%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM581+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:54 AM UTC 2026 % Result : Theorem 3.94s 4.19s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM581+3 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 11:33:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 3.94/4.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.94/4.19 % SZS status Theorem % 3.94/4.19 % SZS output start Proof % 3.94/4.19 ( % 3.94/4.19 (declare-sort $$unsorted 0) % 3.94/4.19 (declare-const tptp.xQ $$unsorted) % 3.94/4.19 (declare-const tptp.xi $$unsorted) % 3.94/4.19 (declare-const tptp.xN $$unsorted) % 3.94/4.19 (declare-const tptp.sz00 $$unsorted) % 3.94/4.19 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 3.94/4.19 (declare-const tptp.szNzAzT0 $$unsorted) % 3.94/4.19 (declare-const tptp.xk $$unsorted) % 3.94/4.19 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 3.94/4.19 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 3.94/4.19 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 3.94/4.19 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 3.94/4.19 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 3.94/4.19 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 3.94/4.19 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 3.94/4.19 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 3.94/4.19 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.xK $$unsorted) % 3.94/4.19 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.xT $$unsorted) % 3.94/4.19 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.xS $$unsorted) % 3.94/4.19 (declare-const tptp.xc $$unsorted) % 3.94/4.19 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.slcrc0 $$unsorted) % 3.94/4.19 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 3.94/4.19 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 3.94/4.19 (define @t1 () (@var "W0" $$unsorted)) % 3.94/4.19 (define @t2 () (tptp.aSet0 @t1)) % 3.94/4.19 (define @t3 () (@list @t1)) % 3.94/4.19 (define @t4 () (tptp.aElement0 @t1)) % 3.94/4.19 (define @t5 () (@var "W1" $$unsorted)) % 3.94/4.19 (define @t6 () (tptp.aElement0 @t5)) % 3.94/4.19 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 3.94/4.19 (define @t8 () (@list @t5)) % 3.94/4.19 (define @t9 () (tptp.isFinite0 @t1)) % 3.94/4.19 (define @t10 () (= @t1 tptp.slcrc0)) % 3.94/4.19 (define @t11 () (tptp.isCountable0 @t1)) % 3.94/4.19 (define @t12 () (not @t9)) % 3.94/4.19 (define @t13 () (and @t2 @t11)) % 3.94/4.19 (define @t14 () (not @t10)) % 3.94/4.19 (define @t15 () (@var "W2" $$unsorted)) % 3.94/4.19 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 3.94/4.19 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 3.94/4.19 (define @t18 () (@list @t15)) % 3.94/4.19 (define @t19 () (forall @t18 (=> @t17 @t16))) % 3.94/4.19 (define @t20 () (tptp.aSet0 @t5)) % 3.94/4.19 (define @t21 () (and @t20 @t19)) % 3.94/4.19 (define @t22 () (tptp.aSubsetOf0 @t5 @t1)) % 3.94/4.19 (define @t23 () (= @t22 @t21)) % 3.94/4.19 (define @t24 () (forall @t8 @t23)) % 3.94/4.19 (define @t25 () (=> @t2 @t24)) % 3.94/4.19 (define @t26 () (forall @t3 @t25)) % 3.94/4.19 (define @t27 () (tptp.isFinite0 @t5)) % 3.94/4.19 (define @t28 () (and @t2 @t9)) % 3.94/4.19 (define @t29 () (= @t1 @t5)) % 3.94/4.19 (define @t30 () (tptp.aSubsetOf0 @t1 @t5)) % 3.94/4.19 (define @t31 () (@list @t1 @t5)) % 3.94/4.19 (define @t32 () (tptp.aSubsetOf0 @t5 @t15)) % 3.94/4.19 (define @t33 () (tptp.aSet0 @t15)) % 3.94/4.19 (define @t34 () (@list @t1 @t5 @t15)) % 3.94/4.19 (define @t35 () (@var "W3" $$unsorted)) % 3.94/4.19 (define @t36 () (= @t35 @t5)) % 3.94/4.19 (define @t37 () (tptp.aElementOf0 @t35 @t1)) % 3.94/4.19 (define @t38 () (tptp.aElement0 @t35)) % 3.94/4.19 (define @t39 () (tptp.aElementOf0 @t35 @t15)) % 3.94/4.19 (define @t40 () (@list @t35)) % 3.94/4.19 (define @t41 () (tptp.sdtpldt0 @t1 @t5)) % 3.94/4.19 (define @t42 () (and @t2 @t6)) % 3.94/4.19 (define @t43 () (tptp.sdtmndt0 @t1 @t5)) % 3.94/4.19 (define @t44 () (tptp.sdtpldt0 @t5 @t1)) % 3.94/4.19 (define @t45 () (tptp.isCountable0 @t5)) % 3.94/4.19 (define @t46 () (and @t20 @t45)) % 3.94/4.19 (define @t47 () (tptp.sdtmndt0 @t5 @t1)) % 3.94/4.19 (define @t48 () (and @t20 @t27)) % 3.94/4.19 (define @t49 () (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 3.94/4.19 (define @t50 () (tptp.szszuzczcdt0 @t1)) % 3.94/4.19 (define @t51 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 3.94/4.19 (define @t52 () (tptp.szszuzczcdt0 @t5)) % 3.94/4.19 (define @t53 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 3.94/4.19 (define @t54 () (and @t51 @t53)) % 3.94/4.19 (define @t55 () (= @t1 tptp.sz00)) % 3.94/4.19 (define @t56 () (tptp.sdtlseqdt0 @t1 @t5)) % 3.94/4.19 (define @t57 () (tptp.sdtlseqdt0 tptp.sz00 @t1)) % 3.94/4.19 (define @t58 () (forall @t3 (=> @t51 @t57))) % 3.94/4.19 (define @t59 () (tptp.sdtlseqdt0 @t5 @t1)) % 3.94/4.19 (define @t60 () (tptp.sdtlseqdt0 @t5 @t15)) % 3.94/4.19 (define @t61 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 3.94/4.19 (define @t62 () (tptp.sbrdtbr0 @t1)) % 3.94/4.19 (define @t63 () (and @t2 @t53)) % 3.94/4.19 (define @t64 () (tptp.szmzizndt0 @t1)) % 3.94/4.19 (define @t65 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 3.94/4.19 (define @t66 () (tptp.szmzizndt0 @t5)) % 3.94/4.19 (define @t67 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 