%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX070+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 09:07:05 AM UTC 2026 % Result : Theorem 206.50s 206.74s % Output : Proof 206.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX070+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:55:17 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 206.50/206.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 206.50/206.74 --- Run --no-e-matching --full-saturate-quant at 6... % 206.50/206.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 206.50/206.74 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 206.50/206.74 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 206.50/206.74 --- Run --trigger-sel=max --full-saturate-quant at 15... % 206.50/206.74 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 206.50/206.74 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 206.50/206.74 --- Run --prenex-quant=none --full-saturate-quant at 30... % 206.50/206.74 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 206.50/206.74 --- Run --relevant-triggers --full-saturate-quant at 30... % 206.50/206.74 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 206.50/206.74 % SZS status Theorem % 206.50/206.74 % SZS output start Proof % 206.50/206.74 ( % 206.50/206.74 (declare-sort $$unsorted 0) % 206.50/206.74 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.formula_terminates (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.formula_fails (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.literal_terminates (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.literal_list_terminates (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.literal_list_succeeds (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.literal_list_fails (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.interpretation_terminates (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.interpretation_succeeds (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.incon_terminates (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.valid_terminates (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 206.50/206.74 (declare-const tptp.neg (-> $$unsorted $$unsorted)) % 206.50/206.74 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.defined_fails (-> $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.defined_succeeds (-> $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.true_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.formula_succeeds (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 206.50/206.74 (declare-const tptp.gr (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.defined_terminates (-> $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 206.50/206.74 (declare-const |tptp.'1'| $$unsorted) % 206.50/206.74 (declare-const tptp.literal_fails (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.eval_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const |tptp.'0'| $$unsorted) % 206.50/206.74 (declare-const tptp.true_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.valid_succeeds (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.nil $$unsorted) % 206.50/206.74 (declare-const tptp.satisfiable_terminates (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 206.50/206.74 (declare-const tptp.false_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.literal_succeeds (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.eval_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.eval_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.false_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.interpretation_fails (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.true_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.satisfiable_fails (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.satisfiable_succeeds (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.incon_fails (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.valid_fails (-> $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.false_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.50/206.74 (declare-const tptp.incon_succeeds (-> $$unsorted Bool)) % 206.50/206.74 (define @t1 () (@var "Xx5" $$unsorted)) % 206.50/206.74 (define @t2 () (@var "Xx4" $$unsorted)) % 206.50/206.74 (define @t3 () (@list @t2 @t1)) % 206.50/206.74 (define @t4 () (@var "Xx6" $$unsorted)) % 206.50/206.74 (define @t5 () (@list @t4)) % 206.50/206.74 (define @t6 () (@var "Xx7" $$unsorted)) % 206.50/206.74 (define @t7 () (tptp.neg @t6)) % 206.50/206.74 (define @t8 () (@list @t6)) % 206.50/206.74 (define @t9 () (@var "Xx9" $$unsorted)) % 206.50/206.74 (define @t10 () (@var "Xx8" $$unsorted)) % 206.50/206.74 (define @t11 () (tptp.and @t10 @t9)) % 206.50/206.74 (define @t12 () (@list @t10 @t9)) % 206.50/206.74 (define @t13 () (@var "Xx11" $$unsorted)) % 206.50/206.74 (define @t14 () (@var "Xx10" $$unsorted)) % 206.50/206.74 (define @t15 () (@list @t14 @t13)) % 206.50/206.74 (define @t16 () (@var "Xx15" $$unsorted)) % 206.50/206.74 (define @t17 () (@var "Xx13" $$unsorted)) % 206.50/206.74 (define @t18 () (@var "Xx14" $$unsorted)) % 206.50/206.74 (define @t19 () (@var "Xx12" $$unsorted)) % 206.50/206.74 (define @t20 () (@var "Xx18" $$unsorted)) % 206.50/206.74 (define @t21 () (@var "Xx16" $$unsorted)) % 206.50/206.74 (define @t22 () (@var "Xx19" $$unsorted)) % 206.50/206.74 (define @t23 () (@var "Xx17" $$unsorted)) % 206.50/206.74 (define @t24 () (@var "Xx21" $$unsorted)) % 206.50/206.74 (define @t25 () (@var "Xx20" $$unsorted)) % 206.50/206.74 (define @t26 () (@var "Xx23" $$unsorted)) % 206.50/206.74 (define @t27 () (@var "Xx22" $$unsorted)) % 206.50/206.74 (define @t28 () (@var "Xx26" $$unsorted)) % 206.50/206.74 (define @t29 () (@var "Xx25" $$unsorted)) % 206.50/206.74 (define @t30 () (@var "Xx24" $$unsorted)) % 206.50/206.74 (define @t31 () (@var "Xx29" $$unsorted)) % 206.50/206.74 (define @t32 () (@var "Xx28" $$unsorted)) % 206.50/206.74 (define @t33 () (@var "Xx27" $$unsorted)) % 206.50/206.74 (define @t34 () (@var "Xx33" $$unsorted)) % 206.50/206.74 (define @t35 () (@var "Xx32" $$unsorted)) % 206.50/206.74 (define @t36 () (@var "Xx31" $$unsorted)) % 206.50/206.74 (define @t37 () (@var "Xx30" $$unsorted)) % 206.50/206.74 (define @t38 () (@var "Xx37" $$unsorted)) % 206.50/206.74 (define @t39 () (@var "Xx36" $$unsorted)) % 206.50/206.74 (define @t40 () (@var "Xx35" $$unsorted)) % 206.50/206.74 (define @t41 () (@var "Xx34" $$unsorted)) % 206.50/206.74 (define @t42 () (@var "Xx38" $$unsorted)) % 206.50/206.74 (define @t43 () (@var "Xx39" $$unsorted)) % 206.50/206.74 (define @t44 () (@var "Xx41" $$unsorted)) % 206.50/206.74 (define @t45 () (@var "Xx40" $$unsorted)) % 206.50/206.74 (define @t46 () (@var "Xx43" $$unsorted)) % 206.50/206.74 (define @t47 () (@var "Xx42" $$unsorted)) % 206.50/206.74 (define @t48 () (@var "Xx44" $$unsorted)) % 206.50/206.74 (define @t49 () (@var "Xx45" $$unsorted)) % 206.50/206.74 (define @t50 () (@var "Xx47" $$unsorted)) % 206.50/206.74 (define @t51 () (@var "Xx46" $$unsorted)) % 206.50/206.74 (define @t52 () (@var "Xx49" $$unsorted)) % 206.50/206.74 (define @t53 () (@var "Xx48" $$unsorted)) % 206.50/206.74 (define @t54 () (@var "Xx51" $$unsorted)) % 206.50/206.74 (define @t55 () (@var "Xx50" $$unsorted)) % 206.50/206.74 (define @t56 () (@var "Xx53" $$unsorted)) % 206.50/206.74 (define @t57 () (@var "Xx52" $$unsorted)) % 206.50/206.74 (define @t58 () (forall (@list @t57 @t56) (not (= (tptp.p @t57) (tptp.neg @t56))))) % 206.50/206.74 (define @t59 () (@var "Xx56" $$unsorted)) % 206.50/206.74 (define @t60 () (@var "Xx55" $$unsorted)) % 206.50/206.74 (define @t61 () (@var "Xx54" $$unsorted)) % 206.50/206.74 (define @t62 () (@var "Xx59" $$unsorted)) % 206.50/206.74 (define @t63 () (@var "Xx58" $$unsorted)) % 206.50/206.74 (define @t64 () (@var "Xx57" $$unsorted)) % 206.50/206.74 (define @t65 () (@var "Xx61" $$unsorted)) % 206.50/206.74 (define @t66 () (@var "Xx60" $$unsorted)) % 206.50/206.74 (define @t67 () (= @t66 @t65)) % 206.50/206.74 (define @t68 () (= (tptp.neg @t66) (tptp.neg @t65))) % 206.50/206.74 (define @t69 () (forall (@list @t66 @t65) (=> @t68 @t67))) % 206.50/206.74 (define @t70 () (@var "Xx64" $$unsorted)) % 206.50/206.74 (define @t71 () (@var "Xx63" $$unsorted)) % 206.50/206.74 (define @t72 () (@var "Xx62" $$unsorted)) % 206.50/206.74 (define @t73 () (@var "Xx67" $$unsorted)) % 206.50/206.74 (define @t74 () (@var "Xx66" $$unsorted)) % 206.50/206.74 (define @t75 () (@var "Xx65" $$unsorted)) % 206.50/206.74 (define @t76 () (@var "Xx71" $$unsorted)) % 206.50/206.74 (define @t77 () (@var "Xx69" $$unsorted)) % 206.50/206.74 (define @t78 () (@var "Xx70" $$unsorted)) % 206.50/206.74 (define @t79 () (@var "Xx68" $$unsorted)) % 206.50/206.74 (define @t80 () (@var "Xx74" $$unsorted)) % 206.50/206.74 (define @t81 () (@var "Xx72" $$unsorted)) % 206.50/206.74 (define @t82 () (@var "Xx75" $$unsorted)) % 206.50/206.74 (define @t83 () (@var "Xx73" $$unsorted)) % 206.50/206.74 (define @t84 () (@var "Xx79" $$unsorted)) % 