%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM570+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 : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:52 AM UTC 2026 % Result : Theorem 166.17s 166.48s % Output : Proof 166.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM570+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 11:30:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 166.17/166.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 166.17/166.48 --- Run --no-e-matching --full-saturate-quant at 6... % 166.17/166.48 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 166.17/166.48 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 166.17/166.48 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 166.17/166.48 --- Run --trigger-sel=max --full-saturate-quant at 15... % 166.17/166.48 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 166.17/166.48 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 166.17/166.48 --- Run --prenex-quant=none --full-saturate-quant at 30... % 166.17/166.48 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 166.17/166.48 % SZS status Theorem % 166.17/166.48 % SZS output start Proof % 166.17/166.48 ( % 166.17/166.48 (declare-sort $$unsorted 0) % 166.17/166.48 (declare-const tptp.xN $$unsorted) % 166.17/166.48 (declare-const tptp.sz00 $$unsorted) % 166.17/166.48 (declare-const tptp.xc $$unsorted) % 166.17/166.48 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 166.17/166.48 (declare-const tptp.szNzAzT0 $$unsorted) % 166.17/166.48 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 166.17/166.48 (declare-const tptp.xk $$unsorted) % 166.17/166.48 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 166.17/166.48 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 166.17/166.48 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 166.17/166.48 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 166.17/166.48 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 166.17/166.48 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 166.17/166.48 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 166.17/166.48 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.xK $$unsorted) % 166.17/166.48 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.xT $$unsorted) % 166.17/166.48 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.xS $$unsorted) % 166.17/166.48 (declare-const tptp.xi $$unsorted) % 166.17/166.48 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.slcrc0 $$unsorted) % 166.17/166.48 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 166.17/166.48 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 166.17/166.48 (define @t1 () (@var "W0" $$unsorted)) % 166.17/166.48 (define @t2 () (tptp.aSet0 @t1)) % 166.17/166.48 (define @t3 () (@list @t1)) % 166.17/166.48 (define @t4 () (tptp.aElement0 @t1)) % 166.17/166.48 (define @t5 () (@var "W1" $$unsorted)) % 166.17/166.48 (define @t6 () (tptp.aElement0 @t5)) % 166.17/166.48 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 166.17/166.48 (define @t8 () (@list @t5)) % 166.17/166.48 (define @t9 () (forall @t8 (=> @t7 @t6))) % 166.17/166.48 (define @t10 () (=> @t2 @t9)) % 166.17/166.48 (define @t11 () (forall @t3 @t10)) % 166.17/166.48 (define @t12 () (tptp.isFinite0 @t1)) % 166.17/166.48 (define @t13 () (= @t1 tptp.slcrc0)) % 166.17/166.48 (define @t14 () (tptp.isFinite0 tptp.slcrc0)) % 166.17/166.48 (define @t15 () (tptp.isCountable0 @t1)) % 166.17/166.48 (define @t16 () (not @t12)) % 166.17/166.48 (define @t17 () (and @t2 @t15)) % 166.17/166.48 (define @t18 () (forall @t3 (=> @t17 @t16))) % 166.17/166.48 (define @t19 () (not @t13)) % 166.17/166.48 (define @t20 () (@var "W2" $$unsorted)) % 166.17/166.48 (define @t21 () (tptp.aElementOf0 @t20 @t1)) % 166.17/166.48 (define @t22 () (tptp.aElementOf0 @t20 @t5)) % 166.17/166.48 (define @t23 () (@list @t20)) % 166.17/166.48 (define @t24 () (forall @t23 (=> @t22 @t21))) % 166.17/166.48 (define @t25 () (tptp.aSet0 @t5)) % 166.17/166.48 (define @t26 () (and @t25 @t24)) % 166.17/166.48 (define @t27 () (tptp.aSubsetOf0 @t5 @t1)) % 166.17/166.48 (define @t28 () (= @t27 @t26)) % 166.17/166.48 (define @t29 () (forall @t8 @t28)) % 166.17/166.48 (define @t30 () (=> @t2 @t29)) % 166.17/166.48 (define @t31 () (forall @t3 @t30)) % 166.17/166.48 (define @t32 () (tptp.isFinite0 @t5)) % 166.17/166.48 (define @t33 () (and @t2 @t12)) % 166.17/166.48 (define @t34 () (= @t1 @t5)) % 166.17/166.48 (define @t35 () (tptp.aSubsetOf0 @t1 @t5)) % 166.17/166.48 (define @t36 () (@list @t1 @t5)) % 166.17/166.48 (define @t37 () (tptp.aSubsetOf0 @t5 @t20)) % 166.17/166.48 (define @t38 () (tptp.aSet0 @t20)) % 166.17/166.48 (define @t39 () (@list @t1 @t5 @t20)) % 166.17/166.48 (define @t40 () (@var "W3" $$unsorted)) % 166.17/166.48 (define @t41 () (= @t40 @t5)) % 166.17/166.48 (define @t42 () (tptp.aElementOf0 @t40 @t1)) % 166.17/166.48 (define @t43 () (tptp.aElement0 @t40)) % 166.17/166.48 (define @t44 () (tptp.aElementOf0 @t40 @t20)) % 166.17/166.48 (define @t45 () (@list @t40)) % 166.17/166.48 (define @t46 () (tptp.sdtpldt0 @t1 @t5)) % 166.17/166.48 (define @t47 () (and @t2 @t6)) % 166.17/166.48 (define @t48 () (not @t41)) % 166.17/166.48 (define @t49 () (and @t43 @t42 @t48)) % 166.17/166.48 (define @t50 () (= @t44 @t49)) % 166.17/166.48 (define @t51 () (forall @t45 @t50)) % 166.17/166.48 (define @t52 () (and @t38 @t51)) % 166.17/166.48 (define @t53 () (tptp.sdtmndt0 @t1 @t5)) % 166.17/166.48 (define @t54 () (= @t20 @t53)) % 166.17/166.48 (define @t55 () (= @t54 @t52)) % 166.17/166.48 (define @t56 () (forall @t23 @t55)) % 166.17/166.48 (define @t57 () (=> @t47 @t56)) % 166.17/166.48 (define @t58 () (forall @t36 @t57)) % 166.17/166.48 (define @t59 () (tptp.sdtpldt0 @t5 @t1)) % 166.17/166.48 (define @t60 () (tptp.isCountable0 @t5)) % 166.17/166.48 (define @t61 () (and @t25 @t60)) % 166.17/166.48 (define @t62 () (tptp.sdtmndt0 @t5 @t1)) % 166.17/166.48 (define @t63 () (and @t25 @t32)) % 166.17/166.48 (define @t64 () (tptp.aSet0 tptp.szNzAzT0)) % 166.17/166.48 (define @t65 () (tptp.szszuzczcdt0 @t1)) % 166.17/166.48 (define @t66 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 166.17/166.48 (define @t67 () (tptp.szszuzczcdt0 @t5)) % 166.17/166.48 (define @t68 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 166.17/166.48 (define @t69 () (and @t66 @t68)) % 166.17/166.48 (define @t70 () (= @t1 @t67)) % 166.17/166.48 (define @t71 () (and @t68 @t70)) % 166.17/166.48 (define @t72 () (exists @t8 @t71)) % 166.17/166.48 (define @t73 () (= @t1 tptp.sz00)) % 166.17/166.48 (define @t74 () (or @t73 @t72)) % 166.17/166.48 (define @t75 () (=> @t66 @t74)) % 166.17/166.48 (define @t76 () (forall @t3 @t75)) % 166.17/166.48 (define @t77 () (tptp.sdtlseqdt0 @t1 @t5)) % 166.17/166.48 (define @t78 () (tptp.sdtlseqdt0 @t5 @t20)) % 166.17/166.48 (define @t79 () (tptp.aElementOf0 @t20 tptp.szNzAzT0)) % 166.17/166.48 (define @t80 () (tptp.iLess0 @t1 @t65)) % 166.17/166.48 (define @t81 () (forall @t3 (=> @t66 @t80))) % 166.17/166.48 (define @t82 () (tptp.sbrdtbr0 @t1)) % 166.17/166.48 (define @t83 () (not @t7)) % 166.17/166.48 (define @t84 () (and @t2 @t68)) % 166.17/166.48 (define @t85 () (forall @t23 (=> @t21 @t78))) % 