%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC348-1 : 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 : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:58 AM UTC 2026 % Result : Unsatisfiable 34.24s 34.76s % Output : Proof 34.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC348-1 : 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 % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:42:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/16.26 --- Run --no-e-matching --full-saturate-quant at 6... % 22.02/22.30 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.12/28.34 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.13/34.40 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.24/34.76 % SZS status Unsatisfiable % 34.24/34.76 % SZS output start Proof % 34.24/34.77 ( % 34.24/34.77 (declare-sort $$unsorted 0) % 34.24/34.77 (declare-const tptp.sk4 $$unsorted) % 34.24/34.77 (declare-const tptp.sk2 $$unsorted) % 34.24/34.77 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.nil $$unsorted) % 34.24/34.77 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.sk1 $$unsorted) % 34.24/34.77 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skac2 $$unsorted) % 34.24/34.77 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.sk3 $$unsorted) % 34.24/34.77 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skac3 $$unsorted) % 34.24/34.77 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.77 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.24/34.77 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.24/34.77 (define @t1 () (tptp.strictorderedP tptp.nil)) % 34.24/34.77 (define @t2 () (tptp.ssList tptp.nil)) % 34.24/34.77 (define @t3 () (@var "U" $$unsorted)) % 34.24/34.77 (define @t4 () (tptp.skaf83 @t3)) % 34.24/34.78 (define @t5 () (@list @t3)) % 34.24/34.78 (define @t6 () (tptp.skaf82 @t3)) % 34.24/34.78 (define @t7 () (tptp.skaf81 @t3)) % 34.24/34.78 (define @t8 () (tptp.skaf80 @t3)) % 34.24/34.78 (define @t9 () (tptp.skaf79 @t3)) % 34.24/34.78 (define @t10 () (tptp.skaf78 @t3)) % 34.24/34.78 (define @t11 () (tptp.skaf77 @t3)) % 34.24/34.78 (define @t12 () (tptp.skaf76 @t3)) % 34.24/34.78 (define @t13 () (tptp.skaf75 @t3)) % 34.24/34.78 (define @t14 () (tptp.skaf74 @t3)) % 34.24/34.78 (define @t15 () (tptp.skaf73 @t3)) % 34.24/34.78 (define @t16 () (tptp.skaf72 @t3)) % 34.24/34.78 (define @t17 () (tptp.skaf71 @t3)) % 34.24/34.78 (define @t18 () (tptp.skaf70 @t3)) % 34.24/34.78 (define @t19 () (tptp.skaf69 @t3)) % 34.24/34.78 (define @t20 () (tptp.skaf68 @t3)) % 34.24/34.78 (define @t21 () (tptp.skaf67 @t3)) % 34.24/34.78 (define @t22 () (tptp.skaf66 @t3)) % 34.24/34.78 (define @t23 () (tptp.skaf65 @t3)) % 34.24/34.78 (define @t24 () (tptp.skaf64 @t3)) % 34.24/34.78 (define @t25 () (tptp.skaf63 @t3)) % 34.24/34.78 (define @t26 () (tptp.skaf62 @t3)) % 34.24/34.78 (define @t27 () (tptp.skaf61 @t3)) % 34.24/34.78 (define @t28 () (tptp.skaf60 @t3)) % 34.24/34.78 (define @t29 () (tptp.skaf59 @t3)) % 34.24/34.78 (define @t30 () (tptp.skaf58 @t3)) % 34.24/34.78 (define @t31 () (tptp.skaf57 @t3)) % 34.24/34.78 (define @t32 () (tptp.skaf56 @t3)) % 34.24/34.78 (define @t33 () (tptp.skaf55 @t3)) % 34.24/34.78 (define @t34 () (tptp.skaf54 @t3)) % 34.24/34.78 (define @t35 () (tptp.skaf53 @t3)) % 34.24/34.78 (define @t36 () (tptp.skaf52 @t3)) % 34.24/34.78 (define @t37 () (tptp.skaf51 @t3)) % 34.24/34.78 (define @t38 () (tptp.skaf50 @t3)) % 34.24/34.78 (define @t39 () (tptp.skaf49 @t3)) % 34.24/34.78 (define @t40 () (tptp.skaf44 @t3)) % 34.24/34.78 (define @t41 () (@var "V" $$unsorted)) % 34.24/34.78 (define @t42 () (@list @t3 @t41)) % 34.24/34.78 (define @t43 () (tptp.skaf47 @t3 @t41)) % 