%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM558+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:50 AM UTC 2026 % Result : Theorem 0.52s 0.78s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM558+3 : 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 : n025.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 11:29:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.78 % SZS status Theorem % 0.52/0.78 % SZS output start Proof % 0.52/0.78 ( % 0.52/0.78 (declare-sort $$unsorted 0) % 0.52/0.78 (declare-const tptp.xQ $$unsorted) % 0.52/0.78 (declare-const tptp.xx $$unsorted) % 0.52/0.78 (declare-const tptp.xT $$unsorted) % 0.52/0.78 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.78 (declare-const tptp.xP $$unsorted) % 0.52/0.78 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.52/0.78 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.52/0.78 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.52/0.78 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.52/0.78 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.xS $$unsorted) % 0.52/0.78 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.xy $$unsorted) % 0.52/0.78 (declare-const tptp.slcrc0 $$unsorted) % 0.52/0.78 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.78 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.xk $$unsorted) % 0.52/0.78 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.52/0.78 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.78 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.szNzAzT0 $$unsorted) % 0.52/0.78 (declare-const tptp.sz00 $$unsorted) % 0.52/0.78 (define @t1 () (@var "W0" $$unsorted)) % 0.52/0.78 (define @t2 () (tptp.aSet0 @t1)) % 0.52/0.78 (define @t3 () (@list @t1)) % 0.52/0.78 (define @t4 () (tptp.aElement0 @t1)) % 0.52/0.78 (define @t5 () (@var "W1" $$unsorted)) % 0.52/0.78 (define @t6 () (tptp.aElement0 @t5)) % 0.52/0.78 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.52/0.78 (define @t8 () (@list @t5)) % 0.52/0.78 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.52/0.78 (define @t10 () (=> @t2 @t9)) % 0.52/0.78 (define @t11 () (forall @t3 @t10)) % 0.52/0.78 (define @t12 () (tptp.isFinite0 @t1)) % 0.52/0.78 (define @t13 () (= @t1 tptp.slcrc0)) % 0.52/0.78 (define @t14 () (tptp.isCountable0 @t1)) % 0.52/0.78 (define @t15 () (not @t12)) % 0.52/0.78 (define @t16 () (and @t2 @t14)) % 0.52/0.78 (define @t17 () (not @t13)) % 0.52/0.78 (define @t18 () (@var "W2" $$unsorted)) % 0.52/0.78 (define @t19 () (tptp.aElementOf0 @t18 @t1)) % 0.52/0.78 (define @t20 () (tptp.aElementOf0 @t18 @t5)) % 0.52/0.78 (define @t21 () (@list @t18)) % 0.52/0.78 (define @t22 () (forall @t21 (=> @t20 @t19))) % 0.52/0.78 (define @t23 () (tptp.aSet0 @t5)) % 0.52/0.78 (define @t24 () (and @t23 @t22)) % 0.52/0.78 (define @t25 () (tptp.aSubsetOf0 @t5 @t1)) % 0.52/0.78 (define @t26 () (= @t25 @t24)) % 0.52/0.78 (define @t27 () (forall @t8 @t26)) % 0.52/0.78 (define @t28 () (=> @t2 @t27)) % 0.52/0.78 (define @t29 () (forall @t3 @t28)) % 0.52/0.78 (define @t30 () (tptp.isFinite0 @t5)) % 0.52/0.78 (define @t31 () (and @t2 @t12)) % 0.52/0.78 (define @t32 () (= @t1 @t5)) % 0.52/0.78 (define @t33 () (tptp.aSubsetOf0 @t1 @t5)) % 0.52/0.78 (define @t34 () (@list @t1 @t5)) % 0.52/0.78 (define @t35 () (tptp.aSet0 @t18)) % 0.52/0.78 (define @t36 () (@list @t1 @t5 @t18)) % 0.52/0.78 (define @t37 () (@var "W3" $$unsorted)) % 0.52/0.78 (define @t38 () (= @t37 @t5)) % 0.52/0.78 (define @t39 () (tptp.aElementOf0 @t37 @t1)) % 0.52/0.78 (define @t40 () (tptp.aElement0 @t37)) % 0.52/0.78 (define @t41 () (tptp.aElementOf0 @t37 @t18)) % 0.52/0.78 (define @t42 () (@list @t37)) % 0.52/0.78 (define @t43 () (tptp.sdtpldt0 @t1 @t5)) % 0.52/0.78 (define @t44 () (and @t2 @t6)) % 0.52/0.78 (define @t45 () (tptp.sdtmndt0 @t1 @t5)) % 0.52/0.78 (define @t46 () (tptp.sdtpldt0 @t5 @t1)) % 0.52/0.78 (define @t47 () (and @t23 (tptp.isCountable0 @t5))) % 0.52/0.78 (define @t48 () (tptp.sdtmndt0 @t5 @t1)) % 0.52/0.78 (define @t49 () (and @t23 @t30)) % 0.52/0.78 (define @t50 () (tptp.szszuzczcdt0 @t1)) % 0.52/0.78 (define @t51 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.52/0.78 (define @t52 () (tptp.szszuzczcdt0 @t5)) % 0.52/0.78 (define @t53 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.52/0.78 (define @t54 () (and @t51 @t53)) % 0.52/0.78 (define @t55 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.52/0.78 (define @t56 () (tptp.sdtlseqdt0 @t5 @t18)) % 0.52/0.78 (define @t57 () (tptp.aElementOf0 @t18 tptp.szNzAzT0)) % 0.52/0.78 (define @t58 () (tptp.sbrdtbr0 @t1)) % 0.52/0.78 (define @t59 () (not @t7)) % 0.52/0.78 (define @t60 () (and @t2 @t53)) % 0.52/0.78 (define @t61 () (tptp.szmzizndt0 @t1)) % 0.52/0.78 (define @t62 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.52/0.78 (define @t63 () (tptp.szmzizndt0 @t5)) % 0.52/0.78 (define @t64 () (tptp.slbdtrb0 @t1)) % 0.52/0.78 (define @t65 () (tptp.slbdtrb0 @t5)) % 0.52/0.78 (define @t66 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.52/0.78 (define @t67 () (tptp.aSet0 tptp.xT)) % 0.52/0.78 (define @t68 () (tptp.aSet0 tptp.xS)) % 0.52/0.78 (define @t69 () (tptp.slbdtsldtrb0 tptp.xS tptp.xk)) % 0.52/0.78 (define @t70 () (tptp.aElementOf0 @t1 @t69)) % 0.52/0.78 (define @t71 () (= @t58 tptp.xk)) % 0.52/0.78 (define @t72 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.52/0.78 (define @t73 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.52/0.78 (define @t74 () (forall @t3 (and (=> @t70 (and @t2 @t73 @t72 @t71)) (=> (and (or (and @t2 @t73) @t72) @t71) @t70)))) % 0.52/0.78 (define @t75 () (tptp.slbdtsldtrb0 tptp.xT tptp.xk)) % 0.52/0.78 (define @t76 () (tptp.aElementOf0 @t1 @t75)) % 0.52/0.78 (define @t77 () (forall @t3 (=> @t70 @t76))) % 0.52/0.78 (define @t78 () (tptp.aSubsetOf0 @t1 tptp.xT)) % 0.52/0.78 (define @t79 () (tptp.aElementOf0 @t5 tptp.xT)) % 0.52/0.78 (define @t80 () (forall @t8 (=> @t7 @t79))) % 0.52/0.78 (define @t81 () (and @t2 @t80)) % 0.52/0.78 (define @t82 () (or @t81 @t78)) % 0.52/0.78 (define @t83 () (and @t82 @t71)) % 0.52/0.78 (define @t84 () (=> @t83 @t76)) % 0.52/0.78 (define @t85 () (and @t2 @t80 @t78 @t71)) % 0.52/0.78 (define @t86 () (=> @t76 @t85)) % 0.52/0.78 (define @t87 () (and @t86 @t84)) % 0.52/0.78 (define @t88 () (forall @t3 @t87)) % 0.52/0.78 (define @t89 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 0.52/0.78 (define @t90 () (= (tptp.sbrdtbr0 tptp.xQ) tptp.xk)) % 0.52/0.78 (define @t91 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.52/0.78 (define @t92 () (tptp.aElementOf0 @t1 tptp.xQ)) % 0.52/0.78 (define @t93 () (tptp.aSet0 tptp.xQ)) % 0.52/0.78 (define @t94 () (tptp.sdtmndt0 tptp.xQ tptp.xy)) % 0.52/0.78 (define @t95 () (tptp.aElementOf0 @t1 @t94)) % 0.52/0.78 (define @t96 () (tptp.aElementOf0 @t1 tptp.xP)) % 0.52/0.78 (define @t97 () (forall @t3 (= @t96 (and @t4 (or @t95 (= @t1 tptp.xx)))))) % 0.52/0.78 (define @t98 () (tptp.aSet0 tptp.xP)) % 0.52/0.78 (define @t99 () (tptp.aElementOf0 tptp.xP @t69)) % 0.52/0.78 (define @t100 () (tptp.sbrdtbr0 tptp.xP)) % 0.52/0.78 (define @t101 () (tptp.aElementOf0 tptp.xx tptp.xT)) % 0.52/0.78 (define @t102 () (tptp.aElementOf0 tptp.xx tptp.xP)) % 0.52/0.78 (define @t103 () (tptp.aElement0 tptp.xx)) % 0.52/0.78 (define @t104 () (tptp.aElementOf0 tptp.xx @t94)) % 0.52/0.78 (define @t105 () (or @t104 (= tptp.xx tptp.xx))) % 0.52/0.78 (define @t106 () (and @t103 @t105)) % 0.52/0.78 (define @t107 () (= @t102 @t106)) % 0.52/0.78 (define @t108 () (@list tptp.xx)) % 0.52/0.78 (define @t109 () (= @t103 @t102)) % 0.52/0.78 (define @t110 () (@list false)) % 0.52/0.78 (define @t111 () (@var "BOUND_VARIABLE_7921" $$unsorted)) % 0.52/0.78 (define @t112 () (tptp.aElement0 @t111)) % 0.52/0.78 (define @t113 () (not (tptp.aElementOf0 @t111 @t1))) % 0.52/0.78 (define @t114 () (not @t2)) % 0.52/0.78 (define @t115 () (or @t113 @t112)) % 0.52/0.78 (define @t116 () (or @t114 @t115)) % 0.52/0.78 (define @t117 () (forall (@list @t1 @t111) @t116)) % 0.52/0.78 (define @t118 () (@list @t111)) % 0.52/0.78 (define @t119 () (forall @t118 @t116)) % 0.52/0.78 (define @t120 () (forall @t118 @t115)) % 0.52/0.78 (define @t121 () (@list @t5)) % 0.52/0.78 (define @t122 () (or @t114 @t120)) % 0.52/0.78 (define @t123 () (forall @t8 (or @t59 @t6))) % 0.52/0.78 (define @t124 () (not @t89)) % 0.52/0.78 (define @t125 () (not @t68)) % 0.52/0.78 (define @t126 () (or @t125 @t124 @t103)) % 0.52/0.78 (define @t127 () (@list false false)) % 0.52/0.78 (define @t128 () (not @t102)) % 0.52/0.78 (define @t129 () (or @t128 @t101)) % 0.52/0.78 (define @t130 () (not @t129)) % 0.52/0.78 (define @t131 () (forall @t8 (or (not (tptp.aElementOf0 @t5 tptp.xP)) @t79))) % 0.52/0.78 (define @t132 () (@var "BOUND_VARIABLE_7970" $$unsorted)) % 0.52/0.78 (define @t133 () (= (tptp.aSubsetOf0 @t132 @t1) (and (tptp.aSet0 @t132) (forall @t21 (or (not (tptp.aElementOf0 @t18 @t132)) @t19))))) % 0.52/0.78 (define @t134 () (or @t114 @t133)) % 0.52/0.78 (define @t135 () (@list @t132)) % 0.52/0.78 (define @t136 () (forall @t135 @t134)) % 0.52/0.78 (define @t137 () (forall @t135 @t133)) % 0.52/0.78 (define @t138 () (or @t114 @t137)) % 0.52/0.78 (define @t139 () (forall @t8 (= @t25 (and @t23 (forall @t21 (or (not @t20) @t19)))))) % 0.52/0.78 (define @t140 () (forall @t21 (or (not (tptp.aElementOf0 @t18 tptp.xP)) (tptp.aElementOf0 @t18 tptp.xT)))) % 0.52/0.78 (define @t141 () (and @t98 @t140)) % 0.52/0.78 (define @t142 () (tptp.aSubsetOf0 tptp.xP tptp.xT)) % 0.52/0.78 (define @t143 () (= @t142 @t141)) % 0.52/0.78 (define @t144 () (not @t67)) % 0.52/0.78 (define @t145 () (or @t144 @t143)) % 0.52/0.78 (define @t146 () (@var "BOUND_VARIABLE_8756" $$unsorted)) % 0.52/0.78 (define @t147 () (tptp.aElementOf0 @t146 @t75)) % 0.52/0.78 (define @t148 () (tptp.sbrdtbr0 @t146)) % 0.52/0.78 (define @t149 () (not (= @t148 tptp.xk))) % 0.52/0.78 (define @t150 () (and (or (not (tptp.aSet0 @t146)) (not (forall @t8 (or (not (tptp.aElementOf0 @t5 @t146)) @t79)))) (not (tptp.aSubsetOf0 @t146 tptp.xT)))) % 0.52/0.78 (define @t151 () (or @t150 @t149 @t147)) % 0.52/0.78 (define @t152 () (forall (@list @t146) @t151)) % 0.52/0.78 (define @t153 () (@var "BOUND_VARIABLE_8740" $$unsorted)) % 0.52/0.78 (define @t154 () (tptp.sbrdtbr0 @t153)) % 0.52/0.78 (define @t155 () (= tptp.xk @t154)) % 0.52/0.78 (define @t156 () (tptp.aSubsetOf0 @t153 tptp.xT)) % 0.52/0.78 (define @t157 () (@var "BOUND_VARIABLE_8781" $$unsorted)) % 0.52/0.78 (define @t158 () (or (not (tptp.aElementOf0 @t157 @t153)) (tptp.aElementOf0 @t157 tptp.xT))) % 0.52/0.78 (define @t159 () (tptp.aSet0 @t153)) % 0.52/0.78 (define @t160 () (and @t159 @t158 @t156 @t155)) % 0.52/0.78 (define @t161 () (not (tptp.aElementOf0 @t153 @t75))) % 0.52/0.78 (define @t162 () (or @t161 @t160)) % 0.52/0.78 (define @t163 () (@list @t157)) % 0.52/0.78 (define @t164 () (forall @t163 @t162)) % 0.52/0.78 (define @t165 () (@list @t153)) % 0.52/0.78 (define @t166 () (forall @t163 @t155)) % 0.52/0.78 (define @t167 () (forall @t163 @t156)) % 0.52/0.78 (define @t168 () (forall @t163 @t158)) % 0.52/0.78 (define @t169 () (forall @t163 @t159)) % 0.52/0.78 (define @t170 () (and @t169 @t168 @t167 @t166)) % 0.52/0.78 (define @t171 () (forall @t163 @t160)) % 0.52/0.78 (define @t172 () (or @t161 @t171)) % 0.52/0.78 (define @t173 () (forall @t8 (or (not (tptp.aElementOf0 @t5 @t153)) @t79))) % 0.52/0.78 (define @t174 () (and @t159 @t173 @t156 (= @t154 tptp.xk))) % 0.52/0.78 (define @t175 () (or @t161 @t174)) % 0.52/0.78 (define @t176 () (forall @t165 @t175)) % 0.52/0.78 (define @t177 () (not @t71)) % 0.52/0.78 (define @t178 () (not @t78)) % 0.52/0.78 (define @t179 () (forall @t8 (or @t59 @t79))) % 0.52/0.78 (define @t180 () (and (or @t114 (not @t179)) @t178)) % 0.52/0.78 (define @t181 () (or @t180 @t177 @t76)) % 0.52/0.78 (define @t182 () (forall @t3 @t181)) % 0.52/0.78 (define @t183 () (@list @t1)) % 0.52/0.78 (define @t184 () (and @t2 @t179 @t78 @t71)) % 0.52/0.78 (define @t185 () (or (not @t76) @t184)) % 0.52/0.78 (define @t186 () (forall @t3 @t185)) % 0.52/0.78 (define @t187 () (and @t186 @t182)) % 0.52/0.78 (define @t188 () (and @t2 @t179)) % 0.52/0.78 (define @t189 () (or @t188 @t78)) % 0.52/0.78 (define @t190 () (and @t189 @t71)) % 0.52/0.78 (define @t191 () (and (=> @t76 @t184) (=> @t190 @t76))) % 0.52/0.78 (define @t192 () (tptp.aElementOf0 tptp.xP @t75)) % 0.52/0.78 (define @t193 () (not @t99)) % 0.52/0.78 (define @t194 () (or @t193 @t192)) % 