206.50/206.74 (define @t85 () (@var "Xx78" $$unsorted)) % 206.50/206.74 (define @t86 () (@var "Xx77" $$unsorted)) % 206.50/206.74 (define @t87 () (@var "Xx76" $$unsorted)) % 206.50/206.74 (define @t88 () (@var "Xx83" $$unsorted)) % 206.50/206.74 (define @t89 () (@var "Xx81" $$unsorted)) % 206.50/206.74 (define @t90 () (@var "Xx82" $$unsorted)) % 206.50/206.74 (define @t91 () (@var "Xx80" $$unsorted)) % 206.50/206.74 (define @t92 () (@var "Xx86" $$unsorted)) % 206.50/206.74 (define @t93 () (@var "Xx84" $$unsorted)) % 206.50/206.74 (define @t94 () (@var "Xx87" $$unsorted)) % 206.50/206.74 (define @t95 () (@var "Xx85" $$unsorted)) % 206.50/206.74 (define @t96 () (@var "Xx89" $$unsorted)) % 206.50/206.74 (define @t97 () (@var "Xx88" $$unsorted)) % 206.50/206.74 (define @t98 () (@var "Xx90" $$unsorted)) % 206.50/206.74 (define @t99 () (@var "Xx91" $$unsorted)) % 206.50/206.74 (define @t100 () (@var "Xx93" $$unsorted)) % 206.50/206.74 (define @t101 () (@var "Xx92" $$unsorted)) % 206.50/206.74 (define @t102 () (@var "Xx95" $$unsorted)) % 206.50/206.74 (define @t103 () (@var "Xx94" $$unsorted)) % 206.50/206.74 (define @t104 () (@var "Xx97" $$unsorted)) % 206.50/206.74 (define @t105 () (@var "Xx96" $$unsorted)) % 206.50/206.74 (define @t106 () (tptp.defined_fails @t105 @t104)) % 206.50/206.74 (define @t107 () (tptp.defined_succeeds @t105 @t104)) % 206.50/206.74 (define @t108 () (@list @t105 @t104)) % 206.50/206.74 (define @t109 () (@var "Xx100" $$unsorted)) % 206.50/206.74 (define @t110 () (@var "Xx99" $$unsorted)) % 206.50/206.74 (define @t111 () (@var "Xx98" $$unsorted)) % 206.50/206.74 (define @t112 () (tptp.eval_fails @t111 @t110 @t109)) % 206.50/206.74 (define @t113 () (tptp.eval_succeeds @t111 @t110 @t109)) % 206.50/206.74 (define @t114 () (@list @t111 @t110 @t109)) % 206.50/206.74 (define @t115 () (@var "Xx103" $$unsorted)) % 206.50/206.74 (define @t116 () (@var "Xx102" $$unsorted)) % 206.50/206.74 (define @t117 () (@var "Xx101" $$unsorted)) % 206.50/206.74 (define @t118 () (tptp.false_fails @t117 @t116 @t115)) % 206.50/206.74 (define @t119 () (tptp.false_succeeds @t117 @t116 @t115)) % 206.50/206.74 (define @t120 () (@list @t117 @t116 @t115)) % 206.50/206.74 (define @t121 () (@var "Xx106" $$unsorted)) % 206.50/206.74 (define @t122 () (@var "Xx105" $$unsorted)) % 206.50/206.74 (define @t123 () (@var "Xx104" $$unsorted)) % 206.50/206.74 (define @t124 () (tptp.true_fails @t123 @t122 @t121)) % 206.50/206.74 (define @t125 () (tptp.true_succeeds @t123 @t122 @t121)) % 206.50/206.74 (define @t126 () (@list @t123 @t122 @t121)) % 206.50/206.74 (define @t127 () (@var "Xx107" $$unsorted)) % 206.50/206.74 (define @t128 () (tptp.satisfiable_fails @t127)) % 206.50/206.74 (define @t129 () (tptp.satisfiable_succeeds @t127)) % 206.50/206.74 (define @t130 () (@list @t127)) % 206.50/206.74 (define @t131 () (@var "Xx108" $$unsorted)) % 206.50/206.74 (define @t132 () (tptp.valid_fails @t131)) % 206.50/206.74 (define @t133 () (tptp.valid_succeeds @t131)) % 206.50/206.74 (define @t134 () (@list @t131)) % 206.50/206.74 (define @t135 () (@var "Xx109" $$unsorted)) % 206.50/206.74 (define @t136 () (tptp.incon_fails @t135)) % 206.50/206.74 (define @t137 () (tptp.incon_succeeds @t135)) % 206.50/206.74 (define @t138 () (@list @t135)) % 206.50/206.74 (define @t139 () (@var "Xx110" $$unsorted)) % 206.50/206.74 (define @t140 () (tptp.interpretation_fails @t139)) % 206.50/206.74 (define @t141 () (tptp.interpretation_succeeds @t139)) % 206.50/206.74 (define @t142 () (@list @t139)) % 206.50/206.74 (define @t143 () (@var "Xx111" $$unsorted)) % 206.50/206.74 (define @t144 () (tptp.literal_list_fails @t143)) % 206.50/206.74 (define @t145 () (tptp.literal_list_succeeds @t143)) % 206.50/206.74 (define @t146 () (@list @t143)) % 206.50/206.74 (define @t147 () (@var "Xx112" $$unsorted)) % 206.50/206.74 (define @t148 () (tptp.literal_fails @t147)) % 206.50/206.74 (define @t149 () (tptp.literal_succeeds @t147)) % 206.50/206.74 (define @t150 () (@list @t147)) % 206.50/206.74 (define @t151 () (@var "Xx113" $$unsorted)) % 206.50/206.74 (define @t152 () (tptp.formula_fails @t151)) % 206.50/206.74 (define @t153 () (tptp.formula_succeeds @t151)) % 206.50/206.74 (define @t154 () (@list @t151)) % 206.50/206.74 (define @t155 () (@var "Xx115" $$unsorted)) % 206.50/206.74 (define @t156 () (@var "Xx114" $$unsorted)) % 206.50/206.74 (define @t157 () (tptp.member_fails @t156 @t155)) % 206.50/206.74 (define @t158 () (tptp.member_succeeds @t156 @t155)) % 206.50/206.74 (define @t159 () (@list @t156 @t155)) % 206.50/206.74 (define @t160 () (@var "Xx116" $$unsorted)) % 206.50/206.74 (define @t161 () (tptp.list_fails @t160)) % 206.50/206.74 (define @t162 () (tptp.list_succeeds @t160)) % 206.50/206.74 (define @t163 () (@list @t160)) % 206.50/206.74 (define @t164 () (@var "Xx2" $$unsorted)) % 206.50/206.74 (define @t165 () (tptp.p @t9)) % 206.50/206.74 (define @t166 () (@var "Xx1" $$unsorted)) % 206.50/206.74 (define @t167 () (= @t166 @t165)) % 206.50/206.74 (define @t168 () (@list @t9)) % 206.50/206.74 (define @t169 () (tptp.p @t10)) % 206.50/206.74 (define @t170 () (tptp.neg @t169)) % 206.50/206.74 (define @t171 () (= @t166 @t169)) % 206.50/206.74 (define @t172 () (@list @t10)) % 206.50/206.74 (define @t173 () (= @t166 @t7)) % 206.50/206.74 (define @t174 () (= @t166 (tptp.and @t1 @t4))) % 206.50/206.74 (define @t175 () (@list @t1 @t4)) % 206.50/206.74 (define @t176 () (@var "Xx3" $$unsorted)) % 206.50/206.74 (define @t177 () (= @t166 (tptp.or @t176 @t2))) % 206.50/206.74 (define @t178 () (@list @t176 @t2)) % 206.50/206.74 (define @t179 () (@list @t166 @t164)) % 206.50/206.74 (define @t180 () (not @t167)) % 206.50/206.74 (define @t181 () (not @t171)) % 206.50/206.74 (define @t182 () (not @t173)) % 206.50/206.74 (define @t183 () (tptp.defined_fails @t1 @t164)) % 206.50/206.74 (define @t184 () (not @t174)) % 206.50/206.74 (define @t185 () (tptp.defined_fails @t176 @t164)) % 206.50/206.74 (define @t186 () (not @t177)) % 206.50/206.74 (define @t187 () (tptp.p @t22)) % 206.50/206.74 (define @t188 () (= @t176 |tptp.'1'|)) % 206.50/206.74 (define @t189 () (= @t166 @t187)) % 206.50/206.74 (define @t190 () (@list @t22)) % 206.50/206.74 (define @t191 () (tptp.p @t20)) % 206.50/206.74 (define @t192 () (tptp.neg @t191)) % 206.50/206.74 (define @t193 () (= @t176 |tptp.'0'|)) % 206.50/206.74 (define @t194 () (= @t166 @t191)) % 206.50/206.74 (define @t195 () (@list @t20)) % 206.50/206.74 (define @t196 () (= @t166 (tptp.neg @t23))) % 206.50/206.74 (define @t197 () (@list @t23)) % 206.50/206.74 (define @t198 () (= @t166 (tptp.neg @t21))) % 206.50/206.74 (define @t199 () (@list @t21)) % 206.50/206.74 (define @t200 () (= @t166 (tptp.and @t18 @t16))) % 206.50/206.74 (define @t201 () (@list @t18 @t16)) % 206.50/206.74 (define @t202 () (= @t166 (tptp.and @t19 @t17))) % 206.50/206.74 (define @t203 () (@list @t19 @t17)) % 206.50/206.74 (define @t204 () (= @t166 (tptp.and @t14 @t13))) % 206.50/206.74 (define @t205 () (= @t166 (tptp.or @t10 @t9))) % 206.50/206.74 (define @t206 () (tptp.or @t4 @t6)) % 206.50/206.74 (define @t207 () (= @t166 @t206)) % 206.50/206.74 (define @t208 () (@list @t4 @t6)) % 206.50/206.74 (define @t209 () (tptp.or @t2 @t1)) % 206.50/206.74 (define @t210 () (= @t166 @t209)) % 206.50/206.74 (define @t211 () (@list @t166 @t164 @t176)) % 206.50/206.74 (define @t212 () (not @t188)) % 206.50/206.74 (define @t213 () (not @t189)) % 206.50/206.74 (define @t214 () (not @t193)) % 206.50/206.74 (define @t215 () (not @t194)) % 206.50/206.74 (define @t216 () (not @t196)) % 206.50/206.74 (define @t217 () (not @t198)) % 206.50/206.74 (define @t218 () (tptp.eval_fails @t18 @t164 |tptp.'1'|)) % 206.50/206.74 (define @t219 () (not @t200)) % 206.50/206.74 (define @t220 () (not @t202)) % 206.50/206.74 (define @t221 () (not @t204)) % 206.50/206.74 (define @t222 () (not @t205)) % 206.50/206.74 (define @t223 () (not @t207)) % 206.50/206.74 (define @t224 () (tptp.eval_fails @t2 @t164 |tptp.'0'|)) % 206.50/206.74 (define @t225 () (not @t210)) % 206.50/206.74 (define @t226 () (tptp.p @t19)) % 206.50/206.74 (define @t227 () (tptp.neg @t226)) % 206.50/206.74 (define @t228 () (= @t176 (tptp.cons @t227 @t164))) % 206.50/206.74 (define @t229 () (= @t166 @t226)) % 206.50/206.74 (define @t230 () (@list @t19)) % 206.50/206.74 (define @t231 () (tptp.neg @t13)) % 206.50/206.74 (define @t232 () (= @t166 @t231)) % 206.50/206.74 (define @t233 () (@list @t13)) % 206.50/206.74 (define @t234 () (= @t166 (tptp.and @t9 @t14))) % 206.50/206.74 (define @t235 () (@list @t9 @t14)) % 206.50/206.74 (define @t236 () (= @t166 (tptp.and @t6 @t10))) % 206.50/206.74 (define @t237 () (@list @t6 @t10)) % 206.50/206.74 (define @t238 () (@list @t2 @t1 @t4)) % 206.50/206.74 (define @t239 () (not @t228)) % 206.50/206.74 (define @t240 () (not @t229)) % 206.50/206.74 (define @t241 () (not @t232)) % 206.50/206.74 (define @t242 () (not @t234)) % 206.50/206.74 (define @t243 () (not @t236)) % 206.50/206.74 (define @t244 () (tptp.false_fails @t2 @t164 @t4)) % 206.50/206.74 (define @t245 () (tptp.gr @t164)) % 206.50/206.74 (define @t246 () (tptp.member_fails @t227 @t164)) % 206.50/206.74 (define @t247 () (= @t176 (tptp.cons @t226 @t164))) % 206.50/206.74 (define @t248 () (and @t229 @t247 @t246)) % 206.50/206.74 (define @t249 () (exists @t230 @t248)) % 206.50/206.74 (define @t250 () (tptp.false_succeeds @t13 @t164 @t176)) % 206.50/206.74 (define @t251 () (and @t232 @t250)) % 206.50/206.74 (define @t252 () (exists @t233 @t251)) % 206.50/206.74 (define @t253 () (tptp.true_succeeds @t9 @t14 @t176)) % 206.50/206.74 (define @t254 () (tptp.true_succeeds @t10 @t164 @t14)) % 206.50/206.74 (define @t255 () (= @t166 @t11)) % 206.50/206.74 (define @t256 () (and @t255 @t254 @t253)) % 206.50/206.74 (define @t257 () (@list @t10 @t9 @t14)) % 206.50/206.74 (define @t258 () (exists @t257 @t256)) % 206.50/206.74 (define @t259 () (tptp.true_succeeds @t4 @t164 @t176)) % 206.50/206.74 (define @t260 () (and @t207 @t259)) % 206.50/206.74 (define @t261 () (exists @t208 @t260)) % 206.50/206.74 (define @t262 () (tptp.true_succeeds @t1 @t164 @t176)) % 206.50/206.74 (define @t263 () (and @t210 @t262)) % 206.50/206.74 (define @t264 () (exists @t3 @t263)) % 206.50/206.74 (define @t265 () (or @t264 @t261 @t258 @t252 @t249)) % 206.50/206.74 (define @t266 () (tptp.true_succeeds @t166 @t164 @t176)) % 206.50/206.74 (define @t267 () (= @t266 @t265)) % 206.50/206.74 (define @t268 () (forall @t211 @t267)) % 206.50/206.74 (define @t269 () (not @t247)) % 206.50/206.74 (define @t270 () (tptp.true_fails @t10 @t164 @t14)) % 206.50/206.74 (define @t271 () (not @t255)) % 206.50/206.74 (define @t272 () (tptp.true_succeeds @t166 tptp.nil @t164)) % 206.50/206.74 (define @t273 () (@list @t164)) % 206.50/206.74 (define @t274 () (exists @t273 @t272)) % 206.50/206.74 (define @t275 () (tptp.satisfiable_succeeds @t166)) % 206.50/206.74 (define @t276 () (= @t275 @t274)) % 206.50/206.74 (define @t277 () (@list @t166)) % 206.50/206.74 (define @t278 () (forall @t277 @t276)) % 206.50/206.74 (define @t279 () (tptp.neg @t166)) % 206.50/206.74 (define @t280 () (tptp.p @t164)) % 206.50/206.74 (define @t281 () (tptp.neg @t280)) % 206.50/206.74 (define @t282 () (tptp.incon_succeeds @t166)) % 206.50/206.74 (define @t283 () (tptp.member_fails @t280 @t166)) % 206.50/206.74 (define @t284 () (tptp.incon_fails @t166)) % 206.50/206.74 (define @t285 () (tptp.incon_terminates @t166)) % 206.50/206.74 (define @t286 () (tptp.literal_list_succeeds @t166)) % 206.50/206.74 (define @t287 () (tptp.literal_list_fails @t166)) % 206.50/206.74 (define @t288 () (tptp.literal_list_terminates @t166)) % 206.50/206.74 (define @t289 () (= @t166 tptp.nil)) % 206.50/206.74 (define @t290 () (= @t166 (tptp.cons @t164 @t176))) % 206.50/206.74 (define @t291 () (@list @t164 @t176)) % 206.50/206.74 (define @t292 () (not @t289)) % 206.50/206.74 (define @t293 () (tptp.literal_fails @t164)) % 206.50/206.74 (define @t294 () (not @t290)) % 206.50/206.74 (define @t295 () (= @t166 (tptp.p @t176))) % 206.50/206.74 (define @t296 () (@list @t176)) % 206.50/206.74 (define @t297 () (= @t166 @t281)) % 206.50/206.74 (define @t298 () (= @t166 (tptp.p @t6))) % 206.50/206.74 (define @t299 () (= @t166 (tptp.neg @t4))) % 206.50/206.74 (define @t300 () (= @t166 (tptp.and @t2 @t1))) % 206.50/206.74 (define @t301 () (= @t166 (tptp.or @t164 @t176))) % 206.50/206.74 (define @t302 () (not @t299)) % 206.50/206.74 (define @t303 () (tptp.formula_fails @t2)) % 206.50/206.74 (define @t304 () (not @t300)) % 206.50/206.74 (define @t305 () (tptp.formula_fails @t164)) % 206.50/206.74 (define @t306 () (not @t301)) % 206.50/206.74 (define @t307 () (= @t164 (tptp.cons @t166 @t1))) % 206.50/206.74 (define @t308 () (@list @t1)) % 206.50/206.74 (define @t309 () (= @t164 (tptp.cons @t176 @t2))) % 206.50/206.74 (define @t310 () (not @t309)) % 206.50/206.74 (define @t311 () (@var "Xl2" $$unsorted)) % 206.50/206.74 (define @t312 () (@var "Xx" $$unsorted)) % 206.50/206.74 (define @t313 () (@var "Xl1" $$unsorted)) % 206.50/206.74 (define @t314 () (@list @t312)) % 206.50/206.74 (define @t315 () (@var "Xl" $$unsorted)) % 206.50/206.74 (define @t316 () (@var "Xy" $$unsorted)) % 206.50/206.74 (define @t317 () (= @t312 @t316)) % 206.50/206.74 (define @t318 () (@var "Xi" $$unsorted)) % 206.50/206.74 (define @t319 () (tptp.cons @t312 @t318)) % 206.50/206.74 (define @t320 () (@list @t312 @t318)) % 206.50/206.74 (define @t321 () (@var "Xk" $$unsorted)) % 206.50/206.74 (define @t322 () (@var "Xj" $$unsorted)) % 206.50/206.74 (define @t323 () (tptp.sub @t318 @t322)) % 206.50/206.74 (define @t324 () (tptp.list_succeeds @t318)) % 206.50/206.74 (define @t325 () (@list @t318)) % 206.50/206.74 (define @t326 () (tptp.literal_list_succeeds @t318)) % 206.50/206.74 (define @t327 () (tptp.p @t312)) % 206.50/206.74 (define @t328 () (tptp.neg @t327)) % 206.50/206.74 (define @t329 () (tptp.member_succeeds @t328 @t318)) % 206.50/206.74 (define @t330 () (tptp.member_succeeds @t327 @t318)) % 206.50/206.74 (define @t331 () (and @t326 (not (exists @t314 (and @t330 @t329))))) % 206.50/206.74 (define @t332 () (tptp.interpretation_succeeds @t318)) % 206.50/206.74 (define @t333 () (tptp.interpretation_succeeds (tptp.cons @t327 @t318))) % 206.50/206.74 (define @t334 () (tptp.interpretation_succeeds (tptp.cons @t328 @t318))) % 206.50/206.74 (define @t335 () (tptp.literal_list_succeeds @t322)) % 206.50/206.74 (define @t336 () (tptp.interpretation_succeeds @t322)) % 206.50/206.74 (define @t337 () (and (=> @t332 @t336) (=> @t326 @t335) @t323)) % 206.50/206.74 (define @t338 () (@var "Xa" $$unsorted)) % 206.50/206.74 (define @t339 () (tptp.false_succeeds @t338 @t318 @t322)) % 206.50/206.74 (define @t340 () (@list @t338 @t318 @t322)) % 206.50/206.74 (define @t341 () (tptp.true_succeeds @t338 @t318 @t322)) % 206.50/206.74 (define @t342 () (tptp.gr @t322)) % 206.50/206.74 (define @t343 () (tptp.gr @t318)) % 206.50/206.74 (define @t344 () (tptp.gr @t338)) % 206.50/206.74 (define @t345 () (=> (and @t344 @t343) @t342)) % 206.50/206.74 (define @t346 () (tptp.formula_succeeds @t338)) % 206.50/206.74 (define @t347 () (@list @t338)) % 206.50/206.74 (define @t348 () (and @t346 @t344)) % 206.50/206.74 (define @t349 () (tptp.eval_succeeds @t338 @t322 @t312)) % 206.50/206.74 (define @t350 () (@list @t322)) % 206.50/206.74 (define @t351 () (tptp.eval_succeeds @t338 @t318 @t312)) % 206.50/206.74 (define @t352 () (@list @t338 @t318 @t312)) % 206.50/206.74 (define @t353 () (tptp.defined_succeeds @t338 @t318)) % 206.50/206.74 (define @t354 () (@list @t338 @t318)) % 206.50/206.74 (define @t355 () (tptp.defined_succeeds @t338 @t322)) % 206.50/206.74 (define @t356 () (tptp.false_succeeds @t338 tptp.nil @t318)) % 206.50/206.74 (define @t357 () (exists @t325 @t356)) % 206.50/206.74 (define @t358 () (tptp.valid_fails @t338)) % 206.50/206.74 (define @t359 () (= @t358 @t357)) % 206.50/206.74 (define @t360 () (forall @t347 @t359)) % 206.50/206.74 (define @t361 () (not @t360)) % 206.50/206.74 (define @t362 () (not (forall @t325 (not @t356)))) % 206.50/206.74 (define @t363 () (@quantifiers_skolemize (forall @t347 (= @t358 @t362)) 0)) % 206.50/206.74 (define @t364 () (forall @t325 (not (tptp.false_succeeds @t363 tptp.nil @t318)))) % 206.50/206.74 (define @t365 () (tptp.valid_fails @t363)) % 206.50/206.74 (define @t366 () (not @t365)) % 206.50/206.74 (define @t367 () (not @t364)) % 206.50/206.74 (define @t368 () (= @t365 @t367)) % 206.50/206.74 (define @t369 () (not @t367)) % 206.50/206.74 (define @t370 () (@list @t363)) % 206.50/206.74 (define @t371 () (tptp.neg @t363)) % 206.50/206.74 (define @t372 () (tptp.satisfiable_succeeds @t371)) % 206.50/206.74 (define @t373 () (= @t365 @t372)) % 206.50/206.74 (define @t374 () (not @t373)) % 206.50/206.74 (define @t375 () (forall @t273 (not (tptp.true_succeeds @t371 tptp.nil @t164)))) % 206.50/206.74 (define @t376 () (@quantifiers_skolemize @t375 0)) % 206.50/206.74 (define @t377 () (tptp.false_succeeds @t363 tptp.nil @t376)) % 206.50/206.74 (define @t378 () (not @t377)) % 206.50/206.74 (define @t379 () (not @t375)) % 206.50/206.74 (define @t380 () (= @t372 @t379)) % 206.50/206.74 (define @t381 () (not @t380)) % 206.50/206.74 (define @t382 () (not @t372)) % 206.50/206.74 (define @t383 () (not (tptp.false_succeeds @t13 tptp.nil @t376))) % 206.50/206.74 (define @t384 () (not (= @t231 @t371))) % 206.50/206.74 (define @t385 () (forall @t233 (or @t384 @t383))) % 206.50/206.74 (define @t386 () (@quantifiers_skolemize @t385 0)) % 206.50/206.74 (define @t387 () (tptp.neg @t386)) % 206.50/206.74 (define @t388 () (= @t371 @t387)) % 206.50/206.74 (define @t389 () (tptp.false_succeeds @t386 tptp.nil @t376)) % 206.50/206.74 (define @t390 () (not @t389)) % 206.50/206.74 (define @t391 () (not @t388)) % 206.50/206.74 (define @t392 () (or @t391 @t390)) % 206.50/206.74 (define @t393 () (= @t363 @t386)) % 206.50/206.74 (define @t394 () (or @t391 @t393)) % 206.50/206.74 (define @t395 () (not @t393)) % 206.50/206.74 (define @t396 () (and @t378 @t393 @t389)) % 206.50/206.74 (define @t397 () (tptp.true_succeeds @t371 