%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM577+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:53 AM UTC 2026 % Result : Theorem 39.53s 39.75s % Output : Proof 39.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM577+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:31:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 39.53/39.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 39.53/39.75 --- Run --no-e-matching --full-saturate-quant at 6... % 39.53/39.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 39.53/39.75 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 39.53/39.75 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 39.53/39.75 % SZS status Theorem % 39.53/39.75 % SZS output start Proof % 39.53/39.75 ( % 39.53/39.75 (declare-sort $$unsorted 0) % 39.53/39.75 (declare-const tptp.xn $$unsorted) % 39.53/39.75 (declare-const tptp.xi $$unsorted) % 39.53/39.75 (declare-const tptp.xN $$unsorted) % 39.53/39.75 (declare-const tptp.sz00 $$unsorted) % 39.53/39.75 (declare-const tptp.xc $$unsorted) % 39.53/39.75 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 39.53/39.75 (declare-const tptp.szNzAzT0 $$unsorted) % 39.53/39.75 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 39.53/39.75 (declare-const tptp.xk $$unsorted) % 39.53/39.75 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 39.53/39.75 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.xm $$unsorted) % 39.53/39.75 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 39.53/39.75 (declare-const tptp.xj $$unsorted) % 39.53/39.75 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 39.53/39.75 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 39.53/39.75 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 39.53/39.75 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 39.53/39.75 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 39.53/39.75 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.xK $$unsorted) % 39.53/39.75 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.xT $$unsorted) % 39.53/39.75 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.xS $$unsorted) % 39.53/39.75 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.slcrc0 $$unsorted) % 39.53/39.75 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 39.53/39.75 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 39.53/39.75 (define @t1 () (@var "W0" $$unsorted)) % 39.53/39.75 (define @t2 () (tptp.aSet0 @t1)) % 39.53/39.75 (define @t3 () (@list @t1)) % 39.53/39.75 (define @t4 () (tptp.aElement0 @t1)) % 39.53/39.75 (define @t5 () (@var "W1" $$unsorted)) % 39.53/39.75 (define @t6 () (tptp.aElement0 @t5)) % 39.53/39.75 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 39.53/39.75 (define @t8 () (@list @t5)) % 39.53/39.75 (define @t9 () (forall @t8 (=> @t7 @t6))) % 39.53/39.75 (define @t10 () (=> @t2 @t9)) % 39.53/39.75 (define @t11 () (forall @t3 @t10)) % 39.53/39.75 (define @t12 () (tptp.isFinite0 @t1)) % 39.53/39.75 (define @t13 () (exists @t8 @t7)) % 39.53/39.75 (define @t14 () (not @t13)) % 39.53/39.75 (define @t15 () (and @t2 @t14)) % 39.53/39.75 (define @t16 () (= @t1 tptp.slcrc0)) % 39.53/39.75 (define @t17 () (= @t16 @t15)) % 39.53/39.75 (define @t18 () (forall @t3 @t17)) % 39.53/39.75 (define @t19 () (tptp.isFinite0 tptp.slcrc0)) % 39.53/39.75 (define @t20 () (tptp.isCountable0 @t1)) % 39.53/39.75 (define @t21 () (not @t12)) % 39.53/39.75 (define @t22 () (and @t2 @t20)) % 39.53/39.75 (define @t23 () (forall @t3 (=> @t22 @t21))) % 39.53/39.75 (define @t24 () (not @t16)) % 39.53/39.75 (define @t25 () (forall @t3 (=> @t22 @t24))) % 39.53/39.75 (define @t26 () (@var "W2" $$unsorted)) % 39.53/39.75 (define @t27 () (tptp.aElementOf0 @t26 @t1)) % 39.53/39.75 (define @t28 () (tptp.aElementOf0 @t26 @t5)) % 39.53/39.75 (define @t29 () (@list @t26)) % 39.53/39.75 (define @t30 () (forall @t29 (=> @t28 @t27))) % 39.53/39.75 (define @t31 () (tptp.aSet0 @t5)) % 39.53/39.75 (define @t32 () (and @t31 @t30)) % 39.53/39.75 (define @t33 () (tptp.aSubsetOf0 @t5 @t1)) % 39.53/39.75 (define @t34 () (= @t33 @t32)) % 39.53/39.75 (define @t35 () (forall @t8 @t34)) % 39.53/39.75 (define @t36 () (=> @t2 @t35)) % 39.53/39.75 (define @t37 () (forall @t3 @t36)) % 39.53/39.75 (define @t38 () (tptp.isFinite0 @t5)) % 39.53/39.75 (define @t39 () (and @t2 @t12)) % 39.53/39.75 (define @t40 () (= @t1 @t5)) % 39.53/39.75 (define @t41 () (tptp.aSubsetOf0 @t1 @t5)) % 39.53/39.75 (define @t42 () (@list @t1 @t5)) % 39.53/39.75 (define @t43 () (tptp.aSubsetOf0 @t1 @t26)) % 39.53/39.75 (define @t44 () (tptp.aSubsetOf0 @t5 @t26)) % 39.53/39.75 (define @t45 () (and @t41 @t44)) % 39.53/39.75 (define @t46 () (=> @t45 @t43)) % 39.53/39.75 (define @t47 () (tptp.aSet0 @t26)) % 39.53/39.75 (define @t48 () (and @t2 @t31 @t47)) % 39.53/39.75 (define @t49 () (@list @t1 @t5 @t26)) % 39.53/39.75 (define @t50 () (forall @t49 (=> @t48 @t46))) % 39.53/39.75 (define @t51 () (@var "W3" $$unsorted)) % 39.53/39.75 (define @t52 () (= @t51 @t5)) % 39.53/39.75 (define @t53 () (tptp.aElementOf0 @t51 @t1)) % 39.53/39.75 (define @t54 () (tptp.aElement0 @t51)) % 39.53/39.75 (define @t55 () (tptp.aElementOf0 @t51 @t26)) % 39.53/39.75 (define @t56 () (@list @t51)) % 39.53/39.75 (define @t57 () (tptp.sdtpldt0 @t1 @t5)) % 39.53/39.75 (define @t58 () (and @t2 @t6)) % 39.53/39.75 (define @t59 () (not @t52)) % 39.53/39.75 (define @t60 () (and @t54 @t53 @t59)) % 39.53/39.75 (define @t61 () (= @t55 @t60)) % 39.53/39.75 (define @t62 () (forall @t56 @t61)) % 39.53/39.75 (define @t63 () (and @t47 @t62)) % 39.53/39.75 (define @t64 () (tptp.sdtmndt0 @t1 @t5)) % 39.53/39.75 (define @t65 () (= @t26 @t64)) % 39.53/39.75 (define @t66 () (= @t65 @t63)) % 39.53/39.75 (define @t67 () (forall @t29 @t66)) % 39.53/39.75 (define @t68 () (=> @t58 @t67)) % 39.53/39.75 (define @t69 () (forall @t42 @t68)) % 39.53/39.75 (define @t70 () (tptp.sdtpldt0 @t5 @t1)) % 39.53/39.75 (define @t71 () (tptp.isCountable0 @t5)) % 39.53/39.75 (define @t72 () (and @t31 @t71)) % 39.53/39.75 (define @t73 () (tptp.sdtmndt0 @t5 @t1)) % 39.53/39.75 (define @t74 () (and @t31 @t38)) % 39.53/39.75 (define @t75 () (tptp.aSet0 tptp.szNzAzT0)) % 39.53/39.75 (define @t76 () (tptp.szszuzczcdt0 @t1)) % 39.53/39.75 (define @t77 () (not (= @t76 tptp.sz00))) % 39.53/39.75 (define @t78 () (tptp.aElementOf0 @t76 tptp.szNzAzT0)) % 39.53/39.75 (define @t79 () (and @t78 @t77)) % 39.53/39.75 (define @t80 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 39.53/39.75 (define @t81 () (=> @t80 @t79)) % 39.53/39.75 (define @t82 () (forall @t3 @t81)) % 39.53/39.75 (define @t83 () (tptp.szszuzczcdt0 @t5)) % 39.53/39.75 (define @t84 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 39.53/39.75 (define @t85 () (and @t80 @t84)) % 39.53/39.75 (define @t86 () (= @t1 tptp.sz00)) % 39.53/39.75 (define @t87 () (tptp.sdtlseqdt0 @t1 @t5)) % 39.53/39.75 (define @t88 () (tptp.sdtlseqdt0 @t5 @t1)) % 39.53/39.75 (define @t89 () (tptp.sdtlseqdt0 @t5 @t26)) % 39.53/39.75 (define @t90 () (tptp.aElementOf0 @t26 tptp.szNzAzT0)) % 39.53/39.75 (define @t91 () (tptp.sbrdtbr0 @t1)) % 39.53/39.75 (define @t92 () (not @t7)) % 39.53/39.75 (define @t93 () (and @t2 @t84)) % 39.53/39.75 (define @t94 () (forall @t29 (=> @t27 @t89))) % 39.53/39.75 (define @t95 () (and @t7 @t94)) % 39.53/39.75 (define @t96 () (tptp.szmzizndt0 @t1)) % 39.53/39.75 (define @t97 () (= @t5 @t96)) % 39.53/39.75 (define @t98 () (= @t97 @t95)) % 39.53/39.75 (define @t99 () (forall @t8 @t98)) % 39.53/39.75 (define @t100 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 39.53/39.75 (define @t101 () (and @t100 @t24)) % 39.53/39.75 (define @t102 () (=> @t101 @t99)) % 39.53/39.75 (define @t103 () (forall @t3 @t102)) % 39.53/39.75 (define @t104 () (tptp.szmzizndt0 @t5)) % 39.53/39.75 (define @t105 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 39.53/39.75 (define @t106 () (tptp.slbdtrb0 @t1)) % 39.53/39.75 (define @t107 () (tptp.slbdtrb0 tptp.sz00)) % 39.53/39.75 (define @t108 () (tptp.slbdtrb0 @t5)) % 39.53/39.75 (define @t109 () (tptp.aSubsetOf0 @t51 @t1)) % 39.53/39.75 (define @t110 () (tptp.slbdtsldtrb0 @t1 @t5)) % 39.53/39.75 (define @t111 () (tptp.slbdtsldtrb0 @t5 @t1)) % 39.53/39.75 (define @t112 () (tptp.aFunction0 @t1)) % 39.53/39.75 (define @t113 () (tptp.szDzozmdt0 @t1)) % 39.53/39.75 (define @t114 () (tptp.sdtlpdtrp0 @t1 @t5)) % 39.53/39.75 (define @t115 () (tptp.aElementOf0 @t5 @t113)) % 39.53/39.75 (define @t116 () (tptp.sdtlpdtrp0 @t1 @t51)) % 39.53/39.75 (define @t117 () (tptp.aElementOf0 @t51 @t113)) % 39.53/39.75 (define @t118 () (tptp.sdtlbdtrb0 @t1 @t5)) % 39.53/39.75 (define @t119 () (and @t112 @t6)) % 39.53/39.75 (define @t120 () (@var "W4" $$unsorted)) % 39.53/39.75 (define @t121 () (@list @t120)) % 39.53/39.75 (define @t122 () (tptp.sdtlcdtrc0 @t1 @t5)) % 39.53/39.75 (define @t123 () (tptp.aSubsetOf0 @t5 @t113)) % 39.53/39.75 (define @t124 () (tptp.sdtlcdtrc0 @t1 @t113)) % 39.53/39.75 (define @t125 () (tptp.szDzozmdt0 @t26)) % 39.53/39.75 (define @t126 () (tptp.aFunction0 @t26)) % 39.53/39.75 (define @t127 () (tptp.szDzizrdt0 @t1)) % 39.53/39.75 (define @t128 () (tptp.szDzozmdt0 tptp.xc)) % 39.53/39.75 (define @t129 () (@var "W5" $$unsorted)) % 39.53/39.75 (define @t130 () (tptp.sdtlpdtrp0 tptp.xN @t76)) % 39.53/39.75 (define @t131 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 39.53/39.75 (define @t132 () (and (tptp.aSubsetOf0 @t130 (tptp.sdtmndt0 @t131 (tptp.szmzizndt0 @t131))) (tptp.isCountable0 @t130))) % 39.53/39.75 (define @t133 () (tptp.isCountable0 @t131)) % 39.53/39.75 (define @t134 () (tptp.aSubsetOf0 @t131 tptp.szNzAzT0)) % 39.53/39.75 (define @t135 () (and @t134 @t133)) % 39.53/39.75 (define @t136 () (=> @t135 @t132)) % 39.53/39.75 (define @t137 () (forall @t3 (=> @t80 @t136))) % 39.53/39.75 (define @t138 () (tptp.szDzozmdt0 tptp.xN)) % 39.53/39.75 (define @t139 () (forall @t3 (=> @t80 @t135))) % 39.53/39.75 (define @t140 () (tptp.aSubsetOf0 @t131 (tptp.sdtlpdtrp0 tptp.xN @t5))) % 39.53/39.75 (define @t141 () (=> @t88 @t140)) % 39.53/39.75 (define @t142 () (forall @t42 (=> @t85 @t141))) % 39.53/39.75 (define @t143 () (tptp.aElementOf0 tptp.xm tptp.szNzAzT0)) % 39.53/39.75 (define @t144 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0)) % 39.53/39.75 (define @t145 () (tptp.sdtlpdtrp0 tptp.xN tptp.xn)) % 39.53/39.75 (define @t146 () (tptp.szmzizndt0 @t145)) % 39.53/39.75 (define @t147 () (tptp.sdtlpdtrp0 tptp.xN tptp.xm)) % 39.53/39.75 (define @t148 () (tptp.szmzizndt0 @t147)) % 39.53/39.75 (define @t149 () (= @t148 @t146)) % 39.53/39.75 (define @t150 () (not @t149)) % 39.53/39.75 (define @t151 () (tptp.sdtmndt0 @t145 @t146)) % 39.53/39.75 (define @t152 () (tptp.aSubsetOf0 @t147 @t151)) % 39.53/39.75 (define @t153 () (and @t152 @t150)) % 39.53/39.75 (define @t154 () (tptp.szszuzczcdt0 tptp.xn)) % 39.53/39.75 (define @t155 () (tptp.sdtlseqdt0 @t154 tptp.xm)) % 39.53/39.75 (define @t156 () (=> @t155 @t153)) % 39.53/39.75 (define @t157 () (not @t156)) % 39.53/39.75 (define @t158 () (not @t20)) % 39.53/39.75 (define @t159 () (not @t2)) % 39.53/39.75 (define @t160 () (or @t159 @t158)) % 39.53/39.75 (define @t161 () (not @t22)) % 39.53/39.75 (define @t162 () (@var "BOUND_VARIABLE_8112" $$unsorted)) % 39.53/39.75 (define @t163 () (= (tptp.aSubsetOf0 @t162 @t1) (and (tptp.aSet0 @t162) (forall @t29 (or (not (tptp.aElementOf0 @t26 @t162)) @t27))))) % 39.53/39.75 (define @t164 () (or @t159 @t163)) % 39.53/39.75 (define @t165 () (@list @t162)) % 39.53/39.75 (define @t166 () (forall @t165 @t164)) % 39.53/39.75 (define @t167 () (forall @t165 @t163)) % 39.53/39.75 (define @t168 () (@list @t5)) % 39.53/39.75 (define @t169 () (or @t159 @t167)) % 39.53/39.75 (define @t170 () (forall @t8 (= @t33 (and @t31 (forall @t29 (or (not @t28) @t27)))))) % 39.53/39.75 (define @t171 () (tptp.aElementOf0 @t26 @t138)) % 39.53/39.75 (define @t172 () (not (tptp.aElementOf0 @t26 @t147))) % 39.53/39.75 (define @t173 () (tptp.aSet0 @t147)) % 39.53/39.75 (define @t174 () (and @t173 (forall @t29 (or @t172 @t171)))) % 39.53/39.75 (define @t175 () (tptp.aSubsetOf0 @t147 @t138)) % 39.53/39.75 (define @t176 () (= @t175 @t174)) % 39.53/39.75 (define @t177 () (tptp.aSet0 @t138)) % 39.53/39.75 (define @t178 () (not @t177)) % 39.53/39.75 (define @t179 () (or @t178 @t176)) % 39.53/39.75 (define @t180 () (@list false false)) % 39.53/39.75 (define @t181 () (not @t80)) % 39.53/39.75 (define @t182 () (or @t181 @t135)) % 39.53/39.75 (define @t183 () (tptp.isCountable0 @t147)) % 39.53/39.75 (define @t184 () (and @t175 @t183)) % 39.53/39.75 (define @t185 () (tptp.aElementOf0 tptp.xm @t138)) % 39.53/39.75 (define @t186 () (not @t185)) % 39.53/39.75 (define @t187 () (or @t186 @t184)) % 39.53/39.75 (define @t188 () (not @t184)) % 39.53/39.75 (define @t189 () (@list false)) % 39.53/39.75 (define @t190 () (@list @t184)) % 39.53/39.75 (define @t191 () (not @t175)) % 39.53/39.75 (define @t192 () (tptp.isFinite0 @t147)) % 39.53/39.75 (define @t193 () (not @t192)) % 39.53/39.75 (define @t194 () (not @t183)) % 39.53/39.75 (define @t195 () (not @t173)) % 39.53/39.75 (define @t196 () (or @t195 @t194 @t193)) % 39.53/39.75 (define @t197 () (@list false false false)) % 39.53/39.75 (define @t198 () (@var "BOUND_VARIABLE_8566" $$unsorted)) % 39.53/39.75 (define @t199 () (= @t96 @t198)) % 39.53/39.75 (define @t200 () (not @t27)) % 39.53/39.75 (define @t201 () (and (tptp.aElementOf0 @t198 @t1) (forall @t29 (or @t200 (tptp.sdtlseqdt0 @t198 @t26))))) % 39.53/39.75 (define @t202 () (= @t201 @t199)) % 39.53/39.75 (define @t203 () (not @t100)) % 39.53/39.75 (define @t204 () (or @t203 @t16 @t202)) % 39.53/39.75 (define @t205 () (@list @t1 @t198)) % 39.53/39.75 (define @t206 () (= (= @t198 @t96) @t201)) % 39.53/39.75 (define @t207 () (or @t203 @t16 @t206)) % 39.53/39.75 (define @t208 () (forall @t205 @t207)) % 39.53/39.75 (define @t209 () (@list @t198)) % 39.53/39.75 (define @t210 () (forall @t209 @t207)) % 39.53/39.75 (define @t211 () (forall @t209 @t206)) % 39.53/39.75 (define @t212 () (or @t203 @t16 @t211)) % 39.53/39.75 (define @t213 () (forall @t8 (= @t97 (and @t7 (forall @t29 (or @t200 @t89)))))) % 39.53/39.75 (define @t214 () (or @t203 @t16 @t213)) % 39.53/39.75 (define @t215 () (tptp.sdtlseqdt0 @t146 @t26)) % 39.53/39.75 (define @t216 () (tptp.aElementOf0 @t146 @t147)) % 39.53/39.75 (define @t217 () (and @t216 (forall @t29 (or @t172 @t215)))) % 39.53/39.75 (define @t218 () (or @t191 (= @t147 @t107) (= @t217 @t149))) % 39.53/39.75 (define @t219 () (= @t1 @t107)) % 39.53/39.75 (define @t220 () (forall @t205 (or (not (tptp.aSubsetOf0 @t1 @t138)) @t219 @t202))) % 39.53/39.75 (define @t221 () (= @t146 @t148)) % 39.53/39.75 (define @t222 () (= @t221 @t217)) % 39.53/39.75 (define @t223 () (= @t107 @t147)) % 39.53/39.75 (define @t224 () (or @t191 @t223 @t222)) % 39.53/39.75 (define @t225 () (@list @t220)) % 39.53/39.75 (define @t226 () (@var "BOUND_VARIABLE_8216" $$unsorted)) % 39.53/39.75 (define @t227 () (tptp.aElementOf0 @t51 @t226)) % 39.53/39.75 (define @t228 () (and @t54 @t53 (not (= @t5 @t51)))) % 39.53/39.75 (define @t229 () (forall @t56 (= @t227 @t228))) % 39.53/39.75 (define @t230 () (tptp.aSet0 @t226)) % 39.53/39.75 (define @t231 () (and @t230 @t229)) % 39.53/39.75 (define @t232 () (= (= @t226 @t64) @t231)) % 39.53/39.75 (define @t233 () (not @t6)) % 39.53/39.75 (define @t234 () (or @t159 @t233 @t232)) % 39.53/39.75 (define @t235 () (@list @t1 @t5 @t226)) % 39.53/39.75 (define @t236 () (forall @t235 @t234)) % 39.53/39.75 (define @t237 () (@list @t226)) % 39.53/39.75 (define @t238 () (forall @t237 @t234)) % 39.53/39.75 (define @t239 () (forall @t237 @t232)) % 39.53/39.75 (define @t240 () (or @t159 @t233 @t239)) % 39.53/39.75 (define @t241 () (forall @t29 (= @t65 (and @t47 (forall @t56 (= @t55 @t228)))))) % 39.53/39.75 (define @t242 () (or @t159 @t233 @t241)) % 39.53/39.75 (define @t243 () (tptp.aElementOf0 @t51 @t145)) % 39.53/39.75 (define @t244 () (tptp.aElementOf0 @t51 @t151)) % 39.53/39.75 (define @t245 () (forall @t56 (= @t244 (and @t54 @t243 (not (= @t51 @t146)))))) % 39.53/39.75 (define @t246 () (tptp.aSet0 @t151)) % 39.53/39.75 (define @t247 () (and @t246 @t245)) % 39.53/39.75 (define @t248 () (not (= @t146 @t51))) % 39.53/39.75 (define @t249 () (and @t54 @t243 @t248)) % 39.53/39.75 (define @t250 () (forall @t56 (= @t249 @t244))) % 39.53/39.75 (define @t251 () (and @t246 @t250)) % 39.53/39.75 (define @t252 () (= (= @t151 @t151) @t251)) % 39.53/39.75 (define @t253 () (tptp.aElement0 @t146)) % 39.53/39.75 (define @t254 () (not @t253)) % 39.53/39.75 (define @t255 () (tptp.aSet0 @t145)) % 39.53/39.75 (define @t256 () (not @t255)) % 39.53/39.75 (define @t257 () (or @t256 @t254 @t252)) % 39.53/39.75 (define @t258 () (forall @t235 (or @t159 @t233 (= (= @t64 @t226) (and @t230 (forall @t56 (= @t228 @t227))))))) % 39.53/39.75 (define @t259 () (or @t256 @t254 @t247)) % 39.53/39.75 (define @t260 () (@var "BOUND_VARIABLE_8063" $$unsorted)) % 39.53/39.75 (define @t261 () (tptp.aElement0 @t260)) % 39.53/39.75 (define @t262 () (not (tptp.aElementOf0 @t260 @t1))) % 39.53/39.75 (define @t263 () (or @t262 @t261)) % 39.53/39.75 (define @t264 () (or @t159 @t263)) % 39.53/39.75 (define @t265 () (forall (@list @t1 @t260) @t264)) % 39.53/39.75 (define @t266 () (@list @t260)) % 39.53/39.75 (define @t267 () (forall @t266 @t264)) % 39.53/39.75 (define @t268 () (forall @t266 @t263)) % 39.53/39.75 (define @t269 () (or @t159 @t268)) % 39.53/39.75 (define @t270 () (forall @t8 (or @t92 @t6))) % 39.53/39.75 (define @t271 () (@list @t145 @t146)) % 39.53/39.75 (define @t272 () (not (tptp.aElementOf0 @t26 @t145))) % 39.53/39.75 (define @t273 () (tptp.aElementOf0 @t146 @t145)) % 39.53/39.75 (define @t274 () (and @t273 (forall @t29 (or @t272 @t215)))) % 39.53/39.75 (define @t275 () (= @t146 @t146)) % 39.53/39.75 (define @t276 () (= @t274 @t275)) % 39.53/39.75 (define @t277 () (tptp.aSubsetOf0 @t145 @t138)) % 39.53/39.75 (define @t278 () (not @t277)) % 39.53/39.75 (define @t279 () (or @t278 (= @t145 @t107) @t276)) % 39.53/39.75 (define @t280 () (= @t107 @t145)) % 39.53/39.75 (define @t281 () (or @t278 @t280 @t274)) % 39.53/39.75 (define @t282 () (@list tptp.xn)) % 39.53/39.75 (define @t283 () (tptp.isCountable0 @t145)) % 39.53/39.75 (define @t284 () (and @t277 @t283)) % 39.53/39.75 (define @t285 () (tptp.aElementOf0 tptp.xn @t138)) % 39.53/39.75 (define @t286 () (not @t285)) % 39.53/39.75 (define @t287 () (or @t286 @t284)) % 39.53/39.75 (define @t288 () (not @t284)) % 39.53/39.75 (define @t289 () (@list @t284)) % 39.53/39.75 (define @t290 () (forall @t8 @t92)) % 39.53/39.75 (define @t291 () (and @t2 @t290)) % 39.53/39.75 (define @t292 () (= @t16 @t291)) % 39.53/39.75 (define @t293 () (tptp.aSet0 @t107)) % 39.53/39.75 (define @t294 () (and @t293 (forall @t8 (not (tptp.aElementOf0 @t5 @t107))))) % 39.53/39.75 (define @t295 () (= @t107 @t107)) % 39.53/39.75 (define @t296 () (forall @t3 (= @t291 @t219))) % 39.53/39.75 (define @t297 () (= @t294 @t295)) % 39.53/39.75 (define @t298 () (tptp.isCountable0 tptp.slcrc0)) % 39.53/39.75 (define @t299 () (not @t298)) % 39.53/39.75 (define @t300 () (tptp.aSet0 tptp.slcrc0)) % 39.53/39.75 (define @t301 () (not @t300)) % 39.53/39.75 (define @t302 () (or @t301 @t299)) % 39.53/39.75 (define @t303 () (not (= tptp.slcrc0 tptp.slcrc0))) % 39.53/39.75 (define @t304 () (or @t301 @t299 @t303)) % 39.53/39.75 (define @t305 () (or @t24 @t159 @t158 @t24)) % 39.53/39.75 (define @t306 () (or @t159 @t158 @t24)) % 39.53/39.75 (define @t307 () (tptp.isCountable0 @t107)) % 39.53/39.75 (define @t308 () (not @t307)) % 39.53/39.75 (define @t309 () (not @t280)) % 39.53/39.75 (define @t310 () (not @t283)) % 39.53/39.75 (define @t311 () (and @t308 @t280 @t283)) % 39.53/39.75 (define @t312 () (@list true false)) % 39.53/39.75 (define @t313 () (@list false true false)) % 39.53/39.75 (define @t314 () (and @t255 (forall @t29 (or @t272 @t171)))) % 39.53/39.75 (define @t315 () (= @t277 @t314)) % 39.53/39.75 (define @t316 () (or @t178 @t315)) % 39.53/39.75 (define @t317 () (not @t273)) % 39.53/39.75 (define @t318 () (or @t256 @t317 @t253)) % 39.53/39.75 (define @t319 () (not @t247)) % 39.53/39.75 (define @t320 () (@list @t247)) % 39.53/39.75 (define @t321 () (forall @t29 (or @t172 (tptp.aElementOf0 @t26 @t151)))) % 39.53/39.75 (define @t322 () (and @t173 @t321)) % 39.53/39.75 (define @t323 () (= @t152 @t322)) % 39.53/39.75 (define @t324 () (not @t246)) % 39.53/39.75 (define @t325 () (or @t324 @t323)) % 39.53/39.75 (define @t326 () (not @t44)) % 39.53/39.75 (define @t327 () (not @t41)) % 39.53/39.75 (define @t328 () (not @t47)) % 39.53/39.75 (define @t329 () (not @t31)) % 39.53/39.75 (define @t330 () (or @t327 @t326 @t43)) % 39.53/39.75 (define @t331 () (or @t159 @t329 @t328)) % 39.53/39.75 (define @t332 () (tptp.sdtlpdtrp0 tptp.xN @t154)) % 39.53/39.75 (define @t333 () (tptp.aSet0 @t332)) % 39.53/39.75 (define @t334 () (and @t333 (forall @t29 (or (not (tptp.aElementOf0 @t26 @t332)) @t171)))) % 39.53/39.75 (define @t335 () (tptp.aSubsetOf0 @t332 @t138)) % 39.53/39.75 (define @t336 () (= @t335 @t334)) % 39.53/39.75 (define @t337 () (or @t178 @t336)) % 39.53/39.75 (define @t338 () (not (= tptp.sz00 @t76))) % 39.53/39.75 (define @t339 () (and @t78 @t338)) % 39.53/39.75 (define @t340 () (or @t181 @t339)) % 39.53/39.75 (define @t341 () (tptp.aElementOf0 @t154 @t138)) % 39.53/39.75 (define @t342 () (and @t341 (not (= tptp.sz00 @t154)))) % 39.53/39.75 (define @t343 () (or @t286 @t342)) % 39.53/39.75 (define @t344 () (tptp.isCountable0 @t332)) % 39.53/39.75 (define @t345 () (and @t335 @t344)) % 39.53/39.75 (define @t346 () (not @t341)) % 39.53/39.75 (define @t347 () (or @t346 @t345)) % 39.53/39.75 (define @t348 () (not @t88)) % 39.53/39.75 (define @t349 () (not @t84)) % 39.53/39.75 (define @t350 () (or @t181 @t349 @t348 @t140)) % 39.53/39.75 (define @t351 () (tptp.aSubsetOf0 @t147 @t332)) % 39.53/39.75 (define @t352 () (not @t155)) % 39.53/39.75 (define @t353 () (or @t186 @t346 @t352 @t351)) % 39.53/39.75 (define @t354 () (@list false false false false)) % 39.53/39.75 (define @t355 () (not @t133)) % 39.53/39.75 (define @t356 () (not @t134)) % 39.53/39.75 (define @t357 () (or @t181 @t356 @t355 @t132)) % 39.53/39.75 (define @t358 () (or @t356 @t355 @t132)) % 39.53/39.75 (define @t359 () (tptp.aSubsetOf0 @t332 @t151)) % 39.53/39.75 (define @t360 () (and @t359 @t344)) % 39.53/39.75 (define @t361 () (or @t286 @t278 @t310 @t360)) % 39.53/39.75 (define @t362 () (not @t359)) % 39.53/39.75 (define @t363 () (not @t351)) % 39.53/39.75 (define @t364 () (not @t333)) % 39.53/39.75 (define @t365 () (or @t195 @t364 @t324 @t363 @t362 @t152)) % 39.53/39.75 (define @t366 () (not @t152)) % 39.53/39.75 (define @t367 () (@list @t146)) % 39.53/39.75 (define @t368 () (tptp.aElementOf0 @t146 @t151)) % 39.53/39.75 (define @t369 () (not @t216)) % 39.53/39.75 (define @t370 () (or @t369 @t368)) % 39.53/39.75 (define @t371 () (not @t275)) % 39.53/39.75 (define @t372 () (and @t253 @t273 @t371)) % 39.53/39.75 (define @t373 () (= @t368 @t372)) % 39.53/39.75 (define @t374 () (not @t217)) % 39.53/39.75 (define @t375 () (not @t221)) % 39.53/39.75 (define @t376 () (not @t222)) % 39.53/39.75 (define @t377 () (not @t223)) % 39.53/39.75 (define @t378 () (tptp.isFinite0 @t107)) % 39.53/39.75 (define @t379 () (not @t378)) % 39.53/39.75 (define @t380 () (and @t378 @t223 @t193)) % 39.53/39.75 (assume @p1 (forall @t3 (=> @t2 true))) % 39.53/39.75 (assume @p2 (forall @t3 (=> @t4 true))) % 39.53/39.75 (assume @p3 @t11) % 39.53/39.75 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 39.53/39.75 (assume @p5 @t18) % 39.53/39.75 (assume @p6 @t19) % 39.53/39.75 (assume @p7 (forall @t3 (=> @t2 (=> @t20 true)))) % 39.53/39.75 (assume @p8 @t23) % 39.53/39.75 (assume @p9 @t25) % 39.53/39.75 (assume @p10 @t37) % 39.53/39.75 (assume @p11 (forall @t3 (=> @t39 (forall @t8 (=> @t33 @t38))))) % 39.53/39.75 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 39.53/39.75 (assume @p13 (forall @t42 (=> (and @t2 @t31) (=> (and @t41 @t33) @t40)))) % 39.53/39.75 (assume @p14 @t50) % 39.53/39.75 (assume @p15 (forall @t42 (=> @t58 (forall @t29 (= (= @t26 @t57) (and @t47 (forall @t56 (= @t55 (and @t54 (or @t53 @t52)))))))))) % 39.53/39.75 (assume @p16 @t69) % 39.53/39.75 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t64 @t5) @t1)))))) % 39.53/39.75 (assume @p18 (forall @t42 (=> (and @t4 @t31) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t70 @t1) @t5))))) % 39.53/39.75 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t72 (tptp.isCountable0 @t70)))))) % 39.53/39.75 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t72 (tptp.isCountable0 @t73)))))) % 39.53/39.75 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t74 (tptp.isFinite0 @t70)))))) % 39.53/39.75 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t74 (tptp.isFinite0 @t73)))))) % 39.53/39.75 (assume @p23 (and @t75 (tptp.isCountable0 tptp.szNzAzT0))) % 39.53/39.75 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 39.53/39.75 (assume @p25 @t82) % 39.53/39.75 (assume @p26 (forall @t42 (=> @t85 (=> (= @t76 @t83) @t40)))) % 39.53/39.75 (assume @p27 (forall @t3 (=> @t80 (or @t86 (exists @t8 (and @t84 (= @t1 @t83))))))) % 39.53/39.75 (assume @p28 (forall @t3 (=> @t80 (not (= @t1 @t76))))) % 39.53/39.75 (assume @p29 (forall @t42 (=> @t85 (=> @t87 true)))) % 39.53/39.75 (assume @p30 (forall @t3 (=> @t80 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 39.53/39.75 (assume @p31 (forall @t3 (=> @t80 (not (tptp.sdtlseqdt0 @t76 tptp.sz00))))) % 39.53/39.75 (assume @p32 (forall @t42 (=> @t85 (= @t87 (tptp.sdtlseqdt0 @t76 @t83))))) % 39.53/39.75 (assume @p33 (forall @t3 (=> @t80 (tptp.sdtlseqdt0 @t1 @t76)))) % 39.53/39.75 (assume @p34 (forall @t3 (=> @t80 (tptp.sdtlseqdt0 @t1 @t1)))) % 39.53/39.75 (assume @p35 (forall @t42 (=> @t85 (=> (and @t87 @t88) @t40)))) % 39.53/39.75 (assume @p36 (forall @t49 (=> (and @t80 @t84 @t90) (=> (and @t87 @t89) (tptp.sdtlseqdt0 @t1 @t26))))) % 39.53/39.75 (assume @p37 (forall @t42 (=> @t85 (or @t87 (tptp.sdtlseqdt0 @t83 @t1))))) % 39.53/39.75 (assume @p38 (forall @t42 (=> @t85 (=> (tptp.iLess0 @t1 @t5) true)))) % 39.53/39.75 (assume @p39 (forall @t3 (=> @t80 (tptp.iLess0 @t1 @t76)))) % 39.53/39.75 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t91)))) % 39.53/39.75 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t91 tptp.szNzAzT0) @t12)))) % 39.53/39.75 (assume @p42 (forall @t3 (=> @t2 (= (= @t91 tptp.sz00) @t16)))) % 39.53/39.75 (assume @p43 (forall @t3 (=> @t39 (forall @t8 (=> @t6 (=> @t92 (= (tptp.sbrdtbr0 @t57) (tptp.szszuzczcdt0 @t91)))))))) % 39.53/39.75 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t64)) @t91)))))) % 39.53/39.75 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t33) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t91)))))) % 39.53/39.75 (assume @p46 (forall @t42 (=> @t93 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t91)) (exists @t29 (and (tptp.aSubsetOf0 @t26 @t1) (= (tptp.sbrdtbr0 @t26) @t5))))))) % 39.53/39.75 (assume @p47 @t103) % 39.53/39.75 (assume @p48 (forall @t3 (=> (and @t100 @t12 @t24) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t29 (=> @t27 (tptp.sdtlseqdt0 @t26 @t5))))))))) % 39.53/39.75 (assume @p49 (forall @t42 (=> (and @t100 @t105 @t24 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t96 @t5) (tptp.aElementOf0 @t104 @t1)) (= @t96 @t104))))) % 39.53/39.75 (assume @p50 (forall @t3 (=> @t80 (forall @t8 (= (= @t5 @t106) (and @t31 (forall @t29 (= @t28 (and @t90 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t26) @t1)))))))))) % 39.53/39.75 (assume @p51 (forall @t3 (=> @t80 (tptp.isFinite0 @t106)))) % 39.53/39.75 (assume @p52 (= @t107 tptp.slcrc0)) % 39.53/39.75 (assume @p53 (forall @t42 (=> @t85 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t83)) (or (tptp.aElementOf0 @t1 @t108) @t40))))) % 39.53/39.75 (assume @p54 (forall @t42 (=> @t85 (= @t87 (tptp.aSubsetOf0 @t106 @t108))))) % 39.53/39.75 (assume @p55 (forall @t3 (=> (and @t100 @t12) (exists @t8 (and @t84 (tptp.aSubsetOf0 @t1 @t108)))))) % 39.53/39.75 (assume @p56 (forall @t3 (=> @t80 (= (tptp.sbrdtbr0 @t106) @t1)))) % 39.53/39.75 (assume @p57 (forall @t42 (=> @t93 (forall @t29 (= (= @t26 @t110) (and @t47 (forall @t56 (= @t55 (and @t109 (= (tptp.sbrdtbr0 @t51) @t5)))))))))) % 39.53/39.75 (assume @p58 (forall @t3 (=> @t39 (forall @t8 (=> @t84 (tptp.isFinite0 @t110)))))) % 39.53/39.75 (assume @p59 (forall @t3 (=> (and @t2 @t21) (forall @t8 (=> @t84 (not (= @t110 tptp.slcrc0))))))) % 39.53/39.75 (assume @p60 (forall @t3 (=> @t22 (forall @t8 (=> (and @t84 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t110)))))) % 39.53/39.75 (assume @p61 (forall @t3 (=> @t80 (forall (@list @t5 @t26) (=> (and @t31 @t47 (not @t86)) (=> (and (tptp.aSubsetOf0 @t111 (tptp.slbdtsldtrb0 @t26 @t1)) (not (= @t111 tptp.slcrc0))) @t44)))))) % 39.53/39.75 (assume @p62 (forall @t42 (=> @t93 (forall @t29 (=> (and (tptp.aSubsetOf0 @t26 @t110) (tptp.isFinite0 @t26)) (exists @t56 (and @t109 (tptp.isFinite0 @t51) (tptp.aSubsetOf0 @t26 (tptp.slbdtsldtrb0 @t51 @t5))))))))) % 39.53/39.75 (assume @p63 (forall @t3 (=> @t112 true))) % 39.53/39.75 (assume @p64 (forall @t3 (=> @t112 (tptp.aSet0 @t113)))) % 39.53/39.75 (assume @p65 (forall @t3 (=> @t112 (forall @t8 (=> @t115 (tptp.aElement0 @t114)))))) % 39.53/39.75 (assume @p66 (forall @t42 (=> @t119 (forall @t29 (= (= @t26 @t118) (and @t47 (forall @t56 (= @t55 (and @t117 (= @t116 @t5)))))))))) % 39.53/39.75 (assume @p67 (forall @t42 (=> @t119 (tptp.aSubsetOf0 @t118 @t113)))) % 39.53/39.75 (assume @p68 (forall @t3 (=> @t112 (forall @t8 (=> @t123 (forall @t29 (= (= @t26 @t122) (and @t47 (forall @t56 (= @t55 (exists @t121 (and (tptp.aElementOf0 @t120 @t5) (= (tptp.sdtlpdtrp0 @t1 @t120) @t51))))))))))))) % 39.53/39.75 (assume @p69 (forall @t3 (=> @t112 (forall @t8 (=> @t115 (tptp.aElementOf0 @t114 @t124)))))) % 39.53/39.75 (assume @p70 (forall @t3 (=> @t112 (forall @t8 (=> @t123 (forall @t29 (= (= @t26 (tptp.sdtexdt0 @t1 @t5)) (and @t126 (= @t125 @t5) (forall @t56 (=> (tptp.aElementOf0 @t51 @t5) (= (tptp.sdtlpdtrp0 @t26 @t51) @t116))))))))))) % 39.53/39.75 (assume @p71 (forall @t3 (=> @t112 (forall @t8 (=> (and @t123 @t71) (=> (forall (@list @t26 @t51) (=> (and (tptp.aElementOf0 @t26 @t113) @t117 (not (= @t26 @t51))) (not (= (tptp.sdtlpdtrp0 @t1 @t26) @t116)))) (tptp.isCountable0 @t122))))))) % 39.53/39.75 (assume @p72 (forall @t3 (=> @t112 (=> (and (tptp.isCountable0 @t113) (tptp.isFinite0 @t124)) (and (tptp.aElement0 @t127) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t127))))))) % 39.53/39.75 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 39.53/39.75 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 39.53/39.75 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 39.53/39.75 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t128 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t128) tptp.xT))) % 39.53/39.75 (assume @p77 (forall @t3 (=> @t80 (forall @t8 (=> (and @t105 @t71) (forall @t29 (=> (and @t126 (= @t125 @t111) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t26 @t125) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t56 (and (tptp.aElementOf0 @t51 tptp.xT) (exists @t121 (and (tptp.aSubsetOf0 @t120 @t5) (tptp.isCountable0 @t120) (forall (@list @t129) (=> (tptp.aElementOf0 @t129 (tptp.slbdtsldtrb0 @t120 @t1)) (= (tptp.sdtlpdtrp0 @t26 @t129) @t51))))))))))))))) % 39.53/39.75 (assume @p78 (not (= tptp.xK tptp.sz00))) % 39.53/39.75 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 39.53/39.75 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t138 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) @t137)) % 39.53/39.75 (assume @p81 @t139) % 39.53/39.75 (assume @p82 @t142) % 39.53/39.75 (assume @p83 (and (tptp.aElementOf0 tptp.xi tptp.szNzAzT0) (tptp.aElementOf0 tptp.xj tptp.szNzAzT0))) % 39.53/39.75 (assume @p84 (=> (not (= tptp.xi tptp.xj)) (or (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 tptp.xj) tptp.xi) (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 tptp.xi) tptp.xj)))) % 39.53/39.75 (assume @p85 (and @t144 @t143)) % 39.53/39.75 (assume @p86 @t157) % 39.53/39.75 (assume @p87 true) % 39.53/39.75 (step @p88 :rule symm :premises (@p52)) % 39.53/39.75 (step @p89 :rule cong :premises (@p88) :args (@t19)) % 39.53/39.75 (step @p90 :rule eq_resolve :premises (@p6 @p89)) % 39.53/39.75 (step @p91 :rule aci_norm :args ((= (or @t160 @t21) (or @t159 @t158 @t21)))) % 39.53/39.75 (step @p92 :rule refl :args (@t21)) % 39.53/39.75 (step @p93 :rule bool-and-de-morgan :args (@t2 @t20 true)) % 39.53/39.75 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t161 @t21))) % 39.53/39.75 (step @p95 :rule trans :premises (@p94 @p91)) % 39.53/39.75 (step @p96 :rule bool-impl-elim :args (@t22 @t21)) % 39.53/39.75 (step @p97 :rule trans :premises (@p96 @p95)) % 39.53/39.75 (step @p98 :rule cong :premises (@p97) :args (@t23)) % 39.53/39.75 (step @p99 :rule eq_resolve :premises (@p8 @p98)) % 39.53/39.75 (step @p100 :rule instantiate :premises (@p99) :args ((@list @t147))) % 39.53/39.75 (step @p101 :rule quant-merge-prenex :args ((= (forall @t3 @t166) (forall (@list @t1 @t162) @t164)))) % 39.53/39.75 (step @p102 :rule alpha_equiv :args (@t167 (@list @t162) @t168)) % 39.53/39.75 (step @p103 :rule refl :args (@t159)) % 39.53/39.75 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t169)) % 39.53/39.75 (step @p105 :rule quant-miniscope-or :args ((= @t166 @t169))) % 39.53/39.75 (step @p106 :rule trans :premises (@p105 @p104)) % 39.53/39.75 (step @p107 :rule symm :premises (@p106)) % 39.53/39.75 (step @p108 :rule cong :premises (@p107) :args ((forall @t3 (or @t159 @t170)))) % 39.53/39.75 (step @p109 :rule trans :premises (@p108 @p101)) % 39.53/39.75 (step @p110 :rule bool-impl-elim :args (@t2 @t170)) % 39.53/39.75 (step @p111 :rule cong :premises (@p110) :args ((forall @t3 (=> @t2 @t170)))) % 39.53/39.75 (step @p112 :rule trans :premises (@p111 @p109)) % 39.53/39.75 (step @p113 :rule bool-impl-elim :args (@t28 @t27)) % 39.53/39.75 (step @p114 :rule cong :premises (@p113) :args (@t30)) % 39.53/39.75 (step @p115 :rule refl :args (@t31)) % 39.53/39.75 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t32)) % 39.53/39.75 (step @p117 :rule refl :args (@t33)) % 39.53/39.75 (step @p118 :rule cong :premises (@p117 @p116) :args (@t34)) % 39.53/39.75 (step @p119 :rule cong :premises (@p118) :args (@t35)) % 39.53/39.75 (step @p120 :rule refl :args (@t2)) % 39.53/39.75 (step @p121 :rule cong :premises (@p120 @p119) :args (@t36)) % 39.53/39.75 (step @p122 :rule cong :premises (@p121) :args (@t37)) % 39.53/39.75 (step @p123 :rule trans :premises (@p122 @p112)) % 39.53/39.75 (step @p124 :rule eq_resolve :premises (@p10 @p123)) % 39.53/39.75 (step @p125 :rule instantiate :premises (@p124) :args ((@list @t138 @t147))) % 39.53/39.75 (step @p126 :rule and_elim :premises (@p80) :args (1)) % 39.53/39.75 (step @p127 :rule symm :premises (@p126)) % 39.53/39.75 (step @p128 :rule cong :premises (@p127) :args (@t75)) % 39.53/39.75 (step @p129 :rule and_elim :premises (@p23) :args (0)) % 39.53/39.75 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 39.53/39.75 (step @p131 :rule cnf_or_pos :args (@t179)) % 39.53/39.75 (step @p132 :rule reordering :premises (@p131) :args ((or @t178 @t176 (not @t179)))) % 39.53/39.75 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p125) :args (@t176 @t180 (@list @t177 @t179))) % 39.53/39.75 (step @p134 :rule refl :args (@t133)) % 39.53/39.75 (step @p135 :rule refl :args (@t131)) % 39.53/39.75 (step @p136 :rule cong :premises (@p135 @p127) :args (@t134)) % 39.53/39.75 (step @p137 :rule nary_cong :premises (@p136 @p134) :args (@t135)) % 39.53/39.75 (step @p138 :rule refl :args (@t1)) % 39.53/39.75 (step @p139 :rule cong :premises (@p138 @p127) :args (@t80)) % 39.53/39.75 (step @p140 :rule cong :premises (@p139) :args (@t181)) % 39.53/39.75 (step @p141 :rule nary_cong :premises (@p140 @p137) :args (@t182)) % 39.53/39.75 (step @p142 :rule cong :premises (@p141) :args ((forall @t3 @t182))) % 39.53/39.75 (step @p143 :rule bool-impl-elim :args (@t80 @t135)) % 39.53/39.75 (step @p144 :rule cong :premises (@p143) :args (@t139)) % 39.53/39.75 (step @p145 :rule trans :premises (@p144 @p142)) % 39.53/39.75 (step @p146 :rule eq_resolve :premises (@p81 @p145)) % 39.53/39.75 (step @p147 :rule instantiate :premises (@p146) :args ((@list tptp.xm))) % 39.53/39.75 (step @p148 :rule refl :args (tptp.xm)) % 39.53/39.75 (step @p149 :rule cong :premises (@p148 @p127) :args (@t143)) % 39.53/39.75 (step @p150 :rule and_elim :premises (@p85) :args (1)) % 39.53/39.75 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 39.53/39.75 (step @p152 :rule cnf_or_pos :args (@t187)) % 39.53/39.75 (step @p153 :rule reordering :premises (@p152) :args ((or @t186 @t184 (not @t187)))) % 39.53/39.75 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p147) :args (@t184 @t180 (@list @t185 @t187))) % 39.53/39.75 (step @p155 :rule cnf_and_pos :args (@t184 0)) % 39.53/39.75 (step @p156 :rule reordering :premises (@p155) :args ((or @t175 @t188))) % 39.53/39.75 (step @p157 :rule chain_m_resolution :premises (@p156 @p154) :args (@t175 @t189 @t190)) % 39.53/39.75 (step @p158 :rule cnf_equiv_pos1 :args (@t176)) % 39.53/39.75 (step @p159 :rule reordering :premises (@p158) :args ((or @t191 @t174 (not @t176)))) % 39.53/39.75 