166.17/166.48 (define @t86 () (and @t7 @t85)) % 166.17/166.48 (define @t87 () (tptp.szmzizndt0 @t1)) % 166.17/166.48 (define @t88 () (= @t5 @t87)) % 166.17/166.48 (define @t89 () (= @t88 @t86)) % 166.17/166.48 (define @t90 () (forall @t8 @t89)) % 166.17/166.48 (define @t91 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 166.17/166.48 (define @t92 () (and @t91 @t19)) % 166.17/166.48 (define @t93 () (=> @t92 @t90)) % 166.17/166.48 (define @t94 () (forall @t3 @t93)) % 166.17/166.48 (define @t95 () (tptp.szmzizndt0 @t5)) % 166.17/166.48 (define @t96 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 166.17/166.48 (define @t97 () (tptp.slbdtrb0 @t1)) % 166.17/166.48 (define @t98 () (tptp.slbdtrb0 tptp.sz00)) % 166.17/166.48 (define @t99 () (tptp.slbdtrb0 @t5)) % 166.17/166.48 (define @t100 () (tptp.aSubsetOf0 @t40 @t1)) % 166.17/166.48 (define @t101 () (tptp.slbdtsldtrb0 @t1 @t5)) % 166.17/166.48 (define @t102 () (tptp.slbdtsldtrb0 @t5 @t1)) % 166.17/166.48 (define @t103 () (tptp.aFunction0 @t1)) % 166.17/166.48 (define @t104 () (tptp.szDzozmdt0 @t1)) % 166.17/166.48 (define @t105 () (tptp.sdtlpdtrp0 @t1 @t5)) % 166.17/166.48 (define @t106 () (tptp.aElementOf0 @t5 @t104)) % 166.17/166.48 (define @t107 () (tptp.sdtlpdtrp0 @t1 @t40)) % 166.17/166.48 (define @t108 () (tptp.aElementOf0 @t40 @t104)) % 166.17/166.48 (define @t109 () (tptp.sdtlbdtrb0 @t1 @t5)) % 166.17/166.48 (define @t110 () (and @t103 @t6)) % 166.17/166.48 (define @t111 () (@var "W4" $$unsorted)) % 166.17/166.48 (define @t112 () (@list @t111)) % 166.17/166.48 (define @t113 () (tptp.sdtlcdtrc0 @t1 @t5)) % 166.17/166.48 (define @t114 () (tptp.aSubsetOf0 @t5 @t104)) % 166.17/166.48 (define @t115 () (tptp.sdtlcdtrc0 @t1 @t104)) % 166.17/166.48 (define @t116 () (tptp.szDzozmdt0 @t20)) % 166.17/166.48 (define @t117 () (tptp.aFunction0 @t20)) % 166.17/166.48 (define @t118 () (tptp.szDzizrdt0 @t1)) % 166.17/166.48 (define @t119 () (tptp.szDzozmdt0 tptp.xc)) % 166.17/166.48 (define @t120 () (@var "W5" $$unsorted)) % 166.17/166.48 (define @t121 () (tptp.sdtlpdtrp0 tptp.xN @t65)) % 166.17/166.48 (define @t122 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 166.17/166.48 (define @t123 () (and (tptp.aSubsetOf0 @t121 (tptp.sdtmndt0 @t122 (tptp.szmzizndt0 @t122))) (tptp.isCountable0 @t121))) % 166.17/166.48 (define @t124 () (tptp.isCountable0 @t122)) % 166.17/166.48 (define @t125 () (tptp.aSubsetOf0 @t122 tptp.szNzAzT0)) % 166.17/166.48 (define @t126 () (and @t125 @t124)) % 166.17/166.48 (define @t127 () (=> @t126 @t123)) % 166.17/166.48 (define @t128 () (forall @t3 (=> @t66 @t127))) % 166.17/166.48 (define @t129 () (tptp.szDzozmdt0 tptp.xN)) % 166.17/166.48 (define @t130 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 166.17/166.48 (define @t131 () (tptp.iLess0 @t1 tptp.xi)) % 166.17/166.48 (define @t132 () (=> @t131 @t126)) % 166.17/166.48 (define @t133 () (forall @t3 (=> @t66 @t132))) % 166.17/166.48 (define @t134 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 166.17/166.48 (define @t135 () (tptp.isCountable0 @t134)) % 166.17/166.48 (define @t136 () (tptp.aSubsetOf0 @t134 tptp.szNzAzT0)) % 166.17/166.48 (define @t137 () (= @t65 tptp.xi)) % 166.17/166.48 (define @t138 () (and @t66 @t137)) % 166.17/166.48 (define @t139 () (exists @t3 @t138)) % 166.17/166.48 (define @t140 () (and @t139 @t136 @t135)) % 166.17/166.48 (define @t141 () (= tptp.xi tptp.sz00)) % 166.17/166.48 (define @t142 () (not @t141)) % 166.17/166.48 (define @t143 () (=> @t142 @t140)) % 166.17/166.48 (define @t144 () (not @t143)) % 166.17/166.48 (define @t145 () (@var "BOUND_VARIABLE_8091" $$unsorted)) % 166.17/166.48 (define @t146 () (= (tptp.aSubsetOf0 @t145 @t1) (and (tptp.aSet0 @t145) (forall @t23 (or (not (tptp.aElementOf0 @t20 @t145)) @t21))))) % 166.17/166.48 (define @t147 () (not @t2)) % 166.17/166.48 (define @t148 () (or @t147 @t146)) % 166.17/166.48 (define @t149 () (@list @t145)) % 166.17/166.48 (define @t150 () (forall @t149 @t148)) % 166.17/166.48 (define @t151 () (forall @t149 @t146)) % 166.17/166.48 (define @t152 () (@list @t5)) % 166.17/166.48 (define @t153 () (or @t147 @t151)) % 166.17/166.48 (define @t154 () (forall @t8 (= @t27 (and @t25 (forall @t23 (or (not @t22) @t21)))))) % 166.17/166.48 (define @t155 () (tptp.aElementOf0 @t20 @t129)) % 166.17/166.48 (define @t156 () (forall @t23 (or (not (tptp.aElementOf0 @t20 @t134)) @t155))) % 166.17/166.48 (define @t157 () (tptp.aSet0 @t134)) % 166.17/166.48 (define @t158 () (and @t157 @t156)) % 166.17/166.48 (define @t159 () (tptp.aSubsetOf0 @t134 @t129)) % 166.17/166.48 (define @t160 () (= @t159 @t158)) % 166.17/166.48 (define @t161 () (tptp.aSet0 @t129)) % 166.17/166.48 (define @t162 () (not @t161)) % 166.17/166.48 (define @t163 () (or @t162 @t160)) % 166.17/166.48 (define @t164 () (@list false false)) % 166.17/166.48 (define @t165 () (not @t124)) % 166.17/166.48 (define @t166 () (not @t125)) % 166.17/166.48 (define @t167 () (not @t66)) % 166.17/166.48 (define @t168 () (or @t167 @t166 @t165 @t123)) % 166.17/166.48 (define @t169 () (or @t166 @t165 @t123)) % 166.17/166.48 (define @t170 () (not @t137)) % 166.17/166.48 (define @t171 () (not (tptp.aElementOf0 @t1 @t129))) % 166.17/166.48 (define @t172 () (forall @t3 (or @t171 @t170))) % 166.17/166.48 (define @t173 () (@quantifiers_skolemize @t172 0)) % 166.17/166.48 (define @t174 () (@list @t173)) % 166.17/166.48 (define @t175 () (not @t131)) % 166.17/166.48 (define @t176 () (or @t167 @t175 @t126)) % 166.17/166.48 (define @t177 () (or @t167 @t80)) % 166.17/166.48 (define @t178 () (not @t70)) % 166.17/166.48 (define @t179 () (not @t68)) % 166.17/166.48 (define @t180 () (or @t179 @t178)) % 166.17/166.48 (define @t181 () (forall @t8 @t180)) % 166.17/166.48 (define @t182 () (not @t181)) % 166.17/166.48 (define @t183 () (or @t167 @t73 @t182)) % 166.17/166.48 (define @t184 () (or @t73 @t182)) % 166.17/166.48 (define @t185 () (forall @t8 (not @t71))) % 166.17/166.48 (define @t186 () (not @t185)) % 166.17/166.48 (define @t187 () (not (= tptp.xi @t67))) % 166.17/166.48 (define @t188 () (not (tptp.aElementOf0 @t5 @t129))) % 166.17/166.48 (define @t189 () (or @t188 @t187)) % 166.17/166.48 (define @t190 () (forall @t8 @t189)) % 166.17/166.48 (define @t191 () (not @t190)) % 166.17/166.48 (define @t192 () (tptp.aElementOf0 tptp.xi @t129)) % 166.17/166.48 (define @t193 () (not @t192)) % 166.17/166.48 (define @t194 () (or @t193 @t141 @t191)) % 166.17/166.48 (define @t195 () (forall @t3 (or @t171 @t73 (not (forall @t8 (or @t188 @t178)))))) % 166.17/166.48 (define @t196 () (forall @t8 (or @t188 (not (= @t67 tptp.xi))))) % 166.17/166.48 (define @t197 () (not @t196)) % 166.17/166.48 (define @t198 () (= tptp.sz00 tptp.xi)) % 166.17/166.48 (define @t199 () (or @t193 @t198 @t197)) % 166.17/166.48 (define @t200 () (@list false)) % 166.17/166.48 (define @t201 () (or @t167 @t170)) % 166.17/166.48 (define @t202 () (forall @t3 @t201)) % 166.17/166.48 (define @t203 () (not @t202)) % 166.17/166.48 (define @t204 () (and @t203 @t136 @t135)) % 166.17/166.48 (define @t205 () (not @t198)) % 166.17/166.48 (define @t206 () (=> @t205 @t204)) % 166.17/166.48 (define @t207 () (forall @t3 (not @t138))) % 166.17/166.48 (define @t208 () (not @t207)) % 166.17/166.48 (define @t209 () (not @t172)) % 166.17/166.48 (define @t210 () (@list true)) % 166.17/166.48 (define @t211 () (tptp.szszuzczcdt0 @t173)) % 166.17/166.48 (define @t212 () (= tptp.xi @t211)) % 166.17/166.48 (define @t213 () (not @t212)) % 166.17/166.48 (define @t214 () (tptp.aElementOf0 @t173 @t129)) % 166.17/166.48 (define @t215 () (not @t214)) % 166.17/166.48 (define @t216 () (or @t215 @t213)) % 166.17/166.48 (define @t217 () (not @t216)) % 166.17/166.48 (define @t218 () (not @t209)) % 166.17/166.48 (define @t219 () (not (= @t211 tptp.xi))) % 166.17/166.48 (define @t220 () (or @t215 @t219)) % 166.17/166.48 (define @t221 () (not @t220)) % 166.17/166.48 (define @t222 () (@list @t216)) % 166.17/166.48 (define @t223 () (tptp.iLess0 @t173 @t211)) % 166.17/166.48 (define @t224 () (or @t215 @t223)) % 166.17/166.48 (define @t225 () (tptp.iLess0 @t173 tptp.xi)) % 166.17/166.48 (define @t226 () (tptp.sdtlpdtrp0 tptp.xN @t173)) % 166.17/166.48 (define @t227 () (tptp.isCountable0 @t226)) % 166.17/166.48 (define @t228 () (tptp.aSubsetOf0 @t226 @t129)) % 166.17/166.48 (define @t229 () (and @t228 @t227)) % 166.17/166.48 (define @t230 () (not @t225)) % 166.17/166.48 (define @t231 () (or @t215 @t230 @t229)) % 166.17/166.48 (define @t232 () (@list false false false)) % 166.17/166.48 (define @t233 () (not @t229)) % 166.17/166.48 (define @t234 () (@list @t229)) % 166.17/166.48 (define @t235 () (tptp.sdtlpdtrp0 tptp.xN @t211)) % 166.17/166.48 (define @t236 () (tptp.isCountable0 @t235)) % 166.17/166.48 (define @t237 () (tptp.szmzizndt0 @t226)) % 166.17/166.48 (define @t238 () (tptp.sdtmndt0 @t226 @t237)) % 166.17/166.48 (define @t239 () (tptp.aSubsetOf0 @t235 @t238)) % 166.17/166.48 (define @t240 () (and @t239 @t236)) % 166.17/166.48 (define @t241 () (not @t227)) % 166.17/166.48 (define @t242 () (not @t228)) % 166.17/166.48 (define @t243 () (or @t215 @t242 @t241 @t240)) % 166.17/166.48 (define @t244 () (not @t240)) % 166.17/166.48 (define @t245 () (@list @t240)) % 166.17/166.48 (define @t246 () (not @t135)) % 166.17/166.48 (define @t247 () (not @t159)) % 166.17/166.48 (define @t248 () (@list true false)) % 166.17/166.48 (define @t249 () (not @t158)) % 166.17/166.48 (define @t250 () (@var "BOUND_VARIABLE_8195" $$unsorted)) % 166.17/166.48 (define @t251 () (tptp.aElementOf0 @t40 @t250)) % 166.17/166.48 (define @t252 () (and @t43 @t42 (not (= @t5 @t40)))) % 166.17/166.48 (define @t253 () (forall @t45 (= @t251 @t252))) % 166.17/166.48 (define @t254 () (tptp.aSet0 @t250)) % 166.17/166.48 (define @t255 () (and @t254 @t253)) % 166.17/166.48 (define @t256 () (= (= @t250 @t53) @t255)) % 166.17/166.48 (define @t257 () (not @t6)) % 166.17/166.48 (define @t258 () (or @t147 @t257 @t256)) % 166.17/166.48 (define @t259 () (@list @t1 @t5 @t250)) % 166.17/166.48 (define @t260 () (forall @t259 @t258)) % 166.17/166.48 (define @t261 () (@list @t250)) % 166.17/166.48 (define @t262 () (forall @t261 @t258)) % 166.17/166.48 (define @t263 () (forall @t261 @t256)) % 166.17/166.48 (define @t264 () (or @t147 @t257 @t263)) % 166.17/166.48 (define @t265 () (forall @t23 (= @t54 (and @t38 (forall @t45 (= @t44 @t252)))))) % 166.17/166.48 (define @t266 () (or @t147 @t257 @t265)) % 166.17/166.48 (define @t267 () (tptp.aElementOf0 @t40 @t226)) % 166.17/166.48 (define @t268 () (and @t43 @t267 (not (= @t40 @t237)))) % 166.17/166.48 (define @t269 () (tptp.aElementOf0 @t40 @t238)) % 166.17/166.48 (define @t270 () (forall @t45 (= @t269 @t268))) % 166.17/166.48 (define @t271 () (tptp.aSet0 @t238)) % 166.17/166.48 (define @t272 () (and @t271 @t270)) % 166.17/166.48 (define @t273 () (not (= @t237 @t40))) % 166.17/166.48 (define @t274 () (and @t43 @t267 @t273)) % 166.17/166.48 (define @t275 () (= @t274 @t269)) % 166.17/166.48 (define @t276 () (forall @t45 @t275)) % 166.17/166.48 (define @t277 () (and @t271 @t276)) % 166.17/166.48 (define @t278 () (= (= @t238 @t238) @t277)) % 166.17/166.48 (define @t279 () (tptp.aElement0 @t237)) % 166.17/166.48 (define @t280 () (not @t279)) % 166.17/166.48 (define @t281 () (tptp.aSet0 @t226)) % 166.17/166.48 (define @t282 () (not @t281)) % 166.17/166.48 (define @t283 () (or @t282 @t280 @t278)) % 166.17/166.48 (define @t284 () (forall @t259 (or @t147 @t257 (= (= @t53 @t250) (and @t254 (forall @t45 (= @t252 @t251))))))) % 166.17/166.48 (define @t285 () (or @t282 @t280 @t272)) % 166.17/166.48 (define @t286 () (@var "BOUND_VARIABLE_8042" $$unsorted)) % 166.17/166.48 (define @t287 () (tptp.aElement0 @t286)) % 166.17/166.48 (define @t288 () (not (tptp.aElementOf0 @t286 @t1))) % 166.17/166.48 (define @t289 () (or @t288 @t287)) % 166.17/166.48 (define @t290 () (or @t147 @t289)) % 166.17/166.48 (define @t291 () (forall (@list @t1 @t286) @t290)) % 166.17/166.48 (define @t292 () (@list @t286)) % 166.17/166.48 (define @t293 () (forall @t292 @t290)) % 166.17/166.48 (define @t294 () (forall @t292 @t289)) % 166.17/166.48 (define @t295 () (or @t147 @t294)) % 166.17/166.48 (define @t296 () (forall @t8 (or @t83 @t6))) % 166.17/166.48 (define @t297 () (@list @t226 @t237)) % 166.17/166.48 (define @t298 () (@var "BOUND_VARIABLE_8545" $$unsorted)) % 166.17/166.48 (define @t299 () (not @t21)) % 166.17/166.48 (define @t300 () (and (tptp.aElementOf0 @t298 @t1) (forall @t23 (or @t299 (tptp.sdtlseqdt0 @t298 @t20))))) % 166.17/166.48 (define @t301 () (= @t300 (= @t87 @t298))) % 166.17/166.48 (define @t302 () (not @t91)) % 166.17/166.48 (define @t303 () (or @t302 @t13 @t301)) % 166.17/166.48 (define @t304 () (@list @t1 @t298)) % 166.17/166.48 (define @t305 () (= @t298 @t87)) % 166.17/166.48 (define @t306 () (= @t305 @t300)) % 166.17/166.48 (define @t307 () (or @t302 @t13 @t306)) % 166.17/166.48 (define @t308 () (forall @t304 @t307)) % 166.17/166.48 (define @t309 () (@list @t298)) % 166.17/166.48 (define @t310 () (forall @t309 @t307)) % 166.17/166.48 (define @t311 () (forall @t309 @t306)) % 166.17/166.48 (define @t312 () (or @t302 @t13 @t311)) % 166.17/166.48 (define @t313 () (forall @t8 (= @t88 (and @t7 (forall @t23 (or @t299 @t78)))))) % 166.17/166.48 (define @t314 () (or @t302 @t13 @t313)) % 166.17/166.48 (define @t315 () (not (tptp.aElementOf0 @t20 @t226))) % 166.17/166.48 (define @t316 () (tptp.aElementOf0 @t237 @t226)) % 166.17/166.48 (define @t317 () (and @t316 (forall @t23 (or @t315 (tptp.sdtlseqdt0 @t237 @t20))))) % 166.17/166.48 (define @t318 () (= @t317 (= @t237 @t237))) % 166.17/166.48 (define @t319 () (or @t242 (= @t226 @t98) @t318)) % 166.17/166.48 (define @t320 () (forall @t304 (or (not (tptp.aSubsetOf0 @t1 @t129)) (= @t1 @t98) @t301))) % 166.17/166.48 (define @t321 () (= @t98 @t226)) % 166.17/166.48 (define @t322 () (or @t242 @t321 @t317)) % 166.17/166.48 (define @t323 () (not @t15)) % 166.17/166.48 (define @t324 () (forall @t23 (or @t315 @t155))) % 166.17/166.48 (define @t325 () (and @t281 @t324)) % 166.17/166.48 (define @t326 () (= @t228 @t325)) % 166.17/166.48 (define @t327 () (or @t162 @t326)) % 166.17/166.48 (define @t328 () (not @t325)) % 166.17/166.48 (define @t329 () (@list @t325)) % 166.17/166.48 (define @t330 () (tptp.isFinite0 @t226)) % 166.17/166.48 (define @t331 () (not @t330)) % 166.17/166.48 (define @t332 () (or @t282 @t241 @t331)) % 166.17/166.48 (define @t333 () (not @t321)) % 166.17/166.48 (define @t334 () (tptp.isFinite0 @t98)) % 166.17/166.48 (define @t335 () (not @t334)) % 166.17/166.48 (define @t336 () (and @t334 @t321 @t331)) % 166.17/166.48 (define @t337 () (not @t316)) % 166.17/166.48 (define @t338 () (or @t282 @t337 @t279)) % 166.17/166.48 (define @t339 () (not @t272)) % 166.17/166.48 (define @t340 () (@list @t272)) % 166.17/166.48 (define @t341 () (forall @t23 (or (not (tptp.aElementOf0 @t20 @t235)) (tptp.aElementOf0 @t20 @t238)))) % 166.17/166.48 (define @t342 () (tptp.aSet0 @t235)) % 166.17/166.48 (define @t343 () (and @t342 @t341)) % 166.17/166.48 (define @t344 () (= @t239 @t343)) % 166.17/166.48 (define @t345 () (not @t271)) % 166.17/166.48 (define @t346 () (or @t345 @t344)) % 166.17/166.48 (define @t347 () (not @t343)) % 166.17/166.48 (define @t348 () (and @t212 @t342)) % 166.17/166.48 (define @t349 () (@quantifiers_skolemize @t156 0)) % 166.17/166.48 (define @t350 () (@list @t349)) % 166.17/166.48 (define @t351 () (not (= @t349 @t237))) % 166.17/166.48 (define @t352 () (tptp.aElementOf0 @t349 @t226)) % 166.17/166.48 (define @t353 () (tptp.aElement0 @t349)) % 166.17/166.48 (define @t354 () (and @t353 @t352 @t351)) % 166.17/166.48 (define @t355 () (tptp.aElementOf0 @t349 @t238)) % 166.17/166.48 (define @t356 () (= @t355 @t354)) % 166.17/166.48 (define @t357 () (and @t353 @t352 (not (= @t237 @t349)))) % 166.17/166.48 (define @t358 () (= @t355 @t357)) % 166.17/166.48 (define @t359 () (tptp.aElementOf0 @t349 @t235)) % 166.17/166.48 (define @t360 () (not @t359)) % 166.17/166.48 (define @t361 () (or @t360 @t355)) % 166.17/166.48 (define @t362 () (tptp.aElementOf0 @t349 @t134)) % 166.17/166.48 (define @t363 () (not @t362)) % 166.17/166.48 (define @t364 () (and @t212 @t360)) % 166.17/166.48 (define @t365 () (tptp.aElementOf0 @t349 @t129)) % 166.17/166.48 (define @t366 () (or @t363 @t365)) % 166.17/166.48 (define @t367 () (not @t366)) % 166.17/166.48 (define @t368 () (not @t156)) % 166.17/166.48 (define @t369 () (not @t352)) % 166.17/166.48 (define @t370 () (or @t369 @t365)) % 166.17/166.48 (assume @p1 (forall @t3 (=> @t2 true))) % 166.17/166.48 (assume @p2 (forall @t3 (=> @t4 true))) % 166.17/166.48 (assume @p3 @t11) % 166.17/166.48 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 166.17/166.48 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 166.17/166.48 (assume @p6 @t14) % 166.17/166.48 (assume @p7 (forall @t3 (=> @t2 (=> @t15 true)))) % 166.17/166.48 (assume @p8 @t18) % 166.17/166.48 (assume @p9 (forall @t3 (=> @t17 @t19))) % 166.17/166.48 (assume @p10 @t31) % 166.17/166.48 (assume @p11 (forall @t3 (=> @t33 (forall @t8 (=> @t27 @t32))))) % 166.17/166.48 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 166.17/166.48 (assume @p13 (forall @t36 (=> (and @t2 @t25) (=> (and @t35 @t27) @t34)))) % 166.17/166.48 (assume @p14 (forall @t39 (=> (and @t2 @t25 @t38) (=> (and @t35 @t37) (tptp.aSubsetOf0 @t1 @t20))))) % 166.17/166.48 (assume @p15 (forall @t36 (=> @t47 (forall @t23 (= (= @t20 @t46) (and @t38 (forall @t45 (= @t44 (and @t43 (or @t42 @t41)))))))))) % 166.17/166.48 (assume @p16 @t58) % 166.17/166.48 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t53 @t5) @t1)))))) % 166.17/166.48 (assume @p18 (forall @t36 (=> (and @t4 @t25) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t59 @t1) @t5))))) % 166.17/166.48 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t61 (tptp.isCountable0 @t59)))))) % 166.17/166.48 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t61 (tptp.isCountable0 @t62)))))) % 166.17/166.48 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t63 (tptp.isFinite0 @t59)))))) % 166.17/166.48 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t63 (tptp.isFinite0 @t62)))))) % 166.17/166.48 (assume @p23 (and @t64 (tptp.isCountable0 tptp.szNzAzT0))) % 166.17/166.48 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 166.17/166.48 (assume @p25 (forall @t3 (=> @t66 (and (tptp.aElementOf0 @t65 tptp.szNzAzT0) (not (= @t65 tptp.sz00)))))) % 166.17/166.48 (assume @p26 (forall @t36 (=> @t69 (=> (= @t65 @t67) @t34)))) % 166.17/166.48 (assume @p27 @t76) % 166.17/166.48 (assume @p28 (forall @t3 (=> @t66 (not (= @t1 @t65))))) % 166.17/166.48 (assume @p29 (forall @t36 (=> @t69 (=> @t77 true)))) % 166.17/166.48 (assume @p30 (forall @t3 (=> @t66 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 166.17/166.48 (assume @p31 (forall @t3 (=> @t66 (not (tptp.sdtlseqdt0 @t65 tptp.sz00))))) % 166.17/166.48 (assume @p32 (forall @t36 (=> @t69 (= @t77 (tptp.sdtlseqdt0 @t65 @t67))))) % 166.17/166.48 (assume @p33 (forall @t3 (=> @t66 (tptp.sdtlseqdt0 @t1 @t65)))) % 166.17/166.48 (assume @p34 (forall @t3 (=> @t66 (tptp.sdtlseqdt0 @t1 @t1)))) % 166.17/166.48 (assume @p35 (forall @t36 (=> @t69 (=> (and @t77 (tptp.sdtlseqdt0 @t5 @t1)) @t34)))) % 166.17/166.48 (assume @p36 (forall @t39 (=> (and @t66 @t68 @t79) (=> (and @t77 @t78) (tptp.sdtlseqdt0 @t1 @t20))))) % 166.17/166.48 (assume @p37 (forall @t36 (=> @t69 (or @t77 (tptp.sdtlseqdt0 @t67 @t1))))) % 166.17/166.48 (assume @p38 (forall @t36 (=> @t69 (=> (tptp.iLess0 @t1 @t5) true)))) % 166.17/166.48 (assume @p39 @t81) % 166.17/166.48 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t82)))) % 166.17/166.48 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t82 tptp.szNzAzT0) @t12)))) % 166.17/166.48 (assume @p42 (forall @t3 (=> @t2 (= (= @t82 tptp.sz00) @t13)))) % 166.17/166.48 (assume @p43 (forall @t3 (=> @t33 (forall @t8 (=> @t6 (=> @t83 (= (tptp.sbrdtbr0 @t46) (tptp.szszuzczcdt0 @t82)))))))) % 166.17/166.48 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t53)) @t82)))))) % 166.17/166.48 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t27) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t82)))))) % 166.17/166.48 (assume @p46 (forall @t36 (=> @t84 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t82)) (exists @t23 (and (tptp.aSubsetOf0 @t20 @t1) (= (tptp.sbrdtbr0 @t20) @t5))))))) % 166.17/166.48 (assume @p47 @t94) % 166.17/166.48 (assume @p48 (forall @t3 (=> (and @t91 @t12 @t19) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t23 (=> @t21 (tptp.sdtlseqdt0 @t20 @t5))))))))) % 166.17/166.48 (assume @p49 (forall @t36 (=> (and @t91 @t96 @t19 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t87 @t5) (tptp.aElementOf0 @t95 @t1)) (= @t87 @t95))))) % 166.17/166.48 (assume @p50 (forall @t3 (=> @t66 (forall @t8 (= (= @t5 @t97) (and @t25 (forall @t23 (= @t22 (and @t79 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t20) @t1)))))))))) % 166.17/166.48 (assume @p51 (forall @t3 (=> @t66 (tptp.isFinite0 @t97)))) % 166.17/166.48 (assume @p52 (= @t98 tptp.slcrc0)) % 166.17/166.48 (assume @p53 (forall @t36 (=> @t69 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t67)) (or (tptp.aElementOf0 @t1 @t99) @t34))))) % 166.17/166.48 (assume @p54 (forall @t36 (=> @t69 (= @t77 (tptp.aSubsetOf0 @t97 @t99))))) % 166.17/166.48 (assume @p55 (forall @t3 (=> (and @t91 @t12) (exists @t8 (and @t68 (tptp.aSubsetOf0 @t1 @t99)))))) % 166.17/166.48 (assume @p56 (forall @t3 (=> @t66 (= (tptp.sbrdtbr0 @t97) @t1)))) % 166.17/166.48 (assume @p57 (forall @t36 (=> @t84 (forall @t23 (= (= @t20 @t101) (and @t38 (forall @t45 (= @t44 (and @t100 (= (tptp.sbrdtbr0 @t40) @t5)))))))))) % 