%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM566+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 35.07s 35.23s % Output : Proof 35.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM566+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:30:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 35.07/35.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.07/35.23 --- Run --no-e-matching --full-saturate-quant at 6... % 35.07/35.23 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.07/35.23 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.07/35.23 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.07/35.23 % SZS status Theorem % 35.07/35.23 % SZS output start Proof % 35.07/35.23 ( % 35.07/35.23 (declare-sort $$unsorted 0) % 35.07/35.23 (declare-const tptp.sz00 $$unsorted) % 35.07/35.23 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 35.07/35.23 (declare-const tptp.szNzAzT0 $$unsorted) % 35.07/35.23 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 35.07/35.23 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 35.07/35.23 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 35.07/35.23 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 35.07/35.23 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 35.07/35.23 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 35.07/35.23 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 35.07/35.23 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 35.07/35.23 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.xK $$unsorted) % 35.07/35.23 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.xT $$unsorted) % 35.07/35.23 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.xS $$unsorted) % 35.07/35.23 (declare-const tptp.xc $$unsorted) % 35.07/35.23 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.slcrc0 $$unsorted) % 35.07/35.23 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 35.07/35.23 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 35.07/35.23 (define @t1 () (@var "W0" $$unsorted)) % 35.07/35.23 (define @t2 () (tptp.aSet0 @t1)) % 35.07/35.23 (define @t3 () (@list @t1)) % 35.07/35.23 (define @t4 () (tptp.aElement0 @t1)) % 35.07/35.23 (define @t5 () (@var "W1" $$unsorted)) % 35.07/35.23 (define @t6 () (tptp.aElement0 @t5)) % 35.07/35.23 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 35.07/35.23 (define @t8 () (@list @t5)) % 35.07/35.23 (define @t9 () (tptp.isFinite0 @t1)) % 35.07/35.23 (define @t10 () (= @t1 tptp.slcrc0)) % 35.07/35.23 (define @t11 () (tptp.isCountable0 @t1)) % 35.07/35.23 (define @t12 () (not @t9)) % 35.07/35.23 (define @t13 () (and @t2 @t11)) % 35.07/35.23 (define @t14 () (not @t10)) % 35.07/35.23 (define @t15 () (@var "W2" $$unsorted)) % 35.07/35.23 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 35.07/35.23 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 35.07/35.23 (define @t18 () (@list @t15)) % 35.07/35.23 (define @t19 () (tptp.aSet0 @t5)) % 35.07/35.23 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 35.07/35.23 (define @t21 () (tptp.isFinite0 @t5)) % 35.07/35.23 (define @t22 () (and @t2 @t9)) % 35.07/35.23 (define @t23 () (= @t1 @t5)) % 35.07/35.23 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 35.07/35.23 (define @t25 () (@list @t1 @t5)) % 35.07/35.23 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 35.07/35.23 (define @t27 () (tptp.aSet0 @t15)) % 35.07/35.23 (define @t28 () (@list @t1 @t5 @t15)) % 35.07/35.23 (define @t29 () (@var "W3" $$unsorted)) % 35.07/35.23 (define @t30 () (= @t29 @t5)) % 35.07/35.23 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 35.07/35.23 (define @t32 () (tptp.aElement0 @t29)) % 35.07/35.23 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 35.07/35.23 (define @t34 () (@list @t29)) % 35.07/35.23 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 35.07/35.23 (define @t36 () (and @t2 @t6)) % 35.07/35.23 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 35.07/35.23 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 35.07/35.23 (define @t39 () (tptp.isCountable0 @t5)) % 35.07/35.23 (define @t40 () (and @t19 @t39)) % 35.07/35.23 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 35.07/35.23 (define @t42 () (and @t19 @t21)) % 35.07/35.23 (define @t43 () (tptp.szszuzczcdt0 @t1)) % 35.07/35.23 (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 35.07/35.23 (define @t45 () (tptp.szszuzczcdt0 @t5)) % 35.07/35.23 (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 35.07/35.23 (define @t47 () (and @t44 @t46)) % 35.07/35.23 (define @t48 () (= @t1 tptp.sz00)) % 35.07/35.23 (define @t49 () (tptp.sdtlseqdt0 @t1 @t5)) % 35.07/35.23 (define @t50 () (tptp.sdtlseqdt0 @t5 @t15)) % 35.07/35.23 (define @t51 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 35.07/35.23 (define @t52 () (tptp.sbrdtbr0 @t1)) % 35.07/35.23 (define @t53 () (= @t52 tptp.sz00)) % 35.07/35.23 (define @t54 () (not @t7)) % 35.07/35.23 (define @t55 () (tptp.sbrdtbr0 @t15)) % 35.07/35.23 (define @t56 () (and @t2 @t46)) % 35.07/35.23 (define @t57 () (tptp.szmzizndt0 @t1)) % 35.07/35.23 (define @t58 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 35.07/35.23 (define @t59 () (tptp.szmzizndt0 @t5)) % 35.07/35.23 (define @t60 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 35.07/35.23 (define @t61 () (tptp.slbdtrb0 @t1)) % 35.07/35.23 (define @t62 () (tptp.slbdtrb0 tptp.sz00)) % 35.07/35.23 (define @t63 () (tptp.slbdtrb0 @t5)) % 35.07/35.23 (define @t64 () (tptp.sbrdtbr0 @t29)) % 35.07/35.23 (define @t65 () (tptp.aSubsetOf0 @t29 @t1)) % 35.07/35.23 (define @t66 () (tptp.slbdtsldtrb0 @t1 @t5)) % 35.07/35.23 (define @t67 () (tptp.slbdtsldtrb0 @t5 @t1)) % 35.07/35.23 (define @t68 () (tptp.aFunction0 @t1)) % 35.07/35.23 (define @t69 () (tptp.szDzozmdt0 @t1)) % 35.07/35.23 (define @t70 () (tptp.sdtlpdtrp0 @t1 @t5)) % 35.07/35.23 (define @t71 () (tptp.aElementOf0 @t5 @t69)) % 35.07/35.23 (define @t72 () (tptp.sdtlpdtrp0 @t1 @t29)) % 35.07/35.23 (define @t73 () (tptp.aElementOf0 @t29 @t69)) % 35.07/35.23 (define @t74 () (tptp.sdtlbdtrb0 @t1 @t5)) % 35.07/35.23 (define @t75 () (and @t68 @t6)) % 35.07/35.23 (define @t76 () (@var "W4" $$unsorted)) % 35.07/35.23 (define @t77 () (tptp.aElementOf0 @t76 @t5)) % 35.07/35.23 (define @t78 () (@list @t76)) % 35.07/35.23 (define @t79 () (tptp.sdtlcdtrc0 @t1 @t5)) % 35.07/35.23 (define @t80 () (tptp.aSubsetOf0 @t5 @t69)) % 35.07/35.23 (define @t81 () (tptp.sdtlcdtrc0 @t1 @t69)) % 35.07/35.23 (define @t82 () (tptp.aElementOf0 @t70 @t81)) % 35.07/35.23 (define @t83 () (forall @t8 (=> @t71 @t82))) % 35.07/35.23 (define @t84 () (=> @t68 @t83)) % 35.07/35.23 (define @t85 () (forall @t3 @t84)) % 35.07/35.23 (define @t86 () (tptp.aElementOf0 @t29 @t5)) % 35.07/35.23 (define @t87 () (tptp.szDzozmdt0 @t15)) % 35.07/35.23 (define @t88 () (tptp.aFunction0 @t15)) % 35.07/35.23 (define @t89 () (tptp.szDzizrdt0 @t1)) % 35.07/35.23 (define @t90 () (tptp.isCountable0 tptp.xS)) % 35.07/35.23 (define @t91 () (tptp.aElementOf0 @t1 tptp.xS)) % 35.07/35.23 (define @t92 () (tptp.aSet0 tptp.xS)) % 35.07/35.23 (define @t93 () (tptp.szDzozmdt0 tptp.xc)) % 35.07/35.23 (define @t94 () (tptp.sdtlcdtrc0 tptp.xc @t93)) % 35.07/35.23 (define @t95 () (tptp.aElementOf0 @t1 tptp.xT)) % 35.07/35.23 (define @t96 () (tptp.aElementOf0 @t1 @t94)) % 35.07/35.23 (define @t97 () (forall @t3 (=> @t96 @t95))) % 35.07/35.23 (define @t98 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 35.07/35.23 (define @t99 () (tptp.aElementOf0 @t1 @t93)) % 35.07/35.23 (define @t100 () (= @t52 tptp.xK)) % 35.07/35.23 (define @t101 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 35.07/35.23 (define @t102 () (tptp.aElementOf0 @t5 tptp.xS)) % 35.07/35.23 (define @t103 () (forall @t8 (=> @t7 @t102))) % 35.07/35.23 (define @t104 () (and @t2 @t103)) % 35.07/35.23 (define @t105 () (or @t104 @t101)) % 35.07/35.23 (define @t106 () (tptp.aFunction0 tptp.xc)) % 35.07/35.23 (define @t107 () (@var "W5" $$unsorted)) % 35.07/35.23 (define @t108 () (@var "W6" $$unsorted)) % 35.07/35.23 (define @t109 () (@list @t107)) % 35.07/35.23 (define @t110 () (tptp.aElementOf0 @t29 tptp.xT)) % 35.07/35.23 (define @t111 () (tptp.sdtlcdtrc0 @t15 @t87)) % 35.07/35.23 (define @t112 () (tptp.aElementOf0 @t29 @t111)) % 35.07/35.23 (define @t113 () (tptp.aElementOf0 @t29 @t87)) % 35.07/35.23 (define @t114 () (= @t64 @t1)) % 35.07/35.23 (define @t115 () (tptp.aSubsetOf0 @t29 @t5)) % 35.07/35.23 (define @t116 () (forall @t78 (=> (tptp.aElementOf0 @t76 @t29) @t77))) % 35.07/35.23 (define @t117 () (tptp.aSet0 @t29)) % 35.07/35.23 (define @t118 () (tptp.slbdtsldtrb0 tptp.xS tptp.sz00)) % 35.07/35.23 (define @t119 () (tptp.aElementOf0 tptp.slcrc0 @t118)) % 35.07/35.23 (define @t120 () (tptp.aElementOf0 @t1 tptp.slcrc0)) % 35.07/35.23 (define @t121 () (tptp.aSet0 tptp.slcrc0)) % 35.07/35.23 (define @t122 () (tptp.sdtlpdtrp0 tptp.xc tptp.slcrc0)) % 35.07/35.23 (define @t123 () (tptp.sdtlpdtrp0 tptp.xc @t1)) % 35.07/35.23 (define @t124 () (= @t123 @t122)) % 35.07/35.23 (define @t125 () (tptp.aElementOf0 @t5 tptp.slcrc0)) % 35.07/35.23 (define @t126 () (exists @t8 @t125)) % 35.07/35.23 (define @t127 () (not @t126)) % 35.07/35.23 (define @t128 () (and @t121 @t127 @t124)) % 35.07/35.23 (define @t129 () (tptp.aElementOf0 @t1 @t118)) % 35.07/35.23 (define @t130 () (and @t105 @t53)) % 35.07/35.23 (define @t131 () (or @t130 @t129)) % 35.07/35.23 (define @t132 () (=> @t131 @t128)) % 35.07/35.23 (define @t133 () (forall @t3 @t132)) % 35.07/35.23 (define @t134 () (tptp.sdtlpdtrp0 tptp.xc @t15)) % 35.07/35.23 (define @t135 () (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xK))) % 35.07/35.23 (define @t136 () (= @t55 tptp.xK)) % 35.07/35.23 (define @t137 () (tptp.aSubsetOf0 @t15 @t5)) % 35.07/35.23 (define @t138 () (forall @t34 (=> @t33 @t86))) % 35.07/35.23 (define @t139 () (and @t27 @t138 @t137 @t136 @t135)) % 35.07/35.23 (define @t140 () (=> @t139 (= @t134 @t1))) % 35.07/35.23 (define @t141 () (forall @t18 @t140)) % 35.07/35.23 (define @t142 () (tptp.aSubsetOf0 @t5 tptp.xS)) % 35.07/35.23 (define @t143 () (tptp.aElementOf0 @t15 tptp.xS)) % 35.07/35.23 (define @t144 () (forall @t18 (=> @t17 @t143))) % 35.07/35.23 (define @t145 () (and @t19 @t144)) % 35.07/35.23 (define @t146 () (or @t145 @t142)) % 35.07/35.23 (define @t147 () (and @t146 @t39 @t141)) % 35.07/35.23 (define @t148 () (exists @t8 @t147)) % 35.07/35.23 (define @t149 () (and @t95 @t148)) % 35.07/35.23 (define @t150 () (exists @t3 @t149)) % 35.07/35.23 (define @t151 () (not @t150)) % 35.07/35.23 (define @t152 () (tptp.slbdtrb0 tptp.xK)) % 35.07/35.23 (define @t153 () (tptp.sdtlpdtrp0 tptp.xc @t152)) % 35.07/35.23 (define @t154 () (@var "BOUND_VARIABLE_9729" $$unsorted)) % 35.07/35.23 (define @t155 () (tptp.aSet0 @t152)) % 35.07/35.23 (define @t156 () (and @t155 (not (tptp.aElementOf0 @t154 @t152)) (= @t123 @t153))) % 35.07/35.23 (define @t157 () (not (tptp.aElementOf0 @t1 @t98))) % 35.07/35.23 (define @t158 () (not (= tptp.xK @t52))) % 35.07/35.23 (define @t159 () (not @t101)) % 35.07/35.23 (define @t160 () (forall @t8 (or @t54 @t102))) % 35.07/35.23 (define @t161 () (and (or (not @t2) (not @t160)) @t159)) % 35.07/35.23 (define @t162 () (or @t161 @t158)) % 35.07/35.23 (define @t163 () (and @t162 @t157)) % 35.07/35.23 (define @t164 () (or @t163 @t156)) % 35.07/35.23 (define @t165 () (@list @t1 @t154)) % 35.07/35.23 (define @t166 () (tptp.aElementOf0 @t154 tptp.slcrc0)) % 35.07/35.23 (define @t167 () (not @t166)) % 35.07/35.23 (define @t168 () (and @t121 @t167 @t124)) % 35.07/35.23 (define @t169 () (not @t129)) % 35.07/35.23 (define @t170 () (= tptp.sz00 @t52)) % 35.07/35.23 (define @t171 () (not @t170)) % 35.07/35.23 (define @t172 () (or @t161 @t171)) % 35.07/35.23 (define @t173 () (and @t172 @t169)) % 35.07/35.23 (define @t174 () (or @t173 @t168)) % 35.07/35.23 (define @t175 () (forall @t165 @t174)) % 35.07/35.23 (define @t176 () (@list @t154)) % 35.07/35.23 (define @t177 () (forall @t176 @t174)) % 35.07/35.23 (define @t178 () (forall @t176 @t124)) % 35.07/35.23 (define @t179 () (forall @t176 @t167)) % 35.07/35.23 (define @t180 () (@list @t5)) % 35.07/35.23 (define @t181 () (forall @t176 @t121)) % 35.07/35.23 (define @t182 () (and @t181 @t179 @t178)) % 35.07/35.23 (define @t183 () (forall @t176 @t168)) % 35.07/35.23 (define @t184 () (or @t173 @t183)) % 35.07/35.23 (define @t185 () (forall @t8 (not @t125))) % 35.07/35.23 (define @t186 () (and @t121 @t185 @t124)) % 35.07/35.23 (define @t187 () (and @t2 @t160)) % 35.07/35.23 (define @t188 () (or @t187 @t101)) % 35.07/35.23 (define @t189 () (and @t188 @t170)) % 35.07/35.23 (define @t190 () (or @t189 @t129)) % 35.07/35.23 (define @t191 () (not (tptp.aElementOf0 @t15 @t98))) % 35.07/35.23 (define @t192 () (not @t136)) % 35.07/35.23 (define @t193 () (not (tptp.aSubsetOf0 @t15 tptp.xS))) % 35.07/35.23 (define @t194 () (tptp.aElementOf0 @t29 tptp.xS)) % 35.07/35.23 (define @t195 () (not @t33)) % 35.07/35.23 (define @t196 () (not (forall @t34 (or @t195 @t194)))) % 35.07/35.23 (define @t197 () (not @t27)) % 35.07/35.23 (define @t198 () (forall @t18 (or @t197 @t196 @t193 @t192 @t191 (= @t134 @t153)))) % 35.07/35.23 (define @t199 () (@quantifiers_skolemize @t198 0)) % 35.07/35.23 (define @t200 () (tptp.sdtlpdtrp0 tptp.xc @t199)) % 35.07/35.23 (define @t201 () (not (tptp.aElementOf0 tptp.xK @t152))) % 35.07/35.23 (define @t202 () (= @t200 @t153)) % 35.07/35.23 (define @t203 () (and @t155 @t201 @t202)) % 35.07/35.23 (define @t204 () (tptp.aElementOf0 @t199 @t98)) % 35.07/35.23 (define @t205 () (not @t204)) % 35.07/35.23 (define @t206 () (tptp.sbrdtbr0 @t199)) % 35.07/35.23 (define @t207 () (not (= @t206 tptp.xK))) % 35.07/35.23 (define @t208 () (not (tptp.aSubsetOf0 @t199 tptp.xS))) % 35.07/35.23 (define @t209 () (not (tptp.aSet0 @t199))) % 35.07/35.23 (define @t210 () (and (or @t209 (not (forall @t8 (or (not (tptp.aElementOf0 @t5 @t199)) @t102)))) @t208)) % 35.07/35.23 (define @t211 () (or @t210 @t207)) % 35.07/35.23 (define @t212 () (and @t211 @t205)) % 35.07/35.23 (define @t213 () (or @t212 @t203)) % 35.07/35.23 (define @t214 () (forall @t165 (or (and (or @t161 (not @t100)) @t157) @t156))) % 35.07/35.23 (define @t215 () (= @t153 @t200)) % 35.07/35.23 (define @t216 () (and @t155 @t201 @t215)) % 35.07/35.23 (define @t217 () (not (= tptp.xK @t206))) % 35.07/35.23 (define @t218 () (and (or @t210 @t217) @t205)) % 35.07/35.23 (define @t219 () (or @t218 @t216)) % 35.07/35.23 (define @t220 () (@list false)) % 35.07/35.23 (define @t221 () (= @t1 @t134)) % 35.07/35.23 (define @t222 () (@var "BOUND_VARIABLE_9780" $$unsorted)) % 35.07/35.23 (define @t223 () (not (forall @t18 (or @t197 (not (forall @t34 (or @t195 (tptp.aElementOf0 @t29 @t222)))) (not (tptp.aSubsetOf0 @t15 @t222)) @t192 (not (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t222 tptp.xK))) @t221)))) % 35.07/35.23 (define @t224 () (not (tptp.isCountable0 @t222))) % 35.07/35.23 (define @t225 () (and (or (not (tptp.aSet0 @t222)) (not (forall @t18 (or (not (tptp.aElementOf0 @t15 @t222)) @t143)))) (not (tptp.aSubsetOf0 @t222 tptp.xS)))) % 35.07/35.23 (define @t226 () (not @t95)) % 35.07/35.23 (define @t227 () (or @t226 @t225 @t224 @t223)) % 35.07/35.23 (define @t228 () (@list @t1 @t222)) % 35.07/35.23 (define @t229 () (forall @t228 @t227)) % 35.07/35.23 (define @t230 () (or @t225 @t224 @t223)) % 35.07/35.23 (define @t231 () (or @t226 @t230)) % 35.07/35.23 (define @t232 () (forall @t228 @t231)) % 35.07/35.23 (define @t233 () (@list @t222)) % 35.07/35.23 (define @t234 () (forall @t233 @t231)) % 35.07/35.23 (define @t235 () (forall @t233 @t230)) % 35.07/35.23 (define @t236 () (or @t226 @t235)) % 35.07/35.23 (define @t237 () (not @t135)) % 35.07/35.23 (define @t238 () (not @t137)) % 35.07/35.23 (define @t239 () (forall @t34 (or @t195 @t86))) % 35.07/35.23 (define @t240 () (not @t239)) % 35.07/35.23 (define @t241 () (or @t197 @t240 @t238 @t192 @t237 @t221)) % 35.07/35.23 (define @t242 () (forall @t18 @t241)) % 35.07/35.23 (define @t243 () (not @t242)) % 35.07/35.23 (define @t244 () (not @t39)) % 35.07/35.23 (define @t245 () (not @t142)) % 35.07/35.23 (define @t246 () (forall @t18 (or (not @t17) @t143))) % 35.07/35.23 (define @t247 () (forall @t8 (or (and (or (not @t19) (not @t246)) @t245) @t244 @t243))) % 35.07/35.23 (define @t248 () (not @t247)) % 35.07/35.23 (define @t249 () (and @t95 @t248)) % 35.07/35.23 (define @t250 () (forall @t3 (not @t249))) % 35.07/35.23 (define @t251 () (not @t250)) % 35.07/35.23 (define @t252 () (and @t19 @t246)) % 35.07/35.23 (define @t253 () (or @t252 @t142)) % 35.07/35.23 (define @t254 () (not @t253)) % 35.07/35.23 (define @t255 () (or @t254 @t244 @t243)) % 35.07/35.23 (define @t256 () (and @t253 @t39 @t242)) % 35.07/35.23 (define @t257 () (forall @t8 (not @t256))) % 35.07/35.23 (define @t258 () (not @t257)) % 35.07/35.23 (define @t259 () (or @t197 @t240 @t238 @t192 @t237)) % 35.07/35.23 (define @t260 () (and @t27 @t239 @t137 @t136 @t135)) % 35.07/35.23 (define @t261 () (or @t197 @t196 @t193 @t192 @t191 (= @t153 @t134))) % 35.07/35.23 (define @t262 () (forall @t18 @t261)) % 35.07/35.23 (define @t263 () (not @t262)) % 35.07/35.23 (define @t264 () (not @t90)) % 35.07/35.23 (define @t265 () (not (tptp.aSubsetOf0 tptp.xS tptp.xS))) % 35.07/35.23 (define @t266 () (not @t92)) % 35.07/35.23 (define @t267 () (forall @t18 (or (not @t143) @t143))) % 35.07/35.23 (define @t268 () (not @t267)) % 35.07/35.23 (define @t269 () (or @t266 @t268)) % 35.07/35.23 (define @t270 () (and @t269 @t265)) % 35.07/35.23 (define @t271 () (tptp.aElementOf0 @t153 tptp.xT)) % 35.07/35.23 (define @t272 () (not @t271)) % 35.07/35.23 (define @t273 () (or @t272 @t270 @t264 @t263)) % 35.07/35.23 (define @t274 () (not @t198)) % 35.07/35.23 (define @t275 () (and @t266 @t265)) % 35.07/35.23 (define @t276 () (or @t272 @t275 @t264 @t274)) % 35.07/35.23 (define @t277 () (@var "BOUND_VARIABLE_9061" $$unsorted)) % 35.07/35.23 (define @t278 () (tptp.aElementOf0 (tptp.sdtlpdtrp0 @t1 @t277) @t81)) % 35.07/35.23 (define @t279 () (not (tptp.aElementOf0 @t277 @t69))) % 35.07/35.23 (define @t280 () (not @t68)) % 35.07/35.23 (define @t281 () (or @t279 @t278)) % 35.07/35.23 (define @t282 () (or @t280 @t281)) % 35.07/35.23 (define @t283 () (forall (@list @t1 @t277) @t282)) % 35.07/35.23 (define @t284 () (@list @t277)) % 35.07/35.23 (define @t285 () (forall @t284 @t282)) % 35.07/35.23 (define @t286 () (forall @t284 @t281)) % 35.07/35.23 (define @t287 () (or @t280 @t286)) % 35.07/35.23 (define @t288 () (forall @t8 (or (not @t71) @t82))) % 35.07/35.23 (define @t289 () (tptp.aElementOf0 @t152 @t93)) % 35.07/35.23 (define @t290 () (tptp.aElementOf0 @t153 @t94)) % 35.07/35.23 (define @t291 () (not @t289)) % 35.07/35.23 (define @t292 () (not @t106)) % 35.07/35.23 (define @t293 () (or @t292 @t291 @t290)) % 35.07/35.23 (define @t294 () (not @t290)) % 35.07/35.23 (define @t295 () (or @t294 @t271)) % 35.07/35.23 (define @t296 () (not @t275)) % 35.07/35.23 (define @t297 () (not (forall @t34 (or (not (tptp.aElementOf0 @t29 @t199)) @t194)))) % 35.07/35.23 (define @t298 () (or @t209 @t297 @t208 @t217 @t205 @t215)) % 35.07/35.23 (define @t299 () (not @t298)) % 35.07/35.23 (define @t300 () (or @t209 @t297 @t208 @t207 @t205 @t202)) % 35.07/35.23 (define @t301 () (not @t300)) % 