%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM607+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 : n013.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 08:39:59 AM UTC 2026 % Result : Theorem 160.47s 160.73s % Output : Proof 160.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM607+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 % 0.17/0.34 % Computer : n013.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 11:36:00 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 160.47/160.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 160.47/160.73 --- Run --no-e-matching --full-saturate-quant at 6... % 160.47/160.73 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 160.47/160.73 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 160.47/160.73 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 160.47/160.73 --- Run --trigger-sel=max --full-saturate-quant at 15... % 160.47/160.73 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 160.47/160.73 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 160.47/160.73 --- Run --prenex-quant=none --full-saturate-quant at 30... % 160.47/160.73 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 160.47/160.73 % SZS status Theorem % 160.47/160.73 % SZS output start Proof % 160.47/160.73 ( % 160.47/160.73 (declare-sort $$unsorted 0) % 160.47/160.73 (declare-const tptp.xQ $$unsorted) % 160.47/160.73 (declare-const tptp.xe $$unsorted) % 160.47/160.73 (declare-const tptp.xC $$unsorted) % 160.47/160.73 (declare-const tptp.xN $$unsorted) % 160.47/160.73 (declare-const tptp.sz00 $$unsorted) % 160.47/160.73 (declare-const tptp.xc $$unsorted) % 160.47/160.73 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 160.47/160.73 (declare-const tptp.szNzAzT0 $$unsorted) % 160.47/160.73 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 160.47/160.73 (declare-const tptp.xd $$unsorted) % 160.47/160.73 (declare-const tptp.xk $$unsorted) % 160.47/160.73 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 160.47/160.73 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 160.47/160.73 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 160.47/160.73 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 160.47/160.73 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 160.47/160.73 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 160.47/160.73 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 160.47/160.73 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.xK $$unsorted) % 160.47/160.73 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.xT $$unsorted) % 160.47/160.73 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.xO $$unsorted) % 160.47/160.73 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.xS $$unsorted) % 160.47/160.73 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.slcrc0 $$unsorted) % 160.47/160.73 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 160.47/160.73 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 160.47/160.73 (define @t1 () (@var "W0" $$unsorted)) % 160.47/160.73 (define @t2 () (tptp.aSet0 @t1)) % 160.47/160.73 (define @t3 () (@list @t1)) % 160.47/160.73 (define @t4 () (tptp.aElement0 @t1)) % 160.47/160.73 (define @t5 () (@var "W1" $$unsorted)) % 160.47/160.73 (define @t6 () (tptp.aElement0 @t5)) % 160.47/160.73 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 160.47/160.73 (define @t8 () (@list @t5)) % 160.47/160.73 (define @t9 () (tptp.isFinite0 @t1)) % 160.47/160.73 (define @t10 () (= @t1 tptp.slcrc0)) % 160.47/160.73 (define @t11 () (tptp.isCountable0 @t1)) % 160.47/160.73 (define @t12 () (not @t9)) % 160.47/160.73 (define @t13 () (and @t2 @t11)) % 160.47/160.73 (define @t14 () (not @t10)) % 160.47/160.73 (define @t15 () (@var "W2" $$unsorted)) % 160.47/160.73 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 160.47/160.73 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 160.47/160.73 (define @t18 () (@list @t15)) % 160.47/160.73 (define @t19 () (forall @t18 (=> @t17 @t16))) % 160.47/160.73 (define @t20 () (tptp.aSet0 @t5)) % 160.47/160.73 (define @t21 () (and @t20 @t19)) % 160.47/160.73 (define @t22 () (tptp.aSubsetOf0 @t5 @t1)) % 160.47/160.73 (define @t23 () (= @t22 @t21)) % 160.47/160.73 (define @t24 () (forall @t8 @t23)) % 160.47/160.73 (define @t25 () (=> @t2 @t24)) % 160.47/160.73 (define @t26 () (forall @t3 @t25)) % 160.47/160.73 (define @t27 () (tptp.isFinite0 @t5)) % 160.47/160.73 (define @t28 () (and @t2 @t9)) % 160.47/160.73 (define @t29 () (= @t1 @t5)) % 160.47/160.73 (define @t30 () (tptp.aSubsetOf0 @t1 @t5)) % 160.47/160.73 (define @t31 () (@list @t1 @t5)) % 160.47/160.73 (define @t32 () (tptp.aSubsetOf0 @t1 @t15)) % 160.47/160.73 (define @t33 () (tptp.aSubsetOf0 @t5 @t15)) % 160.47/160.73 (define @t34 () (and @t30 @t33)) % 160.47/160.73 (define @t35 () (=> @t34 @t32)) % 160.47/160.73 (define @t36 () (tptp.aSet0 @t15)) % 160.47/160.73 (define @t37 () (and @t2 @t20 @t36)) % 160.47/160.73 (define @t38 () (@list @t1 @t5 @t15)) % 160.47/160.73 (define @t39 () (forall @t38 (=> @t37 @t35))) % 160.47/160.73 (define @t40 () (@var "W3" $$unsorted)) % 160.47/160.73 (define @t41 () (= @t40 @t5)) % 160.47/160.73 (define @t42 () (tptp.aElementOf0 @t40 @t1)) % 160.47/160.73 (define @t43 () (tptp.aElement0 @t40)) % 160.47/160.73 (define @t44 () (tptp.aElementOf0 @t40 @t15)) % 160.47/160.73 (define @t45 () (@list @t40)) % 160.47/160.73 (define @t46 () (tptp.sdtpldt0 @t1 @t5)) % 160.47/160.73 (define @t47 () (and @t2 @t6)) % 160.47/160.73 (define @t48 () (tptp.sdtmndt0 @t1 @t5)) % 160.47/160.73 (define @t49 () (tptp.sdtpldt0 @t5 @t1)) % 160.47/160.73 (define @t50 () (tptp.isCountable0 @t5)) % 160.47/160.73 (define @t51 () (and @t20 @t50)) % 160.47/160.73 (define @t52 () (tptp.sdtmndt0 @t5 @t1)) % 160.47/160.73 (define @t53 () (and @t20 @t27)) % 160.47/160.73 (define @t54 () (tptp.aSet0 tptp.szNzAzT0)) % 160.47/160.73 (define @t55 () (tptp.szszuzczcdt0 @t1)) % 160.47/160.73 (define @t56 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 160.47/160.73 (define @t57 () (tptp.szszuzczcdt0 @t5)) % 160.47/160.73 (define @t58 