%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM603+3 : 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 : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:59 AM UTC 2026 % Result : Theorem 0.36s 0.74s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM603+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 11:36:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.74 % SZS status Theorem % 0.36/0.74 % SZS output start Proof % 0.36/0.74 ( % 0.36/0.74 (declare-sort $$unsorted 0) % 0.36/0.74 (declare-const tptp.xN $$unsorted) % 0.36/0.74 (declare-const tptp.sz00 $$unsorted) % 0.36/0.74 (declare-const tptp.xC $$unsorted) % 0.36/0.74 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.szNzAzT0 $$unsorted) % 0.36/0.74 (declare-const tptp.xk $$unsorted) % 0.36/0.74 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.xx $$unsorted) % 0.36/0.74 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.xi $$unsorted) % 0.36/0.74 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.xd $$unsorted) % 0.36/0.74 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.xO $$unsorted) % 0.36/0.74 (declare-const tptp.xe $$unsorted) % 0.36/0.74 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.xK $$unsorted) % 0.36/0.74 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.xT $$unsorted) % 0.36/0.74 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.xS $$unsorted) % 0.36/0.74 (declare-const tptp.xc $$unsorted) % 0.36/0.74 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.slcrc0 $$unsorted) % 0.36/0.74 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (define @t1 () (@var "W0" $$unsorted)) % 0.36/0.74 (define @t2 () (tptp.aSet0 @t1)) % 0.36/0.74 (define @t3 () (@list @t1)) % 0.36/0.74 (define @t4 () (tptp.aElement0 @t1)) % 0.36/0.74 (define @t5 () (@var "W1" $$unsorted)) % 0.36/0.74 (define @t6 () (tptp.aElement0 @t5)) % 0.36/0.74 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.36/0.74 (define @t8 () (@list @t5)) % 0.36/0.74 (define @t9 () (tptp.isFinite0 @t1)) % 0.36/0.74 (define @t10 () (= @t1 tptp.slcrc0)) % 0.36/0.74 (define @t11 () (tptp.isCountable0 @t1)) % 0.36/0.74 (define @t12 () (not @t9)) % 0.36/0.74 (define @t13 () (and @t2 @t11)) % 0.36/0.74 (define @t14 () (not @t10)) % 0.36/0.74 (define @t15 () (@var "W2" $$unsorted)) % 0.36/0.74 (define @t16 () (tptp.aElementOf0 @t15 @t1)) % 0.36/0.74 (define @t17 () (tptp.aElementOf0 @t15 @t5)) % 0.36/0.74 (define @t18 () (@list @t15)) % 0.36/0.74 (define @t19 () (tptp.aSet0 @t5)) % 0.36/0.74 (define @t20 () (tptp.aSubsetOf0 @t5 @t1)) % 0.36/0.74 (define @t21 () (tptp.isFinite0 @t5)) % 0.36/0.74 (define @t22 () (and @t2 @t9)) % 0.36/0.74 (define @t23 () (= @t1 @t5)) % 0.36/0.74 (define @t24 () (tptp.aSubsetOf0 @t1 @t5)) % 0.36/0.74 (define @t25 () (@list @t1 @t5)) % 0.36/0.74 (define @t26 () (tptp.aSubsetOf0 @t5 @t15)) % 0.36/0.74 (define @t27 () (tptp.aSet0 @t15)) % 0.36/0.74 (define @t28 () (@list @t1 @t5 @t15)) % 0.36/0.74 (define @t29 () (@var "W3" $$unsorted)) % 0.36/0.74 (define @t30 () (= @t29 @t5)) % 0.36/0.74 (define @t31 () (tptp.aElementOf0 @t29 @t1)) % 0.36/0.74 (define @t32 () (tptp.aElement0 @t29)) % 0.36/0.74 (define @t33 () (tptp.aElementOf0 @t29 @t15)) % 0.36/0.74 (define @t34 () (@list @t29)) % 0.36/0.74 (define @t35 () (tptp.sdtpldt0 @t1 @t5)) % 0.36/0.74 (define @t36 () (and @t2 @t6)) % 0.36/0.74 (define @t37 () (tptp.sdtmndt0 @t1 @t5)) % 0.36/0.74 (define @t38 () (tptp.sdtpldt0 @t5 @t1)) % 0.36/0.74 (define @t39 () (tptp.isCountable0 @t5)) % 0.36/0.74 (define @t40 () (and @t19 @t39)) % 0.36/0.74 (define @t41 () (tptp.sdtmndt0 @t5 @t1)) % 0.36/0.74 (define @t42 () (and @t19 @t21)) % 0.36/0.74 (define @t43 () (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.36/0.74 (define @t44 () (tptp.szszuzczcdt0 @t1)) % 0.36/0.74 (define @t45 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.36/0.74 (define @t46 () (tptp.szszuzczcdt0 @t5)) % 0.36/0.74 (define @t47 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.36/0.74 (define @t48 () (and @t45 @t47)) % 0.36/0.74 (define @t49 () (= @t1 tptp.sz00)) % 0.36/0.74 (define @t50 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.36/0.74 (define @t51 () (tptp.sdtlseqdt0 tptp.sz00 @t1)) % 0.36/0.74 (define @t52 () (forall @t3 (=> @t45 @t51))) % 0.36/0.74 (define @t53 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.36/0.74 (define @t54 () (tptp.sdtlseqdt0 @t5 @t15)) % 0.36/0.74 (define @t55 () (tptp.aElementOf0 @t15 tptp.szNzAzT0)) % 0.36/0.74 (define @t56 () (tptp.sbrdtbr0 @t1)) % 0.36/0.74 (define @t57 () (tptp.sbrdtbr0 @t5)) % 0.36/0.74 (define @t58 () (tptp.sbrdtbr0 @t15)) % 0.36/0.74 (define @t59 () (and @t2 @t47)) % 0.36/0.74 (define @t60 () (tptp.szmzizndt0 @t1)) % 0.36/0.74 (define @t61 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.36/0.74 (define @t62 () (tptp.szmzizndt0 @t5)) % 0.36/0.74 (define @t63 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0)) % 0.36/0.74 (define @t64 () (tptp.slbdtrb0 @t1)) % 0.36/0.74 (define @t65 () (tptp.slbdtrb0 @t5)) % 0.36/0.74 (define @t66 () (tptp.sbrdtbr0 @t29)) % 0.36/0.74 (define @t67 () (tptp.aSubsetOf0 @t29 @t1)) % 0.36/0.74 (define @t68 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.36/0.74 (define @t69 () (tptp.slbdtsldtrb0 @t5 @t1)) % 0.36/0.74 (define @t70 () (tptp.aFunction0 @t1)) % 0.36/0.74 (define @t71 () (tptp.szDzozmdt0 @t1)) % 0.36/0.74 (define @t72 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.36/0.74 (define @t73 () (tptp.aElementOf0 @t5 @t71)) % 0.36/0.74 (define @t74 () (tptp.sdtlpdtrp0 @t1 @t29)) % 0.36/0.74 (define @t75 () (tptp.aElementOf0 @t29 @t71)) % 0.36/0.74 (define @t76 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.36/0.74 (define @t77 () (and @t70 @t6)) % 0.36/0.74 (define @t78 () (@var "W4" $$unsorted)) % 0.36/0.74 (define @t79 () (tptp.aElementOf0 @t78 @t5)) % 0.36/0.74 (define @t80 () (@list @t78)) % 0.36/0.74 (define @t81 () (tptp.sdtlcdtrc0 @t1 @t5)) % 0.36/0.74 (define @t82 () (tptp.aSubsetOf0 @t5 @t71)) % 0.36/0.74 (define @t83 () (tptp.sdtlcdtrc0 @t1 @t71)) % 0.36/0.74 (define @t84 () (tptp.aElementOf0 @t29 @t5)) % 0.36/0.74 (define @t85 () (tptp.szDzozmdt0 @t15)) % 0.36/0.74 (define @t86 () (tptp.aFunction0 @t15)) % 0.36/0.74 (define @t87 () (tptp.szDzizrdt0 @t1)) % 0.36/0.74 (define @t88 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.36/0.74 (define @t89 () (tptp.szDzozmdt0 tptp.xc)) % 0.36/0.74 (define @t90 () (tptp.sdtlcdtrc0 tptp.xc @t89)) % 0.36/0.74 (define @t91 () (tptp.aElementOf0 @t1 tptp.xT)) % 0.36/0.74 (define @t92 () (tptp.aElementOf0 @t1 @t90)) % 0.36/0.74 (define @t93 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) % 0.36/0.74 (define @t94 () (tptp.aElementOf0 @t1 @t89)) % 0.36/0.74 (define @t95 () (= @t56 tptp.xK)) % 0.36/0.74 (define @t96 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.36/0.74 (define @t97 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.36/0.74 (define @t98 () (@var "W5" $$unsorted)) % 0.36/0.74 (define @t99 () (@var "W6" $$unsorted)) % 0.36/0.74 (define @t100 () (@list @t98)) % 0.36/0.74 (define @t101 () (tptp.aElementOf0 @t29 tptp.xT)) % 0.36/0.74 (define @t102 () (tptp.sdtlcdtrc0 @t15 @t85)) % 0.36/0.74 (define @t103 () (tptp.aElementOf0 @t29 @t102)) % 0.36/0.74 (define @t104 () (tptp.aElementOf0 @t29 @t85)) % 0.36/0.74 (define @t105 () (= @t66 @t1)) % 0.36/0.74 (define @t106 () (tptp.aSubsetOf0 @t29 @t5)) % 0.36/0.74 (define @t107 () (tptp.aElementOf0 @t78 @t29)) % 0.36/0.74 (define @t108 () (forall @t80 (=> @t107 @t79))) % 0.36/0.74 (define @t109 () (tptp.aSet0 @t29)) % 0.36/0.74 (define @t110 () (tptp.sdtlpdtrp0 tptp.xN @t44)) % 0.36/0.74 (define @t111 () (tptp.sdtlpdtrp0 tptp.xN @t1)) % 0.36/0.74 (define @t112 () (tptp.szmzizndt0 @t111)) % 0.36/0.74 (define @t113 () (tptp.sdtmndt0 @t111 @t112)) % 0.36/0.74 (define @t114 () (tptp.aElementOf0 @t5 @t113)) % 0.36/0.74 (define @t115 () (tptp.aElementOf0 @t5 @t111)) % 0.36/0.74 (define @t116 () (forall @t8 (= @t114 (and @t6 @t115 (not (= @t5 @t112)))))) % 0.36/0.74 (define @t117 () (tptp.aSet0 @t113)) % 0.36/0.74 (define @t118 () (forall @t8 (=> @t115 (tptp.sdtlseqdt0 @t112 @t5)))) % 0.36/0.74 (define @t119 () (tptp.aElementOf0 @t112 @t111)) % 0.36/0.74 (define @t120 () (tptp.isCountable0 @t111)) % 0.36/0.74 (define @t121 () (tptp.aSubsetOf0 @t111 tptp.szNzAzT0)) % 0.36/0.74 (define @t122 () (forall @t8 (=> @t115 @t47))) % 0.36/0.74 (define @t123 () (tptp.aSet0 @t111)) % 0.36/0.74 (define @t124 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)) % 0.36/0.74 (define @t125 () (tptp.sdtlpdtrp0 tptp.xN @t5)) % 0.36/0.74 (define @t126 () (tptp.aSubsetOf0 @t111 @t125)) % 0.36/0.74 (define @t127 () (tptp.aElementOf0 @t15 @t125)) % 0.36/0.74 (define @t128 () (tptp.aElementOf0 @t15 @t111)) % 0.36/0.74 (define @t129 () (forall @t18 (=> @t128 @t127))) % 0.36/0.74 (define @t130 () (and @t129 @t126)) % 0.36/0.74 (define @t131 () (=> @t53 @t130)) % 0.36/0.74 (define @t132 () (=> @t48 @t131)) % 0.36/0.74 (define @t133 () (forall @t25 @t132)) % 0.36/0.74 (define @t134 () (tptp.sdtlseqdt0 @t112 @t15)) % 0.36/0.74 (define @t135 () (forall @t18 (=> @t128 @t134))) % 0.36/0.74 (define @t136 () (and @t119 @t135)) % 0.36/0.74 (define @t137 () (tptp.sdtpldt0 @t5 @t112)) % 0.36/0.74 (define @t138 () (tptp.aElementOf0 @t15 @t137)) % 0.36/0.74 (define @t139 () (= @t15 @t112)) % 0.36/0.74 (define @t140 () (tptp.aElement0 @t15)) % 0.36/0.74 (define @t141 () (forall @t18 (= @t138 (and @t140 (or @t17 @t139))))) % 0.36/0.74 (define @t142 () (tptp.slbdtsldtrb0 @t113 tptp.xk)) % 0.36/0.74 (define @t143 () (= @t57 tptp.xk)) % 0.36/0.74 (define @t144 () (tptp.aSubsetOf0 @t5 @t113)) % 0.36/0.74 (define @t145 () (tptp.aElementOf0 @t15 @t113)) % 0.36/0.74 (define @t146 () (forall @t18 (=> @t17 @t145))) % 0.36/0.74 (define @t147 () (and @t117 (forall @t18 (= @t145 (and @t140 @t128 (not @t139)))))) % 0.36/0.74 (define @t148 () (and @t19 (=> @t136 (=> @t147 (or (and (or @t146 @t144) @t143) (tptp.aElementOf0 @t5 @t142)))))) % 0.36/0.74 (define @t149 () (tptp.sdtlpdtrp0 tptp.xC @t1)) % 0.36/0.74 (define @t150 () (tptp.sdtlpdtrp0 @t149 @t5)) % 0.36/0.74 (define @t151 () (tptp.szDzozmdt0 @t149)) % 0.36/0.74 (define @t152 () (tptp.aElementOf0 @t5 @t151)) % 0.36/0.74 (define @t153 () (or (and @t19 @t146) @t144)) % 0.36/0.74 (define @t154 () (tptp.sdtlcdtrc0 @t149 @t151)) % 0.36/0.74 (define @t155 () (tptp.aElementOf0 @t5 tptp.xT)) % 0.36/0.74 (define @t156 () (tptp.aElementOf0 @t5 @t154)) % 0.36/0.74 (define @t157 () (= (tptp.sdtlpdtrp0 @t149 @t15) @t5)) % 0.36/0.74 (define @t158 () (tptp.aSubsetOf0 @t15 @t113)) % 0.36/0.74 (define @t159 () (tptp.aElementOf0 @t29 @t113)) % 0.36/0.74 (define @t160 () (forall @t34 (=> @t33 @t159))) % 0.36/0.74 (define @t161 () (tptp.aElementOf0 @t29 @t111)) % 0.36/0.74 (define @t162 () (forall @t34 (= @t159 (and @t32 @t161 (not (= @t29 @t112)))))) % 0.36/0.74 (define @t163 () (forall @t34 (=> @t161 (tptp.sdtlseqdt0 @t112 @t29)))) % 0.36/0.74 (define @t164 () (= @t58 tptp.xk)) % 0.36/0.74 (define @t165 () (tptp.slbdtsldtrb0 @t110 tptp.xk)) % 0.36/0.74 (define @t166 () (tptp.sdtlpdtrp0 tptp.xe @t1)) % 0.36/0.74 (define @t167 () (tptp.sdtlpdtrp0 tptp.xd @t1)) % 0.36/0.74 (define @t168 () (tptp.szDzozmdt0 tptp.xd)) % 0.36/0.74 (define @t169 () (tptp.sdtlcdtrc0 tptp.xd @t168)) % 0.36/0.74 (define @t170 () (tptp.aElementOf0 @t1 @t169)) % 0.36/0.74 (define @t171 () (tptp.sdtlpdtrp0 tptp.xd @t5)) % 0.36/0.74 (define @t172 () (tptp.szDzizrdt0 tptp.xd)) % 0.36/0.74 (define @t173 () (tptp.sdtlbdtrb0 tptp.xd @t172)) % 0.36/0.74 (define @t174 () (tptp.aElementOf0 @t1 @t173)) % 0.36/0.74 (define @t175 () (forall @t3 (= @t174 (and (tptp.aElementOf0 @t1 @t168) (= @t167 @t172))))) % 0.36/0.74 (define @t176 () (tptp.aSet0 @t173)) % 0.36/0.74 (define @t177 () (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1)) % 