35.07/35.23 (define @t302 () (@list true)) % 35.07/35.23 (define @t303 () (@list @t298)) % 35.07/35.23 (define @t304 () (not @t218)) % 35.07/35.23 (define @t305 () (not @t216)) % 35.07/35.23 (assume @p1 (forall @t3 (=> @t2 true))) % 35.07/35.23 (assume @p2 (forall @t3 (=> @t4 true))) % 35.07/35.23 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 35.07/35.23 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 35.07/35.23 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 35.07/35.23 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 35.07/35.23 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 35.07/35.23 (assume @p8 (forall @t3 (=> @t13 @t12))) % 35.07/35.23 (assume @p9 (forall @t3 (=> @t13 @t14))) % 35.07/35.23 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 35.07/35.23 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 35.07/35.23 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 35.07/35.23 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 35.07/35.23 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 35.07/35.23 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 35.07/35.23 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 35.07/35.23 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 35.07/35.23 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 35.07/35.23 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 35.07/35.23 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 35.07/35.23 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 35.07/35.23 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 35.07/35.23 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 35.07/35.23 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 35.07/35.23 (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00)))))) % 35.07/35.23 (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23)))) % 35.07/35.23 (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45))))))) % 35.07/35.23 (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43))))) % 35.07/35.23 (assume @p29 (forall @t25 (=> @t47 (=> @t49 true)))) % 35.07/35.23 (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 35.07/35.23 (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00))))) % 35.07/35.23 (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45))))) % 35.07/35.23 (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43)))) % 35.07/35.23 (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1)))) % 35.07/35.23 (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 (tptp.sdtlseqdt0 @t5 @t1)) @t23)))) % 35.07/35.23 (assume @p36 (forall @t28 (=> (and @t44 @t46 @t51) (=> (and @t49 @t50) (tptp.sdtlseqdt0 @t1 @t15))))) % 35.07/35.23 (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1))))) % 35.07/35.23 (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true)))) % 35.07/35.23 (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43)))) % 35.07/35.23 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t52)))) % 35.07/35.23 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t52 tptp.szNzAzT0) @t9)))) % 35.07/35.23 (assume @p42 (forall @t3 (=> @t2 (= @t53 @t10)))) % 35.07/35.23 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> @t54 (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t52)))))))) % 35.07/35.23 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t52)))))) % 35.07/35.23 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t52)))))) % 35.07/35.23 (assume @p46 (forall @t25 (=> @t56 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t52)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t55 @t5))))))) % 35.07/35.23 (assume @p47 (forall @t3 (=> (and @t58 @t14) (forall @t8 (= (= @t5 @t57) (and @t7 (forall @t18 (=> @t16 @t50)))))))) % 35.07/35.23 (assume @p48 (forall @t3 (=> (and @t58 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 35.07/35.23 (assume @p49 (forall @t25 (=> (and @t58 @t60 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t57 @t5) (tptp.aElementOf0 @t59 @t1)) (= @t57 @t59))))) % 35.07/35.23 (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t61) (and @t19 (forall @t18 (= @t17 (and @t51 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 35.07/35.23 (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t61)))) % 35.07/35.23 (assume @p52 (= @t62 tptp.slcrc0)) % 35.07/35.23 (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t63) @t23))))) % 35.07/35.23 (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t61 @t63))))) % 35.07/35.23 (assume @p55 (forall @t3 (=> (and @t58 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t63)))))) % 35.07/35.23 (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t61) @t1)))) % 35.07/35.23 (assume @p57 (forall @t25 (=> @t56 (forall @t18 (= (= @t15 @t66) (and @t27 (forall @t34 (= @t33 (and @t65 (= @t64 @t5)))))))))) % 35.07/35.23 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t66)))))) % 35.07/35.23 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t66 tptp.slcrc0))))))) % 35.07/35.23 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t66)))))) % 35.07/35.23 (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t67 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t67 tptp.slcrc0))) @t26)))))) % 35.07/35.23 (assume @p62 (forall @t25 (=> @t56 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t66) (tptp.isFinite0 @t15)) (exists @t34 (and @t65 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 35.07/35.23 (assume @p63 (forall @t3 (=> @t68 true))) % 35.07/35.23 (assume @p64 (forall @t3 (=> @t68 (tptp.aSet0 @t69)))) % 35.07/35.23 (assume @p65 (forall @t3 (=> @t68 (forall @t8 (=> @t71 (tptp.aElement0 @t70)))))) % 35.07/35.23 (assume @p66 (forall @t25 (=> @t75 (forall @t18 (= (= @t15 @t74) (and @t27 (forall @t34 (= @t33 (and @t73 (= @t72 @t5)))))))))) % 35.07/35.23 (assume @p67 (forall @t25 (=> @t75 (tptp.aSubsetOf0 @t74 @t69)))) % 35.07/35.23 (assume @p68 (forall @t3 (=> @t68 (forall @t8 (=> @t80 (forall @t18 (= (= @t15 @t79) (and @t27 (forall @t34 (= @t33 (exists @t78 (and @t77 (= (tptp.sdtlpdtrp0 @t1 @t76) @t29))))))))))))) % 35.07/35.23 (assume @p69 @t85) % 35.07/35.23 (assume @p70 (forall @t3 (=> @t68 (forall @t8 (=> @t80 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t88 (= @t87 @t5) (forall @t34 (=> @t86 (= (tptp.sdtlpdtrp0 @t15 @t29) @t72))))))))))) % 35.07/35.23 (assume @p71 (forall @t3 (=> @t68 (forall @t8 (=> (and @t80 