%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM556+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 : n001.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 08:39:49 AM UTC 2026 % Result : Theorem 0.38s 0.80s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM556+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 11:30:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.80 % SZS status Theorem % 0.38/0.80 % SZS output start Proof % 0.38/0.80 ( % 0.38/0.80 (declare-sort $$unsorted 0) % 0.38/0.80 (declare-const tptp.xQ $$unsorted) % 0.38/0.80 (declare-const tptp.xx $$unsorted) % 0.38/0.80 (declare-const tptp.xT $$unsorted) % 0.38/0.80 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.xP $$unsorted) % 0.38/0.80 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.xS $$unsorted) % 0.38/0.80 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.xy $$unsorted) % 0.38/0.80 (declare-const tptp.slcrc0 $$unsorted) % 0.38/0.80 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.xk $$unsorted) % 0.38/0.80 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.szNzAzT0 $$unsorted) % 0.38/0.80 (declare-const tptp.sz00 $$unsorted) % 0.38/0.80 (define @t1 () (@var "W0" $$unsorted)) % 0.38/0.80 (define @t2 () (tptp.aSet0 @t1)) % 0.38/0.80 (define @t3 () (@list @t1)) % 0.38/0.80 (define @t4 () (tptp.aElement0 @t1)) % 0.38/0.80 (define @t5 () (@var "W1" $$unsorted)) % 0.38/0.80 (define @t6 () (tptp.aElement0 @t5)) % 0.38/0.80 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.38/0.80 (define @t8 () (@list @t5)) % 0.38/0.80 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.38/0.80 (define @t10 () (=> @t2 @t9)) % 0.38/0.80 (define @t11 () (forall @t3 @t10)) % 0.38/0.80 (define @t12 () (tptp.isFinite0 @t1)) % 0.38/0.80 (define @t13 () (= @t1 tptp.slcrc0)) % 0.38/0.80 (define @t14 () (tptp.isCountable0 @t1)) % 0.38/0.80 (define @t15 () (not @t12)) % 0.38/0.80 (define @t16 () (and @t2 @t14)) % 0.38/0.80 (define @t17 () (not @t13)) % 0.38/0.80 (define @t18 () (@var "W2" $$unsorted)) % 0.38/0.80 (define @t19 () (tptp.aElementOf0 @t18 @t1)) % 0.38/0.80 (define @t20 () (tptp.aElementOf0 @t18 @t5)) % 0.38/0.80 (define @t21 () (@list @t18)) % 0.38/0.80 (define @t22 () (tptp.aSet0 @t5)) % 0.38/0.80 (define @t23 () (tptp.aSubsetOf0 @t5 @t1)) % 0.38/0.80 (define @t24 () (tptp.isFinite0 @t5)) % 0.38/0.80 (define @t25 () (and @t2 @t12)) % 0.38/0.80 (define @t26 () (= @t1 @t5)) % 0.38/0.80 (define @t27 () (tptp.aSubsetOf0 @t1 @t5)) % 0.38/0.80 (define @t28 () (@list @t1 @t5)) % 0.38/0.80 (define @t29 () (tptp.aSet0 @t18)) % 0.38/0.80 (define @t30 () (@list @t1 @t5 @t18)) % 0.38/0.80 (define @t31 () (@var "W3" $$unsorted)) % 0.38/0.80 (define @t32 () (= @t31 @t5)) % 0.38/0.80 (define @t33 () (tptp.aElementOf0 @t31 @t1)) % 0.38/0.80 (define @t34 () (tptp.aElement0 @t31)) % 0.38/0.80 (define @t35 () (tptp.aElementOf0 @t31 @t18)) % 0.38/0.80 (define @t36 () (@list @t31)) % 0.38/0.80 (define @t37 () (tptp.sdtpldt0 @t1 @t5)) % 0.38/0.80 (define @t38 () (and @t2 @t6)) % 0.38/0.80 (define @t39 () (tptp.sdtmndt0 @t1 @t5)) % 0.38/0.80 (define @t40 () (tptp.sdtpldt0 @t5 @t1)) % 0.38/0.80 (define @t41 () (and @t22 (tptp.isCountable0 @t5))) % 0.38/0.80 (define @t42 () (tptp.sdtmndt0 @t5 @t1)) % 0.38/0.80 (define @t43 () (and @t22 @t24)) % 0.38/0.80 (define @t44 () (tptp.isFinite0 @t42)) % 0.38/0.80 (define @t45 () (forall @t8 (=> @t43 @t44))) % 0.38/0.80 (define @t46 () (=> @t4 @t45)) % 0.38/0.80 (define @t47 () (forall @t3 @t46)) % 0.38/0.80 (define @t48 () (tptp.szszuzczcdt0 @t1)) % 0.38/0.80 (define @t49 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 0.38/0.80 (define @t50 () (tptp.szszuzczcdt0 @t5)) % 0.38/0.80 (define @t51 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 0.38/0.80 (define @t52 () (and @t49 @t51)) % 0.38/0.80 (define @t53 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.38/0.80 (define @t54 () (tptp.sdtlseqdt0 @t5 @t18)) % 0.38/0.80 (define @t55 () (tptp.aElementOf0 @t18 tptp.szNzAzT0)) % 0.38/0.80 (define @t56 () (tptp.sbrdtbr0 @t1)) % 0.38/0.80 (define @t57 () (tptp.szszuzczcdt0 @t56)) % 0.38/0.80 (define @t58 () (= (tptp.sbrdtbr0 @t37) @t57)) % 0.38/0.80 (define @t59 () (not @t7)) % 0.38/0.80 (define @t60 () (=> @t59 @t58)) % 0.38/0.80 (define @t61 () (forall @t8 (=> @t6 @t60))) % 0.38/0.80 (define @t62 () (=> @t25 @t61)) % 0.38/0.80 (define @t63 () (forall @t3 @t62)) % 0.38/0.80 (define @t64 () (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t39))) % 0.38/0.80 (define @t65 () (and @t12 @t7)) % 0.38/0.80 (define @t66 () (=> @t65 (= @t64 @t56))) % 0.38/0.80 (define @t67 () (forall @t8 @t66)) % 0.38/0.80 (define @t68 () (=> @t2 @t67)) % 0.38/0.80 (define @t69 () (forall @t3 @t68)) % 0.38/0.80 (define @t70 () (and @t2 @t51)) % 0.38/0.80 (define @t71 () (tptp.szmzizndt0 @t1)) % 0.38/0.80 (define @t72 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 0.38/0.80 (define @t73 () (tptp.szmzizndt0 @t5)) % 0.38/0.80 (define @t74 () (tptp.slbdtrb0 @t1)) % 0.38/0.80 (define @t75 () (tptp.slbdtrb0 @t5)) % 0.38/0.80 (define @t76 () (tptp.slbdtsldtrb0 @t1 @t5)) % 0.38/0.80 (define @t77 () (tptp.aSet0 tptp.xS)) % 0.38/0.80 (define @t78 () (tptp.slbdtsldtrb0 tptp.xS tptp.xk)) % 0.38/0.80 (define @t79 () (tptp.aElementOf0 @t1 @t78)) % 0.38/0.80 (define @t80 () (= @t56 tptp.xk)) % 0.38/0.80 (define @t81 () (tptp.aSubsetOf0 @t1 tptp.xS)) % 0.38/0.80 (define @t82 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS)))) % 0.38/0.80 (define @t83 () (forall @t3 (and (=> @t79 (and @t2 @t82 @t81 @t80)) (=> (and (or (and @t2 @t82) @t81) @t80) @t79)))) % 0.38/0.80 (define @t84 () (tptp.slbdtsldtrb0 tptp.xT tptp.xk)) % 0.38/0.80 (define @t85 () (tptp.aElementOf0 @t1 @t84)) % 0.38/0.80 (define @t86 () (tptp.aSubsetOf0 @t1 tptp.xT)) % 0.38/0.80 (define @t87 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xT)))) % 0.38/0.80 (define @t88 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 0.38/0.80 (define @t89 () (tptp.sbrdtbr0 tptp.xQ)) % 0.38/0.80 (define @t90 () (= @t89 tptp.xk)) % 0.38/0.80 (define @t91 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.38/0.80 (define @t92 () (tptp.aElementOf0 @t1 tptp.xQ)) % 0.38/0.80 (define @t93 () (forall @t3 (=> @t92 @t91))) % 0.38/0.80 (define @t94 () (tptp.aSet0 tptp.xQ)) % 0.38/0.80 (define @t95 () (tptp.isFinite0 tptp.xQ)) % 0.38/0.80 (define @t96 () (tptp.aElementOf0 tptp.xy tptp.xQ)) % 0.38/0.80 (define @t97 () (tptp.aElement0 tptp.xy)) % 0.38/0.80 (define @t98 () (tptp.sdtmndt0 tptp.xQ tptp.xy)) % 0.38/0.80 (define @t99 () (tptp.sdtpldt0 @t98 tptp.xx)) % 0.38/0.80 (define @t100 () (tptp.aElementOf0 @t1 @t98)) % 0.38/0.80 (define @t101 () (tptp.aElementOf0 @t1 tptp.xP)) % 0.38/0.80 (define @t102 () (forall @t3 (= @t101 (and @t4 (or @t100 (= @t1 tptp.xx)))))) % 0.38/0.80 (define @t103 () (forall @t3 (= @t100 (and @t4 @t92 (not (= @t1 tptp.xy)))))) % 0.38/0.80 (define @t104 () (tptp.aSet0 @t98)) % 0.38/0.80 (define @t105 () (tptp.aElementOf0 tptp.xx @t98)) % 0.38/0.80 (define @t106 () (tptp.sbrdtbr0 tptp.xP)) % 0.38/0.80 (define @t107 () (tptp.aSubsetOf0 tptp.xP tptp.xS)) % 0.38/0.80 (define @t108 () (forall @t3 (=> @t101 @t91))) % 0.38/0.80 (define @t109 () (or @t108 @t107)) % 0.38/0.80 (define @t110 () (and @t109 (= @t106 tptp.xk))) % 0.38/0.80 (define @t111 () (not @t110)) % 0.38/0.80 (define @t112 () (tptp.sbrdtbr0 @t99)) % 0.38/0.80 (define @t113 () (@var "BOUND_VARIABLE_8319" $$unsorted)) % 0.38/0.80 (define @t114 () (tptp.sbrdtbr0 (tptp.sdtpldt0 @t1 @t113))) % 0.38/0.80 (define @t115 () (tptp.aElementOf0 @t113 @t1)) % 0.38/0.80 (define @t116 () (not (tptp.aElement0 @t113))) % 0.38/0.80 (define @t117 () (not @t2)) % 0.38/0.80 (define @t118 () (= @t114 @t57)) % 0.38/0.80 (define @t119 () (or @t117 @t15 @t116 @t115 @t118)) % 0.38/0.80 (define @t120 () (or @t116 @t115 @t118)) % 0.38/0.80 (define @t121 () (or @t117 @t15 @t120)) % 0.38/0.80 (define @t122 () (forall (@list @t1 @t113) @t121)) % 0.38/0.80 (define @t123 () (@list @t113)) % 0.38/0.80 (define @t124 () (forall @t123 @t121)) % 0.38/0.80 (define @t125 () (forall @t123 @t120)) % 0.38/0.80 (define @t126 () (@list @t5)) % 0.38/0.80 (define @t127 () (or @t117 @t15 @t125)) % 0.38/0.80 (define @t128 () (not @t6)) % 0.38/0.80 (define @t129 () (or @t128 @t7 @t58)) % 0.38/0.80 (define @t130 () (forall @t8 @t129)) % 0.38/0.80 (define @t131 () (or @t117 @t15 @t130)) % 0.38/0.80 (define @t132 () (@var "BOUND_VARIABLE_7922" $$unsorted)) % 0.38/0.80 (define @t133 () (tptp.aElement0 @t132)) % 0.38/0.80 (define @t134 () (not (tptp.aElementOf0 @t132 @t1))) % 0.38/0.80 (define @t135 () (or @t134 @t133)) % 0.38/0.80 (define @t136 () (or @t117 @t135)) % 0.38/0.80 (define @t137 () (forall (@list @t1 @t132) @t136)) % 0.38/0.80 (define @t138 () (@list @t132)) % 0.38/0.80 (define @t139 () (forall @t138 @t136)) % 0.38/0.80 (define @t140 () (forall @t138 @t135)) % 0.38/0.80 (define @t141 () (or @t117 @t140)) % 0.38/0.80 (define @t142 () (forall @t8 (or @t59 @t6))) % 0.38/0.80 (define @t143 () (tptp.aElement0 tptp.xx)) % 0.38/0.80 (define @t144 () (not @t88)) % 0.38/0.80 (define @t145 () (not @t77)) % 0.38/0.80 (define @t146 () (or @t145 @t144 @t143)) % 0.38/0.80 (define @t147 () (@var "BOUND_VARIABLE_8204" $$unsorted)) % 0.38/0.80 (define @t148 () (tptp.isFinite0 (tptp.sdtmndt0 @t147 @t1))) % 0.38/0.80 (define @t149 () (not (tptp.isFinite0 @t147))) % 0.38/0.80 (define @t150 () (not (tptp.aSet0 @t147))) % 