%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC366-1 : 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 : n020.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 08:59:02 AM UTC 2026 % Result : Unsatisfiable 1.52s 1.73s % Output : Proof 1.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC366-1 : 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 % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:44:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.52/1.73 % SZS status Unsatisfiable % 1.52/1.73 % SZS output start Proof % 1.52/1.75 ( % 1.52/1.75 (declare-sort $$unsorted 0) % 1.52/1.75 (declare-const tptp.sk4 $$unsorted) % 1.52/1.75 (declare-const tptp.sk2 $$unsorted) % 1.52/1.75 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.nil $$unsorted) % 1.52/1.75 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.sk1 $$unsorted) % 1.52/1.75 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skac2 $$unsorted) % 1.52/1.75 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.sk3 $$unsorted) % 1.52/1.75 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skac3 $$unsorted) % 1.52/1.75 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 1.52/1.75 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.52/1.75 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.52/1.75 (define @t1 () (tptp.ssList tptp.nil)) % 1.52/1.75 (define @t2 () (@var "U" $$unsorted)) % 1.52/1.75 (define @t3 () (tptp.skaf83 @t2)) % 1.52/1.75 (define @t4 () (@list @t2)) % 1.52/1.75 (define @t5 () (tptp.skaf82 @t2)) % 1.52/1.75 (define @t6 () (tptp.skaf81 @t2)) % 1.52/1.75 (define @t7 () (tptp.skaf80 @t2)) % 1.52/1.75 (define @t8 () (tptp.skaf79 @t2)) % 1.52/1.75 (define @t9 () (tptp.skaf78 @t2)) % 1.52/1.75 (define @t10 () (tptp.skaf77 @t2)) % 1.52/1.75 (define @t11 () (tptp.skaf76 @t2)) % 1.52/1.75 (define @t12 () (tptp.skaf75 @t2)) % 1.52/1.75 (define @t13 () (tptp.skaf74 @t2)) % 1.52/1.75 (define @t14 () (tptp.skaf73 @t2)) % 1.52/1.75 (define @t15 () (tptp.skaf72 @t2)) % 1.52/1.75 (define @t16 () (tptp.skaf71 @t2)) % 1.52/1.75 (define @t17 () (tptp.skaf70 @t2)) % 1.52/1.75 (define @t18 () (tptp.skaf69 @t2)) % 1.52/1.75 (define @t19 () (tptp.skaf68 @t2)) % 1.52/1.75 (define @t20 () (tptp.skaf67 @t2)) % 1.52/1.75 (define @t21 () (tptp.skaf66 @t2)) % 1.52/1.75 (define @t22 () (tptp.skaf65 @t2)) % 1.52/1.75 (define @t23 () (tptp.skaf64 @t2)) % 1.52/1.75 (define @t24 () (tptp.skaf63 @t2)) % 1.52/1.75 (define @t25 () (tptp.skaf62 @t2)) % 1.52/1.75 (define @t26 () (tptp.skaf61 @t2)) % 1.52/1.75 (define @t27 () (tptp.skaf60 @t2)) % 1.52/1.75 (define @t28 () (tptp.skaf59 @t2)) % 1.52/1.75 (define @t29 () (tptp.skaf58 @t2)) % 1.52/1.75 (define @t30 () (tptp.skaf57 @t2)) % 1.52/1.75 (define @t31 () (tptp.skaf56 @t2)) % 1.52/1.75 (define @t32 () (tptp.skaf55 @t2)) % 1.52/1.75 (define @t33 () (tptp.skaf54 @t2)) % 1.52/1.75 (define @t34 () (tptp.skaf53 @t2)) % 1.52/1.75 (define @t35 () (tptp.skaf52 @t2)) % 1.52/1.75 (define @t36 () (tptp.skaf51 @t2)) % 1.52/1.75 (define @t37 () (tptp.skaf50 @t2)) % 1.52/1.75 (define @t38 () (tptp.skaf49 @t2)) % 1.52/1.75 (define @t39 () (tptp.skaf44 @t2)) % 1.52/1.75 (define @t40 () (@var "V" $$unsorted)) % 1.52/1.75 (define @t41 () (@list @t2 @t40)) % 1.52/1.75 (define @t42 () (tptp.skaf47 @t2 @t40)) % 1.52/1.75 (define @t43 () (tptp.skaf46 @t2 @t40)) % 1.52/1.75 (define @t44 () (tptp.skaf45 @t2 @t40)) % 1.52/1.75 (define @t45 () (tptp.skaf42 @t2 @t40)) % 1.52/1.75 (define @t46 () (not (tptp.ssItem @t2))) % 1.52/1.75 (define @t47 () (not (tptp.ssList @t2))) % 1.52/1.75 (define @t48 () (tptp.cons @t2 tptp.nil)) % 1.52/1.75 (define @t49 () (tptp.ssItem @t40)) % 1.52/1.75 (define @t50 () (tptp.duplicatefreeP @t2)) % 1.52/1.75 (define @t51 () (tptp.app tptp.nil @t2)) % 1.52/1.75 (define @t52 () (or @t47 (= @t51 @t2))) % 1.52/1.75 (define @t53 () (forall @t4 @t52)) % 1.52/1.75 (define @t54 () (= tptp.nil @t2)) % 1.52/1.75 (define @t55 () (tptp.tl @t2)) % 1.52/1.75 (define @t56 () (tptp.hd @t2)) % 1.52/1.75 (define @t57 () (tptp.segmentP tptp.nil @t2)) % 1.52/1.75 (define @t58 () (not @t54)) % 1.52/1.75 (define @t59 () (tptp.rearsegP tptp.nil @t2)) % 1.52/1.75 (define @t60 () (tptp.frontsegP tptp.nil @t2)) % 1.52/1.75 (define @t61 () (tptp.app @t40 @t2)) % 1.52/1.75 (define @t62 () (not (tptp.ssList @t40))) % 1.52/1.75 (define @t63 () (tptp.cons @t2 @t40)) % 1.52/1.75 (define @t64 () (tptp.cyclefreeP @t2)) % 1.52/1.75 (define @t65 () (tptp.equalelemsP @t2)) % 1.52/1.75 (define @t66 () (tptp.strictorderedP @t2)) % 1.52/1.75 (define @t67 () (tptp.totalorderedP @t2)) % 1.52/1.75 (define @t68 () (tptp.strictorderP @t2)) % 1.52/1.75 (define @t69 () (tptp.totalorderP @t2)) % 1.52/1.75 (define @t70 () (tptp.tl @t63)) % 1.52/1.75 (define @t71 () (or @t46 @t62 (= @t70 @t40))) % 1.52/1.75 (define @t72 () (forall @t41 @t71)) % 1.52/1.75 (define @t73 () (tptp.hd @t63)) % 1.52/1.75 (define @t74 () (or @t46 @t62 (= @t73 @t2))) % 1.52/1.75 (define @t75 () (forall @t41 @t74)) % 1.52/1.75 (define @t76 () (not (= @t63 tptp.nil))) % 1.52/1.75 (define @t77 () (or @t76 @t46 @t62)) % 1.52/1.75 (define @t78 () (forall @t41 @t77)) % 1.52/1.75 (define @t79 () (= @t40 @t2)) % 1.52/1.75 (define @t80 () (tptp.neq @t40 @t2)) % 1.52/1.75 (define @t81 () (or @t47 @t62 @t80 @t79)) % 1.52/1.75 (define @t82 () (forall @t41 @t81)) % 1.52/1.75 (define @t83 () (not @t49)) % 1.52/1.75 (define @t84 () (tptp.leq @t2 @t40)) % 1.52/1.75 (define @t85 () (tptp.lt @t2 @t40)) % 1.52/1.75 (define @t86 () (not @t85)) % 1.52/1.75 (define @t87 () (tptp.lt @t40 @t2)) % 1.52/1.75 (define @t88 () (not (tptp.gt @t2 @t40))) % 1.52/1.75 (define @t89 () (tptp.gt @t40 @t2)) % 1.52/1.75 (define @t90 () (tptp.leq @t40 @t2)) % 1.52/1.75 (define @t91 () (not (tptp.geq @t2 @t40))) % 1.52/1.75 (define @t92 () (tptp.geq @t40 @t2)) % 1.52/1.75 (define @t93 () (not @t84)) % 1.52/1.75 (define @t94 () (tptp.cons @t3 @t5)) % 1.52/1.75 (define @t95 () (or @t47 (= @t94 @t2) @t54)) % 1.52/1.75 (define @t96 () (forall @t4 @t95)) % 1.52/1.75 (define @t97 () (= @t2 @t40)) % 1.52/1.75 (define @t98 () (not @t97)) % 1.52/1.75 (define @t99 () (tptp.cons @t40 @t2)) % 1.52/1.75 (define @t100 () (not (tptp.neq @t2 @t40))) % 1.52/1.75 (define @t101 () (or @t98 @t100 @t62 @t47)) % 1.52/1.75 (define @t102 () (forall @t41 @t101)) % 1.52/1.75 (define @t103 () (tptp.app @t2 @t40)) % 1.52/1.75 (define @t104 () (= @t103 tptp.nil)) % 1.52/1.75 (define @t105 () (not @t104)) % 1.52/1.75 (define @t106 () (= tptp.nil @t40)) % 1.52/1.75 (define @t107 () (tptp.app @t48 @t40)) % 1.52/1.75 (define @t108 () (or @t46 @t62 (= @t107 @t63))) % 1.52/1.75 (define @t109 () (forall @t41 @t108)) % 1.52/1.75 (define @t110 () (tptp.hd @t40)) % 1.52/1.75 (define @t111 () (tptp.strictorderedP @t40)) % 1.52/1.75 (define @t112 () (tptp.strictorderedP @t63)) % 1.52/1.75 (define @t113 () (not @t112)) % 1.52/1.75 (define @t114 () (tptp.totalorderedP @t40)) % 1.52/1.75 (define @t115 () (tptp.totalorderedP @t63)) % 1.52/1.75 (define @t116 () (not @t115)) % 1.52/1.75 (define @t117 () (not (tptp.segmentP @t2 @t40))) % 1.52/1.75 (define @t118 () (not (tptp.rearsegP @t2 @t40))) % 1.52/1.75 (define @t119 () (not (tptp.frontsegP @t2 @t40))) % 1.52/1.75 (define @t120 () (not @t90)) % 1.52/1.75 (define @t121 () (tptp.app @t40 @t44)) % 1.52/1.75 (define @t122 () (or @t119 @t62 @t47 (= @t121 @t2))) % 1.52/1.75 (define @t123 () (forall @t41 @t122)) % 1.52/1.75 (define @t124 () (tptp.tl @t40)) % 1.52/1.75 (define @t125 () (tptp.lt @t2 @t110)) % 1.52/1.75 (define @t126 () (tptp.leq @t2 @t110)) % 1.52/1.75 (define @t127 () (@var "W" $$unsorted)) % 1.52/1.75 (define @t128 () (tptp.app @t127 @t2)) % 1.52/1.75 (define @t129 () (not (tptp.ssList @t127))) % 1.52/1.75 (define @t130 () (@list @t2 @t40 @t127)) % 1.52/1.75 (define @t131 () (tptp.app @t2 @t127)) % 1.52/1.75 (define @t132 () (tptp.cons @t40 @t127)) % 1.52/1.75 (define @t133 () (tptp.cons @t127 @t2)) % 1.52/1.75 (define @t134 () (not (tptp.ssItem @t127))) % 1.52/1.75 (define @t135 () (not (tptp.memberP @t2 @t40))) % 1.52/1.75 (define @t136 () (tptp.rearsegP @t127 @t40)) % 1.52/1.75 (define @t137 () (not (= @t103 @t127))) % 1.52/1.75 (define @t138 () (or @t137 @t47 @t62 @t129 @t136)) % 1.52/1.75 (define @t139 () (forall @t130 @t138)) % 1.52/1.75 (define @t140 () (tptp.lt @t2 @t127)) % 1.52/1.75 (define @t141 () (not (tptp.lt @t40 @t127))) % 1.52/1.75 (define @t142 () (tptp.app @t127 @t40)) % 1.52/1.75 (define @t143 () (= @t40 @t127)) % 1.52/1.75 (define @t144 () (= @t2 @t127)) % 1.52/1.75 (define @t145 () (tptp.memberP @t40 @t127)) % 1.52/1.75 (define @t146 () (@var "X" $$unsorted)) % 1.52/1.75 (define @t147 () (not (tptp.ssList @t146))) % 1.52/1.75 (define @t148 () (tptp.cons @t127 @t146)) % 1.52/1.75 (define @t149 () (not (= @t63 @t148))) % 1.52/1.75 (define @t150 () (@list @t2 @t40 @t127 @t146)) % 1.52/1.75 (define @t151 () (not (tptp.frontsegP @t63 @t148))) % 1.52/1.75 (define @t152 () (tptp.app @t2 @t132)) % 1.52/1.75 (define @t153 () (not (tptp.ssItem @t146))) % 1.52/1.75 (define @t154 () (@var "Y" $$unsorted)) % 1.52/1.75 (define @t155 () (not (tptp.ssList @t154))) % 1.52/1.75 (define @t156 () (@list @t2 @t40 @t127 @t146 @t154)) % 1.52/1.75 (define @t157 () (tptp.lt @t40 @t146)) % 1.52/1.75 (define @t158 () (@var "Z" $$unsorted)) % 1.52/1.75 (define @t159 () (not (tptp.ssList @t158))) % 1.52/1.75 (define @t160 () (not (= (tptp.app @t152 (tptp.cons @t146 @t154)) @t158))) % 1.52/1.75 (define @t161 () (@list @t2 @t40 @t127 @t146 @t154 @t158)) % 1.52/1.75 (define @t162 () (tptp.leq @t40 @t146)) % 1.52/1.75 (define @t163 () (tptp.ssList tptp.sk1)) % 1.52/1.75 (define @t164 () (tptp.ssList tptp.sk2)) % 1.52/1.75 (define @t165 () (tptp.ssList tptp.sk3)) % 1.52/1.75 (define @t166 () (tptp.ssList tptp.sk4)) % 1.52/1.75 (define @t167 () (= tptp.sk2 tptp.sk4)) % 1.52/1.75 (define @t168 () (= tptp.sk1 tptp.sk3)) % 1.52/1.75 (define @t169 () (tptp.neq tptp.sk2 tptp.nil)) % 1.52/1.75 (define @t170 () (or @t169 @t169)) % 1.52/1.75 (define @t171 () (tptp.neq tptp.sk4 tptp.nil)) % 1.52/1.75 (define @t172 () (not @t171)) % 1.52/1.75 (define @t173 () (tptp.neq tptp.nil tptp.sk4)) % 1.52/1.75 (define @t174 () (not @t173)) % 1.52/1.75 (define @t175 () (@var "C" $$unsorted)) % 1.52/1.75 (define @t176 () (tptp.hd tptp.sk4)) % 1.52/1.75 (define @t177 () (not (= @t176 @t175))) % 1.52/1.75 (define @t178 () (@var "B" $$unsorted)) % 1.52/1.75 (define @t179 () (tptp.cons @t175 tptp.nil)) % 1.52/1.75 (define @t180 () (not (= @t179 @t178))) % 1.52/1.75 (define @t181 () (not (tptp.ssItem @t175))) % 1.52/1.75 (define @t182 () (@var "A" $$unsorted)) % 1.52/1.75 (define @t183 () (tptp.app @t178 tptp.sk3)) % 1.52/1.75 (define @t184 () (not (= @t183 @t182))) % 1.52/1.75 (define @t185 () (not (tptp.ssList @t178))) % 1.52/1.75 (define @t186 () (= tptp.sk4 @t182)) % 1.52/1.75 (define @t187 () (not (tptp.ssList @t182))) % 1.52/1.75 (define @t188 () (@list @t182 @t178 @t175)) % 1.52/1.75 (define @t189 () (tptp.rearsegP tptp.sk2 tptp.sk1)) % 1.52/1.75 (define @t190 () (not @t189)) % 1.52/1.75 (define @t191 () (or @t187 @t186 @t185 @t184 @t181 @t180 @t177 @t174 @t172)) % 1.52/1.75 (define @t192 () (forall @t188 @t191)) % 1.52/1.75 (define @t193 () (@list tptp.sk2)) % 1.52/1.75 (define @t194 () (tptp.skaf82 tptp.sk2)) % 1.52/1.75 (define @t195 () (tptp.skaf83 tptp.sk2)) % 1.52/1.75 (define @t196 () (@list @t195 @t194)) % 1.52/1.75 (define @t197 () (tptp.cons @t195 @t194)) % 1.52/1.75 (define @t198 () (tptp.hd @t197)) % 1.52/1.75 (define @t199 () (= @t195 @t198)) % 1.52/1.75 (define @t200 () (tptp.ssList @t194)) % 1.52/1.75 (define @t201 () (not @t200)) % 1.52/1.75 (define @t202 () (tptp.ssItem @t195)) % 1.52/1.75 (define @t203 () (not @t202)) % 1.52/1.75 (define @t204 () (or @t203 @t201 @t199)) % 1.52/1.75 (define @t205 () (@list false false false)) % 1.52/1.75 (define @t206 () (not (tptp.neq @t40 @t40))) % 1.52/1.75 (define @t207 () (not (= @t40 @t40))) % 1.52/1.75 (define @t208 () (or @t207 @t206 @t62 @t62)) % 1.52/1.75 (define @t209 () (@list @t40)) % 1.52/1.75 (define @t210 () (or @t98 @t98 @t100 @t62 @t47)) % 1.52/1.75 (define @t211 () (forall @t4 @t101)) % 1.52/1.75 (define @t212 () (forall @t209 @t211)) % 1.52/1.75 (define @t213 () (forall (@list @t40 @t2) @t101)) % 1.52/1.75 (define @t214 () (not @t164)) % 1.52/1.75 (define @t215 () (tptp.neq tptp.sk2 tptp.sk2)) % 1.52/1.75 (define @t216 () (not @t215)) % 1.52/1.75 (define @t217 () (or @t216 @t214)) % 1.52/1.75 (define @t218 () (@list false false)) % 1.52/1.75 (define @t219 () (= tptp.nil tptp.sk2)) % 1.52/1.75 (define @t220 () (not @t219)) % 1.52/1.75 (define @t221 () (not @t169)) % 1.52/1.75 (define @t222 () (not @t167)) % 1.52/1.75 (define @t223 () (and @t169 @t167 @t219 @t216)) % 1.52/1.75 (define @t224 () (= tptp.sk2 @t197)) % 1.52/1.75 (define @t225 () (or @t214 @t224 @t219)) % 1.52/1.75 (define @t226 () (@list false true false)) % 1.52/1.75 (define @t227 () (@list @t176 tptp.nil)) % 1.52/1.75 (define @t228 () (tptp.ssItem (tptp.hd tptp.sk2))) % 1.52/1.75 (define @t229 () (or @t214 @t228 @t219)) % 