3.94/4.19 (define @t68 () (tptp.slbdtrb0 @t1)) % 3.94/4.19 (define @t69 () (tptp.slbdtrb0 @t5)) % 3.94/4.19 (define @t70 () (tptp.sbrdtbr0 @t35)) % 3.94/4.19 (define @t71 () (tptp.aSubsetOf0 @t35 @t1)) % 3.94/4.19 (define @t72 () (tptp.slbdtsldtrb0 @t1 @t5)) % 3.94/4.19 (define @t73 () (tptp.slbdtsldtrb0 @t5 @t1)) % 3.94/4.19 (define @t74 () (tptp.aFunction0 @t1)) % 3.94/4.19 (define @t75 () (tptp.szDzozmdt0 @t1)) % 3.94/4.19 (define @t76 () (tptp.sdtlpdtrp0 @t1 @t5)) % 3.94/4.19 (define @t77 () (tptp.aElementOf0 @t5 @t75)) % 3.94/4.19 (define @t78 () (tptp.sdtlpdtrp0 @t1 @t35)) % 3.94/4.19 (define @t79 () (tptp.aElementOf0 @t35 @t75)) % 3.94/4.19 (define @t80 () (tptp.sdtlbdtrb0 @t1 @t5)) % 3.94/4.19 (define @t81 () (and @t74 @t6)) % 3.94/4.19 (define @t82 () (@var "W4" $$unsorted)) % 3.94/4.19 (define @t83 () (tptp.aElementOf0 @t82 @t5)) % 3.94/4.19 (define @t84 () (@list @t82)) % 3.94/4.19 (define @t85 () (tptp.sdtlcdtrc0 @t1 @t5)) % 3.94/4.19 (define @t86 () (tptp.aSubsetOf0 @t5 @t75)) % 3.94/4.19 (define @t87 () (tptp.sdtlcdtrc0 @t1 @t75)) % 3.94/4.19 (define @t88 () (tptp.szDzozmdt0 @t15)) % 3.94/4.19 (define @t89 () (tptp.aFunction0 @t15)) % 3.94/4.19 (define @t90 () (tptp.szDzizrdt0 @t1)) % 3.94/4.19 (define @t91 () (tptp.aElementOf0 @t1 tptp.xS)) % 3.94/4.19 (define @t92 () (tptp.szDzozmdt0 tptp.xc)) % 3.94/4.19 (define @t93 () (tptp.sdtlcdtrc0 tptp.xc @t92)) % 3.94/4.19 (define @t94 () (tptp.aElementOf0 @t1 @t93)) % 3.94/4.19 (define @t95 () (tptp.aElementOf0 @t1 @t92)) % 3.94/4.19 (define @t96 () (= @t62 tptp.xK)) % 3.94/4.19 (define @t97 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 3.94/4.19 (define @t98 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 3.94/4.19 (define @t99 () (@var "W5" $$unsorted)) % 3.94/4.19 (define @t100 () (@var "W6" $$unsorted)) % 3.94/4.19 (define @t101 () (@list @t99)) % 3.94/4.19 (define @t102 () (tptp.aElementOf0 @t35 tptp.xT)) % 3.94/4.19 (define @t103 () (tptp.sdtlcdtrc0 @t15 @t88)) % 3.94/4.19 (define @t104 () (tptp.aElementOf0 @t35 @t103)) % 3.94/4.19 (define @t105 () (tptp.aElementOf0 @t35 @t88)) % 3.94/4.19 (define @t106 () (= @t70 @t1)) % 3.94/4.19 (define @t107 () (tptp.aSubsetOf0 @t35 @t5)) % 3.94/4.19 (define @t108 () (forall @t84 (=> (tptp.aElementOf0 @t82 @t35) @t83))) % 3.94/4.19 (define @t109 () (tptp.aSet0 @t35)) % 3.94/4.19 (define @t110 () (tptp.sdtlpdtrp0 tptp.xN @t50)) % 3.94/4.19 (define @t111 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 3.94/4.19 (define @t112 () (tptp.szmzizndt0 @t111)) % 3.94/4.19 (define @t113 () (tptp.sdtmndt0 @t111 @t112)) % 3.94/4.19 (define @t114 () (tptp.aElementOf0 @t5 @t113)) % 3.94/4.19 (define @t115 () (tptp.aElementOf0 @t5 @t111)) % 3.94/4.19 (define @t116 () (tptp.aElementOf0 @t112 @t111)) % 3.94/4.19 (define @t117 () (tptp.isCountable0 @t111)) % 3.94/4.19 (define @t118 () (tptp.aSubsetOf0 @t111 tptp.szNzAzT0)) % 3.94/4.19 (define @t119 () (forall @t8 (=> @t115 @t53))) % 3.94/4.19 (define @t120 () (tptp.aSet0 @t111)) % 3.94/4.19 (define @t121 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 3.94/4.19 (define @t122 () (and @t120 @t119 @t118 @t117)) % 3.94/4.19 (define @t123 () (=> @t51 @t122)) % 3.94/4.19 (define @t124 () (forall @t3 @t123)) % 3.94/4.19 (define @t125 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 3.94/4.19 (define @t126 () (tptp.aSubsetOf0 @t111 @t125)) % 3.94/4.19 (define @t127 () (tptp.aElementOf0 @t15 @t125)) % 3.94/4.19 (define @t128 () (tptp.aElementOf0 @t15 @t111)) % 3.94/4.19 (define @t129 () (forall @t18 (=> @t128 @t127))) % 3.94/4.19 (define @t130 () (and @t129 @t126)) % 3.94/4.19 (define @t131 () (=> @t59 @t130)) % 3.94/4.19 (define @t132 () (=> @t54 @t131)) % 3.94/4.19 (define @t133 () (forall @t31 @t132)) % 3.94/4.19 (define @t134 () (tptp.sdtlseqdt0 @t112 @t15)) % 3.94/4.19 (define @t135 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 3.94/4.19 (define @t136 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 3.94/4.19 (define @t137 () (tptp.szmzizndt0 @t136)) % 3.94/4.19 (define @t138 () (tptp.sdtmndt0 @t136 @t137)) % 3.94/4.19 (define @t139 () (tptp.aElementOf0 @t1 @t138)) % 3.94/4.19 (define @t140 () (tptp.aElementOf0 @t1 tptp.xQ)) % 3.94/4.19 (define @t141 () (forall @t3 (=> @t140 @t139))) % 3.94/4.19 (define @t142 () (= @t1 @t137)) % 3.94/4.19 (define @t143 () (tptp.aElementOf0 @t1 @t136)) % 3.94/4.19 (define @t144 () (forall @t3 (= @t139 (and @t4 @t143 (not @t142))))) % 3.94/4.19 (define @t145 () (tptp.sdtlseqdt0 @t137 @t1)) % 3.94/4.19 (define @t146 () (forall @t3 (=> @t143 @t145))) % 3.94/4.19 (define @t147 () (tptp.aElementOf0 @t137 @t136)) % 3.94/4.19 (define @t148 () (tptp.sdtpldt0 tptp.xQ @t137)) % 3.94/4.19 (define @t149 () (tptp.aElementOf0 @t1 @t148)) % 3.94/4.19 (define @t150 () (forall @t3 (= @t149 (and @t4 (or @t140 @t142))))) % 3.94/4.19 (define @t151 () (tptp.aSet0 @t148)) % 3.94/4.19 (define @t152 () (tptp.aSubsetOf0 @t148 tptp.xS)) % 3.94/4.19 (define @t153 () (forall @t3 (=> @t149 @t91))) % 3.94/4.19 (define @t154 () (or @t153 @t152)) % 3.94/4.19 (define @t155 () (and @t151 @t150)) % 3.94/4.19 (define @t156 () (=> @t155 @t154)) % 3.94/4.19 (define @t157 () (and @t147 @t146)) % 3.94/4.19 (define @t158 () (=> @t157 @t156)) % 3.94/4.19 (define @t159 () (not @t158)) % 3.94/4.19 (define @t160 () (@var "BOUND_VARIABLE_9881" $$unsorted)) % 3.94/4.19 (define @t161 () (or (not (tptp.aElementOf0 @t160 @t111)) (tptp.aElementOf0 @t160 @t125))) % 3.94/4.19 (define @t162 () (and @t161 @t126)) % 3.94/4.19 (define @t163 () (not @t59)) % 3.94/4.19 (define @t164 () (not @t53)) % 3.94/4.19 (define @t165 () (not @t51)) % 3.94/4.19 (define @t166 () (or @t165 @t164 @t163 @t162)) % 3.94/4.19 (define @t167 () (@list @t160)) % 3.94/4.19 (define @t168 () (forall @t167 @t166)) % 3.94/4.19 (define @t169 () (forall @t167 @t126)) % 3.94/4.19 (define @t170 () (forall @t167 @t161)) % 3.94/4.19 (define @t171 () (and @t170 @t169)) % 3.94/4.19 (define @t172 () (forall @t167 @t162)) % 3.94/4.19 (define @t173 () (or @t165 @t164 @t163 @t172)) % 3.94/4.19 (define @t174 () (and (forall @t18 (or (not @t128) @t127)) @t126)) % 3.94/4.19 (define @t175 () (or @t165 @t164 @t163 @t174)) % 3.94/4.19 (define @t176 () (=> @t59 @t174)) % 3.94/4.19 (define @t177 () (tptp.sdtlseqdt0 tptp.sz00 tptp.xi)) % 3.94/4.19 (define @t178 () (not @t135)) % 3.94/4.19 (define @t179 () (or @t178 @t177)) % 3.94/4.19 (define @t180 () (@list false false)) % 3.94/4.19 (define @t181 () (tptp.aSubsetOf0 @t136 @t121)) % 3.94/4.19 (define @t182 () (tptp.aElementOf0 @t137 @t121)) % 3.94/4.19 (define @t183 () (not @t147)) % 3.94/4.19 (define @t184 () (or @t183 @t182)) % 3.94/4.19 (define @t185 () (and @t184 @t181)) % 3.94/4.19 (define @t186 () (not @t177)) % 3.94/4.19 (define @t187 () (not @t49)) % 3.94/4.19 (define @t188 () (or @t178 @t187 @t186 @t185)) % 3.94/4.19 (define @t189 () (not @t185)) % 3.94/4.19 (define @t190 () (@list false)) % 3.94/4.19 (define @t191 () (@list @t185)) % 3.94/4.19 (define @t192 () (@quantifiers_skolemize (forall @t3 (or (not @t149) @t91)) 0)) % 3.94/4.19 (define @t193 () (tptp.aElementOf0 @t192 tptp.xQ)) % 3.94/4.19 (define @t194 () (= @t192 @t137)) % 3.94/4.19 (define @t195 () (or @t193 @t194)) % 3.94/4.19 (define @t196 () (tptp.aElement0 @t192)) % 3.94/4.19 (define @t197 () (and @t196 @t195)) % 3.94/4.19 (define @t198 () (tptp.aElementOf0 @t192 @t148)) % 3.94/4.19 (define @t199 () (= @t198 @t197)) % 3.94/4.19 (define @t200 () (@list @t192)) % 3.94/4.19 (define @t201 () (= @t137 @t192)) % 3.94/4.19 (define @t202 () (or @t193 @t201)) % 3.94/4.19 (define @t203 () (and @t196 @t202)) % 3.94/4.19 (define @t204 () (= @t198 @t203)) % 3.94/4.19 (define @t205 () (tptp.aElementOf0 @t192 tptp.xS)) % 3.94/4.19 (define @t206 () (not @t198)) % 3.94/4.19 (define @t207 () (or @t206 @t205)) % 3.94/4.19 (define @t208 () (@list true)) % 3.94/4.19 (define @t209 () (@list @t207)) % 3.94/4.19 (define @t210 () (not @t194)) % 3.94/4.19 (define @t211 () (tptp.aElementOf0 @t192 @t136)) % 3.94/4.19 (define @t212 () (and @t196 @t211 @t210)) % 3.94/4.19 (define @t213 () (tptp.aElementOf0 @t192 @t138)) % 3.94/4.19 (define @t214 () (= @t213 @t212)) % 3.94/4.19 (define @t215 () (and @t196 @t211 (not @t201))) % 3.94/4.19 (define @t216 () (= @t213 @t215)) % 3.94/4.19 (define @t217 () (@var "BOUND_VARIABLE_8260" $$unsorted)) % 3.94/4.19 (define @t218 () (= (tptp.aSubsetOf0 @t217 @t1) (and (tptp.aSet0 @t217) (forall @t18 (or (not (tptp.aElementOf0 @t15 @t217)) @t16))))) % 3.94/4.19 (define @t219 () (not @t2)) % 3.94/4.19 (define @t220 () (or @t219 @t218)) % 3.94/4.19 (define @t221 () (@list @t217)) % 3.94/4.19 (define @t222 () (forall @t221 @t220)) % 3.94/4.19 (define @t223 () (forall @t221 @t218)) % 3.94/4.19 (define @t224 () (@list @t5)) % 3.94/4.19 (define @t225 () (or @t219 @t223)) % 3.94/4.19 (define @t226 () (forall @t8 (= @t22 (and @t20 (forall @t18 (or (not @t17) @t16)))))) % 3.94/4.19 (define @t227 () (@var "BOUND_VARIABLE_9860" $$unsorted)) % 3.94/4.19 (define @t228 () (or (not (tptp.aElementOf0 @t227 @t111)) (tptp.aElementOf0 @t227 tptp.szNzAzT0))) % 3.94/4.19 (define @t229 () (and @t120 @t228 @t118 @t117)) % 3.94/4.19 (define @t230 () (or @t165 @t229)) % 3.94/4.19 (define @t231 () (@list @t227)) % 3.94/4.19 (define @t232 () (forall @t231 @t230)) % 3.94/4.19 (define @t233 () (forall @t231 @t117)) % 3.94/4.19 (define @t234 () (forall @t231 @t118)) % 3.94/4.19 (define @t235 () (forall @t231 @t228)) % 3.94/4.19 (define @t236 () (forall @t231 @t120)) % 3.94/4.19 (define @t237 () (and @t236 @t235 @t234 @t233)) % 3.94/4.19 (define @t238 () (forall @t231 @t229)) % 3.94/4.19 (define @t239 () (or @t165 @t238)) % 3.94/4.19 (define @t240 () (and @t120 (forall @t8 (or (not @t115) @t53)) @t118 @t117)) % 3.94/4.19 (define @t241 () (tptp.szmzizndt0 @t121)) % 3.94/4.19 (define @t242 () (tptp.aSet0 @t121)) % 3.94/4.19 (define @t243 () (and @t242 (or (not (tptp.aElementOf0 @t241 @t121)) (tptp.aElementOf0 @t241 tptp.szNzAzT0)) (tptp.aSubsetOf0 @t121 tptp.szNzAzT0) (tptp.isCountable0 @t121))) % 3.94/4.19 (define @t244 () (or @t187 @t243)) % 3.94/4.19 (define @t245 () (forall @t18 (or (not (tptp.aElementOf0 @t15 @t136)) (tptp.aElementOf0 @t15 @t121)))) % 3.94/4.19 (define @t246 () (and (tptp.aSet0 @t136) @t245)) % 3.94/4.19 (define @t247 () (= @t181 @t246)) % 3.94/4.19 (define @t248 () (not @t242)) % 3.94/4.19 (define @t249 () (or @t248 @t247)) % 3.94/4.19 (define @t250 () (tptp.aElementOf0 @t192 @t121)) % 3.94/4.19 (define @t251 () (not @t211)) % 3.94/4.19 (define @t252 () (or @t251 @t250)) % 3.94/4.19 (define @t253 () (@list true false)) % 3.94/4.19 (define @t254 () (not @t215)) % 3.94/4.19 (define @t255 () (not @t213)) % 3.94/4.19 (define @t256 () (not @t193)) % 3.94/4.19 (define @t257 () (or @t256 @t213)) % 3.94/4.19 (assume @p1 (forall @t3 (=> @t2 true))) % 3.94/4.19 (assume @p2 (forall @t3 (=> @t4 true))) % 3.94/4.19 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 3.94/4.19 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 3.94/4.19 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 3.94/4.19 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 3.94/4.19 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 3.94/4.19 (assume @p8 (forall @t3 (=> @t13 @t12))) % 3.94/4.19 (assume @p9 (forall @t3 (=> @t13 @t14))) % 3.94/4.19 (assume @p10 @t26) % 3.94/4.19 (assume @p11 (forall @t3 (=> @t28 (forall @t8 (=> @t22 @t27))))) % 3.94/4.19 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 3.94/4.19 (assume @p13 (forall @t31 (=> (and @t2 @t20) (=> (and @t30 @t22) @t29)))) % 3.94/4.19 (assume @p14 (forall @t34 (=> (and @t2 @t20 @t33) (=> (and @t30 @t32) (tptp.aSubsetOf0 @t1 @t15))))) % 3.94/4.19 (assume @p15 (forall @t31 (=> @t42 (forall @t18 (= (= @t15 @t41) (and @t33 (forall @t40 (= @t39 (and @t38 (or @t37 @t36)))))))))) % 3.94/4.19 (assume @p16 (forall @t31 (=> @t42 (forall @t18 (= (= @t15 @t43) (and @t33 (forall @t40 (= @t39 (and @t38 @t37 (not @t36)))))))))) % 3.94/4.19 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t43 @t5) @t1)))))) % 3.94/4.19 (assume @p18 (forall @t31 (=> (and @t4 @t20) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t44 @t1) @t5))))) % 3.94/4.19 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t44)))))) % 3.94/4.19 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t47)))))) % 3.94/4.19 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t44)))))) % 3.94/4.19 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t47)))))) % 3.94/4.19 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 3.94/4.19 (assume @p24 @t49) % 3.94/4.19 (assume @p25 (forall @t3 (=> @t51 (and (tptp.aElementOf0 @t50 tptp.szNzAzT0) (not (= @t50 tptp.sz00)))))) % 3.94/4.19 (assume @p26 (forall @t31 (=> @t54 (=> (= @t50 @t52) @t29)))) % 3.94/4.19 (assume @p27 (forall @t3 (=> @t51 (or @t55 (exists @t8 (and @t53 (= @t1 @t52))))))) % 3.94/4.19 (assume @p28 (forall @t3 (=> @t51 (not (= @t1 @t50))))) % 3.94/4.19 (assume @p29 (forall @t31 (=> @t54 (=> @t56 true)))) % 3.94/4.19 (assume @p30 @t58) % 3.94/4.19 (assume @p31 (forall @t3 (=> @t51 (not (tptp.sdtlseqdt0 @t50 tptp.sz00))))) % 3.94/4.19 (assume @p32 (forall @t31 (=> @t54 (= @t56 (tptp.sdtlseqdt0 @t50 @t52))))) % 3.94/4.19 (assume @p33 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t50)))) % 3.94/4.19 (assume @p34 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t1)))) % 3.94/4.19 (assume @p35 (forall @t31 (=> @t54 (=> (and @t56 @t59) @t29)))) % 3.94/4.19 (assume @p36 (forall @t34 (=> (and @t51 @t53 @t61) (=> (and @t56 @t60) (tptp.sdtlseqdt0 @t1 @t15))))) % 3.94/4.19 (assume @p37 (forall @t31 (=> @t54 (or @t56 (tptp.sdtlseqdt0 @t52 @t1))))) % 3.94/4.19 (assume @p38 (forall @t31 (=> @t54 (=> (tptp.iLess0 @t1 @t5) true)))) % 3.94/4.19 (assume @p39 (forall @t3 (=> @t51 (tptp.iLess0 @t1 @t50)))) % 3.94/4.19 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t62)))) % 3.94/4.19 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t62 tptp.szNzAzT0) @t9)))) % 3.94/4.19 (assume @p42 (forall @t3 (=> @t2 (= (= @t62 tptp.sz00) @t10)))) % 3.94/4.19 (assume @p43 (forall @t3 (=> @t28 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t41) (tptp.szszuzczcdt0 @t62)))))))) % 3.94/4.19 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t43)) @t62)))))) % 3.94/4.19 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t22) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t62)))))) % 3.94/4.19 (assume @p46 (forall @t31 (=> @t63 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t62)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 3.94/4.19 (assume @p47 (forall @t3 (=> (and @t65 @t14) (forall @t8 (= (= @t5 @t64) (and @t7 (forall @t18 (=> @t16 @t60)))))))) % 3.94/4.19 (assume @p48 (forall @t3 (=> (and @t65 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 3.94/4.19 (assume @p49 (forall @t31 (=> (and @t65 @t67 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t64 @t5) (tptp.aElementOf0 @t66 @t1)) (= @t64 @t66))))) % 3.94/4.19 (assume @p50 (forall @t3 (=> @t51 (forall @t8 (= (= @t5 @t68) (and @t20 (forall @t18 (= @t17 (and @t61 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 3.94/4.19 (assume @p51 (forall @t3 (=> @t51 (tptp.isFinite0 @t68)))) % 3.94/4.19 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 3.94/4.19 (assume @p53 (forall @t31 (=> @t54 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t52)) (or (tptp.aElementOf0 @t1 @t69) @t29))))) % 3.94/4.19 (assume @p54 (forall @t31 (=> @t54 (= @t56 (tptp.aSubsetOf0 @t68 @t69))))) % 3.94/4.19 (assume @p55 (forall @t3 (=> (and @t65 @t9) (exists @t8 (and @t53 (tptp.aSubsetOf0 @t1 @t69)))))) % 3.94/4.19 (assume @p56 (forall @t3 (=> @t51 (= (tptp.sbrdtbr0 @t68) @t1)))) % 3.94/4.19 (assume @p57 (forall @t31 (=> @t63 (forall @t18 (= (= @t15 @t72) (and @t33 (forall @t40 (= @t39 (and @t71 (= @t70 @t5)))))))))) % 3.94/4.19 (assume @p58 (forall @t3 (=> @t28 (forall @t8 (=> @t53 (tptp.isFinite0 @t72)))))) % 3.94/4.19 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t53 (not (= @t72 tptp.slcrc0))))))) % 3.94/4.19 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t53 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t72)))))) % 3.94/4.19 (assume @p61 (forall @t3 (=> @t51 (forall (@list @t5 @t15) (=> (and @t20 @t33 (not @t55)) (=> (and (tptp.aSubsetOf0 @t73 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t73 tptp.slcrc0))) @t32)))))) % 3.94/4.19 (assume @p62 (forall @t31 (=> @t63 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t72) (tptp.isFinite0 @t15)) (exists @t40 (and @t71 (tptp.isFinite0 @t35) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t35 @t5))))))))) % 3.94/4.19 (assume @p63 (forall @t3 (=> @t74 true))) % 3.94/4.19 (assume @p64 (forall @t3 (=> @t74 (tptp.aSet0 @t75)))) % 3.94/4.19 (assume @p65 (forall @t3 (=> @t74 (forall @t8 (=> @t77 (tptp.aElement0 @t76)))))) % 3.94/4.19 (assume @p66 (forall @t31 (=> @t81 (forall @t18 (= (= @t15 @t80) (and @t33 (forall @t40 (= @t39 (and @t79 (= @t78 @t5)))))))))) % 3.94/4.19 (assume @p67 (forall @t31 (=> @t81 (tptp.aSubsetOf0 @t80 @t75)))) % 3.94/4.19 (assume @p68 (forall @t3 (=> @t74 (forall @t8 (=> @t86 (forall @t18 (= (= @t15 @t85) (and @t33 (forall @t40 (= @t39 (exists @t84 (and @t83 (= (tptp.sdtlpdtrp0 @t1 @t82) @t35))))))))))))) % 3.94/4.19 (assume @p69 (forall @t3 (=> @t74 (forall @t8 (=> @t77 (tptp.aElementOf0 @t76 @t87)))))) % 3.94/4.19 (assume @p70 (forall @t3 (=> @t74 (forall @t8 (=> @t86 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t89 (= @t88 @t5) (forall @t40 (=> (tptp.aElementOf0 @t35 @t5) (= (tptp.sdtlpdtrp0 @t15 @t35) @t78))))))))))) % 3.94/4.19 (assume @p71 (forall @t3 (=> @t74 (forall @t8 (=> (and @t86 @t45) (=> (forall (@list @t15 @t35) (=> (and (tptp.aElementOf0 @t15 @t75) @t79 (not (= @t15 @t35))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t78)))) (tptp.isCountable0 @t85))))))) % 3.94/4.19 (assume @p72 (forall @t3 (=> @t74 (=> (and (tptp.isCountable0 @t75) (tptp.isFinite0 @t87)) (and (tptp.aElement0 @t90) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t90))))))) % 3.94/4.19 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 3.94/4.19 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 3.94/4.19 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> @t91 @t51)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 3.94/4.19 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t95 (and @t2 @t98 @t97 @t96)) (=> (and (or (and @t2 @t98) @t97) @t96) @t95))) (= @t92 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSet0 @t93) (forall @t3 (= @t94 (exists @t8 (and (tptp.aElementOf0 @t5 @t92) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t94 (tptp.aElementOf0 @t1 tptp.xT))) (tptp.aSubsetOf0 @t93 tptp.xT))) % 3.94/4.19 (assume @p77 (forall @t3 (=> @t51 (forall @t8 (=> (and (or (and @t20 (forall @t18 (=> @t17 @t61))) @t67) @t45) (forall @t18 (=> (and @t89 (or (forall @t40 (and (=> @t105 (and (or (and @t109 @t108) @t107) @t106)) (=> (and @t109 @t108 @t107 @t106) @t105))) (= @t88 @t73)) (=> (and (tptp.aSet0 @t103) (forall @t40 (= @t104 (exists @t84 (and (tptp.aElementOf0 @t82 @t88) (= (tptp.sdtlpdtrp0 @t15 @t82) @t35)))))) (or (forall @t40 (=> @t104 @t102)) (tptp.aSubsetOf0 @t103 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t40 (and @t102 (exists @t84 (and (tptp.aSet0 @t82) (forall @t101 (=> (tptp.aElementOf0 @t99 @t82) (tptp.aElementOf0 @t99 @t5))) (tptp.aSubsetOf0 @t82 @t5) (tptp.isCountable0 @t82) (forall @t101 (=> (or (and (or (and (tptp.aSet0 @t99) (forall (@list @t100) (=> (tptp.aElementOf0 @t100 @t99) (tptp.aElementOf0 @t100 @t82)))) (tptp.aSubsetOf0 @t99 @t82)) (= (tptp.sbrdtbr0 @t99) @t1)) (tptp.aElementOf0 @t99 (tptp.slbdtsldtrb0 @t82 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t99) @t35))))))))))))))) % 3.94/4.19 (assume @p78 (not (= tptp.xK tptp.sz00))) % 3.94/4.19 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 3.94/4.19 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= @t121 tptp.xS) (forall @t3 (=> @t51 (=> (and (or (and @t120 @t119) @t118) @t117) (and @t116 (forall @t8 (=> @t115 (tptp.sdtlseqdt0 @t112 @t5))) (tptp.aSet0 @t113) (forall @t8 (= @t114 (and @t6 @t115 (not (= @t5 @t112))))) (tptp.aSet0 @t110) (forall @t8 (=> (tptp.aElementOf0 @t5 @t110) @t114)) (tptp.aSubsetOf0 @t110 @t113) (tptp.isCountable0 @t110))))))) % 3.94/4.19 (assume @p81 @t124) % 3.94/4.19 (assume @p82 @t133) % 3.94/4.19 (assume @p83 (forall @t31 (=> (and @t51 @t53 (not @t29)) (not (=> (and @t116 (forall @t18 (=> @t128 @t134))) (or (and (tptp.aElementOf0 @t112 @t125) (forall @t18 (=> @t127 @t134))) (= @t112 (tptp.szmzizndt0 @t125)))))))) % 3.94/4.19 (assume @p84 @t135) % 3.94/4.19 (assume @p85 (and @t147 @t146 (tptp.aSet0 @t138) @t144 (tptp.aSet0 tptp.xQ) @t141 (tptp.aSubsetOf0 tptp.xQ @t138) (= (tptp.sbrdtbr0 tptp.xQ) tptp.xk) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 @t138 tptp.xk)))) % 3.94/4.19 (assume @p86 (and @t147 @t146 @t151 @t150 (= (tptp.sbrdtbr0 @t148) tptp.xK))) % 3.94/4.19 (assume @p87 @t159) % 3.94/4.19 (assume @p88 true) % 3.94/4.19 (step @p89 :rule evaluate :args ((= false true))) % 3.94/4.19 (step @p90 :rule quant-merge-prenex :args ((= (forall @t31 @t168) (forall (@list @t1 @t5 @t160) @t166)))) % 3.94/4.19 (step @p91 :rule quant-unused-vars :args ((= @t169 @t126))) % 3.94/4.19 (step @p92 :rule alpha_equiv :args (@t170 (@list @t160) (@list @t15))) % 3.94/4.19 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t171)) % 3.94/4.19 (step @p94 :rule quant-miniscope-and :args ((= @t172 @t171))) % 3.94/4.19 (step @p95 :rule trans :premises (@p94 @p93)) % 3.94/4.19 (step @p96 :rule