34.24/34.78 (define @t44 () (tptp.skaf46 @t3 @t41)) % 34.24/34.78 (define @t45 () (tptp.skaf45 @t3 @t41)) % 34.24/34.78 (define @t46 () (tptp.skaf42 @t3 @t41)) % 34.24/34.78 (define @t47 () (not (tptp.ssItem @t3))) % 34.24/34.78 (define @t48 () (not (tptp.ssList @t3))) % 34.24/34.78 (define @t49 () (tptp.cons @t3 tptp.nil)) % 34.24/34.78 (define @t50 () (tptp.ssItem @t41)) % 34.24/34.78 (define @t51 () (tptp.duplicatefreeP @t3)) % 34.24/34.78 (define @t52 () (tptp.app @t3 tptp.nil)) % 34.24/34.78 (define @t53 () (or @t48 (= @t52 @t3))) % 34.24/34.78 (define @t54 () (forall @t5 @t53)) % 34.24/34.78 (define @t55 () (tptp.app tptp.nil @t3)) % 34.24/34.78 (define @t56 () (or @t48 (= @t55 @t3))) % 34.24/34.78 (define @t57 () (forall @t5 @t56)) % 34.24/34.78 (define @t58 () (= tptp.nil @t3)) % 34.24/34.78 (define @t59 () (tptp.tl @t3)) % 34.24/34.78 (define @t60 () (tptp.hd @t3)) % 34.24/34.78 (define @t61 () (tptp.segmentP tptp.nil @t3)) % 34.24/34.78 (define @t62 () (not @t58)) % 34.24/34.78 (define @t63 () (or @t62 @t48 @t61)) % 34.24/34.78 (define @t64 () (forall @t5 @t63)) % 34.24/34.78 (define @t65 () (tptp.rearsegP tptp.nil @t3)) % 34.24/34.78 (define @t66 () (tptp.frontsegP tptp.nil @t3)) % 34.24/34.78 (define @t67 () (tptp.app @t41 @t3)) % 34.24/34.78 (define @t68 () (not (tptp.ssList @t41))) % 34.24/34.78 (define @t69 () (tptp.cons @t3 @t41)) % 34.24/34.78 (define @t70 () (tptp.cyclefreeP @t3)) % 34.24/34.78 (define @t71 () (tptp.equalelemsP @t3)) % 34.24/34.78 (define @t72 () (tptp.strictorderedP @t3)) % 34.24/34.78 (define @t73 () (tptp.totalorderedP @t3)) % 34.24/34.78 (define @t74 () (tptp.strictorderP @t3)) % 34.24/34.78 (define @t75 () (tptp.totalorderP @t3)) % 34.24/34.78 (define @t76 () (= @t41 @t3)) % 34.24/34.78 (define @t77 () (tptp.neq @t41 @t3)) % 34.24/34.78 (define @t78 () (or @t48 @t68 @t77 @t76)) % 34.24/34.78 (define @t79 () (forall @t42 @t78)) % 34.24/34.78 (define @t80 () (tptp.cons @t40 tptp.nil)) % 34.24/34.78 (define @t81 () (not (tptp.singletonP @t3))) % 34.24/34.78 (define @t82 () (or @t81 @t48 (= @t80 @t3))) % 34.24/34.78 (define @t83 () (forall @t5 @t82)) % 34.24/34.78 (define @t84 () (not @t50)) % 34.24/34.78 (define @t85 () (tptp.leq @t3 @t41)) % 34.24/34.78 (define @t86 () (tptp.lt @t3 @t41)) % 34.24/34.78 (define @t87 () (not @t86)) % 34.24/34.78 (define @t88 () (tptp.lt @t41 @t3)) % 34.24/34.78 (define @t89 () (not (tptp.gt @t3 @t41))) % 34.24/34.78 (define @t90 () (tptp.gt @t41 @t3)) % 34.24/34.78 (define @t91 () (tptp.leq @t41 @t3)) % 34.24/34.78 (define @t92 () (not (tptp.geq @t3 @t41))) % 34.24/34.78 (define @t93 () (tptp.geq @t41 @t3)) % 34.24/34.78 (define @t94 () (not @t85)) % 34.24/34.78 (define @t95 () (= @t3 @t41)) % 34.24/34.78 (define @t96 () (not @t95)) % 34.24/34.78 (define @t97 () (tptp.cons @t41 @t3)) % 34.24/34.78 (define @t98 () (not (tptp.neq @t3 @t41))) % 34.24/34.78 (define @t99 () (tptp.app @t3 @t41)) % 34.24/34.78 (define @t100 () (= @t99 tptp.nil)) % 34.24/34.78 (define @t101 () (not @t100)) % 34.24/34.78 (define @t102 () (= tptp.nil @t41)) % 34.24/34.78 (define @t103 () (tptp.hd @t41)) % 34.24/34.78 (define @t104 () (tptp.strictorderedP @t41)) % 34.24/34.78 (define @t105 () (tptp.strictorderedP @t69)) % 34.24/34.78 (define @t106 () (not @t105)) % 34.24/34.78 (define @t107 () (tptp.totalorderedP @t41)) % 34.24/34.78 (define @t108 () (tptp.totalorderedP @t69)) % 34.24/34.78 (define @t109 () (not @t108)) % 34.24/34.78 (define @t110 () (not (tptp.segmentP @t41 @t3))) % 34.24/34.78 (define @t111 () (not (tptp.segmentP @t3 @t41))) % 34.24/34.78 (define @t112 () (or @t111 @t110 @t48 @t68 @t76)) % 34.24/34.78 (define @t113 () (forall @t42 @t112)) % 34.24/34.78 (define @t114 () (not (tptp.rearsegP @t3 @t41))) % 34.24/34.78 (define @t115 () (not (tptp.frontsegP @t3 @t41))) % 34.24/34.78 (define @t116 () (not @t91)) % 34.24/34.78 (define @t117 () (tptp.app @t41 @t45)) % 34.24/34.78 (define @t118 () (or @t115 @t68 @t48 (= @t117 @t3))) % 34.24/34.78 (define @t119 () (forall @t42 @t118)) % 34.24/34.78 (define @t120 () (tptp.tl @t41)) % 34.24/34.78 (define @t121 () (tptp.lt @t3 @t103)) % 34.24/34.78 (define @t122 () (tptp.leq @t3 @t103)) % 34.24/34.78 (define @t123 () (@var "W" $$unsorted)) % 34.24/34.78 (define @t124 () (tptp.app @t123 @t3)) % 34.24/34.78 (define @t125 () (not (tptp.ssList @t123))) % 34.24/34.78 (define @t126 () (@list @t3 @t41 @t123)) % 34.24/34.78 (define @t127 () (tptp.app @t3 @t123)) % 34.24/34.78 (define @t128 () (tptp.cons @t41 @t123)) % 34.24/34.78 (define @t129 () (tptp.cons @t123 @t3)) % 34.24/34.78 (define @t130 () (not (tptp.ssItem @t123))) % 34.24/34.78 (define @t131 () (not (tptp.memberP @t3 @t41))) % 34.24/34.78 (define @t132 () (not (= @t99 @t123))) % 34.24/34.78 (define @t133 () (tptp.lt @t3 @t123)) % 34.24/34.78 (define @t134 () (not (tptp.lt @t41 @t123))) % 34.24/34.78 (define @t135 () (tptp.app @t123 @t41)) % 34.24/34.78 (define @t136 () (= @t41 @t123)) % 34.24/34.78 (define @t137 () (forall @t126 (or (not (= @t99 @t127)) @t68 @t48 @t125 @t136))) % 34.24/34.78 (define @t138 () (= @t3 @t123)) % 34.24/34.78 (define @t139 () (tptp.memberP @t41 @t123)) % 34.24/34.78 (define @t140 () (tptp.app (tptp.app @t43 @t41) (tptp.skaf48 @t41 @t3))) % 34.24/34.78 (define @t141 () (or @t111 @t68 @t48 (= @t140 @t3))) % 34.24/34.78 (define @t142 () (forall @t42 @t141)) % 34.24/34.78 (define @t143 () (@var "X" $$unsorted)) % 34.24/34.78 (define @t144 () (not (tptp.ssList @t143))) % 34.24/34.78 (define @t145 () (tptp.cons @t123 @t143)) % 34.24/34.78 (define @t146 () (not (= @t69 @t145))) % 34.24/34.78 (define @t147 () (@list @t3 @t41 @t123 @t143)) % 34.24/34.78 (define @t148 () (not (tptp.frontsegP @t69 @t145))) % 34.24/34.78 (define @t149 () (tptp.app @t3 @t128)) % 34.24/34.78 (define @t150 () (not (tptp.ssItem @t143))) % 34.24/34.78 (define @t151 () (@var "Y" $$unsorted)) % 34.24/34.78 (define @t152 () (not (tptp.ssList @t151))) % 34.24/34.78 (define @t153 () (@list @t3 @t41 @t123 @t143 @t151)) % 34.24/34.78 (define @t154 () (tptp.lt @t41 @t143)) % 34.24/34.78 (define @t155 () (@var "Z" $$unsorted)) % 34.24/34.78 (define @t156 () (not (tptp.ssList @t155))) % 34.24/34.78 (define @t157 () (not (= (tptp.app @t149 (tptp.cons @t143 @t151)) @t155))) % 34.24/34.78 (define @t158 () (@list @t3 @t41 @t123 @t143 @t151 @t155)) % 34.24/34.78 (define @t159 () (tptp.leq @t41 @t143)) % 34.24/34.78 (define @t160 () (tptp.ssList tptp.sk3)) % 34.24/34.78 (define @t161 () (tptp.ssList tptp.sk4)) % 34.24/34.78 (define @t162 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 34.24/34.78 (define @t163 () (tptp.neq tptp.sk4 tptp.nil)) % 34.24/34.78 (define @t164 () (not @t163)) % 34.24/34.78 (define @t165 () (tptp.singletonP tptp.sk3)) % 34.24/34.78 (define @t166 () (tptp.strictorderedP tptp.sk1)) % 34.24/34.78 (define @t167 () (not @t166)) % 34.24/34.78 (define @t168 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 34.24/34.78 (define @t169 () (not @t168)) % 34.24/34.78 (define @t170 () (or @t169 @t167)) % 34.24/34.78 (define @t171 () (not @t162)) % 34.24/34.78 (define @t172 () (tptp.strictorderedP tptp.sk3)) % 34.24/34.78 (define @t173 () (not @t172)) % 34.24/34.78 (define @t174 () (@list false)) % 34.24/34.78 (define @t175 () (@list tptp.sk3)) % 34.24/34.78 (define @t176 () (= tptp.sk3 (tptp.app tptp.nil tptp.sk3))) % 34.24/34.78 (define @t177 () (not @t160)) % 34.24/34.78 (define @t178 () (or @t177 @t176)) % 34.24/34.78 (define @t179 () (@list false false)) % 34.24/34.78 (define @t180 () (@list tptp.sk4 tptp.sk4)) % 34.24/34.78 (define @t181 () (@list tptp.sk4)) % 34.24/34.78 (define @t182 () (tptp.frontsegP tptp.sk4 tptp.sk4)) % 34.24/34.78 (define @t183 () (not @t161)) % 34.24/34.78 (define @t184 () (or @t183 @t182)) % 34.24/34.78 (define @t185 () (tptp.skaf45 tptp.sk4 tptp.sk4)) % 34.24/34.78 (define @t186 () (tptp.app tptp.sk4 @t185)) % 34.24/34.78 (define @t187 () (= tptp.sk4 @t186)) % 34.24/34.78 (define @t188 () (not @t182)) % 34.24/34.78 (define @t189 () (or @t188 @t183 @t183 @t187)) % 34.24/34.78 (define @t190 () (@list false false false)) % 34.24/34.78 (define @t191 () (tptp.app @t185 tptp.sk3)) % 34.24/34.78 (define @t192 () (tptp.app tptp.sk4 @t191)) % 34.24/34.78 (define @t193 () (= (tptp.app @t186 tptp.sk3) @t192)) % 34.24/34.78 (define @t194 () (tptp.ssList @t185)) % 34.24/34.78 (define @t195 () (not @t194)) % 34.24/34.78 (define @t196 () (or @t177 @t195 @t183 @t193)) % 34.24/34.78 (define @t197 () (@list false false false false)) % 34.24/34.78 (define @t198 () (not @t2)) % 34.24/34.78 (define @t199 () (tptp.app tptp.sk4 tptp.nil)) % 34.24/34.78 (define @t200 () (not (= @t186 @t199))) % 34.24/34.78 (define @t201 () (or @t200 @t195 @t183 @t198 (= @t185 tptp.nil))) % 34.24/34.78 (define @t202 () (= tptp.nil @t185)) % 34.24/34.78 (define @t203 () (= @t199 @t186)) % 34.24/34.78 (define @t204 () (not @t203)) % 34.24/34.78 (define @t205 () (or @t204 @t195 @t183 @t198 @t202)) % 34.24/34.78 (define @t206 () (= tptp.sk4 @t199)) % 34.24/34.78 (define @t207 () (or @t183 @t206)) % 34.24/34.78 (define @t208 () (@list false false false false false)) % 34.24/34.78 (define @t209 () (tptp.skaf44 tptp.sk3)) % 34.24/34.78 (define @t210 () (tptp.cons @t209 tptp.nil)) % 34.24/34.78 (define @t211 () (tptp.strictorderedP @t210)) % 34.24/34.78 (define @t212 () (tptp.ssItem @t209)) % 34.24/34.78 (define @t213 () (not @t212)) % 34.24/34.78 (define @t214 () (or @t213 @t211)) % 34.24/34.78 (define @t215 () (not @t211)) % 34.24/34.78 (define @t216 () (= tptp.sk3 @t210)) % 34.24/34.78 (define @t217 () (not @t216)) % 34.24/34.78 (define @t218 () (not @t173)) % 34.24/34.78 (define @t219 () (not @t165)) % 34.24/34.78 (define @t220 () (or @t219 @t177 @t216)) % 34.24/34.78 (define @t221 () (= tptp.nil tptp.sk4)) % 34.24/34.78 (define @t222 () (or @t198 @t183 @t163 @t221)) % 34.24/34.78 (define @t223 () (tptp.segmentP tptp.sk3 tptp.sk4)) % 34.24/34.78 (define @t224 () (not @t223)) % 34.24/34.78 (define @t225 () (or @t171 @t224 @t183 @t177 (= tptp.sk4 tptp.sk3))) % 34.24/34.78 (define @t226 () (forall @t42 (or @t111 @t110 @t48 @t68 @t95))) % 34.24/34.78 (define @t227 () (= tptp.sk3 tptp.sk4)) % 34.24/34.78 (define @t228 () (or @t171 @t224 @t183 @t177 @t227)) % 34.24/34.78 (define @t229 () (tptp.segmentP tptp.nil tptp.nil)) % 34.24/34.78 (define @t230 () (not (= tptp.nil tptp.nil))) % 34.24/34.78 (define @t231 () (or @t230 @t198 @t229)) % 34.24/34.78 (define @t232 () (or @t62 @t62 @t48 @t61)) % 34.24/34.78 (define @t233 () (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))) % 34.24/34.78 (define @t234 () (= tptp.nil @t233)) % 34.24/34.78 (define @t235 () (not @t229)) % 34.24/34.78 (define @t236 () (or @t235 @t198 @t198 @t234)) % 34.24/34.78 (define @t237 () (tptp.frontsegP tptp.sk3 tptp.nil)) % 34.24/34.78 (define @t238 () (or @t177 @t237)) % 34.24/34.78 (define @t239 () (tptp.skaf45 tptp.sk3 tptp.nil)) % 34.24/34.78 (define @t240 () (= tptp.sk3 (tptp.app tptp.nil @t239))) % 34.24/34.78 (define @t241 () (not @t237)) % 34.24/34.78 (define @t242 () (or @t241 @t198 @t177 @t240)) % 34.24/34.78 (define @t243 () (tptp.segmentP tptp.sk3 