0.52/0.78 (define @t195 () (and @t98 (or (not (tptp.aElementOf0 tptp.xy tptp.xP)) (tptp.aElementOf0 tptp.xy tptp.xT)) @t142 (= tptp.xk @t100))) % 0.52/0.78 (define @t196 () (not @t192)) % 0.52/0.78 (define @t197 () (or @t196 @t195)) % 0.52/0.78 (assume @p1 (forall @t3 (=> @t2 true))) % 0.52/0.78 (assume @p2 (forall @t3 (=> @t4 true))) % 0.52/0.78 (assume @p3 @t11) % 0.52/0.78 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 0.52/0.78 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 0.52/0.78 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.52/0.78 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 0.52/0.78 (assume @p8 (forall @t3 (=> @t16 @t15))) % 0.52/0.78 (assume @p9 (forall @t3 (=> @t16 @t17))) % 0.52/0.78 (assume @p10 @t29) % 0.52/0.78 (assume @p11 (forall @t3 (=> @t31 (forall @t8 (=> @t25 @t30))))) % 0.52/0.78 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.52/0.78 (assume @p13 (forall @t34 (=> (and @t2 @t23) (=> (and @t33 @t25) @t32)))) % 0.52/0.78 (assume @p14 (forall @t36 (=> (and @t2 @t23 @t35) (=> (and @t33 (tptp.aSubsetOf0 @t5 @t18)) (tptp.aSubsetOf0 @t1 @t18))))) % 0.52/0.78 (assume @p15 (forall @t34 (=> @t44 (forall @t21 (= (= @t18 @t43) (and @t35 (forall @t42 (= @t41 (and @t40 (or @t39 @t38)))))))))) % 0.52/0.78 (assume @p16 (forall @t34 (=> @t44 (forall @t21 (= (= @t18 @t45) (and @t35 (forall @t42 (= @t41 (and @t40 @t39 (not @t38)))))))))) % 0.52/0.78 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t45 @t5) @t1)))))) % 0.52/0.78 (assume @p18 (forall @t34 (=> (and @t4 @t23) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t46 @t1) @t5))))) % 0.52/0.78 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t47 (tptp.isCountable0 @t46)))))) % 0.52/0.78 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t47 (tptp.isCountable0 @t48)))))) % 0.52/0.78 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t49 (tptp.isFinite0 @t46)))))) % 0.52/0.78 (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t49 (tptp.isFinite0 @t48)))))) % 0.52/0.78 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.52/0.78 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.52/0.78 (assume @p25 (forall @t3 (=> @t51 (and (tptp.aElementOf0 @t50 tptp.szNzAzT0) (not (= @t50 tptp.sz00)))))) % 0.52/0.78 (assume @p26 (forall @t34 (=> @t54 (=> (= @t50 @t52) @t32)))) % 0.52/0.78 (assume @p27 (forall @t3 (=> @t51 (or (= @t1 tptp.sz00) (exists @t8 (and @t53 (= @t1 @t52))))))) % 0.52/0.78 (assume @p28 (forall @t3 (=> @t51 (not (= @t1 @t50))))) % 0.52/0.78 (assume @p29 (forall @t34 (=> @t54 (=> @t55 true)))) % 0.52/0.78 (assume @p30 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.52/0.78 (assume @p31 (forall @t3 (=> @t51 (not (tptp.sdtlseqdt0 @t50 tptp.sz00))))) % 0.52/0.78 (assume @p32 (forall @t34 (=> @t54 (= @t55 (tptp.sdtlseqdt0 @t50 @t52))))) % 0.52/0.78 (assume @p33 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t50)))) % 0.52/0.78 (assume @p34 (forall @t3 (=> @t51 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.52/0.78 (assume @p35 (forall @t34 (=> @t54 (=> (and @t55 (tptp.sdtlseqdt0 @t5 @t1)) @t32)))) % 0.52/0.78 (assume @p36 (forall @t36 (=> (and @t51 @t53 @t57) (=> (and @t55 @t56) (tptp.sdtlseqdt0 @t1 @t18))))) % 0.52/0.78 (assume @p37 (forall @t34 (=> @t54 (or @t55 (tptp.sdtlseqdt0 @t52 @t1))))) % 0.52/0.78 (assume @p38 (forall @t34 (=> @t54 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.52/0.78 (assume @p39 (forall @t3 (=> @t51 (tptp.iLess0 @t1 @t50)))) % 0.52/0.78 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t58)))) % 0.52/0.78 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t58 tptp.szNzAzT0) @t12)))) % 0.52/0.78 (assume @p42 (forall @t3 (=> @t2 (= (= @t58 tptp.sz00) @t13)))) % 0.52/0.78 (assume @p43 (forall @t3 (=> @t31 (forall @t8 (=> @t6 (=> @t59 (= (tptp.sbrdtbr0 @t43) (tptp.szszuzczcdt0 @t58)))))))) % 0.52/0.78 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t45)) @t58)))))) % 0.52/0.78 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t25) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t58)))))) % 0.52/0.78 (assume @p46 (forall @t34 (=> @t60 