166.17/166.48 (assume @p58 (forall @t3 (=> @t33 (forall @t8 (=> @t68 (tptp.isFinite0 @t101)))))) % 166.17/166.48 (assume @p59 (forall @t3 (=> (and @t2 @t16) (forall @t8 (=> @t68 (not (= @t101 tptp.slcrc0))))))) % 166.17/166.48 (assume @p60 (forall @t3 (=> @t17 (forall @t8 (=> (and @t68 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t101)))))) % 166.17/166.48 (assume @p61 (forall @t3 (=> @t66 (forall (@list @t5 @t20) (=> (and @t25 @t38 (not @t73)) (=> (and (tptp.aSubsetOf0 @t102 (tptp.slbdtsldtrb0 @t20 @t1)) (not (= @t102 tptp.slcrc0))) @t37)))))) % 166.17/166.48 (assume @p62 (forall @t36 (=> @t84 (forall @t23 (=> (and (tptp.aSubsetOf0 @t20 @t101) (tptp.isFinite0 @t20)) (exists @t45 (and @t100 (tptp.isFinite0 @t40) (tptp.aSubsetOf0 @t20 (tptp.slbdtsldtrb0 @t40 @t5))))))))) % 166.17/166.48 (assume @p63 (forall @t3 (=> @t103 true))) % 166.17/166.48 (assume @p64 (forall @t3 (=> @t103 (tptp.aSet0 @t104)))) % 166.17/166.48 (assume @p65 (forall @t3 (=> @t103 (forall @t8 (=> @t106 (tptp.aElement0 @t105)))))) % 166.17/166.48 (assume @p66 (forall @t36 (=> @t110 (forall @t23 (= (= @t20 @t109) (and @t38 (forall @t45 (= @t44 (and @t108 (= @t107 @t5)))))))))) % 166.17/166.48 (assume @p67 (forall @t36 (=> @t110 (tptp.aSubsetOf0 @t109 @t104)))) % 166.17/166.48 (assume @p68 (forall @t3 (=> @t103 (forall @t8 (=> @t114 (forall @t23 (= (= @t20 @t113) (and @t38 (forall @t45 (= @t44 (exists @t112 (and (tptp.aElementOf0 @t111 @t5) (= (tptp.sdtlpdtrp0 @t1 @t111) @t40))))))))))))) % 166.17/166.48 (assume @p69 (forall @t3 (=> @t103 (forall @t8 (=> @t106 (tptp.aElementOf0 @t105 @t115)))))) % 166.17/166.48 (assume @p70 (forall @t3 (=> @t103 (forall @t8 (=> @t114 (forall @t23 (= (= @t20 (tptp.sdtexdt0 @t1 @t5)) (and @t117 (= @t116 @t5) (forall @t45 (=> (tptp.aElementOf0 @t40 @t5) (= (tptp.sdtlpdtrp0 @t20 @t40) @t107))))))))))) % 166.17/166.48 (assume @p71 (forall @t3 (=> @t103 (forall @t8 (=> (and @t114 @t60) (=> (forall (@list @t20 @t40) (=> (and (tptp.aElementOf0 @t20 @t104) @t108 (not (= @t20 @t40))) (not (= (tptp.sdtlpdtrp0 @t1 @t20) @t107)))) (tptp.isCountable0 @t113))))))) % 166.17/166.48 (assume @p72 (forall @t3 (=> @t103 (=> (and (tptp.isCountable0 @t104) (tptp.isFinite0 @t115)) (and (tptp.aElement0 @t118) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t118))))))) % 166.17/166.48 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 166.17/166.48 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 166.17/166.48 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 166.17/166.48 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t119 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t119) tptp.xT))) % 166.17/166.48 (assume @p77 (forall @t3 (=> @t66 (forall @t8 (=> (and @t96 @t60) (forall @t23 (=> (and @t117 (= @t116 @t102) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t20 @t116) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t45 (and (tptp.aElementOf0 @t40 tptp.xT) (exists @t112 (and (tptp.aSubsetOf0 @t111 @t5) (tptp.isCountable0 @t111) (forall (@list @t120) (=> (tptp.aElementOf0 @t120 (tptp.slbdtsldtrb0 @t111 @t1)) (= (tptp.sdtlpdtrp0 @t20 @t120) @t40))))))))))))))) % 166.17/166.48 (assume @p78 (not (= tptp.xK tptp.sz00))) % 166.17/166.48 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 166.17/166.48 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t129 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) @t128)) % 166.17/166.48 (assume @p81 @t130) % 166.17/166.48 (assume @p82 @t133) % 166.17/166.48 (assume @p83 @t144) % 166.17/166.48 (assume @p84 true) % 166.17/166.48 (step @p85 :rule quant-merge-prenex :args ((= (forall @t3 @t150) (forall (@list @t1 @t145) @t148)))) % 166.17/166.48 (step @p86 :rule alpha_equiv :args (@t151 (@list @t145) @t152)) % 166.17/166.48 (step @p87 :rule refl :args (@t147)) % 166.17/166.48 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t153)) % 166.17/166.48 (step @p89 :rule quant-miniscope-or :args ((= @t150 @t153))) % 166.17/166.48 (step @p90 :rule trans :premises (@p89 @p88)) % 166.17/166.48 (step @p91 :rule symm :premises (@p90)) % 166.17/166.48 (step @p92 :rule cong :premises (@p91) :args ((forall @t3 (or @t147 @t154)))) % 166.17/166.48 (step @p93 :rule trans :premises (@p92 @p85)) % 166.17/166.48 (step @p94 :rule bool-impl-elim :args (@t2 @t154)) % 166.17/166.48 (step @p95 :rule cong :premises (@p94) :args ((forall @t3 (=> @t2 @t154)))) % 166.17/166.48 (step @p96 :rule trans :premises (@p95 @p93)) % 166.17/166.48 (step @p97 :rule bool-impl-elim :args (@t22 @t21)) % 166.17/166.48 (step @p98 :rule cong :premises (@p97) :args (@t24)) % 166.17/166.48 (step @p99 :rule refl :args (@t25)) % 166.17/166.48 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t26)) % 166.17/166.48 (step @p101 :rule refl :args (@t27)) % 166.17/166.48 (step @p102 :rule cong :premises (@p101 @p100) :args (@t28)) % 166.17/166.48 (step @p103 :rule cong :premises (@p102) :args (@t29)) % 166.17/166.48 (step @p104 :rule refl :args (@t2)) % 166.17/166.48 (step @p105 :rule cong :premises (@p104 @p103) :args (@t30)) % 166.17/166.48 (step @p106 :rule cong :premises (@p105) :args (@t31)) % 166.17/166.48 (step @p107 :rule trans :premises (@p106 @p96)) % 166.17/166.48 (step @p108 :rule eq_resolve :premises (@p10 @p107)) % 166.17/166.48 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t129 @t134))) % 166.17/166.48 (step @p110 :rule and_elim :premises (@p80) :args (1)) % 166.17/166.48 (step @p111 :rule symm :premises (@p110)) % 166.17/166.48 (step @p112 :rule cong :premises (@p111) :args (@t64)) % 166.17/166.48 (step @p113 :rule and_elim :premises (@p23) :args (0)) % 166.17/166.48 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 166.17/166.48 (step @p115 :rule cnf_or_pos :args (@t163)) % 166.17/166.48 (step @p116 :rule reordering :premises (@p115) :args ((or @t162 @t160 (not @t163)))) % 166.17/166.48 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p109) :args (@t160 @t164 (@list @t161 @t163))) % 166.17/166.48 (step @p118 :rule refl :args (@t123)) % 166.17/166.48 (step @p119 :rule refl :args (@t165)) % 166.17/166.48 (step @p120 :rule refl :args (@t122)) % 166.17/166.48 (step @p121 :rule cong :premises (@p120 @p111) :args (@t125)) % 166.17/166.48 (step @p122 :rule cong :premises (@p121) :args (@t166)) % 166.17/166.48 (step @p123 :rule refl :args (@t1)) % 166.17/166.48 (step @p124 :rule cong :premises (@p123 @p111) :args (@t66)) % 166.17/166.48 (step @p125 :rule cong :premises (@p124) :args (@t167)) % 166.17/166.48 (step @p126 :rule nary_cong :premises (@p125 @p122 @p119 @p118) :args (@t168)) % 166.17/166.48 (step @p127 :rule cong :premises (@p126) :args ((forall @t3 @t168))) % 166.17/166.48 (step @p128 :rule aci_norm :args ((= (or @t167 @t169) @t168))) % 166.17/166.48 (step @p129 :rule aci_norm :args ((= (or (or @t166 @t165) @t123) @t169))) % 166.17/166.48 (step @p130 :rule refl :args (@t123)) % 166.17/166.48 (step @p131 :rule bool-and-de-morgan :args (@t125 @t124 true)) % 166.17/166.48 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or (not @t126) @t123))) % 166.17/166.48 (step @p133 :rule trans :premises (@p132 @p129)) % 166.17/166.48 (step @p134 :rule bool-impl-elim :args (@t126 @t123)) % 166.17/166.48 (step @p135 :rule trans :premises (@p134 @p133)) % 166.17/166.48 (step @p136 :rule refl :args (@t167)) % 166.17/166.48 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t167 @t127))) % 166.17/166.48 (step @p138 :rule trans :premises (@p137 @p128)) % 166.17/166.48 (step @p139 :rule bool-impl-elim :args (@t66 @t127)) % 166.17/166.48 (step @p140 :rule trans :premises (@p139 @p138)) % 166.17/166.48 (step @p141 :rule cong :premises (@p140) :args (@t128)) % 166.17/166.48 (step @p142 :rule trans :premises (@p141 @p127)) % 166.17/166.48 (step @p143 :rule and_elim :premises (@p80) :args (3)) % 166.17/166.48 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 166.17/166.48 (step @p145 :rule instantiate :premises (@p144) :args (@t174)) % 166.17/166.48 (step @p146 :rule refl :args (@t124)) % 166.17/166.48 (step @p147 :rule nary_cong :premises (@p121 @p146) :args (@t126)) % 166.17/166.48 (step @p148 :rule refl :args (@t175)) % 166.17/166.48 (step @p149 :rule nary_cong :premises (@p125 @p148 @p147) :args (@t176)) % 166.17/166.48 (step @p150 :rule cong :premises (@p149) :args ((forall @t3 @t176))) % 166.17/166.48 (step @p151 :rule aci_norm :args ((= (or @t167 (or @t175 @t126)) @t176))) % 166.17/166.48 (step @p152 :rule bool-impl-elim :args (@t131 @t126)) % 166.17/166.48 (step @p153 :rule nary_cong :premises (@p136 @p152) :args ((or @t167 @t132))) % 166.17/166.48 (step @p154 :rule trans :premises (@p153 @p151)) % 166.17/166.48 (step @p155 :rule bool-impl-elim :args (@t66 @t132)) % 166.17/166.48 (step @p156 :rule trans :premises (@p155 @p154)) % 166.17/166.48 (step @p157 :rule cong :premises (@p156) :args (@t133)) % 166.17/166.48 (step @p158 :rule trans :premises (@p157 @p150)) % 166.17/166.48 (step @p159 :rule eq_resolve :premises (@p82 @p158)) % 166.17/166.48 (step @p160 :rule instantiate :premises (@p159) :args (@t174)) % 166.17/166.48 (step @p161 :rule refl :args (@t80)) % 166.17/166.48 (step @p162 :rule nary_cong :premises (@p125 @p161) :args (@t177)) % 166.17/166.48 (step @p163 :rule cong :premises (@p162) :args ((forall @t3 @t177))) % 166.17/166.48 (step @p164 :rule bool-impl-elim :args (@t66 @t80)) % 166.17/166.48 (step @p165 :rule cong :premises (@p164) :args (@t81)) % 166.17/166.48 (step @p166 :rule trans :premises (@p165 @p163)) % 166.17/166.48 (step @p167 :rule eq_resolve :premises (@p39 @p166)) % 166.17/166.48 (step @p168 :rule instantiate :premises (@p167) :args (@t174)) % 166.17/166.48 (step @p169 :rule refl :args (@t178)) % 166.17/166.48 (step @p170 :rule refl :args (@t5)) % 166.17/166.48 (step @p171 :rule cong :premises (@p170 @p111) :args (@t68)) % 166.17/166.48 (step @p172 :rule cong :premises (@p171) :args (@t179)) % 166.17/166.48 (step @p173 :rule nary_cong :premises (@p172 @p169) :args (@t180)) % 166.17/166.48 (step @p174 :rule cong :premises (@p173) :args (@t181)) % 166.17/166.48 (step @p175 :rule cong :premises (@p174) :args (@t182)) % 166.17/166.48 (step @p176 :rule refl :args (@t73)) % 166.17/166.48 (step @p177 :rule nary_cong :premises (@p125 @p176 @p175) :args (@t183)) % 166.17/166.48 (step @p178 :rule cong :premises (@p177) :args ((forall @t3 @t183))) % 166.17/166.48 (step @p179 :rule aci_norm :args ((= (or @t167 @t184) @t183))) % 166.17/166.48 (step @p180 :rule bool-impl-elim :args (@t66 @t184)) % 166.17/166.48 (step @p181 :rule trans :premises (@p180 @p179)) % 166.17/166.48 (step @p182 :rule cong :premises (@p181) :args ((forall @t3 (=> @t66 @t184)))) % 166.17/166.48 (step @p183 :rule bool-and-de-morgan :args (@t68 @t70 true)) % 166.17/166.48 (step @p184 :rule cong :premises (@p183) :args (@t185)) % 166.17/166.48 (step @p185 :rule cong :premises (@p184) :args (@t186)) % 166.17/166.48 (step @p186 :rule exists-elim :args ((= @t72 @t186))) % 166.17/166.48 (step @p187 :rule trans :premises (@p186 @p185)) % 166.17/166.48 (step @p188 :rule nary_cong :premises (@p176 @p187) :args (@t74)) % 166.17/166.48 (step @p189 :rule refl :args (@t66)) % 166.17/166.48 (step @p190 :rule cong :premises (@p189 @p188) :args (@t75)) % 166.17/166.48 (step @p191 :rule cong :premises (@p190) :args (@t76)) % 166.17/166.48 (step @p192 :rule trans :premises (@p191 @p182)) % 166.17/166.48 (step @p193 :rule trans :premises (@p192 @p178)) % 166.17/166.48 (step @p194 :rule eq_resolve :premises (@p27 @p193)) % 166.17/166.48 (step @p195 :rule eq-symm :args (tptp.xi @t67)) % 166.17/166.48 (step @p196 :rule cong :premises (@p195) :args (@t187)) % 166.17/166.48 (step @p197 :rule refl :args (@t188)) % 166.17/166.48 (step @p198 :rule nary_cong :premises (@p197 @p196) :args (@t189)) % 166.17/166.48 (step @p199 :rule cong :premises (@p198) :args (@t190)) % 166.17/166.48 (step @p200 :rule cong :premises (@p199) :args (@t191)) % 166.17/166.48 (step @p201 :rule eq-symm :args (tptp.xi tptp.sz00)) % 166.17/166.48 (step @p202 :rule refl :args (@t193)) % 166.17/166.48 (step @p203 :rule nary_cong :premises (@p202 @p201 @p200) :args (@t194)) % 166.17/166.48 (step @p204 :rule refl :args (@t195)) % 166.17/166.48 (step @p205 :rule cong :premises (@p204 @p203) :args ((=> @t195 @t194))) % 166.17/166.48 (assume-push @p674 @t195) % 166.17/166.48 (step @p207 :rule instantiate :premises (@p194) :args ((@list tptp.xi))) % 166.17/166.48 (step-pop @p675 :rule scope :premises (@p207)) % 166.17/166.48 (step @p208 :rule process_scope :premises (@p675) :args (@t194)) % 166.17/166.48 (step @p210 :rule eq_resolve :premises (@p208 @p205)) % 166.17/166.48 (step @p211 :rule implies_elim :premises (@p210)) % 166.17/166.48 (step @p212 :rule chain_m_resolution :premises (@p211 @p194) :args (@t199 @t200 (@list @t195))) % 166.17/166.48 (step @p213 :rule refl :args (tptp.xi)) % 166.17/166.48 (step @p214 :rule cong :premises (@p213 @p111) :args (@t130)) % 166.17/166.48 (step @p215 :rule eq_resolve :premises (@p81 @p214)) % 166.17/166.48 (step @p216 :rule refl :args (@t135)) % 166.17/166.48 (step @p217 :rule refl :args (@t134)) % 166.17/166.48 (step @p218 :rule cong :premises (@p217 @p111) :args (@t136)) % 166.17/166.48 (step @p219 :rule refl :args (@t170)) % 166.17/166.48 (step @p220 :rule nary_cong :premises (@p125 @p219) :args (@t201)) % 166.17/166.48 (step @p221 :rule cong :premises (@p220) :args (@t202)) % 166.17/166.48 (step @p222 :rule cong :premises (@p221) :args (@t203)) % 166.17/166.48 (step @p223 :rule nary_cong :premises (@p222 @p218 @p216) :args (@t204)) % 166.17/166.48 (step @p224 :rule refl :args (@t205)) % 166.17/166.48 (step @p225 :rule cong :premises (@p224 @p223) :args (@t206)) % 166.17/166.48 (step @p226 :rule cong :premises (@p225) :args ((not @t206))) % 166.17/166.48 (step @p227 :rule refl :args (@t136)) % 166.17/166.48 (step @p228 :rule bool-and-de-morgan :args (@t66 @t137 true)) % 166.17/166.48 (step @p229 :rule cong :premises (@p228) :args (@t207)) % 166.17/166.48 (step @p230 :rule cong :premises (@p229) :args (@t208)) % 166.17/166.48 (step @p231 :rule exists-elim :args ((= @t139 @t208))) % 166.17/166.48 (step @p232 :rule trans :premises (@p231 @p230)) % 166.17/166.48 (step @p233 :rule nary_cong :premises (@p232 @p227 @p216) :args (@t140)) % 166.17/166.48 (step @p234 :rule cong :premises (@p201) :args (@t142)) % 166.17/166.48 (step @p235 :rule cong :premises (@p234 @p233) :args (@t143)) % 166.17/166.48 (step @p236 :rule cong :premises (@p235) :args (@t144)) % 166.17/166.48 (step @p237 :rule trans :premises (@p236 @p226)) % 166.17/166.48 (step @p238 :rule eq_resolve :premises (@p83 @p237)) % 166.17/166.48 (step @p239 :rule not_implies_elim1 :premises (@p238)) % 166.17/166.48 (step @p240 :rule cnf_or_pos :args (@t199)) % 166.17/166.48 (step @p241 :rule reordering :premises (@p240) :args ((or @t198 @t193 @t197 (not @t199)))) % 166.17/166.48 (step @p242 :rule chain_m_resolution :premises (@p241 @p239 @p215 @p212) :args (@t197 (@list true false false) (@list @t198 @t192 @t199))) % 166.17/166.48 (step @p243 :rule alpha_equiv :args (@t172 (@list @t1) @t152)) % 166.17/166.48 (step @p244 :rule equiv_elim1 :premises (@p243)) % 166.17/166.48 (step @p245 :rule chain_m_resolution :premises (@p244 @p242) :args (@t209 @t210 (@list @t196))) % 166.17/166.48 (step @p246 :rule refl :args (@t217)) % 166.17/166.48 (step @p247 :rule bool-double-not-elim :args (@t172)) % 166.17/166.48 (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or @t218 @t217))) % 166.17/166.48 (step @p249 :rule eq-symm :args (@t211 tptp.xi)) % 166.17/166.48 (step @p250 :rule cong :premises (@p249) :args (@t219)) % 166.17/166.48 (step @p251 :rule refl :args (@t215)) % 166.17/166.48 (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t220)) % 166.17/166.48 (step @p253 :rule cong :premises (@p252) :args (@t221)) % 166.17/166.48 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@p506)) % 166.17/166.48 (step @p508 :rule refl :args (@t333)) % 166.17/166.48 (step @p509 :rule bool-double-not-elim :args (@t330)) % 166.17/166.48 (step @p510 :rule refl :args (@t335)) % 166.17/166.48 (step @p511 :rule nary_cong :premises (@p510 @p509 @p508) :args ((or @t335 (not @t331) @t333))) % 166.17/166.48 (assume-push @p682 @t334) % 166.17/166.48 (assume-push @p683 @t321) % 166.17/166.48 (assume-push @p684 @t331) % 166.17/166.48 (step @p515 :rule evaluate :args ((= false true))) % 166.17/166.48 (step @p516 :rule true_intro :premises (@p507)) % 166.17/166.48 (step @p517 :rule symm :premises (@p683)) % 166.17/166.48 (step @p518 :rule cong :premises (@p517) :args (@t330)) % 166.17/166.48 (step @p519 :rule false_intro :premises (@p505)) % 166.17/166.48 (step @p520 :rule symm :premises (@p519)) % 166.17/166.48 (step @p521 :rule trans :premises (@p520 @p518 @p516)) % 166.17/166.48 (step @p522 false :rule eq_resolve :premises (@p521 @p515)) % 166.17/166.48 (step-pop @p685 :rule scope :premises (@p522)) % 166.17/166.48 (step-pop @p686 :rule scope :premises (@p685)) % 166.17/166.48 (step-pop @p687 :rule scope :premises (@p686)) % 166.17/166.48 (step @p523 :rule process_scope :premises (@p687) :args (false)) % 166.17/166.48 (assume-push @p688 @t334) % 166.17/166.48 (assume-push @p689 @t331) % 166.17/166.48 (assume-push @p690 @t321) % 166.17/166.48 (step @p530 :rule and_intro :premises (@p507 @p690 @p505)) % 166.17/166.48 (step-pop @p691 :rule scope :premises (@p530)) % 166.17/166.48 (step-pop @p692 :rule scope :premises (@p691)) % 166.17/166.48 (step-pop @p693 :rule scope :premises (@p692)) % 166.17/166.48 (step @p531 :rule process_scope :premises (@p693) :args (@t336)) % 166.17/166.48 (step @p535 :rule implies_elim :premises (@p531)) % 166.17/166.48 (step @p536 :rule resolution :premises (@p535 @p523) :args (true @t336)) % 166.17/166.48 (step @p537 :rule not_and :premises (@p536)) % 166.17/166.48 (step @p538 :rule eq_resolve :premises (@p537 @p511)) % 166.17/166.48 (step @p539 :rule chain_m_resolution :premises (@p538 @p507 @p505) :args (@t333 (@list false true) (@list @t334 @t330))) % 166.17/166.48 (step @p540 :rule cnf_or_pos :args (@t322)) % 166.17/166.48 (step @p541 :rule reordering :premises (@p540) :args ((or @t242 @t321 @t317 (not @t322)))) % 166.17/166.48 (step @p542 :rule chain_m_resolution :premises (@p541 @p293 @p539 @p482) :args (@t317 (@list false true false) (@list @t228 @t321 @t322))) % 166.17/166.48 (step @p543 :rule cnf_and_pos :args (@t317 0)) % 166.17/166.48 (step @p544 :rule reordering :premises (@p543) :args ((or @t316 (not @t317)))) % 166.17/166.48 (step @p545 :rule chain_m_resolution :premises (@p544 @p542) :args (@t316 @t200 (@list @t317))) % 166.17/166.48 (step @p546 :rule cnf_or_pos :args (@t338)) % 166.17/166.48 (step @p547 :rule reordering :premises (@p546) :args ((or @t282 @t337 @t279 (not @t338)))) % 166.17/166.48 (step @p548 :rule chain_m_resolution :premises (@p547 @p502 @p545 @p413) :args (@t279 @t232 (@list @t281 @t316 @t338))) % 166.17/166.48 (step @p549 :rule cnf_or_pos :args (@t285)) % 166.17/166.48 (step @p550 :rule reordering :premises (@p549) :args ((or @t282 @t280 @t272 (not @t285)))) % 166.17/166.48 (step @p551 :rule chain_m_resolution :premises (@p550 @p502 @p548 @p392) :args (@t272 @t232 (@list @t281 @t279 @t285))) % 166.17/166.48 (step @p552 :rule cnf_and_pos :args (@t272 0)) % 166.17/166.48 (step @p553 :rule reordering :premises (@p552) :args ((or @t271 @t339))) % 166.17/166.48 (step @p554 :rule chain_m_resolution :premises (@p553 @p551) :args (@t271 @t200 @t340)) % 166.17/166.48 (step @p555 :rule cnf_or_pos :args (@t346)) % 166.17/166.48 (step @p556 :rule reordering :premises (@p555) :args ((or @t345 @t344 (not @t346)))) % 166.17/166.48 (step @p557 :rule chain_m_resolution :premises (@p556 @p554 @p316) :args (@t344 @t164 (@list @t271 @t346))) % 166.17/166.48 (step @p558 :rule cnf_and_pos :args (@t240 0)) % 166.17/166.48 (step @p559 :rule reordering :premises (@p558) :args ((or @t239 @t244))) % 166.17/166.48 (step @p560 :rule chain_m_resolution :premises (@p559 @p296) :args (@t239 @t200 @t245)) % 166.17/166.48 (step @p561 :rule cnf_equiv_pos1 :args (@t344)) % 166.17/166.48 (step @p562 :rule reordering :premises (@p561) :args ((or (not @t239) @t343 (not @t344)))) % 166.17/166.48 (step @p563 :rule chain_m_resolution :premises (@p562 @p560 @p557) :args (@t343 @t164 (@list @t239 @t344))) % 166.17/166.48 (step @p564 :rule cnf_and_pos :args (@t343 0)) % 166.17/166.48 (step @p565 :rule reordering :premises (@p564) :args ((or @t342 @t347))) % 166.17/166.48 (step @p566 :rule chain_m_resolution :premises (@p565 @p563) :args (@t342 @t200 (@list @t343))) % 166.17/166.48 (assume-push @p694 @t212) % 166.17/166.48 (assume-push @p695 @t342) % 166.17/166.48 (assume-push @p696 @t342) % 166.17/166.48 (assume-push @p697 @t212) % 166.17/166.48 (step @p571 :rule true_intro :premises (@p695)) % 166.17/166.48 (step @p572 :rule cong :premises (@p302) :args (@t157)) % 166.17/166.48 (step @p573 :rule trans :premises (@p572 @p571)) % 166.17/166.48 (step @p574 :rule true_elim :premises (@p573)) % 166.17/166.48 (step-pop @p698 :rule scope :premises (@p574)) % 166.17/166.48 (step-pop @p699 :rule scope :premises (@p698)) % 166.17/166.48 (step @p575 :rule process_scope :premises (@p699) :args (@t157)) % 166.17/166.48 (step @p578 :rule and_intro :premises (@p695 @p280)) % 166.17/166.48 (step @p579 :rule modus_ponens :premises (@p578 @p575)) % 166.17/166.48 (step-pop @p700 :rule scope :premises (@p579)) % 166.17/166.48 (step-pop @p701 :rule scope :premises (@p700)) % 166.17/166.48 (step @p580 :rule process_scope :premises (@p701) :args (@t157)) % 166.17/166.48 (step @p583 :rule implies_elim :premises (@p580)) % 166.17/166.48 (step @p584 :rule cnf_and_neg :args (@t348)) % 166.17/166.48 (step @p585 :rule resolution :premises (@p584 @p583) :args (true @t348)) % 166.17/166.48 (step @p586 :rule reordering :premises (@p585) :args ((or @t213 @t157 (not @t342)))) % 166.17/166.48 (step @p587 :rule chain_m_resolution :premises (@p586 @p280 @p566) :args (@t157 @t164 (@list @t212 @t342))) % 166.17/166.48 (step @p588 :rule cnf_and_pos :args (@t325 1)) % 166.17/166.48 (step @p589 :rule reordering :premises (@p588) :args ((or @t324 @t328))) % 166.17/166.48 (step @p590 :rule chain_m_resolution :premises (@p589 @p499) :args (@t324 @t200 @t329)) % 166.17/166.48 (step @p591 :rule instantiate :premises (@p590) :args (@t350)) % 166.17/166.48 (step @p592 :rule cnf_and_pos :args (@t272 1)) % 166.17/166.48 (step @p593 :rule reordering :premises (@p592) :args ((or @t270 @t339))) % 166.17/166.48 (step @p594 :rule eq-symm :args (@t349 @t237)) % 166.17/166.48 (step @p595 :rule cong :premises (@p594) :args (@t351)) % 166.17/166.48 (step @p596 :rule refl :args (@t352)) % 166.17/166.48 (step @p597 :rule refl :args (@t353)) % 166.17/166.48 (step @p598 :rule nary_cong :premises (@p597 @p596 @p595) :args (@t354)) % 166.17/166.48 (step @p599 :rule refl :args (@t355)) % 166.17/166.48 (step @p600 :rule cong :premises (@p599 @p598) :args (@t356)) % 166.17/166.48 (step @p601 :rule refl :args (@t270)) % 166.17/166.48 (step @p602 :rule cong :premises (@p601 @p600) :args ((=> @t270 @t356))) % 166.17/166.48 (assume-push @p702 @t270) % 166.17/166.48 (step @p604 :rule instantiate :premises (@p702) :args (@t350)) % 166.17/166.48 (step-pop @p703 :rule scope :premises (@p604)) % 166.17/166.48 (step @p605 :rule process_scope :premises (@p703) :args (@t356)) % 166.17/166.48 (step @p607 :rule eq_resolve :premises (@p605 @p602)) % 166.17/166.48 (step @p608 :rule implies_elim :premises (@p607)) % 166.17/166.48 (step @p609 :rule cnf_equiv_pos1 :args (@t358)) % 166.17/166.48 (step @p610 :rule reordering :premises (@p609) :args ((or @t357 (not @t355) (not @t358)))) % 166.17/166.48 (step @p611 :rule cnf_and_pos :args (@t343 1)) % 166.17/166.48 (step @p612 :rule reordering :premises (@p611) :args ((or @t341 @t347))) % 166.17/166.48 (assume-push @p704 @t341) % 166.17/166.48 (step @p614 :rule instantiate :premises (@p704) :args (@t350)) % 166.17/166.48 (step-pop @p705 :rule scope :premises (@p614)) % 166.17/166.48 (step @p615 :rule process_scope :premises (@p705) :args (@t361)) % 166.17/166.48 (step @p617 :rule implies_elim :premises (@p615)) % 166.17/166.48 (step @p618 :rule cnf_or_pos :args (@t361)) % 166.17/166.48 (step @p619 :rule reordering :premises (@p618) :args ((or @t360 @t355 (not @t361)))) % 166.17/166.48 (step @p620 :rule refl :args (@t363)) % 166.17/166.48 (step @p621 :rule bool-double-not-elim :args (@t359)) % 166.17/166.48 (step @p622 :rule refl :args (@t213)) % 166.17/166.48 (step @p623 :rule nary_cong :premises (@p622 @p621 @p620) :args ((or @t213 (not @t360) @t363))) % 166.17/166.48 (assume-push @p706 @t212) % 166.17/166.48 (assume-push @p707 @t360) % 166.17/166.48 (assume-push @p708 @t360) % 166.17/166.48 (assume-push @p709 @t212) % 166.17/166.48 (step @p628 :rule false_intro :premises (@p707)) % 166.17/166.48 (step @p629 :rule refl :args (@t349)) % 166.17/166.48 (step @p630 :rule cong :premises (@p629 @p302) :args (@t362)) % 166.17/166.48 (step @p631 :rule trans :premises (@p630 @p628)) % 166.17/166.48 (step @p632 :rule false_elim :premises (@p631)) % 166.17/166.48 (step-pop @p710 :rule scope :premises (@p632)) % 166.17/166.48 (step-pop @p711 :rule scope :premises (@p710)) % 166.17/166.48 (step @p633 :rule process_scope :premises (@p711) :args (@t363)) % 166.17/166.48 (step @p636 :rule and_intro :premises (@p707 @p280)) % 166.17/166.48 (step @p637 :rule modus_ponens :premises (@p636 @p633)) % 166.17/166.48 (step-pop @p712 :rule scope :premises (@p637)) % 166.17/166.48 (step-pop @p713 :rule scope :premises (@p712)) % 166.17/166.48 (step @p638 :rule process_scope :premises (@p713) :args (@t363)) % 166.17/166.48 (step @p641 :rule implies_elim :premises (@p638)) % 166.17/166.48 (step @p642 :rule cnf_and_neg :args (@t364)) % 166.17/166.48 (step @p643 :rule resolution :premises (@p642 @p641) :args (true @t364)) % 166.17/166.48 (step @p644 :rule eq_resolve :premises (@p643 @p623)) % 166.17/166.48 (step @p645 :rule reordering :premises (@p644) :args ((or @t213 @t363 @t359))) % 166.17/166.49 (step @p646 :rule cnf_and_neg :args (@t158)) % 166.17/166.49 (step @p647 :rule bool-double-not-elim :args (@t362)) % 166.17/166.49 (step @p648 :rule refl :args (@t366)) % 166.17/166.49 (step @p649 :rule nary_cong :premises (@p648 @p647) :args ((or @t366 (not @t363)))) % 166.17/166.49 (step @p650 :rule cnf_or_neg :args (@t366 0)) % 166.17/166.49 (step @p651 :rule eq_resolve :premises (@p650 @p649)) % 166.17/166.49 (step @p652 :rule reordering :premises (@p651) :args ((or @t362 @t366))) % 166.17/166.49 (step @p653 :rule refl :args (@t367)) % 166.17/166.49 (step @p654 :rule bool-double-not-elim :args (@t156)) % 166.17/166.49 (step @p655 :rule nary_cong :premises (@p654 @p653) :args ((or (not @t368) @t367))) % 166.17/166.49 (assume-push @p714 @t368) % 166.17/166.49 (step @p657 :rule skolemize :premises (@p714)) % 166.17/166.49 (step-pop @p715 :rule scope :premises (@p657)) % 166.17/166.49 (step @p658 :rule process_scope :premises (@p715) :args (@t367)) % 166.17/166.49 (step @p660 :rule implies_elim :premises (@p658)) % 166.17/166.49 (step @p661 :rule eq_resolve :premises (@p660 @p655)) % 166.17/166.49 (step @p662 :rule chain_m_resolution :premises (@p661 @p652 @p646 @p315 @p645 @p280 @p586 @p280 @p619 @p617 @p612 @p565 @p610 @p562 @p560 @p608 @p556 @p316 @p593 @p553) :args ((or @t339 @t357) (@list false true true true false false false true false false false true false false false false false false false) (@list @t366 @t156 @t158 @t362 @t212 @t157 @t212 @t359 @t361 @t341 @t342 @t355 @t343 @t239 @t358 @t344 @t346 @t270 @t271))) % 166.17/166.49 (step @p663 :rule chain_m_resolution :premises (@p662 @p551) :args (@t357 @t200 @t340)) % 166.17/166.49 (step @p664 :rule cnf_and_pos :args (@t357 1)) % 166.17/166.49 (step @p665 :rule reordering :premises (@p664) :args ((or @t352 (not @t357)))) % 166.17/166.49 (step @p666 :rule chain_m_resolution :premises (@p665 @p663) :args (@t352 @t200 (@list @t357))) % 166.17/166.49 (step @p667 :rule cnf_or_pos :args (@t370)) % 166.17/166.49 (step @p668 :rule reordering :premises (@p667) :args ((or @t365 @t369 (not @t370)))) % 166.17/166.49 (step @p669 :rule chain_m_resolution :premises (@p668 @p666 @p591) :args (@t365 @t164 (@list @t352 @t370))) % 166.17/166.49 (step @p670 :rule cnf_or_neg :args (@t366 1)) % 166.17/166.49 (step @p671 :rule chain_m_resolution :premises (@p670 @p669) :args (@t366 @t200 (@list @t365))) % 166.17/166.49 (step @p672 :rule chain_m_resolution :premises (@p661 @p671) :args (@t156 @t200 (@list @t366))) % 166.17/166.49 (step @p673 false :rule chain_m_resolution :premises (@p646 @p672 @p587 @p315) :args (false (@list false false true) (@list @t156 @t157 @t158))) % 166.17/166.49 ) % 166.17/166.49 % SZS output end Proof % 166.17/166.49 % cvc5 exiting %------------------------------------------------------------------------------