%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC067-1 : 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 : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:55 AM UTC 2026 % Result : Unsatisfiable 2.13s 2.35s % Output : Proof 2.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC067-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n028.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 19:12:35 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.52 %----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... % 2.13/2.35 % SZS status Unsatisfiable % 2.13/2.35 % SZS output start Proof % 2.13/2.36 ( % 2.13/2.36 (declare-sort $$unsorted 0) % 2.13/2.36 (declare-const tptp.sk5 $$unsorted) % 2.13/2.36 (declare-const tptp.sk4 $$unsorted) % 2.13/2.36 (declare-const tptp.sk2 $$unsorted) % 2.13/2.36 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.nil $$unsorted) % 2.13/2.36 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.sk1 $$unsorted) % 2.13/2.36 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skac2 $$unsorted) % 2.13/2.36 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.sk3 $$unsorted) % 2.13/2.36 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.sk6 $$unsorted) % 2.13/2.36 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.ssList (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skac3 $$unsorted) % 2.13/2.36 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 2.13/2.36 (define @t1 () (tptp.ssList tptp.nil)) % 2.13/2.36 (define @t2 () (@var "U" $$unsorted)) % 2.13/2.36 (define @t3 () (tptp.skaf83 @t2)) % 2.13/2.36 (define @t4 () (@list @t2)) % 2.13/2.36 (define @t5 () (tptp.skaf82 @t2)) % 2.13/2.36 (define @t6 () (tptp.skaf81 @t2)) % 2.13/2.36 (define @t7 () (tptp.skaf80 @t2)) % 2.13/2.36 (define @t8 () (tptp.skaf79 @t2)) % 2.13/2.36 (define @t9 () (tptp.skaf78 @t2)) % 2.13/2.36 (define @t10 () (tptp.skaf77 @t2)) % 2.13/2.36 (define @t11 () (tptp.skaf76 @t2)) % 2.13/2.36 (define @t12 () (tptp.skaf75 @t2)) % 2.13/2.36 (define @t13 () (tptp.skaf74 @t2)) % 2.13/2.36 (define @t14 () (tptp.skaf73 @t2)) % 2.13/2.36 (define @t15 () (tptp.skaf72 @t2)) % 2.13/2.36 (define @t16 () (tptp.skaf71 @t2)) % 2.13/2.36 (define @t17 () (tptp.skaf70 @t2)) % 2.13/2.36 (define @t18 () (tptp.skaf69 @t2)) % 2.13/2.36 (define @t19 () (tptp.skaf68 @t2)) % 2.13/2.36 (define @t20 () (tptp.skaf67 @t2)) % 2.13/2.36 (define @t21 () (tptp.skaf66 @t2)) % 2.13/2.36 (define @t22 () (tptp.skaf65 @t2)) % 2.13/2.36 (define @t23 () (tptp.skaf64 @t2)) % 2.13/2.36 (define @t24 () (tptp.skaf63 @t2)) % 2.13/2.36 (define @t25 () (tptp.skaf62 @t2)) % 2.13/2.36 (define @t26 () (tptp.skaf61 @t2)) % 2.13/2.36 (define @t27 () (tptp.skaf60 @t2)) % 2.13/2.36 (define @t28 () (tptp.skaf59 @t2)) % 2.13/2.36 (define @t29 () (tptp.skaf58 @t2)) % 2.13/2.36 (define @t30 () (tptp.skaf57 @t2)) % 2.13/2.36 (define @t31 () (tptp.skaf56 @t2)) % 2.13/2.36 (define @t32 () (tptp.skaf55 @t2)) % 2.13/2.36 (define @t33 () (tptp.skaf54 @t2)) % 2.13/2.36 (define @t34 () (tptp.skaf53 @t2)) % 2.13/2.36 (define @t35 () (tptp.skaf52 @t2)) % 2.13/2.36 (define @t36 () (tptp.skaf51 @t2)) % 2.13/2.36 (define @t37 () (tptp.skaf50 @t2)) % 2.13/2.36 (define @t38 () (tptp.skaf49 @t2)) % 2.13/2.36 (define @t39 () (tptp.skaf44 @t2)) % 2.13/2.36 (define @t40 () (@var "V" $$unsorted)) % 2.13/2.36 (define @t41 () (@list @t2 @t40)) % 2.13/2.36 (define @t42 () (tptp.skaf47 @t2 @t40)) % 2.13/2.36 (define @t43 () (tptp.skaf46 @t2 @t40)) % 2.13/2.36 (define @t44 () (tptp.skaf45 @t2 @t40)) % 2.13/2.36 (define @t45 () (tptp.skaf42 @t2 @t40)) % 2.13/2.36 (define @t46 () (not (tptp.ssItem @t2))) % 2.13/2.36 (define @t47 () (not (tptp.ssList @t2))) % 2.13/2.36 (define @t48 () (tptp.cons @t2 tptp.nil)) % 2.13/2.36 (define @t49 () (tptp.ssItem @t40)) % 2.13/2.36 (define @t50 () (tptp.duplicatefreeP @t2)) % 2.13/2.36 (define @t51 () (tptp.app @t2 tptp.nil)) % 2.13/2.36 (define @t52 () (or @t47 (= @t51 @t2))) % 2.13/2.36 (define @t53 () (forall @t4 @t52)) % 2.13/2.36 (define @t54 () (tptp.app tptp.nil @t2)) % 2.13/2.36 (define @t55 () (or @t47 (= @t54 @t2))) % 2.13/2.36 (define @t56 () (forall @t4 @t55)) % 2.13/2.36 (define @t57 () (= tptp.nil @t2)) % 2.13/2.36 (define @t58 () (tptp.tl @t2)) % 2.13/2.36 (define @t59 () (tptp.hd @t2)) % 2.13/2.36 (define @t60 () (tptp.segmentP tptp.nil @t2)) % 2.13/2.36 (define @t61 () (not @t57)) % 2.13/2.36 (define @t62 () (tptp.rearsegP tptp.nil @t2)) % 2.13/2.36 (define @t63 () (tptp.frontsegP tptp.nil @t2)) % 2.13/2.36 (define @t64 () (tptp.app @t40 @t2)) % 2.13/2.36 (define @t65 () (not (tptp.ssList @t40))) % 2.13/2.36 (define @t66 () (tptp.cons @t2 @t40)) % 2.13/2.36 (define @t67 () (tptp.cyclefreeP @t2)) % 2.13/2.36 (define @t68 () (tptp.equalelemsP @t2)) % 2.13/2.36 (define @t69 () (tptp.strictorderedP @t2)) % 2.13/2.36 (define @t70 () (tptp.totalorderedP @t2)) % 2.13/2.36 (define @t71 () (tptp.strictorderP @t2)) % 2.13/2.36 (define @t72 () (tptp.totalorderP @t2)) % 2.13/2.36 (define @t73 () (= @t40 @t2)) % 2.13/2.36 (define @t74 () (tptp.neq @t40 @t2)) % 2.13/2.36 (define @t75 () (or @t47 @t65 @t74 @t73)) % 2.13/2.36 (define @t76 () (forall @t41 @t75)) % 2.13/2.36 (define @t77 () (not @t49)) % 2.13/2.36 (define @t78 () (tptp.leq @t2 @t40)) % 2.13/2.36 (define @t79 () (tptp.lt @t2 @t40)) % 2.13/2.36 (define @t80 () (not @t79)) % 2.13/2.36 (define @t81 () (tptp.lt @t40 @t2)) % 2.13/2.36 (define @t82 () (not (tptp.gt @t2 @t40))) % 2.13/2.36 (define @t83 () (tptp.gt @t40 @t2)) % 2.13/2.36 (define @t84 () (tptp.leq @t40 @t2)) % 2.13/2.36 (define @t85 () (not (tptp.geq @t2 @t40))) % 2.13/2.36 (define @t86 () (tptp.geq @t40 @t2)) % 2.13/2.36 (define @t87 () (not @t78)) % 2.13/2.36 (define @t88 () (= @t2 @t40)) % 2.13/2.36 (define @t89 () (not @t88)) % 2.13/2.36 (define @t90 () (tptp.cons @t40 @t2)) % 2.13/2.36 (define @t91 () (not (tptp.neq @t2 @t40))) % 2.13/2.36 (define @t92 () (or @t89 @t91 @t65 @t47)) % 2.13/2.36 (define @t93 () (forall @t41 @t92)) % 2.13/2.36 (define @t94 () (tptp.app @t2 @t40)) % 2.13/2.36 (define @t95 () (= @t94 tptp.nil)) % 2.13/2.36 (define @t96 () (not @t95)) % 2.13/2.36 (define @t97 () (or @t96 @t65 @t47 @t57)) % 2.13/2.36 (define @t98 () (forall @t41 @t97)) % 2.13/2.36 (define @t99 () (= tptp.nil @t40)) % 2.13/2.36 (define @t100 () (tptp.hd @t40)) % 2.13/2.36 (define @t101 () (tptp.strictorderedP @t40)) % 2.13/2.36 (define @t102 () (tptp.strictorderedP @t66)) % 2.13/2.36 (define @t103 () (not @t102)) % 2.13/2.36 (define @t104 () (tptp.totalorderedP @t40)) % 2.13/2.36 (define @t105 () (tptp.totalorderedP @t66)) % 2.13/2.36 (define @t106 () (not @t105)) % 2.13/2.36 (define @t107 () (not (tptp.segmentP @t2 @t40))) % 2.13/2.36 (define @t108 () (not (tptp.rearsegP @t2 @t40))) % 2.13/2.36 (define @t109 () (not (tptp.frontsegP @t2 @t40))) % 2.13/2.36 (define @t110 () (not @t84)) % 2.13/2.36 (define @t111 () (tptp.tl @t40)) % 2.13/2.36 (define @t112 () (tptp.lt @t2 @t100)) % 2.13/2.36 (define @t113 () (tptp.leq @t2 @t100)) % 2.13/2.36 (define @t114 () (@var "W" $$unsorted)) % 2.13/2.36 (define @t115 () (tptp.app @t114 @t2)) % 2.13/2.36 (define @t116 () (not (tptp.ssList @t114))) % 2.13/2.36 (define @t117 () (@list @t2 @t40 @t114)) % 2.13/2.36 (define @t118 () (tptp.app @t2 @t114)) % 2.13/2.36 (define @t119 () (tptp.cons @t40 @t114)) % 2.13/2.36 (define @t120 () (tptp.cons @t114 @t2)) % 2.13/2.36 (define @t121 () (not (tptp.ssItem @t114))) % 2.13/2.36 (define @t122 () (not (tptp.memberP @t2 @t40))) % 2.13/2.36 (define @t123 () (not (= @t94 @t114))) % 2.13/2.36 (define @t124 () (tptp.lt @t2 @t114)) % 2.13/2.36 (define @t125 () (not (tptp.lt @t40 @t114))) % 2.13/2.36 (define @t126 () (tptp.app @t114 @t40)) % 2.13/2.36 (define @t127 () (= @t40 @t114)) % 2.13/2.36 (define @t128 () (= @t2 @t114)) % 2.13/2.36 (define @t129 () (tptp.memberP @t40 @t114)) % 2.13/2.36 (define @t130 () (@var "X" $$unsorted)) % 2.13/2.36 (define @t131 () (not (tptp.ssList @t130))) % 2.13/2.36 (define @t132 () (tptp.cons @t114 @t130)) % 2.13/2.36 (define @t133 () (not (= @t66 @t132))) % 2.13/2.36 (define @t134 () (@list @t2 @t40 @t114 @t130)) % 2.13/2.36 (define @t135 () (tptp.segmentP @t130 @t40)) % 2.13/2.36 (define @t136 () (tptp.app @t94 @t114)) % 2.13/2.36 (define @t137 () (not (= @t136 @t130))) % 2.13/2.36 (define @t138 () (or @t137 @t116 @t47 @t65 @t131 @t135)) % 2.13/2.36 (define @t139 () (forall @t134 @t138)) % 2.13/2.36 (define @t140 () (not (tptp.frontsegP @t66 @t132))) % 2.13/2.36 (define @t141 () (tptp.app @t2 @t119)) % 2.13/2.36 (define @t142 () (not (tptp.ssItem @t130))) % 2.13/2.36 (define @t143 () (@var "Y" $$unsorted)) % 2.13/2.36 (define @t144 () (not (tptp.ssList @t143))) % 2.13/2.36 (define @t145 () (@list @t2 @t40 @t114 @t130 @t143)) % 2.13/2.36 (define @t146 () (tptp.lt @t40 @t130)) % 2.13/2.36 (define @t147 () (@var "Z" $$unsorted)) % 2.13/2.36 (define @t148 () (not (tptp.ssList @t147))) % 2.13/2.36 (define @t149 () (not (= (tptp.app @t141 (tptp.cons @t130 @t143)) @t147))) % 2.13/2.36 (define @t150 () (@list @t2 @t40 @t114 @t130 @t143 @t147)) % 2.13/2.36 (define @t151 () (tptp.leq @t40 @t130)) % 2.13/2.36 (define @t152 () (tptp.ssList tptp.sk1)) % 2.13/2.36 (define @t153 () (tptp.ssList tptp.sk3)) % 2.13/2.36 (define @t154 () (= tptp.sk2 tptp.sk4)) % 2.13/2.36 (define @t155 () (= tptp.sk1 tptp.sk3)) % 2.13/2.36 (define @t156 () (tptp.ssList tptp.sk5)) % 2.13/2.36 (define @t157 () (tptp.ssList tptp.sk6)) % 2.13/2.36 (define @t158 () (tptp.app tptp.sk5 tptp.sk3)) % 2.13/2.36 (define @t159 () (tptp.app @t158 tptp.sk6)) % 2.13/2.36 (define @t160 () (@var "C" $$unsorted)) % 2.13/2.36 (define @t161 () (@var "A" $$unsorted)) % 2.13/2.36 (define @t162 () (@var "D" $$unsorted)) % 2.13/2.36 (define @t163 () (tptp.cons @t160 tptp.nil)) % 2.13/2.36 (define @t164 () (not (tptp.ssList @t162))) % 2.13/2.36 (define @t165 () (not (tptp.ssItem @t160))) % 2.13/2.36 (define @t166 () (tptp.cons @t161 tptp.nil)) % 2.13/2.36 (define @t167 () (@var "B" $$unsorted)) % 2.13/2.36 (define @t168 () (not (tptp.ssList @t167))) % 2.13/2.36 (define @t169 () (not (tptp.ssItem @t161))) % 2.13/2.36 (define @t170 () (@list @t161 @t167 @t160 @t162)) % 2.13/2.36 (define @t171 () (= tptp.nil tptp.sk3)) % 2.13/2.36 (define @t172 () (not @t171)) % 2.13/2.36 (define @t173 () (= tptp.nil tptp.sk4)) % 2.13/2.36 (define @t174 () (tptp.neq tptp.sk2 tptp.nil)) % 2.13/2.36 (define @t175 () (= tptp.nil tptp.sk2)) % 2.13/2.36 (define @t176 () (not (tptp.segmentP tptp.sk1 @t161))) % 2.13/2.36 (define @t177 () (not (tptp.segmentP tptp.sk2 @t161))) % 2.13/2.36 (define @t178 () (not (tptp.neq @t161 tptp.nil))) % 2.13/2.36 (define @t179 () (not (tptp.ssList @t161))) % 2.13/2.36 (define @t180 () (or @t175 @t179 @t178 @t177 @t176)) % 2.13/2.36 (define @t181 () (@list @t161)) % 2.13/2.36 (define @t182 () (forall @t181 @t180)) % 2.13/2.36 (define @t183 () (= tptp.nil tptp.sk1)) % 2.13/2.36 (define @t184 () (not @t183)) % 2.13/2.36 (define @t185 () (= tptp.sk4 @t159)) % 2.13/2.36 (define @t186 () (= tptp.nil @t159)) % 2.13/2.36 (define @t187 () (and @t173 @t185)) % 2.13/2.36 (define @t188 () (not @t173)) % 2.13/2.36 (define @t189 () (not @t185)) % 2.13/2.36 (define @t190 () (tptp.segmentP @t136 @t40)) % 2.13/2.36 (define @t191 () (not (tptp.ssList @t136))) % 2.13/2.36 (define @t192 () (not (= @t136 @t136))) % 2.13/2.36 (define @t193 () (or @t192 @t116 @t47 @t65 @t191 @t190)) % 2.13/2.36 (define @t194 () (not (= @t130 @t136))) % 2.13/2.36 (define @t195 () (or @t194 @t194 @t116 @t47 @t65 @t131 @t135)) % 2.13/2.36 (define @t196 () (@list @t130)) % 2.13/2.36 (define @t197 () (or @t194 @t116 @t47 @t65 @t131 @t135)) % 2.13/2.36 (define @t198 () (forall @t196 @t197)) % 2.13/2.36 (define @t199 () (forall @t117 @t198)) % 2.13/2.36 (define @t200 () (tptp.ssList @t159)) % 2.13/2.36 (define @t201 () (tptp.segmentP @t159 tptp.sk3)) % 2.13/2.36 (define @t202 () (not @t200)) % 2.13/2.36 (define @t203 () (not @t153)) % 2.13/2.36 (define @t204 () (not @t156)) % 2.13/2.36 (define @t205 () (not @t157)) % 2.13/2.36 (define @t206 () (or @t205 @t204 @t203 @t202 @t201)) % 2.13/2.36 (define @t207 () (tptp.segmentP tptp.nil tptp.sk1)) % 2.13/2.36 (define @t208 () (and @t155 @t173 @t185 @t201)) % 2.13/2.36 (define @t209 () (tptp.ssList @t158)) % 2.13/2.36 (define @t210 () (or @t203 @t204 @t209)) % 2.13/2.36 (define @t211 () (= tptp.nil @t158)) % 2.13/2.36 (define @t212 () (not @t209)) % 2.13/2.36 (define @t213 () (not @t186)) % 2.13/2.36 (define @t214 () (or @t213 @t205 @t212 @t211)) % 2.13/2.36 (define @t215 () (@list tptp.sk1)) % 2.13/2.36 (define @t216 () (not @t152)) % 2.13/2.36 (define @t217 () (not @t207)) % 2.13/2.36 (define @t218 () (or @t217 @t216 @t183)) % 2.13/2.36 (define @t219 () (@list tptp.sk6)) % 2.13/2.36 (define @t220 () (tptp.app tptp.sk6 tptp.nil)) % 2.13/2.36 (define @t221 () (= tptp.sk6 @t220)) % 2.13/2.36 (define @t222 () (or @t205 @t221)) % 2.13/2.36 (define @t223 () (@list false false)) % 2.13/2.36 (define @t224 () (= tptp.sk6 (tptp.app tptp.nil tptp.sk6))) % 2.13/2.36 (define @t225 () (or @t205 @t224)) % 2.13/2.36 (define @t226 () (not (tptp.neq @t40 @t40))) % 2.13/2.36 (define @t227 () (not (= @t40 @t40))) % 2.13/2.36 (define @t228 () (or @t227 @t226 @t65 @t65)) % 2.13/2.36 (define @t229 () (@list @t40)) % 2.13/2.36 (define @t230 () (or @t89 @t89 @t91 @t65 @t47)) % 2.13/2.36 (define @t231 () (forall @t4 @t92)) % 2.13/2.36 (define @t232 () (forall @t229 @t231)) % 2.13/2.36 (define @t233 () (forall (@list @t40 @t2) @t92)) % 2.13/2.36 (define @t234 () (tptp.neq tptp.sk6 tptp.sk6)) % 2.13/2.36 (define @t235 () (not @t234)) % 2.13/2.36 (define @t236 () (or @t235 @t205)) % 2.13/2.36 (define @t237 () (not @t174)) % 2.13/2.36 (define @t238 () (not @t211)) % 2.13/2.36 (define @t239 () (not @t224)) % 2.13/2.36 (define @t240 () (not @t221)) % 2.13/2.36 (define @t241 () (not @t154)) % 2.13/2.36 (define @t242 () (and @t154 @t173 @t185 @t221 @t224 @t235 @t211)) % 2.13/2.36 (define @t243 () (not @t175)) % 2.13/2.36 (define @t244 () (and @t154 @t188)) % 2.13/2.36 (define @t245 () (@list true false)) % 2.13/2.36 (define @t246 () (or @t179 @t178 @t177 @t176)) % 2.13/2.36 (define @t247 () (forall @t181 @t246)) % 2.13/2.36 (define @t248 () (or @t175 @t246)) % 2.13/2.36 (define @t249 () (@list true)) % 2.13/2.36 (define @t250 () (tptp.segmentP tptp.sk1 tptp.sk3)) % 2.13/2.36 (define @t251 () (not @t250)) % 2.13/2.36 (define @t252 () (tptp.segmentP tptp.sk2 tptp.sk3)) % 2.13/2.36 (define @t253 () (not @t252)) % 2.13/2.36 (define @t254 () (tptp.neq tptp.sk3 tptp.nil)) % 2.13/2.36 (define @t255 () (not @t254)) % 2.13/2.36 (define @t256 () (or @t203 @t255 @t253 @t251)) % 2.13/2.36 (define @t257 () (tptp.segmentP tptp.sk1 tptp.sk1)) % 2.13/2.36 (define @t258 () (or @t216 @t257)) % 2.13/2.36 (define @t259 () (not @t1)) % 2.13/2.36 (define @t260 () (or @t259 @t203 @t254 @t171)) % 2.13/2.36 (define @t261 () (not @t260)) % 2.13/2.36 (define @t262 () (forall @t41 (or @t47 @t65 @t74 @t88))) % 2.13/2.36 (assume @p1 (tptp.equalelemsP tptp.nil)) % 2.13/2.36 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 2.13/2.36 (assume @p3 (tptp.strictorderedP tptp.nil)) % 2.13/2.36 (assume @p4 (tptp.totalorderedP tptp.nil)) % 2.13/2.36 (assume @p5 (tptp.strictorderP tptp.nil)) % 2.13/2.36 (assume @p6 (tptp.totalorderP tptp.nil)) % 2.13/2.36 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 2.13/2.36 (assume @p8 @t1) % 2.13/2.36 (assume @p9 (tptp.ssItem tptp.skac3)) % 2.13/2.36 (assume @p10 (tptp.ssItem tptp.skac2)) % 2.13/2.36 (assume @p11 (not (tptp.singletonP tptp.nil))) % 2.13/2.36 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 2.13/2.36 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 2.13/2.36 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 2.13/2.36 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 2.13/2.36 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 2.13/2.36 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 2.13/2.36 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 2.13/2.36 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 2.13/2.36 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 2.13/2.36 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 2.13/2.36 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 2.13/2.36 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 2.13/2.36 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 2.13/2.36 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 2.13/2.36 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 2.13/2.36 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 2.13/2.36 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 2.13/2.36 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 2.13/2.36 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 2.13/2.36 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 2.13/2.36 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 2.13/2.36 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 2.13/2.36 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 2.13/2.36 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 2.13/2.36 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 2.13/2.36 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 2.13/2.36 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 2.13/2.36 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 2.13/2.36 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 2.13/2.36 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 2.13/2.36 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 2.13/2.36 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 2.13/2.36 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 2.13/2.36 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 2.13/2.36 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 2.13/2.36 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 2.13/2.36 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 2.13/2.36 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 2.13/2.36 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 2.13/2.36 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 2.13/2.36 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 2.13/2.36 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 2.13/2.36 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 2.13/2.36 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 2.13/2.36 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 2.13/2.36 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 2.13/2.36 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 