%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC313-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:58:50 AM UTC 2026 % Result : Unsatisfiable 1.43s 1.63s % Output : Proof 1.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SWC313-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n012.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 19:40:33 EDT 2026 % 0.08/0.26 % CPUTime : % 0.15/0.36 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.43/1.63 % SZS status Unsatisfiable % 1.43/1.63 % SZS output start Proof % 1.43/1.65 ( % 1.43/1.65 (declare-sort $$unsorted 0) % 1.43/1.65 (declare-const tptp.sk4 $$unsorted) % 1.43/1.65 (declare-const tptp.sk2 $$unsorted) % 1.43/1.65 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.nil $$unsorted) % 1.43/1.65 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.sk1 $$unsorted) % 1.43/1.65 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skac2 $$unsorted) % 1.43/1.65 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.sk3 $$unsorted) % 1.43/1.65 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skac3 $$unsorted) % 1.43/1.65 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.65 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.43/1.65 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.43/1.65 (define @t1 () (@var "U" $$unsorted)) % 1.43/1.65 (define @t2 () (tptp.skaf83 @t1)) % 1.43/1.65 (define @t3 () (@list @t1)) % 1.43/1.65 (define @t4 () (tptp.skaf82 @t1)) % 1.43/1.65 (define @t5 () (tptp.skaf81 @t1)) % 1.43/1.65 (define @t6 () (tptp.skaf80 @t1)) % 1.43/1.65 (define @t7 () (tptp.skaf79 @t1)) % 1.43/1.65 (define @t8 () (tptp.skaf78 @t1)) % 1.43/1.65 (define @t9 () (tptp.skaf77 @t1)) % 1.43/1.65 (define @t10 () (tptp.skaf76 @t1)) % 1.43/1.65 (define @t11 () (tptp.skaf75 @t1)) % 1.43/1.65 (define @t12 () (tptp.skaf74 @t1)) % 1.43/1.65 (define @t13 () (tptp.skaf73 @t1)) % 1.43/1.65 (define @t14 () (tptp.skaf72 @t1)) % 1.43/1.65 (define @t15 () (tptp.skaf71 @t1)) % 1.43/1.65 (define @t16 () (tptp.skaf70 @t1)) % 1.43/1.65 (define @t17 () (tptp.skaf69 @t1)) % 1.43/1.65 (define @t18 () (tptp.skaf68 @t1)) % 1.43/1.65 (define @t19 () (tptp.skaf67 @t1)) % 1.43/1.65 (define @t20 () (tptp.skaf66 @t1)) % 1.43/1.65 (define @t21 () (tptp.skaf65 @t1)) % 1.43/1.65 (define @t22 () (tptp.skaf64 @t1)) % 1.43/1.65 (define @t23 () (tptp.skaf63 @t1)) % 1.43/1.65 (define @t24 () (tptp.skaf62 @t1)) % 1.43/1.65 (define @t25 () (tptp.skaf61 @t1)) % 1.43/1.65 (define @t26 () (tptp.skaf60 @t1)) % 1.43/1.65 (define @t27 () (tptp.skaf59 @t1)) % 1.43/1.65 (define @t28 () (tptp.skaf58 @t1)) % 1.43/1.65 (define @t29 () (tptp.skaf57 @t1)) % 1.43/1.65 (define @t30 () (tptp.skaf56 @t1)) % 1.43/1.65 (define @t31 () (tptp.skaf55 @t1)) % 1.43/1.65 (define @t32 () (tptp.skaf54 @t1)) % 1.43/1.65 (define @t33 () (tptp.skaf53 @t1)) % 1.43/1.65 (define @t34 () (tptp.skaf52 @t1)) % 1.43/1.65 (define @t35 () (tptp.skaf51 @t1)) % 1.43/1.65 (define @t36 () (tptp.skaf50 @t1)) % 1.43/1.65 (define @t37 () (tptp.skaf49 @t1)) % 1.43/1.65 (define @t38 () (tptp.skaf44 @t1)) % 1.43/1.65 (define @t39 () (@var "V" $$unsorted)) % 1.43/1.65 (define @t40 () (@list @t1 @t39)) % 1.43/1.65 (define @t41 () (tptp.skaf47 @t1 @t39)) % 1.43/1.65 (define @t42 () (tptp.skaf46 @t1 @t39)) % 1.43/1.65 (define @t43 () (tptp.skaf45 @t1 @t39)) % 1.43/1.65 (define @t44 () (tptp.skaf42 @t1 @t39)) % 1.43/1.65 (define @t45 () (not (tptp.ssItem @t1))) % 1.43/1.65 (define @t46 () (not (tptp.ssList @t1))) % 1.43/1.65 (define @t47 () (tptp.cons @t1 tptp.nil)) % 1.43/1.65 (define @t48 () (tptp.ssItem @t39)) % 1.43/1.65 (define @t49 () (tptp.duplicatefreeP @t1)) % 1.43/1.65 (define @t50 () (= tptp.nil @t1)) % 1.43/1.65 (define @t51 () (tptp.tl @t1)) % 1.43/1.65 (define @t52 () (tptp.hd @t1)) % 1.43/1.65 (define @t53 () (tptp.segmentP tptp.nil @t1)) % 1.43/1.65 (define @t54 () (not @t50)) % 1.43/1.65 (define @t55 () (tptp.rearsegP tptp.nil @t1)) % 1.43/1.65 (define @t56 () (tptp.frontsegP tptp.nil @t1)) % 1.43/1.65 (define @t57 () (tptp.app @t39 @t1)) % 1.43/1.65 (define @t58 () (not (tptp.ssList @t39))) % 1.43/1.65 (define @t59 () (tptp.cons @t1 @t39)) % 1.43/1.65 (define @t60 () (tptp.cyclefreeP @t1)) % 1.43/1.65 (define @t61 () (tptp.equalelemsP @t1)) % 1.43/1.65 (define @t62 () (tptp.strictorderedP @t1)) % 1.43/1.65 (define @t63 () (tptp.totalorderedP @t1)) % 1.43/1.65 (define @t64 () (tptp.strictorderP @t1)) % 1.43/1.65 (define @t65 () (tptp.totalorderP @t1)) % 1.43/1.65 (define @t66 () (= @t39 @t1)) % 1.43/1.65 (define @t67 () (tptp.neq @t39 @t1)) % 1.43/1.65 (define @t68 () (not @t48)) % 1.43/1.65 (define @t69 () (tptp.leq @t1 @t39)) % 1.43/1.65 (define @t70 () (tptp.lt @t1 @t39)) % 1.43/1.65 (define @t71 () (not @t70)) % 1.43/1.65 (define @t72 () (tptp.lt @t39 @t1)) % 1.43/1.65 (define @t73 () (not (tptp.gt @t1 @t39))) % 1.43/1.65 (define @t74 () (tptp.gt @t39 @t1)) % 1.43/1.65 (define @t75 () (tptp.leq @t39 @t1)) % 1.43/1.65 (define @t76 () (not (tptp.geq @t1 @t39))) % 1.43/1.65 (define @t77 () (tptp.geq @t39 @t1)) % 1.43/1.65 (define @t78 () (not @t69)) % 1.43/1.65 (define @t79 () (tptp.cons @t2 @t4)) % 1.43/1.65 (define @t80 () (or @t46 (= @t79 @t1) @t50)) % 1.43/1.65 (define @t81 () (forall @t3 @t80)) % 1.43/1.65 (define @t82 () (= @t1 @t39)) % 1.43/1.65 (define @t83 () (not @t82)) % 1.43/1.65 (define @t84 () (tptp.cons @t39 @t1)) % 1.43/1.65 (define @t85 () (not (tptp.neq @t1 @t39))) % 1.43/1.65 (define @t86 () (or @t83 @t85 @t58 @t46)) % 1.43/1.65 (define @t87 () (forall @t40 @t86)) % 1.43/1.65 (define @t88 () (tptp.app @t1 @t39)) % 1.43/1.65 (define @t89 () (= @t88 tptp.nil)) % 1.43/1.65 (define @t90 () (not @t89)) % 1.43/1.65 (define @t91 () (= tptp.nil @t39)) % 1.43/1.65 (define @t92 () (tptp.app @t47 @t39)) % 1.43/1.65 (define @t93 () (or @t45 @t58 (= @t92 @t59))) % 1.43/1.65 (define @t94 () (forall @t40 @t93)) % 1.43/1.65 (define @t95 () (tptp.hd @t39)) % 1.43/1.65 (define @t96 () (tptp.strictorderedP @t39)) % 1.43/1.65 (define @t97 () (tptp.strictorderedP @t59)) % 1.43/1.65 (define @t98 () (not @t97)) % 1.43/1.65 (define @t99 () (tptp.totalorderedP @t39)) % 1.43/1.65 (define @t100 () (tptp.totalorderedP @t59)) % 1.43/1.65 (define @t101 () (not @t100)) % 1.43/1.65 (define @t102 () (not (tptp.segmentP @t1 @t39))) % 1.43/1.65 (define @t103 () (not (tptp.rearsegP @t1 @t39))) % 1.43/1.65 (define @t104 () (not (tptp.frontsegP @t1 @t39))) % 1.43/1.65 (define @t105 () (not @t75)) % 1.43/1.65 (define @t106 () (tptp.tl @t39)) % 1.43/1.65 (define @t107 () (tptp.lt @t1 @t95)) % 1.43/1.65 (define @t108 () (tptp.leq @t1 @t95)) % 1.43/1.65 (define @t109 () (@var "W" $$unsorted)) % 1.43/1.65 (define @t110 () (tptp.app @t109 @t1)) % 1.43/1.65 (define @t111 () (not (tptp.ssList @t109))) % 1.43/1.65 (define @t112 () (@list @t1 @t39 @t109)) % 1.43/1.65 (define @t113 () (tptp.app @t1 @t109)) % 1.43/1.65 (define @t114 () (tptp.cons @t39 @t109)) % 1.43/1.65 (define @t115 () (tptp.cons @t109 @t1)) % 1.43/1.65 (define @t116 () (not (tptp.ssItem @t109))) % 1.43/1.65 (define @t117 () (not (tptp.memberP @t1 @t39))) % 1.43/1.65 (define @t118 () (not (= @t88 @t109))) % 1.43/1.65 (define @t119 () (tptp.lt @t1 @t109)) % 1.43/1.65 (define @t120 () (not (tptp.lt @t39 @t109))) % 1.43/1.65 (define @t121 () (tptp.app @t109 @t39)) % 1.43/1.65 (define @t122 () (= @t39 @t109)) % 1.43/1.65 (define @t123 () (= @t1 @t109)) % 1.43/1.65 (define @t124 () (tptp.memberP @t39 @t109)) % 1.43/1.65 (define @t125 () (@var "X" $$unsorted)) % 1.43/1.65 (define @t126 () (not (tptp.ssList @t125))) % 1.43/1.65 (define @t127 () (tptp.cons @t109 @t125)) % 1.43/1.65 (define @t128 () (not (= @t59 @t127))) % 1.43/1.65 (define @t129 () (@list @t1 @t39 @t109 @t125)) % 1.43/1.65 (define @t130 () (not (tptp.frontsegP @t59 @t127))) % 1.43/1.65 (define @t131 () (tptp.app @t1 @t114)) % 1.43/1.65 (define @t132 () (not (tptp.ssItem @t125))) % 1.43/1.65 (define @t133 () (@var "Y" $$unsorted)) % 1.43/1.65 (define @t134 () (not (tptp.ssList @t133))) % 1.43/1.65 (define @t135 () (@list @t1 @t39 @t109 @t125 @t133)) % 1.43/1.65 (define @t136 () (tptp.lt @t39 @t125)) % 1.43/1.65 (define @t137 () (@var "Z" $$unsorted)) % 1.43/1.65 (define @t138 () (not (tptp.ssList @t137))) % 1.43/1.65 (define @t139 () (not (= (tptp.app @t131 (tptp.cons @t125 @t133)) @t137))) % 1.43/1.65 (define @t140 () (@list @t1 @t39 @t109 @t125 @t133 @t137)) % 1.43/1.65 (define @t141 () (tptp.leq @t39 @t125)) % 1.43/1.65 (define @t142 () (tptp.ssList tptp.sk2)) % 1.43/1.65 (define @t143 () (= tptp.sk2 tptp.sk4)) % 1.43/1.65 (define @t144 () (= tptp.sk1 tptp.sk3)) % 1.43/1.65 (define @t145 () (@var "B" $$unsorted)) % 1.43/1.65 (define @t146 () (@var "A" $$unsorted)) % 1.43/1.65 (define @t147 () (tptp.cons @t146 tptp.nil)) % 1.43/1.65 (define @t148 () (tptp.app @t147 @t145)) % 1.43/1.65 (define @t149 () (not (= @t148 tptp.sk4))) % 1.43/1.65 (define @t150 () (tptp.app @t145 @t147)) % 1.43/1.65 (define @t151 () (not (tptp.ssList @t145))) % 1.43/1.65 (define @t152 () (not (tptp.ssItem @t146))) % 1.43/1.65 (define @t153 () (or @t152 @t151 (= @t150 tptp.sk3) @t149)) % 1.43/1.65 (define @t154 () (@list @t146 @t145)) % 1.43/1.65 (define @t155 () (forall @t154 @t153)) % 1.43/1.65 (define @t156 () (= tptp.nil tptp.sk4)) % 1.43/1.65 (define @t157 () (= tptp.nil tptp.sk3)) % 1.43/1.65 (define @t158 () (tptp.neq tptp.sk2 tptp.nil)) % 1.43/1.65 (define @t159 () (= tptp.nil tptp.sk2)) % 1.43/1.65 (define @t160 () (not (= @t150 tptp.sk1))) % 1.43/1.65 (define @t161 () (not (= @t148 tptp.sk2))) % 1.43/1.65 (define @t162 () (or @t159 @t152 @t151 @t161 @t160)) % 1.43/1.65 (define @t163 () (forall @t154 @t162)) % 1.43/1.65 (define @t164 () (= tptp.nil tptp.sk1)) % 1.43/1.65 (define @t165 () (not @t164)) % 1.43/1.65 (define @t166 () (and @t143 @t159)) % 1.43/1.65 (define @t167 () (not @t159)) % 1.43/1.65 (define @t168 () (not (tptp.neq @t39 @t39))) % 1.43/1.65 (define @t169 () (not (= @t39 @t39))) % 1.43/1.65 (define @t170 () (or @t169 @t168 @t58 @t58)) % 1.43/1.65 (define @t171 () (@list @t39)) % 1.43/1.65 (define @t172 () (or @t83 @t83 @t85 @t58 @t46)) % 1.43/1.65 (define @t173 () (forall @t3 @t86)) % 1.43/1.65 (define @t174 () (forall @t171 @t173)) % 1.43/1.65 (define @t175 () (forall (@list @t39 @t1) @t86)) % 1.43/1.65 (define @t176 () (@list tptp.sk2)) % 1.43/1.65 (define @t177 () (not @t142)) % 1.43/1.65 (define @t178 () (tptp.neq tptp.sk2 tptp.sk2)) % 1.43/1.65 (define @t179 () (not @t178)) % 1.43/1.65 (define @t180 () (or @t179 @t177)) % 1.43/1.65 (define @t181 () (@list false false)) % 1.43/1.65 (define @t182 () (not @t158)) % 