%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM623+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 0.52s 0.73s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM623+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.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 11:37:38 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.73 % SZS status Theorem % 0.52/0.73 % SZS output start Proof % 0.52/0.73 ( % 0.52/0.73 (declare-sort $$unsorted 0) % 0.52/0.73 (declare-const tptp.xx $$unsorted) % 0.52/0.73 (declare-const tptp.xn $$unsorted) % 0.52/0.73 (declare-const tptp.xp $$unsorted) % 0.52/0.73 (declare-const tptp.xQ $$unsorted) % 0.52/0.73 (declare-const tptp.xe $$unsorted) % 0.52/0.73 (declare-const tptp.xP $$unsorted) % 0.52/0.73 (declare-const tptp.xC $$unsorted) % 0.52/0.73 (declare-const tptp.xN $$unsorted) % 0.52/0.73 (declare-const tptp.sz00 $$unsorted) % 0.52/0.73 (declare-const tptp.xc $$unsorted) % 0.52/0.73 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.szNzAzT0 $$unsorted) % 0.52/0.73 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.xd $$unsorted) % 0.52/0.73 (declare-const tptp.xk $$unsorted) % 0.52/0.73 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.xm $$unsorted) % 0.52/0.73 (declare-const tptp.xK $$unsorted) % 0.52/0.73 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.xT $$unsorted) % 0.52/0.73 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.xO $$unsorted) % 0.52/0.73 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.xS $$unsorted) % 0.52/0.73 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.slcrc0 $$unsorted) % 0.52/0.73 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.73 (define @t1 () (@var "W0" $$unsorted)) % 0.52/0.73 (define @t2 () (tptp.aSet0 @t1)) % 0.52/0.73 (define @t3 () (@list @t1)) % 0.52/0.73 (define @t4 () (tptp.aElement0 @t1)) % 0.52/0.73 (define @t5 () (@var "W1" $$unsorted)) % 0.52/0.73 (define @t6 () (tptp.aElement0 @t5)) % 0.52/0.73 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.52/0.73 (define @t8 () (@list @t5)) % 0.52/0.73 (define @t9 () (tptp.isFinite0 @t1)) % 0.52/0.73 (define @t10 () (exists @t8 @t7)) % 0.52/0.73 (define @t11 () (not @t10)) % 0.52/0.73 (define @t12 () (and @t2 @t11)) % 0.52/0.73 (define @t13 () (= @t1 tptp.slcrc0)) % 0.52/0.73 (define @t14 () (= @t13 @t12)) % 0.52/0.73 (define @t15 () (forall @t3 @t14)) % 0.52/0.73 (define @t16 () (tptp.isCountable0 @t1)) % 0.52/0.73 (define @t17 () (not @t9)) % 0.52/0.73 (define @t18 () (and @t2 @t16)) % 0.52/0.73 (define @t19 () (not @t13)) % 0.52/0.73 (define @t20 () (forall @t3 (=> @t18 @t19))) % 0.52/0.73 (define @t21 () (@var "W2" $$unsorted)) % 0.52/0.73 (define @t22 () (tptp.aElementOf0 @t21 @t1)) % 0.52/0.73 (define @t23 () (tptp.aElementOf0 @t21 @t5)) % 0.52/0.73 (define @t24 () (@list @t21)) % 0.52/0.73 (define @t25 () (tptp.aSet0 @t5)) % 0.52/0.73 (define @t26 () (tptp.aSubsetOf0 @t5 @t1)) % 0.52/0.73 (define @t27 () (tptp.isFinite0 @t5)) % 0.52/0.73 (define @t28 () (and @t2 @t9)) % 0.52/0.73 (define @t29 () (= @t1 @t5)) % 0.52/0.73 (define @t30 () (tptp.aSubsetOf0 @t1 @t5)) % 0.52/0.73 (define @t31 () (@list @t1 @t5)) % 0.52/0.73 (define @t32 () (tptp.aSubsetOf0 @t5 @t21)) % 0.52/0.73 (define @t33 () (tptp.aSet0 @t21)) % 0.52/0.73 (define @t34 () (@list @t1 @t5 @t21)) % 0.52/0.73 (define @t35 () (@var "W3" $$unsorted)) % 0.52/0.73 (define @t36 () (= @t35 @t5)) % 0.52/0.73 (define @t37 () (tptp.aElementOf0 @t35 @t1)) % 0.52/0.73 (define @t38 () (tptp.aElement0 @t35)) % 0.52/0.73 (define @t39 () (tptp.aElementOf0 @t35 @t21)) % 0.52/0.73 (define @t40 () (@list @t35)) % 0.52/0.73 (define @t41 () (tptp.sdtpldt0 @t1 @t5)) % 0.52/0.73 (define @t42 () (and @t2 @t6)) % 0.52/0.73 (define @t43 () (tptp.sdtmndt0 @t1 @t5)) % 0.52/0.73 (define @t44 () (tptp.sdtpldt0 @t5 @t1)) % 0.52/0.73 (define @t45 () (tptp.isCountable0 @t5)) % 0.52/0.73 (define @t46 () (and @t25 @t45)) % 0.52/0.73 (define @t47 () (tptp.sdtmndt0 @t5 @t1)) % 0.52/0.73 (define @t48 () (and @t25 @t27)) % 0.52/0.73 (define @t49 () (tptp.szszuzczcdt0 @t1)) % 0.52/0.73 (define @t50 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.52/0.73 (define @t51 () (tptp.szszuzczcdt0 @t5)) % 0.52/0.73 (define @t52 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.52/0.73 (define @t53 () (and @t50 @t52)) % 0.52/0.73 (define @t54 () (= @t1 tptp.sz00)) % 0.52/0.73 (define @t55 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.52/0.73 (define @t56 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.52/0.73 (define @t57 () (tptp.sdtlseqdt0 @t5 @t21)) % 0.52/0.73 (define @t58 () (tptp.aElementOf0 @t21 tptp.szNzAzT0)) % 0.52/0.73 (define @t59 () (tptp.sbrdtbr0 @t1)) % 0.52/0.73 (define @t60 () (not @t7)) % 0.52/0.73 (define @t61 () (and @t2 @t52)) % 0.52/0.73 (define @t62 () (tptp.szmzizndt0 @t1)) % 0.52/0.73 (define @t63 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.52/0.73 (define @t64 () (tptp.szmzizndt0 @t5)) % 0.52/0.73 (define @t65 () (= @t62 @t64)) % 0.52/0.73 (define @t66 () (tptp.aElementOf0 @t64 @t1)) % 0.52/0.73 (define @t67 () (tptp.aElementOf0 @t62 @t5)) % 0.52/0.73 (define @t68 () (and @t67 @t66)) % 0.52/0.73 (define @t69 () (=> @t68 @t65)) % 0.52/0.73 (define @t70 () (= @t5 tptp.slcrc0)) % 0.52/0.73 (define @t71 () (not @t70)) % 0.52/0.73 (define @t72 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.52/0.73 (define @t73 () (and @t63 @t72 @t19 @t71)) % 0.52/0.73 (define @t74 () (forall @t31 (=> @t73 @t69))) % 0.52/0.73 (define @t75 () (tptp.slbdtrb0 @t1)) % 0.52/0.73 (define @t76 () (tptp.slbdtrb0 @t5)) % 0.52/0.73 (define @t77 () (tptp.aSubsetOf0 @t35 @t1)) % 0.52/0.73 (define @t78 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.52/0.73 (define @t79 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.52/0.73 (define @t80 () (tptp.aFunction0 @t1)) % 0.52/0.73 (define @t81 () (tptp.szDzozmdt0 @t1)) % 0.52/0.73 (define @t82 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.52/0.73 (define @t83 () (tptp.aElementOf0 @t5 @t81)) % 0.52/0.73 (define @t84 () (tptp.sdtlpdtrp0 @t1 @t35)) % 0.52/0.73 (define @t85 () (tptp.aElementOf0 @t35 @t81)) % 0.52/0.73 (define @t86 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.52/0.73 (define @t87 () (and @t80 @t6)) % 0.52/0.73 (define @t88 () (@var "W4" $$unsorted)) % 0.52/0.73 (define @t89 () (@list @t88)) % 0.52/0.73 (define @t90 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.52/0.73 (define @t91 () (tptp.aSubsetOf0 @t5 @t81)) % 0.52/0.73 (define @t92 () (tptp.sdtlcdtrc0 @t1 @t81)) % 0.52/0.73 (define @t93 () (tptp.szDzozmdt0 @t21)) % 0.52/0.73 (define @t94 () (tptp.aFunction0 @t21)) % 0.52/0.73 (define @t95 () (tptp.szDzizrdt0 @t1)) % 0.52/0.73 (define @t96 () (tptp.szDzozmdt0 tptp.xc)) % 0.52/0.73 (define @t97 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 0.52/0.73 (define @t98 () (@var "W5" $$unsorted)) % 0.52/0.73 (define @t99 () (tptp.sdtlpdtrp0 tptp.xN @t49)) % 0.52/0.73 (define @t100 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.52/0.73 (define @t101 () (tptp.szmzizndt0 @t100)) % 0.52/0.73 (define @t102 () (tptp.sdtmndt0 @t100 @t101)) % 0.52/0.73 (define @t103 () (and (tptp.aSubsetOf0 @t100 tptp.szNzAzT0) (tptp.isCountable0 @t100))) % 0.52/0.73 (define @t104 () (forall @t3 (=> @t50 @t103))) % 0.52/0.73 (define @t105 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.52/0.73 (define @t106 () (tptp.sdtpldt0 @t5 @t101)) % 0.52/0.73 (define @t107 () (tptp.slbdtsldtrb0 @t102 tptp.xk)) % 0.52/0.73 (define @t108 () (and @t25 (tptp.aElementOf0 @t5 @t107))) % 0.52/0.73 (define @t109 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 0.52/0.73 (define @t110 () (tptp.sdtlpdtrp0 @t109 @t5)) % 0.52/0.73 (define @t111 () (tptp.szDzozmdt0 @t109)) % 0.52/0.73 (define @t112 () (tptp.aElementOf0 @t5 tptp.xT)) % 0.52/0.73 (define @t113 () (tptp.slbdtsldtrb0 @t99 tptp.xk)) % 0.52/0.73 (define @t114 () (tptp.szDzozmdt0 tptp.xd)) % 0.52/0.73 (define @t115 () (tptp.szDzizrdt0 tptp.xd)) % 0.52/0.73 (define @t116 () (tptp.sdtlbdtrb0 tptp.xd @t115)) % 0.52/0.73 (define @t117 () (tptp.aSet0 tptp.xO)) % 0.52/0.73 (define @t118 () (= tptp.xQ tptp.slcrc0)) % 0.52/0.73 (define @t119 () (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) % 0.52/0.73 (define @t120 () (tptp.szmzizndt0 tptp.xQ)) % 0.52/0.73 (define @t121 () (tptp.aElementOf0 tptp.xm tptp.szNzAzT0)) % 