%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC418-1 : 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 : n017.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 08:59:15 AM UTC 2026 % Result : Unsatisfiable 34.13s 34.31s % Output : Proof 34.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC418-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n017.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:45:16 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.51/15.76 --- Run --no-e-matching --full-saturate-quant at 6... % 21.63/21.80 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.61/27.84 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.62/33.89 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.13/34.31 % SZS status Unsatisfiable % 34.13/34.31 % SZS output start Proof % 34.13/34.33 ( % 34.13/34.33 (declare-sort $$unsorted 0) % 34.13/34.33 (declare-const tptp.sk4 $$unsorted) % 34.13/34.33 (declare-const tptp.sk2 $$unsorted) % 34.13/34.33 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.nil $$unsorted) % 34.13/34.33 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.sk1 $$unsorted) % 34.13/34.33 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skac2 $$unsorted) % 34.13/34.33 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.sk3 $$unsorted) % 34.13/34.33 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skac3 $$unsorted) % 34.13/34.33 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.33 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.13/34.33 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.13/34.33 (define @t1 () (tptp.ssList tptp.nil)) % 34.13/34.33 (define @t2 () (@var "U" $$unsorted)) % 34.13/34.33 (define @t3 () (tptp.skaf83 @t2)) % 34.13/34.33 (define @t4 () (@list @t2)) % 34.13/34.33 (define @t5 () (tptp.skaf82 @t2)) % 34.13/34.33 (define @t6 () (tptp.skaf81 @t2)) % 34.13/34.33 (define @t7 () (tptp.skaf80 @t2)) % 34.13/34.33 (define @t8 () (tptp.skaf79 @t2)) % 34.13/34.33 (define @t9 () (tptp.skaf78 @t2)) % 34.13/34.33 (define @t10 () (tptp.skaf77 @t2)) % 34.13/34.33 (define @t11 () (tptp.skaf76 @t2)) % 34.13/34.33 (define @t12 () (tptp.skaf75 @t2)) % 34.13/34.33 (define @t13 () (tptp.skaf74 @t2)) % 34.13/34.33 (define @t14 () (tptp.skaf73 @t2)) % 34.13/34.33 (define @t15 () (tptp.skaf72 @t2)) % 34.13/34.33 (define @t16 () (tptp.skaf71 @t2)) % 34.13/34.33 (define @t17 () (tptp.skaf70 @t2)) % 34.13/34.33 (define @t18 () (tptp.skaf69 @t2)) % 34.13/34.33 (define @t19 () (tptp.skaf68 @t2)) % 34.13/34.33 (define @t20 () (tptp.skaf67 @t2)) % 34.13/34.33 (define @t21 () (tptp.skaf66 @t2)) % 34.13/34.33 (define @t22 () (tptp.skaf65 @t2)) % 34.13/34.33 (define @t23 () (tptp.skaf64 @t2)) % 34.13/34.33 (define @t24 () (tptp.skaf63 @t2)) % 34.13/34.33 (define @t25 () (tptp.skaf62 @t2)) % 34.13/34.33 (define @t26 () (tptp.skaf61 @t2)) % 34.13/34.33 (define @t27 () (tptp.skaf60 @t2)) % 34.13/34.33 (define @t28 () (tptp.skaf59 @t2)) % 34.13/34.33 (define @t29 () (tptp.skaf58 @t2)) % 34.13/34.33 (define @t30 () (tptp.skaf57 @t2)) % 34.13/34.33 (define @t31 () (tptp.skaf56 @t2)) % 34.13/34.33 (define @t32 () (tptp.skaf55 @t2)) % 34.13/34.33 (define @t33 () (tptp.skaf54 @t2)) % 34.13/34.33 (define @t34 () (tptp.skaf53 @t2)) % 34.13/34.33 (define @t35 () (tptp.skaf52 @t2)) % 34.13/34.33 (define @t36 () (tptp.skaf51 @t2)) % 34.13/34.33 (define @t37 () (tptp.skaf50 @t2)) % 34.13/34.33 (define @t38 () (tptp.skaf49 @t2)) % 34.13/34.33 (define @t39 () (tptp.skaf44 @t2)) % 34.13/34.33 (define @t40 () (@var "V" $$unsorted)) % 34.13/34.33 (define @t41 () (@list @t2 @t40)) % 34.13/34.33 (define @t42 () (tptp.skaf47 @t2 @t40)) % 34.13/34.33 (define @t43 () (tptp.skaf46 @t2 @t40)) % 34.13/34.33 (define @t44 () (tptp.skaf45 @t2 @t40)) % 34.13/34.33 (define @t45 () (tptp.skaf42 @t2 @t40)) % 34.13/34.33 (define @t46 () (not (tptp.ssItem @t2))) % 34.13/34.33 (define @t47 () (not (tptp.ssList @t2))) % 34.13/34.33 (define @t48 () (tptp.cons @t2 tptp.nil)) % 34.13/34.33 (define @t49 () (tptp.ssItem @t40)) % 34.13/34.33 (define @t50 () (tptp.duplicatefreeP @t2)) % 34.13/34.33 (define @t51 () (tptp.app @t2 tptp.nil)) % 34.13/34.33 (define @t52 () (or @t47 (= @t51 @t2))) % 34.13/34.33 (define @t53 () (forall @t4 @t52)) % 34.13/34.33 (define @t54 () (tptp.app tptp.nil @t2)) % 34.13/34.33 (define @t55 () (or @t47 (= @t54 @t2))) % 34.13/34.33 (define @t56 () (forall @t4 @t55)) % 34.13/34.33 (define @t57 () (= tptp.nil @t2)) % 34.13/34.33 (define @t58 () (tptp.tl @t2)) % 34.13/34.33 (define @t59 () (tptp.hd @t2)) % 34.13/34.33 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 34.13/34.33 (define @t61 () (not @t57)) % 34.13/34.33 (define @t62 () (tptp.rearsegP tptp.nil @t2)) % 34.13/34.33 (define @t63 () (tptp.frontsegP tptp.nil @t2)) % 34.13/34.33 (define @t64 () (tptp.app @t40 @t2)) % 34.13/34.33 (define @t65 () (not (tptp.ssList @t40))) % 34.13/34.33 (define @t66 () (tptp.cons @t2 @t40)) % 34.13/34.33 (define @t67 () (tptp.cyclefreeP @t2)) % 34.13/34.33 (define @t68 () (tptp.equalelemsP @t2)) % 34.13/34.33 (define @t69 () (tptp.strictorderedP @t2)) % 34.13/34.33 (define @t70 () (tptp.totalorderedP @t2)) % 34.13/34.33 (define @t71 () (tptp.strictorderP @t2)) % 34.13/34.33 (define @t72 () (tptp.totalorderP @t2)) % 34.13/34.33 (define @t73 () (tptp.tl @t66)) % 34.13/34.33 (define @t74 () (or @t46 @t65 (= @t73 @t40))) % 34.13/34.33 (define @t75 () (forall @t41 @t74)) % 34.13/34.33 (define @t76 () (tptp.hd @t66)) % 34.13/34.33 (define @t77 () (or @t46 @t65 (= @t76 @t2))) % 34.13/34.33 (define @t78 () (forall @t41 @t77)) % 34.13/34.33 (define @t79 () (= @t40 @t2)) % 34.13/34.33 (define @t80 () (tptp.neq @t40 @t2)) % 34.13/34.33 (define @t81 () (or @t47 @t65 @t80 @t79)) % 34.13/34.33 (define @t82 () (forall @t41 @t81)) % 34.13/34.33 (define @t83 () (not @t49)) % 34.13/34.33 (define @t84 () (tptp.leq @t2 @t40)) % 34.13/34.33 (define @t85 () (tptp.lt @t2 @t40)) % 34.13/34.33 (define @t86 () (not @t85)) % 34.13/34.33 (define @t87 () (tptp.lt @t40 @t2)) % 34.13/34.33 (define @t88 () (not (tptp.gt @t2 @t40))) % 34.13/34.33 (define @t89 () (tptp.gt @t40 @t2)) % 34.13/34.33 (define @t90 () (tptp.leq @t40 @t2)) % 34.13/34.33 (define @t91 () (not (tptp.geq @t2 @t40))) % 34.13/34.33 (define @t92 () (tptp.geq @t40 @t2)) % 34.13/34.33 (define @t93 () (not @t84)) % 34.13/34.33 (define @t94 () (tptp.cons @t3 @t5)) % 34.13/34.33 (define @t95 () (or @t47 (= @t94 @t2) @t57)) % 34.13/34.33 (define @t96 () (forall @t4 @t95)) % 34.13/34.33 (define @t97 () (= @t2 @t40)) % 34.13/34.33 (define @t98 () (not @t97)) % 34.13/34.33 (define @t99 () (tptp.cons @t40 @t2)) % 34.13/34.33 (define @t100 () (not (tptp.neq @t2 @t40))) % 34.13/34.33 (define @t101 () (or @t98 @t100 @t65 @t47)) % 34.13/34.33 (define @t102 () (forall @t41 @t101)) % 34.13/34.33 (define @t103 () (tptp.app @t2 @t40)) % 34.13/34.33 (define @t104 () (= @t103 tptp.nil)) % 34.13/34.33 (define @t105 () (not @t104)) % 34.13/34.33 (define @t106 () (= tptp.nil @t40)) % 34.13/34.33 (define @t107 () (tptp.app @t48 @t40)) % 34.13/34.33 (define @t108 () (or @t46 @t65 (= @t107 @t66))) % 34.13/34.33 (define @t109 () (forall @t41 @t108)) % 34.13/34.33 (define @t110 () (tptp.hd @t40)) % 34.13/34.33 (define @t111 () (tptp.strictorderedP @t40)) % 34.13/34.33 (define @t112 () (tptp.strictorderedP @t66)) % 34.13/34.33 (define @t113 () (not @t112)) % 34.13/34.33 (define @t114 () (tptp.totalorderedP @t40)) % 34.13/34.33 (define @t115 () (tptp.totalorderedP @t66)) % 34.13/34.33 (define @t116 () (not @t115)) % 34.13/34.33 (define @t117 () (not (tptp.segmentP @t2 @t40))) % 34.13/34.33 (define @t118 () (not (tptp.rearsegP @t2 @t40))) % 34.13/34.33 (define @t119 () (not (tptp.frontsegP @t2 @t40))) % 34.13/34.33 (define @t120 () (not @t90)) % 34.13/34.33 (define @t121 () (tptp.tl @t40)) % 34.13/34.33 (define @t122 () (tptp.lt @t2 @t110)) % 34.13/34.33 (define @t123 () (tptp.leq @t2 @t110)) % 34.13/34.33 (define @t124 () (@var "W" $$unsorted)) % 34.13/34.33 (define @t125 () (tptp.app @t124 @t2)) % 34.13/34.33 (define @t126 () (not (tptp.ssList @t124))) % 34.13/34.33 (define @t127 () (@list @t2 @t40 @t124)) % 34.13/34.33 (define @t128 () (tptp.app @t2 @t124)) % 34.13/34.33 (define @t129 () (tptp.cons @t40 @t124)) % 34.13/34.33 (define @t130 () (tptp.cons @t124 @t2)) % 34.13/34.33 (define @t131 () (not (tptp.ssItem @t124))) % 34.13/34.33 (define @t132 () (not (tptp.memberP @t2 @t40))) % 34.13/34.33 (define @t133 () (not (= @t103 @t124))) % 34.13/34.33 (define @t134 () (not @t106)) % 34.13/34.33 (define @t135 () (or @t61 @t134 @t65 @t47 @t104)) % 34.13/34.33 (define @t136 () (forall @t41 @t135)) % 34.13/34.33 (define @t137 () (tptp.lt @t2 @t124)) % 34.13/34.33 (define @t138 () (not (tptp.lt @t40 @t124))) % 34.13/34.33 (define @t139 () (tptp.app @t124 @t40)) % 34.13/34.33 (define @t140 () (= @t40 @t124)) % 34.13/34.33 (define @t141 () (= @t2 @t124)) % 34.13/34.33 (define @t142 () (tptp.memberP @t40 @t124)) % 34.13/34.33 (define @t143 () (@var "X" $$unsorted)) % 34.13/34.33 (define @t144 () (not (tptp.ssList @t143))) % 34.13/34.33 (define @t145 () (tptp.cons @t124 @t143)) % 34.13/34.33 (define @t146 () (not (= @t66 @t145))) % 34.13/34.33 (define @t147 () (@list @t2 @t40 @t124 @t143)) % 34.13/34.33 (define @t148 () (not (tptp.frontsegP @t66 @t145))) % 34.13/34.33 (define @t149 () (tptp.app @t2 @t129)) % 34.13/34.33 (define @t150 () (not (tptp.ssItem @t143))) % 34.13/34.33 (define @t151 () (@var "Y" $$unsorted)) % 34.13/34.33 (define @t152 () (not (tptp.ssList @t151))) % 34.13/34.33 (define @t153 () (@list @t2 @t40 @t124 @t143 @t151)) % 34.13/34.33 (define @t154 () (tptp.lt @t40 @t143)) % 34.13/34.33 (define @t155 () (@var "Z" $$unsorted)) % 34.13/34.33 (define @t156 () (not (tptp.ssList @t155))) % 34.13/34.33 (define @t157 () (not (= (tptp.app @t149 (tptp.cons @t143 @t151)) @t155))) % 34.13/34.33 (define @t158 () (@list @t2 @t40 @t124 @t143 @t151 @t155)) % 34.13/34.33 (define @t159 () (tptp.leq @t40 @t143)) % 34.13/34.33 (define @t160 () (tptp.ssList tptp.sk3)) % 34.13/34.33 (define @t161 () (tptp.ssList tptp.sk4)) % 34.13/34.33 (define @t162 () (tptp.neq tptp.sk2 tptp.nil)) % 34.13/34.33 (define @t163 () (@var "B" $$unsorted)) % 34.13/34.33 (define @t164 () (@var "A" $$unsorted)) % 34.13/34.33 (define @t165 () (tptp.cons @t164 tptp.nil)) % 34.13/34.33 (define @t166 () (@var "C" $$unsorted)) % 34.13/34.33 (define @t167 () (tptp.app (tptp.app @t166 @t165) @t163)) % 34.13/34.33 (define @t168 () (not (= @t167 tptp.sk1))) % 34.13/34.33 (define @t169 () (tptp.app (tptp.app @t163 @t165) @t166)) % 34.13/34.33 (define @t170 () (not (= @t169 tptp.sk2))) % 34.13/34.33 (define @t171 () (not (tptp.ssList @t166))) % 34.13/34.33 (define @t172 () (not (tptp.ssList @t163))) % 34.13/34.33 (define @t173 () (not (tptp.ssItem @t164))) % 34.13/34.33 (define @t174 () (or @t173 @t172 @t171 @t170 @t168)) % 34.13/34.33 (define @t175 () (@list @t164 @t163 @t166)) % 34.13/34.33 (define @t176 () (forall @t175 @t174)) % 34.13/34.33 (define @t177 () (= tptp.nil tptp.sk4)) % 34.13/34.33 (define @t178 () (not @t177)) % 34.13/34.33 (define @t179 () (tptp.neq tptp.sk4 tptp.nil)) % 34.13/34.33 (define @t180 () (not @t179)) % 34.13/34.33 (define @t181 () (tptp.neq tptp.nil tptp.sk4)) % 34.13/34.33 (define @t182 () (not @t181)) % 34.13/34.33 (define @t183 () (@var "D" $$unsorted)) % 34.13/34.33 (define @t184 () (tptp.hd tptp.sk4)) % 34.13/34.33 (define @t185 () (not (= @t184 @t183))) % 34.13/34.33 (define @t186 () (tptp.cons @t183 tptp.nil)) % 34.13/34.33 (define @t187 () (not (= @t186 @t166))) % 34.13/34.33 (define @t188 () (not (tptp.ssItem @t183))) % 34.13/34.33 (define @t189 () (tptp.app @t163 @t166)) % 34.13/34.33 (define @t190 () (not (= @t189 @t164))) % 34.13/34.33 (define @t191 () (tptp.tl tptp.sk4)) % 34.13/34.33 (define @t192 () (not (= @t191 @t163))) % 34.13/34.33 (define @t193 () (= tptp.sk3 @t164)) % 34.13/34.33 (define @t194 () (not (tptp.ssList @t164))) % 34.13/34.33 (define @t195 () (or @t194 @t193 @t172 @t171 @t192 @t190 @t188 @t187 @t185 @t182 @t182 @t180)) % 34.13/34.33 (define @t196 () (@list @t164 @t163 @t166 @t183)) % 34.13/34.33 (define @t197 () (forall @t196 @t195)) % 34.13/34.33 (define @t198 () (@list tptp.sk4)) % 34.13/34.33 (define @t199 () (not (tptp.neq @t40 @t40))) % 34.13/34.33 (define @t200 () (not (= @t40 @t40))) % 34.13/34.33 (define @t201 () (or @t200 @t199 @t65 @t65)) % 34.13/34.33 (define @t202 () (@list @t40)) % 34.13/34.33 (define @t203 () (or @t98 @t98 @t100 @t65 @t47)) % 34.13/34.33 (define @t204 () (forall @t4 @t101)) % 34.13/34.33 (define @t205 () (forall @t202 @t204)) % 34.13/34.33 (define @t206 () (@list @t40 @t2)) % 34.13/34.33 (define @t207 () (forall @t206 @t101)) % 34.13/34.33 (define @t208 () (not @t161)) % 34.13/34.33 (define @t209 () (tptp.neq tptp.sk4 tptp.sk4)) % 34.13/34.33 (define @t210 () (not @t209)) % 34.13/34.33 (define @t211 () (or @t210 @t208)) % 34.13/34.33 (define @t212 () (@list false false)) % 34.13/34.33 (define @t213 () (= false true)) % 34.13/34.33 (define @t214 () (and @t179 @t177 @t210)) % 34.13/34.33 (define @t215 () (tptp.ssList @t191)) % 34.13/34.33 (define @t216 () (or @t208 @t215 @t177)) % 34.13/34.33 (define @t217 () (@list true false false)) % 34.13/34.33 (define @t218 () (tptp.ssItem @t184)) % 34.13/34.33 (define @t219 () (or @t208 @t218 @t177)) % 34.13/34.33 (define @t220 () (= tptp.sk1 @t167)) % 34.13/34.33 (define @t221 () (not @t220)) % 34.13/34.33 (define @t222 () (= tptp.sk2 @t169)) % 34.13/34.33 (define @t223 () (not @t222)) % 34.13/34.33 (define @t224 () (or @t173 @t172 @t171 @t223 @t221)) % 34.13/34.33 (define @t225 () (tptp.app tptp.sk3 tptp.nil)) % 34.13/34.33 (define @t226 () (= tptp.sk3 @t225)) % 34.13/34.33 (define @t227 () (not @t160)) % 34.13/34.33 (define @t228 () (or @t227 @t226)) % 34.13/34.33 (define @t229 () (tptp.cons @t184 tptp.nil)) % 34.13/34.33 (define @t230 () (tptp.ssList @t229)) % 34.13/34.33 (define @t231 () (not @t1)) % 34.13/34.33 (define @t232 () (not @t218)) % 34.13/34.33 (define @t233 () (or @t232 @t231 @t230)) % 34.13/34.33 (define @t234 () (@list false false false)) % 34.13/34.33 (define @t235 () (tptp.app @t191 @t229)) % 34.13/34.33 (define @t236 () (tptp.ssList @t235)) % 34.13/34.33 (define @t237 () (not @t215)) % 34.13/34.33 (define @t238 () (not @t230)) % 34.13/34.33 (define @t239 () (or @t238 @t237 @t236)) % 34.13/34.33 (define @t240 () (or @t208 @t231 @t181 (= tptp.sk4 tptp.nil))) % 34.13/34.33 (define @t241 () (forall @t41 (or @t47 @t65 @t80 @t97))) % 34.13/34.33 (define @t242 () (or @t208 @t231 @t181 @t177)) % 34.13/34.33 (define @t243 () (@list false)) % 34.13/34.33 (define @t244 () (and @t179 @t177 @t182)) % 34.13/34.33 (define @t245 () (= tptp.sk3 @t235)) % 34.13/34.33 (define @t246 () (not @t236)) % 34.13/34.33 (define @t247 () (or @t237 @t246 @t245 @t238 @t232)) % 34.13/34.33 (define @t248 () (or @t246 @t245 @t238 @t232)) % 34.13/34.33 (define @t249 () (not (= @t184 @t184))) % 34.13/34.33 (define @t250 () (or @t246 @t245 @t238 @t232 @t249)) % 34.13/34.33 (define @t251 () (not (= @t183 @t184))) % 34.13/34.33 (define @t252 () (not (tptp.ssList @t186))) % 34.13/34.33 (define @t253 () (tptp.app @t191 @t186)) % 34.13/34.33 (define @t254 () (= tptp.sk3 @t253)) % 34.13/34.33 (define @t255 () (not (tptp.ssList @t253))) % 34.13/34.33 (define @t256 () (or @t251 @t255 @t254 @t252 @t188 @t251)) % 34.13/34.33 (define @t257 () (@list @t183)) % 34.13/34.33 (define @t258 () (or @t255 @t254 @t252 @t188 @t251)) % 34.13/34.33 (define @t259 () (not (= @t186 @t186))) % 34.13/34.33 (define @t260 () (or @t255 @t254 @t252 @t188 @t259 @t251)) % 34.13/34.33 (define @t261 () (not (= @t166 @t186))) % 34.13/34.33 (define @t262 () (tptp.app @t191 @t166)) % 34.13/34.33 (define @t263 () (= tptp.sk3 @t262)) % 34.13/34.33 (define @t264 () (not (tptp.ssList @t262))) % 34.13/34.33 (define @t265 () (or @t261 @t264 @t263 @t171 @t188 @t261 @t251)) % 34.13/34.33 (define @t266 () (@list @t166)) % 34.13/34.33 (define @t267 () (or @t264 @t263 @t171 @t188 @t261 @t251)) % 34.13/34.33 (define @t268 () (forall @t266 @t267)) % 34.13/34.33 (define @t269 () (forall @t257 @t268)) % 34.13/34.33 (define @t270 () (forall (@list @t183 @t166) @t267)) % 34.13/34.33 (define @t271 () (@list @t166 @t183)) % 34.13/34.33 (define @t272 () (not (= @t262 @t262))) % 34.13/34.33 (define @t273 () (or @t264 @t263 @t171 @t272 @t188 @t261 @t251)) % 34.13/34.33 (define @t274 () (not (= @t164 @t262))) % 34.13/34.33 (define @t275 () (or @t274 @t194 @t193 @t171 @t274 @t188 @t261 @t251)) % 34.13/34.33 (define @t276 () (@list @t164)) % 34.13/34.33 (define @t277 () (or @t194 @t193 @t171 @t274 @t188 @t261 @t251)) % 34.13/34.33 (define @t278 () (forall @t276 @t277)) % 34.13/34.33 (define @t279 () (forall @t271 @t278)) % 34.13/34.33 (define @t280 () (forall (@list @t166 @t183 @t164) @t277)) % 34.13/34.33 (define @t281 () (@list @t164 @t166 @t183)) % 34.13/34.33 (define @t282 () (forall @t281 @t277)) % 34.13/34.33 (define @t283 () (or @t237 @t282)) % 34.13/34.33 (define @t284 () (or @t237 @t277)) % 34.13/34.33 (define @t285 () (or @t194 @t193 @t237 @t171 @t274 @t188 @t261 @t251)) % 34.13/34.33 (define @t286 () (not (= @t191 @t191))) % 34.13/34.33 (define @t287 () (or @t194 @t193 @t237 @t286 @t171 @t274 @t188 @t261 @t251)) % 34.13/34.33 (define @t288 () (not (= @t164 @t189))) % 34.13/34.33 (define @t289 () (not (= @t163 @t191))) % 34.13/34.33 (define @t290 () (or @t289 @t194 @t193 @t172 @t289 @t171 @t288 @t188 @t261 @t251)) % 34.13/34.33 (define @t291 () (@list @t163)) % 34.13/34.33 (define @t292 () (or @t194 @t193 @t172 @t289 @t171 @t288 @t188 @t261 @t251)) % 34.13/34.33 (define @t293 () (forall @t291 @t292)) % 34.13/34.33 (define @t294 () (forall @t281 @t293)) % 34.13/34.33 (define @t295 () (forall (@list @t164 @t166 @t183 @t163) @t292)) % 34.13/34.33 (define @t296 () (forall @t196 @t292)) % 34.13/34.33 (define @t297 () (or @t182 @t180 @t296)) % 34.13/34.33 (define @t298 () (or @t182 @t180 @t292)) % 34.13/34.33 (define @t299 () (or @t194 @t193 @t172 @t171 @t289 @t288 @t188 @t261 @t251 @t182 @t180)) % 34.13/34.33 (define @t300 () (or @t194 @t193 @t172 @t171 @t289 @t288 @t188 @t261 @t251 @t182 @t182 @t180)) % 34.13/34.33 (define @t301 () (@list false false false false false false)) % 34.13/34.33 (define @t302 () (= tptp.sk3 (tptp.app @t235 tptp.nil))) % 34.13/34.33 (define @t303 () (and @t245 @t226)) % 34.13/34.33 (define @t304 () (tptp.skaf82 tptp.sk4)) % 34.13/34.33 (define @t305 () (tptp.skaf83 tptp.sk4)) % 34.13/34.33 (define @t306 () (@list @t305 @t304)) % 34.13/34.33 (define @t307 () (tptp.cons @t305 tptp.nil)) % 34.13/34.33 (define @t308 () (tptp.app @t307 @t304)) % 34.13/34.33 (define @t309 () (tptp.cons @t305 @t304)) % 34.13/34.33 (define @t310 () (= @t309 @t308)) % 34.13/34.33 (define @t311 () (tptp.ssList @t304)) % 34.13/34.33 (define @t312 () (not @t311)) % 34.13/34.33 (define @t313 () (tptp.ssItem @t305)) % 34.13/34.33 (define @t314 () (not @t313)) % 34.13/34.33 (define @t315 () (or @t314 @t312 @t310)) % 34.13/34.33 (define @t316 () (tptp.hd @t309)) % 34.13/34.33 (define @t317 () (= @t305 @t316)) % 34.13/34.33 (define @t318 () (or @t314 @t312 @t317)) % 34.13/34.33 (define @t319 () (tptp.tl @t309)) % 34.13/34.33 (define @t320 () (= @t304 @t319)) % 34.13/34.33 (define @t321 () (or @t314 @t312 @t320)) % 34.13/34.33 (define @t322 () (tptp.app tptp.nil @t229)) % 34.13/34.33 (define @t323 () (= @t229 @t322)) % 34.13/34.33 (define @t324 () (or @t238 @t323)) % 34.13/34.33 (define @t325 () (= tptp.sk4 @t309)) % 34.13/34.33 (define @t326 () (or @t208 @t325 @t177)) % 34.13/34.33 (define @t327 () (tptp.app tptp.nil tptp.nil)) % 34.13/34.33 (define @t328 () (= tptp.nil @t327)) % 34.13/34.33 (define @t329 () (or @t231 @t328)) % 34.13/34.33 (define @t330 () (not (= tptp.nil tptp.nil))) % 34.13/34.33 (define @t331 () (or @t330 @t231 @t328)) % 34.13/34.33 (define @t332 () (= tptp.nil (tptp.app tptp.nil @t40))) % 34.13/34.33 (define @t333 () (or @t134 @t134 @t65 @t332)) % 34.13/34.33 (define @t334 () (or @t134 @t65 @t332)) % 34.13/34.33 (define @t335 () (forall @t202 @t334)) % 34.13/34.33 (define @t336 () (or @t231 @t335)) % 34.13/34.33 (define @t337 () (or @t231 @t334)) % 34.13/34.33 (define @t338 () (or @t134 @t65 @t231 @t332)) % 34.13/34.33 (define @t339 () (or @t330 @t134 @t65 @t231 @t332)) % 34.13/34.33 (define @t340 () (= tptp.nil @t103)) % 34.13/34.33 (define @t341 () (or @t61 @t61 @t134 @t65 @t47 @t340)) % 34.13/34.33 (define @t342 () (or @t61 @t134 @t65 @t47 @t340)) % 34.13/34.33 (define @t343 () (forall @t4 @t342)) % 34.13/34.33 (define @t344 () (forall @t202 @t343)) % 34.13/34.33 (define @t345 () (forall @t206 @t342)) % 34.13/34.33 (define @t346 () (= tptp.sk4 (tptp.app @t322 @t191))) % 34.13/34.33 (define @t347 () (and @t328 @t325 @t323 @t320 @t317 @t310)) % 34.13/34.33 (define @t348 () (not @t302)) % 34.13/34.33 (define @t349 () (not @t346)) % 34.13/34.33 (define @t350 () (or @t232 @t231 @t237 @t349 @t348)) % 34.13/34.33 (assume @p1 (tptp.equalelemsP tptp.nil)) % 34.13/34.33 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 34.13/34.33 (assume @p3 (tptp.strictorderedP tptp.nil)) % 34.13/34.33 (assume @p4 (tptp.totalorderedP tptp.nil)) % 34.13/34.33 (assume @p5 (tptp.strictorderP tptp.nil)) % 34.13/34.33 (assume @p6 (tptp.totalorderP tptp.nil)) % 34.13/34.33 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 34.13/34.33 (assume @p8 @t1) % 34.13/34.33 (assume @p9 (tptp.ssItem tptp.skac3)) % 34.13/34.33 (assume @p10 (tptp.ssItem tptp.skac2)) % 34.13/34.33 (assume @p11 (not (tptp.singletonP tptp.nil))) % 34.13/34.33 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 34.13/34.33 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 34.13/34.33 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 34.13/34.33 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 34.13/34.33 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 34.13/34.33 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 34.13/34.33 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 34.13/34.33 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 34.13/34.33 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 34.13/34.33 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 34.13/34.33 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 34.13/34.33 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 34.13/34.33 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 34.13/34.33 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 34.13/34.33 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 34.13/34.33 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 34.13/34.33 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 34.13/34.33 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 34.13/34.33 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 34.13/34.33 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 34.13/34.33 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 34.13/34.33 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 34.13/34.33 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 34.13/34.33 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 34.13/34.33 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 34.13/34.33 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 34.13/34.33 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 34.13/34.33 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 34.13/34.33 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 34.13/34.33 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 34.13/34.33 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 34.13/34.33 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 34.13/34.33 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 34.13/34.33 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 34.13/34.33 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 34.13/34.33 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 34.13/34.33 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 34.13/34.33 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 34.13/34.33 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 34.13/34.33 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 34.13/34.33 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 34.13/34.33 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 34.13/34.33 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 34.13/34.33 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 34.13/34.33 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 34.13/34.33 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 34.13/34.33 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 34.13/34.33 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 34.13/34.33 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 34.13/34.33 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 34.13/34.33 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 34.13/34.33 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 34.13/34.33 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 34.13/34.33 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 34.13/34.33 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 34.13/34.33 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 34.13/34.33 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 34.13/34.33 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 34.13/34.33 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 34.13/34.33 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 34.13/34.33 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 34.13/34.33 (assume @p73 @t53) % 34.13/34.33 (assume @p74 @t56) % 34.13/34.33 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 34.13/34.33 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 34.13/34.33 (assume @p77 (forall @t4 (or @t61 @t47 @t60))) % 34.13/34.33 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 34.13/34.33 (assume @p79 (forall @t4 (or @t61 @t47 @t62))) % 34.13/34.33 (assume @p80 (forall @t4 (or (not @t62) @t47 @t57))) % 34.13/34.33 (assume @p81 (forall @t4 (or @t61 @t47 @t63))) % 34.13/34.33 (assume @p82 (forall @t4 (or (not @t63) @t47 @t57))) % 34.13/34.33 (assume @p83 (forall @t41 (or @t47 @t65 (tptp.ssList @t64)))) % 34.13/34.33 (assume @p84 (forall @t41 (or @t46 @t65 (tptp.ssList @t66)))) % 34.13/34.33 (assume @p85 (forall @t4 (or @t47 @t67 (tptp.leq @t37 @t38)))) % 34.13/34.33 (assume @p86 (forall @t4 (or @t47 @t67 (tptp.leq @t38 @t37)))) % 34.13/34.33 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t68))) % 34.13/34.33 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t69))) % 34.13/34.33 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t70))) % 34.13/34.33 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t71))) % 34.13/34.33 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t71))) % 34.13/34.33 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t72))) % 34.13/34.33 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t72))) % 34.13/34.33 (assume @p94 @t75) % 34.13/34.33 (assume @p95 @t78) % 34.13/34.33 (assume @p96 (forall @t41 (or (not (= @t66 tptp.nil)) @t46 @t65))) % 34.13/34.33 (assume @p97 (forall @t41 (or (not (= @t66 @t40)) @t46 @t65))) % 34.13/34.33 (assume @p98 @t82) % 34.13/34.33 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 34.13/34.33 (assume @p100 (forall @t41 (or @t46 @t83 @t80 @t79))) % 34.13/34.33 (assume @p101 (forall @t41 (or @t86 @t83 @t46 @t84))) % 34.13/34.33 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t59 @t58) @t2) @t57))) % 34.13/34.33 (assume @p103 (forall @t41 (or @t88 @t83 @t46 @t87))) % 34.13/34.33 (assume @p104 (forall @t41 (or @t86 @t46 @t83 @t89))) % 34.13/34.33 (assume @p105 (forall @t41 (or @t91 @t83 @t46 @t90))) % 34.13/34.33 (assume @p106 (forall @t41 (or @t93 @t46 @t83 @t92))) % 34.13/34.33 (assume @p107 @t96) % 34.13/34.33 (assume @p108 (forall @t41 (or @t88 (not @t89) @t46 @t83))) % 34.13/34.33 (assume @p109 (forall @t41 (or @t98 @t86 @t83 @t46))) % 34.13/34.33 (assume @p110 (forall @t41 (or @t61 @t47 @t83 (tptp.strictorderedP @t99)))) % 34.13/34.33 (assume @p111 (forall @t41 (or @t61 @t47 @t83 (tptp.totalorderedP @t99)))) % 34.13/34.33 (assume @p112 (forall @t41 (or @t86 (not @t87) @t46 @t83))) % 34.13/34.33 (assume @p113 @t102) % 34.13/34.33 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t65 (tptp.singletonP @t40)))) % 34.13/34.33 (assume @p115 (forall @t41 (or @t98 @t100 @t83 @t46))) % 34.13/34.33 (assume @p116 (forall @t41 (or @t105 @t65 @t47 @t57))) % 34.13/34.33 (assume @p117 (forall @t41 (or @t105 @t65 @t47 @t106))) % 34.13/34.33 (assume @p118 @t109) % 34.13/34.33 (assume @p119 (forall @t41 (or @t93 @t83 @t46 @t85 @t97))) % 34.13/34.33 (assume @p120 (forall @t41 (or @t47 @t65 @t106 (= (tptp.hd @t64) @t110)))) % 34.13/34.33 (assume @p121 (forall @t41 (or @t113 @t65 @t46 @t111 @t106))) % 34.13/34.33 (assume @p122 (forall @t41 (or @t116 @t65 @t46 @t114 @t106))) % 34.13/34.33 (assume @p123 (forall @t41 (or @t91 (not @t92) @t46 @t83 @t79))) % 34.13/34.33 (assume @p124 (forall @t41 (or @t117 (not (tptp.segmentP @t40 @t2)) @t47 @t65 @t79))) % 34.13/34.33 (assume @p125 (forall @t41 (or @t118 (not (tptp.rearsegP @t40 @t2)) @t47 @t65 @t79))) % 34.13/34.33 (assume @p126 (forall @t41 (or @t119 (not (tptp.frontsegP @t40 @t2)) @t47 @t65 @t79))) % 34.13/34.33 (assume @p127 (forall @t41 (or @t93 @t120 @t46 @t83 @t79))) % 34.13/34.33 (assume @p128 (forall @t41 (or @t118 @t65 @t47 (= (tptp.app @t43 @t40) @t2)))) % 34.13/34.33 (assume @p129 (forall @t41 (or @t119 @t65 @t47 (= (tptp.app @t40 @t44) @t2)))) % 34.13/34.33 (assume @p130 (forall @t41 (or @t47 @t65 @t106 (= (tptp.tl @t64) (tptp.app @t121 @t2))))) % 34.13/34.33 (assume @p131 (forall @t41 (or @t113 @t65 @t46 @t122 @t106))) % 34.13/34.33 (assume @p132 (forall @t41 (or @t116 @t65 @t46 @t123 @t106))) % 34.13/34.33 (assume @p133 (forall @t127 (or @t118 @t126 @t65 @t47 (tptp.rearsegP @t125 @t40)))) % 34.13/34.33 (assume @p134 (forall @t127 (or @t119 @t126 @t65 @t47 (tptp.frontsegP @t128 @t40)))) % 34.13/34.33 (assume @p135 (forall @t127 (or @t98 @t126 @t83 @t46 (tptp.memberP @t129 @t2)))) % 34.13/34.33 (assume @p136 (forall @t127 (or @t132 @t47 @t131 @t83 (tptp.memberP @t130 @t40)))) % 34.13/34.33 (assume @p137 (forall @t127 (or @t132 @t126 @t47 @t83 (tptp.memberP @t128 @t40)))) % 34.13/34.33 (assume @p138 (forall @t127 (or @t132 @t47 @t126 @t83 (tptp.memberP @t125 @t40)))) % 34.13/34.33 (assume @p139 (forall @t4 (or @t47 @t68 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 34.13/34.33 (assume @p140 (forall @t127 (or @t133 @t47 @t65 @t126 (tptp.rearsegP @t124 @t40)))) % 34.13/34.33 (assume @p141 (forall @t127 (or @t133 @t65 @t47 @t126 (tptp.frontsegP @t124 @t2)))) % 34.13/34.33 (assume @p142 @t136) % 34.13/34.33 (assume @p143 (forall @t127 (or @t88 (not (tptp.gt @t40 @t124)) @t131 @t83 @t46 (tptp.gt @t2 @t124)))) % 34.13/34.33 (assume @p144 (forall @t127 (or @t93 @t138 @t131 @t83 @t46 @t137))) % 34.13/34.33 (assume @p145 (forall @t127 (or @t91 (not (tptp.geq @t40 @t124)) @t131 @t83 @t46 (tptp.geq @t2 @t124)))) % 34.13/34.33 (assume @p146 (forall @t127 (or @t47 @t65 @t126 (= (tptp.app @t139 @t2) (tptp.app @t124 @t64))))) % 34.13/34.33 (assume @p147 (forall @t127 (or (not (= @t103 @t128)) @t65 @t47 @t126 @t140))) % 34.13/34.33 (assume @p148 (forall @t127 (or (not (= @t103 @t139)) @t47 @t65 @t126 @t141))) % 34.13/34.33 (assume @p149 (forall @t127 (or @t117 (not (tptp.segmentP @t40 @t124)) @t126 @t65 @t47 (tptp.segmentP @t2 @t124)))) % 34.13/34.33 (assume @p150 (forall @t127 (or @t118 (not (tptp.rearsegP @t40 @t124)) @t126 @t65 @t47 (tptp.rearsegP @t2 @t124)))) % 34.13/34.33 (assume @p151 (forall @t127 (or @t119 (not (tptp.frontsegP @t40 @t124)) @t126 @t65 @t47 (tptp.frontsegP @t2 @t124)))) % 34.13/34.33 (assume @p152 (forall @t127 (or @t86 @t138 @t131 @t83 @t46 @t137))) % 34.13/34.33 (assume @p153 (forall @t127 (or @t93 (not (tptp.leq @t40 @t124)) @t131 @t83 @t46 (tptp.leq @t2 @t124)))) % 34.13/34.33 (assume @p154 (forall @t127 (or @t46 @t65 @t126 (= (tptp.cons @t2 (tptp.app @t40 @t124)) (tptp.app @t66 @t124))))) % 34.13/34.33 (assume @p155 (forall @t127 (or (not (tptp.memberP @t103 @t124)) @t65 @t47 @t131 @t142 (tptp.memberP @t2 @t124)))) % 34.13/34.33 (assume @p156 (forall @t41 (or (not @t123) (not @t114) @t65 @t46 @t115 @t106))) % 34.13/34.33 (assume @p157 (forall @t41 (or (not @t122) (not @t111) @t65 @t46 @t112 @t106))) % 34.13/34.33 (assume @p158 (forall @t127 (or (not (tptp.memberP @t66 @t124)) @t65 @t46 @t131 @t142 (= @t124 @t2)))) % 34.13/34.33 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 34.13/34.33 (assume @p160 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 34.13/34.33 (assume @p161 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 34.13/34.33 (assume @p162 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 34.13/34.33 (assume @p163 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 