%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM612+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 : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:40:00 AM UTC 2026 % Result : Theorem 18.73s 18.92s % Output : Proof 18.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM612+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:37:28 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 18.73/18.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 18.73/18.92 --- Run --no-e-matching --full-saturate-quant at 6... % 18.73/18.92 % SZS status Theorem % 18.73/18.92 % SZS output start Proof % 18.73/18.92 ( % 18.73/18.92 (declare-sort $$unsorted 0) % 18.73/18.92 (declare-const tptp.xp $$unsorted) % 18.73/18.92 (declare-const tptp.xQ $$unsorted) % 18.73/18.92 (declare-const tptp.xe $$unsorted) % 18.73/18.92 (declare-const tptp.xP $$unsorted) % 18.73/18.92 (declare-const tptp.xC $$unsorted) % 18.73/18.92 (declare-const tptp.xN $$unsorted) % 18.73/18.92 (declare-const tptp.sz00 $$unsorted) % 18.73/18.92 (declare-const tptp.xc $$unsorted) % 18.73/18.92 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 18.73/18.92 (declare-const tptp.szNzAzT0 $$unsorted) % 18.73/18.92 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 18.73/18.92 (declare-const tptp.xd $$unsorted) % 18.73/18.92 (declare-const tptp.xk $$unsorted) % 18.73/18.92 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 18.73/18.92 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 18.73/18.92 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 18.73/18.92 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 18.73/18.92 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 18.73/18.92 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 18.73/18.92 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 18.73/18.92 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.xK $$unsorted) % 18.73/18.92 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.xT $$unsorted) % 18.73/18.92 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.xO $$unsorted) % 18.73/18.92 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.xS $$unsorted) % 18.73/18.92 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.slcrc0 $$unsorted) % 18.73/18.92 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 18.73/18.92 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 18.73/18.92 (define @t1 () (@var "W0" $$unsorted)) % 18.73/18.92 (define @t2 () (tptp.aSet0 @t1)) % 18.73/18.92 (define @t3 () (@list @t1)) % 18.73/18.92 (define @t4 () (tptp.aElement0 @t1)) % 18.73/18.92 (define @t5 () (@var "W1" $$unsorted)) % 18.73/18.92 (define @t6 () (tptp.aElement0 @t5)) % 18.73/18.92 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 18.73/18.92 (define @t8 () (@list @t5)) % 18.73/18.92 (define @t9 () (tptp.isFinite0 @t1)) % 18.73/18.92 (define @t10 () (= @t1 tptp.slcrc0)) % 18.73/18.92 (define @t11 () (tptp.isCountable0 @t1)) % 18.73/18.92 (define @t12 () (not @t9)) % 18.73/18.92 (define @t13 () (and @t2 @t11)) % 18.73/18.92 (define @t14 () (not @t10)) % 18.73/18.92 (define @t15 () (@var "W2" $$unsorted)) % 18.73/18.92 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 18.73/18.92 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 18.73/18.92 (define @t18 () (@list @t15)) % 18.73/18.92 (define @t19 () (forall @t18 (=> @t17 @t16))) % 18.73/18.92 (define @t20 () (tptp.aSet0 @t5)) % 18.73/18.92 (define @t21 () (and @t20 @t19)) % 18.73/18.92 (define @t22 () (tptp.aSubsetOf0 @t5 @t1)) % 18.73/18.92 (define @t23 () (= @t22 @t21)) % 18.73/18.92 (define @t24 () (forall @t8 @t23)) % 18.73/18.92 (define @t25 () (=> @t2 @t24)) % 18.73/18.92 (define @t26 () (forall @t3 @t25)) % 18.73/18.92 (define @t27 () (tptp.isFinite0 @t5)) % 18.73/18.92 (define @t28 () (forall @t8 (=> @t22 @t27))) % 18.73/18.92 (define @t29 () (and @t2 @t9)) % 18.73/18.92 (define @t30 () (=> @t29 @t28)) % 18.73/18.92 (define @t31 () (forall @t3 @t30)) % 18.73/18.92 (define @t32 () (= @t1 @t5)) % 18.73/18.92 (define @t33 () (tptp.aSubsetOf0 @t1 @t5)) % 18.73/18.92 (define @t34 () (@list @t1 @t5)) % 18.73/18.92 (define @t35 () (tptp.aSubsetOf0 @t5 @t15)) % 18.73/18.92 (define @t36 () (tptp.aSet0 @t15)) % 18.73/18.92 (define @t37 () (@list @t1 @t5 @t15)) % 18.73/18.92 (define @t38 () (@var "W3" $$unsorted)) % 18.73/18.92 (define @t39 () (= @t38 @t5)) % 18.73/18.92 (define @t40 () (tptp.aElementOf0 @t38 @t1)) % 18.73/18.92 (define @t41 () (tptp.aElement0 @t38)) % 18.73/18.92 (define @t42 () (tptp.aElementOf0 @t38 @t15)) % 18.73/18.92 (define @t43 () (@list @t38)) % 18.73/18.92 (define @t44 () (tptp.sdtpldt0 @t1 @t5)) % 18.73/18.92 (define @t45 () (and @t2 @t6)) % 18.73/18.92 (define @t46 () (tptp.sdtmndt0 @t1 @t5)) % 18.73/18.92 (define @t47 () (tptp.sdtpldt0 @t5 @t1)) % 18.73/18.92 (define @t48 () (tptp.isCountable0 @t5)) % 18.73/18.92 (define @t49 () (and @t20 @t48)) % 18.73/18.92 (define @t50 () (tptp.sdtmndt0 @t5 @t1)) % 18.73/18.92 (define @t51 () (and @t20 @t27)) % 18.73/18.92 (define @t52 () (tptp.aSet0 tptp.szNzAzT0)) % 18.73/18.92 (define @t53 () (tptp.szszuzczcdt0 @t1)) % 18.73/18.92 (define @t54 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 18.73/18.92 (define @t55 () (tptp.szszuzczcdt0 @t5)) % 18.73/18.92 (define @t56 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 18.73/18.92 (define @t57 () (and @t54 @t56)) % 18.73/18.92 (define @t58 () (= @t1 tptp.sz00)) % 18.73/18.92 (define @t59 () (tptp.sdtlseqdt0 @t1 @t5)) % 18.73/18.92 (define @t60 () (tptp.sdtlseqdt0 @t5 @t1)) % 18.73/18.92 (define @t61 () (tptp.sdtlseqdt0 @t5 @t15)) % 18.73/18.92 (define @t62 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 18.73/18.92 (define @t63 () (tptp.sbrdtbr0 @t1)) % 18.73/18.92 (define @t64 () (tptp.aElementOf0 @t63 tptp.szNzAzT0)) % 18.73/18.92 (define @t65 () (=> @t2 (= @t64 @t9))) % 18.73/18.92 (define @t66 () (forall @t3 @t65)) % 18.73/18.92 (define @t67 () (not @t7)) % 18.73/18.92 (define @t68 () (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t46))) % 18.73/18.92 (define @t69 () (and @t9 @t7)) % 18.73/18.92 (define @t70 () (=> @t69 (= @t68 @t63))) % 18.73/18.92 (define @t71 () (forall @t8 @t70)) % 18.73/18.92 (define @t72 () (=> @t2 @t71)) % 18.73/18.92 (define @t73 () (forall @t3 @t72)) % 18.73/18.92 (define @t74 () (and @t2 @t56)) % 18.73/18.92 (define @t75 () (tptp.szmzizndt0 @t1)) % 18.73/18.92 (define @t76 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 18.73/18.92 (define @t77 () (tptp.szmzizndt0 @t5)) % 18.73/18.92 (define @t78 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 18.73/18.92 (define @t79 () (tptp.slbdtrb0 @t1)) % 18.73/18.92 (define @t80 () (tptp.slbdtrb0 @t5)) % 18.73/18.92 (define @t81 () (tptp.sbrdtbr0 @t38)) % 18.73/18.92 (define @t82 () (tptp.aSubsetOf0 @t38 @t1)) % 18.73/18.92 (define @t83 () (and @t82 (= @t81 @t5))) % 18.73/18.92 (define @t84 () (= @t42 @t83)) % 18.73/18.92 (define @t85 () (forall @t43 @t84)) % 18.73/18.92 (define @t86 () (and @t36 @t85)) % 18.73/18.92 (define @t87 () (tptp.slbdtsldtrb0 @t1 @t5)) % 18.73/18.92 (define @t88 () (= @t15 @t87)) % 18.73/18.92 (define @t89 () (= @t88 @t86)) % 18.73/18.92 (define @t90 () (forall @t18 @t89)) % 18.73/18.92 (define @t91 () (=> @t74 @t90)) % 18.73/18.92 (define @t92 () (forall @t34 @t91)) % 18.73/18.92 (define @t93 () (tptp.slbdtsldtrb0 @t5 @t1)) % 18.73/18.92 (define @t94 () (tptp.aFunction0 @t1)) % 18.73/18.92 (define @t95 () (tptp.szDzozmdt0 @t1)) % 18.73/18.92 (define @t96 () (tptp.sdtlpdtrp0 @t1 @t5)) % 18.73/18.92 (define @t97 () (tptp.aElementOf0 @t5 @t95)) % 18.73/18.92 (define @t98 () (tptp.sdtlpdtrp0 @t1 @t38)) % 18.73/18.92 (define @t99 () (tptp.aElementOf0 @t38 @t95)) % 18.73/18.92 (define @t100 () (tptp.sdtlbdtrb0 @t1 @t5)) % 18.73/18.92 (define @t101 () (and @t94 @t6)) % 18.73/18.92 (define @t102 () (@var "W4" $$unsorted)) % 18.73/18.92 (define @t103 () (@list @t102)) % 18.73/18.92 (define @t104 () (tptp.sdtlcdtrc0 @t1 @t5)) % 18.73/18.92 (define @t105 () (tptp.aSubsetOf0 @t5 @t95)) % 18.73/18.92 (define @t106 () (tptp.sdtlcdtrc0 @t1 @t95)) % 18.73/18.92 (define @t107 () (tptp.szDzozmdt0 @t15)) % 18.73/18.92 (define @t108 () (tptp.aFunction0 @t15)) % 18.73/18.92 (define @t109 () (tptp.szDzizrdt0 @t1)) % 18.73/18.92 (define @t110 () (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 18.73/18.92 (define @t111 () (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0)) % 18.73/18.92 (define @t112 () (tptp.szDzozmdt0 tptp.xc)) % 18.73/18.92 (define @t113 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 18.73/18.92 (define @t114 () (= @t112 @t113)) % 18.73/18.92 (define @t115 () (@var "W5" $$unsorted)) % 18.73/18.92 (define @t116 () (tptp.szszuzczcdt0 tptp.xk)) % 18.73/18.92 (define @t117 () (tptp.sdtlpdtrp0 tptp.xN @t53)) % 18.73/18.92 (define @t118 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 18.73/18.92 (define @t119 () (tptp.szmzizndt0 @t118)) % 18.73/18.92 (define @t120 () (tptp.sdtmndt0 @t118 @t119)) % 18.73/18.92 (define @t121 () (and (tptp.aSubsetOf0 @t118 tptp.szNzAzT0) (tptp.isCountable0 @t118))) % 18.73/18.92 (define @t122 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 18.73/18.92 (define @t123 () (tptp.szDzozmdt0 tptp.xN)) % 18.73/18.92 (define @t124 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 18.73/18.92 (define @t125 () (tptp.sdtpldt0 @t5 @t119)) % 18.73/18.92 (define @t126 () (tptp.slbdtsldtrb0 @t120 tptp.xk)) % 18.73/18.92 (define @t127 () (and @t20 (tptp.aElementOf0 @t5 @t126))) % 18.73/18.92 (define @t128 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 18.73/18.92 (define @t129 () (tptp.sdtlpdtrp0 @t128 @t5)) % 18.73/18.92 (define @t130 () (tptp.szDzozmdt0 @t128)) % 18.73/18.92 (define @t131 () (tptp.szDzozmdt0 tptp.xC)) % 18.73/18.92 (define @t132 () (tptp.aElementOf0 @t5 tptp.xT)) % 18.73/18.92 (define @t133 () (tptp.slbdtsldtrb0 @t117 tptp.xk)) % 18.73/18.92 (define @t134 () (tptp.szDzozmdt0 tptp.xd)) % 18.73/18.92 (define @t135 () (tptp.szDzizrdt0 tptp.xd)) % 18.73/18.92 (define @t136 () (tptp.sdtlbdtrb0 tptp.xd @t135)) % 18.73/18.92 (define @t137 () (tptp.aSet0 tptp.xO)) % 18.73/18.92 (define @t138 () (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) % 18.73/18.92 (define @t139 () (tptp.aElementOf0 tptp.xQ @t112)) % 18.73/18.92 (define @t140 () (tptp.szmzizndt0 tptp.xQ)) % 18.73/18.92 (define @t141 () (tptp.sdtmndt0 tptp.xQ @t140)) % 18.73/18.92 (define @t142 () (tptp.aSet0 tptp.xP)) % 18.73/18.92 (define @t143 () (tptp.aElementOf0 tptp.xp tptp.xQ)) % 18.73/18.92 (define @t144 () (tptp.aSubsetOf0 tptp.xP tptp.xQ)) % 18.73/18.92 (define @t145 () (tptp.sbrdtbr0 tptp.xP)) % 18.73/18.92 (define @t146 () (tptp.aElementOf0 @t145 tptp.szNzAzT0)) % 18.73/18.92 (define @t147 () (tptp.sbrdtbr0 tptp.xQ)) % 18.73/18.92 (define @t148 () (tptp.szszuzczcdt0 @t145)) % 18.73/18.92 (define @t149 () (= @t148 @t147)) % 18.73/18.92 (define @t150 () (and @t149 @t146)) % 18.73/18.92 (define @t151 () (not @t150)) % 18.73/18.92 (define @t152 () (@var "BOUND_VARIABLE_8261" $$unsorted)) % 18.73/18.92 (define @t153 () (tptp.isFinite0 @t152)) % 18.73/18.92 (define @t154 () (not (tptp.aSubsetOf0 @t152 @t1))) % 18.73/18.92 (define @t155 () (not @t2)) % 18.73/18.92 (define @t156 () (or @t155 @t12 @t154 @t153)) % 18.73/18.92 (define @t157 () (or @t154 @t153)) % 18.73/18.92 (define @t158 () (or @t155 @t12 @t157)) % 18.73/18.92 (define @t159 () (@list @t1 @t152)) % 18.73/18.92 (define @t160 () (forall @t159 @t158)) % 18.73/18.92 (define @t161 () (@list @t152)) % 18.73/18.92 (define @t162 () (forall @t161 @t158)) % 18.73/18.92 (define @t163 () (forall @t161 @t157)) % 18.73/18.92 (define @t164 () (@list @t5)) % 18.73/18.92 (define @t165 () (or @t155 @t12 @t163)) % 18.73/18.92 (define @t166 () (forall @t8 (or (not @t22) @t27))) % 18.73/18.92 (define @t167 () (or @t155 @t12 @t166)) % 18.73/18.92 (define @t168 () (= @t9 @t64)) % 18.73/18.92 (define @t169 () (or @t155 @t168)) % 18.73/18.92 (define @t170 () (tptp.isFinite0 @t141)) % 18.73/18.92 (define @t171 () (tptp.sbrdtbr0 @t141)) % 18.73/18.92 (define @t172 () (tptp.aElementOf0 @t171 @t123)) % 18.73/18.92 (define @t173 () (tptp.aSet0 @t141)) % 18.73/18.92 (define @t174 () (not @t173)) % 18.73/18.92 (define @t175 () (or @t174 (= @t170 @t172))) % 18.73/18.92 (define @t176 () (forall @t3 (or @t155 (= @t9 (tptp.aElementOf0 @t63 @t123))))) % 18.73/18.92 (define @t177 () (= @t172 @t170)) % 18.73/18.92 (define @t178 () (or @t174 @t177)) % 18.73/18.92 (define @t179 () (@list false)) % 18.73/18.92 (define @t180 () (@list false false)) % 18.73/18.92 (define @t181 () (@var "BOUND_VARIABLE_8617" $$unsorted)) % 18.73/18.92 (define @t182 () (= @t63 (tptp.szszuzczcdt0 (tptp.sbrdtbr0 (tptp.sdtmndt0 @t1 @t181))))) % 18.73/18.92 (define @t183 () (not (tptp.aElementOf0 @t181 @t1))) % 18.73/18.92 (define @t184 () (or @t183 @t182)) % 18.73/18.92 (define @t185 () (or @t155 @t12 @t184)) % 18.73/18.92 (define @t186 () (forall (@list @t1 @t181) @t185)) % 18.73/18.92 (define @t187 () (@list @t181)) % 18.73/18.92 (define @t188 () (forall @t187 @t185)) % 18.73/18.92 (define @t189 () (forall @t187 @t184)) % 18.73/18.92 (define @t190 () (or @t155 @t12 @t189)) % 18.73/18.92 (define @t191 () (= @t63 @t68)) % 18.73/18.92 (define @t192 () (or @t67 @t191)) % 18.73/18.92 (define @t193 () (forall @t8 @t192)) % 18.73/18.92 (define @t194 () (or @t155 @t12 @t193)) % 18.73/18.92 (define @t195 () (or @t12 @t193)) % 18.73/18.92 (define @t196 () (or @t12 @t192)) % 18.73/18.92 (define @t197 () (or @t12 @t67 @t191)) % 18.73/18.92 (define @t198 () (@list tptp.xQ)) % 18.73/18.92 (define @t199 () (@var "BOUND_VARIABLE_8238" $$unsorted)) % 18.73/18.92 (define @t200 () (= (tptp.aSubsetOf0 @t199 @t1) (and (tptp.aSet0 @t199) (forall @t18 (or (not (tptp.aElementOf0 @t15 @t199)) @t16))))) % 18.73/18.92 (define @t201 () (or @t155 @t200)) % 18.73/18.92 (define @t202 () (@list @t199)) % 18.73/18.92 (define @t203 () (forall @t202 @t201)) % 18.73/18.92 (define @t204 () (forall @t202 @t200)) % 18.73/18.92 (define @t205 () (or @t155 @t204)) % 18.73/18.92 (define @t206 () (forall @t8 (= @t22 (and @t20 (forall @t18 (or (not @t17) @t16)))))) % 18.73/18.92 (define @t207 () (tptp.aElementOf0 @t15 @t123)) % 18.73/18.92 (define @t208 () (tptp.aSet0 tptp.xQ)) % 18.73/18.92 (define @t209 () (and @t208 (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.xQ)) @t207)))) % 18.73/18.92 (define @t210 () (tptp.aSubsetOf0 tptp.xQ @t123)) % 18.73/18.92 (define @t211 () (= @t210 @t209)) % 18.73/18.92 (define @t212 () (tptp.aSet0 @t123)) % 18.73/18.92 (define @t213 () (not @t212)) % 18.73/18.92 (define @t214 () (or @t213 @t211)) % 18.73/18.92 (define @t215 () (tptp.aElementOf0 @t147 @t123)) % 18.73/18.92 (define @t216 () (tptp.isFinite0 tptp.xQ)) % 18.73/18.92 (define @t217 () (= @t216 @t215)) % 18.73/18.92 (define @t218 () (not @t208)) % 18.73/18.92 (define @t219 () (or @t218 @t217)) % 18.73/18.92 (define @t220 () (@var "BOUND_VARIABLE_8814" $$unsorted)) % 18.73/18.92 (define @t221 () (tptp.aElementOf0 @t38 @t220)) % 18.73/18.92 (define @t222 () (and @t82 (= @t5 @t81))) % 18.73/18.92 (define @t223 () (tptp.aSet0 @t220)) % 18.73/18.92 (define @t224 () (= (= @t87 @t220) (and @t223 (forall @t43 (= @t222 @t221))))) % 18.73/18.92 (define @t225 () (not @t56)) % 18.73/18.92 (define @t226 () (or @t155 @t225 @t224)) % 18.73/18.92 (define @t227 () (@list @t1 @t5 @t220)) % 18.73/18.92 (define @t228 () (forall @t43 (= @t221 @t222))) % 18.73/18.92 (define @t229 () (and @t223 @t228)) % 18.73/18.92 (define @t230 () (= (= @t220 @t87) @t229)) % 18.73/18.92 (define @t231 () (or @t155 @t225 @t230)) % 18.73/18.92 (define @t232 () (forall @t227 @t231)) % 18.73/18.92 (define @t233 () (@list @t220)) % 18.73/18.92 (define @t234 () (forall @t233 @t231)) % 18.73/18.92 (define @t235 () (forall @t233 @t230)) % 18.73/18.92 (define @t236 () (or @t155 @t225 @t235)) % 18.73/18.92 (define @t237 () (forall @t18 (= @t88 (and @t36 (forall @t43 (= @t42 @t222)))))) % 18.73/18.92 (define @t238 () (or @t155 @t225 @t237)) % 18.73/18.92 (define @t239 () (tptp.aSubsetOf0 @t38 @t122)) % 18.73/18.92 (define @t240 () (and @t239 (= @t116 @t81))) % 18.73/18.92 (define @t241 () (tptp.aElementOf0 @t38 @t112)) % 18.73/18.92 (define @t242 () (forall @t43 (= @t240 @t241))) % 18.73/18.92 (define @t243 () (tptp.aSet0 @t112)) % 18.73/18.92 (define @t244 () (and @t243 @t242)) % 18.73/18.92 (define @t245 () (tptp.slbdtsldtrb0 @t122 @t116)) % 18.73/18.92 (define @t246 () (= (= @t245 @t112) @t244)) % 18.73/18.92 (define @t247 () (tptp.aElementOf0 @t116 @t123)) % 18.73/18.92 (define @t248 () (not @t247)) % 18.73/18.92 (define @t249 () (tptp.aSet0 @t122)) % 18.73/18.92 (define @t250 () (not @t249)) % 18.73/18.92 (define @t251 () (or @t250 @t248 @t246)) % 18.73/18.92 (define @t252 () (forall @t227 (or @t155 (not (tptp.aElementOf0 @t5 @t123)) @t224))) % 18.73/18.92 (define @t253 () (forall @t43 (= @t241 (and @t239 (= @t81 @t116))))) % 18.73/18.92 (define @t254 () (and @t243 @t253)) % 18.73/18.92 (define @t255 () (= @t112 @t245)) % 18.73/18.92 (define @t256 () (= @t255 @t254)) % 18.73/18.92 (define @t257 () (or @t250 @t248 @t256)) % 18.73/18.92 (define @t258 () (and @t249 (forall @t18 (or (not (tptp.aElementOf0 @t15 @t122)) @t207)))) % 18.73/18.92 (define @t259 () (tptp.aSubsetOf0 @t122 @t123)) % 18.73/18.92 (define @t260 () (= @t259 @t258)) % 18.73/18.92 (define @t261 () (or @t213 @t260)) % 18.73/18.92 (define @t262 () (tptp.aSubsetOf0 tptp.xQ @t122)) % 18.73/18.92 (define @t263 () (and @t262 (= @t147 @t116))) % 18.73/18.92 (define @t264 () (= @t139 @t263)) % 18.73/18.92 (define @t265 () (= @t116 @t147)) % 18.73/18.92 (define @t266 () (and @t262 @t265)) % 18.73/18.92 (define @t267 () (= @t139 @t266)) % 18.73/18.92 (define @t268 () (tptp.szszuzczcdt0 @t171)) % 18.73/18.92 (define @t269 () (= @t147 @t268)) % 18.73/18.92 (define @t270 () (tptp.aElementOf0 @t140 tptp.xQ)) % 18.73/18.92 (define @t271 () (not @t270)) % 18.73/18.92 (define @t272 () (not @t216)) % 18.73/18.92 (define @t273 () (or @t218 @t272 @t271 @t269)) % 18.73/18.92 (define @t274 () (and (= @t268 @t147) @t172)) % 18.73/18.92 (define @t275 () (not @t170)) % 18.73/18.92 (define @t276 () (@list true false)) % 18.73/18.92 (define @t277 () (tptp.aSubsetOf0 @t141 tptp.xQ)) % 18.73/18.92 (define @t278 () (not @t277)) % 18.73/18.92 (define @t279 () (or @t218 @t272 @t278 @t170)) % 18.73/18.92 (define @t280 () (not @t279)) % 18.73/18.92 (define @t281 () (forall @t159 @t156)) % 18.73/18.92 (assume @p1 (forall @t3 (=> @t2 true))) % 18.73/18.92 (assume @p2 (forall @t3 (=> @t4 true))) % 18.73/18.92 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 18.73/18.92 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 18.73/18.92 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 18.73/18.92 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 18.73/18.92 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 18.73/18.92 (assume @p8 (forall @t3 (=> @t13 @t12))) % 18.73/18.92 (assume @p9 (forall @t3 (=> @t13 @t14))) % 18.73/18.92 (assume @p10 @t26) % 18.73/18.92 (assume @p11 @t31) % 18.73/18.92 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 18.73/18.92 (assume @p13 (forall @t34 (=> (and @t2 @t20) (=> (and @t33 @t22) @t32)))) % 18.73/18.92 (assume @p14 (forall @t37 (=> (and @t2 @t20 @t36) (=> (and @t33 @t35) (tptp.aSubsetOf0 @t1 @t15))))) % 18.73/18.92 (assume @p15 (forall @t34 (=> @t45 (forall @t18 (= (= @t15 @t44) (and @t36 (forall @t43 (= @t42 (and @t41 (or @t40 @t39)))))))))) % 18.73/18.92 (assume @p16 (forall @t34 (=> @t45 (forall @t18 (= (= @t15 @t46) (and @t36 (forall @t43 (= @t42 (and @t41 @t40 (not @t39)))))))))) % 18.73/18.92 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t46 @t5) @t1)))))) % 18.73/18.92 (assume @p18 (forall @t34 (=> (and @t4 @t20) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t47 @t1) @t5))))) % 18.73/18.92 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t49 (tptp.isCountable0 @t47)))))) % 18.73/18.92 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t49 (tptp.isCountable0 @t50)))))) % 18.73/18.92 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isFinite0 @t47)))))) % 18.73/18.92 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isFinite0 @t50)))))) % 18.73/18.92 (assume @p23 (and @t52 (tptp.isCountable0 tptp.szNzAzT0))) % 18.73/18.92 