1.43/1.65 (define @t183 () (and @t159 @t179)) % 1.43/1.65 (define @t184 () (and @t144 @t157)) % 1.43/1.65 (define @t185 () (not @t144)) % 1.43/1.65 (define @t186 () (not (= tptp.sk1 @t150))) % 1.43/1.65 (define @t187 () (not (= tptp.sk2 @t148))) % 1.43/1.65 (define @t188 () (or @t152 @t151 @t187 @t186)) % 1.43/1.65 (define @t189 () (forall @t154 @t188)) % 1.43/1.65 (define @t190 () (or @t159 @t188)) % 1.43/1.65 (define @t191 () (or @t159 @t152 @t151 @t187 @t186)) % 1.43/1.65 (define @t192 () (tptp.skaf82 tptp.sk2)) % 1.43/1.65 (define @t193 () (tptp.skaf83 tptp.sk2)) % 1.43/1.65 (define @t194 () (@list @t193 @t192)) % 1.43/1.65 (define @t195 () (tptp.cons @t193 tptp.nil)) % 1.43/1.65 (define @t196 () (tptp.app @t192 @t195)) % 1.43/1.65 (define @t197 () (= tptp.sk1 @t196)) % 1.43/1.65 (define @t198 () (not @t197)) % 1.43/1.65 (define @t199 () (tptp.app @t195 @t192)) % 1.43/1.65 (define @t200 () (= tptp.sk2 @t199)) % 1.43/1.65 (define @t201 () (not @t200)) % 1.43/1.65 (define @t202 () (tptp.ssList @t192)) % 1.43/1.65 (define @t203 () (not @t202)) % 1.43/1.65 (define @t204 () (tptp.ssItem @t193)) % 1.43/1.65 (define @t205 () (not @t204)) % 1.43/1.65 (define @t206 () (or @t205 @t203 @t201 @t198)) % 1.43/1.65 (define @t207 () (tptp.cons @t193 @t192)) % 1.43/1.65 (define @t208 () (= @t207 @t199)) % 1.43/1.65 (define @t209 () (or @t205 @t203 @t208)) % 1.43/1.65 (define @t210 () (@list false false false)) % 1.43/1.65 (define @t211 () (= tptp.sk2 @t207)) % 1.43/1.65 (define @t212 () (or @t177 @t211 @t159)) % 1.43/1.65 (define @t213 () (and @t211 @t208)) % 1.43/1.65 (define @t214 () (@list false false false false)) % 1.43/1.65 (define @t215 () (= tptp.sk4 @t199)) % 1.43/1.65 (define @t216 () (and @t143 @t211 @t208)) % 1.43/1.65 (define @t217 () (not @t215)) % 1.43/1.65 (define @t218 () (= tptp.sk3 @t196)) % 1.43/1.65 (define @t219 () (or @t205 @t203 @t218 @t217)) % 1.43/1.65 (define @t220 () (not @t218)) % 1.43/1.65 (define @t221 () (and @t144 @t198)) % 1.43/1.65 (assume @p1 (tptp.equalelemsP tptp.nil)) % 1.43/1.65 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 1.43/1.65 (assume @p3 (tptp.strictorderedP tptp.nil)) % 1.43/1.65 (assume @p4 (tptp.totalorderedP tptp.nil)) % 1.43/1.65 (assume @p5 (tptp.strictorderP tptp.nil)) % 1.43/1.65 (assume @p6 (tptp.totalorderP tptp.nil)) % 1.43/1.65 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 1.43/1.65 (assume @p8 (tptp.ssList tptp.nil)) % 1.43/1.65 (assume @p9 (tptp.ssItem tptp.skac3)) % 1.43/1.65 (assume @p10 (tptp.ssItem tptp.skac2)) % 1.43/1.65 (assume @p11 (not (tptp.singletonP tptp.nil))) % 1.43/1.65 (assume @p12 (forall @t3 (tptp.ssItem @t2))) % 1.43/1.65 (assume @p13 (forall @t3 (tptp.ssList @t4))) % 1.43/1.65 (assume @p14 (forall @t3 (tptp.ssList @t5))) % 1.43/1.65 (assume @p15 (forall @t3 (tptp.ssList @t6))) % 1.43/1.65 (assume @p16 (forall @t3 (tptp.ssItem @t7))) % 1.43/1.65 (assume @p17 (forall @t3 (tptp.ssItem @t8))) % 1.43/1.65 (assume @p18 (forall @t3 (tptp.ssList @t9))) % 1.43/1.65 (assume @p19 (forall @t3 (tptp.ssList @t10))) % 1.43/1.65 (assume @p20 (forall @t3 (tptp.ssList @t11))) % 1.43/1.65 (assume @p21 (forall @t3 (tptp.ssItem @t12))) % 1.43/1.65 (assume @p22 (forall @t3 (tptp.ssList @t13))) % 1.43/1.65 (assume @p23 (forall @t3 (tptp.ssList @t14))) % 1.43/1.65 (assume @p24 (forall @t3 (tptp.ssList @t15))) % 1.43/1.65 (assume @p25 (forall @t3 (tptp.ssItem @t16))) % 1.43/1.65 (assume @p26 (forall @t3 (tptp.ssItem @t17))) % 1.43/1.65 (assume @p27 (forall @t3 (tptp.ssList @t18))) % 1.43/1.65 (assume @p28 (forall @t3 (tptp.ssList @t19))) % 1.43/1.65 (assume @p29 (forall @t3 (tptp.ssList @t20))) % 1.43/1.65 (assume @p30 (forall @t3 (tptp.ssItem @t21))) % 1.43/1.65 (assume @p31 (forall @t3 (tptp.ssItem @t22))) % 1.43/1.65 (assume @p32 (forall @t3 (tptp.ssList @t23))) % 1.43/1.65 (assume @p33 (forall @t3 (tptp.ssList @t24))) % 1.43/1.65 (assume @p34 (forall @t3 (tptp.ssList @t25))) % 1.43/1.65 (assume @p35 (forall @t3 (tptp.ssItem @t26))) % 1.43/1.65 (assume @p36 (forall @t3 (tptp.ssItem @t27))) % 1.43/1.65 (assume @p37 (forall @t3 (tptp.ssList @t28))) % 1.43/1.65 (assume @p38 (forall @t3 (tptp.ssList @t29))) % 1.43/1.65 (assume @p39 (forall @t3 (tptp.ssList @t30))) % 1.43/1.65 (assume @p40 (forall @t3 (tptp.ssItem @t31))) % 1.43/1.65 (assume @p41 (forall @t3 (tptp.ssItem @t32))) % 1.43/1.65 (assume @p42 (forall @t3 (tptp.ssList @t33))) % 1.43/1.65 (assume @p43 (forall @t3 (tptp.ssList @t34))) % 1.43/1.65 (assume @p44 (forall @t3 (tptp.ssList @t35))) % 1.43/1.65 (assume @p45 (forall @t3 (tptp.ssItem @t36))) % 1.43/1.65 (assume @p46 (forall @t3 (tptp.ssItem @t37))) % 1.43/1.65 (assume @p47 (forall @t3 (tptp.ssItem @t38))) % 1.43/1.65 (assume @p48 (forall @t40 (tptp.ssList (tptp.skaf48 @t1 @t39)))) % 1.43/1.65 (assume @p49 (forall @t40 (tptp.ssList @t41))) % 1.43/1.65 (assume @p50 (forall @t40 (tptp.ssList @t42))) % 1.43/1.65 (assume @p51 (forall @t40 (tptp.ssList @t43))) % 1.43/1.65 (assume @p52 (forall @t40 (tptp.ssList (tptp.skaf43 @t1 @t39)))) % 1.43/1.65 (assume @p53 (forall @t40 (tptp.ssList @t44))) % 1.43/1.65 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 1.43/1.65 (assume @p55 (forall @t3 (or @t45 (tptp.geq @t1 @t1)))) % 1.43/1.65 (assume @p56 (forall @t3 (or @t46 (tptp.segmentP @t1 tptp.nil)))) % 