%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC016-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:57:43 AM UTC 2026 % Result : Unsatisfiable 0.24s 0.43s % Output : Proof 0.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC016-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 14:09:45 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.24/0.43 % SZS status Unsatisfiable % 0.24/0.43 % SZS output start Proof % 0.24/0.44 ( % 0.24/0.44 (declare-sort $$unsorted 0) % 0.24/0.44 (declare-const tptp.sk5 $$unsorted) % 0.24/0.44 (declare-const tptp.sk4 $$unsorted) % 0.24/0.44 (declare-const tptp.sk2 $$unsorted) % 0.24/0.44 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.nil $$unsorted) % 0.24/0.44 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.sk1 $$unsorted) % 0.24/0.44 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skac2 $$unsorted) % 0.24/0.44 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.sk3 $$unsorted) % 0.24/0.44 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skac3 $$unsorted) % 0.24/0.44 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.44 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.24/0.44 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.24/0.44 (define @t1 () (@var "U" $$unsorted)) % 0.24/0.44 (define @t2 () (tptp.skaf83 @t1)) % 0.24/0.44 (define @t3 () (@list @t1)) % 0.24/0.44 (define @t4 () (tptp.skaf82 @t1)) % 0.24/0.44 (define @t5 () (tptp.skaf81 @t1)) % 0.24/0.44 (define @t6 () (tptp.skaf80 @t1)) % 0.24/0.44 (define @t7 () (tptp.skaf79 @t1)) % 0.24/0.44 (define @t8 () (tptp.skaf78 @t1)) % 0.24/0.44 (define @t9 () (tptp.skaf77 @t1)) % 0.24/0.44 (define @t10 () (tptp.skaf76 @t1)) % 0.24/0.44 (define @t11 () (tptp.skaf75 @t1)) % 0.24/0.44 (define @t12 () (tptp.skaf74 @t1)) % 0.24/0.44 (define @t13 () (tptp.skaf73 @t1)) % 0.24/0.44 (define @t14 () (tptp.skaf72 @t1)) % 0.24/0.44 (define @t15 () (tptp.skaf71 @t1)) % 0.24/0.44 (define @t16 () (tptp.skaf70 @t1)) % 0.24/0.44 (define @t17 () (tptp.skaf69 @t1)) % 0.24/0.44 (define @t18 () (tptp.skaf68 @t1)) % 0.24/0.44 (define @t19 () (tptp.skaf67 @t1)) % 0.24/0.44 (define @t20 () (tptp.skaf66 @t1)) % 0.24/0.44 (define @t21 () (tptp.skaf65 @t1)) % 0.24/0.44 (define @t22 () (tptp.skaf64 @t1)) % 0.24/0.44 (define @t23 () (tptp.skaf63 @t1)) % 0.24/0.44 (define @t24 () (tptp.skaf62 @t1)) % 0.24/0.44 (define @t25 () (tptp.skaf61 @t1)) % 0.24/0.44 (define @t26 () (tptp.skaf60 @t1)) % 0.24/0.44 (define @t27 () (tptp.skaf59 @t1)) % 0.24/0.44 (define @t28 () (tptp.skaf58 @t1)) % 0.24/0.44 (define @t29 () (tptp.skaf57 @t1)) % 0.24/0.44 (define @t30 () (tptp.skaf56 @t1)) % 0.24/0.44 (define @t31 () (tptp.skaf55 @t1)) % 0.24/0.44 (define @t32 () (tptp.skaf54 @t1)) % 0.24/0.44 (define @t33 () (tptp.skaf53 @t1)) % 0.24/0.44 (define @t34 () (tptp.skaf52 @t1)) % 0.24/0.44 (define @t35 () (tptp.skaf51 @t1)) % 0.24/0.44 (define @t36 () (tptp.skaf50 @t1)) % 0.24/0.44 (define @t37 () (tptp.skaf49 @t1)) % 0.24/0.44 (define @t38 () (tptp.skaf44 @t1)) % 0.24/0.44 (define @t39 () (@var "V" $$unsorted)) % 0.24/0.44 (define @t40 () (@list @t1 @t39)) % 0.24/0.44 (define @t41 () (tptp.skaf47 @t1 @t39)) % 0.24/0.44 (define @t42 () (tptp.skaf46 @t1 @t39)) % 0.24/0.44 (define @t43 () (tptp.skaf45 @t1 @t39)) % 0.24/0.44 (define @t44 () (tptp.skaf42 @t1 @t39)) % 0.24/0.44 (define @t45 () (not (tptp.ssItem @t1))) % 0.24/0.44 (define @t46 () (not (tptp.ssList @t1))) % 0.24/0.44 (define @t47 () (tptp.cons @t1 tptp.nil)) % 0.24/0.44 (define @t48 () (tptp.ssItem @t39)) % 0.24/0.44 (define @t49 () (tptp.duplicatefreeP @t1)) % 0.24/0.44 (define @t50 () (= tptp.nil @t1)) % 0.24/0.44 (define @t51 () (tptp.tl @t1)) % 0.24/0.44 (define @t52 () (tptp.hd @t1)) % 0.24/0.44 (define @t53 () (tptp.segmentP tptp.nil @t1)) % 0.24/0.44 (define @t54 () (not @t50)) % 0.24/0.44 (define @t55 () (tptp.rearsegP tptp.nil @t1)) % 0.24/0.44 (define @t56 () (tptp.frontsegP tptp.nil @t1)) % 0.24/0.44 (define @t57 () (tptp.app @t39 @t1)) % 0.24/0.44 (define @t58 () (not (tptp.ssList @t39))) % 0.24/0.44 (define @t59 () (tptp.cons @t1 @t39)) % 0.24/0.44 (define @t60 () (tptp.cyclefreeP @t1)) % 0.24/0.44 (define @t61 () (tptp.equalelemsP @t1)) % 0.24/0.44 (define @t62 () (tptp.strictorderedP @t1)) % 0.24/0.44 (define @t63 () (tptp.totalorderedP @t1)) % 0.24/0.44 (define @t64 () (tptp.strictorderP @t1)) % 0.24/0.44 (define @t65 () (tptp.totalorderP @t1)) % 0.24/0.44 (define @t66 () (= @t39 @t1)) % 0.24/0.44 (define @t67 () (tptp.neq @t39 @t1)) % 0.24/0.44 (define @t68 () (not @t48)) % 0.24/0.44 (define @t69 () (tptp.leq @t1 @t39)) % 0.24/0.44 (define @t70 () (tptp.lt @t1 @t39)) % 0.24/0.44 (define @t71 () (not @t70)) % 0.24/0.44 (define @t72 () (tptp.lt @t39 @t1)) % 0.24/0.44 (define @t73 () (not (tptp.gt @t1 @t39))) % 0.24/0.44 (define @t74 () (tptp.gt @t39 @t1)) % 0.24/0.44 (define @t75 () (tptp.leq @t39 @t1)) % 0.24/0.44 (define @t76 () (not (tptp.geq @t1 @t39))) % 0.24/0.44 (define @t77 () (tptp.geq @t39 @t1)) % 0.24/0.44 (define @t78 () (not @t69)) % 0.24/0.44 (define @t79 () (= @t1 @t39)) % 0.24/0.44 (define @t80 () (not @t79)) % 0.24/0.44 (define @t81 () (tptp.cons @t39 @t1)) % 0.24/0.44 (define @t82 () (not (tptp.neq @t1 @t39))) % 0.24/0.44 (define @t83 () (or @t80 @t82 @t58 @t46)) % 0.24/0.44 (define @t84 () (forall @t40 @t83)) % 0.24/0.44 (define @t85 () (tptp.app @t1 @t39)) % 0.24/0.44 (define @t86 () (= @t85 tptp.nil)) % 0.24/0.44 (define @t87 () (not @t86)) % 0.24/0.44 (define @t88 () (= tptp.nil @t39)) % 0.24/0.44 (define @t89 () (tptp.hd @t39)) % 0.24/0.44 (define @t90 () (tptp.strictorderedP @t39)) % 0.24/0.44 (define @t91 () (tptp.strictorderedP @t59)) % 0.24/0.44 (define @t92 () (not @t91)) % 0.24/0.44 (define @t93 () (tptp.totalorderedP @t39)) % 0.24/0.44 (define @t94 () (tptp.totalorderedP @t59)) % 0.24/0.44 (define @t95 () (not @t94)) % 0.24/0.44 (define @t96 () (not (tptp.segmentP @t1 @t39))) % 0.24/0.44 (define @t97 () (not (tptp.rearsegP @t1 @t39))) % 0.24/0.44 (define @t98 () (not (tptp.frontsegP @t1 @t39))) % 0.24/0.44 (define @t99 () (not @t75)) % 0.24/0.44 (define @t100 () (tptp.tl @t39)) % 0.24/0.44 (define @t101 () (tptp.lt @t1 @t89)) % 0.24/0.44 (define @t102 () (tptp.leq @t1 @t89)) % 0.24/0.44 (define @t103 () (@var "W" $$unsorted)) % 0.24/0.44 (define @t104 () (tptp.app @t103 @t1)) % 0.24/0.44 (define @t105 () (not (tptp.ssList @t103))) % 0.24/0.44 (define @t106 () (@list @t1 @t39 @t103)) % 0.24/0.44 (define @t107 () (tptp.app @t1 @t103)) % 0.24/0.44 (define @t108 () (tptp.cons @t39 @t103)) % 0.24/0.44 (define @t109 () (tptp.cons @t103 @t1)) % 0.24/0.44 (define @t110 () (not (tptp.ssItem @t103))) % 0.24/0.44 (define @t111 () (not (tptp.memberP @t1 @t39))) % 0.24/0.44 (define @t112 () (not (= @t85 @t103))) % 0.24/0.44 (define @t113 () (tptp.lt @t1 @t103)) % 0.24/0.44 (define @t114 () (not (tptp.lt @t39 @t103))) % 0.24/0.44 (define @t115 () (tptp.app @t103 @t39)) % 0.24/0.44 (define @t116 () (= @t39 @t103)) % 0.24/0.44 (define @t117 () (= @t1 @t103)) % 0.24/0.44 (define @t118 () (tptp.memberP @t39 @t103)) % 0.24/0.44 (define @t119 () (@var "X" $$unsorted)) % 0.24/0.44 (define @t120 () (not (tptp.ssList @t119))) % 0.24/0.44 (define @t121 () (tptp.cons @t103 @t119)) % 0.24/0.44 (define @t122 () (not (= @t59 @t121))) % 0.24/0.44 (define @t123 () (@list @t1 @t39 @t103 @t119)) % 0.24/0.44 (define @t124 () (not (tptp.frontsegP @t59 @t121))) % 0.24/0.44 (define @t125 () (tptp.app @t1 @t108)) % 0.24/0.44 (define @t126 () (not (tptp.ssItem @t119))) % 0.24/0.44 (define @t127 () (@var "Y" $$unsorted)) % 0.24/0.44 (define @t128 () (not (tptp.ssList @t127))) % 0.24/0.44 (define @t129 () (@list @t1 @t39 @t103 @t119 @t127)) % 0.24/0.44 (define @t130 () (tptp.lt @t39 @t119)) % 0.24/0.44 (define @t131 () (@var "Z" $$unsorted)) % 0.24/0.44 (define @t132 () (not (tptp.ssList @t131))) % 0.24/0.44 (define @t133 () (not (= (tptp.app @t125 (tptp.cons @t119 @t127)) @t131))) % 0.24/0.44 (define @t134 () (@list @t1 @t39 @t103 @t119 @t127 @t131)) % 0.24/0.44 (define @t135 () (tptp.leq @t39 @t119)) % 0.24/0.44 (define @t136 () (tptp.ssList tptp.sk2)) % 0.24/0.44 (define @t137 () (= tptp.sk2 tptp.sk4)) % 0.24/0.44 (define @t138 () (= tptp.sk1 tptp.sk3)) % 0.24/0.44 (define @t139 () (= tptp.nil tptp.sk4)) % 0.24/0.44 (define @t140 () (= tptp.nil tptp.sk3)) % 0.24/0.44 (define @t141 () (tptp.neq tptp.sk4 tptp.nil)) % 0.24/0.44 (define @t142 () (not @t141)) % 0.24/0.44 (define @t143 () (tptp.ssList tptp.sk5)) % 0.24/0.44 (define @t144 () (tptp.neq tptp.sk5 tptp.nil)) % 0.24/0.44 (define @t145 () (tptp.frontsegP tptp.sk4 tptp.sk5)) % 0.24/0.44 (define @t146 () (tptp.frontsegP tptp.sk3 tptp.sk5)) % 0.24/0.44 (define @t147 () (tptp.neq tptp.sk2 tptp.nil)) % 0.24/0.44 (define @t148 () (= tptp.nil tptp.sk2)) % 0.24/0.44 (define @t149 () (@var "A" $$unsorted)) % 0.24/0.44 (define @t150 () (not (tptp.frontsegP tptp.sk1 @t149))) % 0.24/0.44 (define @t151 () (not (tptp.frontsegP tptp.sk2 @t149))) % 0.24/0.44 (define @t152 () (not (tptp.neq @t149 tptp.nil))) % 0.24/0.44 (define @t153 () (not (tptp.ssList @t149))) % 0.24/0.44 (define @t154 () (or @t148 @t153 @t152 @t151 @t150)) % 0.24/0.44 (define @t155 () (@list @t149)) % 0.24/0.44 (define @t156 () (forall @t155 @t154)) % 0.24/0.44 (define @t157 () (= tptp.nil tptp.sk1)) % 0.24/0.44 (define @t158 () (not @t157)) % 0.24/0.44 (define @t159 () (and @t137 @t148)) % 0.24/0.44 (define @t160 () (not @t148)) % 0.24/0.44 (define @t161 () (not @t137)) % 0.24/0.44 (define @t162 () (not (tptp.neq @t39 @t39))) % 0.24/0.44 (define @t163 () (not (= @t39 @t39))) % 0.24/0.44 (define @t164 () (or @t163 @t162 @t58 @t58)) % 0.24/0.44 (define @t165 () (@list @t39)) % 0.24/0.44 (define @t166 () (or @t80 @t80 @t82 @t58 @t46)) % 0.24/0.44 (define @t167 () (forall @t3 @t83)) % 0.24/0.44 (define @t168 () (forall @t165 @t167)) % 0.24/0.44 (define @t169 () (forall (@list @t39 @t1) @t83)) % 0.24/0.44 (define @t170 () (not @t136)) % 0.24/0.44 (define @t171 () (tptp.neq tptp.sk2 tptp.sk2)) % 0.24/0.44 (define @t172 () (not @t171)) % 0.24/0.44 (define @t173 () (or @t172 @t170)) % 0.24/0.44 (define @t174 () (@list false false)) % 0.24/0.44 (define @t175 () (not @t147)) % 0.24/0.44 (define @t176 () (and @t137 @t148 @t172)) % 0.24/0.44 (define @t177 () (and @t138 @t140)) % 0.24/0.44 (define @t178 () (@list true)) % 0.24/0.44 (define @t179 () (@list @t148)) % 0.24/0.44 (define @t180 () (and @t137 @t147)) % 0.24/0.44 (define @t181 () (@list false)) % 0.24/0.44 (define @t182 () (@list @t141)) % 0.24/0.44 (define @t183 () (or @t153 @t152 @t151 @t150)) % 0.24/0.44 (define @t184 () (forall @t155 @t183)) % 0.24/0.44 (define @t185 () (or @t148 @t183)) % 0.24/0.44 (define @t186 () (tptp.frontsegP tptp.sk1 tptp.sk5)) % 0.24/0.44 (define @t187 () (not @t186)) % 0.24/0.44 (define @t188 () (tptp.frontsegP tptp.sk2 tptp.sk5)) % 0.24/0.44 (define @t189 () (not @t188)) % 0.24/0.44 (define @t190 () (not @t144)) % 0.24/0.44 (define @t191 () (not @t143)) % 0.24/0.44 (define @t192 () (or @t191 @t190 @t189 @t187)) % 0.24/0.44 (define @t193 () (and @t137 @t145)) % 0.24/0.44 (define @t194 () (and @t138 @t146)) % 0.24/0.44 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.24/0.44 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.24/0.44 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.24/0.44 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.24/0.44 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.24/0.44 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.24/0.44 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.24/0.44 (assume @p8 (tptp.ssList tptp.nil)) % 0.24/0.44 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.24/0.44 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.24/0.44 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.24/0.44 (assume @p12 (forall @t3 (tptp.ssItem @t2))) % 0.24/0.44 (assume @p13 (forall @t3 (tptp.ssList @t4))) % 0.24/0.44 (assume @p14 (forall @t3 (tptp.ssList @t5))) % 0.24/0.44 (assume @p15 (forall @t3 (tptp.ssList @t6))) % 0.24/0.44 (assume @p16 (forall @t3 (tptp.ssItem @t7))) % 0.24/0.44 (assume @p17 (forall @t3 (tptp.ssItem @t8))) % 0.24/0.44 (assume @p18 (forall @t3 (tptp.ssList @t9))) % 0.24/0.44 (assume @p19 (forall @t3 (tptp.ssList @t10))) % 0.24/0.44 (assume @p20 (forall @t3 (tptp.ssList @t11))) % 0.24/0.44 (assume @p21 (forall @t3 (tptp.ssItem @t12))) % 0.24/0.44 (assume @p22 (forall @t3 (tptp.ssList @t13))) % 0.24/0.44 (assume @p23 (forall @t3 (tptp.ssList @t14))) % 0.24/0.44 (assume @p24 (forall @t3 (tptp.ssList @t15))) % 0.24/0.44 (assume @p25 (forall @t3 (tptp.ssItem @t16))) % 0.24/0.44 (assume @p26 (forall @t3 (tptp.ssItem @t17))) % 0.24/0.44 (assume @p27 (forall @t3 (tptp.ssList @t18))) % 0.24/0.44 (assume @p28 (forall @t3 (tptp.ssList @t19))) % 0.24/0.44 (assume @p29 (forall @t3 (tptp.ssList @t20))) % 0.24/0.44 (assume @p30 (forall @t3 (tptp.ssItem @t21))) % 0.24/0.44 (assume @p31 (forall @t3 (tptp.ssItem @t22))) % 0.24/0.44 (assume @p32 (forall @t3 (tptp.ssList @t23))) % 0.24/0.44 (assume @p33 (forall @t3 (tptp.ssList @t24))) % 0.24/0.44 (assume @p34 (forall @t3 (tptp.ssList @t25))) % 0.24/0.44 (assume @p35 (forall @t3 (tptp.ssItem @t26))) % 0.24/0.44 (assume @p36 (forall @t3 (tptp.ssItem @t27))) % 0.24/0.44 (assume @p37 (forall @t3 (tptp.ssList @t28))) % 0.24/0.44 (assume @p38 (forall @t3 (tptp.ssList @t29))) % 0.24/0.44 (assume @p39 (forall @t3 (tptp.ssList @t30))) % 0.24/0.44 (assume @p40 (forall @t3 (tptp.ssItem @t31))) % 0.24/0.44 (assume @p41 (forall @t3 (tptp.ssItem @t32))) % 0.24/0.44 (assume @p42 (forall @t3 (tptp.ssList @t33))) % 0.24/0.44 (assume @p43 (forall @t3 (tptp.ssList @t34))) % 0.24/0.44 (assume @p44 (forall @t3 (tptp.ssList @t35))) % 0.24/0.44 (assume @p45 (forall @t3 (tptp.ssItem @t36))) % 0.24/0.44 (assume @p46 (forall @t3 (tptp.ssItem @t37))) % 0.24/0.44 (assume @p47 (forall @t3 (tptp.ssItem @t38))) % 0.24/0.44 (assume @p48 (forall @t40 (tptp.ssList (tptp.skaf48 @t1 @t39)))) % 0.24/0.44 (assume @p49 (forall @t40 (tptp.ssList @t41))) % 0.24/0.44 (assume @p50 (forall @t40 (tptp.ssList @t42))) % 0.24/0.44 (assume @p51 (forall @t40 (tptp.ssList @t43))) % 0.24/0.44 (assume @p52 (forall @t40 (tptp.ssList (tptp.skaf43 @t1 @t39)))) % 0.24/0.44 (assume @p53 (forall @t40 (tptp.ssList @t44))) % 0.24/0.44 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.24/0.44 (assume @p55 (forall @t3 (or @t45 (tptp.geq @t1 @t1)))) % 0.24/0.44 (assume @p56 (forall @t3 (or @t46 (tptp.segmentP @t1 tptp.nil)))) % 0.24/0.44 (assume @p57 (forall @t3 (or @t46 (tptp.segmentP @t1 @t1)))) % 0.24/0.44 (assume @p58 (forall @t3 (or @t46 (tptp.rearsegP @t1 tptp.nil)))) % 0.24/0.44 (assume @p59 (forall @t3 (or @t46 (tptp.rearsegP @t1 @t1)))) % 0.24/0.44 (assume @p60 (forall @t3 (or @t46 (tptp.frontsegP @t1 tptp.nil)))) % 0.24/0.44 (assume @p61 (forall @t3 (or @t46 (tptp.frontsegP @t1 @t1)))) % 0.24/0.44 (assume @p62 (forall @t3 (or @t45 (tptp.leq @t1 @t1)))) % 0.24/0.44 (assume @p63 (forall @t3 (or (not (tptp.lt @t1 @t1)) @t45))) % 0.24/0.44 (assume @p64 (forall @t3 (or @t45 (tptp.equalelemsP @t47)))) % 0.24/0.44 (assume @p65 (forall @t3 (or @t45 (tptp.duplicatefreeP @t47)))) % 0.24/0.44 (assume @p66 (forall @t3 (or @t45 (tptp.strictorderedP @t47)))) % 0.24/0.44 (assume @p67 (forall @t3 (or @t45 (tptp.totalorderedP @t47)))) % 0.24/0.44 (assume @p68 (forall @t3 (or @t45 (tptp.strictorderP @t47)))) % 0.24/0.44 (assume @p69 (forall @t3 (or @t45 (tptp.totalorderP @t47)))) % 0.24/0.44 (assume @p70 (forall @t3 (or @t45 (tptp.cyclefreeP @t47)))) % 0.24/0.44 (assume @p71 (forall @t3 (or (not (tptp.memberP tptp.nil @t1)) @t45))) % 0.24/0.44 (assume @p72 (forall @t40 (or @t46 @t49 @t48))) % 0.24/0.44 (assume @p73 (forall @t3 (or @t46 (= (tptp.app @t1 tptp.nil) @t1)))) % 0.24/0.44 (assume @p74 (forall @t3 (or @t46 (= (tptp.app tptp.nil @t1) @t1)))) % 0.24/0.44 (assume @p75 (forall @t3 (or @t46 (tptp.ssList @t51) @t50))) % 0.24/0.44 (assume @p76 (forall @t3 (or @t46 (tptp.ssItem @t52) @t50))) % 0.24/0.44 (assume @p77 (forall @t3 (or @t54 @t46 @t53))) % 0.24/0.44 (assume @p78 (forall @t3 (or (not @t53) @t46 @t50))) % 0.24/0.44 (assume @p79 (forall @t3 (or @t54 @t46 @t55))) % 0.24/0.44 (assume @p80 (forall @t3 (or (not @t55) @t46 @t50))) % 0.24/0.44 (assume @p81 (forall @t3 (or @t54 @t46 @t56))) % 0.24/0.44 (assume @p82 (forall @t3 (or (not @t56) @t46 @t50))) % 0.24/0.44 (assume @p83 (forall @t40 (or @t46 @t58 (tptp.ssList @t57)))) % 0.24/0.44 (assume @p84 (forall @t40 (or @t45 @t58 (tptp.ssList @t59)))) % 0.24/0.44 (assume @p85 (forall @t3 (or @t46 @t60 (tptp.leq @t36 @t37)))) % 0.24/0.44 (assume @p86 (forall @t3 (or @t46 @t60 (tptp.leq @t37 @t36)))) % 0.24/0.44 (assume @p87 (forall @t3 (or (not (= @t7 @t8)) @t46 @t61))) % 0.24/0.44 (assume @p88 (forall @t3 (or (not (tptp.lt @t17 @t16)) @t46 @t62))) % 0.24/0.44 (assume @p89 (forall @t3 (or (not (tptp.leq @t22 @t21)) @t46 @t63))) % 0.24/0.44 (assume @p90 (forall @t3 (or (not (tptp.lt @t26 @t27)) @t46 @t64))) % 0.24/0.44 (assume @p91 (forall @t3 (or (not (tptp.lt @t27 @t26)) @t46 @t64))) % 0.24/0.44 (assume @p92 (forall @t3 (or (not (tptp.leq @t31 @t32)) @t46 @t65))) % 0.24/0.44 (assume @p93 (forall @t3 (or (not (tptp.leq @t32 @t31)) @t46 @t65))) % 0.24/0.44 (assume @p94 (forall @t40 (or @t45 @t58 (= (tptp.tl @t59) @t39)))) % 0.24/0.44 (assume @p95 (forall @t40 (or @t45 @t58 (= (tptp.hd @t59) @t1)))) % 0.24/0.44 (assume @p96 (forall @t40 (or (not (= @t59 tptp.nil)) @t45 @t58))) % 0.24/0.44 (assume @p97 (forall @t40 (or (not (= @t59 @t39)) @t45 @t58))) % 0.24/0.44 (assume @p98 (forall @t40 (or @t46 @t58 @t67 @t66))) % 0.24/0.44 (assume @p99 (forall @t3 (or (not (tptp.singletonP @t1)) @t46 (= (tptp.cons @t38 tptp.nil) @t1)))) % 0.24/0.44 (assume @p100 (forall @t40 (or @t45 @t68 @t67 @t66))) % 0.24/0.44 (assume @p101 (forall @t40 (or @t71 @t68 @t45 @t69))) % 0.24/0.44 (assume @p102 (forall @t3 (or @t46 (= (tptp.cons @t52 @t51) @t1) @t50))) % 0.24/0.44 (assume @p103 (forall @t40 (or @t73 @t68 @t45 @t72))) % 0.24/0.44 (assume @p104 (forall @t40 (or @t71 @t45 @t68 @t74))) % 0.24/0.44 (assume @p105 (forall @t40 (or @t76 @t68 @t45 @t75))) % 0.24/0.44 (assume @p106 (forall @t40 (or @t78 @t45 @t68 @t77))) % 0.24/0.44 (assume @p107 (forall @t3 (or @t46 (= (tptp.cons @t2 @t4) @t1) @t50))) % 0.24/0.44 (assume @p108 (forall @t40 (or @t73 (not @t74) @t45 @t68))) % 0.24/0.44 (assume @p109 (forall @t40 (or @t80 @t71 @t68 @t45))) % 0.24/0.44 (assume @p110 (forall @t40 (or @t54 @t46 @t68 (tptp.strictorderedP @t81)))) % 0.24/0.44 (assume @p111 (forall @t40 (or @t54 @t46 @t68 (tptp.totalorderedP @t81)))) % 0.24/0.44 (assume @p112 (forall @t40 (or @t71 (not @t72) @t45 @t68))) % 0.24/0.44 (assume @p113 @t84) % 0.24/0.44 (assume @p114 (forall @t40 (or (not (= @t47 @t39)) @t45 @t58 (tptp.singletonP @t39)))) % 0.24/0.44 (assume @p115 (forall @t40 (or @t80 @t82 @t68 @t45))) % 0.24/0.44 (assume @p116 (forall @t40 (or @t87 @t58 @t46 @t50))) % 0.24/0.44 (assume @p117 (forall @t40 (or @t87 @t58 @t46 @t88))) % 0.24/0.44 (assume @p118 (forall @t40 (or @t45 @t58 (= (tptp.app @t47 @t39) @t59)))) % 0.24/0.44 (assume @p119 (forall @t40 (or @t78 @t68 @t45 @t70 @t79))) % 0.24/0.44 (assume @p120 (forall @t40 (or @t46 @t58 @t88 (= (tptp.hd @t57) @t89)))) % 0.24/0.44 (assume @p121 (forall @t40 (or @t92 @t58 @t45 @t90 @t88))) % 0.24/0.44 (assume @p122 (forall @t40 (or @t95 @t58 @t45 @t93 @t88))) % 0.24/0.44 (assume @p123 (forall @t40 (or @t76 (not @t77) @t45 @t68 @t66))) % 0.24/0.44 (assume @p124 (forall @t40 (or @t96 (not (tptp.segmentP @t39 @t1)) @t46 @t58 @t66))) % 0.24/0.44 (assume @p125 (forall @t40 (or @t97 (not (tptp.rearsegP @t39 @t1)) @t46 @t58 @t66))) % 