%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC029-1 : 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 : n005.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 08:57:46 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.84s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC029-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:10:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.84 % SZS status Unsatisfiable % 0.37/0.84 % SZS output start Proof % 0.37/0.85 ( % 0.37/0.85 (declare-sort $$unsorted 0) % 0.37/0.85 (declare-const tptp.sk6 $$unsorted) % 0.37/0.85 (declare-const tptp.sk5 $$unsorted) % 0.37/0.85 (declare-const tptp.sk4 $$unsorted) % 0.37/0.85 (declare-const tptp.sk2 $$unsorted) % 0.37/0.85 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.nil $$unsorted) % 0.37/0.85 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.sk1 $$unsorted) % 0.37/0.85 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skac2 $$unsorted) % 0.37/0.85 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.sk3 $$unsorted) % 0.37/0.85 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skac3 $$unsorted) % 0.37/0.85 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.85 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.85 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.85 (define @t1 () (tptp.ssList tptp.nil)) % 0.37/0.85 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.85 (define @t3 () (tptp.skaf83 @t2)) % 0.37/0.85 (define @t4 () (@list @t2)) % 0.37/0.85 (define @t5 () (tptp.skaf82 @t2)) % 0.37/0.85 (define @t6 () (tptp.skaf81 @t2)) % 0.37/0.85 (define @t7 () (tptp.skaf80 @t2)) % 0.37/0.85 (define @t8 () (tptp.skaf79 @t2)) % 0.37/0.85 (define @t9 () (tptp.skaf78 @t2)) % 0.37/0.85 (define @t10 () (tptp.skaf77 @t2)) % 0.37/0.85 (define @t11 () (tptp.skaf76 @t2)) % 0.37/0.85 (define @t12 () (tptp.skaf75 @t2)) % 0.37/0.85 (define @t13 () (tptp.skaf74 @t2)) % 0.37/0.85 (define @t14 () (tptp.skaf73 @t2)) % 0.37/0.85 (define @t15 () (tptp.skaf72 @t2)) % 0.37/0.85 (define @t16 () (tptp.skaf71 @t2)) % 0.37/0.85 (define @t17 () (tptp.skaf70 @t2)) % 0.37/0.85 (define @t18 () (tptp.skaf69 @t2)) % 0.37/0.85 (define @t19 () (tptp.skaf68 @t2)) % 0.37/0.85 (define @t20 () (tptp.skaf67 @t2)) % 0.37/0.85 (define @t21 () (tptp.skaf66 @t2)) % 0.37/0.85 (define @t22 () (tptp.skaf65 @t2)) % 0.37/0.85 (define @t23 () (tptp.skaf64 @t2)) % 0.37/0.85 (define @t24 () (tptp.skaf63 @t2)) % 0.37/0.85 (define @t25 () (tptp.skaf62 @t2)) % 0.37/0.85 (define @t26 () (tptp.skaf61 @t2)) % 0.37/0.85 (define @t27 () (tptp.skaf60 @t2)) % 0.37/0.85 (define @t28 () (tptp.skaf59 @t2)) % 0.37/0.85 (define @t29 () (tptp.skaf58 @t2)) % 0.37/0.85 (define @t30 () (tptp.skaf57 @t2)) % 0.37/0.85 (define @t31 () (tptp.skaf56 @t2)) % 0.37/0.85 (define @t32 () (tptp.skaf55 @t2)) % 0.37/0.85 (define @t33 () (tptp.skaf54 @t2)) % 0.37/0.85 (define @t34 () (tptp.skaf53 @t2)) % 0.37/0.85 (define @t35 () (tptp.skaf52 @t2)) % 0.37/0.85 (define @t36 () (tptp.skaf51 @t2)) % 0.37/0.85 (define @t37 () (tptp.skaf50 @t2)) % 0.37/0.85 (define @t38 () (tptp.skaf49 @t2)) % 0.37/0.85 (define @t39 () (tptp.skaf44 @t2)) % 0.37/0.85 (define @t40 () (@var "V" $$unsorted)) % 0.37/0.85 (define @t41 () (@list @t2 @t40)) % 0.37/0.85 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.37/0.85 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.37/0.85 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.37/0.85 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.37/0.85 (define @t46 () (not (tptp.ssItem @t2))) % 0.37/0.85 (define @t47 () (not (tptp.ssList @t2))) % 0.37/0.85 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.37/0.85 (define @t49 () (tptp.ssItem @t40)) % 0.37/0.85 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.37/0.85 (define @t51 () (= tptp.nil @t2)) % 0.37/0.85 (define @t52 () (tptp.tl @t2)) % 0.37/0.85 (define @t53 () (tptp.hd @t2)) % 0.37/0.85 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 0.37/0.85 (define @t55 () (not @t51)) % 0.37/0.85 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 0.37/0.85 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 0.37/0.85 (define @t58 () (tptp.app @t40 @t2)) % 0.37/0.85 (define @t59 () (not (tptp.ssList @t40))) % 0.37/0.85 (define @t60 () (tptp.cons @t2 @t40)) % 0.37/0.85 (define @t61 () (tptp.cyclefreeP @t2)) % 0.37/0.85 (define @t62 () (tptp.equalelemsP @t2)) % 0.37/0.85 (define @t63 () (tptp.strictorderedP @t2)) % 0.37/0.85 (define @t64 () (tptp.totalorderedP @t2)) % 0.37/0.85 (define @t65 () (tptp.strictorderP @t2)) % 0.37/0.85 (define @t66 () (tptp.totalorderP @t2)) % 0.37/0.85 (define @t67 () (not (= @t60 tptp.nil))) % 0.37/0.85 (define @t68 () (or @t67 @t46 @t59)) % 0.37/0.85 (define @t69 () (forall @t41 @t68)) % 0.37/0.85 (define @t70 () (= @t40 @t2)) % 0.37/0.85 (define @t71 () (tptp.neq @t40 @t2)) % 0.37/0.85 (define @t72 () (or @t47 @t59 @t71 @t70)) % 0.37/0.85 (define @t73 () (forall @t41 @t72)) % 0.37/0.85 (define @t74 () (not @t49)) % 0.37/0.85 (define @t75 () (tptp.leq @t2 @t40)) % 0.37/0.85 (define @t76 () (tptp.lt @t2 @t40)) % 0.37/0.85 (define @t77 () (not @t76)) % 0.37/0.85 (define @t78 () (tptp.lt @t40 @t2)) % 0.37/0.85 (define @t79 () (not (tptp.gt @t2 @t40))) % 0.37/0.85 (define @t80 () (tptp.gt @t40 @t2)) % 0.37/0.85 (define @t81 () (tptp.leq @t40 @t2)) % 0.37/0.85 (define @t82 () (not (tptp.geq @t2 @t40))) % 0.37/0.85 (define @t83 () (tptp.geq @t40 @t2)) % 0.37/0.85 (define @t84 () (not @t75)) % 0.37/0.85 (define @t85 () (= @t2 @t40)) % 0.37/0.85 (define @t86 () (not @t85)) % 0.37/0.85 (define @t87 () (tptp.cons @t40 @t2)) % 0.37/0.85 (define @t88 () (not (tptp.neq @t2 @t40))) % 0.37/0.85 (define @t89 () (tptp.app @t2 @t40)) % 0.37/0.85 (define @t90 () (= @t89 tptp.nil)) % 0.37/0.85 (define @t91 () (not @t90)) % 0.37/0.85 (define @t92 () (= tptp.nil @t40)) % 0.37/0.85 (define @t93 () (or @t91 @t59 @t47 @t92)) % 0.37/0.85 (define @t94 () (forall @t41 @t93)) % 0.37/0.85 (define @t95 () (tptp.hd @t40)) % 0.37/0.85 (define @t96 () (tptp.strictorderedP @t40)) % 0.37/0.85 (define @t97 () (tptp.strictorderedP @t60)) % 0.37/0.85 (define @t98 () (not @t97)) % 0.37/0.85 (define @t99 () (tptp.totalorderedP @t40)) % 0.37/0.85 (define @t100 () (tptp.totalorderedP @t60)) % 0.37/0.85 (define @t101 () (not @t100)) % 0.37/0.85 (define @t102 () (not (tptp.segmentP @t2 @t40))) % 0.37/0.85 (define @t103 () (not (tptp.rearsegP @t2 @t40))) % 0.37/0.85 (define @t104 () (not (tptp.frontsegP @t2 @t40))) % 0.37/0.85 (define @t105 () (not @t81)) % 0.37/0.85 (define @t106 () (tptp.tl @t40)) % 0.37/0.85 (define @t107 () (tptp.lt @t2 @t95)) % 0.37/0.85 (define @t108 () (tptp.leq @t2 @t95)) % 0.37/0.85 (define @t109 () (@var "W" $$unsorted)) % 0.37/0.85 (define @t110 () (tptp.app @t109 @t2)) % 0.37/0.85 (define @t111 () (not (tptp.ssList @t109))) % 0.37/0.85 (define @t112 () (@list @t2 @t40 @t109)) % 0.37/0.85 (define @t113 () (tptp.app @t2 @t109)) % 0.37/0.85 (define @t114 () (tptp.cons @t40 @t109)) % 0.37/0.85 (define @t115 () (tptp.cons @t109 @t2)) % 0.37/0.85 (define @t116 () (not (tptp.ssItem @t109))) % 0.37/0.85 (define @t117 () (not (tptp.memberP @t2 @t40))) % 0.37/0.85 (define @t118 () (not (= @t89 @t109))) % 0.37/0.85 (define @t119 () (not @t92)) % 0.37/0.85 (define @t120 () (or @t55 @t119 @t59 @t47 @t90)) % 0.37/0.85 (define @t121 () (forall @t41 @t120)) % 0.37/0.85 (define @t122 () (tptp.lt @t2 @t109)) % 0.37/0.85 (define @t123 () (not (tptp.lt @t40 @t109))) % 0.37/0.85 (define @t124 () (tptp.app @t109 @t40)) % 0.37/0.85 (define @t125 () (= @t40 @t109)) % 0.37/0.85 (define @t126 () (= @t2 @t109)) % 0.37/0.85 (define @t127 () (tptp.memberP @t40 @t109)) % 0.37/0.85 (define @t128 () (@var "X" $$unsorted)) % 0.37/0.85 (define @t129 () (not (tptp.ssList @t128))) % 0.37/0.85 (define @t130 () (tptp.cons @t109 @t128)) % 0.37/0.85 (define @t131 () (not (= @t60 @t130))) % 0.37/0.85 (define @t132 () (@list @t2 @t40 @t109 @t128)) % 0.37/0.85 (define @t133 () (not (tptp.frontsegP @t60 @t130))) % 0.37/0.85 (define @t134 () (tptp.app @t2 @t114)) % 0.37/0.85 (define @t135 () (not (tptp.ssItem @t128))) % 0.37/0.85 (define @t136 () (@var "Y" $$unsorted)) % 0.37/0.85 (define @t137 () (not (tptp.ssList @t136))) % 0.37/0.85 (define @t138 () (@list @t2 @t40 @t109 @t128 @t136)) % 0.37/0.85 (define @t139 () (tptp.lt @t40 @t128)) % 0.37/0.85 (define @t140 () (@var "Z" $$unsorted)) % 0.37/0.85 (define @t141 () (not (tptp.ssList @t140))) % 0.37/0.85 (define @t142 () (not (= (tptp.app @t134 (tptp.cons @t128 @t136)) @t140))) % 0.37/0.85 (define @t143 () (@list @t2 @t40 @t109 @t128 @t136 @t140)) % 0.37/0.85 (define @t144 () (tptp.leq @t40 @t128)) % 0.37/0.85 (define @t145 () (tptp.ssList tptp.sk4)) % 0.37/0.85 (define @t146 () (= tptp.sk2 tptp.sk4)) % 0.37/0.85 (define @t147 () (= tptp.sk1 tptp.sk3)) % 0.37/0.85 (define @t148 () (= tptp.nil tptp.sk4)) % 0.37/0.85 (define @t149 () (not @t148)) % 0.37/0.85 (define @t150 () (= tptp.nil tptp.sk3)) % 0.37/0.85 (define @t151 () (tptp.neq tptp.sk4 tptp.nil)) % 0.37/0.85 (define @t152 () (not @t151)) % 0.37/0.85 (define @t153 () (tptp.ssItem tptp.sk5)) % 0.37/0.85 (define @t154 () (tptp.ssList tptp.sk6)) % 0.37/0.85 (define @t155 () (tptp.cons tptp.sk5 tptp.nil)) % 0.37/0.85 (define @t156 () (tptp.app tptp.sk6 @t155)) % 0.37/0.85 (define @t157 () (or (= @t156 tptp.sk3) @t152)) % 0.37/0.85 (define @t158 () (= tptp.nil tptp.sk1)) % 0.37/0.85 (define @t159 () (= tptp.nil tptp.sk2)) % 0.37/0.85 (define @t160 () (not @t159)) % 0.37/0.85 (define @t161 () (not @t158)) % 0.37/0.85 (define @t162 () (= tptp.nil (tptp.app tptp.nil tptp.nil))) % 0.37/0.85 (define @t163 () (not @t1)) % 0.37/0.85 (define @t164 () (or @t163 @t162)) % 0.37/0.85 (define @t165 () (not (= tptp.nil tptp.nil))) % 0.37/0.85 (define @t166 () (or @t165 @t163 @t162)) % 0.37/0.85 (define @t167 () (= tptp.nil (tptp.app tptp.nil @t40))) % 0.37/0.85 (define @t168 () (@list @t40)) % 0.37/0.85 (define @t169 () (or @t119 @t119 @t59 @t167)) % 0.37/0.85 (define @t170 () (or @t119 @t59 @t167)) % 0.37/0.85 (define @t171 () (forall @t168 @t170)) % 0.37/0.85 (define @t172 () (or @t163 @t171)) % 0.37/0.85 (define @t173 () (or @t163 @t170)) % 0.37/0.85 (define @t174 () (or @t119 @t59 @t163 @t167)) % 0.37/0.85 (define @t175 () (or @t165 @t119 @t59 @t163 @t167)) % 0.37/0.85 (define @t176 () (= tptp.nil @t89)) % 0.37/0.85 (define @t177 () (or @t55 @t55 @t119 @t59 @t47 @t176)) % 0.37/0.85 (define @t178 () (or @t55 @t119 @t59 @t47 @t176)) % 0.37/0.85 (define @t179 () (forall @t4 @t178)) % 0.37/0.85 (define @t180 () (forall @t168 @t179)) % 0.37/0.85 (define @t181 () (forall (@list @t40 @t2) @t178)) % 0.37/0.85 (define @t182 () (@list false)) % 0.37/0.85 (define @t183 () (not @t150)) % 0.37/0.85 (define @t184 () (not @t147)) % 0.37/0.85 (define @t185 () (and @t147 @t161)) % 0.37/0.85 (define @t186 () (and @t146 @t159)) % 0.37/0.85 (define @t187 () (not @t146)) % 0.37/0.85 (define @t188 () (and @t146 @t160)) % 0.37/0.85 (define @t189 () (not @t145)) % 0.37/0.85 (define @t190 () (or @t163 @t189 @t151 @t148)) % 0.37/0.85 (define @t191 () (= tptp.sk3 @t156)) % 0.37/0.85 (define @t192 () (@list @t151)) % 0.37/0.85 (define @t193 () (@list tptp.sk5 tptp.nil)) % 0.37/0.85 (define @t194 () (tptp.ssList @t155)) % 0.37/0.85 (define @t195 () (not @t153)) % 0.37/0.85 (define @t196 () (or @t195 @t163 @t194)) % 0.37/0.85 (define @t197 () (@list false false false)) % 0.37/0.85 (define @t198 () (= tptp.nil @t155)) % 0.37/0.85 (define @t199 () (not @t198)) % 0.37/0.85 (define @t200 () (or @t199 @t195 @t163)) % 0.37/0.85 (define @t201 () (not @t154)) % 0.37/0.85 (define @t202 () (not @t194)) % 0.37/0.85 (define @t203 () (= tptp.nil @t156)) % 0.37/0.85 (define @t204 () (not @t203)) % 0.37/0.85 (define @t205 () (or @t204 @t202 @t201 @t198)) % 0.37/0.85 (define @t206 () (not @t191)) % 0.37/0.85 (define @t207 () (not @t162)) % 0.37/0.85 (define @t208 () (and @t204 @t191 @t147 @t158 @t162)) % 0.37/0.85 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.37/0.85 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.85 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.37/0.85 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.37/0.85 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.37/0.85 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.37/0.85 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.37/0.85 (assume @p8 @t1) % 0.37/0.85 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.37/0.85 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.37/0.85 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.37/0.85 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.37/0.85 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.37/0.85 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.37/0.85 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.37/0.85 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.37/0.85 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.37/0.85 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.37/0.85 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.37/0.85 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.37/0.85 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.37/0.85 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.37/0.85 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.37/0.85 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.37/0.85 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.37/0.85 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.37/0.85 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.37/0.85 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.37/0.85 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.37/0.85 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.37/0.85 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.37/0.85 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.37/0.85 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.37/0.85 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.37/0.85 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.37/0.85 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.37/0.85 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.37/0.85 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.37/0.85 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.37/0.85 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.37/0.85 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.37/0.85 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.37/0.85 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.37/0.85 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.37/0.85 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.37/0.85 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.37/0.85 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.37/0.85 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.37/0.85 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.37/0.85 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.37/0.85 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.37/0.85 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.37/0.85 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.37/0.85 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.37/0.85 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.37/0.85 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.85 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.37/0.85 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.85 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.37/0.85 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.85 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.37/0.85 