%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM609+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:40:00 AM UTC 2026 % Result : Theorem 34.16s 34.30s % Output : Proof 34.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM609+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n011.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 11:35:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.16/34.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.16/34.30 --- Run --no-e-matching --full-saturate-quant at 6... % 34.16/34.30 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.16/34.30 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.16/34.30 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.16/34.30 % SZS status Theorem % 34.16/34.30 % SZS output start Proof % 34.16/34.30 ( % 34.16/34.30 (declare-sort $$unsorted 0) % 34.16/34.30 (declare-const tptp.xp $$unsorted) % 34.16/34.30 (declare-const tptp.xQ $$unsorted) % 34.16/34.30 (declare-const tptp.xe $$unsorted) % 34.16/34.30 (declare-const tptp.xP $$unsorted) % 34.16/34.30 (declare-const tptp.xC $$unsorted) % 34.16/34.30 (declare-const tptp.xN $$unsorted) % 34.16/34.30 (declare-const tptp.sz00 $$unsorted) % 34.16/34.30 (declare-const tptp.xc $$unsorted) % 34.16/34.30 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 34.16/34.30 (declare-const tptp.szNzAzT0 $$unsorted) % 34.16/34.30 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 34.16/34.30 (declare-const tptp.xd $$unsorted) % 34.16/34.30 (declare-const tptp.xk $$unsorted) % 34.16/34.30 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 34.16/34.30 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 34.16/34.30 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 34.16/34.30 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 34.16/34.30 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 34.16/34.30 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 34.16/34.30 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 34.16/34.30 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.xK $$unsorted) % 34.16/34.30 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.xT $$unsorted) % 34.16/34.30 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.xO $$unsorted) % 34.16/34.30 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.xS $$unsorted) % 34.16/34.30 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.slcrc0 $$unsorted) % 34.16/34.30 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 34.16/34.30 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 34.16/34.30 (define @t1 () (@var "W0" $$unsorted)) % 34.16/34.30 (define @t2 () (tptp.aSet0 @t1)) % 34.16/34.30 (define @t3 () (@list @t1)) % 34.16/34.30 (define @t4 () (tptp.aElement0 @t1)) % 34.16/34.30 (define @t5 () (@var "W1" $$unsorted)) % 34.16/34.30 (define @t6 () (tptp.aElement0 @t5)) % 34.16/34.30 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 34.16/34.30 (define @t8 () (@list @t5)) % 34.16/34.30 (define @t9 () (forall @t8 (=> @t7 @t6))) % 34.16/34.30 (define @t10 () (=> @t2 @t9)) % 34.16/34.30 (define @t11 () (forall @t3 @t10)) % 34.16/34.30 (define @t12 () (tptp.isFinite0 @t1)) % 34.16/34.30 (define @t13 () (= @t1 tptp.slcrc0)) % 34.16/34.30 (define @t14 () (tptp.isCountable0 @t1)) % 34.16/34.30 (define @t15 () (not @t12)) % 34.16/34.30 (define @t16 () (and @t2 @t14)) % 34.16/34.30 (define @t17 () (not @t13)) % 34.16/34.30 (define @t18 () (@var "W2" $$unsorted)) % 34.16/34.30 (define @t19 () (tptp.aElementOf0 @t18 @t1)) % 34.16/34.30 (define @t20 () (tptp.aElementOf0 @t18 @t5)) % 34.16/34.30 (define @t21 () (@list @t18)) % 34.16/34.30 (define @t22 () (forall @t21 (=> @t20 @t19))) % 34.16/34.30 (define @t23 () (tptp.aSet0 @t5)) % 34.16/34.30 (define @t24 () (and @t23 @t22)) % 34.16/34.30 (define @t25 () (tptp.aSubsetOf0 @t5 @t1)) % 34.16/34.30 (define @t26 () (= @t25 @t24)) % 34.16/34.30 (define @t27 () (forall @t8 @t26)) % 34.16/34.30 (define @t28 () (=> @t2 @t27)) % 34.16/34.30 (define @t29 () (forall @t3 @t28)) % 34.16/34.30 (define @t30 () (tptp.isFinite0 @t5)) % 34.16/34.30 (define @t31 () (and @t2 @t12)) % 34.16/34.30 (define @t32 () (= @t1 @t5)) % 34.16/34.30 (define @t33 () (tptp.aSubsetOf0 @t1 @t5)) % 34.16/34.30 (define @t34 () (@list @t1 @t5)) % 34.16/34.30 (define @t35 () (tptp.aSubsetOf0 @t5 @t18)) % 34.16/34.30 (define @t36 () (tptp.aSet0 @t18)) % 34.16/34.30 (define @t37 () (@list @t1 @t5 @t18)) % 34.16/34.30 (define @t38 () (@var "W3" $$unsorted)) % 34.16/34.30 (define @t39 () (= @t38 @t5)) % 34.16/34.30 (define @t40 () (tptp.aElementOf0 @t38 @t1)) % 34.16/34.30 (define @t41 () (tptp.aElement0 @t38)) % 34.16/34.30 (define @t42 () (tptp.aElementOf0 @t38 @t18)) % 34.16/34.30 (define @t43 () (@list @t38)) % 34.16/34.30 (define @t44 () (tptp.sdtpldt0 @t1 @t5)) % 34.16/34.30 (define @t45 () (and @t2 @t6)) % 34.16/34.30 (define @t46 () (not @t39)) % 34.16/34.30 (define @t47 () (and @t41 @t40 @t46)) % 34.16/34.30 (define @t48 () (= @t42 @t47)) % 34.16/34.30 (define @t49 () (forall @t43 @t48)) % 34.16/34.30 (define @t50 () (and @t36 @t49)) % 34.16/34.30 (define @t51 () (tptp.sdtmndt0 @t1 @t5)) % 34.16/34.30 (define @t52 () (= @t18 @t51)) % 34.16/34.30 (define @t53 () (= @t52 @t50)) % 34.16/34.30 (define @t54 () (forall @t21 @t53)) % 34.16/34.30 (define @t55 () (=> @t45 @t54)) % 34.16/34.30 (define @t56 () (forall @t34 @t55)) % 34.16/34.30 (define @t57 () (tptp.sdtpldt0 @t5 @t1)) % 34.16/34.30 (define @t58 () (tptp.isCountable0 @t5)) % 34.16/34.30 (define @t59 () (and @t23 @t58)) % 34.16/34.30 (define @t60 () (tptp.sdtmndt0 @t5 @t1)) % 34.16/34.30 (define @t61 () (and @t23 @t30)) % 34.16/34.30 (define @t62 () (tptp.aSet0 tptp.szNzAzT0)) % 34.16/34.30 (define @t63 () (tptp.szszuzczcdt0 @t1)) % 34.16/34.30 (define @t64 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 34.16/34.30 (define @t65 () (tptp.szszuzczcdt0 @t5)) % 34.16/34.30 (define @t66 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 34.16/34.30 (define @t67 () (and @t64 @t66)) % 34.16/34.30 (define @t68 () (= @t1 tptp.sz00)) % 34.16/34.30 (define @t69 () (tptp.sdtlseqdt0 @t1 @t5)) % 34.16/34.30 (define @t70 () (tptp.sdtlseqdt0 @t5 @t1)) % 34.16/34.30 (define @t71 () (tptp.sdtlseqdt0 @t5 @t18)) % 34.16/34.30 (define @t72 () (tptp.aElementOf0 @t18 tptp.szNzAzT0)) % 34.16/34.30 (define @t73 () (tptp.sbrdtbr0 @t1)) % 34.16/34.30 (define @t74 () (not @t7)) % 34.16/34.30 (define @t75 () (and @t2 @t66)) % 34.16/34.30 (define @t76 () (tptp.szmzizndt0 @t1)) % 34.16/34.30 (define @t77 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 34.16/34.30 (define @t78 () (tptp.szmzizndt0 @t5)) % 34.16/34.30 (define @t79 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 34.16/34.30 (define @t80 () (tptp.slbdtrb0 @t1)) % 34.16/34.30 (define @t81 () (tptp.slbdtrb0 @t5)) % 34.16/34.30 (define @t82 () (tptp.aSubsetOf0 @t38 @t1)) % 34.16/34.30 (define @t83 () (tptp.slbdtsldtrb0 @t1 @t5)) % 34.16/34.30 (define @t84 () (tptp.slbdtsldtrb0 @t5 @t1)) % 34.16/34.30 (define @t85 () (tptp.aFunction0 @t1)) % 34.16/34.30 (define @t86 () (tptp.szDzozmdt0 @t1)) % 34.16/34.30 (define @t87 () (tptp.sdtlpdtrp0 @t1 @t5)) % 34.16/34.30 (define @t88 () (tptp.aElementOf0 @t5 @t86)) % 34.16/34.30 (define @t89 () (tptp.sdtlpdtrp0 @t1 @t38)) % 34.16/34.30 (define @t90 () (tptp.aElementOf0 @t38 @t86)) % 34.16/34.30 (define @t91 () (tptp.sdtlbdtrb0 @t1 @t5)) % 34.16/34.30 (define @t92 () (and @t85 @t6)) % 34.16/34.30 (define @t93 () (@var "W4" $$unsorted)) % 34.16/34.30 (define @t94 () (@list @t93)) % 34.16/34.30 (define @t95 () (tptp.sdtlcdtrc0 @t1 @t5)) % 34.16/34.30 (define @t96 () (tptp.aSubsetOf0 @t5 @t86)) % 34.16/34.30 (define @t97 () (tptp.sdtlcdtrc0 @t1 @t86)) % 34.16/34.30 (define @t98 () (tptp.szDzozmdt0 @t18)) % 34.16/34.30 (define @t99 () (tptp.aFunction0 @t18)) % 34.16/34.30 (define @t100 () (tptp.szDzizrdt0 @t1)) % 34.16/34.30 (define @t101 () (tptp.szDzozmdt0 tptp.xc)) % 34.16/34.30 (define @t102 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 34.16/34.30 (define @t103 () (@var "W5" $$unsorted)) % 34.16/34.30 (define @t104 () (tptp.sdtlpdtrp0 tptp.xN @t63)) % 34.16/34.30 (define @t105 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 34.16/34.30 (define @t106 () (tptp.szmzizndt0 @t105)) % 34.16/34.30 (define @t107 () (tptp.sdtmndt0 @t105 @t106)) % 34.16/34.30 (define @t108 () (and (tptp.aSubsetOf0 @t105 tptp.szNzAzT0) (tptp.isCountable0 @t105))) % 34.16/34.30 (define @t109 () (tptp.szDzozmdt0 tptp.xN)) % 34.16/34.30 (define @t110 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 34.16/34.30 (define @t111 () (tptp.sdtpldt0 @t5 @t106)) % 34.16/34.30 (define @t112 () (tptp.slbdtsldtrb0 @t107 tptp.xk)) % 34.16/34.30 (define @t113 () (and @t23 (tptp.aElementOf0 @t5 @t112))) % 34.16/34.30 (define @t114 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 34.16/34.30 (define @t115 () (tptp.sdtlpdtrp0 @t114 @t5)) % 34.16/34.30 (define @t116 () (tptp.szDzozmdt0 @t114)) % 34.16/34.30 (define @t117 () (tptp.aElementOf0 @t5 tptp.xT)) % 34.16/34.30 (define @t118 () (tptp.slbdtsldtrb0 @t104 tptp.xk)) % 34.16/34.30 (define @t119 () (tptp.szDzozmdt0 tptp.xd)) % 34.16/34.30 (define @t120 () (tptp.szDzizrdt0 tptp.xd)) % 34.16/34.30 (define @t121 () (tptp.sdtlbdtrb0 tptp.xd @t120)) % 34.16/34.30 (define @t122 () (tptp.sdtlcdtrc0 tptp.xe @t121)) % 34.16/34.30 (define @t123 () (tptp.aSet0 tptp.xO)) % 34.16/34.30 (define @t124 () (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) % 34.16/34.30 (define @t125 () (tptp.szmzizndt0 tptp.xQ)) % 34.16/34.30 (define @t126 () (tptp.sdtmndt0 tptp.xQ @t125)) % 34.16/34.30 (define @t127 () (tptp.aSet0 tptp.xP)) % 34.16/34.30 (define @t128 () (tptp.aElementOf0 tptp.xp tptp.xO)) % 34.16/34.30 (define @t129 () (tptp.aSubsetOf0 tptp.xP tptp.xQ)) % 34.16/34.30 (define @t130 () (not @t129)) % 34.16/34.30 (define @t131 () (@var "BOUND_VARIABLE_8231" $$unsorted)) % 34.16/34.30 (define @t132 () (= (tptp.aSubsetOf0 @t131 @t1) (and (tptp.aSet0 @t131) (forall @t21 (or (not (tptp.aElementOf0 @t18 @t131)) @t19))))) % 34.16/34.30 (define @t133 () (not @t2)) % 34.16/34.30 (define @t134 () (or @t133 @t132)) % 34.16/34.30 (define @t135 () (@list @t131)) % 34.16/34.30 (define @t136 () (forall @t135 @t134)) % 34.16/34.30 (define @t137 () (forall @t135 @t132)) % 34.16/34.30 (define @t138 () (@list @t5)) % 34.16/34.30 (define @t139 () (or @t133 @t137)) % 34.16/34.30 (define @t140 () (forall @t8 (= @t25 (and @t23 (forall @t21 (or (not @t20) @t19)))))) % 34.16/34.30 (define @t141 () (tptp.aElementOf0 @t18 tptp.xQ)) % 34.16/34.30 (define @t142 () (tptp.aSet0 tptp.xQ)) % 34.16/34.30 (define @t143 () (and @t142 (forall @t21 (or (not @t141) (tptp.aElementOf0 @t18 @t109))))) % 34.16/34.30 (define @t144 () (tptp.aSubsetOf0 tptp.xQ @t109)) % 34.16/34.30 (define @t145 () (= @t144 @t143)) % 34.16/34.30 (define @t146 () (tptp.aSet0 @t109)) % 34.16/34.30 (define @t147 () (not @t146)) % 34.16/34.30 (define @t148 () (or @t147 @t145)) % 34.16/34.30 (define @t149 () (@list false false)) % 34.16/34.30 (define @t150 () (@list false)) % 34.16/34.30 (define @t151 () (forall @t21 (or (not (tptp.aElementOf0 @t18 @t126)) @t141))) % 34.16/34.30 (define @t152 () (tptp.aSet0 @t126)) % 34.16/34.30 (define @t153 () (and @t152 @t151)) % 34.16/34.30 (define @t154 () (tptp.aSubsetOf0 @t126 tptp.xQ)) % 34.16/34.30 (define @t155 () (= @t154 @t153)) % 34.16/34.30 (define @t156 () (not @t142)) % 34.16/34.30 (define @t157 () (or @t156 @t155)) % 34.16/34.30 (define @t158 () (not @t153)) % 34.16/34.30 (define @t159 () (not @t151)) % 34.16/34.30 (define @t160 () (@quantifiers_skolemize @t151 0)) % 34.16/34.30 (define @t161 () (tptp.aElementOf0 @t160 @t126)) % 34.16/34.30 (define @t162 () (tptp.aElementOf0 @t160 tptp.xQ)) % 34.16/34.30 (define @t163 () (not @t161)) % 34.16/34.30 (define @t164 () (or @t163 @t162)) % 34.16/34.30 (define @t165 () (@list true)) % 34.16/34.30 (define @t166 () (@list @t164)) % 34.16/34.30 (define @t167 () (tptp.aElement0 @t160)) % 34.16/34.30 (define @t168 () (and @t167 @t162 (not (= @t125 @t160)))) % 34.16/34.30 (define @t169 () (not @t168)) % 34.16/34.30 (define @t170 () (@var "BOUND_VARIABLE_8335" $$unsorted)) % 34.16/34.30 (define @t171 () (tptp.aElementOf0 @t38 @t170)) % 34.16/34.30 (define @t172 () (and @t41 @t40 (not (= @t5 @t38)))) % 34.16/34.30 (define @t173 () (forall @t43 (= @t171 @t172))) % 34.16/34.30 (define @t174 () (tptp.aSet0 @t170)) % 34.16/34.30 (define @t175 () (and @t174 @t173)) % 34.16/34.30 (define @t176 () (= (= @t170 @t51) @t175)) % 34.16/34.30 (define @t177 () (not @t6)) % 34.16/34.30 (define @t178 () (or @t133 @t177 @t176)) % 34.16/34.30 (define @t179 () (@list @t1 @t5 @t170)) % 34.16/34.30 (define @t180 () (forall @t179 @t178)) % 34.16/34.30 (define @t181 () (@list @t170)) % 34.16/34.30 (define @t182 () (forall @t181 @t178)) % 34.16/34.30 (define @t183 () (forall @t181 @t176)) % 34.16/34.30 (define @t184 () (or @t133 @t177 @t183)) % 34.16/34.30 (define @t185 () (forall @t21 (= @t52 (and @t36 (forall @t43 (= @t42 @t172)))))) % 34.16/34.30 (define @t186 () (or @t133 @t177 @t185)) % 34.16/34.30 (define @t187 () (tptp.aElementOf0 @t38 tptp.xQ)) % 34.16/34.30 (define @t188 () (tptp.aElementOf0 @t38 @t126)) % 34.16/34.30 (define @t189 () (forall @t43 (= @t188 (and @t41 @t187 (not (= @t38 @t125)))))) % 34.16/34.30 (define @t190 () (and @t152 @t189)) % 34.16/34.30 (define @t191 () (not (= @t125 @t38))) % 34.16/34.30 (define @t192 () (and @t41 @t187 @t191)) % 34.16/34.30 (define @t193 () (forall @t43 (= @t192 @t188))) % 34.16/34.30 (define @t194 () (and @t152 @t193)) % 34.16/34.30 (define @t195 () (= (= @t126 @t126) @t194)) % 34.16/34.30 (define @t196 () (tptp.aElement0 @t125)) % 34.16/34.30 (define @t197 () (not @t196)) % 34.16/34.30 (define @t198 () (or @t156 @t197 @t195)) % 34.16/34.30 (define @t199 () (forall @t179 (or @t133 @t177 (= (= @t51 @t170) (and @t174 (forall @t43 (= @t172 @t171))))))) % 34.16/34.30 (define @t200 () (or @t156 @t197 @t190)) % 34.16/34.30 (define @t201 () (@var "BOUND_VARIABLE_8182" $$unsorted)) % 34.16/34.30 (define @t202 () (tptp.aElement0 @t201)) % 34.16/34.30 (define @t203 () (not (tptp.aElementOf0 @t201 @t1))) % 34.16/34.30 (define @t204 () (or @t203 @t202)) % 34.16/34.30 (define @t205 () (or @t133 @t204)) % 34.16/34.30 (define @t206 () (forall (@list @t1 @t201) @t205)) % 34.16/34.30 (define @t207 () (@list @t201)) % 34.16/34.30 (define @t208 () (forall @t207 @t205)) % 34.16/34.30 (define @t209 () (forall @t207 @t204)) % 34.16/34.30 (define @t210 () (or @t133 @t209)) % 34.16/34.30 (define @t211 () (forall @t8 (or @t74 @t6))) % 34.16/34.30 (define @t212 () (tptp.aElementOf0 @t125 @t122)) % 34.16/34.30 (define @t213 () (not @t212)) % 34.16/34.30 (define @t214 () (tptp.aSet0 @t122)) % 34.16/34.30 (define @t215 () (not @t214)) % 34.16/34.30 (define @t216 () (or @t215 @t213 @t196)) % 34.16/34.30 (define @t217 () (@list false false false)) % 34.16/34.30 (define @t218 () (not (= @t160 @t125))) % 34.16/34.30 (define @t219 () (and @t167 @t162 @t218)) % 34.16/34.30 (define @t220 () (= @t161 @t219)) % 34.16/34.30 (define @t221 () (= @t161 @t168)) % 34.16/34.30 (assume @p1 (forall @t3 (=> @t2 true))) % 34.16/34.30 (assume @p2 (forall @t3 (=> @t4 true))) % 34.16/34.30 (assume @p3 @t11) % 34.16/34.30 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 34.16/34.30 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 34.16/34.30 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 34.16/34.30 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 34.16/34.30 (assume @p8 (forall @t3 (=> @t16 @t15))) % 34.16/34.30 (assume @p9 (forall @t3 (=> @t16 @t17))) % 