0.24/0.44 (assume @p126 (forall @t40 (or @t98 (not (tptp.frontsegP @t39 @t1)) @t46 @t58 @t66))) % 0.24/0.44 (assume @p127 (forall @t40 (or @t78 @t99 @t45 @t68 @t66))) % 0.24/0.44 (assume @p128 (forall @t40 (or @t97 @t58 @t46 (= (tptp.app @t42 @t39) @t1)))) % 0.24/0.44 (assume @p129 (forall @t40 (or @t98 @t58 @t46 (= (tptp.app @t39 @t43) @t1)))) % 0.24/0.44 (assume @p130 (forall @t40 (or @t46 @t58 @t88 (= (tptp.tl @t57) (tptp.app @t100 @t1))))) % 0.24/0.44 (assume @p131 (forall @t40 (or @t92 @t58 @t45 @t101 @t88))) % 0.24/0.44 (assume @p132 (forall @t40 (or @t95 @t58 @t45 @t102 @t88))) % 0.24/0.44 (assume @p133 (forall @t106 (or @t97 @t105 @t58 @t46 (tptp.rearsegP @t104 @t39)))) % 0.24/0.44 (assume @p134 (forall @t106 (or @t98 @t105 @t58 @t46 (tptp.frontsegP @t107 @t39)))) % 0.24/0.44 (assume @p135 (forall @t106 (or @t80 @t105 @t68 @t45 (tptp.memberP @t108 @t1)))) % 0.24/0.44 (assume @p136 (forall @t106 (or @t111 @t46 @t110 @t68 (tptp.memberP @t109 @t39)))) % 0.24/0.44 (assume @p137 (forall @t106 (or @t111 @t105 @t46 @t68 (tptp.memberP @t107 @t39)))) % 0.24/0.44 (assume @p138 (forall @t106 (or @t111 @t46 @t105 @t68 (tptp.memberP @t104 @t39)))) % 0.24/0.44 (assume @p139 (forall @t3 (or @t46 @t61 (= (tptp.app @t6 (tptp.cons @t8 (tptp.cons @t7 @t5))) @t1)))) % 0.24/0.44 (assume @p140 (forall @t106 (or @t112 @t46 @t58 @t105 (tptp.rearsegP @t103 @t39)))) % 0.24/0.44 (assume @p141 (forall @t106 (or @t112 @t58 @t46 @t105 (tptp.frontsegP @t103 @t1)))) % 0.24/0.44 (assume @p142 (forall @t40 (or @t54 (not @t88) @t58 @t46 @t86))) % 0.24/0.44 (assume @p143 (forall @t106 (or @t73 (not (tptp.gt @t39 @t103)) @t110 @t68 @t45 (tptp.gt @t1 @t103)))) % 0.24/0.44 (assume @p144 (forall @t106 (or @t78 @t114 @t110 @t68 @t45 @t113))) % 0.24/0.44 (assume @p145 (forall @t106 (or @t76 (not (tptp.geq @t39 @t103)) @t110 @t68 @t45 (tptp.geq @t1 @t103)))) % 0.24/0.44 (assume @p146 (forall @t106 (or @t46 @t58 @t105 (= (tptp.app @t115 @t1) (tptp.app @t103 @t57))))) % 0.24/0.44 (assume @p147 (forall @t106 (or (not (= @t85 @t107)) @t58 @t46 @t105 @t116))) % 0.24/0.44 (assume @p148 (forall @t106 (or (not (= @t85 @t115)) @t46 @t58 @t105 @t117))) % 0.24/0.44 (assume @p149 (forall @t106 (or @t96 (not (tptp.segmentP @t39 @t103)) @t105 @t58 @t46 (tptp.segmentP @t1 @t103)))) % 0.24/0.44 (assume @p150 (forall @t106 (or @t97 (not (tptp.rearsegP @t39 @t103)) @t105 @t58 @t46 (tptp.rearsegP @t1 @t103)))) % 0.24/0.44 (assume @p151 (forall @t106 (or @t98 (not (tptp.frontsegP @t39 @t103)) @t105 @t58 @t46 (tptp.frontsegP @t1 @t103)))) % 0.24/0.44 (assume @p152 (forall @t106 (or @t71 @t114 @t110 @t68 @t45 @t113))) % 0.24/0.44 (assume @p153 (forall @t106 (or @t78 (not (tptp.leq @t39 @t103)) @t110 @t68 @t45 (tptp.leq @t1 @t103)))) % 0.24/0.44 (assume @p154 (forall @t106 (or @t45 @t58 @t105 (= (tptp.cons @t1 (tptp.app @t39 @t103)) (tptp.app @t59 @t103))))) % 0.24/0.44 (assume @p155 (forall @t106 (or (not (tptp.memberP @t85 @t103)) @t58 @t46 @t110 @t118 (tptp.memberP @t1 @t103)))) % 0.24/0.44 (assume @p156 (forall @t40 (or (not @t102) (not @t93) @t58 @t45 @t94 @t88))) % 0.24/0.44 (assume @p157 (forall @t40 (or (not @t101) (not @t90) @t58 @t45 @t91 @t88))) % 0.24/0.44 (assume @p158 (forall @t106 (or (not (tptp.memberP @t59 @t103)) @t58 @t45 @t110 @t118 (= @t103 @t1)))) % 0.24/0.44 (assume @p159 (forall @t3 (or @t46 @t49 (= (tptp.app (tptp.app @t11 (tptp.cons @t12 @t10)) (tptp.cons @t12 @t9)) @t1)))) % 0.24/0.44 (assume @p160 (forall @t3 (or @t46 @t62 (= (tptp.app (tptp.app @t15 (tptp.cons @t17 @t14)) (tptp.cons @t16 @t13)) @t1)))) % 0.24/0.44 (assume @p161 (forall @t3 (or @t46 @t63 (= (tptp.app (tptp.app @t20 (tptp.cons @t22 @t19)) (tptp.cons @t21 @t18)) @t1)))) % 0.24/0.44 (assume @p162 (forall @t3 (or @t46 @t64 (= (tptp.app (tptp.app @t25 (tptp.cons @t27 @t24)) (tptp.cons @t26 @t23)) @t1)))) % 0.24/0.44 (assume @p163 (forall @t3 (or @t46 @t65 (= (tptp.app (tptp.app @t30 (tptp.cons @t32 @t29)) (tptp.cons @t31 @t28)) @t1)))) % 0.24/0.44 (assume @p164 (forall @t3 (or @t46 @t60 (= (tptp.app (tptp.app @t35 (tptp.cons @t37 @t34)) (tptp.cons @t36 @t33)) @t1)))) % 0.24/0.44 (assume @p165 (forall @t40 (or @t96 @t58 @t46 (= (tptp.app (tptp.app @t41 @t39) (tptp.skaf48 @t39 @t1)) @t1)))) % 0.24/0.44 (assume @p166 (forall @t40 (or @t111 @t68 @t46 (= (tptp.app @t44 (tptp.cons @t39 (tptp.skaf43 @t39 @t1))) @t1)))) % 0.24/0.44 (assume @p167 (forall @t123 (or @t122 @t110 @t45 @t120 @t58 @t117))) % 0.24/0.44 (assume @p168 (forall @t123 (or @t122 @t110 @t45 @t120 @t58 (= @t119 @t39)))) % 0.24/0.44 (assume @p169 (forall @t123 (or @t96 @t105 @t120 @t58 @t46 (tptp.segmentP (tptp.app (tptp.app @t119 @t1) @t103) @t39)))) % 0.24/0.44 (assume @p170 (forall @t123 (or (not (= (tptp.app @t85 @t103) @t119)) @t105 @t46 @t58 @t120 (tptp.segmentP @t119 @t39)))) % 0.24/0.44 (assume @p171 (forall @t123 (or @t124 @t120 @t58 @t110 @t45 (tptp.frontsegP @t39 @t119)))) % 0.24/0.44 (assume @p172 (forall @t123 (or (not (= @t125 @t119)) @t105 @t46 @t68 @t120 (tptp.memberP @t119 @t39)))) % 0.24/0.44 (assume @p173 (forall @t123 (or @t124 @t120 @t58 @t110 @t45 @t117))) % 0.24/0.44 (assume @p174 (forall @t40 (or (not (= @t51 @t100)) (not (= @t52 @t89)) @t46 @t58 @t88 @t79 @t50))) % 0.24/0.44 (assume @p175 (forall @t123 (or @t98 (not (= @t103 @t119)) @t58 @t46 @t126 @t110 (tptp.frontsegP @t109 (tptp.cons @t119 @t39))))) % 0.24/0.44 (assume @p176 (forall @t129 (or (not (= (tptp.app @t125 (tptp.cons @t39 @t119)) @t127)) @t120 @t105 @t46 @t68 (not (tptp.duplicatefreeP @t127)) @t128))) % 0.24/0.44 (assume @p177 (forall @t129 (or (not (= (tptp.app @t1 (tptp.cons @t39 @t121)) @t127)) @t120 @t46 @t110 @t68 (not (tptp.equalelemsP @t127)) @t128 @t116))) % 0.24/0.44 (assume @p178 (forall @t134 (or @t133 @t128 @t105 @t46 @t126 @t68 (not (tptp.strictorderedP @t131)) @t132 @t130))) % 0.24/0.44 (assume @p179 (forall @t134 (or @t133 @t128 @t105 @t46 @t126 @t68 (not (tptp.totalorderedP @t131)) @t132 @t135))) % 0.24/0.44 (assume @p180 (forall @t134 (or @t133 @t128 @t105 @t46 @t126 @t68 (not (tptp.strictorderP @t131)) @t132 @t130 (tptp.lt @t119 @t39)))) % 0.24/0.44 (assume @p181 (forall @t134 (or @t133 @t128 @t105 @t46 @t126 @t68 (not (tptp.totalorderP @t131)) @t132 @t135 (tptp.leq @t119 @t39)))) % 0.24/0.44 (assume @p182 (forall @t134 (or @t78 @t99 (not (= (tptp.app (tptp.app @t103 (tptp.cons @t1 @t119)) (tptp.cons @t39 @t127)) @t131)) @t128 @t120 @t105 @t68 @t45 (not (tptp.cyclefreeP @t131)) @t132))) % 0.24/0.44 (assume @p183 (tptp.ssList tptp.sk1)) % 0.24/0.44 (assume @p184 @t136) % 0.24/0.44 (assume @p185 (tptp.ssList tptp.sk3)) % 0.24/0.44 (assume @p186 (tptp.ssList tptp.sk4)) % 0.24/0.44 (assume @p187 @t137) % 0.24/0.44 (assume @p188 @t138) % 0.24/0.44 (assume @p189 (or @t140 (not @t139))) % 0.24/0.44 (assume @p190 (or @t143 @t142)) % 0.24/0.44 (assume @p191 (or @t144 @t142)) % 0.24/0.44 (assume @p192 (or @t145 @t142)) % 0.24/0.44 (assume @p193 (or @t146 @t142)) % 0.24/0.44 (assume @p194 (or @t148 @t147)) % 0.24/0.44 (assume @p195 @t156) % 0.24/0.44 (assume @p196 (or @t158 @t147)) % 0.24/0.44 (assume @p197 (forall @t155 (or @t158 @t153 @t152 @t151 @t150))) % 0.24/0.44 (assume-push @p378 @t137) % 0.24/0.44 (assume-push @p379 @t148) % 0.24/0.44 (assume-push @p380 @t137) % 0.24/0.44 (assume-push @p381 @t148) % 0.24/0.44 (step @p202 :rule trans :premises (@p379 @p187)) % 0.24/0.44 (step-pop @p382 :rule scope :premises (@p202)) % 0.24/0.44 (step-pop @p383 :rule scope :premises (@p382)) % 0.24/0.44 (step @p203 :rule process_scope :premises (@p383) :args (@t139)) % 0.24/0.44 (step @p206 :rule and_intro :premises (@p187 @p379)) % 0.24/0.44 (step @p207 :rule modus_ponens :premises (@p206 @p203)) % 0.24/0.44 (step-pop @p384 :rule scope :premises (@p207)) % 0.24/0.44 (step-pop @p385 :rule scope :premises (@p384)) % 0.24/0.44 (step @p208 :rule process_scope :premises (@p385) :args (@t139)) % 0.24/0.44 (step @p211 :rule implies_elim :premises (@p208)) % 0.24/0.44 (step @p212 :rule cnf_and_neg :args (@t159)) % 0.24/0.44 (step @p213 :rule resolution :premises (@p212 @p211) :args (true @t159)) % 0.24/0.44 (step @p214 :rule reordering :premises (@p213) :args ((or @t139 @t161 @t160))) % 0.24/0.44 (step @p215 :rule aci_norm :args ((= (or false @t162 @t58 @t58) (or @t162 @t58)))) % 0.24/0.44 (step @p216 :rule refl :args (@t58)) % 0.24/0.44 (step @p217 :rule refl :args (@t162)) % 0.24/0.44 (step @p218 :rule evaluate :args ((not true))) % 0.24/0.44 (step @p219 :rule eq-refl :args (@t39)) % 0.24/0.44 (step @p220 :rule cong :premises (@p219) :args (@t163)) % 0.24/0.44 (step @p221 :rule trans :premises (@p220 @p218)) % 0.24/0.44 (step @p222 :rule nary_cong :premises (@p221 @p217 @p216 @p216) :args (@t164)) % 0.24/0.44 (step @p223 :rule trans :premises (@p222 @p215)) % 0.24/0.44 (step @p224 :rule cong :premises (@p223) :args ((forall @t165 @t164))) % 0.24/0.44 (step @p225 :rule quant-var-elim-eq :args ((= (forall @t3 @t166) @t164))) % 0.24/0.44 (step @p226 :rule aci_norm :args ((= @t83 @t166))) % 0.24/0.44 (step @p227 :rule cong :premises (@p226) :args (@t167)) % 0.24/0.44 (step @p228 :rule trans :premises (@p227 @p225)) % 0.24/0.44 (step @p229 :rule cong :premises (@p228) :args (@t168)) % 0.24/0.44 (step @p230 :rule quant-merge-prenex :args ((= @t168 @t169))) % 0.24/0.44 (step @p231 :rule symm :premises (@p230)) % 0.24/0.44 (step @p232 :rule quant_var_reordering :args ((= @t84 @t169))) % 0.24/0.44 (step @p233 :rule trans :premises (@p232 @p231 @p229)) % 0.24/0.44 (step @p234 :rule trans :premises (@p233 @p224)) % 0.24/0.44 (step @p235 :rule eq_resolve :premises (@p113 @p234)) % 0.24/0.44 (step @p236 :rule instantiate :premises (@p235) :args ((@list tptp.sk2))) % 0.24/0.44 (step @p237 :rule cnf_or_pos :args (@t173)) % 0.24/0.44 (step @p238 :rule reordering :premises (@p237) :args ((or @t170 @t172 (not @t173)))) % 0.24/0.44 (step @p239 :rule chain_m_resolution :premises (@p238 @p184 @p236) :args (@t172 @t174 (@list @t136 @t173))) % 0.24/0.44 (step @p240 :rule refl :args (@t175)) % 0.24/0.44 (step @p241 :rule bool-double-not-elim :args (@t171)) % 0.24/0.44 (step @p242 :rule refl :args (@t160)) % 0.24/0.44 (step @p243 :rule refl :args (@t161)) % 0.24/0.44 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241 @p240) :args ((or @t161 @t160 (not @t172) @t175))) % 0.24/0.44 (assume-push @p386 @t137) % 0.24/0.44 (assume-push @p387 @t148) % 0.24/0.44 (assume-push @p388 @t172) % 0.24/0.44 (assume-push @p389 @t172) % 0.24/0.44 (assume-push @p390 @t137) % 0.24/0.44 (assume-push @p391 @t148) % 0.24/0.44 (step @p251 :rule false_intro :premises (@p239)) % 0.24/0.44 (step @p252 :rule symm :premises (@p187)) % 0.24/0.44 (step @p253 :rule cong :premises (@p252 @p387) :args (@t141)) % 0.24/0.44 (step @p254 :rule refl :args (tptp.nil)) % 0.24/0.44 (step @p255 :rule cong :premises (@p187 @p254) :args (@t147)) % 0.24/0.44 (step @p256 :rule trans :premises (@p255 @p253 @p251)) % 0.24/0.44 (step @p257 :rule false_elim :premises (@p256)) % 0.24/0.44 (step-pop @p392 :rule scope :premises (@p257)) % 0.24/0.44 (step-pop @p393 :rule scope :premises (@p392)) % 0.24/0.44 (step-pop @p394 :rule scope :premises (@p393)) % 0.24/0.44 (step @p258 :rule process_scope :premises (@p394) :args (@t175)) % 0.24/0.44 (step @p262 :rule and_intro :premises (@p239 @p187 @p387)) % 0.24/0.44 (step @p263 :rule modus_ponens :premises (@p262 @p258)) % 0.24/0.44 (step-pop @p395 :rule scope :premises (@p263)) % 0.24/0.44 (step-pop @p396 :rule scope :premises (@p395)) % 0.24/0.44 (step-pop @p397 :rule scope :premises (@p396)) % 0.24/0.44 (step @p264 :rule process_scope :premises (@p397) :args (@t175)) % 0.24/0.44 (step @p268 :rule implies_elim :premises (@p264)) % 0.24/0.44 (step @p269 :rule cnf_and_neg :args (@t176)) % 0.24/0.44 (step @p270 :rule resolution :premises (@p269 @p268) :args (true @t176)) % 0.24/0.44 (step @p271 :rule eq_resolve :premises (@p270 @p244)) % 0.24/0.44 (step @p272 :rule reordering :premises (@p271) :args ((or @t161 @t160 @t175 @t171))) % 0.24/0.44 (step @p273 :rule reordering :premises (@p196) :args ((or @t147 @t158))) % 0.24/0.44 (assume-push @p398 @t138) % 0.24/0.44 (assume-push @p399 @t140) % 0.24/0.44 (assume-push @p400 @t138) % 0.24/0.44 (assume-push @p401 @t140) % 0.24/0.44 (step @p278 :rule symm :premises (@p188)) % 0.24/0.44 (step @p279 :rule trans :premises (@p399 @p278)) % 0.24/0.44 (step-pop @p402 :rule scope :premises (@p279)) % 0.24/0.44 (step-pop @p403 :rule scope :premises (@p402)) % 0.24/0.44 (step @p280 :rule process_scope :premises (@p403) :args (@t157)) % 0.24/0.44 (step @p283 :rule and_intro :premises (@p188 @p399)) % 0.24/0.44 (step @p284 :rule modus_ponens :premises (@p283 @p280)) % 0.24/0.44 (step-pop @p404 :rule scope :premises (@p284)) % 0.24/0.44 (step-pop @p405 :rule scope :premises (@p404)) % 0.24/0.44 (step @p285 :rule process_scope :premises (@p405) :args (@t157)) % 0.24/0.44 (step @p288 :rule implies_elim :premises (@p285)) % 0.24/0.44 (step @p289 :rule cnf_and_neg :args (@t177)) % 0.24/0.44 (step @p290 :rule resolution :premises (@p289 @p288) :args (true @t177)) % 0.24/0.44 (step @p291 :rule reordering :premises (@p290) :args ((or @t157 (not @t138) (not @t140)))) % 0.24/0.44 (step @p292 :rule chain_m_resolution :premises (@p291 @p188 @p273 @p189 @p272 @p239 @p187 @p214 @p187) :args (@t160 (@list false true false true true false false false) (@list @t138 @t157 @t140 @t147 @t171 @t137 @t139 @t137))) % 0.24/0.44 (step @p293 :rule chain_m_resolution :premises (@p194 @p292) :args (@t147 @t178 @t179)) % 0.24/0.44 (assume-push @p406 @t137) % 0.24/0.44 (assume-push @p407 @t147) % 0.24/0.44 (assume-push @p408 @t147) % 0.24/0.44 (assume-push @p409 @t137) % 0.24/0.44 (step @p298 :rule true_intro :premises (@p407)) % 0.24/0.44 (step @p254 :rule refl :args (tptp.nil)) % 0.24/0.44 (step @p252 :rule symm :premises (@p187)) % 0.24/0.44 (step @p299 :rule cong :premises (@p252 @p254) :args (@t141)) % 0.24/0.44 (step @p300 :rule trans :premises (@p299 @p298)) % 0.24/0.44 (step @p301 :rule true_elim :premises (@p300)) % 0.24/0.44 (step-pop @p410 :rule scope :premises (@p301)) % 0.24/0.44 (step-pop @p411 :rule scope :premises (@p410)) % 0.24/0.44 (step @p302 :rule process_scope :premises (@p411) :args (@t141)) % 0.24/0.44 (step @p305 :rule and_intro :premises (@p407 @p187)) % 0.24/0.44 (step @p306 :rule modus_ponens :premises (@p305 @p302)) % 0.24/0.44 (step-pop @p412 :rule scope :premises (@p306)) % 0.24/0.44 (step-pop @p413 :rule scope :premises (@p412)) % 0.24/0.44 (step @p307 :rule process_scope :premises (@p413) :args (@t141)) % 0.24/0.44 (step @p310 :rule implies_elim :premises (@p307)) % 0.24/0.44 (step @p311 :rule cnf_and_neg :args (@t180)) % 0.24/0.44 (step @p312 :rule resolution :premises (@p311 @p310) :args (true @t180)) % 0.24/0.44 (step @p313 :rule reordering :premises (@p312) :args ((or @t141 @t161 @t175))) % 0.24/0.44 (step @p314 :rule chain_m_resolution :premises (@p313 @p187 @p293) :args (@t141 @t174 (@list @t137 @t147))) % 0.24/0.44 (step @p315 :rule chain_m_resolution :premises (@p190 @p314) :args (@t143 @t181 @t182)) % 0.24/0.44 (step @p316 :rule reordering :premises (@p191) :args ((or @t142 @t144))) % 0.24/0.44 (step @p317 :rule chain_m_resolution :premises (@p316 @p314) :args (@t144 @t181 @t182)) % 0.24/0.44 (step @p318 :rule quant-miniscope-or :args ((= (forall @t155 @t185) (or @t148 @t184)))) % 0.24/0.44 (step @p319 :rule aci_norm :args ((= @t154 @t185))) % 0.24/0.44 (step @p320 :rule cong :premises (@p319) :args (@t156)) % 0.24/0.44 (step @p321 :rule trans :premises (@p320 @p318)) % 0.24/0.44 (step @p322 :rule eq_resolve :premises (@p195 @p321)) % 0.24/0.44 (step @p323 :rule chain_m_resolution :premises (@p322 @p292) :args (@t184 @t178 @t179)) % 0.24/0.44 (assume-push @p414 @t184) % 0.24/0.44 (step @p325 :rule instantiate :premises (@p414) :args ((@list tptp.sk5))) % 0.24/0.44 (step-pop @p415 :rule scope :premises (@p325)) % 0.24/0.44 (step @p326 :rule process_scope :premises (@p415) :args (@t192)) % 0.24/0.44 (step @p328 :rule implies_elim :premises (@p326)) % 0.24/0.44 (step @p329 :rule chain_m_resolution :premises (@p328 @p323) :args (@t192 @t181 (@list @t184))) % 0.24/0.44 (step @p330 :rule reordering :premises (@p192) :args ((or @t142 @t145))) % 0.24/0.44 (step @p331 :rule chain_m_resolution :premises (@p330 @p314) :args (@t145 @t181 @t182)) % 0.24/0.44 (assume-push @p416 @t137) % 0.24/0.44 (assume-push @p417 @t145) % 0.24/0.44 (assume-push @p418 @t145) % 0.24/0.44 (assume-push @p419 @t137) % 0.24/0.44 (step @p336 :rule true_intro :premises (@p417)) % 0.24/0.44 (step @p337 :rule refl :args (tptp.sk5)) % 0.24/0.44 (step @p338 :rule cong :premises (@p187 @p337) :args (@t188)) % 0.24/0.44 (step @p339 :rule trans :premises (@p338 @p336)) % 0.24/0.44 (step @p340 :rule true_elim :premises (@p339)) % 0.24/0.44 (step-pop @p420 :rule scope :premises (@p340)) % 0.24/0.44 (step-pop @p421 :rule scope :premises (@p420)) % 0.24/0.44 (step @p341 :rule process_scope :premises (@p421) :args (@t188)) % 0.24/0.44 (step @p344 :rule and_intro :premises (@p417 @p187)) % 0.24/0.44 (step @p345 :rule modus_ponens :premises (@p344 @p341)) % 0.24/0.44 (step-pop @p422 :rule scope :premises (@p345)) % 0.24/0.44 (step-pop @p423 :rule scope :premises (@p422)) % 0.24/0.44 (step @p346 :rule process_scope :premises (@p423) :args (@t188)) % 0.24/0.44 (step @p349 :rule implies_elim :premises (@p346)) % 0.24/0.44 (step @p350 :rule cnf_and_neg :args (@t193)) % 0.24/0.44 (step @p351 :rule resolution :premises (@p350 @p349) :args (true @t193)) % 0.24/0.44 (step @p352 :rule chain_m_resolution :premises (@p351 @p187 @p331) :args (@t188 @t174 (@list @t137 @t145))) % 0.24/0.44 (step @p353 :rule reordering :premises (@p193) :args ((or @t142 @t146))) % 0.24/0.44 (step @p354 :rule chain_m_resolution :premises (@p353 @p314) :args (@t146 @t181 @t182)) % 0.24/0.44 (assume-push @p424 @t138) % 0.24/0.44 (assume-push @p425 @t146) % 0.24/0.44 (assume-push @p426 @t146) % 0.24/0.44 (assume-push @p427 @t138) % 0.24/0.44 (step @p359 :rule true_intro :premises (@p425)) % 0.24/0.44 (step @p337 :rule refl :args (tptp.sk5)) % 0.24/0.44 (step @p360 :rule cong :premises (@p188 @p337) :args (@t186)) % 0.24/0.44 (step @p361 :rule trans :premises (@p360 @p359)) % 0.24/0.44 (step @p362 :rule true_elim :premises (@p361)) % 0.24/0.44 (step-pop @p428 :rule scope :premises (@p362)) % 0.24/0.44 (step-pop @p429 :rule scope :premises (@p428)) % 0.24/0.44 (step @p363 :rule process_scope :premises (@p429) :args (@t186)) % 0.24/0.44 (step @p366 :rule and_intro :premises (@p425 @p188)) % 0.24/0.44 (step @p367 :rule modus_ponens :premises (@p366 @p363)) % 0.24/0.44 (step-pop @p430 :rule scope :premises (@p367)) % 0.24/0.44 (step-pop @p431 :rule scope :premises (@p430)) % 0.24/0.44 (step @p368 :rule process_scope :premises (@p431) :args (@t186)) % 0.24/0.44 (step @p371 :rule implies_elim :premises (@p368)) % 0.24/0.44 (step @p372 :rule cnf_and_neg :args (@t194)) % 0.24/0.44 (step @p373 :rule resolution :premises (@p372 @p371) :args (true @t194)) % 0.24/0.44 (step @p374 :rule chain_m_resolution :premises (@p373 @p188 @p354) :args (@t186 @t174 (@list @t138 @t146))) % 0.24/0.44 (step @p375 :rule cnf_or_pos :args (@t192)) % 0.24/0.44 (step @p376 :rule reordering :premises (@p375) :args ((or @t191 @t190 @t189 @t187 (not @t192)))) % 0.24/0.44 (step @p377 false :rule chain_m_resolution :premises (@p376 @p374 @p352 @p329 @p317 @p315) :args (false (@list false false false false false) (@list @t186 @t188 @t192 @t144 @t143))) % 0.24/0.44 ) % 0.24/0.44 % SZS output end Proof % 0.24/0.44 % cvc5 exiting %------------------------------------------------------------------------------