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.37/0.85 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.37/0.85 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.37/0.85 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.37/0.85 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.37/0.85 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.37/0.85 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.37/0.85 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.37/0.85 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.37/0.85 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.37/0.85 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.37/0.85 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.85 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.85 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 0.37/0.85 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 0.37/0.85 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 0.37/0.85 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 0.37/0.85 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 0.37/0.85 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 0.37/0.85 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 0.37/0.85 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 0.37/0.85 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 0.37/0.85 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 0.37/0.85 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 0.37/0.85 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 0.37/0.85 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 0.37/0.85 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 0.37/0.85 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 0.37/0.85 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 0.37/0.85 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 0.37/0.85 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 0.37/0.85 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 0.37/0.85 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 0.37/0.85 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 0.37/0.85 (assume @p96 @t69) % 0.37/0.85 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 0.37/0.85 (assume @p98 @t73) % 0.37/0.85 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.37/0.85 (assume @p100 (forall @t41 (or @t46 @t74 @t71 @t70))) % 0.37/0.85 (assume @p101 (forall @t41 (or @t77 @t74 @t46 @t75))) % 0.37/0.85 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 0.37/0.85 (assume @p103 (forall @t41 (or @t79 @t74 @t46 @t78))) % 0.37/0.85 (assume @p104 (forall @t41 (or @t77 @t46 @t74 @t80))) % 0.37/0.85 (assume @p105 (forall @t41 (or @t82 @t74 @t46 @t81))) % 0.37/0.85 (assume @p106 (forall @t41 (or @t84 @t46 @t74 @t83))) % 0.37/0.85 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 0.37/0.85 (assume @p108 (forall @t41 (or @t79 (not @t80) @t46 @t74))) % 0.37/0.85 (assume @p109 (forall @t41 (or @t86 @t77 @t74 @t46))) % 0.37/0.85 (assume @p110 (forall @t41 (or @t55 @t47 @t74 (tptp.strictorderedP @t87)))) % 0.37/0.85 (assume @p111 (forall @t41 (or @t55 @t47 @t74 (tptp.totalorderedP @t87)))) % 0.37/0.85 (assume @p112 (forall @t41 (or @t77 (not @t78) @t46 @t74))) % 0.37/0.85 (assume @p113 (forall @t41 (or @t86 @t88 @t59 @t47))) % 0.37/0.85 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 0.37/0.85 (assume @p115 (forall @t41 (or @t86 @t88 @t74 @t46))) % 0.37/0.85 (assume @p116 (forall @t41 (or @t91 @t59 @t47 @t51))) % 0.37/0.85 (assume @p117 @t94) % 0.37/0.85 (assume @p118 (forall @t41 (or @t46 @t59 (= (tptp.app @t48 @t40) @t60)))) % 0.37/0.85 (assume @p119 (forall @t41 (or @t84 @t74 @t46 @t76 @t85))) % 0.37/0.85 (assume @p120 (forall @t41 (or @t47 @t59 @t92 (= (tptp.hd @t58) @t95)))) % 0.37/0.85 (assume @p121 (forall @t41 (or @t98 @t59 @t46 @t96 @t92))) % 0.37/0.85 (assume @p122 (forall @t41 (or @t101 @t59 @t46 @t99 @t92))) % 0.37/0.85 (assume @p123 (forall @t41 (or @t82 (not @t83) @t46 @t74 @t70))) % 0.37/0.85 (assume @p124 (forall @t41 (or @t102 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t70))) % 0.37/0.85 (assume @p125 (forall @t41 (or @t103 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t70))) % 0.37/0.85 (assume @p126 (forall @t41 (or @t104 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t70))) % 0.37/0.85 (assume @p127 (forall @t41 (or @t84 @t105 @t46 @t74 @t70))) % 0.37/0.85 (assume @p128 (forall @t41 (or @t103 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.37/0.85 (assume @p129 (forall @t41 (or @t104 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.37/0.85 (assume @p130 (forall @t41 (or @t47 @t59 @t92 (= (tptp.tl @t58) (tptp.app @t106 @t2))))) % 0.37/0.85 (assume @p131 (forall @t41 (or @t98 @t59 @t46 @t107 @t92))) % 0.37/0.85 (assume @p132 (forall @t41 (or @t101 @t59 @t46 @t108 @t92))) % 0.37/0.85 (assume @p133 (forall @t112 (or @t103 @t111 @t59 @t47 (tptp.rearsegP @t110 @t40)))) % 0.37/0.85 (assume @p134 (forall @t112 (or @t104 @t111 @t59 @t47 (tptp.frontsegP @t113 @t40)))) % 0.37/0.85 (assume @p135 (forall @t112 (or @t86 @t111 @t74 @t46 (tptp.memberP @t114 @t2)))) % 0.37/0.85 (assume @p136 (forall @t112 (or @t117 @t47 @t116 @t74 (tptp.memberP @t115 @t40)))) % 