0.52/0.73 (define @t122 () (tptp.sdtlpdtrp0 tptp.xN tptp.xm)) % 0.52/0.73 (define @t123 () (tptp.szmzizndt0 @t122)) % 0.52/0.73 (define @t124 () (forall @t8 @t60)) % 0.52/0.73 (define @t125 () (tptp.aSet0 tptp.slcrc0)) % 0.52/0.73 (define @t126 () (and @t125 (forall @t8 (not (tptp.aElementOf0 @t5 tptp.slcrc0))))) % 0.52/0.73 (define @t127 () (= tptp.slcrc0 tptp.slcrc0)) % 0.52/0.73 (define @t128 () (= @t127 @t126)) % 0.52/0.73 (define @t129 () (forall @t3 (= @t13 (and @t2 @t124)))) % 0.52/0.73 (define @t130 () (@list false)) % 0.52/0.73 (define @t131 () (not (tptp.isCountable0 tptp.slcrc0))) % 0.52/0.73 (define @t132 () (not @t125)) % 0.52/0.73 (define @t133 () (not @t127)) % 0.52/0.73 (define @t134 () (or @t132 @t131 @t133)) % 0.52/0.73 (define @t135 () (not @t16)) % 0.52/0.73 (define @t136 () (not @t2)) % 0.52/0.73 (define @t137 () (or @t19 @t136 @t135 @t19)) % 0.52/0.73 (define @t138 () (or @t136 @t135 @t19)) % 0.52/0.73 (define @t139 () (not @t66)) % 0.52/0.73 (define @t140 () (not @t67)) % 0.52/0.73 (define @t141 () (not @t72)) % 0.52/0.73 (define @t142 () (not @t63)) % 0.52/0.73 (define @t143 () (or @t142 @t141 @t13 @t70 @t140 @t139 @t65)) % 0.52/0.73 (define @t144 () (or @t140 @t139 @t65)) % 0.52/0.73 (define @t145 () (not @t71)) % 0.52/0.73 (define @t146 () (not @t19)) % 0.52/0.73 (define @t147 () (or @t142 @t141 @t146 @t145)) % 0.52/0.73 (define @t148 () (= @t120 @t123)) % 0.52/0.73 (define @t149 () (tptp.aElementOf0 @t123 tptp.xQ)) % 0.52/0.73 (define @t150 () (not @t149)) % 0.52/0.73 (define @t151 () (tptp.aElementOf0 @t120 @t122)) % 0.52/0.73 (define @t152 () (not @t151)) % 0.52/0.73 (define @t153 () (tptp.aSubsetOf0 @t122 tptp.szNzAzT0)) % 0.52/0.73 (define @t154 () (not @t153)) % 0.52/0.73 (define @t155 () (not @t119)) % 0.52/0.73 (define @t156 () (or @t155 @t154 @t118 (= @t122 tptp.slcrc0) @t152 @t150 @t148)) % 0.52/0.73 (define @t157 () (forall @t31 @t143)) % 0.52/0.73 (define @t158 () (= tptp.slcrc0 @t122)) % 0.52/0.73 (define @t159 () (= tptp.slcrc0 tptp.xQ)) % 0.52/0.73 (define @t160 () (or @t155 @t154 @t159 @t158 @t152 @t150 @t148)) % 0.52/0.73 (define @t161 () (tptp.isCountable0 @t122)) % 0.52/0.73 (define @t162 () (and @t153 @t161)) % 0.52/0.73 (define @t163 () (not @t121)) % 0.52/0.73 (define @t164 () (or @t163 @t162)) % 0.52/0.73 (define @t165 () (not @t162)) % 0.52/0.73 (define @t166 () (@list @t162)) % 0.52/0.73 (assume @p1 (forall @t3 (=> @t2 true))) % 0.52/0.73 (assume @p2 (forall @t3 (=> @t4 true))) % 0.52/0.73 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.52/0.73 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.52/0.73 (assume @p5 @t15) % 0.52/0.73 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.52/0.73 (assume @p7 (forall @t3 (=> @t2 (=> @t16 true)))) % 0.52/0.73 (assume @p8 (forall @t3 (=> @t18 @t17))) % 0.52/0.73 (assume @p9 @t20) % 0.52/0.73 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t26 (and @t25 (forall @t24 (=> @t23 @t22)))))))) % 0.52/0.73 (assume @p11 (forall @t3 (=> @t28 (forall @t8 (=> @t26 @t27))))) % 0.52/0.73 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.52/0.73 (assume @p13 (forall @t31 (=> (and @t2 @t25) (=> (and @t30 @t26) @t29)))) % 0.52/0.73 (assume @p14 (forall @t34 (=> (and @t2 @t25 @t33) (=> (and @t30 @t32) (tptp.aSubsetOf0 @t1 @t21))))) % 0.52/0.73 (assume @p15 (forall @t31 (=> @t42 (forall @t24 (= (= @t21 @t41) (and @t33 (forall @t40 (= @t39 (and @t38 (or @t37 @t36)))))))))) % 0.52/0.73 (assume @p16 (forall @t31 (=> @t42 (forall @t24 (= (= @t21 @t43) (and @t33 (forall @t40 (= @t39 (and @t38 @t37 (not @t36)))))))))) % 0.52/0.73 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t43 @t5) @t1)))))) % 0.52/0.73 (assume @p18 (forall @t31 (=> (and @t4 @t25) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t44 @t1) @t5))))) % 0.52/0.73 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t44)))))) % 0.52/0.73 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t46 (tptp.isCountable0 @t47)))))) % 0.52/0.73 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t44)))))) % 0.52/0.73 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t48 (tptp.isFinite0 @t47)))))) % 0.52/0.73 