%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM563+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:39:51 AM UTC 2026 % Result : Theorem 271.53s 271.85s % Output : Proof 271.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM563+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 11:29:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 271.53/271.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 271.53/271.85 --- Run --no-e-matching --full-saturate-quant at 6... % 271.53/271.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 271.53/271.85 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 271.53/271.85 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 271.53/271.85 --- Run --trigger-sel=max --full-saturate-quant at 15... % 271.53/271.85 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 271.53/271.85 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 271.53/271.85 --- Run --prenex-quant=none --full-saturate-quant at 30... % 271.53/271.85 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 271.53/271.85 --- Run --relevant-triggers --full-saturate-quant at 30... % 271.53/271.85 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 271.53/271.85 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 271.53/271.85 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 271.53/271.85 --- Run --no-cbqi --full-saturate-quant at 9... % 271.53/271.85 % SZS status Theorem % 271.53/271.85 % SZS output start Proof % 271.53/271.85 ( % 271.53/271.85 (declare-sort $$unsorted 0) % 271.53/271.85 (declare-const tptp.sz00 $$unsorted) % 271.53/271.85 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 271.53/271.85 (declare-const tptp.szNzAzT0 $$unsorted) % 271.53/271.85 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 271.53/271.85 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 271.53/271.85 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 271.53/271.85 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 271.53/271.85 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 271.53/271.85 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 271.53/271.85 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 271.53/271.85 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 271.53/271.85 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.xK $$unsorted) % 271.53/271.85 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.xT $$unsorted) % 271.53/271.85 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.xS $$unsorted) % 271.53/271.85 (declare-const tptp.xc $$unsorted) % 271.53/271.85 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.slcrc0 $$unsorted) % 271.53/271.85 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 271.53/271.85 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 271.53/271.85 (define @t1 () (@var "W0" $$unsorted)) % 271.53/271.85 (define @t2 () (tptp.aSet0 @t1)) % 271.53/271.85 (define @t3 () (@list @t1)) % 271.53/271.85 (define @t4 () (tptp.aElement0 @t1)) % 271.53/271.85 (define @t5 () (@var "W1" $$unsorted)) % 271.53/271.85 (define @t6 () (tptp.aElement0 @t5)) % 271.53/271.85 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 271.53/271.85 (define @t8 () (@list @t5)) % 271.53/271.85 (define @t9 () (tptp.isFinite0 @t1)) % 271.53/271.85 (define @t10 () (exists @t8 @t7)) % 271.53/271.85 (define @t11 () (not @t10)) % 271.53/271.85 (define @t12 () (and @t2 @t11)) % 271.53/271.85 (define @t13 () (= @t1 tptp.slcrc0)) % 271.53/271.85 (define @t14 () (= @t13 @t12)) % 271.53/271.85 (define @t15 () (forall @t3 @t14)) % 271.53/271.85 (define @t16 () (tptp.isCountable0 @t1)) % 271.53/271.85 (define @t17 () (not @t9)) % 271.53/271.85 (define @t18 () (and @t2 @t16)) % 271.53/271.85 (define @t19 () (not @t13)) % 271.53/271.85 (define @t20 () (@var "W2" $$unsorted)) % 271.53/271.85 (define @t21 () (tptp.aElementOf0 @t20 @t1)) % 271.53/271.85 (define @t22 () (tptp.aElementOf0 @t20 @t5)) % 271.53/271.85 (define @t23 () (@list @t20)) % 271.53/271.85 (define @t24 () (tptp.aSet0 @t5)) % 271.53/271.85 (define @t25 () (tptp.aSubsetOf0 @t5 @t1)) % 271.53/271.85 (define @t26 () (tptp.isFinite0 @t5)) % 271.53/271.85 (define @t27 () (and @t2 @t9)) % 271.53/271.85 (define @t28 () (= @t1 @t5)) % 271.53/271.85 (define @t29 () (tptp.aSubsetOf0 @t1 @t5)) % 271.53/271.85 (define @t30 () (@list @t1 @t5)) % 271.53/271.85 (define @t31 () (tptp.aSubsetOf0 @t5 @t20)) % 271.53/271.85 (define @t32 () (tptp.aSet0 @t20)) % 271.53/271.85 (define @t33 () (@list @t1 @t5 @t20)) % 271.53/271.85 (define @t34 () (@var "W3" $$unsorted)) % 271.53/271.85 (define @t35 () (= @t34 @t5)) % 271.53/271.85 (define @t36 () (tptp.aElementOf0 @t34 @t1)) % 271.53/271.85 (define @t37 () (tptp.aElement0 @t34)) % 271.53/271.85 (define @t38 () (tptp.aElementOf0 @t34 @t20)) % 271.53/271.85 (define @t39 () (@list @t34)) % 271.53/271.85 (define @t40 () (tptp.sdtpldt0 @t1 @t5)) % 271.53/271.85 (define @t41 () (and @t2 @t6)) % 271.53/271.85 (define @t42 () (tptp.sdtmndt0 @t1 @t5)) % 271.53/271.85 (define @t43 () (tptp.sdtpldt0 @t5 @t1)) % 271.53/271.85 (define @t44 () (tptp.isCountable0 @t5)) % 271.53/271.85 (define @t45 () (and @t24 @t44)) % 271.53/271.85 (define @t46 () (tptp.sdtmndt0 @t5 @t1)) % 271.53/271.85 (define @t47 () (and @t24 @t26)) % 271.53/271.85 (define @t48 () (tptp.szszuzczcdt0 @t1)) % 271.53/271.85 (define @t49 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 271.53/271.85 (define @t50 () (tptp.szszuzczcdt0 @t5)) % 271.53/271.85 (define @t51 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 271.53/271.85 (define @t52 () (and @t49 @t51)) % 271.53/271.85 (define @t53 () (= @t1 tptp.sz00)) % 271.53/271.85 (define @t54 () (tptp.sdtlseqdt0 @t1 @t5)) % 271.53/271.85 (define @t55 () (tptp.sdtlseqdt0 @t5 @t20)) % 271.53/271.85 (define @t56 () (tptp.aElementOf0 @t20 tptp.szNzAzT0)) % 271.53/271.85 (define @t57 () (tptp.sbrdtbr0 @t1)) % 271.53/271.85 (define @t58 () (= @t57 tptp.sz00)) % 271.53/271.85 (define @t59 () (=> @t2 (= @t58 @t13))) % 271.53/271.85 (define @t60 () (forall @t3 @t59)) % 271.53/271.85 (define @t61 () (not @t7)) % 271.53/271.85 (define @t62 () (tptp.sbrdtbr0 @t20)) % 271.53/271.85 (define @t63 () (and @t2 @t51)) % 271.53/271.85 (define @t64 () (tptp.szmzizndt0 @t1)) % 271.53/271.85 (define @t65 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 