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t69) @t73 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t72)))) (tptp.isCountable0 @t79))))))) % 35.07/35.23 (assume @p72 (forall @t3 (=> @t68 (=> (and (tptp.isCountable0 @t69) (tptp.isFinite0 @t81)) (and (tptp.aElement0 @t89) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t89))))))) % 35.07/35.23 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 35.07/35.23 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 35.07/35.23 (assume @p75 (and @t92 (forall @t3 (=> @t91 @t44)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) @t90)) % 35.07/35.23 (assume @p76 (and @t106 (forall @t3 (and (=> @t99 (and @t2 @t103 @t101 @t100)) (=> (and @t105 @t100) @t99))) (= @t93 @t98) (tptp.aSet0 @t94) (forall @t3 (= @t96 (exists @t8 (and (tptp.aElementOf0 @t5 @t93) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) @t97 (tptp.aSubsetOf0 @t94 tptp.xT))) % 35.07/35.23 (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t51))) @t60) @t39) (forall @t18 (=> (and @t88 (or (forall @t34 (and (=> @t113 (and (or (and @t117 @t116) @t115) @t114)) (=> (and @t117 @t116 @t115 @t114) @t113))) (= @t87 @t67)) (=> (and (tptp.aSet0 @t111) (forall @t34 (= @t112 (exists @t78 (and (tptp.aElementOf0 @t76 @t87) (= (tptp.sdtlpdtrp0 @t15 @t76) @t29)))))) (or (forall @t34 (=> @t112 @t110)) (tptp.aSubsetOf0 @t111 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t110 (exists @t78 (and (tptp.aSet0 @t76) (forall @t109 (=> (tptp.aElementOf0 @t107 @t76) (tptp.aElementOf0 @t107 @t5))) (tptp.aSubsetOf0 @t76 @t5) (tptp.isCountable0 @t76) (forall @t109 (=> (or (and (or (and (tptp.aSet0 @t107) (forall (@list @t108) (=> (tptp.aElementOf0 @t108 @t107) (tptp.aElementOf0 @t108 @t76)))) (tptp.aSubsetOf0 @t107 @t76)) (= (tptp.sbrdtbr0 @t107) @t1)) (tptp.aElementOf0 @t107 (tptp.slbdtsldtrb0 @t76 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t107) @t29))))))))))))))) % 35.07/35.23 (assume @p78 (= tptp.xK tptp.sz00)) % 35.07/35.23 (assume @p79 (and @t121 (not (exists @t3 @t120)) (forall @t3 (=> @t120 @t91)) (tptp.aSubsetOf0 tptp.slcrc0 tptp.xS) @t119)) % 35.07/35.23 (assume @p80 @t133) % 35.07/35.23 (assume @p81 @t151) % 35.07/35.23 (assume @p82 true) % 35.07/35.23 (step @p83 :rule refl :args (@t156)) % 35.07/35.23 (step @p84 :rule refl :args (@t157)) % 35.07/35.23 (step @p85 :rule eq-symm :args (tptp.xK @t52)) % 35.07/35.23 (step @p86 :rule cong :premises (@p85) :args (@t158)) % 35.07/35.23 (step @p87 :rule refl :args (@t161)) % 35.07/35.23 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t162)) % 35.07/35.23 (step @p89 :rule nary_cong :premises (@p88 @p84) :args (@t163)) % 35.07/35.23 (step @p90 :rule nary_cong :premises (@p89 @p83) :args (@t164)) % 35.07/35.23 (step @p91 :rule cong :premises (@p90) :args ((forall @t165 @t164))) % 35.07/35.23 (step @p92 :rule symm :premises (@p78)) % 35.07/35.23 (step @p93 :rule cong :premises (@p92) :args (@t62)) % 35.07/35.23 (step @p94 :rule symm :premises (@p52)) % 35.07/35.23 (step @p95 :rule trans :premises (@p94 @p93)) % 35.07/35.23 (step @p96 :rule refl :args (tptp.xc)) % 35.07/35.23 (step @p97 :rule cong :premises (@p96 @p95) :args (@t122)) % 35.07/35.23 (step @p98 :rule refl :args (@t123)) % 35.07/35.23 (step @p99 :rule cong :premises (@p98 @p97) :args (@t124)) % 35.07/35.23 (step @p100 :rule refl :args (@t154)) % 35.07/35.23 (step @p101 :rule cong :premises (@p100 @p95) :args (@t166)) % 35.07/35.23 (step @p102 :rule cong :premises (@p101) :args (@t167)) % 35.07/35.23 (step @p103 :rule cong :premises (@p95) :args (@t121)) % 35.07/35.23 (step @p104 :rule nary_cong :premises (@p103 @p102 @p99) :args (@t168)) % 35.07/35.23 (step @p105 :rule refl :args (tptp.xS)) % 35.07/35.23 (step @p106 :rule cong :premises (@p105 @p92) :args (@t118)) % 35.07/35.23 (step @p107 :rule refl :args (@t1)) % 35.07/35.23 (step @p108 :rule cong :premises (@p107 @p106) :args (@t129)) % 35.07/35.23 (step @p109 :rule cong :premises (@p108) :args (@t169)) % 35.07/35.23 (step @p110 :rule refl :args (@t52)) % 35.07/35.23 (step @p111 :rule cong :premises (@p92 @p110) :args (@t170)) % 35.07/35.23 (step @p112 :rule cong :premises (@p111) :args (@t171)) % 35.07/35.23 (step @p113 :rule nary_cong :premises (@p87 @p112) :args (@t172)) % 35.07/35.23 (step @p114 :rule nary_cong :premises (@p113 @p109) :args (@t173)) % 35.07/35.23 (step @p115 :rule nary_cong :premises (@p114 @p104) :args (@t174)) % 35.07/35.23 (step @p116 :rule cong :premises (@p115) :args (@t175)) % 35.07/35.23 (step @p117 :rule trans :premises (@p116 @p91)) % 35.07/35.23 (step @p118 :rule quant-merge-prenex :args ((= (forall @t3 @t177) @t175))) % 35.07/35.23 (step @p119 :rule quant-unused-vars :args ((= @t178 @t124))) % 35.07/35.23 (step @p120 :rule alpha_equiv :args (@t179 (@list @t154) @t180)) % 35.07/35.23 (step @p121 :rule quant-unused-vars :args ((= @t181 @t121))) % 35.07/35.23 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t182)) % 35.07/35.23 (step @p123 :rule quant-miniscope-and :args ((= @t183 @t182))) % 35.07/35.23 (step @p124 :rule trans :premises (@p123 @p122)) % 35.07/35.23 (step @p125 :rule refl :args (@t173)) % 35.07/35.23 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t184)) % 35.07/35.23 (step @p127 :rule quant-miniscope-or :args ((= @t177 @t184))) % 35.07/35.23 (step @p128 :rule trans :premises (@p127 @p126)) % 35.07/35.23 (step @p129 :rule symm :premises (@p128)) % 35.07/35.23 (step @p130 :rule cong :premises (@p129) :args ((forall @t3 (or @t173 @t186)))) % 35.07/35.23 (step @p131 :rule trans :premises (@p130 @p118)) % 35.07/35.23 (step @p132 :rule refl :args (@t186)) % 35.07/35.23 (step @p133 :rule refl :args (@t169)) % 35.07/35.23 (step @p134 :rule refl :args (@t171)) % 35.07/35.23 (step @p135 :rule refl :args (@t159)) % 35.07/35.23 (step @p136 :rule bool-and-de-morgan :args (@t2 @t160 true)) % 35.07/35.23 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((and (not @t187) @t159))) % 35.07/35.23 (step @p138 :rule bool-or-de-morgan :args (@t187 @t101 false)) % 35.07/35.23 (step @p139 :rule trans :premises (@p138 @p137)) % 35.07/35.23 (step @p140 :rule nary_cong :premises (@p139 @p134) :args ((or (not @t188) @t171))) % 35.07/35.23 (step @p141 :rule bool-and-de-morgan :args (@t188 @t170 true)) % 35.07/35.23 (step @p142 :rule trans :premises (@p141 @p140)) % 35.07/35.23 (step @p143 :rule nary_cong :premises (@p142 @p133) :args ((and (not @t189) @t169))) % 35.07/35.23 (step @p144 :rule bool-or-de-morgan :args (@t189 @t129 false)) % 35.07/35.23 (step @p145 :rule trans :premises (@p144 @p143)) % 35.07/35.23 (step @p146 :rule nary_cong :premises (@p145 @p132) :args ((or (not @t190) @t186))) % 35.07/35.23 (step @p147 :rule bool-impl-elim :args (@t190 @t186)) % 35.07/35.23 (step @p148 :rule trans :premises (@p147 @p146)) % 35.07/35.23 (step @p149 :rule cong :premises (@p148) :args ((forall @t3 (=> @t190 @t186)))) % 35.07/35.23 (step @p150 :rule trans :premises (@p149 @p131)) % 35.07/35.23 (step @p151 :rule refl :args (@t124)) % 35.07/35.23 (step @p152 :rule bool-double-not-elim :args (@t185)) % 35.07/35.23 (step @p153 :rule exists-elim :args ((= @t126 (not @t185)))) % 35.07/35.23 (step @p154 :rule cong :premises (@p153) :args (@t127)) % 35.07/35.23 (step @p155 :rule trans :premises (@p154 @p152)) % 35.07/35.23 (step @p156 :rule refl :args (@t121)) % 35.07/35.23 (step @p157 :rule nary_cong :premises (@p156 @p155 @p151) :args (@t128)) % 35.07/35.23 (step @p158 :rule refl :args (@t129)) % 35.07/35.23 (step @p159 :rule eq-symm :args (@t52 tptp.sz00)) % 35.07/35.23 (step @p160 :rule refl :args (@t101)) % 35.07/35.23 (step @p161 :rule bool-impl-elim :args (@t7 @t102)) % 35.07/35.23 (step @p162 :rule cong :premises (@p161) :args (@t103)) % 35.07/35.23 (step @p163 :rule refl :args (@t2)) % 35.07/35.23 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t104)) % 35.07/35.23 (step @p165 :rule nary_cong :premises (@p164 @p160) :args (@t105)) % 35.07/35.23 (step @p166 :rule nary_cong :premises (@p165 @p159) :args (@t130)) % 35.07/35.23 (step @p167 :rule nary_cong :premises (@p166 @p158) :args (@t131)) % 35.07/35.23 (step @p168 :rule cong :premises (@p167 @p157) :args (@t132)) % 35.07/35.23 (step @p169 :rule cong :premises (@p168) :args (@t133)) % 35.07/35.23 (step @p170 :rule trans :premises (@p169 @p150)) % 35.07/35.23 (step @p171 :rule trans :premises (@p170 @p117)) % 35.07/35.23 (step @p172 :rule eq_resolve :premises (@p80 @p171)) % 35.07/35.23 (step @p173 :rule eq-symm :args (@t200 @t153)) % 35.07/35.23 (step @p174 :rule refl :args (@t201)) % 35.07/35.23 (step @p175 :rule refl :args (@t155)) % 35.07/35.23 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173) :args (@t203)) % 35.07/35.23 (step @p177 :rule refl :args (@t205)) % 35.07/35.23 (step @p178 :rule eq-symm :args (@t206 tptp.xK)) % 35.07/35.23 (step @p179 :rule cong :premises (@p178) :args (@t207)) % 35.07/35.23 (step @p180 :rule refl :args (@t210)) % 35.07/35.23 (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t211)) % 35.07/35.23 (step @p182 :rule nary_cong :premises (@p181 @p177) :args (@t212)) % 35.07/35.23 (step @p183 :rule nary_cong :premises (@p182 @p176) :args (@t213)) % 35.07/35.23 (step @p184 :rule refl :args (@t214)) % 35.07/35.23 (step @p185 :rule cong :premises (@p184 @p183) :args ((=> @t214 @t213))) % 35.07/35.23 (assume-push @p407 @t214) % 35.07/35.23 (step @p187 :rule instantiate :premises (@p172) :args ((@list @t199 tptp.xK))) % 35.07/35.23 (step-pop @p408 :rule scope :premises (@p187)) % 35.07/35.23 (step @p188 :rule process_scope :premises (@p408) :args (@t213)) % 35.07/35.23 (step @p190 :rule eq_resolve :premises (@p188 @p185)) % 35.07/35.23 (step @p191 :rule implies_elim :premises (@p190)) % 35.07/35.23 (step @p192 :rule chain_m_resolution :premises (@p191 @p172) :args (@t219 @t220 (@list @t214))) % 35.07/35.23 (step @p193 :rule bool-double-not-elim :args (@t229)) % 35.07/35.23 (step @p194 :rule aci_norm :args ((= @t231 @t227))) % 35.07/35.23 (step @p195 :rule cong :premises (@p194) :args (@t232)) % 35.07/35.23 (step @p196 :rule quant-merge-prenex :args ((= (forall @t3 @t234) @t232))) % 35.07/35.23 (step @p197 :rule alpha_equiv :args (@t235 (@list @t222) @t180)) % 35.07/35.23 (step @p198 :rule refl :args (@t226)) % 35.07/35.23 (step @p199 :rule nary_cong :premises (@p198 @p197) :args (@t236)) % 35.07/35.23 (step @p200 :rule quant-miniscope-or :args ((= @t234 @t236))) % 35.07/35.23 (step @p201 :rule trans :premises (@p200 @p199)) % 35.07/35.23 (step @p202 :rule symm :premises (@p201)) % 35.07/35.23 (step @p203 :rule cong :premises (@p202) :args ((forall @t3 (or @t226 @t247)))) % 35.07/35.23 (step @p204 :rule trans :premises (@p203 @p196)) % 35.07/35.23 (step @p205 :rule trans :premises (@p204 @p195)) % 35.07/35.23 (step @p206 :rule bool-double-not-elim :args (@t247)) % 35.07/35.23 (step @p207 :rule nary_cong :premises (@p198 @p206) :args ((or @t226 (not @t248)))) % 35.07/35.23 (step @p208 :rule bool-and-de-morgan :args (@t95 @t248 true)) % 35.07/35.23 (step @p209 :rule trans :premises (@p208 @p207)) % 35.07/35.23 (step @p210 :rule cong :premises (@p209) :args (@t250)) % 35.07/35.23 (step @p211 :rule trans :premises (@p210 @p205)) % 35.07/35.23 (step @p212 :rule cong :premises (@p211) :args (@t251)) % 35.07/35.23 (step @p213 :rule exists-elim :args ((= (exists @t3 @t249) @t251))) % 35.07/35.23 (step @p214 :rule trans :premises (@p213 @p212)) % 35.07/35.23 (step @p215 :rule refl :args (@t243)) % 35.07/35.23 (step @p216 :rule refl :args (@t244)) % 35.07/35.23 (step @p217 :rule refl :args (@t245)) % 35.07/35.23 (step @p218 :rule bool-and-de-morgan :args (@t19 @t246 true)) % 35.07/35.23 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((and (not @t252) @t245))) % 35.07/35.23 (step @p220 :rule bool-or-de-morgan :args (@t252 @t142 false)) % 35.07/35.23 (step @p221 :rule trans :premises (@p220 @p219)) % 35.07/35.23 (step @p222 :rule nary_cong :premises (@p221 @p216 @p215) :args (@t255)) % 35.07/35.23 (step @p223 :rule aci_norm :args ((= (or @t254 (or @t244 @t243)) @t255))) % 35.07/35.23 (step @p224 :rule bool-and-de-morgan :args (@t39 @t242 true)) % 35.07/35.23 (step @p225 :rule refl :args (@t254)) % 35.07/35.23 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t254 (not (and @t39 @t242))))) % 35.07/35.23 (step @p227 :rule bool-and-de-morgan :args (@t253 @t39 (and @t242))) % 35.07/35.23 (step @p228 :rule trans :premises (@p227 @p226)) % 35.07/35.23 (step @p229 :rule trans :premises (@p228 @p223)) % 35.07/35.23 (step @p230 :rule trans :premises (@p229 @p222)) % 35.07/35.23 (step @p231 :rule cong :premises (@p230) :args (@t257)) % 35.07/35.23 (step @p232 :rule cong :premises (@p231) :args (@t258)) % 35.07/35.23 (step @p233 :rule exists-elim :args ((= (exists @t8 @t256) @t258))) % 35.07/35.23 (step @p234 :rule trans :premises (@p233 @p232)) % 35.07/35.23 (step @p235 :rule aci_norm :args ((= (or @t259 @t221) @t241))) % 35.07/35.23 (step @p236 :rule refl :args (@t221)) % 35.07/35.23 (step @p237 :rule aci_norm :args ((= (or @t197 (or @t240 (or @t238 (or @t192 @t237)))) @t259))) % 35.07/35.23 (step @p238 :rule bool-and-de-morgan :args (@t136 @t135 true)) % 35.07/35.23 (step @p239 :rule refl :args (@t238)) % 35.07/35.23 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t238 (not (and @t136 @t135))))) % 35.07/35.23 (step @p241 :rule bool-and-de-morgan :args (@t137 @t136 (and @t135))) % 35.07/35.23 (step @p242 :rule trans :premises (@p241 @p240)) % 35.07/35.23 (step @p243 :rule refl :args (@t240)) % 35.07/35.23 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or @t240 (not (and @t137 @t136 @t135))))) % 35.07/35.23 (step @p245 :rule bool-and-de-morgan :args (@t239 @t137 (and @t136 @t135))) % 35.07/35.23 (step @p246 :rule trans :premises (@p245 @p244)) % 35.07/35.23 (step @p247 :rule refl :args (@t197)) % 35.07/35.23 (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or @t197 (not (and @t239 @t137 @t136 @t135))))) % 35.07/35.23 (step @p249 :rule bool-and-de-morgan :args (@t27 @t239 (and @t137 @t136 @t135))) % 35.07/35.23 (step @p250 :rule trans :premises (@p249 @p248)) % 35.07/35.23 (step @p251 :rule trans :premises (@p250 @p237)) % 35.07/35.23 (step @p252 :rule nary_cong :premises (@p251 @p236) :args ((or (not @t260) @t221))) % 35.07/35.23 (step @p253 :rule trans :premises (@p252 @p235)) % 35.07/35.23 (step @p254 :rule bool-impl-elim :args (@t260 @t221)) % 35.07/35.23 (step @p255 :rule trans :premises (@p254 @p253)) % 35.07/35.23 (step @p256 :rule cong :premises (@p255) :args ((forall @t18 (=> @t260 @t221)))) % 35.07/35.23 (step @p257 :rule eq-symm :args (@t134 @t1)) % 35.07/35.23 (step @p258 :rule refl :args (@t135)) % 35.07/35.23 (step @p259 :rule refl :args (@t136)) % 35.07/35.23 (step @p260 :rule refl :args (@t137)) % 35.07/35.23 (step @p261 :rule bool-impl-elim :args (@t33 @t86)) % 35.07/35.23 (step @p262 :rule cong :premises (@p261) :args (@t138)) % 35.07/35.23 (step @p263 :rule refl :args (@t27)) % 35.07/35.23 (step @p264 :rule nary_cong :premises (@p263 @p262 @p260 @p259 @p258) :args (@t139)) % 35.07/35.23 (step @p265 :rule cong :premises (@p264 @p257) :args (@t140)) % 35.07/35.23 (step @p266 :rule cong :premises (@p265) :args (@t141)) % 35.07/35.23 (step @p267 :rule trans :premises (@p266 @p256)) % 35.07/35.23 (step @p268 :rule refl :args (@t39)) % 35.07/35.23 (step @p269 :rule refl :args (@t142)) % 35.07/35.23 (step @p270 :rule bool-impl-elim :args (@t17 @t143)) % 35.07/35.23 (step @p271 :rule cong :premises (@p270) :args (@t144)) % 35.07/35.23 (step @p272 :rule refl :args (@t19)) % 35.07/35.23 (step @p273 :rule nary_cong :premises (@p272 @p271) :args (@t145)) % 35.07/35.23 (step @p274 :rule nary_cong :premises (@p273 @p269) :args (@t146)) % 35.07/35.23 (step @p275 :rule nary_cong :premises (@p274 @p268 @p267) :args (@t147)) % 35.07/35.23 (step @p276 :rule cong :premises (@p275) :args (@t148)) % 35.07/35.23 (step @p277 :rule trans :premises (@p276 @p234)) % 35.07/35.23 (step @p278 :rule refl :args (@t95)) % 35.07/35.23 (step @p279 :rule nary_cong :premises (@p278 @p277) :args (@t149)) % 35.07/35.23 (step @p280 :rule cong :premises (@p279) :args (@t150)) % 35.07/35.23 (step @p281 :rule trans :premises (@p280 @p214)) % 35.07/35.23 (step @p282 :rule cong :premises (@p281) :args (@t151)) % 35.07/35.23 (step @p283 :rule trans :premises (@p282 @p193)) % 35.07/35.23 (step @p284 :rule eq_resolve :premises (@p81 @p283)) % 35.07/35.23 (step @p285 :rule eq-symm :args (@t153 @t134)) % 35.07/35.23 (step @p286 :rule refl :args (@t191)) % 35.07/35.23 (step @p287 :rule refl :args (@t192)) % 35.07/35.23 (step @p288 :rule refl :args (@t193)) % 35.07/35.23 (step @p289 :rule refl :args (@t196)) % 35.07/35.23 (step @p290 :rule refl :args (@t197)) % 35.07/35.23 (step @p291 :rule nary_cong :premises (@p290 @p289 @p288 @p287 @p286 @p285) :args (@t261)) % 35.07/35.23 (step @p292 :rule cong :premises (@p291) :args (@t262)) % 35.07/35.23 (step @p293 :rule cong :premises (@p292) :args (@t263)) % 35.07/35.23 (step @p294 :rule refl :args (@t264)) % 35.07/35.23 (step @p295 :rule refl :args (@t265)) % 35.07/35.23 (step @p296 :rule aci_norm :args ((= (or @t266 false) @t266))) % 35.07/35.23 (step @p297 :rule evaluate :args ((not true))) % 35.07/35.23 (step @p298 :rule quant-unused-vars :args ((= (forall @t18 true) true))) % 35.07/35.23 (step @p299 :rule bool-or-taut2 :args (false @t143 false false)) % 35.07/35.23 (step @p300 :rule cong :premises (@p299) :args (@t267)) % 35.07/35.23 (step @p301 :rule trans :premises (@p300 @p298)) % 35.07/35.23 (step @p302 :rule cong :premises (@p301) :args (@t268)) % 35.07/35.23 (step @p303 :rule trans :premises (@p302 @p297)) % 35.07/35.23 (step @p304 :rule refl :args (@t266)) % 35.07/35.23 (step @p305 :rule nary_cong :premises (@p304 @p303) :args (@t269)) % 35.07/35.23 (step @p306 :rule trans :premises (@p305 @p296)) % 35.07/35.23 (step @p307 :rule nary_cong :premises (@p306 @p295) :args (@t270)) % 35.07/35.23 (step @p308 :rule refl :args (@t272)) % 35.07/35.23 (step @p309 :rule nary_cong :premises (@p308 @p307 @p294 @p293) :args (@t273)) % 35.07/35.23 (step @p310 :rule refl :args (@t229)) % 35.07/35.23 (step @p311 :rule cong :premises (@p310 @p309) :args ((=> @t229 @t273))) % 35.07/35.23 (assume-push @p409 @t229) % 35.07/35.23 (step @p313 :rule instantiate :premises (@p284) :args ((@list @t153 tptp.xS))) % 35.07/35.23 (step-pop @p410 :rule scope :premises (@p313)) % 35.07/35.23 (step @p314 :rule process_scope :premises (@p410) :args (@t273)) % 35.07/35.23 (step @p316 :rule eq_resolve :premises (@p314 @p311)) % 35.07/35.23 (step @p317 :rule implies_elim :premises (@p316)) % 35.07/35.23 (step @p318 :rule chain_m_resolution :premises (@p317 @p284) :args (@t276 @t220 (@list @t229))) % 35.07/35.23 (step @p319 :rule bool-impl-elim :args (@t96 @t95)) % 35.07/35.23 (step @p320 :rule cong :premises (@p319) :args (@t97)) % 35.07/35.23 (step @p321 :rule and_elim :premises (@p76) :args (5)) % 35.07/35.23 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 35.07/35.23 (step @p323 :rule instantiate :premises (@p322) :args ((@list @t153))) % 35.07/35.23 (step @p324 :rule aci_norm :args ((= @t282 (or @t280 @t279 @t278)))) % 35.07/35.23 (step @p325 :rule cong :premises (@p324) :args (@t283)) % 35.07/35.23 (step @p326 :rule