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.52/0.73 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.52/0.73 (assume @p25 (forall @t3 (=> @t50 (and (tptp.aElementOf0 @t49 tptp.szNzAzT0) (not (= @t49 tptp.sz00)))))) % 0.52/0.73 (assume @p26 (forall @t31 (=> @t53 (=> (= @t49 @t51) @t29)))) % 0.52/0.73 (assume @p27 (forall @t3 (=> @t50 (or @t54 (exists @t8 (and @t52 (= @t1 @t51))))))) % 0.52/0.73 (assume @p28 (forall @t3 (=> @t50 (not (= @t1 @t49))))) % 0.52/0.73 (assume @p29 (forall @t31 (=> @t53 (=> @t55 true)))) % 0.52/0.73 (assume @p30 (forall @t3 (=> @t50 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.52/0.73 (assume @p31 (forall @t3 (=> @t50 (not (tptp.sdtlseqdt0 @t49 tptp.sz00))))) % 0.52/0.73 (assume @p32 (forall @t31 (=> @t53 (= @t55 (tptp.sdtlseqdt0 @t49 @t51))))) % 0.52/0.73 (assume @p33 (forall @t3 (=> @t50 (tptp.sdtlseqdt0 @t1 @t49)))) % 0.52/0.73 (assume @p34 (forall @t3 (=> @t50 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.52/0.73 (assume @p35 (forall @t31 (=> @t53 (=> (and @t55 @t56) @t29)))) % 0.52/0.73 (assume @p36 (forall @t34 (=> (and @t50 @t52 @t58) (=> (and @t55 @t57) (tptp.sdtlseqdt0 @t1 @t21))))) % 0.52/0.73 (assume @p37 (forall @t31 (=> @t53 (or @t55 (tptp.sdtlseqdt0 @t51 @t1))))) % 0.52/0.73 (assume @p38 (forall @t31 (=> @t53 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.52/0.73 (assume @p39 (forall @t3 (=> @t50 (tptp.iLess0 @t1 @t49)))) % 0.52/0.73 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t59)))) % 0.52/0.73 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t59 tptp.szNzAzT0) @t9)))) % 0.52/0.73 (assume @p42 (forall @t3 (=> @t2 (= (= @t59 tptp.sz00) @t13)))) % 0.52/0.73 (assume @p43 (forall @t3 (=> @t28 (forall @t8 (=> @t6 (=> @t60 (= (tptp.sbrdtbr0 @t41) (tptp.szszuzczcdt0 @t59)))))))) % 0.52/0.73 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t43)) @t59)))))) % 0.52/0.73 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t26) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t59)))))) % 0.52/0.73 (assume @p46 (forall @t31 (=> @t61 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t59)) (exists @t24 (and (tptp.aSubsetOf0 @t21 @t1) (= (tptp.sbrdtbr0 @t21) @t5))))))) % 0.52/0.73 (assume @p47 (forall @t3 (=> (and @t63 @t19) (forall @t8 (= (= @t5 @t62) (and @t7 (forall @t24 (=> @t22 @t57)))))))) % 0.52/0.73 (assume @p48 (forall @t3 (=> (and @t63 @t9 @t19) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t24 (=> @t22 (tptp.sdtlseqdt0 @t21 @t5))))))))) % 0.52/0.73 (assume @p49 @t74) % 0.52/0.73 (assume @p50 (forall @t3 (=> @t50 (forall @t8 (= (= @t5 @t75) (and @t25 (forall @t24 (= @t23 (and @t58 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t21) @t1)))))))))) % 0.52/0.73 (assume @p51 (forall @t3 (=> @t50 (tptp.isFinite0 @t75)))) % 0.52/0.73 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.52/0.73 (assume @p53 (forall @t31 (=> @t53 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t51)) (or (tptp.aElementOf0 @t1 @t76) @t29))))) % 0.52/0.73 (assume @p54 (forall @t31 (=> @t53 (= @t55 (tptp.aSubsetOf0 @t75 @t76))))) % 0.52/0.73 (assume @p55 (forall @t3 (=> (and @t63 @t9) (exists @t8 (and @t52 (tptp.aSubsetOf0 @t1 @t76)))))) % 0.52/0.73 (assume @p56 (forall @t3 (=> @t50 (= (tptp.sbrdtbr0 @t75) @t1)))) % 0.52/0.73 (assume @p57 (forall @t31 (=> @t61 (forall @t24 (= (= @t21 @t78) (and @t33 (forall @t40 (= @t39 (and @t77 (= (tptp.sbrdtbr0 @t35) @t5)))))))))) % 0.52/0.73 (assume @p58 (forall @t3 (=> @t28 (forall @t8 (=> @t52 (tptp.isFinite0 @t78)))))) % 0.52/0.73 (assume @p59 (forall @t3 (=> (and @t2 @t17) (forall @t8 (=> @t52 (not (= @t78 tptp.slcrc0))))))) % 0.52/0.73 (assume @p60 (forall @t3 (=> @t18 (forall @t8 (=> (and @t52 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t78)))))) % 0.52/0.73 (assume @p61 (forall @t3 (=> @t50 (forall (@list @t5 @t21) (=> (and @t25 @t33 (not @t54)) (=> (and (tptp.aSubsetOf0 @t79 (tptp.slbdtsldtrb0 @t21 @t1)) (not (= @t79 tptp.slcrc0))) @t32)))))) % 0.52/0.73 (assume @p62 (forall @t31 (=> @t61 (forall @t24 (=> (and (tptp.aSubsetOf0 @t21 @t78) (tptp.isFinite0 @t21)) (exists @t40 (and @t77 (tptp.isFinite0 @t35) (tptp.aSubsetOf0 @t21 (tptp.slbdtsldtrb0 @t35 @t5))))))))) % 0.52/0.73 (assume @p63 (forall @t3 (=> @t80 true))) % 0.52/0.73 (assume @p64 (forall @t3 (=> @t80 (tptp.aSet0 @t81)))) % 0.52/0.73 (assume @p65 (forall @t3 (=> @t80 (forall @t8 (=> @t83 (tptp.aElement0 @t82)))))) % 0.52/0.73 (assume @p66 (forall @t31 (=> @t87 (forall @t24 (= (= @t21 @t86) (and @t33 (forall @t40 (= @t39 (and @t85 (= @t84 @t5)))))))))) % 0.52/0.73 (assume @p67 (forall @t31 (=> @t87 (tptp.aSubsetOf0 @t86 @t81)))) % 0.52/0.73 (assume @p68 (forall @t3 (=> @t80 (forall @t8 (=> @t91 (forall @t24 (= (= @t21 @t90) (and @t33 (forall @t40 (= @t39 (exists @t89 (and (tptp.aElementOf0 @t88 @t5) (= (tptp.sdtlpdtrp0 @t1 @t88) @t35))))))))))))) % 0.52/0.73 (assume @p69 (forall @t3 (=> @t80 (forall @t8 (=> @t83 (tptp.aElementOf0 @t82 @t92)))))) % 0.52/0.73 (assume @p70 (forall @t3 (=> @t80 (forall @t8 (=> @t91 (forall @t24 (= (= @t21 (tptp.sdtexdt0 @t1 @t5)) (and @t94 (= @t93 @t5) (forall @t40 (=> (tptp.aElementOf0 @t35 @t5) (= (tptp.sdtlpdtrp0 @t21 @t35) @t84))))))))))) % 0.52/0.73 (assume @p71 (forall @t3 (=> @t80 (forall @t8 (=> (and @t91 @t45) (=> (forall (@list @t21 @t35) (=> (and (tptp.aElementOf0 @t21 @t81) @t85 (not (= @t21 @t35))) (not (= (tptp.sdtlpdtrp0 @t1 @t21) @t84)))) (tptp.isCountable0 @t90))))))) % 0.52/0.73 (assume @p72 (forall @t3 (=> @t80 (=> (and (tptp.isCountable0 @t81) (tptp.isFinite0 @t92)) (and (tptp.aElement0 @t95) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t95))))))) % 0.52/0.73 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.52/0.73 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.52/0.73 (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 0.52/0.73 (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t96 @t97) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t96) tptp.xT))) % 0.52/0.73 (assume @p77 (forall @t3 (=> @t50 (forall @t8 (=> (and @t72 @t45) (forall @t24 (=> (and @t94 (= @t93 @t79) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t21 @t93) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t40 (and (tptp.aElementOf0 @t35 tptp.xT) (exists @t89 (and (tptp.aSubsetOf0 @t88 @t5) (tptp.isCountable0 @t88) (forall (@list @t98) (=> (tptp.aElementOf0 @t98 (tptp.slbdtsldtrb0 @t88 @t1)) (= (tptp.sdtlpdtrp0 @t21 @t98) @t35))))))))))))))) % 0.52/0.73 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.52/0.73 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.52/0.73 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t50 (=> @t103 (and (tptp.aSubsetOf0 @t99 @t102) (tptp.isCountable0 @t99))))))) % 0.52/0.73 (assume @p81 @t104) % 0.52/0.73 (assume @p82 (forall @t31 (=> @t53 (=> @t56 (tptp.aSubsetOf0 @t100 @t105))))) % 0.52/0.73 (assume @p83 (forall @t31 (=> (and @t50 @t52 (not @t29)) (not (= @t101 (tptp.szmzizndt0 @t105)))))) % 0.52/0.73 (assume @p84 (forall @t3 (=> @t50 (forall @t8 (=> @t108 (tptp.aElementOf0 @t106 @t97)))))) % 0.52/0.73 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t50 (and (tptp.aFunction0 @t109) (= @t111 @t107) (forall @t8 (=> @t108 (= @t110 (tptp.sdtlpdtrp0 tptp.xc @t106))))))))) % 0.52/0.73 (assume @p86 (forall @t3 (=> @t50 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t109 @t111) tptp.xT)))) % 0.52/0.73 (assume @p87 (forall @t3 (=> @t50 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t102) @t45) (forall @t24 (=> (and @t33 (tptp.aElementOf0 @t21 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t21 @t107)))))))) % 0.52/0.73 (assume @p88 (forall @t3 (=> @t50 (exists @t8 (and @t112 (exists @t24 (and (tptp.aSubsetOf0 @t21 @t102) (tptp.isCountable0 @t21) (forall @t40 (=> (and (tptp.aSet0 @t35) (tptp.aElementOf0 @t35 (tptp.slbdtsldtrb0 @t21 tptp.xk))) (= (tptp.sdtlpdtrp0 @t109 @t35) @t5)))))))))) % 0.52/0.73 (assume @p89 (forall @t3 (=> @t50 (exists @t8 (and @t112 (forall @t24 (=> (and @t33 (tptp.aElementOf0 @t21 @t113)) (= (tptp.sdtlpdtrp0 @t109 @t21) @t5)))))))) % 0.52/0.73 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t50 (= (tptp.sdtlpdtrp0 tptp.xe @t1) @t101))))) % 0.52/0.73 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t114 tptp.szNzAzT0) (forall @t3 (=> @t50 (forall @t8 (=> (and @t25 (tptp.aElementOf0 @t5 @t113)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t110))))))) % 