%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM580+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 : n021.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 0.35s 0.88s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM580+3 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:33:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.88 % SZS status Theorem % 0.35/0.88 % SZS output start Proof % 0.35/0.88 ( % 0.35/0.88 (declare-sort $$unsorted 0) % 0.35/0.88 (declare-const tptp.xQ $$unsorted) % 0.35/0.88 (declare-const tptp.xi $$unsorted) % 0.35/0.88 (declare-const tptp.xN $$unsorted) % 0.35/0.88 (declare-const tptp.sz00 $$unsorted) % 0.35/0.88 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.35/0.88 (declare-const tptp.szNzAzT0 $$unsorted) % 0.35/0.88 (declare-const tptp.xk $$unsorted) % 0.35/0.88 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.88 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.88 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.35/0.88 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.35/0.88 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.35/0.88 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.35/0.88 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.88 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.88 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.xK $$unsorted) % 0.35/0.88 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.xT $$unsorted) % 0.35/0.88 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.xS $$unsorted) % 0.35/0.88 (declare-const tptp.xc $$unsorted) % 0.35/0.88 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.slcrc0 $$unsorted) % 0.35/0.88 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.88 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.88 (define @t1 () (@var "W0" $$unsorted)) % 0.35/0.88 (define @t2 () (tptp.aSet0 @t1)) % 0.35/0.88 (define @t3 () (@list @t1)) % 0.35/0.88 (define @t4 () (tptp.aElement0 @t1)) % 0.35/0.88 (define @t5 () (@var "W1" $$unsorted)) % 0.35/0.88 (define @t6 () (tptp.aElement0 @t5)) % 0.35/0.88 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.35/0.88 (define @t8 () (@list @t5)) % 0.35/0.88 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.35/0.88 (define @t10 () (=> @t2 @t9)) % 0.35/0.88 (define @t11 () (forall @t3 @t10)) % 0.35/0.88 (define @t12 () (tptp.isFinite0 @t1)) % 0.35/0.88 (define @t13 () (= @t1 tptp.slcrc0)) % 0.35/0.88 (define @t14 () (tptp.isCountable0 @t1)) % 0.35/0.88 (define @t15 () (not @t12)) % 0.35/0.88 (define @t16 () (and @t2 @t14)) % 0.35/0.88 (define @t17 () (not @t13)) % 0.35/0.88 (define @t18 () (@var "W2" $$unsorted)) % 0.35/0.88 (define @t19 () (tptp.aElementOf0 @t18 @t1)) % 0.35/0.88 (define @t20 () (tptp.aElementOf0 @t18 @t5)) % 0.35/0.88 (define @t21 () (@list @t18)) % 0.35/0.88 (define @t22 () (tptp.aSet0 @t5)) % 0.35/0.88 (define @t23 () (tptp.aSubsetOf0 @t5 @t1)) % 0.35/0.88 (define @t24 () (tptp.isFinite0 @t5)) % 0.35/0.88 (define @t25 () (and @t2 @t12)) % 0.35/0.88 (define @t26 () (= @t1 @t5)) % 0.35/0.88 (define @t27 () (tptp.aSubsetOf0 @t1 @t5)) % 0.35/0.88 (define @t28 () (@list @t1 @t5)) % 0.35/0.88 (define @t29 () (tptp.aSubsetOf0 @t5 @t18)) % 0.35/0.88 (define @t30 () (tptp.aSet0 @t18)) % 0.35/0.88 (define @t31 () (@list @t1 @t5 @t18)) % 0.35/0.88 (define @t32 () (@var "W3" $$unsorted)) % 0.35/0.88 (define @t33 () (= @t32 @t5)) % 0.35/0.88 (define @t34 () (tptp.aElementOf0 @t32 @t1)) % 0.35/0.88 (define @t35 () (tptp.aElement0 @t32)) % 0.35/0.88 (define @t36 () (tptp.aElementOf0 @t32 @t18)) % 0.35/0.88 (define @t37 () (@list @t32)) % 0.35/0.88 (define @t38 () (tptp.sdtpldt0 @t1 @t5)) % 0.35/0.88 (define @t39 () (and @t2 @t6)) % 0.35/0.88 (define @t40 () (tptp.sdtmndt0 @t1 @t5)) % 0.35/0.88 (define @t41 () (tptp.sdtpldt0 @t5 @t1)) % 0.35/0.88 (define @t42 () (tptp.isCountable0 @t5)) % 0.35/0.88 (define @t43 () (and @t22 @t42)) % 0.35/0.88 (define @t44 () (tptp.sdtmndt0 @t5 @t1)) % 0.35/0.88 (define @t45 () (and @t22 @t24)) % 0.35/0.88 (define @t46 () (tptp.szszuzczcdt0 @t1)) % 0.35/0.88 (define @t47 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.35/0.88 (define @t48 () (tptp.szszuzczcdt0 @t5)) % 0.35/0.88 (define @t49 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.35/0.88 (define @t50 () (and @t47 @t49)) % 0.35/0.88 (define @t51 () (= @t1 tptp.sz00)) % 0.35/0.88 (define @t52 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.35/0.88 (define @t53 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.35/0.88 (define @t54 () (tptp.sdtlseqdt0 @t5 @t18)) % 0.35/0.88 (define @t55 () (tptp.aElementOf0 @t18 tptp.szNzAzT0)) % 0.35/0.88 (define @t56 () (tptp.sbrdtbr0 @t1)) % 0.35/0.88 (define @t57 () (tptp.aElementOf0 @t56 tptp.szNzAzT0)) % 0.35/0.88 (define @t58 () (=> @t2 (= @t57 @t12))) % 0.35/0.88 (define @t59 () (forall @t3 @t58)) % 0.35/0.88 (define @t60 () (tptp.szszuzczcdt0 @t56)) % 0.35/0.88 (define @t61 () (= (tptp.sbrdtbr0 @t38) @t60)) % 0.35/0.88 (define @t62 () (not @t7)) % 0.35/0.88 (define @t63 () (=> @t62 @t61)) % 0.35/0.88 (define @t64 () (forall @t8 (=> @t6 @t63))) % 0.35/0.88 (define @t65 () (=> @t25 @t64)) % 0.35/0.88 (define @t66 () (forall @t3 @t65)) % 0.35/0.88 (define @t67 () (and @t2 @t49)) % 0.35/0.88 (define @t68 () (tptp.szmzizndt0 @t1)) % 0.35/0.88 (define @t69 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.35/0.88 (define @t70 () (tptp.szmzizndt0 @t5)) % 0.35/0.88 (define @t71 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.35/0.88 (define @t72 () (tptp.slbdtrb0 @t1)) % 0.35/0.88 (define @t73 () (tptp.slbdtrb0 @t5)) % 0.35/0.88 (define @t74 () (tptp.sbrdtbr0 @t32)) % 0.35/0.88 (define @t75 () (tptp.aSubsetOf0 @t32 @t1)) % 0.35/0.88 (define @t76 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.35/0.88 (define @t77 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.35/0.88 (define @t78 () (tptp.aFunction0 @t1)) % 0.35/0.88 (define @t79 () (tptp.szDzozmdt0 @t1)) % 0.35/0.88 (define @t80 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.35/0.88 (define @t81 () (tptp.aElementOf0 @t5 @t79)) % 0.35/0.88 (define @t82 () (tptp.sdtlpdtrp0 @t1 @t32)) % 0.35/0.88 (define @t83 () (tptp.aElementOf0 @t32 @t79)) % 0.35/0.88 (define @t84 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.35/0.88 (define @t85 () (and @t78 @t6)) % 0.35/0.88 (define @t86 () (@var "W4" $$unsorted)) % 0.35/0.88 (define @t87 () (tptp.aElementOf0 @t86 @t5)) % 0.35/0.88 (define @t88 () (@list @t86)) % 0.35/0.88 (define @t89 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.35/0.88 (define @t90 () (tptp.aSubsetOf0 @t5 @t79)) % 0.35/0.88 (define @t91 () (tptp.sdtlcdtrc0 @t1 @t79)) % 0.35/0.88 (define @t92 () (tptp.szDzozmdt0 @t18)) % 0.35/0.88 (define @t93 () (tptp.aFunction0 @t18)) % 0.35/0.88 (define @t94 () (tptp.szDzizrdt0 @t1)) % 0.35/0.88 (define @t95 () (tptp.szDzozmdt0 tptp.xc)) % 0.35/0.88 (define @t96 () (tptp.sdtlcdtrc0 tptp.xc @t95)) % 0.35/0.88 (define @t97 () (tptp.aElementOf0 @t1 @t96)) % 0.35/0.88 (define @t98 () (tptp.aElementOf0 @t1 @t95)) % 0.35/0.88 (define @t99 () (= @t56 tptp.xK)) % 0.35/0.88 (define @t100 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.35/0.88 (define @t101 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.35/0.88 (define @t102 () (@var "W5" $$unsorted)) % 0.35/0.88 (define @t103 () (@var "W6" $$unsorted)) % 0.35/0.88 (define @t104 () (@list @t102)) % 0.35/0.88 (define @t105 () (tptp.aElementOf0 @t32 tptp.xT)) % 0.35/0.88 (define @t106 () (tptp.sdtlcdtrc0 @t18 @t92)) % 0.35/0.88 (define @t107 () (tptp.aElementOf0 @t32 @t106)) % 0.35/0.88 (define @t108 () (tptp.aElementOf0 @t32 @t92)) % 0.35/0.88 (define @t109 () (= @t74 @t1)) % 0.35/0.88 (define @t110 () (tptp.aSubsetOf0 @t32 @t5)) % 0.35/0.88 (define @t111 () (forall @t88 (=> (tptp.aElementOf0 @t86 @t32) @t87))) % 0.35/0.88 (define @t112 () (tptp.aSet0 @t32)) % 0.35/0.88 (define @t113 () (tptp.sdtlpdtrp0 tptp.xN @t46)) % 0.35/0.88 (define @t114 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.35/0.88 (define @t115 () (tptp.szmzizndt0 @t114)) % 0.35/0.88 (define @t116 () (tptp.sdtmndt0 @t114 @t115)) % 0.35/0.88 (define @t117 () (tptp.aElementOf0 @t5 @t116)) % 0.35/0.88 (define @t118 () (tptp.aElementOf0 @t5 @t114)) % 0.35/0.88 (define @t119 () (tptp.aElementOf0 @t115 @t114)) % 0.35/0.88 (define @t120 () (tptp.isCountable0 @t114)) % 0.35/0.88 (define @t121 () (tptp.aSubsetOf0 @t114 tptp.szNzAzT0)) % 0.35/0.88 (define @t122 () (forall @t8 (=> @t118 @t49))) % 0.35/0.88 (define @t123 () (tptp.aSet0 @t114)) % 0.35/0.88 (define @t124 () (and @t123 @t122 @t121 @t120)) % 0.35/0.88 (define @t125 () (=> @t47 @t124)) % 0.35/0.88 (define @t126 () (forall @t3 @t125)) % 0.35/0.88 (define @t127 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.35/0.88 (define @t128 () (tptp.aElementOf0 @t18 @t127)) % 0.35/0.88 (define @t129 () (tptp.aElementOf0 @t18 @t114)) % 0.35/0.88 (define @t130 () (tptp.sdtlseqdt0 @t115 @t18)) % 0.35/0.88 (define @t131 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 0.35/0.88 (define @t132 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 0.35/0.88 (define @t133 () (tptp.szmzizndt0 @t132)) % 0.35/0.88 (define @t134 () (tptp.sdtmndt0 @t132 @t133)) % 0.35/0.88 (define @t135 () (tptp.sbrdtbr0 tptp.xQ)) % 0.35/0.88 (define @t136 () (tptp.aElementOf0 @t1 @t134)) % 0.35/0.88 (define @t137 () (tptp.aElementOf0 @t1 tptp.xQ)) % 0.35/0.88 (define @t138 () (forall @t3 (=> @t137 @t136))) % 0.35/0.88 (define @t139 () (tptp.aSet0 tptp.xQ)) % 0.35/0.88 (define @t140 () (= @t1 @t133)) % 0.35/0.88 (define @t141 () (tptp.aElementOf0 @t1 @t132)) % 0.35/0.88 (define @t142 () (forall @t3 (= @t136 (and @t4 @t141 (not @t140))))) % 0.35/0.88 (define @t143 () (tptp.sdtlseqdt0 @t133 @t1)) % 0.35/0.88 (define @t144 () (forall @t3 (=> @t141 @t143))) % 0.35/0.88 (define @t145 () (tptp.aElementOf0 @t133 @t132)) % 0.35/0.88 (define @t146 () (tptp.sdtpldt0 tptp.xQ @t133)) % 0.35/0.88 (define @t147 () (tptp.sbrdtbr0 @t146)) % 0.35/0.88 (define @t148 () (and (tptp.aSet0 @t146) (forall @t3 (= (tptp.aElementOf0 @t1 @t146) (and @t4 (or @t137 @t140)))))) % 0.35/0.88 (define @t149 () (=> @t148 (= @t147 tptp.xK))) % 0.35/0.88 (define @t150 () (and @t145 @t144)) % 0.35/0.88 (define @t151 () (=> @t150 @t149)) % 0.35/0.88 (define @t152 () (not @t151)) % 0.35/0.88 (define @t153 () (@var "BOUND_VARIABLE_8602" $$unsorted)) % 0.35/0.88 (define @t154 () (tptp.sbrdtbr0 (tptp.sdtpldt0 @t1 @t153))) % 0.35/0.88 (define @t155 () (tptp.aElementOf0 @t153 @t1)) % 0.35/0.88 (define @t156 () (not (tptp.aElement0 @t153))) % 0.35/0.88 (define @t157 () (not @t2)) % 0.35/0.88 (define @t158 () (= @t154 @t60)) % 0.35/0.88 (define @t159 () (or @t157 @t15 @t156 @t155 @t158)) % 0.35/0.88 (define @t160 () (or @t156 @t155 @t158)) % 0.35/0.88 (define @t161 () (or @t157 @t15 @t160)) % 0.35/0.88 (define @t162 () (@list @t1 @t153)) % 0.35/0.88 (define @t163 () (forall @t162 @t161)) % 0.35/0.88 (define @t164 () (@list @t153)) % 0.35/0.88 (define @t165 () (forall @t164 @t161)) % 0.35/0.88 (define @t166 () (forall @t164 @t160)) % 0.35/0.88 (define @t167 () (@list @t5)) % 0.35/0.88 (define @t168 () (or @t157 @t15 @t166)) % 0.35/0.88 (define @t169 () (not @t6)) % 0.35/0.88 (define @t170 () (or @t169 @t7 @t61)) % 0.35/0.88 (define @t171 () (forall @t8 @t170)) % 0.35/0.88 (define @t172 () (or @t157 @t15 @t171)) % 0.35/0.88 (define @t173 () (tptp.szszuzczcdt0 @t135)) % 0.35/0.88 (define @t174 () (tptp.aElementOf0 @t133 tptp.xQ)) % 0.35/0.88 (define @t175 () (tptp.aElement0 @t133)) % 0.35/0.88 (define @t176 () (not @t175)) % 0.35/0.88 (define @t177 () (tptp.isFinite0 tptp.xQ)) % 0.35/0.88 (define @t178 () (not @t177)) % 0.35/0.88 (define @t179 () (not @t139)) % 0.35/0.88 (define @t180 () (= @t173 @t147)) % 0.35/0.88 (define @t181 () (or @t179 @t178 @t176 @t174 @t180)) % 0.35/0.88 (define @t182 () (forall @t162 (or @t157 @t15 @t156 @t155 (= @t60 @t154)))) % 0.35/0.88 (define @t183 () (= @t147 @t173)) % 0.35/0.88 (define @t184 () (or @t179 @t178 @t176 @t174 @t183)) % 0.35/0.88 (define @t185 () (@list false)) % 0.35/0.88 (define @t186 () (@var "BOUND_VARIABLE_8205" $$unsorted)) % 0.35/0.88 (define @t187 () (tptp.aElement0 @t186)) % 0.35/0.88 (define @t188 () (not (tptp.aElementOf0 @t186 @t1))) % 0.35/0.88 (define @t189 () (or @t188 @t187)) % 0.35/0.88 (define @t190 () (or @t157 @t189)) % 0.35/0.88 (define @t191 () (forall (@list @t1 @t186) @t190)) % 0.35/0.88 (define @t192 () (@list @t186)) % 0.35/0.88 (define @t193 () (forall @t192 @t190)) % 0.35/0.88 (define @t194 () (forall @t192 @t189)) % 0.35/0.88 (define @t195 () (or @t157 @t194)) % 0.35/0.88 (define @t196 () (forall @t8 (or @t62 @t6))) % 0.35/0.88 (define @t197 () (@var "BOUND_VARIABLE_9854" $$unsorted)) % 0.35/0.88 (define @t198 () (or (not (tptp.aElementOf0 @t197 @t114)) (tptp.aElementOf0 @t197 tptp.szNzAzT0))) % 0.35/0.88 (define @t199 () (and @t123 @t198 @t121 @t120)) % 0.35/0.88 (define @t200 () (not @t47)) % 0.35/0.88 (define @t201 () (or @t200 @t199)) % 0.35/0.88 (define @t202 () (@list @t197)) % 0.35/0.88 (define @t203 () (forall @t202 @t201)) % 0.35/0.88 (define @t204 () (forall @t202 @t120)) % 0.35/0.88 (define @t205 () (forall @t202 @t121)) % 0.35/0.88 (define @t206 () (forall @t202 @t198)) % 0.35/0.88 (define @t207 () (forall @t202 @t123)) % 0.35/0.88 (define @t208 () (and @t207 @t206 @t205 @t204)) % 0.35/0.88 (define @t209 () (forall @t202 @t199)) % 0.35/0.88 (define @t210 () (or @t200 @t209)) % 0.35/0.88 (define @t211 () (and @t123 (forall @t8 (or (not @t118) @t49)) @t121 @t120)) % 0.35/0.88 (define @t212 () (not @t145)) % 0.35/0.88 (define @t213 () (tptp.aSet0 @t132)) % 0.35/0.88 (define @t214 () (and @t213 (or @t212 (tptp.aElementOf0 @t133 tptp.szNzAzT0)) (tptp.aSubsetOf0 @t132 tptp.szNzAzT0) (tptp.isCountable0 @t132))) % 0.35/0.88 (define @t215 () (not @t131)) % 0.35/0.88 (define @t216 () (or @t215 @t214)) % 0.35/0.88 (define @t217 () (@list false false)) % 0.35/0.88 (define @t218 () (not @t213)) % 0.35/0.88 (define @t219 () (or @t218 @t212 @t175)) % 0.35/0.88 (define @t220 () (= @t12 @t57)) % 0.35/0.88 (define @t221 () (tptp.aElementOf0 @t135 tptp.szNzAzT0)) % 0.35/0.88 (define @t222 () (= @t177 @t221)) % 0.35/0.88 (define @t223 () (or @t179 @t222)) % 0.35/0.88 (define @t224 () (tptp.aElementOf0 @t133 @t134)) % 0.35/0.88 (define @t225 () (not (= @t133 @t133))) % 0.35/0.88 (define @t226 () (and @t175 @t145 @t225)) % 0.35/0.88 (define @t227 () (= @t224 @t226)) % 0.35/0.88 (define @t228 () (@list @t133)) % 0.35/0.88 (define @t229 () (not @t174)) % 0.35/0.88 (define @t230 () (or @t229 @t224)) % 0.35/0.88 (define @t231 () (not @t230)) % 0.35/0.88 (define @t232 () (@list true false)) % 0.35/0.88 (define @t233 () (forall @t3 (or (not @t137) @t136))) % 0.35/0.88 (assume @p1 (forall @t3 (=> @t2 true))) % 0.35/0.88 (assume @p2 (forall @t3 (=> @t4 true))) % 0.35/0.88 (assume @p3 @t11) % 0.35/0.88 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 