34.13/34.33 (assume @p164 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 34.13/34.33 (assume @p165 (forall @t41 (or @t117 @t65 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 34.13/34.33 (assume @p166 (forall @t41 (or @t132 @t83 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 34.13/34.33 (assume @p167 (forall @t147 (or @t146 @t131 @t46 @t144 @t65 @t141))) % 34.13/34.33 (assume @p168 (forall @t147 (or @t146 @t131 @t46 @t144 @t65 (= @t143 @t40)))) % 34.13/34.33 (assume @p169 (forall @t147 (or @t117 @t126 @t144 @t65 @t47 (tptp.segmentP (tptp.app (tptp.app @t143 @t2) @t124) @t40)))) % 34.13/34.33 (assume @p170 (forall @t147 (or (not (= (tptp.app @t103 @t124) @t143)) @t126 @t47 @t65 @t144 (tptp.segmentP @t143 @t40)))) % 34.13/34.33 (assume @p171 (forall @t147 (or @t148 @t144 @t65 @t131 @t46 (tptp.frontsegP @t40 @t143)))) % 34.13/34.33 (assume @p172 (forall @t147 (or (not (= @t149 @t143)) @t126 @t47 @t83 @t144 (tptp.memberP @t143 @t40)))) % 34.13/34.33 (assume @p173 (forall @t147 (or @t148 @t144 @t65 @t131 @t46 @t141))) % 34.13/34.33 (assume @p174 (forall @t41 (or (not (= @t58 @t121)) (not (= @t59 @t110)) @t47 @t65 @t106 @t97 @t57))) % 34.13/34.33 (assume @p175 (forall @t147 (or @t119 (not (= @t124 @t143)) @t65 @t47 @t150 @t131 (tptp.frontsegP @t130 (tptp.cons @t143 @t40))))) % 34.13/34.33 (assume @p176 (forall @t153 (or (not (= (tptp.app @t149 (tptp.cons @t40 @t143)) @t151)) @t144 @t126 @t47 @t83 (not (tptp.duplicatefreeP @t151)) @t152))) % 34.13/34.33 (assume @p177 (forall @t153 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t145)) @t151)) @t144 @t47 @t131 @t83 (not (tptp.equalelemsP @t151)) @t152 @t140))) % 34.13/34.33 (assume @p178 (forall @t158 (or @t157 @t152 @t126 @t47 @t150 @t83 (not (tptp.strictorderedP @t155)) @t156 @t154))) % 34.13/34.33 (assume @p179 (forall @t158 (or @t157 @t152 @t126 @t47 @t150 @t83 (not (tptp.totalorderedP @t155)) @t156 @t159))) % 34.13/34.33 (assume @p180 (forall @t158 (or @t157 @t152 @t126 @t47 @t150 @t83 (not (tptp.strictorderP @t155)) @t156 @t154 (tptp.lt @t143 @t40)))) % 34.13/34.33 (assume @p181 (forall @t158 (or @t157 @t152 @t126 @t47 @t150 @t83 (not (tptp.totalorderP @t155)) @t156 @t159 (tptp.leq @t143 @t40)))) % 34.13/34.33 (assume @p182 (forall @t158 (or @t93 @t120 (not (= (tptp.app (tptp.app @t124 (tptp.cons @t2 @t143)) (tptp.cons @t40 @t151)) @t155)) @t152 @t144 @t126 @t83 @t46 (not (tptp.cyclefreeP @t155)) @t156))) % 34.13/34.33 (assume @p183 (tptp.ssList tptp.sk1)) % 34.13/34.33 (assume @p184 (tptp.ssList tptp.sk2)) % 34.13/34.33 (assume @p185 @t160) % 34.13/34.33 (assume @p186 @t161) % 34.13/34.33 (assume @p187 (= tptp.sk2 tptp.sk4)) % 34.13/34.33 (assume @p188 (= tptp.sk1 tptp.sk3)) % 34.13/34.33 (assume @p189 @t162) % 34.13/34.33 (assume @p190 @t176) % 34.13/34.33 (assume @p191 (or (= tptp.nil tptp.sk3) @t178)) % 34.13/34.33 (assume @p192 @t197) % 34.13/34.33 (step @p193 :rule instantiate :premises (@p75) :args (@t198)) % 34.13/34.33 (step @p194 :rule aci_norm :args ((= (or false @t199 @t65 @t65) (or @t199 @t65)))) % 34.13/34.33 (step @p195 :rule refl :args (@t65)) % 34.13/34.33 (step @p196 :rule refl :args (@t199)) % 34.13/34.33 (step @p197 :rule evaluate :args ((not true))) % 34.13/34.33 (step @p198 :rule eq-refl :args (@t40)) % 34.13/34.33 (step @p199 :rule cong :premises (@p198) :args (@t200)) % 34.13/34.33 (step @p200 :rule trans :premises (@p199 @p197)) % 34.13/34.33 (step @p201 :rule nary_cong :premises (@p200 @p196 @p195 @p195) :args (@t201)) % 34.13/34.33 (step @p202 :rule trans :premises (@p201 @p194)) % 34.13/34.33 (step @p203 :rule cong :premises (@p202) :args ((forall @t202 @t201))) % 34.13/34.33 (step @p204 :rule quant-var-elim-eq :args ((= (forall @t4 @t203) @t201))) % 34.13/34.33 (step @p205 :rule aci_norm :args ((= @t101 @t203))) % 34.13/34.33 (step @p206 :rule cong :premises (@p205) :args (@t204)) % 34.13/34.33 (step @p207 :rule trans :premises (@p206 @p204)) % 34.13/34.33 (step @p208 :rule cong :premises (@p207) :args (@t205)) % 34.13/34.33 (step @p209 :rule quant-merge-prenex :args ((= @t205 @t207))) % 34.13/34.33 (step @p210 :rule symm :premises (@p209)) % 34.13/34.33 (step @p211 :rule quant_var_reordering :args ((= @t102 @t207))) % 34.13/34.33 (step @p212 :rule trans :premises (@p211 @p210 @p208)) % 34.13/34.33 (step @p213 :rule trans :premises (@p212 @p203)) % 34.13/34.33 (step @p214 :rule eq_resolve :premises (@p113 @p213)) % 34.13/34.33 (step @p215 :rule instantiate :premises (@p214) :args (@t198)) % 34.13/34.33 (step @p216 :rule cnf_or_pos :args (@t211)) % 34.13/34.33 (step @p217 :rule reordering :premises (@p216) :args ((or @t208 @t210 (not @t211)))) % 34.13/34.33 (step @p218 :rule chain_m_resolution :premises (@p217 @p186 @p215) :args (@t210 @t212 (@list @t161 @t211))) % 34.13/34.33 (step @p219 :rule refl :args (tptp.nil)) % 34.13/34.33 (step @p220 :rule cong :premises (@p187 @p219) :args (@t162)) % 34.13/34.33 (step @p221 :rule eq_resolve :premises (@p189 @p220)) % 34.13/34.33 (step @p222 :rule bool-double-not-elim :args (@t209)) % 34.13/34.33 (step @p223 :rule refl :args (@t180)) % 34.13/34.33 (step @p224 :rule refl :args (@t178)) % 34.13/34.33 (step @p225 :rule nary_cong :premises (@p224 @p223 @p222) :args ((or @t178 @t180 (not @t210)))) % 34.13/34.33 (assume-push @p632 @t179) % 34.13/34.33 (assume-push @p633 @t177) % 34.13/34.33 (assume-push @p634 @t210) % 34.13/34.33 (step @p229 :rule evaluate :args (@t213)) % 34.13/34.33 (step @p230 :rule true_intro :premises (@p221)) % 34.13/34.33 (step @p231 :rule symm :premises (@p633)) % 34.13/34.33 (step @p232 :rule refl :args (tptp.sk4)) % 34.13/34.33 (step @p233 :rule cong :premises (@p232 @p231) :args (@t209)) % 34.13/34.33 (step @p234 :rule false_intro :premises (@p218)) % 34.13/34.33 (step @p235 :rule symm :premises (@p234)) % 34.13/34.33 (step @p236 :rule trans :premises (@p235 @p233 @p230)) % 34.13/34.33 (step @p237 false :rule eq_resolve :premises (@p236 @p229)) % 34.13/34.33 (step-pop @p635 :rule scope :premises (@p237)) % 34.13/34.33 (step-pop @p636 :rule scope :premises (@p635)) % 34.13/34.33 (step-pop @p637 :rule scope :premises (@p636)) % 34.13/34.33 (step @p238 :rule process_scope :premises (@p637) :args (false)) % 34.13/34.33 (assume-push @p638 @t177) % 34.13/34.33 (assume-push @p639 @t179) % 34.13/34.33 (assume-push @p640 @t210) % 34.13/34.33 (step @p245 :rule and_intro :premises (@p221 @p638 @p218)) % 34.13/34.33 (step-pop @p641 :rule scope :premises (@p245)) % 34.13/34.33 (step-pop @p642 :rule scope :premises (@p641)) % 34.13/34.33 (step-pop @p643 :rule scope :premises (@p642)) % 