0.52/0.73 (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t114) tptp.xT)) % 0.52/0.73 (assume @p93 (and (tptp.aElementOf0 @t115 tptp.xT) (tptp.isCountable0 @t116))) % 0.52/0.73 (assume @p94 (and @t117 (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t116)))) % 0.52/0.73 (assume @p95 (and @t117 (tptp.isCountable0 tptp.xO))) % 0.52/0.73 (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t52 (tptp.aElementOf0 @t5 @t116) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)))))) % 0.52/0.73 (assume @p97 (tptp.aSubsetOf0 tptp.xO tptp.xS)) % 0.52/0.73 (assume @p98 (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK))) % 0.52/0.73 (assume @p99 (and (tptp.aSubsetOf0 tptp.xQ tptp.xO) (not @t118))) % 0.52/0.73 (assume @p100 @t119) % 0.52/0.73 (assume @p101 (tptp.aElementOf0 tptp.xQ @t96)) % 0.52/0.73 (assume @p102 (= tptp.xp @t120)) % 0.52/0.73 (assume @p103 (and (tptp.aSet0 tptp.xP) (= tptp.xP (tptp.sdtmndt0 tptp.xQ @t120)))) % 0.52/0.73 (assume @p104 (tptp.aElementOf0 tptp.xp tptp.xQ)) % 0.52/0.73 (assume @p105 (tptp.aElementOf0 tptp.xp tptp.xO)) % 0.52/0.73 (assume @p106 (tptp.aSubsetOf0 tptp.xP tptp.xQ)) % 0.52/0.73 (assume @p107 (tptp.aSubsetOf0 tptp.xP tptp.xO)) % 0.52/0.73 (assume @p108 (= (tptp.sbrdtbr0 tptp.xP) tptp.xk)) % 0.52/0.73 (assume @p109 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk))) % 0.52/0.73 (assume @p110 (and (tptp.aElementOf0 tptp.xn @t116) (tptp.aElementOf0 tptp.xn tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xe tptp.xn) tptp.xp))) % 0.52/0.73 (assume @p111 (= (tptp.sdtlpdtrp0 tptp.xd tptp.xn) @t115)) % 0.52/0.73 (assume @p112 (tptp.aElementOf0 tptp.xx tptp.xP)) % 0.52/0.73 (assume @p113 (and (tptp.aElementOf0 tptp.xx tptp.szNzAzT0) (tptp.aElementOf0 tptp.xx tptp.xO))) % 0.52/0.73 (assume @p114 (and @t121 (= tptp.xx (tptp.sdtlpdtrp0 tptp.xe tptp.xm)))) % 0.52/0.73 (assume @p115 (= tptp.xx @t123)) % 0.52/0.73 (assume @p116 (not (tptp.aSubsetOf0 @t122 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn))))) % 0.52/0.73 (assume @p117 (tptp.aSubsetOf0 (tptp.sdtlpdtrp0 tptp.xN tptp.xn) @t122)) % 0.52/0.73 (assume @p118 (and (tptp.aElementOf0 tptp.xp @t122) (tptp.aElementOf0 tptp.xx tptp.xQ))) % 0.52/0.73 (assume @p119 (not (= tptp.xp tptp.xx))) % 0.52/0.73 (assume @p120 true) % 0.52/0.73 (step @p121 :rule evaluate :args ((= true false))) % 0.52/0.73 (step @p122 :rule bool-double-not-elim :args (@t124)) % 0.52/0.73 (step @p123 :rule exists-elim :args ((= @t10 (not @t124)))) % 0.52/0.73 (step @p124 :rule cong :premises (@p123) :args (@t11)) % 0.52/0.73 (step @p125 :rule trans :premises (@p124 @p122)) % 0.52/0.73 (step @p126 :rule refl :args (@t2)) % 0.52/0.73 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t12)) % 0.52/0.73 (step @p128 :rule refl :args (@t13)) % 0.52/0.73 (step @p129 :rule cong :premises (@p128 @p127) :args (@t14)) % 0.52/0.73 (step @p130 :rule cong :premises (@p129) :args (@t15)) % 0.52/0.73 (step @p131 :rule eq_resolve :premises (@p5 @p130)) % 0.52/0.73 (step @p132 :rule bool-eq-true :args (@t126)) % 0.52/0.73 (step @p133 :rule eq-symm :args (true @t126)) % 0.52/0.73 (step @p134 :rule trans :premises (@p133 @p132)) % 0.52/0.73 (step @p135 :rule refl :args (@t126)) % 0.52/0.73 (step @p136 :rule eq-refl :args (tptp.slcrc0)) % 0.52/0.73 (step @p137 :rule cong :premises (@p136 @p135) :args (@t128)) % 0.52/0.73 (step @p138 :rule trans :premises (@p137 @p134)) % 0.52/0.73 (step @p139 :rule refl :args (@t129)) % 0.52/0.73 (step @p140 :rule cong :premises (@p139 @p138) :args ((=> @t129 @t128))) % 0.52/0.73 (assume-push @p265 @t129) % 0.52/0.73 (step @p142 :rule instantiate :premises (@p131) :args ((@list tptp.slcrc0))) % 0.52/0.73 (step-pop @p266 :rule scope :premises (@p142)) % 0.52/0.73 (step @p143 :rule process_scope :premises (@p266) :args (@t128)) % 0.52/0.73 (step @p145 :rule eq_resolve :premises (@p143 @p140)) % 0.52/0.73 (step @p146 :rule implies_elim :premises (@p145)) % 0.52/0.73 (step @p147 :rule chain_m_resolution :premises (@p146 @p131) :args (@t126 @t130 (@list @t129))) % 0.52/0.73 (step @p148 :rule cnf_and_pos :args (@t126 0)) % 0.52/0.73 (step @p149 :rule reordering :premises (@p148) :args ((or @t125 (not @t126)))) % 