0.36/0.74 (define @t178 () (tptp.aElementOf0 @t5 @t173)) % 0.36/0.74 (define @t179 () (exists @t8 (and @t178 @t177))) % 0.36/0.74 (define @t180 () (tptp.aElementOf0 @t1 tptp.xO)) % 0.36/0.74 (define @t181 () (tptp.aSet0 tptp.xO)) % 0.36/0.74 (define @t182 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0)) % 0.36/0.74 (define @t183 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) % 0.36/0.74 (define @t184 () (tptp.aSubsetOf0 @t183 tptp.xS)) % 0.36/0.74 (define @t185 () (tptp.aElementOf0 @t1 @t183)) % 0.36/0.74 (define @t186 () (forall @t3 (=> @t185 @t88))) % 0.36/0.74 (define @t187 () (or @t186 @t184)) % 0.36/0.74 (define @t188 () (not @t187)) % 0.36/0.74 (define @t189 () (@var "BOUND_VARIABLE_10090" $$unsorted)) % 0.36/0.74 (define @t190 () (or (not (tptp.aElementOf0 @t189 @t111)) (tptp.aElementOf0 @t189 @t125))) % 0.36/0.74 (define @t191 () (and @t190 @t126)) % 0.36/0.74 (define @t192 () (not @t53)) % 0.36/0.74 (define @t193 () (not @t47)) % 0.36/0.74 (define @t194 () (not @t45)) % 0.36/0.74 (define @t195 () (or @t194 @t193 @t192 @t191)) % 0.36/0.74 (define @t196 () (@list @t189)) % 0.36/0.74 (define @t197 () (forall @t196 @t195)) % 0.36/0.74 (define @t198 () (forall @t196 @t126)) % 0.36/0.74 (define @t199 () (forall @t196 @t190)) % 0.36/0.74 (define @t200 () (and @t199 @t198)) % 0.36/0.74 (define @t201 () (forall @t196 @t191)) % 0.36/0.74 (define @t202 () (or @t194 @t193 @t192 @t201)) % 0.36/0.74 (define @t203 () (and (forall @t18 (or (not @t128) @t127)) @t126)) % 0.36/0.74 (define @t204 () (or @t194 @t193 @t192 @t203)) % 0.36/0.74 (define @t205 () (=> @t53 @t203)) % 0.36/0.74 (define @t206 () (@quantifiers_skolemize (forall @t3 (or (not @t185) @t88)) 0)) % 0.36/0.74 (define @t207 () (tptp.sdtlseqdt0 tptp.sz00 tptp.xi)) % 0.36/0.74 (define @t208 () (not @t182)) % 0.36/0.74 (define @t209 () (or @t208 @t207)) % 0.36/0.74 (define @t210 () (tptp.aSubsetOf0 @t183 @t124)) % 0.36/0.74 (define @t211 () (and (or (not (tptp.aElementOf0 @t206 @t183)) (tptp.aElementOf0 @t206 @t124)) @t210)) % 0.36/0.74 (define @t212 () (not @t207)) % 0.36/0.74 (define @t213 () (not @t43)) % 0.36/0.74 (define @t214 () (or @t208 @t213 @t212 @t211)) % 0.36/0.74 (assume @p1 (forall @t3 (=> @t2 true))) % 0.36/0.74 (assume @p2 (forall @t3 (=> @t4 true))) % 0.36/0.74 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.36/0.74 (assume @p4 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.36/0.74 (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7)))))) % 0.36/0.74 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.36/0.74 (assume @p7 (forall @t3 (=> @t2 (=> @t11 true)))) % 0.36/0.74 (assume @p8 (forall @t3 (=> @t13 @t12))) % 0.36/0.74 (assume @p9 (forall @t3 (=> @t13 @t14))) % 0.36/0.74 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16)))))))) % 0.36/0.74 (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21))))) % 0.36/0.74 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.36/0.74 (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23)))) % 0.36/0.74 (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15))))) % 0.36/0.74 (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30)))))))))) % 0.36/0.74 (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30)))))))))) % 0.36/0.74 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1)))))) % 0.36/0.74 (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5))))) % 0.36/0.74 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38)))))) % 0.36/0.74 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41)))))) % 0.36/0.74 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38)))))) % 0.36/0.74 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41)))))) % 0.36/0.74 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.36/0.74 (assume @p24 @t43) % 0.36/0.74 (assume @p25 (forall @t3 (=> @t45 (and (tptp.aElementOf0 @t44 tptp.szNzAzT0) (not (= @t44 tptp.sz00)))))) % 