rule refl :args (@t238)) % 28.03/28.21 (step @p213 :rule nary_cong :premises (@p212 @p211) :args (@t239)) % 28.03/28.21 (step @p214 :rule nary_cong :premises (@p213 @p207) :args (@t240)) % 28.03/28.21 (step @p215 :rule nary_cong :premises (@p98 @p214 @p204 @p203) :args (@t241)) % 28.03/28.21 (step @p216 :rule cong :premises (@p215) :args ((forall @t242 @t241))) % 28.03/28.21 (step @p217 :rule refl :args (@t111)) % 28.03/28.21 (step @p218 :rule refl :args (@t115)) % 28.03/28.21 (step @p219 :rule refl :args (@t224)) % 28.03/28.21 (step @p220 :rule refl :args (@t119)) % 28.03/28.21 (step @p221 :rule eq-symm :args (@t225 @t113)) % 28.03/28.21 (step @p222 :rule cong :premises (@p221) :args (@t243)) % 28.03/28.21 (step @p223 :rule refl :args (@t226)) % 28.03/28.21 (step @p224 :rule refl :args (@t227)) % 28.03/28.21 (step @p225 :rule nary_cong :premises (@p224 @p223 @p222) :args (@t244)) % 28.03/28.21 (step @p226 :rule refl :args (@t228)) % 28.03/28.21 (step @p227 :rule cong :premises (@p226 @p225) :args (@t245)) % 28.03/28.21 (step @p228 :rule refl :args (@t122)) % 28.03/28.21 (step @p229 :rule refl :args (@t230)) % 28.03/28.21 (step @p230 :rule refl :args (@t125)) % 28.03/28.21 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228 @p227 @p220 @p219 @p218 @p217) :args (@t246)) % 28.03/28.21 (step @p232 :rule refl :args (@t240)) % 28.03/28.21 (step @p233 :rule refl :args (@t188)) % 28.03/28.21 (step @p234 :rule nary_cong :premises (@p233 @p232 @p204 @p231) :args (@t247)) % 28.03/28.21 (step @p235 :rule cong :premises (@p234) :args (@t248)) % 28.03/28.21 (step @p236 :rule quant-merge-prenex :args ((= (forall @t3 @t250) @t248))) % 28.03/28.21 (step @p237 :rule quant-unused-vars :args ((= @t251 @t111))) % 28.03/28.21 (step @p238 :rule quant-unused-vars :args ((= @t252 @t115))) % 28.03/28.21 (step @p239 :rule alpha_equiv :args (@t253 (@list @t223) @t254)) % 28.03/28.21 (step @p240 :rule quant-unused-vars :args ((= @t255 @t253))) % 28.03/28.21 (step @p241 :rule trans :premises (@p240 @p239)) % 28.03/28.21 (step @p242 :rule quant-unused-vars :args ((= @t256 @t119))) % 28.03/28.21 (step @p243 :rule alpha_equiv :args (@t257 (@list @t225) @t254)) % 28.03/28.21 (step @p244 :rule quant-unused-vars :args ((= @t258 @t257))) % 28.03/28.21 (step @p245 :rule trans :premises (@p244 @p243)) % 28.03/28.21 (step @p246 :rule quant-unused-vars :args ((= @t259 @t122))) % 28.03/28.21 (step @p247 :rule alpha_equiv :args (@t260 (@list @t229) @t254)) % 28.03/28.21 (step @p248 :rule quant-unused-vars :args ((= @t261 @t260))) % 28.03/28.21 (step @p249 :rule trans :premises (@p248 @p247)) % 28.03/28.21 (step @p250 :rule quant-unused-vars :args ((= @t262 @t125))) % 28.03/28.21 (step @p251 :rule nary_cong :premises (@p250 @p249 @p246 @p245 @p242 @p241 @p238 @p237) :args (@t263)) % 28.03/28.21 (step @p252 :rule