0.52/0.73 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t125 @t130 (@list @t126))) % 0.52/0.73 (step @p151 :rule aci_norm :args ((= (or @t132 @t131 false) (or @t132 @t131)))) % 0.52/0.73 (step @p152 :rule evaluate :args ((not true))) % 0.52/0.73 (step @p153 :rule cong :premises (@p136) :args (@t133)) % 0.52/0.73 (step @p154 :rule trans :premises (@p153 @p152)) % 0.52/0.73 (step @p155 :rule refl :args (@t131)) % 0.52/0.73 (step @p156 :rule refl :args (@t132)) % 0.52/0.73 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154) :args (@t134)) % 0.52/0.73 (step @p158 :rule trans :premises (@p157 @p151)) % 0.52/0.73 (step @p159 :rule quant-var-elim-eq :args ((= (forall @t3 @t137) @t134))) % 0.52/0.73 (step @p160 :rule aci_norm :args ((= @t138 @t137))) % 0.52/0.73 (step @p161 :rule cong :premises (@p160) :args ((forall @t3 @t138))) % 0.52/0.73 (step @p162 :rule trans :premises (@p161 @p159)) % 0.52/0.73 (step @p163 :rule trans :premises (@p162 @p158)) % 0.52/0.73 (step @p164 :rule aci_norm :args ((= (or (or @t136 @t135) @t19) @t138))) % 0.52/0.73 (step @p165 :rule refl :args (@t19)) % 0.52/0.73 (step @p166 :rule bool-and-de-morgan :args (@t2 @t16 true)) % 0.52/0.73 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or (not @t18) @t19))) % 0.52/0.73 (step @p168 :rule trans :premises (@p167 @p164)) % 0.52/0.73 (step @p169 :rule bool-impl-elim :args (@t18 @t19)) % 0.52/0.73 (step @p170 :rule trans :premises (@p169 @p168)) % 0.52/0.73 (step @p171 :rule cong :premises (@p170) :args (@t20)) % 0.52/0.73 (step @p172 :rule trans :premises (@p171 @p163)) % 0.52/0.73 (step @p173 :rule eq_resolve :premises (@p9 @p172)) % 0.52/0.73 (step @p174 :rule chain_m_resolution :premises (@p173 @p150) :args (@t131 @t130 (@list @t125))) % 0.52/0.73 (step @p175 :rule false_intro :premises (@p174)) % 0.52/0.73 (step @p176 :rule aci_norm :args ((= (or (or @t142 @t141 @t13 @t70) @t144) @t143))) % 0.52/0.73 (step @p177 :rule aci_norm :args ((= (or (or @t140 @t139) @t65) @t144))) % 0.52/0.73 (step @p178 :rule refl :args (@t65)) % 0.52/0.73 (step @p179 :rule bool-and-de-morgan :args (@t67 @t66 true)) % 0.52/0.73 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or (not @t68) @t65))) % 0.52/0.73 (step @p181 :rule trans :premises (@p180 @p177)) % 0.52/0.73 (step @p182 :rule bool-impl-elim :args (@t68 @t65)) % 0.52/0.73 (step @p183 :rule trans :premises (@p182 @p181)) % 0.52/0.73 (step @p184 :rule bool-double-not-elim :args (@t70)) % 0.52/0.73 (step @p185 :rule bool-double-not-elim :args (@t13)) % 0.52/0.73 (step @p186 :rule refl :args (@t141)) % 0.52/0.73 (step @p187 :rule refl :args (@t142)) % 0.52/0.73 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185 @p184) :args (@t147)) % 0.52/0.73 (step @p189 :rule aci_norm :args ((= (or @t142 (or @t141 (or @t146 @t145))) @t147))) % 0.52/0.73 (step @p190 :rule trans :premises (@p189 @p188)) % 0.52/0.73 (step @p191 :rule bool-and-de-morgan :args (@t19 @t71 true)) % 0.52/0.73 (step @p192 :rule nary_cong :premises (@p186 @p191) :args ((or @t141 (not (and @t19 @t71))))) % 0.52/0.73 (step @p193 :rule bool-and-de-morgan :args (@t72 @t19 (and @t71))) % 0.52/0.73 (step @p194 :rule trans :premises (@p193 @p192)) % 0.52/0.73 (step @p195 :rule nary_cong :premises (@p187 @p194) :args ((or @t142 (not (and @t72 @t19 @t71))))) % 0.52/0.73 (step @p196 :rule bool-and-de-morgan :args (@t63 @t72 (and @t19 @t71))) % 0.52/0.73 (step @p197 :rule trans :premises (@p196 @p195)) % 0.52/0.73 (step @p198 :rule trans :premises (@p197 @p190)) % 0.52/0.73 (step @p199 :rule nary_cong :premises (@p198 @p183) :args ((or (not @t73) @t69))) % 0.52/0.73 (step @p200 :rule trans :premises (@p199 @p176)) % 0.52/0.73 (step @p201 :rule bool-impl-elim :args (@t73 @t69)) % 0.52/0.73 (step @p202 :rule trans :premises (@p201 @p200)) % 0.52/0.73 (step @p203 :rule cong :premises (@p202) :args (@t74)) % 0.52/0.73 (step @p204 :rule eq_resolve :premises (@p49 @p203)) % 0.52/0.73 (step @p205 :rule refl :args (@t148)) % 0.52/0.73 (step @p206 :rule refl :args (@t150)) % 0.52/0.73 (step @p207 :rule refl :args (@t152)) % 0.52/0.73 (step @p208 :rule eq-symm :args (@t122 tptp.slcrc0)) % 0.52/0.73 (step @p209 :rule