0.36/0.74 (assume @p26 (forall @t25 (=> @t48 (=> (= @t44 @t46) @t23)))) % 0.36/0.74 (assume @p27 (forall @t3 (=> @t45 (or @t49 (exists @t8 (and @t47 (= @t1 @t46))))))) % 0.36/0.74 (assume @p28 (forall @t3 (=> @t45 (not (= @t1 @t44))))) % 0.36/0.74 (assume @p29 (forall @t25 (=> @t48 (=> @t50 true)))) % 0.36/0.74 (assume @p30 @t52) % 0.36/0.74 (assume @p31 (forall @t3 (=> @t45 (not (tptp.sdtlseqdt0 @t44 tptp.sz00))))) % 0.36/0.74 (assume @p32 (forall @t25 (=> @t48 (= @t50 (tptp.sdtlseqdt0 @t44 @t46))))) % 0.36/0.74 (assume @p33 (forall @t3 (=> @t45 (tptp.sdtlseqdt0 @t1 @t44)))) % 0.36/0.74 (assume @p34 (forall @t3 (=> @t45 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.36/0.74 (assume @p35 (forall @t25 (=> @t48 (=> (and @t50 @t53) @t23)))) % 0.36/0.74 (assume @p36 (forall @t28 (=> (and @t45 @t47 @t55) (=> (and @t50 @t54) (tptp.sdtlseqdt0 @t1 @t15))))) % 0.36/0.74 (assume @p37 (forall @t25 (=> @t48 (or @t50 (tptp.sdtlseqdt0 @t46 @t1))))) % 0.36/0.74 (assume @p38 (forall @t25 (=> @t48 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.36/0.74 (assume @p39 (forall @t3 (=> @t45 (tptp.iLess0 @t1 @t44)))) % 0.36/0.74 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t56)))) % 0.36/0.74 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t56 tptp.szNzAzT0) @t9)))) % 0.36/0.74 (assume @p42 (forall @t3 (=> @t2 (= (= @t56 tptp.sz00) @t10)))) % 0.36/0.74 (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t56)))))))) % 0.36/0.74 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t56)))))) % 0.36/0.74 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t57 @t56)))))) % 0.36/0.74 (assume @p46 (forall @t25 (=> @t59 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t56)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= @t58 @t5))))))) % 0.36/0.74 (assume @p47 (forall @t3 (=> (and @t61 @t14) (forall @t8 (= (= @t5 @t60) (and @t7 (forall @t18 (=> @t16 @t54)))))))) % 0.36/0.74 (assume @p48 (forall @t3 (=> (and @t61 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5))))))))) % 0.36/0.74 (assume @p49 (forall @t25 (=> (and @t61 @t63 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t60 @t5) (tptp.aElementOf0 @t62 @t1)) (= @t60 @t62))))) % 0.36/0.74 (assume @p50 (forall @t3 (=> @t45 (forall @t8 (= (= @t5 @t64) (and @t19 (forall @t18 (= @t17 (and @t55 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1)))))))))) % 0.36/0.74 (assume @p51 (forall @t3 (=> @t45 (tptp.isFinite0 @t64)))) % 0.36/0.74 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.36/0.74 (assume @p53 (forall @t25 (=> @t48 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t46)) (or (tptp.aElementOf0 @t1 @t65) @t23))))) % 0.36/0.74 (assume @p54 (forall @t25 (=> @t48 (= @t50 (tptp.aSubsetOf0 @t64 @t65))))) % 0.36/0.74 (assume @p55 (forall @t3 (=> (and @t61 @t9) (exists @t8 (and @t47 (tptp.aSubsetOf0 @t1 @t65)))))) % 0.36/0.74 (assume @p56 (forall @t3 (=> @t45 (= (tptp.sbrdtbr0 @t64) @t1)))) % 0.36/0.74 (assume @p57 (forall @t25 (=> @t59 (forall @t18 (= (= @t15 @t68) (and @t27 (forall @t34 (= @t33 (and @t67 (= @t66 @t5)))))))))) % 0.36/0.74 (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t47 (tptp.isFinite0 @t68)))))) % 0.36/0.74 (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t47 (not (= @t68 tptp.slcrc0))))))) % 0.36/0.74 (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t47 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t68)))))) % 0.36/0.74 (assume @p61 (forall @t3 (=> @t45 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t49)) (=> (and (tptp.aSubsetOf0 @t69 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t69 tptp.slcrc0))) @t26)))))) % 0.36/0.74 (assume @p62 (forall @t25 (=> @t59 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t68) (tptp.isFinite0 @t15)) (exists @t34 (and @t67 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5))))))))) % 0.36/0.74 (assume @p63 (forall @t3 (=> @t70 true))) % 0.36/0.74 (assume @p64 (forall @t3 (=> @t70 (tptp.aSet0 @t71)))) % 0.36/0.74 (assume @p65 (forall @t3 (=> @t70 (forall @t8 (=> @t73 (tptp.aElement0 @t72)))))) % 0.36/0.74 (assume @p66 (forall @t25 (=> @t77 (forall @t18 (= (= @t15 @t76) (and @t27 (forall @t34 (= @t33 (and @t75 (= @t74 @t5)))))))))) % 0.36/0.74 (assume @p67 (forall @t25 (=> @t77 (tptp.aSubsetOf0 @t76 @t71)))) % 0.36/0.74 (assume @p68 (forall @t3 (=> @t70 (forall @t8 (=> @t82 (forall @t18 (= (= @t15 @t81) (and @t27 (forall @t34 (= @t33 (exists @t80 (and @t79 (= (tptp.sdtlpdtrp0 @t1 @t78) @t29))))))))))))) % 0.36/0.74 (assume @p69 (forall @t3 (=> @t70 (forall @t8 (=> @t73 (tptp.aElementOf0 @t72 @t83)))))) % 0.36/0.74 (assume @p70 (forall @t3 (=> @t70 (forall @t8 (=> @t82 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t86 (= @t85 @t5) (forall @t34 (=> @t84 (= (tptp.sdtlpdtrp0 @t15 @t29) @t74))))))))))) % 0.36/0.74 (assume @p71 (forall @t3 (=> @t70 (forall @t8 (=> (and @t82 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t71) @t75 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t74)))) (tptp.isCountable0 @t81))))))) % 0.36/0.74 (assume @p72 (forall @t3 (=> @t70 (=> (and (tptp.isCountable0 @t71) (tptp.isFinite0 @t83)) (and (tptp.aElement0 @t87) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t87))))))) % 0.36/0.74 (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT))) % 0.36/0.74 (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0)) % 0.36/0.74 (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> @t88 @t45)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS))) % 0.36/0.74 (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t94 (and @t2 @t97 @t96 @t95)) (=> (and (or (and @t2 @t97) @t96) @t95) @t94))) (= @t89 @t93) (tptp.aSet0 @t90) (forall @t3 (= @t92 (exists @t8 (and (tptp.aElementOf0 @t5 @t89) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t92 @t91)) (tptp.aSubsetOf0 @t90 tptp.xT))) % 0.36/0.74 (assume @p77 (forall @t3 (=> @t45 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t55))) @t63) @t39) (forall @t18 (=> (and @t86 (or (forall @t34 (and (=> @t104 (and (or (and @t109 @t108) @t106) @t105)) (=> (and @t109 @t108 @t106 @t105) @t104))) (= @t85 @t69)) (=> (and (tptp.aSet0 @t102) (forall @t34 (= @t103 (exists @t80 (and (tptp.aElementOf0 @t78 @t85) (= (tptp.sdtlpdtrp0 @t15 @t78) @t29)))))) (or (forall @t34 (=> @t103 @t101)) (tptp.aSubsetOf0 @t102 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t101 (exists @t80 (and (tptp.aSet0 @t78) (forall @t100 (=> (tptp.aElementOf0 @t98 @t78) (tptp.aElementOf0 @t98 @t5))) (tptp.aSubsetOf0 @t78 @t5) (tptp.isCountable0 @t78) (forall @t100 (=> (or (and (or (and (tptp.aSet0 @t98) (forall (@list @t99) (=> (tptp.aElementOf0 @t99 @t98) (tptp.aElementOf0 @t99 @t78)))) (tptp.aSubsetOf0 @t98 @t78)) (= (tptp.sbrdtbr0 @t98) @t1)) (tptp.aElementOf0 @t98 (tptp.slbdtsldtrb0 @t78 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t98) @t29))))))))))))))) % 0.36/0.74 (assume @p78 (not (= tptp.xK tptp.sz00))) % 0.36/0.74 (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK))) % 0.36/0.74 (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= @t124 tptp.xS) (forall @t3 (=> @t45 (=> (and (or (and @t123 @t122) @t121) @t120) (and @t119 @t118 @t117 @t116 (tptp.aSet0 @t110) (forall @t8 (=> (tptp.aElementOf0 @t5 @t110) @t114)) (tptp.aSubsetOf0 @t110 @t113) (tptp.isCountable0 @t110))))))) % 0.36/0.74 (assume @p81 (forall @t3 (=> @t45 (and @t123 @t122 @t121 @t120)))) % 0.36/0.74 (assume @p82 @t133) % 0.36/0.74 (assume @p83 (forall @t25 (=> (and @t45 @t47 (not @t23)) (not (=> @t136 (or (and (tptp.aElementOf0 @t112 @t125) (forall @t18 (=> @t127 @t134))) (= @t112 (tptp.szmzizndt0 @t125)))))))) % 0.36/0.74 (assume @p84 (forall @t3 (=> @t45 (forall @t8 (=> @t148 (and @t119 @t135 (tptp.aSet0 @t137) @t141 (forall @t18 (=> @t138 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t137 tptp.xS) (= (tptp.sbrdtbr0 @t137) tptp.xK) (tptp.aElementOf0 @t137 @t93))))))) % 