0.35/0.88 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 0.35/0.88 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.35/0.88 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 0.35/0.88 (assume @p8 (forall @t3 (=> @t16 @t15))) % 0.35/0.88 (assume @p9 (forall @t3 (=> @t16 @t17))) % 0.35/0.88 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t23 (and @t22 (forall @t21 (=> @t20 @t19)))))))) % 0.35/0.88 (assume @p11 (forall @t3 (=> @t25 (forall @t8 (=> @t23 @t24))))) % 0.35/0.88 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.35/0.88 (assume @p13 (forall @t28 (=> (and @t2 @t22) (=> (and @t27 @t23) @t26)))) % 0.35/0.88 (assume @p14 (forall @t31 (=> (and @t2 @t22 @t30) (=> (and @t27 @t29) (tptp.aSubsetOf0 @t1 @t18))))) % 0.35/0.88 (assume @p15 (forall @t28 (=> @t39 (forall @t21 (= (= @t18 @t38) (and @t30 (forall @t37 (= @t36 (and @t35 (or @t34 @t33)))))))))) % 0.35/0.88 (assume @p16 (forall @t28 (=> @t39 (forall @t21 (= (= @t18 @t40) (and @t30 (forall @t37 (= @t36 (and @t35 @t34 (not @t33)))))))))) % 0.35/0.88 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t40 @t5) @t1)))))) % 0.35/0.88 (assume @p18 (forall @t28 (=> (and @t4 @t22) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t41 @t1) @t5))))) % 0.35/0.88 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isCountable0 @t41)))))) % 0.35/0.88 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isCountable0 @t44)))))) % 0.35/0.88 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isFinite0 @t41)))))) % 0.35/0.88 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isFinite0 @t44)))))) % 0.35/0.88 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.35/0.88 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.35/0.88 (assume @p25 (forall @t3 (=> @t47 (and (tptp.aElementOf0 @t46 tptp.szNzAzT0) (not (= @t46 tptp.sz00)))))) % 0.35/0.88 (assume @p26 (forall @t28 (=> @t50 (=> (= @t46 @t48) @t26)))) % 0.35/0.88 (assume @p27 (forall @t3 (=> @t47 (or @t51 (exists @t8 (and @t49 (= @t1 @t48))))))) % 0.35/0.88 (assume @p28 (forall @t3 (=> @t47 (not (= @t1 @t46))))) % 0.35/0.88 (assume @p29 (forall @t28 (=> @t50 (=> @t52 true)))) % 0.35/0.88 (assume @p30 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.35/0.88 (assume @p31 (forall @t3 (=> @t47 (not (tptp.sdtlseqdt0 @t46 tptp.sz00))))) % 0.35/0.88 (assume @p32 (forall @t28 (=> @t50 (= @t52 (tptp.sdtlseqdt0 @t46 @t48))))) % 0.35/0.88 (assume @p33 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t46)))) % 0.35/0.88 (assume @p34 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.35/0.88 (assume @p35 (forall @t28 (=> @t50 (=> (and @t52 @t53) @t26)))) % 0.35/0.88 (assume @p36 (forall @t31 (=> (and @t47 @t49 @t55) (=> (and @t52 @t54) (tptp.sdtlseqdt0 @t1 @t18))))) % 0.35/0.88 (assume @p37 (forall @t28 (=> @t50 (or @t52 (tptp.sdtlseqdt0 @t48 @t1))))) % 0.35/0.88 (assume @p38 (forall @t28 (=> @t50 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.35/0.88 (assume @p39 (forall @t3 (=> @t47 (tptp.iLess0 @t1 @t46)))) % 0.35/0.88 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t56)))) % 0.35/0.88 (assume @p41 @t59) % 0.35/0.88 (assume @p42 (forall @t3 (=> @t2 (= (= @t56 tptp.sz00) @t13)))) % 0.35/0.88 (assume @p43 @t66) % 0.35/0.88 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t40)) @t56)))))) % 0.35/0.88 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t23) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t56)))))) % 0.35/0.88 (assume @p46 (forall @t28 (=> @t67 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t56)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5))))))) % 0.35/0.88 (assume @p47 (forall @t3 (=> (and @t69 @t17) (forall @t8 (= (= @t5 @t68) (and @t7 (forall @t21 (=> @t19 @t54)))))))) % 0.35/0.88 (assume @p48 (forall @t3 (=> (and @t69 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5))))))))) % 0.35/0.88 (assume @p49 (forall @t28 (=> (and @t69 @t71 @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t68 @t5) (tptp.aElementOf0 @t70 @t1)) (= @t68 @t70))))) % 0.35/0.88 (assume @p50 (forall @t3 (=> @t47 (forall @t8 (= (= @t5 @t72) (and @t22 (forall @t21 (= @t20 (and @t55 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1)))))))))) % 0.35/0.88 (assume @p51 (forall @t3 (=> @t47 (tptp.isFinite0 @t72)))) % 0.35/0.88 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.35/0.88 (assume @p53 (forall @t28 (=> @t50 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t48)) (or (tptp.aElementOf0 @t1 @t73) @t26))))) % 0.35/0.88 (assume @p54 (forall @t28 (=> @t50 (= @t52 (tptp.aSubsetOf0 @t72 @t73))))) % 0.35/0.88 (assume @p55 (forall @t3 (=> (and @t69 @t12) (exists @t8 (and @t49 (tptp.aSubsetOf0 @t1 @t73)))))) % 0.35/0.88 (assume @p56 (forall @t3 (=> @t47 (= (tptp.sbrdtbr0 @t72) @t1)))) % 0.35/0.88 (assume @p57 (forall @t28 (=> @t67 (forall @t21 (= (= @t18 @t76) (and @t30 (forall @t37 (= @t36 (and @t75 (= @t74 @t5)))))))))) % 0.35/0.88 (assume @p58 (forall @t3 (=> @t25 (forall @t8 (=> @t49 (tptp.isFinite0 @t76)))))) % 0.35/0.88 (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t49 (not (= @t76 tptp.slcrc0))))))) % 0.35/0.88 (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t49 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t76)))))) % 0.35/0.88 (assume @p61 (forall @t3 (=> @t47 (forall (@list @t5 @t18) (=> (and @t22 @t30 (not @t51)) (=> (and (tptp.aSubsetOf0 @t77 (tptp.slbdtsldtrb0 @t18 @t1)) (not (= @t77 tptp.slcrc0))) @t29)))))) % 0.35/0.88 (assume @p62 (forall @t28 (=> @t67 (forall @t21 (=> (and (tptp.aSubsetOf0 @t18 @t76) (tptp.isFinite0 @t18)) (exists @t37 (and @t75 (tptp.isFinite0 @t32) (tptp.aSubsetOf0 @t18 (tptp.slbdtsldtrb0 @t32 @t5))))))))) % 0.35/0.88 (assume @p63 (forall @t3 (=> @t78 true))) % 0.35/0.88 (assume @p64 (forall @t3 (=> @t78 (tptp.aSet0 @t79)))) % 0.35/0.88 (assume @p65 (forall @t3 (=> @t78 (forall @t8 (=> @t81 (tptp.aElement0 @t80)))))) % 0.35/0.88 (assume @p66 (forall @t28 (=> @t85 (forall @t21 (= (= @t18 @t84) (and @t30 (forall @t37 (= @t36 (and @t83 (= @t82 @t5)))))))))) % 0.35/0.88 (assume @p67 (forall @t28 (=> @t85 (tptp.aSubsetOf0 @t84 @t79)))) % 0.35/0.88 (assume @p68 (forall @t3 (=> @t78 (forall @t8 (=> @t90 (forall @t21 (= (= @t18 @t89) (and @t30 (forall @t37 (= @t36 (exists @t88 (and @t87 (= (tptp.sdtlpdtrp0 @t1 @t86) @t32))))))))))))) % 0.35/0.88 (assume @p69 (forall @t3 (=> @t78 (forall @t8 (=> @t81 (tptp.aElementOf0 @t80 @t91)))))) % 0.35/0.88 (assume @p70 (forall @t3 (=> @t78 (forall @t8 (=> @t90 (forall @t21 (= (= @t18 (tptp.sdtexdt0 @t1 @t5)) (and @t93 (= @t92 @t5) (forall @t37 (=> (tptp.aElementOf0 @t32 @t5) (= (tptp.sdtlpdtrp0 @t18 @t32) @t82))))))))))) % 0.35/0.88 (assume @p71 (forall @t3 (=> @t78 (forall @t8 (=> (and @t90 @t42) (=> (forall (@list @t18 @t32) (=> (and (tptp.aElementOf0 @t18 @t79) @t83 (not (= @t18 @t32))) (not (= (tptp.sdtlpdtrp0 @t1 @t18) @t82)))) (tptp.isCountable0 @t89))))))) % 0.35/0.88 (assume @p72 (forall @t3 (=> @t78 (=> (and (tptp.isCountable0 @t79) (tptp.isFinite0 @t91)) (and (tptp.aElement0 @t94) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t94))))))) % 0.35/0.88 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.35/0.88 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.35/0.88 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xS) @t47)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 0.35/0.88 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t98 (and @t2 @t101 @t100 @t99)) (=> (and (or (and @t2 @t101) @t100) @t99) @t98))) (= @t95 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSet0 @t96) (forall @t3 (= @t97 (exists @t8 (and (tptp.aElementOf0 @t5 @t95) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t97 (tptp.aElementOf0 @t1 tptp.xT))) (tptp.aSubsetOf0 @t96 tptp.xT))) % 0.35/0.88 (assume @p77 (forall @t3 (=> @t47 (forall @t8 (=> (and (or (and @t22 (forall @t21 (=> @t20 @t55))) @t71) @t42) (forall @t21 (=> (and @t93 (or (forall @t37 (and (=> @t108 (and (or (and @t112 @t111) @t110) @t109)) (=> (and @t112 @t111 @t110 @t109) @t108))) (= @t92 @t77)) (=> (and (tptp.aSet0 @t106) (forall @t37 (= @t107 (exists @t88 (and (tptp.aElementOf0 @t86 @t92) (= (tptp.sdtlpdtrp0 @t18 @t86) @t32)))))) (or (forall @t37 (=> @t107 @t105)) (tptp.aSubsetOf0 @t106 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t37 (and @t105 (exists @t88 (and (tptp.aSet0 @t86) (forall @t104 (=> (tptp.aElementOf0 @t102 @t86) (tptp.aElementOf0 @t102 @t5))) (tptp.aSubsetOf0 @t86 @t5) (tptp.isCountable0 @t86) (forall @t104 (=> (or (and (or (and (tptp.aSet0 @t102) (forall (@list @t103) (=> (tptp.aElementOf0 @t103 @t102) (tptp.aElementOf0 @t103 @t86)))) (tptp.aSubsetOf0 @t102 @t86)) (= (tptp.sbrdtbr0 @t102) @t1)) (tptp.aElementOf0 @t102 (tptp.slbdtsldtrb0 @t86 @t1))) (= (tptp.sdtlpdtrp0 @t18 @t102) @t32))))))))))))))) % 0.35/0.88 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.35/0.88 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.35/0.88 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t47 (=> (and (or (and @t123 @t122) @t121) @t120) (and @t119 (forall @t8 (=> @t118 (tptp.sdtlseqdt0 @t115 @t5))) (tptp.aSet0 @t116) (forall @t8 (= @t117 (and @t6 @t118 (not (= @t5 @t115))))) (tptp.aSet0 @t113) (forall @t8 (=> (tptp.aElementOf0 @t5 @t113) @t117)) (tptp.aSubsetOf0 @t113 @t116) (tptp.isCountable0 @t113))))))) % 0.35/0.88 (assume @p81 @t126) % 0.35/0.88 (assume @p82 (forall @t28 (=> @t50 (=> @t53 (and (forall @t21 (=> @t129 @t128)) (tptp.aSubsetOf0 @t114 @t127)))))) % 0.35/0.88 (assume @p83 (forall @t28 (=> (and @t47 @t49 (not @t26)) (not (=> (and @t119 (forall @t21 (=> @t129 @t130))) (or (and (tptp.aElementOf0 @t115 @t127) (forall @t21 (=> @t128 @t130))) (= @t115 (tptp.szmzizndt0 @t127)))))))) % 0.35/0.88 (assume @p84 @t131) % 0.35/0.88 (assume @p85 (and @t145 @t144 (tptp.aSet0 @t134) @t142 @t139 @t138 (tptp.aSubsetOf0 tptp.xQ @t134) (= @t135 tptp.xk) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 @t134 tptp.xk)))) % 0.35/0.88 (assume @p86 @t152) % 0.35/0.88 (assume @p87 