%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM590+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:56 AM UTC 2026 % Result : Theorem 35.33s 35.53s % Output : Proof 35.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM590+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 % 0.14/0.34 % Computer : n002.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 11:33:48 EDT 2026 % 0.14/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 35.33/35.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.33/35.53 --- Run --no-e-matching --full-saturate-quant at 6... % 35.33/35.53 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.33/35.53 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.33/35.53 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.33/35.53 % SZS status Theorem % 35.33/35.53 % SZS output start Proof % 35.33/35.53 ( % 35.33/35.53 (declare-sort $$unsorted 0) % 35.33/35.53 (declare-const tptp.xC $$unsorted) % 35.33/35.53 (declare-const tptp.xN $$unsorted) % 35.33/35.53 (declare-const tptp.sz00 $$unsorted) % 35.33/35.53 (declare-const tptp.xc $$unsorted) % 35.33/35.53 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.szNzAzT0 $$unsorted) % 35.33/35.53 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.xk $$unsorted) % 35.33/35.53 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.xi $$unsorted) % 35.33/35.53 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.xd $$unsorted) % 35.33/35.53 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.xK $$unsorted) % 35.33/35.53 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.xT $$unsorted) % 35.33/35.53 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.xS $$unsorted) % 35.33/35.53 (declare-const tptp.xY $$unsorted) % 35.33/35.53 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.slcrc0 $$unsorted) % 35.33/35.53 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 35.33/35.53 (define @t1 () (@var "W0" $$unsorted)) % 35.33/35.53 (define @t2 () (tptp.aSet0 @t1)) % 35.33/35.53 (define @t3 () (@list @t1)) % 35.33/35.53 (define @t4 () (tptp.aElement0 @t1)) % 35.33/35.53 (define @t5 () (@var "W1" $$unsorted)) % 35.33/35.53 (define @t6 () (tptp.aElement0 @t5)) % 35.33/35.53 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 35.33/35.53 (define @t8 () (@list @t5)) % 35.33/35.53 (define @t9 () (forall @t8 (=> @t7 @t6))) % 35.33/35.53 (define @t10 () (=> @t2 @t9)) % 35.33/35.53 (define @t11 () (forall @t3 @t10)) % 35.33/35.53 (define @t12 () (tptp.isFinite0 @t1)) % 35.33/35.53 (define @t13 () (= @t1 tptp.slcrc0)) % 35.33/35.53 (define @t14 () (tptp.isFinite0 tptp.slcrc0)) % 35.33/35.53 (define @t15 () (tptp.isCountable0 @t1)) % 35.33/35.53 (define @t16 () (not @t12)) % 35.33/35.53 (define @t17 () (and @t2 @t15)) % 35.33/35.53 (define @t18 () (forall @t3 (=> @t17 @t16))) % 35.33/35.53 (define @t19 () (not @t13)) % 35.33/35.53 (define @t20 () (@var "W2" $$unsorted)) % 35.33/35.53 (define @t21 () (tptp.aElementOf0 @t20 @t1)) % 35.33/35.53 (define @t22 () (tptp.aElementOf0 @t20 @t5)) % 35.33/35.53 (define @t23 () (@list @t20)) % 35.33/35.53 (define @t24 () (forall @t23 (=> @t22 @t21))) % 35.33/35.53 (define @t25 () (tptp.aSet0 @t5)) % 35.33/35.53 (define @t26 () (and @t25 @t24)) % 35.33/35.53 (define @t27 () (tptp.aSubsetOf0 @t5 @t1)) % 35.33/35.53 (define @t28 () (= @t27 @t26)) % 35.33/35.53 (define @t29 () (forall @t8 @t28)) % 35.33/35.53 (define @t30 () (=> @t2 @t29)) % 35.33/35.53 (define @t31 () (forall @t3 @t30)) % 35.33/35.53 (define @t32 () (tptp.isFinite0 @t5)) % 35.33/35.53 (define @t33 () (and @t2 @t12)) % 35.33/35.53 (define @t34 () (= @t1 @t5)) % 35.33/35.53 (define @t35 () (tptp.aSubsetOf0 @t1 @t5)) % 35.33/35.53 (define @t36 () (@list @t1 @t5)) % 35.33/35.53 (define @t37 () (tptp.aSubsetOf0 @t1 @t20)) % 35.33/35.53 (define @t38 () (tptp.aSubsetOf0 @t5 @t20)) % 35.33/35.53 (define @t39 () (and @t35 @t38)) % 35.33/35.53 (define @t40 () (=> @t39 @t37)) % 35.33/35.53 (define @t41 () (tptp.aSet0 @t20)) % 35.33/35.53 (define @t42 () (and @t2 @t25 @t41)) % 35.33/35.53 (define @t43 () (@list @t1 @t5 @t20)) % 35.33/35.53 (define @t44 () (forall @t43 (=> @t42 @t40))) % 35.33/35.53 (define @t45 () (@var "W3" $$unsorted)) % 35.33/35.53 (define @t46 () (= @t45 @t5)) % 35.33/35.53 (define @t47 () (tptp.aElementOf0 @t45 @t1)) % 35.33/35.53 (define @t48 () (tptp.aElement0 @t45)) % 35.33/35.53 (define @t49 () (tptp.aElementOf0 @t45 @t20)) % 35.33/35.53 (define @t50 () (@list @t45)) % 35.33/35.53 (define @t51 () (tptp.sdtpldt0 @t1 @t5)) % 35.33/35.53 (define @t52 () (and @t2 @t6)) % 35.33/35.53 (define @t53 () (not @t46)) % 35.33/35.53 (define @t54 () (and @t48 @t47 @t53)) % 35.33/35.53 (define @t55 () (= @t49 @t54)) % 35.33/35.53 (define @t56 () (forall @t50 @t55)) % 35.33/35.53 (define @t57 () (and @t41 @t56)) % 35.33/35.53 (define @t58 () (tptp.sdtmndt0 @t1 @t5)) % 35.33/35.53 (define @t59 () (= @t20 @t58)) % 35.33/35.53 (define @t60 () (= @t59 @t57)) % 35.33/35.53 (define @t61 () (forall @t23 @t60)) % 35.33/35.53 (define @t62 () (=> @t52 @t61)) % 35.33/35.53 (define @t63 () (forall @t36 @t62)) % 35.33/35.53 (define @t64 () (tptp.sdtpldt0 @t5 @t1)) % 35.33/35.53 (define @t65 () (tptp.isCountable0 @t5)) % 35.33/35.53 (define @t66 () (and @t25 @t65)) % 35.33/35.53 (define @t67 () (tptp.sdtmndt0 @t5 @t1)) % 35.33/35.53 (define @t68 () (and @t25 @t32)) % 35.33/35.53 (define @t69 () (tptp.aSet0 tptp.szNzAzT0)) % 35.33/35.53 (define @t70 () (tptp.szszuzczcdt0 @t1)) % 35.33/35.53 (define @t71 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 35.33/35.53 (define @t72 () (tptp.szszuzczcdt0 @t5)) % 35.33/35.53 (define @t73 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 35.33/35.53 (define @t74 () (and @t71 @t73)) % 35.33/35.53 (define @t75 () (= @t1 tptp.sz00)) % 35.33/35.53 (define @t76 () (tptp.sdtlseqdt0 @t1 @t5)) % 35.33/35.53 (define @t77 () (tptp.sdtlseqdt0 @t5 @t1)) % 35.33/35.53 (define @t78 () (tptp.sdtlseqdt0 @t5 @t20)) % 35.33/35.53 (define @t79 () (tptp.aElementOf0 @t20 tptp.szNzAzT0)) % 35.33/35.53 (define @t80 () (tptp.sbrdtbr0 @t1)) % 35.33/35.53 (define @t81 () (not @t7)) % 35.33/35.53 (define @t82 () (and @t2 @t73)) % 35.33/35.53 (define @t83 () (forall @t23 (=> @t21 @t78))) % 35.33/35.53 (define @t84 () (and @t7 @t83)) % 35.33/35.53 (define @t85 () (tptp.szmzizndt0 @t1)) % 35.33/35.53 (define @t86 () (= @t5 @t85)) % 35.33/35.53 (define @t87 () (= @t86 @t84)) % 35.33/35.53 (define @t88 () (forall @t8 @t87)) % 35.33/35.53 (define @t89 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 35.33/35.53 (define @t90 () (and @t89 @t19)) % 35.33/35.53 (define @t91 () (=> @t90 @t88)) % 35.33/35.53 (define @t92 () (forall @t3 @t91)) % 35.33/35.53 (define @t93 () (tptp.szmzizndt0 @t5)) % 35.33/35.53 (define @t94 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 35.33/35.53 (define @t95 () (tptp.slbdtrb0 @t1)) % 35.33/35.53 (define @t96 () (tptp.slbdtrb0 