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 18.73/18.92 (assume @p25 (forall @t3 (=> @t54 (and (tptp.aElementOf0 @t53 tptp.szNzAzT0) (not (= @t53 tptp.sz00)))))) % 18.73/18.92 (assume @p26 (forall @t34 (=> @t57 (=> (= @t53 @t55) @t32)))) % 18.73/18.92 (assume @p27 (forall @t3 (=> @t54 (or @t58 (exists @t8 (and @t56 (= @t1 @t55))))))) % 18.73/18.92 (assume @p28 (forall @t3 (=> @t54 (not (= @t1 @t53))))) % 18.73/18.92 (assume @p29 (forall @t34 (=> @t57 (=> @t59 true)))) % 18.73/18.92 (assume @p30 (forall @t3 (=> @t54 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 18.73/18.92 (assume @p31 (forall @t3 (=> @t54 (not (tptp.sdtlseqdt0 @t53 tptp.sz00))))) % 18.73/18.92 (assume @p32 (forall @t34 (=> @t57 (= @t59 (tptp.sdtlseqdt0 @t53 @t55))))) % 18.73/18.92 (assume @p33 (forall @t3 (=> @t54 (tptp.sdtlseqdt0 @t1 @t53)))) % 18.73/18.92 (assume @p34 (forall @t3 (=> @t54 (tptp.sdtlseqdt0 @t1 @t1)))) % 18.73/18.92 (assume @p35 (forall @t34 (=> @t57 (=> (and @t59 @t60) @t32)))) % 18.73/18.92 (assume @p36 (forall @t37 (=> (and @t54 @t56 @t62) (=> (and @t59 @t61) (tptp.sdtlseqdt0 @t1 @t15))))) % 18.73/18.92 (assume @p37 (forall @t34 (=> @t57 (or @t59 (tptp.sdtlseqdt0 @t55 @t1))))) % 18.73/18.92 (assume @p38 (forall @t34 (=> @t57 (=> (tptp.iLess0 @t1 @t5) true)))) % 18.73/18.92 (assume @p39 (forall @t3 (=> @t54 (tptp.iLess0 @t1 @t53)))) % 18.73/18.92 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t63)))) % 18.73/18.92 (assume @p41 @t66) % 18.73/18.92 (assume @p42 (forall @t3 (=> @t2 (= (= @t63 tptp.sz00) @t10)))) % 18.73/18.92 (assume @p43 (forall @t3 (=> @t29 (forall @t8 (=> @t6 (=> @t67 (= (tptp.sbrdtbr0 @t44) (tptp.szszuzczcdt0 @t63)))))))) % 18.73/18.92 (assume @p44 @t73) % 18.73/18.92 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t22) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t63)))))) % 18.73/18.92 (assume @p46 (forall @t34 (=> @t74 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t63)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 18.73/18.92 (assume @p47 (forall @t3 (=> (and @t76 @t14) (forall @t8 (= (= @t5 @t75) (and @t7 (forall @t18 (=> @t16 @t61)))))))) % 18.73/18.92 (assume @p48 (forall @t3 (=> (and @t76 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 18.73/18.92 (assume @p49 (forall @t34 (=> (and @t76 @t78 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t75 @t5) (tptp.aElementOf0 @t77 @t1)) (= @t75 @t77))))) % 18.73/18.92 (assume @p50 (forall @t3 (=> @t54 (forall @t8 (= (= @t5 @t79) (and @t20 (forall @t18 (= @t17 (and @t62 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 18.73/18.92 (assume @p51 (forall @t3 (=> @t54 (tptp.isFinite0 @t79)))) % 18.73/18.92 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 18.73/18.92 (assume @p53 (forall @t34 (=> @t57 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t55)) (or (tptp.aElementOf0 @t1 @t80) @t32))))) % 18.73/18.92 (assume @p54 (forall @t34 (=> @t57 (= @t59 (tptp.aSubsetOf0 @t79 @t80))))) % 18.73/18.92 (assume @p55 (forall @t3 (=> (and @t76 @t9) (exists @t8 (and @t56 (tptp.aSubsetOf0 @t1 @t80)))))) % 18.73/18.92 (assume @p56 (forall @t3 (=> @t54 (= (tptp.sbrdtbr0 @t79) @t1)))) % 18.73/18.92 (assume @p57 @t92) % 18.73/18.92 (assume @p58 (forall @t3 (=> @t29 (forall @t8 (=> @t56 (tptp.isFinite0 @t87)))))) % 18.73/18.92 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t56 (not (= @t87 tptp.slcrc0))))))) % 18.73/18.92 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t56 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t87)))))) % 18.73/18.92 (assume @p61 (forall @t3 (=> @t54 (forall (@list @t5 @t15) (=> (and @t20 @t36 (not @t58)) (=> (and (tptp.aSubsetOf0 @t93 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t93 tptp.slcrc0))) @t35)))))) % 18.73/18.92 (assume @p62 (forall @t34 (=> @t74 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t87) (tptp.isFinite0 @t15)) (exists @t43 (and @t82 (tptp.isFinite0 @t38) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t38 @t5))))))))) % 18.73/18.92 (assume @p63 (forall @t3 (=> @t94 true))) % 18.73/18.92 (assume @p64 (forall @t3 (=> @t94 (tptp.aSet0 @t95)))) % 18.73/18.92 (assume @p65 (forall @t3 (=> @t94 (forall @t8 (=> @t97 (tptp.aElement0 @t96)))))) % 18.73/18.92 (assume @p66 (forall @t34 (=> @t101 (forall @t18 (= (= @t15 @t100) (and @t36 (forall @t43 (= @t42 (and @t99 (= @t98 @t5)))))))))) % 18.73/18.92 (assume @p67 (forall @t34 (=> @t101 (tptp.aSubsetOf0 @t100 @t95)))) % 18.73/18.92 (assume @p68 (forall @t3 (=> @t94 (forall @t8 (=> @t105 (forall @t18 (= (= @t15 @t104) (and @t36 (forall @t43 (= @t42 (exists @t103 (and (tptp.aElementOf0 @t102 @t5) (= (tptp.sdtlpdtrp0 @t1 @t102) @t38))))))))))))) % 18.73/18.92 (assume @p69 (forall @t3 (=> @t94 (forall @t8 (=> @t97 (tptp.aElementOf0 @t96 @t106)))))) % 18.73/18.92 (assume @p70 (forall @t3 (=> @t94 (forall @t8 (=> @t105 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t108 (= @t107 @t5) (forall @t43 (=> (tptp.aElementOf0 @t38 @t5) (= (tptp.sdtlpdtrp0 @t15 @t38) @t98))))))))))) % 18.73/18.92 (assume @p71 (forall @t3 (=> @t94 (forall @t8 (=> (and @t105 @t48) (=> (forall (@list @t15 @t38) (=> (and (tptp.aElementOf0 @t15 @t95) @t99 (not (= @t15 @t38))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t98)))) (tptp.isCountable0 @t104))))))) % 18.73/18.92 (assume @p72 (forall @t3 (=> @t94 (=> (and (tptp.isCountable0 @t95) (tptp.isFinite0 @t106)) (and (tptp.aElement0 @t109) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t109))))))) % 18.73/18.92 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 18.73/18.92 (assume @p74 @t110) % 18.73/18.92 (assume @p75 (and @t111 (tptp.isCountable0 tptp.xS))) % 18.73/18.92 (assume @p76 (and (tptp.aFunction0 tptp.xc) @t114 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t112) tptp.xT))) % 18.73/18.92 (assume @p77 (forall @t3 (=> @t54 (forall @t8 (=> (and @t78 @t48) (forall @t18 (=> (and @t108 (= @t107 @t93) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t107) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t43 (and (tptp.aElementOf0 @t38 tptp.xT) (exists @t103 (and (tptp.aSubsetOf0 @t102 @t5) (tptp.isCountable0 @t102) (forall (@list @t115) (=> (tptp.aElementOf0 @t115 (tptp.slbdtsldtrb0 @t102 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t115) @t38))))))))))))))) % 18.73/18.92 (assume @p78 (not (= tptp.xK tptp.sz00))) % 18.73/18.92 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= @t116 tptp.xK))) % 18.73/18.92 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t123 tptp.szNzAzT0) (= @t122 tptp.xS) (forall @t3 (=> @t54 (=> @t121 (and (tptp.aSubsetOf0 @t117 @t120) (tptp.isCountable0 @t117))))))) % 18.73/18.92 (assume @p81 (forall @t3 (=> @t54 @t121))) % 18.73/18.92 (assume @p82 (forall @t34 (=> @t57 (=> @t60 (tptp.aSubsetOf0 @t118 @t124))))) % 18.73/18.92 (assume @p83 (forall @t34 (=> (and @t54 @t56 (not @t32)) (not (= @t119 (tptp.szmzizndt0 @t124)))))) % 18.73/18.92 (assume @p84 (forall @t3 (=> @t54 (forall @t8 (=> @t127 (tptp.aElementOf0 @t125 @t113)))))) % 18.73/18.92 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= @t131 tptp.szNzAzT0) (forall @t3 (=> @t54 (and (tptp.aFunction0 @t128) (= @t130 @t126) (forall @t8 (=> @t127 (= @t129 (tptp.sdtlpdtrp0 tptp.xc @t125))))))))) % 18.73/18.92 (assume @p86 (forall @t3 (=> @t54 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t128 @t130) tptp.xT)))) % 18.73/18.92 (assume @p87 (forall @t3 (=> @t54 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t120) @t48) (forall @t18 (=> (and @t36 (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t15 @t126)))))))) % 18.73/18.92 (assume @p88 (forall @t3 (=> @t54 (exists @t8 (and @t132 (exists @t18 (and (tptp.aSubsetOf0 @t15 @t120) (tptp.isCountable0 @t15) (forall @t43 (=> (and (tptp.aSet0 @t38) (tptp.aElementOf0 @t38 (tptp.slbdtsldtrb0 @t15 tptp.xk))) (= (tptp.sdtlpdtrp0 @t128 @t38) @t5)))))))))) % 18.73/18.92 (assume @p89 (forall @t3 (=> @t54 (exists @t8 (and @t132 (forall @t18 (=> (and @t36 (tptp.aElementOf0 @t15 @t133)) (= (tptp.sdtlpdtrp0 @t128 @t15) @t5)))))))) % 18.73/18.92 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t54 (= (tptp.sdtlpdtrp0 tptp.xe @t1) @t119))))) % 18.73/18.92 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t134 tptp.szNzAzT0) (forall @t3 (=> @t54 (forall @t8 (=> (and @t20 (tptp.aElementOf0 @t5 @t133)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t129))))))) % 18.73/18.92 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t134) tptp.xT)) % 18.73/18.92 (assume @p93 (and (tptp.aElementOf0 @t135 tptp.xT) (tptp.isCountable0 @t136))) % 18.73/18.92 (assume @p94 (and @t137 (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t136)))) % 18.73/18.92 (assume @p95 (and @t137 (tptp.isCountable0 tptp.xO))) % 18.73/18.92 (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t56 (tptp.aElementOf0 @t5 @t136) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)))))) % 18.73/18.92 (assume @p97 (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 18.73/18.92 (assume @p98 (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK))) % 18.73/18.92 (assume @p99 (and (tptp.aSubsetOf0 tptp.xQ tptp.xO) (not (= tptp.xQ tptp.slcrc0)))) % 18.73/18.92 (assume @p100 @t138) % 18.73/18.92 (assume @p101 @t139) % 18.73/18.92 (assume @p102 (= tptp.xp @t140)) % 18.73/18.92 (assume @p103 (and @t142 (= tptp.xP @t141))) % 18.73/18.92 (assume @p104 @t143) % 18.73/18.92 (assume @p105 (tptp.aElementOf0 tptp.xp tptp.xO)) % 18.73/18.92 (assume @p106 @t144) % 18.73/18.92 (assume @p107 (tptp.aSubsetOf0 tptp.xP tptp.xO)) % 18.73/18.92 (assume @p108 @t151) % 18.73/18.92 (assume @p109 true) % 18.73/18.92 (step @p110 :rule aci_norm :args ((= @t158 @t156))) % 18.73/18.92 (step @p111 :rule cong :premises (@p110) :args (@t160)) % 18.73/18.92 (step @p112 :rule quant-merge-prenex :args ((= (forall @t3 @t162) @t160))) % 18.73/18.92 (step @p113 :rule alpha_equiv :args (@t163 (@list @t152) @t164)) % 18.73/18.92 (step @p114 :rule refl :args (@t12)) % 18.73/18.92 (step @p115 :rule refl :args (@t155)) % 18.73/18.92 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113) :args (@t165)) % 18.73/18.92 (step @p117 :rule quant-miniscope-or :args ((= @t162 @t165))) % 18.73/18.92 (step @p118 :rule trans :premises (@p117 @p116)) % 18.73/18.92 (step @p119 :rule symm :premises (@p118)) % 18.73/18.92 (step @p120 :rule cong :premises (@p119) :args ((forall @t3 @t167))) % 18.73/18.92 (step @p121 :rule trans :premises (@p120 @p112)) % 18.73/18.92 (step @p122 :rule trans :premises (@p121 @p111)) % 18.73/18.92 (step @p123 :rule aci_norm :args ((= (or (or @t155 @t12) @t166) @t167))) % 18.73/18.92 (step @p124 :rule refl :args (@t166)) % 18.73/18.92 (step @p125 :rule bool-and-de-morgan :args (@t2 @t9 true)) % 18.73/18.92 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or (not @t29) @t166))) % 18.73/18.92 (step @p127 :rule trans :premises (@p126 @p123)) % 18.73/18.92 (step @p128 :rule bool-impl-elim :args (@t29 @t166)) % 18.73/18.92 (step @p129 :rule trans :premises (@p128 @p127)) % 18.73/18.92 (step @p130 :rule cong :premises (@p129) :args ((forall @t3 (=> @t29 @t166)))) % 18.73/18.92 (step @p131 :rule trans :premises (@p130 @p122)) % 18.73/18.92 (step @p132 :rule bool-impl-elim :args (@t22 @t27)) % 18.73/18.92 (step @p133 :rule cong :premises (@p132) :args (@t28)) % 18.73/18.92 (step @p134 :rule refl :args (@t29)) % 18.73/18.92 (step @p135 :rule cong :premises (@p134 @p133) :args (@t30)) % 18.73/18.92 (step @p136 :rule cong :premises (@p135) :args (@t31)) % 18.73/18.92 (step @p137 :rule trans :premises (@p136 @p131)) % 18.73/18.92 (step @p138 :rule eq_resolve :premises (@p11 @p137)) % 18.73/18.92 (step @p139 :rule and_elim :premises (@p80) :args (1)) % 18.73/18.92 (step @p140 :rule symm :premises (@p139)) % 18.73/18.92 (step @p141 :rule refl :args (@t63)) % 18.73/18.92 (step @p142 :rule cong :premises (@p141 @p140) :args (@t64)) % 18.73/18.92 (step @p143 :rule refl :args (@t9)) % 18.73/18.92 (step @p144 :rule cong :premises (@p143 @p142) :args (@t168)) % 18.73/18.92 (step @p145 :rule refl :args (@t155)) % 18.73/18.92 (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t169)) % 18.73/18.92 (step @p147 :rule cong :premises (@p146) :args ((forall @t3 @t169))) % 18.73/18.92 (step @p148 :rule bool-impl-elim :args (@t2 @t168)) % 18.73/18.92 (step @p149 :rule cong :premises (@p148) :args ((forall @t3 (=> @t2 @t168)))) % 18.73/18.92 (step @p150 :rule eq-symm :args (@t64 @t9)) % 18.73/18.92 (step @p151 :rule refl :args (@t2)) % 18.73/18.92 (step @p152 :rule cong :premises (@p151 @p150) :args (@t65)) % 18.73/18.92 (step @p153 :rule cong :premises (@p152) :args (@t66)) % 18.73/18.92 (step @p154 :rule trans :premises (@p153 @p149)) % 18.73/18.92 (step @p155 :rule trans :premises (@p154 @p147)) % 18.73/18.92 (step @p156 :rule eq_resolve :premises (@p41 @p155)) % 18.73/18.92 (step @p157 :rule eq-symm :args (@t170 @t172)) % 18.73/18.92 (step @p158 :rule refl :args (@t174)) % 18.73/18.92 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t175)) % 18.73/18.92 (step @p160 :rule refl :args (@t176)) % 18.73/18.92 (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t176 @t175))) % 18.73/18.92 (assume-push @p435 @t176) % 18.73/18.92 (step @p163 :rule instantiate :premises (@p156) :args ((@list @t141))) % 18.73/18.92 (step-pop @p436 :rule scope :premises (@p163)) % 18.73/18.92 (step @p164 :rule process_scope :premises (@p436) :args (@t175)) % 18.73/18.92 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 18.73/18.92 (step @p167 :rule implies_elim :premises (@p166)) % 18.73/18.92 (step @p168 :rule chain_m_resolution :premises (@p167 @p156) :args (@t178 @t179 (@list @t176))) % 18.73/18.92 (step @p169 :rule and_elim :premises (@p103) :args (1)) % 18.73/18.92 (step @p170 :rule cong :premises (@p169) :args (@t142)) % 18.73/18.92 (step @p171 :rule and_elim :premises (@p103) :args (0)) % 18.73/18.92 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 18.73/18.92 (step @p173 :rule cnf_or_pos :args (@t178)) % 18.73/18.92 (step @p174 :rule reordering :premises (@p173) :args ((or @t174 @t177 (not @t178)))) % 18.73/18.92 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p168) :args (@t177 @t180 (@list @t173 @t178))) % 18.73/18.92 (step @p176 :rule aci_norm :args ((= @t185 (or @t155 @t12 @t183 @t182)))) % 18.73/18.92 (step @p177 :rule cong :premises (@p176) :args (@t186)) % 18.73/18.92 (step @p178 :rule quant-merge-prenex :args ((= (forall @t3 @t188) @t186))) % 18.73/18.92 (step @p179 :rule alpha_equiv :args (@t189 (@list @t181) @t164)) % 18.73/18.92 (step @p180 :rule nary_cong :premises (@p115 @p114 @p179) :args (@t190)) % 18.73/18.92 (step @p181 :rule quant-miniscope-or :args ((= @t188 @t190))) % 18.73/18.92 (step @p182 :rule trans :premises (@p181 @p180)) % 18.73/18.92 (step @p183 :rule symm :premises (@p182)) % 18.73/18.92 (step @p184 :rule cong :premises (@p183) :args ((forall @t3 @t194))) % 18.73/18.92 (step @p185 :rule trans :premises (@p184 @p178)) % 18.73/18.92 (step @p186 :rule trans :premises (@p185 @p177)) % 18.73/18.92 (step @p187 :rule aci_norm :args ((= (or @t155 @t195) @t194))) % 18.73/18.92 (step @p188 :rule bool-impl-elim :args (@t2 @t195)) % 18.73/18.92 (step @p189 :rule trans :premises (@p188 @p187)) % 18.73/18.92 (step @p190 :rule cong :premises (@p189) :args ((forall @t3 (=> @t2 @t195)))) % 18.73/18.92 (step @p191 :rule trans :premises (@p190 @p186)) % 18.73/18.92 (step @p192 :rule quant-miniscope-or :args ((= (forall @t8 @t196) @t195))) % 18.73/18.92 (step @p193 :rule aci_norm :args ((= @t197 @t196))) % 18.73/18.92 (step @p194 :rule cong :premises (@p193) :args ((forall @t8 @t197))) % 18.73/18.92 (step @p195 :rule trans :premises (@p194 @p192)) % 18.73/18.92 (step @p196 :rule aci_norm :args ((= (or (or @t12 @t67) @t191) @t197))) % 18.73/18.92 (step @p197 :rule refl :args (@t191)) % 18.73/18.92 (step @p198 :rule bool-and-de-morgan :args (@t9 @t7 true)) % 18.73/18.92 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or (not @t69) @t191))) % 18.73/18.92 (step @p200 :rule trans :premises (@p199 @p196)) % 18.73/18.92 (step @p201 :rule bool-impl-elim :args (@t69 @t191)) % 18.73/18.92 (step @p202 :rule trans :premises (@p201 @p200)) % 18.73/18.92 (step @p203 :rule cong :premises (@p202) :args ((forall @t8 (=> @t69 @t191)))) % 18.73/18.92 (step @p204 :rule trans :premises (@p203 @p195)) % 18.73/18.92 (step @p205 :rule eq-symm :args (@t68 @t63)) % 18.73/18.92 (step @p206 :rule refl :args (@t69)) % 18.73/18.92 (step @p207 :rule cong :premises (@p206 @p205) :args (@t70)) % 18.73/18.92 (step @p208 :rule cong :premises (@p207) :args (@t71)) % 18.73/18.92 (step @p209 :rule trans :premises (@p208 @p204)) % 18.73/18.92 (step @p210 :rule cong :premises (@p151 @p209) :args (@t72)) % 18.73/18.92 (step @p211 :rule cong :premises (@p210) :args (@t73)) % 18.73/18.92 (step @p212 :rule trans :premises (@p211 @p191)) % 18.73/18.92 (step @p213 :rule eq_resolve :premises (@p44 @p212)) % 18.73/18.92 (step @p214 :rule instantiate :premises (@p213) :args ((@list tptp.xQ @t140))) % 18.73/18.92 (step @p215 :rule instantiate :premises (@p156) :args (@t198)) % 18.73/18.92 (step @p216 :rule quant-merge-prenex :args ((= (forall @t3 @t203) (forall (@list @t1 @t199) @t201)))) % 18.73/18.92 (step @p217 :rule alpha_equiv :args (@t204 (@list @t199) @t164)) % 18.73/18.92 (step @p218 :rule nary_cong :premises (@p115 @p217) :args (@t205)) % 18.73/18.92 (step @p219 :rule quant-miniscope-or :args ((= @t203 @t205))) % 18.73/18.92 (step @p220 :rule trans :premises (@p219 @p218)) % 18.73/18.92 (step @p221 :rule symm :premises (@p220)) % 18.73/18.92 (step @p222 :rule cong :premises (@p221) :args ((forall @t3 (or @t155 @t206)))) % 18.73/18.92 (step @p223 :rule trans :premises (@p222 @p216)) % 18.73/18.92 (step @p224 :rule bool-impl-elim :args (@t2 @t206)) % 18.73/18.92 (step @p225 :rule cong :premises (@p224) :args ((forall @t3 (=> @t2 @t206)))) % 18.73/18.92 (step @p226 :rule trans :premises (@p225 @p223)) % 18.73/18.92 (step @p227 :rule bool-impl-elim :args (@t17 @t16)) % 18.73/18.92 (step @p228 :rule cong :premises (@p227) :args (@t19)) % 18.73/18.92 (step @p229 :rule refl :args (@t20)) % 18.73/18.92 (step @p230 :rule nary_cong :premises (@p229 @p228) :args (@t21)) % 18.73/18.92 (step @p231 :rule refl :args (@t22)) % 18.73/18.92 (step @p232 :rule cong :premises (@p231 @p230) :args (@t23)) % 18.73/18.92 (step @p233 :rule cong :premises (@p232) :args (@t24)) % 18.73/18.92 (step @p234 :rule cong :premises (@p151 @p233) :args (@t25)) % 18.73/18.92 (step @p235 :rule cong :premises (@p234) :args (@t26)) % 18.73/18.92 (step @p236 :rule trans :premises (@p235 @p226)) % 18.73/18.92 (step @p237 :rule eq_resolve :premises (@p10 @p236)) % 18.73/18.92 (step @p238 :rule instantiate :premises (@p237) :args ((@list @t123 tptp.xQ))) % 18.73/18.92 (step @p239 :rule cong :premises (@p140) :args (@t52)) % 18.73/18.92 (step @p240 :rule and_elim :premises (@p23) :args (0)) % 18.73/18.92 (step @p241 :rule eq_resolve :premises (@p240 @p239)) % 18.73/18.92 (step @p242 :rule cnf_or_pos :args (@t214)) % 18.73/18.92 (step @p243 :rule reordering :premises (@p242) :args ((or @t213 @t211 (not @t214)))) % 18.73/18.92 (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p238) :args (@t211 @t180 (@list @t212 @t214))) % 18.73/18.92 (step @p245 :rule refl :args (tptp.xQ)) % 18.73/18.92 (step @p246 :rule cong :premises (@p245 @p140) :args (@t138)) % 18.73/18.92 (step @p247 :rule eq_resolve :premises (@p100 @p246)) % 18.73/18.92 (step @p248 :rule cnf_equiv_pos1 :args (@t211)) % 18.73/18.92 (step @p249 :rule reordering :premises (@p248) :args ((or (not @t210) @t209 (not @t211)))) % 18.73/18.92 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p244) :args (@t209 @t180 (@list @t210 @t211))) % 18.73/18.92 (step @p251 :rule cnf_and_pos :args (@t209 0)) % 18.73/18.92 (step @p252 :rule reordering :premises (@p251) :args ((or @t208 (not @t209)))) % 18.73/18.92 (step @p253 :rule chain_m_resolution :premises (@p252 @p250) :args (@t208 @t179 (@list @t209))) % 18.73/18.92 (step @p254 :rule cnf_or_pos :args (@t219)) % 18.73/18.92 (step @p255 :rule reordering :premises (@p254) :args ((or @t218 @t217 (not @t219)))) % 18.73/18.92 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p215) :args (@t217 @t180 (@list @t208 @t219))) % 18.73/18.92 (step @p257 :rule and_elim :premises (@p79) :args (1)) % 18.73/18.92 (step @p258 :rule symm :premises (@p257)) % 18.73/18.92 (step @p259 :rule cong :premises (@p258 @p140) :args (@t110)) % 18.73/18.92 (step @p260 :rule eq_resolve :premises (@p74 @p259)) % 18.73/18.92 (step @p261 :rule true_intro :premises (@p260)) % 18.73/18.92 (step @p262 :rule refl :args (@t131)) % 18.73/18.92 (step @p263 :rule cong :premises (@p140 @p262) :args ((= tptp.szNzAzT0 @t131))) % 18.73/18.92 (step @p264 :rule eq-symm :args (@t131 tptp.szNzAzT0)) % 18.73/18.92 (step @p265 :rule trans :premises (@p264 @p263)) % 18.73/18.92 (step @p266 :rule and_elim :premises (@p85) :args (1)) % 18.73/18.92 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 18.73/18.92 (step @p268 :rule symm :premises (@p267)) % 18.73/18.92 (step @p269 :rule refl :args (@t224)) % 18.73/18.92 (step @p270 :rule refl :args (@t5)) % 18.73/18.92 (step @p271 :rule cong :premises (@p270 @p140) :args (@t56)) % 18.73/18.92 (step @p272 :rule cong :premises (@p271) :args (@t225)) % 18.73/18.92 (step @p273 :rule nary_cong :premises (@p145 @p272 @p269) :args (@t226)) % 18.73/18.92 (step @p274 :rule cong :premises (@p273) :args ((forall @t227 @t226))) % 18.73/18.92 (step @p275 :rule eq-symm :args (@t221 @t222)) % 18.73/18.92 (step @p276 :rule cong :premises (@p275) :args (@t228)) % 18.73/18.92 (step @p277 :rule refl :args (@t223)) % 18.73/18.92 (step @p278 :rule nary_cong :premises (@p277 @p276) :args (@t229)) % 18.73/18.92 (step @p279 :rule eq-symm :args (@t220 @t87)) % 18.73/18.92 (step @p280 :rule cong :premises (@p279 @p278) :args (@t230)) % 18.73/18.92 (step @p281 :rule refl :args (@t225)) % 18.73/18.92 (step @p282 :rule nary_cong :premises (@p145 @p281 @p280) :args (@t231)) % 18.73/18.92 (step @p283 :rule cong :premises (@p282) :args (@t232)) % 18.73/18.92 (step @p284 :rule quant-merge-prenex :args ((= (forall @t34 @t234) @t232))) % 18.73/18.92 (step @p285 :rule alpha_equiv :args (@t235 (@list @t220) (@list @t15))) % 18.73/18.92 (step @p286 :rule refl :args (@t225)) % 18.73/18.92 (step @p287 :rule nary_cong :premises (@p115 @p286 @p285) :args (@t236)) % 18.73/18.92 (step @p288 :rule quant-miniscope-or :args ((= @t234 @t236))) % 18.73/18.92 (step @p289 :rule trans :premises (@p288 @p287)) % 18.73/18.92 (step @p290 :rule symm :premises (@p289)) % 18.73/18.92 (step @p291 :rule cong :premises (@p290) :args ((forall @t34 @t238))) % 18.73/18.92 (step @p292 :rule trans :premises (@p291 @p284)) % 18.73/18.92 (step @p293 :rule trans :premises (@p292 @p283)) % 18.73/18.92 (step @p294 :rule aci_norm :args ((= (or (or @t155 @t225) @t237) @t238))) % 18.73/18.92 (step @p295 :rule refl :args (@t237)) % 18.73/18.92 (step @p296 :rule bool-and-de-morgan :args (@t2 @t56 true)) % 18.73/18.92 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or (not @t74) @t237))) % 18.73/18.92 (step @p298 :rule trans :premises (@p297 @p294)) % 18.73/18.92 (step @p299 :rule bool-impl-elim :args (@t74 @t237)) % 18.73/18.92 (step @p300 :rule trans :premises (@p299 @p298)) % 18.73/18.92 (step @p301 :rule cong :premises (@p300) :args ((forall @t34 (=> @t74 @t237)))) % 18.73/18.92 (step @p302 :rule trans :premises (@p301 @p293)) % 18.73/18.92 (step @p303 :rule eq-symm :args (@t81 @t5)) % 18.73/18.92 (step @p304 :rule refl :args (@t82)) % 18.73/18.92 (step @p305 :rule nary_cong :premises (@p304 @p303) :args (@t83)) % 18.73/18.92 (step @p306 :rule refl :args (@t42)) % 18.73/18.92 (step @p307 :rule cong :premises (@p306 @p305) :args (@t84)) % 18.73/18.92 (step @p308 :rule cong :premises (@p307) :args (@t85)) % 18.73/18.92 (step @p309 :rule refl :args (@t36)) % 18.73/18.92 (step @p310 :rule nary_cong :premises (@p309 @p308) :args (@t86)) % 18.73/18.92 (step @p311 :rule refl :args (@t88)) % 18.73/18.92 (step @p312 :rule cong :premises (@p311 @p310) :args (@t89)) % 18.73/18.92 (step @p313 :rule cong :premises (@p312) :args (@t90)) % 18.73/18.92 (step @p314 :rule refl :args (@t74)) % 18.73/18.92 (step @p315 :rule cong :premises (@p314 @p313) :args (@t91)) % 18.73/18.92 (step @p316 :rule cong :premises (@p315) :args (@t92)) % 18.73/18.92 (step @p317 :rule trans :premises (@p316 @p302)) % 18.73/18.92 (step @p318 :rule trans :premises (@p317 @p274)) % 18.73/18.92 (step @p319 :rule eq_resolve :premises (@p57 @p318)) % 18.73/18.92 (step @p320 :rule eq-symm :args (@t116 @t81)) % 18.73/18.92 (step @p321 :rule refl :args (@t239)) % 18.73/18.92 (step @p322 :rule nary_cong :premises (@p321 @p320) :args (@t240)) % 18.73/18.92 (step @p323 :rule refl :args (@t241)) % 18.73/18.92 (step @p324 :rule cong :premises (@p323 @p322) :args ((= @t241 @t240))) % 18.73/18.92 (step @p325 :rule eq-symm :args (@t240 @t241)) % 18.73/18.92 (step @p326 :rule trans :premises (@p325 @p324)) % 18.73/18.92 (step @p327 :rule cong :premises (@p326) :args (@t242)) % 18.73/18.92 (step @p328 :rule refl :args (@t243)) % 18.73/18.92 (step @p329 :rule nary_cong :premises (@p328 @p327) :args (@t244)) % 18.73/18.92 (step @p330 :rule eq-symm :args (@t245 @t112)) % 18.73/18.92 (step @p331 :rule cong :premises (@p330 @p329) :args (@t246)) % 18.73/18.92 (step @p332 :rule refl :args (@t248)) % 18.73/18.92 (step @p333 :rule refl :args (@t250)) % 18.73/18.92 (step @p334 :rule nary_cong :premises (@p333 @p332 @p331) :args (@t251)) % 18.73/18.92 (step @p335 :rule refl :args (@t252)) % 18.73/18.92 (step @p336 :rule cong :premises (@p335 @p334) :args ((=> @t252 @t251))) % 18.73/18.92 (assume-push @p437 @t252) % 18.73/18.92 (step @p338 :rule instantiate :premises (@p319) :args ((@list @t122 @t116 @t112))) % 18.73/18.92 (step-pop @p438 :rule scope :premises (@p338)) % 18.73/18.92 (step @p339 :rule process_scope :premises (@p438) :args (@t251)) % 18.73/18.92 (step @p341 :rule eq_resolve :premises (@p339 @p336)) % 18.73/18.92 (step @p342 :rule implies_elim :premises (@p341)) % 18.73/18.92 (step @p343 :rule chain_m_resolution :premises (@p342 @p319) :args (@t257 @t179 (@list @t252))) % 18.73/18.92 (step @p344 :rule instantiate :premises (@p237) :args ((@list @t123 @t122))) % 18.73/18.92 (step @p345 :rule cnf_or_pos :args (@t261)) % 18.73/18.92 (step @p346 :rule reordering :premises (@p345) :args ((or @t213 @t260 (not @t261)))) % 18.73/18.92 (step @p347 :rule chain_m_resolution :premises (@p346 @p241 @p344) :args (@t260 @t180 (@list @t212 @t261))) % 18.73/18.92 (step @p348 :rule and_elim :premises (@p80) :args (2)) % 18.73/18.92 (step @p349 :rule symm :premises (@p348)) % 18.73/18.92 (step @p350 :rule cong :premises (@p349 @p140) :args (@t111)) % 18.73/18.92 (step @p351 :rule and_elim :premises (@p75) :args (0)) % 18.73/18.92 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 18.73/18.92 (step @p353 :rule cnf_equiv_pos1 :args (@t260)) % 18.73/18.92 (step @p354 :rule reordering :premises (@p353) :args ((or (not @t259) @t258 (not @t260)))) % 18.73/18.92 (step @p355 :rule chain_m_resolution :premises (@p354 @p352 @p347) :args (@t258 @t180 (@list @t259 @t260))) % 18.73/18.92 (step @p356 :rule cnf_and_pos :args (@t258 0)) % 18.73/18.92 (step @p357 :rule reordering :premises (@p356) :args ((or @t249 (not @t258)))) % 18.73/18.92 (step @p358 :rule chain_m_resolution :premises (@p357 @p355) :args (@t249 @t179 (@list @t258))) % 18.73/18.92 (step @p359 :rule cnf_or_pos :args (@t257)) % 18.73/18.92 (step @p360 :rule reordering :premises (@p359) :args ((or @t248 @t250 @t256 (not @t257)))) % 18.73/18.92 (step @p361 :rule chain_m_resolution :premises (@p360 @p260 @p358 @p343) :args (@t256 (@list false false false) (@list @t247 @t249 @t257))) % 18.73/18.92 (step @p362 :rule cong :premises (@p349 @p258) :args (@t113)) % 18.73/18.92 (step @p363 :rule refl :args (@t112)) % 18.73/18.92 (step @p364 :rule cong :premises (@p363 @p362) :args (@t114)) % 18.73/18.92 (step @p365 :rule and_elim :premises (@p76) :args (1)) % 18.73/18.92 (step @p366 :rule eq_resolve :premises (@p365 @p364)) % 18.73/18.92 (step @p367 :rule cnf_equiv_pos1 :args (@t256)) % 18.73/18.92 (step @p368 :rule reordering :premises (@p367) :args ((or (not @t255) @t254 (not @t256)))) % 18.73/18.92 (step @p369 :rule chain_m_resolution :premises (@p368 @p366 @p361) :args (@t254 @t180 (@list @t255 @t256))) % 18.73/18.92 (step @p370 :rule cnf_and_pos :args (@t254 1)) % 18.73/18.92 (step @p371 :rule reordering :premises (@p370) :args ((or @t253 (not @t254)))) % 18.73/18.92 (step @p372 :rule chain_m_resolution :premises (@p371 @p369) :args (@t253 @t179 (@list @t254))) % 18.73/18.92 (step @p373 :rule eq-symm :args (@t147 @t116)) % 18.73/18.92 (step @p374 :rule refl :args (@t262)) % 18.73/18.92 (step @p375 :rule nary_cong :premises (@p374 @p373) :args (@t263)) % 18.73/18.92 (step @p376 :rule refl :args (@t139)) % 18.73/18.92 (step @p377 :rule cong :premises (@p376 @p375) :args (@t264)) % 18.73/18.92 (step @p378 :rule refl :args (@t253)) % 18.73/18.92 (step @p379 :rule cong :premises (@p378 @p377) :args ((=> @t253 @t264))) % 18.73/18.92 (assume-push @p439 @t253) % 18.73/18.92 (step @p381 :rule instantiate :premises (@p372) :args (@t198)) % 18.73/18.92 (step-pop @p440 :rule scope :premises (@p381)) % 18.73/18.92 (step @p382 :rule process_scope :premises (@p440) :args (@t264)) % 18.73/18.92 (step @p384 :rule eq_resolve :premises (@p382 @p379)) % 18.73/18.92 (step @p385 :rule implies_elim :premises (@p384)) % 18.73/18.92 (step @p386 :rule chain_m_resolution :premises (@p385 @p372) :args (@t267 @t179 (@list @t253))) % 18.73/18.92 (step @p387 :rule cnf_equiv_pos1 :args (@t267)) % 18.73/18.92 (step @p388 :rule reordering :premises (@p387) :args ((or (not @t139) @t266 (not @t267)))) % 18.73/18.92 (step @p389 :rule chain_m_resolution :premises (@p388 @p101 @p386) :args (@t266 @t180 (@list @t139 @t267))) % 18.73/18.92 (step @p390 :rule cnf_and_pos :args (@t266 1)) % 18.73/18.92 (step @p391 :rule reordering :premises (@p390) :args ((or @t265 (not @t266)))) % 18.73/18.92 (step @p392 :rule chain_m_resolution :premises (@p391 @p389) :args (@t265 @t179 (@list @t266))) % 18.73/18.92 (step @p393 :rule symm :premises (@p392)) % 18.73/18.92 (step @p394 :rule cong :premises (@p393 @p268) :args ((tptp.aElementOf0 @t147 @t131))) % 18.73/18.92 (step @p395 :rule refl :args (@t147)) % 18.73/18.92 (step @p396 :rule cong :premises (@p395 @p267) :args (@t215)) % 18.73/18.92 (step @p397 :rule trans :premises (@p396 @p394 @p261)) % 18.73/18.92 (step @p398 :rule true_elim :premises (@p397)) % 18.73/18.93 (step @p399 :rule cnf_equiv_pos2 :args (@t217)) % 18.73/18.93 (step @p400 :rule reordering :premises (@p399) :args ((or @t216 (not @t215) (not @t217)))) % 18.73/18.93 (step @p401 :rule chain_m_resolution :premises (@p400 @p398 @p256) :args (@t216 @t180 (@list @t215 @t217))) % 18.73/18.93 (step @p402 :rule cong :premises (@p102 @p245) :args (@t143)) % 18.73/18.93 (step @p403 :rule eq_resolve :premises (@p104 @p402)) % 18.73/18.93 (step @p404 :rule cnf_or_pos :args (@t273)) % 18.73/18.93 (step @p405 :rule reordering :premises (@p404) :args ((or @t269 @t271 @t218 @t272 (not @t273)))) % 18.73/18.93 (step @p406 :rule chain_m_resolution :premises (@p405 @p403 @p253 @p401 @p214) :args (@t269 (@list false false false false) (@list @t270 @t208 @t216 @t273))) % 18.73/18.93 (step @p407 :rule refl :args (@t172)) % 18.73/18.93 (step @p408 :rule eq-symm :args (@t268 @t147)) % 18.73/18.93 (step @p409 :rule nary_cong :premises (@p408 @p407) :args (@t274)) % 18.73/18.93 (step @p410 :rule cong :premises (@p409) :args ((not @t274))) % 18.73/18.93 (step @p411 :rule cong :premises (@p169) :args (@t145)) % 18.73/18.93 (step @p412 :rule cong :premises (@p411 @p140) :args (@t146)) % 18.73/18.93 (step @p413 :rule cong :premises (@p411) :args (@t148)) % 18.73/18.93 (step @p414 :rule cong :premises (@p413 @p395) :args (@t149)) % 18.73/18.93 (step @p415 :rule nary_cong :premises (@p414 @p412) :args (@t150)) % 18.73/18.93 (step @p416 :rule cong :premises (@p415) :args (@t151)) % 18.73/18.93 (step @p417 :rule trans :premises (@p416 @p410)) % 18.73/18.93 (step @p418 :rule eq_resolve :premises (@p108 @p417)) % 18.73/18.93 (step @p419 :rule not_and :premises (@p418)) % 18.73/18.93 (step @p420 :rule chain_m_resolution :premises (@p419 @p406) :args ((not @t172) @t179 (@list @t269))) % 18.73/18.93 (step @p421 :rule cnf_equiv_pos2 :args (@t177)) % 18.73/18.93 (step @p422 :rule reordering :premises (@p421) :args ((or @t172 @t275 (not @t177)))) % 18.73/18.93 (step @p423 :rule chain_m_resolution :premises (@p422 @p420 @p175) :args (@t275 @t276 (@list @t172 @t177))) % 18.73/18.93 (step @p424 :rule cong :premises (@p169 @p245) :args (@t144)) % 18.73/18.93 (step @p425 :rule eq_resolve :premises (@p106 @p424)) % 18.73/18.93 (step @p426 :rule cnf_or_pos :args (@t279)) % 18.73/18.93 (step @p427 :rule reordering :premises (@p426) :args ((or @t278 @t218 @t272 @t170 @t280))) % 18.73/18.93 (step @p428 :rule chain_m_resolution :premises (@p427 @p425 @p253 @p401 @p423) :args (@t280 (@list false false false true) (@list @t277 @t208 @t216 @t170))) % 18.73/18.93 (assume-push @p441 @t281) % 18.73/18.93 (step @p430 :rule instantiate :premises (@p138) :args ((@list tptp.xQ @t141))) % 18.73/18.93 (step-pop @p442 :rule scope :premises (@p430)) % 18.73/18.93 (step @p431 :rule process_scope :premises (@p442) :args (@t279)) % 18.73/18.93 (step @p433 :rule implies_elim :premises (@p431)) % 18.73/18.93 (step @p434 false :rule chain_m_resolution :premises (@p433 @p428 @p138) :args (false @t276 (@list @t279 @t281))) % 18.73/18.93 ) % 18.73/18.93 % SZS output end Proof % 18.73/18.93 % cvc5 exiting %------------------------------------------------------------------------------