271.53/271.85 (define @t66 () (tptp.szmzizndt0 @t5)) % 271.53/271.85 (define @t67 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 271.53/271.85 (define @t68 () (tptp.slbdtrb0 @t1)) % 271.53/271.85 (define @t69 () (tptp.slbdtrb0 tptp.sz00)) % 271.53/271.85 (define @t70 () (tptp.slbdtrb0 @t5)) % 271.53/271.85 (define @t71 () (tptp.sbrdtbr0 @t68)) % 271.53/271.85 (define @t72 () (=> @t49 (= @t71 @t1))) % 271.53/271.85 (define @t73 () (forall @t3 @t72)) % 271.53/271.85 (define @t74 () (tptp.sbrdtbr0 @t34)) % 271.53/271.85 (define @t75 () (tptp.aSubsetOf0 @t34 @t1)) % 271.53/271.85 (define @t76 () (tptp.slbdtsldtrb0 @t1 @t5)) % 271.53/271.85 (define @t77 () (tptp.slbdtsldtrb0 @t5 @t1)) % 271.53/271.85 (define @t78 () (tptp.aFunction0 @t1)) % 271.53/271.85 (define @t79 () (tptp.szDzozmdt0 @t1)) % 271.53/271.85 (define @t80 () (tptp.sdtlpdtrp0 @t1 @t5)) % 271.53/271.85 (define @t81 () (tptp.aElementOf0 @t5 @t79)) % 271.53/271.85 (define @t82 () (tptp.sdtlpdtrp0 @t1 @t34)) % 271.53/271.85 (define @t83 () (tptp.aElementOf0 @t34 @t79)) % 271.53/271.85 (define @t84 () (tptp.sdtlbdtrb0 @t1 @t5)) % 271.53/271.85 (define @t85 () (and @t78 @t6)) % 271.53/271.85 (define @t86 () (@var "W4" $$unsorted)) % 271.53/271.85 (define @t87 () (tptp.aElementOf0 @t86 @t5)) % 271.53/271.85 (define @t88 () (@list @t86)) % 271.53/271.85 (define @t89 () (tptp.sdtlcdtrc0 @t1 @t5)) % 271.53/271.85 (define @t90 () (tptp.aSubsetOf0 @t5 @t79)) % 271.53/271.85 (define @t91 () (tptp.sdtlcdtrc0 @t1 @t79)) % 271.53/271.85 (define @t92 () (tptp.aElementOf0 @t80 @t91)) % 271.53/271.85 (define @t93 () (forall @t8 (=> @t81 @t92))) % 271.53/271.85 (define @t94 () (=> @t78 @t93)) % 271.53/271.85 (define @t95 () (forall @t3 @t94)) % 271.53/271.85 (define @t96 () (tptp.aElementOf0 @t34 @t5)) % 271.53/271.85 (define @t97 () (tptp.szDzozmdt0 @t20)) % 271.53/271.85 (define @t98 () (tptp.aFunction0 @t20)) % 271.53/271.85 (define @t99 () (tptp.szDzizrdt0 @t1)) % 271.53/271.85 (define @t100 () (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 271.53/271.85 (define @t101 () (tptp.isCountable0 tptp.xS)) % 271.53/271.85 (define @t102 () (tptp.aSet0 tptp.xS)) % 271.53/271.85 (define @t103 () (tptp.szDzozmdt0 tptp.xc)) % 271.53/271.85 (define @t104 () (tptp.sdtlcdtrc0 tptp.xc @t103)) % 271.53/271.85 (define @t105 () (tptp.aElementOf0 @t1 tptp.xT)) % 271.53/271.85 (define @t106 () (tptp.aElementOf0 @t1 @t104)) % 271.53/271.85 (define @t107 () (forall @t3 (=> @t106 @t105))) % 271.53/271.85 (define @t108 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 271.53/271.85 (define @t109 () (tptp.aElementOf0 @t1 @t103)) % 271.53/271.85 (define @t110 () (= @t57 tptp.xK)) % 271.53/271.85 (define @t111 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 271.53/271.85 (define @t112 () (tptp.aElementOf0 @t5 tptp.xS)) % 271.53/271.85 (define @t113 () (forall @t8 (=> @t7 @t112))) % 271.53/271.85 (define @t114 () (and @t2 @t113)) % 271.53/271.85 (define @t115 () (or @t114 @t111)) % 271.53/271.85 (define @t116 () (and @t115 @t110)) % 271.53/271.85 (define @t117 () (=> @t116 @t109)) % 271.53/271.85 (define @t118 () (and @t2 @t113 @t111 @t110)) % 271.53/271.85 (define @t119 () (=> @t109 @t118)) % 271.53/271.85 (define @t120 () (and @t119 @t117)) % 271.53/271.85 (define @t121 () (forall @t3 @t120)) % 271.53/271.85 (define @t122 () (tptp.aFunction0 tptp.xc)) % 271.53/271.85 (define @t123 () (@var "W5" $$unsorted)) % 271.53/271.85 (define @t124 () (@var "W6" $$unsorted)) % 271.53/271.85 (define @t125 () (@list @t123)) % 271.53/271.85 (define @t126 () (tptp.aElementOf0 @t34 tptp.xT)) % 271.53/271.85 (define @t127 () (tptp.sdtlcdtrc0 @t20 @t97)) % 271.53/271.85 (define @t128 () (tptp.aElementOf0 @t34 @t127)) % 271.53/271.85 (define @t129 () (tptp.aElementOf0 @t34 @t97)) % 271.53/271.85 (define @t130 () (= @t74 @t1)) % 271.53/271.85 (define @t131 () (tptp.aSubsetOf0 @t34 @t5)) % 271.53/271.85 (define @t132 () (forall @t88 (=> (tptp.aElementOf0 @t86 @t34) @t87))) % 271.53/271.85 (define @t133 () (tptp.aSet0 @t34)) % 271.53/271.85 (define @t134 () (tptp.sdtlpdtrp0 tptp.xc @t20)) % 271.53/271.85 (define @t135 () (tptp.aElementOf0 @t20 (tptp.slbdtsldtrb0 @t5 tptp.xK))) % 271.53/271.85 (define @t136 () (= @t62 tptp.xK)) % 271.53/271.85 (define @t137 () (tptp.aSubsetOf0 @t20 @t5)) % 271.53/271.85 (define @t138 () (forall @t39 (=> @t38 @t96))) % 271.53/271.85 (define @t139 () (and @t32 @t138 @t137 @t136 @t135)) % 271.53/271.85 (define @t140 () (=> @t139 (= @t134 @t1))) % 271.53/271.85 (define @t141 () (forall @t23 @t140)) % 271.53/271.85 (define @t142 () (tptp.aSubsetOf0 @t5 tptp.xS)) % 271.53/271.85 (define @t143 () (tptp.aElementOf0 @t20 tptp.xS)) % 271.53/271.85 (define @t144 () (forall @t23 (=> @t22 @t143))) % 271.53/271.85 (define @t145 () (and @t24 @t144)) % 271.53/271.85 (define @t146 () (or @t145 @t142)) % 271.53/271.85 (define @t147 () (and @t146 @t44 @t141)) % 271.53/271.85 (define @t148 () (exists @t8 @t147)) % 271.53/271.85 (define @t149 () (and @t105 @t148)) % 271.53/271.85 (define @t150 () (exists @t3 @t149)) % 271.53/271.85 (define @t151 () (=> (= tptp.xK tptp.sz00) @t150)) % 271.53/271.85 (define @t152 () (not @t151)) % 271.53/271.85 (define @t153 () (= @t1 @t134)) % 271.53/271.85 (define @t154 () (@var "BOUND_VARIABLE_9725" $$unsorted)) % 271.53/271.85 (define @t155 () (not @t136)) % 271.53/271.85 (define @t156 () (not @t38)) % 271.53/271.85 (define @t157 () (not @t32)) % 271.53/271.85 (define @t158 () (not (forall @t23 (or @t157 (not (forall @t39 (or @t156 (tptp.aElementOf0 @t34 @t154)))) (not (tptp.aSubsetOf0 @t20 @t154)) @t155 (not (tptp.aElementOf0 @t20 (tptp.slbdtsldtrb0 @t154 tptp.xK))) @t153)))) % 271.53/271.85 (define @t159 () (not (tptp.isCountable0 @t154))) % 271.53/271.85 (define @t160 () (and (or (not (tptp.aSet0 @t154)) (not (forall @t23 (or (not (tptp.aElementOf0 @t20 @t154)) @t143)))) (not (tptp.aSubsetOf0 @t154 tptp.xS)))) % 271.53/271.85 (define @t161 () (not @t105)) % 271.53/271.85 (define @t162 () (or @t161 @t160 @t159 @t158)) % 271.53/271.85 (define @t163 () (@list @t1 @t154)) % 271.53/271.85 (define @t164 () (forall @t163 @t162)) % 271.53/271.85 (define @t165 () (not @t164)) % 271.53/271.85 (define @t166 () (=> (= tptp.xK tptp.xK) @t165)) % 271.53/271.85 (define @t167 () (or @t160 @t159 @t158)) % 271.53/271.85 (define @t168 () (or @t161 @t167)) % 271.53/271.85 (define @t169 () (forall @t163 @t168)) % 271.53/271.85 (define @t170 () (@list @t154)) % 271.53/271.85 (define @t171 () (forall @t170 @t168)) % 271.53/271.85 (define @t172 () (forall @t170 @t167)) % 271.53/271.85 (define @t173 () (@list @t5)) % 271.53/271.85 (define @t174 () (or @t161 @t172)) % 271.53/271.85 (define @t175 () (not @t135)) % 271.53/271.85 (define @t176 () (not @t137)) % 271.53/271.85 (define @t177 () (forall @t39 (or @t156 @t96))) % 271.53/271.85 (define @t178 () (not @t177)) % 271.53/271.85 (define @t179 () (or @t157 @t178 @t176 @t155 @t175 @t153)) % 271.53/271.85 (define @t180 () (forall @t23 @t179)) % 271.53/271.85 (define @t181 () (not @t180)) % 271.53/271.85 (define @t182 () (not @t44)) % 271.53/271.85 (define @t183 () (not @t142)) % 271.53/271.85 (define @t184 () (forall @t23 (or (not @t22) @t143))) % 271.53/271.85 (define @t185 () (forall @t8 (or (and (or (not @t24) (not @t184)) @t183) @t182 @t181))) % 271.53/271.85 (define @t186 () (not @t185)) % 271.53/271.85 (define @t187 () (and @t105 @t186)) % 271.53/271.85 (define @t188 () (forall @t3 (not @t187))) % 271.53/271.85 (define @t189 () (not @t188)) % 271.53/271.85 (define @t190 () (and @t24 @t184)) % 271.53/271.85 (define @t191 () (or @t190 @t142)) % 271.53/271.85 (define @t192 () (not @t191)) % 271.53/271.85 (define @t193 () (or @t192 @t182 @t181)) % 271.53/271.85 (define @t194 () (and @t191 @t44 @t180)) % 271.53/271.85 (define @t195 () (forall @t8 (not @t194))) % 271.53/271.85 (define @t196 () (not @t195)) % 271.53/271.85 (define @t197 () (or @t157 @t178 @t176 @t155 @t175)) % 271.53/271.85 (define @t198 () (and @t32 @t177 @t137 @t136 @t135)) % 271.53/271.85 (define @t199 () (= tptp.sz00 tptp.xK)) % 271.53/271.85 (define @t200 () (=> @t199 @t165)) % 271.53/271.85 (define @t201 () (tptp.slbdtrb0 tptp.xK)) % 271.53/271.85 (define @t202 () (tptp.sdtlpdtrp0 tptp.xc @t201)) % 271.53/271.85 (define @t203 () (not (tptp.aElementOf0 @t20 @t108))) % 271.53/271.85 (define @t204 () (not (tptp.aSubsetOf0 @t20 tptp.xS))) % 271.53/271.85 (define @t205 () (tptp.aElementOf0 @t34 tptp.xS)) % 271.53/271.85 (define @t206 () (not (forall @t39 (or @t156 @t205)))) % 271.53/271.85 (define @t207 () (or @t157 @t206 @t204 @t155 @t203 (= @t202 @t134))) % 271.53/271.85 (define @t208 () (forall @t23 @t207)) % 271.53/271.85 (define @t209 () (not @t208)) % 271.53/271.85 (define @t210 () (not @t101)) % 271.53/271.85 (define @t211 () (not (tptp.aSubsetOf0 tptp.xS tptp.xS))) % 271.53/271.85 (define @t212 () (not @t102)) % 271.53/271.85 (define @t213 () (forall @t23 (or (not @t143) @t143))) % 271.53/271.85 (define @t214 () (not @t213)) % 271.53/271.85 (define @t215 () (or @t212 @t214)) % 271.53/271.85 (define @t216 () (and @t215 @t211)) % 271.53/271.85 (define @t217 () (tptp.aElementOf0 @t202 tptp.xT)) % 271.53/271.85 (define @t218 () (not @t217)) % 271.53/271.85 (define @t219 () (or @t218 @t216 @t210 @t209)) % 271.53/271.85 (define @t220 () (forall @t23 (or @t157 @t206 @t204 @t155 @t203 (= @t134 @t202)))) % 271.53/271.85 (define @t221 () (not @t220)) % 271.53/271.85 (define @t222 () (and @t212 @t211)) % 271.53/271.85 (define @t223 () (or @t218 @t222 @t210 @t221)) % 271.53/271.85 (define @t224 () (@list false)) % 271.53/271.85 (define @t225 () (@var "BOUND_VARIABLE_9041" $$unsorted)) % 271.53/271.85 (define @t226 () (tptp.aElementOf0 (tptp.sdtlpdtrp0 @t1 @t225) @t91)) % 271.53/271.85 (define @t227 () (not (tptp.aElementOf0 @t225 @t79))) % 271.53/271.85 (define @t228 () (not @t78)) % 271.53/271.85 (define @t229 () (or @t227 @t226)) % 271.53/271.85 (define @t230 () (or @t228 @t229)) % 271.53/271.85 (define @t231 () (forall (@list @t1 @t225) @t230)) % 271.53/271.85 (define @t232 () (@list @t225)) % 271.53/271.85 (define @t233 () (forall @t232 @t230)) % 271.53/271.85 (define @t234 () (forall @t232 @t229)) % 271.53/271.85 (define @t235 () (or @t228 @t234)) % 271.53/271.85 (define @t236 () (forall @t8 (or (not @t81) @t92))) % 271.53/271.85 (define @t237 () (@var "BOUND_VARIABLE_9214" $$unsorted)) % 271.53/271.85 (define @t238 () (tptp.aElementOf0 @t237 @t103)) % 271.53/271.85 (define @t239 () (tptp.sbrdtbr0 @t237)) % 271.53/271.85 (define @t240 () (not (= @t239 tptp.xK))) % 271.53/271.85 (define @t241 () (and (or (not (tptp.aSet0 @t237)) (not (forall @t8 (or (not (tptp.aElementOf0 @t5 @t237)) @t112)))) (not (tptp.aSubsetOf0 @t237 tptp.xS)))) % 271.53/271.85 (define @t242 () (or @t241 @t240 @t238)) % 271.53/271.85 (define @t243 () (forall (@list @t237) @t242)) % 271.53/271.85 (define @t244 () (@var "BOUND_VARIABLE_9198" $$unsorted)) % 271.53/271.85 (define @t245 () (tptp.sbrdtbr0 @t244)) % 271.53/271.85 (define @t246 () (= tptp.xK @t245)) % 271.53/271.85 (define @t247 () (tptp.aSubsetOf0 @t244 tptp.xS)) % 271.53/271.85 (define @t248 () (@var "BOUND_VARIABLE_9239" $$unsorted)) % 271.53/271.85 (define @t249 () (or (not (tptp.aElementOf0 @t248 @t244)) (tptp.aElementOf0 @t248 tptp.xS))) % 271.53/271.85 (define @t250 () (tptp.aSet0 @t244)) % 271.53/271.85 (define @t251 () (and @t250 @t249 @t247 @t246)) % 271.53/271.85 (define @t252 () (not (tptp.aElementOf0 @t244 @t103))) % 271.53/271.85 (define @t253 () (or @t252 @t251)) % 271.53/271.85 (define @t254 () (@list @t248)) % 271.53/271.85 (define @t255 () (forall @t254 @t253)) % 271.53/271.85 (define @t256 () (@list @t244)) % 271.53/271.85 (define @t257 () (forall @t254 @t246)) % 271.53/271.85 (define @t258 () (forall @t254 @t247)) % 271.53/271.85 (define @t259 () (forall @t254 @t249)) % 271.53/271.85 (define @t260 () (forall @t254 @t250)) % 271.53/271.85 (define @t261 () (and @t260 @t259 @t258 @t257)) % 271.53/271.85 (define @t262 () (forall @t254 @t251)) % 271.53/271.85 (define @t263 () (or @t252 @t262)) % 271.53/271.85 (define @t264 () (forall @t8 (or (not (tptp.aElementOf0 @t5 @t244)) @t112))) % 271.53/271.85 (define @t265 () (and @t250 @t264 @t247 (= @t245 tptp.xK))) % 271.53/271.85 (define @t266 () (or @t252 @t265)) % 271.53/271.85 (define @t267 () (forall @t256 @t266)) % 271.53/271.85 (define @t268 () (not @t110)) % 271.53/271.85 (define @t269 () (not @t111)) % 271.53/271.85 (define @t270 () (forall @t8 (or @t61 @t112))) % 271.53/271.85 (define @t271 () (not @t2)) % 271.53/271.85 (define @t272 () (and (or @t271 (not @t270)) @t269)) % 271.53/271.85 (define @t273 () (or @t272 @t268 @t109)) % 271.53/271.85 (define @t274 () (forall @t3 @t273)) % 271.53/271.85 (define @t275 () (@list @t1)) % 271.53/271.85 (define @t276 () (and @t2 @t270 @t111 @t110)) % 271.53/271.85 (define @t277 () (or (not @t109) @t276)) % 271.53/271.85 (define @t278 () (forall @t3 @t277)) % 271.53/271.85 (define @t279 () (and @t278 @t274)) % 271.53/271.85 (define @t280 () (and @t2 @t270)) % 271.53/271.85 (define @t281 () (or @t280 @t111)) % 271.53/271.85 (define @t282 () (and @t281 @t110)) % 271.53/271.85 (define @t283 () (and (=> @t109 @t276) (=> @t282 @t109))) % 271.53/271.85 (define @t284 () (@list @t201)) % 271.53/271.85 (define @t285 () (= @t1 @t71)) % 271.53/271.85 (define @t286 () (= tptp.xK (tptp.sbrdtbr0 @t201))) % 271.53/271.85 (define @t287 () (not @t100)) % 271.53/271.85 (define @t288 () (or @t287 @t286)) % 271.53/271.85 (define @t289 () (@list false false)) % 271.53/271.85 (define @t290 () (= @t1 @t201)) % 271.53/271.85 (define @t291 () (forall @t8 @t61)) % 271.53/271.85 (define @t292 () (and @t2 @t291)) % 271.53/271.85 (define @t293 () (= @t13 @t292)) % 271.53/271.85 (define @t294 () (not (tptp.aElementOf0 @t5 @t201))) % 271.53/271.85 (define @t295 () (forall @t8 @t294)) % 271.53/271.85 (define @t296 () (tptp.aSet0 @t201)) % 271.53/271.85 (define @t297 () (and @t296 @t295)) % 271.53/271.85 (define @t298 () (= @t201 @t201)) % 271.53/271.85 (define @t299 () (forall @t3 (= @t292 @t290))) % 271.53/271.85 (define @t300 () (= @t297 @t298)) % 271.53/271.85 (define @t301 () (not @t297)) % 271.53/271.85 (define @t302 () (@list @t297)) % 271.53/271.85 (define @t303 () (forall @t8 (or @t294 @t112))) % 271.53/271.85 (define @t304 () (@quantifiers_skolemize @t303 0)) % 271.53/271.85 (define @t305 () (tptp.aElementOf0 @t304 @t201)) % 271.53/271.85 (define @t306 () (not @t305)) % 271.53/271.85 (define @t307 () (or @t306 (tptp.aElementOf0 @t304 tptp.xS))) % 271.53/271.85 (define @t308 () (@list true)) % 271.53/271.85 (define @t309 () (not @t307)) % 271.53/271.85 (define @t310 () (not @t303)) % 271.53/271.85 (define @t311 () (not @t296)) % 271.53/271.85 (define @t312 () (or @t311 @t310)) % 271.53/271.85 (define @t313 () (not @t312)) % 271.53/271.85 (define @t314 () (and @t312 (not (tptp.aSubsetOf0 @t201 tptp.xS)))) % 271.53/271.85 (define @t315 () (not @t314)) % 271.53/271.85 (define @t316 () (tptp.aElementOf0 @t201 @t103)) % 271.53/271.85 (define @t317 () (not @t286)) % 271.53/271.85 (define @t318 () (or @t314 @t317 @t316)) % 271.53/271.85 (define @t319 () (tptp.aElementOf0 @t202 @t104)) % 271.53/271.85 (define @t320 () (not @t316)) % 271.53/271.85 (define @t321 () (not @t122)) % 271.53/271.85 (define @t322 () (or @t321 @t320 @t319)) % 271.53/271.85 (define @t323 () (not @t319)) % 271.53/271.85 (define @t324 () (or @t323 @t217)) % 271.53/271.85 (define @t325 () (not @t222)) % 271.53/271.85 (define @t326 () (@quantifiers_skolemize @t220 0)) % 271.53/271.85 (define @t327 () (tptp.sdtlpdtrp0 tptp.xc @t326)) % 271.53/271.85 (define @t328 () (= @t202 @t327)) % 271.53/271.85 (define @t329 () (not (tptp.aElementOf0 @t326 @t108))) % 271.53/271.85 (define @t330 () (tptp.sbrdtbr0 @t326)) % 271.53/271.85 (define @t331 () (= tptp.xK @t330)) % 271.53/271.85 (define @t332 () (not @t331)) % 271.53/271.85 (define @t333 () (not (tptp.aSubsetOf0 @t326 tptp.xS))) % 271.53/271.85 (define @t334 () (not (forall @t39 (or (not (tptp.aElementOf0 @t34 @t326)) @t205)))) % 271.53/271.85 (define @t335 () (tptp.aSet0 @t326)) % 271.53/271.85 (define @t336 () (not @t335)) % 271.53/271.85 (define @t337 () (or @t336 @t334 @t333 @t332 @t329 @t328)) % 271.53/271.85 (define @t338 () (not @t337)) % 271.53/271.85 (define @t339 () (= @t330 tptp.xK)) % 271.53/271.85 (define @t340 () (not @t339)) % 271.53/271.85 (define @t341 () (or @t336 @t334 @t333 @t340 @t329 (= @t327 @t202))) % 271.53/271.85 (define @t342 () (not @t341)) % 271.53/271.85 (define @t343 () (@list @t337)) % 271.53/271.85 (define @t344 () (= @t290 (= tptp.xK @t57))) % 271.53/271.85 (define @t345 () (or @t271 @t344)) % 271.53/271.85 (define @t346 () (= tptp.sz00 @t57)) % 271.53/271.85 (define @t347 () (= @t13 @t346)) % 271.53/271.85 (define @t348 () (or @t271 @t347)) % 271.53/271.85 (define @t349 () (= @t339 (= @t326 @t201))) % 271.53/271.85 (define @t350 () (or @t336 @t349)) % 271.53/271.85 (define @t351 () (forall @t3 (or @t271 (= @t110 @t290)))) % 271.53/271.85 (define @t352 () (= @t201 @t326)) % 271.53/271.85 (define @t353 () (= @t331 @t352)) % 271.53/271.85 (define @t354 () (or @t336 @t353)) % 271.53/271.85 (assume @p1 (forall @t3 (=> @t2 true))) % 271.53/271.85 (assume @p2 (forall @t3 (=> @t4 true))) % 271.53/271.85 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 271.53/271.85 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 271.53/271.85 (assume @p5 @t15) % 271.53/271.85 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 271.53/271.85 (assume @p7 (forall @t3 (=> @t2 (=> @t16 true)))) % 271.53/271.85 (assume @p8 (forall @t3 (=> @t18 @t17))) % 271.53/271.85 (assume @p9 (forall @t3 (=> @t18 @t19))) % 271.53/271.85 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t25 (and @t24 (forall @t23 (=> @t22 @t21)))))))) % 271.53/271.85 (assume @p11 (forall @t3 (=> @t27 (forall @t8 (=> @t25 @t26))))) % 271.53/271.85 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 271.53/271.85 (assume @p13 (forall @t30 (=> (and @t2 @t24) (=> (and @t29 @t25) @t28)))) % 271.53/271.85 (assume @p14 (forall @t33 (=> (and @t2 @t24 @t32) (=> (and @t29 @t31) (tptp.aSubsetOf0 @t1 @t20))))) % 271.53/271.85 (assume @p15 (forall @t30 (=> @t41 (forall @t23 (= (= @t20 @t40) (and @t32 (forall @t39 (= @t38 (and @t37 (or @t36 @t35)))))))))) % 271.53/271.85 (assume @p16 (forall @t30 (=> @t41 (forall @t23 (= (= @t20 @t42) (and @t32 (forall @t39 (= @t38 (and @t37 @t36 (not @t35)))))))))) % 271.53/271.85 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t42 @t5) @t1)))))) % 271.53/271.85 (assume @p18 (forall @t30 (=> (and @t4 @t24) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t43 @t1) @t5))))) % 271.53/271.85 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isCountable0 @t43)))))) % 271.53/271.85 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isCountable0 @t46)))))) % 271.53/271.85 