true) % 0.35/0.88 (step @p88 :rule bool-impl-elim :args (@t137 @t136)) % 0.35/0.88 (step @p89 :rule cong :premises (@p88) :args (@t138)) % 0.35/0.88 (step @p90 :rule and_elim :premises (@p85) :args (5)) % 0.35/0.88 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.35/0.88 (step @p92 :rule eq-symm :args (@t154 @t60)) % 0.35/0.88 (step @p93 :rule refl :args (@t155)) % 0.35/0.88 (step @p94 :rule refl :args (@t156)) % 0.35/0.88 (step @p95 :rule refl :args (@t15)) % 0.35/0.88 (step @p96 :rule refl :args (@t157)) % 0.35/0.88 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93 @p92) :args (@t159)) % 0.35/0.88 (step @p98 :rule aci_norm :args ((= @t161 @t159))) % 0.35/0.88 (step @p99 :rule trans :premises (@p98 @p97)) % 0.35/0.88 (step @p100 :rule cong :premises (@p99) :args (@t163)) % 0.35/0.88 (step @p101 :rule quant-merge-prenex :args ((= (forall @t3 @t165) @t163))) % 0.35/0.88 (step @p102 :rule alpha_equiv :args (@t166 (@list @t153) @t167)) % 0.35/0.88 (step @p103 :rule refl :args (@t15)) % 0.35/0.88 (step @p104 :rule refl :args (@t157)) % 0.35/0.88 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args (@t168)) % 0.35/0.88 (step @p106 :rule quant-miniscope-or :args ((= @t165 @t168))) % 0.35/0.88 (step @p107 :rule trans :premises (@p106 @p105)) % 0.35/0.88 (step @p108 :rule symm :premises (@p107)) % 0.35/0.88 (step @p109 :rule cong :premises (@p108) :args ((forall @t3 @t172))) % 0.35/0.88 (step @p110 :rule trans :premises (@p109 @p101)) % 0.35/0.88 (step @p111 :rule trans :premises (@p110 @p100)) % 0.35/0.88 (step @p112 :rule aci_norm :args ((= (or (or @t157 @t15) @t171) @t172))) % 0.35/0.88 (step @p113 :rule refl :args (@t171)) % 0.35/0.88 (step @p114 :rule bool-and-de-morgan :args (@t2 @t12 true)) % 0.35/0.88 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t25) @t171))) % 0.35/0.88 (step @p116 :rule trans :premises (@p115 @p112)) % 0.35/0.88 (step @p117 :rule bool-impl-elim :args (@t25 @t171)) % 0.35/0.88 (step @p118 :rule trans :premises (@p117 @p116)) % 0.35/0.88 (step @p119 :rule cong :premises (@p118) :args ((forall @t3 (=> @t25 @t171)))) % 0.35/0.88 (step @p120 :rule trans :premises (@p119 @p111)) % 0.35/0.88 (step @p121 :rule aci_norm :args ((= (or @t169 (or @t7 @t61)) @t170))) % 0.35/0.88 (step @p122 :rule refl :args (@t61)) % 0.35/0.88 (step @p123 :rule bool-double-not-elim :args (@t7)) % 0.35/0.88 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or (not @t62) @t61))) % 0.35/0.88 (step @p125 :rule bool-impl-elim :args (@t62 @t61)) % 0.35/0.88 (step @p126 :rule trans :premises (@p125 @p124)) % 0.35/0.88 (step @p127 :rule refl :args (@t169)) % 0.35/0.88 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t169 @t63))) % 0.35/0.88 (step @p129 :rule trans :premises (@p128 @p121)) % 0.35/0.88 (step @p130 :rule bool-impl-elim :args (@t6 @t63)) % 0.35/0.88 (step @p131 :rule trans :premises (@p130 @p129)) % 0.35/0.88 (step @p132 :rule cong :premises (@p131) :args (@t64)) % 0.35/0.88 (step @p133 :rule refl :args (@t25)) % 0.35/0.88 (step @p134 :rule cong :premises (@p133 @p132) :args (@t65)) % 0.35/0.88 (step @p135 :rule cong :premises (@p134) :args (@t66)) % 0.35/0.88 (step @p136 :rule trans :premises (@p135 @p120)) % 0.35/0.88 (step @p137 :rule eq_resolve :premises (@p43 @p136)) % 0.35/0.88 (step @p138 :rule eq-symm :args (@t173 @t147)) % 0.35/0.88 (step @p139 :rule refl :args (@t174)) % 0.35/0.88 (step @p140 :rule refl :args (@t176)) % 0.35/0.88 (step @p141 :rule refl :args (@t178)) % 0.35/0.88 (step @p142 :rule refl :args (@t179)) % 0.35/0.88 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140 @p139 @p138) :args (@t181)) % 0.35/0.88 (step @p144 :rule refl :args (@t182)) % 0.35/0.88 (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t182 @t181))) % 0.35/0.88 (assume-push @p299 @t182) % 0.35/0.88 (step @p147 :rule instantiate :premises (@p137) :args ((@list tptp.xQ @t133))) % 0.35/0.88 (step-pop @p300 :rule scope :premises (@p147)) % 0.35/0.88 (step @p148 :rule process_scope :premises (@p300) :args (@t181)) % 0.35/0.88 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 0.35/0.88 (step @p151 :rule implies_elim :premises (@p150)) % 0.35/0.88 (step @p152 :rule chain_m_resolution :premises (@p151 @p137) :args (@t184 @t185 (@list @t182))) % 0.35/0.88 (step @p153 :rule bool-eq-false :args (@t183)) % 0.35/0.88 (step @p154 :rule symm :premises (@p153)) % 0.35/0.88 (step @p155 :rule cong :premises (@p138) :args ((not @t180))) % 0.35/0.88 (step @p156 :rule bool-eq-false :args (@t180)) % 0.35/0.88 (step @p157 :rule trans :premises (@p156 @p155)) % 0.35/0.88 (step @p158 :rule trans :premises (@p157 @p154)) % 0.35/0.88 (step @p159 :rule eq-symm :args (@t147 tptp.xK)) % 0.35/0.88 (step @p160 :rule refl :args (@t148)) % 0.35/0.88 (step @p161 :rule cong :premises (@p160 @p159) :args (@t149)) % 0.35/0.88 (step @p162 :rule bool-impl-elim :args (@t141 @t143)) % 0.35/0.88 (step @p163 :rule cong :premises (@p162) :args (@t144)) % 0.35/0.88 (step @p164 :rule