tptp.sz00)) % 35.33/35.53 (define @t97 () (tptp.slbdtrb0 @t5)) % 35.33/35.53 (define @t98 () (tptp.aSubsetOf0 @t45 @t1)) % 35.33/35.53 (define @t99 () (tptp.slbdtsldtrb0 @t1 @t5)) % 35.33/35.53 (define @t100 () (tptp.slbdtsldtrb0 @t5 @t1)) % 35.33/35.53 (define @t101 () (tptp.aFunction0 @t1)) % 35.33/35.53 (define @t102 () (tptp.szDzozmdt0 @t1)) % 35.33/35.53 (define @t103 () (tptp.sdtlpdtrp0 @t1 @t5)) % 35.33/35.53 (define @t104 () (tptp.aElementOf0 @t5 @t102)) % 35.33/35.53 (define @t105 () (tptp.sdtlpdtrp0 @t1 @t45)) % 35.33/35.53 (define @t106 () (tptp.aElementOf0 @t45 @t102)) % 35.33/35.53 (define @t107 () (tptp.sdtlbdtrb0 @t1 @t5)) % 35.33/35.53 (define @t108 () (and @t101 @t6)) % 35.33/35.53 (define @t109 () (@var "W4" $$unsorted)) % 35.33/35.53 (define @t110 () (@list @t109)) % 35.33/35.53 (define @t111 () (tptp.sdtlcdtrc0 @t1 @t5)) % 35.33/35.53 (define @t112 () (tptp.aSubsetOf0 @t5 @t102)) % 35.33/35.53 (define @t113 () (tptp.sdtlcdtrc0 @t1 @t102)) % 35.33/35.53 (define @t114 () (tptp.szDzozmdt0 @t20)) % 35.33/35.53 (define @t115 () (tptp.aFunction0 @t20)) % 35.33/35.53 (define @t116 () (tptp.szDzizrdt0 @t1)) % 35.33/35.53 (define @t117 () (tptp.szDzozmdt0 tptp.xc)) % 35.33/35.53 (define @t118 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 35.33/35.53 (define @t119 () (@var "W5" $$unsorted)) % 35.33/35.53 (define @t120 () (tptp.sdtlpdtrp0 tptp.xN @t70)) % 35.33/35.53 (define @t121 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 35.33/35.53 (define @t122 () (tptp.szmzizndt0 @t121)) % 35.33/35.53 (define @t123 () (tptp.sdtmndt0 @t121 @t122)) % 35.33/35.53 (define @t124 () (tptp.isCountable0 @t121)) % 35.33/35.53 (define @t125 () (tptp.aSubsetOf0 @t121 tptp.szNzAzT0)) % 35.33/35.53 (define @t126 () (and @t125 @t124)) % 35.33/35.53 (define @t127 () (tptp.szDzozmdt0 tptp.xN)) % 35.33/35.53 (define @t128 () (forall @t3 (=> @t71 @t126))) % 35.33/35.53 (define @t129 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 35.33/35.53 (define @t130 () (tptp.sdtpldt0 @t5 @t122)) % 35.33/35.53 (define @t131 () (tptp.slbdtsldtrb0 @t123 tptp.xk)) % 35.33/35.53 (define @t132 () (and @t25 (tptp.aElementOf0 @t5 @t131))) % 35.33/35.53 (define @t133 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 35.33/35.53 (define @t134 () (tptp.szDzozmdt0 @t133)) % 35.33/35.53 (define @t135 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 35.33/35.53 (define @t136 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 35.33/35.53 (define @t137 () (tptp.szmzizndt0 @t136)) % 35.33/35.53 (define @t138 () (tptp.sdtmndt0 @t136 @t137)) % 35.33/35.53 (define @t139 () (tptp.aSubsetOf0 tptp.xY tptp.szNzAzT0)) % 35.33/35.53 (define @t140 () (not @t139)) % 35.33/35.53 (define @t141 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 35.33/35.53 (define @t142 () (= (tptp.aSubsetOf0 @t141 @t1) (and (tptp.aSet0 @t141) (forall @t23 (or (not (tptp.aElementOf0 @t20 @t141)) @t21))))) % 35.33/35.53 (define @t143 () (not @t2)) % 35.33/35.53 (define @t144 () (or @t143 @t142)) % 35.33/35.53 (define @t145 () (@list @t141)) % 35.33/35.53 (define @t146 () (forall @t145 @t144)) % 35.33/35.53 (define @t147 () (forall @t145 @t142)) % 35.33/35.53 (define @t148 () (@list @t5)) % 35.33/35.53 (define @t149 () (or @t143 @t147)) % 35.33/35.53 (define @t150 () (forall @t8 (= @t27 (and @t25 (forall @t23 (or (not @t22) @t21)))))) % 35.33/35.53 (define @t151 () (tptp.aElementOf0 @t20 @t136)) % 35.33/35.53 (define @t152 () (not @t151)) % 35.33/35.53 (define @t153 () (tptp.aSet0 @t136)) % 35.33/35.53 (define @t154 () (and @t153 (forall @t23 (or @t152 (tptp.aElementOf0 @t20 @t127))))) % 35.33/35.53 (define @t155 () (tptp.aSubsetOf0 @t136 @t127)) % 35.33/35.53 (define @t156 () (= @t155 @t154)) % 35.33/35.53 (define @t157 () (tptp.aSet0 @t127)) % 35.33/35.53 (define @t158 () (not @t157)) % 35.33/35.53 (define @t159 () (or @t158 @t156)) % 35.33/35.53 (define @t160 () (@list false false)) % 35.33/35.53 (define @t161 () (not @t71)) % 35.33/35.53 (define @t162 () (or @t161 @t126)) % 35.33/35.53 (define @t163 () (tptp.isCountable0 @t136)) % 35.33/35.53 (define @t164 () (and @t155 @t163)) % 35.33/35.53 (define @t165 () (tptp.aElementOf0 tptp.xi @t127)) % 35.33/35.53 (define @t166 () (not @t165)) % 35.33/35.53 (define @t167 () (or @t166 @t164)) % 35.33/35.53 (define @t168 () (not @t164)) % 35.33/35.53 (define @t169 () (@list false)) % 35.33/35.53 (define @t170 () (@list @t164)) % 35.33/35.53 (define @t171 () (not @t155)) % 35.33/35.53 (define @t172 () (forall @t23 (or (not (tptp.aElementOf0 @t20 @t138)) @t151))) % 35.33/35.53 (define @t173 () (tptp.aSet0 @t138)) % 35.33/35.53 (define @t174 () (and @t173 @t172)) % 35.33/35.53 (define @t175 () (tptp.aSubsetOf0 @t138 @t136)) % 35.33/35.53 (define @t176 () (= @t175 @t174)) % 35.33/35.53 (define @t177 () (not @t153)) % 35.33/35.53 (define @t178 () (or @t177 @t176)) % 35.33/35.53 (define @t179 () (not @t38)) % 35.33/35.53 (define @t180 () (not @t35)) % 35.33/35.53 (define @t181 () (not @t41)) % 35.33/35.53 (define @t182 () (not @t25)) % 35.33/35.53 (define @t183 () (or @t180 @t179 @t37)) % 35.33/35.53 (define @t184 () (or @t143 @t182 @t181)) % 35.33/35.53 (define @t185 () (@var "BOUND_VARIABLE_8251" $$unsorted)) % 35.33/35.53 (define @t186 () (tptp.aElementOf0 @t45 @t185)) % 35.33/35.53 (define @t187 () (and @t48 @t47 (not (= @t5 @t45)))) % 35.33/35.53 (define @t188 () (forall @t50 (= @t186 @t187))) % 35.33/35.53 (define @t189 () (tptp.aSet0 @t185)) % 35.33/35.53 (define @t190 () (and @t189 @t188)) % 35.33/35.53 (define @t191 () (= (= @t185 @t58) @t190)) % 35.33/35.53 (define @t192 () (not @t6)) % 35.33/35.53 (define @t193 () (or @t143 @t192 @t191)) % 35.33/35.53 (define @t194 () (@list @t1 @t5 @t185)) % 35.33/35.53 (define @t195 () (forall @t194 @t193)) % 35.33/35.53 (define @t196 () (@list @t185)) % 35.33/35.53 (define @t197 () (forall @t196 @t193)) % 35.33/35.53 (define @t198 () (forall @t196 @t191)) % 35.33/35.53 (define @t199 () (or @t143 @t192 @t198)) % 35.33/35.53 (define @t200 () (forall @t23 (= @t59 (and @t41 (forall @t50 (= @t49 @t187)))))) % 35.33/35.53 (define @t201 () (or @t143 @t192 @t200)) % 35.33/35.53 (define @t202 () (tptp.aElementOf0 @t45 @t136)) % 35.33/35.53 (define @t203 () (tptp.aElementOf0 @t45 @t138)) % 35.33/35.53 (define @t204 () (forall @t50 (= @t203 (and @t48 @t202 (not (= @t45 @t137)))))) % 35.33/35.53 (define @t205 () (and @t173 @t204)) % 35.33/35.53 (define @t206 () (not (= @t137 @t45))) % 35.33/35.53 (define @t207 () (and @t48 @t202 @t206)) % 35.33/35.53 (define @t208 () (forall @t50 (= @t207 @t203))) % 35.33/35.53 (define @t209 () (and @t173 @t208)) % 35.33/35.53 (define @t210 () (= (= @t138 @t138) @t209)) % 35.33/35.53 (define @t211 () (tptp.aElement0 @t137)) % 35.33/35.53 (define @t212 () (not @t211)) % 35.33/35.53 (define @t213 () (or @t177 @t212 @t210)) % 35.33/35.53 (define @t214 () (forall @t194 (or @t143 @t192 (= (= @t58 @t185) (and @t189 (forall @t50 (= @t187 @t186))))))) % 35.33/35.53 (define @t215 () (or @t177 @t212 @t205)) % 35.33/35.53 (define @t216 () (@var "BOUND_VARIABLE_8098" $$unsorted)) % 35.33/35.53 (define @t217 () (tptp.aElement0 @t216)) % 35.33/35.53 (define @t218 () (not (tptp.aElementOf0 @t216 @t1))) % 35.33/35.53 (define @t219 () (or @t218 @t217)) % 35.33/35.53 (define @t220 () (or @t143 @t219)) % 35.33/35.53 (define @t221 () (forall (@list @t1 @t216) @t220)) % 35.33/35.53 (define @t222 () (@list @t216)) % 35.33/35.53 (define @t223 () (forall @t222 @t220)) % 35.33/35.53 (define @t224 () (forall @t222 @t219)) % 35.33/35.53 (define @t225 () (or @t143 @t224)) % 35.33/35.53 (define @t226 () (forall @t8 (or @t81 @t6))) % 35.33/35.53 (define @t227 () (@list @t136 @t137)) % 35.33/35.53 (define @t228 () (@var "BOUND_VARIABLE_8601" $$unsorted)) % 35.33/35.53 (define @t229 () (= @t85 @t228)) % 35.33/35.53 (define @t230 () (not @t21)) % 35.33/35.53 (define @t231 () (and (tptp.aElementOf0 @t228 @t1) (forall @t23 (or @t230 (tptp.sdtlseqdt0 @t228 @t20))))) % 35.33/35.53 (define @t232 () (= @t231 @t229)) % 35.33/35.53 (define @t233 () (not @t89)) % 35.33/35.53 (define @t234 () (or @t233 @t13 @t232)) % 35.33/35.53 (define @t235 () (@list @t1 @t228)) % 35.33/35.53 (define @t236 () (= (= @t228 @t85) @t231)) % 35.33/35.53 (define @t237 () (or @t233 @t13 @t236)) % 35.33/35.53 (define @t238 () (forall @t235 @t237)) % 35.33/35.53 (define @t239 () (@list @t228)) % 35.33/35.53 (define @t240 () (forall @t239 @t237)) % 35.33/35.53 (define @t241 () (forall @t239 @t236)) % 35.33/35.53 (define @t242 () (or @t233 @t13 @t241)) % 35.33/35.53 (define @t243 () (forall @t8 (= @t86 (and @t7 (forall @t23 (or @t230 @t78)))))) % 35.33/35.53 (define @t244 () (or @t233 @t13 @t243)) % 35.33/35.53 (define @t245 () (tptp.aElementOf0 @t137 @t136)) % 35.33/35.53 (define @t246 () (and @t245 (forall @t23 (or @t152 (tptp.sdtlseqdt0 @t137 @t20))))) % 35.33/35.53 (define @t247 () (= @t246 (= @t137 @t137))) % 35.33/35.53 (define @t248 () (or @t171 (= @t136 @t96) @t247)) % 35.33/35.53 (define @t249 () (forall @t235 (or (not (tptp.aSubsetOf0 @t1 @t127)) (= @t1 @t96) @t232))) % 35.33/35.53 (define @t250 () (= @t96 @t136)) % 35.33/35.53 (define @t251 () (or @t171 @t250 @t246)) % 35.33/35.53 (define @t252 () (not @t15)) % 35.33/35.53 (define @t253 () (tptp.isFinite0 @t136)) % 35.33/35.53 (define @t254 () (not @t253)) % 35.33/35.53 (define @t255 () (not @t163)) % 35.33/35.53 (define @t256 () (or @t177 @t255 @t254)) % 35.33/35.53 (define @t257 () (@list false false false)) % 35.33/35.53 (define @t258 () (not @t250)) % 35.33/35.53 (define @t259 () (tptp.isFinite0 @t96)) % 35.33/35.53 (define @t260 () (not @t259)) % 35.33/35.53 (define @t261 () (and @t259 @t250 @t254)) % 35.33/35.53 (define @t262 () (@list false true)) % 35.33/35.53 (define @t263 () (@list false true false)) % 35.33/35.53 (define @t264 () (not @t245)) % 35.33/35.53 (define @t265 () (or @t177 @t264 @t211)) % 35.33/35.53 (define @t266 () (not @t205)) % 35.33/35.53 (define @t267 () (@list @t205)) % 35.33/35.53 (define @t268 () (tptp.aSubsetOf0 @t138 @t127)) % 35.33/35.53 (define @t269 () (not @t175)) % 35.33/35.53 (define @t270 () (not @t173)) % 35.33/35.53 (define @t271 () (or @t270 @t177 @t158 @t269 @t171 @t268)) % 35.33/35.53 (define @t272 () (not @t174)) % 35.33/35.53 (define @t273 () (not @t172)) % 35.33/35.53 (define @t274 () (@quantifiers_skolemize @t172 0)) % 35.33/35.53 (define @t275 () (tptp.aElementOf0 @t274 @t136)) % 35.33/35.53 (define @t276 () (tptp.aElementOf0 @t274 @t138)) % 35.33/35.53 (define @t277 () (not @t276)) % 35.33/35.53 (define @t278 () (or @t277 @t275)) % 35.33/35.53 (define @t279 () (not @t278)) % 35.33/35.53 (define @t280 () (@list true)) % 35.33/35.53 (define @t281 () (@list @t278)) % 35.33/35.53 (define @t282 () (tptp.aElement0 @t274)) % 35.33/35.53 (define @t283 () (and @t282 @t275 (not (= @t137 @t274)))) % 35.33/35.53 (define @t284 () (not @t283)) % 35.33/35.53 (define @t285 () (not (= @t274 @t137))) % 35.33/35.53 (define @t286 () (and @t282 @t275 @t285)) % 35.33/35.53 (define @t287 () (= @t276 @t286)) % 35.33/35.53 (define @t288 () (= @t276 @t283)) % 35.33/35.53 (assume @p1 (forall @t3 (=> @t2 true))) % 35.33/35.53 (assume @p2 (forall @t3 (=> @t4 true))) % 35.33/35.53 (assume @p3 @t11) % 35.33/35.53 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 35.33/35.53 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 35.33/35.54 (assume @p6 @t14) % 35.33/35.54 (assume @p7 (forall @t3 (=> @t2 (=> @t15 true)))) % 35.33/35.54 (assume @p8 @t18) % 35.33/35.54 (assume @p9 (forall @t3 (=> @t17 @t19))) % 35.33/35.54 (assume @p10 @t31) % 35.33/35.54 (assume @p11 (forall @t3 (=> @t33 (forall @t8 (=> @t27 @t32))))) % 35.33/35.54 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 35.33/35.54 (assume @p13 (forall @t36 (=> (and @t2 @t25) (=> (and @t35 @t27) @t34)))) % 35.33/35.54 (assume @p14 @t44) % 35.33/35.54 (assume @p15 (forall @t36 (=> @t52 (forall @t23 (= (= @t20 @t51) (and @t41 (forall @t50 (= @t49 (and @t48 (or @t47 @t46)))))))))) % 35.33/35.54 (assume @p16 @t63) % 35.33/35.54 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t58 @t5) @t1)))))) % 35.33/35.54 (assume @p18 (forall @t36 (=> (and @t4 @t25) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t64 @t1) @t5))))) % 35.33/35.54 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t66 (tptp.isCountable0 @t64)))))) % 35.33/35.54 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t66 (tptp.isCountable0 @t67)))))) % 35.33/35.54 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t68 (tptp.isFinite0 @t64)))))) % 35.33/35.54 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t68 (tptp.isFinite0 @t67)))))) % 35.33/35.54 (assume @p23 (and @t69 (tptp.isCountable0 tptp.szNzAzT0))) % 35.33/35.54 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 35.33/35.54 (assume @p25 (forall @t3 (=> @t71 (and (tptp.aElementOf0 @t70 tptp.szNzAzT0) (not (= @t70 tptp.sz00)))))) % 35.33/35.54 (assume @p26 (forall @t36 (=> @t74 (=> (= @t70 @t72) @t34)))) % 35.33/35.54 (assume @p27 (forall @t3 (=> @t71 (or @t75 (exists @t8 (and @t73 (= @t1 @t72))))))) % 35.33/35.54 (assume @p28 (forall @t3 (=> @t71 (not (= @t1 @t70))))) % 35.33/35.54 (assume @p29 (forall @t36 (=> @t74 (=> @t76 true)))) % 35.33/35.54 (assume @p30 (forall @t3 (=> @t71 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 35.33/35.54 (assume @p31 (forall @t3 (=> @t71 (not (tptp.sdtlseqdt0 @t70 tptp.sz00))))) % 35.33/35.54 (assume @p32 (forall @t36 (=> @t74 (= @t76 (tptp.sdtlseqdt0 @t70 @t72))))) % 35.33/35.54 (assume @p33 (forall @t3 (=> @t71 (tptp.sdtlseqdt0 @t1 @t70)))) % 35.33/35.54 (assume @p34 (forall @t3 (=> @t71 (tptp.sdtlseqdt0 @t1 @t1)))) % 35.33/35.54 (assume @p35 (forall @t36 (=> @t74 (=> (and @t76 @t77) @t34)))) % 35.33/35.54 (assume @p36 (forall @t43 (=> (and @t71 @t73 @t79) (=> (and @t76 @t78) (tptp.sdtlseqdt0 @t1 @t20))))) % 35.33/35.54 (assume @p37 (forall @t36 (=> @t74 (or @t76 (tptp.sdtlseqdt0 @t72 @t1))))) % 35.33/35.54 (assume @p38 (forall @t36 (=> @t74 (=> (tptp.iLess0 @t1 @t5) true)))) % 35.33/35.54 (assume @p39 (forall @t3 (=> @t71 (tptp.iLess0 @t1 @t70)))) % 35.33/35.54 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t80)))) % 35.33/35.54 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t80 tptp.szNzAzT0) @t12)))) % 35.33/35.54 (assume @p42 (forall @t3 (=> @t2 (= (= @t80 tptp.sz00) @t13)))) % 35.33/35.54 (assume @p43 (forall @t3 (=> @t33 (forall @t8 (=> @t6 (=> @t81 (= (tptp.sbrdtbr0 @t51) (tptp.szszuzczcdt0 @t80)))))))) % 35.33/35.54 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t58)) @t80)))))) % 35.33/35.54 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t27) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t80)))))) % 35.33/35.54 (assume @p46 (forall @t36 (=> @t82 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t80)) (exists @t23 (and (tptp.aSubsetOf0 @t20 @t1) (= (tptp.sbrdtbr0 @t20) @t5))))))) % 35.33/35.54 (assume @p47 @t92) % 35.33/35.54 (assume @p48 (forall @t3 (=> (and @t89 @t12 @t19) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t23 (=> @t21 (tptp.sdtlseqdt0 @t20 @t5))))))))) % 35.33/35.54 (assume @p49 (forall @t36 (=> (and @t89 @t94 @t19 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t85 @t5) (tptp.aElementOf0 @t93 @t1)) (= @t85 @t93))))) % 35.33/35.54 (assume @p50 (forall @t3 (=> @t71 (forall @t8 (= (= @t5 @t95) (and @t25 (forall @t23 (= @t22 (and @t79 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t20) @t1)))))))))) % 35.33/35.54 (assume @p51 (forall @t3 (=> @t71 (tptp.isFinite0 @t95)))) % 35.33/35.54 (assume @p52 (= @t96 tptp.slcrc0)) % 35.33/35.54 (assume @p53 (forall @t36 (=> @t74 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t72)) (or (tptp.aElementOf0 @t1 @t97) @t34))))) % 35.33/35.54 (assume @p54 (forall @t36 (=> @t74 (= @t76 (tptp.aSubsetOf0 @t95 @t97))))) % 35.33/35.54 (assume @p55 (forall @t3 (=> (and @t89 @t12) (exists @t8 (and @t73 (tptp.aSubsetOf0 @t1 @t97)))))) % 35.33/35.54 (assume @p56 (forall @t3 (=> @t71 (= (tptp.sbrdtbr0 @t95) @t1)))) % 35.33/35.54 (assume @p57 (forall @t36 (=> @t82 (forall @t23 (= (= @t20 @t99) (and @t41 (forall @t50 (= @t49 (and @t98 (= (tptp.sbrdtbr0 @t45) @t5)))))))))) % 35.33/35.54 (assume @p58 (forall @t3 (=> @t33 (forall @t8 (=> @t73 (tptp.isFinite0 @t99)))))) % 35.33/35.54 (assume @p59 (forall @t3 (=> (and @t2 @t16) (forall @t8 (=> @t73 (not (= @t99 tptp.slcrc0))))))) % 35.33/35.54 (assume @p60 (forall @t3 (=> @t17 (forall @t8 (=> (and @t73 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t99)))))) % 35.33/35.54 (assume @p61 (forall @t3 (=> @t71 (forall (@list @t5 @t20) (=> (and @t25 @t41 (not @t75)) (=> (and (tptp.aSubsetOf0 @t100 (tptp.slbdtsldtrb0 @t20 @t1)) (not (= @t100 tptp.slcrc0))) @t38)))))) % 35.33/35.54 (assume @p62 (forall @t36 (=> @t82 (forall @t23 (=> (and (tptp.aSubsetOf0 @t20 @t99) (tptp.isFinite0 @t20)) (exists @t50 (and @t98 (tptp.isFinite0 @t45) (tptp.aSubsetOf0 @t20 (tptp.slbdtsldtrb0 @t45 @t5))))))))) % 35.33/35.54 (assume @p63 (forall @t3 (=> @t101 true))) % 35.33/35.54 (assume @p64 (forall @t3 (=> @t101 (tptp.aSet0 @t102)))) % 35.33/35.54 (assume @p65 (forall @t3 (=> @t101 (forall @t8 (=> @t104 (tptp.aElement0 @t103)))))) % 35.33/35.54 (assume @p66 (forall @t36 (=> @t108 (forall @t23 (= (= @t20 @t107) (and @t41 (forall @t50 (= @t49 (and @t106 (= @t105 @t5)))))))))) % 35.33/35.54 (assume @p67 (forall @t36 (=> @t108 (tptp.aSubsetOf0 @t107 @t102)))) % 35.33/35.54 (assume @p68 (forall @t3 (=> @t101 (forall @t8 (=> @t112 (forall @t23 (= (= @t20 @t111) (and @t41 (forall @t50 (= @t49 (exists @t110 (and (tptp.aElementOf0 @t109 @t5) (= (tptp.sdtlpdtrp0 @t1 @t109) @t45))))))))))))) % 35.33/35.54 (assume @p69 (forall @t3 (=> @t101 (forall @t8 (=> @t104 (tptp.aElementOf0 @t103 @t113)))))) % 35.33/35.54 (assume @p70 (forall @t3 (=> @t101 (forall @t8 (=> @t112 (forall @t23 (= (= @t20 (tptp.sdtexdt0 @t1 @t5)) (and @t115 (= @t114 @t5) (forall @t50 (=> (tptp.aElementOf0 @t45 @t5) (= (tptp.sdtlpdtrp0 @t20 @t45) @t105))))))))))) % 35.33/35.54 (assume @p71 (forall @t3 (=> @t101 (forall @t8 (=> (and @t112 @t65) (=> (forall (@list @t20 @t45) (=> (and (tptp.aElementOf0 @t20 @t102) @t106 (not (= @t20 @t45))) (not (= (tptp.sdtlpdtrp0 @t1 @t20) @t105)))) (tptp.isCountable0 @t111))))))) % 35.33/35.54 (assume @p72 (forall @t3 (=> @t101 (=> (and (tptp.isCountable0 @t102) (tptp.isFinite0 @t113)) (and (tptp.aElement0 @t116) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t116))))))) % 35.33/35.54 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 35.33/35.54 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 35.33/35.54 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 35.33/35.54 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t117 @t118) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t117) tptp.xT))) % 35.33/35.54 (assume @p77 (forall @t3 (=> @t71 (forall @t8 (=> (and @t94 @t65) (forall @t23 (=> (and @t115 (= @t114 @t100) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t20 @t114) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t50 (and (tptp.aElementOf0 @t45 tptp.xT) (exists @t110 (and (tptp.aSubsetOf0 @t109 @t5) (tptp.isCountable0 @t109) (forall (@list @t119) (=> (tptp.aElementOf0 @t119 (tptp.slbdtsldtrb0 @t109 @t1)) (= (tptp.sdtlpdtrp0 @t20 @t119) @t45))))))))))))))) % 35.33/35.54 (assume @p78 (not (= tptp.xK tptp.sz00))) % 35.33/35.54 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 35.33/35.54 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t127 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t71 (=> @t126 (and (tptp.aSubsetOf0 @t120 @t123) (tptp.isCountable0 @t120))))))) % 35.33/35.54 (assume @p81 @t128) % 35.33/35.54 (assume @p82 (forall @t36 (=> @t74 (=> @t77 (tptp.aSubsetOf0 @t121 @t129))))) % 35.33/35.54 (assume @p83 (forall @t36 (=> (and @t71 @t73 (not @t34)) (not (= @t122 (tptp.szmzizndt0 @t129)))))) % 35.33/35.54 (assume @p84 (forall @t3 (=> @t71 (forall @t8 (=> @t132 (tptp.aElementOf0 @t130 @t118)))))) % 35.33/35.54 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t71 (and (tptp.aFunction0 @t133) (= @t134 @t131) (forall @t8 (=> @t132 (= (tptp.sdtlpdtrp0 @t133 @t5) (tptp.sdtlpdtrp0 tptp.xc @t130))))))))) % 35.33/35.54 (assume @p86 (forall @t3 (=> @t71 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t133 @t134) tptp.xT)))) % 35.33/35.54 (assume @p87 (forall @t3 (=> @t71 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t123) @t65) (forall @t23 (=> (and @t41 (tptp.aElementOf0 @t20 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t20 @t131)))))))) % 35.33/35.54 (assume @p88 (tptp.iLess0 tptp.xk tptp.xK)) % 35.33/35.54 (assume @p89 @t135) % 35.33/35.54 (assume @p90 (and (= tptp.xY @t138) (= tptp.xd (tptp.sdtlpdtrp0 tptp.xC tptp.xi)))) % 35.33/35.54 (assume @p91 @t140) % 35.33/35.54 (assume @p92 true) % 35.33/35.54 (step @p93 :rule quant-merge-prenex :args ((= (forall @t3 @t146) (forall (@list @t1 @t141) @t144)))) % 35.33/35.54 (step @p94 :rule alpha_equiv :args (@t147 (@list @t141) @t148)) % 35.33/35.54 (step @p95 :rule refl :args (@t143)) % 35.33/35.54 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t149)) % 35.33/35.54 (step @p97 :rule quant-miniscope-or :args ((= @t146 @t149))) % 35.33/35.54 (step @p98 :rule trans :premises (@p97 @p96)) % 35.33/35.54 (step @p99 :rule symm :premises (@p98)) % 35.33/35.54 (step @p100 :rule cong :premises (@p99) :args ((forall @t3 (or @t143 @t150)))) % 35.33/35.54 (step @p101 :rule trans :premises (@p100 @p93)) % 35.33/35.54 (step @p102 :rule bool-impl-elim :args (@t2 @t150)) % 35.33/35.54 (step @p103 :rule cong :premises (@p102) :args ((forall @t3 (=> @t2 @t150)))) % 35.33/35.54 (step @p104 :rule trans :premises (@p103 @p101)) % 35.33/35.54 (step @p105 :rule bool-impl-elim :args (@t22 @t21)) % 35.33/35.54 (step @p106 :rule cong :premises (@p105) :args (@t24)) % 35.33/35.54 (step @p107 :rule refl :args (@t25)) % 35.33/35.54 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t26)) % 35.33/35.54 (step @p109 :rule refl :args (@t27)) % 35.33/35.54 (step @p110 :rule cong :premises (@p109 @p108) :args (@t28)) % 35.33/35.54 (step @p111 :rule cong :premises (@p110) :args (@t29)) % 35.33/35.54 (step @p112 :rule refl :args (@t2)) % 35.33/35.54 (step @p113 :rule cong :premises (@p112 @p111) :args (@t30)) % 35.33/35.54 (step @p114 :rule cong :premises (@p113) :args (@t31)) % 35.33/35.54 (step @p115 :rule trans :premises (@p114 @p104)) % 35.33/35.54 (step @p116 :rule eq_resolve :premises (@p10 @p115)) % 35.33/35.54 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t136 @t138))) % 35.33/35.54 (step @p118 :rule instantiate :premises (@p116) :args ((@list @t127 @t136))) % 35.33/35.54 (step @p119 :rule and_elim :premises (@p80) :args (1)) % 35.33/35.54 (step @p120 :rule symm :premises (@p119)) % 35.33/35.54 (step @p121 :rule cong :premises (@p120) :args (@t69)) % 35.33/35.54 (step @p122 :rule and_elim :premises (@p23) :args (0)) % 35.33/35.54 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 35.33/35.54 (step @p124 :rule cnf_or_pos :args (@t159)) % 35.33/35.54 (step @p125 :rule reordering :premises (@p124) :args ((or @t158 @t156 (not @t159)))) % 35.33/35.54 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p118) :args (@t156 @t160 (@list @t157 @t159))) % 35.33/35.54 (step @p127 :rule refl :args (@t124)) % 35.33/35.54 (step @p128 :rule refl :args (@t121)) % 35.33/35.54 (step @p129 :rule cong :premises (@p128 @p120) :args (@t125)) % 35.33/35.54 (step @p130 :rule nary_cong :premises (@p129 @p127) :args (@t126)) % 35.33/35.54 (step @p131 :rule refl :args (@t1)) % 35.33/35.54 (step @p132 :rule cong :premises (@p131 @p120) :args (@t71)) % 35.33/35.54 (step @p133 :rule cong :premises (@p132) :args (@t161)) % 35.33/35.54 (step @p134 :rule nary_cong :premises (@p133 @p130) :args (@t162)) % 35.33/35.54 (step @p135 :rule cong :premises (@p134) :args ((forall @t3 @t162))) % 35.33/35.54 (step @p136 :rule bool-impl-elim :args (@t71 @t126)) % 35.33/35.54 (step @p137 :rule cong :premises (@p136) :args (@t128)) % 35.33/35.54 (step @p138 :rule trans :premises (@p137 @p135)) % 35.33/35.54 (step @p139 :rule eq_resolve :premises (@p81 @p138)) % 35.33/35.54 (step @p140 :rule instantiate :premises (@p139) :args ((@list tptp.xi))) % 35.33/35.54 (step @p141 :rule refl :args (tptp.xi)) % 35.33/35.54 (step @p142 :rule cong :premises (@p141 @p120) :args (@t135)) % 35.33/35.54 (step @p143 :rule eq_resolve :premises (@p89 @p142)) % 35.33/35.54 (step @p144 :rule cnf_or_pos :args (@t167)) % 35.33/35.54 (step @p145 :rule reordering :premises (@p144) :args ((or @t166 @t164 (not @t167)))) % 35.33/35.54 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p140) :args (@t164 @t160 (@list @t165 @t167))) % 35.33/35.54 (step @p147 :rule cnf_and_pos :args (@t164 0)) % 35.33/35.54 (step @p148 :rule reordering :premises (@p147) :args ((or @t155 @t168))) % 35.33/35.54 (step @p149 :rule chain_m_resolution :premises (@p148 @p146) :args (@t155 @t169 @t170)) % 35.33/35.54 (step @p150 :rule cnf_equiv_pos1 :args (@t156)) % 35.33/35.54 (step @p151 :rule reordering :premises (@p150) :args ((or @t171 @t154 (not @t156)))) % 35.33/35.54 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p126) :args (@t154 @t160 (@list @t155 @t156))) % 35.33/35.54 (step @p153 :rule cnf_and_pos :args (@t154 0)) % 35.33/35.54 (step @p154 :rule reordering :premises (@p153) :args ((or @t153 (not @t154)))) % 35.33/35.54 (step @p155 :rule chain_m_resolution :premises (@p154 @p152) :args (@t153 @t169 (@list @t154))) % 35.33/35.54 (step @p156 :rule cnf_or_pos :args (@t178)) % 35.33/35.54 (step @p157 :rule reordering :premises (@p156) :args ((or @t177 @t176 (not @t178)))) % 35.33/35.54 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p117) :args (@t176 @t160 (@list @t153 @t178))) % 35.33/35.54 (step @p159 :rule aci_norm :args ((= (or @t184 @t183) (or @t143 @t182 @t181 @t180 @t179 @t37)))) % 35.33/35.54 (step @p160 :rule aci_norm :args ((= (or (or @t180 @t179) @t37) @t183))) % 35.33/35.54 (step @p161 :rule refl :args (@t37)) % 35.33/35.54 (step @p162 :rule bool-and-de-morgan :args (@t35 @t38 true)) % 35.33/35.54 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or (not @t39) @t37))) % 35.33/35.54 (step @p164 :rule trans :premises (@p163 @p160)) % 35.33/35.54 (step @p165 :rule bool-impl-elim :args (@t39 @t37)) % 35.33/35.54 (step @p166 :rule trans :premises (@p165 @p164)) % 35.33/35.54 (step @p167 :rule aci_norm :args ((= (or @t143 (or @t182 @t181)) @t184))) % 35.33/35.54 (step @p168 :rule bool-and-de-morgan :args (@t25 @t41 true)) % 35.33/35.54 (step @p169 :rule nary_cong :premises (@p95 @p168) :args ((or @t143 (not (and @t25 @t41))))) % 35.33/35.54 (step @p170 :rule bool-and-de-morgan :args (@t2 @t25 (and @t41))) % 35.33/35.54 (step @p171 :rule trans :premises (@p170 @p169)) % 35.33/35.54 (step @p172 :rule trans :premises (@p171 @p167)) % 35.33/35.54 (step @p173 :rule nary_cong :premises (@p172 @p166) :args ((or (not @t42) @t40))) % 35.33/35.54 (step @p174 :rule trans :premises (@p173 @p159)) % 35.33/35.54 (step @p175 :rule bool-impl-elim :args (@t42 @t40)) % 35.33/35.54 (step @p176 :rule trans :premises (@p175 @p174)) % 35.33/35.54 (step @p177 :rule cong :premises (@p176) :args (@t44)) % 35.33/35.54 (step @p178 :rule eq_resolve :premises (@p14 @p177)) % 35.33/35.54 (step @p179 :rule instantiate :premises (@p178) :args ((@list @t138 @t136 @t127))) % 35.33/35.54 (step @p180 :rule eq-symm :args (@t186 @t187)) % 35.33/35.54 (step @p181 :rule cong :premises (@p180) :args (@t188)) % 35.33/35.54 (step @p182 :rule refl :args (@t189)) % 35.33/35.54 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t190)) % 35.33/35.54 (step @p184 :rule eq-symm :args (@t185 @t58)) % 35.33/35.54 (step @p185 :rule cong :premises (@p184 @p183) :args (@t191)) % 35.33/35.54 (step @p186 :rule refl :args (@t192)) % 35.33/35.54 (step @p187 :rule refl :args (@t143)) % 35.33/35.54 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185) :args (@t193)) % 35.33/35.54 (step @p189 :rule cong :premises (@p188) :args (@t195)) % 35.33/35.54 (step @p190 :rule quant-merge-prenex :args ((= (forall @t36 @t197) @t195))) % 35.33/35.54 (step @p191 :rule alpha_equiv :args (@t198 (@list @t185) (@list @t20))) % 35.33/35.54 (step @p192 :rule refl :args (@t192)) % 35.33/35.54 (step @p193 :rule nary_cong :premises (@p95 @p192 @p191) :args (@t199)) % 35.33/35.54 (step @p194 :rule quant-miniscope-or :args ((= @t197 @t199))) % 35.33/35.54 (step @p195 :rule trans :premises (@p194 @p193)) % 35.33/35.54 (step @p196 :rule symm :premises (@p195)) % 35.33/35.54 (step @p197 :rule cong :premises (@p196) :args ((forall @t36 @t201))) % 35.33/35.54 (step @p198 :rule trans :premises (@p197 @p190)) % 35.33/35.54 (step @p199 :rule trans :premises (@p198 @p189)) % 35.33/35.54 (step @p200 :rule aci_norm :args ((= (or (or @t143 @t192) @t200) @t201))) % 35.33/35.54 (step @p201 :rule refl :args (@t200)) % 35.33/35.54 (step @p202 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 35.33/35.54 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or (not @t52) @t200))) % 35.33/35.54 (step @p204 :rule trans :premises (@p203 @p200)) % 35.33/35.54 (step @p205 :rule bool-impl-elim :args (@t52 @t200)) % 35.33/35.54 (step @p206 :rule trans :premises (@p205 @p204)) % 35.33/35.54 (step @p207 :rule cong :premises (@p206) :args ((forall @t36 (=> @t52 @t200)))) % 35.33/35.54 (step @p208 :rule trans :premises (@p207 @p199)) % 35.33/35.54 (step @p209 :rule eq-symm :args (@t45 @t5)) % 35.33/35.54 (step @p210 :rule cong :premises (@p209) :args (@t53)) % 35.33/35.54 (step @p211 :rule refl :args (@t47)) % 35.33/35.54 (step @p212 :rule refl :args (@t48)) % 35.33/35.54 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210) :args (@t54)) % 35.33/35.54 (step @p214 :rule refl :args (@t49)) % 35.33/35.54 (step @p215 :rule cong :premises (@p214 @p213) :args (@t55)) % 35.33/35.54 (step @p216 :rule cong :premises (@p215) :args (@t56)) % 35.33/35.54 (step @p217 :rule refl :args (@t41)) % 35.33/35.54 (step @p218 :rule nary_cong :premises (@p217 @p216) :args (@t57)) % 35.33/35.54 (step @p219 :rule refl :args (@t59)) % 35.33/35.54 (step @p220 :rule cong :premises (@p219 @p218) :args (@t60)) % 35.33/35.54 (step @p221 :rule cong :premises (@p220) :args (@t61)) % 35.33/35.54 (step @p222 :rule refl :args (@t52)) % 35.33/35.54 (step @p223 :rule cong :premises (@p222 @p221) :args (@t62)) % 35.33/35.54 (step @p224 :rule cong :premises (@p223) :args (@t63)) % 35.33/35.54 (step @p225 :rule trans :premises (@p224 @p208)) % 35.33/35.54 (step @p226 :rule eq_resolve :premises (@p16 @p225)) % 35.33/35.54 (step @p227 :rule bool-eq-true :args (@t205)) % 35.33/35.54 (step @p228 :rule eq-symm :args (true @t205)) % 35.33/35.54 (step @p229 :rule trans :premises (@p228 @p227)) % 35.33/35.54 (step @p230 :rule eq-symm :args (@t137 @t45)) % 35.33/35.54 (step @p231 :rule cong :premises (@p230) :args (@t206)) % 35.33/35.54 (step @p232 :rule refl :args (@t202)) % 35.33/35.54 (step @p233 :rule nary_cong :premises (@p212 @p232 @p231) :args (@t207)) % 35.33/35.54 (step @p234 :rule refl :args (@t203)) % 35.33/35.54 (step @p235 :rule cong :premises (@p234 @p233) :args ((= @t203 @t207))) % 35.33/35.54 (step @p236 :rule eq-symm :args (@t207 @t203)) % 35.33/35.54 (step @p237 :rule trans :premises (@p236 @p235)) % 35.33/35.54 (step @p238 :rule cong :premises (@p237) :args (@t208)) % 35.33/35.54 (step @p239 :rule refl :args (@t173)) % 35.33/35.54 (step @p240 :rule nary_cong :premises (@p239 @p238) :args (@t209)) % 35.33/35.54 (step @p241 :rule eq-refl :args (@t138)) % 35.33/35.54 (step @p242 :rule cong :premises (@p241 @p240) :args (@t210)) % 35.33/35.54 (step @p243 :rule trans :premises (@p242 @p229)) % 35.33/35.54 (step @p244 :rule refl :args (@t212)) % 35.33/35.54 (step @p245 :rule refl :args (@t177)) % 35.33/35.54 (step @p246 :rule nary_cong :premises (@p245 @p244 @p243) :args (@t213)) % 35.33/35.54 (step @p247 :rule refl :args (@t214)) % 35.33/35.54 (step @p248 :rule cong :premises (@p247 @p246) :args ((=> @t214 @t213))) % 35.33/35.54 (assume-push @p468 @t214) % 35.33/35.54 (step @p250 :rule instantiate :premises (@p226) :args ((@list @t136 @t137 @t138))) % 35.33/35.54 (step-pop @p469 :rule scope :premises (@p250)) % 35.33/35.54 (step @p251 :rule process_scope :premises (@p469) :args (@t213)) % 35.33/35.54 (step @p253 :rule eq_resolve :premises (@p251 @p248)) % 35.33/35.54 (step @p254 :rule implies_elim :premises (@p253)) % 35.33/35.54 (step @p255 :rule chain_m_resolution :premises (@p254 @p226) :args (@t215 @t169 (@list @t214))) % 35.33/35.54 (step @p256 :rule aci_norm :args ((= @t220 (or @t143 @t218 @t217)))) % 35.33/35.54 (step @p257 :rule cong :premises (@p256) :args (@t221)) % 35.33/35.54 (step @p258 :rule quant-merge-prenex :args ((= (forall @t3 @t223) @t221))) % 35.33/35.54 (step @p259 :rule alpha_equiv :args (@t224 (@list @t216) @t148)) % 35.33/35.54 (step @p260 :rule nary_cong :premises (@p95 @p259) :args (@t225)) % 35.33/35.54 (step @p261 :rule quant-miniscope-or :args ((= @t223 @t225))) % 35.33/35.54 (step @p262 :rule trans :premises (@p261 @p260)) % 35.33/35.54 (step @p263 :rule symm :premises (@p262)) % 35.33/35.54 (step @p264 :rule cong :premises (@p263) :args ((forall @t3 (or @t143 @t226)))) % 35.33/35.54 (step @p265 :rule trans :premises (@p264 @p258)) % 35.33/35.54 (step @p266 :rule trans :premises (@p265 @p257)) % 35.33/35.54 (step @p267 :rule bool-impl-elim :args (@t2 @t226)) % 35.33/35.54 (step @p268 :rule cong :premises (@p267) :args ((forall @t3 (=> @t2 @t226)))) % 35.33/35.54 (step @p269 :rule trans :premises (@p268 @p266)) % 35.33/35.54 (step @p270 :rule bool-impl-elim :args (@t7 @t6)) % 35.33/35.54 (step @p271 :rule cong :premises (@p270) :args (@t9)) % 35.33/35.54 (step @p272 :rule cong :premises (@p112 @p271) :args (@t10)) % 35.33/35.54 (step @p273 :rule cong :premises (@p272) :args (@t11)) % 35.33/35.54 (step @p274 :rule trans :premises (@p273 @p269)) % 35.33/35.54 (step @p275 :rule eq_resolve :premises (@p3 @p274)) % 35.33/35.54 (step @p276 :rule instantiate :premises (@p275) :args (@t227)) % 35.33/35.54 (step @p277 :rule refl :args (@t232)) % 35.33/35.54 (step @p278 :rule symm :premises (@p52)) % 35.33/35.54 (step @p279 :rule cong :premises (@p131 @p278) :args (@t13)) % 35.33/35.54 (step @p280 :rule cong :premises (@p131 @p120) :args (@t89)) % 35.33/35.54 (step @p281 :rule cong :premises (@p280) :args (@t233)) % 35.33/35.54 (step @p282 :rule nary_cong :premises (@p281 @p279 @p277) :args (@t234)) % 35.33/35.54 (step @p283 :rule cong :premises (@p282) :args ((forall @t235 @t234))) % 35.33/35.54 (step @p284 :rule eq-symm :args (@t229 @t231)) % 35.33/35.54 (step @p285 :rule refl :args (@t231)) % 35.33/35.54 (step @p286 :rule eq-symm :args (@t228 @t85)) % 35.33/35.54 (step @p287 :rule cong :premises (@p286 @p285) :args (@t236)) % 35.33/35.54 (step @p288 :rule trans :premises (@p287 @p284)) % 35.33/35.54 (step @p289 :rule refl :args (@t13)) % 35.33/35.54 (step @p290 :rule refl :args (@t233)) % 35.33/35.54 (step @p291 :rule nary_cong :premises (@p290 @p289 @p288) :args (@t237)) % 35.33/35.54 (step @p292 :rule cong :premises (@p291) :args (@t238)) % 35.33/35.54 (step @p293 :rule quant-merge-prenex :args ((= (forall @t3 @t240) @t238))) % 35.33/35.54 (step @p294 :rule alpha_equiv :args (@t241 (@list @t228) @t148)) % 35.33/35.54 (step @p295 :rule refl :args (@t13)) % 35.33/35.54 (step @p296 :rule refl :args (@t233)) % 35.33/35.54 (step @p297 :rule nary_cong :premises (@p296 @p295 @p294) :args (@t242)) % 35.33/35.54 (step @p298 :rule quant-miniscope-or :args ((= @t240 @t242))) % 35.33/35.54 (step @p299 :rule trans :premises (@p298 @p297)) % 35.33/35.54 (step @p300 :rule symm :premises (@p299)) % 35.33/35.54 (step @p301 :rule cong :premises (@p300) :args ((forall @t3 @t244))) % 35.33/35.54 (step @p302 :rule trans :premises (@p301 @p293)) % 35.33/35.54 (step @p303 :rule trans :premises (@p302 @p292)) % 35.33/35.54 (step @p304 :rule aci_norm :args ((= (or (or @t233 @t13) @t243) @t244))) % 35.33/35.54 (step @p305 :rule refl :args (@t243)) % 35.33/35.54 (step @p306 :rule bool-double-not-elim :args (@t13)) % 35.33/35.54 (step @p307 :rule nary_cong :premises (@p296 @p306) :args ((or @t233 (not @t19)))) % 35.33/35.54 (step @p308 :rule bool-and-de-morgan :args (@t89 @t19 true)) % 35.33/35.54 (step @p309 :rule trans :premises (@p308 @p307)) % 35.33/35.54 (step @p310 :rule nary_cong :premises (@p309 @p305) :args ((or (not @t90) @t243))) % 35.33/35.54 (step @p311 :rule trans :premises (@p310 @p304)) % 35.33/35.54 (step @p312 :rule bool-impl-elim :args (@t90 @t243)) % 35.33/35.54 (step @p313 :rule trans :premises (@p312 @p311)) % 35.33/35.54 (step @p314 :rule cong :premises (@p313) :args ((forall @t3 (=> @t90 @t243)))) % 35.33/35.54 (step @p315 :rule trans :premises (@p314 @p303)) % 35.33/35.54 (step @p316 :rule bool-impl-elim :args (@t21 @t78)) % 35.33/35.54 (step @p317 :rule cong :premises (@p316) :args (@t83)) % 35.33/35.54 (step @p318 :rule refl :args (@t7)) % 35.33/35.54 (step @p319 :rule nary_cong :premises (@p318 @p317) :args (@t84)) % 35.33/35.54 (step @p320 :rule refl :args (@t86)) % 35.33/35.54 (step @p321 :rule cong :premises (@p320 @p319) :args (@t87)) % 35.33/35.54 (step @p322 :rule cong :premises (@p321) :args (@t88)) % 35.33/35.54 (step @p323 :rule refl :args (@t90)) % 35.33/35.54 (step @p324 :rule cong :premises (@p323 @p322) :args (@t91)) % 35.33/35.54 (step @p325 :rule cong :premises (@p324) :args (@t92)) % 35.33/35.54 (step @p326 :rule trans :premises (@p325 @p315)) % 35.33/35.54 (step @p327 :rule trans :premises (@p326 @p283)) % 35.33/35.54 (step @p328 :rule eq_resolve :premises (@p47 @p327)) % 35.33/35.54 (step @p329 :rule bool-eq-true :args (@t246)) % 35.33/35.54 (step @p330 :rule eq-refl :args (@t137)) % 35.33/35.54 (step @p331 :rule refl :args (@t246)) % 35.33/35.54 (step @p332 :rule cong :premises (@p331 @p330) :args (@t247)) % 35.33/35.54 (step @p333 :rule trans :premises (@p332 @p329)) % 35.33/35.54 (step @p334 :rule eq-symm :args (@t136 @t96)) % 35.33/35.54 (step @p335 :rule refl :args (@t171)) % 35.33/35.54 (step @p336 :rule nary_cong :premises (@p335 @p334 @p333) :args (@t248)) % 35.33/35.54 (step @p337 :rule refl :args (@t249)) % 35.33/35.54 (step @p338 :rule cong :premises (@p337 @p336) :args ((=> @t249 @t248))) % 35.33/35.54 (assume-push @p470 @t249) % 35.33/35.54 (step @p340 :rule instantiate :premises (@p328) :args (@t227)) % 35.33/35.54 (step-pop @p471 :rule scope :premises (@p340)) % 35.33/35.54 (step @p341 :rule process_scope :premises (@p471) :args (@t248)) % 35.33/35.54 (step @p343 :rule eq_resolve :premises (@p341 @p338)) % 35.33/35.54 (step @p344 :rule implies_elim :premises (@p343)) % 35.33/35.54 (step @p345 :rule chain_m_resolution :premises (@p344 @p328) :args (@t251 @t169 (@list @t249))) % 35.33/35.54 (step @p346 :rule aci_norm :args ((= (or (or @t143 @t252) @t16) (or @t143 @t252 @t16)))) % 35.33/35.54 (step @p347 :rule refl :args (@t16)) % 35.33/35.54 (step @p348 :rule bool-and-de-morgan :args (@t2 @t15 true)) % 35.33/35.54 (step @p349 :rule nary_cong :premises (@p348 @p347) :args ((or (not @t17) @t16))) % 35.33/35.54 (step @p350 :rule trans :premises (@p349 @p346)) % 35.33/35.54 (step @p351 :rule bool-impl-elim :args (@t17 @t16)) % 35.33/35.54 (step @p352 :rule trans :premises (@p351 @p350)) % 35.33/35.54 (step @p353 :rule cong :premises (@p352) :args (@t18)) % 35.33/35.54 (step @p354 :rule eq_resolve :premises (@p8 @p353)) % 35.33/35.54 (step @p355 :rule instantiate :premises (@p354) :args ((@list @t136))) % 35.33/35.54 (step @p356 :rule cnf_and_pos :args (@t164 1)) % 35.33/35.54 (step @p357 :rule reordering :premises (@p356) :args ((or @t163 @t168))) % 35.33/35.54 (step @p358 :rule chain_m_resolution :premises (@p357 @p146) :args (@t163 @t169 @t170)) % 35.33/35.54 (step @p359 :rule cnf_or_pos :args (@t256)) % 35.33/35.54 (step @p360 :rule reordering :premises (@p359) :args ((or @t177 @t255 @t254 (not @t256)))) % 35.33/35.54 (step @p361 :rule chain_m_resolution :premises (@p360 @p155 @p358 @p355) :args (@t254 @t257 (@list @t153 @t163 @t256))) % 35.33/35.54 (step @p362 :rule cong :premises (@p278) :args (@t14)) % 35.33/35.54 (step @p363 :rule eq_resolve :premises (@p6 @p362)) % 35.33/35.54 (step @p364 :rule refl :args (@t258)) % 35.33/35.54 (step @p365 :rule bool-double-not-elim :args (@t253)) % 35.33/35.54 (step @p366 :rule refl :args (@t260)) % 35.33/35.54 (step @p367 :rule nary_cong :premises (@p366 @p365 @p364) :args ((or @t260 (not @t254) @t258))) % 35.33/35.54 (assume-push @p472 @t259) % 35.33/35.54 (assume-push @p473 @t250) % 35.33/35.54 (assume-push @p474 @t254) % 35.33/35.54 (step @p371 :rule evaluate :args ((= false true))) % 35.33/35.54 (step @p372 :rule true_intro :premises (@p363)) % 35.33/35.54 (step @p373 :rule symm :premises (@p473)) % 35.33/35.54 (step @p374 :rule cong :premises (@p373) :args (@t253)) % 35.33/35.54 (step @p375 :rule false_intro :premises (@p361)) % 35.33/35.54 (step @p376 :rule symm :premises (@p375)) % 35.33/35.54 (step @p377 :rule trans :premises (@p376 @p374 @p372)) % 35.33/35.54 (step @p378 false :rule eq_resolve :premises (@p377 @p371)) % 35.33/35.54 (step-pop @p475 :rule scope :premises (@p378)) % 35.33/35.54 (step-pop @p476 :rule scope :premises (@p475)) % 35.33/35.54 (step-pop @p477 :rule scope :premises (@p476)) % 35.33/35.54 (step @p379 :rule process_scope :premises (@p477) :args (false)) % 35.33/35.54 (assume-push @p478 @t259) % 35.33/35.54 (assume-push @p479 @t254) % 