%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM625+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 : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:40:03 AM UTC 2026 % Result : Theorem 34.55s 34.74s % Output : Proof 34.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM625+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 % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:38:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 34.55/34.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.55/34.74 --- Run --no-e-matching --full-saturate-quant at 6... % 34.55/34.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.55/34.74 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.55/34.74 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.55/34.74 % SZS status Theorem % 34.55/34.74 % SZS output start Proof % 34.55/34.74 ( % 34.55/34.74 (declare-sort $$unsorted 0) % 34.55/34.74 (declare-const tptp.xx $$unsorted) % 34.55/34.74 (declare-const tptp.xn $$unsorted) % 34.55/34.74 (declare-const tptp.xp $$unsorted) % 34.55/34.74 (declare-const tptp.xQ $$unsorted) % 34.55/34.74 (declare-const tptp.xe $$unsorted) % 34.55/34.74 (declare-const tptp.xP $$unsorted) % 34.55/34.74 (declare-const tptp.xC $$unsorted) % 34.55/34.74 (declare-const tptp.xN $$unsorted) % 34.55/34.74 (declare-const tptp.sz00 $$unsorted) % 34.55/34.74 (declare-const tptp.xc $$unsorted) % 34.55/34.74 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 34.55/34.74 (declare-const tptp.szNzAzT0 $$unsorted) % 34.55/34.74 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 34.55/34.74 (declare-const tptp.xd $$unsorted) % 34.55/34.74 (declare-const tptp.xk $$unsorted) % 34.55/34.74 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 34.55/34.74 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 34.55/34.74 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 34.55/34.74 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 34.55/34.74 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 34.55/34.74 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 34.55/34.74 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 34.55/34.74 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.xm $$unsorted) % 34.55/34.74 (declare-const tptp.xK $$unsorted) % 34.55/34.74 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.xT $$unsorted) % 34.55/34.74 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.xO $$unsorted) % 34.55/34.74 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.xS $$unsorted) % 34.55/34.74 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.slcrc0 $$unsorted) % 34.55/34.74 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 34.55/34.74 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 34.55/34.74 (define @t1 () (@var "W0" $$unsorted)) % 34.55/34.74 (define @t2 () (tptp.aSet0 @t1)) % 34.55/34.74 (define @t3 () (@list @t1)) % 34.55/34.74 (define @t4 () (tptp.aElement0 @t1)) % 34.55/34.74 (define @t5 () (@var "W1" $$unsorted)) % 34.55/34.74 (define @t6 () (tptp.aElement0 @t5)) % 34.55/34.74 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 34.55/34.74 (define @t8 () (@list @t5)) % 34.55/34.74 (define @t9 () (forall @t8 (=> @t7 @t6))) % 34.55/34.74 (define @t10 () (=> @t2 @t9)) % 34.55/34.74 (define @t11 () (forall @t3 @t10)) % 34.55/34.74 (define @t12 () (tptp.isFinite0 @t1)) % 34.55/34.74 (define @t13 () (= @t1 tptp.slcrc0)) % 34.55/34.74 (define @t14 () (tptp.isCountable0 @t1)) % 34.55/34.74 (define @t15 () (not @t12)) % 34.55/34.74 (define @t16 () (and @t2 @t14)) % 34.55/34.74 (define @t17 () (not @t13)) % 34.55/34.74 (define @t18 () (@var "W2" $$unsorted)) % 34.55/34.74 (define @t19 () (tptp.aElementOf0 @t18 @t1)) % 34.55/34.74 (define @t20 () (tptp.aElementOf0 @t18 @t5)) % 34.55/34.74 (define @t21 () (@list @t18)) % 34.55/34.74 (define @t22 () (forall @t21 (=> @t20 @t19))) % 34.55/34.74 (define @t23 () (tptp.aSet0 @t5)) % 34.55/34.74 (define @t24 () (and @t23 @t22)) % 34.55/34.74 (define @t25 () (tptp.aSubsetOf0 @t5 @t1)) % 34.55/34.74 (define @t26 () (= @t25 @t24)) % 34.55/34.74 (define @t27 () (forall @t8 @t26)) % 34.55/34.74 (define @t28 () (=> @t2 @t27)) % 34.55/34.74 (define @t29 () (forall @t3 @t28)) % 34.55/34.74 (define @t30 () (tptp.isFinite0 @t5)) % 34.55/34.74 (define @t31 () (and @t2 @t12)) % 34.55/34.74 (define @t32 () (= @t1 @t5)) % 34.55/34.74 (define @t33 () (tptp.aSubsetOf0 @t1 @t5)) % 34.55/34.74 (define @t34 () (@list @t1 @t5)) % 34.55/34.74 (define @t35 () (tptp.aSubsetOf0 @t5 @t18)) % 34.55/34.74 (define @t36 () (tptp.aSet0 @t18)) % 34.55/34.74 (define @t37 () (@list @t1 @t5 @t18)) % 34.55/34.74 (define @t38 () (@var "W3" $$unsorted)) % 34.55/34.74 (define @t39 () (= @t38 @t5)) % 34.55/34.74 (define @t40 () (tptp.aElementOf0 @t38 @t1)) % 34.55/34.74 (define @t41 () (tptp.aElement0 @t38)) % 34.55/34.74 (define @t42 () (tptp.aElementOf0 @t38 @t18)) % 34.55/34.74 (define @t43 () (@list @t38)) % 34.55/34.74 (define @t44 () (tptp.sdtpldt0 @t1 @t5)) % 34.55/34.74 (define @t45 () (and @t2 @t6)) % 34.55/34.74 (define @t46 () (not @t39)) % 34.55/34.74 (define @t47 () (and @t41 @t40 @t46)) % 34.55/34.74 (define @t48 () (= @t42 @t47)) % 34.55/34.74 (define @t49 () (forall @t43 @t48)) % 34.55/34.74 (define @t50 () (and @t36 @t49)) % 34.55/34.74 (define @t51 () (tptp.sdtmndt0 @t1 @t5)) % 34.55/34.74 (define @t52 () (= @t18 @t51)) % 34.55/34.74 (define @t53 () (= @t52 @t50)) % 34.55/34.74 (define @t54 () (forall @t21 @t53)) % 34.55/34.74 (define @t55 () (=> @t45 @t54)) % 34.55/34.74 (define @t56 () (forall @t34 @t55)) % 34.55/34.74 (define @t57 () (tptp.sdtpldt0 @t5 @t1)) % 34.55/34.74 (define @t58 () (tptp.isCountable0 @t5)) % 34.55/34.74 (define @t59 () (and @t23 @t58)) % 34.55/34.74 (define @t60 () (tptp.sdtmndt0 @t5 @t1)) % 34.55/34.74 (define @t61 () (and @t23 @t30)) % 34.55/34.74 (define @t62 () (tptp.aSet0 tptp.szNzAzT0)) % 34.55/34.74 (define @t63 () (tptp.szszuzczcdt0 @t1)) % 34.55/34.74 (define @t64 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 34.55/34.74 (define @t65 () (tptp.szszuzczcdt0 @t5)) % 34.55/34.74 (define @t66 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 34.55/34.74 (define @t67 () (and @t64 @t66)) % 34.55/34.74 (define @t68 () (= @t1 tptp.sz00)) % 34.55/34.74 (define @t69 () (tptp.sdtlseqdt0 @t1 @t5)) % 34.55/34.74 (define @t70 () (tptp.sdtlseqdt0 @t5 @t1)) % 34.55/34.74 (define @t71 () (tptp.sdtlseqdt0 @t5 @t18)) % 34.55/34.74 (define @t72 () (tptp.aElementOf0 @t18 tptp.szNzAzT0)) % 34.55/34.74 (define @t73 () (tptp.sbrdtbr0 @t1)) % 34.55/34.74 (define @t74 () (not @t7)) % 34.55/34.74 (define @t75 () (and @t2 @t66)) % 34.55/34.74 (define @t76 () (tptp.szmzizndt0 @t1)) % 34.55/34.74 (define @t77 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 34.55/34.74 (define @t78 () (tptp.szmzizndt0 @t5)) % 34.55/34.74 (define @t79 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 34.55/34.74 (define @t80 () (tptp.slbdtrb0 @t1)) % 34.55/34.74 (define @t81 () (tptp.slbdtrb0 @t5)) % 34.55/34.74 (define @t82 () (tptp.aSubsetOf0 @t38 @t1)) % 34.55/34.74 (define @t83 () (tptp.slbdtsldtrb0 @t1 @t5)) % 34.55/34.74 (define @t84 () (tptp.slbdtsldtrb0 @t5 @t1)) % 34.55/34.74 (define @t85 () (tptp.aFunction0 @t1)) % 34.55/34.74 (define @t86 () (tptp.szDzozmdt0 @t1)) % 34.55/34.74 (define @t87 () (tptp.sdtlpdtrp0 @t1 @t5)) % 34.55/34.74 (define @t88 () (tptp.aElementOf0 @t5 @t86)) % 34.55/34.74 (define @t89 () (tptp.sdtlpdtrp0 @t1 @t38)) % 34.55/34.74 (define @t90 () (tptp.aElementOf0 @t38 @t86)) % 34.55/34.74 (define @t91 () (tptp.sdtlbdtrb0 @t1 @t5)) % 34.55/34.74 (define @t92 () (and @t85 @t6)) % 34.55/34.74 (define @t93 () (@var "W4" $$unsorted)) % 34.55/34.74 (define @t94 () (@list @t93)) % 34.55/34.74 (define @t95 () (tptp.sdtlcdtrc0 @t1 @t5)) % 34.55/34.74 (define @t96 () (tptp.aSubsetOf0 @t5 @t86)) % 34.55/34.74 (define @t97 () (tptp.sdtlcdtrc0 @t1 @t86)) % 34.55/34.74 (define @t98 () (tptp.szDzozmdt0 @t18)) % 34.55/34.74 (define @t99 () (tptp.aFunction0 @t18)) % 34.55/34.74 (define @t100 () (tptp.szDzizrdt0 @t1)) % 34.55/34.74 (define @t101 () (tptp.szDzozmdt0 tptp.xc)) % 34.55/34.74 (define @t102 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 34.55/34.74 (define @t103 () (@var "W5" $$unsorted)) % 34.55/34.74 (define @t104 () (tptp.sdtlpdtrp0 tptp.xN @t63)) % 34.55/34.74 (define @t105 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 34.55/34.74 (define @t106 () (tptp.szmzizndt0 @t105)) % 34.55/34.74 (define @t107 () (tptp.sdtmndt0 @t105 @t106)) % 34.55/34.74 (define @t108 () (and (tptp.aSubsetOf0 @t105 tptp.szNzAzT0) (tptp.isCountable0 @t105))) % 34.55/34.74 (define @t109 () (tptp.szDzozmdt0 tptp.xN)) % 34.55/34.74 (define @t110 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 34.55/34.74 (define @t111 () (tptp.sdtpldt0 @t5 @t106)) % 34.55/34.74 (define @t112 () (tptp.slbdtsldtrb0 @t107 tptp.xk)) % 34.55/34.74 (define @t113 () (and @t23 (tptp.aElementOf0 @t5 @t112))) % 34.55/34.74 (define @t114 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 34.55/34.74 (define @t115 () (tptp.sdtlpdtrp0 @t114 @t5)) % 34.55/34.74 (define @t116 () (tptp.szDzozmdt0 @t114)) % 34.55/34.74 (define @t117 () (tptp.aElementOf0 @t5 tptp.xT)) % 34.55/34.74 (define @t118 () (tptp.slbdtsldtrb0 @t104 tptp.xk)) % 34.55/34.74 (define @t119 () (tptp.szDzozmdt0 tptp.xd)) % 34.55/34.74 (define @t120 () (tptp.szDzizrdt0 tptp.xd)) % 34.55/34.74 (define @t121 () (tptp.sdtlbdtrb0 tptp.xd @t120)) % 34.55/34.74 (define @t122 () (tptp.aSet0 tptp.xO)) % 34.55/34.74 (define @t123 () (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) % 34.55/34.74 (define @t124 () (tptp.szmzizndt0 tptp.xQ)) % 34.55/34.74 (define @t125 () (tptp.sdtmndt0 tptp.xQ @t124)) % 34.55/34.74 (define @t126 () (tptp.sdtlpdtrp0 tptp.xe tptp.xn)) % 34.55/34.74 (define @t127 () (tptp.aElementOf0 tptp.xx tptp.xP)) % 34.55/34.74 (define @t128 () (tptp.aElementOf0 tptp.xx tptp.szNzAzT0)) % 34.55/34.74 (define @t129 () (tptp.sdtlpdtrp0 tptp.xe tptp.xm)) % 34.55/34.74 (define @t130 () (tptp.sdtlpdtrp0 tptp.xN tptp.xm)) % 34.55/34.74 (define @t131 () (= tptp.xp tptp.xx)) % 34.55/34.74 (define @t132 () (@var "BOUND_VARIABLE_8372" $$unsorted)) % 34.55/34.74 (define @t133 () (tptp.aElementOf0 @t38 @t132)) % 34.55/34.74 (define @t134 () (and @t41 @t40 (not (= @t5 @t38)))) % 34.55/34.74 (define @t135 () (forall @t43 (= @t133 @t134))) % 34.55/34.74 (define @t136 () (tptp.aSet0 @t132)) % 34.55/34.74 (define @t137 () (and @t136 @t135)) % 34.55/34.74 (define @t138 () (= (= @t132 @t51) @t137)) % 34.55/34.74 (define @t139 () (not @t6)) % 34.55/34.74 (define @t140 () (not @t2)) % 34.55/34.74 (define @t141 () (or @t140 @t139 @t138)) % 34.55/34.74 (define @t142 () (@list @t1 @t5 @t132)) % 34.55/34.74 (define @t143 () (forall @t142 @t141)) % 34.55/34.74 (define @t144 () (@list @t132)) % 34.55/34.74 (define @t145 () (forall @t144 @t141)) % 34.55/34.74 (define @t146 () (forall @t144 @t138)) % 34.55/34.74 (define @t147 () (or @t140 @t139 @t146)) % 34.55/34.74 (define @t148 () (forall @t21 (= @t52 (and @t36 (forall @t43 (= @t42 @t134)))))) % 34.55/34.74 (define @t149 () (or @t140 @t139 @t148)) % 34.55/34.74 (define @t150 () (not (= @t126 @t38))) % 34.55/34.74 (define @t151 () (tptp.aElementOf0 @t38 tptp.xQ)) % 34.55/34.74 (define @t152 () (and @t41 @t151 @t150)) % 34.55/34.74 (define @t153 () (tptp.aElementOf0 @t38 @t125)) % 34.55/34.74 (define @t154 () (forall @t43 (= @t152 @t153))) % 34.55/34.74 (define @t155 () (tptp.aSet0 @t125)) % 34.55/34.74 (define @t156 () (and @t155 @t154)) % 34.55/34.74 (define @t157 () (tptp.sdtmndt0 tptp.xQ @t126)) % 34.55/34.74 (define @t158 () (= (= @t157 @t125) @t156)) % 34.55/34.74 (define @t159 () (tptp.aElement0 @t126)) % 34.55/34.74 (define @t160 () (not @t159)) % 34.55/34.74 (define @t161 () (tptp.aSet0 tptp.xQ)) % 34.55/34.74 (define @t162 () (not @t161)) % 34.55/34.74 (define @t163 () (or @t162 @t160 @t158)) % 34.55/34.74 (define @t164 () (forall @t142 (or @t140 @t139 (= (= @t51 @t132) (and @t136 (forall @t43 (= @t134 @t133))))))) % 34.55/34.74 (define @t165 () (forall @t43 (= @t153 (and @t41 @t151 (not (= @t38 @t126)))))) % 34.55/34.74 (define @t166 () (and @t155 @t165)) % 34.55/34.74 (define @t167 () (= @t125 @t157)) % 34.55/34.74 (define @t168 () (= @t167 @t166)) % 34.55/34.74 (define @t169 () (or @t162 @t160 @t168)) % 34.55/34.74 (define @t170 () (@list false)) % 34.55/34.74 (define @t171 () (@var "BOUND_VARIABLE_8219" $$unsorted)) % 34.55/34.74 (define @t172 () (tptp.aElement0 @t171)) % 34.55/34.74 (define @t173 () (not (tptp.aElementOf0 @t171 @t1))) % 34.55/34.74 (define @t174 () (or @t173 @t172)) % 34.55/34.74 (define @t175 () (or @t140 @t174)) % 34.55/34.74 (define @t176 () (forall (@list @t1 @t171) @t175)) % 34.55/34.74 (define @t177 () (@list @t171)) % 34.55/34.74 (define @t178 () (forall @t177 @t175)) % 34.55/34.74 (define @t179 () (forall @t177 @t174)) % 34.55/34.74 (define @t180 () (@list @t5)) % 34.55/34.74 (define @t181 () (or @t140 @t179)) % 34.55/34.74 (define @t182 () (forall @t8 (or @t74 @t6))) % 34.55/34.74 (define @t183 () (tptp.aElement0 @t129)) % 34.55/34.74 (define @t184 () (tptp.aElementOf0 @t129 @t109)) % 34.55/34.74 (define @t185 () (not @t184)) % 34.55/34.74 (define @t186 () (tptp.aSet0 @t109)) % 34.55/34.74 (define @t187 () (not @t186)) % 34.55/34.74 (define @t188 () (or @t187 @t185 @t183)) % 34.55/34.74 (define @t189 () (@list false false false)) % 34.55/34.74 (define @t190 () (@var "BOUND_VARIABLE_8268" $$unsorted)) % 34.55/34.74 (define @t191 () (= (tptp.aSubsetOf0 @t190 @t1) (and (tptp.aSet0 @t190) (forall @t21 (or (not (tptp.aElementOf0 @t18 @t190)) @t19))))) % 34.55/34.74 (define @t192 () (or @t140 @t191)) % 34.55/34.74 (define @t193 () (@list @t190)) % 34.55/34.74 (define @t194 () (forall @t193 @t192)) % 34.55/34.74 (define @t195 () (forall @t193 @t191)) % 34.55/34.74 (define @t196 () (or @t140 @t195)) % 34.55/34.74 (define @t197 () (forall @t8 (= @t25 (and @t23 (forall @t21 (or (not @t20) @t19)))))) % 34.55/34.74 (define @t198 () (and @t161 (forall @t21 (or (not (tptp.aElementOf0 @t18 tptp.xQ)) (tptp.aElementOf0 @t18 @t109))))) % 34.55/34.74 (define @t199 () (tptp.aSubsetOf0 tptp.xQ @t109)) % 34.55/34.74 (define @t200 () (= @t199 @t198)) % 34.55/34.74 (define @t201 () (or @t187 @t200)) % 34.55/34.74 (define @t202 () (@list false false)) % 34.55/34.74 (define @t203 () (not (= @t129 @t126))) % 34.55/34.74 (define @t204 () (tptp.aElementOf0 @t129 tptp.xQ)) % 34.55/34.74 (define @t205 () (and @t183 @t204 @t203)) % 34.55/34.74 (define @t206 () (tptp.aElementOf0 @t129 @t125)) % 34.55/34.74 (define @t207 () (= @t206 @t205)) % 34.55/34.74 (define @t208 () (not (= @t126 @t129))) % 34.55/34.74 (define @t209 () (and @t183 @t204 @t208)) % 34.55/34.74 (define @t210 () (= @t206 @t209)) % 34.55/34.74 (assume @p1 (forall @t3 (=> @t2 true))) % 34.55/34.74 (assume @p2 (forall @t3 (=> @t4 true))) % 34.55/34.74 (assume @p3 @t11) % 34.55/34.74 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 34.55/34.74 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 34.55/34.74 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 34.55/34.74 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 34.55/34.74 (assume @p8 (forall @t3 (=> @t16 @t15))) % 34.55/34.74 (assume @p9 (forall @t3 (=> @t16 @t17))) % 34.55/34.74 (assume @p10 @t29) % 34.55/34.74 (assume @p11 (forall @t3 (=> @t31 (forall @t8 (=> @t25 @t30))))) % 34.55/34.74 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 34.55/34.74 (assume @p13 (forall @t34 (=> (and @t2 @t23) (=> (and @t33 @t25) @t32)))) % 34.55/34.74 (assume @p14 (forall @t37 (=> (and @t2 @t23 @t36) (=> (and @t33 @t35) (tptp.aSubsetOf0 @t1 @t18))))) % 