0.36/0.74 (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t45 (and (tptp.aFunction0 @t149) @t119 @t118 @t117 @t116 (forall @t8 (and (=> @t152 (and @t19 @t146 @t144 @t143)) (=> (and @t153 @t143) @t152))) (= @t151 @t142) (forall @t8 (=> @t148 (and @t119 @t135 @t141 (= @t150 (tptp.sdtlpdtrp0 tptp.xc @t137)))))))))) % 0.36/0.74 (assume @p86 (forall @t3 (=> @t45 (and (tptp.aSet0 @t154) (forall @t8 (= @t156 (exists @t18 (and (tptp.aElementOf0 @t15 @t151) @t157)))) (forall @t8 (=> @t156 @t155)) (tptp.aSubsetOf0 @t154 tptp.xT))))) % 0.36/0.74 (assume @p87 (forall @t3 (=> @t45 (forall @t8 (=> (and (=> @t136 (=> @t147 @t153)) @t39) (forall @t18 (=> (and @t27 (or (and (or (forall @t34 (=> @t33 @t84)) (tptp.aSubsetOf0 @t15 @t5)) @t164) (tptp.aElementOf0 @t15 (tptp.slbdtsldtrb0 @t5 tptp.xk)))) (and @t119 @t163 @t117 @t162 @t160 @t158 (tptp.aElementOf0 @t15 @t142))))))))) % 0.36/0.74 (assume @p88 (forall @t3 (=> @t45 (exists @t8 (and @t155 (exists @t18 (and @t119 @t163 @t117 @t162 @t27 @t160 @t158 (tptp.isCountable0 @t15) (forall @t34 (=> (and @t109 (or (and (or (forall @t80 (=> @t107 (tptp.aElementOf0 @t78 @t15))) (tptp.aSubsetOf0 @t29 @t15)) (= @t66 tptp.xk)) (tptp.aElementOf0 @t29 (tptp.slbdtsldtrb0 @t15 tptp.xk)))) (= (tptp.sdtlpdtrp0 @t149 @t29) @t5)))))))))) % 0.36/0.74 (assume @p89 (forall @t3 (=> @t45 (exists @t8 (and @t155 (forall @t18 (=> (and @t27 (or (and (or (forall @t34 (=> @t33 (tptp.aElementOf0 @t29 @t110))) (tptp.aSubsetOf0 @t15 @t110)) @t164) (tptp.aElementOf0 @t15 @t165))) @t157))))))) % 0.36/0.74 (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall @t3 (=> @t45 (and (tptp.aElementOf0 @t166 @t111) (forall @t8 (=> @t115 (tptp.sdtlseqdt0 @t166 @t5))) (= @t166 @t112)))))) % 0.36/0.74 (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t168 tptp.szNzAzT0) (forall @t3 (=> @t45 (forall @t8 (=> (and @t19 (or (and (or (forall @t18 (=> @t17 (tptp.aElementOf0 @t15 @t110))) (tptp.aSubsetOf0 @t5 @t110)) @t143) (tptp.aElementOf0 @t5 @t165))) (= @t167 @t150))))))) % 0.36/0.74 (assume @p92 (and (tptp.aSet0 @t169) (forall @t3 (= @t170 (exists @t8 (and (tptp.aElementOf0 @t5 @t168) (= @t171 @t1))))) (forall @t3 (=> @t170 @t91)) (tptp.aSubsetOf0 @t169 tptp.xT))) % 0.36/0.74 (assume @p93 (and (tptp.aElementOf0 @t172 tptp.xT) @t176 @t175)) % 0.36/0.74 (assume @p94 (and @t181 @t176 @t175 (forall @t3 (= @t180 @t179)) (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe @t173)))) % 0.36/0.74 (assume @p95 (and @t181 (tptp.isCountable0 tptp.xO))) % 0.36/0.74 (assume @p96 (forall @t3 (=> (or @t179 @t180) (exists @t8 (and @t47 (= @t171 @t172) @t178 @t177))))) % 0.36/0.74 (assume @p97 (and (exists @t3 (and @t174 (= @t166 tptp.xx))) (tptp.aElementOf0 tptp.xx tptp.xO))) % 0.36/0.74 (assume @p98 (and @t182 (= (tptp.sdtlpdtrp0 tptp.xe tptp.xi) tptp.xx))) % 0.36/0.74 (assume @p99 @t188) % 0.36/0.74 (assume @p100 true) % 0.36/0.74 (step @p101 :rule evaluate :args ((= false true))) % 0.36/0.74 (step @p102 :rule quant-merge-prenex :args ((= (forall @t25 @t197) (forall (@list @t1 @t5 @t189) @t195)))) % 0.36/0.74 (step @p103 :rule quant-unused-vars :args ((= @t198 @t126))) % 0.36/0.74 (step @p104 :rule alpha_equiv :args (@t199 (@list @t189) (@list @t15))) % 0.36/0.74 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t200)) % 0.36/0.74 (step @p106 :rule quant-miniscope-and :args ((= @t201 @t200))) % 0.36/0.74 (step @p107 :rule trans :premises (@p106 @p105)) % 0.36/0.74 (step @p108 :rule refl :args (@t192)) % 0.36/0.74 (step @p109 :rule refl :args (@t193)) % 0.36/0.74 (step @p110 :rule refl :args (@t194)) % 0.36/0.74 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108 @p107) :args (@t202)) % 0.36/0.74 (step @p112 :rule quant-miniscope-or :args ((= @t197 @t202))) % 0.36/0.74 (step @p113 :rule trans :premises (@p112 @p111)) % 0.36/0.74 (step @p114 :rule symm :premises (@p113)) % 0.36/0.74 (step @p115 :rule cong :premises (@p114) :args ((forall @t25 @t204))) % 