%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM631+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:40:05 AM UTC 2026 % Result : Theorem 41.99s 42.27s % Output : Proof 41.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM631+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:37:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 41.99/42.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 41.99/42.27 --- Run --no-e-matching --full-saturate-quant at 6... % 41.99/42.27 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 41.99/42.27 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 41.99/42.27 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 41.99/42.27 % SZS status Theorem % 41.99/42.27 % SZS output start Proof % 41.99/42.27 ( % 41.99/42.27 (declare-sort $$unsorted 0) % 41.99/42.27 (declare-const tptp.xD $$unsorted) % 41.99/42.27 (declare-const tptp.xn $$unsorted) % 41.99/42.27 (declare-const tptp.xp $$unsorted) % 41.99/42.27 (declare-const tptp.xQ $$unsorted) % 41.99/42.27 (declare-const tptp.xe $$unsorted) % 41.99/42.27 (declare-const tptp.xP $$unsorted) % 41.99/42.27 (declare-const tptp.xC $$unsorted) % 41.99/42.27 (declare-const tptp.xN $$unsorted) % 41.99/42.27 (declare-const tptp.sz00 $$unsorted) % 41.99/42.27 (declare-const tptp.xc $$unsorted) % 41.99/42.27 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 41.99/42.27 (declare-const tptp.szNzAzT0 $$unsorted) % 41.99/42.27 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 41.99/42.27 (declare-const tptp.xd $$unsorted) % 41.99/42.27 (declare-const tptp.xk $$unsorted) % 41.99/42.27 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 41.99/42.27 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 41.99/42.27 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 41.99/42.27 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 41.99/42.27 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 41.99/42.27 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 41.99/42.27 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 41.99/42.27 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.xK $$unsorted) % 41.99/42.27 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.xT $$unsorted) % 41.99/42.27 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.xO $$unsorted) % 41.99/42.27 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.xS $$unsorted) % 41.99/42.27 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.slcrc0 $$unsorted) % 41.99/42.27 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 41.99/42.27 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 41.99/42.27 (define @t1 () (@var "W0" $$unsorted)) % 41.99/42.27 (define @t2 () (tptp.aSet0 @t1)) % 41.99/42.27 (define @t3 () (@list @t1)) % 41.99/42.27 (define @t4 () (tptp.aElement0 @t1)) % 41.99/42.27 (define @t5 () (@var "W1" $$unsorted)) % 41.99/42.27 (define @t6 () (tptp.aElement0 @t5)) % 41.99/42.27 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 41.99/42.27 (define @t8 () (@list @t5)) % 41.99/42.27 (define @t9 () (tptp.isFinite0 @t1)) % 41.99/42.27 (define @t10 () (= @t1 tptp.slcrc0)) % 41.99/42.27 (define @t11 () (tptp.isCountable0 @t1)) % 41.99/42.27 (define @t12 () (not @t9)) % 41.99/42.27 (define @t13 () (and @t2 @t11)) % 41.99/42.27 (define @t14 () (not @t10)) % 41.99/42.27 (define @t15 () (@var "W2" $$unsorted)) % 41.99/42.27 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 41.99/42.27 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 41.99/42.27 (define @t18 () (@list @t15)) % 41.99/42.27 (define @t19 () (forall @t18 (=> @t17 @t16))) % 41.99/42.27 (define @t20 () (tptp.aSet0 @t5)) % 41.99/42.27 (define @t21 () (and @t20 @t19)) % 41.99/42.27 (define @t22 () (tptp.aSubsetOf0 @t5 @t1)) % 41.99/42.27 (define @t23 () (= @t22 @t21)) % 41.99/42.27 (define @t24 () (forall @t8 @t23)) % 41.99/42.27 (define @t25 () (=> @t2 @t24)) % 41.99/42.27 (define @t26 () (forall @t3 @t25)) % 41.99/42.27 (define @t27 () (tptp.isFinite0 @t5)) % 41.99/42.27 (define @t28 () (and @t2 @t9)) % 41.99/42.27 (define @t29 () (= @t1 @t5)) % 41.99/42.27 (define @t30 () (tptp.aSubsetOf0 @t1 @t5)) % 41.99/42.27 (define @t31 () (@list @t1 @t5)) % 41.99/42.27 (define @t32 () (tptp.aSubsetOf0 @t5 @t15)) % 41.99/42.27 (define @t33 () (tptp.aSet0 @t15)) % 41.99/42.27 (define @t34 () (@list @t1 @t5 @t15)) % 41.99/42.27 (define @t35 () (@var "W3" $$unsorted)) % 41.99/42.27 (define @t36 () (= @t35 @t5)) % 41.99/42.27 (define @t37 () (tptp.aElementOf0 @t35 @t1)) % 41.99/42.27 (define @t38 () (tptp.aElement0 @t35)) % 41.99/42.27 (define @t39 () (tptp.aElementOf0 @t35 @t15)) % 41.99/42.27 (define @t40 () (@list @t35)) % 41.99/42.27 (define @t41 () (tptp.sdtpldt0 @t1 @t5)) % 41.99/42.27 (define @t42 () (and @t2 @t6)) % 41.99/42.27 (define @t43 () (tptp.sdtmndt0 @t1 @t5)) % 41.99/42.27 (define @t44 () (tptp.sdtpldt0 @t43 @t5)) % 41.99/42.27 (define @t45 () (=> @t7 (= @t44 @t1))) % 41.99/42.27 (define @t46 () (forall @t8 @t45)) % 41.99/42.27 (define @t47 () (=> @t2 @t46)) % 41.99/42.27 (define @t48 () (forall @t3 @t47)) % 41.99/42.27 (define @t49 () (tptp.sdtpldt0 @t5 @t1)) % 41.99/42.27 (define @t50 () (tptp.isCountable0 @t5)) % 41.99/42.27 (define @t51 () (and @t20 @t50)) % 41.99/42.27 (define @t52 () (tptp.sdtmndt0 @t5 @t1)) % 41.99/42.27 (define @t53 () (and @t20 @t27)) % 41.99/42.27 (define @t54 () (tptp.aSet0 tptp.szNzAzT0)) % 41.99/42.27 (define @t55 () (tptp.szszuzczcdt0 @t1)) % 41.99/42.27 (define @t56 () (not (= @t55 tptp.sz00))) % 41.99/42.27 (define @t57 () (tptp.aElementOf0 @t55 tptp.szNzAzT0)) % 41.99/42.27 (define @t58 () (and @t57 @t56)) % 41.99/42.27 (define @t59 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 41.99/42.27 (define @t60 () (=> @t59 @t58)) % 41.99/42.27 (define @t61 () (forall @t3 @t60)) % 41.99/42.27 (define @t62 () (tptp.szszuzczcdt0 @t5)) % 41.99/42.27 (define @t63 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 41.99/42.27 (define @t64 () (and @t59 @t63)) % 41.99/42.27 (define @t65 () (= @t1 tptp.sz00)) % 41.99/42.27 (define @t66 () (tptp.sdtlseqdt0 @t1 @t5)) % 41.99/42.27 (define @t67 () (tptp.sdtlseqdt0 @t5 @t1)) % 41.99/42.27 (define @t68 () (tptp.sdtlseqdt0 @t5 @t15)) % 41.99/42.27 (define @t69 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 41.99/42.27 (define @t70 () (tptp.sbrdtbr0 @t1)) % 41.99/42.27 (define @t71 () (not @t7)) % 41.99/42.27 (define @t72 () (and @t2 @t63)) % 41.99/42.27 (define @t73 () (tptp.szmzizndt0 @t1)) % 41.99/42.27 (define @t74 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 41.99/42.27 (define @t75 () (tptp.szmzizndt0 @t5)) % 41.99/42.27 (define @t76 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 41.99/42.27 (define @t77 () (tptp.slbdtrb0 @t1)) % 41.99/42.27 (define @t78 () (tptp.slbdtrb0 @t5)) % 41.99/42.27 (define @t79 () (tptp.sbrdtbr0 @t35)) % 41.99/42.27 (define @t80 () (tptp.aSubsetOf0 @t35 @t1)) % 41.99/42.27 (define @t81 () (and @t80 (= @t79 @t5))) % 41.99/42.27 (define @t82 () (= @t39 @t81)) % 41.99/42.27 (define @t83 () (forall @t40 @t82)) % 41.99/42.27 (define @t84 () (and @t33 @t83)) % 41.99/42.27 (define @t85 () (tptp.slbdtsldtrb0 @t1 @t5)) % 41.99/42.27 (define @t86 () (= @t15 @t85)) % 41.99/42.27 (define @t87 () (= @t86 @t84)) % 41.99/42.27 (define @t88 () (forall @t18 @t87)) % 41.99/42.27 (define @t89 () (=> @t72 @t88)) % 41.99/42.27 (define @t90 () (forall @t31 @t89)) % 41.99/42.27 (define @t91 () (tptp.slbdtsldtrb0 @t5 @t1)) % 41.99/42.27 (define @t92 () (tptp.aFunction0 @t1)) % 41.99/42.27 (define @t93 () (tptp.szDzozmdt0 @t1)) % 41.99/42.27 (define @t94 () (tptp.sdtlpdtrp0 @t1 @t5)) % 41.99/42.27 (define @t95 () (tptp.aElementOf0 @t5 @t93)) % 41.99/42.27 (define @t96 () (tptp.sdtlpdtrp0 @t1 @t35)) % 41.99/42.27 (define @t97 () (tptp.aElementOf0 @t35 @t93)) % 41.99/42.27 (define @t98 () (tptp.sdtlbdtrb0 @t1 @t5)) % 41.99/42.27 (define @t99 () (and @t92 @t6)) % 41.99/42.27 (define @t100 () (@var "W4" $$unsorted)) % 41.99/42.27 (define @t101 () (@list @t100)) % 41.99/42.27 (define @t102 () (tptp.sdtlcdtrc0 @t1 @t5)) % 41.99/42.27 (define @t103 () (tptp.aSubsetOf0 @t5 @t93)) % 41.99/42.27 (define @t104 () (tptp.sdtlcdtrc0 @t1 @t93)) % 41.99/42.27 (define @t105 () (tptp.szDzozmdt0 @t15)) % 41.99/42.27 (define @t106 () (tptp.aFunction0 @t15)) % 41.99/42.27 (define @t107 () (tptp.szDzizrdt0 @t1)) % 41.99/42.27 (define @t108 () (tptp.szDzozmdt0 tptp.xc)) % 41.99/42.27 (define @t109 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 41.99/42.27 (define @t110 () (@var "W5" $$unsorted)) % 41.99/42.27 (define @t111 () (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 41.99/42.27 (define @t112 () (tptp.sdtlpdtrp0 tptp.xN @t55)) % 41.99/42.27 (define @t113 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 41.99/42.27 (define @t114 () (tptp.szmzizndt0 @t113)) % 41.99/42.27 (define @t115 () (tptp.sdtmndt0 @t113 @t114)) % 41.99/42.27 (define @t116 () (tptp.isCountable0 @t113)) % 41.99/42.27 (define @t117 () (tptp.aSubsetOf0 @t113 tptp.szNzAzT0)) % 41.99/42.27 (define @t118 () (and @t117 @t116)) % 41.99/42.27 (define @t119 () (tptp.szDzozmdt0 tptp.xN)) % 41.99/42.27 (define @t120 () (forall @t3 (=> @t59 @t118))) % 41.99/42.27 (define @t121 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 41.99/42.27 (define @t122 () (not (= @t114 (tptp.szmzizndt0 @t121)))) % 41.99/42.27 (define @t123 () (not @t29)) % 41.99/42.27 (define @t124 () (and @t59 @t63 @t123)) % 41.99/42.27 (define @t125 () (forall @t31 (=> @t124 @t122))) % 41.99/42.27 (define @t126 () (tptp.sdtpldt0 @t5 @t114)) % 41.99/42.27 (define @t127 () (tptp.slbdtsldtrb0 @t115 tptp.xk)) % 41.99/42.27 (define @t128 () (and @t20 (tptp.aElementOf0 @t5 @t127))) % 41.99/42.27 (define @t129 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 41.99/42.27 (define @t130 () (tptp.sdtlpdtrp0 @t129 @t5)) % 41.99/42.27 (define @t131 () (tptp.szDzozmdt0 @t129)) % 41.99/42.27 (define @t132 () (tptp.aElementOf0 @t5 tptp.xT)) % 41.99/42.27 (define @t133 () (tptp.slbdtsldtrb0 @t112 tptp.xk)) % 41.99/42.27 (define @t134 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 41.99/42.27 (define @t135 () (=> @t59 (= @t134 @t114))) % 41.99/42.27 (define @t136 () (forall @t3 @t135)) % 41.99/42.27 (define @t137 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 41.99/42.27 (define @t138 () (tptp.aElementOf0 @t5 @t133)) % 41.99/42.27 (define @t139 () (and @t20 @t138)) % 41.99/42.27 (define @t140 () (=> @t139 (= @t137 @t130))) % 41.99/42.27 (define @t141 () (forall @t8 @t140)) % 41.99/42.27 (define @t142 () (=> @t59 @t141)) % 41.99/42.27 (define @t143 () (forall @t3 @t142)) % 41.99/42.27 (define @t144 () (tptp.szDzozmdt0 tptp.xd)) % 41.99/42.27 (define @t145 () (tptp.szDzizrdt0 tptp.xd)) % 41.99/42.27 (define @t146 () (tptp.sdtlbdtrb0 tptp.xd @t145)) % 41.99/42.27 (define @t147 () (tptp.sdtlcdtrc0 tptp.xe @t146)) % 41.99/42.27 (define @t148 () (tptp.aSet0 tptp.xO)) % 41.99/42.27 (define @t149 () (tptp.sdtlpdtrp0 tptp.xe @t5)) % 41.99/42.27 (define @t150 () (tptp.aElementOf0 @t5 @t146)) % 41.99/42.27 (define @t151 () (and @t63 @t150 (= @t149 @t1))) % 41.99/42.27 (define @t152 () (exists @t8 @t151)) % 41.99/42.27 (define @t153 () (tptp.aElementOf0 @t1 tptp.xO)) % 41.99/42.27 (define @t154 () (=> @t153 @t152)) % 41.99/42.27 (define @t155 () (forall @t3 @t154)) % 41.99/42.27 (define @t156 () (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) % 41.99/42.27 (define @t157 () (tptp.szmzizndt0 tptp.xQ)) % 41.99/42.27 (define @t158 () (tptp.sdtmndt0 tptp.xQ @t157)) % 41.99/42.27 (define @t159 () (tptp.aSet0 tptp.xP)) % 41.99/42.27 (define @t160 () (tptp.aElementOf0 tptp.xp tptp.xQ)) % 41.99/42.27 (define @t161 () (tptp.aElementOf0 tptp.xp tptp.xO)) % 41.99/42.27 (define @t162 () (tptp.sbrdtbr0 tptp.xP)) % 41.99/42.27 (define @t163 () (tptp.sdtlpdtrp0 tptp.xe tptp.xn)) % 41.99/42.27 (define @t164 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0)) % 41.99/42.27 (define @t165 () (tptp.sdtlpdtrp0 tptp.xd tptp.xn)) % 41.99/42.27 (define @t166 () (tptp.szszuzczcdt0 tptp.xn)) % 41.99/42.27 (define @t167 () (tptp.sdtlpdtrp0 tptp.xN @t166)) % 41.99/42.27 (define @t168 () (tptp.aSubsetOf0 tptp.xP @t167)) % 41.99/42.27 (define @t169 () (tptp.sdtlpdtrp0 tptp.xN tptp.xn)) % 41.99/42.27 (define @t170 () (tptp.szmzizndt0 @t169)) % 41.99/42.27 (define @t171 () (tptp.sdtlpdtrp0 tptp.xC tptp.xn)) % 41.99/42.27 (define @t172 () (tptp.sdtlpdtrp0 @t171 tptp.xP)) % 41.99/42.27 (define @t173 () (tptp.sdtpldt0 tptp.xP @t170)) % 41.99/42.27 (define @t174 () (tptp.sdtlpdtrp0 tptp.xc @t173)) % 41.99/42.27 (define @t175 () (= @t174 @t172)) % 41.99/42.27 (define @t176 () (@var "BOUND_VARIABLE_8838" $$unsorted)) % 41.99/42.27 (define @t177 () (tptp.aElementOf0 @t35 @t176)) % 41.99/42.27 (define @t178 () (and @t80 (= @t5 @t79))) % 41.99/42.27 (define @t179 () (tptp.aSet0 @t176)) % 41.99/42.27 (define @t180 () (= (= @t85 @t176) (and @t179 (forall @t40 (= @t178 @t177))))) % 41.99/42.27 (define @t181 () (not @t63)) % 41.99/42.27 (define @t182 () (not @t2)) % 41.99/42.27 (define @t183 () (or @t182 @t181 @t180)) % 41.99/42.27 (define @t184 () (@list @t1 @t5 @t176)) % 41.99/42.27 (define @t185 () (forall @t40 (= @t177 @t178))) % 41.99/42.27 (define @t186 () (and @t179 @t185)) % 41.99/42.27 (define @t187 () (= (= @t176 @t85) @t186)) % 41.99/42.27 (define @t188 () (or @t182 @t181 @t187)) % 41.99/42.27 (define @t189 () (forall @t184 @t188)) % 41.99/42.27 (define @t190 () (@list @t176)) % 41.99/42.27 (define @t191 () (forall @t190 @t188)) % 41.99/42.27 (define @t192 () (forall @t190 @t187)) % 41.99/42.27 (define @t193 () (or @t182 @t181 @t192)) % 41.99/42.27 (define @t194 () (forall @t18 (= @t86 (and @t33 (forall @t40 (= @t39 @t178)))))) % 41.99/42.27 (define @t195 () (or @t182 @t181 @t194)) % 41.99/42.27 (define @t196 () (tptp.sbrdtbr0 @t158)) % 41.99/42.27 (define @t197 () (tptp.aSubsetOf0 @t35 @t167)) % 41.99/42.27 (define @t198 () (and @t197 (= @t196 @t79))) % 41.99/42.27 (define @t199 () (not @t150)) % 41.99/42.27 (define @t200 () (not (tptp.aElementOf0 @t5 @t119))) % 41.99/42.27 (define @t201 () (forall @t8 (or @t200 @t199 (not (= @t149 @t157))))) % 41.99/42.27 (define @t202 () (@quantifiers_skolemize @t201 0)) % 41.99/42.27 (define @t203 () (tptp.slbdtsldtrb0 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 @t202)) @t196)) % 41.99/42.27 (define @t204 () (tptp.aElementOf0 @t35 @t203)) % 41.99/42.27 (define @t205 () (forall @t40 (= @t198 @t204))) % 41.99/42.27 (define @t206 () (tptp.aSet0 @t203)) % 41.99/42.27 (define @t207 () (and @t206 @t205)) % 41.99/42.27 (define @t208 () (tptp.slbdtsldtrb0 @t167 @t196)) % 41.99/42.27 (define @t209 () (= @t208 @t203)) % 41.99/42.27 (define @t210 () (= @t209 @t207)) % 41.99/42.27 (define @t211 () (tptp.aElementOf0 @t196 @t119)) % 41.99/42.27 (define @t212 () (not @t211)) % 41.99/42.27 (define @t213 () (tptp.aSet0 @t167)) % 41.99/42.27 (define @t214 () (not @t213)) % 41.99/42.27 (define @t215 () (or @t214 @t212 @t210)) % 41.99/42.27 (define @t216 () (forall @t184 (or @t182 @t200 @t180))) % 41.99/42.27 (define @t217 () (forall @t40 (= @t204 (and @t197 (= @t79 @t196))))) % 41.99/42.27 (define @t218 () (and @t206 @t217)) % 41.99/42.27 (define @t219 () (= @t209 @t218)) % 41.99/42.27 (define @t220 () (or @t214 @t212 @t219)) % 41.99/42.27 (define @t221 () (@list false)) % 41.99/42.27 (define @t222 () (@var "BOUND_VARIABLE_8262" $$unsorted)) % 41.99/42.27 (define @t223 () (= (tptp.aSubsetOf0 @t222 @t1) (and (tptp.aSet0 @t222) (forall @t18 (or (not (tptp.aElementOf0 @t15 @t222)) @t16))))) % 41.99/42.27 (define @t224 () (or @t182 @t223)) % 41.99/42.27 (define @t225 () (@list @t222)) % 41.99/42.27 (define @t226 () (forall @t225 @t224)) % 41.99/42.27 (define @t227 () (forall @t225 @t223)) % 41.99/42.27 (define @t228 () (@list @t5)) % 41.99/42.27 (define @t229 () (or @t182 @t227)) % 41.99/42.27 (define @t230 () (forall @t8 (= @t22 (and @t20 (forall @t18 (or (not @t17) @t16)))))) % 41.99/42.27 (define @t231 () (tptp.aElementOf0 @t15 @t119)) % 41.99/42.27 (define @t232 () (and @t213 (forall @t18 (or (not (tptp.aElementOf0 @t15 @t167)) @t231)))) % 41.99/42.27 (define @t233 () (tptp.aSubsetOf0 @t167 @t119)) % 41.99/42.27 (define @t234 () (= @t233 @t232)) % 41.99/42.27 (define @t235 () (tptp.aSet0 @t119)) % 41.99/42.27 (define @t236 () (not @t235)) % 41.99/42.27 (define @t237 () (or @t236 @t234)) % 41.99/42.27 (define @t238 () (@list false false)) % 41.99/42.27 (define @t239 () (not @t59)) % 41.99/42.27 (define @t240 () (or @t239 @t118)) % 41.99/42.27 (define @t241 () (not (= tptp.sz00 @t55))) % 41.99/42.27 (define @t242 () (and @t57 @t241)) % 41.99/42.27 (define @t243 () (or @t239 @t242)) % 41.99/42.27 (define @t244 () (@list tptp.xn)) % 41.99/42.27 (define @t245 () (tptp.aElementOf0 @t166 @t119)) % 41.99/42.27 (define @t246 () (and @t245 (not (= tptp.sz00 @t166)))) % 41.99/42.27 (define @t247 () (tptp.aElementOf0 tptp.xn @t119)) % 41.99/42.27 (define @t248 () (not @t247)) % 41.99/42.27 (define @t249 () (or @t248 @t246)) % 41.99/42.27 (define @t250 () (and @t233 (tptp.isCountable0 @t167))) % 41.99/42.27 (define @t251 () (not @t245)) % 41.99/42.27 (define @t252 () (or @t251 @t250)) % 41.99/42.27 (define @t253 () (@list false false false)) % 41.99/42.27 (define @t254 () (or @t239 @t181 @t29 @t122)) % 41.99/42.27 (define @t255 () (not @t123)) % 41.99/42.27 (define @t256 () (or @t239 @t181 @t255)) % 41.99/42.27 (define @t257 () (= @t114 @t134)) % 41.99/42.27 (define @t258 () (or @t239 @t257)) % 41.99/42.27 (define @t259 () (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN @t202))) % 41.99/42.27 (define @t260 () (tptp.sdtlpdtrp0 tptp.xe @t202)) % 41.99/42.27 (define @t261 () (tptp.aElementOf0 @t202 @t119)) % 41.99/42.27 (define @t262 () (not @t261)) % 41.99/42.27 (define @t263 () (or @t262 (= @t259 @t260))) % 41.99/42.27 (define @t264 () (forall @t3 (or (not (tptp.aElementOf0 @t1 @t119)) @t257))) % 41.99/42.27 (define @t265 () (= @t260 @t259)) % 41.99/42.27 (define @t266 () (or @t262 @t265)) % 41.99/42.27 (define @t267 () (@list @t264)) % 41.99/42.27 (define @t268 () (= @t1 @t149)) % 41.99/42.27 (define @t269 () (not @t268)) % 41.99/42.27 (define @t270 () (or @t181 @t199 @t269)) % 41.99/42.27 (define @t271 () (forall @t8 @t270)) % 41.99/42.27 (define @t272 () (not @t271)) % 41.99/42.27 (define @t273 () (not @t153)) % 41.99/42.27 (define @t274 () (or @t273 @t272)) % 41.99/42.27 (define @t275 () (and @t63 @t150 @t268)) % 41.99/42.27 (define @t276 () (forall @t8 (not @t275))) % 41.99/42.27 (define @t277 () (not @t276)) % 41.99/42.27 (define @t278 () (not (= @t157 @t149))) % 41.99/42.27 (define @t279 () (or @t200 @t199 @t278)) % 41.99/42.27 (define @t280 () (forall @t8 @t279)) % 41.99/42.27 (define @t281 () (not @t280)) % 41.99/42.27 (define @t282 () (tptp.aElementOf0 @t157 @t147)) % 41.99/42.27 (define @t283 () (not @t282)) % 41.99/42.27 (define @t284 () (or @t283 @t281)) % 41.99/42.27 (define @t285 () (forall @t3 (or (not (tptp.aElementOf0 @t1 @t147)) (not (forall @t8 (or @t200 @t199 @t269)))))) % 41.99/42.27 (define @t286 () (not @t201)) % 41.99/42.27 (define @t287 () (or @t283 @t286)) % 41.99/42.27 (define @t288 () (= @t157 @t260)) % 41.99/42.27 (define @t289 () (not @t288)) % 41.99/42.27 (define @t290 () (not (tptp.aElementOf0 @t202 @t146))) % 41.99/42.27 (define @t291 () (or @t262 @t290 @t289)) % 41.99/42.27 (define @t292 () (not @t291)) % 41.99/42.27 (define @t293 () (not (= @t260 @t157))) % 41.99/42.27 (define @t294 () (or @t262 @t290 @t293)) % 41.99/42.27 (define @t295 () (not @t294)) % 41.99/42.27 (define @t296 () (@list true)) % 41.99/42.27 (define @t297 () (@list @t291)) % 41.99/42.27 (define @t298 () (or @t248 (= @t170 @t163))) % 41.99/42.27 (define @t299 () (= @t163 @t170)) % 41.99/42.27 (define @t300 () (or @t248 @t299)) % 41.99/42.27 (define @t301 () (= @t170 @t259)) % 41.99/42.27 (define @t302 () (not @t301)) % 41.99/42.27 (define @t303 () (= tptp.xn @t202)) % 41.99/42.27 (define @t304 () (or @t248 @t262 @t303 @t302)) % 41.99/42.27 (define @t305 () (@var "BOUND_VARIABLE_9633" $$unsorted)) % 41.99/42.27 (define @t306 () (tptp.sdtlpdtrp0 @t129 @t305)) % 41.99/42.27 (define @t307 () (= @t137 @t306)) % 41.99/42.27 (define @t308 () (tptp.aElementOf0 @t305 @t133)) % 41.99/42.27 (define @t309 () (not @t308)) % 41.99/42.27 (define @t310 () (not (tptp.aSet0 @t305))) % 41.99/42.27 (define @t311 () (or @t239 @t310 @t309 @t307)) % 41.99/42.27 (define @t312 () (@list @t1 @t305)) % 41.99/42.27 (define @t313 () (= @t306 @t137)) % 41.99/42.27 (define @t314 () (or @t239 @t310 @t309 @t313)) % 41.99/42.27 (define @t315 () (or @t310 @t309 @t313)) % 41.99/42.27 (define @t316 () (or @t239 @t315)) % 41.99/42.27 (define @t317 () (forall @t312 @t316)) % 41.99/42.27 (define @t318 () (@list @t305)) % 41.99/42.27 (define @t319 () (forall @t318 @t316)) % 41.99/42.27 (define @t320 () (forall @t318 @t315)) % 41.99/42.27 (define @t321 () (or @t239 @t320)) % 41.99/42.27 (define @t322 () (= @t130 @t137)) % 41.99/42.27 (define @t323 () (not @t138)) % 41.99/42.27 (define @t324 () (not @t20)) % 41.99/42.27 (define @t325 () (or @t324 @t323 @t322)) % 41.99/42.27 (define @t326 () (forall @t8 @t325)) % 41.99/42.27 (define @t327 () (@var "BOUND_VARIABLE_8395" $$unsorted)) % 41.99/42.27 (define @t328 () (= @t1 (tptp.sdtpldt0 (tptp.sdtmndt0 @t1 @t327) @t327))) % 41.99/42.27 (define @t329 () (not (tptp.aElementOf0 @t327 @t1))) % 41.99/42.27 (define @t330 () (or @t329 @t328)) % 41.99/42.27 (define @t331 () (or @t182 @t330)) % 41.99/42.27 (define @t332 () (forall (@list @t1 @t327) @t331)) % 41.99/42.27 (define @t333 () (@list @t327)) % 41.99/42.27 (define @t334 () (forall @t333 @t331)) % 41.99/42.27 (define @t335 () (forall @t333 @t330)) % 41.99/42.27 (define @t336 () (or @t182 @t335)) % 41.99/42.27 (define @t337 () (= @t1 @t44)) % 41.99/42.27 (define @t338 () (forall @t8 (or @t71 @t337))) % 41.99/42.27 (define @t339 () (tptp.aSet0 tptp.xQ)) % 41.99/42.27 (define @t340 () (and @t339 (forall @t18 (or (not (tptp.aElementOf0 @t15 tptp.xQ)) @t231)))) % 41.99/42.27 (define @t341 () (tptp.aSubsetOf0 tptp.xQ @t119)) % 41.99/42.27 (define @t342 () (= @t341 @t340)) % 41.99/42.27 (define @t343 () (or @t236 @t342)) % 41.99/42.27 (define @t344 () (= tptp.xQ (tptp.sdtpldt0 @t158 @t157))) % 41.99/42.27 (define @t345 () (tptp.aElementOf0 @t157 tptp.xQ)) % 41.99/42.27 (define @t346 () (not @t345)) % 41.99/42.27 (define @t347 () (not @t339)) % 41.99/42.27 (define @t348 () (or @t347 @t346 @t344)) % 41.99/42.27 (define @t349 () (tptp.sdtpldt0 @t158 @t170)) % 41.99/42.27 (define @t350 () (tptp.sdtlpdtrp0 tptp.xc @t349)) % 41.99/42.27 (define @t351 () (tptp.sdtlpdtrp0 @t171 @t158)) % 41.99/42.27 (define @t352 () (= @t165 @t351)) % 41.99/42.27 (define @t353 () (tptp.aElementOf0 @t158 @t208)) % 41.99/42.27 (define @t354 () (not @t353)) % 41.99/42.27 (define @t355 () (tptp.aSet0 @t158)) % 41.99/42.27 (define @t356 () (not @t355)) % 41.99/42.27 (define @t357 () (or @t248 @t356 @t354 @t352)) % 41.99/42.27 (define @t358 () (tptp.aElementOf0 @t158 @t203)) % 41.99/42.27 (define @t359 () (not @t358)) % 41.99/42.27 (define @t360 () (not @t303)) % 41.99/42.27 (define @t361 () (and @t303 @t358 @t354)) % 41.99/42.27 (define @t362 () (@list true false)) % 41.99/42.27 (define @t363 () (tptp.aSubsetOf0 @t158 @t167)) % 41.99/42.27 (define @t364 () (= @t363 @t358)) % 41.99/42.27 (define @t365 () (not @t364)) % 41.99/42.27 (define @t366 () (and @t363 (= @t196 @t196))) % 41.99/42.27 (define @t367 () (= @t358 @t366)) % 41.99/42.27 (assume @p1 (forall @t3 (=> @t2 true))) % 41.99/42.27 (assume @p2 (forall @t3 (=> @t4 true))) % 41.99/42.27 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 41.99/42.27 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 41.99/42.27 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 41.99/42.27 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 41.99/42.27 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 41.99/42.27 (assume @p8 (forall @t3 (=> @t13 @t12))) % 41.99/42.27 (assume @p9 (forall @t3 (=> @t13 @t14))) % 41.99/42.27 (assume @p10 @t26) % 41.99/42.27 (assume @p11 (forall @t3 (=> @t28 (forall @t8 (=> @t22 @t27))))) % 41.99/42.27 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 41.99/42.27 (assume @p13 (forall @t31 (=> (and @t2 @t20) (=> (and @t30 @t22) @t29)))) % 41.99/42.27 (assume @p14 (forall @t34 (=> (and @t2 @t20 @t33) (=> (and @t30 @t32) (tptp.aSubsetOf0 @t1 @t15))))) % 41.99/42.27 (assume @p15 (forall @t31 (=> @t42 (forall @t18 (= (= @t15 @t41) (and @t33 (forall @t40 (= @t39 (and @t38 (or @t37 @t36)))))))))) % 41.99/42.27 (assume @p16 (forall @t31 (=> @t42 (forall @t18 (= (= @t15 @t43) (and @t33 (forall @t40 (= @t39 (and @t38 @t37 (not @t36)))))))))) % 41.99/42.27 (assume @p17 @t48) % 41.99/42.27 (assume @p18 (forall @t31 (=> (and @t4 @t20) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t49 @t1) @t5))))) % 41.99/42.27 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isCountable0 @t49)))))) % 41.99/42.27 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isCountable0 @t52)))))) % 41.99/42.27 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t53 (tptp.isFinite0 @t49)))))) % 41.99/42.27 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t53 (tptp.isFinite0 @t52)))))) % 41.99/42.27 (assume @p23 (and @t54 (tptp.isCountable0 tptp.szNzAzT0))) % 41.99/42.27 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 41.99/42.27 (assume @p25 @t61) % 41.99/42.27 (assume @p26 (forall @t31 (=> @t64 (=> (= @t55 @t62) @t29)))) % 41.99/42.27 (assume @p27 (forall @t3 (=> @t59 (or @t65 (exists @t8 (and @t63 (= @t1 @t62))))))) % 41.99/42.27 (assume @p28 (forall @t3 (=> @t59 (not (= @t1 @t55))))) % 41.99/42.27 (assume @p29 (forall @t31 (=> @t64 (=> @t66 true)))) % 41.99/42.27 (assume @p30 (forall @t3 (=> @t59 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 41.99/42.27 (assume @p31 (forall @t3 (=> @t59 (not (tptp.sdtlseqdt0 @t55 tptp.sz00))))) % 41.99/42.27 (assume @p32 (forall @t31 (=> @t64 (= @t66 (tptp.sdtlseqdt0 @t55 @t62))))) % 41.99/42.27 (assume @p33 (forall @t3 (=> @t59 (tptp.sdtlseqdt0 @t1 @t55)))) % 41.99/42.27 (assume @p34 (forall @t3 (=> @t59 (tptp.sdtlseqdt0 @t1 @t1)))) % 41.99/42.27 (assume @p35 (forall @t31 (=> @t64 (=> (and @t66 @t67) @t29)))) % 41.99/42.27 (assume @p36 (forall @t34 (=> (and @t59 @t63 @t69) (=> (and @t66 @t68) (tptp.sdtlseqdt0 @t1 @t15))))) % 41.99/42.27 (assume @p37 (forall @t31 (=> @t64 (or @t66 (tptp.sdtlseqdt0 @t62 @t1))))) % 41.99/42.27 (assume @p38 (forall @t31 (=> @t64 (=> (tptp.iLess0 @t1 @t5) true)))) % 41.99/42.27 (assume @p39 (forall @t3 (=> @t59 (tptp.iLess0 @t1 @t55)))) % 41.99/42.27 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t70)))) % 41.99/42.27 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t70 tptp.szNzAzT0) @t9)))) % 41.99/42.27 (assume @p42 (forall @t3 (=> @t2 (= (= @t70 tptp.sz00) @t10)))) % 41.99/42.27 (assume @p43 (forall @t3 (=> @t28 (forall @t8 (=> @t6 (=> @t71 (= (tptp.sbrdtbr0 @t41) (tptp.szszuzczcdt0 @t70)))))))) % 41.99/42.27 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t43)) @t70)))))) % 41.99/42.27 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t22) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t70)))))) % 41.99/42.27 (assume @p46 (forall @t31 (=> @t72 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t70)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5))))))) % 41.99/42.27 (assume @p47 (forall @t3 (=> (and @t74 @t14) (forall @t8 (= (= @t5 @t73) (and @t7 (forall @t18 (=> @t16 @t68)))))))) % 41.99/42.27 (assume @p48 (forall @t3 (=> (and @t74 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 41.99/42.27 (assume @p49 (forall @t31 (=> (and @t74 @t76 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t73 @t5) (tptp.aElementOf0 @t75 @t1)) (= @t73 @t75))))) % 41.99/42.27 (assume @p50 (forall @t3 (=> @t59 (forall @t8 (= (= @t5 @t77) (and @t20 (forall @t18 (= @t17 (and @t69 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 41.99/42.27 (assume @p51 (forall @t3 (=> @t59 (tptp.isFinite0 @t77)))) % 41.99/42.27 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 41.99/42.27 (assume @p53 (forall @t31 (=> @t64 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t62)) (or (tptp.aElementOf0 @t1 @t78) @t29))))) % 