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t58)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5))))))) % 0.52/0.78 (assume @p47 (forall @t3 (=> (and @t62 @t17) (forall @t8 (= (= @t5 @t61) (and @t7 (forall @t21 (=> @t19 @t56)))))))) % 0.52/0.78 (assume @p48 (forall @t3 (=> (and @t62 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5))))))))) % 0.52/0.78 (assume @p49 (forall @t34 (=> (and @t62 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t61 @t5) (tptp.aElementOf0 @t63 @t1)) (= @t61 @t63))))) % 0.52/0.78 (assume @p50 (forall @t3 (=> @t51 (forall @t8 (= (= @t5 @t64) (and @t23 (forall @t21 (= @t20 (and @t57 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1)))))))))) % 0.52/0.78 (assume @p51 (forall @t3 (=> @t51 (tptp.isFinite0 @t64)))) % 0.52/0.78 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.52/0.78 (assume @p53 (forall @t34 (=> @t54 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t52)) (or (tptp.aElementOf0 @t1 @t65) @t32))))) % 0.52/0.78 (assume @p54 (forall @t34 (=> @t54 (= @t55 (tptp.aSubsetOf0 @t64 @t65))))) % 0.52/0.78 (assume @p55 (forall @t3 (=> (and @t62 @t12) (exists @t8 (and @t53 (tptp.aSubsetOf0 @t1 @t65)))))) % 0.52/0.78 (assume @p56 (forall @t3 (=> @t51 (= (tptp.sbrdtbr0 @t64) @t1)))) % 0.52/0.78 (assume @p57 (forall @t34 (=> @t60 (forall @t21 (= (= @t18 @t66) (and @t35 (forall @t42 (= @t41 (and (tptp.aSubsetOf0 @t37 @t1) (= (tptp.sbrdtbr0 @t37) @t5)))))))))) % 0.52/0.78 (assume @p58 (forall @t3 (=> @t31 (forall @t8 (=> @t53 (tptp.isFinite0 @t66)))))) % 0.52/0.78 (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t53 (not (= @t66 tptp.slcrc0))))))) % 0.52/0.78 (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t53 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t66)))))) % 0.52/0.78 (assume @p61 (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 0.52/0.78 (assume @p62 (and @t68 @t67 (not (= tptp.xk tptp.sz00)))) % 0.52/0.78 (assume @p63 (and (tptp.aSet0 @t69) @t74 (tptp.aSet0 @t75) @t88 @t77 (tptp.aSubsetOf0 @t69 @t75) (not (=> @t74 (or (not (exists @t3 @t70)) (= @t69 tptp.slcrc0)))))) % 0.52/0.78 (assume @p64 @t89) % 0.52/0.78 (assume @p65 (and @t93 (forall @t3 (=> @t92 @t91)) (tptp.aSubsetOf0 tptp.xQ tptp.xS) @t90 (tptp.aElementOf0 tptp.xQ @t69))) % 0.52/0.78 (assume @p66 (and @t93 (tptp.isFinite0 tptp.xQ) @t90)) % 0.52/0.78 (assume @p67 (and (tptp.aElement0 tptp.xy) (tptp.aElementOf0 tptp.xy tptp.xQ))) % 0.52/0.78 (assume @p68 (not (tptp.aElementOf0 tptp.xx tptp.xQ))) % 0.52/0.78 (assume @p69 (and (tptp.aSet0 @t94) (forall @t3 (= @t95 (and @t4 @t92 (not (= @t1 tptp.xy))))) @t98 @t97 (= tptp.xP (tptp.sdtpldt0 @t94 tptp.xx)))) % 0.52/0.78 (assume @p70 (and (forall @t3 (=> @t96 @t91)) (tptp.aSubsetOf0 tptp.xP tptp.xS) (= @t100 tptp.xk) @t99)) % 0.52/0.78 (assume @p71 (not @t101)) % 0.52/0.78 (assume @p72 true) % 0.52/0.78 (step @p73 :rule and_elim :premises (@p69) :args (3)) % 0.52/0.78 (step @p74 :rule eq-symm :args (@t102 @t103)) % 0.52/0.78 (step @p75 :rule aci_norm :args ((= (and @t103 true) @t103))) % 0.52/0.78 (step @p76 :rule absorb :args ((= (or @t104 true) true))) % 0.52/0.78 (step @p77 :rule eq-refl :args (tptp.xx)) % 0.52/0.78 (step @p78 :rule refl :args (@t104)) % 0.52/0.78 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t105)) % 0.52/0.78 (step @p80 :rule trans :premises (@p79 @p76)) % 0.52/0.78 (step @p81 :rule refl :args (@t103)) % 0.52/0.78 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t106)) % 0.52/0.78 (step @p83 :rule trans :premises (@p82 @p75)) % 0.52/0.78 (step @p84 :rule refl :args (@t102)) % 0.52/0.78 (step @p85 :rule cong :premises (@p84 @p83) :args (@t107)) % 0.52/0.78 (step @p86 :rule trans :premises (@p85 @p74)) % 0.52/0.78 (step @p87 :rule refl :args (@t97)) % 0.52/0.78 (step @p88 :rule cong :premises (@p87 @p86) :args ((=> @t97 @t107))) % 0.52/0.78 (assume-push @p260 @t97) % 0.52/0.78 (step @p90 :rule instantiate :premises (@p73) :args (@t108)) % 0.52/0.78 (step-pop @p261 :rule scope :premises (@p90)) % 0.52/0.78 (step @p91 :rule process_scope :premises (@p261) :args (@t107)) % 0.52/0.78 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 0.52/0.78 (step @p94 :rule