%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC108-1 : 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 : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:05 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.91s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SWC108-1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:15:47 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.91 % SZS status Unsatisfiable % 0.38/0.91 % SZS output start Proof % 0.38/0.93 ( % 0.38/0.93 (declare-sort $$unsorted 0) % 0.38/0.93 (declare-const tptp.sk4 $$unsorted) % 0.38/0.93 (declare-const tptp.sk2 $$unsorted) % 0.38/0.93 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.nil $$unsorted) % 0.38/0.93 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.sk1 $$unsorted) % 0.38/0.93 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skac2 $$unsorted) % 0.38/0.93 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.sk3 $$unsorted) % 0.38/0.93 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skac3 $$unsorted) % 0.38/0.93 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (define @t1 () (tptp.ssList tptp.nil)) % 0.38/0.93 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.93 (define @t3 () (tptp.skaf83 @t2)) % 0.38/0.93 (define @t4 () (@list @t2)) % 0.38/0.93 (define @t5 () (tptp.skaf82 @t2)) % 0.38/0.93 (define @t6 () (tptp.skaf81 @t2)) % 0.38/0.93 (define @t7 () (tptp.skaf80 @t2)) % 0.38/0.93 (define @t8 () (tptp.skaf79 @t2)) % 0.38/0.93 (define @t9 () (tptp.skaf78 @t2)) % 0.38/0.93 (define @t10 () (tptp.skaf77 @t2)) % 0.38/0.93 (define @t11 () (tptp.skaf76 @t2)) % 0.38/0.93 (define @t12 () (tptp.skaf75 @t2)) % 0.38/0.93 (define @t13 () (tptp.skaf74 @t2)) % 0.38/0.93 (define @t14 () (tptp.skaf73 @t2)) % 0.38/0.93 (define @t15 () (tptp.skaf72 @t2)) % 0.38/0.93 (define @t16 () (tptp.skaf71 @t2)) % 0.38/0.93 (define @t17 () (tptp.skaf70 @t2)) % 0.38/0.93 (define @t18 () (tptp.skaf69 @t2)) % 0.38/0.93 (define @t19 () (tptp.skaf68 @t2)) % 0.38/0.93 (define @t20 () (tptp.skaf67 @t2)) % 0.38/0.93 (define @t21 () (tptp.skaf66 @t2)) % 0.38/0.93 (define @t22 () (tptp.skaf65 @t2)) % 0.38/0.93 (define @t23 () (tptp.skaf64 @t2)) % 0.38/0.93 (define @t24 () (tptp.skaf63 @t2)) % 0.38/0.93 (define @t25 () (tptp.skaf62 @t2)) % 0.38/0.93 (define @t26 () (tptp.skaf61 @t2)) % 0.38/0.93 (define @t27 () (tptp.skaf60 @t2)) % 0.38/0.93 (define @t28 () (tptp.skaf59 @t2)) % 0.38/0.93 (define @t29 () (tptp.skaf58 @t2)) % 0.38/0.93 (define @t30 () (tptp.skaf57 @t2)) % 0.38/0.93 (define @t31 () (tptp.skaf56 @t2)) % 0.38/0.93 (define @t32 () (tptp.skaf55 @t2)) % 0.38/0.93 (define @t33 () (tptp.skaf54 @t2)) % 0.38/0.93 (define @t34 () (tptp.skaf53 @t2)) % 0.38/0.93 (define @t35 () (tptp.skaf52 @t2)) % 0.38/0.93 (define @t36 () (tptp.skaf51 @t2)) % 0.38/0.93 (define @t37 () (tptp.skaf50 @t2)) % 0.38/0.93 (define @t38 () (tptp.skaf49 @t2)) % 0.38/0.93 (define @t39 () (tptp.skaf44 @t2)) % 0.38/0.93 (define @t40 () (@var "V" $$unsorted)) % 0.38/0.93 (define @t41 () (@list @t2 @t40)) % 0.38/0.93 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.38/0.93 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.38/0.93 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.38/0.93 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.38/0.93 (define @t46 () (not (tptp.ssItem @t2))) % 0.38/0.93 (define @t47 () (not (tptp.ssList @t2))) % 0.38/0.93 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.38/0.93 (define @t49 () (tptp.ssItem @t40)) % 0.38/0.93 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.38/0.93 (define @t51 () (tptp.app @t2 tptp.nil)) % 0.38/0.93 (define @t52 () (or @t47 (= @t51 @t2))) % 0.38/0.93 (define @t53 () (forall @t4 @t52)) % 0.38/0.93 (define @t54 () (= tptp.nil @t2)) % 0.38/0.93 (define @t55 () (tptp.tl @t2)) % 0.38/0.93 (define @t56 () (tptp.hd @t2)) % 0.38/0.93 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 0.38/0.93 (define @t58 () (not @t54)) % 0.38/0.93 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 0.38/0.93 (define @t60 () (or @t58 @t47 @t59)) % 0.38/0.93 (define @t61 () (forall @t4 @t60)) % 0.38/0.93 (define @t62 () (tptp.frontsegP tptp.nil @t2)) % 0.38/0.93 (define @t63 () (tptp.app @t40 @t2)) % 0.38/0.93 (define @t64 () (not (tptp.ssList @t40))) % 0.38/0.93 (define @t65 () (tptp.cons @t2 @t40)) % 0.38/0.93 (define @t66 () (tptp.cyclefreeP @t2)) % 0.38/0.93 (define @t67 () (tptp.equalelemsP @t2)) % 0.38/0.93 (define @t68 () (tptp.strictorderedP @t2)) % 0.38/0.93 (define @t69 () (tptp.totalorderedP @t2)) % 0.38/0.93 (define @t70 () (tptp.strictorderP @t2)) % 0.38/0.93 (define @t71 () (tptp.totalorderP @t2)) % 0.38/0.93 (define @t72 () (= @t40 @t2)) % 0.38/0.93 (define @t73 () (tptp.neq @t40 @t2)) % 0.38/0.93 (define @t74 () (not @t49)) % 0.38/0.93 (define @t75 () (tptp.leq @t2 @t40)) % 0.38/0.93 (define @t76 () (tptp.lt @t2 @t40)) % 0.38/0.93 (define @t77 () (not @t76)) % 0.38/0.93 (define @t78 () (tptp.lt @t40 @t2)) % 0.38/0.93 (define @t79 () (not (tptp.gt @t2 @t40))) % 0.38/0.93 (define @t80 () (tptp.gt @t40 @t2)) % 0.38/0.93 (define @t81 () (tptp.leq @t40 @t2)) % 0.38/0.93 (define @t82 () (not (tptp.geq @t2 @t40))) % 0.38/0.93 (define @t83 () (tptp.geq @t40 @t2)) % 0.38/0.93 (define @t84 () (not @t75)) % 0.38/0.93 (define @t85 () (= @t2 @t40)) % 0.38/0.93 (define @t86 () (not @t85)) % 0.38/0.93 (define @t87 () (tptp.cons @t40 @t2)) % 0.38/0.93 (define @t88 () (not (tptp.neq @t2 @t40))) % 0.38/0.93 (define @t89 () (or @t86 @t88 @t64 @t47)) % 0.38/0.93 (define @t90 () (forall @t41 @t89)) % 0.38/0.93 (define @t91 () (tptp.app @t2 @t40)) % 0.38/0.93 (define @t92 () (= @t91 tptp.nil)) % 0.38/0.93 (define @t93 () (not @t92)) % 0.38/0.93 (define @t94 () (= tptp.nil @t40)) % 0.38/0.93 (define @t95 () (tptp.hd @t40)) % 0.38/0.93 (define @t96 () (tptp.strictorderedP @t40)) % 0.38/0.93 (define @t97 () (tptp.strictorderedP @t65)) % 0.38/0.93 (define @t98 () (not @t97)) % 0.38/0.93 (define @t99 () (tptp.totalorderedP @t40)) % 0.38/0.93 (define @t100 () (tptp.totalorderedP @t65)) % 0.38/0.93 (define @t101 () (not @t100)) % 0.38/0.93 (define @t102 () (not (tptp.segmentP @t2 @t40))) % 0.38/0.93 (define @t103 () (not (tptp.rearsegP @t2 @t40))) % 0.38/0.93 (define @t104 () (not (tptp.frontsegP @t2 @t40))) % 0.38/0.93 (define @t105 () (not @t81)) % 0.38/0.93 (define @t106 () (tptp.app @t43 @t40)) % 0.38/0.93 (define @t107 () (or @t103 @t64 @t47 (= @t106 @t2))) % 0.38/0.93 (define @t108 () (forall @t41 @t107)) % 0.38/0.93 (define @t109 () (tptp.tl @t40)) % 0.38/0.93 (define @t110 () (tptp.lt @t2 @t95)) % 0.38/0.93 (define @t111 () (tptp.leq @t2 @t95)) % 0.38/0.93 (define @t112 () (@var "W" $$unsorted)) % 0.38/0.93 (define @t113 () (tptp.app @t112 @t2)) % 0.38/0.93 (define @t114 () (not (tptp.ssList @t112))) % 0.38/0.93 (define @t115 () (@list @t2 @t40 @t112)) % 0.38/0.93 (define @t116 () (tptp.app @t2 @t112)) % 0.38/0.93 (define @t117 () (tptp.cons @t40 @t112)) % 0.38/0.93 (define @t118 () (tptp.cons @t112 @t2)) % 0.38/0.93 (define @t119 () (not (tptp.ssItem @t112))) % 0.38/0.93 (define @t120 () (not (tptp.memberP @t2 @t40))) % 0.38/0.93 (define @t121 () (not (= @t91 @t112))) % 0.38/0.93 (define @t122 () (tptp.lt @t2 @t112)) % 0.38/0.93 (define @t123 () (not (tptp.lt @t40 @t112))) % 0.38/0.93 (define @t124 () (tptp.app @t112 @t40)) % 0.38/0.93 (define @t125 () (= @t40 @t112)) % 0.38/0.93 (define @t126 () (= @t2 @t112)) % 0.38/0.93 (define @t127 () (tptp.memberP @t40 @t112)) % 0.38/0.93 (define @t128 () (@var "X" $$unsorted)) % 0.38/0.93 (define @t129 () (not (tptp.ssList @t128))) % 0.38/0.93 (define @t130 () (tptp.cons @t112 @t128)) % 0.38/0.93 (define @t131 () (not (= @t65 @t130))) % 0.38/0.93 (define @t132 () (@list @t2 @t40 @t112 @t128)) % 0.38/0.93 (define @t133 () (tptp.segmentP @t128 @t40)) % 0.38/0.93 (define @t134 () (tptp.app @t91 @t112)) % 0.38/0.93 (define @t135 () (not (= @t134 @t128))) % 0.38/0.93 (define @t136 () (or @t135 @t114 @t47 @t64 @t129 @t133)) % 0.38/0.93 (define @t137 () (forall @t132 @t136)) % 0.38/0.93 (define @t138 () (not (tptp.frontsegP @t65 @t130))) % 0.38/0.93 (define @t139 () (tptp.app @t2 @t117)) % 0.38/0.93 (define @t140 () (not (tptp.ssItem @t128))) % 0.38/0.93 (define @t141 () (@var "Y" $$unsorted)) % 0.38/0.93 (define @t142 () (not (tptp.ssList @t141))) % 0.38/0.93 (define @t143 () (@list @t2 @t40 @t112 @t128 @t141)) % 0.38/0.93 (define @t144 () (tptp.lt @t40 @t128)) % 0.38/0.93 (define @t145 () (@var "Z" $$unsorted)) % 0.38/0.93 (define @t146 () (not (tptp.ssList @t145))) % 0.38/0.93 (define @t147 () (not (= (tptp.app @t139 (tptp.cons @t128 @t141)) @t145))) % 0.38/0.93 (define @t148 () (@list @t2 @t40 @t112 @t128 @t141 @t145)) % 0.38/0.93 (define @t149 () (tptp.leq @t40 @t128)) % 0.38/0.93 (define @t150 () (tptp.ssList tptp.sk1)) % 0.38/0.93 (define @t151 () (tptp.ssList tptp.sk2)) % 0.38/0.93 (define @t152 () (tptp.ssList tptp.sk3)) % 0.38/0.93 (define @t153 () (tptp.ssList tptp.sk4)) % 0.38/0.93 (define @t154 () (= tptp.sk2 tptp.sk4)) % 0.38/0.93 (define @t155 () (= tptp.sk1 tptp.sk3)) % 0.38/0.93 (define @t156 () (tptp.neq tptp.sk2 tptp.nil)) % 0.38/0.93 (define @t157 () (= tptp.nil tptp.sk2)) % 0.38/0.93 (define @t158 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 0.38/0.93 (define @t159 () (not @t158)) % 0.38/0.93 (define @t160 () (tptp.neq tptp.sk1 tptp.nil)) % 0.38/0.93 (define @t161 () (not @t160)) % 0.38/0.93 (define @t162 () (= tptp.nil tptp.sk1)) % 0.38/0.93 (define @t163 () (not @t162)) % 0.38/0.93 (define @t164 () (tptp.neq tptp.sk3 tptp.nil)) % 0.38/0.93 (define @t165 () (= tptp.nil tptp.sk4)) % 0.38/0.93 (define @t166 () (tptp.rearsegP tptp.sk4 tptp.sk3)) % 0.38/0.93 (define @t167 () (= tptp.nil tptp.sk3)) % 0.38/0.93 (define @t168 () (tptp.segmentP @t134 @t40)) % 0.38/0.93 (define @t169 () (not (tptp.ssList @t134))) % 0.38/0.93 (define @t170 () (not (= @t134 @t134))) % 0.38/0.93 (define @t171 () (or @t170 @t114 @t47 @t64 @t169 @t168)) % 0.38/0.93 (define @t172 () (not (= @t128 @t134))) % 0.38/0.93 (define @t173 () (or @t172 @t172 @t114 @t47 @t64 @t129 @t133)) % 0.38/0.93 (define @t174 () (@list @t128)) % 0.38/0.93 (define @t175 () (or @t172 @t114 @t47 @t64 @t129 @t133)) % 0.38/0.93 (define @t176 () (forall @t174 @t175)) % 0.38/0.93 (define @t177 () (forall @t115 @t176)) % 0.38/0.93 (define @t178 () (tptp.skaf46 tptp.sk4 tptp.sk3)) % 0.38/0.93 (define @t179 () (@list tptp.sk4 tptp.sk3)) % 0.38/0.93 (define @t180 () (tptp.rearsegP tptp.nil tptp.nil)) % 0.38/0.93 (define @t181 () (not @t1)) % 0.38/0.93 (define @t182 () (not (= tptp.nil tptp.nil))) % 0.38/0.93 (define @t183 () (or @t182 @t181 @t180)) % 0.38/0.93 (define @t184 () (or @t58 @t58 @t47 @t59)) % 0.38/0.93 (define @t185 () (not @t180)) % 0.38/0.93 (define @t186 () (not @t167)) % 0.38/0.93 (define @t187 () (not @t165)) % 0.38/0.93 (define @t188 () (not @t155)) % 0.38/0.93 (define @t189 () (not @t166)) % 0.38/0.93 (define @t190 () (= false true)) % 0.38/0.93 (define @t191 () (tptp.rearsegP tptp.nil tptp.sk1)) % 0.38/0.93 (define @t192 () (and @t189 @t180 @t167 @t155 @t165)) % 0.38/0.93 (define @t193 () (@list false false false false)) % 0.38/0.93 (define @t194 () (tptp.app @t178 tptp.sk3)) % 0.38/0.93 (define @t195 () (= tptp.sk4 @t194)) % 0.38/0.93 (define @t196 () (not @t153)) % 0.38/0.93 (define @t197 () (not @t152)) % 0.38/0.93 (define @t198 () (or @t189 @t197 @t196 @t195)) % 0.38/0.93 (define @t199 () (@list tptp.sk2)) % 0.38/0.93 (define @t200 () (= tptp.sk2 (tptp.app tptp.sk2 tptp.nil))) % 0.38/0.93 (define @t201 () (not @t151)) % 0.38/0.93 (define @t202 () (or @t201 @t200)) % 0.38/0.93 (define @t203 () (@list false false)) % 0.38/0.93 (define @t204 () (and @t155 @t167)) % 0.38/0.93 (define @t205 () (not (tptp.neq @t40 @t40))) % 0.38/0.93 (define @t206 () (not (= @t40 @t40))) % 0.38/0.93 (define @t207 () (or @t206 @t205 @t64 @t64)) % 0.38/0.93 (define @t208 () (@list @t40)) % 0.38/0.93 (define @t209 () (or @t86 @t86 @t88 @t64 @t47)) % 0.38/0.93 (define @t210 () (forall @t4 @t89)) % 0.38/0.93 (define @t211 () (forall @t208 @t210)) % 0.38/0.93 (define @t212 () (forall (@list @t40 @t2) @t89)) % 0.38/0.93 (define @t213 () (@list tptp.sk1)) % 0.38/0.93 (define @t214 () (not @t150)) % 0.38/0.93 (define @t215 () (tptp.neq tptp.sk1 tptp.sk1)) % 0.38/0.93 (define @t216 () (not @t215)) % 0.38/0.93 (define @t217 () (or @t216 @t214)) % 0.38/0.93 (define @t218 () (not @t164)) % 0.38/0.93 (define @t219 () (and @t155 @t167 @t216)) % 0.38/0.93 (define @t220 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.38/0.93 (define @t221 () (not @t220)) % 0.38/0.93 (define @t222 () (or @t221 @t201)) % 0.38/0.93 (define @t223 () (not @t156)) % 0.38/0.93 (define @t224 () (not @t154)) % 0.38/0.93 (define @t225 () (and @t156 @t165 @t154 @t221)) % 0.38/0.93 (define @t226 () (and @t155 @t164)) % 0.38/0.93 (define @t227 () (and @t155 @t186)) % 0.38/0.93 (define @t228 () (@list true false)) % 0.38/0.93 (define @t229 () (not @t191)) % 0.38/0.93 (define @t230 () (or @t229 @t214 @t162)) % 0.38/0.93 (define @t231 () (and @t229 @t166 @t165 @t155)) % 0.38/0.93 (define @t232 () (not @t157)) % 0.38/0.93 (define @t233 () (and @t154 @t187)) % 0.38/0.93 (define @t234 () (tptp.app @t194 tptp.nil)) % 0.38/0.93 (define @t235 () (tptp.segmentP @t234 tptp.sk3)) % 0.38/0.93 (define @t236 () (not @t235)) % 0.38/0.93 (define @t237 () (not @t195)) % 0.38/0.93 (define @t238 () (not @t200)) % 0.38/0.93 (define @t239 () (and @t154 @t155 @t159 @t200 @t195)) % 0.38/0.93 (define @t240 () (tptp.ssList @t234)) % 0.38/0.93 (define @t241 () (and @t151 @t154 @t200 @t195)) % 0.38/0.93 (define @t242 () (not @t240)) % 0.38/0.93 (define @t243 () (tptp.ssList @t178)) % 0.38/0.93 (define @t244 () (not @t243)) % 0.38/0.93 (define @t245 () (or @t181 @t244 @t197 @t242 @t235)) % 0.38/0.93 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.38/0.93 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.38/0.93 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.38/0.93 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.38/0.93 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.38/0.93 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.38/0.93 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.38/0.93 (assume @p8 @t1) % 0.38/0.93 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.38/0.93 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.38/0.93 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.38/0.93 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.38/0.93 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.38/0.93 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.38/0.93 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.38/0.93 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.38/0.93 