quant-miniscope-and :args ((= @t264 @t263))) % 28.03/28.21 (step @p253 :rule trans :premises (@p252 @p251)) % 28.03/28.21 (step @p254 :rule refl :args (@t232)) % 28.03/28.21 (step @p255 :rule refl :args (@t240)) % 28.03/28.21 (step @p256 :rule nary_cong :premises (@p109 @p255 @p254 @p253) :args (@t265)) % 28.03/28.21 (step @p257 :rule quant-miniscope-or :args ((= @t250 @t265))) % 28.03/28.21 (step @p258 :rule trans :premises (@p257 @p256)) % 28.03/28.21 (step @p259 :rule symm :premises (@p258)) % 28.03/28.21 (step @p260 :rule cong :premises (@p259) :args ((forall @t3 @t267))) % 28.03/28.21 (step @p261 :rule trans :premises (@p260 @p236)) % 28.03/28.21 (step @p262 :rule trans :premises (@p261 @p235)) % 28.03/28.21 (step @p263 :rule aci_norm :args ((= (or @t188 @t268) @t267))) % 28.03/28.21 (step @p264 :rule aci_norm :args ((= (or (or @t240 @t232) @t266) @t268))) % 28.03/28.21 (step @p265 :rule refl :args (@t266)) % 28.03/28.21 (step @p266 :rule refl :args (@t233)) % 28.03/28.21 (step @p267 :rule bool-and-de-morgan :args (@t130 @t236 true)) % 28.03/28.21 (step @p268 :rule nary_cong :premises (@p267 @p266) :args ((and (not @t269) @t233))) % 28.03/28.21 (step @p269 :rule bool-or-de-morgan :args (@t269 @t128 false)) % 28.03/28.21 (step @p270 :rule trans :premises (@p269 @p268)) % 28.03/28.21 (step @p271 :rule nary_cong :premises (@p270 @p254) :args ((or (not @t270) @t232))) % 28.03/28.21 (step @p272 :rule bool-and-de-morgan :args (@t270 @t127 true)) % 28.03/28.21 (step @p273 :rule trans :premises (@p272 @p271)) % 28.03/28.21 (step @p274 :rule nary_cong :premises (@p273 @p265) :args ((or (not @t271) @t266))) % 28.03/28.21 (step @p275 :rule trans :premises (@p274 @p264)) % 28.03/28.21 (step @p276 :rule bool-impl-elim :args (@t271 @t266)) % 28.03/28.21 (step @p277 :rule trans :premises (@p276 @p275)) % 28.03/28.21 (step @p278 :rule nary_cong :premises (@p109 @p277) :args ((or @t188 @t272))) % 28.03/28.21 (step @p279 :rule trans :premises (@p278 @p263)) % 28.03/28.21 (step @p280 :rule bool-impl-elim :args (@t52 @t272)) % 28.03/28.21 (step @p281 :rule trans :premises (@p280 @p279)) % 28.03/28.21 (step @p282 :rule cong :premises (@p281) :args ((forall @t3 (=> @t52 @t272)))) % 28.03/28.21 (step @p283 :rule trans :premises (@p282 @p262)) % 28.03/28.21 (step @p284 :rule bool-impl-elim :args (@t117 @t116)) % 28.03/28.21 (step @p285 :rule cong :premises (@p284) :args (@t118)) % 28.03/28.21 (step @p286 :rule refl :args (@t121)) % 28.03/28.21 (step @p287 :rule bool-impl-elim :args (@t120 @t123)) % 28.03/28.21 (step @p288 :rule cong :premises (@p287) :args (@t124)) % 28.03/28.21 (step @p289 :rule nary_cong :premises (@p230 @p288 @p228 @p286 @p220 @p285 @p218 @p217) :args (@t126)) % 28.03/28.21 (step @p290 :rule refl :args (@t127)) % 28.03/28.21 (step @p291 :rule refl :args (@t128)) % 28.03/28.21 (step @p292 :rule bool-impl-elim :args (@t120 @t56)) % 28.03/28.21 (step @p293 :rule cong :premises (@p292) :args (@t129)) % 28.03/28.21 (step @p294 :rule refl :args (@t130)) % 28.03/28.21 (step @p295 :rule nary_cong :premises (@p294 @p293) :args (@t131)) % 28.03/28.21 (step @p296 :rule nary_cong :premises (@p295 @p291) :args (@t132)) % 28.03/28.21 (step @p297 :rule nary_cong :premises (@p296 @p290) :args (@t133)) % 28.03/28.21 (step @p298 :rule cong :premises (@p297 @p289) :args (@t134)) % 28.03/28.21 (step @p299 :rule cong :premises (@p150 @p298) :args (@t135)) % 28.03/28.21 (step @p300 :rule cong :premises (@p299) :args (@t136)) % 28.03/28.21 (step @p301 :rule trans :premises (@p300 @p283)) % 28.03/28.21 (step @p302 :rule trans :premises (@p301 @p216)) % 28.03/28.21 (step @p303 :rule and_elim :premises (@p80) :args (3)) % 28.03/28.21 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 28.03/28.21 (step @p305 :rule refl :args (@t273)) % 28.03/28.21 (step @p306 :rule refl :args (@t274)) % 28.03/28.21 (step @p307 :rule refl :args (@t277)) % 28.03/28.21 (step @p308 :rule refl :args (@t278)) % 28.03/28.21 (step @p309 :rule eq-symm :args (@t153 tptp.sz00)) % 28.03/28.21 (step @p310 :rule cong :premises (@p309) :args (@t279)) % 28.03/28.21 (step @p311 :rule refl :args (@t280)) % 28.03/28.21 (step @p312 :rule refl :args (@t281)) % 28.03/28.21 (step @p313 :rule nary_cong :premises (@p312 @p311 @p310) :args (@t282)) % 28.03/28.21 (step @p314 :rule refl :args (@t283)) % 28.03/28.21 (step @p315 :rule cong :premises (@p314 @p313) :args (@t284)) % 28.03/28.21 (step @p316 :rule refl :args (@t170)) % 28.03/28.21 (step @p317 :rule refl :args (@t286)) % 28.03/28.21 (step @p318 :rule nary_cong :premises (@p188 @p317 @p316 @p315 @p308 @p307 @p306 @p305) :args (@t287)) % 28.03/28.21 (step @p319 :rule refl :args (@t289)) % 28.03/28.21 (step @p320 :rule refl :args (@t294)) % 28.03/28.21 (step @p321 :rule refl :args (@t207)) % 28.03/28.21 (step @p322 :rule nary_cong :premises (@p321 @p320 @p319 @p318) :args (@t295)) % 28.03/28.21 (step @p323 :rule refl :args (@t296)) % 28.03/28.21 (step @p324 :rule cong :premises (@p323 @p322) :args ((=> @t296 @t295))) % 28.03/28.21 (assume-push @p505 @t296) % 28.03/28.21 (step @p326 :rule instantiate :premises (@p304) :args ((@list tptp.xn tptp.sz00 tptp.sz00 @t153))) % 28.03/28.21 (step-pop @p506 :rule scope :premises (@p326)) % 28.03/28.21 (step @p327 :rule process_scope :premises (@p506) :args (@t295)) % 28.03/28.21 (step @p329 :rule eq_resolve :premises (@p327 @p324)) % 28.03/28.21 (step @p330 :rule implies_elim :premises (@p329)) % 28.03/28.21 (step @p331 :rule chain_m_resolution :premises (@p330 @p304) :args (@t299 @t210 @t300)) % 28.03/28.21 (step @p332 :rule refl :args (@t301)) % 28.03/28.21 (step @p333 :rule cong :premises (@p332 @p92) :args (@t302)) % 28.03/28.21 (step @p334 :rule refl :args (@t303)) % 28.03/28.21 (step @p335 :rule nary_cong :premises (@p334 @p333) :args (@t304)) % 28.03/28.21 (step @p336 :rule nary_cong :premises (@p294 @p335 @p206 @p290) :args (@t305)) % 28.03/28.21 (step @p337 :rule nary_cong :premises (@p98 @p336) :args (@t306)) % 28.03/28.21 (step @p338 :rule cong :premises (@p337) :args (@t307)) % 28.03/28.21 (step @p339 :rule quant-merge-prenex :args ((= (forall @t3 @t309) @t307))) % 28.03/28.21 (step @p340 :rule quant-unused-vars :args ((= @t310 @t127))) % 28.03/28.21 (step @p341 :rule quant-unused-vars :args ((= @t311 @t128))) % 28.03/28.21 (step @p342 :rule alpha_equiv :args (@t312 (@list @t301) @t254)) % 28.03/28.21 (step @p343 :rule quant-unused-vars :args ((= @t313 @t130))) % 28.03/28.21 (step @p344 :rule nary_cong :premises (@p343 @p342 @p341 @p340) :args (@t314)) % 28.03/28.21 (step @p345 :rule quant-miniscope-and :args ((= @t315 @t314))) % 28.03/28.21 (step @p346 :rule trans :premises (@p345 @p344)) % 28.03/28.21 (step @p347 :rule nary_cong :premises (@p109 @p346) :args (@t316)) % 28.03/28.21 (step @p348 :rule quant-miniscope-or :args ((= @t309 @t316))) % 28.03/28.21 (step @p349 :rule trans :premises (@p348 @p347)) % 28.03/28.21 (step @p350 :rule symm :premises (@p349)) % 28.03/28.21 (step @p351 :rule cong :premises (@p350) :args ((forall @t3 (or @t188 @t317)))) % 28.03/28.21 (step @p352 :rule trans :premises (@p351 @p339)) % 28.03/28.21 (step @p353 :rule bool-impl-elim :args (@t52 @t317)) % 28.03/28.21 (step @p354 :rule cong :premises (@p353) :args ((forall @t3 (=> @t52 @t317)))) % 28.03/28.21 (step @p355 :rule trans :premises (@p354 @p352)) % 28.03/28.21 (step @p356 :rule nary_cong :premises (@p294 @p293 @p291 @p290) :args (@t138)) % 28.03/28.21 (step @p357 :rule cong :premises (@p150 @p356) :args (@t139)) % 28.03/28.21 (step @p358 :rule cong :premises (@p357) :args (@t140)) % 28.03/28.21 (step @p359 :rule trans :premises (@p358 @p355)) % 28.03/28.21 (step @p360 :rule trans :premises (@p359 @p338)) % 28.03/28.21 (step @p361 :rule eq_resolve :premises (@p81 @p360)) % 28.03/28.21 (step @p362 :rule instantiate :premises (@p361) :args ((@list tptp.xn tptp.sz00))) % 28.03/28.21 (step @p363 :rule cnf_or_pos :args (@t320)) % 28.03/28.21 (step @p364 :rule reordering :premises (@p363) :args ((or @t207 @t319 (not @t320)))) % 28.03/28.21 (step @p365 :rule chain_m_resolution :premises (@p364 @p160 @p362) :args (@t319 @t209 (@list @t206 @t320))) % 28.03/28.21 (step @p366 :rule cnf_and_pos :args (@t319 2)) % 28.03/28.21 (step @p367 :rule reordering :premises (@p366) :args ((or @t290 @t321))) % 28.03/28.21 (step @p368 :rule chain_m_resolution :premises (@p367 @p365) :args (@t290 @t210 @t322)) % 28.03/28.21 (step @p369 :rule cnf_and_pos :args (@t294 1)) % 28.03/28.21 (step @p370 :rule reordering :premises (@p369) :args ((or @t291 @t323))) % 28.03/28.21 (step @p371 :rule chain_m_resolution :premises (@p370 @p368) :args (@t323 @t210 (@list @t290))) % 28.03/28.21 (step @p372 :rule cnf_and_pos :args (@t319 3)) % 28.03/28.21 (step @p373 :rule reordering :premises (@p372) :args ((or @t288 @t321))) % 28.03/28.21 (step @p374 :rule chain_m_resolution :premises (@p373 @p365) :args (@t288 @t210 @t322)) % 28.03/28.21 (step @p375 :rule cnf_or_pos :args (@t299)) % 28.03/28.21 (step @p376 :rule reordering :premises (@p375) :args ((or @t207 @t289 @t294 @t298 (not @t299)))) % 28.03/28.21 (step @p377 :rule chain_m_resolution :premises (@p376 @p160 @p374 @p371 @p331) :args (@t298 @t324 (@list @t206 @t288 @t294 @t299))) % 28.03/28.21 (step @p378 :rule cnf_and_pos :args (@t298 5)) % 28.03/28.21 (step @p379 :rule reordering :premises (@p378) :args ((or @t277 (not @t298)))) % 28.03/28.21 (step @p380 :rule chain_m_resolution :premises (@p379 @p377) :args (@t277 @t210 (@list @t298))) % 28.03/28.21 (step @p381 :rule refl :args (@t326)) % 28.03/28.21 (step @p382 :rule bool-eq-false :args (@t275)) % 28.03/28.21 (step @p383 :rule absorb :args ((= (and @t327 @t175 false) false))) % 28.03/28.21 (step @p384 :rule evaluate :args ((not true))) % 28.03/28.21 (step @p385 :rule eq-refl :args (@t153)) % 28.03/28.21 (step @p386 :rule cong :premises (@p385) :args (@t328)) % 28.03/28.21 (step @p387 :rule trans :premises (@p386 @p384)) % 28.03/28.21 (step @p388 :rule refl :args (@t327)) % 28.03/28.21 (step @p389 :rule nary_cong :premises (@p388 @p188 @p387) :args (@t329)) % 28.03/28.21 (step @p390 :rule trans :premises (@p389 @p383)) % 28.03/28.21 (step @p391 :rule refl :args (@t275)) % 28.03/28.21 (step @p392 :rule cong :premises (@p391 @p390) :args (@t330)) % 28.03/28.21 (step @p393 :rule trans :premises (@p392 @p382)) % 28.03/28.21 (step @p394 :rule nary_cong :premises (@p188 @p317 @p316 @p393 @p308 @p381 @p306 @p305) :args (@t331)) % 28.03/28.21 (step @p395 :rule nary_cong :premises (@p321 @p320 @p319 @p394) :args (@t332)) % 28.03/28.21 (step @p396 :rule cong :premises (@p323 @p395) :args ((=> @t296 @t332))) % 28.03/28.21 (assume-push @p507 @t296) % 28.03/28.21 (step @p398 :rule instantiate :premises (@p304) :args ((@list tptp.xn tptp.sz00 @t153 tptp.sz00))) % 28.03/28.21 (step-pop @p508 :rule scope :premises (@p398)) % 28.03/28.21 (step @p399 :rule process_scope :premises (@p508) :args (@t332)) % 28.03/28.21 (step @p401 :rule eq_resolve :premises (@p399 @p396)) % 28.03/28.21 (step @p402 :rule implies_elim :premises (@p401)) % 28.03/28.21 (step @p403 :rule chain_m_resolution :premises (@p402 @p304) :args (@t335 @t210 @t300)) % 28.03/28.21 (step @p404 :rule cnf_or_pos :args (@t335)) % 28.03/28.21 (step @p405 :rule reordering :premises (@p404) :args ((or @t207 @t289 @t294 @t334 (not @t335)))) % 28.03/28.21 (step @p406 :rule