refl :args (@t145)) % 0.35/0.88 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t150)) % 0.35/0.88 (step @p166 :rule cong :premises (@p165 @p161) :args (@t151)) % 0.35/0.88 (step @p167 :rule cong :premises (@p166) :args (@t152)) % 0.35/0.88 (step @p168 :rule eq_resolve :premises (@p86 @p167)) % 0.35/0.88 (step @p169 :rule not_implies_elim2 :premises (@p168)) % 0.35/0.88 (step @p170 :rule not_implies_elim2 :premises (@p169)) % 0.35/0.88 (step @p171 :rule false_intro :premises (@p170)) % 0.35/0.88 (step @p172 :rule refl :args (@t147)) % 0.35/0.88 (step @p173 :rule and_elim :premises (@p79) :args (1)) % 0.35/0.88 (step @p174 :rule and_elim :premises (@p85) :args (7)) % 0.35/0.88 (step @p175 :rule cong :premises (@p174) :args (@t173)) % 0.35/0.88 (step @p176 :rule trans :premises (@p175 @p173)) % 0.35/0.88 (step @p177 :rule cong :premises (@p176 @p172) :args (@t180)) % 0.35/0.88 (step @p178 :rule trans :premises (@p177 @p171)) % 0.35/0.88 (step @p179 :rule eq_resolve :premises (@p178 @p158)) % 0.35/0.88 (step @p180 :rule false_elim :premises (@p179)) % 0.35/0.88 (step @p181 :rule aci_norm :args ((= @t190 (or @t157 @t188 @t187)))) % 0.35/0.88 (step @p182 :rule cong :premises (@p181) :args (@t191)) % 0.35/0.88 (step @p183 :rule quant-merge-prenex :args ((= (forall @t3 @t193) @t191))) % 0.35/0.88 (step @p184 :rule alpha_equiv :args (@t194 (@list @t186) @t167)) % 0.35/0.88 (step @p185 :rule nary_cong :premises (@p104 @p184) :args (@t195)) % 0.35/0.88 (step @p186 :rule quant-miniscope-or :args ((= @t193 @t195))) % 0.35/0.88 (step @p187 :rule trans :premises (@p186 @p185)) % 0.35/0.88 (step @p188 :rule symm :premises (@p187)) % 0.35/0.88 (step @p189 :rule cong :premises (@p188) :args ((forall @t3 (or @t157 @t196)))) % 0.35/0.88 (step @p190 :rule trans :premises (@p189 @p183)) % 0.35/0.88 (step @p191 :rule trans :premises (@p190 @p182)) % 0.35/0.88 (step @p192 :rule bool-impl-elim :args (@t2 @t196)) % 0.35/0.88 (step @p193 :rule cong :premises (@p192) :args ((forall @t3 (=> @t2 @t196)))) % 0.35/0.88 (step @p194 :rule trans :premises (@p193 @p191)) % 0.35/0.88 (step @p195 :rule bool-impl-elim :args (@t7 @t6)) % 0.35/0.88 (step @p196 :rule cong :premises (@p195) :args (@t9)) % 0.35/0.88 (step @p197 :rule refl :args (@t2)) % 0.35/0.88 (step @p198 :rule cong :premises (@p197 @p196) :args (@t10)) % 0.35/0.88 (step @p199 :rule cong :premises (@p198) :args (@t11)) % 0.35/0.88 (step @p200 :rule trans :premises (@p199 @p194)) % 0.35/0.88 (step @p201 :rule eq_resolve :premises (@p3 @p200)) % 0.35/0.88 (step @p202 :rule instantiate :premises (@p201) :args ((@list @t132 @t133))) % 0.35/0.88 (step @p203 :rule quant-merge-prenex :args ((= (forall @t3 @t203) (forall (@list @t1 @t197) @t201)))) % 0.35/0.88 (step @p204 :rule quant-unused-vars :args ((= @t204 @t120))) % 0.35/0.88 (step @p205 :rule quant-unused-vars :args ((= @t205 @t121))) % 0.35/0.88 (step @p206 :rule alpha_equiv :args (@t206 (@list @t197) @t167)) % 0.35/0.88 (step @p207 :rule quant-unused-vars :args ((= @t207 @t123))) % 0.35/0.88 (step @p208 :rule nary_cong :premises (@p207 @p206 @p205 @p204) :args (@t208)) % 0.35/0.88 (step @p209 :rule quant-miniscope-and :args ((= @t209 @t208))) % 0.35/0.88 (step @p210 :rule trans :premises (@p209 @p208)) % 0.35/0.88 (step @p211 :rule refl :args (@t200)) % 0.35/0.88 (step @p212 :rule nary_cong :premises (@p211 @p210) :args (@t210)) % 0.35/0.88 (step @p213 :rule quant-miniscope-or :args ((= @t203 @t210))) % 0.35/0.88 (step @p214 :rule trans :premises (@p213 @p212)) % 0.35/0.88 (step @p215 :rule symm :premises (@p214)) % 0.35/0.88 (step @p216 :rule cong :premises (@p215) :args ((forall @t3 (or @t200 @t211)))) % 0.35/0.88 (step @p217 :rule trans :premises (@p216 @p203)) % 0.35/0.88 (step @p218 :rule bool-impl-elim :args (@t47 @t211)) % 0.35/0.88 (step @p219 :rule cong :premises (@p218) :args ((forall @t3 (=> @t47 @t211)))) % 0.35/0.88 (step @p220 :rule trans :premises (@p219 @p217)) % 0.35/0.88 (step @p221 :rule refl :args (@t120)) % 0.35/0.88 (step @p222 :rule refl :args (@t121)) % 0.35/0.88 (step @p223 :rule bool-impl-elim :args (@t118 @t49)) % 0.35/0.88 (step @p224 :rule cong :premises (@p223) :args (@t122)) % 0.35/0.88 (step @p225 :rule refl :args (@t123)) % 0.35/0.88 (step @p226 :rule nary_cong :premises (@p225 @p224 @p222 @p221) :args (@t124)) % 0.35/0.88 (step @p227 :rule refl :args (@t47)) % 0.35/0.88 (step @p228 :rule cong :premises (@p227 @p226) :args (@t125)) % 0.35/0.88 (step @p229 :rule cong :premises (@p228) :args (@t126)) % 0.35/0.88 (step @p230 :rule trans :premises (@p229 @p220)) % 0.35/0.88 (step @p231 :rule eq_resolve :premises (@p81 @p230)) % 0.35/0.88 (step @p232 :rule instantiate :premises (@p231) :args ((@list tptp.xi @t133))) % 0.35/0.88 (step @p233 :rule cnf_or_pos :args (@t216)) % 0.35/0.88 (step @p234 :rule reordering :premises (@p233) :args ((or @t215 @t214 (not @t216)))) % 0.35/0.88 (step @p235 :rule chain_m_resolution :premises (@p234 @p84 @p232) :args (@t214 @t217 (@list @t131 @t216))) % 0.35/0.88 (step @p236 :rule cnf_and_pos :args (@t214 0)) % 0.35/0.88 (step @p237 :rule reordering :premises (@p236) :args ((or @t213 (not @t214)))) % 0.35/0.88 (step @p238 :rule chain_m_resolution :premises (@p237 @p235) :args (@t213 @t185 (@list @t214))) % 0.35/0.88 (step @p239 :rule not_implies_elim1 :premises (@p168)) % 0.35/0.88 (step @p240 :rule and_elim :premises (@p239) :args (0)) % 0.35/0.88 (step @p241 :rule cnf_or_pos :args (@t219)) % 0.35/0.88 (step @p242 :rule reordering :premises (@p241) :args ((or @t212 @t218 @t175 (not @t219)))) % 0.35/0.88 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p238 @p202) :args (@t175 (@list false false false) (@list @t145 @t213 @t219))) % 0.35/0.88 (step @p244 :rule bool-impl-elim :args (@t2 @t220)) % 0.35/0.88 (step @p245 :rule cong :premises (@p244) :args ((forall @t3 (=> @t2 @t220)))) % 0.35/0.88 (step @p246 :rule eq-symm :args (@t57 @t12)) % 0.35/0.88 (step @p247 :rule cong :premises (@p197 @p246) :args (@t58)) % 0.35/0.88 (step @p248 :rule cong :premises (@p247) :args (@t59)) % 0.35/0.88 (step @p249 :rule trans :premises (@p248 @p245)) % 0.35/0.88 (step @p250 :rule eq_resolve :premises (@p41 @p249)) % 0.35/0.88 (step @p251 :rule instantiate :premises (@p250) :args ((@list tptp.xQ))) % 0.35/0.88 (step @p252 :rule and_elim :premises (@p85) :args (4)) % 0.35/0.88 (step @p253 :rule cnf_or_pos :args (@t223)) % 0.35/0.88 (step @p254 :rule reordering :premises (@p253) :args ((or @t179 @t222 (not @t223)))) % 0.35/0.88 (step @p255 :rule chain_m_resolution :premises (@p254 @p252 @p251) :args (@t222 @t217 (@list @t139 @t223))) % 0.35/0.88 (step @p256 :rule and_elim :premises (@p79) :args (0)) % 0.35/0.88 (step @p257 :rule true_intro :premises (@p256)) % 0.35/0.88 (step @p258 :rule refl :args (tptp.szNzAzT0)) % 0.35/0.88 (step @p259 :rule cong :premises (@p174 @p258) :args (@t221)) % 0.35/0.88 (step @p260 :rule trans :premises (@p259 @p257)) % 0.35/0.88 (step @p261 :rule true_elim :premises (@p260)) % 0.35/0.88 (step @p262 :rule cnf_equiv_pos2 :args (@t222)) % 0.35/0.88 (step @p263 :rule reordering :premises (@p262) :args ((or @t177 (not @t221) (not @t222)))) % 0.35/0.88 (step @p264 :rule chain_m_resolution :premises (@p263 @p261 @p255) :args (@t177 @t217 (@list @t221 @t222))) % 0.35/0.88 (step @p265 :rule cnf_or_pos :args (@t184)) % 0.35/0.88 (step @p266 :rule reordering :premises (@p265) :args ((or @t179 @t178 @t176 @t174 @t183 (not @t184)))) % 0.35/0.88 (step @p267 :rule chain_m_resolution :premises (@p266 @p252 @p264 @p243 @p180 @p152) :args (@t174 (@list false false false true false) (@list @t139 @t177 @t175 @t183 @t184))) % 0.35/0.88 (step @p268 :rule and_elim :premises (@p85) :args (3)) % 0.35/0.88 (step @p269 :rule bool-eq-false :args (@t224)) % 0.35/0.88 (step @p270 :rule absorb :args ((= (and @t175 @t145 false) false))) % 0.35/0.88 (step @p271 :rule evaluate :args ((not true))) % 0.35/0.88 (step @p272 :rule eq-refl :args (@t133)) % 0.35/0.88 (step @p273 :rule cong :premises (@p272) :args (@t225)) % 0.35/0.88 (step @p274 :rule trans :premises (@p273 @p271)) % 0.35/0.88 (step @p275 :rule refl :args (@t175)) % 0.35/0.88 (step @p276 :rule nary_cong :premises (@p275 @p164 @p274) :args (@t226)) % 0.35/0.88 (step @p277 :rule trans :premises (@p276 @p270)) % 0.35/0.88 (step @p278 :rule refl :args (@t224)) % 0.35/0.88 (step @p279 :rule cong :premises (@p278 @p277) :args (@t227)) % 0.35/0.88 (step @p280 :rule trans :premises (@p279 @p269)) % 0.35/0.88 (step @p281 :rule refl :args (@t142)) % 0.35/0.88 (step @p282 :rule cong :premises (@p281 @p280) :args ((=> @t142 @t227))) % 0.35/0.88 (assume-push @p301 @t142) % 0.35/0.88 (step @p284 :rule instantiate :premises (@p268) :args (@t228)) % 0.35/0.88 (step-pop @p302 :rule scope :premises (@p284)) % 0.35/0.88 (step @p285 :rule process_scope :premises (@p302) :args (@t227)) % 0.35/0.88 (step @p287 :rule eq_resolve :premises (@p285 @p282)) % 0.35/0.88 (step @p288 :rule implies_elim :premises (@p287)) % 0.35/0.88 (step @p289 :rule chain_m_resolution :premises (@p288 @p268) :args ((not @t224) @t185 (@list @t142))) % 0.35/0.88 (step @p290 :rule cnf_or_pos :args (@t230)) % 0.35/0.88 (step @p291 :rule reordering :premises (@p290) :args ((or @t224 @t229 @t231))) % 0.35/0.88 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p267) :args (@t231 @t232 (@list @t224 @t174))) % 0.35/0.88 (assume-push @p303 @t233) % 0.35/0.88 (step @p294 :rule instantiate :premises (@p91) :args (@t228)) % 0.35/0.88 (step-pop @p304 :rule scope :premises (@p294)) % 0.35/0.88 (step @p295 :rule process_scope :premises (@p304) :args (@t230)) % 0.35/0.88 (step @p297 :rule implies_elim :premises (@p295)) % 0.35/0.88 (step @p298 false :rule chain_m_resolution :premises (@p297 @p292 @p91) :args (false @t232 (@list @t230 @t233))) % 0.35/0.88 ) % 0.35/0.88 % SZS output end Proof % 0.35/0.88 % cvc5 exiting %------------------------------------------------------------------------------