2.13/2.36 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 2.13/2.36 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 2.13/2.36 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 2.13/2.36 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 2.13/2.36 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 2.13/2.36 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 2.13/2.36 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 2.13/2.36 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 2.13/2.36 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 2.13/2.36 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 2.13/2.36 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 2.13/2.36 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 2.13/2.36 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 2.13/2.36 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 2.13/2.36 (assume @p73 @t53) % 2.13/2.36 (assume @p74 @t56) % 2.13/2.36 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t58) @t57))) % 2.13/2.36 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t59) @t57))) % 2.13/2.36 (assume @p77 (forall @t4 (or @t61 @t47 @t60))) % 2.13/2.36 (assume @p78 (forall @t4 (or (not @t60) @t47 @t57))) % 2.13/2.36 (assume @p79 (forall @t4 (or @t61 @t47 @t62))) % 2.13/2.36 (assume @p80 (forall @t4 (or (not @t62) @t47 @t57))) % 2.13/2.36 (assume @p81 (forall @t4 (or @t61 @t47 @t63))) % 2.13/2.36 (assume @p82 (forall @t4 (or (not @t63) @t47 @t57))) % 2.13/2.36 (assume @p83 (forall @t41 (or @t47 @t65 (tptp.ssList @t64)))) % 2.13/2.36 (assume @p84 (forall @t41 (or @t46 @t65 (tptp.ssList @t66)))) % 2.13/2.36 (assume @p85 (forall @t4 (or @t47 @t67 (tptp.leq @t37 @t38)))) % 2.13/2.36 (assume @p86 (forall @t4 (or @t47 @t67 (tptp.leq @t38 @t37)))) % 2.13/2.36 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t68))) % 2.13/2.36 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t69))) % 2.13/2.36 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t70))) % 2.13/2.36 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t71))) % 2.13/2.36 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t71))) % 2.13/2.36 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t72))) % 2.13/2.36 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t72))) % 2.13/2.36 (assume @p94 (forall @t41 (or @t46 @t65 (= (tptp.tl @t66) @t40)))) % 2.13/2.36 (assume @p95 (forall @t41 (or @t46 @t65 (= (tptp.hd @t66) @t2)))) % 2.13/2.36 (assume @p96 (forall @t41 (or (not (= @t66 tptp.nil)) @t46 @t65))) % 2.13/2.36 (assume @p97 (forall @t41 (or (not (= @t66 @t40)) @t46 @t65))) % 2.13/2.36 (assume @p98 @t76) % 2.13/2.36 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 2.13/2.36 (assume @p100 (forall @t41 (or @t46 @t77 @t74 @t73))) % 2.13/2.36 (assume @p101 (forall @t41 (or @t80 @t77 @t46 @t78))) % 2.13/2.36 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t59 @t58) @t2) @t57))) % 2.13/2.36 (assume @p103 (forall @t41 (or @t82 @t77 @t46 @t81))) % 2.13/2.36 (assume @p104 (forall @t41 (or @t80 @t46 @t77 @t83))) % 2.13/2.36 (assume @p105 (forall @t41 (or @t85 @t77 @t46 @t84))) % 2.13/2.36 (assume @p106 (forall @t41 (or @t87 @t46 @t77 @t86))) % 2.13/2.36 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t57))) % 2.13/2.36 (assume @p108 (forall @t41 (or @t82 (not @t83) @t46 @t77))) % 2.13/2.36 (assume @p109 (forall @t41 (or @t89 @t80 @t77 @t46))) % 2.13/2.36 (assume @p110 (forall @t41 (or @t61 @t47 @t77 (tptp.strictorderedP @t90)))) % 2.13/2.36 (assume @p111 (forall @t41 (or @t61 @t47 @t77 (tptp.totalorderedP @t90)))) % 2.13/2.36 (assume @p112 (forall @t41 (or @t80 (not @t81) @t46 @t77))) % 2.13/2.36 (assume @p113 @t93) % 2.13/2.36 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t65 (tptp.singletonP @t40)))) % 2.13/2.36 (assume @p115 (forall @t41 (or @t89 @t91 @t77 @t46))) % 2.13/2.36 (assume @p116 @t98) % 2.13/2.36 (assume @p117 (forall @t41 (or @t96 @t65 @t47 @t99))) % 2.13/2.36 (assume @p118 (forall @t41 (or @t46 @t65 (= (tptp.app @t48 @t40) @t66)))) % 2.13/2.36 (assume @p119 (forall @t41 (or @t87 @t77 @t46 @t79 @t88))) % 2.13/2.36 (assume @p120 (forall @t41 (or @t47 @t65 @t99 (= (tptp.hd @t64) @t100)))) % 2.13/2.36 (assume @p121 (forall @t41 (or @t103 @t65 @t46 @t101 @t99))) % 2.13/2.36 (assume @p122 (forall @t41 (or @t106 @t65 @t46 @t104 @t99))) % 2.13/2.36 (assume @p123 (forall @t41 (or @t85 (not @t86) @t46 @t77 @t73))) % 2.13/2.36 (assume @p124 (forall @t41 (or @t107 (not (tptp.segmentP @t40 @t2)) @t47 @t65 @t73))) % 2.13/2.36 (assume @p125 (forall @t41 (or @t108 (not (tptp.rearsegP @t40 @t2)) @t47 @t65 @t73))) % 2.13/2.36 (assume @p126 (forall @t41 (or @t109 (not (tptp.frontsegP @t40 @t2)) @t47 @t65 @t73))) % 2.13/2.36 (assume @p127 (forall @t41 (or @t87 @t110 @t46 @t77 @t73))) % 2.13/2.36 (assume @p128 (forall @t41 (or @t108 @t65 @t47 (= (tptp.app @t43 @t40) @t2)))) % 2.13/2.36 (assume @p129 (forall @t41 (or @t109 @t65 @t47 (= (tptp.app @t40 @t44) @t2)))) % 2.13/2.36 (assume @p130 (forall @t41 (or @t47 @t65 @t99 (= (tptp.tl @t64) (tptp.app @t111 @t2))))) % 2.13/2.36 (assume @p131 (forall @t41 (or @t103 @t65 @t46 @t112 @t99))) % 2.13/2.36 (assume @p132 (forall @t41 (or @t106 @t65 @t46 @t113 @t99))) % 2.13/2.36 (assume @p133 (forall @t117 (or @t108 @t116 @t65 @t47 (tptp.rearsegP @t115 @t40)))) % 2.13/2.36 (assume @p134 (forall @t117 (or @t109 @t116 @t65 @t47 (tptp.frontsegP @t118 @t40)))) % 2.13/2.36 (assume @p135 (forall @t117 (or @t89 @t116 @t77 @t46 (tptp.memberP @t119 @t2)))) % 2.13/2.36 (assume @p136 (forall @t117 (or @t122 @t47 @t121 @t77 (tptp.memberP @t120 @t40)))) % 2.13/2.36 (assume @p137 (forall @t117 (or @t122 @t116 @t47 @t77 (tptp.memberP @t118 @t40)))) % 2.13/2.36 (assume @p138 (forall @t117 (or @t122 @t47 @t116 @t77 (tptp.memberP @t115 @t40)))) % 2.13/2.36 (assume @p139 (forall @t4 (or @t47 @t68 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 2.13/2.36 (assume @p140 (forall @t117 (or @t123 @t47 @t65 @t116 (tptp.rearsegP @t114 @t40)))) % 2.13/2.36 (assume @p141 (forall @t117 (or @t123 @t65 @t47 @t116 (tptp.frontsegP @t114 @t2)))) % 2.13/2.36 (assume @p142 (forall @t41 (or @t61 (not @t99) @t65 @t47 @t95))) % 2.13/2.36 (assume @p143 (forall @t117 (or @t82 (not (tptp.gt @t40 @t114)) @t121 @t77 @t46 (tptp.gt @t2 @t114)))) % 2.13/2.36 (assume @p144 (forall @t117 (or @t87 @t125 @t121 @t77 @t46 @t124))) % 2.13/2.36 (assume @p145 (forall @t117 (or @t85 (not (tptp.geq @t40 @t114)) @t121 @t77 @t46 (tptp.geq @t2 @t114)))) % 2.13/2.36 (assume @p146 (forall @t117 (or @t47 @t65 @t116 (= (tptp.app @t126 @t2) (tptp.app @t114 @t64))))) % 2.13/2.36 (assume @p147 (forall @t117 (or (not (= @t94 @t118)) @t65 @t47 @t116 @t127))) % 2.13/2.36 (assume @p148 (forall @t117 (or (not (= @t94 @t126)) @t47 @t65 @t116 @t128))) % 2.13/2.36 (assume @p149 (forall @t117 (or @t107 (not (tptp.segmentP @t40 @t114)) @t116 @t65 @t47 (tptp.segmentP @t2 @t114)))) % 2.13/2.36 (assume @p150 (forall @t117 (or @t108 (not (tptp.rearsegP @t40 @t114)) @t116 @t65 @t47 (tptp.rearsegP @t2 @t114)))) % 2.13/2.36 (assume @p151 (forall @t117 (or @t109 (not (tptp.frontsegP @t40 @t114)) @t116 @t65 @t47 (tptp.frontsegP @t2 @t114)))) % 2.13/2.36 (assume @p152 (forall @t117 (or @t80 @t125 @t121 @t77 @t46 @t124))) % 2.13/2.36 (assume @p153 (forall @t117 (or @t87 (not (tptp.leq @t40 @t114)) @t121 @t77 @t46 (tptp.leq @t2 @t114)))) % 2.13/2.36 (assume @p154 (forall @t117 (or @t46 @t65 @t116 (= (tptp.cons @t2 (tptp.app @t40 @t114)) (tptp.app @t66 @t114))))) % 2.13/2.36 (assume @p155 (forall @t117 (or (not (tptp.memberP @t94 @t114)) @t65 @t47 @t121 @t129 (tptp.memberP @t2 @t114)))) % 2.13/2.36 (assume @p156 (forall @t41 (or (not @t113) (not @t104) @t65 @t46 @t105 @t99))) % 2.13/2.36 (assume @p157 (forall @t41 (or (not @t112) (not @t101) @t65 @t46 @t102 @t99))) % 2.13/2.36 (assume @p158 (forall @t117 (or (not (tptp.memberP @t66 @t114)) @t65 @t46 @t121 @t129 (= @t114 @t2)))) % 2.13/2.36 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 2.13/2.36 (assume @p160 (forall @t4 (or @t47 @t69 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 2.13/2.36 (assume @p161 (forall @t4 (or @t47 @t70 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 2.13/2.36 (assume @p162 (forall @t4 (or @t47 @t71 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 2.13/2.36 (assume @p163 (forall @t4 (or @t47 @t72 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 2.13/2.36 (assume @p164 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 2.13/2.36 (assume @p165 (forall @t41 (or @t107 @t65 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 2.13/2.36 (assume @p166 (forall @t41 (or @t122 @t77 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 2.13/2.36 (assume @p167 (forall @t134 (or @t133 @t121 @t46 @t131 @t65 @t128))) % 2.13/2.36 (assume @p168 (forall @t134 (or @t133 @t121 @t46 @t131 @t65 (= @t130 @t40)))) % 2.13/2.36 (assume @p169 (forall @t134 (or @t107 @t116 @t131 @t65 @t47 (tptp.segmentP (tptp.app (tptp.app @t130 @t2) @t114) @t40)))) % 2.13/2.36 (assume @p170 @t139) % 2.13/2.36 (assume @p171 (forall @t134 (or @t140 @t131 @t65 @t121 @t46 (tptp.frontsegP @t40 @t130)))) % 2.13/2.36 (assume @p172 (forall @t134 (or (not (= @t141 @t130)) @t116 @t47 @t77 @t131 (tptp.memberP @t130 @t40)))) % 2.13/2.36 (assume @p173 (forall @t134 (or @t140 @t131 @t65 @t121 @t46 @t128))) % 2.13/2.36 (assume @p174 (forall @t41 (or (not (= @t58 @t111)) (not (= @t59 @t100)) @t47 @t65 @t99 @t88 @t57))) % 2.13/2.36 (assume @p175 (forall @t134 (or @t109 (not (= @t114 @t130)) @t65 @t47 @t142 @t121 (tptp.frontsegP @t120 (tptp.cons @t130 @t40))))) % 2.13/2.36 (assume @p176 (forall @t145 (or (not (= (tptp.app @t141 (tptp.cons @t40 @t130)) @t143)) @t131 @t116 @t47 @t77 (not (tptp.duplicatefreeP @t143)) @t144))) % 2.13/2.36 (assume @p177 (forall @t145 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t132)) @t143)) @t131 @t47 @t121 @t77 (not (tptp.equalelemsP @t143)) @t144 @t127))) % 2.13/2.36 (assume @p178 (forall @t150 (or @t149 @t144 @t116 @t47 @t142 @t77 (not (tptp.strictorderedP @t147)) @t148 @t146))) % 2.13/2.36 (assume @p179 (forall @t150 (or @t149 @t144 @t116 @t47 @t142 @t77 (not (tptp.totalorderedP @t147)) @t148 @t151))) % 2.13/2.36 (assume @p180 (forall @t150 (or @t149 @t144 @t116 @t47 @t142 @t77 (not (tptp.strictorderP @t147)) @t148 @t146 (tptp.lt @t130 @t40)))) % 2.13/2.36 (assume @p181 (forall @t150 (or @t149 @t144 @t116 @t47 @t142 @t77 (not (tptp.totalorderP @t147)) @t148 @t151 (tptp.leq @t130 @t40)))) % 2.13/2.36 (assume @p182 (forall @t150 (or @t87 @t110 (not (= (tptp.app (tptp.app @t114 (tptp.cons @t2 @t130)) (tptp.cons @t40 @t143)) @t147)) @t144 @t131 @t116 @t77 @t46 (not (tptp.cyclefreeP @t147)) @t148))) % 2.13/2.36 (assume @p183 @t152) % 2.13/2.36 (assume @p184 (tptp.ssList tptp.sk2)) % 2.13/2.36 (assume @p185 @t153) % 2.13/2.36 (assume @p186 (tptp.ssList tptp.sk4)) % 2.13/2.36 (assume @p187 @t154) % 2.13/2.36 (assume @p188 @t155) % 2.13/2.36 (assume @p189 @t156) % 2.13/2.36 (assume @p190 @t157) % 2.13/2.36 (assume @p191 (= @t159 tptp.sk4)) % 2.13/2.36 (assume @p192 (tptp.strictorderedP tptp.sk3)) % 2.13/2.36 (assume @p193 (forall @t170 (or @t169 @t168 (not (= (tptp.app @t167 @t166) tptp.sk5)) @t165 @t164 (not (= (tptp.app @t163 @t162) tptp.sk3)) (not (tptp.lt @t161 @t160))))) % 2.13/2.36 (assume @p194 (forall @t170 (or @t169 @t168 (not (= (tptp.app @t166 @t167) tptp.sk6)) @t165 @t164 (not (= (tptp.app @t162 @t163) tptp.sk3)) (not (tptp.lt @t160 @t161))))) % 2.13/2.36 (assume @p195 (or @t173 @t172)) % 2.13/2.36 (assume @p196 (or @t175 @t174)) % 2.13/2.36 (assume @p197 @t182) % 2.13/2.36 (assume @p198 (or @t184 @t174)) % 2.13/2.36 (assume @p199 (forall @t181 (or @t184 @t179 @t178 @t177 @t176))) % 2.13/2.36 (step @p200 :rule eq-symm :args (@t40 @t2)) % 2.13/2.36 (step @p201 :rule refl :args (@t74)) % 2.13/2.36 (step @p202 :rule refl :args (@t65)) % 2.13/2.36 (step @p203 :rule refl :args (@t47)) % 2.13/2.36 (step @p204 :rule nary_cong :premises (@p203 @p202 @p201 @p200) :args (@t75)) % 2.13/2.36 (step @p205 :rule cong :premises (@p204) :args (@t76)) % 2.13/2.36 (step @p206 :rule eq_resolve :premises (@p98 @p205)) % 2.13/2.36 (step @p207 :rule symm :premises (@p191)) % 2.13/2.36 (assume-push @p473 @t173) % 2.13/2.36 (assume-push @p474 @t185) % 2.13/2.36 (assume-push @p475 @t185) % 2.13/2.36 (assume-push @p476 @t173) % 2.13/2.36 (step @p212 :rule