tptp.nil @t376)) % 206.50/206.74 (define @t398 () (not @t379)) % 206.50/206.74 (define @t399 () (not @t397)) % 206.50/206.74 (define @t400 () (not @t399)) % 206.50/206.74 (define @t401 () (not @t392)) % 206.50/206.74 (define @t402 () (not @t385)) % 206.50/206.74 (define @t403 () (not (= @t387 @t371))) % 206.50/206.74 (define @t404 () (or @t403 @t390)) % 206.50/206.74 (define @t405 () (not @t404)) % 206.50/206.74 (define @t406 () (not @t246)) % 206.50/206.74 (define @t407 () (or @t240 @t269 @t406)) % 206.50/206.74 (define @t408 () (forall @t230 (not @t248))) % 206.50/206.74 (define @t409 () (not @t408)) % 206.50/206.74 (define @t410 () (forall @t233 (not @t251))) % 206.50/206.74 (define @t411 () (not @t410)) % 206.50/206.74 (define @t412 () (not @t253)) % 206.50/206.74 (define @t413 () (not @t254)) % 206.50/206.74 (define @t414 () (= @t11 @t166)) % 206.50/206.74 (define @t415 () (not @t414)) % 206.50/206.74 (define @t416 () (or @t415 @t413 @t412)) % 206.50/206.74 (define @t417 () (and @t414 @t254 @t253)) % 206.50/206.74 (define @t418 () (forall @t257 (not @t417))) % 206.50/206.74 (define @t419 () (not @t418)) % 206.50/206.74 (define @t420 () (forall @t208 (not @t260))) % 206.50/206.74 (define @t421 () (not @t420)) % 206.50/206.74 (define @t422 () (forall @t3 (not @t263))) % 206.50/206.74 (define @t423 () (not @t422)) % 206.50/206.74 (define @t424 () (not (tptp.member_fails @t227 tptp.nil))) % 206.50/206.74 (define @t425 () (tptp.cons @t226 tptp.nil)) % 206.50/206.74 (define @t426 () (not (= @t376 @t425))) % 206.50/206.74 (define @t427 () (not (= @t371 @t226))) % 206.50/206.74 (define @t428 () (or @t427 @t426 @t424)) % 206.50/206.74 (define @t429 () (forall @t230 @t428)) % 206.50/206.74 (define @t430 () (not @t429)) % 206.50/206.74 (define @t431 () (not (= @t371 @t231))) % 206.50/206.74 (define @t432 () (or @t431 @t383)) % 206.50/206.74 (define @t433 () (forall @t233 @t432)) % 206.50/206.74 (define @t434 () (not @t433)) % 206.50/206.74 (define @t435 () (not (tptp.true_succeeds @t10 tptp.nil @t14))) % 206.50/206.74 (define @t436 () (not (= @t11 @t371))) % 206.50/206.74 (define @t437 () (forall @t257 (or @t436 @t435 (not (tptp.true_succeeds @t9 @t14 @t376))))) % 206.50/206.74 (define @t438 () (not @t437)) % 206.50/206.74 (define @t439 () (not (tptp.true_succeeds @t4 tptp.nil @t376))) % 206.50/206.74 (define @t440 () (not (= @t371 @t206))) % 206.50/206.74 (define @t441 () (or @t440 @t439)) % 206.50/206.74 (define @t442 () (forall @t208 @t441)) % 206.50/206.74 (define @t443 () (not @t442)) % 206.50/206.74 (define @t444 () (not (tptp.true_succeeds @t1 tptp.nil @t376))) % 206.50/206.74 (define @t445 () (not (= @t371 @t209))) % 206.50/206.74 (define @t446 () (or @t445 @t444)) % 206.50/206.74 (define @t447 () (forall @t3 @t446)) % 206.50/206.74 (define @t448 () (not @t447)) % 206.50/206.74 (define @t449 () (or @t448 @t443 @t438 @t434 @t430)) % 206.50/206.74 (define @t450 () (= @t397 @t449)) % 206.50/206.74 (define @t451 () (forall @t211 (= @t266 (or (not (forall @t3 (or @t225 (not @t262)))) (not (forall @t208 (or @t223 (not @t259)))) (not (forall @t257 @t416)) (not (forall @t233 (or @t241 (not @t250)))) (not (forall @t230 @t407)))))) % 206.50/206.74 (define @t452 () (not (= @t226 @t371))) % 206.50/206.74 (define @t453 () (forall @t230 (or @t452 @t426 @t424))) % 206.50/206.74 (define @t454 () (not @t453)) % 206.50/206.74 (define @t455 () (not (= @t206 @t371))) % 206.50/206.74 (define @t456 () (forall @t208 (or @t455 @t439))) % 206.50/206.74 (define @t457 () (not @t456)) % 206.50/206.74 (define @t458 () (not (= @t209 @t371))) % 206.50/206.74 (define @t459 () (forall @t3 (or @t458 @t444))) % 206.50/206.74 (define @t460 () (not @t459)) % 206.50/206.74 (define @t461 () (or @t460 @t457 @t438 @t402 @t454)) % 206.50/206.74 (define @t462 () (= @t397 @t461)) % 206.50/206.74 (define @t463 () (@list false)) % 206.50/206.74 (define @t464 () (@list @t451)) % 206.50/206.74 (define @t465 () (@quantifiers_skolemize @t453 0)) % 206.50/206.74 (define @t466 () (tptp.p @t465)) % 206.50/206.74 (define @t467 () (not (= @t466 @t371))) % 206.50/206.74 (define @t468 () (= @t371 @t466)) % 206.50/206.74 (define @t469 () (not @t468)) % 206.50/206.74 (define @t470 () (not (tptp.member_fails (tptp.neg @t466) tptp.nil))) % 206.50/206.74 (define @t471 () (not (= @t376 (tptp.cons @t466 tptp.nil)))) % 206.50/206.74 (define @t472 () (or @t469 @t471 @t470)) % 206.50/206.74 (define @t473 () (@list true)) % 206.50/206.74 (define @t474 () (not @t472)) % 206.50/206.74 (define @t475 () (or @t467 @t471 @t470)) % 206.50/206.74 (define @t476 () (not @t475)) % 206.50/206.74 (define @t477 () (@quantifiers_skolemize @t437 1)) % 206.50/206.74 (define @t478 () (@quantifiers_skolemize @t437 0)) % 206.50/206.74 (define @t479 () (tptp.and @t478 @t477)) % 206.50/206.74 (define @t480 () (= @t371 @t479)) % 206.50/206.74 (define @t481 () (@quantifiers_skolemize @t437 2)) % 206.50/206.74 (define @t482 () (not (tptp.true_succeeds @t477 @t481 @t376))) % 206.50/206.74 (define @t483 () (not (tptp.true_succeeds @t478 tptp.nil @t481))) % 206.50/206.74 (define @t484 () (not @t480)) % 206.50/206.74 (define @t485 () (or @t484 @t483 @t482)) % 206.50/206.74 (define @t486 () (not @t485)) % 206.50/206.74 (define @t487 () (not (= @t479 @t371))) % 206.50/206.74 (define @t488 () (or @t487 @t483 @t482)) % 206.50/206.74 (define @t489 () (not @t488)) % 206.50/206.74 (define @t490 () (@quantifiers_skolemize @t456 1)) % 206.50/206.74 (define @t491 () (@quantifiers_skolemize @t456 0)) % 206.50/206.74 (define @t492 () (tptp.or @t491 @t490)) % 206.50/206.74 (define @t493 () (= @t371 @t492)) % 206.50/206.74 (define @t494 () (not (tptp.true_succeeds @t491 tptp.nil @t376))) % 206.50/206.74 (define @t495 () (not @t493)) % 206.50/206.74 (define @t496 () (or @t495 @t494)) % 206.50/206.74 (define @t497 () (not @t496)) % 206.50/206.74 (define @t498 () (not (= @t492 @t371))) % 206.50/206.74 (define @t499 () (or @t498 @t494)) % 206.50/206.74 (define @t500 () (not @t499)) % 206.50/206.74 (define @t501 () (@quantifiers_skolemize @t459 1)) % 206.50/206.74 (define @t502 () (@quantifiers_skolemize @t459 0)) % 206.50/206.74 (define @t503 () (tptp.or @t502 @t501)) % 206.50/206.74 (define @t504 () (= @t371 @t503)) % 206.50/206.74 (define @t505 () (not (tptp.true_succeeds @t501 tptp.nil @t376))) % 206.50/206.74 (define @t506 () (not @t504)) % 206.50/206.74 (define @t507 () (or @t506 @t505)) % 206.50/206.74 (define @t508 () (not @t507)) % 206.50/206.74 (define @t509 () (not (= @t503 @t371))) % 206.50/206.74 (define @t510 () (or @t509 @t505)) % 206.50/206.74 (define @t511 () (not @t510)) % 206.50/206.74 (define @t512 () (@quantifiers_skolemize @t364 0)) % 206.50/206.74 (define @t513 () (tptp.false_succeeds @t363 tptp.nil @t512)) % 206.50/206.74 (define @t514 () (not @t513)) % 206.50/206.74 (define @t515 () (not @t514)) % 206.50/206.74 (define @t516 () (not (= @t512 @t425))) % 206.50/206.74 (define @t517 () (or @t427 @t516 @t424)) % 206.50/206.74 (define @t518 () (forall @t230 @t517)) % 206.50/206.74 (define @t519 () (not @t518)) % 206.50/206.74 (define @t520 () (not (tptp.false_succeeds @t13 tptp.nil @t512))) % 206.50/206.74 (define @t521 () (or @t431 @t520)) % 206.50/206.74 (define @t522 () (forall @t233 @t521)) % 206.50/206.74 (define @t523 () (not @t522)) % 206.50/206.74 (define @t524 () (not (forall @t257 (or @t436 @t435 (not (tptp.true_succeeds @t9 @t14 @t512)))))) % 206.50/206.74 (define @t525 () (not (tptp.true_succeeds @t4 tptp.nil @t512))) % 206.50/206.74 (define @t526 () (or @t440 @t525)) % 206.50/206.74 (define @t527 () (forall @t208 @t526)) % 206.50/206.74 (define @t528 () (not @t527)) % 206.50/206.74 (define @t529 () (not (tptp.true_succeeds @t1 tptp.nil @t512))) % 206.50/206.74 (define @t530 () (or @t445 @t529)) % 206.50/206.74 (define @t531 () (forall @t3 @t530)) % 206.50/206.74 (define @t532 () (not @t531)) % 206.50/206.74 (define @t533 () (or @t532 @t528 @t524 @t523 @t519)) % 206.50/206.74 (define @t534 () (tptp.true_succeeds @t371 tptp.nil @t512)) % 206.50/206.74 (define @t535 () (= @t534 @t533)) % 206.50/206.74 (define @t536 () (forall @t233 (or @t384 @t520))) % 206.50/206.74 (define @t537 () (not @t536)) % 206.50/206.74 (define @t538 () (or (not (forall @t3 (or @t458 @t529))) (not (forall @t208 (or @t455 @t525))) @t524 @t537 (not (forall @t230 (or @t452 (not (= @t425 @t512)) @t424))))) % 206.50/206.74 (define @t539 () (= @t534 @t538)) % 206.50/206.74 (define @t540 () (@list true false)) % 206.50/206.74 (define @t541 () (not @t534)) % 206.50/206.74 (define @t542 () (not @t538)) % 206.50/206.74 (define @t543 () (not (= @t371 @t371))) % 206.50/206.74 (define @t544 () (or @t543 @t514)) % 206.50/206.74 (assume @p1 (forall @t3 (not (= tptp.nil (tptp.cons @t2 @t1))))) % 206.50/206.74 (assume @p2 (not (= tptp.nil |tptp.'1'|))) % 206.50/206.74 (assume @p3 (not (= tptp.nil |tptp.'0'|))) % 206.50/206.74 (assume @p4 (forall @t5 (not (= tptp.nil (tptp.p @t4))))) % 206.50/206.74 (assume @p5 (forall @t8 (not (= tptp.nil @t7)))) % 206.50/206.74 (assume @p6 (forall @t12 (not (= tptp.nil @t11)))) % 206.50/206.74 (assume @p7 (forall @t15 (not (= tptp.nil (tptp.or @t14 @t13))))) % 206.50/206.74 (assume @p8 (forall (@list @t19 @t17 @t18 @t16) (=> (= (tptp.cons @t19 @t17) (tptp.cons @t18 @t16)) (= @t17 @t16)))) % 206.50/206.74 (assume @p9 (forall (@list @t21 @t23 @t20 @t22) (=> (= (tptp.cons @t21 @t23) (tptp.cons @t20 @t22)) (= @t21 @t20)))) % 206.50/206.74 (assume @p10 (forall (@list @t25 @t24) (not (= |tptp.'1'| (tptp.cons @t25 @t24))))) % 206.50/206.74 (assume @p11 (forall (@list @t27 @t26) (not (= |tptp.'0'| (tptp.cons @t27 @t26))))) % 206.50/206.74 (assume @p12 (forall (@list @t30 @t29 @t28) (not (= (tptp.cons @t30 @t29) (tptp.p @t28))))) % 206.50/206.74 (assume @p13 (forall (@list @t33 @t32 @t31) (not (= (tptp.cons @t33 @t32) (tptp.neg @t31))))) % 206.50/206.74 (assume @p14 (forall (@list @t37 @t36 @t35 @t34) (not (= (tptp.cons @t37 @t36) (tptp.and @t35 @t34))))) % 206.50/206.74 (assume @p15 (forall (@list @t41 @t40 @t39 @t38) (not (= (tptp.cons @t41 @t40) (tptp.or @t39 @t38))))) % 206.50/206.74 (assume @p16 (not (= |tptp.'1'| |tptp.'0'|))) % 206.50/206.74 (assume @p17 (forall (@list @t42) (not (= |tptp.'1'| (tptp.p @t42))))) % 206.50/206.74 (assume @p18 (forall (@list @t43) (not (= |tptp.'1'| (tptp.neg @t43))))) % 206.50/206.74 (assume @p19 (forall (@list @t45 @t44) (not (= |tptp.'1'| (tptp.and @t45 @t44))))) % 206.50/206.74 (assume @p20 (forall (@list @t47 @t46) (not (= |tptp.'1'| (tptp.or @t47 @t46))))) % 206.50/206.74 (assume @p21 (forall (@list @t48) (not (= |tptp.'0'| (tptp.p @t48))))) % 206.50/206.74 (assume @p22 (forall (@list @t49) (not (= |tptp.'0'| (tptp.neg @t49))))) % 206.50/206.74 (assume @p23 (forall (@list @t51 @t50) (not (= |tptp.'0'| (tptp.and @t51 @t50))))) % 206.50/206.74 (assume @p24 (forall (@list @t53 @t52) (not (= |tptp.'0'| (tptp.or @t53 @t52))))) % 206.50/206.74 (assume @p25 (forall (@list @t55 @t54) (=> (= (tptp.p @t55) (tptp.p @t54)) (= @t55 @t54)))) % 206.50/206.74 (assume @p26 @t58) % 206.50/206.74 (assume @p27 (forall (@list @t61 @t60 @t59) (not (= (tptp.p @t61) (tptp.and @t60 @t59))))) % 206.50/206.74 (assume @p28 (forall (@list @t64 @t63 @t62) (not (= (tptp.p @t64) (tptp.or @t63 @t62))))) % 206.50/206.74 (assume @p29 @t69) % 206.50/206.74 (assume @p30 (forall (@list @t72 @t71 @t70) (not (= (tptp.neg @t72) (tptp.and @t71 @t70))))) % 206.50/206.74 (assume @p31 (forall (@list @t75 @t74 @t73) (not (= (tptp.neg @t75) (tptp.or @t74 @t73))))) % 206.50/206.74 (assume @p32 (forall (@list @t79 @t77 @t78 @t76) (=> (= (tptp.and @t79 @t77) (tptp.and @t78 @t76)) (= @t77 @t76)))) % 206.50/206.74 (assume @p33 (forall (@list @t81 @t83 @t80 @t82) (=> (= (tptp.and @t81 @t83) (tptp.and @t80 @t82)) (= @t81 @t80)))) % 206.50/206.74 (assume @p34 (forall (@list @t87 @t86 @t85 @t84) (not (= (tptp.and @t87 @t86) (tptp.or @t85 @t84))))) % 206.50/206.74 (assume @p35 (forall (@list @t91 @t89 @t90 @t88) (=> (= (tptp.or @t91 @t89) (tptp.or @t90 @t88)) (= @t89 @t88)))) % 206.50/206.74 (assume @p36 (forall (@list @t93 @t95 @t92 @t94) (=> (= (tptp.or @t93 @t95) (tptp.or @t92 @t94)) (= @t93 @t92)))) % 206.50/206.74 (assume @p37 (tptp.gr tptp.nil)) % 206.50/206.74 (assume @p38 (forall (@list @t97 @t96) (= (and (tptp.gr @t97) (tptp.gr @t96)) (tptp.gr (tptp.cons @t97 @t96))))) % 206.50/206.74 (assume @p39 (tptp.gr |tptp.'1'|)) % 206.50/206.74 (assume @p40 (tptp.gr |tptp.'0'|)) % 206.50/206.74 (assume @p41 (forall (@list @t98) (= (tptp.gr @t98) (tptp.gr (tptp.p @t98))))) % 206.50/206.74 (assume @p42 (forall (@list @t99) (= (tptp.gr @t99) (tptp.gr (tptp.neg @t99))))) % 206.50/206.74 (assume @p43 (forall (@list @t101 @t100) (= (and (tptp.gr @t101) (tptp.gr @t100)) (tptp.gr (tptp.and @t101 @t100))))) % 206.50/206.74 (assume @p44 (forall (@list @t103 @t102) (= (and (tptp.gr @t103) (tptp.gr @t102)) (tptp.gr (tptp.or @t103 @t102))))) % 206.50/206.74 (assume @p45 (forall @t108 (not (and @t107 @t106)))) % 206.50/206.74 (assume @p46 (forall @t108 (=> (tptp.defined_terminates @t105 @t104) (or @t107 @t106)))) % 206.50/206.74 (assume @p47 (forall @t114 (not (and @t113 @t112)))) % 206.50/206.74 (assume @p48 (forall @t114 (=> (tptp.eval_terminates @t111 @t110 @t109) (or @t113 @t112)))) % 206.50/206.74 (assume @p49 (forall @t120 (not (and @t119 @t118)))) % 206.50/206.74 (assume @p50 (forall @t120 (=> (tptp.false_terminates @t117 @t116 @t115) (or @t119 @t118)))) % 206.50/206.74 (assume @p51 (forall @t126 (not (and @t125 @t124)))) % 206.50/206.74 (assume @p52 (forall @t126 (=> (tptp.true_terminates @t123 @t122 @t121) (or @t125 @t124)))) % 206.50/206.74 (assume @p53 (forall @t130 (not (and @t129 @t128)))) % 206.50/206.74 (assume @p54 (forall @t130 (=> (tptp.satisfiable_terminates @t127) (or @t129 @t128)))) % 206.50/206.74 (assume @p55 (forall @t134 (not (and @t133 @t132)))) % 206.50/206.74 (assume @p56 (forall @t134 (=> (tptp.valid_terminates @t131) (or @t133 @t132)))) % 206.50/206.74 (assume @p57 (forall @t138 (not (and @t137 @t136)))) % 206.50/206.74 (assume @p58 (forall @t138 (=> (tptp.incon_terminates @t135) (or @t137 @t136)))) % 206.50/206.74 (assume @p59 (forall @t142 (not (and @t141 @t140)))) % 206.50/206.74 (assume @p60 (forall @t142 (=> (tptp.interpretation_terminates @t139) (or @t141 @t140)))) % 206.50/206.74 (assume @p61 (forall @t146 (not (and @t145 @t144)))) % 206.50/206.74 (assume @p62 (forall @t146 (=> (tptp.literal_list_terminates @t143) (or @t145 @t144)))) % 206.50/206.74 (assume @p63 (forall @t150 (not (and @t149 @t148)))) % 206.50/206.74 (assume @p64 (forall @t150 (=> (tptp.literal_terminates @t147) (or @t149 @t148)))) % 206.50/206.74 (assume @p65 (forall @t154 (not (and @t153 @t152)))) % 206.50/206.74 (assume @p66 (forall @t154 (=> (tptp.formula_terminates @t151) (or @t153 @t152)))) % 206.50/206.74 (assume @p67 (forall @t159 (not (and @t158 @t157)))) % 206.50/206.74 (assume @p68 (forall @t159 (=> (tptp.member_terminates @t156 @t155) (or @t158 @t157)))) % 206.50/206.74 (assume @p69 (forall @t163 (not (and @t162 @t161)))) % 206.50/206.74 (assume @p70 (forall @t163 (=> (tptp.list_terminates @t160) (or @t162 @t161)))) % 206.50/206.74 (assume @p71 (forall @t179 (= (tptp.defined_succeeds @t166 @t164) (or (exists @t178 (and @t177 (tptp.defined_succeeds @t176 @t164) (tptp.defined_succeeds @t2 @t164))) (exists @t175 (and @t174 (tptp.defined_succeeds @t1 @t164) (tptp.defined_succeeds @t4 @t164))) (exists @t8 (and @t173 (tptp.defined_succeeds @t6 @t164))) (exists @t172 (and @t171 (tptp.member_succeeds @t170 @t164))) (exists @t168 (and @t167 (tptp.member_succeeds @t165 @t164))))))) % 206.50/206.74 (assume @p72 (forall @t179 (= (tptp.defined_fails @t166 @t164) (and (forall @t178 (or @t186 @t185 (tptp.defined_fails @t2 @t164))) (forall @t175 (or @t184 @t183 (tptp.defined_fails @t4 @t164))) (forall @t8 (or @t182 (tptp.defined_fails @t6 @t164))) (forall @t172 (or @t181 (tptp.member_fails @t170 @t164))) (forall @t168 (or @t180 (tptp.member_fails @t165 @t164))))))) % 206.50/206.74 (assume @p73 (forall @t179 (= (tptp.defined_terminates @t166 @t164) (and (forall @t178 (and true (or @t186 (and (tptp.defined_terminates @t176 @t164) (or @t185 (tptp.defined_terminates @t2 @t164)))))) (forall @t175 (and true (or @t184 (and (tptp.defined_terminates @t1 @t164) (or @t183 (tptp.defined_terminates @t4 @t164)))))) (forall @t8 (and true (or @t182 (tptp.defined_terminates @t6 @t164)))) (forall @t172 (and true (or @t181 (tptp.member_terminates @t170 @t164)))) (forall @t168 (and true (or @t180 (tptp.member_terminates @t165 @t164)))))))) % 206.50/206.74 (assume @p74 (forall @t211 (= (tptp.eval_succeeds @t166 @t164 @t176) (or (exists @t3 (and @t210 @t193 (tptp.eval_succeeds @t2 @t164 |tptp.'0'|) (tptp.eval_succeeds @t1 @t164 |tptp.'0'|))) (exists @t208 (and @t207 @t188 (tptp.eval_succeeds @t6 @t164 |tptp.'1'|))) (exists @t12 (and @t205 @t188 (tptp.eval_succeeds @t10 @t164 |tptp.'1'|))) (exists @t15 (and @t204 @t193 (tptp.eval_succeeds @t13 @t164 |tptp.'0'|))) (exists @t203 (and @t202 @t193 (tptp.eval_succeeds @t19 @t164 |tptp.'0'|))) (exists @t201 (and @t200 @t188 (tptp.eval_succeeds @t18 @t164 |tptp.'1'|) (tptp.eval_succeeds @t16 @t164 |tptp.'1'|))) (exists @t199 (and @t198 @t193 (tptp.eval_succeeds @t21 @t164 |tptp.'1'|))) (exists @t197 (and @t196 @t188 (tptp.eval_succeeds @t23 @t164 |tptp.'0'|))) (exists @t195 (and @t194 @t193 (tptp.member_succeeds @t192 @t164))) (exists @t190 (and @t189 @t188 (tptp.member_succeeds @t187 @t164))))))) % 206.50/206.74 (assume @p75 (forall @t211 (= (tptp.eval_fails @t166 @t164 @t176) (and (forall @t3 (or @t225 @t214 @t224 (tptp.eval_fails @t1 @t164 |tptp.'0'|))) (forall @t208 (or @t223 @t212 (tptp.eval_fails @t6 @t164 |tptp.'1'|))) (forall @t12 (or @t222 @t212 (tptp.eval_fails @t10 @t164 |tptp.'1'|))) (forall @t15 (or @t221 @t214 (tptp.eval_fails @t13 @t164 |tptp.'0'|))) (forall @t203 (or @t220 @t214 (tptp.eval_fails @t19 @t164 |tptp.'0'|))) (forall @t201 (or @t219 @t212 @t218 (tptp.eval_fails @t16 @t164 |tptp.'1'|))) (forall @t199 (or @t217 @t214 (tptp.eval_fails @t21 @t164 |tptp.'1'|))) (forall @t197 (or @t216 @t212 (tptp.eval_fails @t23 @t164 |tptp.'0'|))) (forall @t195 (or @t215 @t214 (tptp.member_fails @t192 @t164))) (forall @t190 (or @t213 @t212 (tptp.member_fails @t187 @t164))))))) % 206.50/206.74 (assume @p76 (forall @t211 (= (tptp.eval_terminates @t166 @t164 @t176) (and (forall @t3 (and true (or @t225 (and true (or @t214 (and (tptp.eval_terminates @t2 @t164 |tptp.'0'|) (or @t224 (tptp.eval_terminates @t1 @t164 |tptp.'0'|)))))))) (forall @t208 (and true (or @t223 (and true (or @t212 (tptp.eval_terminates @t6 @t164 |tptp.'1'|)))))) (forall @t12 (and true (or @t222 (and true (or @t212 (tptp.eval_terminates @t10 @t164 |tptp.'1'|)))))) (forall @t15 (and true (or @t221 (and true (or @t214 (tptp.eval_terminates @t13 @t164 |tptp.'0'|)))))) (forall @t203 (and true (or @t220 (and true (or @t214 (tptp.eval_terminates @t19 @t164 |tptp.'0'|)))))) (forall @t201 (and true (or @t219 (and true (or @t212 (and (tptp.eval_terminates @t18 @t164 |tptp.'1'|) (or @t218 (tptp.eval_terminates @t16 @t164 |tptp.'1'|)))))))) (forall @t199 (and true (or @t217 (and true (or @t214 (tptp.eval_terminates @t21 @t164 |tptp.'1'|)))))) (forall @t197 (and true (or @t216 (and true (or @t212 (tptp.eval_terminates @t23 @t164 |tptp.'0'|)))))) (forall @t195 (and true (or @t215 (and true (or @t214 (tptp.member_terminates @t192 @t164)))))) (forall @t190 (and true (or @t213 (and true (or @t212 (tptp.member_terminates @t187 @t164)))))))))) % 206.50/206.74 (assume @p77 (forall @t211 (= (tptp.false_succeeds @t166 @t164 @t176) (or (exists @t238 (and @t210 (tptp.false_succeeds @t2 @t164 @t4) (tptp.false_succeeds @t1 @t4 @t176))) (exists @t237 (and @t236 (tptp.false_succeeds @t10 @t164 @t176))) (exists @t235 (and @t234 (tptp.false_succeeds @t9 @t164 @t176))) (exists @t233 (and @t232 (tptp.true_succeeds @t13 @t164 @t176))) (exists @t230 (and @t229 @t228 (tptp.member_fails @t226 @t164))))))) % 206.50/206.74 (assume @p78 (forall @t211 (= (tptp.false_fails @t166 @t164 @t176) (and (forall @t238 (or @t225 @t244 (tptp.false_fails @t1 @t4 @t176))) (forall @t237 (or @t243 (tptp.false_fails @t10 @t164 @t176))) (forall @t235 (or @t242 (tptp.false_fails @t9 @t164 @t176))) (forall @t233 (or @t241 (tptp.true_fails @t13 @t164 @t176))) (forall @t230 (or @t240 @t239 (tptp.member_succeeds @t226 @t164))))))) % 206.50/206.74 (assume @p79 (forall @t211 (= (tptp.false_terminates @t166 @t164 @t176) (and (forall @t238 (and true (or @t225 (and (tptp.false_terminates @t2 @t164 @t4) (or @t244 (tptp.false_terminates @t1 @t4 @t176)))))) (forall @t237 (and true (or @t243 (tptp.false_terminates @t10 @t164 @t176)))) (forall @t235 (and true (or @t242 (tptp.false_terminates @t9 @t164 @t176)))) (forall @t233 (and true (or @t241 (tptp.true_terminates @t13 @t164 @t176)))) (forall @t230 (and true (or @t240 (and true (or @t239 (and (tptp.member_terminates @t226 @t164) (tptp.gr @t226) @t245)))))))))) % 206.50/206.74 (assume @p80 @t268) % 206.50/206.74 (assume @p81 (forall @t211 (= (tptp.true_fails @t166 @t164 @t176) (and (forall @t3 (or @t225 (tptp.true_fails @t1 @t164 @t176))) (forall @t208 (or @t223 (tptp.true_fails @t4 @t164 @t176))) (forall @t257 (or @t271 @t270 (tptp.true_fails @t9 @t14 @t176))) (forall @t233 (or @t241 (tptp.false_fails @t13 @t164 @t176))) (forall @t230 (or @t240 @t269 (tptp.member_succeeds @t227 @t164))))))) % 206.50/206.74 (assume @p82 (forall @t211 (= (tptp.true_terminates @t166 @t164 @t176) (and (forall @t3 (and true (or @t225 (tptp.true_terminates @t1 @t164 @t176)))) (forall @t208 (and true (or @t223 (tptp.true_terminates @t4 @t164 @t176)))) (forall @t257 (and true (or @t271 (and (tptp.true_terminates @t10 @t164 @t14) (or @t270 (tptp.true_terminates @t9 @t14 @t176)))))) (forall @t233 (and true (or @t241 (tptp.false_terminates @t13 @t164 @t176)))) (forall @t230 (and true (or @t240 (and true (or @t269 (and (tptp.member_terminates @t227 @t164) (tptp.gr @t227) @t245)))))))))) % 206.50/206.74 (assume @p83 @t278) % 206.50/206.74 (assume @p84 (forall @t277 (= (tptp.satisfiable_fails @t166) (forall @t273 (tptp.true_fails @t166 tptp.nil @t164))))) % 206.50/206.74 (assume @p85 (forall @t277 (= (tptp.satisfiable_terminates @t166) (forall @t273 (tptp.true_terminates @t166 tptp.nil @t164))))) % 206.50/206.74 (assume @p86 (forall @t277 (= (tptp.valid_succeeds @t166) (tptp.satisfiable_fails @t279)))) % 206.50/206.74 (assume @p87 (forall @t277 (= (tptp.valid_fails @t166) (tptp.satisfiable_succeeds @t279)))) % 206.50/206.74 (assume @p88 (forall @t277 (= (tptp.valid_terminates @t166) (and (tptp.satisfiable_terminates @t279) (tptp.gr @t279))))) % 206.50/206.74 (assume @p89 (forall @t277 (= @t282 (exists @t273 (and (tptp.member_succeeds @t280 @t166) (tptp.member_succeeds @t281 @t166)))))) % 206.50/206.74 (assume @p90 (forall @t277 (= @t284 (forall @t273 (or @t283 (tptp.member_fails @t281 @t166)))))) % 206.50/206.74 (assume @p91 (forall @t277 (= @t285 (forall @t273 (and (tptp.member_terminates @t280 @t166) (or @t283 (tptp.member_terminates @t281 @t166))))))) % 206.50/206.74 (assume @p92 (forall @t277 (= (tptp.interpretation_succeeds @t166) (and @t286 @t284)))) % 206.50/206.74 (assume @p93 (forall @t277 (= (tptp.interpretation_fails @t166) (or @t287 @t282)))) % 206.50/206.74 (assume @p94 (forall @t277 (= (tptp.interpretation_terminates @t166) (and @t288 (or @t287 (and @t285 (tptp.gr @t166))))))) % 206.50/206.74 (assume @p95 (forall @t277 (= @t286 (or (exists @t291 (and @t290 (tptp.literal_succeeds @t164) (tptp.literal_list_succeeds @t176))) @t289)))) % 206.50/206.74 (assume @p96 (forall @t277 (= @t287 (and (forall @t291 (or @t294 @t293 (tptp.literal_list_fails @t176))) @t292)))) % 206.50/206.74 (assume @p97 (forall @t277 (= @t288 (and (forall @t291 (and true (or @t294 (and (tptp.literal_terminates @t164) (or @t293 (tptp.literal_list_terminates @t176)))))) true)))) % 206.50/206.74 (assume @p98 (forall @t277 (= (tptp.literal_succeeds @t166) (or (exists @t273 @t297) (exists @t296 @t295))))) % 206.50/206.74 (assume @p99 (forall @t277 (= (tptp.literal_fails @t166) (and (forall @t273 (not @t297)) (forall @t296 (not @t295)))))) % 206.50/206.74 (assume @p100 (forall @t277 (= (tptp.literal_terminates @t166) (and (forall @t273 true) (forall @t296 true))))) % 206.50/206.74 (assume @p101 (forall @t277 (= (tptp.formula_succeeds @t166) (or (exists @t291 (and @t301 (tptp.formula_succeeds @t164) (tptp.formula_succeeds @t176))) (exists @t3 (and @t300 (tptp.formula_succeeds @t2) (tptp.formula_succeeds @t1))) (exists @t5 (and @t299 (tptp.formula_succeeds @t4))) (exists @t8 @t298))))) % 206.50/206.74 (assume @p102 (forall @t277 (= (tptp.formula_fails @t166) (and (forall @t291 (or @t306 @t305 (tptp.formula_fails @t176))) (forall @t3 (or @t304 @t303 (tptp.formula_fails @t1))) (forall @t5 (or @t302 (tptp.formula_fails @t4))) (forall @t8 (not @t298)))))) % 206.50/206.74 (assume @p103 (forall @t277 (= (tptp.formula_terminates @t166) (and (forall @t291 (and true (or @t306 (and (tptp.formula_terminates @t164) (or @t305 (tptp.formula_terminates @t176)))))) (forall @t3 (and true (or @t304 (and (tptp.formula_terminates @t2) (or @t303 (tptp.formula_terminates @t1)))))) (forall @t5 (and true (or @t302 (tptp.formula_terminates @t4)))) (forall @t8 true))))) % 206.50/206.74 (assume @p104 (forall @t179 (= (tptp.member_succeeds @t166 @t164) (or (exists @t178 (and @t309 (tptp.member_succeeds @t166 @t2))) (exists @t308 @t307))))) % 206.50/206.74 (assume @p105 (forall @t179 (= (tptp.member_fails @t166 @t164) (and (forall @t178 (or @t310 (tptp.member_fails @t166 @t2))) (forall @t308 (not @t307)))))) % 206.50/206.74 (assume @p106 (forall @t179 (= (tptp.member_terminates @t166 @t164) (and (forall @t178 (and true (or @t310 (tptp.member_terminates @t166 @t2)))) (forall @t308 true))))) % 206.50/206.74 (assume @p107 (forall @t277 (= (tptp.list_succeeds @t166) (or (exists @t291 (and @t290 (tptp.list_succeeds @t176))) @t289)))) % 206.50/206.74 (assume @p108 (forall @t277 (= (tptp.list_fails @t166) (and (forall @t291 (or @t294 (tptp.list_fails @t176))) @t292)))) % 206.50/206.74 (assume @p109 (forall @t277 (= (tptp.list_terminates @t166) (and (forall @t291 (and true (or @t294 (tptp.list_terminates @t176)))) true)))) % 206.50/206.74 (assume @p110 (forall (@list @t313 @t311) (= (tptp.sub @t313 @t311) (forall @t314 (=> (tptp.member_succeeds @t312 @t313) (tptp.member_succeeds @t312 @t311)))))) % 206.50/206.74 (assume @p111 (forall (@list @t312 @t315) (=> (tptp.list_succeeds @t315) (tptp.member_terminates @t312 @t315)))) % 206.50/206.74 (assume @p112 (forall (@list @t312 @t316 @t315) (=> (and (tptp.member_succeeds @t312 (tptp.cons @t316 @t315)) (not @t317)) (tptp.member_succeeds @t312 @t315)))) % 206.50/206.74 (assume @p113 (forall @t320 (tptp.sub @t318 @t319))) % 206.50/206.74 (assume @p114 (forall (@list @t318 @t322 @t321) (=> (and @t323 (tptp.sub @t322 @t321)) (tptp.sub @t318 @t321)))) % 206.50/206.74 (assume @p115 (forall (@list @t315) (tptp.sub tptp.nil @t315))) % 206.50/206.74 (assume @p116 (forall (@list @t312 @t318 @t322) (=> (and @t323 (tptp.member_succeeds @t312 @t322)) (tptp.sub @t319 @t322)))) % 206.50/206.74 (assume @p117 (forall @t325 (=> @t324 (tptp.incon_terminates @t318)))) % 206.50/206.74 (assume @p118 (forall @t325 (=> @t326 @t324))) % 206.50/206.74 (assume @p119 (forall @t325 (=> @t332 @t331))) % 206.50/206.74 (assume @p120 (forall @t325 (=> @t331 @t332))) % 206.50/206.74 (assume @p121 (forall @t320 (=> (and @t332 (not @t329)) @t333))) % 206.50/206.74 (assume @p122 (forall @t320 (=> (and @t332 (tptp.member_fails @t328 @t318)) @t333))) % 206.50/206.74 (assume @p123 (forall @t320 (=> (and @t332 (not @t330)) @t334))) % 206.50/206.74 (assume @p124 (forall @t320 (=> (and @t332 (tptp.member_fails @t327 @t318)) @t334))) % 206.50/206.74 (assume @p125 (tptp.interpretation_succeeds tptp.nil)) % 206.50/206.74 (assume @p126 (and (forall @t340 (=> @t341 @t337)) (forall @t340 (=> @t339 @t337)))) % 206.50/206.74 (assume @p127 (forall @t340 (=> (and @t341 @t332) @t336))) % 206.50/206.74 (assume @p128 (forall @t340 (=> (and @t339 @t332) @t336))) % 206.50/206.74 (assume @p129 (forall @t340 (=> (and @t341 @t326) @t335))) % 206.50/206.74 (assume @p130 (forall @t340 (=> (and @t339 @t326) @t335))) % 206.50/206.74 (assume @p131 (forall @t340 (=> @t341 @t323))) % 206.50/206.74 (assume @p132 (forall @t340 (=> @t339 @t323))) % 206.50/206.74 (assume @p133 (and (forall @t340 (=> @t341 @t345)) (forall @t340 (=> @t339 @t345)))) % 206.50/206.74 (assume @p134 (forall @t340 (=> (and @t341 @t344 @t343) @t342))) % 206.50/206.74 (assume @p135 (forall @t340 (=> (and @t339 @t344 @t343) @t342))) % 206.50/206.74 (assume @p136 (forall @t347 (=> @t346 (forall (@list @t318 @t322) (=> (and @t344 @t326 @t343) (and (tptp.true_terminates @t338 @t318 @t322) (tptp.false_terminates @t338 @t318 @t322))))))) % 206.50/206.74 (assume @p137 (forall @t347 (=> @t348 (tptp.satisfiable_terminates @t338)))) % 206.50/206.74 (assume @p138 (forall @t347 (=> @t348 (tptp.valid_terminates @t338)))) % 206.50/206.74 (assume @p139 (forall @t347 (=> @t346 (forall (@list @t318 @t312) (=> @t324 (tptp.eval_terminates @t338 @t318 @t312)))))) % 206.50/206.74 (assume @p140 (forall @t352 (=> @t351 (forall @t350 (=> @t323 @t349))))) % 206.50/206.74 (assume @p141 (forall (@list @t338 @t318 @t322 @t312) (=> (and @t351 @t323) @t349))) % 206.50/206.74 (assume @p142 (and (forall @t340 (=> @t341 (tptp.eval_succeeds @t338 @t322 |tptp.'1'|))) (forall @t340 (=> @t339 (tptp.eval_succeeds @t338 @t322 |tptp.'0'|))))) % 206.50/206.74 (assume @p143 (forall @t354 (=> @t353 (or (tptp.eval_succeeds @t338 @t318 |tptp.'1'|) (tptp.eval_succeeds @t338 @t318 |tptp.'0'|))))) % 206.50/206.74 (assume @p144 (forall @t352 (=> @t351 (=> @t332 (forall (@list @t316) (=> (tptp.eval_succeeds @t338 @t318 @t316) @t317)))))) % 206.50/206.74 (assume @p145 (forall @t354 (=> @t353 (forall @t350 (=> @t323 @t355))))) % 206.50/206.74 (assume @p146 (forall @t340 (=> (and @t353 @t323) @t355))) % 206.50/206.74 (assume @p147 (=> true true)) % 206.50/206.74 (assume @p148 @t361) % 206.50/206.74 (assume @p149 true) % 206.50/206.74 (step @p150 :rule exists-elim :args ((= @t357 @t362))) % 206.50/206.74 (step @p151 :rule refl :args (@t358)) % 206.50/206.74 (step @p152 :rule cong :premises (@p151 @p150) :args (@t359)) % 206.50/206.74 (step @p153 :rule cong :premises (@p152) :args (@t360)) % 206.50/206.74 (step @p154 :rule cong :premises (@p153) :args (@t361)) % 206.50/206.74 (step @p155 :rule eq_resolve :premises (@p148 @p154)) % 206.50/206.74 (step @p156 :rule skolemize :premises (@p155)) % 206.50/206.74 (step @p157 :rule bool-double-not-elim :args (@t364)) % 206.50/206.74 (step @p158 :rule refl :args (@t366)) % 206.50/206.74 (step @p159 :rule refl :args (@t368)) % 206.50/206.74 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args ((or @t368 @t366 @t369))) % 206.50/206.74 (step @p161 :rule cnf_equiv_neg2 :args (@t368)) % 206.50/206.74 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 206.50/206.74 (step @p163 :rule reordering :premises (@p162) :args ((or @t364 @t368 @t366))) % 206.50/206.74 (step @p164 :rule instantiate :premises (@p87) :args (@t370)) % 206.50/206.74 (step @p165 :rule cnf_equiv_pos1 :args (@t373)) % 206.50/206.74 (step @p166 :rule reordering :premises (@p165) :args ((or @t366 @t372 @t374))) % 206.50/206.74 (assume-push @p552 @t364) % 206.50/206.74 (step @p168 :rule instantiate :premises (@p552) :args ((@list @t376))) % 206.50/206.74 (step-pop @p553 :rule scope :premises (@p168)) % 206.50/206.74 (step @p169 :rule process_scope :premises (@p553) :args (@t378)) % 206.50/206.74 (step @p171 :rule implies_elim :premises (@p169)) % 206.50/206.74 (step @p172 :rule exists-elim :args ((= @t274 (not (forall @t273 (not @t272)))))) % 206.50/206.74 (step @p173 :rule refl :args (@t275)) % 206.50/206.74 (step @p174 :rule cong :premises (@p173 @p172) :args (@t276)) % 206.50/206.74 (step @p175 :rule cong :premises (@p174) :args (@t278)) % 206.50/206.74 (step @p176 :rule eq_resolve :premises (@p83 @p175)) % 206.50/206.74 (step @p177 :rule instantiate :premises (@p176) :args ((@list @t371))) % 206.50/206.74 (step @p178 :rule cnf_equiv_pos1 :args (@t380)) % 206.50/206.74 (step @p179 :rule reordering :premises (@p178) :args ((or @t382 @t379 @t381))) % 206.50/206.74 (step @p180 :rule bool-double-not-elim :args (@t388)) % 206.50/206.74 (step @p181 :rule refl :args (@t392)) % 206.50/206.74 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t392 (not @t391)))) % 206.50/206.74 (step @p183 :rule cnf_or_neg :args (@t392 0)) % 206.50/206.74 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 206.50/206.74 (step @p185 :rule reordering :premises (@p184) :args ((or @t388 @t392))) % 206.50/206.74 (step @p186 :rule bool-double-not-elim :args (@t389)) % 206.50/206.74 (step @p187 :rule nary_cong :premises (@p181 @p186) :args ((or @t392 (not @t390)))) % 206.50/206.74 (step @p188 :rule cnf_or_neg :args (@t392 1)) % 206.50/206.74 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 206.50/206.74 (step @p190 :rule reordering :premises (@p189) :args ((or @t389 @t392))) % 206.50/206.74 (step @p191 :rule bool-impl-elim :args (@t68 @t67)) % 206.50/206.74 (step @p192 :rule cong :premises (@p191) :args (@t69)) % 206.50/206.74 (step @p193 :rule eq_resolve :premises (@p29 @p192)) % 206.50/206.74 (step @p194 :rule instantiate :premises (@p193) :args ((@list @t363 @t386))) % 206.50/206.74 (step @p195 :rule cnf_or_pos :args (@t394)) % 206.50/206.74 (step @p196 :rule reordering :premises (@p195) :args ((or @t391 @t393 (not @t394)))) % 206.50/206.74 (step @p197 :rule bool-double-not-elim :args (@t377)) % 206.50/206.74 (step @p198 :rule refl :args (@t395)) % 206.50/206.74 (step @p199 :rule refl :args (@t390)) % 206.50/206.74 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197) :args ((or @t390 @t395 (not @t378)))) % 206.50/206.74 (assume-push @p554 @t378) % 206.50/206.74 (assume-push @p555 @t393) % 206.50/206.74 (assume-push @p556 @t389) % 206.50/206.74 (step @p204 :rule evaluate :args ((= true false))) % 206.50/206.74 (step @p205 :rule false_intro :premises (@p554)) % 206.50/206.74 (step @p206 :rule refl :args (@t376)) % 206.50/206.74 (step @p207 :rule refl :args (tptp.nil)) % 206.50/206.74 (step @p208 :rule symm :premises (@p555)) % 206.50/206.74 (step @p209 :rule cong :premises (@p208 @p207 @p206) :args (@t389)) % 206.50/206.74 (step @p210 :rule true_intro :premises (@p556)) % 206.50/206.74 (step @p211 :rule symm :premises (@p210)) % 206.50/206.74 (step @p212 :rule trans :premises (@p211 @p209 @p205)) % 206.50/206.74 (step @p213 false :rule eq_resolve :premises (@p212 @p204)) % 206.50/206.74 (step-pop @p557 :rule scope :premises (@p213)) % 206.50/206.74 (step-pop @p558 :rule scope :premises (@p557)) % 206.50/206.74 (step-pop @p559 :rule scope :premises (@p558)) % 206.50/206.74 (step @p214 :rule process_scope :premises (@p559) :args (false)) % 206.50/206.74 (assume-push @p560 @t389) % 206.50/206.74 (assume-push @p561 @t393) % 206.50/206.74 (assume-push @p562 @t378) % 206.50/206.74 (step @p221 :rule and_intro :premises (@p562 @p561 @p560)) % 206.50/206.74 (step-pop @p563 :rule scope :premises (@p221)) % 206.50/206.74 (step-pop @p564 :rule scope :premises (@p563)) % 206.50/206.74 (step-pop @p565 :rule scope :premises (@p564)) % 206.50/206.74 (step @p222 :rule process_scope :premises (@p565) :args (@t396)) % 206.50/206.74 (step @p226 :rule implies_elim :premises (@p222)) % 206.50/206.74 (step @p227 :rule resolution :premises (@p226 @p214) :args (true @t396)) % 206.50/206.74 (step @p228 :rule not_and :premises (@p227)) % 206.50/206.74 (step @p229 :rule eq_resolve :premises (@p228 @p200)) % 206.50/206.74 (step @p230 :rule chain_m_resolution :premises (@p229 @p196 @p194 @p190 @p185) :args ((or @t392 @t377) (@list false false false false) (@list @t393 @t394 @t389 @t388))) % 206.50/206.74 (step @p231 :rule refl :args (@t397)) % 206.50/206.74 (step @p232 :rule bool-double-not-elim :args (@t375)) % 206.50/206.74 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t398 @t397))) % 206.50/206.74 (step @p234 :rule bool-double-not-elim :args (@t397)) % 