41.99/42.27 (assume @p54 (forall @t31 (=> @t64 (= @t66 (tptp.aSubsetOf0 @t77 @t78))))) % 41.99/42.27 (assume @p55 (forall @t3 (=> (and @t74 @t9) (exists @t8 (and @t63 (tptp.aSubsetOf0 @t1 @t78)))))) % 41.99/42.27 (assume @p56 (forall @t3 (=> @t59 (= (tptp.sbrdtbr0 @t77) @t1)))) % 41.99/42.27 (assume @p57 @t90) % 41.99/42.27 (assume @p58 (forall @t3 (=> @t28 (forall @t8 (=> @t63 (tptp.isFinite0 @t85)))))) % 41.99/42.27 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t63 (not (= @t85 tptp.slcrc0))))))) % 41.99/42.27 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t63 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t85)))))) % 41.99/42.27 (assume @p61 (forall @t3 (=> @t59 (forall (@list @t5 @t15) (=> (and @t20 @t33 (not @t65)) (=> (and (tptp.aSubsetOf0 @t91 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t91 tptp.slcrc0))) @t32)))))) % 41.99/42.27 (assume @p62 (forall @t31 (=> @t72 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t85) (tptp.isFinite0 @t15)) (exists @t40 (and @t80 (tptp.isFinite0 @t35) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t35 @t5))))))))) % 41.99/42.27 (assume @p63 (forall @t3 (=> @t92 true))) % 41.99/42.27 (assume @p64 (forall @t3 (=> @t92 (tptp.aSet0 @t93)))) % 41.99/42.27 (assume @p65 (forall @t3 (=> @t92 (forall @t8 (=> @t95 (tptp.aElement0 @t94)))))) % 41.99/42.27 (assume @p66 (forall @t31 (=> @t99 (forall @t18 (= (= @t15 @t98) (and @t33 (forall @t40 (= @t39 (and @t97 (= @t96 @t5)))))))))) % 41.99/42.27 (assume @p67 (forall @t31 (=> @t99 (tptp.aSubsetOf0 @t98 @t93)))) % 41.99/42.27 (assume @p68 (forall @t3 (=> @t92 (forall @t8 (=> @t103 (forall @t18 (= (= @t15 @t102) (and @t33 (forall @t40 (= @t39 (exists @t101 (and (tptp.aElementOf0 @t100 @t5) (= (tptp.sdtlpdtrp0 @t1 @t100) @t35))))))))))))) % 41.99/42.27 (assume @p69 (forall @t3 (=> @t92 (forall @t8 (=> @t95 (tptp.aElementOf0 @t94 @t104)))))) % 41.99/42.27 (assume @p70 (forall @t3 (=> @t92 (forall @t8 (=> @t103 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t106 (= @t105 @t5) (forall @t40 (=> (tptp.aElementOf0 @t35 @t5) (= (tptp.sdtlpdtrp0 @t15 @t35) @t96))))))))))) % 41.99/42.27 (assume @p71 (forall @t3 (=> @t92 (forall @t8 (=> (and @t103 @t50) (=> (forall (@list @t15 @t35) (=> (and (tptp.aElementOf0 @t15 @t93) @t97 (not (= @t15 @t35))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t96)))) (tptp.isCountable0 @t102))))))) % 41.99/42.27 (assume @p72 (forall @t3 (=> @t92 (=> (and (tptp.isCountable0 @t93) (tptp.isFinite0 @t104)) (and (tptp.aElement0 @t107) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t107))))))) % 41.99/42.27 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 41.99/42.27 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 41.99/42.27 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 41.99/42.27 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t108 @t109) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t108) tptp.xT))) % 41.99/42.27 (assume @p77 (forall @t3 (=> @t59 (forall @t8 (=> (and @t76 @t50) (forall @t18 (=> (and @t106 (= @t105 @t91) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t15 @t105) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t40 (and (tptp.aElementOf0 @t35 tptp.xT) (exists @t101 (and (tptp.aSubsetOf0 @t100 @t5) (tptp.isCountable0 @t100) (forall (@list @t110) (=> (tptp.aElementOf0 @t110 (tptp.slbdtsldtrb0 @t100 @t1)) (= (tptp.sdtlpdtrp0 @t15 @t110) @t35))))))))))))))) % 41.99/42.27 (assume @p78 (not (= tptp.xK tptp.sz00))) % 41.99/42.27 (assume @p79 (and @t111 (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 41.99/42.27 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t119 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t59 (=> @t118 (and (tptp.aSubsetOf0 @t112 @t115) (tptp.isCountable0 @t112))))))) % 41.99/42.27 (assume @p81 @t120) % 41.99/42.27 (assume @p82 (forall @t31 (=> @t64 (=> @t67 (tptp.aSubsetOf0 @t113 @t121))))) % 41.99/42.27 (assume @p83 @t125) % 41.99/42.27 (assume @p84 (forall @t3 (=> @t59 (forall @t8 (=> @t128 (tptp.aElementOf0 @t126 @t109)))))) % 41.99/42.27 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t59 (and (tptp.aFunction0 @t129) (= @t131 @t127) (forall @t8 (=> @t128 (= @t130 (tptp.sdtlpdtrp0 tptp.xc @t126))))))))) % 41.99/42.27 (assume @p86 (forall @t3 (=> @t59 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t129 @t131) tptp.xT)))) % 41.99/42.27 (assume @p87 (forall @t3 (=> @t59 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t115) @t50) (forall @t18 (=> (and @t33 (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t15 @t127)))))))) % 41.99/42.27 (assume @p88 (forall @t3 (=> @t59 (exists @t8 (and @t132 (exists @t18 (and (tptp.aSubsetOf0 @t15 @t115) (tptp.isCountable0 @t15) (forall @t40 (=> (and (tptp.aSet0 @t35) (tptp.aElementOf0 @t35 (tptp.slbdtsldtrb0 @t15 tptp.xk))) (= (tptp.sdtlpdtrp0 @t129 @t35) @t5)))))))))) % 41.99/42.27 (assume @p89 (forall @t3 (=> @t59 (exists @t8 (and @t132 (forall @t18 (=> (and @t33 (tptp.aElementOf0 @t15 @t133)) (= (tptp.sdtlpdtrp0 @t129 @t15) @t5)))))))) % 41.99/42.27 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) @t136)) % 41.99/42.27 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t144 tptp.szNzAzT0) @t143)) % 41.99/42.27 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t144) tptp.xT)) % 41.99/42.27 (assume @p93 (and (tptp.aElementOf0 @t145 tptp.xT) (tptp.isCountable0 @t146))) % 41.99/42.27 (assume @p94 (and @t148 (= tptp.xO @t147))) % 41.99/42.27 (assume @p95 (and @t148 (tptp.isCountable0 tptp.xO))) % 41.99/42.27 (assume @p96 @t155) % 41.99/42.27 (assume @p97 (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 41.99/42.27 (assume @p98 (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK))) % 41.99/42.27 (assume @p99 (and (tptp.aSubsetOf0 tptp.xQ tptp.xO) (not (= tptp.xQ tptp.slcrc0)))) % 41.99/42.27 (assume @p100 @t156) % 41.99/42.27 (assume @p101 (tptp.aElementOf0 tptp.xQ @t108)) % 41.99/42.27 (assume @p102 (= tptp.xp @t157)) % 41.99/42.27 (assume @p103 (and @t159 (= tptp.xP @t158))) % 41.99/42.27 (assume @p104 @t160) % 41.99/42.27 (assume @p105 @t161) % 41.99/42.27 (assume @p106 (tptp.aSubsetOf0 tptp.xP tptp.xQ)) % 41.99/42.27 (assume @p107 (tptp.aSubsetOf0 tptp.xP tptp.xO)) % 41.99/42.27 (assume @p108 (= @t162 tptp.xk)) % 41.99/42.27 (assume @p109 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk))) % 41.99/42.27 (assume @p110 (and (tptp.aElementOf0 tptp.xn @t146) @t164 (= @t163 tptp.xp))) % 41.99/42.27 (assume @p111 (= @t165 @t145)) % 41.99/42.27 (assume @p112 @t168) % 41.99/42.27 (assume @p113 (= tptp.xD (tptp.sdtmndt0 @t169 @t170))) % 41.99/42.27 (assume @p114 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xD tptp.xk))) % 41.99/42.27 (assume @p115 @t175) % 41.99/42.27 (assume @p116 (not (= (tptp.sdtlpdtrp0 tptp.xc tptp.xQ) @t165))) % 41.99/42.27 (assume @p117 true) % 41.99/42.27 (step @p118 :rule refl :args (@t180)) % 41.99/42.27 (step @p119 :rule and_elim :premises (@p80) :args (1)) % 41.99/42.27 (step @p120 :rule symm :premises (@p119)) % 41.99/42.27 (step @p121 :rule refl :args (@t5)) % 