1.52/1.75 (define @t230 () (tptp.ssItem @t176)) % 1.52/1.75 (define @t231 () (and @t167 @t228)) % 1.52/1.75 (define @t232 () (tptp.cons @t176 tptp.nil)) % 1.52/1.75 (define @t233 () (tptp.ssList @t232)) % 1.52/1.75 (define @t234 () (not @t1)) % 1.52/1.75 (define @t235 () (not @t230)) % 1.52/1.75 (define @t236 () (or @t235 @t234 @t233)) % 1.52/1.75 (define @t237 () (tptp.cons @t195 tptp.nil)) % 1.52/1.75 (define @t238 () (tptp.ssList @t237)) % 1.52/1.75 (define @t239 () (and @t167 @t233 @t224 @t199)) % 1.52/1.75 (define @t240 () (not @t224)) % 1.52/1.75 (define @t241 () (not @t233)) % 1.52/1.75 (define @t242 () (@list false false false false)) % 1.52/1.75 (define @t243 () (tptp.rearsegP @t103 @t40)) % 1.52/1.75 (define @t244 () (not (tptp.ssList @t103))) % 1.52/1.75 (define @t245 () (not (= @t103 @t103))) % 1.52/1.75 (define @t246 () (or @t245 @t47 @t62 @t244 @t243)) % 1.52/1.75 (define @t247 () (@list @t127)) % 1.52/1.75 (define @t248 () (or @t137 @t137 @t47 @t62 @t129 @t136)) % 1.52/1.75 (define @t249 () (forall @t247 @t138)) % 1.52/1.75 (define @t250 () (forall @t41 @t249)) % 1.52/1.75 (define @t251 () (tptp.app @t237 @t194)) % 1.52/1.75 (define @t252 () (= @t197 @t251)) % 1.52/1.75 (define @t253 () (or @t203 @t201 @t252)) % 1.52/1.75 (define @t254 () (tptp.ssList @t251)) % 1.52/1.75 (define @t255 () (and @t164 @t224 @t252)) % 1.52/1.75 (define @t256 () (tptp.skaf45 tptp.sk1 tptp.nil)) % 1.52/1.75 (define @t257 () (@list tptp.sk1 tptp.nil)) % 1.52/1.75 (define @t258 () (= tptp.nil @t232)) % 1.52/1.75 (define @t259 () (not @t258)) % 1.52/1.75 (define @t260 () (or @t259 @t235 @t234)) % 1.52/1.75 (define @t261 () (tptp.tl @t232)) % 1.52/1.75 (define @t262 () (tptp.app @t261 @t256)) % 1.52/1.75 (define @t263 () (= (tptp.tl (tptp.app @t232 @t256)) @t262)) % 1.52/1.75 (define @t264 () (tptp.ssList @t256)) % 1.52/1.75 (define @t265 () (not @t264)) % 1.52/1.75 (define @t266 () (or @t265 @t241 @t258 @t263)) % 1.52/1.75 (define @t267 () (tptp.app tptp.nil @t256)) % 1.52/1.75 (define @t268 () (= @t256 @t267)) % 1.52/1.75 (define @t269 () (or @t265 @t268)) % 1.52/1.75 (define @t270 () (tptp.frontsegP tptp.sk1 tptp.nil)) % 1.52/1.75 (define @t271 () (not @t163)) % 1.52/1.75 (define @t272 () (or @t271 @t270)) % 1.52/1.75 (define @t273 () (= tptp.sk1 @t267)) % 1.52/1.75 (define @t274 () (not @t270)) % 1.52/1.75 (define @t275 () (or @t274 @t234 @t271 @t273)) % 1.52/1.75 (define @t276 () (tptp.tl @t197)) % 1.52/1.75 (define @t277 () (= @t194 @t276)) % 1.52/1.75 (define @t278 () (or @t203 @t201 @t277)) % 1.52/1.75 (define @t279 () (= tptp.nil @t261)) % 1.52/1.75 (define @t280 () (or @t235 @t234 @t279)) % 1.52/1.75 (define @t281 () (tptp.app @t232 tptp.sk3)) % 1.52/1.75 (define @t282 () (tptp.ssList @t281)) % 1.52/1.75 (define @t283 () (not @t165)) % 1.52/1.75 (define @t284 () (or @t283 @t241 @t282)) % 1.52/1.75 (define @t285 () (not @t166)) % 1.52/1.75 (define @t286 () (or @t285 @t234 @t173 (= tptp.sk4 tptp.nil))) % 1.52/1.75 (define @t287 () (forall @t41 (or @t47 @t62 @t80 @t97))) % 1.52/1.75 (define @t288 () (= tptp.nil tptp.sk4)) % 1.52/1.75 (define @t289 () (or @t285 @t234 @t173 @t288)) % 1.52/1.75 (define @t290 () (@list false)) % 1.52/1.75 (define @t291 () (not @t288)) % 1.52/1.75 (define @t292 () (and @t167 @t220)) % 1.52/1.75 (define @t293 () (= tptp.sk4 @t281)) % 1.52/1.75 (define @t294 () (not @t282)) % 1.52/1.75 (define @t295 () (or @t294 @t293 @t241 @t235)) % 1.52/1.75 (define @t296 () (not (= @t176 @t176))) % 1.52/1.75 (define @t297 () (or @t294 @t293 @t241 @t235 @t296)) % 1.52/1.75 (define @t298 () (not (= @t175 @t176))) % 1.52/1.75 (define @t299 () (not (tptp.ssList @t179))) % 1.52/1.75 (define @t300 () (tptp.app @t179 tptp.sk3)) % 1.52/1.75 (define @t301 () (= tptp.sk4 @t300)) % 1.52/1.75 (define @t302 () (not (tptp.ssList @t300))) % 1.52/1.75 (define @t303 () (or @t298 @t302 @t301 @t299 @t181 @t298)) % 1.52/1.75 (define @t304 () (@list @t175)) % 1.52/1.75 (define @t305 () (or @t302 @t301 @t299 @t181 @t298)) % 1.52/1.75 (define @t306 () (not (= @t179 @t179))) % 1.52/1.75 (define @t307 () (or @t302 @t301 @t299 @t181 @t306 @t298)) % 1.52/1.75 (define @t308 () (not (= @t178 @t179))) % 1.52/1.75 (define @t309 () (= tptp.sk4 @t183)) % 1.52/1.75 (define @t310 () (not (tptp.ssList @t183))) % 1.52/1.75 (define @t311 () (or @t308 @t310 @t309 @t185 @t181 @t308 @t298)) % 1.52/1.75 (define @t312 () (@list @t178)) % 1.52/1.75 (define @t313 () (or @t310 @t309 @t185 @t181 @t308 @t298)) % 1.52/1.75 (define @t314 () (forall @t312 @t313)) % 1.52/1.75 (define @t315 () (forall @t304 @t314)) % 1.52/1.75 (define @t316 () (forall (@list @t175 @t178) @t313)) % 1.52/1.75 (define @t317 () (@list @t178 @t175)) % 1.52/1.75 (define @t318 () (not (= @t183 @t183))) % 1.52/1.75 (define @t319 () (or @t310 @t309 @t185 @t318 @t181 @t308 @t298)) % 1.52/1.75 (define @t320 () (not (= @t182 @t183))) % 1.52/1.75 (define @t321 () (or @t320 @t187 @t186 @t185 @t320 @t181 @t308 @t298)) % 1.52/1.75 (define @t322 () (@list @t182)) % 1.52/1.75 (define @t323 () (or @t187 @t186 @t185 @t320 @t181 @t308 @t298)) % 1.52/1.75 (define @t324 () (forall @t322 @t323)) % 1.52/1.75 (define @t325 () (forall @t317 @t324)) % 1.52/1.75 (define @t326 () (forall (@list @t178 @t175 @t182) @t323)) % 1.52/1.75 (define @t327 () (forall @t188 @t323)) % 1.52/1.75 (define @t328 () (or @t174 @t172 @t327)) % 1.52/1.75 (define @t329 () (or @t174 @t172 @t323)) % 1.52/1.75 (define @t330 () (or @t187 @t186 @t185 @t320 @t181 @t308 @t298 @t174 @t172)) % 1.52/1.75 (define @t331 () (tptp.rearsegP @t251 @t194)) % 1.52/1.75 (define @t332 () (not @t331)) % 1.52/1.75 (define @t333 () (not @t263)) % 1.52/1.75 (define @t334 () (not @t268)) % 1.52/1.75 (define @t335 () (not @t273)) % 1.52/1.75 (define @t336 () (not @t252)) % 1.52/1.75 (define @t337 () (not @t277)) % 1.52/1.75 (define @t338 () (not @t279)) % 1.52/1.75 (define @t339 () (not @t293)) % 1.52/1.75 (define @t340 () (not @t168)) % 1.52/1.75 (define @t341 () (and @t167 @t168 @t190 @t293 @t224 @t279 @t277 @t252 @t273 @t268 @t263)) % 1.52/1.75 (define @t342 () (not @t254)) % 1.52/1.75 (define @t343 () (not @t238)) % 1.52/1.75 (define @t344 () (or @t343 @t201 @t342 @t331)) % 1.52/1.75 (assume @p1 (tptp.equalelemsP tptp.nil)) % 1.52/1.75 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 1.52/1.75 (assume @p3 (tptp.strictorderedP tptp.nil)) % 1.52/1.75 (assume @p4 (tptp.totalorderedP tptp.nil)) % 1.52/1.75 (assume @p5 (tptp.strictorderP tptp.nil)) % 1.52/1.75 (assume @p6 (tptp.totalorderP tptp.nil)) % 1.52/1.75 