%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM598+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 : n025.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 08:39:57 AM UTC 2026 % Result : Theorem 1.72s 2.00s % Output : Proof 1.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM598+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 % 0.16/0.35 % Computer : n025.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % 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 11:35:01 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 1.72/2.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.72/2.00 % SZS status Theorem % 1.72/2.00 % SZS output start Proof % 1.72/2.00 ( % 1.72/2.00 (declare-sort $$unsorted 0) % 1.72/2.00 (declare-const tptp.xe $$unsorted) % 1.72/2.00 (declare-const tptp.xC $$unsorted) % 1.72/2.00 (declare-const tptp.xN $$unsorted) % 1.72/2.00 (declare-const tptp.sz00 $$unsorted) % 1.72/2.00 (declare-const tptp.xc $$unsorted) % 1.72/2.00 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 1.72/2.00 (declare-const tptp.szNzAzT0 $$unsorted) % 1.72/2.00 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 1.72/2.00 (declare-const tptp.xd $$unsorted) % 1.72/2.00 (declare-const tptp.xk $$unsorted) % 1.72/2.00 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 1.72/2.00 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 1.72/2.00 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 1.72/2.00 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 1.72/2.00 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 1.72/2.00 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 1.72/2.00 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 1.72/2.00 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.xK $$unsorted) % 1.72/2.00 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.xT $$unsorted) % 1.72/2.00 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.xO $$unsorted) % 1.72/2.00 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.xS $$unsorted) % 1.72/2.00 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.slcrc0 $$unsorted) % 1.72/2.00 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.00 (define @t1 () (@var "W0" $$unsorted)) % 1.72/2.00 (define @t2 () (tptp.aSet0 @t1)) % 1.72/2.00 (define @t3 () (@list @t1)) % 1.72/2.00 (define @t4 () (tptp.aElement0 @t1)) % 1.72/2.00 (define @t5 () (@var "W1" $$unsorted)) % 1.72/2.00 (define @t6 () (tptp.aElement0 @t5)) % 1.72/2.00 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 1.72/2.00 (define @t8 () (@list @t5)) % 1.72/2.00 (define @t9 () (forall @t8 (=> @t7 @t6))) % 1.72/2.00 (define @t10 () (=> @t2 @t9)) % 1.72/2.00 (define @t11 () (forall @t3 @t10)) % 1.72/2.00 (define @t12 () (tptp.isFinite0 @t1)) % 1.72/2.00 (define @t13 () (= @t1 tptp.slcrc0)) % 1.72/2.00 (define @t14 () (tptp.isCountable0 @t1)) % 1.72/2.00 (define @t15 () (not @t12)) % 1.72/2.00 (define @t16 () (and @t2 @t14)) % 1.72/2.00 (define @t17 () (not @t13)) % 1.72/2.00 (define @t18 () (@var "W2" $$unsorted)) % 1.72/2.00 (define @t19 () (tptp.aElementOf0 @t18 @t1)) % 1.72/2.00 (define @t20 () (tptp.aElementOf0 @t18 @t5)) % 1.72/2.00 (define @t21 () (@list @t18)) % 1.72/2.00 (define @t22 () (tptp.aSet0 @t5)) % 1.72/2.00 (define @t23 () (tptp.aSubsetOf0 @t5 @t1)) % 1.72/2.00 (define @t24 () (tptp.isFinite0 @t5)) % 1.72/2.00 (define @t25 () (and @t2 @t12)) % 1.72/2.00 (define @t26 () (= @t1 @t5)) % 1.72/2.00 (define @t27 () (tptp.aSubsetOf0 @t1 @t5)) % 1.72/2.00 (define @t28 () (@list @t1 @t5)) % 1.72/2.00 (define @t29 () (tptp.aSubsetOf0 @t5 @t18)) % 1.72/2.00 (define @t30 () (tptp.aSet0 @t18)) % 1.72/2.00 (define @t31 () (@list @t1 @t5 @t18)) % 1.72/2.00 (define @t32 () (@var "W3" $$unsorted)) % 1.72/2.00 (define @t33 () (= @t32 @t5)) % 1.72/2.00 (define @t34 () (tptp.aElementOf0 @t32 @t1)) % 1.72/2.00 (define @t35 () (tptp.aElement0 @t32)) % 1.72/2.00 (define @t36 () (tptp.aElementOf0 @t32 @t18)) % 1.72/2.00 (define @t37 () (@list @t32)) % 1.72/2.00 (define @t38 () (tptp.sdtpldt0 @t1 @t5)) % 1.72/2.00 (define @t39 () (and @t2 @t6)) % 1.72/2.00 (define @t40 () (tptp.sdtmndt0 @t1 @t5)) % 1.72/2.00 (define @t41 () (tptp.sdtpldt0 @t5 @t1)) % 1.72/2.00 (define @t42 () (tptp.isCountable0 @t5)) % 1.72/2.00 (define @t43 () (and @t22 @t42)) % 1.72/2.00 (define @t44 () (tptp.sdtmndt0 @t5 @t1)) % 1.72/2.00 (define @t45 () (and @t22 @t24)) % 1.72/2.00 (define @t46 () (tptp.szszuzczcdt0 @t1)) % 1.72/2.00 (define @t47 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 1.72/2.00 (define @t48 () (tptp.szszuzczcdt0 @t5)) % 1.72/2.00 (define @t49 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 1.72/2.00 (define @t50 () (and @t47 @t49)) % 1.72/2.00 (define @t51 () (= @t1 tptp.sz00)) % 1.72/2.00 (define @t52 () (tptp.sdtlseqdt0 @t1 @t5)) % 1.72/2.00 (define @t53 () (tptp.sdtlseqdt0 @t5 @t1)) % 1.72/2.00 (define @t54 () (tptp.sdtlseqdt0 @t5 @t18)) % 1.72/2.01 (define @t55 () (tptp.aElementOf0 @t18 