implies_elim :premises (@p93)) % 0.52/0.78 (step @p95 :rule chain_m_resolution :premises (@p94 @p73) :args (@t109 @t110 (@list @t97))) % 0.52/0.78 (step @p96 :rule aci_norm :args ((= @t116 (or @t114 @t113 @t112)))) % 0.52/0.78 (step @p97 :rule cong :premises (@p96) :args (@t117)) % 0.52/0.78 (step @p98 :rule quant-merge-prenex :args ((= (forall @t3 @t119) @t117))) % 0.52/0.78 (step @p99 :rule alpha_equiv :args (@t120 (@list @t111) @t121)) % 0.52/0.78 (step @p100 :rule refl :args (@t114)) % 0.52/0.78 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t122)) % 0.52/0.78 (step @p102 :rule quant-miniscope-or :args ((= @t119 @t122))) % 0.52/0.78 (step @p103 :rule trans :premises (@p102 @p101)) % 0.52/0.78 (step @p104 :rule symm :premises (@p103)) % 0.52/0.78 (step @p105 :rule cong :premises (@p104) :args ((forall @t3 (or @t114 @t123)))) % 0.52/0.78 (step @p106 :rule trans :premises (@p105 @p98)) % 0.52/0.78 (step @p107 :rule trans :premises (@p106 @p97)) % 0.52/0.78 (step @p108 :rule bool-impl-elim :args (@t2 @t123)) % 0.52/0.78 (step @p109 :rule cong :premises (@p108) :args ((forall @t3 (=> @t2 @t123)))) % 0.52/0.78 (step @p110 :rule trans :premises (@p109 @p107)) % 0.52/0.78 (step @p111 :rule bool-impl-elim :args (@t7 @t6)) % 0.52/0.78 (step @p112 :rule cong :premises (@p111) :args (@t9)) % 0.52/0.78 (step @p113 :rule refl :args (@t2)) % 0.52/0.78 (step @p114 :rule cong :premises (@p113 @p112) :args (@t10)) % 0.52/0.78 (step @p115 :rule cong :premises (@p114) :args (@t11)) % 0.52/0.78 (step @p116 :rule trans :premises (@p115 @p110)) % 0.52/0.78 (step @p117 :rule eq_resolve :premises (@p3 @p116)) % 0.52/0.78 (step @p118 :rule instantiate :premises (@p117) :args ((@list tptp.xS tptp.xx))) % 0.52/0.78 (step @p119 :rule and_elim :premises (@p62) :args (0)) % 0.52/0.78 (step @p120 :rule cnf_or_pos :args (@t126)) % 0.52/0.78 (step @p121 :rule reordering :premises (@p120) :args ((or @t125 @t124 @t103 (not @t126)))) % 0.52/0.78 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p64 @p118) :args (@t103 (@list false false false) (@list @t68 @t89 @t126))) % 0.52/0.78 (step @p123 :rule cnf_equiv_pos1 :args (@t109)) % 0.52/0.78 (step @p124 :rule reordering :premises (@p123) :args ((or (not @t103) @t102 (not @t109)))) % 0.52/0.78 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p95) :args (@t102 @t127 (@list @t103 @t109))) % 0.52/0.78 (step @p126 :rule cnf_or_pos :args (@t129)) % 0.52/0.78 (step @p127 :rule reordering :premises (@p126) :args ((or @t101 @t128 @t130))) % 0.52/0.78 (step @p128 :rule chain_m_resolution :premises (@p127 @p71 @p125) :args (@t130 (@list true false) (@list @t101 @t102))) % 0.52/0.78 (assume-push @p262 @t131) % 0.52/0.78 (step @p130 :rule instantiate :premises (@p262) :args (@t108)) % 0.52/0.78 (step-pop @p263 :rule scope :premises (@p130)) % 0.52/0.78 (step @p131 :rule process_scope :premises (@p263) :args (@t129)) % 0.52/0.78 (step @p133 :rule implies_elim :premises (@p131)) % 0.52/0.78 (step @p134 :rule chain_m_resolution :premises (@p133 @p128) :args ((not @t131) (@list true) (@list @t129))) % 0.52/0.78 (step @p135 :rule quant-merge-prenex :args ((= (forall @t3 @t136) (forall (@list @t1 @t132) @t134)))) % 0.52/0.78 (step @p136 :rule alpha_equiv :args (@t137 (@list @t132) @t121)) % 0.52/0.78 (step @p137 :rule nary_cong :premises (@p100 @p136) :args (@t138)) % 0.52/0.78 (step @p138 :rule quant-miniscope-or :args ((= @t136 @t138))) % 0.52/0.78 (step @p139 :rule trans :premises (@p138 @p137)) % 0.52/0.78 (step @p140 :rule symm :premises (@p139)) % 0.52/0.78 (step @p141 :rule cong :premises (@p140) :args ((forall @t3 (or @t114 @t139)))) % 0.52/0.78 (step @p142 :rule trans :premises (@p141 @p135)) % 0.52/0.78 (step @p143 :rule bool-impl-elim :args (@t2 @t139)) % 0.52/0.78 (step @p144 :rule cong :premises (@p143) :args ((forall @t3 (=> @t2 @t139)))) % 0.52/0.78 (step @p145 :rule trans :premises (@p144 @p142)) % 0.52/0.78 (step @p146 :rule bool-impl-elim :args (@t20 @t19)) % 0.52/0.78 (step @p147 :rule cong :premises (@p146) :args (@t22)) % 0.52/0.78 (step @p148 :rule refl :args (@t23)) % 0.52/0.78 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t24)) % 