%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM584+1 : 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 : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:55 AM UTC 2026 % Result : Theorem 21.98s 22.58s % Output : Proof 21.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM584+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n002.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:33:18 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 21.98/22.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 21.98/22.58 --- Run --no-e-matching --full-saturate-quant at 6... % 21.98/22.58 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 21.98/22.58 % SZS status Theorem % 21.98/22.58 % SZS output start Proof % 21.98/22.58 ( % 21.98/22.58 (declare-sort $$unsorted 0) % 21.98/22.58 (declare-const tptp.xQ $$unsorted) % 21.98/22.58 (declare-const tptp.xN $$unsorted) % 21.98/22.58 (declare-const tptp.sz00 $$unsorted) % 21.98/22.58 (declare-const tptp.xc $$unsorted) % 21.98/22.58 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 21.98/22.58 (declare-const tptp.szNzAzT0 $$unsorted) % 21.98/22.58 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 21.98/22.58 (declare-const tptp.xk $$unsorted) % 21.98/22.58 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 21.98/22.58 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 21.98/22.58 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 21.98/22.58 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 21.98/22.58 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 21.98/22.58 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 21.98/22.58 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 21.98/22.58 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.xK $$unsorted) % 21.98/22.58 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.xT $$unsorted) % 21.98/22.58 (declare-const tptp.xi $$unsorted) % 21.98/22.58 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.xS $$unsorted) % 21.98/22.58 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.slcrc0 $$unsorted) % 21.98/22.58 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 21.98/22.58 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 21.98/22.58 (define @t1 () (@var "W0" $$unsorted)) % 21.98/22.58 (define @t2 () (tptp.aSet0 @t1)) % 21.98/22.58 (define @t3 () (@list @t1)) % 21.98/22.58 (define @t4 () (tptp.aElement0 @t1)) % 21.98/22.58 (define @t5 () (@var "W1" $$unsorted)) % 21.98/22.58 (define @t6 () (tptp.aElement0 @t5)) % 21.98/22.58 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 21.98/22.58 (define @t8 () (@list @t5)) % 21.98/22.58 (define @t9 () (tptp.isFinite0 @t1)) % 21.98/22.58 (define @t10 () (= @t1 tptp.slcrc0)) % 21.98/22.58 (define @t11 () (tptp.isCountable0 @t1)) % 21.98/22.58 (define @t12 () (not @t9)) % 21.98/22.58 (define @t13 () (and @t2 @t11)) % 21.98/22.58 (define @t14 () (not @t10)) % 21.98/22.58 (define @t15 () (@var "W2" $$unsorted)) % 21.98/22.58 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 21.98/22.58 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 21.98/22.58 (define @t18 () (@list @t15)) % 21.98/22.58 (define @t19 () (forall @t18 (=> @t17 @t16))) % 21.98/22.58 (define @t20 () (tptp.aSet0 @t5)) % 21.98/22.58 (define @t21 () (and @t20 @t19)) % 21.98/22.58 (define @t22 () (tptp.aSubsetOf0 @t5 @t1)) % 21.98/22.58 (define @t23 () (= @t22 @t21)) % 21.98/22.58 (define @t24 () (forall @t8 @t23)) % 21.98/22.58 (define @t25 () (=> @t2 @t24)) % 21.98/22.58 (define @t26 () (forall @t3 @t25)) % 21.98/22.58 (define @t27 () (tptp.isFinite0 @t5)) % 21.98/22.58 (define @t28 () (and @t2 @t9)) % 21.98/22.58 (define @t29 () (= @t1 @t5)) % 21.98/22.58 (define @t30 () (tptp.aSubsetOf0 @t1 @t5)) % 21.98/22.58 (define @t31 () (@list @t1 @t5)) % 21.98/22.58 (define @t32 () (tptp.aSubsetOf0 @t5 @t15)) % 21.98/22.58 (define @t33 () (tptp.aSet0 @t15)) % 21.98/22.58 (define @t34 () (@list @t1 @t5 @t15)) % 21.98/22.58 (define @t35 () (@var "W3" $$unsorted)) % 21.98/22.58 (define @t36 () (= @t35 @t5)) % 21.98/22.58 (define @t37 () (tptp.aElementOf0 @t35 @t1)) % 21.98/22.58 (define @t38 () (tptp.aElement0 @t35)) % 21.98/22.58 (define @t39 () (tptp.aElementOf0 @t35 @t15)) % 21.98/22.58 (define @t40 () (@list @t35)) % 21.98/22.58 (define @t41 () (tptp.sdtpldt0 @t1 @t5)) % 21.98/22.58 (define @t42 () (and @t2 @t6)) % 21.98/22.58 (define @t43 () (tptp.sdtmndt0 @t1 @t5)) % 21.98/22.58 (define @t44 () (tptp.sdtpldt0 @t5 @t1)) % 21.98/22.58 (define @t45 () (tptp.isCountable0 @t5)) % 21.98/22.58 (define @t46 () (and @t20 @t45)) % 21.98/22.58 (define @t47 () (tptp.sdtmndt0 @t5 @t1)) % 21.98/22.58 (define @t48 () (and @t20 @t27)) % 21.98/22.58 (define @t49 () (tptp.aSet0 tptp.szNzAzT0)) % 21.98/22.58 (define @t50 () (tptp.szszuzczcdt0 @t1)) % 21.98/22.58 (define @t51 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 21.98/22.58 (define @t52 () (tptp.szszuzczcdt0 @t5)) % 21.98/22.58 (define @t53 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 21.98/22.58 (define @t54 () (and @t51 @t53)) % 21.98/22.58 (define @t55 () (= @t1 tptp.sz00)) % 21.98/22.58 (define @t56 () (tptp.sdtlseqdt0 @t1 @t5)) % 21.98/22.58 (define @t57 () (tptp.sdtlseqdt0 @t5 @t1)) % 21.98/22.58 (define @t58 () (tptp.sdtlseqdt0 @t5 @t15)) % 21.98/22.58 (define @t59 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 21.98/22.58 (define @t60 () (tptp.sbrdtbr0 @t1)) % 21.98/22.58 (define @t61 () (and @t2 @t53)) % 21.98/22.58 (define @t62 () (tptp.szmzizndt0 @t1)) % 21.98/22.58 (define @t63 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 21.98/22.58 (define @t64 () (tptp.szmzizndt0 @t5)) % 21.98/22.58 (define @t65 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 21.98/22.58 (define @t66 () (tptp.slbdtrb0 @t1)) % 21.98/22.58 (define @t67 () (tptp.slbdtrb0 @t5)) % 21.98/22.58 (define @t68 () (tptp.sbrdtbr0 @t35)) % 21.98/22.58 (define @t69 () (tptp.aSubsetOf0 @t35 @t1)) % 21.98/22.58 (define @t70 () (and @t69 (= @t68 @t5))) % 21.98/22.58 (define @t71 () (= @t39 @t70)) % 21.98/22.58 (define @t72 () (forall @t40 @t71)) % 21.98/22.58 (define @t73 () (and @t33 @t72)) % 21.98/22.58 (define @t74 () (tptp.slbdtsldtrb0 @t1 @t5)) % 21.98/22.58 (define @t75 () (= @t15 @t74)) % 21.98/22.58 (define @t76 () (= @t75 @t73)) % 21.98/22.58 (define @t77 () (forall @t18 @t76)) % 21.98/22.58 (define @t78 () (=> @t61 @t77)) % 21.98/22.58 (define @t79 () (forall @t31 @t78)) % 21.98/22.58 (define @t80 () (tptp.slbdtsldtrb0 @t5 @t1)) % 21.98/22.58 (define @t81 () (tptp.aFunction0 @t1)) % 21.98/22.58 (define @t82 () (tptp.szDzozmdt0 @t1)) % 21.98/22.58 (define @t83 () (tptp.sdtlpdtrp0 @t1 @t5)) % 21.98/22.58 (define @t84 () (tptp.aElementOf0 @t5 @t82)) % 21.98/22.58 (define @t85 () (tptp.sdtlpdtrp0 @t1 @t35)) % 21.98/22.58 (define @t86 () (tptp.aElementOf0 @t35 @t82)) % 21.98/22.58 (define @t87 () (tptp.sdtlbdtrb0 @t1 @t5)) % 21.98/22.58 (define @t88 () (and @t81 @t6)) % 21.98/22.58 (define @t89 () (@var "W4" $$unsorted)) % 21.98/22.58 (define @t90 () (@list @t89)) % 21.98/22.58 (define @t91 () (tptp.sdtlcdtrc0 @t1 @t5)) % 21.98/22.58 (define @t92 () (tptp.aSubsetOf0 @t5 @t82)) % 21.98/22.58 (define @t93 () (tptp.sdtlcdtrc0 @t1 @t82)) % 21.98/22.58 (define @t94 () (tptp.szDzozmdt0 @t15)) % 21.98/22.58 (define @t95 () (tptp.aFunction0 @t15)) % 21.98/22.58 (define @t96 () (tptp.szDzizrdt0 @t1)) % 21.98/22.58 (define @t97 () (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 21.98/22.58 (define @t98 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 21.98/22.58 (define @t99 () (tptp.szDzozmdt0 tptp.xc)) % 21.98/22.58 (define @t100 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 21.98/22.58 (define @t101 () (= @t99 @t100)) % 21.98/22.58 (define @t102 () (@var "W5" $$unsorted)) % 21.98/22.58 (define @t103 () (tptp.szszuzczcdt0 tptp.xk)) % 21.98/22.58 (define @t104 () (tptp.sdtlpdtrp0 tptp.xN @t50)) % 21.98/22.58 (define @t105 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 21.98/22.58 (define @t106 () (tptp.szmzizndt0 @t105)) % 21.98/22.58 (define @t107 () (and (tptp.aSubsetOf0 @t105 tptp.szNzAzT0) (tptp.isCountable0 @t105))) % 21.98/22.58 (define @t108 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 21.98/22.58 (define @t109 () (tptp.szDzozmdt0 tptp.xN)) % 21.98/22.58 (define @t110 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 21.98/22.58 (define @t111 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 21.98/22.58 (define @t112 () (tptp.szmzizndt0 @t111)) % 21.98/22.58 (define @t113 () (tptp.sdtpldt0 tptp.xQ @t112)) % 21.98/22.58 (define @t114 () (tptp.sbrdtbr0 @t113)) % 21.98/22.58 (define @t115 () (tptp.aSubsetOf0 @t113 tptp.xS)) % 21.98/22.58 (define @t116 () (tptp.aElementOf0 @t113 @t100)) % 21.98/22.58 (define @t117 () (not @t116)) % 21.98/22.58 (define @t118 () (@var "BOUND_VARIABLE_8678" $$unsorted)) % 21.98/22.58 (define @t119 () (tptp.aElementOf0 @t35 @t118)) % 21.98/22.58 (define @t120 () (and @t69 (= @t5 @t68))) % 21.98/22.58 (define @t121 () (tptp.aSet0 @t118)) % 21.98/22.58 (define @t122 () (= (= @t74 @t118) (and @t121 (forall @t40 (= @t120 @t119))))) % 21.98/22.58 (define @t123 () (not @t53)) % 21.98/22.58 (define @t124 () (not @t2)) % 21.98/22.58 (define @t125 () (or @t124 @t123 @t122)) % 21.98/22.58 (define @t126 () (@list @t1 @t5 @t118)) % 21.98/22.58 (define @t127 () (forall @t40 (= @t119 @t120))) % 21.98/22.58 (define @t128 () (and @t121 @t127)) % 21.98/22.58 (define @t129 () (= (= @t118 @t74) @t128)) % 21.98/22.58 (define @t130 () (or @t124 @t123 @t129)) % 21.98/22.58 (define @t131 () (forall @t126 @t130)) % 21.98/22.58 (define @t132 () (@list @t118)) % 21.98/22.58 (define @t133 () (forall @t132 @t130)) % 21.98/22.58 (define @t134 () (forall @t132 @t129)) % 21.98/22.58 (define @t135 () (or @t124 @t123 @t134)) % 21.98/22.58 (define @t136 () (forall @t18 (= @t75 (and @t33 (forall @t40 (= @t39 @t120)))))) % 21.98/22.58 (define @t137 () (or @t124 @t123 @t136)) % 21.98/22.58 (define @t138 () (tptp.aSubsetOf0 @t35 @t108)) % 21.98/22.58 (define @t139 () (and @t138 (= @t103 @t68))) % 21.98/22.58 (define @t140 () (tptp.aElementOf0 @t35 @t99)) % 21.98/22.58 (define @t141 () (forall @t40 (= @t139 @t140))) % 21.98/22.58 (define @t142 () (tptp.aSet0 @t99)) % 21.98/22.58 (define @t143 () (and @t142 @t141)) % 21.98/22.58 (define @t144 () (tptp.slbdtsldtrb0 @t108 @t103)) % 21.98/22.58 (define @t145 () (= (= @t144 @t99) @t143)) % 21.98/22.58 (define @t146 () (tptp.aElementOf0 @t103 @t109)) % 21.98/22.58 (define @t147 () (not @t146)) % 21.98/22.58 (define @t148 () (tptp.aSet0 @t108)) % 21.98/22.58 (define @t149 () (not @t148)) % 21.98/22.58 (define @t150 () (or @t149 @t147 @t145)) % 21.98/22.58 (define @t151 () (forall @t126 (or @t124 (not (tptp.aElementOf0 @t5 @t109)) @t122))) % 21.98/22.58 (define @t152 () (forall @t40 (= @t140 (and @t138 (= @t68 @t103))))) % 21.98/22.58 (define @t153 () (and @t142 @t152)) % 21.98/22.58 (define @t154 () (= @t99 @t144)) % 21.98/22.58 (define @t155 () (= @t154 @t153)) % 21.98/22.58 (define @t156 () (or @t149 @t147 @t155)) % 21.98/22.58 (define @t157 () (@list false)) % 21.98/22.58 (define @t158 () (@var "BOUND_VARIABLE_8102" $$unsorted)) % 21.98/22.58 (define @t159 () (= (tptp.aSubsetOf0 @t158 @t1) (and (tptp.aSet0 @t158) (forall @t18 (or (not (tptp.aElementOf0 @t15 @t158)) @t16))))) % 21.98/22.58 (define @t160 () (or @t124 @t159)) % 21.98/22.58 (define @t161 () (@list @t158)) % 21.98/22.58 (define @t162 () (forall @t161 @t160)) % 21.98/22.58 (define @t163 () (forall @t161 @t159)) % 21.98/22.58 (define @t164 () (or @t124 @t163)) % 21.98/22.58 (define @t165 () (forall @t8 (= @t22 (and @t20 (forall @t18 (or (not @t17) @t16)))))) % 21.98/22.58 (define @t166 () (and @t148 (forall @t18 (or (not (tptp.aElementOf0 @t15 @t108)) (tptp.aElementOf0 @t15 @t109))))) % 21.98/22.58 (define @t167 () (tptp.aSubsetOf0 @t108 @t109)) % 21.98/22.58 (define @t168 () (= @t167 @t166)) % 21.98/22.58 (define @t169 () (tptp.aSet0 @t109)) % 21.98/22.58 (define @t170 () (not @t169)) % 21.98/22.58 (define @t171 () (or @t170 @t168)) % 21.98/22.58 (define @t172 () (@list false false)) % 21.98/22.58 (define @t173 () (tptp.aSubsetOf0 @t113 @t108)) % 21.98/22.58 (define @t174 () (and @t173 (= @t114 @t103))) % 21.98/22.58 (define @t175 () (tptp.aElementOf0 @t113 @t99)) % 21.98/22.58 (define @t176 () (= @t175 @t174)) % 21.98/22.58 (define @t177 () (= @t103 @t114)) % 21.98/22.58 (define @t178 () (and @t173 @t177)) % 21.98/22.58 (define @t179 () (= @t175 @t178)) % 21.98/22.58 (assume @p1 (forall @t3 (=> @t2 true))) % 21.98/22.58 (assume @p2 (forall @t3 (=> @t4 true))) % 21.98/22.58 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 21.98/22.58 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 21.98/22.58 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 21.98/22.58 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 21.98/22.58 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 21.98/22.58 (assume @p8 (forall @t3 (=> @t13 @t12))) % 21.98/22.58 (assume @p9 (forall @t3 (=> @t13 @t14))) % 21.98/22.58 (assume @p10 @t26) % 21.98/22.58 (assume @p11 (forall @t3 (=> @t28 (forall @t8 (=> @t22 @t27))))) % 21.98/22.58 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 21.98/22.58 (assume @p13 (forall @t31 (=> (and @t2 @t20) (=> (and @t30 @t22) @t29)))) % 21.98/22.58 (assume @p14 (forall @t34 (=> (and @t2 @t20 @t33) (=> (and @t30 @t32) (tptp.aSubsetOf0 @t1 @t15))))) % 21.98/22.58 (assume @p15 (forall @t31 (=> @t42 (forall @t18 (= (= @t15 @t41) (and @t33 (forall @t40 (= @t39 (and @t38 (or @t37 @t36)))))))))) % 21.98/22.58 (assume @p16 (forall @t31 (=> @t42 (forall @t18 (= (= @t15 @t43) (and @t33 (forall @t40 (= @t39 (and @t38 @t37 (not @t36)))))))))) % 21.98/22.58 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t43 @t5) @t1)))))) % 21.98/22.58 (assume @p18 (forall @t31 (=> (and @t4 @t20) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t44 @t1) @t5))))) % 21.98/22.58 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t44)))))) % 21.98/22.58 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t47)))))) % 21.98/22.58 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t44)))))) % 21.98/22.58 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t47)))))) % 21.98/22.58 (assume @p23 (and @t49 (tptp.isCountable0 tptp.szNzAzT0))) % 21.98/22.58 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 21.98/22.58 (assume @p25 (forall @t3 (=> @t51 (and (tptp.aElementOf0 @t50 tptp.szNzAzT0) (not (= @t50 tptp.sz00)))))) % 21.98/22.58 (assume @p26 (forall @t31 (=> @t54 (=> (= @t50 @t52) @t29)))) % 21.98/22.58 (assume @p27 (forall @t3 (=> @t51 (or @t55 (exists @t8 (and @t53 (= @t1 @t52))))))) % 21.98/22.58 (assume @p28 (forall @t3 (=> @t51 (not (= @t1 @t50))))) % 21.98/22.58 (assume @p29 (forall @t31 (=> @t54 (=> @t56 true)))) % 21.98/22.58 (assume @p30 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 21.98/22.58 (assume @p31 (forall @t3 (=> @t51 (not (tptp.sdtlseqdt0 @t50 tptp.sz00))))) % 21.98/22.58 (assume @p32 (forall @t31 (=> @t54 (= @t56 (tptp.sdtlseqdt0 @t50 @t52))))) % 21.98/22.58 (assume @p33 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t50)))) % 21.98/22.58 (assume @p34 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t1)))) % 21.98/22.58 (assume @p35 (forall @t31 (=> @t54 (=> (and @t56 @t57) @t29)))) % 21.98/22.58 (assume @p36 (forall @t34 (=> (and @t51 @t53 @t59) (=> (and @t56 @t58) (tptp.sdtlseqdt0 @t1 @t15))))) % 21.98/22.58 (assume @p37 (forall @t31 (=> @t54 (or @t56 (tptp.sdtlseqdt0 @t52 @t1))))) % 21.98/22.58 (assume @p38 (forall @t31 (=> @t54 (=> (tptp.iLess0 @t1 @t5) true)))) % 21.98/22.58 (assume @p39 (forall @t3 (=> @t51 (tptp.iLess0 @t1 @t50)))) % 21.98/22.58 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t60)))) % 21.98/22.58 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t60 tptp.szNzAzT0) @t9)))) % 21.98/22.58 (assume @p42 (forall @t3 (=> @t2 (= (= @t60 tptp.sz00) @t10)))) % 21.98/22.58 (assume @p43 (forall @t3 (=> @t28 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t41) (tptp.szszuzczcdt0 @t60)))))))) % 21.98/22.58 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t43)) @t60)))))) % 21.98/22.58 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t22) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t60)))))) % 21.98/22.58 (assume @p46 (forall @t31 (=> @t61 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t60)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 21.98/22.58 (assume @p47 (forall @t3 (=> (and @t63 @t14) (forall @t8 (= (= @t5 @t62) (and @t7 (forall @t18 (=> @t16 @t58)))))))) % 21.98/22.58 (assume @p48 (forall @t3 (=> (and @t63 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 21.98/22.58 (assume @p49 (forall @t31 (=> (and @t63 @t65 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t62 @t5) (tptp.aElementOf0 @t64 @t1)) (= @t62 @t64))))) % 21.98/22.58 (assume @p50 (forall @t3 (=> @t51 (forall @t8 (= (= @t5 @t66) (and @t20 (forall @t18 (= @t17 (and @t59 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 21.98/22.58 (assume @p51 (forall @t3 (=> @t51 (tptp.isFinite0 @t66)))) % 21.98/22.58 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 21.98/22.58 (assume @p53 (forall @t31 (=> @t54 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t52)) (or (tptp.aElementOf0 @t1 @t67) @t29))))) % 21.98/22.58 (assume @p54 (forall @t31 (=> @t54 (= @t56 (tptp.aSubsetOf0 @t66 @t67))))) % 21.98/22.58 (assume @p55 (forall @t3 (=> (and @t63 @t9) (exists @t8 (and @t53 (tptp.aSubsetOf0 @t1 @t67)))))) % 21.98/22.58 (assume @p56 (forall @t3 (=> @t51 (= (tptp.sbrdtbr0 @t66) @t1)))) % 21.98/22.58 (assume @p57 @t79) % 21.98/22.58 (assume @p58 (forall @t3 (=> @t28 (forall @t8 (=> @t53 (tptp.isFinite0 @t74)))))) % 21.98/22.58 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t53 (not (= @t74 tptp.slcrc0))))))) % 21.98/22.58 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t53 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t74)))))) % 21.98/22.58 (assume @p61 (forall @t3 (=> @t51 (forall (@list @t5 @t15) (=> (and @t20 @t33 (not @t55)) (=> (and (tptp.aSubsetOf0 @t80 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t80 tptp.slcrc0))) @t32)))))) % 21.98/22.58 (assume @p62 (forall @t31 (=> @t61 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t74) (tptp.isFinite0 @t15)) (exists @t40 (and @t69 (tptp.isFinite0 @t35) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t35 @t5))))))))) % 21.98/22.58 (assume @p63 (forall @t3 (=> @t81 true))) % 21.98/22.58 (assume @p64 (forall @t3 (=> @t81 (tptp.aSet0 @t82)))) % 21.98/22.58 (assume @p65 (forall @t3 (=> @t81 (forall @t8 (=> @t84 (tptp.aElement0 @t83)))))) % 21.98/22.58 (assume @p66 (forall @t31 (=> @t88 (forall @t18 (= (= @t15 @t87) (and @t33 (forall @t40 (= @t39 (and @t86 (= @t85 @t5)))))))))) % 21.98/22.58 (assume @p67 (forall @t31 (=> @t88 (tptp.aSubsetOf0 @t87 @t82)))) % 21.98/22.58 (assume @p68 (forall @t3 (=> @t81 (forall @t8 (=> @t92 (forall @t18 (= (= @t15 @t91) (and @t33 (forall @t40 (= @t39 (exists @t90 (and (tptp.aElementOf0 @t89 @t5) (= (tptp.sdtlpdtrp0 @t1 @t89) @t35))))))))))))) % 21.98/22.58 (assume @p69 (forall @t3 (=> @t81 (forall @t8 (=> @t84 (tptp.aElementOf0 @t83 @t93)))))) % 21.98/22.58 (assume @p70 (forall @t3 (=> @t81 (forall @t8 (=> @t92 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t95 (= @t94 @t5) (forall @t40 (=> (tptp.aElementOf0 @t35 @t5) (= (tptp.sdtlpdtrp0 @t15 @t35) @t85))))))))))) % 21.98/22.58 (assume @p71 (forall @t3 (=> @t81 (forall @t8 (=> (and @t92 @t45) (=> (forall (@list @t15 @t35) (=> (and (tptp.aElementOf0 @t15 @t82) @t86 (not (= @t15 @t35))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t85)))) (tptp.isCountable0 @t91))))))) % 21.98/22.58 (assume @p72 (forall @t3 (=> @t81 (=> (and (tptp.isCountable0 @t82) (tptp.isFinite0 @t93)) (and (tptp.aElement0 @t96) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t96))))))) % 21.98/22.58 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 21.98/22.58 (assume @p74 @t97) % 21.98/22.58 (assume @p75 (and @t98 (tptp.isCountable0 tptp.xS))) % 21.98/22.58 (assume @p76 (and (tptp.aFunction0 tptp.xc) @t101 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t99) tptp.xT))) % 21.98/22.58 (assume @p77 (forall @t3 (=> @t51 (forall @t8 (=> (and @t65 @t45) (forall @t18 (=> (and @t95 (= @t94 @t80) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t94) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t40 (and (tptp.aElementOf0 @t35 tptp.xT) (exists @t90 (and (tptp.aSubsetOf0 @t89 @t5) (tptp.isCountable0 @t89) (forall (@list @t102) (=> (tptp.aElementOf0 @t102 (tptp.slbdtsldtrb0 @t89 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t102) @t35))))))))))))))) % 21.98/22.58 (assume @p78 (not (= tptp.xK tptp.sz00))) % 21.98/22.58 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= @t103 tptp.xK))) % 21.98/22.58 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t109 tptp.szNzAzT0) (= @t108 tptp.xS) (forall @t3 (=> @t51 (=> @t107 (and (tptp.aSubsetOf0 @t104 (tptp.sdtmndt0 @t105 @t106)) (tptp.isCountable0 @t104))))))) % 21.98/22.58 (assume @p81 (forall @t3 (=> @t51 @t107))) % 21.98/22.58 (assume @p82 (forall @t31 (=> @t54 (=> @t57 (tptp.aSubsetOf0 @t105 @t110))))) % 21.98/22.58 (assume @p83 (forall @t31 (=> (and @t51 @t53 (not @t29)) (not (= @t106 (tptp.szmzizndt0 @t110)))))) % 21.98/22.58 (assume @p84 (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 21.98/22.58 (assume @p85 (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 (tptp.sdtmndt0 @t111 @t112) tptp.xk))) % 21.98/22.58 (assume @p86 (= @t114 tptp.xK)) % 