tptp.szNzAzT0)) % 1.72/2.01 (define @t56 () (tptp.sbrdtbr0 @t1)) % 1.72/2.01 (define @t57 () (not @t7)) % 1.72/2.01 (define @t58 () (and @t2 @t49)) % 1.72/2.01 (define @t59 () (tptp.szmzizndt0 @t1)) % 1.72/2.01 (define @t60 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 1.72/2.01 (define @t61 () (tptp.szmzizndt0 @t5)) % 1.72/2.01 (define @t62 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 1.72/2.01 (define @t63 () (tptp.slbdtrb0 @t1)) % 1.72/2.01 (define @t64 () (tptp.slbdtrb0 @t5)) % 1.72/2.01 (define @t65 () (tptp.aSubsetOf0 @t32 @t1)) % 1.72/2.01 (define @t66 () (tptp.slbdtsldtrb0 @t1 @t5)) % 1.72/2.01 (define @t67 () (tptp.slbdtsldtrb0 @t5 @t1)) % 1.72/2.01 (define @t68 () (tptp.aFunction0 @t1)) % 1.72/2.01 (define @t69 () (tptp.szDzozmdt0 @t1)) % 1.72/2.01 (define @t70 () (tptp.sdtlpdtrp0 @t1 @t5)) % 1.72/2.01 (define @t71 () (tptp.aElementOf0 @t5 @t69)) % 1.72/2.01 (define @t72 () (tptp.sdtlpdtrp0 @t1 @t32)) % 1.72/2.01 (define @t73 () (tptp.aElementOf0 @t32 @t69)) % 1.72/2.01 (define @t74 () (tptp.sdtlbdtrb0 @t1 @t5)) % 1.72/2.01 (define @t75 () (and @t68 @t6)) % 1.72/2.01 (define @t76 () (tptp.aSubsetOf0 @t74 @t69)) % 1.72/2.01 (define @t77 () (forall @t28 (=> @t75 @t76))) % 1.72/2.01 (define @t78 () (@var "W4" $$unsorted)) % 1.72/2.01 (define @t79 () (@list @t78)) % 1.72/2.01 (define @t80 () (tptp.sdtlcdtrc0 @t1 @t5)) % 1.72/2.01 (define @t81 () (tptp.aSubsetOf0 @t5 @t69)) % 1.72/2.01 (define @t82 () (tptp.sdtlcdtrc0 @t1 @t69)) % 1.72/2.01 (define @t83 () (tptp.szDzozmdt0 @t18)) % 1.72/2.01 (define @t84 () (tptp.aFunction0 @t18)) % 1.72/2.01 (define @t85 () (tptp.isCountable0 @t80)) % 1.72/2.01 (define @t86 () (tptp.sdtlpdtrp0 @t1 @t18)) % 1.72/2.01 (define @t87 () (not (= @t86 @t72))) % 1.72/2.01 (define @t88 () (= @t18 @t32)) % 1.72/2.01 (define @t89 () (not @t88)) % 1.72/2.01 (define @t90 () (tptp.aElementOf0 @t18 @t69)) % 1.72/2.01 (define @t91 () (and @t90 @t73 @t89)) % 1.72/2.01 (define @t92 () (=> @t91 @t87)) % 1.72/2.01 (define @t93 () (@list @t18 @t32)) % 1.72/2.01 (define @t94 () (forall @t93 @t92)) % 1.72/2.01 (define @t95 () (=> @t94 @t85)) % 1.72/2.01 (define @t96 () (and @t81 @t42)) % 1.72/2.01 (define @t97 () (=> @t96 @t95)) % 1.72/2.01 (define @t98 () (forall @t8 @t97)) % 1.72/2.01 (define @t99 () (=> @t68 @t98)) % 1.72/2.01 (define @t100 () (forall @t3 @t99)) % 1.72/2.01 (define @t101 () (tptp.szDzizrdt0 @t1)) % 1.72/2.01 (define @t102 () (tptp.aSet0 tptp.xT)) % 1.72/2.01 (define @t103 () (tptp.szDzozmdt0 tptp.xc)) % 1.72/2.01 (define @t104 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 1.72/2.01 (define @t105 () (@var "W5" $$unsorted)) % 1.72/2.01 (define @t106 () (tptp.sdtlpdtrp0 tptp.xN @t46)) % 1.72/2.01 (define @t107 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 1.72/2.01 (define @t108 () (tptp.szmzizndt0 @t107)) % 1.72/2.01 (define @t109 () (tptp.sdtmndt0 @t107 @t108)) % 1.72/2.01 (define @t110 () (and (tptp.aSubsetOf0 @t107 tptp.szNzAzT0) (tptp.isCountable0 @t107))) % 1.72/2.01 (define @t111 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 1.72/2.01 (define @t112 () (not (= @t108 (tptp.szmzizndt0 @t111)))) % 1.72/2.01 (define @t113 () (not @t26)) % 1.72/2.01 (define @t114 () (and @t47 @t49 @t113)) % 1.72/2.01 (define @t115 () (forall @t28 (=> @t114 @t112))) % 1.72/2.01 (define @t116 () (tptp.sdtpldt0 @t5 @t108)) % 1.72/2.01 (define @t117 () (tptp.slbdtsldtrb0 @t109 tptp.xk)) % 1.72/2.01 (define @t118 () (and @t22 (tptp.aElementOf0 @t5 @t117))) % 1.72/2.01 (define @t119 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 1.72/2.01 (define @t120 () (tptp.sdtlpdtrp0 @t119 @t5)) % 1.72/2.01 (define @t121 () (tptp.szDzozmdt0 @t119)) % 1.72/2.01 (define @t122 () (tptp.aElementOf0 @t5 tptp.xT)) % 1.72/2.01 (define @t123 () (tptp.slbdtsldtrb0 @t106 tptp.xk)) % 1.72/2.01 (define @t124 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 1.72/2.01 (define @t125 () (=> @t47 (= @t124 @t108))) % 1.72/2.01 (define @t126 () (forall @t3 @t125)) % 1.72/2.01 (define @t127 () (tptp.szDzozmdt0 tptp.xe)) % 1.72/2.01 (define @t128 () (tptp.aFunction0 tptp.xe)) % 1.72/2.01 (define @t129 () (tptp.szDzozmdt0 tptp.xd)) % 1.72/2.01 (define @t130 () (tptp.aFunction0 tptp.xd)) % 1.72/2.01 (define @t131 () (tptp.szDzizrdt0 tptp.xd)) % 1.72/2.01 (define @t132 () (tptp.sdtlbdtrb0 tptp.xd @t131)) % 1.72/2.01 (define @t133 () (tptp.isCountable0 @t132)) % 1.72/2.01 (define @t134 () (tptp.aElementOf0 @t131 tptp.xT)) % 1.72/2.01 (define @t135 () (tptp.sdtlcdtrc0 tptp.xe @t132)) % 1.72/2.01 (define @t136 () (not @t49)) % 1.72/2.01 (define @t137 () (not @t47)) % 1.72/2.01 (define @t138 () (not @t113)) % 1.72/2.01 (define @t139 () (or @t137 @t136 @t138)) % 1.72/2.01 (define @t140 () (forall @t93 (or (not (tptp.aElementOf0 @t18 @t127)) (not (tptp.aElementOf0 @t32 @t127)) @t88 (not (= (tptp.sdtlpdtrp0 tptp.xe @t32) (tptp.sdtlpdtrp0 tptp.xe @t18)))))) % 1.72/2.01 (define @t141 () (@quantifiers_skolemize @t140 1)) % 1.72/2.01 (define @t142 () (@quantifiers_skolemize @t140 0)) % 1.72/2.01 (define @t143 () (@var "BOUND_VARIABLE_9191" $$unsorted)) % 1.72/2.01 (define @t144 () (tptp.isCountable0 (tptp.sdtlcdtrc0 @t1 @t143))) % 1.72/2.01 (define @t145 () (not (tptp.isCountable0 @t143))) % 1.72/2.01 (define @t146 () (not (tptp.aSubsetOf0 @t143 @t69))) % 1.72/2.01 (define @t147 () (not (= @t72 @t86))) % 1.72/2.01 (define @t148 () (not @t73)) % 1.72/2.01 (define @t149 () (not @t90)) % 1.72/2.01 (define @t150 () (or @t149 @t148 @t88 @t147)) % 1.72/2.01 (define @t151 () (forall @t93 @t150)) % 1.72/2.01 (define @t152 () (not @t151)) % 1.72/2.01 (define @t153 () (not @t68)) % 1.72/2.01 (define @t154 () (or @t146 @t145 @t144)) % 1.72/2.01 (define @t155 () (or @t153 @t152 @t154)) % 1.72/2.01 (define @t156 () (forall (@list @t1 @t143) @t155)) % 1.72/2.01 (define @t157 () (@list @t143)) % 1.72/2.01 (define @t158 () (forall @t157 @t155)) % 1.72/2.01 (define @t159 () (forall @t157 @t154)) % 1.72/2.01 (define @t160 () (@list @t5)) % 1.72/2.01 (define @t161 () (or @t153 @t152 @t159)) % 1.72/2.01 (define @t162 () (not @t42)) % 1.72/2.01 (define @t163 () (not @t81)) % 1.72/2.01 (define @t164 () (or @t163 @t162 @t85)) % 1.72/2.01 (define @t165 () (forall @t8 @t164)) % 1.72/2.01 (define @t166 () (or @t153 @t152 @t165)) % 1.72/2.01 (define @t167 () (or @t152 @t165)) % 1.72/2.01 (define @t168 () (or @t152 @t164)) % 1.72/2.01 (define @t169 () (or @t163 @t162 @t152 @t85)) % 1.72/2.01 (define @t170 () (=> @t151 @t85)) % 1.72/2.01 (define @t171 () (not @t89)) % 1.72/2.01 (define @t172 () (or @t149 @t148 @t171)) % 1.72/2.01 (define @t173 () (tptp.isCountable0 @t135)) % 1.72/2.01 (define @t174 () (not @t6)) % 1.72/2.01 (define @t175 () (@var "BOUND_VARIABLE_8149" $$unsorted)) % 1.72/2.01 (define @t176 () (tptp.aElement0 @t175)) % 1.72/2.01 (define @t177 () (not (tptp.aElementOf0 @t175 @t1))) % 1.72/2.01 (define @t178 () (not @t2)) % 1.72/2.01 (define @t179 () (or @t177 @t176)) % 1.72/2.01 (define @t180 () (or @t178 @t179)) % 1.72/2.01 (define @t181 () (forall (@list @t1 @t175) @t180)) % 1.72/2.01 (define @t182 () (@list @t175)) % 1.72/2.01 (define @t183 () (forall @t182 @t180)) % 1.72/2.01 (define @t184 () (forall @t182 @t179)) % 1.72/2.01 (define @t185 () (or @t178 @t184)) % 1.72/2.01 (define @t186 () (forall @t8 (or @t57 @t6))) % 1.72/2.01 (define @t187 () (tptp.aElement0 @t131)) % 1.72/2.01 (define @t188 () (not @t134)) % 1.72/2.01 (define @t189 () (not @t102)) % 1.72/2.01 (define @t190 () (or @t189 @t188 @t187)) % 1.72/2.01 (define @t191 () (@list false false false)) % 1.72/2.01 (define @t192 () (tptp.aSubsetOf0 @t132 @t129)) % 1.72/2.01 (define @t193 () (not @t187)) % 1.72/2.01 (define @t194 () (not @t130)) % 1.72/2.01 (define @t195 () (or @t194 @t193 @t192)) % 1.72/2.01 (define @t196 () (tptp.aSubsetOf0 @t132 @t127)) % 1.72/2.01 (define @t197 () (not @t133)) % 1.72/2.01 (define @t198 () (not @t196)) % 1.72/2.01 (define @t199 () (not @t140)) % 1.72/2.01 (define @t200 () (not @t128)) % 1.72/2.01 (define @t201 () (or @t200 @t199 @t198 @t197 @t173)) % 1.72/2.01 (define @t202 () (tptp.aElementOf0 @t141 @t127)) % 1.72/2.01 (define @t203 () (tptp.sdtlpdtrp0 tptp.xe @t142)) % 1.72/2.01 (define @t204 () (tptp.sdtlpdtrp0 tptp.xe @t141)) % 1.72/2.01 (define @t205 () (= @t204 @t203)) % 1.72/2.01 (define @t206 () (not @t205)) % 1.72/2.01 (define @t207 () (= @t142 @t141)) % 1.72/2.01 (define @t208 () (not @t202)) % 1.72/2.01 (define @t209 () (tptp.aElementOf0 @t142 @t127)) % 1.72/2.01 (define @t210 () (not @t209)) % 1.72/2.01 (define @t211 () (or @t210 @t208 @t207 @t206)) % 1.72/2.01 (define @t212 () (@list true)) % 1.72/2.01 (define @t213 () (@list @t211)) % 1.72/2.01 (define @t214 () (tptp.aElementOf0 @t141 tptp.szNzAzT0)) % 1.72/2.01 (define @t215 () (tptp.aElementOf0 @t142 tptp.szNzAzT0)) % 1.72/2.01 (define @t216 () (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN @t141))) % 1.72/2.01 (define @t217 () (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN @t142))) % 1.72/2.01 (define @t218 () (not (= @t217 @t216))) % 1.72/2.01 (define @t219 () (not @t214)) % 1.72/2.01 (define @t220 () (not @t215)) % 1.72/2.01 (define @t221 () (or @t220 @t219 @t207 @t218)) % 1.72/2.01 (define @t222 () (= @t108 @t124)) % 1.72/2.01 (define @t223 () (or @t219 (= @t216 @t204))) % 1.72/2.01 (define @t224 () (forall @t3 (or @t137 @t222))) % 1.72/2.01 (define @t225 () (= @t204 @t216)) % 1.72/2.01 (define @t226 () (or @t219 @t225)) % 1.72/2.01 (define @t227 () (@list false)) % 1.72/2.01 (define @t228 () (@list @t224)) % 1.72/2.01 (define @t229 () (@list false false)) % 1.72/2.01 (define @t230 () (or @t220 (= @t217 @t203))) % 1.72/2.01 (define @t231 () (= @t203 @t217)) % 1.72/2.01 (define @t232 () (or @t220 @t231)) % 1.72/2.01 (assume @p1 (forall @t3 (=> @t2 true))) % 1.72/2.01 (assume @p2 (forall @t3 (=> @t4 true))) % 1.72/2.01 (assume @p3 @t11) % 1.72/2.01 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 1.72/2.01 