trans :premises (@p473 @p207)) % 2.13/2.36 (step-pop @p477 :rule scope :premises (@p212)) % 2.13/2.36 (step-pop @p478 :rule scope :premises (@p477)) % 2.13/2.36 (step @p213 :rule process_scope :premises (@p478) :args (@t186)) % 2.13/2.36 (step @p216 :rule and_intro :premises (@p207 @p473)) % 2.13/2.36 (step @p217 :rule modus_ponens :premises (@p216 @p213)) % 2.13/2.36 (step-pop @p479 :rule scope :premises (@p217)) % 2.13/2.36 (step-pop @p480 :rule scope :premises (@p479)) % 2.13/2.36 (step @p218 :rule process_scope :premises (@p480) :args (@t186)) % 2.13/2.36 (step @p221 :rule implies_elim :premises (@p218)) % 2.13/2.36 (step @p222 :rule cnf_and_neg :args (@t187)) % 2.13/2.36 (step @p223 :rule resolution :premises (@p222 @p221) :args (true @t187)) % 2.13/2.36 (step @p224 :rule reordering :premises (@p223) :args ((or @t189 @t188 @t186))) % 2.13/2.36 (step @p225 :rule aci_norm :args ((= (or false @t116 @t47 @t65 @t191 @t190) (or @t116 @t47 @t65 @t191 @t190)))) % 2.13/2.36 (step @p226 :rule refl :args (@t190)) % 2.13/2.36 (step @p227 :rule refl :args (@t191)) % 2.13/2.36 (step @p228 :rule refl :args (@t116)) % 2.13/2.36 (step @p229 :rule evaluate :args ((not true))) % 2.13/2.36 (step @p230 :rule eq-refl :args (@t136)) % 2.13/2.36 (step @p231 :rule cong :premises (@p230) :args (@t192)) % 2.13/2.36 (step @p232 :rule trans :premises (@p231 @p229)) % 2.13/2.36 (step @p233 :rule nary_cong :premises (@p232 @p228 @p203 @p202 @p227 @p226) :args (@t193)) % 2.13/2.36 (step @p234 :rule trans :premises (@p233 @p225)) % 2.13/2.36 (step @p235 :rule cong :premises (@p234) :args ((forall @t117 @t193))) % 2.13/2.36 (step @p236 :rule quant-var-elim-eq :args ((= (forall @t196 @t195) @t193))) % 2.13/2.36 (step @p237 :rule aci_norm :args ((= @t197 @t195))) % 2.13/2.36 (step @p238 :rule cong :premises (@p237) :args (@t198)) % 2.13/2.36 (step @p239 :rule trans :premises (@p238 @p236)) % 2.13/2.36 (step @p240 :rule cong :premises (@p239) :args (@t199)) % 2.13/2.36 (step @p241 :rule quant-merge-prenex :args ((= @t199 (forall @t134 @t197)))) % 2.13/2.36 (step @p242 :rule symm :premises (@p241)) % 2.13/2.36 (step @p243 :rule trans :premises (@p242 @p240)) % 2.13/2.36 (step @p244 :rule trans :premises (@p243 @p235)) % 2.13/2.36 (step @p245 :rule refl :args (@t135)) % 2.13/2.36 (step @p246 :rule refl :args (@t131)) % 2.13/2.36 (step @p247 :rule eq-symm :args (@t136 @t130)) % 2.13/2.36 (step @p248 :rule cong :premises (@p247) :args (@t137)) % 2.13/2.36 (step @p249 :rule nary_cong :premises (@p248 @p228 @p203 @p202 @p246 @p245) :args (@t138)) % 2.13/2.36 (step @p250 :rule cong :premises (@p249) :args (@t139)) % 2.13/2.36 (step @p251 :rule trans :premises (@p250 @p244)) % 2.13/2.36 (step @p252 :rule eq_resolve :premises (@p170 @p251)) % 2.13/2.36 (step @p253 :rule instantiate :premises (@p252) :args ((@list tptp.sk5 tptp.sk3 tptp.sk6))) % 2.13/2.36 (step @p254 :rule true_intro :premises (@p184)) % 2.13/2.36 (step @p255 :rule symm :premises (@p187)) % 2.13/2.36 (step @p256 :rule trans :premises (@p191 @p255)) % 2.13/2.36 (step @p257 :rule cong :premises (@p256) :args (@t200)) % 2.13/2.36 (step @p258 :rule trans :premises (@p257 @p254)) % 2.13/2.36 (step @p259 :rule true_elim :premises (@p258)) % 2.13/2.36 (step @p260 :rule cnf_or_pos :args (@t206)) % 2.13/2.36 (step @p261 :rule reordering :premises (@p260) :args ((or @t203 @t204 @t205 @t202 @t201 (not @t206)))) % 2.13/2.36 (step @p262 :rule chain_m_resolution :premises (@p261 @p185 @p189 @p190 @p259 @p253) :args (@t201 (@list false false false false false) (@list @t153 @t156 @t157 @t200 @t206))) % 2.13/2.36 (assume-push @p481 @t155) % 2.13/2.36 (assume-push @p482 @t173) % 2.13/2.36 (assume-push @p483 @t185) % 2.13/2.36 (assume-push @p484 @t201) % 2.13/2.36 (assume-push @p485 @t201) % 2.13/2.36 (assume-push @p486 @t185) % 2.13/2.36 (assume-push @p487 @t173) % 2.13/2.36 (assume-push @p488 @t155) % 2.13/2.36 (step @p271 :rule true_intro :premises (@p262)) % 2.13/2.36 (step @p272 :rule trans :premises (@p482 @p207)) % 2.13/2.36 (step @p273 :rule cong :premises (@p272 @p188) :args (@t207)) % 2.13/2.36 (step @p274 :rule trans :premises (@p273 @p271)) % 2.13/2.36 (step @p275 :rule true_elim :premises (@p274)) % 2.13/2.36 (step-pop @p489 :rule scope :premises (@p275)) % 2.13/2.36 (step-pop @p490 :rule scope :premises (@p489)) % 2.13/2.36 (step-pop @p491 :rule scope :premises (@p490)) % 2.13/2.36 (step-pop @p492 :rule scope :premises (@p491)) % 2.13/2.36 (step @p276 :rule process_scope :premises (@p492) :args (@t207)) % 2.13/2.36 (step @p281 :rule and_intro :premises (@p262 @p207 @p482 @p188)) % 2.13/2.36 (step @p282 :rule modus_ponens :premises (@p281 @p276)) % 2.13/2.36 (step-pop @p493 :rule scope :premises (@p282)) % 2.13/2.36 (step-pop @p494 :rule scope :premises (@p493)) % 2.13/2.36 (step-pop @p495 :rule scope :premises (@p494)) % 2.13/2.36 (step-pop @p496 :rule scope :premises (@p495)) % 2.13/2.36 (step @p283 :rule process_scope :premises (@p496) :args (@t207)) % 2.13/2.36 (step @p288 :rule implies_elim :premises (@p283)) % 2.13/2.36 (step @p289 :rule cnf_and_neg :args (@t208)) % 2.13/2.36 (step @p290 :rule resolution :premises (@p289 @p288) :args (true @t208)) % 2.13/2.36 (step @p291 :rule reordering :premises (@p290) :args ((or (not @t155) @t189 @t188 @t207 (not @t201)))) % 2.13/2.36 (step @p292 :rule instantiate :premises (@p83) :args ((@list tptp.sk3 tptp.sk5))) % 2.13/2.36 (step @p293 :rule cnf_or_pos :args (@t210)) % 2.13/2.36 (step @p294 :rule reordering :premises (@p293) :args ((or @t203 @t204 @t209 (not @t210)))) % 2.13/2.36 (step @p295 :rule chain_m_resolution :premises (@p294 @p185 @p189 @p292) :args (@t209 (@list false false false) (@list @t153 @t156 @t210))) % 2.13/2.36 (step @p296 :rule refl :args (@t57)) % 2.13/2.36 (step @p297 :rule eq-symm :args (@t94 tptp.nil)) % 2.13/2.36 (step @p298 :rule cong :premises (@p297) :args (@t96)) % 2.13/2.36 (step @p299 :rule nary_cong :premises (@p298 @p202 @p203 @p296) :args (@t97)) % 2.13/2.36 (step @p300 :rule cong :premises (@p299) :args (@t98)) % 2.13/2.36 (step @p301 :rule eq_resolve :premises (@p116 @p300)) % 2.13/2.36 (step @p302 :rule instantiate :premises (@p301) :args ((@list @t158 tptp.sk6))) % 2.13/2.36 (step @p303 :rule cnf_or_pos :args (@t214)) % 2.13/2.36 (step @p304 :rule reordering :premises (@p303) :args ((or @t205 @t211 @t213 @t212 (not @t214)))) % 2.13/2.36 (step @p305 :rule instantiate :premises (@p78) :args (@t215)) % 2.13/2.36 (step @p306 :rule cnf_or_pos :args (@t218)) % 2.13/2.36 (step @p307 :rule reordering :premises (@p306) :args ((or @t183 @t216 @t217 (not @t218)))) % 2.13/2.36 (step @p308 :rule reordering :premises (@p198) :args ((or @t174 @t184))) % 2.13/2.36 (step @p309 :rule eq-symm :args (@t51 @t2)) % 2.13/2.36 (step @p310 :rule nary_cong :premises (@p203 @p309) :args (@t52)) % 2.13/2.36 (step @p311 :rule cong :premises (@p310) :args (@t53)) % 2.13/2.36 (step @p312 :rule eq_resolve :premises (@p73 @p311)) % 2.13/2.36 (step @p313 :rule instantiate :premises (@p312) :args (@t219)) % 2.13/2.36 (step @p314 :rule cnf_or_pos :args (@t222)) % 2.13/2.36 (step @p315 :rule reordering :premises (@p314) :args ((or @t205 @t221 (not @t222)))) % 2.13/2.36 (step @p316 :rule chain_m_resolution :premises (@p315 @p190 @p313) :args (@t221 @t223 (@list @t157 @t222))) % 2.13/2.36 (step @p317 :rule eq-symm :args (@t54 @t2)) % 2.13/2.36 (step @p318 :rule nary_cong :premises (@p203 @p317) :args (@t55)) % 2.13/2.36 (step @p319 :rule cong :premises (@p318) :args (@t56)) % 2.13/2.36 (step @p320 :rule eq_resolve :premises (@p74 @p319)) % 2.13/2.36 (step @p321 :rule instantiate :premises (@p320) :args (@t219)) % 2.13/2.36 (step @p322 :rule cnf_or_pos :args (@t225)) % 2.13/2.36 (step @p323 :rule reordering :premises (@p322) :args ((or @t205 @t224 (not @t225)))) % 2.13/2.36 (step @p324 :rule chain_m_resolution :premises (@p323 @p190 @p321) :args (@t224 @t223 (@list @t157 @t225))) % 2.13/2.36 (step @p325 :rule aci_norm :args ((= (or false @t226 @t65 @t65) (or @t226 @t65)))) % 2.13/2.36 (step @p326 :rule refl :args (@t226)) % 2.13/2.36 (step @p327 :rule eq-refl :args (@t40)) % 2.13/2.36 (step @p328 :rule cong :premises (@p327) :args (@t227)) % 2.13/2.36 (step @p329 :rule trans :premises (@p328 @p229)) % 2.13/2.36 (step @p330 :rule nary_cong :premises (@p329 @p326 @p202 @p202) :args (@t228)) % 2.13/2.36 (step @p331 :rule trans :premises (@p330 @p325)) % 2.13/2.36 (step @p332 :rule cong :premises (@p331) :args ((forall @t229 @t228))) % 2.13/2.36 (step @p333 :rule quant-var-elim-eq :args ((= (forall @t4 @t230) @t228))) % 2.13/2.36 (step @p334 :rule aci_norm :args ((= @t92 @t230))) % 2.13/2.36 (step @p335 :rule cong :premises (@p334) :args (@t231)) % 2.13/2.36 (step @p336 :rule trans :premises (@p335 @p333)) % 2.13/2.36 (step @p337 :rule cong :premises (@p336) :args (@t232)) % 2.13/2.36 (step @p338 :rule quant-merge-prenex :args ((= @t232 @t233))) % 2.13/2.36 (step @p339 :rule symm :premises (@p338)) % 2.13/2.36 (step @p340 :rule quant_var_reordering :args ((= @t93 @t233))) % 2.13/2.36 (step @p341 :rule trans :premises (@p340 @p339 @p337)) % 2.13/2.36 (step @p342 :rule trans :premises (@p341 @p332)) % 2.13/2.36 (step @p343 :rule eq_resolve :premises (@p113 @p342)) % 2.13/2.36 (step @p344 :rule instantiate :premises (@p343) :args (@t219)) % 2.13/2.36 (step @p345 :rule cnf_or_pos :args (@t236)) % 2.13/2.36 (step @p346 :rule reordering :premises (@p345) :args ((or @t205 @t235 (not @t236)))) % 2.13/2.36 (step @p347 :rule chain_m_resolution :premises (@p346 @p190 @p344) :args (@t235 @t223 (@list @t157 @t236))) % 2.13/2.36 (step @p348 :rule refl :args (@t237)) % 2.13/2.36 (step @p349 :rule refl :args (@t238)) % 2.13/2.36 (step @p350 :rule bool-double-not-elim :args (@t234)) % 2.13/2.36 (step @p351 :rule refl :args (@t239)) % 2.13/2.36 (step @p352 :rule refl :args (@t240)) % 2.13/2.36 (step @p353 :rule refl :args (@t189)) % 2.13/2.36 (step @p354 :rule refl :args (@t188)) % 2.13/2.36 (step @p355 :rule refl :args (@t241)) % 2.13/2.36 (step @p356 :rule nary_cong :premises (@p355 @p354 @p353 @p352 @p351 @p350 @p349 @p348) :args ((or @t241 @t188 @t189 @t240 @t239 (not @t235) @t238 @t237))) % 2.13/2.36 (assume-push @p497 @t154) % 2.13/2.36 (assume-push @p498 @t173) % 2.13/2.36 (assume-push @p499 @t185) % 2.13/2.36 (assume-push @p500 @t221) % 2.13/2.36 (assume-push @p501 @t224) % 2.13/2.36 (assume-push @p502 @t235) % 2.13/2.36 (assume-push @p503 @t211) % 2.13/2.36 (assume-push @p504 @t235) % 2.13/2.36 (assume-push @p505 @t224) % 2.13/2.36 (assume-push @p506 @t173) % 2.13/2.36 (assume-push @p507 @t185) % 2.13/2.36 (assume-push @p508 @t211) % 2.13/2.36 (assume-push @p509 @t221) % 2.13/2.36 (assume-push @p510 @t154) % 2.13/2.36 (step @p371 :rule false_intro :premises (@p347)) % 2.13/2.36 (step @p372 :rule symm :premises (@p324)) % 2.13/2.36 (step @p373 :rule symm :premises (@p316)) % 2.13/2.36 (step @p374 :rule symm :premises (@p503)) % 2.13/2.36 (step @p375 :rule cong :premises (@p374 @p373) :args ((tptp.app @t158 @t220))) % 2.13/2.36 (step @p376 :rule refl :args (@t158)) % 2.13/2.36 (step @p377 :rule cong :premises (@p376 @p316) :args (@t159)) % 2.13/2.36 (step @p378 :rule trans :premises (@p498 @p207 @p377 @p375 @p372)) % 2.13/2.36 (step @p379 :rule trans :premises (@p187 @p207 @p377 @p375 @p372)) % 2.13/2.36 (step @p380 :rule cong :premises (@p379 @p378) :args (@t174)) % 2.13/2.36 (step @p381 :rule trans :premises (@p380 @p371)) % 2.13/2.36 (step @p382 :rule false_elim :premises (@p381)) % 2.13/2.36 (step-pop @p511 :rule scope :premises (@p382)) % 2.13/2.36 (step-pop @p512 :rule scope :premises (@p511)) % 2.13/2.36 (step-pop @p513 :rule scope :premises (@p512)) % 2.13/2.36 (step-pop @p514 :rule scope :premises (@p513)) % 2.13/2.36 (step-pop @p515 :rule scope :premises (@p514)) % 2.13/2.36 (step-pop @p516 :rule scope :premises (@p515)) % 2.13/2.36 (step-pop @p517 :rule scope :premises (@p516)) % 2.13/2.36 (step @p383 :rule process_scope :premises (@p517) :args (@t237)) % 2.13/2.36 (step @p391 :rule and_intro :premises (@p347 @p324 @p498 @p207 @p503 @p316 @p187)) % 2.13/2.36 (step @p392 :rule modus_ponens :premises (@p391 @p383)) % 2.13/2.36 (step-pop @p518 :rule scope :premises (@p392)) % 2.13/2.36 (step-pop @p519 :rule scope :premises (@p518)) % 2.13/2.36 (step-pop @p520 :rule scope :premises (@p519)) % 2.13/2.36 (step-pop @p521 :rule