34.16/34.30 (assume @p10 @t29) % 34.16/34.30 (assume @p11 (forall @t3 (=> @t31 (forall @t8 (=> @t25 @t30))))) % 34.16/34.30 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 34.16/34.30 (assume @p13 (forall @t34 (=> (and @t2 @t23) (=> (and @t33 @t25) @t32)))) % 34.16/34.30 (assume @p14 (forall @t37 (=> (and @t2 @t23 @t36) (=> (and @t33 @t35) (tptp.aSubsetOf0 @t1 @t18))))) % 34.16/34.30 (assume @p15 (forall @t34 (=> @t45 (forall @t21 (= (= @t18 @t44) (and @t36 (forall @t43 (= @t42 (and @t41 (or @t40 @t39)))))))))) % 34.16/34.30 (assume @p16 @t56) % 34.16/34.30 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t51 @t5) @t1)))))) % 34.16/34.30 (assume @p18 (forall @t34 (=> (and @t4 @t23) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t57 @t1) @t5))))) % 34.16/34.30 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t59 (tptp.isCountable0 @t57)))))) % 34.16/34.30 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t59 (tptp.isCountable0 @t60)))))) % 34.16/34.30 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t61 (tptp.isFinite0 @t57)))))) % 34.16/34.30 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t61 (tptp.isFinite0 @t60)))))) % 34.16/34.30 (assume @p23 (and @t62 (tptp.isCountable0 tptp.szNzAzT0))) % 34.16/34.30 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 34.16/34.30 (assume @p25 (forall @t3 (=> @t64 (and (tptp.aElementOf0 @t63 tptp.szNzAzT0) (not (= @t63 tptp.sz00)))))) % 34.16/34.30 (assume @p26 (forall @t34 (=> @t67 (=> (= @t63 @t65) @t32)))) % 34.16/34.30 (assume @p27 (forall @t3 (=> @t64 (or @t68 (exists @t8 (and @t66 (= @t1 @t65))))))) % 34.16/34.30 (assume @p28 (forall @t3 (=> @t64 (not (= @t1 @t63))))) % 34.16/34.30 (assume @p29 (forall @t34 (=> @t67 (=> @t69 true)))) % 34.16/34.30 (assume @p30 (forall @t3 (=> @t64 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 34.16/34.30 (assume @p31 (forall @t3 (=> @t64 (not (tptp.sdtlseqdt0 @t63 tptp.sz00))))) % 34.16/34.30 (assume @p32 (forall @t34 (=> @t67 (= @t69 (tptp.sdtlseqdt0 @t63 @t65))))) % 34.16/34.30 (assume @p33 (forall @t3 (=> @t64 (tptp.sdtlseqdt0 @t1 @t63)))) % 34.16/34.30 (assume @p34 (forall @t3 (=> @t64 (tptp.sdtlseqdt0 @t1 @t1)))) % 34.16/34.30 (assume @p35 (forall @t34 (=> @t67 (=> (and @t69 @t70) @t32)))) % 34.16/34.30 (assume @p36 (forall @t37 (=> (and @t64 @t66 @t72) (=> (and @t69 @t71) (tptp.sdtlseqdt0 @t1 @t18))))) % 34.16/34.30 (assume @p37 (forall @t34 (=> @t67 (or @t69 (tptp.sdtlseqdt0 @t65 @t1))))) % 34.16/34.30 (assume @p38 (forall @t34 (=> @t67 (=> (tptp.iLess0 @t1 @t5) true)))) % 34.16/34.30 (assume @p39 (forall @t3 (=> @t64 (tptp.iLess0 @t1 @t63)))) % 34.16/34.30 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t73)))) % 34.16/34.30 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t73 tptp.szNzAzT0) @t12)))) % 34.16/34.30 (assume @p42 (forall @t3 (=> @t2 (= (= @t73 tptp.sz00) @t13)))) % 34.16/34.30 (assume @p43 (forall @t3 (=> @t31 (forall @t8 (=> @t6 (=> @t74 (= (tptp.sbrdtbr0 @t44) (tptp.szszuzczcdt0 @t73)))))))) % 34.16/34.30 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t51)) @t73)))))) % 34.16/34.30 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t25) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t73)))))) % 34.16/34.30 (assume @p46 (forall @t34 (=> @t75 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t73)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5))))))) % 34.16/34.30 (assume @p47 (forall @t3 (=> (and @t77 @t17) (forall @t8 (= (= @t5 @t76) (and @t7 (forall @t21 (=> @t19 @t71)))))))) % 34.16/34.30 (assume @p48 (forall @t3 (=> (and @t77 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5))))))))) % 34.16/34.30 (assume @p49 (forall @t34 (=> (and @t77 @t79 @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t76 @t5) (tptp.aElementOf0 @t78 @t1)) (= @t76 @t78))))) % 34.16/34.30 (assume @p50 (forall @t3 (=> @t64 (forall @t8 (= (= @t5 @t80) (and @t23 (forall @t21 (= @t20 (and @t72 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1)))))))))) % 34.16/34.30 (assume @p51 (forall @t3 (=> @t64 (tptp.isFinite0 @t80)))) % 34.16/34.30 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 34.16/34.30 (assume @p53 (forall @t34 (=> @t67 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t65)) (or (tptp.aElementOf0 @t1 @t81) @t32))))) % 34.16/34.30 (assume @p54 (forall @t34 (=> @t67 (= @t69 (tptp.aSubsetOf0 @t80 @t81))))) % 34.16/34.30 (assume @p55 (forall @t3 (=> (and @t77 @t12) (exists @t8 (and @t66 (tptp.aSubsetOf0 @t1 @t81)))))) % 34.16/34.30 (assume @p56 (forall @t3 (=> @t64 (= (tptp.sbrdtbr0 @t80) @t1)))) % 34.16/34.30 (assume @p57 (forall @t34 (=> @t75 (forall @t21 (= (= @t18 @t83) (and @t36 (forall @t43 (= @t42 (and @t82 (= (tptp.sbrdtbr0 @t38) @t5)))))))))) % 34.16/34.30 (assume @p58 (forall @t3 (=> @t31 (forall @t8 (=> @t66 (tptp.isFinite0 @t83)))))) % 34.16/34.30 (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t66 (not (= @t83 tptp.slcrc0))))))) % 34.16/34.30 (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t66 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t83)))))) % 34.16/34.30 (assume @p61 (forall @t3 (=> @t64 (forall (@list @t5 @t18) (=> (and @t23 @t36 (not @t68)) (=> (and (tptp.aSubsetOf0 @t84 (tptp.slbdtsldtrb0 @t18 @t1)) (not (= @t84 tptp.slcrc0))) @t35)))))) % 34.16/34.30 (assume @p62 (forall @t34 (=> @t75 (forall @t21 (=> (and (tptp.aSubsetOf0 @t18 @t83) (tptp.isFinite0 @t18)) (exists @t43 (and @t82 (tptp.isFinite0 @t38) (tptp.aSubsetOf0 @t18 (tptp.slbdtsldtrb0 @t38 @t5))))))))) % 34.16/34.30 (assume @p63 (forall @t3 (=> @t85 true))) % 34.16/34.30 (assume @p64 (forall @t3 (=> @t85 (tptp.aSet0 @t86)))) % 34.16/34.30 (assume @p65 (forall @t3 (=> @t85 (forall @t8 (=> @t88 (tptp.aElement0 @t87)))))) % 34.16/34.30 (assume @p66 (forall @t34 (=> @t92 (forall @t21 (= (= @t18 @t91) (and @t36 (forall @t43 (= @t42 (and @t90 (= @t89 @t5)))))))))) % 34.16/34.30 (assume @p67 (forall @t34 (=> @t92 (tptp.aSubsetOf0 @t91 @t86)))) % 34.16/34.30 (assume @p68 (forall @t3 (=> @t85 (forall @t8 (=> @t96 (forall @t21 (= (= @t18 @t95) (and @t36 (forall @t43 (= @t42 (exists @t94 (and (tptp.aElementOf0 @t93 @t5) (= (tptp.sdtlpdtrp0 @t1 @t93) @t38))))))))))))) % 34.16/34.30 (assume @p69 (forall @t3 (=> @t85 (forall @t8 (=> @t88 (tptp.aElementOf0 @t87 @t97)))))) % 34.16/34.30 (assume @p70 (forall @t3 (=> @t85 (forall @t8 (=> @t96 (forall @t21 (= (= @t18 (tptp.sdtexdt0 @t1 @t5)) (and @t99 (= @t98 @t5) (forall @t43 (=> (tptp.aElementOf0 @t38 @t5) (= (tptp.sdtlpdtrp0 @t18 @t38) @t89))))))))))) % 34.16/34.30 (assume @p71 (forall @t3 (=> @t85 (forall @t8 (=> (and @t96 @t58) (=> (forall (@list @t18 @t38) (=> (and (tptp.aElementOf0 @t18 @t86) @t90 (not (= @t18 @t38))) (not (= (tptp.sdtlpdtrp0 @t1 @t18) @t89)))) (tptp.isCountable0 @t95))))))) % 34.16/34.30 (assume @p72 (forall @t3 (=> @t85 (=> (and (tptp.isCountable0 @t86) (tptp.isFinite0 @t97)) (and (tptp.aElement0 @t100) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t100))))))) % 34.16/34.30 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 34.16/34.30 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 34.16/34.30 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 34.16/34.30 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t101 @t102) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t101) tptp.xT))) % 34.16/34.30 (assume @p77 (forall @t3 (=> @t64 (forall @t8 (=> (and @t79 @t58) (forall @t21 (=> (and @t99 (= @t98 @t84) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t18 @t98) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t43 (and (tptp.aElementOf0 @t38 tptp.xT) (exists @t94 (and (tptp.aSubsetOf0 @t93 @t5) (tptp.isCountable0 @t93) (forall (@list @t103) (=> (tptp.aElementOf0 @t103 (tptp.slbdtsldtrb0 @t93 @t1)) (= (tptp.sdtlpdtrp0 @t18 @t103) @t38))))))))))))))) % 34.16/34.30 (assume @p78 (not (= tptp.xK tptp.sz00))) % 34.16/34.30 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 34.16/34.30 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t109 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t64 (=> @t108 (and (tptp.aSubsetOf0 @t104 @t107) (tptp.isCountable0 @t104))))))) % 34.16/34.30 (assume @p81 (forall @t3 (=> @t64 @t108))) % 34.16/34.30 (assume @p82 (forall @t34 (=> @t67 (=> @t70 (tptp.aSubsetOf0 @t105 @t110))))) % 34.16/34.30 (assume @p83 (forall @t34 (=> (and @t64 @t66 (not @t32)) (not (= @t106 (tptp.szmzizndt0 @t110)))))) % 34.16/34.30 (assume @p84 (forall @t3 (=> @t64 (forall @t8 (=> @t113 (tptp.aElementOf0 @t111 @t102)))))) % 34.16/34.30 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t64 (and (tptp.aFunction0 @t114) (= @t116 @t112) (forall @t8 (=> @t113 (= @t115 (tptp.sdtlpdtrp0 tptp.xc @t111))))))))) % 34.16/34.30 (assume @p86 (forall @t3 (=> @t64 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t114 @t116) tptp.xT)))) % 34.16/34.30 (assume @p87 (forall @t3 (=> @t64 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t107) @t58) (forall @t21 (=> (and @t36 (tptp.aElementOf0 @t18 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t18 @t112)))))))) % 34.16/34.30 (assume @p88 (forall @t3 (=> @t64 (exists @t8 (and @t117 (exists @t21 (and (tptp.aSubsetOf0 @t18 @t107) (tptp.isCountable0 @t18) (forall @t43 (=> (and (tptp.aSet0 @t38) (tptp.aElementOf0 @t38 (tptp.slbdtsldtrb0 @t18 tptp.xk))) (= (tptp.sdtlpdtrp0 @t114 @t38) @t5)))))))))) % 34.16/34.30 (assume @p89 (forall @t3 (=> @t64 (exists @t8 (and @t117 (forall @t21 (=> (and @t36 (tptp.aElementOf0 @t18 @t118)) (= (tptp.sdtlpdtrp0 @t114 @t18) @t5)))))))) % 34.16/34.30 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t64 (= (tptp.sdtlpdtrp0 tptp.xe @t1) @t106))))) % 34.16/34.30 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t119 tptp.szNzAzT0) (forall @t3 (=> @t64 (forall @t8 (=> (and @t23 (tptp.aElementOf0 @t5 @t118)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t115))))))) % 34.16/34.30 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t119) tptp.xT)) % 34.16/34.30 (assume @p93 (and (tptp.aElementOf0 @t120 tptp.xT) (tptp.isCountable0 @t121))) % 34.16/34.30 (assume @p94 (and @t123 (= tptp.xO @t122))) % 34.16/34.30 (assume @p95 (and @t123 (tptp.isCountable0 tptp.xO))) % 34.16/34.30 (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t66 (tptp.aElementOf0 @t5 @t121) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)))))) % 34.16/34.30 (assume @p97 (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 34.16/34.30 (assume @p98 (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK))) % 34.16/34.30 (assume @p99 (and (tptp.aSubsetOf0 tptp.xQ tptp.xO) (not (= tptp.xQ tptp.slcrc0)))) % 34.16/34.30 (assume @p100 @t124) % 34.16/34.30 (assume @p101 (tptp.aElementOf0 tptp.xQ @t101)) % 34.16/34.30 (assume @p102 (= tptp.xp @t125)) % 34.16/34.30 (assume @p103 (and @t127 (= tptp.xP @t126))) % 34.16/34.30 (assume @p104 (tptp.aElementOf0 tptp.xp tptp.xQ)) % 34.16/34.30 (assume @p105 @t128) % 34.16/34.30 (assume @p106 @t130) % 34.16/34.30 (assume @p107 true) % 34.16/34.30 (step @p108 :rule quant-merge-prenex :args ((= (forall @t3 @t136) (forall (@list @t1 @t131) @t134)))) % 34.16/34.30 (step @p109 :rule alpha_equiv :args (@t137 (@list @t131) @t138)) % 34.16/34.30 (step @p110 :rule refl :args (@t133)) % 34.16/34.30 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t139)) % 34.16/34.30 (step @p112 :rule quant-miniscope-or :args ((= @t136 @t139))) % 34.16/34.30 (step @p113 :rule trans :premises (@p112 @p111)) % 34.16/34.30 (step @p114 :rule symm :premises (@p113)) % 34.16/34.30 (step @p115 :rule cong :premises (@p114) :args ((forall @t3 (or @t133 @t140)))) % 34.16/34.30 (step @p116 :rule trans :premises (@p115 @p108)) % 34.16/34.30 (step @p117 :rule bool-impl-elim :args (@t2 @t140)) % 34.16/34.30 (step @p118 :rule cong :premises (@p117) :args ((forall @t3 (=> @t2 @t140)))) % 34.16/34.30 (step @p119 :rule trans :premises (@p118 @p116)) % 34.16/34.30 (step @p120 :rule bool-impl-elim :args (@t20 @t19)) % 34.16/34.30 (step @p121 :rule cong :premises (@p120) :args (@t22)) % 34.16/34.30 (step @p122 :rule refl :args (@t23)) % 34.16/34.30 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t24)) % 34.16/34.30 (step @p124 :rule refl :args (@t25)) % 34.16/34.30 (step @p125 :rule cong :premises (@p124 @p123) :args (@t26)) % 34.16/34.30 (step @p126 :rule cong :premises (@p125) :args (@t27)) % 34.16/34.30 (step @p127 :rule refl :args (@t2)) % 34.16/34.30 (step @p128 :rule cong :premises (@p127 @p126) :args (@t28)) % 34.16/34.30 (step @p129 :rule cong :premises (@p128) :args (@t29)) % 34.16/34.30 (step @p130 :rule trans :premises (@p129 @p119)) % 34.16/34.30 (step @p131 :rule eq_resolve :premises (@p10 @p130)) % 34.16/34.30 (step @p132 :rule instantiate :premises (@p131) :args ((@list tptp.xQ @t126))) % 34.16/34.30 (step @p133 :rule instantiate :premises (@p131) :args ((@list @t109 tptp.xQ))) % 34.16/34.30 (step @p134 :rule and_elim :premises (@p80) :args (1)) % 34.16/34.30 (step @p135 :rule symm :premises (@p134)) % 34.16/34.30 (step @p136 :rule cong :premises (@p135) :args (@t62)) % 34.16/34.30 (step @p137 :rule and_elim :premises (@p23) :args (0)) % 34.16/34.30 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 34.16/34.30 (step @p139 :rule cnf_or_pos :args (@t148)) % 34.16/34.30 (step @p140 :rule reordering :premises (@p139) :args ((or @t147 @t145 (not @t148)))) % 34.16/34.30 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p133) :args (@t145 @t149 (@list @t146 @t148))) % 34.16/34.30 (step @p142 :rule refl :args (tptp.xQ)) % 34.16/34.30 (step @p143 :rule cong :premises (@p142 @p135) :args (@t124)) % 34.16/34.30 (step @p144 :rule eq_resolve :premises (@p100 @p143)) % 34.16/34.30 (step @p145 :rule cnf_equiv_pos1 :args (@t145)) % 34.16/34.30 (step @p146 :rule reordering :premises (@p145) :args ((or (not @t144) @t143 (not @t145)))) % 34.16/34.30 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p141) :args (@t143 @t149 (@list @t144 @t145))) % 34.16/34.30 (step @p148 :rule cnf_and_pos :args (@t143 0)) % 34.16/34.30 (step @p149 :rule reordering :premises (@p148) :args ((or @t142 (not @t143)))) % 34.16/34.30 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t142 @t150 (@list @t143))) % 34.16/34.30 (step @p151 :rule cnf_or_pos :args (@t157)) % 34.16/34.30 (step @p152 :rule reordering :premises (@p151) :args ((or @t156 @t155 (not @t157)))) % 34.16/34.30 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p132) :args (@t155 @t149 (@list @t142 @t157))) % 34.16/34.30 (step @p154 :rule and_elim :premises (@p103) :args (1)) % 34.16/34.30 (step @p155 :rule cong :premises (@p154 @p142) :args (@t129)) % 34.16/34.30 (step @p156 :rule cong :premises (@p155) :args (@t130)) % 34.16/34.30 (step @p157 :rule eq_resolve :premises (@p106 @p156)) % 34.16/34.30 (step @p158 :rule cnf_equiv_pos2 :args (@t155)) % 34.16/34.30 (step @p159 :rule reordering :premises (@p158) :args ((or @t154 @t158 (not @t155)))) % 34.16/34.30 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p153) :args (@t158 (@list true false) (@list @t154 @t155))) % 34.16/34.30 (step @p161 :rule cong :premises (@p154) :args (@t127)) % 34.16/34.30 (step @p162 :rule and_elim :premises (@p103) :args (0)) % 34.16/34.30 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 34.16/34.30 (step @p164 :rule cnf_and_neg :args (@t153)) % 34.16/34.30 (step @p165 :rule reordering :premises (@p164) :args ((or (not @t152) @t153 @t159))) % 34.16/34.30 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p160) :args (@t159 (@list false true) (@list @t152 @t153))) % 34.16/34.30 (step @p167 :rule skolemize :premises (@p166)) % 34.16/34.30 (step @p168 :rule bool-double-not-elim :args (@t161)) % 34.16/34.30 (step @p169 :rule refl :args (@t164)) % 34.16/34.30 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t164 (not @t163)))) % 34.16/34.30 (step @p171 :rule cnf_or_neg :args (@t164 0)) % 34.16/34.30 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 34.16/34.30 (step @p173 :rule reordering :premises (@p172) :args ((or @t161 @t164))) % 34.16/34.30 (step @p174 :rule chain_m_resolution :premises (@p173 @p167) :args (@t161 @t165 @t166)) % 34.16/34.30 (step @p175 :rule cnf_or_neg :args (@t164 1)) % 34.16/34.30 (step @p176 :rule chain_m_resolution :premises (@p175 @p167) :args ((not @t162) @t165 @t166)) % 34.16/34.30 (step @p177 :rule cnf_and_pos :args (@t168 1)) % 34.16/34.30 (step @p178 :rule reordering :premises (@p177) :args ((or @t162 @t169))) % 34.16/34.30 (step @p179 :rule chain_m_resolution :premises (@p178 @p176) :args (@t169 @t165 (@list @t162))) % 34.16/34.30 (step @p180 :rule eq-symm :args (@t171 @t172)) % 34.16/34.30 (step @p181 :rule cong :premises (@p180) :args (@t173)) % 34.16/34.30 (step @p182 :rule refl :args (@t174)) % 34.16/34.30 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t175)) % 34.16/34.30 (step @p184 :rule eq-symm :args (@t170 @t51)) % 34.16/34.30 (step @p185 :rule cong :premises (@p184 @p183) :args (@t176)) % 34.16/34.30 (step @p186 :rule refl :args (@t177)) % 34.16/34.30 (step @p187 :rule refl :args (@t133)) % 34.16/34.30 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185) :args (@t178)) % 34.16/34.30 (step @p189 :rule cong :premises (@p188) :args (@t180)) % 34.16/34.30 (step @p190 :rule quant-merge-prenex :args ((= (forall @t34 @t182) @t180))) % 34.16/34.30 (step @p191 :rule alpha_equiv :args (@t183 (@list @t170) (@list @t18))) % 34.16/34.30 (step @p192 :rule refl :args (@t177)) % 34.16/34.30 (step @p193 :rule nary_cong :premises (@p110 @p192 @p191) :args (@t184)) % 34.16/34.30 (step @p194 :rule quant-miniscope-or :args ((= @t182 @t184))) % 34.16/34.30 (step @p195 :rule trans :premises (@p194 @p193)) % 34.16/34.30 (step @p196 :rule symm :premises (@p195)) % 34.16/34.30 (step @p197 :rule cong :premises (@p196) :args ((forall @t34 @t186))) % 34.16/34.30 (step @p198 :rule trans :premises (@p197 @p190)) % 34.16/34.30 (step @p199 :rule trans :premises (@p198 @p189)) % 34.16/34.30 (step @p200 :rule aci_norm :args ((= (or (or @t133 @t177) @t185) @t186))) % 34.16/34.30 (step @p201 :rule refl :args (@t185)) % 34.16/34.30 (step @p202 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 34.16/34.30 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or (not @t45) @t185))) % 34.16/34.30 (step @p204 :rule trans :premises (@p203 @p200)) % 34.16/34.30 (step @p205 :rule bool-impl-elim :args (@t45 @t185)) % 34.16/34.30 (step @p206 :rule trans :premises (@p205 @p204)) % 34.16/34.30 (step @p207 :rule cong :premises (@p206) :args ((forall @t34 (=> @t45 @t185)))) % 34.16/34.30 (step @p208 :rule trans :premises (@p207 @p199)) % 34.16/34.30 (step @p209 :rule eq-symm :args (@t38 @t5)) % 34.16/34.30 (step @p210 :rule cong :premises (@p209) :args (@t46)) % 34.16/34.30 (step @p211 :rule refl :args (@t40)) % 34.16/34.30 (step @p212 :rule refl :args (@t41)) % 34.16/34.30 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210) :args (@t47)) % 34.16/34.30 (step @p214 :rule refl :args (@t42)) % 34.16/34.30 (step @p215 :rule cong :premises (@p214 @p213) :args (@t48)) % 34.16/34.30 (step @p216 :rule cong :premises (@p215) :args (@t49)) % 34.16/34.30 (step @p217 :rule refl :args (@t36)) % 34.16/34.30 (step @p218 :rule nary_cong :premises (@p217 @p216) :args (@t50)) % 34.16/34.30 (step @p219 :rule refl :args (@t52)) % 34.16/34.30 (step @p220 :rule cong :premises (@p219 @p218) :args (@t53)) % 34.16/34.30 (step @p221 :rule cong :premises (@p220) :args (@t54)) % 34.16/34.30 (step @p222 :rule refl :args (@t45)) % 34.16/34.30 (step @p223 :rule cong :premises (@p222 @p221) :args (@t55)) % 34.16/34.30 (step @p224 :rule cong :premises (@p223) :args (@t56)) % 34.16/34.30 (step @p225 :rule trans :premises (@p224 @p208)) % 34.16/34.30 (step @p226 :rule eq_resolve :premises (@p16 @p225)) % 34.16/34.30 (step @p227 :rule bool-eq-true :args (@t190)) % 34.16/34.30 (step @p228 :rule eq-symm :args (true @t190)) % 34.16/34.30 (step @p229 :rule trans :premises (@p228 @p227)) % 34.16/34.30 (step @p230 :rule eq-symm :args (@t125 @t38)) % 34.16/34.30 (step @p231 :rule cong :premises (@p230) :args (@t191)) % 34.16/34.30 (step @p232 :rule refl :args (@t187)) % 34.16/34.30 (step @p233 :rule nary_cong :premises (@p212 @p232 @p231) :args (@t192)) % 34.16/34.30 (step @p234 :rule refl :args (@t188)) % 34.16/34.30 (step @p235 :rule cong :premises (@p234 @p233) :args ((= @t188 @t192))) % 34.16/34.30 (step @p236 :rule eq-symm :args (@t192 @t188)) % 34.16/34.30 (step @p237 :rule trans :premises (@p236 @p235)) % 34.16/34.30 (step @p238 :rule cong :premises (@p237) :args (@t193)) % 34.16/34.30 (step @p239 :rule refl :args (@t152)) % 34.16/34.30 (step @p240 :rule nary_cong :premises (@p239 @p238) :args (@t194)) % 34.16/34.30 (step @p241 :rule eq-refl :args (@t126)) % 34.16/34.30 (step @p242 :rule cong :premises (@p241 @p240) :args (@t195)) % 34.16/34.30 (step @p243 :rule trans :premises (@p242 @p229)) % 34.16/34.30 (step @p244 :rule refl :args (@t197)) % 34.16/34.30 (step @p245 :rule refl :args (@t156)) % 34.16/34.30 (step @p246 :rule nary_cong :premises (@p245 @p244 @p243) :args (@t198)) % 34.16/34.30 (step @p247 :rule refl :args (@t199)) % 34.16/34.30 (step @p248 :rule cong :premises (@p247 @p246) :args ((=> @t199 @t198))) % 34.16/34.30 (assume-push @p311 @t199) % 34.16/34.30 (step @p250 :rule instantiate :premises (@p226) :args ((@list tptp.xQ @t125 @t126))) % 34.16/34.30 (step-pop @p312 :rule scope :premises (@p250)) % 34.16/34.30 (step @p251 :rule process_scope :premises (@p312) :args (@t198)) % 34.16/34.30 (step @p253 :rule eq_resolve :premises (@p251 @p248)) % 34.16/34.30 (step @p254 :rule implies_elim :premises (@p253)) % 34.16/34.30 (step @p255 :rule chain_m_resolution :premises (@p254 @p226) :args (@t200 @t150 (@list @t199))) % 34.16/34.30 (step @p256 :rule aci_norm :args ((= @t205 (or @t133 @t203 @t202)))) % 34.16/34.30 (step @p257 :rule cong :premises (@p256) :args (@t206)) % 34.16/34.30 (step @p258 :rule quant-merge-prenex :args ((= (forall @t3 @t208) @t206))) % 34.16/34.30 (step @p259 :rule alpha_equiv :args (@t209 (@list @t201) @t138)) % 34.16/34.30 (step @p260 :rule nary_cong :premises (@p110 @p259) :args (@t210)) % 34.16/34.30 (step @p261 :rule quant-miniscope-or :args ((= @t208 @t210))) % 34.16/34.30 (step @p262 :rule trans :premises (@p261 @p260)) % 34.16/34.30 (step @p263 :rule symm :premises (@p262)) % 34.16/34.30 (step @p264 :rule cong :premises (@p263) :args ((forall @t3 (or @t133 @t211)))) % 34.16/34.30 (step @p265 :rule trans :premises (@p264 @p258)) % 34.16/34.30 (step @p266 :rule trans :premises (@p265 @p257)) % 34.16/34.30 (step @p267 :rule bool-impl-elim :args (@t2 @t211)) % 34.16/34.30 (step @p268 :rule cong :premises (@p267) :args ((forall @t3 (=> @t2 @t211)))) % 34.16/34.30 (step @p269 :rule trans :premises (@p268 @p266)) % 34.16/34.30 (step @p270 :rule bool-impl-elim :args (@t7 @t6)) % 34.16/34.30 (step @p271 :rule cong :premises (@p270) :args (@t9)) % 34.16/34.30 (step @p272 :rule cong :premises (@p127 @p271) :args (@t10)) % 34.16/34.30 (step @p273 :rule cong :premises (@p272) :args (@t11)) % 34.16/34.30 (step @p274 :rule trans :premises (@p273 @p269)) % 34.16/34.30 (step @p275 :rule eq_resolve :premises (@p3 @p274)) % 34.16/34.30 (step @p276 :rule instantiate :premises (@p275) :args ((@list @t122 @t125))) % 34.16/34.30 (step @p277 :rule and_elim :premises (@p94) :args (1)) % 34.16/34.30 (step @p278 :rule cong :premises (@p102 @p277) :args (@t128)) % 34.16/34.30 (step @p279 :rule eq_resolve :premises (@p105 @p278)) % 34.16/34.30 (step @p280 :rule cong :premises (@p277) :args (@t123)) % 34.16/34.30 (step @p281 :rule and_elim :premises (@p94) :args (0)) % 34.16/34.30 (step @p282 :rule eq_resolve :premises (@p281 @p280)) % 34.16/34.30 (step @p283 :rule cnf_or_pos :args (@t216)) % 34.16/34.30 (step @p284 :rule reordering :premises (@p283) :args ((or @t215 @t213 @t196 (not @t216)))) % 34.16/34.30 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p279 @p276) :args (@t196 @t217 (@list @t214 @t212 @t216))) % 34.16/34.30 (step @p286 :rule cnf_or_pos :args (@t200)) % 34.16/34.30 (step @p287 :rule reordering :premises (@p286) :args ((or @t156 @t197 @t190 (not @t200)))) % 34.16/34.30 (step @p288 :rule chain_m_resolution :premises (@p287 @p150 @p285 @p255) :args (@t190 @t217 (@list @t142 @t196 @t200))) % 34.16/34.30 (step @p289 :rule cnf_and_pos :args (@t190 1)) % 34.16/34.30 (step @p290 :rule reordering :premises (@p289) :args ((or @t189 (not @t190)))) % 34.16/34.30 (step @p291 :rule chain_m_resolution :premises (@p290 @p288) :args (@t189 @t150 (@list @t190))) % 34.16/34.30 (step @p292 :rule eq-symm :args (@t160 @t125)) % 34.16/34.30 (step @p293 :rule cong :premises (@p292) :args (@t218)) % 34.16/34.30 (step @p294 :rule refl :args (@t162)) % 34.16/34.30 (step @p295 :rule refl :args (@t167)) % 34.16/34.30 (step @p296 :rule nary_cong :premises (@p295 @p294 @p293) :args (@t219)) % 34.16/34.30 (step @p297 :rule refl :args (@t161)) % 34.16/34.30 (step @p298 :rule cong :premises (@p297 @p296) :args (@t220)) % 34.16/34.30 (step @p299 :rule refl :args (@t189)) % 34.16/34.30 (step @p300 :rule cong :premises (@p299 @p298) :args ((=> @t189 @t220))) % 34.16/34.30 (assume-push @p313 @t189) % 34.16/34.30 (step @p302 :rule instantiate :premises (@p291) :args ((@list @t160))) % 34.16/34.30 (step-pop @p314 :rule scope :premises (@p302)) % 34.16/34.30 (step @p303 :rule process_scope :premises (@p314) :args (@t220)) % 34.16/34.30 (step @p305 :rule eq_resolve :premises (@p303 @p300)) % 34.16/34.30 (step @p306 :rule implies_elim :premises (@p305)) % 34.16/34.30 (step @p307 :rule chain_m_resolution :premises (@p306 @p291) :args (@t221 @t150 (@list @t189))) % 34.16/34.30 (step @p308 :rule cnf_equiv_pos1 :args (@t221)) % 34.16/34.30 (step @p309 :rule reordering :premises (@p308) :args ((or @t163 @t168 (not @t221)))) % 34.16/34.30 (step @p310 false :rule chain_m_resolution :premises (@p309 @p307 @p179 @p174) :args (false (@list false true false) (@list @t221 @t168 @t161))) % 34.16/34.30 ) % 34.16/34.30 % SZS output end Proof % 34.16/34.30 % cvc5 exiting %------------------------------------------------------------------------------