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 1.72/2.01 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 1.72/2.01 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 1.72/2.01 (assume @p8 (forall @t3 (=> @t16 @t15))) % 1.72/2.01 (assume @p9 (forall @t3 (=> @t16 @t17))) % 1.72/2.01 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t23 (and @t22 (forall @t21 (=> @t20 @t19)))))))) % 1.72/2.01 (assume @p11 (forall @t3 (=> @t25 (forall @t8 (=> @t23 @t24))))) % 1.72/2.01 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 1.72/2.01 (assume @p13 (forall @t28 (=> (and @t2 @t22) (=> (and @t27 @t23) @t26)))) % 1.72/2.01 (assume @p14 (forall @t31 (=> (and @t2 @t22 @t30) (=> (and @t27 @t29) (tptp.aSubsetOf0 @t1 @t18))))) % 1.72/2.01 (assume @p15 (forall @t28 (=> @t39 (forall @t21 (= (= @t18 @t38) (and @t30 (forall @t37 (= @t36 (and @t35 (or @t34 @t33)))))))))) % 1.72/2.01 (assume @p16 (forall @t28 (=> @t39 (forall @t21 (= (= @t18 @t40) (and @t30 (forall @t37 (= @t36 (and @t35 @t34 (not @t33)))))))))) % 1.72/2.01 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t40 @t5) @t1)))))) % 1.72/2.01 (assume @p18 (forall @t28 (=> (and @t4 @t22) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t41 @t1) @t5))))) % 1.72/2.01 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isCountable0 @t41)))))) % 1.72/2.01 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isCountable0 @t44)))))) % 1.72/2.01 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isFinite0 @t41)))))) % 1.72/2.01 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t45 (tptp.isFinite0 @t44)))))) % 1.72/2.01 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 1.72/2.01 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 1.72/2.01 (assume @p25 (forall @t3 (=> @t47 (and (tptp.aElementOf0 @t46 tptp.szNzAzT0) (not (= @t46 tptp.sz00)))))) % 1.72/2.01 (assume @p26 (forall @t28 (=> @t50 (=> (= @t46 @t48) @t26)))) % 1.72/2.01 (assume @p27 (forall @t3 (=> @t47 (or @t51 (exists @t8 (and @t49 (= @t1 @t48))))))) % 1.72/2.01 (assume @p28 (forall @t3 (=> @t47 (not (= @t1 @t46))))) % 1.72/2.01 (assume @p29 (forall @t28 (=> @t50 (=> @t52 true)))) % 1.72/2.01 (assume @p30 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 1.72/2.01 (assume @p31 (forall @t3 (=> @t47 (not (tptp.sdtlseqdt0 @t46 tptp.sz00))))) % 1.72/2.01 (assume @p32 (forall @t28 (=> @t50 (= @t52 (tptp.sdtlseqdt0 @t46 @t48))))) % 1.72/2.01 (assume @p33 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t46)))) % 1.72/2.01 (assume @p34 (forall @t3 (=> @t47 (tptp.sdtlseqdt0 @t1 @t1)))) % 1.72/2.01 (assume @p35 (forall @t28 (=> @t50 (=> (and @t52 @t53) @t26)))) % 1.72/2.01 (assume @p36 (forall @t31 (=> (and @t47 @t49 @t55) (=> (and @t52 @t54) (tptp.sdtlseqdt0 @t1 @t18))))) % 1.72/2.01 (assume @p37 (forall @t28 (=> @t50 (or @t52 (tptp.sdtlseqdt0 @t48 @t1))))) % 1.72/2.01 (assume @p38 (forall @t28 (=> @t50 (=> (tptp.iLess0 @t1 @t5) true)))) % 1.72/2.01 (assume @p39 (forall @t3 (=> @t47 (tptp.iLess0 @t1 @t46)))) % 1.72/2.01 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t56)))) % 1.72/2.01 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t56 tptp.szNzAzT0) @t12)))) % 1.72/2.01 (assume @p42 (forall @t3 (=> @t2 (= (= @t56 tptp.sz00) @t13)))) % 1.72/2.01 (assume @p43 (forall @t3 (=> @t25 (forall @t8 (=> @t6 (=> @t57 (= (tptp.sbrdtbr0 @t38) (tptp.szszuzczcdt0 @t56)))))))) % 1.72/2.01 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t40)) @t56)))))) % 1.72/2.01 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t23) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t56)))))) % 1.72/2.01 (assume @p46 (forall @t28 (=> @t58 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t56)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5))))))) % 1.72/2.01 (assume @p47 (forall @t3 (=> (and @t60 @t17) (forall @t8 (= (= @t5 @t59) (and @t7 (forall @t21 (=> @t19 @t54)))))))) % 1.72/2.01 (assume @p48 (forall @t3 (=> (and @t60 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5))))))))) % 1.72/2.01 (assume @p49 (forall @t28 (=> (and @t60 @t62 @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t59 @t5) (tptp.aElementOf0 @t61 @t1)) (= @t59 @t61))))) % 1.72/2.01 (assume @p50 (forall @t3 (=> @t47 (forall @t8 (= (= @t5 @t63) (and @t22 (forall @t21 (= @t20 (and @t55 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1)))))))))) % 1.72/2.01 (assume @p51 (forall @t3 (=> @t47 (tptp.isFinite0 @t63)))) % 1.72/2.01 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 1.72/2.01 (assume @p53 (forall @t28 (=> @t50 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t48)) (or (tptp.aElementOf0 @t1 @t64) @t26))))) % 1.72/2.01 (assume @p54 (forall @t28 (=> @t50 (= @t52 (tptp.aSubsetOf0 @t63 @t64))))) % 1.72/2.01 (assume @p55 (forall @t3 (=> (and @t60 @t12) (exists @t8 (and @t49 (tptp.aSubsetOf0 @t1 @t64)))))) % 1.72/2.01 (assume @p56 (forall @t3 (=> @t47 (= (tptp.sbrdtbr0 @t63) @t1)))) % 1.72/2.01 (assume @p57 (forall @t28 (=> @t58 (forall @t21 (= (= @t18 @t66) (and @t30 (forall @t37 (= @t36 (and @t65 (= (tptp.sbrdtbr0 @t32) @t5)))))))))) % 1.72/2.01 (assume @p58 (forall @t3 (=> @t25 (forall @t8 (=> @t49 (tptp.isFinite0 @t66)))))) % 1.72/2.01 (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t49 (not (= @t66 tptp.slcrc0))))))) % 1.72/2.01 (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t49 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t66)))))) % 1.72/2.01 (assume @p61 (forall @t3 (=> @t47 (forall (@list @t5 @t18) (=> (and @t22 @t30 (not @t51)) (=> (and (tptp.aSubsetOf0 @t67 (tptp.slbdtsldtrb0 @t18 @t1)) (not (= @t67 tptp.slcrc0))) @t29)))))) % 1.72/2.01 (assume @p62 (forall @t28 (=> @t58 (forall @t21 (=> (and (tptp.aSubsetOf0 @t18 @t66) (tptp.isFinite0 @t18)) (exists @t37 (and @t65 (tptp.isFinite0 @t32) (tptp.aSubsetOf0 @t18 (tptp.slbdtsldtrb0 @t32 @t5))))))))) % 1.72/2.01 (assume @p63 (forall @t3 (=> @t68 true))) % 1.72/2.01 (assume @p64 (forall @t3 (=> @t68 (tptp.aSet0 @t69)))) % 1.72/2.01 (assume @p65 (forall @t3 (=> @t68 (forall @t8 (=> @t71 (tptp.aElement0 @t70)))))) % 1.72/2.01 (assume @p66 (forall @t28 (=> @t75 (forall @t21 (= (= @t18 @t74) (and @t30 (forall @t37 (= @t36 (and @t73 (= @t72 @t5)))))))))) % 1.72/2.01 (assume @p67 @t77) % 1.72/2.01 (assume @p68 (forall @t3 (=> @t68 (forall @t8 (=> @t81 (forall @t21 (= (= @t18 @t80) (and @t30 (forall @t37 (= @t36 (exists @t79 (and (tptp.aElementOf0 @t78 @t5) (= (tptp.sdtlpdtrp0 @t1 @t78) @t32))))))))))))) % 1.72/2.01 (assume @p69 (forall @t3 (=> @t68 (forall @t8 (=> @t71 (tptp.aElementOf0 @t70 @t82)))))) % 1.72/2.01 (assume @p70 (forall @t3 (=> @t68 (forall @t8 (=> @t81 (forall @t21 (= (= @t18 (tptp.sdtexdt0 @t1 @t5)) (and @t84 (= @t83 @t5) (forall @t37 (=> (tptp.aElementOf0 @t32 @t5) (= (tptp.sdtlpdtrp0 @t18 @t32) @t72))))))))))) % 1.72/2.01 (assume @p71 @t100) % 1.72/2.01 (assume @p72 (forall @t3 (=> @t68 (=> (and (tptp.isCountable0 @t69) (tptp.isFinite0 @t82)) (and (tptp.aElement0 @t101) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t101))))))) % 1.72/2.01 (assume @p73 (and @t102 (tptp.isFinite0 tptp.xT))) % 1.72/2.01 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 1.72/2.01 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 1.72/2.01 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t103 @t104) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t103) tptp.xT))) % 1.72/2.01 (assume @p77 (forall @t3 (=> @t47 (forall @t8 (=> (and @t62 @t42) (forall @t21 (=> (and @t84 (= @t83 @t67) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t18 @t83) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t37 (and (tptp.aElementOf0 @t32 tptp.xT) (exists @t79 (and (tptp.aSubsetOf0 @t78 @t5) (tptp.isCountable0 @t78) (forall (@list @t105) (=> (tptp.aElementOf0 @t105 (tptp.slbdtsldtrb0 @t78 @t1)) (= (tptp.sdtlpdtrp0 @t18 @t105) @t32))))))))))))))) % 1.72/2.01 (assume @p78 (not (= tptp.xK tptp.sz00))) % 1.72/2.01 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 1.72/2.01 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t47 (=> @t110 (and (tptp.aSubsetOf0 @t106 @t109) (tptp.isCountable0 @t106))))))) % 1.72/2.01 (assume @p81 (forall @t3 (=> @t47 @t110))) % 1.72/2.01 (assume @p82 (forall @t28 (=> @t50 (=> @t53 (tptp.aSubsetOf0 @t107 @t111))))) % 1.72/2.01 (assume @p83 @t115) % 1.72/2.01 (assume @p84 (forall @t3 (=> @t47 (forall @t8 (=> @t118 (tptp.aElementOf0 @t116 @t104)))))) % 1.72/2.01 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t47 (and (tptp.aFunction0 @t119) (= @t121 @t117) (forall @t8 (=> @t118 (= @t120 (tptp.sdtlpdtrp0 tptp.xc @t116))))))))) % 1.72/2.01 (assume @p86 (forall @t3 (=> @t47 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t119 @t121) tptp.xT)))) % 1.72/2.01 (assume @p87 (forall @t3 (=> @t47 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t109) @t42) (forall @t21 (=> (and @t30 (tptp.aElementOf0 @t18 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t18 @t117)))))))) % 1.72/2.01 (assume @p88 (forall @t3 (=> @t47 (exists @t8 (and @t122 (exists @t21 (and (tptp.aSubsetOf0 @t18 @t109) (tptp.isCountable0 @t18) (forall @t37 (=> (and (tptp.aSet0 @t32) (tptp.aElementOf0 @t32 (tptp.slbdtsldtrb0 @t18 tptp.xk))) (= (tptp.sdtlpdtrp0 @t119 @t32) @t5)))))))))) % 1.72/2.01 (assume @p89 (forall @t3 (=> @t47 (exists @t8 (and @t122 (forall @t21 (=> (and @t30 (tptp.aElementOf0 @t18 @t123)) (= (tptp.sdtlpdtrp0 @t119 @t18) @t5)))))))) % 1.72/2.01 (assume @p90 (and @t128 (= @t127 tptp.szNzAzT0) @t126)) % 1.72/2.01 (assume @p91 (and @t130 (= @t129 tptp.szNzAzT0) (forall @t3 (=> @t47 (forall @t8 (=> (and @t22 (tptp.aElementOf0 @t5 @t123)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t120))))))) % 1.72/2.01 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t129) tptp.xT)) % 1.72/2.01 (assume @p93 (and @t134 @t133)) % 1.72/2.01 (assume @p94 (and (tptp.aSet0 tptp.xO) (= tptp.xO @t135))) % 1.72/2.01 (assume @p95 (not (tptp.isCountable0 tptp.xO))) % 1.72/2.01 (assume @p96 true) % 