41.99/42.27 (step @p122 :rule cong :premises (@p121 @p120) :args (@t63)) % 41.99/42.27 (step @p123 :rule cong :premises (@p122) :args (@t181)) % 41.99/42.27 (step @p124 :rule refl :args (@t182)) % 41.99/42.27 (step @p125 :rule nary_cong :premises (@p124 @p123 @p118) :args (@t183)) % 41.99/42.27 (step @p126 :rule cong :premises (@p125) :args ((forall @t184 @t183))) % 41.99/42.27 (step @p127 :rule eq-symm :args (@t177 @t178)) % 41.99/42.27 (step @p128 :rule cong :premises (@p127) :args (@t185)) % 41.99/42.27 (step @p129 :rule refl :args (@t179)) % 41.99/42.27 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t186)) % 41.99/42.27 (step @p131 :rule eq-symm :args (@t176 @t85)) % 41.99/42.27 (step @p132 :rule cong :premises (@p131 @p130) :args (@t187)) % 41.99/42.27 (step @p133 :rule refl :args (@t181)) % 41.99/42.27 (step @p134 :rule nary_cong :premises (@p124 @p133 @p132) :args (@t188)) % 41.99/42.27 (step @p135 :rule cong :premises (@p134) :args (@t189)) % 41.99/42.27 (step @p136 :rule quant-merge-prenex :args ((= (forall @t31 @t191) @t189))) % 41.99/42.27 (step @p137 :rule alpha_equiv :args (@t192 (@list @t176) (@list @t15))) % 41.99/42.27 (step @p138 :rule refl :args (@t181)) % 41.99/42.27 (step @p139 :rule refl :args (@t182)) % 41.99/42.27 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args (@t193)) % 41.99/42.27 (step @p141 :rule quant-miniscope-or :args ((= @t191 @t193))) % 41.99/42.27 (step @p142 :rule trans :premises (@p141 @p140)) % 41.99/42.27 (step @p143 :rule symm :premises (@p142)) % 41.99/42.27 (step @p144 :rule cong :premises (@p143) :args ((forall @t31 @t195))) % 41.99/42.27 (step @p145 :rule trans :premises (@p144 @p136)) % 41.99/42.27 (step @p146 :rule trans :premises (@p145 @p135)) % 41.99/42.27 (step @p147 :rule aci_norm :args ((= (or (or @t182 @t181) @t194) @t195))) % 41.99/42.27 (step @p148 :rule refl :args (@t194)) % 41.99/42.27 (step @p149 :rule bool-and-de-morgan :args (@t2 @t63 true)) % 41.99/42.27 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t72) @t194))) % 41.99/42.27 (step @p151 :rule trans :premises (@p150 @p147)) % 41.99/42.27 (step @p152 :rule bool-impl-elim :args (@t72 @t194)) % 41.99/42.27 (step @p153 :rule trans :premises (@p152 @p151)) % 41.99/42.27 (step @p154 :rule cong :premises (@p153) :args ((forall @t31 (=> @t72 @t194)))) % 41.99/42.27 (step @p155 :rule trans :premises (@p154 @p146)) % 41.99/42.27 (step @p156 :rule eq-symm :args (@t79 @t5)) % 41.99/42.27 (step @p157 :rule refl :args (@t80)) % 41.99/42.27 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t81)) % 41.99/42.27 (step @p159 :rule refl :args (@t39)) % 41.99/42.27 (step @p160 :rule cong :premises (@p159 @p158) :args (@t82)) % 41.99/42.27 (step @p161 :rule cong :premises (@p160) :args (@t83)) % 41.99/42.27 (step @p162 :rule refl :args (@t33)) % 41.99/42.27 (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t84)) % 41.99/42.27 (step @p164 :rule refl :args (@t86)) % 41.99/42.27 (step @p165 :rule cong :premises (@p164 @p163) :args (@t87)) % 41.99/42.27 (step @p166 :rule cong :premises (@p165) :args (@t88)) % 41.99/42.27 (step @p167 :rule refl :args (@t72)) % 41.99/42.27 (step @p168 :rule cong :premises (@p167 @p166) :args (@t89)) % 41.99/42.27 (step @p169 :rule cong :premises (@p168) :args (@t90)) % 41.99/42.27 (step @p170 :rule trans :premises (@p169 @p155)) % 41.99/42.27 (step @p171 :rule trans :premises (@p170 @p126)) % 41.99/42.27 (step @p172 :rule eq_resolve :premises (@p57 @p171)) % 41.99/42.27 (step @p173 :rule eq-symm :args (@t196 @t79)) % 41.99/42.27 (step @p174 :rule refl :args (@t197)) % 41.99/42.27 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t198)) % 41.99/42.27 (step @p176 :rule refl :args (@t204)) % 41.99/42.27 (step @p177 :rule cong :premises (@p176 @p175) :args ((= @t204 @t198))) % 41.99/42.27 (step @p178 :rule eq-symm :args (@t198 @t204)) % 41.99/42.27 (step @p179 :rule trans :premises (@p178 @p177)) % 41.99/42.27 (step @p180 :rule cong :premises (@p179) :args (@t205)) % 41.99/42.27 (step @p181 :rule refl :args (@t206)) % 41.99/42.27 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t207)) % 41.99/42.27 (step @p183 :rule refl :args (@t209)) % 41.99/42.27 (step @p184 :rule cong :premises (@p183 @p182) :args (@t210)) % 41.99/42.27 (step @p185 :rule refl :args (@t212)) % 41.99/42.27 (step @p186 :rule refl :args (@t214)) % 41.99/42.27 (step @p187 :rule nary_cong :premises (@p186 @p185 @p184) :args (@t215)) % 41.99/42.27 (step @p188 :rule refl :args (@t216)) % 41.99/42.27 (step @p189 :rule cong :premises (@p188 @p187) :args ((=> @t216 @t215))) % 41.99/42.27 (assume-push @p645 @t216) % 41.99/42.27 (step @p191 :rule instantiate :premises (@p172) :args ((@list @t167 @t196 @t203))) % 41.99/42.27 (step-pop @p646 :rule scope :premises (@p191)) % 41.99/42.27 (step @p192 :rule process_scope :premises (@p646) :args (@t215)) % 41.99/42.27 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 41.99/42.27 (step @p195 :rule implies_elim :premises (@p194)) % 41.99/42.27 (step @p196 :rule chain_m_resolution :premises (@p195 @p172) :args (@t220 @t221 (@list @t216))) % 41.99/42.27 (step @p197 :rule quant-merge-prenex :args ((= (forall @t3 @t226) (forall (@list @t1 @t222) @t224)))) % 41.99/42.27 (step @p198 :rule alpha_equiv :args (@t227 (@list @t222) @t228)) % 41.99/42.27 (step @p199 :rule nary_cong :premises (@p139 @p198) :args (@t229)) % 41.99/42.27 (step @p200 :rule quant-miniscope-or :args ((= @t226 @t229))) % 41.99/42.27 (step @p201 :rule trans :premises (@p200 @p199)) % 41.99/42.27 (step @p202 :rule symm :premises (@p201)) % 41.99/42.27 (step @p203 :rule cong :premises (@p202) :args ((forall @t3 (or @t182 @t230)))) % 41.99/42.27 (step @p204 :rule trans :premises (@p203 @p197)) % 41.99/42.27 (step @p205 :rule bool-impl-elim :args (@t2 @t230)) % 41.99/42.27 (step @p206 :rule cong :premises (@p205) :args ((forall @t3 (=> @t2 @t230)))) % 41.99/42.27 (step @p207 :rule trans :premises (@p206 @p204)) % 41.99/42.27 (step @p208 :rule bool-impl-elim :args (@t17 @t16)) % 41.99/42.27 (step @p209 :rule cong :premises (@p208) :args (@t19)) % 41.99/42.27 (step @p210 :rule refl :args (@t20)) % 41.99/42.27 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t21)) % 41.99/42.27 (step @p212 :rule refl :args (@t22)) % 41.99/42.27 (step @p213 :rule cong :premises (@p212 @p211) :args (@t23)) % 41.99/42.27 (step @p214 :rule cong :premises (@p213) :args (@t24)) % 41.99/42.27 (step @p215 :rule refl :args (@t2)) % 41.99/42.27 (step @p216 :rule cong :premises (@p215 @p214) :args (@t25)) % 41.99/42.27 (step @p217 :rule cong :premises (@p216) :args (@t26)) % 41.99/42.27 (step @p218 :rule trans :premises (@p217 @p207)) % 41.99/42.27 (step @p219 :rule eq_resolve :premises (@p10 @p218)) % 41.99/42.27 (step @p220 :rule instantiate :premises (@p219) :args ((@list @t119 @t167))) % 41.99/42.27 (step @p221 :rule cong :premises (@p120) :args (@t54)) % 41.99/42.27 (step @p222 :rule and_elim :premises (@p23) :args (0)) % 41.99/42.27 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 41.99/42.27 (step @p224 :rule cnf_or_pos :args (@t237)) % 41.99/42.27 (step @p225 :rule reordering :premises (@p224) :args ((or @t236 @t234 (not @t237)))) % 41.99/42.27 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p220) :args (@t234 @t238 (@list @t235 @t237))) % 41.99/42.27 (step @p227 :rule refl :args (@t116)) % 41.99/42.27 (step @p228 :rule refl :args (@t113)) % 41.99/42.27 (step @p229 :rule cong :premises (@p228 @p120) :args (@t117)) % 41.99/42.27 (step @p230 :rule nary_cong :premises (@p229 @p227) :args (@t118)) % 41.99/42.27 (step @p231 :rule refl :args (@t1)) % 41.99/42.27 (step @p232 :rule cong :premises (@p231 @p120) :args (@t59)) % 41.99/42.27 (step @p233 :rule cong :premises (@p232) :args (@t239)) % 41.99/42.27 (step @p234 :rule nary_cong :premises (@p233 @p230) :args (@t240)) % 41.99/42.27 (step @p235 :rule cong :premises (@p234) :args ((forall @t3 @t240))) % 41.99/42.27 (step @p236 :rule bool-impl-elim :args (@t59 @t118)) % 41.99/42.27 (step @p237 :rule cong :premises (@p236) :args (@t120)) % 41.99/42.27 (step @p238 :rule trans :premises (@p237 @p235)) % 41.99/42.27 (step @p239 :rule eq_resolve :premises (@p81 @p238)) % 41.99/42.27 (step @p240 :rule instantiate :premises (@p239) :args ((@list @t166))) % 41.99/42.27 (step @p241 :rule refl :args (@t241)) % 41.99/42.27 (step @p242 :rule refl :args (@t55)) % 41.99/42.27 (step @p243 :rule cong :premises (@p242 @p120) :args (@t57)) % 41.99/42.27 (step @p244 :rule nary_cong :premises (@p243 @p241) :args (@t242)) % 41.99/42.27 (step @p245 :rule nary_cong :premises (@p233 @p244) :args (@t243)) % 41.99/42.27 (step 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41.99/42.27 (step @p474 :rule cong :premises (@p473) :args (@t309)) % 41.99/42.27 (step @p475 :rule refl :args (@t310)) % 41.99/42.27 (step @p476 :rule nary_cong :premises (@p233 @p475 @p474 @p469) :args (@t311)) % 41.99/42.27 (step @p477 :rule cong :premises (@p476) :args ((forall @t312 @t311))) % 41.99/42.27 (step @p478 :rule eq-symm :args (@t306 @t137)) % 41.99/42.27 (step @p479 :rule refl :args (@t309)) % 41.99/42.27 (step @p480 :rule refl :args (@t239)) % 41.99/42.27 (step @p481 :rule nary_cong :premises (@p480 @p475 @p479 @p478) :args (@t314)) % 41.99/42.27 (step @p482 :rule aci_norm :args ((= @t316 @t314))) % 41.99/42.27 (step @p483 :rule trans :premises (@p482 @p481)) % 41.99/42.27 (step @p484 :rule cong :premises (@p483) :args (@t317)) % 41.99/42.27 (step @p485 :rule quant-merge-prenex :args ((= (forall @t3 @t319) @t317))) % 41.99/42.27 (step @p486 :rule alpha_equiv :args (@t320 (@list @t305) @t228)) % 41.99/42.27 (step @p487 :rule nary_cong :premises (@p302 @p486) :args (@t321)) % 41.99/42.27 (step @p488 :rule quant-miniscope-or :args ((= @t319 @t321))) % 41.99/42.27 (step @p489 :rule trans :premises (@p488 @p487)) % 41.99/42.27 (step @p490 :rule symm :premises (@p489)) % 41.99/42.27 (step @p491 :rule cong :premises (@p490) :args ((forall @t3 (or @t239 @t326)))) % 41.99/42.27 (step @p492 :rule trans :premises (@p491 @p485)) % 41.99/42.27 (step @p493 :rule trans :premises (@p492 @p484)) % 41.99/42.27 (step @p494 :rule bool-impl-elim :args (@t59 @t326)) % 41.99/42.27 (step @p495 :rule cong :premises (@p494) :args ((forall @t3 (=> @t59 @t326)))) % 41.99/42.27 (step @p496 :rule trans :premises (@p495 @p493)) % 41.99/42.27 (step @p497 :rule aci_norm :args ((= (or (or @t324 @t323) @t322) @t325))) % 41.99/42.27 (step @p498 :rule refl :args (@t322)) % 41.99/42.27 (step @p499 :rule bool-and-de-morgan :args (@t20 @t138 true)) % 41.99/42.27 (step @p500 :rule nary_cong :premises (@p499 @p498) :args ((or (not @t139) @t322))) % 41.99/42.27 (step @p501 :rule trans :premises (@p500 @p497)) % 41.99/42.27 (step @p502 :rule bool-impl-elim :args (@t139 @t322)) % 41.99/42.27 (step @p503 :rule trans :premises (@p502 @p501)) % 41.99/42.27 (step @p504 :rule cong :premises (@p503) :args ((forall @t8 (=> @t139 @t322)))) % 41.99/42.27 (step @p505 :rule eq-symm :args (@t137 @t130)) % 41.99/42.27 (step @p506 :rule refl :args (@t139)) % 41.99/42.27 (step @p507 :rule cong :premises (@p506 @p505) :args (@t140)) % 41.99/42.27 (step @p508 :rule cong :premises (@p507) :args (@t141)) % 41.99/42.27 (step @p509 :rule trans :premises (@p508 @p504)) % 41.99/42.27 (step @p510 :rule cong :premises (@p253 @p509) :args (@t142)) % 41.99/42.27 (step @p511 :rule cong :premises (@p510) :args (@t143)) % 41.99/42.27 (step @p512 :rule trans :premises (@p511 @p496)) % 41.99/42.27 (step @p513 :rule trans :premises (@p512 @p477)) % 41.99/42.27 (step @p514 :rule and_elim :premises (@p91) :args (2)) % 41.99/42.27 (step @p515 :rule eq_resolve :premises (@p514 @p513)) % 41.99/42.27 (step @p516 :rule instantiate :premises (@p515) :args ((@list tptp.xn @t158))) % 41.99/42.27 (step @p517 :rule symm :premises (@p116)) % 41.99/42.27 (step @p518 :rule false_intro :premises (@p517)) % 41.99/42.27 (step @p519 :rule aci_norm :args ((= @t331 (or @t182 @t329 @t328)))) % 41.99/42.27 (step @p520 :rule cong :premises (@p519) :args (@t332)) % 41.99/42.27 (step @p521 :rule quant-merge-prenex :args ((= (forall @t3 @t334) @t332))) % 41.99/42.27 (step @p522 :rule alpha_equiv :args (@t335 (@list @t327) @t228)) % 41.99/42.27 (step @p523 :rule nary_cong :premises (@p139 @p522) :args (@t336)) % 41.99/42.27 (step @p524 :rule quant-miniscope-or :args ((= @t334 @t336))) % 41.99/42.27 (step @p525 :rule trans :premises (@p524 @p523)) % 41.99/42.27 (step @p526 :rule symm :premises (@p525)) % 41.99/42.27 (step @p527 :rule cong :premises (@p526) :args ((forall @t3 (or @t182 @t338)))) % 41.99/42.27 (step @p528 :rule trans :premises (@p527 @p521)) % 41.99/42.27 (step @p529 :rule trans :premises (@p528 @p520)) % 41.99/42.27 (step @p530 :rule bool-impl-elim :args (@t2 @t338)) % 41.99/42.27 (step @p531 :rule cong :premises (@p530) :args ((forall @t3 (=> @t2 @t338)))) % 41.99/42.27 (step @p532 :rule trans :premises (@p531 @p529)) % 41.99/42.27 (step @p533 :rule bool-impl-elim :args (@t7 @t337)) % 41.99/42.27 (step @p534 :rule cong :premises (@p533) :args ((forall @t8 (=> @t7 @t337)))) % 41.99/42.27 (step @p535 :rule eq-symm :args (@t44 @t1)) % 41.99/42.27 (step @p536 :rule refl :args (@t7)) % 41.99/42.27 (step @p537 :rule cong :premises (@p536 @p535) :args (@t45)) % 41.99/42.27 (step @p538 :rule cong :premises (@p537) :args (@t46)) % 41.99/42.27 (step @p539 :rule trans :premises (@p538 @p534)) % 41.99/42.27 (step @p540 :rule cong :premises (@p215 @p539) :args (@t47)) % 41.99/42.27 (step @p541 :rule cong :premises (@p540) :args (@t48)) % 41.99/42.27 (step @p542 :rule trans :premises (@p541 @p532)) % 41.99/42.27 (step @p543 :rule eq_resolve :premises (@p17 @p542)) % 41.99/42.27 (step @p544 :rule instantiate :premises (@p543) :args ((@list tptp.xQ @t157))) % 41.99/42.27 (step @p545 :rule instantiate :premises (@p219) :args ((@list @t119 tptp.xQ))) % 41.99/42.27 (step @p546 :rule cnf_or_pos :args (@t343)) % 41.99/42.27 (step @p547 :rule reordering :premises (@p546) :args ((or @t236 @t342 (not @t343)))) % 41.99/42.27 (step @p548 :rule chain_m_resolution :premises (@p547 @p223 @p545) :args (@t342 @t238 (@list @t235 @t343))) % 41.99/42.27 (step @p549 :rule refl :args (tptp.xQ)) % 41.99/42.27 (step @p550 :rule cong :premises (@p549 @p120) :args (@t156)) % 41.99/42.27 (step @p551 :rule eq_resolve :premises (@p100 @p550)) % 41.99/42.27 (step @p552 :rule cnf_equiv_pos1 :args (@t342)) % 41.99/42.27 (step @p553 :rule reordering :premises (@p552) :args ((or (not @t341) @t340 (not @t342)))) % 41.99/42.27 (step @p554 :rule chain_m_resolution :premises (@p553 @p551 @p548) :args (@t340 @t238 (@list @t341 @t342))) % 41.99/42.27 (step @p555 :rule cnf_and_pos :args (@t340 0)) % 41.99/42.27 (step @p556 :rule reordering :premises (@p555) :args ((or @t339 (not @t340)))) % 41.99/42.27 (step @p557 :rule chain_m_resolution :premises (@p556 @p554) :args (@t339 @t221 (@list @t340))) % 41.99/42.27 (step @p558 :rule cong :premises (@p102 @p549) :args (@t160)) % 41.99/42.27 (step @p559 :rule eq_resolve :premises (@p104 @p558)) % 41.99/42.27 (step @p560 :rule cnf_or_pos :args (@t348)) % 41.99/42.27 (step @p561 :rule reordering :premises (@p560) :args ((or @t346 @t347 @t344 (not @t348)))) % 41.99/42.27 (step @p562 :rule chain_m_resolution :premises (@p561 @p559 @p557 @p544) :args (@t344 @t253 (@list @t345 @t339 @t348))) % 41.99/42.27 (step @p563 :rule symm :premises (@p562)) % 41.99/42.27 (step @p564 :rule trans :premises (@p454 @p439)) % 41.99/42.27 (step @p565 :rule refl :args (@t158)) % 41.99/42.27 (step @p566 :rule cong :premises (@p565 @p564) :args (@t349)) % 41.99/42.27 (step @p567 :rule trans :premises (@p566 @p563)) % 41.99/42.27 (step @p568 :rule refl :args (tptp.xc)) % 41.99/42.27 (step @p569 :rule cong :premises (@p568 @p567) :args (@t350)) % 41.99/42.27 (step @p570 :rule eq-symm :args (@t350 @t351)) % 41.99/42.27 (step @p571 :rule refl :args (@t171)) % 41.99/42.27 (step @p572 :rule cong :premises (@p571 @p282) :args (@t172)) % 41.99/42.27 (step @p573 :rule refl :args (@t170)) % 41.99/42.27 (step @p574 :rule cong :premises (@p282 @p573) :args (@t173)) % 41.99/42.27 (step @p575 :rule cong :premises (@p568 @p574) :args (@t174)) % 41.99/42.27 (step @p576 :rule cong :premises (@p575 @p572) :args (@t175)) % 41.99/42.27 (step @p577 :rule trans :premises (@p576 @p570)) % 41.99/42.27 (step @p578 :rule eq_resolve :premises (@p115 @p577)) % 41.99/42.27 (step @p579 :rule trans :premises (@p578 @p569)) % 41.99/42.27 (step @p580 :rule refl :args (@t165)) % 41.99/42.27 (step @p581 :rule cong :premises (@p580 @p579) :args (@t352)) % 41.99/42.27 (step @p582 :rule trans :premises (@p581 @p518)) % 41.99/42.27 (step @p583 :rule false_elim :premises (@p582)) % 41.99/42.27 (step @p584 :rule cong :premises (@p282) :args (@t159)) % 41.99/42.27 (step @p585 :rule and_elim :premises (@p103) :args (0)) % 41.99/42.27 (step @p586 :rule eq_resolve :premises (@p585 @p584)) % 41.99/42.27 (step @p587 :rule cnf_or_pos :args (@t357)) % 41.99/42.27 (step @p588 :rule reordering :premises (@p587) :args ((or @t356 @t248 @t354 @t352 (not @t357)))) % 41.99/42.27 (step @p589 :rule chain_m_resolution :premises (@p588 @p586 @p263 @p583 @p516) :args (@t354 (@list false false true false) (@list @t355 @t247 @t352 @t357))) % 41.99/42.27 (step @p590 :rule refl :args (@t359)) % 41.99/42.27 (step @p591 :rule refl :args (@t360)) % 41.99/42.27 (step @p592 :rule bool-double-not-elim :args (@t353)) % 41.99/42.27 (step @p593 :rule nary_cong :premises (@p592 @p591 @p590) :args ((or (not @t354) @t360 @t359))) % 41.99/42.27 (assume-push @p655 @t303) % 41.99/42.27 (assume-push @p656 @t358) % 41.99/42.27 (assume-push @p657 @t354) % 41.99/42.27 (step @p597 :rule evaluate :args ((= false true))) % 41.99/42.27 (step @p598 :rule true_intro :premises (@p656)) % 41.99/42.27 (step @p599 :rule cong :premises (@p565 @p462) :args (@t353)) % 41.99/42.27 (step @p600 :rule false_intro :premises (@p589)) % 41.99/42.27 (step @p601 :rule symm :premises (@p600)) % 41.99/42.27 (step @p602 :rule trans :premises (@p601 @p599 @p598)) % 41.99/42.27 (step @p603 false :rule eq_resolve :premises (@p602 @p597)) % 41.99/42.27 (step-pop @p658 :rule scope :premises (@p603)) % 41.99/42.27 (step-pop @p659 :rule scope :premises (@p658)) % 41.99/42.27 (step-pop @p660 :rule scope :premises (@p659)) % 41.99/42.27 (step @p604 :rule process_scope :premises (@p660) :args (false)) % 41.99/42.27 (assume-push @p661 @t354) % 41.99/42.27 (assume-push @p662 @t303) % 41.99/42.27 (assume-push @p663 @t358) % 41.99/42.27 (step @p611 :rule and_intro :premises (@p458 @p663 @p589)) % 41.99/42.27 (step-pop @p664 :rule scope :premises (@p611)) % 41.99/42.27 (step-pop @p665 :rule scope :premises (@p664)) % 41.99/42.27 (step-pop @p666 :rule scope :premises (@p665)) % 41.99/42.27 (step @p612 :rule process_scope :premises (@p666) :args (@t361)) % 41.99/42.27 (step @p616 :rule implies_elim :premises (@p612)) % 41.99/42.27 (step @p617 :rule resolution :premises (@p616 @p604) :args (true @t361)) % 41.99/42.27 (step @p618 :rule not_and :premises (@p617)) % 41.99/42.27 (step @p619 :rule eq_resolve :premises (@p618 @p593)) % 41.99/42.27 (step @p620 :rule chain_m_resolution :premises (@p619 @p589 @p458) :args (@t359 @t362 (@list @t353 @t303))) % 41.99/42.27 (step @p621 :rule refl :args (@t167)) % 41.99/42.27 (step @p622 :rule cong :premises (@p282 @p621) :args (@t168)) % 41.99/42.28 (step @p623 :rule eq_resolve :premises (@p112 @p622)) % 41.99/42.28 (step @p624 :rule cnf_equiv_pos1 :args (@t364)) % 41.99/42.28 (step @p625 :rule reordering :premises (@p624) :args ((or (not @t363) @t358 @t365))) % 41.99/42.28 (step @p626 :rule chain_m_resolution :premises (@p625 @p623 @p620) :args (@t365 (@list false true) (@list @t363 @t358))) % 41.99/42.28 (step @p627 :rule eq-symm :args (@t358 @t363)) % 41.99/42.28 (step @p628 :rule aci_norm :args ((= (and @t363 true) @t363))) % 41.99/42.28 (step @p629 :rule eq-refl :args (@t196)) % 41.99/42.28 (step @p630 :rule refl :args (@t363)) % 41.99/42.28 (step @p631 :rule nary_cong :premises (@p630 @p629) :args (@t366)) % 41.99/42.28 (step @p632 :rule trans :premises (@p631 @p628)) % 41.99/42.28 (step @p633 :rule refl :args (@t358)) % 41.99/42.28 (step @p634 :rule cong :premises (@p633 @p632) :args (@t367)) % 41.99/42.28 (step @p635 :rule trans :premises (@p634 @p627)) % 41.99/42.28 (step @p636 :rule refl :args (@t217)) % 41.99/42.28 (step @p637 :rule cong :premises (@p636 @p635) :args ((=> @t217 @t367))) % 41.99/42.28 (assume-push @p667 @t217) % 41.99/42.28 (step @p639 :rule instantiate :premises (@p468) :args ((@list @t158))) % 41.99/42.28 (step-pop @p668 :rule scope :premises (@p639)) % 41.99/42.28 (step @p640 :rule process_scope :premises (@p668) :args (@t367)) % 41.99/42.28 (step @p642 :rule eq_resolve :premises (@p640 @p637)) % 41.99/42.28 (step @p643 :rule implies_elim :premises (@p642)) % 41.99/42.28 (step @p644 false :rule chain_m_resolution :premises (@p643 @p626 @p468) :args (false @t362 (@list @t364 @t217))) % 41.99/42.28 ) % 41.99/42.28 % SZS output end Proof % 41.99/42.28 % cvc5 exiting %------------------------------------------------------------------------------