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p133) :args (@t174 @t180 (@list @t175 @t176))) % 39.53/39.75 (step @p161 :rule cnf_and_pos :args (@t174 0)) % 39.53/39.75 (step @p162 :rule reordering :premises (@p161) :args ((or @t173 (not @t174)))) % 39.53/39.75 (step @p163 :rule chain_m_resolution :premises (@p162 @p160) :args (@t173 @t189 (@list @t174))) % 39.53/39.75 (step @p164 :rule cnf_and_pos :args (@t184 1)) % 39.53/39.75 (step @p165 :rule reordering :premises (@p164) :args ((or @t183 @t188))) % 39.53/39.75 (step @p166 :rule chain_m_resolution :premises (@p165 @p154) :args (@t183 @t189 @t190)) % 39.53/39.75 (step @p167 :rule cnf_or_pos :args (@t196)) % 39.53/39.75 (step @p168 :rule reordering :premises (@p167) :args ((or @t194 @t195 @t193 (not @t196)))) % 39.53/39.75 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p163 @p100) :args (@t193 @t197 (@list @t183 @t173 @t196))) % 39.53/39.75 (step @p170 :rule refl :args (@t202)) % 39.53/39.75 (step @p171 :rule cong :premises (@p138 @p88) :args (@t16)) % 39.53/39.75 (step @p172 :rule cong :premises (@p138 @p127) :args (@t100)) % 39.53/39.75 (step @p173 :rule cong :premises (@p172) :args (@t203)) % 39.53/39.75 (step @p174 :rule nary_cong :premises (@p173 @p171 @p170) :args (@t204)) % 39.53/39.75 (step @p175 :rule cong :premises (@p174) :args ((forall @t205 @t204))) % 39.53/39.75 (step @p176 :rule eq-symm :args (@t199 @t201)) % 39.53/39.75 (step @p177 :rule refl :args (@t201)) % 39.53/39.75 (step @p178 :rule eq-symm :args (@t198 @t96)) % 39.53/39.75 (step @p179 :rule cong :premises (@p178 @p177) :args (@t206)) % 39.53/39.75 (step @p180 :rule trans :premises (@p179 @p176)) % 39.53/39.75 (step @p181 :rule refl :args (@t16)) % 39.53/39.75 (step @p182 :rule refl :args (@t203)) % 39.53/39.75 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180) :args (@t207)) % 39.53/39.75 (step @p184 :rule cong :premises (@p183) :args (@t208)) % 39.53/39.75 (step @p185 :rule quant-merge-prenex :args ((= (forall @t3 @t210) @t208))) % 39.53/39.75 (step @p186 :rule alpha_equiv :args (@t211 (@list @t198) @t168)) % 39.53/39.75 (step @p187 :rule refl :args (@t16)) % 39.53/39.75 (step @p188 :rule refl :args (@t203)) % 39.53/39.75 (step @p189 :rule nary_cong :premises (@p188 @p187 @p186) :args (@t212)) % 39.53/39.75 (step @p190 :rule quant-miniscope-or :args ((= @t210 @t212))) % 39.53/39.75 (step @p191 :rule trans :premises (@p190 @p189)) % 39.53/39.75 (step @p192 :rule symm :premises (@p191)) % 39.53/39.75 (step @p193 :rule cong :premises (@p192) :args ((forall @t3 @t214))) % 39.53/39.75 (step @p194 :rule trans :premises (@p193 @p185)) % 39.53/39.75 (step @p195 :rule trans :premises (@p194 @p184)) % 39.53/39.75 (step @p196 :rule aci_norm :args ((= (or (or @t203 @t16) @t213) @t214))) % 39.53/39.75 (step @p197 :rule refl :args (@t213)) % 39.53/39.75 (step @p198 :rule bool-double-not-elim :args (@t16)) % 39.53/39.75 (step @p199 :rule nary_cong :premises (@p188 @p198) :args ((or @t203 (not @t24)))) % 39.53/39.75 (step @p200 :rule bool-and-de-morgan :args (@t100 @t24 true)) % 39.53/39.75 (step @p201 :rule trans :premises (@p200 @p199)) % 39.53/39.75 (step @p202 :rule nary_cong :premises (@p201 @p197) :args ((or (not @t101) @t213))) % 39.53/39.75 (step @p203 :rule trans :premises (@p202 @p196)) % 39.53/39.75 (step @p204 :rule bool-impl-elim :args (@t101 @t213)) % 39.53/39.75 (step @p205 :rule trans :premises (@p204 @p203)) % 39.53/39.75 (step @p206 :rule cong :premises (@p205) :args ((forall @t3 (=> @t101 @t213)))) % 39.53/39.75 (step @p207 :rule trans :premises (@p206 @p195)) % 39.53/39.75 (step @p208 :rule bool-impl-elim :args (@t27 @t89)) % 39.53/39.75 (step @p209 :rule cong :premises (@p208) :args (@t94)) % 39.53/39.75 (step @p210 :rule refl :args (@t7)) % 39.53/39.75 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t95)) % 39.53/39.75 (step @p212 :rule refl :args (@t97)) % 39.53/39.75 (step @p213 :rule cong :premises (@p212 @p211) :args (@t98)) % 39.53/39.75 (step @p214 :rule cong :premises (@p213) :args (@t99)) % 39.53/39.75 (step @p215 :rule refl :args (@t101)) % 39.53/39.75 (step @p216 :rule cong :premises (@p215 @p214) :args (@t102)) % 39.53/39.75 (step @p217 :rule cong :premises (@p216) :args (@t103)) % 39.53/39.75 (step @p218 :rule trans :premises (@p217 @p207)) % 39.53/39.75 (step @p219 :rule trans :premises (@p218 @p175)) % 39.53/39.75 (step @p220 :rule eq_resolve :premises (@p47 @p219)) % 39.53/39.75 (step @p221 :rule refl :args (@t217)) % 39.53/39.75 (step @p222 :rule eq-symm :args (@t148 @t146)) % 39.53/39.75 (step @p223 :rule cong :premises (@p222 @p221) :args ((= @t149 @t217))) % 39.53/39.75 (step @p224 :rule eq-symm :args (@t217 @t149)) % 39.53/39.75 (step @p225 :rule trans :premises (@p224 @p223)) % 39.53/39.75 (step @p226 :rule eq-symm :args (@t147 @t107)) % 39.53/39.75 (step @p227 :rule refl :args (@t191)) % 39.53/39.75 (step @p228 :rule nary_cong :premises (@p227 @p226 @p225) :args (@t218)) % 39.53/39.75 (step @p229 :rule refl :args (@t220)) % 39.53/39.75 (step @p230 :rule cong :premises (@p229 @p228) :args ((=> @t220 @t218))) % 39.53/39.75 (assume-push @p704 @t220) % 39.53/39.75 (step @p232 :rule instantiate :premises (@p220) :args ((@list @t147 @t146))) % 39.53/39.75 (step-pop @p705 :rule scope :premises (@p232)) % 39.53/39.75 (step @p233 :rule process_scope :premises (@p705) :args (@t218)) % 39.53/39.75 (step @p235 :rule eq_resolve :premises (@p233 @p230)) % 39.53/39.75 (step @p236 :rule implies_elim :premises (@p235)) % 39.53/39.75 (step @p237 :rule chain_m_resolution :premises (@p236 @p220) :args (@t224 @t189 @t225)) % 39.53/39.75 (step @p238 :rule instantiate :premises (@p124) :args ((@list @t151 @t147))) % 39.53/39.75 (step @p239 :rule eq-symm :args (@t227 @t228)) % 39.53/39.75 (step @p240 :rule cong :premises (@p239) :args (@t229)) % 39.53/39.75 (step @p241 :rule refl :args (@t230)) % 39.53/39.75 (step @p242 :rule nary_cong :premises (@p241 @p240) :args (@t231)) % 39.53/39.75 (step @p243 :rule eq-symm :args (@t226 @t64)) % 39.53/39.75 (step @p244 :rule cong :premises (@p243 @p242) :args (@t232)) % 39.53/39.75 (step @p245 :rule refl :args (@t233)) % 39.53/39.75 (step @p246 :rule refl :args (@t159)) % 39.53/39.75 (step @p247 :rule nary_cong :premises (@p246 @p245 @p244) :args (@t234)) % 39.53/39.75 (step @p248 :rule cong :premises (@p247) :args (@t236)) % 39.53/39.75 (step @p249 :rule quant-merge-prenex :args ((= (forall @t42 @t238) @t236))) % 39.53/39.75 (step @p250 :rule alpha_equiv :args (@t239 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39.53/39.75 (step @p488 :rule reordering :premises (@p487) :args ((or @t246 @t319))) % 39.53/39.75 (step @p489 :rule chain_m_resolution :premises (@p488 @p486) :args (@t246 @t189 @t320)) % 39.53/39.75 (step @p490 :rule cnf_or_pos :args (@t325)) % 39.53/39.75 (step @p491 :rule reordering :premises (@p490) :args ((or @t324 @t323 (not @t325)))) % 39.53/39.75 (step @p492 :rule chain_m_resolution :premises (@p491 @p489 @p238) :args (@t323 @t180 (@list @t246 @t325))) % 39.53/39.75 (step @p493 :rule aci_norm :args ((= (or @t331 @t330) (or @t159 @t329 @t328 @t327 @t326 @t43)))) % 39.53/39.75 (step @p494 :rule aci_norm :args ((= (or (or @t327 @t326) @t43) @t330))) % 39.53/39.75 (step @p495 :rule refl :args (@t43)) % 39.53/39.75 (step @p496 :rule bool-and-de-morgan :args (@t41 @t44 true)) % 39.53/39.75 (step @p497 :rule nary_cong :premises (@p496 @p495) :args ((or (not @t45) @t43))) % 39.53/39.75 (step @p498 :rule trans :premises (@p497 @p494)) % 39.53/39.75 (step @p499 :rule bool-impl-elim 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(step @p513 :rule instantiate :premises (@p512) :args ((@list @t147 @t332 @t151))) % 39.53/39.75 (step @p514 :rule instantiate :premises (@p124) :args ((@list @t138 @t332))) % 39.53/39.75 (step @p515 :rule cnf_or_pos :args (@t337)) % 39.53/39.75 (step @p516 :rule reordering :premises (@p515) :args ((or @t178 @t336 (not @t337)))) % 39.53/39.75 (step @p517 :rule chain_m_resolution :premises (@p516 @p130 @p514) :args (@t336 @t180 (@list @t177 @t337))) % 39.53/39.75 (step @p518 :rule instantiate :premises (@p146) :args ((@list @t154))) % 39.53/39.75 (step @p519 :rule refl :args (@t338)) % 39.53/39.75 (step @p520 :rule refl :args (@t76)) % 39.53/39.75 (step @p521 :rule cong :premises (@p520 @p127) :args (@t78)) % 39.53/39.75 (step @p522 :rule nary_cong :premises (@p521 @p519) :args (@t339)) % 39.53/39.75 (step @p523 :rule nary_cong :premises (@p140 @p522) :args (@t340)) % 39.53/39.75 (step @p524 :rule cong :premises (@p523) :args ((forall @t3 @t340))) % 39.53/39.75 (step @p525 :rule bool-impl-elim :args (@t80 @t339)) % 39.53/39.75 (step @p526 :rule cong :premises (@p525) :args ((forall @t3 (=> @t80 @t339)))) % 39.53/39.75 (step @p527 :rule eq-symm :args (@t76 tptp.sz00)) % 39.53/39.75 (step @p528 :rule cong :premises (@p527) :args (@t77)) % 39.53/39.75 (step @p529 :rule refl :args (@t78)) % 39.53/39.75 (step @p530 :rule nary_cong :premises (@p529 @p528) :args (@t79)) % 39.53/39.75 (step @p531 :rule refl :args (@t80)) % 39.53/39.75 (step @p532 :rule cong :premises (@p531 @p530) :args (@t81)) % 39.53/39.75 (step @p533 :rule cong :premises (@p532) :args (@t82)) % 39.53/39.75 (step @p534 :rule trans :premises (@p533 @p526)) % 39.53/39.75 (step @p535 :rule trans :premises (@p534 @p524)) % 39.53/39.75 (step @p536 :rule eq_resolve :premises (@p25 @p535)) % 39.53/39.75 (step @p537 :rule instantiate :premises (@p536) :args (@t282)) % 39.53/39.75 (step @p538 :rule cnf_or_pos :args (@t343)) % 39.53/39.75 (step @p539 :rule reordering :premises (@p538) :args ((or @t286 @t342 (not @t343)))) % 39.53/39.75 (step @p540 :rule chain_m_resolution :premises (@p539 @p356 @p537) :args (@t342 @t180 (@list @t285 @t343))) % 39.53/39.75 (step @p541 :rule cnf_and_pos :args (@t342 0)) % 39.53/39.75 (step @p542 :rule reordering :premises (@p541) :args ((or @t341 (not @t342)))) % 39.53/39.75 (step @p543 :rule chain_m_resolution :premises (@p542 @p540) :args (@t341 @t189 (@list @t342))) % 39.53/39.75 (step @p544 :rule cnf_or_pos :args (@t347)) % 39.53/39.75 (step @p545 :rule reordering :premises (@p544) :args ((or @t346 @t345 (not @t347)))) % 39.53/39.75 (step @p546 :rule chain_m_resolution :premises (@p545 @p543 @p518) :args (@t345 @t180 (@list @t341 @t347))) % 39.53/39.75 (step @p547 :rule cnf_and_pos :args (@t345 0)) % 39.53/39.75 (step @p548 :rule reordering :premises (@p547) :args ((or @t335 (not @t345)))) % 39.53/39.75 (step @p549 :rule chain_m_resolution :premises (@p548 @p546) :args (@t335 @t189 (@list @t345))) % 39.53/39.75 (step @p550 :rule cnf_equiv_pos1 :args (@t336)) % 39.53/39.75 (step @p551 :rule reordering :premises (@p550) :args ((or (not @t335) @t334 (not @t336)))) % 39.53/39.75 (step @p552 :rule chain_m_resolution :premises (@p551 @p549 @p517) :args (@t334 @t180 (@list @t335 @t336))) % 39.53/39.75 (step @p553 :rule cnf_and_pos :args (@t334 0)) % 39.53/39.75 (step @p554 :rule reordering :premises (@p553) :args ((or @t333 (not @t334)))) % 39.53/39.75 (step @p555 :rule chain_m_resolution :premises (@p554 @p552) :args (@t333 @t189 (@list @t334))) % 39.53/39.75 (step @p556 :rule refl :args (@t140)) % 39.53/39.75 (step @p557 :rule refl :args (@t348)) % 39.53/39.75 (step @p558 :rule refl :args (@t5)) % 39.53/39.75 (step @p559 :rule cong :premises (@p558 @p127) :args (@t84)) % 39.53/39.75 (step @p560 :rule cong :premises (@p559) :args (@t349)) % 39.53/39.75 (step @p561 :rule nary_cong :premises (@p140 @p560 @p557 @p556) :args (@t350)) % 39.53/39.75 (step @p562 :rule cong :premises (@p561) :args ((forall @t42 @t350))) % 39.53/39.75 (step @p563 :rule aci_norm :args ((= (or (or @t181 @t349) (or @t348 @t140)) @t350))) % 39.53/39.75 (step @p564 :rule bool-impl-elim :args (@t88 @t140)) % 39.53/39.75 (step @p565 :rule bool-and-de-morgan :args (@t80 @t84 true)) % 39.53/39.75 (step @p566 :rule nary_cong :premises (@p565 @p564) :args ((or (not @t85) @t141))) % 39.53/39.75 (step @p567 :rule trans :premises (@p566 @p563)) % 39.53/39.75 (step @p568 :rule bool-impl-elim :args (@t85 @t141)) % 39.53/39.75 (step @p569 :rule trans :premises (@p568 @p567)) % 39.53/39.75 (step @p570 :rule cong :premises (@p569) :args (@t142)) % 39.53/39.75 (step @p571 :rule trans :premises (@p570 @p562)) % 39.53/39.75 (step @p572 :rule eq_resolve :premises (@p82 @p571)) % 39.53/39.75 (step @p573 :rule instantiate :premises (@p572) :args ((@list tptp.xm @t154))) % 39.53/39.75 (step @p574 :rule cong :premises (@p222) :args (@t150)) % 39.53/39.75 (step @p575 :rule refl :args (@t152)) % 39.53/39.75 (step @p576 :rule nary_cong :premises (@p575 @p574) :args (@t153)) % 39.53/39.75 (step @p577 :rule refl :args (@t155)) % 39.53/39.75 (step @p578 :rule cong :premises (@p577 @p576) :args (@t156)) % 39.53/39.75 (step @p579 :rule cong :premises (@p578) :args (@t157)) % 39.53/39.75 (step @p580 :rule eq_resolve :premises (@p86 @p579)) % 39.53/39.75 (step @p581 :rule not_implies_elim1 :premises (@p580)) % 39.53/39.75 (step @p582 :rule cnf_or_pos :args (@t353)) % 39.53/39.75 (step @p583 :rule reordering :premises (@p582) :args ((or @t352 @t186 @t346 @t351 (not @t353)))) % 39.53/39.75 (step @p584 :rule chain_m_resolution :premises (@p583 @p581 @p151 @p543 @p573) :args (@t351 @t354 (@list @t155 @t185 @t341 @t353))) % 39.53/39.75 (step @p585 :rule refl :args (@t132)) % 39.53/39.75 (step @p586 :rule refl :args (@t355)) % 39.53/39.75 (step @p587 :rule cong :premises (@p136) :args (@t356)) % 39.53/39.75 (step @p588 :rule nary_cong :premises (@p140 @p587 @p586 @p585) :args (@t357)) % 39.53/39.75 (step @p589 :rule cong :premises (@p588) :args ((forall @t3 @t357))) % 39.53/39.75 (step @p590 :rule aci_norm :args ((= (or @t181 @t358) @t357))) % 39.53/39.75 (step @p591 :rule aci_norm :args ((= (or (or @t356 @t355) @t132) @t358))) % 39.53/39.75 (step @p592 :rule refl :args (@t132)) % 39.53/39.75 (step @p593 :rule bool-and-de-morgan :args (@t134 @t133 true)) % 39.53/39.75 (step @p594 :rule nary_cong :premises (@p593 @p592) :args ((or (not @t135) @t132))) % 39.53/39.75 (step @p595 :rule trans :premises (@p594 @p591)) % 39.53/39.75 (step @p596 :rule bool-impl-elim :args (@t135 @t132)) % 39.53/39.75 (step @p597 :rule trans :premises (@p596 @p595)) % 39.53/39.75 (step @p598 :rule refl :args (@t181)) % 39.53/39.75 (step @p599 :rule nary_cong :premises (@p598 @p597) :args ((or @t181 @t136))) % 39.53/39.75 (step @p600 :rule trans :premises (@p599 @p590)) % 39.53/39.75 (step @p601 :rule bool-impl-elim :args (@t80 @t136)) % 39.53/39.75 (step @p602 :rule trans :premises (@p601 @p600)) % 39.53/39.75 (step @p603 :rule cong :premises (@p602) :args (@t137)) % 39.53/39.75 (step @p604 :rule trans :premises (@p603 @p589)) % 39.53/39.75 (step @p605 :rule and_elim :premises (@p80) :args (3)) % 39.53/39.75 (step @p606 :rule eq_resolve :premises (@p605 @p604)) % 39.53/39.75 (step @p607 :rule instantiate :premises (@p606) :args (@t282)) % 39.53/39.75 (step @p608 :rule cnf_or_pos :args (@t361)) % 39.53/39.75 (step @p609 :rule reordering :premises (@p608) :args ((or @t286 @t310 @t278 @t360 (not @t361)))) % 39.53/39.75 (step @p610 :rule chain_m_resolution :premises (@p609 @p356 @p362 @p464 @p607) :args (@t360 @t354 (@list @t285 @t283 @t277 @t361))) % 39.53/39.75 (step @p611 :rule cnf_and_pos :args (@t360 0)) % 39.53/39.75 (step @p612 :rule reordering :premises (@p611) :args ((or @t359 (not @t360)))) % 39.53/39.75 (step @p613 :rule chain_m_resolution :premises (@p612 @p610) :args (@t359 @t189 (@list @t360))) % 39.53/39.75 (step @p614 :rule cnf_or_pos :args (@t365)) % 39.53/39.75 (step @p615 :rule reordering :premises (@p614) :args ((or @t152 @t324 @t195 @t362 @t363 @t364 (not @t365)))) % 39.53/39.75 (step @p616 :rule chain_m_resolution :premises (@p615 @p489 @p163 @p613 @p584 @p555 @p513) :args (@t152 (@list false false false false false false) (@list @t246 @t173 @t359 @t351 @t333 @t365))) % 39.53/39.75 (step @p617 :rule cnf_equiv_pos1 :args (@t323)) % 39.53/39.75 (step @p618 :rule reordering :premises (@p617) :args ((or @t366 @t322 (not @t323)))) % 39.53/39.75 (step @p619 :rule chain_m_resolution :premises (@p618 @p616 @p492) :args (@t322 @t180 (@list @t152 @t323))) % 39.53/39.75 (step @p620 :rule cnf_and_pos :args (@t322 1)) % 39.53/39.75 (step @p621 :rule reordering :premises (@p620) :args ((or @t321 (not @t322)))) % 39.53/39.75 (step @p622 :rule chain_m_resolution :premises (@p621 @p619) :args (@t321 @t189 (@list @t322))) % 39.53/39.75 (assume-push @p724 @t321) % 39.53/39.75 (step @p624 :rule instantiate :premises (@p724) :args (@t367)) % 39.53/39.75 (step-pop @p725 :rule scope :premises (@p624)) % 39.53/39.75 (step @p625 :rule process_scope :premises (@p725) :args (@t370)) % 39.53/39.75 (step @p627 :rule implies_elim :premises (@p625)) % 39.53/39.75 (step @p628 :rule chain_m_resolution :premises (@p627 @p622) :args (@t370 @t189 (@list @t321))) % 39.53/39.75 (step @p629 :rule cnf_and_pos :args (@t247 1)) % 39.53/39.75 (step @p630 :rule reordering :premises (@p629) :args ((or @t245 @t319))) % 39.53/39.75 (step @p631 :rule chain_m_resolution :premises (@p630 @p486) :args (@t245 @t189 @t320)) % 39.53/39.75 (step @p632 :rule bool-eq-false :args (@t368)) % 39.53/39.75 (step @p633 :rule absorb :args ((= (and @t253 @t273 false) false))) % 39.53/39.75 (step @p634 :rule cong :premises (@p337) :args (@t371)) % 39.53/39.75 (step @p635 :rule trans :premises (@p634 @p405)) % 39.53/39.75 (step @p636 :rule refl :args (@t273)) % 39.53/39.75 (step @p637 :rule refl :args (@t253)) % 39.53/39.75 (step @p638 :rule nary_cong :premises (@p637 @p636 @p635) :args (@t372)) % 39.53/39.75 (step @p639 :rule trans :premises (@p638 @p633)) % 39.53/39.75 (step @p640 :rule refl :args (@t368)) % 39.53/39.75 (step @p641 :rule cong :premises (@p640 @p639) :args (@t373)) % 39.53/39.75 (step @p642 :rule trans :premises (@p641 @p632)) % 39.53/39.75 (step @p643 :rule refl :args (@t245)) % 39.53/39.75 (step @p644 :rule cong :premises (@p643 @p642) :args ((=> @t245 @t373))) % 39.53/39.75 (assume-push @p726 @t245) % 39.53/39.75 (step @p646 :rule instantiate :premises (@p726) :args (@t367)) % 39.53/39.75 (step-pop @p727 :rule scope :premises (@p646)) % 39.53/39.75 (step @p647 :rule process_scope :premises (@p727) :args (@t373)) % 39.53/39.75 (step @p649 :rule eq_resolve :premises (@p647 @p644)) % 39.53/39.75 (step @p650 :rule implies_elim :premises (@p649)) % 39.53/39.75 (step @p651 :rule chain_m_resolution :premises (@p650 @p631) :args ((not @t368) @t189 (@list @t245))) % 39.53/39.75 (step @p652 :rule cnf_or_pos :args (@t370)) % 39.53/39.75 (step @p653 :rule reordering :premises (@p652) :args ((or @t369 @t368 (not @t370)))) % 39.53/39.75 (step @p654 :rule chain_m_resolution :premises (@p653 @p651 @p628) :args (@t369 @t312 (@list @t368 @t370))) % 39.53/39.75 (step @p655 :rule cnf_and_pos :args (@t217 0)) % 39.53/39.75 (step @p656 :rule reordering :premises (@p655) :args ((or @t216 @t374))) % 39.53/39.75 (step @p657 :rule chain_m_resolution :premises (@p656 @p654) :args (@t374 (@list true) (@list @t216))) % 39.53/39.75 (step @p658 :rule bool-double-not-elim :args (@t221)) % 39.53/39.75 (step @p659 :rule refl :args (@t366)) % 39.53/39.75 (step @p660 :rule nary_cong :premises (@p659 @p658) :args ((or @t366 (not @t375)))) % 39.53/39.75 (step @p661 :rule not_implies_elim2 :premises (@p580)) % 39.53/39.75 (step @p662 :rule not_and :premises (@p661)) % 39.53/39.75 (step @p663 :rule eq_resolve :premises (@p662 @p660)) % 39.53/39.75 (step @p664 :rule reordering :premises (@p663) :args ((or @t221 @t366))) % 39.53/39.75 (step @p665 :rule chain_m_resolution :premises (@p664 @p616) :args (@t221 @t189 (@list @t152))) % 39.53/39.75 (step @p666 :rule cnf_equiv_pos1 :args (@t222)) % 39.53/39.75 (step @p667 :rule reordering :premises (@p666) :args ((or @t375 @t217 @t376))) % 39.53/39.75 (step @p668 :rule chain_m_resolution :premises (@p667 @p665 @p657) :args (@t376 (@list false true) (@list @t221 @t217))) % 39.53/39.75 (step @p669 :rule cnf_or_pos :args (@t224)) % 39.53/39.75 (step @p670 :rule reordering :premises (@p669) :args ((or @t191 @t223 @t222 (not @t224)))) % 39.53/39.75 (step @p671 :rule chain_m_resolution :premises (@p670 @p157 @p668 @p237) :args (@t223 @t313 (@list @t175 @t222 @t224))) % 39.53/39.75 (step @p672 :rule refl :args (@t377)) % 39.53/39.75 (step @p673 :rule bool-double-not-elim :args (@t192)) % 39.53/39.75 (step @p674 :rule refl :args (@t379)) % 39.53/39.75 (step @p675 :rule nary_cong :premises (@p674 @p673 @p672) :args ((or @t379 (not @t193) @t377))) % 39.53/39.75 (assume-push @p728 @t378) % 39.53/39.75 (assume-push @p729 @t223) % 39.53/39.75 (assume-push @p730 @t193) % 39.53/39.75 (step @p679 :rule evaluate :args ((= false true))) % 39.53/39.75 (step @p680 :rule true_intro :premises (@p90)) % 39.53/39.75 (step @p681 :rule symm :premises (@p729)) % 39.53/39.75 (step @p682 :rule cong :premises (@p681) :args (@t192)) % 39.53/39.75 (step @p683 :rule false_intro :premises (@p169)) % 39.53/39.75 (step @p684 :rule symm :premises (@p683)) % 39.53/39.75 (step @p685 :rule trans :premises (@p684 @p682 @p680)) % 39.53/39.75 (step @p686 false :rule eq_resolve :premises (@p685 @p679)) % 39.53/39.75 (step-pop @p731 :rule scope :premises (@p686)) % 39.53/39.75 (step-pop @p732 :rule scope :premises (@p731)) % 39.53/39.75 (step-pop @p733 :rule scope :premises (@p732)) % 39.53/39.75 (step @p687 :rule process_scope :premises (@p733) :args (false)) % 39.53/39.75 (assume-push @p734 @t378) % 39.53/39.75 (assume-push @p735 @t193) % 39.53/39.76 (assume-push @p736 @t223) % 39.53/39.76 (step @p694 :rule and_intro :premises (@p90 @p736 @p169)) % 39.53/39.76 (step-pop @p737 :rule scope :premises (@p694)) % 39.53/39.76 (step-pop @p738 :rule scope :premises (@p737)) % 39.53/39.76 (step-pop @p739 :rule scope :premises (@p738)) % 39.53/39.76 (step @p695 :rule process_scope :premises (@p739) :args (@t380)) % 39.53/39.76 (step @p699 :rule implies_elim :premises (@p695)) % 39.53/39.76 (step @p700 :rule resolution :premises (@p699 @p687) :args (true @t380)) % 39.53/39.76 (step @p701 :rule not_and :premises (@p700)) % 39.53/39.76 (step @p702 :rule eq_resolve :premises (@p701 @p675)) % 39.53/39.76 (step @p703 false :rule chain_m_resolution :premises (@p702 @p671 @p169 @p90) :args (false @t313 (@list @t223 @t192 @t378))) % 39.53/39.76 ) % 39.53/39.76 % SZS output end Proof % 39.53/39.76 % cvc5 exiting %------------------------------------------------------------------------------