1.72/2.01 (step @p97 :rule evaluate :args ((= true false))) % 1.72/2.01 (step @p98 :rule aci_norm :args ((= (or (or @t137 @t136 @t26) @t112) (or @t137 @t136 @t26 @t112)))) % 1.72/2.01 (step @p99 :rule refl :args (@t112)) % 1.72/2.01 (step @p100 :rule bool-double-not-elim :args (@t26)) % 1.72/2.01 (step @p101 :rule refl :args (@t136)) % 1.72/2.01 (step @p102 :rule refl :args (@t137)) % 1.72/2.01 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args (@t139)) % 1.72/2.01 (step @p104 :rule aci_norm :args ((= (or @t137 (or @t136 @t138)) @t139))) % 1.72/2.01 (step @p105 :rule trans :premises (@p104 @p103)) % 1.72/2.01 (step @p106 :rule bool-and-de-morgan :args (@t49 @t113 true)) % 1.72/2.01 (step @p107 :rule nary_cong :premises (@p102 @p106) :args ((or @t137 (not (and @t49 @t113))))) % 1.72/2.01 (step @p108 :rule bool-and-de-morgan :args (@t47 @t49 (and @t113))) % 1.72/2.01 (step @p109 :rule trans :premises (@p108 @p107)) % 1.72/2.01 (step @p110 :rule trans :premises (@p109 @p105)) % 1.72/2.01 (step @p111 :rule nary_cong :premises (@p110 @p99) :args ((or (not @t114) @t112))) % 1.72/2.01 (step @p112 :rule trans :premises (@p111 @p98)) % 1.72/2.01 (step @p113 :rule bool-impl-elim :args (@t114 @t112)) % 1.72/2.01 (step @p114 :rule trans :premises (@p113 @p112)) % 1.72/2.01 (step @p115 :rule cong :premises (@p114) :args (@t115)) % 1.72/2.01 (step @p116 :rule eq_resolve :premises (@p83 @p115)) % 1.72/2.01 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t142 @t141))) % 1.72/2.01 (step @p118 :rule aci_norm :args ((= @t155 (or @t153 @t152 @t146 @t145 @t144)))) % 1.72/2.01 (step @p119 :rule cong :premises (@p118) :args (@t156)) % 1.72/2.01 (step @p120 :rule quant-merge-prenex :args ((= (forall @t3 @t158) @t156))) % 1.72/2.01 (step @p121 :rule alpha_equiv :args (@t159 (@list @t143) @t160)) % 1.72/2.01 (step @p122 :rule refl :args (@t152)) % 1.72/2.01 (step @p123 :rule refl :args (@t153)) % 1.72/2.01 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121) :args (@t161)) % 1.72/2.01 (step @p125 :rule quant-miniscope-or :args ((= @t158 @t161))) % 1.72/2.01 (step @p126 :rule trans :premises (@p125 @p124)) % 1.72/2.01 (step @p127 :rule symm :premises (@p126)) % 1.72/2.01 (step @p128 :rule cong :premises (@p127) :args ((forall @t3 @t166))) % 1.72/2.01 (step @p129 :rule trans :premises (@p128 @p120)) % 1.72/2.01 (step @p130 :rule trans :premises (@p129 @p119)) % 1.72/2.01 (step @p131 :rule aci_norm :args ((= (or @t153 @t167) @t166))) % 1.72/2.01 (step @p132 :rule bool-impl-elim :args (@t68 @t167)) % 1.72/2.01 (step @p133 :rule trans :premises (@p132 @p131)) % 1.72/2.01 (step @p134 :rule cong :premises (@p133) :args ((forall @t3 (=> @t68 @t167)))) % 1.72/2.01 (step @p135 :rule trans :premises (@p134 @p130)) % 1.72/2.01 (step @p136 :rule quant-miniscope-or :args ((= (forall @t8 @t168) @t167))) % 1.72/2.01 (step @p137 :rule aci_norm :args ((= @t169 @t168))) % 1.72/2.01 (step @p138 :rule cong :premises (@p137) :args ((forall @t8 @t169))) % 1.72/2.01 (step @p139 :rule trans :premises (@p138 @p136)) % 1.72/2.01 (step @p140 :rule aci_norm :args ((= (or (or @t163 @t162) (or @t152 @t85)) @t169))) % 1.72/2.01 (step @p141 :rule bool-impl-elim :args (@t151 @t85)) % 1.72/2.01 (step @p142 :rule bool-and-de-morgan :args (@t81 @t42 true)) % 1.72/2.01 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or (not @t96) @t170))) % 1.72/2.01 (step @p144 :rule trans :premises (@p143 @p140)) % 1.72/2.01 (step @p145 :rule bool-impl-elim :args (@t96 @t170)) % 1.72/2.01 (step @p146 :rule trans :premises (@p145 @p144)) % 1.72/2.01 (step @p147 :rule cong :premises (@p146) :args ((forall @t8 (=> @t96 @t170)))) % 1.72/2.01 (step @p148 :rule trans :premises (@p147 @p139)) % 1.72/2.01 (step @p149 :rule refl :args (@t85)) % 1.72/2.01 (step @p150 :rule aci_norm :args ((= (or (or @t149 @t148 @t88) @t147) @t150))) % 1.72/2.01 (step @p151 :rule refl :args (@t147)) % 1.72/2.01 (step @p152 :rule bool-double-not-elim :args (@t88)) % 1.72/2.01 (step @p153 :rule refl :args (@t148)) % 1.72/2.01 (step @p154 :rule refl :args (@t149)) % 1.72/2.01 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152) :args (@t172)) % 1.72/2.01 (step @p156 :rule aci_norm :args ((= (or @t149 (or @t148 @t171)) @t172))) % 1.72/2.01 (step @p157 :rule trans :premises (@p156 @p155)) % 1.72/2.01 (step @p158 :rule bool-and-de-morgan :args (@t73 @t89 true)) % 1.72/2.01 (step @p159 :rule nary_cong :premises (@p154 @p158) :args ((or @t149 (not (and @t73 @t89))))) % 1.72/2.01 (step @p160 :rule bool-and-de-morgan :args (@t90 @t73 (and @t89))) % 1.72/2.01 (step @p161 :rule trans :premises (@p160 @p159)) % 1.72/2.01 (step @p162 :rule trans :premises (@p161 @p157)) % 1.72/2.01 (step @p163 :rule nary_cong :premises (@p162 @p151) :args ((or (not @t91) @t147))) % 1.72/2.01 (step @p164 :rule trans :premises (@p163 @p150)) % 1.72/2.01 (step @p165 :rule bool-impl-elim :args (@t91 @t147)) % 1.72/2.01 (step @p166 :rule trans :premises (@p165 @p164)) % 