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t47 (tptp.isFinite0 @t43)))))) % 271.53/271.85 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t47 (tptp.isFinite0 @t46)))))) % 271.53/271.85 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 271.53/271.85 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 271.53/271.85 (assume @p25 (forall @t3 (=> @t49 (and (tptp.aElementOf0 @t48 tptp.szNzAzT0) (not (= @t48 tptp.sz00)))))) % 271.53/271.85 (assume @p26 (forall @t30 (=> @t52 (=> (= @t48 @t50) @t28)))) % 271.53/271.85 (assume @p27 (forall @t3 (=> @t49 (or @t53 (exists @t8 (and @t51 (= @t1 @t50))))))) % 271.53/271.85 (assume @p28 (forall @t3 (=> @t49 (not (= @t1 @t48))))) % 271.53/271.85 (assume @p29 (forall @t30 (=> @t52 (=> @t54 true)))) % 271.53/271.85 (assume @p30 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 271.53/271.85 (assume @p31 (forall @t3 (=> @t49 (not (tptp.sdtlseqdt0 @t48 tptp.sz00))))) % 271.53/271.85 (assume @p32 (forall @t30 (=> @t52 (= @t54 (tptp.sdtlseqdt0 @t48 @t50))))) % 271.53/271.85 (assume @p33 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 @t1 @t48)))) % 271.53/271.85 (assume @p34 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 @t1 @t1)))) % 271.53/271.85 (assume @p35 (forall @t30 (=> @t52 (=> (and @t54 (tptp.sdtlseqdt0 @t5 @t1)) @t28)))) % 271.53/271.85 (assume @p36 (forall @t33 (=> (and @t49 @t51 @t56) (=> (and @t54 @t55) (tptp.sdtlseqdt0 @t1 @t20))))) % 271.53/271.85 (assume @p37 (forall @t30 (=> @t52 (or @t54 (tptp.sdtlseqdt0 @t50 @t1))))) % 271.53/271.85 (assume @p38 (forall @t30 (=> @t52 (=> (tptp.iLess0 @t1 @t5) true)))) % 271.53/271.85 (assume @p39 (forall @t3 (=> @t49 (tptp.iLess0 @t1 @t48)))) % 271.53/271.85 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t57)))) % 271.53/271.85 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t57 tptp.szNzAzT0) @t9)))) % 271.53/271.85 (assume @p42 @t60) % 271.53/271.85 (assume @p43 (forall @t3 (=> @t27 (forall @t8 (=> @t6 (=> @t61 (= (tptp.sbrdtbr0 @t40) (tptp.szszuzczcdt0 @t57)))))))) % 271.53/271.85 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t42)) @t57)))))) % 271.53/271.85 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t25) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t57)))))) % 271.53/271.85 (assume @p46 (forall @t30 (=> @t63 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t57)) (exists @t23 (and (tptp.aSubsetOf0 @t20 @t1) (= @t62 @t5))))))) % 271.53/271.85 (assume @p47 (forall @t3 (=> (and @t65 @t19) (forall @t8 (= (= @t5 @t64) (and @t7 (forall @t23 (=> @t21 @t55)))))))) % 271.53/271.85 (assume @p48 (forall @t3 (=> (and @t65 @t9 @t19) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t23 (=> @t21 (tptp.sdtlseqdt0 @t20 @t5))))))))) % 271.53/271.85 (assume @p49 (forall @t30 (=> (and @t65 @t67 @t19 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t64 @t5) (tptp.aElementOf0 @t66 @t1)) (= @t64 @t66))))) % 271.53/271.85 (assume @p50 (forall @t3 (=> @t49 (forall @t8 (= (= @t5 @t68) (and @t24 (forall @t23 (= @t22 (and @t56 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t20) @t1)))))))))) % 271.53/271.85 (assume @p51 (forall @t3 (=> @t49 (tptp.isFinite0 @t68)))) % 271.53/271.85 (assume @p52 (= @t69 tptp.slcrc0)) % 271.53/271.85 (assume @p53 (forall @t30 (=> @t52 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t50)) (or (tptp.aElementOf0 @t1 @t70) @t28))))) % 271.53/271.85 (assume @p54 (forall @t30 (=> @t52 (= @t54 (tptp.aSubsetOf0 @t68 @t70))))) % 271.53/271.85 (assume @p55 (forall @t3 (=> (and @t65 @t9) (exists @t8 (and @t51 (tptp.aSubsetOf0 @t1 @t70)))))) % 271.53/271.85 (assume @p56 @t73) % 271.53/271.85 (assume @p57 (forall @t30 (=> @t63 (forall @t23 (= (= @t20 @t76) (and @t32 (forall @t39 (= @t38 (and @t75 (= @t74 @t5)))))))))) % 271.53/271.85 (assume @p58 (forall @t3 (=> @t27 (forall @t8 (=> @t51 (tptp.isFinite0 @t76)))))) % 271.53/271.85 (assume @p59 (forall @t3 (=> (and @t2 @t17) (forall @t8 (=> @t51 (not (= @t76 tptp.slcrc0))))))) % 271.53/271.85 (assume @p60 (forall @t3 (=> @t18 (forall @t8 (=> (and @t51 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t76)))))) % 271.53/271.85 (assume @p61 (forall @t3 (=> @t49 (forall (@list @t5 @t20) (=> (and @t24 @t32 (not @t53)) (=> (and (tptp.aSubsetOf0 @t77 (tptp.slbdtsldtrb0 @t20 @t1)) (not (= @t77 tptp.slcrc0))) @t31)))))) % 271.53/271.85 (assume @p62 (forall @t30 (=> @t63 (forall @t23 (=> (and (tptp.aSubsetOf0 @t20 @t76) (tptp.isFinite0 @t20)) (exists @t39 (and @t75 (tptp.isFinite0 @t34) (tptp.aSubsetOf0 @t20 (tptp.slbdtsldtrb0 @t34 @t5))))))))) % 271.53/271.85 (assume @p63 (forall @t3 (=> @t78 true))) % 271.53/271.85 (assume @p64 (forall @t3 (=> @t78 (tptp.aSet0 @t79)))) % 271.53/271.85 (assume @p65 (forall @t3 (=> @t78 (forall @t8 (=> @t81 (tptp.aElement0 @t80)))))) % 271.53/271.85 (assume @p66 (forall @t30 (=> @t85 (forall @t23 (= (= @t20 @t84) (and @t32 (forall @t39 (= @t38 (and @t83 (= @t82 @t5)))))))))) % 271.53/271.85 (assume @p67 (forall @t30 (=> @t85 (tptp.aSubsetOf0 @t84 @t79)))) % 271.53/271.85 (assume @p68 (forall @t3 (=> @t78 (forall @t8 (=> @t90 (forall @t23 (= (= @t20 @t89) (and @t32 (forall @t39 (= @t38 (exists @t88 (and @t87 (= (tptp.sdtlpdtrp0 @t1 @t86) @t34))))))))))))) % 271.53/271.85 (assume @p69 @t95) % 271.53/271.85 (assume @p70 (forall @t3 (=> @t78 (forall @t8 (=> @t90 (forall @t23 (= (= @t20 (tptp.sdtexdt0 @t1 @t5)) (and @t98 (= @t97 @t5) (forall @t39 (=> @t96 (= (tptp.sdtlpdtrp0 @t20 @t34) @t82))))))))))) % 271.53/271.85 (assume @p71 (forall @t3 (=> @t78 (forall @t8 (=> (and @t90 @t44) (=> (forall (@list @t20 @t34) (=> (and (tptp.aElementOf0 @t20 @t79) @t83 (not (= @t20 @t34))) (not (= (tptp.sdtlpdtrp0 @t1 @t20) @t82)))) (tptp.isCountable0 @t89))))))) % 271.53/271.85 (assume @p72 (forall @t3 (=> @t78 (=> (and (tptp.isCountable0 @t79) (tptp.isFinite0 @t91)) (and (tptp.aElement0 @t99) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t99))))))) % 271.53/271.85 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 271.53/271.85 (assume @p74 @t100) % 271.53/271.85 (assume @p75 (and @t102 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xS) @t49)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) @t101)) % 271.53/271.85 (assume @p76 (and @t122 @t121 (= @t103 @t108) (tptp.aSet0 @t104) (forall @t3 (= @t106 (exists @t8 (and (tptp.aElementOf0 @t5 @t103) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) @t107 (tptp.aSubsetOf0 @t104 tptp.xT))) % 271.53/271.85 (assume @p77 (forall @t3 (=> @t49 (forall @t8 (=> (and (or (and @t24 (forall @t23 (=> @t22 @t56))) @t67) @t44) (forall @t23 (=> (and @t98 (or (forall @t39 (and (=> @t129 (and (or (and @t133 @t132) @t131) @t130)) (=> (and @t133 @t132 @t131 @t130) @t129))) (= @t97 @t77)) (=> (and (tptp.aSet0 @t127) (forall @t39 (= @t128 (exists @t88 (and (tptp.aElementOf0 @t86 @t97) (= (tptp.sdtlpdtrp0 @t20 @t86) @t34)))))) (or (forall @t39 (=> @t128 @t126)) (tptp.aSubsetOf0 @t127 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t39 (and @t126 (exists @t88 (and (tptp.aSet0 @t86) (forall @t125 (=> (tptp.aElementOf0 @t123 @t86) (tptp.aElementOf0 @t123 @t5))) (tptp.aSubsetOf0 @t86 @t5) (tptp.isCountable0 @t86) (forall @t125 (=> (or (and (or (and (tptp.aSet0 @t123) (forall (@list @t124) (=> (tptp.aElementOf0 @t124 @t123) (tptp.aElementOf0 @t124 @t86)))) (tptp.aSubsetOf0 @t123 @t86)) (= (tptp.sbrdtbr0 @t123) @t1)) (tptp.aElementOf0 @t123 (tptp.slbdtsldtrb0 @t86 @t1))) (= (tptp.sdtlpdtrp0 @t20 @t123) @t34))))))))))))))) % 271.53/271.85 (assume @p78 @t152) % 271.53/271.85 (assume @p79 true) % 271.53/271.85 (step @p80 :rule bool-double-not-elim :args (@t164)) % 271.53/271.85 (step @p81 :rule bool-impl-true2 :args (@t165)) % 271.53/271.85 (step @p82 :rule refl :args (@t165)) % 271.53/271.85 (step @p83 :rule eq-refl :args (tptp.xK)) % 271.53/271.85 (step @p84 :rule cong :premises (@p83 @p82) :args (@t166)) % 271.53/271.85 (step @p85 :rule trans :premises (@p84 @p81)) % 271.53/271.85 (step @p86 :rule cong :premises (@p85) :args ((not @t166))) % 271.53/271.85 (step @p87 :rule trans :premises (@p86 @p80)) % 271.53/271.85 (step @p88 :rule refl :args (tptp.xK)) % 271.53/271.85 (step @p89 :rule aci_norm :args ((= @t168 @t162))) % 271.53/271.85 (step @p90 :rule cong :premises (@p89) :args (@t169)) % 271.53/271.85 (step @p91 :rule quant-merge-prenex :args ((= (forall @t3 @t171) @t169))) % 271.53/271.85 (step @p92 :rule alpha_equiv :args (@t172 (@list @t154) @t173)) % 271.53/271.85 (step @p93 :rule refl :args (@t161)) % 271.53/271.85 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t174)) % 271.53/271.85 (step @p95 :rule quant-miniscope-or :args ((= @t171 @t174))) % 271.53/271.85 (step @p96 :rule trans :premises (@p95 @p94)) % 271.53/271.85 (step @p97 :rule symm :premises (@p96)) % 271.53/271.85 (step @p98 :rule cong :premises (@p97) :args ((forall @t3 (or @t161 @t185)))) % 271.53/271.85 (step @p99 :rule trans :premises (@p98 @p91)) % 271.53/271.85 (step @p100 :rule trans :premises (@p99 @p90)) % 271.53/271.85 (step @p101 :rule bool-double-not-elim :args (@t185)) % 271.53/271.85 (step @p102 :rule nary_cong :premises (@p93 @p101) :args ((or @t161 (not @t186)))) % 271.53/271.85 (step @p103 :rule bool-and-de-morgan :args (@t105 @t186 true)) % 271.53/271.85 (step @p104 :rule trans :premises (@p103 @p102)) % 271.53/271.85 (step @p105 :rule cong :premises (@p104) :args (@t188)) % 271.53/271.85 (step @p106 :rule trans :premises (@p105 @p100)) % 271.53/271.85 (step @p107 :rule cong :premises (@p106) :args (@t189)) % 271.53/271.85 (step @p108 :rule exists-elim :args ((= (exists @t3 @t187) @t189))) % 271.53/271.85 (step @p109 :rule trans :premises (@p108 @p107)) % 271.53/271.85 (step @p110 :rule refl :args (@t181)) % 271.53/271.85 (step @p111 :rule refl :args (@t182)) % 271.53/271.85 (step @p112 :rule refl :args (@t183)) % 271.53/271.85 (step @p113 :rule bool-and-de-morgan :args (@t24 @t184 true)) % 271.53/271.85 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((and (not @t190) @t183))) % 271.53/271.85 (step @p115 :rule bool-or-de-morgan :args (@t190 @t142 false)) % 271.53/271.85 (step @p116 :rule trans :premises (@p115 @p114)) % 271.53/271.85 (step @p117 :rule nary_cong :premises (@p116 @p111 @p110) :args (@t193)) % 271.53/271.85 (step @p118 :rule aci_norm :args ((= (or @t192 (or @t182 @t181)) @t193))) % 271.53/271.85 (step @p119 :rule bool-and-de-morgan :args (@t44 @t180 true)) % 271.53/271.85 (step @p120 :rule refl :args (@t192)) % 271.53/271.85 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t192 (not (and @t44 @t180))))) % 271.53/271.85 (step @p122 :rule bool-and-de-morgan :args (@t191 @t44 (and @t180))) % 271.53/271.85 (step @p123 :rule trans :premises (@p122 @p121)) % 271.53/271.85 (step @p124 :rule trans :premises (@p123 @p118)) % 271.53/271.85 (step @p125 :rule trans :premises (@p124 @p117)) % 271.53/271.85 (step @p126 :rule cong :premises (@p125) :args (@t195)) % 271.53/271.85 (step @p127 :rule cong :premises (@p126) :args (@t196)) % 271.53/271.85 (step @p128 :rule exists-elim :args ((= (exists @t8 @t194) @t196))) % 271.53/271.85 (step @p129 :rule trans :premises (@p128 @p127)) % 271.53/271.85 (step @p130 :rule aci_norm :args ((= (or @t197 @t153) @t179))) % 271.53/271.85 (step @p131 :rule refl :args (@t153)) % 271.53/271.85 (step @p132 :rule aci_norm :args ((= (or @t157 (or @t178 (or @t176 (or @t155 @t175)))) @t197))) % 271.53/271.85 (step @p133 :rule bool-and-de-morgan :args (@t136 @t135 true)) % 271.53/271.85 (step @p134 :rule refl :args (@t176)) % 271.53/271.85 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t176 (not (and @t136 @t135))))) % 271.53/271.85 (step @p136 :rule bool-and-de-morgan :args (@t137 @t136 (and @t135))) % 271.53/271.85 (step @p137 :rule trans :premises (@p136 @p135)) % 271.53/271.85 (step @p138 :rule refl :args (@t178)) % 271.53/271.85 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t178 (not (and @t137 @t136 @t135))))) % 271.53/271.85 (step @p140 :rule bool-and-de-morgan :args (@t177 @t137 (and @t136 @t135))) % 271.53/271.85 (step @p141 :rule trans :premises (@p140 @p139)) % 271.53/271.85 (step @p142 :rule refl :args (@t157)) % 271.53/271.85 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t157 (not (and @t177 @t137 @t136 @t135))))) % 271.53/271.85 (step @p144 :rule bool-and-de-morgan :args (@t32 @t177 (and @t137 @t136 @t135))) % 271.53/271.85 (step @p145 :rule trans :premises (@p144 @p143)) % 271.53/271.85 (step @p146 :rule trans :premises (@p145 @p132)) % 271.53/271.85 (step @p147 :rule nary_cong :premises (@p146 @p131) :args ((or (not @t198) @t153))) % 271.53/271.85 (step @p148 :rule trans :premises (@p147 @p130)) % 271.53/271.85 (step @p149 :rule