0.38/0.80 (define @t151 () (not @t4)) % 0.38/0.80 (define @t152 () (or @t150 @t149 @t148)) % 0.38/0.80 (define @t153 () (or @t151 @t152)) % 0.38/0.80 (define @t154 () (forall (@list @t1 @t147) @t153)) % 0.38/0.80 (define @t155 () (@list @t147)) % 0.38/0.80 (define @t156 () (forall @t155 @t153)) % 0.38/0.80 (define @t157 () (forall @t155 @t152)) % 0.38/0.80 (define @t158 () (or @t151 @t157)) % 0.38/0.80 (define @t159 () (not @t24)) % 0.38/0.80 (define @t160 () (not @t22)) % 0.38/0.80 (define @t161 () (or @t160 @t159 @t44)) % 0.38/0.80 (define @t162 () (forall @t8 @t161)) % 0.38/0.80 (define @t163 () (tptp.isFinite0 @t98)) % 0.38/0.80 (define @t164 () (not @t95)) % 0.38/0.80 (define @t165 () (not @t94)) % 0.38/0.80 (define @t166 () (not @t97)) % 0.38/0.80 (define @t167 () (or @t166 @t165 @t164 @t163)) % 0.38/0.80 (define @t168 () (@list false false false false)) % 0.38/0.80 (define @t169 () (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t98))) % 0.38/0.80 (define @t170 () (= @t169 @t112)) % 0.38/0.80 (define @t171 () (not @t143)) % 0.38/0.80 (define @t172 () (not @t163)) % 0.38/0.80 (define @t173 () (not @t104)) % 0.38/0.80 (define @t174 () (or @t173 @t172 @t171 @t105 @t170)) % 0.38/0.80 (define @t175 () (@var "BOUND_VARIABLE_8350" $$unsorted)) % 0.38/0.80 (define @t176 () (= @t56 (tptp.szszuzczcdt0 (tptp.sbrdtbr0 (tptp.sdtmndt0 @t1 @t175))))) % 0.38/0.80 (define @t177 () (not (tptp.aElementOf0 @t175 @t1))) % 0.38/0.80 (define @t178 () (or @t177 @t176)) % 0.38/0.80 (define @t179 () (or @t117 @t15 @t178)) % 0.38/0.80 (define @t180 () (forall (@list @t1 @t175) @t179)) % 0.38/0.80 (define @t181 () (@list @t175)) % 0.38/0.80 (define @t182 () (forall @t181 @t179)) % 0.38/0.80 (define @t183 () (forall @t181 @t178)) % 0.38/0.80 (define @t184 () (or @t117 @t15 @t183)) % 0.38/0.80 (define @t185 () (= @t56 @t64)) % 0.38/0.80 (define @t186 () (or @t59 @t185)) % 0.38/0.80 (define @t187 () (forall @t8 @t186)) % 0.38/0.80 (define @t188 () (or @t117 @t15 @t187)) % 0.38/0.80 (define @t189 () (or @t15 @t187)) % 0.38/0.80 (define @t190 () (or @t15 @t186)) % 0.38/0.80 (define @t191 () (or @t15 @t59 @t185)) % 0.38/0.80 (define @t192 () (= @t89 @t169)) % 0.38/0.80 (define @t193 () (not @t96)) % 0.38/0.80 (define @t194 () (or @t165 @t164 @t193 @t192)) % 0.38/0.80 (define @t195 () (forall @t3 (or (not @t101) @t91))) % 0.38/0.80 (define @t196 () (or @t195 @t107)) % 0.38/0.80 (define @t197 () (@list false)) % 0.38/0.80 (define @t198 () (@list true)) % 0.38/0.80 (define @t199 () (@quantifiers_skolemize @t195 0)) % 0.38/0.80 (define @t200 () (tptp.aElementOf0 @t199 tptp.xS)) % 0.38/0.80 (define @t201 () (tptp.aElementOf0 @t199 tptp.xP)) % 0.38/0.80 (define @t202 () (not @t201)) % 0.38/0.80 (define @t203 () (or @t202 @t200)) % 0.38/0.80 (define @t204 () (@list @t203)) % 0.38/0.80 (define @t205 () (tptp.aElementOf0 @t199 @t98)) % 0.38/0.80 (define @t206 () (or @t205 (= @t199 tptp.xx))) % 0.38/0.80 (define @t207 () (tptp.aElement0 @t199)) % 0.38/0.80 (define @t208 () (and @t207 @t206)) % 0.38/0.80 (define @t209 () (= @t201 @t208)) % 0.38/0.80 (define @t210 () (@list @t199)) % 0.38/0.80 (define @t211 () (= tptp.xx @t199)) % 0.38/0.80 (define @t212 () (or @t205 @t211)) % 0.38/0.80 (define @t213 () (and @t207 @t212)) % 0.38/0.80 (define @t214 () (= @t201 @t213)) % 0.38/0.80 (define @t215 () (not (= @t199 tptp.xy))) % 0.38/0.80 (define @t216 () (tptp.aElementOf0 @t199 tptp.xQ)) % 0.38/0.80 (define @t217 () (and @t207 @t216 @t215)) % 0.38/0.80 (define @t218 () (= @t205 @t217)) % 0.38/0.80 (define @t219 () (and @t207 @t216 (not (= tptp.xy @t199)))) % 0.38/0.80 (define @t220 () (= @t205 @t219)) % 0.38/0.80 (define @t221 () (not @t216)) % 0.38/0.80 (define @t222 () (or @t221 @t200)) % 0.38/0.80 (define @t223 () (@list true false)) % 0.38/0.80 (define @t224 () (not @t219)) % 0.38/0.80 (define @t225 () (not @t205)) % 0.38/0.80 (assume @p1 (forall @t3 (=> @t2 true))) % 0.38/0.80 (assume @p2 (forall @t3 (=> @t4 true))) % 0.38/0.80 (assume @p3 @t11) % 0.38/0.80 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 0.38/0.80 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 0.38/0.80 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.38/0.80 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 0.38/0.80 (assume @p8 (forall @t3 (=> @t16 @t15))) % 0.38/0.80 (assume @p9 (forall @t3 (=> @t16 @t17))) % 0.38/0.80 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t23 (and @t22 (forall @t21 (=> @t20 @t19)))))))) % 0.38/0.80 (assume @p11 (forall @t3 (=> @t25 (forall @t8 (=> @t23 @t24))))) % 0.38/0.80 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.38/0.80 (assume @p13 (forall @t28 (=> (and @t2 @t22) (=> (and @t27 @t23) @t26)))) % 0.38/0.80 (assume @p14 (forall @t30 (=> (and @t2 @t22 @t29) (=> (and @t27 (tptp.aSubsetOf0 @t5 @t18)) (tptp.aSubsetOf0 @t1 @t18))))) % 0.38/0.80 (assume @p15 (forall @t28 (=> @t38 (forall @t21 (= (= @t18 @t37) (and @t29 (forall @t36 (= @t35 (and @t34 (or @t33 @t32)))))))))) % 0.38/0.80 (assume @p16 (forall @t28 (=> @t38 (forall @t21 (= (= @t18 @t39) (and @t29 (forall @t36 (= @t35 (and @t34 @t33 (not @t32)))))))))) % 0.38/0.80 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t39 @t5) @t1)))))) % 0.38/0.80 (assume @p18 (forall @t28 (=> (and @t4 @t22) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t40 @t1) @t5))))) % 0.38/0.80 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t41 (tptp.isCountable0 @t40)))))) % 0.38/0.80 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t41 (tptp.isCountable0 @t42)))))) % 0.38/0.80 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t43 (tptp.isFinite0 @t40)))))) % 0.38/0.80 (assume @p22 @t47) % 0.38/0.80 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 0.38/0.80 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 0.38/0.80 (assume @p25 (forall @t3 (=> @t49 (and (tptp.aElementOf0 @t48 tptp.szNzAzT0) (not (= @t48 tptp.sz00)))))) % 0.38/0.80 (assume @p26 (forall @t28 (=> @t52 (=> (= @t48 @t50) @t26)))) % 0.38/0.80 (assume @p27 (forall @t3 (=> @t49 (or (= @t1 tptp.sz00) (exists @t8 (and @t51 (= @t1 @t50))))))) % 0.38/0.80 (assume @p28 (forall @t3 (=> @t49 (not (= @t1 @t48))))) % 0.38/0.80 (assume @p29 (forall @t28 (=> @t52 (=> @t53 true)))) % 0.38/0.80 (assume @p30 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 0.38/0.80 (assume @p31 (forall @t3 (=> @t49 (not (tptp.sdtlseqdt0 @t48 tptp.sz00))))) % 0.38/0.80 (assume @p32 (forall @t28 (=> @t52 (= @t53 (tptp.sdtlseqdt0 @t48 @t50))))) % 0.38/0.80 (assume @p33 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 @t1 @t48)))) % 0.38/0.80 (assume @p34 (forall @t3 (=> @t49 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.38/0.80 (assume @p35 (forall @t28 (=> @t52 (=> (and @t53 (tptp.sdtlseqdt0 @t5 @t1)) @t26)))) % 0.38/0.80 (assume @p36 (forall @t30 (=> (and @t49 @t51 @t55) (=> (and @t53 @t54) (tptp.sdtlseqdt0 @t1 @t18))))) % 0.38/0.80 (assume @p37 (forall @t28 (=> @t52 (or @t53 (tptp.sdtlseqdt0 @t50 @t1))))) % 0.38/0.80 (assume @p38 (forall @t28 (=> @t52 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.38/0.80 (assume @p39 (forall @t3 (=> @t49 (tptp.iLess0 @t1 @t48)))) % 0.38/0.80 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t56)))) % 0.38/0.80 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t56 tptp.szNzAzT0) @t12)))) % 0.38/0.80 (assume @p42 (forall @t3 (=> @t2 (= (= @t56 tptp.sz00) @t13)))) % 0.38/0.80 (assume @p43 @t63) % 0.38/0.80 (assume @p44 @t69) % 0.38/0.80 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t23) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t56)))))) % 0.38/0.80 (assume @p46 (forall @t28 (=> @t70 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t56)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5))))))) % 0.38/0.80 (assume @p47 (forall @t3 (=> (and @t72 @t17) (forall @t8 (= (= @t5 @t71) (and @t7 (forall @t21 (=> @t19 @t54)))))))) % 0.38/0.80 (assume @p48 (forall @t3 (=> (and @t72 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5))))))))) % 0.38/0.80 (assume @p49 (forall @t28 (=> (and @t72 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t71 @t5) (tptp.aElementOf0 @t73 @t1)) (= @t71 @t73))))) % 0.38/0.80 (assume @p50 (forall @t3 (=> @t49 (forall @t8 (= (= @t5 @t74) (and @t22 (forall @t21 (= @t20 (and @t55 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1)))))))))) % 0.38/0.80 (assume @p51 (forall @t3 (=> @t49 (tptp.isFinite0 @t74)))) % 0.38/0.80 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 0.38/0.80 (assume @p53 (forall @t28 (=> @t52 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t50)) (or (tptp.aElementOf0 @t1 @t75) @t26))))) % 0.38/0.80 (assume @p54 (forall @t28 (=> @t52 (= @t53 (tptp.aSubsetOf0 @t74 @t75))))) % 0.38/0.80 (assume @p55 (forall @t3 (=> (and @t72 @t12) (exists @t8 (and @t51 (tptp.aSubsetOf0 @t1 @t75)))))) % 0.38/0.80 (assume @p56 (forall @t3 (=> @t49 (= (tptp.sbrdtbr0 @t74) @t1)))) % 0.38/0.80 (assume @p57 (forall @t28 (=> @t70 (forall @t21 (= (= @t18 @t76) (and @t29 (forall @t36 (= @t35 (and (tptp.aSubsetOf0 @t31 @t1) (= (tptp.sbrdtbr0 @t31) @t5)))))))))) % 0.38/0.80 (assume @p58 (forall @t3 (=> @t25 (forall @t8 (=> @t51 (tptp.isFinite0 @t76)))))) % 0.38/0.80 (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t51 (not (= @t76 tptp.slcrc0))))))) % 0.38/0.80 (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t51 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t76)))))) % 0.38/0.80 (assume @p61 (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 0.38/0.80 (assume @p62 (and @t77 (tptp.aSet0 tptp.xT) (not (= tptp.xk tptp.sz00)))) % 0.38/0.80 (assume @p63 (and (tptp.aSet0 @t78) @t83 (tptp.aSet0 @t84) (forall @t3 (and (=> @t85 (and @t2 @t87 @t86 @t80)) (=> (and (or (and @t2 @t87) @t86) @t80) @t85))) (forall @t3 (=> @t79 @t85)) (tptp.aSubsetOf0 @t78 @t84) (not (=> @t83 (or (not (exists @t3 @t79)) (= @t78 tptp.slcrc0)))))) % 0.38/0.80 (assume @p64 @t88) % 0.38/0.80 (assume @p65 (and @t94 @t93 (tptp.aSubsetOf0 tptp.xQ tptp.xS) @t90 (tptp.aElementOf0 tptp.xQ @t78))) % 0.38/0.80 (assume @p66 (and @t94 @t95 @t90)) % 0.38/0.80 (assume @p67 (and @t97 @t96)) % 0.38/0.80 (assume @p68 (not (tptp.aElementOf0 tptp.xx tptp.xQ))) % 0.38/0.80 (assume @p69 (and @t104 @t103 (tptp.aSet0 tptp.xP) @t102 (= tptp.xP @t99))) % 0.38/0.80 (assume @p70 (and (not @t105) @t104 @t103)) % 0.38/0.80 (assume @p71 @t111) % 0.38/0.80 (assume @p72 true) % 0.38/0.80 (step @p73 :rule evaluate :args ((= true false))) % 0.38/0.80 (step @p74 :rule and_elim :premises (@p69) :args (4)) % 0.38/0.80 (step @p75 :rule symm :premises (@p74)) % 0.38/0.80 (step @p76 :rule cong :premises (@p75) :args (@t112)) % 0.38/0.80 (step @p77 :rule eq-symm :args (@t114 @t57)) % 0.38/0.80 (step @p78 :rule refl :args (@t115)) % 0.38/0.80 (step @p79 :rule refl :args (@t116)) % 0.38/0.80 (step @p80 :rule refl :args (@t15)) % 0.38/0.80 (step @p81 :rule refl :args (@t117)) % 0.38/0.80 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79 @p78 @p77) :args (@t119)) % 0.38/0.80 (step @p83 :rule aci_norm :args ((= @t121 @t119))) % 0.38/0.80 (step @p84 :rule trans :premises (@p83 @p82)) % 0.38/0.80 (step @p85 :rule cong :premises (@p84) :args (@t122)) % 0.38/0.80 (step @p86 :rule quant-merge-prenex :args ((= (forall @t3 @t124) @t122))) % 0.38/0.80 (step @p87 :rule alpha_equiv :args (@t125 (@list @t113) @t126)) % 0.38/0.80 (step @p88 :rule refl :args (@t15)) % 0.38/0.80 (step @p89 :rule refl :args (@t117)) % 0.38/0.80 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87) :args (@t127)) % 0.38/0.80 (step @p91 :rule quant-miniscope-or :args ((= @t124 @t127))) % 0.38/0.80 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.80 (step @p93 :rule symm :premises (@p92)) % 0.38/0.80 (step @p94 :rule cong :premises (@p93) :args ((forall @t3 @t131))) % 0.38/0.80 (step @p95 :rule trans :premises (@p94 @p86)) % 0.38/0.80 (step @p96 :rule trans :premises (@p95 @p85)) % 0.38/0.80 (step @p97 :rule aci_norm :args ((= (or (or @t117 @t15) @t130) @t131))) % 0.38/0.80 (step @p98 :rule refl :args (@t130)) % 0.38/0.80 (step @p99 :rule bool-and-de-morgan :args (@t2 @t12 true)) % 0.38/0.80 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or (not @t25) @t130))) % 0.38/0.80 (step @p101 :rule trans :premises (@p100 @p97)) % 0.38/0.80 (step @p102 :rule bool-impl-elim :args (@t25 @t130)) % 0.38/0.80 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.80 (step @p104 :rule cong :premises (@p103) :args ((forall @t3 (=> @t25 @t130)))) % 0.38/0.80 (step @p105 :rule trans :premises (@p104 @p96)) % 0.38/0.80 (step @p106 :rule aci_norm :args ((= (or @t128 (or @t7 @t58)) @t129))) % 0.38/0.80 (step @p107 :rule refl :args (@t58)) % 0.38/0.80 (step @p108 :rule bool-double-not-elim :args (@t7)) % 0.38/0.80 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t59) @t58))) % 0.38/0.80 (step @p110 :rule bool-impl-elim :args (@t59 @t58)) % 0.38/0.80 (step @p111 :rule trans :premises (@p110 @p109)) % 0.38/0.80 (step @p112 :rule refl :args (@t128)) % 0.38/0.80 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t128 @t60))) % 0.38/0.80 (step @p114 :rule trans :premises (@p113 @p106)) % 0.38/0.80 (step @p115 :rule bool-impl-elim :args (@t6 @t60)) % 0.38/0.80 (step @p116 :rule trans :premises (@p115 @p114)) % 0.38/0.80 (step @p117 :rule cong :premises (@p116) :args (@t61)) % 0.38/0.80 (step @p118 :rule refl :args (@t25)) % 0.38/0.80 (step @p119 :rule cong :premises (@p118 @p117) :args (@t62)) % 0.38/0.80 (step @p120 :rule cong :premises (@p119) :args (@t63)) % 0.38/0.80 (step @p121 :rule trans :premises (@p120 @p105)) % 0.38/0.80 (step @p122 :rule eq_resolve :premises (@p43 @p121)) % 0.38/0.80 (step @p123 :rule instantiate :premises (@p122) :args ((@list @t98 tptp.xx))) % 0.38/0.80 (step @p124 :rule aci_norm :args ((= @t136 (or @t117 @t134 @t133)))) % 0.38/0.80 (step @p125 :rule cong :premises (@p124) :args (@t137)) % 0.38/0.80 (step @p126 :rule quant-merge-prenex :args ((= (forall @t3 @t139) @t137))) % 0.38/0.80 (step @p127 :rule alpha_equiv :args (@t140 (@list @t132) @t126)) % 0.38/0.80 (step @p128 :rule nary_cong :premises (@p89 @p127) :args (@t141)) % 0.38/0.80 (step @p129 :rule quant-miniscope-or :args ((= @t139 @t141))) % 0.38/0.80 (step @p130 :rule trans :premises (@p129 @p128)) % 0.38/0.80 (step @p131 :rule symm :premises (@p130)) % 0.38/0.80 (step @p132 :rule cong :premises (@p131) :args ((forall @t3 (or @t117 @t142)))) % 0.38/0.80 (step @p133 :rule trans :premises (@p132 @p126)) % 0.38/0.80 (step @p134 :rule trans :premises (@p133 @p125)) % 0.38/0.80 (step @p135 :rule bool-impl-elim :args (@t2 @t142)) % 0.38/0.80 (step @p136 :rule cong :premises (@p135) :args ((forall @t3 (=> @t2 @t142)))) % 0.38/0.80 (step @p137 :rule trans :premises (@p136 @p134)) % 0.38/0.80 (step @p138 :rule bool-impl-elim :args (@t7 @t6)) % 0.38/0.80 (step @p139 :rule cong :premises (@p138) :args (@t9)) % 0.38/0.80 (step @p140 :rule refl :args (@t2)) % 0.38/0.80 (step @p141 :rule cong :premises (@p140 @p139) :args (@t10)) % 0.38/0.80 (step @p142 :rule cong :premises (@p141) :args (@t11)) % 0.38/0.80 (step @p143 :rule trans :premises (@p142 @p137)) % 0.38/0.80 (step @p144 :rule eq_resolve :premises (@p3 @p143)) % 0.38/0.80 (step @p145 :rule instantiate :premises (@p144) :args ((@list tptp.xS tptp.xx))) % 0.38/0.80 (step @p146 :rule and_elim :premises (@p62) :args (0)) % 0.38/0.80 (step @p147 :rule cnf_or_pos :args (@t146)) % 0.38/0.80 (step @p148 :rule reordering :premises (@p147) :args ((or @t145 @t144 @t143 (not @t146)))) % 0.38/0.80 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p64 @p145) :args (@t143 (@list false false false) (@list @t77 @t88 @t146))) % 0.38/0.80 (step @p150 :rule aci_norm :args ((= @t153 (or @t151 @t150 @t149 @t148)))) % 0.38/0.80 (step @p151 :rule cong :premises (@p150) :args (@t154)) % 0.38/0.80 (step @p152 :rule quant-merge-prenex :args ((= (forall @t3 @t156) @t154))) % 0.38/0.80 (step @p153 :rule alpha_equiv :args (@t157 (@list @t147) @t126)) % 0.38/0.80 (step @p154 :rule refl :args (@t151)) % 0.38/0.80 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t158)) % 0.38/0.80 (step @p156 :rule quant-miniscope-or :args ((= @t156 @t158))) % 0.38/0.80 (step @p157 :rule trans :premises (@p156 @p155)) % 0.38/0.80 (step @p158 :rule symm :premises (@p157)) % 0.38/0.80 (step @p159 :rule cong :premises (@p158) :args ((forall @t3 (or @t151 @t162)))) % 0.38/0.80 (step @p160 :rule trans :premises (@p159 @p152)) % 0.38/0.80 (step @p161 :rule trans :premises (@p160 @p151)) % 0.38/0.80 (step @p162 :rule bool-impl-elim :args (@t4 @t162)) % 0.38/0.80 (step @p163 :rule cong :premises (@p162) :args ((forall @t3 (=> @t4 @t162)))) % 0.38/0.80 (step @p164 :rule trans :premises (@p163 @p161)) % 0.38/0.80 (step @p165 :rule aci_norm :args ((= (or (or @t160 @t159) @t44) @t161))) % 0.38/0.80 (step @p166 :rule refl :args (@t44)) % 0.38/0.80 (step @p167 :rule bool-and-de-morgan :args (@t22 @t24 true)) % 0.38/0.80 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or (not @t43) @t44))) % 0.38/0.80 (step @p169 :rule trans :premises (@p168 @p165)) % 0.38/0.80 (step @p170 :rule bool-impl-elim :args (@t43 @t44)) % 0.38/0.80 (step @p171 :rule trans :premises (@p170 @p169)) % 0.38/0.80 (step @p172 :rule cong :premises (@p171) :args (@t45)) % 0.38/0.80 (step @p173 :rule refl :args (@t4)) % 0.38/0.80 (step @p174 :rule cong :premises (@p173 @p172) :args (@t46)) % 0.38/0.80 (step @p175 :rule cong :premises (@p174) :args (@t47)) % 0.38/0.80 (step @p176 :rule trans :premises (@p175 @p164)) % 0.38/0.80 (step @p177 :rule eq_resolve :premises (@p22 @p176)) % 0.38/0.80 (step @p178 :rule instantiate :premises (@p177) :args ((@list tptp.xy tptp.xQ))) % 0.38/0.80 (step @p179 :rule and_elim :premises (@p67) :args (0)) % 0.38/0.80 (step @p180 :rule and_elim :premises (@p66) :args (1)) % 0.38/0.80 (step @p181 :rule and_elim :premises (@p65) :args (0)) % 0.38/0.80 (step @p182 :rule cnf_or_pos :args (@t167)) % 0.38/0.80 (step @p183 :rule reordering :premises (@p182) :args ((or @t165 @t164 @t166 @t163 (not @t167)))) % 0.38/0.80 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p180 @p179 @p178) :args (@t163 @t168 (@list @t94 @t95 @t97 @t167))) % 0.38/0.80 (step @p185 :rule and_elim :premises (@p69) :args (0)) % 0.38/0.80 (step @p186 :rule and_elim :premises (@p70) :args (0)) % 0.38/0.80 (step @p187 :rule cnf_or_pos :args (@t174)) % 0.38/0.80 (step @p188 :rule reordering :premises (@p187) :args ((or @t105 @t173 @t172 @t171 @t170 (not @t174)))) % 0.38/0.80 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p185 @p184 @p149 @p123) :args (@t170 (@list true false false false false) (@list @t105 @t104 @t163 @t143 @t174))) % 0.38/0.80 (step @p190 :rule aci_norm :args ((= @t179 (or @t117 @t15 @t177 @t176)))) % 0.38/0.80 (step @p191 :rule cong :premises (@p190) :args (@t180)) % 0.38/0.80 (step @p192 :rule quant-merge-prenex :args ((= (forall @t3 @t182) @t180))) % 0.38/0.80 (step @p193 :rule alpha_equiv :args (@t183 (@list @t175) @t126)) % 0.38/0.80 (step @p194 :rule nary_cong :premises (@p89 @p88 @p193) :args (@t184)) % 0.38/0.80 (step @p195 :rule quant-miniscope-or :args ((= @t182 @t184))) % 0.38/0.80 (step @p196 :rule trans :premises (@p195 @p194)) % 0.38/0.80 (step @p197 :rule symm :premises (@p196)) % 0.38/0.80 (step @p198 :rule cong :premises (@p197) :args ((forall @t3 @t188))) % 0.38/0.80 (step @p199 :rule trans :premises (@p198 @p192)) % 0.38/0.80 (step @p200 :rule trans :premises (@p199 @p191)) % 0.38/0.80 (step @p201 :rule aci_norm :args ((= (or @t117 @t189) @t188))) % 0.38/0.80 (step @p202 :rule bool-impl-elim :args (@t2 @t189)) % 0.38/0.80 (step @p203 :rule trans :premises (@p202 @p201)) % 0.38/0.80 (step @p204 :rule cong :premises (@p203) :args ((forall @t3 (=> @t2 @t189)))) % 0.38/0.80 (step @p205 :rule trans :premises (@p204 @p200)) % 0.38/0.80 (step @p206 :rule quant-miniscope-or :args ((= (forall @t8 @t190) @t189))) % 0.38/0.80 (step @p207 :rule aci_norm :args ((= @t191 @t190))) % 0.38/0.80 (step @p208 :rule cong :premises (@p207) :args ((forall @t8 @t191))) % 0.38/0.80 (step @p209 :rule trans :premises (@p208 @p206)) % 0.38/0.80 (step @p210 :rule aci_norm :args ((= (or (or @t15 @t59) @t185) @t191))) % 0.38/0.80 (step @p211 :rule refl :args (@t185)) % 0.38/0.80 (step @p212 :rule bool-and-de-morgan :args (@t12 @t7 true)) % 0.38/0.80 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or (not @t65) @t185))) % 0.38/0.80 (step @p214 :rule trans :premises (@p213 @p210)) % 0.38/0.80 (step @p215 :rule bool-impl-elim :args (@t65 @t185)) % 0.38/0.80 (step @p216 :rule trans :premises (@p215 @p214)) % 0.38/0.80 (step @p217 :rule cong :premises (@p216) :args ((forall @t8 (=> @t65 @t185)))) % 0.38/0.80 (step @p218 :rule trans :premises (@p217 @p209)) % 0.38/0.80 (step @p219 :rule eq-symm :args (@t64 @t56)) % 0.38/0.80 (step @p220 :rule refl :args (@t65)) % 0.38/0.80 (step @p221 :rule cong :premises (@p220 @p219) :args (@t66)) % 0.38/0.80 (step @p222 :rule cong :premises (@p221) :args (@t67)) % 0.38/0.80 (step @p223 :rule trans :premises (@p222 @p218)) % 0.38/0.80 (step @p224 :rule cong :premises (@p140 @p223) :args (@t68)) % 0.38/0.80 (step @p225 :rule cong :premises (@p224) :args (@t69)) % 0.38/0.80 (step @p226 :rule trans :premises (@p225 @p205)) % 0.38/0.80 (step @p227 :rule eq_resolve :premises (@p44 @p226)) % 0.38/0.80 (step @p228 :rule instantiate :premises (@p227) :args ((@list tptp.xQ tptp.xy))) % 0.38/0.80 (step @p229 :rule and_elim :premises (@p67) :args (1)) % 0.38/0.80 (step @p230 :rule cnf_or_pos :args (@t194)) % 0.38/0.80 (step @p231 :rule reordering :premises (@p230) :args ((or @t165 @t164 @t193 @t192 (not @t194)))) % 0.38/0.80 (step @p232 :rule chain_m_resolution :premises (@p231 @p181 @p180 @p229 @p228) :args (@t192 @t168 (@list @t94 @t95 @t96 @t194))) % 0.38/0.80 (step @p233 :rule and_elim :premises (@p65) :args (3)) % 0.38/0.80 (step @p234 :rule symm :premises (@p233)) % 0.38/0.80 (step @p235 :rule trans :premises (@p234 @p232 @p189 @p76)) % 0.38/0.80 (step @p236 :rule eq-symm :args (@t106 tptp.xk)) % 0.38/0.80 (step @p237 :rule refl :args (@t107)) % 0.38/0.80 (step @p238 :rule bool-impl-elim :args (@t101 @t91)) % 0.38/0.80 (step @p239 :rule cong :premises (@p238) :args (@t108)) % 0.38/0.80 (step @p240 :rule nary_cong :premises (@p239 @p237) :args (@t109)) % 0.38/0.80 (step @p241 :rule nary_cong :premises (@p240 @p236) :args (@t110)) % 0.38/0.80 (step @p242 :rule cong :premises (@p241) :args (@t111)) % 0.38/0.80 (step @p243 :rule eq_resolve :premises (@p71 @p242)) % 0.38/0.80 (step @p244 :rule not_and :premises (@p243)) % 0.38/0.80 (step @p245 :rule chain_m_resolution :premises (@p244 @p235) :args ((not @t196) @t197 (@list (= tptp.xk @t106)))) % 0.38/0.80 (step @p246 :rule cnf_or_neg :args (@t196 0)) % 0.38/0.80 (step @p247 :rule chain_m_resolution :premises (@p246 @p245) :args ((not @t195) @t198 (@list @t196))) % 0.38/0.80 (step @p248 :rule skolemize :premises (@p247)) % 0.38/0.80 (step @p249 :rule cnf_or_neg :args (@t203 1)) % 0.38/0.80 (step @p250 :rule chain_m_resolution :premises (@p249 @p248) :args ((not @t200) @t198 @t204)) % 0.38/0.80 (step @p251 :rule false_intro :premises (@p250)) % 0.38/0.80 (step @p252 :rule refl :args (tptp.xS)) % 0.38/0.80 (step @p253 :rule and_elim :premises (@p69) :args (3)) % 0.38/0.80 (step @p254 :rule eq-symm :args (@t199 tptp.xx)) % 0.38/0.80 (step @p255 :rule refl :args (@t205)) % 0.38/0.80 (step @p256 :rule nary_cong :premises (@p255 @p254) :args (@t206)) % 0.38/0.80 (step @p257 :rule refl :args (@t207)) % 0.38/0.80 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t208)) % 0.38/0.80 (step @p259 :rule refl :args (@t201)) % 0.38/0.80 (step @p260 :rule cong :premises (@p259 @p258) :args (@t209)) % 0.38/0.80 (step @p261 :rule refl :args (@t102)) % 0.38/0.80 (step @p262 :rule cong :premises (@p261 @p260) :args ((=> @t102 @t209))) % 0.38/0.80 (assume-push @p320 @t102) % 0.38/0.80 (step @p264 :rule instantiate :premises (@p253) :args (@t210)) % 0.38/0.80 (step-pop @p321 :rule scope :premises (@p264)) % 0.38/0.80 (step @p265 :rule process_scope :premises (@p321) :args (@t209)) % 0.38/0.80 (step @p267 :rule eq_resolve :premises (@p265 @p262)) % 0.38/0.80 (step @p268 :rule implies_elim :premises (@p267)) % 0.38/0.80 (step @p269 :rule chain_m_resolution :premises (@p268 @p253) :args (@t214 @t197 (@list @t102))) % 0.38/0.80 (step @p270 :rule bool-double-not-elim :args (@t201)) % 0.38/0.80 (step @p271 :rule refl :args (@t203)) % 0.38/0.80 (step @p272 :rule nary_cong :premises (@p271 @p270) :args ((or @t203 (not @t202)))) % 0.38/0.80 (step @p273 :rule cnf_or_neg :args (@t203 0)) % 0.38/0.80 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 0.38/0.80 (step @p275 :rule reordering :premises (@p274) :args ((or @t201 @t203))) % 0.38/0.80 (step @p276 :rule chain_m_resolution :premises (@p275 @p248) :args (@t201 @t198 @t204)) % 0.38/0.80 (step @p277 :rule cnf_equiv_pos1 :args (@t214)) % 0.38/0.80 (step @p278 :rule reordering :premises (@p277) :args ((or @t202 @t213 (not @t214)))) % 0.38/0.80 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p269) :args (@t213 (@list false false) (@list @t201 @t214))) % 0.38/0.80 (step @p280 :rule cnf_and_pos :args (@t213 1)) % 0.38/0.80 (step @p281 :rule reordering :premises (@p280) :args ((or @t212 (not @t213)))) % 0.38/0.80 (step @p282 :rule chain_m_resolution :premises (@p281 @p279) :args (@t212 @t197 (@list @t213))) % 0.38/0.80 (step @p283 :rule and_elim :premises (@p69) :args (1)) % 0.38/0.80 (step @p284 :rule eq-symm :args (@t199 tptp.xy)) % 0.38/0.80 (step @p285 :rule cong :premises (@p284) :args (@t215)) % 0.38/0.80 (step @p286 :rule refl :args (@t216)) % 0.38/0.80 (step @p287 :rule nary_cong :premises (@p257 @p286 @p285) :args (@t217)) % 0.38/0.80 (step @p288 :rule cong :premises (@p255 @p287) :args (@t218)) % 0.38/0.80 (step @p289 :rule refl :args (@t103)) % 0.38/0.80 (step @p290 :rule cong :premises (@p289 @p288) :args ((=> @t103 @t218))) % 0.38/0.80 (assume-push @p322 @t103) % 0.38/0.80 (step @p292 :rule instantiate :premises (@p283) :args (@t210)) % 0.38/0.80 (step-pop @p323 :rule scope :premises (@p292)) % 0.38/0.80 (step @p293 :rule process_scope :premises (@p323) :args (@t218)) % 0.38/0.80 (step @p295 :rule eq_resolve :premises (@p293 @p290)) % 0.38/0.80 (step @p296 :rule implies_elim :premises (@p295)) % 0.38/0.80 (step @p297 :rule chain_m_resolution :premises (@p296 @p283) :args (@t220 @t197 (@list @t103))) % 0.38/0.80 (step @p298 :rule bool-impl-elim :args (@t92 @t91)) % 0.38/0.80 (step @p299 :rule cong :premises (@p298) :args (@t93)) % 0.38/0.80 (step @p300 :rule and_elim :premises (@p65) :args (1)) % 0.38/0.80 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 0.38/0.80 (step @p302 :rule instantiate :premises (@p301) :args (@t210)) % 0.38/0.80 (step @p303 :rule cnf_or_pos :args (@t222)) % 0.38/0.80 (step @p304 :rule reordering :premises (@p303) :args ((or @t200 @t221 (not @t222)))) % 0.38/0.80 (step @p305 :rule chain_m_resolution :premises (@p304 @p250 @p302) :args (@t221 @t223 (@list @t200 @t222))) % 0.38/0.80 (step @p306 :rule cnf_and_pos :args (@t219 1)) % 0.38/0.80 (step @p307 :rule reordering :premises (@p306) :args ((or @t216 @t224))) % 0.38/0.80 (step @p308 :rule chain_m_resolution :premises (@p307 @p305) :args (@t224 @t198 (@list @t216))) % 0.38/0.80 (step @p309 :rule cnf_equiv_pos1 :args (@t220)) % 0.38/0.80 (step @p310 :rule reordering :premises (@p309) :args ((or @t225 @t219 (not @t220)))) % 0.38/0.80 (step @p311 :rule chain_m_resolution :premises (@p310 @p308 @p297) :args (@t225 @t223 (@list @t219 @t220))) % 0.38/0.80 (step @p312 :rule cnf_or_pos :args (@t212)) % 0.38/0.80 (step @p313 :rule reordering :premises (@p312) :args ((or @t205 @t211 (not @t212)))) % 0.38/0.80 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p282) :args (@t211 @t223 (@list @t205 @t212))) % 0.38/0.80 (step @p315 :rule cong :premises (@p314 @p252) :args (@t88)) % 0.38/0.80 (step @p316 :rule true_intro :premises (@p64)) % 0.38/0.80 (step @p317 :rule symm :premises (@p316)) % 0.38/0.80 (step @p318 :rule trans :premises (@p317 @p315 @p251)) % 0.38/0.80 (step @p319 false :rule eq_resolve :premises (@p318 @p73)) % 0.38/0.80 ) % 0.38/0.80 % SZS output end Proof % 0.38/0.80 % cvc5 exiting %------------------------------------------------------------------------------