1.72/2.01 (step @p167 :rule cong :premises (@p166) :args ((forall @t93 (=> @t91 @t147)))) % 1.72/2.01 (step @p168 :rule eq-symm :args (@t86 @t72)) % 1.72/2.01 (step @p169 :rule cong :premises (@p168) :args (@t87)) % 1.72/2.01 (step @p170 :rule refl :args (@t91)) % 1.72/2.01 (step @p171 :rule cong :premises (@p170 @p169) :args (@t92)) % 1.72/2.01 (step @p172 :rule cong :premises (@p171) :args (@t94)) % 1.72/2.01 (step @p173 :rule trans :premises (@p172 @p167)) % 1.72/2.01 (step @p174 :rule cong :premises (@p173 @p149) :args (@t95)) % 1.72/2.01 (step @p175 :rule refl :args (@t96)) % 1.72/2.01 (step @p176 :rule cong :premises (@p175 @p174) :args (@t97)) % 1.72/2.01 (step @p177 :rule cong :premises (@p176) :args (@t98)) % 1.72/2.01 (step @p178 :rule trans :premises (@p177 @p148)) % 1.72/2.01 (step @p179 :rule refl :args (@t68)) % 1.72/2.01 (step @p180 :rule cong :premises (@p179 @p178) :args (@t99)) % 1.72/2.01 (step @p181 :rule cong :premises (@p180) :args (@t100)) % 1.72/2.01 (step @p182 :rule trans :premises (@p181 @p135)) % 1.72/2.01 (step @p183 :rule eq_resolve :premises (@p71 @p182)) % 1.72/2.01 (step @p184 :rule instantiate :premises (@p183) :args ((@list tptp.xe @t132))) % 1.72/2.01 (step @p185 :rule false_intro :premises (@p95)) % 1.72/2.01 (step @p186 :rule and_elim :premises (@p94) :args (1)) % 1.72/2.01 (step @p187 :rule symm :premises (@p186)) % 1.72/2.01 (step @p188 :rule cong :premises (@p187) :args (@t173)) % 1.72/2.01 (step @p189 :rule trans :premises (@p188 @p185)) % 1.72/2.01 (step @p190 :rule false_elim :premises (@p189)) % 1.72/2.01 (step @p191 :rule aci_norm :args ((= (or (or @t153 @t174) @t76) (or @t153 @t174 @t76)))) % 1.72/2.01 (step @p192 :rule refl :args (@t76)) % 1.72/2.01 (step @p193 :rule bool-and-de-morgan :args (@t68 @t6 true)) % 1.72/2.01 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or (not @t75) @t76))) % 1.72/2.01 (step @p195 :rule trans :premises (@p194 @p191)) % 1.72/2.01 (step @p196 :rule bool-impl-elim :args (@t75 @t76)) % 1.72/2.01 (step @p197 :rule trans :premises (@p196 @p195)) % 1.72/2.01 (step @p198 :rule cong :premises (@p197) :args (@t77)) % 1.72/2.01 (step @p199 :rule 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@t190)))) % 1.72/2.01 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p224 @p223) :args (@t187 @t191 (@list @t102 @t134 @t190))) % 1.72/2.01 (step @p229 :rule and_elim :premises (@p91) :args (0)) % 1.72/2.01 (step @p230 :rule cnf_or_pos :args (@t195)) % 1.72/2.01 (step @p231 :rule reordering :premises (@p230) :args ((or @t194 @t193 @t192 (not @t195)))) % 1.72/2.01 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p228 @p200) :args (@t192 @t191 (@list @t130 @t187 @t195))) % 1.72/2.01 (step @p233 :rule true_intro :premises (@p232)) % 1.72/2.01 (step @p234 :rule and_elim :premises (@p91) :args (1)) % 1.72/2.01 (step @p235 :rule symm :premises (@p234)) % 1.72/2.01 (step @p236 :rule and_elim :premises (@p90) :args (1)) % 1.72/2.01 (step @p237 :rule trans :premises (@p236 @p235)) % 1.72/2.01 (step @p238 :rule refl :args (@t132)) % 1.72/2.01 (step @p239 :rule cong :premises (@p238 @p237) :args (@t196)) % 1.72/2.01 (step @p240 :rule trans :premises (@p239 @p233)) % 1.72/2.01 (step @p241 :rule true_elim :premises (@p240)) % 1.72/2.01 (step @p242 :rule and_elim :premises (@p93) :args (1)) % 1.72/2.01 (step @p243 :rule and_elim :premises (@p90) :args (0)) % 1.72/2.01 (step @p244 :rule cnf_or_pos :args (@t201)) % 1.72/2.01 (step @p245 :rule reordering :premises (@p244) :args ((or @t200 @t197 @t199 @t198 @t173 (not @t201)))) % 1.72/2.01 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p242 @p241 @p190 @p184) :args (@t199 (@list false false false true false) (@list @t128 @t133 @t196 @t173 @t201))) % 1.72/2.01 (step @p247 :rule skolemize :premises (@p246)) % 1.72/2.01 (step @p248 :rule bool-double-not-elim :args (@t202)) % 1.72/2.01 (step @p249 :rule refl :args (@t211)) % 1.72/2.01 (step @p250 :rule nary_cong :premises (@p249 @p248) :args ((or @t211 (not @t208)))) % 1.72/2.01 (step @p251 :rule cnf_or_neg :args (@t211 1)) % 1.72/2.01 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 1.72/2.01 (step @p253 :rule reordering :premises (@p252) :args ((or @t202 @t211))) % 1.72/2.01 (step @p254 :rule chain_m_resolution :premises (@p253 @p247) :args (@t202 @t212 @t213)) % 1.72/2.01 (step @p255 :rule true_intro :premises (@p254)) % 1.72/2.01 (step @p256 :rule symm :premises (@p236)) % 1.72/2.01 (step @p257 :rule refl :args (@t141)) % 1.72/2.01 (step @p258 :rule cong :premises (@p257 @p256) :args (@t214)) % 1.72/2.01 (step @p259 :rule trans :premises (@p258 @p255)) % 1.72/2.01 (step @p260 :rule true_elim :premises (@p259)) % 1.72/2.01 (step @p261 :rule bool-double-not-elim :args (@t209)) % 1.72/2.01 (step @p262 :rule nary_cong :premises (@p249 @p261) :args ((or @t211 (not @t210)))) % 1.72/2.01 (step @p263 :rule cnf_or_neg :args (@t211 0)) % 1.72/2.01 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 