1.43/1.65 (assume @p57 (forall @t3 (or @t46 (tptp.segmentP @t1 @t1)))) % 1.43/1.65 (assume @p58 (forall @t3 (or @t46 (tptp.rearsegP @t1 tptp.nil)))) % 1.43/1.65 (assume @p59 (forall @t3 (or @t46 (tptp.rearsegP @t1 @t1)))) % 1.43/1.65 (assume @p60 (forall @t3 (or @t46 (tptp.frontsegP @t1 tptp.nil)))) % 1.43/1.65 (assume @p61 (forall @t3 (or @t46 (tptp.frontsegP @t1 @t1)))) % 1.43/1.65 (assume @p62 (forall @t3 (or @t45 (tptp.leq @t1 @t1)))) % 1.43/1.65 (assume @p63 (forall @t3 (or (not (tptp.lt @t1 @t1)) @t45))) % 1.43/1.65 (assume @p64 (forall @t3 (or @t45 (tptp.equalelemsP @t47)))) % 1.43/1.65 (assume @p65 (forall @t3 (or @t45 (tptp.duplicatefreeP @t47)))) % 1.43/1.65 (assume @p66 (forall @t3 (or @t45 (tptp.strictorderedP @t47)))) % 1.43/1.65 (assume @p67 (forall @t3 (or @t45 (tptp.totalorderedP @t47)))) % 1.43/1.65 (assume @p68 (forall @t3 (or @t45 (tptp.strictorderP @t47)))) % 1.43/1.65 (assume @p69 (forall @t3 (or @t45 (tptp.totalorderP @t47)))) % 1.43/1.65 (assume @p70 (forall @t3 (or @t45 (tptp.cyclefreeP @t47)))) % 1.43/1.65 (assume @p71 (forall @t3 (or (not (tptp.memberP tptp.nil @t1)) @t45))) % 1.43/1.65 (assume @p72 (forall @t40 (or @t46 @t49 @t48))) % 1.43/1.65 (assume @p73 (forall @t3 (or @t46 (= (tptp.app @t1 tptp.nil) @t1)))) % 1.43/1.65 (assume @p74 (forall @t3 (or @t46 (= (tptp.app tptp.nil @t1) @t1)))) % 1.43/1.65 (assume @p75 (forall @t3 (or @t46 (tptp.ssList @t51) @t50))) % 1.43/1.65 (assume @p76 (forall @t3 (or @t46 (tptp.ssItem @t52) @t50))) % 1.43/1.65 (assume @p77 (forall @t3 (or @t54 @t46 @t53))) % 1.43/1.65 (assume @p78 (forall @t3 (or (not @t53) @t46 @t50))) % 1.43/1.65 (assume @p79 (forall @t3 (or @t54 @t46 @t55))) % 1.43/1.65 (assume @p80 (forall @t3 (or (not @t55) @t46 @t50))) % 1.43/1.65 (assume @p81 (forall @t3 (or @t54 @t46 @t56))) % 1.43/1.65 (assume @p82 (forall @t3 (or (not @t56) @t46 @t50))) % 1.43/1.65 (assume @p83 (forall @t40 (or @t46 @t58 (tptp.ssList @t57)))) % 1.43/1.65 (assume @p84 (forall @t40 (or @t45 @t58 (tptp.ssList @t59)))) % 1.43/1.65 (assume @p85 (forall @t3 (or @t46 @t60 (tptp.leq @t36 @t37)))) % 1.43/1.65 (assume @p86 (forall @t3 (or @t46 @t60 (tptp.leq @t37 @t36)))) % 1.43/1.65 (assume @p87 (forall @t3 (or (not (= @t7 @t8)) @t46 @t61))) % 1.43/1.65 (assume @p88 (forall @t3 (or (not (tptp.lt @t17 @t16)) @t46 @t62))) % 1.43/1.65 (assume @p89 (forall @t3 (or (not (tptp.leq @t22 @t21)) @t46 @t63))) % 1.43/1.65 (assume @p90 (forall @t3 (or (not (tptp.lt @t26 @t27)) @t46 @t64))) % 1.43/1.65 (assume @p91 (forall @t3 (or (not (tptp.lt @t27 @t26)) @t46 @t64))) % 1.43/1.65 (assume @p92 (forall @t3 (or (not (tptp.leq @t31 @t32)) @t46 @t65))) % 1.43/1.65 (assume @p93 (forall @t3 (or (not (tptp.leq @t32 @t31)) @t46 @t65))) % 1.43/1.65 (assume @p94 (forall @t40 (or @t45 @t58 (= (tptp.tl @t59) @t39)))) % 1.43/1.65 (assume @p95 (forall @t40 (or @t45 @t58 (= (tptp.hd @t59) @t1)))) % 1.43/1.65 (assume @p96 (forall @t40 (or (not (= @t59 tptp.nil)) @t45 @t58))) % 1.43/1.65 (assume @p97 (forall @t40 (or (not (= @t59 @t39)) @t45 @t58))) % 1.43/1.65 (assume @p98 (forall @t40 (or @t46 @t58 @t67 @t66))) % 1.43/1.65 (assume @p99 (forall @t3 (or (not (tptp.singletonP @t1)) @t46 (= (tptp.cons @t38 tptp.nil) @t1)))) % 1.43/1.65 (assume @p100 (forall @t40 (or @t45 @t68 @t67 @t66))) % 1.43/1.65 (assume @p101 (forall @t40 (or @t71 @t68 @t45 @t69))) % 1.43/1.65 (assume @p102 (forall @t3 (or @t46 (= (tptp.cons @t52 @t51) @t1) @t50))) % 1.43/1.65 (assume @p103 (forall @t40 (or @t73 @t68 @t45 @t72))) % 1.43/1.65 (assume @p104 (forall @t40 (or @t71 @t45 @t68 @t74))) % 1.43/1.65 (assume @p105 (forall @t40 (or @t76 @t68 @t45 @t75))) % 1.43/1.65 (assume @p106 (forall @t40 (or @t78 @t45 @t68 @t77))) % 1.43/1.65 (assume @p107 @t81) % 1.43/1.65 (assume @p108 (forall @t40 (or @t73 (not @t74) @t45 @t68))) % 1.43/1.65 (assume @p109 (forall @t40 (or @t83 @t71 @t68 @t45))) % 1.43/1.65 (assume @p110 (forall @t40 (or @t54 @t46 @t68 (tptp.strictorderedP @t84)))) % 1.43/1.65 (assume @p111 (forall @t40 (or @t54 @t46 @t68 (tptp.totalorderedP @t84)))) % 1.43/1.65 (assume @p112 (forall @t40 (or @t71 (not @t72) @t45 @t68))) % 1.43/1.65 (assume @p113 @t87) % 1.43/1.65 (assume @p114 (forall @t40 (or (not (= @t47 @t39)) @t45 @t58 (tptp.singletonP @t39)))) % 1.43/1.65 (assume @p115 (forall @t40 (or @t83 @t85 @t68 @t45))) % 1.43/1.65 (assume @p116 (forall @t40 (or @t90 @t58 @t46 @t50))) % 1.43/1.65 (assume @p117 (forall @t40 (or @t90 @t58 @t46 @t91))) % 1.43/1.65 (assume @p118 @t94) % 1.43/1.65 (assume @p119 (forall @t40 (or @t78 @t68 @t45 @t70 @t82))) % 1.43/1.65 (assume @p120 (forall @t40 (or @t46 @t58 @t91 (= (tptp.hd @t57) @t95)))) % 1.43/1.65 (assume @p121 (forall @t40 (or @t98 @t58 @t45 @t96 @t91))) % 1.43/1.65 (assume @p122 (forall @t40 (or @t101 @t58 @t45 @t99 @t91))) % 1.43/1.65 (assume @p123 (forall @t40 (or @t76 (not @t77) @t45 @t68 @t66))) % 1.43/1.65 (assume @p124 (forall @t40 (or @t102 (not (tptp.segmentP @t39 @t1)) @t46 @t58 @t66))) % 1.43/1.65 (assume @p125 (forall @t40 (or @t103 (not (tptp.rearsegP @t39 @t1)) @t46 @t58 @t66))) % 1.43/1.65 (assume @p126 (forall @t40 (or @t104 (not (tptp.frontsegP @t39 @t1)) @t46 @t58 @t66))) % 1.43/1.65 (assume @p127 (forall @t40 (or @t78 @t105 @t45 @t68 @t66))) % 1.43/1.65 (assume @p128 (forall @t40 (or @t103 @t58 @t46 (= (tptp.app @t42 @t39) @t1)))) % 1.43/1.65 (assume @p129 (forall @t40 (or @t104 @t58 @t46 (= (tptp.app @t39 @t43) @t1)))) % 1.43/1.65 (assume @p130 (forall @t40 (or @t46 @t58 @t91 (= (tptp.tl @t57) (tptp.app @t106 @t1))))) % 1.43/1.65 (assume @p131 (forall @t40 (or @t98 @t58 @t45 @t107 @t91))) % 1.43/1.65 (assume @p132 (forall @t40 (or @t101 @t58 @t45 @t108 @t91))) % 1.43/1.65 (assume @p133 (forall @t112 (or @t103 @t111 @t58 @t46 (tptp.rearsegP @t110 @t39)))) % 1.43/1.65 (assume @p134 (forall @t112 (or @t104 @t111 @t58 @t46 (tptp.frontsegP @t113 @t39)))) % 1.43/1.65 (assume @p135 (forall @t112 (or @t83 @t111 @t68 @t45 (tptp.memberP @t114 @t1)))) % 1.43/1.65 (assume @p136 (forall @t112 (or @t117 @t46 @t116 @t68 (tptp.memberP @t115 @t39)))) % 1.43/1.65 (assume @p137 (forall @t112 (or @t117 @t111 @t46 @t68 (tptp.memberP @t113 @t39)))) % 1.43/1.65 (assume @p138 (forall @t112 (or @t117 @t46 @t111 @t68 (tptp.memberP @t110 @t39)))) % 1.43/1.65 (assume @p139 (forall @t3 (or @t46 @t61 (= (tptp.app @t6 (tptp.cons @t8 (tptp.cons @t7 @t5))) @t1)))) % 1.43/1.65 (assume @p140 (forall @t112 (or @t118 @t46 @t58 @t111 (tptp.rearsegP @t109 @t39)))) % 1.43/1.65 (assume @p141 (forall @t112 (or @t118 @t58 @t46 @t111 (tptp.frontsegP @t109 @t1)))) % 1.43/1.65 (assume @p142 (forall @t40 (or @t54 (not @t91) @t58 @t46 @t89))) % 1.43/1.65 (assume @p143 (forall @t112 (or @t73 (not (tptp.gt @t39 @t109)) @t116 @t68 @t45 (tptp.gt @t1 @t109)))) % 1.43/1.65 (assume @p144 (forall @t112 (or @t78 @t120 @t116 @t68 @t45 @t119))) % 1.43/1.65 (assume @p145 (forall @t112 (or @t76 (not (tptp.geq @t39 @t109)) @t116 @t68 @t45 (tptp.geq @t1 @t109)))) % 1.43/1.65 (assume @p146 (forall @t112 (or @t46 @t58 @t111 (= (tptp.app @t121 @t1) (tptp.app @t109 @t57))))) % 1.43/1.65 (assume @p147 (forall @t112 (or (not (= @t88 @t113)) @t58 @t46 @t111 @t122))) % 1.43/1.65 (assume @p148 (forall @t112 (or (not (= @t88 @t121)) @t46 @t58 @t111 @t123))) % 1.43/1.65 (assume @p149 (forall @t112 (or @t102 (not (tptp.segmentP @t39 @t109)) @t111 @t58 @t46 (tptp.segmentP @t1 @t109)))) % 1.43/1.65 (assume @p150 (forall @t112 (or @t103 (not (tptp.rearsegP @t39 @t109)) @t111 @t58 @t46 (tptp.rearsegP @t1 @t109)))) % 1.43/1.65 (assume @p151 (forall @t112 (or @t104 (not (tptp.frontsegP @t39 @t109)) @t111 @t58 @t46 (tptp.frontsegP @t1 @t109)))) % 1.43/1.65 (assume @p152 (forall @t112 (or @t71 @t120 @t116 @t68 @t45 @t119))) % 1.43/1.65 (assume @p153 (forall @t112 (or @t78 (not (tptp.leq @t39 @t109)) @t116 @t68 @t45 (tptp.leq @t1 @t109)))) % 1.43/1.65 (assume @p154 (forall @t112 (or @t45 @t58 @t111 (= (tptp.cons @t1 (tptp.app @t39 @t109)) (tptp.app @t59 @t109))))) % 1.43/1.65 (assume @p155 (forall @t112 (or (not (tptp.memberP @t88 @t109)) @t58 @t46 @t116 @t124 (tptp.memberP @t1 @t109)))) % 1.43/1.65 (assume @p156 (forall @t40 (or (not @t108) (not @t99) @t58 @t45 @t100 @t91))) % 1.43/1.65 (assume @p157 (forall @t40 (or (not @t107) (not @t96) @t58 @t45 @t97 @t91))) % 1.43/1.65 (assume @p158 (forall @t112 (or (not (tptp.memberP @t59 @t109)) @t58 @t45 @t116 @t124 (= @t109 @t1)))) % 1.43/1.65 (assume @p159 (forall @t3 (or @t46 @t49 (= (tptp.app (tptp.app @t11 (tptp.cons @t12 @t10)) (tptp.cons @t12 @t9)) @t1)))) % 1.43/1.65 (assume @p160 (forall @t3 (or @t46 @t62 (= (tptp.app (tptp.app @t15 (tptp.cons @t17 @t14)) (tptp.cons @t16 @t13)) @t1)))) % 1.43/1.65 (assume @p161 (forall @t3 (or @t46 @t63 (= (tptp.app (tptp.app @t20 (tptp.cons @t22 @t19)) (tptp.cons @t21 @t18)) @t1)))) % 1.43/1.65 (assume @p162 (forall @t3 (or @t46 @t64 (= (tptp.app (tptp.app @t25 (tptp.cons @t27 @t24)) (tptp.cons @t26 @t23)) @t1)))) % 1.43/1.65 (assume @p163 (forall @t3 (or @t46 @t65 (= (tptp.app (tptp.app @t30 (tptp.cons @t32 @t29)) (tptp.cons @t31 @t28)) @t1)))) % 1.43/1.65 (assume @p164 (forall @t3 (or @t46 @t60 (= (tptp.app (tptp.app @t35 (tptp.cons @t37 @t34)) (tptp.cons @t36 @t33)) @t1)))) % 1.43/1.65 (assume @p165 (forall @t40 (or @t102 @t58 @t46 (= (tptp.app (tptp.app @t41 @t39) (tptp.skaf48 @t39 @t1)) @t1)))) % 1.43/1.65 (assume @p166 (forall @t40 (or @t117 @t68 @t46 (= (tptp.app @t44 (tptp.cons @t39 (tptp.skaf43 @t39 @t1))) @t1)))) % 1.43/1.65 (assume @p167 (forall @t129 (or @t128 @t116 @t45 @t126 @t58 @t123))) % 1.43/1.65 (assume @p168 (forall @t129 (or @t128 @t116 @t45 @t126 @t58 (= @t125 @t39)))) % 1.43/1.65 (assume @p169 (forall @t129 (or @t102 @t111 @t126 @t58 @t46 (tptp.segmentP (tptp.app (tptp.app @t125 @t1) @t109) @t39)))) % 1.43/1.65 (assume @p170 (forall @t129 (or (not (= (tptp.app @t88 @t109) @t125)) @t111 @t46 @t58 @t126 (tptp.segmentP @t125 @t39)))) % 1.43/1.65 (assume @p171 (forall @t129 (or @t130 @t126 @t58 @t116 @t45 (tptp.frontsegP @t39 @t125)))) % 1.43/1.65 (assume @p172 (forall @t129 (or (not (= @t131 @t125)) @t111 @t46 @t68 @t126 (tptp.memberP @t125 @t39)))) % 1.43/1.65 (assume @p173 (forall @t129 (or @t130 @t126 @t58 @t116 @t45 @t123))) % 1.43/1.65 (assume @p174 (forall @t40 (or (not (= @t51 @t106)) (not (= @t52 @t95)) @t46 @t58 @t91 @t82 @t50))) % 1.43/1.65 (assume @p175 (forall @t129 (or @t104 (not (= @t109 @t125)) @t58 @t46 @t132 @t116 (tptp.frontsegP @t115 (tptp.cons @t125 @t39))))) % 1.43/1.65 (assume @p176 (forall @t135 (or (not (= (tptp.app @t131 (tptp.cons @t39 @t125)) @t133)) @t126 @t111 @t46 @t68 (not (tptp.duplicatefreeP @t133)) @t134))) % 