206.50/206.74 (step @p235 :rule refl :args (@t379)) % 206.50/206.74 (step @p236 :rule cong :premises (@p235 @p234) :args ((=> @t379 @t400))) % 206.50/206.74 (assume-push @p566 @t379) % 206.50/206.74 (step @p238 :rule skolemize :premises (@p566)) % 206.50/206.74 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:args (@t459)) % 206.50/206.74 (step @p444 :rule nary_cong :premises (@p443 @p442) :args ((or (not @t460) @t508))) % 206.50/206.74 (step @p445 :rule refl :args (@t505)) % 206.50/206.74 (step @p446 :rule eq-symm :args (@t503 @t371)) % 206.50/206.74 (step @p447 :rule cong :premises (@p446) :args (@t509)) % 206.50/206.74 (step @p448 :rule nary_cong :premises (@p447 @p445) :args (@t510)) % 206.50/206.74 (step @p449 :rule cong :premises (@p448) :args (@t511)) % 206.50/206.74 (step @p450 :rule refl :args (@t460)) % 206.50/206.74 (step @p451 :rule cong :premises (@p450 @p449) :args ((=> @t460 @t511))) % 206.50/206.74 (assume-push @p580 @t460) % 206.50/206.74 (step @p453 :rule skolemize :premises (@p580)) % 206.50/206.74 (step-pop @p581 :rule scope :premises (@p453)) % 206.50/206.74 (step @p454 :rule process_scope :premises (@p581) :args (@t511)) % 206.50/206.74 (step @p456 :rule eq_resolve :premises (@p454 @p451)) % 206.50/206.74 (step @p457 :rule implies_elim :premises (@p456)) % 206.50/206.74 (step @p458 :rule eq_resolve :premises (@p457 @p444)) % 206.50/206.74 (step @p459 :rule chain_m_resolution :premises (@p458 @p441) :args (@t459 @t463 (@list @t507))) % 206.50/206.74 (step @p460 :rule cnf_or_pos :args (@t461)) % 206.50/206.74 (step @p461 :rule reordering :premises (@p460) :args ((or @t438 @t460 @t457 @t402 @t454 (not @t461)))) % 206.50/206.74 (step @p462 :rule chain_m_resolution :premises (@p461 @p459 @p433 @p407 @p381 @p346 @p344 @p259 @p243 @p230 @p179 @p177 @p171 @p166 @p164 @p163 @p156) :args (@t366 (@list false false false false false false false false false true false true false false false true) (@list @t459 @t456 @t437 @t453 @t461 @t462 @t385 @t397 @t392 @t375 @t380 @t377 @t372 @t373 @t364 @t368))) % 206.50/206.74 (step @p463 :rule cnf_equiv_neg1 :args (@t368)) % 206.50/206.74 (step @p464 :rule reordering :premises (@p463) :args ((or @t365 @t367 @t368))) % 206.50/206.74 (step @p465 :rule chain_m_resolution :premises (@p464 @p462 @p156) :args (@t367 (@list true true) (@list @t365 @t368))) % 206.50/206.74 (step @p466 :rule refl :args (@t513)) % 206.50/206.74 (step @p467 :rule nary_cong :premises (@p157 @p466) :args ((or @t369 @t513))) % 206.50/206.74 (step @p468 :rule bool-double-not-elim :args (@t513)) % 206.50/206.74 (step @p469 :rule refl :args (@t367)) % 206.50/206.74 (step @p470 :rule cong :premises (@p469 @p468) :args ((=> @t367 @t515))) % 206.50/206.74 (assume-push @p582 @t367) % 206.50/206.74 (step @p472 :rule skolemize :premises (@p582)) % 206.50/206.74 (step-pop @p583 :rule scope :premises (@p472)) % 206.50/206.74 (step @p473 :rule process_scope :premises (@p583) :args (@t515)) % 206.50/206.74 (step @p475 :rule eq_resolve :premises (@p473 @p470)) % 206.50/206.74 (step @p476 :rule implies_elim :premises (@p475)) % 206.50/206.74 (step @p477 :rule eq_resolve :premises (@p476 @p467)) % 206.50/206.74 (step @p478 :rule chain_m_resolution :premises (@p477 @p465) :args (@t513 @t473 (@list @t364))) % 206.50/206.74 (step @p479 :rule eq-symm :args (@t512 @t425)) % 206.50/206.74 (step @p480 :rule cong :premises (@p479) :args (@t516)) % 206.50/206.74 (step @p481 :rule nary_cong :premises (@p311 @p480 @p308) :args (@t517)) % 206.50/206.74 (step @p482 :rule cong :premises (@p481) :args (@t518)) % 206.50/206.74 (step @p483 :rule cong :premises (@p482) :args (@t519)) % 206.50/206.74 (step @p484 :rule refl :args (@t520)) % 206.50/206.74 (step @p485 :rule nary_cong :premises (@p317 @p484) :args (@t521)) % 206.50/206.74 (step @p486 :rule cong :premises (@p485) :args (@t522)) % 206.50/206.74 (step @p487 :rule cong :premises (@p486) :args (@t523)) % 206.50/206.74 (step @p488 :rule refl :args (@t524)) % 206.50/206.74 (step @p489 :rule refl :args (@t525)) % 206.50/206.74 (step @p490 :rule nary_cong :premises (@p324 @p489) :args (@t526)) % 206.50/206.74 (step @p491 :rule cong :premises (@p490) :args (@t527)) % 206.50/206.74 (step @p492 :rule cong :premises (@p491) :args (@t528)) % 206.50/206.74 (step @p493 :rule refl :args (@t529)) % 206.50/206.74 (step @p494 :rule nary_cong :premises (@p330 @p493) :args (@t530)) % 206.50/206.74 (step @p495 :rule cong :premises (@p494) :args (@t531)) % 206.50/206.74 (step @p496 :rule cong :premises (@p495) :args (@t532)) % 206.50/206.74 (step @p497 :rule nary_cong :premises (@p496 @p492 @p488 @p487 @p483) :args (@t533)) % 206.50/206.74 (step @p498 :rule refl :args (@t534)) % 206.50/206.74 (step @p499 :rule cong :premises (@p498 @p497) :args (@t535)) % 206.50/206.74 (step @p500 :rule cong :premises (@p336 @p499) :args ((=> @t451 @t535))) % 206.50/206.74 (assume-push @p584 @t451) % 206.50/206.74 (step @p502 :rule instantiate :premises (@p307) :args ((@list @t371 tptp.nil @t512))) % 206.50/206.74 (step-pop @p585 :rule scope :premises (@p502)) % 206.50/206.74 (step @p503 :rule process_scope :premises (@p585) :args (@t535)) % 206.50/206.74 (step @p505 :rule eq_resolve :premises (@p503 @p500)) % 206.50/206.74 (step @p506 :rule implies_elim :premises (@p505)) % 206.50/206.74 (step @p507 :rule chain_m_resolution :premises (@p506 @p307) :args (@t539 @t463 @t464)) % 206.50/206.74 (step @p508 :rule cnf_equiv_pos2 :args (@t373)) % 206.50/206.74 (step @p509 :rule reordering :premises (@p508) :args ((or @t365 @t382 @t374))) % 206.50/206.74 (step @p510 :rule chain_m_resolution :premises (@p509 @p462 @p164) :args (@t382 @t540 (@list @t365 @t373))) % 206.50/206.74 (step @p511 :rule refl :args (@t372)) % 206.50/206.74 (step @p512 :rule refl :args (@t381)) % 206.50/206.74 (step @p513 :rule nary_cong :premises (@p512 @p511 @p232) :args ((or @t381 @t372 @t398))) % 206.50/206.74 (step @p514 :rule cnf_equiv_pos2 :args (@t380)) % 206.50/206.74 (step @p515 :rule eq_resolve :premises (@p514 @p513)) % 206.50/206.74 (step @p516 :rule reordering :premises (@p515) :args ((or @t372 @t375 @t381))) % 206.50/206.74 (step @p517 :rule chain_m_resolution :premises (@p516 @p510 @p177) :args (@t375 @t540 (@list @t372 @t380))) % 206.50/206.74 (assume-push @p586 @t375) % 206.50/206.74 (step @p519 :rule instantiate :premises (@p586) :args ((@list @t512))) % 206.50/206.74 (step-pop @p587 :rule scope :premises (@p519)) % 206.50/206.74 (step @p520 :rule process_scope :premises (@p587) :args (@t541)) % 206.50/206.74 (step @p522 :rule implies_elim :premises (@p520)) % 206.50/206.74 (step @p523 :rule chain_m_resolution :premises (@p522 @p517) :args (@t541 @t463 (@list @t375))) % 206.50/206.74 (step @p524 :rule cnf_equiv_pos2 :args (@t539)) % 206.50/206.74 (step @p525 :rule reordering :premises (@p524) :args ((or @t534 @t542 (not @t539)))) % 206.50/206.74 (step @p526 :rule chain_m_resolution :premises (@p525 @p523 @p507) :args (@t542 @t540 (@list @t534 @t539))) % 206.50/206.74 (step @p527 :rule bool-double-not-elim :args (@t536)) % 206.50/206.74 (step @p528 :rule refl :args (@t538)) % 206.50/206.74 (step @p529 :rule nary_cong :premises (@p528 @p527) :args ((or @t538 (not @t537)))) % 206.50/206.74 (step @p530 :rule cnf_or_neg :args (@t538 3)) % 206.50/206.74 (step @p531 :rule eq_resolve :premises (@p530 @p529)) % 206.50/206.74 (step @p532 :rule reordering :premises (@p531) :args ((or @t536 @t538))) % 206.50/206.74 (step @p533 :rule chain_m_resolution :premises (@p532 @p526) :args (@t536 @t473 (@list @t538))) % 206.50/206.74 (step @p534 :rule aci_norm :args ((= (or false @t514) @t514))) % 206.50/206.74 (step @p535 :rule refl :args (@t514)) % 206.50/206.74 (step @p536 :rule evaluate :args ((not true))) % 206.50/206.74 (step @p537 :rule eq-refl :args (@t371)) % 206.50/206.74 (step @p538 :rule cong :premises (@p537) :args (@t543)) % 206.50/206.74 (step @p539 :rule trans :premises (@p538 @p536)) % 206.50/206.74 (step @p540 :rule nary_cong :premises (@p539 @p535) :args (@t544)) % 206.50/206.74 (step @p541 :rule trans :premises (@p540 @p534)) % 206.50/206.74 (step @p542 :rule refl :args (@t536)) % 206.50/206.74 (step @p543 :rule cong :premises (@p542 @p541) :args ((=> @t536 @t544))) % 206.50/206.74 (assume-push @p588 @t536) % 206.50/206.74 (step @p545 :rule instantiate :premises (@p588) :args (@t370)) % 206.50/206.74 (step-pop @p589 :rule scope :premises (@p545)) % 206.50/206.74 (step @p546 :rule process_scope :premises (@p589) :args (@t544)) % 206.50/206.74 (step @p548 :rule eq_resolve :premises (@p546 @p543)) % 206.50/206.74 (step @p549 :rule implies_elim :premises (@p548)) % 206.50/206.74 (step @p550 :rule reordering :premises (@p549) :args ((or @t514 @t537))) % 206.50/206.74 (step @p551 false :rule chain_m_resolution :premises (@p550 @p533 @p478) :args (false (@list false false) (@list @t536 @t513))) % 206.50/206.74 ) % 206.50/206.74 % SZS output end Proof % 206.50/206.75 % cvc5 exiting %------------------------------------------------------------------------------