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 160.47/160.73 (define @t59 () (and @t56 @t58)) % 160.47/160.73 (define @t60 () (= @t1 tptp.sz00)) % 160.47/160.73 (define @t61 () (tptp.sdtlseqdt0 @t1 @t5)) % 160.47/160.73 (define @t62 () (tptp.sdtlseqdt0 @t5 @t1)) % 160.47/160.73 (define @t63 () (tptp.sdtlseqdt0 @t5 @t15)) % 160.47/160.73 (define @t64 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 160.47/160.73 (define @t65 () (tptp.sbrdtbr0 @t1)) % 160.47/160.73 (define @t66 () (and @t2 @t58)) % 160.47/160.73 (define @t67 () (tptp.szmzizndt0 @t1)) % 160.47/160.73 (define @t68 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 160.47/160.73 (define @t69 () (tptp.szmzizndt0 @t5)) % 160.47/160.73 (define @t70 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 160.47/160.73 (define @t71 () (tptp.slbdtrb0 @t1)) % 160.47/160.73 (define @t72 () (tptp.slbdtrb0 @t5)) % 160.47/160.73 (define @t73 () (tptp.sbrdtbr0 @t40)) % 160.47/160.73 (define @t74 () (tptp.aSubsetOf0 @t40 @t1)) % 160.47/160.73 (define @t75 () (and @t74 (= @t73 @t5))) % 160.47/160.73 (define @t76 () (= @t44 @t75)) % 160.47/160.73 (define @t77 () (forall @t45 @t76)) % 160.47/160.73 (define @t78 () (and @t36 @t77)) % 160.47/160.73 (define @t79 () (tptp.slbdtsldtrb0 @t1 @t5)) % 160.47/160.73 (define @t80 () (= @t15 @t79)) % 160.47/160.73 (define @t81 () (= @t80 @t78)) % 160.47/160.73 (define @t82 () (forall @t18 @t81)) % 160.47/160.73 (define @t83 () (=> @t66 @t82)) % 160.47/160.73 (define @t84 () (forall @t31 @t83)) % 160.47/160.73 (define @t85 () (tptp.slbdtsldtrb0 @t5 @t1)) % 160.47/160.73 (define @t86 () (tptp.aFunction0 @t1)) % 160.47/160.73 (define @t87 () (tptp.szDzozmdt0 @t1)) % 160.47/160.73 (define @t88 () (tptp.sdtlpdtrp0 @t1 @t5)) % 160.47/160.73 (define @t89 () (tptp.aElementOf0 @t5 @t87)) % 160.47/160.73 (define @t90 () (tptp.sdtlpdtrp0 @t1 @t40)) % 160.47/160.73 (define @t91 () (tptp.aElementOf0 @t40 @t87)) % 160.47/160.73 (define @t92 () (tptp.sdtlbdtrb0 @t1 @t5)) % 160.47/160.73 (define @t93 () (and @t86 @t6)) % 160.47/160.73 (define @t94 () (@var "W4" $$unsorted)) % 160.47/160.73 (define @t95 () (@list @t94)) % 160.47/160.73 (define @t96 () (tptp.sdtlcdtrc0 @t1 @t5)) % 160.47/160.73 (define @t97 () (tptp.aSubsetOf0 @t5 @t87)) % 160.47/160.73 (define @t98 () (tptp.sdtlcdtrc0 @t1 @t87)) % 160.47/160.73 (define @t99 () (tptp.szDzozmdt0 @t15)) % 160.47/160.73 (define @t100 () (tptp.aFunction0 @t15)) % 160.47/160.73 (define @t101 () (tptp.szDzizrdt0 @t1)) % 160.47/160.73 (define @t102 () (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 160.47/160.73 (define @t103 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 160.47/160.73 (define @t104 () (tptp.szDzozmdt0 tptp.xc)) % 160.47/160.73 (define @t105 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 160.47/160.73 (define @t106 () (= @t104 @t105)) % 160.47/160.73 (define @t107 () (@var "W5" $$unsorted)) % 160.47/160.73 (define @t108 () (tptp.szszuzczcdt0 tptp.xk)) % 160.47/160.73 (define @t109 () (tptp.sdtlpdtrp0 tptp.xN @t55)) % 160.47/160.73 (define @t110 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 160.47/160.73 (define @t111 () (tptp.szmzizndt0 @t110)) % 160.47/160.73 (define @t112 () (tptp.sdtmndt0 @t110 @t111)) % 160.47/160.73 (define @t113 () (and (tptp.aSubsetOf0 @t110 tptp.szNzAzT0) (tptp.isCountable0 @t110))) % 160.47/160.73 (define @t114 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 160.47/160.73 (define @t115 () (tptp.szDzozmdt0 tptp.xN)) % 160.47/160.73 (define @t116 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 160.47/160.73 (define @t117 () (tptp.sdtpldt0 @t5 @t111)) % 160.47/160.73 (define @t118 () (tptp.slbdtsldtrb0 @t112 tptp.xk)) % 160.47/160.73 (define @t119 () (and @t20 (tptp.aElementOf0 @t5 @t118))) % 160.47/160.73 (define @t120 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 160.47/160.73 (define @t121 () (tptp.sdtlpdtrp0 @t120 @t5)) % 160.47/160.73 (define @t122 () (tptp.szDzozmdt0 @t120)) % 160.47/160.73 (define @t123 () (tptp.aElementOf0 @t5 tptp.xT)) % 160.47/160.73 (define @t124 () (tptp.slbdtsldtrb0 @t109 tptp.xk)) % 160.47/160.73 (define @t125 () (tptp.szDzozmdt0 tptp.xd)) % 160.47/160.73 (define @t126 () (tptp.szDzizrdt0 tptp.xd)) % 160.47/160.73 (define @t127 () (tptp.sdtlbdtrb0 tptp.xd @t126)) % 160.47/160.73 (define @t128 () (tptp.sdtlcdtrc0 tptp.xe @t127)) % 160.47/160.73 (define @t129 () (tptp.aSet0 tptp.xO)) % 160.47/160.73 (define @t130 () (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 160.47/160.73 (define @t131 () (tptp.slbdtsldtrb0 tptp.xO tptp.xK)) % 160.47/160.73 (define @t132 () (tptp.aElementOf0 tptp.xQ @t131)) % 160.47/160.73 (define @t133 () (tptp.aSubsetOf0 tptp.xQ tptp.xO)) % 160.47/160.73 (define @t134 () (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) % 160.47/160.73 (define @t135 () (tptp.aElementOf0 tptp.xQ @t104)) % 160.47/160.73 (define @t136 () (not @t33)) % 160.47/160.73 (define @t137 () (not @t30)) % 160.47/160.73 (define @t138 () (not @t36)) % 160.47/160.73 (define @t139 () (not @t20)) % 160.47/160.73 (define @t140 () (not @t2)) % 160.47/160.73 (define @t141 () (or @t140 @t139 @t138 @t137 @t136 @t32)) % 160.47/160.73 (define @t142 () (or @t137 @t136 @t32)) % 160.47/160.73 (define @t143 () (or @t140 @t139 @t138)) % 160.47/160.73 (define @t144 () (@var "BOUND_VARIABLE_8795" $$unsorted)) % 160.47/160.73 (define @t145 () (tptp.aElementOf0 @t40 @t144)) % 160.47/160.73 (define @t146 () (and @t74 (= @t5 @t73))) % 160.47/160.73 (define @t147 () (tptp.aSet0 @t144)) % 160.47/160.73 (define @t148 () (= (= @t79 @t144) (and @t147 (forall @t45 (= @t146 @t145))))) % 160.47/160.73 (define @t149 () (not @t58)) % 160.47/160.73 (define @t150 () (or @t140 @t149 @t148)) % 160.47/160.73 (define @t151 () (@list @t1 @t5 @t144)) % 160.47/160.73 (define @t152 () (forall @t45 (= @t145 @t146))) % 160.47/160.73 (define @t153 () (and @t147 @t152)) % 160.47/160.73 (define @t154 () (= (= @t144 @t79) @t153)) % 160.47/160.73 (define @t155 () (or @t140 @t149 @t154)) % 160.47/160.73 (define @t156 () (forall @t151 @t155)) % 160.47/160.73 (define @t157 () (@list @t144)) % 