quant-merge-prenex :args ((= (forall @t3 @t285) @t283))) % 35.07/35.23 (step @p327 :rule alpha_equiv :args (@t286 (@list @t277) @t180)) % 35.07/35.23 (step @p328 :rule refl :args (@t280)) % 35.07/35.23 (step @p329 :rule nary_cong :premises (@p328 @p327) :args (@t287)) % 35.07/35.23 (step @p330 :rule quant-miniscope-or :args ((= @t285 @t287))) % 35.07/35.23 (step @p331 :rule trans :premises (@p330 @p329)) % 35.07/35.23 (step @p332 :rule symm :premises (@p331)) % 35.07/35.23 (step @p333 :rule cong :premises (@p332) :args ((forall @t3 (or @t280 @t288)))) % 35.07/35.23 (step @p334 :rule trans :premises (@p333 @p326)) % 35.07/35.23 (step @p335 :rule trans :premises (@p334 @p325)) % 35.07/35.23 (step @p336 :rule bool-impl-elim :args (@t68 @t288)) % 35.07/35.23 (step @p337 :rule cong :premises (@p336) :args ((forall @t3 (=> @t68 @t288)))) % 35.07/35.23 (step @p338 :rule trans :premises (@p337 @p335)) % 35.07/35.23 (step @p339 :rule bool-impl-elim :args (@t71 @t82)) % 35.07/35.23 (step @p340 :rule cong :premises (@p339) :args (@t83)) % 35.07/35.23 (step @p341 :rule refl :args (@t68)) % 35.07/35.23 (step @p342 :rule cong :premises (@p341 @p340) :args (@t84)) % 35.07/35.23 (step @p343 :rule cong :premises (@p342) :args (@t85)) % 35.07/35.23 (step @p344 :rule trans :premises (@p343 @p338)) % 35.07/35.23 (step @p345 :rule eq_resolve :premises (@p69 @p344)) % 35.07/35.23 (step @p346 :rule instantiate :premises (@p345) :args ((@list tptp.xc @t152))) % 35.07/35.23 (step @p347 :rule cong :premises (@p95 @p106) :args (@t119)) % 35.07/35.23 (step @p348 :rule and_elim :premises (@p79) :args (4)) % 35.07/35.23 (step @p349 :rule eq_resolve :premises (@p348 @p347)) % 35.07/35.23 (step @p350 :rule true_intro :premises (@p349)) % 35.07/35.23 (step @p351 :rule and_elim :premises (@p76) :args (2)) % 35.07/35.23 (step @p352 :rule refl :args (@t152)) % 35.07/35.23 (step @p353 :rule cong :premises (@p352 @p351) :args (@t289)) % 35.07/35.23 (step @p354 :rule trans :premises (@p353 @p350)) % 35.07/35.23 (step @p355 :rule true_elim :premises (@p354)) % 35.07/35.23 (step @p356 :rule and_elim :premises (@p76) :args (0)) % 35.07/35.23 (step @p357 :rule cnf_or_pos :args (@t293)) % 35.07/35.23 (step @p358 :rule reordering :premises (@p357) :args ((or @t292 @t291 @t290 (not @t293)))) % 35.07/35.23 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p355 @p346) :args (@t290 (@list false false false) (@list @t106 @t289 @t293))) % 35.07/35.23 (step @p360 :rule cnf_or_pos :args (@t295)) % 35.07/35.23 (step @p361 :rule reordering :premises (@p360) :args ((or @t294 @t271 (not @t295)))) % 35.07/35.23 (step @p362 :rule chain_m_resolution :premises (@p361 @p359 @p323) :args (@t271 (@list false false) (@list @t290 @t295))) % 35.07/35.23 (step @p363 :rule and_elim :premises (@p75) :args (0)) % 35.07/35.23 (step @p364 :rule cnf_and_pos :args (@t275 0)) % 35.07/35.23 (step @p365 :rule reordering :premises (@p364) :args ((or @t266 @t296))) % 35.07/35.23 (step @p366 :rule chain_m_resolution :premises (@p365 @p363) :args (@t296 @t220 (@list @t92))) % 35.07/35.23 (step @p367 :rule and_elim :premises (@p75) :args (3)) % 35.07/35.23 (step @p368 :rule cnf_or_pos :args (@t276)) % 35.07/35.23 (step @p369 :rule reordering :premises (@p368) :args ((or @t264 @t275 @t272 @t274 (not @t276)))) % 35.07/35.23 (step @p370 :rule chain_m_resolution :premises (@p369 @p367 @p366 @p362 @p318) :args (@t274 (@list false true false false) (@list @t90 @t275 @t271 @t276))) % 35.07/35.23 (step @p371 :rule refl :args (@t299)) % 35.07/35.23 (step @p372 :rule bool-double-not-elim :args (@t198)) % 35.07/35.23 (step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or (not @t274) @t299))) % 35.07/35.23 (step @p374 :rule refl :args (@t208)) % 35.07/35.23 (step @p375 :rule refl :args (@t297)) % 35.07/35.23 (step @p376 :rule refl :args (@t209)) % 35.07/35.23 (step @p377 :rule nary_cong :premises (@p376 @p375 @p374 @p179 @p177 @p173) :args (@t300)) % 35.07/35.23 (step @p378 :rule cong :premises (@p377) :args (@t301)) % 35.07/35.23 (step @p379 :rule refl :args (@t274)) % 35.07/35.23 (step @p380 :rule cong :premises (@p379 @p378) :args ((=> @t274 @t301))) % 35.07/35.23 (assume-push @p411 @t274) % 35.07/35.23 (step @p382 :rule skolemize :premises (@p370)) % 35.07/35.23 (step-pop @p412 :rule scope :premises (@p382)) % 35.07/35.23 (step @p383 :rule process_scope :premises (@p412) :args (@t301)) % 35.07/35.23 (step @p385 :rule eq_resolve :premises (@p383 @p380)) % 35.07/35.23 (step @p386 :rule implies_elim :premises (@p385)) % 35.07/35.23 (step @p387 :rule eq_resolve :premises (@p386 @p373)) % 35.07/35.23 (step @p388 :rule chain_m_resolution :premises (@p387 @p370) :args (@t299 @t302 (@list @t198))) % 35.07/35.23 (step @p389 :rule bool-double-not-elim :args (@t204)) % 35.07/35.23 (step @p390 :rule refl :args (@t298)) % 35.07/35.23 (step @p391 :rule nary_cong :premises (@p390 @p389) :args ((or @t298 (not @t205)))) % 35.07/35.23 (step @p392 :rule cnf_or_neg :args (@t298 4)) % 35.07/35.23 (step @p393 :rule eq_resolve :premises (@p392 @p391)) % 35.07/35.23 (step @p394 :rule reordering :premises (@p393) :args ((or @t204 @t298))) % 35.07/35.23 (step @p395 :rule chain_m_resolution :premises (@p394 @p388) :args (@t204 @t302 @t303)) % 35.07/35.23 (step @p396 :rule cnf_and_pos :args (@t218 1)) % 35.07/35.23 (step @p397 :rule reordering :premises (@p396) :args ((or @t205 @t304))) % 35.07/35.23 (step @p398 :rule chain_m_resolution :premises (@p397 @p395) :args (@t304 @t220 (@list @t204))) % 35.07/35.23 (step @p399 :rule cnf_or_neg :args (@t298 5)) % 35.07/35.23 (step @p400 :rule chain_m_resolution :premises (@p399 @p388) :args ((not @t215) @t302 @t303)) % 35.07/35.23 (step @p401 :rule cnf_and_pos :args (@t216 2)) % 35.07/35.23 (step @p402 :rule reordering :premises (@p401) :args ((or @t215 @t305))) % 35.07/35.23 (step @p403 :rule chain_m_resolution :premises (@p402 @p400) :args (@t305 @t302 (@list @t215))) % 35.07/35.23 (step @p404 :rule cnf_or_pos :args (@t219)) % 35.07/35.23 (step @p405 :rule reordering :premises (@p404) :args ((or @t218 @t216 (not @t219)))) % 35.07/35.23 (step @p406 false :rule chain_m_resolution :premises (@p405 @p403 @p398 @p192) :args (false (@list true true false) (@list @t216 @t218 @t219))) % 35.07/35.23 ) % 35.07/35.23 % SZS output end Proof % 35.07/35.24 % cvc5 exiting %------------------------------------------------------------------------------