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.38/0.93 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.38/0.93 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.38/0.93 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.38/0.93 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.38/0.93 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.38/0.93 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.38/0.93 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.38/0.93 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.38/0.93 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.38/0.93 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.38/0.93 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.38/0.93 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.38/0.93 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.38/0.93 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.38/0.93 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.38/0.93 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.38/0.93 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.38/0.93 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.38/0.93 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.38/0.93 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.38/0.93 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.38/0.93 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.38/0.93 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.38/0.93 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.38/0.93 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.38/0.93 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.38/0.93 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.38/0.93 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.38/0.93 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.38/0.93 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.38/0.93 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.38/0.93 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.38/0.93 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.38/0.93 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.38/0.93 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.38/0.93 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.38/0.93 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.38/0.93 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.38/0.93 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.38/0.93 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.38/0.93 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.38/0.93 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.38/0.93 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.38/0.93 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.38/0.93 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.38/0.93 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.38/0.93 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.38/0.93 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.38/0.93 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.38/0.93 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.38/0.93 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.38/0.93 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.38/0.93 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.38/0.93 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.38/0.93 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.38/0.93 (assume @p73 @t53) % 0.38/0.93 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.38/0.93 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 0.38/0.93 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 0.38/0.93 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 0.38/0.93 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 0.38/0.93 (assume @p79 @t61) % 0.38/0.93 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 0.38/0.93 (assume @p81 (forall @t4 (or @t58 @t47 @t62))) % 0.38/0.93 (assume @p82 (forall @t4 (or (not @t62) @t47 @t54))) % 0.38/0.93 (assume @p83 (forall @t41 (or @t47 @t64 (tptp.ssList @t63)))) % 0.38/0.93 (assume @p84 (forall @t41 (or @t46 @t64 (tptp.ssList @t65)))) % 0.38/0.93 (assume @p85 (forall @t4 (or @t47 @t66 (tptp.leq @t37 @t38)))) % 0.38/0.93 (assume @p86 (forall @t4 (or @t47 @t66 (tptp.leq @t38 @t37)))) % 0.38/0.93 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t67))) % 0.38/0.93 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t68))) % 0.38/0.93 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t69))) % 0.38/0.93 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t70))) % 0.38/0.93 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t70))) % 0.38/0.93 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t71))) % 0.38/0.93 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t71))) % 0.38/0.93 (assume @p94 (forall @t41 (or @t46 @t64 (= (tptp.tl @t65) @t40)))) % 0.38/0.93 (assume @p95 (forall @t41 (or @t46 @t64 (= (tptp.hd @t65) @t2)))) % 0.38/0.93 (assume @p96 (forall @t41 (or (not (= @t65 tptp.nil)) @t46 @t64))) % 0.38/0.93 (assume @p97 (forall @t41 (or (not (= @t65 @t40)) @t46 @t64))) % 0.38/0.93 (assume @p98 (forall @t41 (or @t47 @t64 @t73 @t72))) % 0.38/0.93 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.38/0.93 (assume @p100 (forall @t41 (or @t46 @t74 @t73 @t72))) % 0.38/0.93 (assume @p101 (forall @t41 (or @t77 @t74 @t46 @t75))) % 0.38/0.93 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 0.38/0.93 (assume @p103 (forall @t41 (or @t79 @t74 @t46 @t78))) % 0.38/0.93 (assume @p104 (forall @t41 (or @t77 @t46 @t74 @t80))) % 0.38/0.93 (assume @p105 (forall @t41 (or @t82 @t74 @t46 @t81))) % 0.38/0.93 (assume @p106 (forall @t41 (or @t84 @t46 @t74 @t83))) % 0.38/0.93 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t54))) % 0.38/0.93 (assume @p108 (forall @t41 (or @t79 (not @t80) @t46 @t74))) % 0.38/0.93 (assume @p109 (forall @t41 (or @t86 @t77 @t74 @t46))) % 0.38/0.93 (assume @p110 (forall @t41 (or @t58 @t47 @t74 (tptp.strictorderedP @t87)))) % 0.38/0.93 (assume @p111 (forall @t41 (or @t58 @t47 @t74 (tptp.totalorderedP @t87)))) % 0.38/0.93 (assume @p112 (forall @t41 (or @t77 (not @t78) @t46 @t74))) % 0.38/0.93 (assume @p113 @t90) % 0.38/0.93 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t64 (tptp.singletonP @t40)))) % 0.38/0.93 (assume @p115 (forall @t41 (or @t86 @t88 @t74 @t46))) % 0.38/0.93 (assume @p116 (forall @t41 (or @t93 @t64 @t47 @t54))) % 0.38/0.93 (assume @p117 (forall @t41 (or @t93 @t64 @t47 @t94))) % 0.38/0.93 (assume @p118 (forall @t41 (or @t46 @t64 (= (tptp.app @t48 @t40) @t65)))) % 0.38/0.93 (assume @p119 (forall @t41 (or @t84 @t74 @t46 @t76 @t85))) % 0.38/0.93 (assume @p120 (forall @t41 (or @t47 @t64 @t94 (= (tptp.hd @t63) @t95)))) % 0.38/0.93 (assume @p121 (forall @t41 (or @t98 @t64 @t46 @t96 @t94))) % 0.38/0.93 (assume @p122 (forall @t41 (or @t101 @t64 @t46 @t99 @t94))) % 0.38/0.93 (assume @p123 (forall @t41 (or @t82 (not @t83) @t46 @t74 @t72))) % 0.38/0.93 (assume @p124 (forall @t41 (or @t102 (not (tptp.segmentP @t40 @t2)) @t47 @t64 @t72))) % 0.38/0.93 (assume @p125 (forall @t41 (or @t103 (not (tptp.rearsegP @t40 @t2)) @t47 @t64 @t72))) % 0.38/0.93 (assume @p126 (forall @t41 (or @t104 (not (tptp.frontsegP @t40 @t2)) @t47 @t64 @t72))) % 0.38/0.93 (assume @p127 (forall @t41 (or @t84 @t105 @t46 @t74 @t72))) % 0.38/0.93 (assume @p128 @t108) % 0.38/0.93 (assume @p129 (forall @t41 (or @t104 @t64 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.38/0.93 (assume @p130 (forall @t41 (or @t47 @t64 @t94 (= (tptp.tl @t63) (tptp.app @t109 @t2))))) % 0.38/0.93 (assume @p131 (forall @t41 (or @t98 @t64 @t46 @t110 @t94))) % 0.38/0.93 (assume @p132 (forall @t41 (or @t101 @t64 @t46 @t111 @t94))) % 0.38/0.93 (assume @p133 (forall @t115 (or @t103 @t114 @t64 @t47 (tptp.rearsegP @t113 @t40)))) % 0.38/0.93 (assume @p134 (forall @t115 (or @t104 @t114 @t64 @t47 (tptp.frontsegP @t116 @t40)))) % 0.38/0.93 (assume @p135 (forall @t115 (or @t86 @t114 @t74 @t46 (tptp.memberP @t117 @t2)))) % 0.38/0.93 (assume @p136 (forall @t115 (or @t120 @t47 @t119 @t74 (tptp.memberP @t118 @t40)))) % 0.38/0.93 (assume @p137 (forall @t115 (or @t120 @t114 @t47 @t74 (tptp.memberP @t116 @t40)))) % 0.38/0.93 (assume @p138 (forall @t115 (or @t120 @t47 @t114 @t74 (tptp.memberP @t113 @t40)))) % 0.38/0.93 (assume @p139 (forall @t4 (or @t47 @t67 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.38/0.93 (assume @p140 (forall @t115 (or @t121 @t47 @t64 @t114 (tptp.rearsegP @t112 @t40)))) % 0.38/0.93 (assume @p141 (forall @t115 (or @t121 @t64 @t47 @t114 (tptp.frontsegP @t112 @t2)))) % 0.38/0.93 (assume @p142 (forall @t41 (or @t58 (not @t94) @t64 @t47 @t92))) % 0.38/0.93 (assume @p143 (forall @t115 (or @t79 (not (tptp.gt @t40 @t112)) @t119 @t74 @t46 (tptp.gt @t2 @t112)))) % 0.38/0.93 (assume @p144 (forall @t115 (or @t84 @t123 @t119 @t74 @t46 @t122))) % 0.38/0.93 (assume @p145 (forall @t115 (or @t82 (not (tptp.geq @t40 @t112)) @t119 @t74 @t46 (tptp.geq @t2 @t112)))) % 0.38/0.93 (assume @p146 (forall @t115 (or @t47 @t64 @t114 (= (tptp.app @t124 @t2) (tptp.app @t112 @t63))))) % 0.38/0.93 (assume @p147 (forall @t115 (or (not (= @t91 @t116)) @t64 @t47 @t114 @t125))) % 0.38/0.93 (assume @p148 (forall @t115 (or (not (= @t91 @t124)) @t47 @t64 @t114 @t126))) % 0.38/0.93 (assume @p149 (forall @t115 (or @t102 (not (tptp.segmentP @t40 @t112)) @t114 @t64 @t47 (tptp.segmentP @t2 @t112)))) % 0.38/0.93 (assume @p150 (forall @t115 (or @t103 (not (tptp.rearsegP @t40 @t112)) @t114 @t64 @t47 (tptp.rearsegP @t2 @t112)))) % 0.38/0.93 (assume @p151 (forall @t115 (or @t104 (not (tptp.frontsegP @t40 @t112)) @t114 @t64 @t47 (tptp.frontsegP @t2 @t112)))) % 0.38/0.93 (assume @p152 (forall @t115 (or @t77 @t123 @t119 @t74 @t46 @t122))) % 0.38/0.93 (assume @p153 (forall @t115 (or @t84 (not (tptp.leq @t40 @t112)) @t119 @t74 @t46 (tptp.leq @t2 @t112)))) % 0.38/0.93 (assume @p154 (forall @t115 (or @t46 @t64 @t114 (= (tptp.cons @t2 (tptp.app @t40 @t112)) (tptp.app @t65 @t112))))) % 0.38/0.93 (assume @p155 (forall @t115 (or (not (tptp.memberP @t91 @t112)) @t64 @t47 @t119 @t127 (tptp.memberP @t2 @t112)))) % 0.38/0.93 (assume @p156 (forall @t41 (or (not @t111) (not @t99) @t64 @t46 @t100 @t94))) % 0.38/0.93 (assume @p157 (forall @t41 (or (not @t110) (not @t96) @t64 @t46 @t97 @t94))) % 0.38/0.93 (assume @p158 (forall @t115 (or (not (tptp.memberP @t65 @t112)) @t64 @t46 @t119 @t127 (= @t112 @t2)))) % 0.38/0.93 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.38/0.93 (assume @p160 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.38/0.93 (assume @p161 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.38/0.93 (assume @p162 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.38/0.93 (assume @p163 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.38/0.93 (assume @p164 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.38/0.93 (assume @p165 (forall @t41 (or @t102 @t64 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.38/0.93 (assume @p166 (forall @t41 (or @t120 @t74 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.38/0.93 (assume @p167 (forall @t132 (or @t131 @t119 @t46 @t129 @t64 @t126))) % 0.38/0.93 (assume @p168 (forall @t132 (or @t131 @t119 @t46 @t129 @t64 (= @t128 @t40)))) % 0.38/0.93 (assume @p169 (forall @t132 (or @t102 @t114 @t129 @t64 @t47 (tptp.segmentP (tptp.app (tptp.app @t128 @t2) @t112) @t40)))) % 0.38/0.93 (assume @p170 @t137) % 0.38/0.93 (assume @p171 (forall @t132 (or @t138 @t129 @t64 @t119 @t46 (tptp.frontsegP @t40 @t128)))) % 0.38/0.93 (assume @p172 (forall @t132 (or (not (= @t139 @t128)) @t114 @t47 @t74 @t129 (tptp.memberP @t128 @t40)))) % 0.38/0.93 (assume @p173 (forall @t132 (or @t138 @t129 @t64 @t119 @t46 @t126))) % 0.38/0.93 (assume @p174 (forall @t41 (or (not (= @t55 @t109)) (not (= @t56 @t95)) @t47 @t64 @t94 @t85 @t54))) % 0.38/0.93 (assume @p175 (forall @t132 (or @t104 (not (= @t112 @t128)) @t64 @t47 @t140 @t119 (tptp.frontsegP @t118 (tptp.cons @t128 @t40))))) % 0.38/0.93 (assume @p176 (forall @t143 (or (not (= (tptp.app @t139 (tptp.cons @t40 @t128)) @t141)) @t129 @t114 @t47 @t74 (not (tptp.duplicatefreeP @t141)) @t142))) % 0.38/0.93 (assume @p177 (forall @t143 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t130)) @t141)) @t129 @t47 @t119 @t74 (not (tptp.equalelemsP @t141)) @t142 @t125))) % 0.38/0.93 (assume @p178 (forall @t148 (or @t147 @t142 @t114 @t47 @t140 @t74 (not (tptp.strictorderedP @t145)) @t146 @t144))) % 0.38/0.93 (assume @p179 (forall @t148 (or @t147 @t142 @t114 @t47 @t140 @t74 (not (tptp.totalorderedP @t145)) @t146 @t149))) % 0.38/0.93 (assume @p180 (forall @t148 (or @t147 @t142 @t114 @t47 @t140 @t74 (not (tptp.strictorderP @t145)) @t146 @t144 (tptp.lt @t128 @t40)))) % 0.38/0.93 (assume @p181 (forall @t148 (or @t147 @t142 @t114 @t47 @t140 @t74 (not (tptp.totalorderP @t145)) @t146 @t149 (tptp.leq @t128 @t40)))) % 0.38/0.93 (assume @p182 (forall @t148 (or @t84 @t105 (not (= (tptp.app (tptp.app @t112 (tptp.cons @t2 @t128)) (tptp.cons @t40 @t141)) @t145)) @t142 @t129 @t114 @t74 @t46 (not (tptp.cyclefreeP @t145)) @t146))) % 0.38/0.93 (assume @p183 @t150) % 0.38/0.93 (assume @p184 @t151) % 0.38/0.93 (assume @p185 @t152) % 0.38/0.93 (assume @p186 @t153) % 0.38/0.93 (assume @p187 @t154) % 0.38/0.93 (assume @p188 @t155) % 0.38/0.93 (assume @p189 (or @t157 @t156)) % 0.38/0.93 (assume @p190 (or @t157 @t161 @t159)) % 0.38/0.93 (assume @p191 (or @t163 @t156)) % 0.38/0.93 (assume @p192 (or @t163 @t161 @t159)) % 0.38/0.93 (assume @p193 (or @t165 @t164)) % 0.38/0.93 (assume @p194 (or @t165 @t166)) % 0.38/0.93 (assume @p195 (or @t167 @t164)) % 0.38/0.93 (assume @p196 (or @t167 @t166)) % 0.38/0.93 (step @p197 :rule aci_norm :args ((= (or false @t114 @t47 @t64 @t169 @t168) (or @t114 @t47 @t64 @t169 @t168)))) % 0.38/0.93 (step @p198 :rule refl :args (@t168)) % 0.38/0.93 (step @p199 :rule refl :args (@t169)) % 0.38/0.93 (step @p200 :rule refl :args (@t64)) % 0.38/0.93 (step @p201 :rule refl :args (@t47)) % 0.38/0.93 (step @p202 :rule refl :args (@t114)) % 0.38/0.93 (step @p203 :rule evaluate :args ((not true))) % 0.38/0.93 (step @p204 :rule eq-refl :args (@t134)) % 0.38/0.93 (step @p205 :rule cong :premises (@p204) :args (@t170)) % 0.38/0.93 (step @p206 :rule trans :premises (@p205 @p203)) % 0.38/0.93 (step @p207 :rule nary_cong :premises (@p206 @p202 @p201 @p200 @p199 @p198) :args (@t171)) % 0.38/0.93 (step @p208 :rule trans :premises (@p207 @p197)) % 0.38/0.93 (step @p209 :rule cong :premises (@p208) :args ((forall @t115 @t171))) % 0.38/0.93 (step @p210 :rule quant-var-elim-eq :args ((= (forall @t174 @t173) @t171))) % 0.38/0.93 (step @p211 :rule aci_norm :args ((= @t175 @t173))) % 0.38/0.93 (step @p212 :rule cong :premises (@p211) :args (@t176)) % 0.38/0.93 (step @p213 :rule trans :premises (@p212 @p210)) % 0.38/0.93 (step @p214 :rule cong :premises (@p213) :args (@t177)) % 0.38/0.93 (step @p215 :rule quant-merge-prenex :args ((= @t177 (forall @t132 @t175)))) % 0.38/0.93 (step @p216 :rule symm :premises (@p215)) % 0.38/0.93 (step @p217 :rule trans :premises (@p216 @p214)) % 0.38/0.93 (step @p218 :rule trans :premises (@p217 @p209)) % 0.38/0.93 (step @p219 :rule refl :args (@t133)) % 0.38/0.93 (step @p220 :rule refl :args (@t129)) % 0.38/0.93 (step @p221 :rule eq-symm :args (@t134 @t128)) % 0.38/0.93 (step @p222 :rule cong :premises (@p221) :args (@t135)) % 0.38/0.93 (step @p223 :rule nary_cong :premises (@p222 @p202 @p201 @p200 @p220 @p219) :args (@t136)) % 0.38/0.93 (step @p224 :rule cong :premises (@p223) :args (@t137)) % 0.38/0.93 (step @p225 :rule trans :premises (@p224 @p218)) % 0.38/0.93 (step @p226 :rule eq_resolve :premises (@p170 @p225)) % 0.38/0.93 (step @p227 :rule instantiate :premises (@p226) :args ((@list @t178 tptp.sk3 tptp.nil))) % 0.38/0.93 (step @p228 :rule instantiate :premises (@p50) :args (@t179)) % 0.38/0.93 (step @p229 :rule eq-symm :args (@t106 @t2)) % 0.38/0.93 (step @p230 :rule refl :args (@t103)) % 0.38/0.93 (step @p231 :rule nary_cong :premises (@p230 @p200 @p201 @p229) :args (@t107)) % 0.38/0.93 (step @p232 :rule cong :premises (@p231) :args (@t108)) % 0.38/0.93 (step @p233 :rule eq_resolve :premises (@p128 @p232)) % 0.38/0.93 (step @p234 :rule instantiate :premises (@p233) :args (@t179)) % 0.38/0.93 (step @p235 :rule reordering :premises (@p196) :args ((or @t166 @t167))) % 0.38/0.93 (step @p236 :rule aci_norm :args ((= (or false @t181 @t180) (or @t181 @t180)))) % 0.38/0.93 (step @p237 :rule refl :args (@t180)) % 0.38/0.93 (step @p238 :rule refl :args (@t181)) % 0.38/0.93 (step @p239 :rule eq-refl :args (tptp.nil)) % 0.38/0.93 (step @p240 :rule cong :premises (@p239) :args (@t182)) % 0.38/0.93 (step @p241 :rule trans :premises (@p240 @p203)) % 0.38/0.93 (step @p242 :rule nary_cong :premises (@p241 @p238 @p237) :args (@t183)) % 0.38/0.93 (step @p243 :rule trans :premises (@p242 @p236)) % 0.38/0.93 (step @p244 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t58 @t47 @t59)) @t183))) % 0.38/0.93 (step @p245 :rule refl :args (@t59)) % 0.38/0.93 (step @p246 :rule refl :args (@t47)) % 0.38/0.93 (step @p247 :rule refl :args (@t58)) % 0.38/0.93 (step @p248 :rule eq-symm :args (tptp.nil @t2)) % 0.38/0.93 (step @p249 :rule cong :premises (@p248) :args (@t58)) % 0.38/0.93 (step @p250 :rule nary_cong :premises (@p249 @p247 @p246 @p245) :args (@t184)) % 0.38/0.93 (step @p251 :rule aci_norm :args ((= @t60 @t184))) % 0.38/0.93 (step @p252 :rule trans :premises (@p251 @p250)) % 0.38/0.93 (step @p253 :rule cong :premises (@p252) :args (@t61)) % 0.38/0.93 (step @p254 :rule trans :premises (@p253 @p244)) % 0.38/0.93 (step @p255 :rule trans :premises (@p254 @p243)) % 0.38/0.93 (step @p256 :rule eq_resolve :premises (@p79 @p255)) % 0.38/0.93 (step @p257 :rule chain_m_resolution :premises (@p256 @p8) :args (@t180 (@list false) (@list @t1))) % 0.38/0.93 (step @p258 :rule bool-double-not-elim :args (@t166)) % 0.38/0.93 (step @p259 :rule refl :args (@t185)) % 0.38/0.93 (step @p260 :rule refl :args (@t186)) % 0.38/0.93 (step @p261 :rule refl :args (@t187)) % 0.38/0.93 (step @p262 :rule refl :args (@t188)) % 0.38/0.93 (step @p263 :rule nary_cong :premises (@p262 @p261 @p260 @p259 @p258) :args ((or @t188 @t187 @t186 @t185 (not @t189)))) % 0.38/0.93 (assume-push @p621 @t189) % 0.38/0.93 (assume-push @p622 @t180) % 0.38/0.93 (assume-push @p623 @t167) % 0.38/0.93 (assume-push @p624 @t155) % 0.38/0.93 (assume-push @p625 @t165) % 0.38/0.93 (step @p269 :rule evaluate :args (@t190)) % 0.38/0.93 (step @p270 :rule true_intro :premises (@p257)) % 0.38/0.93 (step @p271 :rule symm :premises (@p623)) % 0.38/0.93 (step @p272 :rule trans :premises (@p188 @p271)) % 0.38/0.93 (step @p273 :rule refl :args (tptp.nil)) % 0.38/0.93 (step @p274 :rule cong :premises (@p273 @p272) :args (@t191)) % 0.38/0.93 (step @p275 :rule symm :premises (@p188)) % 0.38/0.93 (step @p276 :rule symm :premises (@p625)) % 0.38/0.93 (step @p277 :rule cong :premises (@p276 @p275) :args (@t166)) % 0.38/0.93 (step @p278 :rule false_intro :premises (@p621)) % 0.38/0.93 (step @p279 :rule symm :premises (@p278)) % 0.38/0.93 (step @p280 :rule trans :premises (@p279 @p277 @p274 @p270)) % 0.38/0.93 (step @p281 false :rule eq_resolve :premises (@p280 @p269)) % 0.38/0.93 (step-pop @p626 :rule scope :premises (@p281)) % 0.38/0.93 (step-pop @p627 :rule scope :premises (@p626)) % 0.38/0.93 (step-pop @p628 :rule scope :premises (@p627)) % 0.38/0.93 (step-pop @p629 :rule scope :premises (@p628)) % 0.38/0.93 (step-pop @p630 :rule scope :premises (@p629)) % 0.38/0.93 (step @p282 :rule process_scope :premises (@p630) :args (false)) % 0.38/0.93 (assume-push @p631 @t155) % 0.38/0.93 (assume-push @p632 @t165) % 0.38/0.93 (assume-push @p633 @t167) % 0.38/0.93 (assume-push @p634 @t180) % 0.38/0.93 (assume-push @p635 @t189) % 0.38/0.93 (step @p293 :rule and_intro :premises (@p635 @p257 @p633 @p188 @p632)) % 0.38/0.93 (step-pop @p636 :rule scope :premises (@p293)) % 0.38/0.93 (step-pop @p637 :rule scope :premises (@p636)) % 0.38/0.93 (step-pop @p638 :rule scope :premises (@p637)) % 0.38/0.93 (step-pop @p639 :rule scope :premises (@p638)) % 0.38/0.93 (step-pop @p640 :rule scope :premises (@p639)) % 0.38/0.93 (step @p294 :rule process_scope :premises (@p640) :args (@t192)) % 0.38/0.93 (step @p300 :rule implies_elim :premises (@p294)) % 0.38/0.93 (step @p301 :rule resolution :premises (@p300 @p282) :args (true @t192)) % 0.38/0.93 (step @p302 :rule not_and :premises (@p301)) % 0.38/0.93 (step @p303 :rule eq_resolve :premises (@p302 @p263)) % 0.38/0.93 (step @p304 :rule reordering :premises (@p303) :args ((or @t166 @t185 @t188 @t187 @t186))) % 0.38/0.93 (step @p305 :rule chain_m_resolution :premises (@p304 @p188 @p257 @p235 @p194) :args (@t166 @t193 (@list @t155 @t180 @t167 @t165))) % 0.38/0.93 (step @p306 :rule cnf_or_pos :args (@t198)) % 0.38/0.93 (step @p307 :rule reordering :premises (@p306) :args ((or @t197 @t196 @t189 @t195 (not @t198)))) % 0.38/0.93 (step @p308 :rule chain_m_resolution :premises (@p307 @p185 @p186 @p305 @p234) :args (@t195 @t193 (@list @t152 @t153 @t166 @t198))) % 0.38/0.93 (step @p309 :rule eq-symm :args (@t51 @t2)) % 0.38/0.93 (step @p310 :rule nary_cong :premises (@p201 @p309) :args (@t52)) % 0.38/0.93 (step @p311 :rule cong :premises (@p310) :args (@t53)) % 0.38/0.93 (step @p312 :rule eq_resolve :premises (@p73 @p311)) % 0.38/0.93 (step @p313 :rule instantiate :premises (@p312) :args (@t199)) % 0.38/0.93 (step @p314 :rule cnf_or_pos :args (@t202)) % 0.38/0.93 (step @p315 :rule reordering :premises (@p314) :args ((or @t201 @t200 (not @t202)))) % 0.38/0.93 (step @p316 :rule chain_m_resolution :premises (@p315 @p184 @p313) :args (@t200 @t203 (@list @t151 @t202))) % 0.38/0.93 (assume-push @p641 @t155) % 0.38/0.93 (assume-push @p642 @t167) % 0.38/0.93 (assume-push @p643 @t155) % 0.38/0.93 (assume-push @p644 @t167) % 0.38/0.93 (step @p275 :rule symm :premises (@p188)) % 0.38/0.93 (step @p321 :rule trans :premises (@p642 @p275)) % 0.38/0.93 (step-pop @p645 :rule scope :premises (@p321)) % 0.38/0.93 (step-pop @p646 :rule scope :premises (@p645)) % 0.38/0.93 (step @p322 :rule process_scope :premises (@p646) :args (@t162)) % 0.38/0.93 (step @p325 :rule and_intro :premises (@p188 @p642)) % 0.38/0.93 (step @p326 :rule modus_ponens :premises (@p325 @p322)) % 0.38/0.93 (step-pop @p647 :rule scope 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:rule symm :premises (@p187)) % 0.38/0.93 (step @p595 :rule symm :premises (@p740)) % 0.38/0.93 (step @p596 :rule trans :premises (@p595 @p558)) % 0.38/0.93 (step @p597 :rule cong :premises (@p596 @p273) :args (@t234)) % 0.38/0.93 (step @p598 :rule trans :premises (@p597 @p557)) % 0.38/0.93 (step @p599 :rule cong :premises (@p598) :args (@t240)) % 0.38/0.93 (step @p600 :rule trans :premises (@p599 @p594)) % 0.38/0.93 (step @p601 :rule true_elim :premises (@p600)) % 0.38/0.93 (step-pop @p745 :rule scope :premises (@p601)) % 0.38/0.93 (step-pop @p746 :rule scope :premises (@p745)) % 0.38/0.93 (step-pop @p747 :rule scope :premises (@p746)) % 0.38/0.93 (step-pop @p748 :rule scope :premises (@p747)) % 0.38/0.93 (step @p602 :rule process_scope :premises (@p748) :args (@t240)) % 0.38/0.93 (step @p607 :rule and_intro :premises (@p184 @p316 @p187 @p740)) % 0.38/0.93 (step @p608 :rule modus_ponens :premises (@p607 @p602)) % 0.38/0.93 (step-pop @p749 :rule scope :premises (@p608)) % 0.38/0.93 (step-pop @p750 :rule scope :premises (@p749)) % 0.38/0.93 (step-pop @p751 :rule scope :premises (@p750)) % 0.38/0.93 (step-pop @p752 :rule scope :premises (@p751)) % 0.38/0.93 (step @p609 :rule process_scope :premises (@p752) :args (@t240)) % 0.38/0.93 (step @p614 :rule implies_elim :premises (@p609)) % 0.38/0.93 (step @p615 :rule cnf_and_neg :args (@t241)) % 0.38/0.93 (step @p616 :rule resolution :premises (@p615 @p614) :args (true @t241)) % 0.38/0.93 (step @p617 :rule chain_m_resolution :premises (@p616 @p184 @p187 @p316 @p308) :args (@t240 @t193 (@list @t151 @t154 @t200 @t195))) % 0.38/0.93 (step @p618 :rule cnf_or_pos :args (@t245)) % 0.38/0.93 (step @p619 :rule reordering :premises (@p618) :args ((or @t181 @t197 @t244 @t242 @t235 (not @t245)))) % 0.38/0.93 (step @p620 false :rule chain_m_resolution :premises (@p619 @p617 @p585 @p228 @p227 @p185 @p8) :args (false (@list false true false false false false) (@list @t240 @t235 @t243 @t245 @t152 @t1))) % 0.38/0.93 ) % 0.38/0.93 % SZS output end Proof % 0.38/0.93 % cvc5 exiting %------------------------------------------------------------------------------