scope :premises (@p520)) % 2.13/2.36 (step-pop @p522 :rule scope :premises (@p521)) % 2.13/2.36 (step-pop @p523 :rule scope :premises (@p522)) % 2.13/2.36 (step-pop @p524 :rule scope :premises (@p523)) % 2.13/2.36 (step @p393 :rule process_scope :premises (@p524) :args (@t237)) % 2.13/2.36 (step @p401 :rule implies_elim :premises (@p393)) % 2.13/2.36 (step @p402 :rule cnf_and_neg :args (@t242)) % 2.13/2.36 (step @p403 :rule resolution :premises (@p402 @p401) :args (true @t242)) % 2.13/2.36 (step @p404 :rule eq_resolve :premises (@p403 @p356)) % 2.13/2.36 (step @p405 :rule reordering :premises (@p404) :args ((or @t241 @t189 @t188 @t237 @t234 @t238 @t240 @t239))) % 2.13/2.36 (step @p406 :rule chain_m_resolution :premises (@p405 @p347 @p324 @p316 @p207 @p187 @p308 @p307 @p305 @p183 @p304 @p302 @p295 @p190 @p291 @p262 @p207 @p188 @p224 @p207) :args (@t188 (@list true false false false false false false false false false false false false false false false false false false) (@list @t234 @t224 @t221 @t185 @t154 @t174 @t183 @t218 @t152 @t211 @t214 @t209 @t157 @t207 @t201 @t185 @t155 @t186 @t185))) % 2.13/2.36 (step @p407 :rule refl :args (@t243)) % 2.13/2.36 (step @p408 :rule bool-double-not-elim :args (@t173)) % 2.13/2.36 (step @p409 :rule nary_cong :premises (@p355 @p408 @p407) :args ((or @t241 (not @t188) @t243))) % 2.13/2.36 (assume-push @p525 @t154) % 2.13/2.36 (assume-push @p526 @t188) % 2.13/2.36 (assume-push @p527 @t188) % 2.13/2.36 (assume-push @p528 @t154) % 2.13/2.36 (step @p414 :rule false_intro :premises (@p526)) % 2.13/2.36 (step @p415 :rule refl :args (tptp.nil)) % 2.13/2.36 (step @p416 :rule cong :premises (@p415 @p187) :args (@t175)) % 2.13/2.36 (step @p417 :rule trans :premises (@p416 @p414)) % 2.13/2.36 (step @p418 :rule false_elim :premises (@p417)) % 2.13/2.36 (step-pop @p529 :rule scope :premises (@p418)) % 2.13/2.36 (step-pop @p530 :rule scope :premises (@p529)) % 2.13/2.36 (step @p419 :rule process_scope :premises (@p530) :args (@t243)) % 2.13/2.36 (step @p422 :rule and_intro :premises (@p526 @p187)) % 2.13/2.36 (step @p423 :rule modus_ponens :premises (@p422 @p419)) % 2.13/2.36 (step-pop @p531 :rule scope :premises (@p423)) % 2.13/2.36 (step-pop @p532 :rule scope :premises (@p531)) % 2.13/2.36 (step @p424 :rule process_scope :premises (@p532) :args (@t243)) % 2.13/2.36 (step @p427 :rule implies_elim :premises (@p424)) % 2.13/2.36 (step @p428 :rule cnf_and_neg :args (@t244)) % 2.13/2.36 (step @p429 :rule resolution :premises (@p428 @p427) :args (true @t244)) % 2.13/2.36 (step @p430 :rule eq_resolve :premises (@p429 @p409)) % 2.13/2.36 (step @p431 :rule reordering :premises (@p430) :args ((or @t173 @t241 @t243))) % 2.13/2.36 (step @p432 :rule chain_m_resolution :premises (@p431 @p406 @p187) :args (@t243 @t245 (@list @t173 @t154))) % 2.13/2.36 (step @p433 :rule quant-miniscope-or :args ((= (forall @t181 @t248) (or @t175 @t247)))) % 2.13/2.36 (step @p434 :rule aci_norm :args ((= @t180 @t248))) % 2.13/2.36 (step @p435 :rule cong :premises (@p434) :args (@t182)) % 2.13/2.36 (step @p436 :rule trans :premises (@p435 @p433)) % 2.13/2.36 (step @p437 :rule eq_resolve :premises (@p197 @p436)) % 2.13/2.36 (step @p438 :rule chain_m_resolution :premises (@p437 @p432) :args (@t247 @t249 (@list @t175))) % 2.13/2.36 (assume-push @p533 @t247) % 2.13/2.36 (step @p440 :rule instantiate :premises (@p533) :args ((@list tptp.sk3))) % 2.13/2.36 (step-pop @p534 :rule scope :premises (@p440)) % 2.13/2.36 (step @p441 :rule process_scope :premises (@p534) :args (@t256)) % 2.13/2.36 (step @p443 :rule implies_elim :premises (@p441)) % 2.13/2.36 (step @p444 :rule chain_m_resolution :premises (@p443 @p438) :args (@t256 (@list false) (@list @t247))) % 2.13/2.36 (step @p445 :rule instantiate :premises (@p57) :args (@t215)) % 2.13/2.36 (step @p446 :rule cnf_or_pos :args (@t258)) % 2.13/2.36 (step @p447 :rule reordering :premises (@p446) :args ((or @t216 @t257 (not @t258)))) % 2.13/2.36 (step @p448 :rule chain_m_resolution :premises (@p447 @p183 @p445) :args (@t257 @t223 (@list @t152 @t258))) % 2.13/2.36 (step @p449 :rule true_intro :premises (@p448)) % 2.13/2.36 (step @p450 :rule symm :premises (@p188)) % 2.13/2.36 (step @p451 :rule refl :args (tptp.sk1)) % 2.13/2.36 (step @p452 :rule cong :premises (@p451 @p450) :args (@t250)) % 2.13/2.36 (step @p453 :rule trans :premises (@p452 @p449)) % 2.13/2.36 (step @p454 :rule true_elim :premises (@p453)) % 2.13/2.36 (step @p271 :rule true_intro :premises (@p262)) % 2.13/2.36 (step @p455 :rule refl :args (tptp.sk3)) % 2.13/2.36 (step @p456 :rule trans :premises (@p187 @p207)) % 2.13/2.36 (step @p457 :rule cong :premises (@p456 @p455) :args (@t252)) % 2.13/2.36 (step @p458 :rule trans :premises (@p457 @p271)) % 2.13/2.36 (step @p459 :rule true_elim :premises (@p458)) % 2.13/2.36 (step @p460 :rule cnf_or_pos :args (@t256)) % 2.13/2.36 (step @p461 :rule reordering :premises (@p460) :args ((or @t203 @t255 @t253 @t251 (not @t256)))) % 2.13/2.36 (step @p462 :rule chain_m_resolution :premises (@p461 @p185 @p459 @p454 @p444) :args (@t255 (@list false false false false) (@list @t153 @t252 @t250 @t256))) % 2.13/2.36 (step @p463 :rule chain_m_resolution :premises (@p195 @p406) :args (@t172 @t249 (@list @t173))) % 2.13/2.36 (step @p464 :rule cnf_or_pos :args (@t260)) % 2.13/2.36 (step @p465 :rule reordering :premises (@p464) :args ((or @t171 @t259 @t203 @t254 @t261))) % 2.13/2.36 (step @p466 :rule chain_m_resolution :premises (@p465 @p463 @p8 @p185 @p462) :args (@t261 (@list true false false true) (@list @t171 @t1 @t153 @t254))) % 2.13/2.36 (assume-push @p535 @t262) % 2.13/2.36 (step @p468 :rule instantiate :premises (@p206) :args ((@list tptp.nil tptp.sk3))) % 2.13/2.36 (step-pop @p536 :rule scope :premises (@p468)) % 2.13/2.36 (step @p469 :rule process_scope :premises (@p536) :args (@t260)) % 2.13/2.36 (step @p471 :rule implies_elim :premises (@p469)) % 2.13/2.36 (step @p472 false :rule chain_m_resolution :premises (@p471 @p466 @p206) :args (false @t245 (@list @t260 @t262))) % 2.13/2.36 ) % 2.13/2.37 % SZS output end Proof % 2.13/2.38 % cvc5 exiting %------------------------------------------------------------------------------