1.43/1.65 (assume @p177 (forall @t135 (or (not (= (tptp.app @t1 (tptp.cons @t39 @t127)) @t133)) @t126 @t46 @t116 @t68 (not (tptp.equalelemsP @t133)) @t134 @t122))) % 1.43/1.65 (assume @p178 (forall @t140 (or @t139 @t134 @t111 @t46 @t132 @t68 (not (tptp.strictorderedP @t137)) @t138 @t136))) % 1.43/1.65 (assume @p179 (forall @t140 (or @t139 @t134 @t111 @t46 @t132 @t68 (not (tptp.totalorderedP @t137)) @t138 @t141))) % 1.43/1.65 (assume @p180 (forall @t140 (or @t139 @t134 @t111 @t46 @t132 @t68 (not (tptp.strictorderP @t137)) @t138 @t136 (tptp.lt @t125 @t39)))) % 1.43/1.65 (assume @p181 (forall @t140 (or @t139 @t134 @t111 @t46 @t132 @t68 (not (tptp.totalorderP @t137)) @t138 @t141 (tptp.leq @t125 @t39)))) % 1.43/1.65 (assume @p182 (forall @t140 (or @t78 @t105 (not (= (tptp.app (tptp.app @t109 (tptp.cons @t1 @t125)) (tptp.cons @t39 @t133)) @t137)) @t134 @t126 @t111 @t68 @t45 (not (tptp.cyclefreeP @t137)) @t138))) % 1.43/1.65 (assume @p183 (tptp.ssList tptp.sk1)) % 1.43/1.65 (assume @p184 @t142) % 1.43/1.65 (assume @p185 (tptp.ssList tptp.sk3)) % 1.43/1.65 (assume @p186 (tptp.ssList tptp.sk4)) % 1.43/1.65 (assume @p187 @t143) % 1.43/1.65 (assume @p188 @t144) % 1.43/1.65 (assume @p189 @t155) % 1.43/1.65 (assume @p190 (or @t157 (not @t156))) % 1.43/1.65 (assume @p191 (or @t159 @t158)) % 1.43/1.65 (assume @p192 @t163) % 1.43/1.65 (assume @p193 (or @t165 @t158)) % 1.43/1.65 (assume @p194 (forall @t154 (or @t165 @t152 @t151 @t161 @t160))) % 1.43/1.65 (assume-push @p404 @t143) % 1.43/1.65 (assume-push @p405 @t159) % 1.43/1.65 (assume-push @p406 @t143) % 1.43/1.65 (assume-push @p407 @t159) % 1.43/1.65 (step @p199 :rule trans :premises (@p405 @p187)) % 1.43/1.65 (step-pop @p408 :rule scope :premises (@p199)) % 1.43/1.65 (step-pop @p409 :rule scope :premises (@p408)) % 1.43/1.65 (step @p200 :rule process_scope :premises (@p409) :args (@t156)) % 1.43/1.65 (step @p203 :rule and_intro :premises (@p187 @p405)) % 1.43/1.65 (step @p204 :rule modus_ponens :premises (@p203 @p200)) % 1.43/1.65 (step-pop @p410 :rule scope :premises (@p204)) % 1.43/1.65 (step-pop @p411 :rule scope :premises (@p410)) % 1.43/1.65 (step @p205 :rule process_scope :premises (@p411) :args (@t156)) % 1.43/1.65 (step @p208 :rule implies_elim :premises (@p205)) % 1.43/1.65 (step @p209 :rule cnf_and_neg :args (@t166)) % 1.43/1.65 (step @p210 :rule resolution :premises (@p209 @p208) :args (true @t166)) % 1.43/1.65 (step @p211 :rule reordering :premises (@p210) :args ((or @t156 (not @t143) @t167))) % 1.43/1.65 (step @p212 :rule aci_norm :args ((= (or false @t168 @t58 @t58) (or @t168 @t58)))) % 1.43/1.65 (step @p213 :rule refl :args (@t58)) % 1.43/1.65 (step @p214 :rule refl :args (@t168)) % 1.43/1.65 (step @p215 :rule evaluate :args ((not true))) % 1.43/1.65 (step @p216 :rule eq-refl :args (@t39)) % 1.43/1.65 (step @p217 :rule cong :premises (@p216) :args (@t169)) % 1.43/1.65 (step @p218 :rule trans :premises (@p217 @p215)) % 1.43/1.65 (step @p219 :rule nary_cong :premises (@p218 @p214 @p213 @p213) :args (@t170)) % 1.43/1.65 (step @p220 :rule trans :premises (@p219 @p212)) % 1.43/1.65 (step @p221 :rule cong :premises (@p220) :args ((forall @t171 @t170))) % 1.43/1.65 (step @p222 :rule quant-var-elim-eq :args ((= (forall @t3 @t172) @t170))) % 1.43/1.65 (step @p223 :rule aci_norm :args ((= @t86 @t172))) % 1.43/1.65 (step @p224 :rule cong :premises (@p223) :args (@t173)) % 1.43/1.65 (step @p225 :rule trans :premises (@p224 @p222)) % 1.43/1.65 (step @p226 :rule cong :premises (@p225) :args (@t174)) % 1.43/1.65 (step @p227 :rule quant-merge-prenex :args ((= @t174 @t175))) % 1.43/1.65 (step @p228 :rule symm :premises (@p227)) % 1.43/1.65 (step @p229 :rule quant_var_reordering :args ((= @t87 @t175))) % 1.43/1.65 (step @p230 :rule trans :premises (@p229 @p228 @p226)) % 1.43/1.65 (step @p231 :rule trans :premises (@p230 @p221)) % 1.43/1.65 (step @p232 :rule eq_resolve :premises (@p113 @p231)) % 1.43/1.65 (step @p233 :rule instantiate :premises (@p232) :args (@t176)) % 1.43/1.65 (step @p234 :rule cnf_or_pos :args (@t180)) % 1.43/1.65 (step @p235 :rule reordering :premises (@p234) :args ((or @t177 @t179 (not @t180)))) % 1.43/1.65 (step @p236 :rule chain_m_resolution :premises (@p235 @p184 @p233) :args (@t179 @t181 (@list @t142 @t180))) % 1.43/1.65 (step @p237 :rule refl :args (@t182)) % 1.43/1.65 (step @p238 :rule bool-double-not-elim :args (@t178)) % 1.43/1.65 (step @p239 :rule refl :args (@t167)) % 1.43/1.65 (step @p240 :rule nary_cong :premises (@p239 @p238 @p237) :args ((or @t167 (not @t179) @t182))) % 1.43/1.65 (assume-push @p412 @t159) % 1.43/1.65 (assume-push @p413 @t179) % 1.43/1.65 (assume-push @p414 @t179) % 1.43/1.65 (assume-push @p415 @t159) % 1.43/1.65 (step @p245 :rule false_intro :premises (@p236)) % 1.43/1.65 (step @p246 :rule refl :args (tptp.sk2)) % 1.43/1.65 (step @p247 :rule cong :premises (@p246 @p412) :args (@t158)) % 1.43/1.65 (step @p248 :rule trans :premises (@p247 @p245)) % 1.43/1.65 (step @p249 :rule false_elim :premises (@p248)) % 1.43/1.65 (step-pop @p416 :rule scope :premises (@p249)) % 1.43/1.65 (step-pop @p417 :rule scope :premises (@p416)) % 1.43/1.65 (step @p250 :rule process_scope :premises (@p417) :args (@t182)) % 1.43/1.65 (step @p253 :rule and_intro :premises (@p236 @p412)) % 1.43/1.65 (step @p254 :rule modus_ponens :premises (@p253 @p250)) % 1.43/1.65 (step-pop @p418 :rule scope :premises (@p254)) % 1.43/1.65 (step-pop @p419 :rule scope :premises (@p418)) % 1.43/1.65 (step @p255 :rule process_scope :premises (@p419) :args (@t182)) % 1.43/1.65 (step @p258 :rule implies_elim :premises (@p255)) % 1.43/1.65 (step @p259 :rule cnf_and_neg :args (@t183)) % 1.43/1.65 (step @p260 :rule resolution :premises (@p259 @p258) :args (true @t183)) % 1.43/1.65 (step @p261 :rule eq_resolve :premises (@p260 @p240)) % 1.43/1.65 (step @p262 :rule reordering :premises (@p261) :args ((or @t167 @t182 @t178))) % 1.43/1.65 (step @p263 :rule reordering :premises (@p193) :args ((or @t158 @t165))) % 1.43/1.65 (assume-push @p420 @t144) % 1.43/1.65 (assume-push @p421 @t157) % 1.43/1.65 (assume-push @p422 @t144) % 1.43/1.65 (assume-push @p423 @t157) % 1.43/1.65 (step @p268 :rule symm :premises (@p188)) % 1.43/1.65 (step @p269 :rule trans :premises (@p421 @p268)) % 1.43/1.65 (step-pop @p424 :rule scope :premises (@p269)) % 1.43/1.65 (step-pop @p425 :rule scope :premises (@p424)) % 1.43/1.65 (step @p270 :rule process_scope :premises (@p425) :args (@t164)) % 1.43/1.65 (step @p273 :rule and_intro :premises (@p188 @p421)) % 1.43/1.65 (step @p274 :rule modus_ponens :premises (@p273 @p270)) % 1.43/1.65 (step-pop @p426 :rule scope :premises (@p274)) % 1.43/1.65 (step-pop @p427 :rule scope :premises (@p426)) % 1.43/1.65 (step @p275 :rule process_scope :premises (@p427) :args (@t164)) % 1.43/1.65 (step @p278 :rule implies_elim :premises (@p275)) % 1.43/1.65 (step @p279 :rule cnf_and_neg :args (@t184)) % 1.43/1.65 (step @p280 :rule resolution :premises (@p279 @p278) :args (true @t184)) % 1.43/1.65 (step @p281 :rule reordering :premises (@p280) :args ((or @t164 @t185 (not @t157)))) % 1.43/1.65 (step @p282 :rule chain_m_resolution :premises (@p281 @p188 @p263 @p190 @p262 @p236 @p211 @p187) :args (@t167 (@list false true false true true false false) (@list @t144 @t164 @t157 @t158 @t178 @t156 @t143))) % 1.43/1.65 (step @p283 :rule quant-miniscope-or :args ((= (forall @t154 @t190) (or @t159 @t189)))) % 1.43/1.65 (step @p284 :rule aci_norm :args ((= @t191 @t190))) % 1.43/1.65 (step @p285 :rule cong :premises (@p284) :args ((forall @t154 @t191))) % 1.43/1.65 (step @p286 :rule trans :premises (@p285 @p283)) % 1.43/1.65 (step @p287 :rule eq-symm :args (@t150 tptp.sk1)) % 1.43/1.65 (step @p288 :rule cong :premises (@p287) :args (@t160)) % 1.43/1.65 (step @p289 :rule eq-symm :args (@t148 tptp.sk2)) % 1.43/1.65 (step @p290 :rule cong :premises (@p289) :args (@t161)) % 1.43/1.65 (step @p291 :rule refl :args (@t151)) % 1.43/1.65 (step @p292 :rule refl :args (@t152)) % 1.43/1.65 (step @p293 :rule refl :args (@t159)) % 1.43/1.65 (step @p294 :rule nary_cong :premises (@p293 @p292 @p291 @p290 @p288) :args (@t162)) % 1.43/1.65 (step @p295 :rule cong :premises (@p294) :args (@t163)) % 1.43/1.65 (step @p296 :rule trans :premises (@p295 @p286)) % 1.43/1.65 (step @p297 :rule eq_resolve :premises (@p192 @p296)) % 1.43/1.65 (step @p298 :rule chain_m_resolution :premises (@p297 @p282) :args (@t189 (@list true) (@list @t159))) % 1.43/1.65 (assume-push @p428 @t189) % 1.43/1.65 (step @p300 :rule instantiate :premises (@p428) :args (@t194)) % 1.43/1.65 (step-pop @p429 :rule scope :premises (@p300)) % 1.43/1.65 (step @p301 :rule process_scope :premises (@p429) :args (@t206)) % 1.43/1.65 (step @p303 :rule implies_elim :premises (@p301)) % 1.43/1.65 (step @p304 :rule chain_m_resolution :premises (@p303 @p298) :args (@t206 (@list false) (@list @t189))) % 1.43/1.65 (step @p305 :rule eq-symm :args (@t92 @t59)) % 1.43/1.65 (step @p306 :rule refl :args (@t45)) % 1.43/1.65 (step @p307 :rule nary_cong :premises (@p306 @p213 @p305) :args (@t93)) % 1.43/1.65 (step @p308 :rule cong :premises (@p307) :args (@t94)) % 1.43/1.65 (step @p309 :rule eq_resolve :premises (@p118 @p308)) % 1.43/1.65 (step @p310 :rule instantiate :premises (@p309) :args (@t194)) % 1.43/1.65 (step @p311 :rule instantiate :premises (@p13) :args (@t176)) % 1.43/1.65 (step @p312 :rule instantiate :premises (@p12) :args (@t176)) % 1.43/1.65 (step @p313 :rule cnf_or_pos :args (@t209)) % 1.43/1.65 (step @p314 :rule reordering :premises (@p313) :args ((or @t205 @t203 @t208 (not @t209)))) % 1.43/1.65 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p311 @p310) :args (@t208 @t210 (@list @t204 @t202 @t209))) % 1.43/1.65 (step @p316 :rule refl :args (@t50)) % 1.43/1.65 (step @p317 :rule eq-symm :args (@t79 @t1)) % 1.43/1.65 (step @p318 :rule refl :args (@t46)) % 1.43/1.65 (step @p319 :rule nary_cong :premises (@p318 @p317 @p316) :args (@t80)) % 1.43/1.65 (step @p320 :rule cong :premises (@p319) :args (@t81)) % 1.43/1.65 (step @p321 :rule eq_resolve :premises (@p107 @p320)) % 1.43/1.65 (step @p322 :rule instantiate :premises (@p321) :args (@t176)) % 1.43/1.65 (step @p323 :rule cnf_or_pos :args (@t212)) % 1.43/1.65 (step @p324 :rule reordering :premises (@p323) :args ((or @t159 @t177 @t211 (not @t212)))) % 1.43/1.65 (step @p325 :rule chain_m_resolution :premises (@p324 @p282 @p184 @p322) :args (@t211 (@list true false false) (@list @t159 @t142 @t212))) % 1.43/1.65 (assume-push @p430 @t211) % 1.43/1.65 (assume-push @p431 @t208) % 1.43/1.65 (assume-push @p432 @t208) % 1.43/1.65 (assume-push @p433 @t211) % 1.43/1.65 (step @p330 :rule trans :premises (@p430 @p315)) % 1.43/1.65 (step-pop @p434 :rule scope :premises (@p330)) % 1.43/1.65 (step-pop @p435 :rule scope :premises (@p434)) % 1.43/1.65 (step @p331 :rule process_scope :premises (@p435) :args (@t200)) % 1.43/1.65 (step @p334 :rule and_intro :premises (@p315 @p430)) % 1.43/1.65 (step @p335 :rule modus_ponens :premises (@p334 @p331)) % 1.43/1.65 (step-pop @p436 :rule scope :premises (@p335)) % 1.43/1.65 (step-pop @p437 :rule scope :premises (@p436)) % 1.43/1.65 (step @p336 :rule process_scope :premises (@p437) :args (@t200)) % 1.43/1.65 (step @p339 :rule implies_elim :premises (@p336)) % 1.43/1.65 (step @p340 :rule cnf_and_neg :args (@t213)) % 1.43/1.65 (step @p341 :rule resolution :premises (@p340 @p339) :args (true @t213)) % 1.43/1.65 (step @p342 :rule chain_m_resolution :premises (@p341 @p325 @p315) :args (@t200 @t181 (@list @t211 @t208))) % 1.43/1.65 (step @p343 :rule cnf_or_pos :args (@t206)) % 1.43/1.65 (step @p344 :rule reordering :premises (@p343) :args ((or @t205 @t203 @t201 @t198 (not @t206)))) % 1.43/1.65 (step @p345 :rule chain_m_resolution :premises (@p344 @p312 @p311 @p342 @p304) :args (@t198 @t214 (@list @t204 @t202 @t200 @t206))) % 1.43/1.65 (step @p346 :rule eq-symm :args (@t148 tptp.sk4)) % 1.43/1.65 (step @p347 :rule cong :premises (@p346) :args (@t149)) % 1.43/1.65 (step @p348 :rule eq-symm :args (@t150 tptp.sk3)) % 1.43/1.65 (step @p349 :rule nary_cong :premises (@p292 @p291 @p348 @p347) :args (@t153)) % 1.43/1.65 (step @p350 :rule cong :premises (@p349) :args (@t155)) % 1.43/1.65 (step @p351 :rule eq_resolve :premises (@p189 @p350)) % 1.43/1.65 (step @p352 :rule instantiate :premises (@p351) :args (@t194)) % 1.43/1.65 (assume-push @p438 @t143) % 1.43/1.65 (assume-push @p439 @t211) % 1.43/1.65 (assume-push @p440 @t208) % 1.43/1.65 (assume-push @p441 @t208) % 1.43/1.65 (assume-push @p442 @t211) % 1.43/1.65 (assume-push @p443 @t143) % 1.43/1.65 (step @p359 :rule symm :premises (@p187)) % 1.43/1.65 (step @p360 :rule trans :premises (@p359 @p439 @p315)) % 1.43/1.65 (step-pop @p444 :rule scope :premises (@p360)) % 1.43/1.65 (step-pop @p445 :rule scope :premises (@p444)) % 1.43/1.65 (step-pop @p446 :rule scope :premises (@p445)) % 1.43/1.65 (step @p361 :rule process_scope :premises (@p446) :args (@t215)) % 1.43/1.65 (step @p365 :rule and_intro :premises (@p315 @p439 @p187)) % 1.43/1.65 (step @p366 :rule modus_ponens :premises (@p365 @p361)) % 1.43/1.65 (step-pop @p447 :rule scope :premises (@p366)) % 1.43/1.65 (step-pop @p448 :rule scope :premises (@p447)) % 1.43/1.65 (step-pop @p449 :rule scope :premises (@p448)) % 1.43/1.65 (step @p367 :rule process_scope :premises (@p449) :args (@t215)) % 1.43/1.65 (step @p371 :rule implies_elim :premises (@p367)) % 1.43/1.65 (step @p372 :rule cnf_and_neg :args (@t216)) % 1.43/1.65 (step @p373 :rule resolution :premises (@p372 @p371) :args (true @t216)) % 1.43/1.65 (step @p374 :rule chain_m_resolution :premises (@p373 @p187 @p325 @p315) :args (@t215 @t210 (@list @t143 @t211 @t208))) % 1.43/1.65 (step @p375 :rule cnf_or_pos :args (@t219)) % 1.43/1.65 (step @p376 :rule reordering :premises (@p375) :args ((or @t205 @t203 @t218 @t217 (not @t219)))) % 1.43/1.65 (step @p377 :rule chain_m_resolution :premises (@p376 @p312 @p311 @p374 @p352) :args (@t218 @t214 (@list @t204 @t202 @t215 @t219))) % 1.43/1.65 (step @p378 :rule refl :args (@t220)) % 1.43/1.65 (step @p379 :rule bool-double-not-elim :args (@t197)) % 1.43/1.65 (step @p380 :rule refl :args (@t185)) % 1.43/1.65 (step @p381 :rule nary_cong :premises (@p380 @p379 @p378) :args ((or @t185 (not @t198) @t220))) % 1.43/1.65 (assume-push @p450 @t144) % 1.43/1.65 (assume-push @p451 @t198) % 1.43/1.65 (assume-push @p452 @t198) % 1.43/1.65 (assume-push @p453 @t144) % 1.43/1.65 (step @p386 :rule false_intro :premises (@p451)) % 1.43/1.65 (step @p387 :rule refl :args (@t196)) % 1.43/1.65 (step @p268 :rule symm :premises (@p188)) % 1.43/1.65 (step @p388 :rule cong :premises (@p268 @p387) :args (@t218)) % 1.43/1.65 (step @p389 :rule trans :premises (@p388 @p386)) % 1.43/1.65 (step @p390 :rule false_elim :premises (@p389)) % 1.43/1.65 (step-pop @p454 :rule scope :premises (@p390)) % 1.43/1.65 (step-pop @p455 :rule scope :premises (@p454)) % 1.43/1.65 (step @p391 :rule process_scope :premises (@p455) :args (@t220)) % 1.43/1.65 (step @p394 :rule and_intro :premises (@p451 @p188)) % 1.43/1.65 (step @p395 :rule modus_ponens :premises (@p394 @p391)) % 1.43/1.65 (step-pop @p456 :rule scope :premises (@p395)) % 1.43/1.65 (step-pop @p457 :rule scope :premises (@p456)) % 1.43/1.65 (step @p396 :rule process_scope :premises (@p457) :args (@t220)) % 1.43/1.65 (step @p399 :rule implies_elim :premises (@p396)) % 1.43/1.65 (step @p400 :rule cnf_and_neg :args (@t221)) % 1.43/1.65 (step @p401 :rule resolution :premises (@p400 @p399) :args (true @t221)) % 1.43/1.65 (step @p402 :rule eq_resolve :premises (@p401 @p381)) % 1.43/1.65 (step @p403 false :rule chain_m_resolution :premises (@p402 @p377 @p345 @p188) :args (false (@list false true false) (@list @t218 @t197 @t144))) % 1.43/1.65 ) % 1.43/1.66 % SZS output end Proof % 1.43/1.66 % cvc5 exiting %------------------------------------------------------------------------------