bool-impl-elim :args (@t198 @t153)) % 271.53/271.85 (step @p150 :rule trans :premises (@p149 @p148)) % 271.53/271.85 (step @p151 :rule cong :premises (@p150) :args ((forall @t23 (=> @t198 @t153)))) % 271.53/271.85 (step @p152 :rule eq-symm :args (@t134 @t1)) % 271.53/271.85 (step @p153 :rule refl :args (@t135)) % 271.53/271.85 (step @p154 :rule refl :args (@t136)) % 271.53/271.85 (step @p155 :rule refl :args (@t137)) % 271.53/271.85 (step @p156 :rule bool-impl-elim :args (@t38 @t96)) % 271.53/271.85 (step @p157 :rule cong :premises (@p156) :args (@t138)) % 271.53/271.85 (step @p158 :rule refl :args (@t32)) % 271.53/271.85 (step @p159 :rule nary_cong :premises (@p158 @p157 @p155 @p154 @p153) :args (@t139)) % 271.53/271.85 (step @p160 :rule cong :premises (@p159 @p152) :args (@t140)) % 271.53/271.85 (step @p161 :rule cong :premises (@p160) :args (@t141)) % 271.53/271.85 (step @p162 :rule trans :premises (@p161 @p151)) % 271.53/271.85 (step @p163 :rule refl :args (@t44)) % 271.53/271.85 (step @p164 :rule refl :args (@t142)) % 271.53/271.85 (step @p165 :rule bool-impl-elim :args (@t22 @t143)) % 271.53/271.85 (step @p166 :rule cong :premises (@p165) :args (@t144)) % 271.53/271.85 (step @p167 :rule refl :args (@t24)) % 271.53/271.85 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t145)) % 271.53/271.85 (step @p169 :rule nary_cong :premises (@p168 @p164) :args (@t146)) % 271.53/271.85 (step @p170 :rule nary_cong :premises (@p169 @p163 @p162) :args (@t147)) % 271.53/271.85 (step @p171 :rule cong :premises (@p170) :args (@t148)) % 271.53/271.85 (step @p172 :rule trans :premises (@p171 @p129)) % 271.53/271.85 (step @p173 :rule refl :args (@t105)) % 271.53/271.85 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t149)) % 271.53/271.85 (step @p175 :rule cong :premises (@p174) :args (@t150)) % 271.53/271.85 (step @p176 :rule trans :premises (@p175 @p109)) % 271.53/271.85 (step @p177 :rule eq-symm :args (tptp.xK tptp.sz00)) % 271.53/271.85 (step @p178 :rule cong :premises (@p177 @p176) :args (@t151)) % 271.53/271.85 (step @p179 :rule cong :premises (@p178) :args (@t152)) % 271.53/271.85 (step @p180 :rule eq_resolve :premises (@p78 @p179)) % 271.53/271.85 (step @p181 :rule not_implies_elim1 :premises (@p180)) % 271.53/271.85 (step @p182 :rule cong :premises (@p181 @p88) :args (@t199)) % 271.53/271.85 (step @p183 :rule cong :premises (@p182 @p82) :args (@t200)) % 271.53/271.85 (step @p184 :rule cong :premises (@p183) :args ((not @t200))) % 271.53/271.85 (step @p185 :rule trans :premises (@p184 @p87)) % 271.53/271.85 (step @p186 :rule trans :premises (@p179 @p185)) % 271.53/271.85 (step @p187 :rule eq_resolve :premises (@p78 @p186)) % 271.53/271.85 (step @p188 :rule eq-symm :args (@t202 @t134)) % 271.53/271.85 (step @p189 :rule refl :args (@t203)) % 271.53/271.85 (step @p190 :rule refl :args (@t155)) % 271.53/271.85 (step @p191 :rule refl :args (@t204)) % 271.53/271.85 (step @p192 :rule refl :args (@t206)) % 271.53/271.85 (step @p193 :rule refl :args (@t157)) % 271.53/271.85 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191 @p190 @p189 @p188) :args (@t207)) % 271.53/271.85 (step @p195 :rule cong :premises (@p194) :args (@t208)) % 271.53/271.85 (step @p196 :rule cong :premises (@p195) :args (@t209)) % 271.53/271.85 (step @p197 :rule refl :args (@t210)) % 271.53/271.85 (step @p198 :rule refl :args (@t211)) % 271.53/271.85 (step @p199 :rule aci_norm :args ((= (or @t212 false) @t212))) % 271.53/271.85 (step @p200 :rule evaluate :args ((not true))) % 271.53/271.85 (step @p201 :rule quant-unused-vars :args ((= (forall @t23 true) true))) % 271.53/271.85 (step @p202 :rule bool-or-taut2 :args (false @t143 false false)) % 271.53/271.85 (step @p203 :rule cong :premises (@p202) :args (@t213)) % 271.53/271.85 (step @p204 :rule trans :premises (@p203 @p201)) % 271.53/271.85 (step @p205 :rule cong :premises (@p204) :args (@t214)) % 271.53/271.85 (step @p206 :rule trans :premises (@p205 @p200)) % 271.53/271.85 (step @p207 :rule refl :args (@t212)) % 271.53/271.85 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t215)) % 271.53/271.85 (step @p209 :rule trans :premises (@p208 @p199)) % 271.53/271.85 (step @p210 :rule nary_cong :premises (@p209 @p198) :args (@t216)) % 271.53/271.85 (step @p211 :rule refl :args (@t218)) % 271.53/271.85 (step @p212 :rule nary_cong :premises (@p211 @p210 @p197 @p196) :args (@t219)) % 271.53/271.85 (step @p213 :rule refl :args (@t164)) % 271.53/271.85 (step @p214 :rule cong :premises (@p213 @p212) :args ((=> @t164 @t219))) % 271.53/271.85 (assume-push @p516 @t164) % 271.53/271.85 (step @p216 :rule instantiate :premises (@p187) :args ((@list @t202 tptp.xS))) % 271.53/271.85 (step-pop @p517 :rule scope :premises (@p216)) % 271.53/271.85 (step @p217 :rule process_scope :premises (@p517) :args (@t219)) % 271.53/271.85 (step @p219 :rule eq_resolve :premises (@p217 @p214)) % 271.53/271.85 (step @p220 :rule implies_elim :premises (@p219)) % 271.53/271.85 (step @p221 :rule chain_m_resolution :premises (@p220 @p187) :args (@t223 @t224 (@list @t164))) % 271.53/271.85 (step @p222 :rule bool-impl-elim :args (@t106 @t105)) % 271.53/271.85 (step @p223 :rule cong :premises (@p222) :args (@t107)) % 271.53/271.85 (step @p224 :rule and_elim :premises (@p76) :args (5)) % 271.53/271.85 (step @p225 :rule eq_resolve :premises (@p224 @p223)) % 271.53/271.85 (step @p226 :rule instantiate :premises (@p225) :args ((@list @t202))) % 271.53/271.85 (step @p227 :rule aci_norm :args ((= @t230 (or @t228 @t227 @t226)))) % 271.53/271.85 (step @p228 :rule cong :premises (@p227) :args (@t231)) % 271.53/271.85 (step @p229 :rule quant-merge-prenex :args ((= (forall @t3 @t233) @t231))) % 271.53/271.85 (step @p230 :rule alpha_equiv :args (@t234 (@list @t225) @t173)) % 271.53/271.85 (step @p231 :rule refl :args (@t228)) % 271.53/271.85 (step @p232 :rule nary_cong :premises (@p231 @p230) :args (@t235)) % 271.53/271.85 (step @p233 :rule quant-miniscope-or :args ((= @t233 @t235))) % 271.53/271.85 (step @p234 :rule trans :premises (@p233 @p232)) % 271.53/271.85 (step @p235 :rule symm :premises (@p234)) % 271.53/271.85 (step @p236 :rule cong :premises (@p235) :args ((forall @t3 (or @t228 @t236)))) % 271.53/271.85 (step @p237 :rule trans :premises (@p236 @p229)) % 271.53/271.85 (step @p238 :rule trans :premises (@p237 @p228)) % 271.53/271.85 (step @p239 :rule bool-impl-elim :args (@t78 @t236)) % 271.53/271.85 (step @p240 :rule cong :premises (@p239) :args ((forall @t3 (=> @t78 @t236)))) % 271.53/271.85 (step @p241 :rule trans :premises (@p240 @p238)) % 271.53/271.85 (step @p242 :rule bool-impl-elim :args (@t81 @t92)) % 271.53/271.85 (step @p243 :rule cong :premises (@p242) :args (@t93)) % 271.53/271.85 (step @p244 :rule refl :args (@t78)) % 271.53/271.85 (step @p245 :rule cong :premises (@p244 @p243) :args (@t94)) % 271.53/271.85 (step @p246 :rule cong :premises (@p245) :args (@t95)) % 271.53/271.85 (step @p247 :rule trans :premises (@p246 @p241)) % 271.53/271.85 (step @p248 :rule eq_resolve :premises (@p69 @p247)) % 271.53/271.85 (step @p249 :rule instantiate :premises (@p248) :args ((@list tptp.xc @t201))) % 271.53/271.85 (step @p250 :rule refl :args (@t238)) % 271.53/271.85 (step @p251 :rule eq-symm :args (@t239 tptp.xK)) % 271.53/271.85 (step @p252 :rule cong :premises (@p251) :args (@t240)) % 271.53/271.85 (step @p253 :rule refl :args (@t241)) % 271.53/271.85 (step @p254 :rule nary_cong :premises (@p253 @p252 @p250) :args (@t242)) % 271.53/271.85 (step @p255 :rule cong :premises (@p254) :args (@t243)) % 271.53/271.85 (step @p256 :rule quant-merge-prenex :args ((= (forall @t256 @t255) (forall (@list @t244 @t248) @t253)))) % 271.53/271.85 (step @p257 :rule quant-unused-vars :args ((= @t257 @t246))) % 271.53/271.85 (step @p258 :rule quant-unused-vars :args ((= @t258 @t247))) % 271.53/271.85 (step @p259 :rule alpha_equiv :args (@t259 (@list @t248) @t173)) % 271.53/271.85 (step @p260 :rule quant-unused-vars :args ((= @t260 @t250))) % 271.53/271.85 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258 @p257) :args (@t261)) % 271.53/271.85 (step @p262 :rule quant-miniscope-and :args ((= @t262 @t261))) % 271.53/271.85 (step @p263 :rule trans :premises (@p262 @p261)) % 271.53/271.85 (step @p264 :rule refl :args (@t252)) % 271.53/271.85 (step @p265 :rule nary_cong :premises (@p264 @p263) :args (@t263)) % 271.53/271.85 (step @p266 :rule quant-miniscope-or :args ((= @t255 @t263))) % 271.53/271.85 (step @p267 :rule trans :premises (@p266 @p265)) % 271.53/271.85 (step @p268 :rule symm :premises (@p267)) % 271.53/271.85 (step @p269 :rule cong :premises (@p268) :args ((forall @t256 (or @t252 (and @t250 @t264 @t247 @t246))))) % 271.53/271.85 (step @p270 :rule trans :premises (@p269 @p256)) % 271.53/271.85 (step @p271 :rule eq-symm :args (@t245 tptp.xK)) % 271.53/271.85 (step @p272 :rule refl :args 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(@p469 @p463)) % 271.53/271.85 (step @p471 :rule trans :premises (@p470 @p461)) % 271.53/271.85 (step @p472 :rule eq_resolve :premises (@p42 @p471)) % 271.53/271.85 (step @p473 :rule eq-symm :args (@t326 @t201)) % 271.53/271.85 (step @p474 :rule cong :premises (@p429 @p473) :args (@t349)) % 271.53/271.85 (step @p475 :rule nary_cong :premises (@p433 @p474) :args (@t350)) % 271.53/271.85 (step @p476 :rule refl :args (@t351)) % 271.53/271.85 (step @p477 :rule cong :premises (@p476 @p475) :args ((=> @t351 @t350))) % 271.53/271.85 (assume-push @p524 @t351) % 271.53/271.85 (step @p479 :rule instantiate :premises (@p472) :args ((@list @t326))) % 271.53/271.85 (step-pop @p525 :rule scope :premises (@p479)) % 271.53/271.85 (step @p480 :rule process_scope :premises (@p525) :args (@t350)) % 271.53/271.85 (step @p482 :rule eq_resolve :premises (@p480 @p477)) % 271.53/271.85 (step @p483 :rule implies_elim :premises (@p482)) % 271.53/271.85 (step @p484 :rule chain_m_resolution :premises (@p483 @p472) :args (@t354 @t224 (@list @t351))) % 271.53/271.85 (step @p485 :rule bool-double-not-elim :args (@t335)) % 271.53/271.86 (step @p486 :rule refl :args (@t337)) % 271.53/271.86 (step @p487 :rule nary_cong :premises (@p486 @p485) :args ((or @t337 (not @t336)))) % 271.53/271.86 (step @p488 :rule cnf_or_neg :args (@t337 0)) % 271.53/271.86 (step @p489 :rule eq_resolve :premises (@p488 @p487)) % 271.53/271.86 (step @p490 :rule reordering :premises (@p489) :args ((or @t335 @t337))) % 271.53/271.86 (step @p491 :rule chain_m_resolution :premises (@p490 @p445) :args (@t335 @t308 @t343)) % 271.53/271.86 (step @p492 :rule cnf_or_pos :args (@t354)) % 271.53/271.86 (step @p493 :rule reordering :premises (@p492) :args ((or @t336 @t353 (not @t354)))) % 271.53/271.86 (step @p494 :rule chain_m_resolution :premises (@p493 @p491 @p484) :args (@t353 @t289 (@list @t335 @t354))) % 271.53/271.86 (step @p495 :rule bool-double-not-elim :args (@t331)) % 271.53/271.86 (step @p496 :rule nary_cong :premises (@p486 @p495) :args ((or @t337 (not @t332)))) % 271.53/271.86 (step @p497 :rule cnf_or_neg :args (@t337 3)) % 271.53/271.86 (step @p498 :rule eq_resolve :premises (@p497 @p496)) % 271.53/271.86 (step @p499 :rule reordering :premises (@p498) :args ((or @t331 @t337))) % 271.53/271.86 (step @p500 :rule chain_m_resolution :premises (@p499 @p445) :args (@t331 @t308 @t343)) % 271.53/271.86 (step @p501 :rule cnf_equiv_pos1 :args (@t353)) % 271.53/271.86 (step @p502 :rule reordering :premises (@p501) :args ((or @t332 @t352 (not @t353)))) % 271.53/271.86 (step @p503 :rule chain_m_resolution :premises (@p502 @p500 @p494) :args (@t352 @t289 (@list @t331 @t353))) % 271.53/271.86 (assume-push @p526 @t352) % 271.53/271.86 (assume-push @p527 @t352) % 271.53/271.86 (step @p506 :rule refl :args (tptp.xc)) % 271.53/271.86 (step @p507 :rule cong :premises (@p506 @p526) :args (@t202)) % 271.53/271.86 (step-pop @p528 :rule scope :premises (@p507)) % 271.53/271.86 (step @p508 :rule process_scope :premises (@p528) :args (@t328)) % 271.53/271.86 (step @p510 :rule modus_ponens :premises (@p526 @p508)) % 271.53/271.86 (step-pop @p529 :rule scope :premises (@p510)) % 271.53/271.86 (step @p511 :rule process_scope :premises (@p529) :args (@t328)) % 271.53/271.86 (step @p513 :rule implies_elim :premises (@p511)) % 271.53/271.86 (step @p514 :rule reordering :premises (@p513) :args ((or @t328 (not @t352)))) % 271.53/271.86 (step @p515 false :rule chain_m_resolution :premises (@p514 @p503 @p447) :args (false (@list false true) (@list @t352 @t328))) % 271.53/271.86 ) % 271.53/271.86 % SZS output end Proof % 271.53/271.86 % cvc5 exiting %------------------------------------------------------------------------------