35.33/35.54 (assume-push @p480 @t250) % 35.33/35.54 (step @p386 :rule and_intro :premises (@p363 @p480 @p361)) % 35.33/35.54 (step-pop @p481 :rule scope :premises (@p386)) % 35.33/35.54 (step-pop @p482 :rule scope :premises (@p481)) % 35.33/35.54 (step-pop @p483 :rule scope :premises (@p482)) % 35.33/35.54 (step @p387 :rule process_scope :premises (@p483) :args (@t261)) % 35.33/35.54 (step @p391 :rule implies_elim :premises (@p387)) % 35.33/35.54 (step @p392 :rule resolution :premises (@p391 @p379) :args (true @t261)) % 35.33/35.54 (step @p393 :rule not_and :premises (@p392)) % 35.33/35.54 (step @p394 :rule eq_resolve :premises (@p393 @p367)) % 35.33/35.54 (step @p395 :rule chain_m_resolution :premises (@p394 @p363 @p361) :args (@t258 @t262 (@list @t259 @t253))) % 35.33/35.54 (step @p396 :rule cnf_or_pos :args (@t251)) % 35.33/35.54 (step @p397 :rule reordering :premises (@p396) :args ((or @t171 @t250 @t246 (not @t251)))) % 35.33/35.54 (step @p398 :rule chain_m_resolution :premises (@p397 @p149 @p395 @p345) :args (@t246 @t263 (@list @t155 @t250 @t251))) % 35.33/35.54 (step @p399 :rule cnf_and_pos :args (@t246 0)) % 35.33/35.54 (step @p400 :rule reordering :premises (@p399) :args ((or @t245 (not @t246)))) % 35.33/35.54 (step @p401 :rule chain_m_resolution :premises (@p400 @p398) :args (@t245 @t169 (@list @t246))) % 35.33/35.54 (step @p402 :rule cnf_or_pos :args (@t265)) % 35.33/35.54 (step @p403 :rule reordering :premises (@p402) :args ((or @t177 @t264 @t211 (not @t265)))) % 35.33/35.54 (step @p404 :rule chain_m_resolution :premises (@p403 @p155 @p401 @p276) :args (@t211 @t257 (@list @t153 @t245 @t265))) % 35.33/35.54 (step @p405 :rule cnf_or_pos :args (@t215)) % 35.33/35.54 (step @p406 :rule reordering :premises (@p405) :args ((or @t177 @t212 @t205 (not @t215)))) % 35.33/35.54 (step @p407 :rule chain_m_resolution :premises (@p406 @p155 @p404 @p255) :args (@t205 @t257 (@list @t153 @t211 @t215))) % 35.33/35.54 (step @p408 :rule cnf_and_pos :args (@t205 0)) % 35.33/35.54 (step @p409 :rule reordering :premises (@p408) :args ((or @t173 @t266))) % 35.33/35.54 (step @p410 :rule chain_m_resolution :premises (@p409 @p407) :args (@t173 @t169 @t267)) % 35.33/35.54 (step @p411 :rule and_elim :premises (@p90) :args (0)) % 35.33/35.54 (step @p412 :rule cong :premises (@p411 @p120) :args (@t139)) % 35.33/35.54 (step @p413 :rule cong :premises (@p412) :args (@t140)) % 35.33/35.54 (step @p414 :rule eq_resolve :premises (@p91 @p413)) % 35.33/35.54 (step @p415 :rule cnf_or_pos :args (@t271)) % 35.33/35.54 (step @p416 :rule reordering :premises (@p415) :args ((or @t268 @t158 @t177 @t171 @t270 @t269 (not @t271)))) % 35.33/35.54 (step @p417 :rule chain_m_resolution :premises (@p416 @p414 @p123 @p155 @p149 @p410 @p179) :args (@t269 (@list true false false false false false) (@list @t268 @t157 @t153 @t155 @t173 @t271))) % 35.33/35.54 (step @p418 :rule cnf_equiv_pos2 :args (@t176)) % 35.33/35.54 (step @p419 :rule reordering :premises (@p418) :args ((or @t175 @t272 (not @t176)))) % 35.33/35.54 (step @p420 :rule chain_m_resolution :premises (@p419 @p417 @p158) :args (@t272 (@list true false) (@list @t175 @t176))) % 35.33/35.54 (step @p421 :rule cnf_and_neg :args (@t174)) % 35.33/35.54 (step @p422 :rule reordering :premises (@p421) :args ((or @t270 @t174 @t273))) % 35.33/35.54 (step @p423 :rule chain_m_resolution :premises (@p422 @p410 @p420) :args (@t273 @t262 (@list @t173 @t174))) % 35.33/35.54 (step @p424 :rule refl :args (@t279)) % 35.33/35.54 (step @p425 :rule bool-double-not-elim :args (@t172)) % 35.33/35.54 (step @p426 :rule nary_cong :premises (@p425 @p424) :args ((or (not @t273) @t279))) % 35.33/35.54 (assume-push @p484 @t273) % 35.33/35.54 (step @p428 :rule skolemize :premises (@p484)) % 35.33/35.54 (step-pop @p485 :rule scope :premises (@p428)) % 35.33/35.54 (step @p429 :rule process_scope :premises (@p485) :args (@t279)) % 35.33/35.54 (step @p431 :rule implies_elim :premises (@p429)) % 35.33/35.54 (step @p432 :rule eq_resolve :premises (@p431 @p426)) % 35.33/35.54 (step @p433 :rule chain_m_resolution :premises (@p432 @p423) :args (@t279 @t280 (@list @t172))) % 35.33/35.54 (step @p434 :rule bool-double-not-elim :args (@t276)) % 35.33/35.54 (step @p435 :rule refl :args (@t278)) % 35.33/35.54 (step @p436 :rule nary_cong :premises (@p435 @p434) :args ((or @t278 (not @t277)))) % 35.33/35.54 (step @p437 :rule cnf_or_neg :args (@t278 0)) % 35.33/35.54 (step @p438 :rule eq_resolve :premises (@p437 @p436)) % 35.33/35.54 (step @p439 :rule reordering :premises (@p438) :args ((or @t276 @t278))) % 35.33/35.54 (step @p440 :rule chain_m_resolution :premises (@p439 @p433) :args (@t276 @t280 @t281)) % 35.33/35.54 (step @p441 :rule cnf_or_neg :args (@t278 1)) % 35.33/35.54 (step @p442 :rule chain_m_resolution :premises (@p441 @p433) :args ((not @t275) @t280 @t281)) % 35.33/35.54 (step @p443 :rule cnf_and_pos :args (@t283 1)) % 35.33/35.54 (step @p444 :rule reordering :premises (@p443) :args ((or @t275 @t284))) % 35.33/35.54 (step @p445 :rule chain_m_resolution :premises (@p444 @p442) :args (@t284 @t280 (@list @t275))) % 35.33/35.54 (step @p446 :rule cnf_and_pos :args (@t205 1)) % 35.33/35.54 (step @p447 :rule reordering :premises (@p446) :args ((or @t204 @t266))) % 35.33/35.54 (step @p448 :rule chain_m_resolution :premises (@p447 @p407) :args (@t204 @t169 @t267)) % 35.33/35.54 (step @p449 :rule eq-symm :args (@t274 @t137)) % 35.33/35.54 (step @p450 :rule cong :premises (@p449) :args (@t285)) % 35.33/35.54 (step @p451 :rule refl :args (@t275)) % 35.33/35.54 (step @p452 :rule refl :args (@t282)) % 35.33/35.54 (step @p453 :rule nary_cong :premises (@p452 @p451 @p450) :args (@t286)) % 35.33/35.54 (step @p454 :rule refl :args (@t276)) % 35.33/35.54 (step @p455 :rule cong :premises (@p454 @p453) :args (@t287)) % 35.33/35.54 (step @p456 :rule refl :args (@t204)) % 35.33/35.54 (step @p457 :rule cong :premises (@p456 @p455) :args ((=> @t204 @t287))) % 35.33/35.54 (assume-push @p486 @t204) % 35.33/35.54 (step @p459 :rule instantiate :premises (@p486) :args ((@list @t274))) % 35.33/35.54 (step-pop @p487 :rule scope :premises (@p459)) % 35.33/35.54 (step @p460 :rule process_scope :premises (@p487) :args (@t287)) % 35.33/35.54 (step @p462 :rule eq_resolve :premises (@p460 @p457)) % 35.33/35.54 (step @p463 :rule implies_elim :premises (@p462)) % 35.33/35.54 (step @p464 :rule chain_m_resolution :premises (@p463 @p448) :args (@t288 @t169 (@list @t204))) % 35.33/35.54 (step @p465 :rule cnf_equiv_pos1 :args (@t288)) % 35.33/35.54 (step @p466 :rule reordering :premises (@p465) :args ((or @t277 @t283 (not @t288)))) % 35.33/35.54 (step @p467 false :rule chain_m_resolution :premises (@p466 @p464 @p445 @p440) :args (false @t263 (@list @t288 @t283 @t276))) % 35.33/35.54 ) % 35.33/35.54 % SZS output end Proof % 35.33/35.54 % cvc5 exiting %------------------------------------------------------------------------------