eq-symm :args (tptp.xQ tptp.slcrc0)) % 0.52/0.73 (step @p210 :rule refl :args (@t154)) % 0.52/0.73 (step @p211 :rule refl :args (@t155)) % 0.52/0.73 (step @p212 :rule nary_cong :premises (@p211 @p210 @p209 @p208 @p207 @p206 @p205) :args (@t156)) % 0.52/0.73 (step @p213 :rule refl :args (@t157)) % 0.52/0.73 (step @p214 :rule cong :premises (@p213 @p212) :args ((=> @t157 @t156))) % 0.52/0.73 (assume-push @p267 @t157) % 0.52/0.73 (step @p216 :rule instantiate :premises (@p204) :args ((@list tptp.xQ @t122))) % 0.52/0.73 (step-pop @p268 :rule scope :premises (@p216)) % 0.52/0.73 (step @p217 :rule process_scope :premises (@p268) :args (@t156)) % 0.52/0.73 (step @p219 :rule eq_resolve :premises (@p217 @p214)) % 0.52/0.73 (step @p220 :rule implies_elim :premises (@p219)) % 0.52/0.73 (step @p221 :rule chain_m_resolution :premises (@p220 @p204) :args (@t160 @t130 (@list @t157))) % 0.52/0.73 (step @p222 :rule false_intro :premises (@p119)) % 0.52/0.73 (step @p223 :rule symm :premises (@p115)) % 0.52/0.73 (step @p224 :rule symm :premises (@p102)) % 0.52/0.73 (step @p225 :rule cong :premises (@p224 @p223) :args (@t148)) % 0.52/0.73 (step @p226 :rule trans :premises (@p225 @p222)) % 0.52/0.73 (step @p227 :rule false_elim :premises (@p226)) % 0.52/0.73 (step @p228 :rule and_elim :premises (@p118) :args (1)) % 0.52/0.73 (step @p229 :rule true_intro :premises (@p228)) % 0.52/0.73 (step @p230 :rule refl :args (tptp.xQ)) % 0.52/0.73 (step @p231 :rule cong :premises (@p223 @p230) :args (@t149)) % 0.52/0.73 (step @p232 :rule trans :premises (@p231 @p229)) % 0.52/0.73 (step @p233 :rule true_elim :premises (@p232)) % 0.52/0.73 (step @p234 :rule and_elim :premises (@p118) :args (0)) % 0.52/0.73 (step @p235 :rule true_intro :premises (@p234)) % 0.52/0.73 (step @p236 :rule refl :args (@t122)) % 0.52/0.73 (step @p237 :rule cong :premises (@p224 @p236) :args (@t151)) % 0.52/0.73 (step @p238 :rule trans :premises (@p237 @p235)) % 0.52/0.73 (step @p239 :rule true_elim :premises (@p238)) % 0.52/0.73 (step @p240 :rule bool-impl-elim :args (@t50 @t103)) % 0.52/0.73 (step @p241 :rule cong :premises (@p240) :args (@t104)) % 0.52/0.73 (step @p242 :rule eq_resolve :premises (@p81 @p241)) % 0.52/0.73 (step @p243 :rule instantiate :premises (@p242) :args ((@list tptp.xm))) % 0.52/0.73 (step @p244 :rule and_elim :premises (@p114) :args (0)) % 0.52/0.73 (step @p245 :rule cnf_or_pos :args (@t164)) % 0.52/0.73 (step @p246 :rule reordering :premises (@p245) :args ((or @t163 @t162 (not @t164)))) % 0.52/0.73 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p243) :args (@t162 (@list false false) (@list @t121 @t164))) % 0.52/0.73 (step @p248 :rule cnf_and_pos :args (@t162 0)) % 0.52/0.73 (step @p249 :rule reordering :premises (@p248) :args ((or @t153 @t165))) % 0.52/0.73 (step @p250 :rule chain_m_resolution :premises (@p249 @p247) :args (@t153 @t130 @t166)) % 0.52/0.73 (step @p251 :rule and_elim :premises (@p99) :args (1)) % 0.52/0.73 (step @p252 :rule symm :premises (@p251)) % 0.52/0.73 (step @p253 :rule cnf_or_pos :args (@t160)) % 0.52/0.73 (step @p254 :rule reordering :premises (@p253) :args ((or @t159 @t155 @t154 @t158 @t152 @t150 @t148 (not @t160)))) % 0.52/0.73 (step @p255 :rule chain_m_resolution :premises (@p254 @p252 @p100 @p250 @p239 @p233 @p227 @p221) :args (@t158 (@list true false false false false true false) (@list @t159 @t119 @t153 @t151 @t149 @t148 @t160))) % 0.52/0.73 (step @p256 :rule symm :premises (@p255)) % 0.52/0.73 (step @p257 :rule cong :premises (@p256) :args (@t161)) % 0.52/0.73 (step @p258 :rule cnf_and_pos :args (@t162 1)) % 0.52/0.73 (step @p259 :rule reordering :premises (@p258) :args ((or @t161 @t165))) % 0.52/0.73 (step @p260 :rule chain_m_resolution :premises (@p259 @p247) :args (@t161 @t130 @t166)) % 0.52/0.73 (step @p261 :rule true_intro :premises (@p260)) % 0.52/0.73 (step @p262 :rule symm :premises (@p261)) % 0.52/0.73 (step @p263 :rule trans :premises (@p262 @p257 @p175)) % 0.52/0.73 (step @p264 false :rule eq_resolve :premises (@p263 @p121)) % 0.52/0.73 ) % 0.52/0.73 % SZS output end Proof % 0.52/0.73 % cvc5 exiting %------------------------------------------------------------------------------