160.47/160.73 (define @t158 () (forall @t157 @t155)) % 160.47/160.73 (define @t159 () (forall @t157 @t154)) % 160.47/160.73 (define @t160 () (or @t140 @t149 @t159)) % 160.47/160.73 (define @t161 () (forall @t18 (= @t80 (and @t36 (forall @t45 (= @t44 @t146)))))) % 160.47/160.73 (define @t162 () (or @t140 @t149 @t161)) % 160.47/160.73 (define @t163 () (tptp.aSubsetOf0 @t40 @t114)) % 160.47/160.73 (define @t164 () (= @t108 @t73)) % 160.47/160.73 (define @t165 () (and @t163 @t164)) % 160.47/160.73 (define @t166 () (tptp.aElementOf0 @t40 @t104)) % 160.47/160.73 (define @t167 () (forall @t45 (= @t165 @t166))) % 160.47/160.73 (define @t168 () (tptp.aSet0 @t104)) % 160.47/160.73 (define @t169 () (and @t168 @t167)) % 160.47/160.73 (define @t170 () (tptp.slbdtsldtrb0 @t114 @t108)) % 160.47/160.73 (define @t171 () (= (= @t170 @t104) @t169)) % 160.47/160.73 (define @t172 () (tptp.aElementOf0 @t108 @t115)) % 160.47/160.73 (define @t173 () (not @t172)) % 160.47/160.73 (define @t174 () (tptp.aSet0 @t114)) % 160.47/160.73 (define @t175 () (not @t174)) % 160.47/160.73 (define @t176 () (or @t175 @t173 @t171)) % 160.47/160.73 (define @t177 () (forall @t151 (or @t140 (not (tptp.aElementOf0 @t5 @t115)) @t148))) % 160.47/160.73 (define @t178 () (= @t73 @t108)) % 160.47/160.73 (define @t179 () (forall @t45 (= @t166 (and @t163 @t178)))) % 160.47/160.73 (define @t180 () (and @t168 @t179)) % 160.47/160.73 (define @t181 () (= @t104 @t170)) % 160.47/160.73 (define @t182 () (= @t181 @t180)) % 160.47/160.73 (define @t183 () (or @t175 @t173 @t182)) % 160.47/160.73 (define @t184 () (@list false)) % 160.47/160.73 (define @t185 () (@list @t177)) % 160.47/160.73 (define @t186 () (@var "BOUND_VARIABLE_8219" $$unsorted)) % 160.47/160.73 (define @t187 () (= (tptp.aSubsetOf0 @t186 @t1) (and (tptp.aSet0 @t186) (forall @t18 (or (not (tptp.aElementOf0 @t15 @t186)) @t16))))) % 160.47/160.73 (define @t188 () (or @t140 @t187)) % 160.47/160.73 (define @t189 () (@list @t186)) % 160.47/160.73 (define @t190 () (forall @t189 @t188)) % 160.47/160.73 (define @t191 () (forall @t189 @t187)) % 160.47/160.73 (define @t192 () (or @t140 @t191)) % 160.47/160.73 (define @t193 () (forall @t8 (= @t22 (and @t20 (forall @t18 (or (not @t17) @t16)))))) % 160.47/160.73 (define @t194 () (tptp.aElementOf0 @t15 @t115)) % 160.47/160.73 (define @t195 () (and @t174 (forall @t18 (or (not (tptp.aElementOf0 @t15 @t114)) @t194)))) % 160.47/160.73 (define @t196 () (tptp.aSubsetOf0 @t114 @t115)) % 160.47/160.73 (define @t197 () (= @t196 @t195)) % 160.47/160.73 (define @t198 () (tptp.aSet0 @t115)) % 160.47/160.73 (define @t199 () (not @t198)) % 160.47/160.73 (define @t200 () (or @t199 @t197)) % 160.47/160.73 (define @t201 () (@list false false)) % 160.47/160.73 (define @t202 () (@list false false false)) % 160.47/160.73 (define @t203 () (tptp.sbrdtbr0 tptp.xQ)) % 160.47/160.73 (define @t204 () (tptp.aSubsetOf0 tptp.xQ @t114)) % 160.47/160.73 (define @t205 () (= @t203 @t108)) % 160.47/160.73 (define @t206 () (and @t204 @t205)) % 160.47/160.73 (define @t207 () (= @t135 @t206)) % 160.47/160.73 (define @t208 () (@list tptp.xQ)) % 160.47/160.73 (define @t209 () (= @t108 @t203)) % 160.47/160.73 (define @t210 () (and @t204 @t209)) % 160.47/160.73 (define @t211 () (= @t135 @t210)) % 160.47/160.73 (define @t212 () (not @t210)) % 160.47/160.73 (define @t213 () (@list true false)) % 160.47/160.73 (define @t214 () (tptp.aSubsetOf0 @t40 @t128)) % 160.47/160.73 (define @t215 () (and @t214 @t178)) % 160.47/160.73 (define @t216 () (tptp.slbdtsldtrb0 @t128 @t108)) % 160.47/160.73 (define @t217 () (tptp.aElementOf0 @t40 @t216)) % 160.47/160.73 (define @t218 () (forall @t45 (= @t217 @t215))) % 160.47/160.73 (define @t219 () (tptp.aSet0 @t216)) % 160.47/160.73 (define @t220 () (and @t219 @t218)) % 160.47/160.73 (define @t221 () (and @t214 @t164)) % 160.47/160.73 (define @t222 () (= @t221 @t217)) % 160.47/160.73 (define @t223 () (forall @t45 @t222)) % 160.47/160.73 (define @t224 () (and @t219 @t223)) % 160.47/160.73 (define @t225 () (= (= @t216 @t216) @t224)) % 160.47/160.73 (define @t226 () (tptp.aSet0 @t128)) % 160.47/160.73 (define @t227 () (not @t226)) % 160.47/160.73 (define @t228 () (or @t227 @t173 @t225)) % 160.47/160.73 (define @t229 () (or @t227 @t173 @t220)) % 160.47/160.73 (define @t230 () (tptp.aSubsetOf0 tptp.xQ @t128)) % 160.47/160.73 (define @t231 () (and @t230 @t205)) % 160.47/160.73 (define @t232 () (tptp.aElementOf0 tptp.xQ @t216)) % 160.47/160.73 (define @t233 () (= @t232 @t231)) % 160.47/160.73 (define @t234 () (and @t230 @t209)) % 160.47/160.73 (define @t235 () (= @t232 @t234)) % 160.47/160.73 (define @t236 () (not @t204)) % 160.47/160.73 (define @t237 () (tptp.aSet0 tptp.xQ)) % 160.47/160.73 (define @t238 () (and @t237 (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.xQ)) @t194)))) % 160.47/160.73 (define @t239 () (tptp.aSubsetOf0 tptp.xQ @t115)) % 160.47/160.73 (define @t240 () (= @t239 @t238)) % 160.47/160.73 (define @t241 () (or @t199 @t240)) % 160.47/160.73 (define @t242 () (tptp.aSubsetOf0 @t128 @t114)) % 160.47/160.73 (define @t243 () (not @t242)) % 160.47/160.73 (define @t244 () (not @t230)) % 160.47/160.73 (define @t245 () (not @t237)) % 160.47/160.73 (define @t246 () (or @t245 @t227 @t175 @t244 @t243 @t204)) % 160.47/160.73 (define @t247 () (not @t246)) % 160.47/160.73 (define @t248 () (forall @t38 @t141)) % 160.47/160.73 (assume @p1 (forall @t3 (=> @t2 true))) % 160.47/160.73 (assume @p2 (forall @t3 (=> @t4 true))) % 160.47/160.73 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 160.47/160.73 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 160.47/160.73 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 160.47/160.73 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 160.47/160.73 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 160.47/160.73 (assume @p8 (forall @t3 (=> @t13 @t12))) % 160.47/160.73 (assume @p9 (forall @t3 (=> @t13 @t14))) % 160.47/160.73 (assume @p10 @t26) % 160.47/160.73 (assume @p11 (forall @t3 (=> @t28 (forall @t8 (=> @t22 @t27))))) % 160.47/160.73 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 