refl :args (@t163)) % 3.94/4.19 (step @p97 :rule refl :args (@t164)) % 3.94/4.19 (step @p98 :rule refl :args (@t165)) % 3.94/4.19 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95) :args (@t173)) % 3.94/4.19 (step @p100 :rule quant-miniscope-or :args ((= @t168 @t173))) % 3.94/4.19 (step @p101 :rule trans :premises (@p100 @p99)) % 3.94/4.19 (step @p102 :rule symm :premises (@p101)) % 3.94/4.19 (step @p103 :rule cong :premises (@p102) :args ((forall @t31 @t175))) % 3.94/4.19 (step @p104 :rule trans :premises (@p103 @p90)) % 3.94/4.19 (step @p105 :rule aci_norm :args ((= (or (or @t165 @t164) (or @t163 @t174)) @t175))) % 3.94/4.19 (step @p106 :rule bool-impl-elim :args (@t59 @t174)) % 3.94/4.19 (step @p107 :rule bool-and-de-morgan :args (@t51 @t53 true)) % 3.94/4.19 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t54) @t176))) % 3.94/4.19 (step @p109 :rule trans :premises (@p108 @p105)) % 3.94/4.19 (step @p110 :rule bool-impl-elim :args (@t54 @t176)) % 3.94/4.19 (step @p111 :rule trans :premises (@p110 @p109)) % 3.94/4.19 (step @p112 :rule cong :premises (@p111) :args ((forall @t31 (=> @t54 @t176)))) % 3.94/4.19 (step @p113 :rule trans :premises (@p112 @p104)) % 3.94/4.19 (step @p114 :rule refl :args (@t126)) % 3.94/4.19 (step @p115 :rule bool-impl-elim :args (@t128 @t127)) % 3.94/4.19 (step @p116 :rule cong :premises (@p115) :args (@t129)) % 3.94/4.19 (step @p117 :rule nary_cong :premises (@p116 @p114) :args (@t130)) % 3.94/4.19 (step @p118 :rule refl :args (@t59)) % 3.94/4.19 (step @p119 :rule cong :premises (@p118 @p117) :args (@t131)) % 3.94/4.19 (step @p120 :rule refl :args (@t54)) % 3.94/4.19 (step @p121 :rule cong :premises (@p120 @p119) :args (@t132)) % 3.94/4.19 (step @p122 :rule cong :premises (@p121) :args (@t133)) % 3.94/4.19 (step @p123 :rule trans :premises (@p122 @p113)) % 3.94/4.19 (step @p124 :rule eq_resolve :premises (@p82 @p123)) % 3.94/4.19 (step @p125 :rule instantiate :premises (@p124) :args ((@list tptp.xi tptp.sz00 @t137))) % 3.94/4.19 (step @p126 :rule bool-impl-elim :args (@t51 @t57)) % 3.94/4.19 (step @p127 :rule cong :premises (@p126) :args (@t58)) % 3.94/4.19 (step @p128 :rule eq_resolve :premises (@p30 @p127)) % 3.94/4.19 (step @p129 :rule instantiate :premises (@p128) :args ((@list tptp.xi))) % 3.94/4.19 (step @p130 :rule cnf_or_pos :args (@t179)) % 3.94/4.19 (step @p131 :rule reordering :premises (@p130) :args ((or @t178 @t177 (not @t179)))) % 3.94/4.19 (step @p132 :rule chain_m_resolution :premises (@p131 @p84 @p129) :args (@t177 @t180 (@list @t135 @t179))) % 3.94/4.19 (step @p133 :rule cnf_or_pos :args (@t188)) % 3.94/4.19 (step @p134 :rule reordering :premises (@p133) :args ((or @t187 @t178 @t186 @t185 (not @t188)))) % 3.94/4.19 (step @p135 :rule chain_m_resolution :premises (@p134 @p24 @p84 @p132 @p125) :args (@t185 (@list false false false false) (@list @t49 @t135 @t177 @t188))) % 3.94/4.19 (step @p136 :rule cnf_and_pos :args (@t185 0)) % 3.94/4.19 (step @p137 :rule reordering :premises (@p136) :args ((or @t184 @t189))) % 3.94/4.19 (step @p138 :rule chain_m_resolution :premises (@p137 @p135) :args (@t184 @t190 @t191)) % 3.94/4.19 (step @p139 :rule refl :args (@t152)) % 3.94/4.19 (step @p140 :rule bool-impl-elim :args (@t149 @t91)) % 3.94/4.19 (step @p141 :rule cong :premises (@p140) :args (@t153)) % 3.94/4.19 (step @p142 :rule nary_cong :premises (@p141 @p139) :args (@t154)) % 3.94/4.19 (step @p143 :rule refl :args (@t155)) % 3.94/4.19 (step @p144 :rule cong :premises (@p143 @p142) :args (@t156)) % 3.94/4.19 (step @p145 :rule bool-impl-elim :args (@t143 @t145)) % 3.94/4.19 (step @p146 :rule cong :premises (@p145) :args (@t146)) % 3.94/4.19 (step @p147 :rule refl :args (@t147)) % 3.94/4.19 (step @p148 :rule nary_cong :premises (@p147 @p146) :args (@t157)) % 3.94/4.19 (step @p149 :rule cong :premises (@p148 @p144) :args (@t158)) % 3.94/4.19 (step @p150 :rule cong :premises (@p149) :args (@t159)) % 3.94/4.19 (step @p151 :rule eq_resolve :premises (@p87 @p150)) % 3.94/4.19 (step @p152 :rule not_implies_elim1 :premises (@p151)) % 3.94/4.19 (step @p153 :rule and_elim :premises (@p152) :args (0)) % 3.94/4.19 (step @p154 :rule cnf_or_pos :args (@t184)) % 3.94/4.19 (step @p155 :rule reordering :premises (@p154) :args ((or @t183 @t182 (not @t184)))) % 3.94/4.19 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p138) :args (@t182 @t180 (@list @t147 @t184))) % 3.94/4.19 (step @p157 :rule true_intro :premises (@p156)) % 3.94/4.19 (step @p158 :rule and_elim :premises (@p80) :args (2)) % 3.94/4.19 (step @p159 :rule symm :premises (@p158)) % 3.94/4.19 (step @p160 :rule not_implies_elim2 :premises (@p151)) % 3.94/4.19 (step @p161 :rule not_implies_elim1 :premises (@p160)) % 3.94/4.19 (step @p162 :rule and_elim :premises (@p161) :args (1)) % 3.94/4.19 (step @p163 :rule eq-symm :args (@t192 @t137)) % 3.94/4.19 (step @p164 :rule refl :args (@t193)) % 3.94/4.19 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t195)) % 3.94/4.19 (step @p166 :rule refl :args (@t196)) % 3.94/4.19 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t197)) % 3.94/4.19 (step @p168 :rule refl :args (@t198)) % 3.94/4.19 (step @p169 :rule cong :premises (@p168 @p167) :args (@t199)) % 3.94/4.19 (step @p170 :rule refl :args (@t150)) % 3.94/4.19 (step @p171 :rule cong :premises (@p170 @p169) :args ((=> @t150 @t199))) % 3.94/4.19 (assume-push @p315 @t150) % 3.94/4.19 (step @p173 :rule instantiate :premises (@p162) :args (@t200)) % 3.94/4.19 (step-pop @p316 :rule scope :premises (@p173)) % 3.94/4.19 (step @p174 :rule process_scope :premises (@p316) :args (@t199)) % 3.94/4.19 (step @p176 :rule eq_resolve :premises (@p174 @p171)) % 3.94/4.19 (step @p177 :rule implies_elim :premises (@p176)) % 3.94/4.19 (step @p178 :rule chain_m_resolution :premises (@p177 @p162) :args (@t204 @t190 (@list @t150))) % 3.94/4.19 (step @p179 :rule not_implies_elim2 :premises (@p160)) % 3.94/4.19 (step @p180 :rule not_or_elim :premises (@p179) :args (0)) % 3.94/4.19 (step @p181 :rule skolemize :premises (@p180)) % 3.94/4.19 (step @p182 :rule bool-double-not-elim :args (@t198)) % 3.94/4.19 (step @p183 :rule refl :args (@t207)) % 3.94/4.19 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t207 (not @t206)))) % 3.94/4.19 (step @p185 :rule cnf_or_neg :args (@t207 0)) % 3.94/4.19 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 3.94/4.19 (step @p187 :rule reordering :premises (@p186) :args ((or @t198 @t207))) % 3.94/4.19 (step @p188 :rule chain_m_resolution :premises (@p187 @p181) :args (@t198 @t208 @t209)) % 3.94/4.19 (step @p189 :rule cnf_equiv_pos1 :args (@t204)) % 3.94/4.19 (step @p190 :rule reordering :premises (@p189) :args ((or @t206 @t203 (not @t204)))) % 3.94/4.19 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p178) :args (@t203 @t180 (@list @t198 @t204))) % 3.94/4.19 (step @p192 :rule cnf_and_pos :args (@t203 1)) % 3.94/4.19 (step @p193 :rule reordering :premises (@p192) :args ((or @t202 (not @t203)))) % 3.94/4.19 (step @p194 :rule chain_m_resolution :premises (@p193 @p191) :args (@t202 @t190 (@list @t203))) % 3.94/4.19 (step @p195 :rule bool-impl-elim :args (@t140 @t139)) % 3.94/4.19 (step @p196 :rule cong :premises (@p195) :args (@t141)) % 3.94/4.19 (step @p197 :rule and_elim :premises (@p85) :args (5)) % 3.94/4.19 (step @p198 :rule eq_resolve :premises (@p197 @p196)) % 3.94/4.19 (step @p199 :rule instantiate :premises (@p198) :args (@t200)) % 3.94/4.19 (step @p200 :rule and_elim :premises (@p85) :args (3)) % 3.94/4.19 (step @p201 :rule cong :premises (@p163) :args (@t210)) % 3.94/4.19 (step @p202 :rule refl :args (@t211)) % 3.94/4.19 (step @p203 :rule nary_cong :premises (@p166 @p202 @p201) :args (@t212)) % 3.94/4.19 (step @p204 :rule refl :args (@t213)) % 3.94/4.19 (step @p205 :rule cong :premises (@p204 @p203) :args (@t214)) % 3.94/4.19 (step @p206 :rule refl :args (@t144)) % 3.94/4.19 (step @p207 :rule cong :premises (@p206 @p205) :args ((=> @t144 @t214))) % 3.94/4.19 (assume-push @p317 @t144) % 3.94/4.19 (step @p209 :rule instantiate :premises (@p200) :args (@t200)) % 3.94/4.19 (step-pop @p318 :rule scope :premises (@p209)) % 3.94/4.19 (step @p210 :rule process_scope :premises (@p318) :args (@t214)) % 3.94/4.19 (step @p212 :rule eq_resolve :premises (@p210 @p207)) % 3.94/4.19 (step @p213 :rule implies_elim :premises (@p212)) % 3.94/4.19 (step @p214 :rule chain_m_resolution :premises (@p213 @p200) :args (@t216 @t190 (@list @t144))) % 3.94/4.19 (step @p215 :rule quant-merge-prenex :args ((= (forall @t3 @t222) (forall (@list @t1 @t217) @t220)))) % 3.94/4.19 (step @p216 :rule alpha_equiv :args (@t223 (@list @t217) @t224)) % 3.94/4.19 (step @p217 :rule refl :args (@t219)) % 3.94/4.19 (step @p218 :rule nary_cong :premises (@p217 @p216) :args (@t225)) % 3.94/4.19 (step @p219 :rule quant-miniscope-or :args ((= @t222 @t225))) % 3.94/4.19 (step @p220 :rule trans :premises (@p219 @p218)) % 3.94/4.19 (step @p221 :rule symm :premises (@p220)) % 3.94/4.19 (step @p222 :rule cong :premises (@p221) :args ((forall @t3 (or @t219 @t226)))) % 3.94/4.19 (step @p223 :rule trans :premises (@p222 @p215)) % 3.94/4.19 (step @p224 :rule bool-impl-elim :args (@t2 @t226)) % 3.94/4.19 (step @p225 :rule cong :premises (@p224) :args ((forall @t3 (=> @t2 @t226)))) % 3.94/4.19 (step @p226 :rule trans :premises (@p225 @p223)) % 3.94/4.19 (step @p227 :rule bool-impl-elim :args (@t17 @t16)) % 3.94/4.19 (step @p228 :rule cong :premises (@p227) :args (@t19)) % 3.94/4.19 (step @p229 :rule refl :args (@t20)) % 3.94/4.19 (step @p230 :rule nary_cong :premises (@p229 @p228) :args (@t21)) % 3.94/4.19 (step @p231 :rule refl :args (@t22)) % 3.94/4.19 (step @p232 :rule cong :premises (@p231 @p230) :args (@t23)) % 3.94/4.19 (step @p233 :rule cong :premises (@p232) :args (@t24)) % 3.94/4.19 (step @p234 :rule refl :args (@t2)) % 3.94/4.19 (step @p235 :rule cong :premises (@p234 @p233) :args (@t25)) % 3.94/4.19 (step @p236 :rule cong :premises (@p235) :args (@t26)) % 3.94/4.19 (step @p237 :rule trans :premises (@p236 @p226)) % 3.94/4.19 (step @p238 :rule eq_resolve :premises (@p10 @p237)) % 3.94/4.19 (step @p239 :rule instantiate :premises (@p238) :args ((@list @t121 @t136))) % 3.94/4.19 (step @p240 :rule quant-merge-prenex :args ((= (forall @t3 @t232) (forall (@list @t1 @t227) @t230)))) % 3.94/4.19 (step @p241 :rule quant-unused-vars :args ((= @t233 @t117))) % 3.94/4.19 (step @p242 :rule quant-unused-vars :args ((= @t234 @t118))) % 3.94/4.19 (step @p243 :rule alpha_equiv :args (@t235 (@list @t227) @t224)) % 3.94/4.19 (step @p244 :rule quant-unused-vars :args ((= @t236 @t120))) % 3.94/4.19 (step @p245 :rule nary_cong :premises (@p244 @p243 @p242 @p241) :args (@t237)) % 3.94/4.19 (step @p246 :rule quant-miniscope-and :args ((= @t238 @t237))) % 3.94/4.19 (step @p247 :rule trans :premises (@p246 @p245)) % 3.94/4.19 (step @p248 :rule nary_cong :premises (@p98 @p247) :args (@t239)) % 3.94/4.19 (step @p249 :rule quant-miniscope-or :args ((= @t232 @t239))) % 3.94/4.19 (step @p250 :rule trans :premises (@p249 @p248)) % 3.94/4.19 (step @p251 :rule symm :premises (@p250)) % 3.94/4.19 (step @p252 :rule cong :premises (@p251) :args ((forall @t3 (or @t165 @t240)))) % 3.94/4.19 (step @p253 :rule trans :premises (@p252 @p240)) % 3.94/4.19 (step @p254 :rule bool-impl-elim :args (@t51 @t240)) % 3.94/4.19 (step @p255 :rule cong :premises (@p254) :args ((forall @t3 (=> @t51 @t240)))) % 3.94/4.19 (step @p256 :rule trans :premises (@p255 @p253)) % 3.94/4.19 (step @p257 :rule refl :args (@t117)) % 3.94/4.19 (step @p258 :rule refl :args (@t118)) % 3.94/4.19 (step @p259 :rule bool-impl-elim :args (@t115 @t53)) % 3.94/4.19 (step @p260 :rule cong :premises (@p259) :args (@t119)) % 3.94/4.19 (step @p261 :rule refl :args (@t120)) % 3.94/4.19 (step @p262 :rule nary_cong :premises (@p261 @p260 @p258 @p257) :args (@t122)) % 3.94/4.19 (step @p263 :rule refl :args (@t51)) % 3.94/4.19 (step @p264 :rule cong :premises (@p263 @p262) :args (@t123)) % 0.36/4.21 (step @p265 :rule cong :premises (@p264) :args (@t124)) % 0.36/4.21 (step @p266 :rule trans :premises (@p265 @p256)) % 0.36/4.21 (step @p267 :rule eq_resolve :premises (@p81 @p266)) % 0.36/4.21 (step @p268 :rule instantiate :premises (@p267) :args ((@list tptp.sz00 @t241))) % 0.36/4.21 (step @p269 :rule cnf_or_pos :args (@t244)) % 0.36/4.21 (step @p270 :rule reordering :premises (@p269) :args ((or @t187 @t243 (not @t244)))) % 0.36/4.21 (step @p271 :rule chain_m_resolution :premises (@p270 @p24 @p268) :args (@t243 @t180 (@list @t49 @t244))) % 0.36/4.21 (step @p272 :rule cnf_and_pos :args (@t243 0)) % 0.36/4.21 (step @p273 :rule reordering :premises (@p272) :args ((or @t242 (not @t243)))) % 0.36/4.21 (step @p274 :rule chain_m_resolution :premises (@p273 @p271) :args (@t242 @t190 (@list @t243))) % 0.36/4.21 (step @p275 :rule cnf_or_pos :args (@t249)) % 0.36/4.21 (step @p276 :rule reordering :premises (@p275) :args ((or @t248 @t247 (not @t249)))) % 0.36/4.21 (step @p277 :rule chain_m_resolution :premises (@p276 @p274 @p239) :args (@t247 @t180 (@list @t242 @t249))) % 0.36/4.21 (step @p278 :rule cnf_and_pos :args (@t185 1)) % 0.36/4.21 (step @p279 :rule reordering :premises (@p278) :args ((or @t181 @t189))) % 0.36/4.21 (step @p280 :rule chain_m_resolution :premises (@p279 @p135) :args (@t181 @t190 @t191)) % 0.36/4.21 (step @p281 :rule cnf_equiv_pos1 :args (@t247)) % 0.36/4.21 (step @p282 :rule reordering :premises (@p281) :args ((or (not @t181) @t246 (not @t247)))) % 0.36/4.21 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p277) :args (@t246 @t180 (@list @t181 @t247))) % 0.36/4.21 (step @p284 :rule cnf_and_pos :args (@t246 1)) % 0.36/4.21 (step @p285 :rule reordering :premises (@p284) :args ((or @t245 (not @t246)))) % 0.36/4.21 (step @p286 :rule chain_m_resolution :premises (@p285 @p283) :args (@t245 @t190 (@list @t246))) % 0.36/4.21 (step @p287 :rule instantiate :premises (@p286) :args (@t200)) % 0.36/4.21 (step @p288 :rule cnf_or_neg :args (@t207 1)) % 0.36/4.21 (step @p289 :rule chain_m_resolution :premises (@p288 @p181) :args ((not @t205) @t208 @t209)) % 0.36/4.21 (step @p290 :rule false_intro :premises (@p289)) % 0.36/4.21 (step @p291 :rule refl :args (@t192)) % 0.36/4.21 (step @p292 :rule cong :premises (@p291 @p158) :args (@t250)) % 0.36/4.21 (step @p293 :rule trans :premises (@p292 @p290)) % 0.36/4.21 (step @p294 :rule false_elim :premises (@p293)) % 0.36/4.21 (step @p295 :rule cnf_or_pos :args (@t252)) % 0.36/4.21 (step @p296 :rule reordering :premises (@p295) :args ((or @t250 @t251 (not @t252)))) % 0.36/4.21 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p287) :args (@t251 @t253 (@list @t250 @t252))) % 0.36/4.21 (step @p298 :rule cnf_and_pos :args (@t215 1)) % 0.36/4.21 (step @p299 :rule reordering :premises (@p298) :args ((or @t211 @t254))) % 0.36/4.21 (step @p300 :rule chain_m_resolution :premises (@p299 @p297) :args (@t254 @t208 (@list @t211))) % 0.36/4.21 (step @p301 :rule cnf_equiv_pos1 :args (@t216)) % 0.36/4.21 (step @p302 :rule reordering :premises (@p301) :args ((or @t215 @t255 (not @t216)))) % 0.36/4.21 (step @p303 :rule chain_m_resolution :premises (@p302 @p300 @p214) :args (@t255 @t253 (@list @t215 @t216))) % 0.36/4.21 (step @p304 :rule cnf_or_pos :args (@t257)) % 0.36/4.21 (step @p305 :rule reordering :premises (@p304) :args ((or @t256 @t213 (not @t257)))) % 0.36/4.21 (step @p306 :rule chain_m_resolution :premises (@p305 @p303 @p199) :args (@t256 @t253 (@list @t213 @t257))) % 0.36/4.21 (step @p307 :rule cnf_or_pos :args (@t202)) % 0.36/4.21 (step @p308 :rule reordering :premises (@p307) :args ((or @t193 @t201 (not @t202)))) % 0.36/4.21 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p194) :args (@t201 @t253 (@list @t193 @t202))) % 0.36/4.21 (step @p310 :rule symm :premises (@p309)) % 0.36/4.21 (step @p311 :rule cong :premises (@p310 @p159) :args (@t205)) % 0.36/4.21 (step @p312 :rule symm :premises (@p290)) % 0.36/4.21 (step @p313 :rule trans :premises (@p312 @p311 @p157)) % 0.36/4.21 (step @p314 false :rule eq_resolve :premises (@p313 @p89)) % 0.36/4.21 ) % 0.36/4.21 % SZS output end Proof % 0.36/4.21 % cvc5 exiting %------------------------------------------------------------------------------