34.13/34.33 (step @p246 :rule process_scope :premises (@p643) :args (@t214)) % 34.13/34.33 (step @p250 :rule implies_elim :premises (@p246)) % 34.13/34.33 (step @p251 :rule resolution :premises (@p250 @p238) :args (true @t214)) % 34.13/34.33 (step @p252 :rule not_and :premises (@p251)) % 34.13/34.33 (step @p253 :rule eq_resolve :premises (@p252 @p225)) % 34.13/34.33 (step @p254 :rule chain_m_resolution :premises (@p253 @p221 @p218) :args (@t178 (@list false true) (@list @t179 @t209))) % 34.13/34.33 (step @p255 :rule cnf_or_pos :args (@t216)) % 34.13/34.33 (step @p256 :rule reordering :premises (@p255) :args ((or @t177 @t215 @t208 (not @t216)))) % 34.13/34.33 (step @p257 :rule chain_m_resolution :premises (@p256 @p254 @p186 @p193) :args (@t215 @t217 (@list @t177 @t161 @t216))) % 34.13/34.33 (step @p258 :rule instantiate :premises (@p76) :args (@t198)) % 34.13/34.33 (step @p259 :rule cnf_or_pos :args (@t219)) % 34.13/34.33 (step @p260 :rule reordering :premises (@p259) :args ((or @t177 @t218 @t208 (not @t219)))) % 34.13/34.33 (step @p261 :rule chain_m_resolution :premises (@p260 @p254 @p186 @p258) :args (@t218 @t217 (@list @t177 @t161 @t219))) % 34.13/34.33 (step @p262 :rule refl :args (@t167)) % 34.13/34.33 (step @p263 :rule cong :premises (@p188 @p262) :args (@t220)) % 34.13/34.33 (step @p264 :rule cong :premises (@p263) :args (@t221)) % 34.13/34.33 (step @p265 :rule refl :args (@t169)) % 34.13/34.33 (step @p266 :rule cong :premises (@p187 @p265) :args (@t222)) % 34.13/34.33 (step @p267 :rule cong :premises (@p266) :args (@t223)) % 34.13/34.33 (step 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@p476 :rule implies_elim :premises (@p473)) % 34.13/34.33 (step @p477 :rule cnf_and_neg :args (@t303)) % 34.13/34.33 (step @p478 :rule resolution :premises (@p477 @p476) :args (true @t303)) % 34.13/34.33 (step @p479 :rule chain_m_resolution :premises (@p478 @p461 @p290) :args (@t302 @t212 (@list @t245 @t226))) % 34.13/34.33 (step @p480 :rule eq-symm :args (@t107 @t66)) % 34.13/34.33 (step @p481 :rule refl :args (@t46)) % 34.13/34.33 (step @p482 :rule nary_cong :premises (@p481 @p195 @p480) :args (@t108)) % 34.13/34.33 (step @p483 :rule cong :premises (@p482) :args (@t109)) % 34.13/34.33 (step @p484 :rule eq_resolve :premises (@p118 @p483)) % 34.13/34.33 (step @p485 :rule instantiate :premises (@p484) :args (@t306)) % 34.13/34.33 (step @p486 :rule instantiate :premises (@p13) :args (@t198)) % 34.13/34.33 (step @p487 :rule instantiate :premises (@p12) :args (@t198)) % 34.13/34.33 (step @p488 :rule cnf_or_pos :args (@t315)) % 34.13/34.33 (step @p489 :rule reordering :premises (@p488) :args ((or @t314 @t312 @t310 (not @t315)))) % 34.13/34.33 (step @p490 :rule chain_m_resolution :premises (@p489 @p487 @p486 @p485) :args (@t310 @t234 (@list @t313 @t311 @t315))) % 34.13/34.33 (step @p491 :rule eq-symm :args (@t76 @t2)) % 34.13/34.33 (step @p492 :rule nary_cong :premises (@p481 @p195 @p491) :args (@t77)) % 34.13/34.33 (step @p493 :rule cong :premises (@p492) :args (@t78)) % 34.13/34.33 (step @p494 :rule eq_resolve :premises (@p95 @p493)) % 34.13/34.33 (step @p495 :rule instantiate :premises (@p494) :args (@t306)) % 34.13/34.33 (step @p496 :rule cnf_or_pos :args (@t318)) % 34.13/34.33 (step @p497 :rule reordering :premises (@p496) :args ((or @t314 @t312 @t317 (not @t318)))) % 34.13/34.33 (step @p498 :rule chain_m_resolution :premises (@p497 @p487 @p486 @p495) :args (@t317 @t234 (@list @t313 @t311 @t318))) % 34.13/34.33 (step @p499 :rule eq-symm :args (@t73 @t40)) % 34.13/34.33 (step @p500 :rule nary_cong :premises (@p481 @p195 @p499) :args (@t74)) % 34.13/34.33 (step @p501 :rule cong :premises (@p500) :args (@t75)) % 34.13/34.33 (step @p502 :rule eq_resolve :premises (@p94 @p501)) % 34.13/34.33 (step @p503 :rule instantiate :premises (@p502) :args (@t306)) % 34.13/34.33 (step @p504 :rule cnf_or_pos :args (@t321)) % 34.13/34.33 (step @p505 :rule reordering :premises (@p504) :args ((or @t314 @t312 @t320 (not @t321)))) % 34.13/34.33 (step @p506 :rule chain_m_resolution :premises (@p505 @p487 @p486 @p503) :args (@t320 @t234 (@list @t313 @t311 @t321))) % 34.13/34.33 (step @p507 :rule eq-symm :args (@t54 @t2)) % 34.13/34.33 (step @p508 :rule nary_cong :premises (@p283 @p507) :args (@t55)) % 34.13/34.33 (step @p509 :rule cong :premises (@p508) :args (@t56)) % 34.13/34.33 (step @p510 :rule eq_resolve :premises (@p74 @p509)) % 34.13/34.33 (step @p511 :rule instantiate :premises (@p510) :args ((@list @t229))) % 34.13/34.33 (step @p512 :rule cnf_or_pos :args (@t324)) % 34.13/34.33 (step @p513 :rule reordering :premises (@p512) :args ((or @t238 @t323 (not @t324)))) % 34.13/34.33 (step @p514 :rule chain_m_resolution :premises (@p513 @p294 @p511) :args (@t323 @t212 (@list @t230 @t324))) % 34.13/34.33 (step @p515 :rule refl :args (@t57)) % 34.13/34.33 (step @p516 :rule eq-symm :args (@t94 @t2)) % 34.13/34.33 (step @p517 :rule nary_cong :premises (@p283 @p516 @p515) :args (@t95)) % 34.13/34.33 (step @p518 :rule cong :premises (@p517) :args (@t96)) % 34.13/34.33 (step @p519 :rule eq_resolve :premises (@p107 @p518)) % 34.13/34.33 (step @p520 :rule instantiate :premises (@p519) :args (@t198)) % 34.13/34.33 (step @p521 :rule cnf_or_pos :args (@t326)) % 34.13/34.33 (step @p522 :rule reordering :premises (@p521) :args ((or @t177 @t208 @t325 (not @t326)))) % 34.13/34.33 (step @p523 :rule chain_m_resolution :premises (@p522 @p254 @p186 @p520) :args (@t325 @t217 (@list @t177 @t161 @t326))) % 34.13/34.33 (step @p524 :rule aci_norm :args ((= (or @t231 @t329) @t329))) % 34.13/34.33 (step @p525 :rule aci_norm :args ((= (or false @t231 @t328) @t329))) % 34.13/34.33 (step @p526 :rule refl :args (@t328)) % 34.13/34.33 (step @p527 :rule eq-refl :args (tptp.nil)) % 34.13/34.33 (step @p528 :rule cong :premises (@p527) :args (@t330)) % 34.13/34.33 (step @p529 :rule trans :premises (@p528 @p197)) % 34.13/34.33 (step @p530 :rule nary_cong :premises (@p529 @p306 @p526) :args (@t331)) % 34.13/34.33 (step @p531 :rule trans :premises (@p530 @p525)) % 34.13/34.33 (step @p532 :rule quant-var-elim-eq :args ((= (forall @t202 (or (not (= @t40 tptp.nil)) @t134 @t65 @t332)) @t331))) % 34.13/34.33 (step @p533 :rule refl :args (@t332)) % 34.13/34.33 (step @p534 :rule refl :args (@t65)) % 34.13/34.33 (step @p535 :rule refl :args (@t134)) % 34.13/34.33 (step @p536 :rule eq-symm :args (tptp.nil @t40)) % 34.13/34.33 (step @p537 :rule cong :premises (@p536) :args (@t134)) % 34.13/34.33 (step @p538 :rule nary_cong :premises (@p537 @p535 @p534 @p533) :args (@t333)) % 34.13/34.33 (step @p539 :rule aci_norm :args ((= @t334 @t333))) % 34.13/34.33 (step @p540 :rule trans :premises (@p539 @p538)) % 34.13/34.33 (step @p541 :rule cong :premises (@p540) :args (@t335)) % 34.13/34.33 (step @p542 :rule trans :premises (@p541 @p532)) % 34.13/34.33 (step @p543 :rule trans :premises (@p542 @p531)) % 34.13/34.33 (step @p544 :rule nary_cong :premises (@p306 @p543) :args (@t336)) % 34.13/34.33 (step @p545 :rule trans :premises (@p544 @p524)) % 34.13/34.33 (step @p546 :rule quant-miniscope-or :args ((= (forall @t202 @t337) @t336))) % 34.13/34.33 (step @p547 :rule aci_norm :args ((= @t338 @t337))) % 34.13/34.33 (step @p548 :rule cong :premises (@p547) :args ((forall @t202 @t338))) % 34.13/34.33 (step @p549 :rule trans :premises (@p548 @p546)) % 34.13/34.33 (step @p550 :rule trans :premises (@p549 @p545)) % 34.13/34.33 (step @p551 :rule aci_norm :args ((= (or false @t134 @t65 @t231 @t332) @t338))) % 34.13/34.33 (step @p552 :rule refl :args (@t332)) % 34.13/34.33 (step @p553 :rule refl :args (@t134)) % 34.13/34.33 (step @p554 :rule nary_cong :premises (@p529 @p553 @p195 @p306 @p552) :args (@t339)) % 34.13/34.33 (step @p555 :rule trans :premises (@p554 @p551)) % 34.13/34.33 (step @p556 :rule cong :premises (@p555) :args ((forall @t202 @t339))) % 34.13/34.33 (step @p557 :rule trans :premises (@p556 @p550)) % 34.13/34.33 (step @p558 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t2 tptp.nil)) @t61 @t134 @t65 @t47 @t340)) @t339))) % 34.13/34.33 (step @p559 :rule refl :args (@t340)) % 34.13/34.33 (step @p560 :rule refl :args (@t47)) % 34.13/34.33 (step @p561 :rule refl :args (@t61)) % 34.13/34.33 (step @p562 :rule eq-symm :args (tptp.nil @t2)) % 34.13/34.33 (step @p563 :rule cong :premises (@p562) :args (@t61)) % 34.13/34.33 (step @p564 :rule nary_cong :premises (@p563 @p561 @p535 @p534 @p560 @p559) :args (@t341)) % 34.13/34.33 (step @p565 :rule aci_norm :args ((= @t342 @t341))) % 34.13/34.33 (step @p566 :rule trans :premises (@p565 @p564)) % 34.13/34.33 (step @p567 :rule cong :premises (@p566) :args (@t343)) % 34.13/34.33 (step @p568 :rule trans :premises (@p567 @p558)) % 34.13/34.33 (step @p569 :rule cong :premises (@p568) :args (@t344)) % 34.13/34.33 (step @p570 :rule quant-merge-prenex :args ((= @t344 @t345))) % 34.13/34.33 (step @p571 :rule symm :premises (@p570)) % 34.13/34.33 (step @p572 :rule quant_var_reordering :args ((= (forall @t41 @t342) @t345))) % 34.13/34.33 (step @p573 :rule trans :premises (@p572 @p571 @p569)) % 34.13/34.33 (step @p574 :rule trans :premises (@p573 @p557)) % 34.13/34.33 (step @p575 :rule eq-symm :args (@t103 tptp.nil)) % 34.13/34.33 (step @p576 :rule refl :args (@t61)) % 34.13/34.33 (step @p577 :rule nary_cong :premises (@p576 @p553 @p195 @p283 @p575) :args (@t135)) % 34.13/34.33 (step @p578 :rule cong :premises (@p577) :args (@t136)) % 34.13/34.33 (step @p579 :rule trans :premises (@p578 @p574)) % 34.13/34.33 (step @p580 :rule eq_resolve :premises (@p142 @p579)) % 34.13/34.33 (step @p581 :rule chain_m_resolution :premises (@p580 @p8) :args (@t328 @t243 (@list @t1))) % 34.13/34.33 (assume-push @p666 @t328) % 34.13/34.33 (assume-push @p667 @t325) % 34.13/34.33 (assume-push @p668 @t323) % 34.13/34.33 (assume-push @p669 @t320) % 34.13/34.33 (assume-push @p670 @t317) % 34.13/34.33 (assume-push @p671 @t310) % 34.13/34.33 (assume-push @p672 @t323) % 34.13/34.33 (assume-push @p673 @t328) % 34.13/34.33 (assume-push @p674 @t325) % 34.13/34.33 (assume-push @p675 @t317) % 34.13/34.33 (assume-push @p676 @t320) % 34.13/34.33 (assume-push @p677 @t310) % 34.13/34.33 (step @p594 :rule refl :args (@t191)) % 34.13/34.33 (step @p595 :rule cong :premises (@p668 @p594) :args ((tptp.app @t229 @t191))) % 34.13/34.33 (step @p596 :rule symm :premises (@p667)) % 34.13/34.33 (step @p597 :rule cong :premises (@p596) :args (@t319)) % 34.13/34.33 (step @p598 :rule trans :premises (@p506 @p597)) % 34.13/34.33 (step @p599 :rule symm :premises (@p581)) % 34.13/34.33 (step @p600 :rule refl :args (@t184)) % 34.13/34.33 (step @p601 :rule cong :premises (@p600 @p599) :args ((tptp.cons @t184 @t327))) % 34.13/34.33 (step @p602 :rule cong :premises (@p596) :args (@t316)) % 34.13/34.33 (step @p603 :rule trans :premises (@p498 @p602)) % 34.13/34.33 (step @p604 :rule cong :premises (@p603 @p581) :args (@t307)) % 34.13/34.33 (step @p605 :rule trans :premises (@p604 @p601)) % 34.13/34.33 (step @p606 :rule cong :premises (@p605 @p598) :args (@t308)) % 34.13/34.33 (step @p607 :rule trans :premises (@p667 @p490 @p606 @p595)) % 34.13/34.33 (step-pop @p678 :rule scope :premises (@p607)) % 34.13/34.33 (step-pop @p679 :rule scope :premises (@p678)) % 34.13/34.33 (step-pop @p680 :rule scope :premises (@p679)) % 34.13/34.33 (step-pop @p681 :rule scope :premises (@p680)) % 34.13/34.33 (step-pop @p682 :rule scope :premises (@p681)) % 34.13/34.33 (step-pop @p683 :rule scope :premises (@p682)) % 34.13/34.33 (step @p608 :rule process_scope :premises (@p683) :args (@t346)) % 34.13/34.33 (step @p615 :rule and_intro :premises (@p668 @p581 @p667 @p498 @p506 @p490)) % 34.13/34.33 (step @p616 :rule modus_ponens :premises (@p615 @p608)) % 34.13/34.33 (step-pop @p684 :rule scope :premises (@p616)) % 34.13/34.33 (step-pop @p685 :rule scope :premises (@p684)) % 34.13/34.33 (step-pop @p686 :rule scope :premises (@p685)) % 34.13/34.33 (step-pop @p687 :rule scope :premises (@p686)) % 34.13/34.33 (step-pop @p688 :rule scope :premises (@p687)) % 34.13/34.33 (step-pop @p689 :rule scope :premises (@p688)) % 34.13/34.33 (step @p617 :rule process_scope :premises (@p689) :args (@t346)) % 34.13/34.33 (step @p624 :rule implies_elim :premises (@p617)) % 34.13/34.33 (step @p625 :rule cnf_and_neg :args (@t347)) % 34.13/34.33 (step @p626 :rule resolution :premises (@p625 @p624) :args (true @t347)) % 34.13/34.33 (step @p627 :rule reordering :premises (@p626) :args ((or (not @t328) (not @t325) @t346 (not @t323) (not @t320) (not @t317) (not @t310)))) % 34.13/34.33 (step @p628 :rule chain_m_resolution :premises (@p627 @p581 @p523 @p514 @p506 @p498 @p490) :args (@t346 @t301 (@list @t328 @t325 @t323 @t320 @t317 @t310))) % 34.13/34.33 (step @p629 :rule cnf_or_pos :args (@t350)) % 34.13/34.33 (step @p630 :rule reordering :premises (@p629) :args ((or @t231 @t237 @t232 @t349 @t348 (not @t350)))) % 34.13/34.33 (step @p631 false :rule chain_m_resolution :premises (@p630 @p628 @p479 @p281 @p261 @p257 @p8) :args (false @t301 (@list @t346 @t302 @t350 @t218 @t215 @t1))) % 34.13/34.33 ) % 34.13/34.33 % SZS output end Proof % 34.13/34.33 % cvc5 exiting %------------------------------------------------------------------------------