chain_m_resolution :premises (@p405 @p160 @p374 @p371 @p403) :args (@t334 @t324 (@list @t206 @t288 @t294 @t335))) % 28.03/28.21 (step @p407 :rule cnf_and_pos :args (@t334 3)) % 28.03/28.21 (step @p408 :rule reordering :premises (@p407) :args ((or @t333 (not @t334)))) % 28.03/28.21 (step @p409 :rule chain_m_resolution :premises (@p408 @p406) :args (@t333 @t210 (@list @t334))) % 28.03/28.21 (step @p410 :rule cnf_or_pos :args (@t277)) % 28.03/28.21 (step @p411 :rule reordering :premises (@p410) :args ((or @t275 @t276 (not @t277)))) % 28.03/28.21 (step @p412 :rule chain_m_resolution :premises (@p411 @p409 @p380) :args (@t276 @t336 (@list @t275 @t277))) % 28.03/28.21 (step @p413 :rule cnf_or_pos :args (@t215)) % 28.03/28.21 (step @p414 :rule reordering :premises (@p413) :args ((or @t213 @t214 (not @t215)))) % 28.03/28.21 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p202) :args (@t214 @t336 (@list @t213 @t215))) % 28.03/28.21 (step @p416 :rule false_intro :premises (@p415)) % 28.03/28.21 (step @p417 :rule refl :args (@t154)) % 28.03/28.21 (step @p418 :rule aci_norm :args ((= (or @t343 @t342) (or @t341 @t340 @t339 @t338 @t337 @t26)))) % 28.03/28.21 (step @p419 :rule aci_norm :args ((= (or (or @t338 @t337) @t26) @t342))) % 28.03/28.21 (step @p420 :rule refl :args (@t26)) % 28.03/28.21 (step @p421 :rule bool-and-de-morgan :args (@t24 @t27 true)) % 28.03/28.21 (step @p422 :rule nary_cong :premises (@p421 @p420) :args ((or (not @t28) @t26))) % 28.03/28.21 (step @p423 :rule trans :premises (@p422 @p419)) % 28.03/28.21 (step @p424 :rule bool-impl-elim :args (@t28 @t26)) % 28.03/28.21 (step @p425 :rule trans :premises (@p424 @p423)) % 28.03/28.21 (step @p426 :rule aci_norm :args ((= (or @t341 (or @t340 @t339)) @t343))) % 28.03/28.21 (step @p427 :rule bool-and-de-morgan :args (@t19 @t30 true)) % 28.03/28.21 (step @p428 :rule refl :args (@t341)) % 28.03/28.21 (step @p429 :rule nary_cong :premises (@p428 @p427) :args ((or @t341 (not (and @t19 @t30))))) % 28.03/28.21 (step @p430 :rule bool-and-de-morgan :args (@t2 @t19 (and @t30))) % 28.03/28.21 (step @p431 :rule trans :premises (@p430 @p429)) % 28.03/28.21 (step @p432 :rule trans :premises (@p431 @p426)) % 28.03/28.21 (step @p433 :rule nary_cong :premises (@p432 @p425) :args ((or (not @t31) @t29))) % 28.03/28.21 (step @p434 :rule trans :premises (@p433 @p418)) % 28.03/28.21 (step @p435 :rule bool-impl-elim :args (@t31 @t29)) % 28.03/28.21 (step @p436 :rule trans :premises (@p435 @p434)) % 28.03/28.21 (step @p437 :rule cong :premises (@p436) :args (@t33)) % 28.03/28.21 (step @p438 :rule eq_resolve :premises (@p14 @p437)) % 28.03/28.21 (step @p439 :rule instantiate :premises (@p438) :args ((@list @t154 @t211 @t165))) % 28.03/28.21 (step @p440 :rule instantiate :premises (@p136) :args ((@list tptp.xm @t179 tptp.sz00))) % 28.03/28.21 (step @p441 :rule cnf_or_pos :args (@t346)) % 28.03/28.21 (step @p442 :rule reordering :premises (@p441) :args ((or @t217 @t220 @t218 @t345 (not @t346)))) % 28.03/28.21 (step @p443 :rule chain_m_resolution :premises (@p442 @p196 @p170 @p166 @p440) :args (@t345 @t222 (@list @t180 @t219 @t204 @t346))) % 28.03/28.21 (step @p444 :rule cnf_and_pos :args (@t345 1)) % 28.03/28.21 (step @p445 :rule reordering :premises (@p444) :args ((or @t212 (not @t345)))) % 28.03/28.21 (step @p446 :rule chain_m_resolution :premises (@p445 @p443) :args (@t212 @t210 (@list @t345))) % 28.03/28.21 (step @p447 :rule instantiate :premises (@p361) :args ((@list tptp.xm tptp.sz00))) % 28.03/28.21 (step @p448 :rule cnf_or_pos :args (@t349)) % 28.03/28.21 (step @p449 :rule reordering :premises (@p448) :args ((or @t220 @t348 (not @t349)))) % 28.03/28.21 (step @p450 :rule chain_m_resolution :premises (@p449 @p170 @p447) :args (@t348 @t209 (@list @t219 @t349))) % 28.03/28.21 (step @p451 :rule cnf_and_pos :args (@t348 0)) % 28.03/28.21 (step @p452 :rule reordering :premises (@p451) :args ((or @t347 (not @t348)))) % 28.03/28.21 (step @p453 :rule chain_m_resolution :premises (@p452 @p450) :args (@t347 @t210 (@list @t348))) % 28.03/28.21 (step @p454 :rule nary_cong :premises (@p188 @p317 @p316 @p315 @p308 @p381 @p306 @p305) :args (@t350)) % 28.03/28.21 (step @p455 :rule nary_cong :premises (@p321 @p320 @p319 @p454) :args (@t351)) % 28.03/28.21 (step @p456 :rule cong :premises (@p323 @p455) :args ((=> @t296 @t351))) % 28.03/28.21 (assume-push @p509 @t296) % 28.03/28.21 (step @p458 :rule instantiate :premises (@p304) :args ((@list tptp.xn tptp.sz00 tptp.sz00 tptp.sz00))) % 28.03/28.21 (step-pop @p510 :rule scope :premises (@p458)) % 28.03/28.21 (step @p459 :rule process_scope :premises (@p510) :args (@t351)) % 28.03/28.21 (step @p461 :rule eq_resolve :premises (@p459 @p456)) % 28.03/28.21 (step @p462 :rule implies_elim :premises (@p461)) % 28.03/28.21 (step @p463 :rule chain_m_resolution :premises (@p462 @p304) :args (@t353 @t210 @t300)) % 28.03/28.21 (step @p464 :rule cnf_or_pos :args (@t353)) % 28.03/28.21 (step @p465 :rule reordering :premises (@p464) :args ((or @t207 @t289 @t294 @t352 (not @t353)))) % 28.03/28.21 (step @p466 :rule chain_m_resolution :premises (@p465 @p160 @p374 @p371 @p463) :args (@t352 @t324 (@list @t206 @t288 @t294 @t353))) % 28.03/28.21 (step @p467 :rule cnf_and_pos :args (@t352 6)) % 28.03/28.21 (step @p468 :rule reordering :premises (@p467) :args ((or @t274 @t354))) % 28.03/28.21 (step @p469 :rule chain_m_resolution :premises (@p468 @p466) :args (@t274 @t210 @t355)) % 28.03/28.21 (step @p470 :rule cnf_and_pos :args (@t352 4)) % 28.03/28.21 (step @p471 :rule reordering :premises (@p470) :args ((or @t278 @t354))) % 28.03/28.21 (step @p472 :rule chain_m_resolution :premises (@p471 @p466) :args (@t278 @t210 @t355)) % 28.03/28.21 (step @p473 :rule cnf_and_pos :args (@t352 2)) % 28.03/28.21 (step @p474 :rule reordering :premises (@p473) :args ((or @t170 @t354))) % 28.03/28.21 (step @p475 :rule chain_m_resolution :premises (@p474 @p466) :args (@t170 @t210 @t355)) % 28.03/28.21 (step @p476 :rule cnf_or_pos :args (@t361)) % 28.03/28.21 (step @p477 :rule reordering :premises (@p476) :args ((or @t166 @t358 @t359 @t356 @t360 @t357 (not @t361)))) % 28.03/28.21 (step @p478 :rule chain_m_resolution :premises (@p477 @p475 @p472 @p469 @p453 @p446 @p439) :args (@t166 (@list false false false false false false) (@list @t170 @t278 @t274 @t347 @t212 @t361))) % 28.03/28.21 (step @p479 :rule cnf_or_neg :args (@t363 1)) % 28.03/28.21 (step @p480 :rule chain_m_resolution :premises (@p479 @p478) :args (@t363 @t210 (@list @t166))) % 28.03/28.21 (step @p481 :rule cnf_implies_neg2 :args (@t364)) % 28.03/28.21 (step @p482 :rule chain_m_resolution :premises (@p481 @p480) :args (@t364 @t210 (@list @t363))) % 28.03/28.21 (step @p483 :rule cnf_implies_neg2 :args (@t366)) % 28.03/28.21 (step @p484 :rule chain_m_resolution :premises (@p483 @p482) :args (@t366 @t210 (@list @t364))) % 28.03/28.21 (step @p485 :rule bool-double-not-elim :args (@t368)) % 28.03/28.21 (step @p486 :rule refl :args (@t369)) % 28.03/28.21 (step @p487 :rule nary_cong :premises (@p486 @p485) :args ((or @t369 (not @t370)))) % 28.03/28.21 (step @p488 :rule not_implies_elim2 :premises (@p195)) % 28.03/28.21 (step @p489 :rule not_and :premises (@p488)) % 28.03/28.21 (step @p490 :rule eq_resolve :premises (@p489 @p487)) % 28.03/28.21 (step @p491 :rule reordering :premises (@p490) :args ((or @t368 @t369))) % 28.03/28.21 (step @p492 :rule chain_m_resolution :premises (@p491 @p484) :args (@t368 @t210 (@list @t366))) % 28.03/28.21 (step @p493 :rule cnf_and_pos :args (@t368 4)) % 28.03/28.21 (step @p494 :rule reordering :premises (@p493) :args ((or @t367 @t370))) % 28.03/28.21 (step @p495 :rule chain_m_resolution :premises (@p494 @p492) :args (@t367 @t210 @t371)) % 28.03/28.21 (step @p496 :rule symm :premises (@p495)) % 28.03/28.21 (step @p497 :rule cong :premises (@p496 @p417) :args (@t162)) % 28.03/28.21 (step @p498 :rule cnf_and_pos :args (@t368 0)) % 28.03/28.21 (step @p499 :rule reordering :premises (@p498) :args ((or @t162 @t370))) % 28.03/28.21 (step @p500 :rule chain_m_resolution :premises (@p499 @p492) :args (@t162 @t210 @t371)) % 28.03/28.21 (step @p501 :rule true_intro :premises (@p500)) % 28.03/28.21 (step @p502 :rule symm :premises (@p501)) % 28.03/28.21 (step @p503 :rule trans :premises (@p502 @p497 @p416)) % 28.03/28.21 (step @p504 false :rule eq_resolve :premises (@p503 @p88)) % 28.03/28.21 ) % 28.03/28.21 % SZS output end Proof % 28.03/28.21 % cvc5 exiting %------------------------------------------------------------------------------