0.37/0.85 (assume @p137 (forall @t112 (or @t117 @t111 @t47 @t74 (tptp.memberP @t113 @t40)))) % 0.37/0.85 (assume @p138 (forall @t112 (or @t117 @t47 @t111 @t74 (tptp.memberP @t110 @t40)))) % 0.37/0.85 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.37/0.85 (assume @p140 (forall @t112 (or @t118 @t47 @t59 @t111 (tptp.rearsegP @t109 @t40)))) % 0.37/0.85 (assume @p141 (forall @t112 (or @t118 @t59 @t47 @t111 (tptp.frontsegP @t109 @t2)))) % 0.37/0.85 (assume @p142 @t121) % 0.37/0.85 (assume @p143 (forall @t112 (or @t79 (not (tptp.gt @t40 @t109)) @t116 @t74 @t46 (tptp.gt @t2 @t109)))) % 0.37/0.85 (assume @p144 (forall @t112 (or @t84 @t123 @t116 @t74 @t46 @t122))) % 0.37/0.85 (assume @p145 (forall @t112 (or @t82 (not (tptp.geq @t40 @t109)) @t116 @t74 @t46 (tptp.geq @t2 @t109)))) % 0.37/0.85 (assume @p146 (forall @t112 (or @t47 @t59 @t111 (= (tptp.app @t124 @t2) (tptp.app @t109 @t58))))) % 0.37/0.85 (assume @p147 (forall @t112 (or (not (= @t89 @t113)) @t59 @t47 @t111 @t125))) % 0.37/0.85 (assume @p148 (forall @t112 (or (not (= @t89 @t124)) @t47 @t59 @t111 @t126))) % 0.37/0.85 (assume @p149 (forall @t112 (or @t102 (not (tptp.segmentP @t40 @t109)) @t111 @t59 @t47 (tptp.segmentP @t2 @t109)))) % 0.37/0.85 (assume @p150 (forall @t112 (or @t103 (not (tptp.rearsegP @t40 @t109)) @t111 @t59 @t47 (tptp.rearsegP @t2 @t109)))) % 0.37/0.85 (assume @p151 (forall @t112 (or @t104 (not (tptp.frontsegP @t40 @t109)) @t111 @t59 @t47 (tptp.frontsegP @t2 @t109)))) % 0.37/0.85 (assume @p152 (forall @t112 (or @t77 @t123 @t116 @t74 @t46 @t122))) % 0.37/0.85 (assume @p153 (forall @t112 (or @t84 (not (tptp.leq @t40 @t109)) @t116 @t74 @t46 (tptp.leq @t2 @t109)))) % 0.37/0.85 (assume @p154 (forall @t112 (or @t46 @t59 @t111 (= (tptp.cons @t2 (tptp.app @t40 @t109)) (tptp.app @t60 @t109))))) % 0.37/0.85 (assume @p155 (forall @t112 (or (not (tptp.memberP @t89 @t109)) @t59 @t47 @t116 @t127 (tptp.memberP @t2 @t109)))) % 0.37/0.85 (assume @p156 (forall @t41 (or (not @t108) (not @t99) @t59 @t46 @t100 @t92))) % 0.37/0.85 (assume @p157 (forall @t41 (or (not @t107) (not @t96) @t59 @t46 @t97 @t92))) % 0.37/0.85 (assume @p158 (forall @t112 (or (not (tptp.memberP @t60 @t109)) @t59 @t46 @t116 @t127 (= @t109 @t2)))) % 0.37/0.85 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.37/0.85 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.37/0.85 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.37/0.85 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.37/0.85 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.37/0.85 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.37/0.85 (assume @p165 (forall @t41 (or @t102 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.37/0.85 (assume @p166 (forall @t41 (or @t117 @t74 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.37/0.85 (assume @p167 (forall @t132 (or @t131 @t116 @t46 @t129 @t59 @t126))) % 0.37/0.85 (assume @p168 (forall @t132 (or @t131 @t116 @t46 @t129 @t59 (= @t128 @t40)))) % 0.37/0.85 (assume @p169 (forall @t132 (or @t102 @t111 @t129 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t128 @t2) @t109) @t40)))) % 0.37/0.85 (assume @p170 (forall @t132 (or (not (= (tptp.app @t89 @t109) @t128)) @t111 @t47 @t59 @t129 (tptp.segmentP @t128 @t40)))) % 0.37/0.85 (assume @p171 (forall @t132 (or @t133 @t129 @t59 @t116 @t46 (tptp.frontsegP @t40 @t128)))) % 0.37/0.85 (assume @p172 (forall @t132 (or (not (= @t134 @t128)) @t111 @t47 @t74 @t129 (tptp.memberP @t128 @t40)))) % 0.37/0.85 (assume @p173 (forall @t132 (or @t133 @t129 @t59 @t116 @t46 @t126))) % 0.37/0.85 (assume @p174 (forall @t41 (or (not (= @t52 @t106)) (not (= @t53 @t95)) @t47 @t59 @t92 @t85 @t51))) % 0.37/0.85 (assume @p175 (forall @t132 (or @t104 (not (= @t109 @t128)) @t59 @t47 @t135 @t116 (tptp.frontsegP @t115 (tptp.cons @t128 @t40))))) % 0.37/0.85 (assume @p176 (forall @t138 (or (not (= (tptp.app @t134 (tptp.cons @t40 @t128)) @t136)) @t129 @t111 @t47 @t74 (not (tptp.duplicatefreeP @t136)) @t137))) % 0.37/0.85 (assume @p177 (forall @t138 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t130)) @t136)) @t129 @t47 @t116 @t74 (not (tptp.equalelemsP @t136)) @t137 @t125))) % 0.37/0.85 (assume @p178 (forall @t143 (or @t142 @t137 @t111 @t47 @t135 @t74 (not (tptp.strictorderedP @t140)) @t141 @t139))) % 0.37/0.85 (assume @p179 (forall @t143 (or @t142 @t137 @t111 @t47 @t135 @t74 (not (tptp.totalorderedP @t140)) @t141 @t144))) % 0.37/0.85 (assume @p180 (forall @t143 (or @t142 @t137 @t111 @t47 @t135 @t74 (not (tptp.strictorderP @t140)) @t141 @t139 (tptp.lt @t128 @t40)))) % 0.37/0.85 (assume @p181 (forall @t143 (or @t142 @t137 @t111 @t47 @t135 @t74 (not (tptp.totalorderP @t140)) @t141 @t144 (tptp.leq @t128 @t40)))) % 0.37/0.85 (assume @p182 (forall @t143 (or @t84 @t105 (not (= (tptp.app (tptp.app @t109 (tptp.cons @t2 @t128)) (tptp.cons @t40 @t136)) @t140)) @t137 @t129 @t111 @t74 @t46 (not (tptp.cyclefreeP @t140)) @t141))) % 0.37/0.85 (assume @p183 (tptp.ssList tptp.sk1)) % 0.37/0.85 (assume @p184 (tptp.ssList tptp.sk2)) % 0.37/0.85 (assume @p185 (tptp.ssList tptp.sk3)) % 0.37/0.85 (assume @p186 @t145) % 0.37/0.85 (assume @p187 @t146) % 0.37/0.85 (assume @p188 @t147) % 0.37/0.85 (assume @p189 (or @t150 @t149)) % 0.37/0.85 (assume @p190 (or @t153 @t152)) % 0.37/0.85 (assume @p191 (or @t154 @t152)) % 0.37/0.85 (assume @p192 (or (= (tptp.app @t155 tptp.sk6) tptp.sk4) @t152)) % 0.37/0.85 (assume @p193 @t157) % 0.37/0.85 (assume @p194 (or @t159 @t158)) % 0.37/0.85 (assume @p195 (or @t159 @t160)) % 0.37/0.85 (assume @p196 (or @t161 @t158)) % 0.37/0.85 (assume @p197 (or @t161 @t160)) % 0.37/0.85 (step @p198 :rule aci_norm :args ((= (or @t163 @t164) @t164))) % 0.37/0.85 (step @p199 :rule aci_norm :args ((= (or false @t163 @t162) @t164))) % 0.37/0.85 (step @p200 :rule refl :args (@t162)) % 0.37/0.85 (step @p201 :rule refl :args (@t163)) % 0.37/0.85 (step @p202 :rule evaluate :args ((not true))) % 0.37/0.85 (step @p203 :rule eq-refl :args (tptp.nil)) % 0.37/0.85 (step @p204 :rule cong :premises (@p203) :args (@t165)) % 0.37/0.85 (step @p205 :rule trans :premises (@p204 @p202)) % 0.37/0.85 (step @p206 :rule nary_cong :premises (@p205 @p201 @p200) :args (@t166)) % 0.37/0.85 (step @p207 :rule trans :premises (@p206 @p199)) % 0.37/0.85 (step @p208 :rule quant-var-elim-eq :args ((= (forall @t168 (or (not (= @t40 tptp.nil)) @t119 @t59 @t167)) @t166))) % 0.37/0.85 (step @p209 :rule refl :args (@t167)) % 0.37/0.85 (step @p210 :rule refl :args (@t59)) % 0.37/0.85 (step @p211 :rule refl :args (@t119)) % 0.37/0.85 (step @p212 :rule eq-symm :args (tptp.nil @t40)) % 0.37/0.85 (step @p213 :rule cong :premises (@p212) :args (@t119)) % 0.37/0.85 (step @p214 :rule nary_cong :premises (@p213 @p211 @p210 @p209) :args (@t169)) % 0.37/0.85 (step @p215 :rule aci_norm :args ((= @t170 @t169))) % 0.37/0.85 (step @p216 :rule trans :premises (@p215 @p214)) % 0.37/0.85 (step @p217 :rule cong :premises (@p216) :args (@t171)) % 0.37/0.85 (step @p218 :rule trans :premises (@p217 @p208)) % 0.37/0.85 (step @p219 :rule trans :premises (@p218 @p207)) % 0.37/0.85 (step @p220 :rule nary_cong :premises (@p201 @p219) :args (@t172)) % 0.37/0.85 (step @p221 :rule trans :premises (@p220 @p198)) % 0.37/0.85 (step @p222 :rule quant-miniscope-or :args ((= (forall @t168 @t173) @t172))) % 0.37/0.85 (step @p223 :rule aci_norm :args ((= @t174 @t173))) % 0.37/0.85 (step @p224 :rule cong :premises (@p223) :args ((forall @t168 @t174))) % 0.37/0.85 (step @p225 :rule trans :premises (@p224 @p222)) % 0.37/0.85 (step @p226 :rule trans :premises (@p225 @p221)) % 0.37/0.85 (step @p227 :rule aci_norm :args ((= (or false @t119 @t59 @t163 @t167) @t174))) % 0.37/0.85 (step @p228 :rule refl :args (@t167)) % 0.37/0.85 (step @p229 :rule refl :args (@t59)) % 0.37/0.85 (step @p230 :rule refl :args (@t119)) % 0.37/0.85 (step @p231 :rule nary_cong :premises (@p205 @p230 @p229 @p201 @p228) :args (@t175)) % 0.37/0.85 (step @p232 :rule trans :premises (@p231 @p227)) % 0.37/0.85 (step @p233 :rule cong :premises (@p232) :args ((forall @t168 @t175))) % 0.37/0.85 (step @p234 :rule trans :premises (@p233 @p226)) % 0.37/0.85 (step @p235 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t55 @t119 @t59 @t47 @t176)) @t175))) % 0.37/0.85 (step @p236 :rule refl :args (@t176)) % 0.37/0.85 (step @p237 :rule refl :args (@t47)) % 0.37/0.85 (step @p238 :rule refl :args (@t55)) % 0.37/0.85 (step @p239 :rule eq-symm :args (tptp.nil @t2)) % 0.37/0.85 (step @p240 :rule cong :premises (@p239) :args (@t55)) % 0.37/0.85 (step @p241 :rule nary_cong :premises (@p240 @p238 @p211 @p210 @p237 @p236) :args (@t177)) % 0.37/0.85 (step @p242 :rule aci_norm :args ((= @t178 @t177))) % 0.37/0.85 (step @p243 :rule trans :premises (@p242 @p241)) % 0.37/0.85 (step @p244 :rule cong :premises (@p243) :args (@t179)) % 0.37/0.85 (step @p245 :rule trans :premises (@p244 @p235)) % 0.37/0.85 (step @p246 :rule cong :premises (@p245) :args (@t180)) % 0.37/0.85 (step @p247 :rule quant-merge-prenex :args ((= @t180 @t181))) % 0.37/0.85 (step @p248 :rule symm :premises (@p247)) % 0.37/0.85 (step @p249 :rule quant_var_reordering :args ((= (forall @t41 @t178) @t181))) % 0.37/0.85 (step @p250 :rule trans :premises (@p249 @p248 @p246)) % 0.37/0.85 (step @p251 :rule trans :premises (@p250 @p234)) % 0.37/0.85 (step @p252 :rule eq-symm :args (@t89 tptp.nil)) % 0.37/0.85 (step @p253 :rule refl :args (@t47)) % 0.37/0.85 (step @p254 :rule refl :args (@t55)) % 0.37/0.85 (step @p255 :rule nary_cong :premises (@p254 @p230 @p229 @p253 @p252) :args (@t120)) % 0.37/0.85 (step @p256 :rule cong :premises (@p255) :args (@t121)) % 0.37/0.85 (step @p257 :rule trans :premises (@p256 @p251)) % 0.37/0.85 (step @p258 :rule eq_resolve :premises (@p142 @p257)) % 0.37/0.85 (step @p259 :rule chain_m_resolution :premises (@p258 @p8) :args (@t162 @t182 (@list @t1))) % 0.37/0.85 (step @p260 :rule refl :args (@t183)) % 0.37/0.85 (step @p261 :rule bool-double-not-elim :args (@t158)) % 0.37/0.85 (step @p262 :rule refl :args (@t184)) % 0.37/0.85 (step @p263 :rule nary_cong :premises (@p262 @p261 @p260) :args ((or @t184 (not @t161) @t183))) % 0.37/0.85 (assume-push @p418 @t147) % 0.37/0.85 (assume-push @p419 @t161) % 0.37/0.85 (assume-push @p420 @t161) % 0.37/0.85 (assume-push @p421 @t147) % 0.37/0.85 (step @p268 :rule false_intro :premises (@p419)) % 0.37/0.85 (step @p269 :rule symm :premises (@p188)) % 0.37/0.85 (step @p270 :rule refl :args (tptp.nil)) % 0.37/0.85 (step @p271 :rule cong :premises (@p270 @p269) :args (@t150)) % 0.37/0.85 (step @p272 :rule trans :premises (@p271 @p268)) % 0.37/0.85 (step @p273 :rule false_elim :premises (@p272)) % 0.37/0.85 (step-pop @p422 :rule scope :premises (@p273)) % 0.37/0.85 (step-pop @p423 :rule scope :premises (@p422)) % 0.37/0.85 (step @p274 :rule process_scope :premises (@p423) :args (@t183)) % 0.37/0.85 (step @p277 :rule and_intro :premises (@p419 @p188)) % 0.37/0.85 (step @p278 :rule modus_ponens :premises (@p277 @p274)) % 0.37/0.85 (step-pop @p424 :rule scope :premises (@p278)) % 0.37/0.85 (step-pop @p425 :rule scope :premises (@p424)) % 0.37/0.85 (step @p279 :rule process_scope :premises (@p425) :args (@t183)) % 0.37/0.85 (step @p282 :rule implies_elim :premises (@p279)) % 0.37/0.85 (step @p283 :rule cnf_and_neg :args (@t185)) % 0.37/0.85 (step @p284 :rule resolution :premises (@p283 @p282) :args (true @t185)) % 0.37/0.85 (step @p285 :rule eq_resolve :premises (@p284 @p263)) % 0.37/0.85 (step @p286 :rule reordering :premises (@p285) :args ((or @t158 @t184 @t183))) % 0.37/0.85 (assume-push @p426 @t146) % 0.37/0.85 (assume-push @p427 @t159) % 0.37/0.85 (assume-push @p428 @t146) % 0.37/0.85 (assume-push @p429 @t159) % 0.37/0.85 (step @p291 :rule trans :premises (@p427 @p187)) % 0.37/0.85 (step-pop @p430 :rule scope :premises (@p291)) % 0.37/0.85 (step-pop @p431 :rule scope :premises (@p430)) % 0.37/0.85 (step @p292 :rule process_scope :premises (@p431) :args (@t148)) % 0.37/0.85 (step @p295 :rule and_intro :premises (@p187 @p427)) % 0.37/0.85 (step @p296 :rule modus_ponens :premises (@p295 @p292)) % 0.37/0.85 (step-pop @p432 :rule scope :premises (@p296)) % 0.37/0.85 (step-pop @p433 :rule scope :premises (@p432)) % 0.37/0.85 (step @p297 :rule process_scope :premises (@p433) :args (@t148)) % 0.37/0.85 (step @p300 :rule implies_elim :premises (@p297)) % 0.37/0.85 (step @p301 :rule cnf_and_neg :args (@t186)) % 0.37/0.85 (step @p302 :rule resolution :premises (@p301 @p300) :args (true @t186)) % 0.37/0.85 (step @p303 :rule reordering :premises (@p302) :args ((or @t148 @t160 @t187))) % 0.37/0.85 (step @p304 :rule chain_m_resolution :premises (@p189 @p303 @p187 @p286 @p188 @p194) :args (@t158 (@list false false true false false) (@list @t148 @t146 @t150 @t147 @t159))) % 0.37/0.85 (step @p305 :rule eq-symm :args (@t40 @t2)) % 0.37/0.85 (step @p306 :rule refl :args (@t71)) % 0.37/0.85 (step @p307 :rule nary_cong :premises (@p253 @p229 @p306 @p305) :args (@t72)) % 0.37/0.85 (step @p308 :rule cong :premises (@p307) :args (@t73)) % 0.37/0.85 (step @p309 :rule eq_resolve :premises (@p98 @p308)) % 0.37/0.85 (step @p310 :rule instantiate :premises (@p309) :args ((@list tptp.nil tptp.sk4))) % 0.37/0.85 (step @p311 :rule reordering :premises (@p197) :args ((or @t160 @t161))) % 0.37/0.85 (step @p312 :rule chain_m_resolution :premises (@p311 @p304) :args (@t160 @t182 (@list @t158))) % 0.37/0.85 (step @p313 :rule refl :args (@t149)) % 0.37/0.85 (step @p314 :rule bool-double-not-elim :args (@t159)) % 0.37/0.85 (step @p315 :rule refl :args (@t187)) % 0.37/0.85 (step @p316 :rule nary_cong :premises (@p315 @p314 @p313) :args ((or @t187 (not @t160) @t149))) % 0.37/0.85 (assume-push @p434 @t146) % 0.37/0.85 (assume-push @p435 @t160) % 0.37/0.85 (assume-push @p436 @t160) % 0.37/0.85 (assume-push @p437 @t146) % 0.37/0.85 (step @p321 :rule false_intro :premises (@p435)) % 0.37/0.85 (step @p322 :rule symm :premises (@p187)) % 0.37/0.85 (step @p270 :rule refl :args (tptp.nil)) % 0.37/0.85 (step @p323 :rule cong :premises (@p270 @p322) :args (@t148)) % 0.37/0.85 (step @p324 :rule trans :premises (@p323 @p321)) % 0.37/0.85 (step @p325 :rule false_elim :premises (@p324)) % 0.37/0.85 (step-pop @p438 :rule scope :premises (@p325)) % 0.37/0.85 (step-pop @p439 :rule scope :premises (@p438)) % 0.37/0.85 (step @p326 :rule process_scope :premises (@p439) :args (@t149)) % 0.37/0.85 (step @p329 :rule and_intro :premises (@p435 @p187)) % 0.37/0.85 (step @p330 :rule modus_ponens :premises (@p329 @p326)) % 0.37/0.85 (step-pop @p440 :rule scope :premises (@p330)) % 0.37/0.85 (step-pop @p441 :rule scope :premises (@p440)) % 0.37/0.85 (step @p331 :rule process_scope :premises (@p441) :args (@t149)) % 0.37/0.85 (step @p334 :rule implies_elim :premises (@p331)) % 0.37/0.85 (step @p335 :rule cnf_and_neg :args (@t188)) % 0.37/0.85 (step @p336 :rule resolution :premises (@p335 @p334) :args (true @t188)) % 0.37/0.85 (step @p337 :rule eq_resolve :premises (@p336 @p316)) % 0.37/0.85 (step @p338 :rule reordering :premises (@p337) :args ((or @t149 @t159 @t187))) % 0.37/0.85 (step @p339 :rule chain_m_resolution :premises (@p338 @p312 @p187) :args (@t149 (@list true false) (@list @t159 @t146))) % 0.37/0.85 (step @p340 :rule cnf_or_pos :args (@t190)) % 0.37/0.85 (step @p341 :rule reordering :premises (@p340) :args ((or @t148 @t151 @t163 @t189 (not @t190)))) % 0.37/0.85 (step @p342 :rule chain_m_resolution :premises (@p341 @p339 @p8 @p186 @p310) :args (@t151 (@list true false false false) (@list @t148 @t1 @t145 @t190))) % 0.37/0.85 (step @p343 :rule refl :args (@t152)) % 0.37/0.85 (step @p344 :rule eq-symm :args (@t156 tptp.sk3)) % 0.37/0.85 (step @p345 :rule nary_cong :premises (@p344 @p343) :args (@t157)) % 0.37/0.85 (step @p346 :rule eq_resolve :premises (@p193 @p345)) % 0.37/0.85 (step @p347 :rule reordering :premises (@p346) :args ((or @t152 @t191))) % 0.37/0.85 (step @p348 :rule chain_m_resolution :premises (@p347 @p342) :args (@t191 @t182 @t192)) % 0.37/0.85 (step @p349 :rule refl :args (@t92)) % 0.37/0.85 (step @p350 :rule cong :premises (@p252) :args (@t91)) % 0.37/0.85 (step @p351 :rule nary_cong :premises (@p350 @p229 @p253 @p349) :args (@t93)) % 0.37/0.85 (step @p352 :rule cong :premises (@p351) :args (@t94)) % 0.37/0.85 (step @p353 :rule eq_resolve :premises (@p117 @p352)) % 0.37/0.85 (step @p354 :rule instantiate :premises (@p353) :args ((@list tptp.sk6 @t155))) % 0.37/0.85 (step @p355 :rule instantiate :premises (@p84) :args (@t193)) % 0.37/0.85 (step @p356 :rule chain_m_resolution :premises (@p190 @p342) :args (@t153 @t182 @t192)) % 0.37/0.85 (step @p357 :rule cnf_or_pos :args (@t196)) % 0.37/0.85 (step @p358 :rule reordering :premises (@p357) :args ((or @t163 @t195 @t194 (not @t196)))) % 0.37/0.85 (step @p359 :rule chain_m_resolution :premises (@p358 @p8 @p356 @p355) :args (@t194 @t197 (@list @t1 @t153 @t196))) % 0.37/0.85 (step @p360 :rule refl :args (@t46)) % 0.37/0.85 (step @p361 :rule eq-symm :args (@t60 tptp.nil)) % 0.37/0.85 (step @p362 :rule cong :premises (@p361) :args (@t67)) % 0.37/0.85 (step @p363 :rule nary_cong :premises (@p362 @p360 @p229) :args (@t68)) % 0.37/0.85 (step @p364 :rule cong :premises (@p363) :args (@t69)) % 0.37/0.85 (step @p365 :rule eq_resolve :premises (@p96 @p364)) % 0.37/0.85 (step @p366 :rule instantiate :premises (@p365) :args (@t193)) % 0.37/0.85 (step @p367 :rule cnf_or_pos :args (@t200)) % 0.37/0.85 (step @p368 :rule reordering :premises (@p367) :args ((or @t163 @t195 @t199 (not @t200)))) % 0.37/0.85 (step @p369 :rule chain_m_resolution :premises (@p368 @p8 @p356 @p366) :args (@t199 @t197 (@list @t1 @t153 @t200))) % 0.37/0.85 (step @p370 :rule reordering :premises (@p191) :args ((or @t152 @t154))) % 0.37/0.85 (step @p371 :rule chain_m_resolution :premises (@p370 @p342) :args (@t154 @t182 @t192)) % 0.37/0.85 (step @p372 :rule cnf_or_pos :args (@t205)) % 0.37/0.85 (step @p373 :rule reordering :premises (@p372) :args ((or @t201 @t198 @t202 @t204 (not @t205)))) % 0.37/0.85 (step @p374 :rule chain_m_resolution :premises (@p373 @p371 @p369 @p359 @p354) :args (@t204 (@list false true false false) (@list @t154 @t198 @t194 @t205))) % 0.37/0.85 (step @p375 :rule bool-double-not-elim :args (@t203)) % 0.37/0.85 (step @p376 :rule refl :args (@t206)) % 0.37/0.85 (step @p377 :rule refl :args (@t207)) % 0.37/0.85 (step @p378 :rule refl :args (@t161)) % 0.37/0.85 (step @p379 :rule nary_cong :premises (@p262 @p378 @p377 @p376 @p375) :args ((or @t184 @t161 @t207 @t206 (not @t204)))) % 0.37/0.85 (assume-push @p442 @t204) % 0.37/0.85 (assume-push @p443 @t191) % 0.37/0.85 (assume-push @p444 @t147) % 0.37/0.85 (assume-push @p445 @t158) % 0.37/0.85 (assume-push @p446 @t162) % 0.37/0.85 (step @p385 :rule evaluate :args ((= true false))) % 0.37/0.85 (step @p386 :rule false_intro :premises (@p442)) % 0.37/0.85 (step @p387 :rule symm :premises (@p259)) % 0.37/0.85 (step @p388 :rule trans :premises (@p387 @p445 @p188 @p443)) % 0.37/0.85 (step @p389 :rule trans :premises (@p259 @p388)) % 0.37/0.85 (step @p390 :rule true_intro :premises (@p389)) % 0.37/0.85 (step @p391 :rule symm :premises (@p390)) % 0.37/0.85 (step @p392 :rule trans :premises (@p391 @p386)) % 0.37/0.85 (step @p393 false :rule eq_resolve :premises (@p392 @p385)) % 0.37/0.85 (step-pop @p447 :rule scope :premises (@p393)) % 0.37/0.85 (step-pop @p448 :rule scope :premises (@p447)) % 0.37/0.85 (step-pop @p449 :rule scope :premises (@p448)) % 0.37/0.85 (step-pop @p450 :rule scope :premises (@p449)) % 0.37/0.85 (step-pop @p451 :rule scope :premises (@p450)) % 0.37/0.85 (step @p394 :rule process_scope :premises (@p451) :args (false)) % 0.37/0.85 (assume-push @p452 @t147) % 0.37/0.85 (assume-push @p453 @t158) % 0.37/0.85 (assume-push @p454 @t162) % 0.37/0.85 (assume-push @p455 @t191) % 0.37/0.85 (assume-push @p456 @t204) % 0.37/0.85 (step @p405 :rule and_intro :premises (@p456 @p455 @p188 @p453 @p259)) % 0.37/0.85 (step-pop @p457 :rule scope :premises (@p405)) % 0.37/0.85 (step-pop @p458 :rule scope :premises (@p457)) % 0.37/0.85 (step-pop @p459 :rule scope :premises (@p458)) % 0.37/0.85 (step-pop @p460 :rule scope :premises (@p459)) % 0.37/0.85 (step-pop @p461 :rule scope :premises (@p460)) % 0.37/0.85 (step @p406 :rule process_scope :premises (@p461) :args (@t208)) % 0.37/0.85 (step @p412 :rule implies_elim :premises (@p406)) % 0.37/0.85 (step @p413 :rule resolution :premises (@p412 @p394) :args (true @t208)) % 0.37/0.85 (step @p414 :rule not_and :premises (@p413)) % 0.37/0.85 (step @p415 :rule eq_resolve :premises (@p414 @p379)) % 0.37/0.85 (step @p416 :rule reordering :premises (@p415) :args ((or @t161 @t207 @t184 @t206 @t203))) % 0.37/0.85 (step @p417 false :rule chain_m_resolution :premises (@p416 @p374 @p348 @p304 @p188 @p259) :args (false (@list true false false false false) (@list @t203 @t191 @t158 @t147 @t162))) % 0.37/0.85 ) % 0.37/0.86 % SZS output end Proof % 0.37/0.86 % cvc5 exiting %------------------------------------------------------------------------------