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 1.52/1.75 (assume @p8 @t1) % 1.52/1.75 (assume @p9 (tptp.ssItem tptp.skac3)) % 1.52/1.75 (assume @p10 (tptp.ssItem tptp.skac2)) % 1.52/1.75 (assume @p11 (not (tptp.singletonP tptp.nil))) % 1.52/1.75 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 1.52/1.75 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 1.52/1.75 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 1.52/1.75 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 1.52/1.75 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 1.52/1.75 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 1.52/1.75 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 1.52/1.75 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 1.52/1.75 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 1.52/1.75 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 1.52/1.75 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 1.52/1.75 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 1.52/1.75 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 1.52/1.75 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 1.52/1.75 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 1.52/1.75 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 1.52/1.75 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 1.52/1.75 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 1.52/1.75 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 1.52/1.75 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 1.52/1.75 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 1.52/1.75 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 1.52/1.75 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 1.52/1.75 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 1.52/1.75 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 1.52/1.75 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 1.52/1.75 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 1.52/1.75 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 1.52/1.75 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 1.52/1.75 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 1.52/1.75 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 1.52/1.75 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 1.52/1.75 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 1.52/1.75 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 1.52/1.75 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 1.52/1.75 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 1.52/1.75 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 1.52/1.75 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 1.52/1.75 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 1.52/1.75 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 1.52/1.75 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 1.52/1.75 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 1.52/1.75 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 1.52/1.75 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 1.52/1.75 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 1.52/1.75 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 1.52/1.75 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 1.52/1.75 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 1.52/1.75 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 1.52/1.75 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 1.52/1.75 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 1.52/1.75 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 1.52/1.75 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 1.52/1.75 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 1.52/1.75 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 1.52/1.75 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 1.52/1.75 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 1.52/1.75 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 1.52/1.75 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 1.52/1.75 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 1.52/1.75 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 1.52/1.75 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.52/1.75 (assume @p74 @t53) % 1.52/1.75 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t55) @t54))) % 1.52/1.75 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t56) @t54))) % 1.52/1.75 (assume @p77 (forall @t4 (or @t58 @t47 @t57))) % 1.52/1.75 (assume @p78 (forall @t4 (or (not @t57) @t47 @t54))) % 1.52/1.75 (assume @p79 (forall @t4 (or @t58 @t47 @t59))) % 1.52/1.75 (assume @p80 (forall @t4 (or (not @t59) @t47 @t54))) % 1.52/1.75 (assume @p81 (forall @t4 (or @t58 @t47 @t60))) % 1.52/1.75 (assume @p82 (forall @t4 (or (not @t60) @t47 @t54))) % 1.52/1.75 (assume @p83 (forall @t41 (or @t47 @t62 (tptp.ssList @t61)))) % 1.52/1.75 (assume @p84 (forall @t41 (or @t46 @t62 (tptp.ssList @t63)))) % 1.52/1.75 (assume @p85 (forall @t4 (or @t47 @t64 (tptp.leq @t37 @t38)))) % 1.52/1.75 (assume @p86 (forall @t4 (or @t47 @t64 (tptp.leq @t38 @t37)))) % 1.52/1.75 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t65))) % 1.52/1.75 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t66))) % 1.52/1.75 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t67))) % 1.52/1.75 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t68))) % 1.52/1.75 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t68))) % 1.52/1.75 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t69))) % 1.52/1.75 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t69))) % 1.52/1.75 (assume @p94 @t72) % 1.52/1.75 (assume @p95 @t75) % 1.52/1.75 (assume @p96 @t78) % 1.52/1.75 (assume @p97 (forall @t41 (or (not (= @t63 @t40)) @t46 @t62))) % 1.52/1.75 (assume @p98 @t82) % 1.52/1.75 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 1.52/1.75 (assume @p100 (forall @t41 (or @t46 @t83 @t80 @t79))) % 1.52/1.75 (assume @p101 (forall @t41 (or @t86 @t83 @t46 @t84))) % 1.52/1.75 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t56 @t55) @t2) @t54))) % 1.52/1.75 (assume @p103 (forall @t41 (or @t88 @t83 @t46 @t87))) % 1.52/1.75 (assume @p104 (forall @t41 (or @t86 @t46 @t83 @t89))) % 1.52/1.75 (assume @p105 (forall @t41 (or @t91 @t83 @t46 @t90))) % 1.52/1.75 (assume @p106 (forall @t41 (or @t93 @t46 @t83 @t92))) % 1.52/1.75 (assume @p107 @t96) % 1.52/1.75 (assume @p108 (forall @t41 (or @t88 (not @t89) @t46 @t83))) % 1.52/1.75 (assume @p109 (forall @t41 (or @t98 @t86 @t83 @t46))) % 1.52/1.75 (assume @p110 (forall @t41 (or @t58 @t47 @t83 (tptp.strictorderedP @t99)))) % 1.52/1.75 (assume @p111 (forall @t41 (or @t58 @t47 @t83 (tptp.totalorderedP @t99)))) % 1.52/1.75 (assume @p112 (forall @t41 (or @t86 (not @t87) @t46 @t83))) % 1.52/1.75 (assume @p113 @t102) % 1.52/1.75 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t62 (tptp.singletonP @t40)))) % 1.52/1.75 (assume @p115 (forall @t41 (or @t98 @t100 @t83 @t46))) % 1.52/1.75 (assume @p116 (forall @t41 (or @t105 @t62 @t47 @t54))) % 1.52/1.75 (assume @p117 (forall @t41 (or @t105 @t62 @t47 @t106))) % 1.52/1.75 (assume @p118 @t109) % 1.52/1.75 (assume @p119 (forall @t41 (or @t93 @t83 @t46 @t85 @t97))) % 1.52/1.75 (assume @p120 (forall @t41 (or @t47 @t62 @t106 (= (tptp.hd @t61) @t110)))) % 1.52/1.75 (assume @p121 (forall @t41 (or @t113 @t62 @t46 @t111 @t106))) % 1.52/1.75 (assume @p122 (forall @t41 (or @t116 @t62 @t46 @t114 @t106))) % 1.52/1.75 (assume @p123 (forall @t41 (or @t91 (not @t92) @t46 @t83 @t79))) % 1.52/1.75 (assume @p124 (forall @t41 (or @t117 (not (tptp.segmentP @t40 @t2)) @t47 @t62 @t79))) % 1.52/1.75 (assume @p125 (forall @t41 (or @t118 (not (tptp.rearsegP @t40 @t2)) @t47 @t62 @t79))) % 1.52/1.75 (assume @p126 (forall @t41 (or @t119 (not (tptp.frontsegP @t40 @t2)) @t47 @t62 @t79))) % 1.52/1.75 (assume @p127 (forall @t41 (or @t93 @t120 @t46 @t83 @t79))) % 1.52/1.75 (assume @p128 (forall @t41 (or @t118 @t62 @t47 (= (tptp.app @t43 @t40) @t2)))) % 1.52/1.75 (assume @p129 @t123) % 1.52/1.75 (assume @p130 (forall @t41 (or @t47 @t62 @t106 (= (tptp.tl @t61) (tptp.app @t124 @t2))))) % 1.52/1.75 (assume @p131 (forall @t41 (or @t113 @t62 @t46 @t125 @t106))) % 1.52/1.75 (assume @p132 (forall @t41 (or @t116 @t62 @t46 @t126 @t106))) % 1.52/1.75 (assume @p133 (forall @t130 (or @t118 @t129 @t62 @t47 (tptp.rearsegP @t128 @t40)))) % 1.52/1.75 (assume @p134 (forall @t130 (or @t119 @t129 @t62 @t47 (tptp.frontsegP @t131 @t40)))) % 1.52/1.75 (assume @p135 (forall @t130 (or @t98 @t129 @t83 @t46 (tptp.memberP @t132 @t2)))) % 1.52/1.75 (assume @p136 (forall @t130 (or @t135 @t47 @t134 @t83 (tptp.memberP @t133 @t40)))) % 1.52/1.75 (assume @p137 (forall @t130 (or @t135 @t129 @t47 @t83 (tptp.memberP @t131 @t40)))) % 1.52/1.75 (assume @p138 (forall @t130 (or @t135 @t47 @t129 @t83 (tptp.memberP @t128 @t40)))) % 1.52/1.75 (assume @p139 (forall @t4 (or @t47 @t65 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 1.52/1.75 (assume @p140 @t139) % 1.52/1.75 (assume @p141 (forall @t130 (or @t137 @t62 @t47 @t129 (tptp.frontsegP @t127 @t2)))) % 1.52/1.75 (assume @p142 (forall @t41 (or @t58 (not @t106) @t62 @t47 @t104))) % 1.52/1.75 (assume @p143 (forall @t130 (or @t88 (not (tptp.gt @t40 @t127)) @t134 @t83 @t46 (tptp.gt @t2 @t127)))) % 1.52/1.75 (assume @p144 (forall @t130 (or @t93 @t141 @t134 @t83 @t46 @t140))) % 1.52/1.75 (assume @p145 (forall @t130 (or @t91 (not (tptp.geq @t40 @t127)) @t134 @t83 @t46 (tptp.geq @t2 @t127)))) % 1.52/1.75 (assume @p146 (forall @t130 (or @t47 @t62 @t129 (= (tptp.app @t142 @t2) (tptp.app @t127 @t61))))) % 1.52/1.75 (assume @p147 (forall @t130 (or (not (= @t103 @t131)) @t62 @t47 @t129 @t143))) % 1.52/1.75 (assume @p148 (forall @t130 (or (not (= @t103 @t142)) @t47 @t62 @t129 @t144))) % 1.52/1.75 (assume @p149 (forall @t130 (or @t117 (not (tptp.segmentP @t40 @t127)) @t129 @t62 @t47 (tptp.segmentP @t2 @t127)))) % 1.52/1.75 (assume @p150 (forall @t130 (or @t118 (not (tptp.rearsegP @t40 @t127)) @t129 @t62 @t47 (tptp.rearsegP @t2 @t127)))) % 1.52/1.75 (assume @p151 (forall @t130 (or @t119 (not (tptp.frontsegP @t40 @t127)) @t129 @t62 @t47 (tptp.frontsegP @t2 @t127)))) % 1.52/1.75 (assume @p152 (forall @t130 (or @t86 @t141 @t134 @t83 @t46 @t140))) % 1.52/1.75 (assume @p153 (forall @t130 (or @t93 (not (tptp.leq @t40 @t127)) @t134 @t83 @t46 (tptp.leq @t2 @t127)))) % 1.52/1.75 (assume @p154 (forall @t130 (or @t46 @t62 @t129 (= (tptp.cons @t2 (tptp.app @t40 @t127)) (tptp.app @t63 @t127))))) % 1.52/1.75 (assume @p155 (forall @t130 (or (not (tptp.memberP @t103 @t127)) @t62 @t47 @t134 @t145 (tptp.memberP @t2 @t127)))) % 1.52/1.75 (assume @p156 (forall @t41 (or (not @t126) (not @t114) @t62 @t46 @t115 @t106))) % 1.52/1.75 (assume @p157 (forall @t41 (or (not @t125) (not @t111) @t62 @t46 @t112 @t106))) % 1.52/1.75 (assume @p158 (forall @t130 (or (not (tptp.memberP @t63 @t127)) @t62 @t46 @t134 @t145 (= @t127 @t2)))) % 1.52/1.75 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 1.52/1.75 (assume @p160 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 1.52/1.75 (assume @p161 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 1.52/1.75 (assume @p162 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 1.52/1.75 (assume @p163 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 1.52/1.75 (assume @p164 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 1.52/1.75 (assume @p165 (forall @t41 (or @t117 @t62 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 1.52/1.75 (assume @p166 (forall @t41 (or @t135 @t83 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 1.52/1.75 (assume @p167 (forall @t150 (or @t149 @t134 @t46 @t147 @t62 @t144))) % 1.52/1.75 (assume @p168 (forall @t150 (or @t149 @t134 @t46 @t147 @t62 (= @t146 @t40)))) % 1.52/1.75 (assume @p169 (forall @t150 (or @t117 @t129 @t147 @t62 @t47 (tptp.segmentP (tptp.app (tptp.app @t146 @t2) @t127) @t40)))) % 1.52/1.75 (assume @p170 (forall @t150 (or (not (= (tptp.app @t103 @t127) @t146)) @t129 @t47 @t62 @t147 (tptp.segmentP @t146 @t40)))) % 1.52/1.75 (assume @p171 (forall @t150 (or @t151 @t147 @t62 @t134 @t46 (tptp.frontsegP @t40 @t146)))) % 1.52/1.75 (assume @p172 (forall @t150 (or (not (= @t152 @t146)) @t129 @t47 @t83 @t147 (tptp.memberP @t146 @t40)))) % 1.52/1.75 (assume @p173 (forall @t150 (or @t151 @t147 @t62 @t134 @t46 @t144))) % 1.52/1.75 (assume @p174 (forall @t41 (or (not (= @t55 @t124)) (not (= @t56 @t110)) @t47 @t62 @t106 @t97 @t54))) % 1.52/1.75 (assume @p175 (forall @t150 (or @t119 (not (= @t127 @t146)) @t62 @t47 @t153 @t134 (tptp.frontsegP @t133 (tptp.cons @t146 @t40))))) % 1.52/1.75 (assume @p176 (forall @t156 (or (not (= (tptp.app @t152 (tptp.cons @t40 @t146)) @t154)) @t147 @t129 @t47 @t83 (not (tptp.duplicatefreeP @t154)) @t155))) % 1.52/1.75 (assume @p177 (forall @t156 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t148)) @t154)) @t147 @t47 @t134 @t83 (not (tptp.equalelemsP @t154)) @t155 @t143))) % 1.52/1.75 (assume @p178 (forall @t161 (or @t160 @t155 @t129 @t47 @t153 @t83 (not (tptp.strictorderedP @t158)) @t159 @t157))) % 1.52/1.75 (assume @p179 (forall @t161 (or @t160 @t155 @t129 @t47 @t153 @t83 (not (tptp.totalorderedP @t158)) @t159 @t162))) % 1.52/1.75 (assume @p180 (forall @t161 (or @t160 @t155 @t129 @t47 @t153 @t83 (not (tptp.strictorderP @t158)) @t159 @t157 (tptp.lt @t146 @t40)))) % 1.52/1.75 (assume @p181 (forall @t161 (or @t160 @t155 @t129 @t47 @t153 @t83 (not (tptp.totalorderP @t158)) @t159 @t162 (tptp.leq @t146 @t40)))) % 1.52/1.75 (assume @p182 (forall @t161 (or @t93 @t120 (not (= (tptp.app (tptp.app @t127 (tptp.cons @t2 @t146)) (tptp.cons @t40 @t154)) @t158)) @t155 @t147 @t129 @t83 @t46 (not (tptp.cyclefreeP @t158)) @t159))) % 1.52/1.75 (assume @p183 @t163) % 1.52/1.75 (assume @p184 @t164) % 1.52/1.75 (assume @p185 @t165) % 1.52/1.75 (assume @p186 @t166) % 1.52/1.75 (assume @p187 @t167) % 1.52/1.75 (assume @p188 @t168) % 1.52/1.75 (assume @p189 @t170) % 1.52/1.75 (assume @p190 (or @t169 @t172)) % 1.52/1.75 (assume @p191 (forall @t188 (or @t187 @t186 @t185 @t184 @t181 @t180 @t177 @t174 @t169))) % 1.52/1.75 (assume @p192 (or @t190 @t169)) % 1.52/1.75 (assume @p193 @t192) % 1.52/1.75 (assume @p194 (or @t190 @t172)) % 1.52/1.75 (step @p195 :rule instantiate :premises (@p13) :args (@t193)) % 1.52/1.75 (step @p196 :rule eq-symm :args (@t73 @t2)) % 1.52/1.75 (step @p197 :rule refl :args (@t62)) % 1.52/1.75 (step @p198 :rule refl :args (@t46)) % 1.52/1.75 (step @p199 :rule nary_cong :premises (@p198 @p197 @p196) :args (@t74)) % 1.52/1.75 (step @p200 :rule cong :premises (@p199) :args (@t75)) % 1.52/1.75 (step @p201 :rule eq_resolve :premises (@p95 @p200)) % 1.52/1.75 (step @p202 :rule instantiate :premises (@p201) :args (@t196)) % 1.52/1.75 (step @p203 :rule instantiate :premises (@p12) :args (@t193)) % 1.52/1.75 (step @p204 :rule cnf_or_pos :args (@t204)) % 1.52/1.75 (step @p205 :rule reordering :premises (@p204) :args ((or @t203 @t201 @t199 (not @t204)))) % 1.52/1.75 (step @p206 :rule chain_m_resolution :premises (@p205 @p203 @p195 @p202) :args (@t199 @t205 (@list @t202 @t200 @t204))) % 1.52/1.75 (step @p207 :rule refl :args (@t54)) % 1.52/1.75 (step @p208 :rule eq-symm :args (@t94 @t2)) % 1.52/1.75 (step @p209 :rule refl :args (@t47)) % 1.52/1.75 (step @p210 :rule nary_cong :premises (@p209 @p208 @p207) :args (@t95)) % 1.52/1.75 (step @p211 :rule cong :premises (@p210) :args (@t96)) % 1.52/1.75 (step @p212 :rule eq_resolve :premises (@p107 @p211)) % 1.52/1.75 (step @p213 :rule instantiate :premises (@p212) :args (@t193)) % 1.52/1.75 (step @p214 :rule aci_norm :args ((= (or false @t206 @t62 @t62) (or @t206 @t62)))) % 1.52/1.75 (step @p215 :rule refl :args (@t206)) % 1.52/1.75 (step @p216 :rule evaluate :args ((not true))) % 1.52/1.75 (step @p217 :rule eq-refl :args (@t40)) % 1.52/1.75 (step @p218 :rule cong :premises (@p217) :args (@t207)) % 1.52/1.75 (step @p219 :rule trans :premises (@p218 @p216)) % 1.52/1.75 (step @p220 :rule nary_cong :premises (@p219 @p215 @p197 @p197) :args (@t208)) % 1.52/1.75 (step @p221 :rule trans :premises (@p220 @p214)) % 1.52/1.75 (step @p222 :rule cong :premises (@p221) :args ((forall @t209 @t208))) % 1.52/1.75 (step @p223 :rule quant-var-elim-eq :args ((= (forall @t4 @t210) @t208))) % 1.52/1.75 (step @p224 :rule aci_norm :args ((= @t101 @t210))) % 1.52/1.75 (step @p225 :rule cong :premises (@p224) :args (@t211)) % 1.52/1.75 (step @p226 :rule trans :premises (@p225 @p223)) % 1.52/1.75 (step @p227 :rule cong :premises (@p226) :args (@t212)) % 1.52/1.75 (step @p228 :rule quant-merge-prenex :args ((= @t212 @t213))) % 1.52/1.75 (step @p229 :rule symm :premises (@p228)) % 1.52/1.75 (step @p230 :rule quant_var_reordering :args ((= @t102 @t213))) % 1.52/1.75 (step @p231 :rule trans :premises (@p230 @p229 @p227)) % 1.52/1.75 (step @p232 :rule trans :premises (@p231 @p222)) % 1.52/1.75 (step @p233 :rule eq_resolve :premises (@p113 @p232)) % 1.52/1.75 (step @p234 :rule instantiate :premises (@p233) :args (@t193)) % 1.52/1.75 (step @p235 :rule cnf_or_pos :args (@t217)) % 1.52/1.75 (step @p236 :rule reordering :premises (@p235) :args ((or @t214 @t216 (not @t217)))) % 1.52/1.75 (step @p237 :rule chain_m_resolution :premises (@p236 @p184 @p234) :args (@t216 @t218 (@list @t164 @t217))) % 1.52/1.75 (step @p238 :rule aci_norm :args ((= @t170 @t169))) % 1.52/1.75 (step @p239 :rule eq_resolve :premises (@p189 @p238)) % 1.52/1.75 (step @p240 :rule bool-double-not-elim :args (@t215)) % 1.52/1.75 (step @p241 :rule refl :args (@t220)) % 1.52/1.75 (step @p242 :rule refl :args (@t221)) % 1.52/1.75 (step @p243 :rule refl :args (@t222)) % 1.52/1.75 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241 @p240) :args ((or @t222 @t221 @t220 (not @t216)))) % 1.52/1.75 (assume-push @p686 @t169) % 1.52/1.75 (assume-push @p687 @t167) % 1.52/1.75 (assume-push @p688 @t219) % 1.52/1.75 (assume-push @p689 @t216) % 1.52/1.75 (step @p249 :rule evaluate :args ((= false true))) % 1.52/1.75 (step @p250 :rule true_intro :premises (@p239)) % 1.52/1.75 (step @p251 :rule refl :args (tptp.nil)) % 1.52/1.75 (step @p252 :rule symm :premises (@p187)) % 1.52/1.75 (step @p253 :rule cong :premises (@p252 @p251) :args (@t171)) % 1.52/1.75 (step @p254 :rule symm :premises (@p688)) % 1.52/1.75 (step @p255 :rule cong :premises (@p187 @p254) :args (@t215)) % 1.52/1.75 (step @p256 :rule false_intro :premises (@p237)) % 1.52/1.75 (step @p257 :rule symm :premises (@p256)) % 1.52/1.75 (step @p258 :rule trans :premises (@p257 @p255 @p253 @p250)) % 1.52/1.75 (step @p259 false :rule eq_resolve :premises (@p258 @p249)) % 1.52/1.75 (step-pop @p690 :rule scope :premises (@p259)) % 1.52/1.75 (step-pop @p691 :rule scope :premises (@p690)) % 1.52/1.75 (step-pop @p692 :rule scope :premises (@p691)) % 1.52/1.75 (step-pop @p693 :rule scope :premises (@p692)) % 1.52/1.75 (step @p260 :rule process_scope :premises (@p693) :args (false)) % 1.52/1.75 (assume-push @p694 @t167) % 1.52/1.75 (assume-push @p695 @t169) % 1.52/1.75 (assume-push @p696 @t219) % 1.52/1.75 (assume-push @p697 @t216) % 1.52/1.75 (step @p269 :rule and_intro :premises (@p239 @p187 @p696 @p237)) % 1.52/1.75 (step-pop @p698 :rule scope :premises (@p269)) % 1.52/1.75 (step-pop @p699 :rule scope :premises (@p698)) % 1.52/1.75 (step-pop @p700 :rule scope :premises (@p699)) % 1.52/1.75 (step-pop @p701 :rule scope :premises (@p700)) % 1.52/1.75 (step @p270 :rule process_scope :premises (@p701) :args (@t223)) % 1.52/1.75 (step @p275 :rule implies_elim :premises (@p270)) % 1.52/1.75 (step @p276 :rule resolution :premises (@p275 @p260) :args (true @t223)) % 1.52/1.75 (step @p277 :rule not_and :premises (@p276)) % 1.52/1.75 (step @p278 :rule eq_resolve :premises (@p277 @p244)) % 1.52/1.75 (step @p279 :rule reordering :premises (@p278) :args ((or @t222 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cnf_and_neg :args (@t292)) % 1.52/1.75 (step @p503 :rule resolution :premises (@p502 @p501) :args (true @t292)) % 1.52/1.75 (step @p504 :rule eq_resolve :premises (@p503 @p484)) % 1.52/1.75 (step @p505 :rule chain_m_resolution :premises (@p504 @p187 @p280) :args (@t291 (@list false true) (@list @t167 @t219))) % 1.52/1.75 (step @p506 :rule cnf_or_pos :args (@t289)) % 1.52/1.75 (step @p507 :rule reordering :premises (@p506) :args ((or @t173 @t234 @t285 @t288 (not @t289)))) % 1.52/1.75 (step @p508 :rule chain_m_resolution :premises (@p507 @p8 @p186 @p505 @p481) :args (@t173 (@list false false true false) (@list @t1 @t166 @t288 @t289))) % 1.52/1.75 (step @p250 :rule true_intro :premises (@p239)) % 1.52/1.75 (step @p251 :rule refl :args (tptp.nil)) % 1.52/1.75 (step @p252 :rule symm :premises (@p187)) % 1.52/1.75 (step @p253 :rule cong :premises (@p252 @p251) :args (@t171)) % 1.52/1.75 (step @p509 :rule trans :premises (@p253 @p250)) % 1.52/1.75 (step @p510 :rule true_elim :premises (@p509)) % 1.52/1.75 (step @p511 :rule aci_norm :args ((= (or @t174 @t172 @t295) (or @t174 @t172 @t294 @t293 @t241 @t235)))) % 1.52/1.75 (step @p512 :rule aci_norm :args ((= (or @t294 @t293 @t241 @t235 false) @t295))) % 1.52/1.75 (step @p513 :rule eq-refl :args (@t176)) % 1.52/1.75 (step @p514 :rule cong :premises (@p513) :args (@t296)) % 1.52/1.75 (step @p515 :rule trans :premises (@p514 @p216)) % 1.52/1.75 (step @p516 :rule refl :args (@t235)) % 1.52/1.75 (step @p517 :rule refl :args (@t241)) % 1.52/1.75 (step @p518 :rule refl :args (@t293)) % 1.52/1.75 (step @p519 :rule refl :args (@t294)) % 1.52/1.75 (step @p520 :rule nary_cong :premises (@p519 @p518 @p517 @p516 @p515) :args (@t297)) % 1.52/1.75 (step @p521 :rule trans :premises (@p520 @p512)) % 1.52/1.75 (step @p522 :rule quant-var-elim-eq :args ((= (forall @t304 @t303) @t297))) % 1.52/1.75 (step @p523 :rule aci_norm :args ((= @t305 @t303))) % 1.52/1.75 (step @p524 :rule cong :premises (@p523) :args ((forall @t304 @t305))) % 1.52/1.75 (step @p525 :rule trans :premises (@p524 @p522)) % 1.52/1.75 (step @p526 :rule trans :premises (@p525 @p521)) % 1.52/1.75 (step @p527 :rule aci_norm :args ((= (or @t302 @t301 @t299 @t181 false @t298) @t305))) % 1.52/1.75 (step @p528 :rule refl :args (@t298)) % 1.52/1.75 (step @p529 :rule eq-refl :args (@t179)) % 1.52/1.75 (step @p530 :rule cong :premises (@p529) :args (@t306)) % 1.52/1.75 (step @p531 :rule trans :premises (@p530 @p216)) % 1.52/1.75 (step @p532 :rule refl :args (@t181)) % 1.52/1.75 (step @p533 :rule refl :args (@t299)) % 1.52/1.75 (step @p534 :rule refl :args (@t301)) % 1.52/1.75 (step @p535 :rule refl :args (@t302)) % 1.52/1.75 (step @p536 :rule nary_cong :premises (@p535 @p534 @p533 @p532 @p531 @p528) :args (@t307)) % 1.52/1.75 (step @p537 :rule trans :premises (@p536 @p527)) % 1.52/1.75 (step @p538 :rule cong :premises (@p537) :args ((forall @t304 @t307))) % 1.52/1.75 (step @p539 :rule trans :premises (@p538 @p526)) % 1.52/1.75 (step @p540 :rule quant-var-elim-eq :args ((= (forall @t312 @t311) @t307))) % 1.52/1.75 (step @p541 :rule aci_norm :args ((= @t313 @t311))) % 1.52/1.75 (step @p542 :rule cong :premises (@p541) :args (@t314)) % 1.52/1.75 (step @p543 :rule trans :premises (@p542 @p540)) % 1.52/1.75 (step @p544 :rule cong :premises (@p543) :args (@t315)) % 1.52/1.75 (step @p545 :rule quant-merge-prenex :args ((= @t315 @t316))) % 1.52/1.75 (step @p546 :rule symm :premises (@p545)) % 1.52/1.75 (step @p547 :rule quant_var_reordering :args ((= (forall @t317 @t313) @t316))) % 1.52/1.75 (step @p548 :rule trans :premises (@p547 @p546 @p544)) % 1.52/1.75 (step @p549 :rule trans :premises (@p548 @p539)) % 1.52/1.75 (step @p550 :rule aci_norm :args ((= (or @t310 @t309 @t185 false @t181 @t308 @t298) @t313))) % 1.52/1.75 (step @p551 :rule refl :args (@t308)) % 1.52/1.75 (step @p552 :rule eq-refl :args (@t183)) % 1.52/1.75 (step @p553 :rule cong :premises (@p552) :args (@t318)) % 1.52/1.75 (step @p554 :rule trans :premises (@p553 @p216)) % 1.52/1.75 (step @p555 :rule refl :args (@t185)) % 1.52/1.75 (step @p556 :rule refl :args (@t309)) % 1.52/1.75 (step @p557 :rule refl :args (@t310)) % 1.52/1.75 (step @p558 :rule nary_cong :premises (@p557 @p556 @p555 @p554 @p532 @p551 @p528) :args (@t319)) % 1.52/1.75 (step @p559 :rule trans :premises (@p558 @p550)) % 1.52/1.75 (step @p560 :rule cong :premises (@p559) :args ((forall @t317 @t319))) % 1.52/1.75 (step @p561 :rule trans :premises (@p560 @p549)) % 1.52/1.75 (step @p562 :rule quant-var-elim-eq :args ((= (forall @t322 @t321) @t319))) % 1.52/1.75 (step @p563 :rule aci_norm :args ((= @t323 @t321))) % 1.52/1.75 (step @p564 :rule cong :premises (@p563) :args (@t324)) % 1.52/1.75 (step @p565 :rule trans :premises (@p564 @p562)) % 1.52/1.75 (step @p566 :rule cong :premises (@p565) :args (@t325)) % 1.52/1.75 (step @p567 :rule quant-merge-prenex :args ((= @t325 @t326))) % 1.52/1.75 (step @p568 :rule symm :premises (@p567)) % 1.52/1.75 (step @p569 :rule quant_var_reordering :args ((= @t327 @t326))) % 1.52/1.75 (step @p570 :rule trans :premises (@p569 @p568 @p566)) % 1.52/1.75 (step @p571 :rule trans :premises (@p570 @p561)) % 1.52/1.75 (step @p572 :rule refl :args (@t172)) % 1.52/1.75 (step @p573 :rule refl :args (@t174)) % 1.52/1.75 (step @p574 :rule nary_cong :premises (@p573 @p572 @p571) :args (@t328)) % 1.52/1.75 (step @p575 :rule trans :premises (@p574 @p511)) % 1.52/1.75 (step @p576 :rule quant-miniscope-or :args ((= (forall @t188 @t329) @t328))) % 1.52/1.75 (step @p577 :rule aci_norm :args ((= @t330 @t329))) % 1.52/1.75 (step @p578 :rule cong :premises (@p577) :args ((forall @t188 @t330))) % 1.52/1.75 (step @p579 :rule trans :premises (@p578 @p576)) % 1.52/1.75 (step @p580 :rule trans :premises (@p579 @p575)) % 1.52/1.75 (step @p581 :rule eq-symm :args (@t176 @t175)) % 1.52/1.75 (step @p582 :rule cong :premises (@p581) :args (@t177)) % 1.52/1.75 (step @p583 :rule eq-symm :args (@t179 @t178)) % 1.52/1.75 (step @p584 :rule cong :premises (@p583) :args (@t180)) % 1.52/1.75 (step @p585 :rule eq-symm :args (@t183 @t182)) % 1.52/1.75 (step @p586 :rule cong :premises (@p585) :args (@t184)) % 1.52/1.75 (step @p587 :rule refl :args (@t186)) % 1.52/1.75 (step @p588 :rule refl :args (@t187)) % 1.52/1.75 (step @p589 :rule nary_cong :premises (@p588 @p587 @p555 @p586 @p532 @p584 @p582 @p573 @p572) :args (@t191)) % 1.52/1.75 (step @p590 :rule cong :premises (@p589) :args (@t192)) % 1.52/1.75 (step @p591 :rule trans :premises (@p590 @p580)) % 1.52/1.75 (step @p592 :rule eq_resolve :premises (@p193 @p591)) % 1.52/1.75 (step @p593 :rule reordering :premises (@p592) :args ((or @t172 @t174 @t294 @t293 @t241 @t235))) % 1.52/1.75 (step @p594 :rule chain_m_resolution :premises (@p593 @p510 @p508 @p462 @p313 @p310) :args (@t293 (@list false false false false false) (@list @t171 @t173 @t282 @t233 @t230))) % 1.52/1.75 (step @p595 :rule reordering :premises (@p194) :args ((or @t172 @t190))) % 1.52/1.75 (step @p596 :rule chain_m_resolution :premises (@p595 @p510) :args (@t190 @t290 (@list @t171))) % 1.52/1.75 (step @p597 :rule refl :args (@t332)) % 1.52/1.75 (step @p598 :rule refl :args (@t333)) % 1.52/1.75 (step @p599 :rule refl :args (@t334)) % 1.52/1.75 (step @p600 :rule refl :args (@t335)) % 1.52/1.75 (step @p601 :rule refl :args (@t336)) % 1.52/1.75 (step @p602 :rule refl :args (@t337)) % 1.52/1.75 (step @p603 :rule refl :args (@t338)) % 1.52/1.75 (step @p604 :rule refl :args (@t240)) % 1.52/1.75 (step @p605 :rule refl :args (@t339)) % 1.52/1.75 (step @p606 :rule bool-double-not-elim :args (@t189)) % 1.52/1.75 (step @p607 :rule refl :args (@t340)) % 1.52/1.75 (step @p608 :rule nary_cong :premises (@p243 @p607 @p606 @p605 @p604 @p603 @p602 @p601 @p600 @p599 @p598 @p597) :args ((or @t222 @t340 (not @t190) @t339 @t240 @t338 @t337 @t336 @t335 @t334 @t333 @t332))) % 1.52/1.75 (assume-push @p748 @t167) % 1.52/1.75 (assume-push @p749 @t168) % 1.52/1.75 (assume-push @p750 @t190) % 1.52/1.75 (assume-push @p751 @t293) % 1.52/1.75 (assume-push @p752 @t224) % 1.52/1.75 (assume-push @p753 @t279) % 1.52/1.75 (assume-push @p754 @t277) % 1.52/1.75 (assume-push @p755 @t252) % 1.52/1.75 (assume-push @p756 @t273) % 1.52/1.75 (assume-push @p757 @t268) % 1.52/1.75 (assume-push @p758 @t263) % 1.52/1.75 (assume-push @p759 @t190) % 1.52/1.75 (assume-push @p760 @t224) % 1.52/1.75 (assume-push @p761 @t252) % 1.52/1.75 (assume-push @p762 @t273) % 1.52/1.75 (assume-push @p763 @t279) % 1.52/1.75 (assume-push @p764 @t263) % 1.52/1.75 (assume-push @p765 @t268) % 1.52/1.75 (assume-push @p766 @t168) % 1.52/1.75 (assume-push @p767 @t293) % 1.52/1.75 (assume-push @p768 @t167) % 1.52/1.75 (assume-push @p769 @t277) % 1.52/1.75 (step @p631 :rule false_intro :premises (@p596)) % 1.52/1.75 (step @p632 :rule symm :premises (@p446)) % 1.52/1.75 (step @p633 :rule refl :args (@t256)) % 1.52/1.75 (step @p634 :rule symm :premises (@p753)) % 1.52/1.75 (step @p635 :rule cong :premises (@p634 @p633) :args (@t262)) % 1.52/1.75 (step @p636 :rule symm :premises (@p433)) % 1.52/1.75 (step @p637 :rule symm :premises (@p188)) % 1.52/1.75 (step @p638 :rule trans :premises (@p637 @p446 @p636)) % 1.52/1.75 (step @p639 :rule refl :args (@t232)) % 1.52/1.75 (step @p640 :rule cong :premises (@p639 @p638) :args (@t281)) % 1.52/1.75 (step @p641 :rule trans :premises (@p751 @p640)) % 1.52/1.75 (step @p642 :rule cong :premises (@p641) :args ((tptp.tl tptp.sk4))) % 1.52/1.75 (step @p643 :rule symm :premises (@p752)) % 1.52/1.75 (step @p644 :rule trans :premises (@p643 @p187)) % 1.52/1.75 (step @p645 :rule cong :premises (@p644) :args (@t276)) % 1.52/1.75 (step @p646 :rule trans :premises (@p454 @p645 @p642 @p758 @p635 @p632)) % 1.52/1.75 (step @p393 :rule symm :premises (@p384)) % 1.52/1.75 (step @p647 :rule trans :premises (@p393 @p643)) % 1.52/1.75 (step @p648 :rule cong :premises (@p647 @p646) :args (@t331)) % 1.52/1.75 (step @p649 :rule trans :premises (@p648 @p631)) % 1.52/1.75 (step @p650 :rule false_elim :premises (@p649)) % 1.52/1.75 (step-pop @p770 :rule scope :premises (@p650)) % 1.52/1.75 (step-pop @p771 :rule scope :premises (@p770)) % 1.52/1.75 (step-pop @p772 :rule scope :premises (@p771)) % 1.52/1.75 (step-pop @p773 :rule scope :premises (@p772)) % 1.52/1.75 (step-pop @p774 :rule scope :premises (@p773)) % 1.52/1.75 (step-pop @p775 :rule scope :premises (@p774)) % 1.52/1.75 (step-pop @p776 :rule scope :premises (@p775)) % 1.52/1.75 (step-pop @p777 :rule scope :premises (@p776)) % 1.52/1.75 (step-pop @p778 :rule scope :premises (@p777)) % 1.52/1.75 (step-pop @p779 :rule scope :premises (@p778)) % 1.52/1.75 (step-pop @p780 :rule scope :premises (@p779)) % 1.52/1.75 (step @p651 :rule process_scope :premises (@p780) :args (@t332)) % 1.52/1.75 (step @p663 :rule and_intro :premises (@p596 @p752 @p384 @p446 @p753 @p758 @p433 @p188 @p751 @p187 @p454)) % 1.52/1.75 (step @p664 :rule modus_ponens :premises (@p663 @p651)) % 1.52/1.75 (step-pop @p781 :rule scope :premises (@p664)) % 1.52/1.75 (step-pop @p782 :rule scope :premises (@p781)) % 1.52/1.75 (step-pop @p783 :rule scope :premises (@p782)) % 1.52/1.75 (step-pop @p784 :rule scope :premises (@p783)) % 1.52/1.75 (step-pop @p785 :rule scope :premises (@p784)) % 1.52/1.75 (step-pop @p786 :rule scope :premises (@p785)) % 1.52/1.75 (step-pop @p787 :rule scope :premises (@p786)) % 1.52/1.75 (step-pop @p788 :rule scope :premises (@p787)) % 1.52/1.75 (step-pop @p789 :rule scope :premises (@p788)) % 1.52/1.75 (step-pop @p790 :rule scope :premises (@p789)) % 1.52/1.75 (step-pop @p791 :rule scope :premises (@p790)) % 1.52/1.75 (step @p665 :rule process_scope :premises (@p791) :args (@t332)) % 1.52/1.75 (step @p677 :rule implies_elim :premises (@p665)) % 1.52/1.75 (step @p678 :rule cnf_and_neg :args (@t341)) % 1.52/1.75 (step @p679 :rule resolution :premises (@p678 @p677) :args (true @t341)) % 1.52/1.75 (step @p680 :rule eq_resolve :premises (@p679 @p608)) % 1.52/1.75 (step @p681 :rule reordering :premises (@p680) :args ((or @t189 @t222 @t340 @t339 @t240 @t338 @t337 @t336 @t335 @t334 @t333 @t332))) % 1.52/1.75 (step @p682 :rule chain_m_resolution :premises (@p681 @p596 @p187 @p188 @p594 @p283 @p458 @p454 @p384 @p446 @p433 @p425) :args (@t332 (@list true false false false false false false false false false false) (@list @t189 @t167 @t168 @t293 @t224 @t279 @t277 @t252 @t273 @t268 @t263))) % 1.52/1.75 (step @p683 :rule cnf_or_pos :args (@t344)) % 1.52/1.75 (step @p684 :rule reordering :premises (@p683) :args ((or @t201 @t343 @t342 @t331 (not @t344)))) % 1.52/1.75 (step @p685 false :rule chain_m_resolution :premises (@p684 @p682 @p411 @p376 @p347 @p195) :args (false (@list true false false false false) (@list @t331 @t254 @t344 @t238 @t200))) % 1.52/1.75 ) % 1.52/1.76 % SZS output end Proof % 1.52/1.76 % cvc5 exiting %------------------------------------------------------------------------------