0.36/0.74 (step @p116 :rule trans :premises (@p115 @p102)) % 0.36/0.74 (step @p117 :rule aci_norm :args ((= (or (or @t194 @t193) (or @t192 @t203)) @t204))) % 0.36/0.74 (step @p118 :rule bool-impl-elim :args (@t53 @t203)) % 0.36/0.74 (step @p119 :rule bool-and-de-morgan :args (@t45 @t47 true)) % 0.36/0.74 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t48) @t205))) % 0.36/0.74 (step @p121 :rule trans :premises (@p120 @p117)) % 0.36/0.74 (step @p122 :rule bool-impl-elim :args (@t48 @t205)) % 0.36/0.74 (step @p123 :rule trans :premises (@p122 @p121)) % 0.36/0.74 (step @p124 :rule cong :premises (@p123) :args ((forall @t25 (=> @t48 @t205)))) % 0.36/0.74 (step @p125 :rule trans :premises (@p124 @p116)) % 0.36/0.74 (step @p126 :rule refl :args (@t126)) % 0.36/0.74 (step @p127 :rule bool-impl-elim :args (@t128 @t127)) % 0.36/0.74 (step @p128 :rule cong :premises (@p127) :args (@t129)) % 0.36/0.74 (step @p129 :rule nary_cong :premises (@p128 @p126) :args (@t130)) % 0.36/0.74 (step @p130 :rule refl :args (@t53)) % 0.36/0.74 (step @p131 :rule cong :premises (@p130 @p129) :args (@t131)) % 0.36/0.74 (step @p132 :rule refl :args (@t48)) % 0.36/0.74 (step @p133 :rule cong :premises (@p132 @p131) :args (@t132)) % 0.36/0.74 (step @p134 :rule cong :premises (@p133) :args (@t133)) % 0.36/0.74 (step @p135 :rule trans :premises (@p134 @p125)) % 0.36/0.75 (step @p136 :rule eq_resolve :premises (@p82 @p135)) % 0.36/0.75 (step @p137 :rule instantiate :premises (@p136) :args ((@list tptp.xi tptp.sz00 @t206))) % 0.36/0.75 (step @p138 :rule bool-impl-elim :args (@t45 @t51)) % 0.36/0.75 (step @p139 :rule cong :premises (@p138) :args (@t52)) % 0.36/0.75 (step @p140 :rule eq_resolve :premises (@p30 @p139)) % 0.36/0.75 (step @p141 :rule instantiate :premises (@p140) :args ((@list tptp.xi))) % 0.36/0.75 (step @p142 :rule and_elim :premises (@p98) :args (0)) % 0.36/0.75 (step @p143 :rule cnf_or_pos :args (@t209)) % 0.36/0.75 (step @p144 :rule reordering :premises (@p143) :args ((or @t208 @t207 (not @t209)))) % 0.36/0.75 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p141) :args (@t207 (@list false false) (@list @t182 @t209))) % 0.36/0.75 (step @p146 :rule cnf_or_pos :args (@t214)) % 0.36/0.75 (step @p147 :rule reordering :premises (@p146) :args ((or @t213 @t208 @t212 @t211 (not @t214)))) % 0.36/0.75 (step @p148 :rule chain_m_resolution :premises (@p147 @p24 @p142 @p145 @p137) :args (@t211 (@list false false false false) (@list @t43 @t182 @t207 @t214))) % 0.36/0.75 (step @p149 :rule cnf_and_pos :args (@t211 1)) % 0.36/0.75 (step @p150 :rule reordering :premises (@p149) :args ((or @t210 (not @t211)))) % 0.36/0.75 (step @p151 :rule chain_m_resolution :premises (@p150 @p148) :args (@t210 (@list false) (@list @t211))) % 0.36/0.75 (step @p152 :rule true_intro :premises (@p151)) % 0.36/0.75 (step @p153 :rule and_elim :premises (@p80) :args (2)) % 0.36/0.75 (step @p154 :rule symm :premises (@p153)) % 0.36/0.75 (step @p155 :rule refl :args (@t183)) % 0.36/0.75 (step @p156 :rule cong :premises (@p155 @p154) :args (@t184)) % 0.36/0.75 (step @p157 :rule refl :args (@t184)) % 0.36/0.75 (step @p158 :rule bool-impl-elim :args (@t185 @t88)) % 0.36/0.75 (step @p159 :rule cong :premises (@p158) :args (@t186)) % 0.36/0.75 (step @p160 :rule nary_cong :premises (@p159 @p157) :args (@t187)) % 0.36/0.75 (step @p161 :rule cong :premises (@p160) :args (@t188)) % 0.36/0.75 (step @p162 :rule eq_resolve :premises (@p99 @p161)) % 0.36/0.75 (step @p163 :rule not_or_elim :premises (@p162) :args (1)) % 0.36/0.75 (step @p164 :rule false_intro :premises (@p163)) % 0.36/0.75 (step @p165 :rule symm :premises (@p164)) % 0.36/0.75 (step @p166 :rule trans :premises (@p165 @p156 @p152)) % 0.36/0.75 (step @p167 false :rule eq_resolve :premises (@p166 @p101)) % 0.36/0.75 ) % 0.36/0.75 % SZS output end Proof % 0.36/0.75 % cvc5 exiting %------------------------------------------------------------------------------