1.72/2.01 (step @p265 :rule reordering :premises (@p264) :args ((or @t209 @t211))) % 1.72/2.01 (step @p266 :rule chain_m_resolution :premises (@p265 @p247) :args (@t209 @t212 @t213)) % 1.72/2.01 (step @p267 :rule true_intro :premises (@p266)) % 1.72/2.01 (step @p268 :rule refl :args (@t142)) % 1.72/2.01 (step @p269 :rule cong :premises (@p268 @p256) :args (@t215)) % 1.72/2.01 (step @p270 :rule trans :premises (@p269 @p267)) % 1.72/2.01 (step @p271 :rule true_elim :premises (@p270)) % 1.72/2.01 (step @p272 :rule cnf_or_neg :args (@t211 2)) % 1.72/2.01 (step @p273 :rule chain_m_resolution :premises (@p272 @p247) :args ((not @t207) @t212 @t213)) % 1.72/2.01 (step @p274 :rule cnf_or_pos :args (@t221)) % 1.72/2.01 (step @p275 :rule reordering :premises (@p274) :args ((or @t207 @t220 @t219 @t218 (not @t221)))) % 1.72/2.01 (step @p276 :rule chain_m_resolution :premises (@p275 @p273 @p271 @p260 @p117) :args (@t218 (@list true false false false) (@list @t207 @t215 @t214 @t221))) % 1.72/2.01 (step @p277 :rule false_intro :premises (@p276)) % 1.72/2.01 (step @p278 :rule bool-impl-elim :args (@t47 @t222)) % 1.72/2.01 (step @p279 :rule cong :premises (@p278) :args ((forall @t3 (=> @t47 @t222)))) % 1.72/2.01 (step @p280 :rule eq-symm :args (@t124 @t108)) % 1.72/2.01 (step @p281 :rule refl :args (@t47)) % 1.72/2.01 (step @p282 :rule cong :premises (@p281 @p280) :args (@t125)) % 1.72/2.01 (step @p283 :rule cong :premises (@p282) :args (@t126)) % 1.72/2.01 (step @p284 :rule trans :premises (@p283 @p279)) % 1.72/2.01 (step @p285 :rule and_elim :premises (@p90) :args (2)) % 1.72/2.01 (step @p286 :rule eq_resolve :premises (@p285 @p284)) % 1.72/2.01 (step @p287 :rule eq-symm :args (@t216 @t204)) % 1.72/2.01 (step @p288 :rule refl :args (@t219)) % 1.72/2.01 (step @p289 :rule nary_cong :premises (@p288 @p287) :args (@t223)) % 1.72/2.01 (step @p290 :rule refl :args (@t224)) % 1.72/2.01 (step @p291 :rule cong :premises (@p290 @p289) :args ((=> @t224 @t223))) % 1.72/2.01 (assume-push @p331 @t224) % 1.72/2.01 (step @p293 :rule instantiate :premises (@p286) :args ((@list @t141))) % 1.72/2.01 (step-pop @p332 :rule scope :premises (@p293)) % 1.72/2.01 (step @p294 :rule process_scope :premises (@p332) :args (@t223)) % 1.72/2.01 (step @p296 :rule eq_resolve :premises (@p294 @p291)) % 1.72/2.01 (step @p297 :rule implies_elim :premises (@p296)) % 1.72/2.01 (step @p298 :rule chain_m_resolution :premises (@p297 @p286) :args (@t226 @t227 @t228)) % 1.72/2.01 (step @p299 :rule cnf_or_pos :args (@t226)) % 1.72/2.02 (step @p300 :rule reordering :premises (@p299) :args ((or @t219 @t225 (not @t226)))) % 1.72/2.02 (step @p301 :rule chain_m_resolution :premises (@p300 @p260 @p298) :args (@t225 @t229 (@list @t214 @t226))) % 1.72/2.02 (step @p302 :rule bool-double-not-elim :args (@t205)) % 1.72/2.02 (step @p303 :rule nary_cong :premises (@p249 @p302) :args ((or @t211 (not @t206)))) % 1.72/2.02 (step @p304 :rule cnf_or_neg :args (@t211 3)) % 1.72/2.02 (step @p305 :rule eq_resolve :premises (@p304 @p303)) % 1.72/2.02 (step @p306 :rule reordering :premises (@p305) :args ((or @t205 @t211))) % 1.72/2.02 (step @p307 :rule chain_m_resolution :premises (@p306 @p247) :args (@t205 @t212 @t213)) % 1.72/2.02 (step @p308 :rule symm :premises (@p307)) % 1.72/2.02 (step @p309 :rule trans :premises (@p308 @p301)) % 1.72/2.02 (step @p310 :rule eq-symm :args (@t217 @t203)) % 1.72/2.02 (step @p311 :rule refl :args (@t220)) % 1.72/2.02 (step @p312 :rule nary_cong :premises (@p311 @p310) :args (@t230)) % 1.72/2.02 (step @p313 :rule cong :premises (@p290 @p312) :args ((=> @t224 @t230))) % 1.72/2.02 (assume-push @p333 @t224) % 1.72/2.02 (step @p315 :rule instantiate :premises (@p286) :args ((@list @t142))) % 1.72/2.02 (step-pop @p334 :rule scope :premises (@p315)) % 1.72/2.02 (step @p316 :rule process_scope :premises (@p334) :args (@t230)) % 1.72/2.02 (step @p318 :rule eq_resolve :premises (@p316 @p313)) % 1.72/2.02 (step @p319 :rule implies_elim :premises (@p318)) % 1.72/2.02 (step @p320 :rule chain_m_resolution :premises (@p319 @p286) :args (@t232 @t227 @t228)) % 1.72/2.02 (step @p321 :rule cnf_or_pos :args (@t232)) % 1.72/2.02 (step @p322 :rule reordering :premises (@p321) :args ((or @t220 @t231 (not @t232)))) % 1.72/2.02 (step @p323 :rule chain_m_resolution :premises (@p322 @p271 @p320) :args (@t231 @t229 (@list @t215 @t232))) % 1.72/2.02 (step @p324 :rule trans :premises (@p307 @p323)) % 1.72/2.02 (step @p325 :rule symm :premises (@p324)) % 1.72/2.02 (step @p326 :rule trans :premises (@p325 @p307 @p309)) % 1.72/2.02 (step @p327 :rule true_intro :premises (@p326)) % 1.72/2.02 (step @p328 :rule symm :premises (@p327)) % 1.72/2.02 (step @p329 :rule trans :premises (@p328 @p277)) % 1.72/2.02 (step @p330 false :rule eq_resolve :premises (@p329 @p97)) % 1.72/2.02 ) % 1.72/2.02 % SZS output end Proof % 1.72/2.02 % cvc5 exiting %------------------------------------------------------------------------------