21.98/22.58 (assume @p87 @t115) % 21.98/22.58 (assume @p88 @t117) % 21.98/22.58 (assume @p89 true) % 21.98/22.58 (step @p90 :rule evaluate :args ((= false true))) % 21.98/22.58 (step @p91 :rule refl :args (@t122)) % 21.98/22.58 (step @p92 :rule and_elim :premises (@p80) :args (1)) % 21.98/22.58 (step @p93 :rule symm :premises (@p92)) % 21.98/22.58 (step @p94 :rule refl :args (@t5)) % 21.98/22.58 (step @p95 :rule cong :premises (@p94 @p93) :args (@t53)) % 21.98/22.58 (step @p96 :rule cong :premises (@p95) :args (@t123)) % 21.98/22.58 (step @p97 :rule refl :args (@t124)) % 21.98/22.58 (step @p98 :rule nary_cong :premises (@p97 @p96 @p91) :args (@t125)) % 21.98/22.58 (step @p99 :rule cong :premises (@p98) :args ((forall @t126 @t125))) % 21.98/22.58 (step @p100 :rule eq-symm :args (@t119 @t120)) % 21.98/22.58 (step @p101 :rule cong :premises (@p100) :args (@t127)) % 21.98/22.58 (step @p102 :rule refl :args (@t121)) % 21.98/22.58 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t128)) % 21.98/22.58 (step @p104 :rule eq-symm :args (@t118 @t74)) % 21.98/22.58 (step @p105 :rule cong :premises (@p104 @p103) :args (@t129)) % 21.98/22.58 (step @p106 :rule refl :args (@t123)) % 21.98/22.58 (step @p107 :rule nary_cong :premises (@p97 @p106 @p105) :args (@t130)) % 21.98/22.58 (step @p108 :rule cong :premises (@p107) :args (@t131)) % 21.98/22.58 (step @p109 :rule quant-merge-prenex :args ((= (forall @t31 @t133) @t131))) % 21.98/22.58 (step @p110 :rule alpha_equiv :args (@t134 (@list @t118) (@list @t15))) % 21.98/22.58 (step @p111 :rule refl :args (@t123)) % 21.98/22.58 (step @p112 :rule refl :args (@t124)) % 21.98/22.58 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t135)) % 21.98/22.58 (step @p114 :rule quant-miniscope-or :args ((= @t133 @t135))) % 21.98/22.58 (step @p115 :rule trans :premises (@p114 @p113)) % 21.98/22.58 (step @p116 :rule symm :premises (@p115)) % 21.98/22.58 (step @p117 :rule cong :premises (@p116) :args ((forall @t31 @t137))) % 21.98/22.58 (step @p118 :rule trans :premises (@p117 @p109)) % 21.98/22.58 (step @p119 :rule trans :premises (@p118 @p108)) % 21.98/22.58 (step @p120 :rule aci_norm :args ((= (or (or @t124 @t123) @t136) @t137))) % 21.98/22.58 (step @p121 :rule refl :args (@t136)) % 21.98/22.58 (step @p122 :rule bool-and-de-morgan :args (@t2 @t53 true)) % 21.98/22.58 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t61) @t136))) % 21.98/22.58 (step @p124 :rule trans :premises (@p123 @p120)) % 21.98/22.58 (step @p125 :rule bool-impl-elim :args (@t61 @t136)) % 21.98/22.58 (step @p126 :rule trans :premises (@p125 @p124)) % 21.98/22.58 (step @p127 :rule cong :premises (@p126) :args ((forall @t31 (=> @t61 @t136)))) % 21.98/22.58 (step @p128 :rule trans :premises (@p127 @p119)) % 21.98/22.58 (step @p129 :rule eq-symm :args (@t68 @t5)) % 21.98/22.58 (step @p130 :rule refl :args (@t69)) % 21.98/22.58 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t70)) % 21.98/22.58 (step @p132 :rule refl :args (@t39)) % 21.98/22.58 (step @p133 :rule cong :premises (@p132 @p131) :args (@t71)) % 21.98/22.58 (step @p134 :rule cong :premises (@p133) :args (@t72)) % 21.98/22.58 (step @p135 :rule refl :args (@t33)) % 21.98/22.58 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t73)) % 21.98/22.58 (step @p137 :rule refl :args (@t75)) % 21.98/22.58 (step @p138 :rule cong :premises (@p137 @p136) :args (@t76)) % 21.98/22.58 (step @p139 :rule cong :premises (@p138) :args (@t77)) % 21.98/22.58 (step @p140 :rule refl :args (@t61)) % 21.98/22.58 (step @p141 :rule cong :premises (@p140 @p139) :args (@t78)) % 21.98/22.58 (step @p142 :rule cong :premises (@p141) :args (@t79)) % 21.98/22.58 (step @p143 :rule trans :premises (@p142 @p128)) % 21.98/22.58 (step @p144 :rule trans :premises (@p143 @p99)) % 21.98/22.58 (step @p145 :rule eq_resolve :premises (@p57 @p144)) % 21.98/22.58 (step @p146 :rule eq-symm :args (@t103 @t68)) % 21.98/22.58 (step @p147 :rule refl :args (@t138)) % 21.98/22.58 (step @p148 :rule nary_cong :premises (@p147 @p146) :args (@t139)) % 21.98/22.58 (step @p149 :rule refl :args (@t140)) % 21.98/22.58 (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t140 @t139))) % 21.98/22.58 (step @p151 :rule eq-symm :args (@t139 @t140)) % 21.98/22.58 (step @p152 :rule trans :premises (@p151 @p150)) % 21.98/22.58 (step @p153 :rule cong :premises (@p152) :args (@t141)) % 21.98/22.58 (step @p154 :rule refl :args (@t142)) % 21.98/22.58 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t143)) % 21.98/22.58 (step @p156 :rule eq-symm :args (@t144 @t99)) % 21.98/22.58 (step @p157 :rule cong :premises (@p156 @p155) :args (@t145)) % 21.98/22.58 (step @p158 :rule refl :args (@t147)) % 21.98/22.58 (step @p159 :rule refl :args (@t149)) % 21.98/22.58 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args (@t150)) % 21.98/22.58 (step @p161 :rule refl :args (@t151)) % 21.98/22.58 (step @p162 :rule cong :premises (@p161 @p160) :args ((=> @t151 @t150))) % 21.98/22.58 (assume-push @p267 @t151) % 21.98/22.58 (step @p164 :rule instantiate :premises (@p145) :args ((@list @t108 @t103 @t99))) % 21.98/22.58 (step-pop @p268 :rule scope :premises (@p164)) % 21.98/22.58 (step @p165 :rule process_scope :premises (@p268) :args (@t150)) % 21.98/22.58 (step @p167 :rule eq_resolve :premises (@p165 @p162)) % 21.98/22.58 (step @p168 :rule implies_elim :premises (@p167)) % 21.98/22.58 (step @p169 :rule chain_m_resolution :premises (@p168 @p145) :args (@t156 @t157 (@list @t151))) % 21.98/22.58 (step @p170 :rule quant-merge-prenex :args ((= (forall @t3 @t162) (forall (@list @t1 @t158) @t160)))) % 21.98/22.58 (step @p171 :rule alpha_equiv :args (@t163 (@list @t158) (@list @t5))) % 21.98/22.58 (step @p172 :rule nary_cong :premises (@p112 @p171) :args (@t164)) % 21.98/22.58 (step @p173 :rule quant-miniscope-or :args ((= @t162 @t164))) % 21.98/22.58 (step @p174 :rule trans :premises (@p173 @p172)) % 21.98/22.58 (step @p175 :rule symm :premises (@p174)) % 21.98/22.58 (step @p176 :rule cong :premises (@p175) :args ((forall @t3 (or @t124 @t165)))) % 21.98/22.58 (step @p177 :rule trans :premises (@p176 @p170)) % 21.98/22.58 (step @p178 :rule bool-impl-elim :args (@t2 @t165)) % 21.98/22.58 (step @p179 :rule cong :premises (@p178) :args ((forall @t3 (=> @t2 @t165)))) % 21.98/22.58 (step @p180 :rule trans :premises (@p179 @p177)) % 21.98/22.58 (step @p181 :rule bool-impl-elim :args (@t17 @t16)) % 21.98/22.58 (step @p182 :rule cong :premises (@p181) :args (@t19)) % 21.98/22.58 (step @p183 :rule refl :args (@t20)) % 21.98/22.58 (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t21)) % 21.98/22.58 (step @p185 :rule refl :args (@t22)) % 21.98/22.58 (step @p186 :rule cong :premises (@p185 @p184) :args (@t23)) % 21.98/22.58 (step @p187 :rule cong :premises (@p186) :args (@t24)) % 21.98/22.58 (step @p188 :rule refl :args (@t2)) % 21.98/22.58 (step @p189 :rule cong :premises (@p188 @p187) :args (@t25)) % 21.98/22.58 (step @p190 :rule cong :premises (@p189) :args (@t26)) % 21.98/22.58 (step @p191 :rule trans :premises (@p190 @p180)) % 21.98/22.58 (step @p192 :rule eq_resolve :premises (@p10 @p191)) % 21.98/22.58 (step @p193 :rule instantiate :premises (@p192) :args ((@list @t109 @t108))) % 21.98/22.58 (step @p194 :rule cong :premises (@p93) :args (@t49)) % 21.98/22.58 (step @p195 :rule and_elim :premises (@p23) :args (0)) % 21.98/22.58 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 21.98/22.58 (step @p197 :rule cnf_or_pos :args (@t171)) % 21.98/22.58 (step @p198 :rule reordering :premises (@p197) :args ((or @t170 @t168 (not @t171)))) % 21.98/22.58 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p193) :args (@t168 @t172 (@list @t169 @t171))) % 21.98/22.58 (step @p200 :rule and_elim :premises (@p80) :args (2)) % 21.98/22.58 (step @p201 :rule symm :premises (@p200)) % 21.98/22.58 (step @p202 :rule cong :premises (@p201 @p93) :args (@t98)) % 21.98/22.58 (step @p203 :rule and_elim :premises (@p75) :args (0)) % 21.98/22.58 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 21.98/22.58 (step @p205 :rule cnf_equiv_pos1 :args (@t168)) % 21.98/22.58 (step @p206 :rule reordering :premises (@p205) :args ((or (not @t167) @t166 (not @t168)))) % 21.98/22.58 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p199) :args (@t166 @t172 (@list @t167 @t168))) % 21.98/22.58 (step @p208 :rule cnf_and_pos :args (@t166 0)) % 21.98/22.58 (step @p209 :rule reordering :premises (@p208) :args ((or @t148 (not @t166)))) % 21.98/22.58 (step @p210 :rule chain_m_resolution :premises (@p209 @p207) :args (@t148 @t157 (@list @t166))) % 21.98/22.58 (step @p211 :rule and_elim :premises (@p79) :args (1)) % 21.98/22.59 (step @p212 :rule symm :premises (@p211)) % 21.98/22.59 (step @p213 :rule cong :premises (@p212 @p93) :args (@t97)) % 21.98/22.59 (step @p214 :rule eq_resolve :premises (@p74 @p213)) % 21.98/22.59 (step @p215 :rule cnf_or_pos :args (@t156)) % 21.98/22.59 (step @p216 :rule reordering :premises (@p215) :args ((or @t147 @t149 @t155 (not @t156)))) % 21.98/22.59 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p210 @p169) :args (@t155 (@list false false false) (@list @t146 @t148 @t156))) % 21.98/22.59 (step @p218 :rule cong :premises (@p201 @p212) :args (@t100)) % 21.98/22.59 (step @p219 :rule refl :args (@t99)) % 21.98/22.59 (step @p220 :rule cong :premises (@p219 @p218) :args (@t101)) % 21.98/22.59 (step @p221 :rule and_elim :premises (@p76) :args (1)) % 21.98/22.59 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 21.98/22.59 (step @p223 :rule cnf_equiv_pos1 :args (@t155)) % 21.98/22.59 (step @p224 :rule reordering :premises (@p223) :args ((or (not @t154) @t153 (not @t155)))) % 21.98/22.59 (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p217) :args (@t153 @t172 (@list @t154 @t155))) % 21.98/22.59 (step @p226 :rule cnf_and_pos :args (@t153 1)) % 21.98/22.59 (step @p227 :rule reordering :premises (@p226) :args ((or @t152 (not @t153)))) % 21.98/22.59 (step @p228 :rule chain_m_resolution :premises (@p227 @p225) :args (@t152 @t157 (@list @t153))) % 21.98/22.59 (step @p229 :rule eq-symm :args (@t114 @t103)) % 21.98/22.59 (step @p230 :rule refl :args (@t173)) % 21.98/22.59 (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t174)) % 21.98/22.59 (step @p232 :rule refl :args (@t175)) % 21.98/22.59 (step @p233 :rule cong :premises (@p232 @p231) :args (@t176)) % 21.98/22.59 (step @p234 :rule refl :args (@t152)) % 21.98/22.59 (step @p235 :rule cong :premises (@p234 @p233) :args ((=> @t152 @t176))) % 21.98/22.59 (assume-push @p269 @t152) % 21.98/22.59 (step @p237 :rule instantiate :premises (@p228) :args ((@list @t113))) % 21.98/22.59 (step-pop @p270 :rule scope :premises (@p237)) % 21.98/22.59 (step @p238 :rule process_scope :premises (@p270) :args (@t176)) % 21.98/22.59 (step @p240 :rule eq_resolve :premises (@p238 @p235)) % 21.98/22.59 (step @p241 :rule implies_elim :premises (@p240)) % 21.98/22.59 (step @p242 :rule chain_m_resolution :premises (@p241 @p228) :args (@t179 @t157 (@list @t152))) % 21.98/22.59 (step @p243 :rule refl :args (@t113)) % 21.98/22.59 (step @p244 :rule cong :premises (@p243 @p201) :args (@t115)) % 21.98/22.59 (step @p245 :rule eq_resolve :premises (@p87 @p244)) % 21.98/22.59 (step @p246 :rule refl :args (@t114)) % 21.98/22.59 (step @p247 :rule cong :premises (@p212 @p246) :args ((= tptp.xK @t114))) % 21.98/22.59 (step @p248 :rule eq-symm :args (@t114 tptp.xK)) % 21.98/22.59 (step @p249 :rule trans :premises (@p248 @p247)) % 21.98/22.59 (step @p250 :rule eq_resolve :premises (@p86 @p249)) % 21.98/22.59 (step @p251 :rule cnf_and_neg :args (@t178)) % 21.98/22.59 (step @p252 :rule reordering :premises (@p251) :args ((or (not @t177) (not @t173) @t178))) % 21.98/22.59 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p245) :args (@t178 @t172 (@list @t177 @t173))) % 21.98/22.59 (step @p254 :rule cnf_equiv_pos2 :args (@t179)) % 21.98/22.59 (step @p255 :rule reordering :premises (@p254) :args ((or @t175 (not @t178) (not @t179)))) % 21.98/22.59 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p242) :args (@t175 @t172 (@list @t178 @t179))) % 21.98/22.59 (step @p257 :rule true_intro :premises (@p256)) % 21.98/22.59 (step @p258 :rule symm :premises (@p222)) % 21.98/22.59 (step @p259 :rule cong :premises (@p243 @p258) :args ((tptp.aElementOf0 @t113 @t144))) % 21.98/22.59 (step @p260 :rule cong :premises (@p243 @p218) :args (@t116)) % 21.98/22.59 (step @p261 :rule cong :premises (@p260) :args (@t117)) % 21.98/22.59 (step @p262 :rule eq_resolve :premises (@p88 @p261)) % 21.98/22.59 (step @p263 :rule false_intro :premises (@p262)) % 21.98/22.59 (step @p264 :rule symm :premises (@p263)) % 21.98/22.59 (step @p265 :rule trans :premises (@p264 @p259 @p257)) % 21.98/22.59 (step @p266 false :rule eq_resolve :premises (@p265 @p90)) % 21.98/22.59 ) % 21.98/22.59 % SZS output end Proof % 21.98/22.59 % cvc5 exiting %------------------------------------------------------------------------------