0.52/0.78 (step @p150 :rule refl :args (@t25)) % 0.52/0.78 (step @p151 :rule cong :premises (@p150 @p149) :args (@t26)) % 0.52/0.78 (step @p152 :rule cong :premises (@p151) :args (@t27)) % 0.52/0.78 (step @p153 :rule cong :premises (@p113 @p152) :args (@t28)) % 0.52/0.78 (step @p154 :rule cong :premises (@p153) :args (@t29)) % 0.52/0.78 (step @p155 :rule trans :premises (@p154 @p145)) % 0.52/0.78 (step @p156 :rule eq_resolve :premises (@p10 @p155)) % 0.52/0.78 (step @p157 :rule instantiate :premises (@p156) :args ((@list tptp.xT tptp.xP))) % 0.52/0.78 (step @p158 :rule and_elim :premises (@p62) :args (1)) % 0.52/0.78 (step @p159 :rule cnf_or_pos :args (@t145)) % 0.52/0.78 (step @p160 :rule reordering :premises (@p159) :args ((or @t144 @t143 (not @t145)))) % 0.52/0.78 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p157) :args (@t143 @t127 (@list @t67 @t145))) % 0.52/0.78 (step @p162 :rule refl :args (@t147)) % 0.52/0.78 (step @p163 :rule eq-symm :args (@t148 tptp.xk)) % 0.52/0.78 (step @p164 :rule cong :premises (@p163) :args (@t149)) % 0.52/0.78 (step @p165 :rule refl :args (@t150)) % 0.52/0.78 (step @p166 :rule nary_cong :premises (@p165 @p164 @p162) :args (@t151)) % 0.52/0.78 (step @p167 :rule cong :premises (@p166) :args (@t152)) % 0.52/0.78 (step @p168 :rule quant-merge-prenex :args ((= (forall @t165 @t164) (forall (@list @t153 @t157) @t162)))) % 0.52/0.78 (step @p169 :rule quant-unused-vars :args ((= @t166 @t155))) % 0.52/0.78 (step @p170 :rule quant-unused-vars :args ((= @t167 @t156))) % 0.52/0.78 (step @p171 :rule alpha_equiv :args (@t168 (@list @t157) @t121)) % 0.52/0.78 (step @p172 :rule quant-unused-vars :args ((= @t169 @t159))) % 0.52/0.78 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170 @p169) :args (@t170)) % 0.52/0.78 (step @p174 :rule quant-miniscope-and :args ((= @t171 @t170))) % 0.52/0.78 (step @p175 :rule trans :premises (@p174 @p173)) % 0.52/0.78 (step @p176 :rule refl :args (@t161)) % 0.52/0.78 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t172)) % 0.52/0.78 (step @p178 :rule quant-miniscope-or :args ((= @t164 @t172))) % 0.52/0.78 (step @p179 :rule trans :premises (@p178 @p177)) % 0.52/0.78 (step @p180 :rule symm :premises (@p179)) % 0.52/0.78 (step @p181 :rule cong :premises (@p180) :args ((forall @t165 (or @t161 (and @t159 @t173 @t156 @t155))))) % 0.52/0.78 (step @p182 :rule trans :premises (@p181 @p168)) % 0.52/0.78 (step @p183 :rule eq-symm :args (@t154 tptp.xk)) % 0.52/0.78 (step @p184 :rule refl :args (@t156)) % 0.52/0.78 (step @p185 :rule refl :args (@t173)) % 0.52/0.78 (step @p186 :rule refl :args (@t159)) % 0.52/0.78 (step @p187 :rule nary_cong :premises (@p186 @p185 @p184 @p183) :args (@t174)) % 0.52/0.78 (step @p188 :rule refl :args (@t161)) % 0.52/0.78 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t175)) % 0.52/0.78 (step @p190 :rule cong :premises (@p189) :args (@t176)) % 0.52/0.78 (step @p191 :rule trans :premises (@p190 @p182)) % 0.52/0.78 (step @p192 :rule nary_cong :premises (@p191 @p167) :args ((and @t176 @t152))) % 0.52/0.78 (step @p193 :rule alpha_equiv :args (@t182 @t183 (@list @t146))) % 0.52/0.78 (step @p194 :rule alpha_equiv :args (@t186 @t183 (@list @t153))) % 0.52/0.78 (step @p195 :rule nary_cong :premises (@p194 @p193) :args (@t187)) % 0.52/0.78 (step @p196 :rule quant-miniscope-and :args ((= (forall @t3 (and @t185 @t181)) @t187))) % 0.52/0.78 (step @p197 :rule trans :premises (@p196 @p195)) % 0.52/0.78 (step @p198 :rule trans :premises (@p197 @p192)) % 0.52/0.78 (step @p199 :rule aci_norm :args ((= (or (or @t180 @t177) @t76) @t181))) % 0.52/0.78 (step @p200 :rule refl :args (@t76)) % 0.52/0.78 (step @p201 :rule refl :args (@t177)) % 0.52/0.78 (step @p202 :rule refl :args (@t178)) % 0.52/0.78 (step @p203 :rule bool-and-de-morgan :args (@t2 @t179 true)) % 0.52/0.78 (step @p204 :rule nary_cong :premises (@p203 @p202) :args ((and (not @t188) @t178))) % 0.52/0.78 (step @p205 :rule bool-or-de-morgan :args (@t188 @t78 false)) % 0.52/0.78 (step @p206 :rule trans :premises (@p205 @p204)) % 0.52/0.78 (step @p207 :rule nary_cong :premises (@p206 @p201) :args ((or (not @t189) @t177))) % 0.52/0.78 (step @p208 :rule bool-and-de-morgan :args (@t189 @t71 true)) % 0.52/0.78 (step @p209 :rule trans :premises (@p208 @p207)) % 0.52/0.78 (step @p210 :rule nary_cong :premises (@p209 @p200) :args ((or (not @t190) @t76))) % 0.52/0.78 (step @p211 :rule trans :premises (@p210 @p199)) % 0.52/0.78 (step @p212 :rule bool-impl-elim :args (@t190 @t76)) % 0.52/0.78 (step @p213 :rule trans :premises (@p212 @p211)) % 0.52/0.78 (step @p214 :rule bool-impl-elim :args (@t76 @t184)) % 0.52/0.78 (step @p215 :rule nary_cong :premises (@p214 @p213) :args (@t191)) % 0.52/0.78 (step @p216 :rule cong :premises (@p215) :args ((forall @t3 @t191))) % 0.52/0.78 (step @p217 :rule trans :premises (@p216 @p198)) % 0.52/0.79 (step @p218 :rule refl :args (@t76)) % 0.52/0.79 (step @p219 :rule refl :args (@t71)) % 0.52/0.79 (step @p220 :rule refl :args (@t78)) % 0.52/0.79 (step @p221 :rule bool-impl-elim :args (@t7 @t79)) % 0.52/0.79 (step @p222 :rule cong :premises (@p221) :args (@t80)) % 0.52/0.79 (step @p223 :rule nary_cong :premises (@p113 @p222) :args (@t81)) % 0.52/0.79 (step @p224 :rule nary_cong :premises (@p223 @p220) :args (@t82)) % 0.52/0.79 (step @p225 :rule nary_cong :premises (@p224 @p219) :args (@t83)) % 0.52/0.79 (step @p226 :rule cong :premises (@p225 @p218) :args (@t84)) % 0.52/0.79 (step @p227 :rule nary_cong :premises (@p113 @p222 @p220 @p219) :args (@t85)) % 0.52/0.79 (step @p228 :rule cong :premises (@p218 @p227) :args (@t86)) % 0.52/0.79 (step @p229 :rule nary_cong :premises (@p228 @p226) :args (@t87)) % 0.52/0.79 (step @p230 :rule cong :premises (@p229) :args (@t88)) % 0.52/0.79 (step @p231 :rule trans :premises (@p230 @p217)) % 0.52/0.79 (step @p232 :rule and_elim :premises (@p63) :args (3)) % 0.52/0.79 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.52/0.79 (step @p234 :rule and_elim :premises (@p233) :args (0)) % 0.52/0.79 (step @p235 :rule instantiate :premises (@p234) :args ((@list tptp.xP tptp.xy))) % 0.52/0.79 (step @p236 :rule bool-impl-elim :args (@t70 @t76)) % 0.52/0.79 (step @p237 :rule cong :premises (@p236) :args (@t77)) % 0.52/0.79 (step @p238 :rule and_elim :premises (@p63) :args (4)) % 0.52/0.79 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 0.52/0.79 (step @p240 :rule instantiate :premises (@p239) :args ((@list tptp.xP))) % 0.52/0.79 (step @p241 :rule and_elim :premises (@p70) :args (3)) % 0.52/0.79 (step @p242 :rule cnf_or_pos :args (@t194)) % 0.52/0.79 (step @p243 :rule reordering :premises (@p242) :args ((or @t193 @t192 (not @t194)))) % 0.52/0.79 (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p240) :args (@t192 @t127 (@list @t99 @t194))) % 0.52/0.79 (step @p245 :rule cnf_or_pos :args (@t197)) % 0.52/0.79 (step @p246 :rule reordering :premises (@p245) :args ((or @t196 @t195 (not @t197)))) % 0.52/0.79 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p235) :args (@t195 @t127 (@list @t192 @t197))) % 0.52/0.79 (step @p248 :rule cnf_and_pos :args (@t195 2)) % 0.52/0.79 (step @p249 :rule reordering :premises (@p248) :args ((or @t142 (not @t195)))) % 0.52/0.79 (step @p250 :rule chain_m_resolution :premises (@p249 @p247) :args (@t142 @t110 (@list @t195))) % 0.52/0.79 (step @p251 :rule cnf_equiv_pos1 :args (@t143)) % 0.52/0.79 (step @p252 :rule reordering :premises (@p251) :args ((or (not @t142) @t141 (not @t143)))) % 0.52/0.79 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p161) :args (@t141 @t127 (@list @t142 @t143))) % 0.52/0.79 (step @p254 :rule cnf_and_pos :args (@t141 1)) % 0.52/0.79 (step @p255 :rule reordering :premises (@p254) :args ((or @t140 (not @t141)))) % 0.52/0.79 (step @p256 :rule chain_m_resolution :premises (@p255 @p253) :args (@t140 @t110 (@list @t141))) % 0.52/0.79 (step @p257 :rule alpha_equiv :args (@t131 @t121 (@list @t18))) % 0.52/0.79 (step @p258 :rule equiv_elim2 :premises (@p257)) % 0.52/0.79 (step @p259 false :rule chain_m_resolution :premises (@p258 @p256 @p134) :args (false (@list false true) (@list @t140 @t131))) % 0.52/0.79 ) % 0.52/0.79 % SZS output end Proof % 0.52/0.79 % cvc5 exiting %------------------------------------------------------------------------------