34.55/34.74 (assume @p15 (forall @t34 (=> @t45 (forall @t21 (= (= @t18 @t44) (and @t36 (forall @t43 (= @t42 (and @t41 (or @t40 @t39)))))))))) % 34.55/34.74 (assume @p16 @t56) % 34.55/34.74 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t51 @t5) @t1)))))) % 34.55/34.74 (assume @p18 (forall @t34 (=> (and @t4 @t23) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t57 @t1) @t5))))) % 34.55/34.74 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t59 (tptp.isCountable0 @t57)))))) % 34.55/34.74 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t59 (tptp.isCountable0 @t60)))))) % 34.55/34.74 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t61 (tptp.isFinite0 @t57)))))) % 34.55/34.74 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t61 (tptp.isFinite0 @t60)))))) % 34.55/34.74 (assume @p23 (and @t62 (tptp.isCountable0 tptp.szNzAzT0))) % 34.55/34.74 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 34.55/34.74 (assume @p25 (forall @t3 (=> @t64 (and (tptp.aElementOf0 @t63 tptp.szNzAzT0) (not (= @t63 tptp.sz00)))))) % 34.55/34.74 (assume @p26 (forall @t34 (=> @t67 (=> (= @t63 @t65) @t32)))) % 34.55/34.74 (assume @p27 (forall @t3 (=> @t64 (or @t68 (exists @t8 (and @t66 (= @t1 @t65))))))) % 34.55/34.74 (assume @p28 (forall @t3 (=> @t64 (not (= @t1 @t63))))) % 34.55/34.74 (assume @p29 (forall @t34 (=> @t67 (=> @t69 true)))) % 34.55/34.74 (assume @p30 (forall @t3 (=> @t64 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 34.55/34.74 (assume @p31 (forall @t3 (=> @t64 (not (tptp.sdtlseqdt0 @t63 tptp.sz00))))) % 34.55/34.74 (assume @p32 (forall @t34 (=> @t67 (= @t69 (tptp.sdtlseqdt0 @t63 @t65))))) % 34.55/34.74 (assume @p33 (forall @t3 (=> @t64 (tptp.sdtlseqdt0 @t1 @t63)))) % 34.55/34.74 (assume @p34 (forall @t3 (=> @t64 (tptp.sdtlseqdt0 @t1 @t1)))) % 34.55/34.74 (assume @p35 (forall @t34 (=> @t67 (=> (and @t69 @t70) @t32)))) % 34.55/34.74 (assume @p36 (forall @t37 (=> (and @t64 @t66 @t72) (=> (and @t69 @t71) (tptp.sdtlseqdt0 @t1 @t18))))) % 34.55/34.74 (assume @p37 (forall @t34 (=> @t67 (or @t69 (tptp.sdtlseqdt0 @t65 @t1))))) % 34.55/34.74 (assume @p38 (forall @t34 (=> @t67 (=> (tptp.iLess0 @t1 @t5) true)))) % 34.55/34.74 (assume @p39 (forall @t3 (=> @t64 (tptp.iLess0 @t1 @t63)))) % 34.55/34.74 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t73)))) % 34.55/34.74 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t73 tptp.szNzAzT0) @t12)))) % 34.55/34.74 (assume @p42 (forall @t3 (=> @t2 (= (= @t73 tptp.sz00) @t13)))) % 34.55/34.74 (assume @p43 (forall @t3 (=> @t31 (forall @t8 (=> @t6 (=> @t74 (= (tptp.sbrdtbr0 @t44) (tptp.szszuzczcdt0 @t73)))))))) % 34.55/34.74 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t51)) @t73)))))) % 34.55/34.74 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t25) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t73)))))) % 34.55/34.74 (assume @p46 (forall @t34 (=> @t75 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t73)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5))))))) % 34.55/34.74 (assume @p47 (forall @t3 (=> (and @t77 @t17) (forall @t8 (= (= @t5 @t76) (and @t7 (forall @t21 (=> @t19 @t71)))))))) % 34.55/34.74 (assume @p48 (forall @t3 (=> (and @t77 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5))))))))) % 34.55/34.74 (assume @p49 (forall @t34 (=> (and @t77 @t79 @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t76 @t5) (tptp.aElementOf0 @t78 @t1)) (= @t76 @t78))))) % 34.55/34.74 (assume @p50 (forall @t3 (=> @t64 (forall @t8 (= (= @t5 @t80) (and @t23 (forall @t21 (= @t20 (and @t72 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1)))))))))) % 34.55/34.74 (assume @p51 (forall @t3 (=> @t64 (tptp.isFinite0 @t80)))) % 34.55/34.74 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 34.55/34.74 (assume @p53 (forall @t34 (=> @t67 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t65)) (or (tptp.aElementOf0 @t1 @t81) @t32))))) % 34.55/34.74 (assume @p54 (forall @t34 (=> @t67 (= @t69 (tptp.aSubsetOf0 @t80 @t81))))) % 34.55/34.74 (assume @p55 (forall @t3 (=> (and @t77 @t12) (exists @t8 (and @t66 (tptp.aSubsetOf0 @t1 @t81)))))) % 34.55/34.74 (assume @p56 (forall @t3 (=> @t64 (= (tptp.sbrdtbr0 @t80) @t1)))) % 34.55/34.74 (assume @p57 (forall @t34 (=> @t75 (forall @t21 (= (= @t18 @t83) (and @t36 (forall @t43 (= @t42 (and @t82 (= (tptp.sbrdtbr0 @t38) @t5)))))))))) % 34.55/34.74 (assume @p58 (forall @t3 (=> @t31 (forall @t8 (=> @t66 (tptp.isFinite0 @t83)))))) % 34.55/34.74 (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t66 (not (= @t83 tptp.slcrc0))))))) % 34.55/34.74 (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t66 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t83)))))) % 34.55/34.74 (assume @p61 (forall @t3 (=> @t64 (forall (@list @t5 @t18) (=> (and @t23 @t36 (not @t68)) (=> (and (tptp.aSubsetOf0 @t84 (tptp.slbdtsldtrb0 @t18 @t1)) (not (= @t84 tptp.slcrc0))) @t35)))))) % 34.55/34.74 (assume @p62 (forall @t34 (=> @t75 (forall @t21 (=> (and (tptp.aSubsetOf0 @t18 @t83) (tptp.isFinite0 @t18)) (exists @t43 (and @t82 (tptp.isFinite0 @t38) (tptp.aSubsetOf0 @t18 (tptp.slbdtsldtrb0 @t38 @t5))))))))) % 34.55/34.74 (assume @p63 (forall @t3 (=> @t85 true))) % 34.55/34.74 (assume @p64 (forall @t3 (=> @t85 (tptp.aSet0 @t86)))) % 34.55/34.74 (assume @p65 (forall @t3 (=> @t85 (forall @t8 (=> @t88 (tptp.aElement0 @t87)))))) % 34.55/34.74 (assume @p66 (forall @t34 (=> @t92 (forall @t21 (= (= @t18 @t91) (and @t36 (forall @t43 (= @t42 (and @t90 (= @t89 @t5)))))))))) % 34.55/34.74 (assume @p67 (forall @t34 (=> @t92 (tptp.aSubsetOf0 @t91 @t86)))) % 34.55/34.74 (assume @p68 (forall @t3 (=> @t85 (forall @t8 (=> @t96 (forall @t21 (= (= @t18 @t95) (and @t36 (forall @t43 (= @t42 (exists @t94 (and (tptp.aElementOf0 @t93 @t5) (= (tptp.sdtlpdtrp0 @t1 @t93) @t38))))))))))))) % 34.55/34.74 (assume @p69 (forall @t3 (=> @t85 (forall @t8 (=> @t88 (tptp.aElementOf0 @t87 @t97)))))) % 34.55/34.74 (assume @p70 (forall @t3 (=> @t85 (forall @t8 (=> @t96 (forall @t21 (= (= @t18 (tptp.sdtexdt0 @t1 @t5)) (and @t99 (= @t98 @t5) (forall @t43 (=> (tptp.aElementOf0 @t38 @t5) (= (tptp.sdtlpdtrp0 @t18 @t38) @t89))))))))))) % 34.55/34.74 (assume @p71 (forall @t3 (=> @t85 (forall @t8 (=> (and @t96 @t58) (=> (forall (@list @t18 @t38) (=> (and (tptp.aElementOf0 @t18 @t86) @t90 (not (= @t18 @t38))) (not (= (tptp.sdtlpdtrp0 @t1 @t18) @t89)))) (tptp.isCountable0 @t95))))))) % 34.55/34.74 (assume @p72 (forall @t3 (=> @t85 (=> (and (tptp.isCountable0 @t86) (tptp.isFinite0 @t97)) (and (tptp.aElement0 @t100) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t100))))))) % 34.55/34.74 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 34.55/34.74 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 34.55/34.74 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 34.55/34.74 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t101 @t102) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t101) tptp.xT))) % 34.55/34.74 (assume @p77 (forall @t3 (=> @t64 (forall @t8 (=> (and @t79 @t58) (forall @t21 (=> (and @t99 (= @t98 @t84) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t18 @t98) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t43 (and (tptp.aElementOf0 @t38 tptp.xT) (exists @t94 (and (tptp.aSubsetOf0 @t93 @t5) (tptp.isCountable0 @t93) (forall (@list @t103) (=> (tptp.aElementOf0 @t103 (tptp.slbdtsldtrb0 @t93 @t1)) (= (tptp.sdtlpdtrp0 @t18 @t103) @t38))))))))))))))) % 34.55/34.74 (assume @p78 (not (= tptp.xK tptp.sz00))) % 34.55/34.74 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 34.55/34.74 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t109 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t64 (=> @t108 (and (tptp.aSubsetOf0 @t104 @t107) (tptp.isCountable0 @t104))))))) % 34.55/34.74 (assume @p81 (forall @t3 (=> @t64 @t108))) % 34.55/34.74 (assume @p82 (forall @t34 (=> @t67 (=> @t70 (tptp.aSubsetOf0 @t105 @t110))))) % 34.55/34.74 (assume @p83 (forall @t34 (=> (and @t64 @t66 (not @t32)) (not (= @t106 (tptp.szmzizndt0 @t110)))))) % 34.55/34.74 (assume @p84 (forall @t3 (=> @t64 (forall @t8 (=> @t113 (tptp.aElementOf0 @t111 @t102)))))) % 34.55/34.74 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t64 (and (tptp.aFunction0 @t114) (= @t116 @t112) (forall @t8 (=> @t113 (= @t115 (tptp.sdtlpdtrp0 tptp.xc @t111))))))))) % 34.55/34.74 (assume @p86 (forall @t3 (=> @t64 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t114 @t116) tptp.xT)))) % 34.55/34.74 (assume @p87 (forall @t3 (=> @t64 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t107) @t58) (forall @t21 (=> (and @t36 (tptp.aElementOf0 @t18 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t18 @t112)))))))) % 34.55/34.74 (assume @p88 (forall @t3 (=> @t64 (exists @t8 (and @t117 (exists @t21 (and (tptp.aSubsetOf0 @t18 @t107) (tptp.isCountable0 @t18) (forall @t43 (=> (and (tptp.aSet0 @t38) (tptp.aElementOf0 @t38 (tptp.slbdtsldtrb0 @t18 tptp.xk))) (= (tptp.sdtlpdtrp0 @t114 @t38) @t5)))))))))) % 34.55/34.74 (assume @p89 (forall @t3 (=> @t64 (exists @t8 (and @t117 (forall @t21 (=> (and @t36 (tptp.aElementOf0 @t18 @t118)) (= (tptp.sdtlpdtrp0 @t114 @t18) @t5)))))))) % 34.55/34.74 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t64 (= (tptp.sdtlpdtrp0 tptp.xe @t1) @t106))))) % 34.55/34.74 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t119 tptp.szNzAzT0) (forall @t3 (=> @t64 (forall @t8 (=> (and @t23 (tptp.aElementOf0 @t5 @t118)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t115))))))) % 34.55/34.74 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t119) tptp.xT)) % 34.55/34.74 (assume @p93 (and (tptp.aElementOf0 @t120 tptp.xT) (tptp.isCountable0 @t121))) % 34.55/34.74 (assume @p94 (and @t122 (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t121)))) % 34.55/34.74 (assume @p95 (and @t122 (tptp.isCountable0 tptp.xO))) % 34.55/34.74 (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t66 (tptp.aElementOf0 @t5 @t121) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)))))) % 34.55/34.74 (assume @p97 (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 34.55/34.74 (assume @p98 (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK))) % 34.55/34.74 (assume @p99 (and (tptp.aSubsetOf0 tptp.xQ tptp.xO) (not (= tptp.xQ tptp.slcrc0)))) % 34.55/34.74 (assume @p100 @t123) % 34.55/34.74 (assume @p101 (tptp.aElementOf0 tptp.xQ @t101)) % 34.55/34.74 (assume @p102 (= tptp.xp @t124)) % 34.55/34.74 (assume @p103 (and (tptp.aSet0 tptp.xP) (= tptp.xP @t125))) % 34.55/34.74 (assume @p104 (tptp.aElementOf0 tptp.xp tptp.xQ)) % 34.55/34.74 (assume @p105 (tptp.aElementOf0 tptp.xp tptp.xO)) % 34.55/34.74 (assume @p106 (tptp.aSubsetOf0 tptp.xP tptp.xQ)) % 34.55/34.74 (assume @p107 (tptp.aSubsetOf0 tptp.xP tptp.xO)) % 34.55/34.74 (assume @p108 (= (tptp.sbrdtbr0 tptp.xP) tptp.xk)) % 34.55/34.74 (assume @p109 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk))) % 34.55/34.74 (assume @p110 (and (tptp.aElementOf0 tptp.xn @t121) (tptp.aElementOf0 tptp.xn tptp.szNzAzT0) (= @t126 tptp.xp))) % 34.55/34.74 (assume @p111 (= (tptp.sdtlpdtrp0 tptp.xd tptp.xn) @t120)) % 34.55/34.74 (assume @p112 @t127) % 34.55/34.74 (assume @p113 (and @t128 (tptp.aElementOf0 tptp.xx tptp.xO))) % 34.55/34.74 (assume @p114 (and (tptp.aElementOf0 tptp.xm tptp.szNzAzT0) (= tptp.xx @t129))) % 34.55/34.74 (assume @p115 (= tptp.xx (tptp.szmzizndt0 @t130))) % 34.55/34.74 (assume @p116 (not (tptp.aSubsetOf0 @t130 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn))))) % 34.55/34.74 (assume @p117 (tptp.aSubsetOf0 (tptp.sdtlpdtrp0 tptp.xN tptp.xn) @t130)) % 34.55/34.74 (assume @p118 (and (tptp.aElementOf0 tptp.xp @t130) (tptp.aElementOf0 tptp.xx tptp.xQ))) % 34.55/34.74 (assume @p119 @t131) % 34.55/34.74 (assume @p120 (not false)) % 34.55/34.74 (assume @p121 true) % 34.55/34.74 (step @p122 :rule evaluate :args ((= true false))) % 34.55/34.74 (step @p123 :rule eq-symm :args (@t133 @t134)) % 34.55/34.74 (step @p124 :rule cong :premises (@p123) :args (@t135)) % 34.55/34.74 (step @p125 :rule refl :args (@t136)) % 34.55/34.74 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t137)) % 34.55/34.74 (step @p127 :rule eq-symm :args (@t132 @t51)) % 34.55/34.74 (step @p128 :rule cong :premises (@p127 @p126) :args (@t138)) % 34.55/34.74 (step @p129 :rule refl :args (@t139)) % 34.55/34.74 (step @p130 :rule refl :args (@t140)) % 34.55/34.74 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128) :args (@t141)) % 34.55/34.74 (step @p132 :rule cong :premises (@p131) :args (@t143)) % 34.55/34.74 (step @p133 :rule quant-merge-prenex :args ((= (forall @t34 @t145) @t143))) % 34.55/34.74 (step @p134 :rule alpha_equiv :args (@t146 (@list @t132) (@list @t18))) % 34.55/34.74 (step @p135 :rule refl :args (@t139)) % 34.55/34.74 (step @p136 :rule refl :args (@t140)) % 34.55/34.74 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args (@t147)) % 34.55/34.74 (step @p138 :rule quant-miniscope-or :args ((= @t145 @t147))) % 34.55/34.74 (step @p139 :rule trans :premises (@p138 @p137)) % 34.55/34.74 (step @p140 :rule symm :premises (@p139)) % 34.55/34.74 (step @p141 :rule cong :premises (@p140) :args ((forall @t34 @t149))) % 34.55/34.74 (step @p142 :rule trans :premises (@p141 @p133)) % 34.55/34.74 (step @p143 :rule trans :premises (@p142 @p132)) % 34.55/34.74 (step @p144 :rule aci_norm :args ((= (or (or @t140 @t139) @t148) @t149))) % 34.55/34.74 (step @p145 :rule refl :args (@t148)) % 34.55/34.74 (step @p146 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 34.55/34.74 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t45) @t148))) % 34.55/34.74 (step @p148 :rule trans :premises (@p147 @p144)) % 34.55/34.74 (step @p149 :rule bool-impl-elim :args (@t45 @t148)) % 34.55/34.74 (step @p150 :rule trans :premises (@p149 @p148)) % 34.55/34.74 (step @p151 :rule cong :premises (@p150) :args ((forall @t34 (=> @t45 @t148)))) % 34.55/34.74 (step @p152 :rule trans :premises (@p151 @p143)) % 34.55/34.74 (step @p153 :rule eq-symm :args (@t38 @t5)) % 34.55/34.74 (step @p154 :rule cong :premises (@p153) :args (@t46)) % 34.55/34.74 (step @p155 :rule refl :args (@t40)) % 34.55/34.74 (step @p156 :rule refl :args (@t41)) % 34.55/34.74 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154) :args (@t47)) % 34.55/34.74 (step @p158 :rule refl :args (@t42)) % 34.55/34.74 (step @p159 :rule cong :premises (@p158 @p157) :args (@t48)) % 34.55/34.74 (step @p160 :rule cong :premises (@p159) :args (@t49)) % 34.55/34.74 (step @p161 :rule refl :args (@t36)) % 34.55/34.74 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t50)) % 34.55/34.74 (step @p163 :rule refl :args (@t52)) % 34.55/34.74 (step @p164 :rule cong :premises (@p163 @p162) :args (@t53)) % 34.55/34.74 (step @p165 :rule cong :premises (@p164) :args (@t54)) % 34.55/34.74 (step @p166 :rule refl :args (@t45)) % 34.55/34.74 (step @p167 :rule cong :premises (@p166 @p165) :args (@t55)) % 34.55/34.74 (step @p168 :rule cong :premises (@p167) :args (@t56)) % 34.55/34.74 (step @p169 :rule trans :premises (@p168 @p152)) % 34.55/34.74 (step @p170 :rule eq_resolve :premises (@p16 @p169)) % 34.55/34.74 (step @p171 :rule eq-symm :args (@t126 @t38)) % 34.55/34.74 (step @p172 :rule cong :premises (@p171) :args (@t150)) % 34.55/34.74 (step @p173 :rule refl :args (@t151)) % 34.55/34.74 (step @p174 :rule nary_cong :premises (@p156 @p173 @p172) :args (@t152)) % 34.55/34.74 (step @p175 :rule refl :args (@t153)) % 34.55/34.74 (step @p176 :rule cong :premises (@p175 @p174) :args ((= @t153 @t152))) % 34.55/34.74 (step @p177 :rule eq-symm :args (@t152 @t153)) % 34.55/34.74 (step @p178 :rule trans :premises (@p177 @p176)) % 34.55/34.74 (step @p179 :rule cong :premises (@p178) :args (@t154)) % 34.55/34.74 (step @p180 :rule refl :args (@t155)) % 34.55/34.74 (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t156)) % 34.55/34.74 (step @p182 :rule eq-symm :args (@t157 @t125)) % 34.55/34.74 (step @p183 :rule cong :premises (@p182 @p181) :args (@t158)) % 34.55/34.74 (step @p184 :rule refl :args (@t160)) % 34.55/34.74 (step @p185 :rule refl :args (@t162)) % 34.55/34.74 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args (@t163)) % 34.55/34.74 (step @p187 :rule refl :args (@t164)) % 34.55/34.74 (step @p188 :rule cong :premises (@p187 @p186) :args ((=> @t164 @t163))) % 34.55/34.74 (assume-push @p319 @t164) % 34.55/34.74 (step @p190 :rule instantiate :premises (@p170) :args ((@list tptp.xQ @t126 @t125))) % 34.55/34.74 (step-pop @p320 :rule scope :premises (@p190)) % 34.55/34.74 (step @p191 :rule process_scope :premises (@p320) :args (@t163)) % 34.55/34.74 (step @p193 :rule eq_resolve :premises (@p191 @p188)) % 34.55/34.74 (step @p194 :rule implies_elim :premises (@p193)) % 34.55/34.74 (step @p195 :rule chain_m_resolution :premises (@p194 @p170) :args (@t169 @t170 (@list @t164))) % 34.55/34.74 (step @p196 :rule aci_norm :args ((= @t175 (or @t140 @t173 @t172)))) % 34.55/34.74 (step @p197 :rule cong :premises (@p196) :args (@t176)) % 34.55/34.74 (step @p198 :rule quant-merge-prenex :args ((= (forall @t3 @t178) @t176))) % 34.55/34.74 (step @p199 :rule alpha_equiv :args (@t179 (@list @t171) @t180)) % 34.55/34.74 (step @p200 :rule nary_cong :premises (@p136 @p199) :args (@t181)) % 34.55/34.74 (step @p201 :rule quant-miniscope-or :args ((= @t178 @t181))) % 34.55/34.74 (step @p202 :rule trans :premises (@p201 @p200)) % 34.55/34.74 (step @p203 :rule symm :premises (@p202)) % 34.55/34.74 (step @p204 :rule cong :premises (@p203) :args ((forall @t3 (or @t140 @t182)))) % 34.55/34.74 (step @p205 :rule trans :premises (@p204 @p198)) % 34.55/34.74 (step @p206 :rule trans :premises (@p205 @p197)) % 34.55/34.74 (step @p207 :rule bool-impl-elim :args (@t2 @t182)) % 34.55/34.74 (step @p208 :rule cong :premises (@p207) :args ((forall @t3 (=> @t2 @t182)))) % 34.55/34.74 (step @p209 :rule trans :premises (@p208 @p206)) % 34.55/34.74 (step @p210 :rule bool-impl-elim :args (@t7 @t6)) % 34.55/34.74 (step @p211 :rule cong :premises (@p210) :args (@t9)) % 34.55/34.74 (step @p212 :rule refl :args (@t2)) % 34.55/34.74 (step @p213 :rule cong :premises (@p212 @p211) :args (@t10)) % 34.55/34.74 (step @p214 :rule cong :premises (@p213) :args (@t11)) % 34.55/34.74 (step @p215 :rule trans :premises (@p214 @p209)) % 34.55/34.74 (step @p216 :rule eq_resolve :premises (@p3 @p215)) % 34.55/34.74 (step @p217 :rule instantiate :premises (@p216) :args ((@list @t109 @t129))) % 34.55/34.74 (step @p218 :rule and_elim :premises (@p80) :args (1)) % 34.55/34.74 (step @p219 :rule symm :premises (@p218)) % 34.55/34.74 (step @p220 :rule and_elim :premises (@p114) :args (1)) % 34.55/34.74 (step @p221 :rule cong :premises (@p220 @p219) :args (@t128)) % 34.55/34.74 (step @p222 :rule and_elim :premises (@p113) :args (0)) % 34.55/34.74 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 34.55/34.74 (step @p224 :rule cong :premises (@p219) :args (@t62)) % 34.55/34.74 (step @p225 :rule and_elim :premises (@p23) :args (0)) % 34.55/34.74 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 34.55/34.74 (step @p227 :rule cnf_or_pos :args (@t188)) % 34.55/34.74 (step @p228 :rule reordering :premises (@p227) :args ((or @t187 @t185 @t183 (not @t188)))) % 34.55/34.74 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p223 @p217) :args (@t183 @t189 (@list @t186 @t184 @t188))) % 34.55/34.74 (step @p230 :rule true_intro :premises (@p229)) % 34.55/34.74 (step @p231 :rule cong :premises (@p102 @p220) :args (@t131)) % 34.55/34.74 (step @p232 :rule eq_resolve :premises (@p119 @p231)) % 34.55/34.74 (step @p233 :rule refl :args (@t126)) % 34.55/34.74 (step @p234 :rule cong :premises (@p102 @p233) :args ((= tptp.xp @t126))) % 34.55/34.74 (step @p235 :rule eq-symm :args (@t126 tptp.xp)) % 34.55/34.74 (step @p236 :rule trans :premises (@p235 @p234)) % 34.55/34.74 (step @p237 :rule and_elim :premises (@p110) :args (2)) % 34.55/34.74 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 34.55/34.74 (step @p239 :rule symm :premises (@p238)) % 34.55/34.74 (step @p240 :rule trans :premises (@p239 @p232)) % 34.55/34.74 (step @p241 :rule cong :premises (@p240) :args (@t159)) % 34.55/34.74 (step @p242 :rule trans :premises (@p241 @p230)) % 34.55/34.74 (step @p243 :rule true_elim :premises (@p242)) % 34.55/34.74 (step @p244 :rule quant-merge-prenex :args ((= (forall @t3 @t194) (forall (@list @t1 @t190) @t192)))) % 34.55/34.74 (step @p245 :rule alpha_equiv :args (@t195 (@list @t190) @t180)) % 34.55/34.74 (step @p246 :rule nary_cong :premises (@p136 @p245) :args (@t196)) % 34.55/34.74 (step @p247 :rule quant-miniscope-or :args ((= @t194 @t196))) % 34.55/34.74 (step @p248 :rule trans :premises (@p247 @p246)) % 34.55/34.74 (step @p249 :rule symm :premises (@p248)) % 34.55/34.74 (step @p250 :rule cong :premises (@p249) :args ((forall @t3 (or @t140 @t197)))) % 34.55/34.74 (step @p251 :rule trans :premises (@p250 @p244)) % 34.55/34.74 (step @p252 :rule bool-impl-elim :args (@t2 @t197)) % 34.55/34.74 (step @p253 :rule cong :premises (@p252) :args ((forall @t3 (=> @t2 @t197)))) % 34.55/34.74 (step @p254 :rule trans :premises (@p253 @p251)) % 34.55/34.74 (step @p255 :rule bool-impl-elim :args (@t20 @t19)) % 34.55/34.74 (step @p256 :rule cong :premises (@p255) :args (@t22)) % 34.55/34.74 (step @p257 :rule refl :args (@t23)) % 34.55/34.74 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t24)) % 34.55/34.74 (step @p259 :rule refl :args (@t25)) % 34.55/34.74 (step @p260 :rule cong :premises (@p259 @p258) :args (@t26)) % 34.55/34.74 (step @p261 :rule cong :premises (@p260) :args (@t27)) % 34.55/34.74 (step @p262 :rule cong :premises (@p212 @p261) :args (@t28)) % 34.55/34.74 (step @p263 :rule cong :premises (@p262) :args (@t29)) % 34.55/34.74 (step @p264 :rule trans :premises (@p263 @p254)) % 34.55/34.74 (step @p265 :rule eq_resolve :premises (@p10 @p264)) % 34.55/34.74 (step @p266 :rule instantiate :premises (@p265) :args ((@list @t109 tptp.xQ))) % 34.55/34.74 (step @p267 :rule cnf_or_pos :args (@t201)) % 34.55/34.74 (step @p268 :rule reordering :premises (@p267) :args ((or @t187 @t200 (not @t201)))) % 34.55/34.74 (step @p269 :rule chain_m_resolution :premises (@p268 @p226 @p266) :args (@t200 @t202 (@list @t186 @t201))) % 34.55/34.74 (step @p270 :rule refl :args (tptp.xQ)) % 34.55/34.74 (step @p271 :rule cong :premises (@p270 @p219) :args (@t123)) % 34.55/34.74 (step @p272 :rule eq_resolve :premises (@p100 @p271)) % 34.55/34.74 (step @p273 :rule cnf_equiv_pos1 :args (@t200)) % 34.55/34.74 (step @p274 :rule reordering :premises (@p273) :args ((or (not @t199) @t198 (not @t200)))) % 34.55/34.74 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p269) :args (@t198 @t202 (@list @t199 @t200))) % 34.55/34.74 (step @p276 :rule cnf_and_pos :args (@t198 0)) % 34.55/34.74 (step @p277 :rule reordering :premises (@p276) :args ((or @t161 (not @t198)))) % 34.55/34.74 (step @p278 :rule chain_m_resolution :premises (@p277 @p275) :args (@t161 @t170 (@list @t198))) % 34.55/34.74 (step @p279 :rule cnf_or_pos :args (@t169)) % 34.55/34.74 (step @p280 :rule reordering :premises (@p279) :args ((or @t162 @t160 @t168 (not @t169)))) % 34.55/34.74 (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p243 @p195) :args (@t168 @t189 (@list @t161 @t159 @t169))) % 34.55/34.74 (step @p282 :rule cong :premises (@p270 @p238) :args (@t125)) % 34.55/34.74 (step @p283 :rule cnf_equiv_pos1 :args (@t168)) % 34.55/34.74 (step @p284 :rule reordering :premises (@p283) :args ((or @t166 (not @t167) (not @t168)))) % 34.55/34.74 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p281) :args (@t166 @t202 (@list @t167 @t168))) % 34.55/34.74 (step @p286 :rule cnf_and_pos :args (@t166 1)) % 34.55/34.74 (step @p287 :rule reordering :premises (@p286) :args ((or @t165 (not @t166)))) % 34.55/34.74 (step @p288 :rule chain_m_resolution :premises (@p287 @p285) :args (@t165 @t170 (@list @t166))) % 34.55/34.74 (step @p289 :rule eq-symm :args (@t129 @t126)) % 34.55/34.74 (step @p290 :rule cong :premises (@p289) :args (@t203)) % 34.55/34.74 (step @p291 :rule refl :args (@t204)) % 34.55/34.74 (step @p292 :rule refl :args (@t183)) % 34.55/34.74 (step @p293 :rule nary_cong :premises (@p292 @p291 @p290) :args (@t205)) % 34.55/34.74 (step @p294 :rule refl :args (@t206)) % 34.55/34.74 (step @p295 :rule cong :premises (@p294 @p293) :args (@t207)) % 34.55/34.74 (step @p296 :rule refl :args (@t165)) % 34.55/34.74 (step @p297 :rule cong :premises (@p296 @p295) :args ((=> @t165 @t207))) % 34.55/34.74 (assume-push @p321 @t165) % 34.55/34.75 (step @p299 :rule instantiate :premises (@p288) :args ((@list @t129))) % 34.55/34.75 (step-pop @p322 :rule scope :premises (@p299)) % 34.55/34.75 (step @p300 :rule process_scope :premises (@p322) :args (@t207)) % 34.55/34.75 (step @p302 :rule eq_resolve :premises (@p300 @p297)) % 34.55/34.75 (step @p303 :rule implies_elim :premises (@p302)) % 34.55/34.75 (step @p304 :rule chain_m_resolution :premises (@p303 @p288) :args (@t210 @t170 (@list @t165))) % 34.55/34.75 (step @p305 :rule and_elim :premises (@p103) :args (1)) % 34.55/34.75 (step @p306 :rule cong :premises (@p220 @p305) :args (@t127)) % 34.55/34.75 (step @p307 :rule eq_resolve :premises (@p112 @p306)) % 34.55/34.75 (step @p308 :rule cnf_equiv_pos1 :args (@t210)) % 34.55/34.75 (step @p309 :rule reordering :premises (@p308) :args ((or (not @t206) @t209 (not @t210)))) % 34.55/34.75 (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p304) :args (@t209 @t202 (@list @t206 @t210))) % 34.55/34.75 (step @p311 :rule cnf_and_pos :args (@t209 2)) % 34.55/34.75 (step @p312 :rule reordering :premises (@p311) :args ((or @t208 (not @t209)))) % 34.55/34.75 (step @p313 :rule chain_m_resolution :premises (@p312 @p310) :args (@t208 @t170 (@list @t209))) % 34.55/34.75 (step @p314 :rule false_intro :premises (@p313)) % 34.55/34.75 (step @p315 :rule true_intro :premises (@p240)) % 34.55/34.75 (step @p316 :rule symm :premises (@p315)) % 34.55/34.75 (step @p317 :rule trans :premises (@p316 @p314)) % 34.55/34.75 (step @p318 false :rule eq_resolve :premises (@p317 @p122)) % 34.55/34.75 ) % 34.55/34.75 % SZS output end Proof % 34.55/34.75 % cvc5 exiting %------------------------------------------------------------------------------