160.47/160.73 (assume @p13 (forall @t31 (=> (and @t2 @t20) (=> (and @t30 @t22) @t29)))) % 160.47/160.73 (assume @p14 @t39) % 160.47/160.73 (assume @p15 (forall @t31 (=> @t47 (forall @t18 (= (= @t15 @t46) (and @t36 (forall @t45 (= @t44 (and @t43 (or @t42 @t41)))))))))) % 160.47/160.73 (assume @p16 (forall @t31 (=> @t47 (forall @t18 (= (= @t15 @t48) (and @t36 (forall @t45 (= @t44 (and @t43 @t42 (not @t41)))))))))) % 160.47/160.73 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t48 @t5) @t1)))))) % 160.47/160.73 (assume @p18 (forall @t31 (=> (and @t4 @t20) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t49 @t1) @t5))))) % 160.47/160.73 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isCountable0 @t49)))))) % 160.47/160.73 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isCountable0 @t52)))))) % 160.47/160.73 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t53 (tptp.isFinite0 @t49)))))) % 160.47/160.73 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t53 (tptp.isFinite0 @t52)))))) % 160.47/160.73 (assume @p23 (and @t54 (tptp.isCountable0 tptp.szNzAzT0))) % 160.47/160.73 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 160.47/160.73 (assume @p25 (forall @t3 (=> @t56 (and (tptp.aElementOf0 @t55 tptp.szNzAzT0) (not (= @t55 tptp.sz00)))))) % 160.47/160.73 (assume @p26 (forall @t31 (=> @t59 (=> (= @t55 @t57) @t29)))) % 160.47/160.73 (assume @p27 (forall @t3 (=> @t56 (or @t60 (exists @t8 (and @t58 (= @t1 @t57))))))) % 160.47/160.73 (assume @p28 (forall @t3 (=> @t56 (not (= @t1 @t55))))) % 160.47/160.73 (assume @p29 (forall @t31 (=> @t59 (=> @t61 true)))) % 160.47/160.73 (assume @p30 (forall @t3 (=> @t56 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 160.47/160.73 (assume @p31 (forall @t3 (=> @t56 (not (tptp.sdtlseqdt0 @t55 tptp.sz00))))) % 160.47/160.73 (assume @p32 (forall @t31 (=> @t59 (= @t61 (tptp.sdtlseqdt0 @t55 @t57))))) % 160.47/160.73 (assume @p33 (forall @t3 (=> @t56 (tptp.sdtlseqdt0 @t1 @t55)))) % 160.47/160.73 (assume @p34 (forall @t3 (=> @t56 (tptp.sdtlseqdt0 @t1 @t1)))) % 160.47/160.73 (assume @p35 (forall @t31 (=> @t59 (=> (and @t61 @t62) @t29)))) % 160.47/160.73 (assume @p36 (forall @t38 (=> (and @t56 @t58 @t64) (=> (and @t61 @t63) (tptp.sdtlseqdt0 @t1 @t15))))) % 160.47/160.73 (assume @p37 (forall @t31 (=> @t59 (or @t61 (tptp.sdtlseqdt0 @t57 @t1))))) % 160.47/160.73 (assume @p38 (forall @t31 (=> @t59 (=> (tptp.iLess0 @t1 @t5) true)))) % 160.47/160.73 (assume @p39 (forall @t3 (=> @t56 (tptp.iLess0 @t1 @t55)))) % 160.47/160.73 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t65)))) % 160.47/160.73 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t65 tptp.szNzAzT0) @t9)))) % 160.47/160.73 (assume @p42 (forall @t3 (=> @t2 (= (= @t65 tptp.sz00) @t10)))) % 160.47/160.73 (assume @p43 (forall @t3 (=> @t28 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t46) (tptp.szszuzczcdt0 @t65)))))))) % 160.47/160.73 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t48)) @t65)))))) % 160.47/160.73 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t22) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t65)))))) % 160.47/160.73 (assume @p46 (forall @t31 (=> @t66 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t65)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 160.47/160.73 (assume @p47 (forall @t3 (=> (and @t68 @t14) (forall @t8 (= (= @t5 @t67) (and @t7 (forall @t18 (=> @t16 @t63)))))))) % 160.47/160.73 (assume @p48 (forall @t3 (=> (and @t68 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 160.47/160.73 (assume @p49 (forall @t31 (=> (and @t68 @t70 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t67 @t5) (tptp.aElementOf0 @t69 @t1)) (= @t67 @t69))))) % 160.47/160.73 (assume @p50 (forall @t3 (=> @t56 (forall @t8 (= (= @t5 @t71) (and @t20 (forall @t18 (= @t17 (and @t64 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 160.47/160.73 (assume @p51 (forall @t3 (=> @t56 (tptp.isFinite0 @t71)))) % 160.47/160.73 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 160.47/160.73 (assume @p53 (forall @t31 (=> @t59 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t57)) (or (tptp.aElementOf0 @t1 @t72) @t29))))) % 160.47/160.73 (assume @p54 (forall @t31 (=> @t59 (= @t61 (tptp.aSubsetOf0 @t71 @t72))))) % 160.47/160.73 (assume @p55 (forall @t3 (=> (and @t68 @t9) (exists @t8 (and @t58 (tptp.aSubsetOf0 @t1 @t72)))))) % 160.47/160.73 (assume @p56 (forall @t3 (=> @t56 (= (tptp.sbrdtbr0 @t71) @t1)))) % 160.47/160.73 (assume @p57 @t84) % 160.47/160.73 (assume @p58 (forall @t3 (=> @t28 (forall @t8 (=> @t58 (tptp.isFinite0 @t79)))))) % 160.47/160.73 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t58 (not (= @t79 tptp.slcrc0))))))) % 160.47/160.73 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t58 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t79)))))) % 160.47/160.73 (assume @p61 (forall @t3 (=> @t56 (forall (@list @t5 @t15) (=> (and @t20 @t36 (not @t60)) (=> (and (tptp.aSubsetOf0 @t85 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t85 tptp.slcrc0))) @t33)))))) % 160.47/160.73 (assume @p62 (forall @t31 (=> @t66 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t79) (tptp.isFinite0 @t15)) (exists @t45 (and @t74 (tptp.isFinite0 @t40) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t40 @t5))))))))) % 160.47/160.73 (assume @p63 (forall @t3 (=> @t86 true))) % 160.47/160.73 (assume @p64 (forall @t3 (=> @t86 (tptp.aSet0 @t87)))) % 160.47/160.73 (assume @p65 (forall @t3 (=> @t86 (forall @t8 (=> @t89 (tptp.aElement0 @t88)))))) % 160.47/160.73 (assume @p66 (forall @t31 (=> @t93 (forall @t18 (= (= @t15 @t92) (and @t36 (forall @t45 (= @t44 (and @t91 (= @t90 @t5)))))))))) % 160.47/160.73 (assume @p67 (forall @t31 (=> @t93 (tptp.aSubsetOf0 @t92 @t87)))) % 160.47/160.73 (assume @p68 (forall @t3 (=> @t86 (forall @t8 (=> @t97 (forall @t18 (= (= @t15 @t96) (and @t36 (forall @t45 (= @t44 (exists @t95 (and (tptp.aElementOf0 @t94 @t5) (= (tptp.sdtlpdtrp0 @t1 @t94) @t40))))))))))))) % 160.47/160.73 (assume @p69 (forall @t3 (=> @t86 (forall @t8 (=> @t89 (tptp.aElementOf0 @t88 @t98)))))) % 160.47/160.73 (assume @p70 (forall @t3 (=> @t86 (forall @t8 (=> @t97 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t100 (= @t99 @t5) (forall @t45 (=> (tptp.aElementOf0 @t40 @t5) (= (tptp.sdtlpdtrp0 @t15 @t40) @t90))))))))))) % 160.47/160.73 (assume @p71 (forall @t3 (=> @t86 (forall @t8 (=> (and @t97 @t50) (=> (forall (@list @t15 @t40) (=> (and (tptp.aElementOf0 @t15 @t87) @t91 (not (= @t15 @t40))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t90)))) (tptp.isCountable0 @t96))))))) % 160.47/160.73 (assume @p72 (forall @t3 (=> @t86 (=> (and (tptp.isCountable0 @t87) (tptp.isFinite0 @t98)) (and (tptp.aElement0 @t101) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t101))))))) % 160.47/160.73 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 160.47/160.73 (assume @p74 @t102) % 160.47/160.73 (assume @p75 (and @t103 (tptp.isCountable0 tptp.xS))) % 160.47/160.73 (assume @p76 (and (tptp.aFunction0 tptp.xc) @t106 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t104) tptp.xT))) % 160.47/160.73 (assume @p77 (forall @t3 (=> @t56 (forall @t8 (=> (and @t70 @t50) (forall @t18 (=> (and @t100 (= @t99 @t85) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t99) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t45 (and (tptp.aElementOf0 @t40 tptp.xT) (exists @t95 (and (tptp.aSubsetOf0 @t94 @t5) (tptp.isCountable0 @t94) (forall (@list @t107) (=> (tptp.aElementOf0 @t107 (tptp.slbdtsldtrb0 @t94 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t107) @t40))))))))))))))) % 160.47/160.73 (assume @p78 (not (= tptp.xK tptp.sz00))) % 160.47/160.73 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= @t108 tptp.xK))) % 160.47/160.73 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t115 tptp.szNzAzT0) (= @t114 tptp.xS) (forall @t3 (=> @t56 (=> @t113 (and (tptp.aSubsetOf0 @t109 @t112) (tptp.isCountable0 @t109))))))) % 160.47/160.73 (assume @p81 (forall @t3 (=> @t56 @t113))) % 160.47/160.73 (assume @p82 (forall @t31 (=> @t59 (=> @t62 (tptp.aSubsetOf0 @t110 @t116))))) % 160.47/160.73 (assume @p83 (forall @t31 (=> (and @t56 @t58 (not @t29)) (not (= @t111 (tptp.szmzizndt0 @t116)))))) % 160.47/160.73 (assume @p84 (forall @t3 (=> @t56 (forall @t8 (=> @t119 (tptp.aElementOf0 @t117 @t105)))))) % 160.47/160.73 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t56 (and (tptp.aFunction0 @t120) (= @t122 @t118) (forall @t8 (=> @t119 (= @t121 (tptp.sdtlpdtrp0 tptp.xc @t117))))))))) % 160.47/160.73 (assume @p86 (forall @t3 (=> @t56 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t120 @t122) tptp.xT)))) % 160.47/160.73 (assume @p87 (forall @t3 (=> @t56 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t112) @t50) (forall @t18 (=> (and @t36 (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t15 @t118)))))))) % 160.47/160.73 (assume @p88 (forall @t3 (=> @t56 (exists @t8 (and @t123 (exists @t18 (and (tptp.aSubsetOf0 @t15 @t112) (tptp.isCountable0 @t15) (forall @t45 (=> (and (tptp.aSet0 @t40) (tptp.aElementOf0 @t40 (tptp.slbdtsldtrb0 @t15 tptp.xk))) (= (tptp.sdtlpdtrp0 @t120 @t40) @t5)))))))))) % 160.47/160.73 (assume @p89 (forall @t3 (=> @t56 (exists @t8 (and @t123 (forall @t18 (=> (and @t36 (tptp.aElementOf0 @t15 @t124)) (= (tptp.sdtlpdtrp0 @t120 @t15) @t5)))))))) % 160.47/160.73 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t56 (= (tptp.sdtlpdtrp0 tptp.xe @t1) @t111))))) % 160.47/160.73 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t125 tptp.szNzAzT0) (forall @t3 (=> @t56 (forall @t8 (=> (and @t20 (tptp.aElementOf0 @t5 @t124)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t121))))))) % 160.47/160.73 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t125) tptp.xT)) % 160.47/160.73 (assume @p93 (and (tptp.aElementOf0 @t126 tptp.xT) (tptp.isCountable0 @t127))) % 160.47/160.73 (assume @p94 (and @t129 (= tptp.xO @t128))) % 160.47/160.73 (assume @p95 (and @t129 (tptp.isCountable0 tptp.xO))) % 160.47/160.73 (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t58 (tptp.aElementOf0 @t5 @t127) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)))))) % 160.47/160.73 (assume @p97 @t130) % 160.47/160.73 (assume @p98 @t132) % 160.47/160.73 (assume @p99 (and @t133 (not (= tptp.xQ tptp.slcrc0)))) % 160.47/160.73 (assume @p100 @t134) % 160.47/160.73 (assume @p101 (not @t135)) % 160.47/160.73 (assume @p102 true) % 160.47/160.73 (step @p103 :rule aci_norm :args ((= (or @t143 @t142) @t141))) % 160.47/160.73 (step @p104 :rule aci_norm :args ((= (or (or @t137 @t136) @t32) @t142))) % 160.47/160.73 (step @p105 :rule refl :args (@t32)) % 160.47/160.73 (step @p106 :rule bool-and-de-morgan :args (@t30 @t33 true)) % 160.47/160.73 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or (not @t34) @t32))) % 160.47/160.73 (step @p108 :rule trans :premises (@p107 @p104)) % 160.47/160.73 (step @p109 :rule bool-impl-elim :args (@t34 @t32)) % 160.47/160.73 (step @p110 :rule trans :premises (@p109 @p108)) % 160.47/160.73 (step @p111 :rule aci_norm :args ((= (or @t140 (or @t139 @t138)) @t143))) % 160.47/160.73 (step @p112 :rule bool-and-de-morgan :args (@t20 @t36 true)) % 160.47/160.73 (step @p113 :rule refl :args (@t140)) % 160.47/160.73 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t140 (not (and @t20 @t36))))) % 160.47/160.73 (step @p115 :rule bool-and-de-morgan :args (@t2 @t20 (and @t36))) % 160.47/160.73 (step @p116 :rule trans :premises (@p115 @p114)) % 160.47/160.73 (step @p117 :rule trans :premises (@p116 @p111)) % 160.47/160.73 (step @p118 :rule nary_cong :premises (@p117 @p110) :args ((or (not @t37) @t35))) % 160.47/160.73 (step @p119 :rule trans :premises (@p118 @p103)) % 160.47/160.73 (step @p120 :rule bool-impl-elim :args (@t37 @t35)) % 160.47/160.73 (step @p121 :rule trans :premises (@p120 @p119)) % 160.47/160.73 (step @p122 :rule cong :premises (@p121) :args (@t39)) % 160.47/160.73 (step @p123 :rule eq_resolve :premises (@p14 @p122)) % 160.47/160.73 (step @p124 :rule refl :args (@t148)) % 160.47/160.73 (step @p125 :rule and_elim :premises (@p80) :args (1)) % 160.47/160.73 (step @p126 :rule symm :premises (@p125)) % 160.47/160.73 (step @p127 :rule refl :args (@t5)) % 160.47/160.73 (step @p128 :rule cong :premises (@p127 @p126) :args (@t58)) % 160.47/160.73 (step @p129 :rule cong :premises (@p128) :args (@t149)) % 160.47/160.73 (step @p130 :rule refl :args (@t140)) % 160.47/160.73 (step @p131 :rule nary_cong :premises (@p130 @p129 @p124) :args (@t150)) % 160.47/160.73 (step @p132 :rule cong :premises (@p131) :args ((forall @t151 @t150))) % 160.47/160.73 (step @p133 :rule eq-symm :args (@t145 @t146)) % 160.47/160.73 (step @p134 :rule cong :premises (@p133) :args (@t152)) % 160.47/160.73 (step @p135 :rule refl :args (@t147)) % 160.47/160.73 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t153)) % 160.47/160.73 (step @p137 :rule eq-symm :args (@t144 @t79)) % 160.47/160.73 (step @p138 :rule cong :premises (@p137 @p136) :args (@t154)) % 160.47/160.73 (step @p139 :rule refl :args (@t149)) % 160.47/160.73 (step @p140 :rule nary_cong :premises (@p130 @p139 @p138) :args (@t155)) % 160.47/160.73 (step @p141 :rule cong :premises (@p140) :args (@t156)) % 160.47/160.73 (step @p142 :rule quant-merge-prenex :args ((= (forall @t31 @t158) @t156))) % 160.47/160.73 (step @p143 :rule alpha_equiv :args (@t159 (@list @t144) (@list @t15))) % 160.47/160.73 (step @p144 :rule refl :args (@t149)) % 160.47/160.73 (step @p145 :rule nary_cong :premises (@p113 @p144 @p143) :args (@t160)) % 160.47/160.73 (step @p146 :rule quant-miniscope-or :args ((= @t158 @t160))) % 160.47/160.73 (step @p147 :rule trans :premises (@p146 @p145)) % 160.47/160.73 (step @p148 :rule symm :premises (@p147)) % 160.47/160.73 (step @p149 :rule cong :premises (@p148) :args ((forall @t31 @t162))) % 160.47/160.73 (step @p150 :rule trans :premises (@p149 @p142)) % 160.47/160.73 (step @p151 :rule trans :premises (@p150 @p141)) % 160.47/160.73 (step @p152 :rule aci_norm :args ((= (or (or @t140 @t149) @t161) @t162))) % 160.47/160.73 (step @p153 :rule refl :args (@t161)) % 160.47/160.73 (step @p154 :rule bool-and-de-morgan :args (@t2 @t58 true)) % 160.47/160.73 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or (not @t66) @t161))) % 160.47/160.73 (step @p156 :rule trans :premises (@p155 @p152)) % 160.47/160.73 (step @p157 :rule bool-impl-elim :args (@t66 @t161)) % 160.47/160.73 (step @p158 :rule trans :premises (@p157 @p156)) % 160.47/160.73 (step @p159 :rule cong :premises (@p158) :args ((forall @t31 (=> @t66 @t161)))) % 160.47/160.73 (step @p160 :rule trans :premises (@p159 @p151)) % 160.47/160.73 (step @p161 :rule eq-symm :args (@t73 @t5)) % 160.47/160.73 (step @p162 :rule refl :args (@t74)) % 160.47/160.73 (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t75)) % 160.47/160.73 (step @p164 :rule refl :args (@t44)) % 160.47/160.73 (step @p165 :rule cong :premises (@p164 @p163) :args (@t76)) % 160.47/160.73 (step @p166 :rule cong :premises (@p165) :args (@t77)) % 160.47/160.73 (step @p167 :rule refl :args (@t36)) % 160.47/160.73 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t78)) % 160.47/160.73 (step @p169 :rule refl :args (@t80)) % 160.47/160.73 (step @p170 :rule cong :premises (@p169 @p168) :args (@t81)) % 160.47/160.73 (step @p171 :rule cong :premises (@p170) :args (@t82)) % 160.47/160.73 (step @p172 :rule refl :args (@t66)) % 160.47/160.73 (step @p173 :rule cong :premises (@p172 @p171) :args (@t83)) % 160.47/160.73 (step @p174 :rule cong :premises (@p173) :args (@t84)) % 160.47/160.73 (step @p175 :rule trans :premises (@p174 @p160)) % 160.47/160.73 (step @p176 :rule trans :premises (@p175 @p132)) % 160.47/160.73 (step @p177 :rule eq_resolve :premises (@p57 @p176)) % 160.47/160.73 (step @p178 :rule eq-symm :args (@t108 @t73)) % 160.47/160.73 (step @p179 :rule refl :args (@t163)) % 160.47/160.73 (step @p180 :rule nary_cong :premises (@p179 @p178) :args (@t165)) % 160.47/160.73 (step @p181 :rule refl :args (@t166)) % 160.47/160.73 (step @p182 :rule cong :premises (@p181 @p180) :args ((= @t166 @t165))) % 160.47/160.73 (step @p183 :rule eq-symm :args (@t165 @t166)) % 160.47/160.73 (step @p184 :rule trans :premises (@p183 @p182)) % 160.47/160.73 (step @p185 :rule cong :premises (@p184) :args (@t167)) % 160.47/160.73 (step @p186 :rule refl :args (@t168)) % 160.47/160.73 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t169)) % 160.47/160.73 (step @p188 :rule eq-symm :args (@t170 @t104)) % 160.47/160.73 (step @p189 :rule cong :premises (@p188 @p187) :args (@t171)) % 160.47/160.73 (step @p190 :rule refl :args (@t173)) % 160.47/160.73 (step @p191 :rule refl :args (@t175)) % 160.47/160.73 (step @p192 :rule nary_cong :premises (@p191 @p190 @p189) :args (@t176)) % 160.47/160.73 (step @p193 :rule refl :args (@t177)) % 160.47/160.73 (step @p194 :rule cong :premises (@p193 @p192) :args ((=> @t177 @t176))) % 160.47/160.73 (assume-push @p365 @t177) % 160.47/160.73 (step @p196 :rule instantiate :premises (@p177) :args ((@list @t114 @t108 @t104))) % 160.47/160.73 (step-pop @p366 :rule scope :premises (@p196)) % 160.47/160.73 (step @p197 :rule process_scope :premises (@p366) :args (@t176)) % 160.47/160.73 (step @p199 :rule eq_resolve :premises (@p197 @p194)) % 160.47/160.73 (step @p200 :rule implies_elim :premises (@p199)) % 160.47/160.73 (step @p201 :rule chain_m_resolution :premises (@p200 @p177) :args (@t183 @t184 @t185)) % 160.47/160.73 (step @p202 :rule quant-merge-prenex :args ((= (forall @t3 @t190) (forall (@list @t1 @t186) @t188)))) % 160.47/160.73 (step @p203 :rule alpha_equiv :args (@t191 (@list @t186) (@list @t5))) % 160.47/160.73 (step @p204 :rule nary_cong :premises (@p113 @p203) :args (@t192)) % 160.47/160.73 (step @p205 :rule quant-miniscope-or :args ((= @t190 @t192))) % 160.47/160.73 (step @p206 :rule trans :premises (@p205 @p204)) % 160.47/160.73 (step @p207 :rule symm :premises (@p206)) % 160.47/160.73 (step @p208 :rule cong :premises (@p207) :args ((forall @t3 (or @t140 @t193)))) % 160.47/160.73 (step @p209 :rule trans :premises (@p208 @p202)) % 160.47/160.73 (step @p210 :rule bool-impl-elim :args (@t2 @t193)) % 160.47/160.73 (step @p211 :rule cong :premises (@p210) :args ((forall @t3 (=> @t2 @t193)))) % 160.47/160.73 (step @p212 :rule trans :premises (@p211 @p209)) % 160.47/160.73 (step @p213 :rule bool-impl-elim :args (@t17 @t16)) % 160.47/160.73 (step @p214 :rule cong :premises (@p213) :args (@t19)) % 160.47/160.73 (step @p215 :rule refl :args (@t20)) % 160.47/160.73 (step @p216 :rule nary_cong :premises (@p215 @p214) :args (@t21)) % 160.47/160.73 (step @p217 :rule refl :args (@t22)) % 160.47/160.73 (step @p218 :rule cong :premises (@p217 @p216) :args (@t23)) % 160.47/160.73 (step @p219 :rule cong :premises (@p218) :args (@t24)) % 160.47/160.73 (step @p220 :rule refl :args (@t2)) % 160.47/160.73 (step @p221 :rule cong :premises (@p220 @p219) :args (@t25)) % 160.47/160.73 (step @p222 :rule cong :premises (@p221) :args (@t26)) % 160.47/160.73 (step @p223 :rule trans :premises (@p222 @p212)) % 160.47/160.73 (step @p224 :rule eq_resolve :premises (@p10 @p223)) % 160.47/160.73 (step @p225 :rule instantiate :premises (@p224) :args ((@list @t115 @t114))) % 160.47/160.73 (step @p226 :rule cong :premises (@p126) :args (@t54)) % 160.47/160.73 (step @p227 :rule and_elim :premises (@p23) :args (0)) % 160.47/160.73 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 160.47/160.73 (step @p229 :rule cnf_or_pos :args (@t200)) % 160.47/160.73 (step @p230 :rule reordering :premises (@p229) :args ((or @t199 @t197 (not @t200)))) % 160.47/160.73 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p225) :args (@t197 @t201 (@list @t198 @t200))) % 160.47/160.73 (step @p232 :rule and_elim :premises (@p80) :args (2)) % 160.47/160.73 (step @p233 :rule symm :premises (@p232)) % 160.47/160.73 (step @p234 :rule cong :premises (@p233 @p126) :args (@t103)) % 160.47/160.73 (step @p235 :rule and_elim :premises (@p75) :args (0)) % 160.47/160.73 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 160.47/160.73 (step @p237 :rule cnf_equiv_pos1 :args (@t197)) % 160.47/160.73 (step @p238 :rule reordering :premises (@p237) :args ((or (not @t196) @t195 (not @t197)))) % 160.47/160.73 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p231) :args (@t195 @t201 (@list @t196 @t197))) % 160.47/160.73 (step @p240 :rule cnf_and_pos :args (@t195 0)) % 160.47/160.73 (step @p241 :rule reordering :premises (@p240) :args ((or @t174 (not @t195)))) % 160.47/160.73 (step @p242 :rule chain_m_resolution :premises (@p241 @p239) :args (@t174 @t184 (@list @t195))) % 160.47/160.73 (step @p243 :rule and_elim :premises (@p79) :args (1)) % 160.47/160.73 (step @p244 :rule symm :premises (@p243)) % 160.47/160.73 (step @p245 :rule cong :premises (@p244 @p126) :args (@t102)) % 160.47/160.73 (step @p246 :rule eq_resolve :premises (@p74 @p245)) % 160.47/160.73 (step @p247 :rule cnf_or_pos :args (@t183)) % 160.47/160.73 (step @p248 :rule reordering :premises (@p247) :args ((or @t173 @t175 @t182 (not @t183)))) % 160.47/160.73 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p242 @p201) :args (@t182 @t202 (@list @t172 @t174 @t183))) % 160.47/160.73 (step @p250 :rule cong :premises (@p233 @p244) :args (@t105)) % 160.47/160.73 (step @p251 :rule refl :args (@t104)) % 160.47/160.73 (step @p252 :rule cong :premises (@p251 @p250) :args (@t106)) % 160.47/160.73 (step @p253 :rule and_elim :premises (@p76) :args (1)) % 160.47/160.73 (step @p254 :rule eq_resolve :premises (@p253 @p252)) % 160.47/160.73 (step @p255 :rule cnf_equiv_pos1 :args (@t182)) % 160.47/160.73 (step @p256 :rule reordering :premises (@p255) :args ((or (not @t181) @t180 (not @t182)))) % 160.47/160.73 (step @p257 :rule chain_m_resolution :premises (@p256 @p254 @p249) :args (@t180 @t201 (@list @t181 @t182))) % 160.47/160.73 (step @p258 :rule cnf_and_pos :args (@t180 1)) % 160.47/160.73 (step @p259 :rule reordering :premises (@p258) :args ((or @t179 (not @t180)))) % 160.47/160.73 (step @p260 :rule chain_m_resolution :premises (@p259 @p257) :args (@t179 @t184 (@list @t180))) % 160.47/160.73 (step @p261 :rule eq-symm :args (@t203 @t108)) % 160.47/160.73 (step @p262 :rule refl :args (@t204)) % 160.47/160.73 (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t206)) % 160.47/160.73 (step @p264 :rule refl :args (@t135)) % 160.47/160.73 (step @p265 :rule cong :premises (@p264 @p263) :args (@t207)) % 160.47/160.73 (step @p266 :rule refl :args (@t179)) % 160.47/160.73 (step @p267 :rule cong :premises (@p266 @p265) :args ((=> @t179 @t207))) % 160.47/160.73 (assume-push @p367 @t179) % 160.47/160.73 (step @p269 :rule instantiate :premises (@p260) :args (@t208)) % 160.47/160.73 (step-pop @p368 :rule scope :premises (@p269)) % 160.47/160.73 (step @p270 :rule process_scope :premises (@p368) :args (@t207)) % 160.47/160.73 (step @p272 :rule eq_resolve :premises (@p270 @p267)) % 160.47/160.73 (step @p273 :rule implies_elim :premises (@p272)) % 160.47/160.73 (step @p274 :rule chain_m_resolution :premises (@p273 @p260) :args (@t211 @t184 (@list @t179))) % 160.47/160.73 (step @p275 :rule cnf_equiv_pos2 :args (@t211)) % 160.47/160.73 (step @p276 :rule reordering :premises (@p275) :args ((or @t135 @t212 (not @t211)))) % 160.47/160.73 (step @p277 :rule chain_m_resolution :premises (@p276 @p101 @p274) :args (@t212 @t213 (@list @t135 @t211))) % 160.47/160.73 (step @p278 :rule bool-eq-true :args (@t220)) % 160.47/160.73 (step @p279 :rule eq-symm :args (true @t220)) % 160.47/160.73 (step @p280 :rule trans :premises (@p279 @p278)) % 160.47/160.73 (step @p281 :rule eq-symm :args (@t215 @t217)) % 160.47/160.73 (step @p282 :rule refl :args (@t217)) % 160.47/160.73 (step @p283 :rule refl :args (@t214)) % 160.47/160.73 (step @p284 :rule nary_cong :premises (@p283 @p178) :args (@t221)) % 160.47/160.73 (step @p285 :rule cong :premises (@p284 @p282) :args (@t222)) % 160.47/160.73 (step @p286 :rule trans :premises (@p285 @p281)) % 160.47/160.73 (step @p287 :rule cong :premises (@p286) :args (@t223)) % 160.47/160.73 (step @p288 :rule refl :args (@t219)) % 160.47/160.73 (step @p289 :rule nary_cong :premises (@p288 @p287) :args (@t224)) % 160.47/160.73 (step @p290 :rule eq-refl :args (@t216)) % 160.47/160.73 (step @p291 :rule cong :premises (@p290 @p289) :args (@t225)) % 160.47/160.73 (step @p292 :rule trans :premises (@p291 @p280)) % 160.47/160.73 (step @p293 :rule refl :args (@t227)) % 160.47/160.73 (step @p294 :rule nary_cong :premises (@p293 @p190 @p292) :args (@t228)) % 160.47/160.73 (step @p295 :rule cong :premises (@p193 @p294) :args ((=> @t177 @t228))) % 160.47/160.73 (assume-push @p369 @t177) % 160.47/160.73 (step @p297 :rule instantiate :premises (@p177) :args ((@list @t128 @t108 @t216))) % 160.47/160.73 (step-pop @p370 :rule scope :premises (@p297)) % 160.47/160.73 (step @p298 :rule process_scope :premises (@p370) :args (@t228)) % 160.47/160.73 (step @p300 :rule eq_resolve :premises (@p298 @p295)) % 160.47/160.73 (step @p301 :rule implies_elim :premises (@p300)) % 160.47/160.73 (step @p302 :rule chain_m_resolution :premises (@p301 @p177) :args (@t229 @t184 @t185)) % 160.47/160.73 (step @p303 :rule and_elim :premises (@p94) :args (1)) % 160.47/160.73 (step @p304 :rule cong :premises (@p303) :args (@t129)) % 160.47/160.73 (step @p305 :rule and_elim :premises (@p94) :args (0)) % 160.47/160.73 (step @p306 :rule eq_resolve :premises (@p305 @p304)) % 160.47/160.73 (step @p307 :rule cnf_or_pos :args (@t229)) % 160.47/160.73 (step @p308 :rule reordering :premises (@p307) :args ((or @t173 @t227 @t220 (not @t229)))) % 160.47/160.73 (step @p309 :rule chain_m_resolution :premises (@p308 @p246 @p306 @p302) :args (@t220 @t202 (@list @t172 @t226 @t229))) % 160.47/160.73 (step @p310 :rule cnf_and_pos :args (@t220 1)) % 160.47/160.73 (step @p311 :rule reordering :premises (@p310) :args ((or @t218 (not @t220)))) % 160.47/160.73 (step @p312 :rule chain_m_resolution :premises (@p311 @p309) :args (@t218 @t184 (@list @t220))) % 160.47/160.73 (step @p313 :rule refl :args (@t230)) % 160.47/160.73 (step @p314 :rule nary_cong :premises (@p313 @p261) :args (@t231)) % 160.47/160.73 (step @p315 :rule refl :args (@t232)) % 160.47/160.73 (step @p316 :rule cong :premises (@p315 @p314) :args (@t233)) % 160.47/160.73 (step @p317 :rule refl :args (@t218)) % 160.47/160.73 (step @p318 :rule cong :premises (@p317 @p316) :args ((=> @t218 @t233))) % 160.47/160.73 (assume-push @p371 @t218) % 160.47/160.73 (step @p320 :rule instantiate :premises (@p312) :args (@t208)) % 160.47/160.73 (step-pop @p372 :rule scope :premises (@p320)) % 160.47/160.73 (step @p321 :rule process_scope :premises (@p372) :args (@t233)) % 160.47/160.73 (step @p323 :rule eq_resolve :premises (@p321 @p318)) % 160.47/160.73 (step @p324 :rule implies_elim :premises (@p323)) % 160.47/160.73 (step @p325 :rule chain_m_resolution :premises (@p324 @p312) :args (@t235 @t184 (@list @t218))) % 160.47/160.73 (step @p326 :rule cong :premises (@p303 @p244) :args (@t131)) % 160.47/160.73 (step @p327 :rule refl :args (tptp.xQ)) % 160.47/160.73 (step @p328 :rule cong :premises (@p327 @p326) :args (@t132)) % 160.47/160.73 (step @p329 :rule eq_resolve :premises (@p98 @p328)) % 160.47/160.73 (step @p330 :rule cnf_equiv_pos1 :args (@t235)) % 160.47/160.73 (step @p331 :rule reordering :premises (@p330) :args ((or (not @t232) @t234 (not @t235)))) % 160.47/160.73 (step @p332 :rule chain_m_resolution :premises (@p331 @p329 @p325) :args (@t234 @t201 (@list @t232 @t235))) % 160.47/160.73 (step @p333 :rule cnf_and_pos :args (@t234 1)) % 160.47/160.73 (step @p334 :rule reordering :premises (@p333) :args ((or @t209 (not @t234)))) % 160.47/160.73 (step @p335 :rule chain_m_resolution :premises (@p334 @p332) :args (@t209 @t184 (@list @t234))) % 160.47/160.73 (step @p336 :rule cnf_and_neg :args (@t210)) % 160.47/160.73 (step @p337 :rule reordering :premises (@p336) :args ((or (not @t209) @t210 @t236))) % 160.47/160.73 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p277) :args (@t236 (@list false true) (@list @t209 @t210))) % 160.47/160.73 (step @p339 :rule instantiate :premises (@p224) :args ((@list @t115 tptp.xQ))) % 160.47/160.73 (step @p340 :rule cnf_or_pos :args (@t241)) % 160.47/160.73 (step @p341 :rule reordering :premises (@p340) :args ((or @t199 @t240 (not @t241)))) % 160.47/160.73 (step @p342 :rule chain_m_resolution :premises (@p341 @p228 @p339) :args (@t240 @t201 (@list @t198 @t241))) % 160.47/160.74 (step @p343 :rule cong :premises (@p327 @p126) :args (@t134)) % 160.47/160.74 (step @p344 :rule eq_resolve :premises (@p100 @p343)) % 160.47/160.74 (step @p345 :rule cnf_equiv_pos1 :args (@t240)) % 160.47/160.74 (step @p346 :rule reordering :premises (@p345) :args ((or (not @t239) @t238 (not @t240)))) % 160.47/160.74 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p342) :args (@t238 @t201 (@list @t239 @t240))) % 160.47/160.74 (step @p348 :rule cnf_and_pos :args (@t238 0)) % 160.47/160.74 (step @p349 :rule reordering :premises (@p348) :args ((or @t237 (not @t238)))) % 160.47/160.74 (step @p350 :rule chain_m_resolution :premises (@p349 @p347) :args (@t237 @t184 (@list @t238))) % 160.47/160.74 (step @p351 :rule cong :premises (@p327 @p303) :args (@t133)) % 160.47/160.74 (step @p352 :rule and_elim :premises (@p99) :args (0)) % 160.47/160.74 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 160.47/160.74 (step @p354 :rule cong :premises (@p303 @p233) :args (@t130)) % 160.47/160.74 (step @p355 :rule eq_resolve :premises (@p97 @p354)) % 160.47/160.74 (step @p356 :rule cnf_or_pos :args (@t246)) % 160.47/160.74 (step @p357 :rule reordering :premises (@p356) :args ((or @t227 @t243 @t244 @t175 @t245 @t204 @t247))) % 160.47/160.74 (step @p358 :rule chain_m_resolution :premises (@p357 @p306 @p355 @p353 @p242 @p350 @p338) :args (@t247 (@list false false false false false true) (@list @t226 @t242 @t230 @t174 @t237 @t204))) % 160.47/160.74 (assume-push @p373 @t248) % 160.47/160.74 (step @p360 :rule instantiate :premises (@p123) :args ((@list tptp.xQ @t128 @t114))) % 160.47/160.74 (step-pop @p374 :rule scope :premises (@p360)) % 160.47/160.74 (step @p361 :rule process_scope :premises (@p374) :args (@t246)) % 160.47/160.74 (step @p363 :rule implies_elim :premises (@p361)) % 160.47/160.74 (step @p364 false :rule chain_m_resolution :premises (@p363 @p358 @p123) :args (false @t213 (@list @t246 @t248))) % 160.47/160.74 ) % 160.47/160.74 % SZS output end Proof % 160.47/160.74 % cvc5 exiting %------------------------------------------------------------------------------