tptp.nil)) % 34.24/34.78 (define @t244 () (or @t177 @t243)) % 34.24/34.78 (define @t245 () (tptp.app @t233 @t239)) % 34.24/34.78 (define @t246 () (and @t243 @t221 @t240 @t234)) % 34.24/34.78 (define @t247 () (not @t221)) % 34.24/34.78 (define @t248 () (not @t193)) % 34.24/34.78 (define @t249 () (not @t202)) % 34.24/34.78 (define @t250 () (not @t187)) % 34.24/34.78 (define @t251 () (not @t227)) % 34.24/34.78 (define @t252 () (not @t176)) % 34.24/34.78 (define @t253 () (not @t1)) % 34.24/34.78 (define @t254 () (tptp.app tptp.sk4 tptp.sk3)) % 34.24/34.78 (define @t255 () (and @t1 @t221 @t227 @t176 @t202 @t193 @t187 @t173)) % 34.24/34.78 (assume @p1 (tptp.equalelemsP tptp.nil)) % 34.24/34.78 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 34.24/34.78 (assume @p3 @t1) % 34.24/34.78 (assume @p4 (tptp.totalorderedP tptp.nil)) % 34.24/34.78 (assume @p5 (tptp.strictorderP tptp.nil)) % 34.24/34.78 (assume @p6 (tptp.totalorderP tptp.nil)) % 34.24/34.78 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 34.24/34.78 (assume @p8 @t2) % 34.24/34.78 (assume @p9 (tptp.ssItem tptp.skac3)) % 34.24/34.78 (assume @p10 (tptp.ssItem tptp.skac2)) % 34.24/34.78 (assume @p11 (not (tptp.singletonP tptp.nil))) % 34.24/34.78 (assume @p12 (forall @t5 (tptp.ssItem @t4))) % 34.24/34.78 (assume @p13 (forall @t5 (tptp.ssList @t6))) % 34.24/34.78 (assume @p14 (forall @t5 (tptp.ssList @t7))) % 34.24/34.78 (assume @p15 (forall @t5 (tptp.ssList @t8))) % 34.24/34.78 (assume @p16 (forall @t5 (tptp.ssItem @t9))) % 34.24/34.78 (assume @p17 (forall @t5 (tptp.ssItem @t10))) % 34.24/34.78 (assume @p18 (forall @t5 (tptp.ssList @t11))) % 34.24/34.78 (assume @p19 (forall @t5 (tptp.ssList @t12))) % 34.24/34.78 (assume @p20 (forall @t5 (tptp.ssList @t13))) % 34.24/34.78 (assume @p21 (forall @t5 (tptp.ssItem @t14))) % 34.24/34.78 (assume @p22 (forall @t5 (tptp.ssList @t15))) % 34.24/34.78 (assume @p23 (forall @t5 (tptp.ssList @t16))) % 34.24/34.78 (assume @p24 (forall @t5 (tptp.ssList @t17))) % 34.24/34.78 (assume @p25 (forall @t5 (tptp.ssItem @t18))) % 34.24/34.78 (assume @p26 (forall @t5 (tptp.ssItem @t19))) % 34.24/34.78 (assume @p27 (forall @t5 (tptp.ssList @t20))) % 34.24/34.78 (assume @p28 (forall @t5 (tptp.ssList @t21))) % 34.24/34.78 (assume @p29 (forall @t5 (tptp.ssList @t22))) % 34.24/34.78 (assume @p30 (forall @t5 (tptp.ssItem @t23))) % 34.24/34.78 (assume @p31 (forall @t5 (tptp.ssItem @t24))) % 34.24/34.78 (assume @p32 (forall @t5 (tptp.ssList @t25))) % 34.24/34.78 (assume @p33 (forall @t5 (tptp.ssList @t26))) % 34.24/34.78 (assume @p34 (forall @t5 (tptp.ssList @t27))) % 34.24/34.78 (assume @p35 (forall @t5 (tptp.ssItem @t28))) % 34.24/34.78 (assume @p36 (forall @t5 (tptp.ssItem @t29))) % 34.24/34.78 (assume @p37 (forall @t5 (tptp.ssList @t30))) % 34.24/34.78 (assume @p38 (forall @t5 (tptp.ssList @t31))) % 34.24/34.78 (assume @p39 (forall @t5 (tptp.ssList @t32))) % 34.24/34.78 (assume @p40 (forall @t5 (tptp.ssItem @t33))) % 34.24/34.78 (assume @p41 (forall @t5 (tptp.ssItem @t34))) % 34.24/34.78 (assume @p42 (forall @t5 (tptp.ssList @t35))) % 34.24/34.78 (assume @p43 (forall @t5 (tptp.ssList @t36))) % 34.24/34.78 (assume @p44 (forall @t5 (tptp.ssList @t37))) % 34.24/34.78 (assume @p45 (forall @t5 (tptp.ssItem @t38))) % 34.24/34.78 (assume @p46 (forall @t5 (tptp.ssItem @t39))) % 34.24/34.78 (assume @p47 (forall @t5 (tptp.ssItem @t40))) % 34.24/34.78 (assume @p48 (forall @t42 (tptp.ssList (tptp.skaf48 @t3 @t41)))) % 34.24/34.78 (assume @p49 (forall @t42 (tptp.ssList @t43))) % 34.24/34.78 (assume @p50 (forall @t42 (tptp.ssList @t44))) % 34.24/34.78 (assume @p51 (forall @t42 (tptp.ssList @t45))) % 34.24/34.78 (assume @p52 (forall @t42 (tptp.ssList (tptp.skaf43 @t3 @t41)))) % 34.24/34.78 (assume @p53 (forall @t42 (tptp.ssList @t46))) % 34.24/34.78 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 34.24/34.78 (assume @p55 (forall @t5 (or @t47 (tptp.geq @t3 @t3)))) % 34.24/34.78 (assume @p56 (forall @t5 (or @t48 (tptp.segmentP @t3 tptp.nil)))) % 34.24/34.78 (assume @p57 (forall @t5 (or @t48 (tptp.segmentP @t3 @t3)))) % 34.24/34.78 (assume @p58 (forall @t5 (or @t48 (tptp.rearsegP @t3 tptp.nil)))) % 34.24/34.78 (assume @p59 (forall @t5 (or @t48 (tptp.rearsegP @t3 @t3)))) % 34.24/34.78 (assume @p60 (forall @t5 (or @t48 (tptp.frontsegP @t3 tptp.nil)))) % 34.24/34.78 (assume @p61 (forall @t5 (or @t48 (tptp.frontsegP @t3 @t3)))) % 34.24/34.78 (assume @p62 (forall @t5 (or @t47 (tptp.leq @t3 @t3)))) % 34.24/34.78 (assume @p63 (forall @t5 (or (not (tptp.lt @t3 @t3)) @t47))) % 34.24/34.78 (assume @p64 (forall @t5 (or @t47 (tptp.equalelemsP @t49)))) % 34.24/34.78 (assume @p65 (forall @t5 (or @t47 (tptp.duplicatefreeP @t49)))) % 34.24/34.78 (assume @p66 (forall @t5 (or @t47 (tptp.strictorderedP @t49)))) % 34.24/34.78 (assume @p67 (forall @t5 (or @t47 (tptp.totalorderedP @t49)))) % 34.24/34.78 (assume @p68 (forall @t5 (or @t47 (tptp.strictorderP @t49)))) % 34.24/34.78 (assume @p69 (forall @t5 (or @t47 (tptp.totalorderP @t49)))) % 34.24/34.78 (assume @p70 (forall @t5 (or @t47 (tptp.cyclefreeP @t49)))) % 34.24/34.78 (assume @p71 (forall @t5 (or (not (tptp.memberP tptp.nil @t3)) @t47))) % 34.24/34.78 (assume @p72 (forall @t42 (or @t48 @t51 @t50))) % 34.24/34.78 (assume @p73 @t54) % 34.24/34.78 (assume @p74 @t57) % 34.24/34.78 (assume @p75 (forall @t5 (or @t48 (tptp.ssList @t59) @t58))) % 34.24/34.78 (assume @p76 (forall @t5 (or @t48 (tptp.ssItem @t60) @t58))) % 34.24/34.78 (assume @p77 @t64) % 34.24/34.78 (assume @p78 (forall @t5 (or (not @t61) @t48 @t58))) % 34.24/34.78 (assume @p79 (forall @t5 (or @t62 @t48 @t65))) % 34.24/34.78 (assume @p80 (forall @t5 (or (not @t65) @t48 @t58))) % 34.24/34.78 (assume @p81 (forall @t5 (or @t62 @t48 @t66))) % 34.24/34.78 (assume @p82 (forall @t5 (or (not @t66) @t48 @t58))) % 34.24/34.78 (assume @p83 (forall @t42 (or @t48 @t68 (tptp.ssList @t67)))) % 34.24/34.78 (assume @p84 (forall @t42 (or @t47 @t68 (tptp.ssList @t69)))) % 34.24/34.78 (assume @p85 (forall @t5 (or @t48 @t70 (tptp.leq @t38 @t39)))) % 34.24/34.78 (assume @p86 (forall @t5 (or @t48 @t70 (tptp.leq @t39 @t38)))) % 34.24/34.78 (assume @p87 (forall @t5 (or (not (= @t9 @t10)) @t48 @t71))) % 34.24/34.78 (assume @p88 (forall @t5 (or (not (tptp.lt @t19 @t18)) @t48 @t72))) % 34.24/34.78 (assume @p89 (forall @t5 (or (not (tptp.leq @t24 @t23)) @t48 @t73))) % 34.24/34.78 (assume @p90 (forall @t5 (or (not (tptp.lt @t28 @t29)) @t48 @t74))) % 34.24/34.78 (assume @p91 (forall @t5 (or (not (tptp.lt @t29 @t28)) @t48 @t74))) % 34.24/34.78 (assume @p92 (forall @t5 (or (not (tptp.leq @t33 @t34)) @t48 @t75))) % 34.24/34.78 (assume @p93 (forall @t5 (or (not (tptp.leq @t34 @t33)) @t48 @t75))) % 34.24/34.78 (assume @p94 (forall @t42 (or @t47 @t68 (= (tptp.tl @t69) @t41)))) % 34.24/34.78 (assume @p95 (forall @t42 (or @t47 @t68 (= (tptp.hd @t69) @t3)))) % 34.24/34.78 (assume @p96 (forall @t42 (or (not (= @t69 tptp.nil)) @t47 @t68))) % 34.24/34.78 (assume @p97 (forall @t42 (or (not (= @t69 @t41)) @t47 @t68))) % 34.24/34.78 (assume @p98 @t79) % 34.24/34.78 (assume @p99 @t83) % 34.24/34.78 (assume @p100 (forall @t42 (or @t47 @t84 @t77 @t76))) % 34.24/34.78 (assume @p101 (forall @t42 (or @t87 @t84 @t47 @t85))) % 34.24/34.78 (assume @p102 (forall @t5 (or @t48 (= (tptp.cons @t60 @t59) @t3) @t58))) % 34.24/34.78 (assume @p103 (forall @t42 (or @t89 @t84 @t47 @t88))) % 34.24/34.78 (assume @p104 (forall @t42 (or @t87 @t47 @t84 @t90))) % 34.24/34.78 (assume @p105 (forall @t42 (or @t92 @t84 @t47 @t91))) % 34.24/34.78 (assume @p106 (forall @t42 (or @t94 @t47 @t84 @t93))) % 34.24/34.78 (assume @p107 (forall @t5 (or @t48 (= (tptp.cons @t4 @t6) @t3) @t58))) % 34.24/34.78 (assume @p108 (forall @t42 (or @t89 (not @t90) @t47 @t84))) % 34.24/34.78 (assume @p109 (forall @t42 (or @t96 @t87 @t84 @t47))) % 34.24/34.78 (assume @p110 (forall @t42 (or @t62 @t48 @t84 (tptp.strictorderedP @t97)))) % 34.24/34.78 (assume @p111 (forall @t42 (or @t62 @t48 @t84 (tptp.totalorderedP @t97)))) % 34.24/34.78 (assume @p112 (forall @t42 (or @t87 (not @t88) @t47 @t84))) % 34.24/34.78 (assume @p113 (forall @t42 (or @t96 @t98 @t68 @t48))) % 34.24/34.78 (assume @p114 (forall @t42 (or (not (= @t49 @t41)) @t47 @t68 (tptp.singletonP @t41)))) % 34.24/34.78 (assume @p115 (forall @t42 (or @t96 @t98 @t84 @t47))) % 34.24/34.78 (assume @p116 (forall @t42 (or @t101 @t68 @t48 @t58))) % 34.24/34.78 (assume @p117 (forall @t42 (or @t101 @t68 @t48 @t102))) % 34.24/34.78 (assume @p118 (forall @t42 (or @t47 @t68 (= (tptp.app @t49 @t41) @t69)))) % 34.24/34.78 (assume @p119 (forall @t42 (or @t94 @t84 @t47 @t86 @t95))) % 34.24/34.78 (assume @p120 (forall @t42 (or @t48 @t68 @t102 (= (tptp.hd @t67) @t103)))) % 34.24/34.78 (assume @p121 (forall @t42 (or @t106 @t68 @t47 @t104 @t102))) % 34.24/34.78 (assume @p122 (forall @t42 (or @t109 @t68 @t47 @t107 @t102))) % 34.24/34.78 (assume @p123 (forall @t42 (or @t92 (not @t93) @t47 @t84 @t76))) % 34.24/34.78 (assume @p124 @t113) % 34.24/34.78 (assume @p125 (forall @t42 (or @t114 (not (tptp.rearsegP @t41 @t3)) @t48 @t68 @t76))) % 34.24/34.78 (assume @p126 (forall @t42 (or @t115 (not (tptp.frontsegP @t41 @t3)) @t48 @t68 @t76))) % 34.24/34.78 (assume @p127 (forall @t42 (or @t94 @t116 @t47 @t84 @t76))) % 34.24/34.78 (assume @p128 (forall @t42 (or @t114 @t68 @t48 (= (tptp.app @t44 @t41) @t3)))) % 34.24/34.78 (assume @p129 @t119) % 34.24/34.78 (assume @p130 (forall @t42 (or @t48 @t68 @t102 (= (tptp.tl @t67) (tptp.app @t120 @t3))))) % 34.24/34.78 (assume @p131 (forall @t42 (or @t106 @t68 @t47 @t121 @t102))) % 34.24/34.78 (assume @p132 (forall @t42 (or @t109 @t68 @t47 @t122 @t102))) % 34.24/34.78 (assume @p133 (forall @t126 (or @t114 @t125 @t68 @t48 (tptp.rearsegP @t124 @t41)))) % 34.24/34.78 (assume @p134 (forall @t126 (or @t115 @t125 @t68 @t48 (tptp.frontsegP @t127 @t41)))) % 34.24/34.78 (assume @p135 (forall @t126 (or @t96 @t125 @t84 @t47 (tptp.memberP @t128 @t3)))) % 34.24/34.78 (assume @p136 (forall @t126 (or @t131 @t48 @t130 @t84 (tptp.memberP @t129 @t41)))) % 34.24/34.78 (assume @p137 (forall @t126 (or @t131 @t125 @t48 @t84 (tptp.memberP @t127 @t41)))) % 34.24/34.78 (assume @p138 (forall @t126 (or @t131 @t48 @t125 @t84 (tptp.memberP @t124 @t41)))) % 34.24/34.78 (assume @p139 (forall @t5 (or @t48 @t71 (= (tptp.app @t8 (tptp.cons @t10 (tptp.cons @t9 @t7))) @t3)))) % 34.24/34.78 (assume @p140 (forall @t126 (or @t132 @t48 @t68 @t125 (tptp.rearsegP @t123 @t41)))) % 34.24/34.78 (assume @p141 (forall @t126 (or @t132 @t68 @t48 @t125 (tptp.frontsegP @t123 @t3)))) % 34.24/34.78 (assume @p142 (forall @t42 (or @t62 (not @t102) @t68 @t48 @t100))) % 34.24/34.78 (assume @p143 (forall @t126 (or @t89 (not (tptp.gt @t41 @t123)) @t130 @t84 @t47 (tptp.gt @t3 @t123)))) % 34.24/34.78 (assume @p144 (forall @t126 (or @t94 @t134 @t130 @t84 @t47 @t133))) % 34.24/34.78 (assume @p145 (forall @t126 (or @t92 (not (tptp.geq @t41 @t123)) @t130 @t84 @t47 (tptp.geq @t3 @t123)))) % 34.24/34.78 (assume @p146 (forall @t126 (or @t48 @t68 @t125 (= (tptp.app @t135 @t3) (tptp.app @t123 @t67))))) % 34.24/34.78 (assume @p147 @t137) % 34.24/34.78 (assume @p148 (forall @t126 (or (not (= @t99 @t135)) @t48 @t68 @t125 @t138))) % 34.24/34.78 (assume @p149 (forall @t126 (or @t111 (not (tptp.segmentP @t41 @t123)) @t125 @t68 @t48 (tptp.segmentP @t3 @t123)))) % 34.24/34.78 (assume @p150 (forall @t126 (or @t114 (not (tptp.rearsegP @t41 @t123)) @t125 @t68 @t48 (tptp.rearsegP @t3 @t123)))) % 34.24/34.78 (assume @p151 (forall @t126 (or @t115 (not (tptp.frontsegP @t41 @t123)) @t125 @t68 @t48 (tptp.frontsegP @t3 @t123)))) % 34.24/34.78 (assume @p152 (forall @t126 (or @t87 @t134 @t130 @t84 @t47 @t133))) % 34.24/34.78 (assume @p153 (forall @t126 (or @t94 (not (tptp.leq @t41 @t123)) @t130 @t84 @t47 (tptp.leq @t3 @t123)))) % 34.24/34.78 (assume @p154 (forall @t126 (or @t47 @t68 @t125 (= (tptp.cons @t3 (tptp.app @t41 @t123)) (tptp.app @t69 @t123))))) % 34.24/34.78 (assume @p155 (forall @t126 (or (not (tptp.memberP @t99 @t123)) @t68 @t48 @t130 @t139 (tptp.memberP @t3 @t123)))) % 34.24/34.78 (assume @p156 (forall @t42 (or (not @t122) (not @t107) @t68 @t47 @t108 @t102))) % 34.24/34.78 (assume @p157 (forall @t42 (or (not @t121) (not @t104) @t68 @t47 @t105 @t102))) % 34.24/34.78 (assume @p158 (forall @t126 (or (not (tptp.memberP @t69 @t123)) @t68 @t47 @t130 @t139 (= @t123 @t3)))) % 34.24/34.78 (assume @p159 (forall @t5 (or @t48 @t51 (= (tptp.app (tptp.app @t13 (tptp.cons @t14 @t12)) (tptp.cons @t14 @t11)) @t3)))) % 34.24/34.78 (assume @p160 (forall @t5 (or @t48 @t72 (= (tptp.app (tptp.app @t17 (tptp.cons @t19 @t16)) (tptp.cons @t18 @t15)) @t3)))) % 34.24/34.78 (assume @p161 (forall @t5 (or @t48 @t73 (= (tptp.app (tptp.app @t22 (tptp.cons @t24 @t21)) (tptp.cons @t23 @t20)) @t3)))) % 34.24/34.78 (assume @p162 (forall @t5 (or @t48 @t74 (= (tptp.app (tptp.app @t27 (tptp.cons @t29 @t26)) (tptp.cons @t28 @t25)) @t3)))) % 34.24/34.78 (assume @p163 (forall @t5 (or @t48 @t75 (= (tptp.app (tptp.app @t32 (tptp.cons @t34 @t31)) (tptp.cons @t33 @t30)) @t3)))) % 34.24/34.78 (assume @p164 (forall @t5 (or @t48 @t70 (= (tptp.app (tptp.app @t37 (tptp.cons @t39 @t36)) (tptp.cons @t38 @t35)) @t3)))) % 34.24/34.78 (assume @p165 @t142) % 34.24/34.78 (assume @p166 (forall @t42 (or @t131 @t84 @t48 (= (tptp.app @t46 (tptp.cons @t41 (tptp.skaf43 @t41 @t3))) @t3)))) % 34.24/34.78 (assume @p167 (forall @t147 (or @t146 @t130 @t47 @t144 @t68 @t138))) % 34.24/34.78 (assume @p168 (forall @t147 (or @t146 @t130 @t47 @t144 @t68 (= @t143 @t41)))) % 34.24/34.78 (assume @p169 (forall @t147 (or @t111 @t125 @t144 @t68 @t48 (tptp.segmentP (tptp.app (tptp.app @t143 @t3) @t123) @t41)))) % 34.24/34.78 (assume @p170 (forall @t147 (or (not (= (tptp.app @t99 @t123) @t143)) @t125 @t48 @t68 @t144 (tptp.segmentP @t143 @t41)))) % 34.24/34.78 (assume @p171 (forall @t147 (or @t148 @t144 @t68 @t130 @t47 (tptp.frontsegP @t41 @t143)))) % 34.24/34.78 (assume @p172 (forall @t147 (or (not (= @t149 @t143)) @t125 @t48 @t84 @t144 (tptp.memberP @t143 @t41)))) % 34.24/34.78 (assume @p173 (forall @t147 (or @t148 @t144 @t68 @t130 @t47 @t138))) % 34.24/34.78 (assume @p174 (forall @t42 (or (not (= @t59 @t120)) (not (= @t60 @t103)) @t48 @t68 @t102 @t95 @t58))) % 34.24/34.78 (assume @p175 (forall @t147 (or @t115 (not (= @t123 @t143)) @t68 @t48 @t150 @t130 (tptp.frontsegP @t129 (tptp.cons @t143 @t41))))) % 34.24/34.78 (assume @p176 (forall @t153 (or (not (= (tptp.app @t149 (tptp.cons @t41 @t143)) @t151)) @t144 @t125 @t48 @t84 (not (tptp.duplicatefreeP @t151)) @t152))) % 34.24/34.78 (assume @p177 (forall @t153 (or (not (= (tptp.app @t3 (tptp.cons @t41 @t145)) @t151)) @t144 @t48 @t130 @t84 (not (tptp.equalelemsP @t151)) @t152 @t136))) % 34.24/34.78 (assume @p178 (forall @t158 (or @t157 @t152 @t125 @t48 @t150 @t84 (not (tptp.strictorderedP @t155)) @t156 @t154))) % 34.24/34.78 (assume @p179 (forall @t158 (or @t157 @t152 @t125 @t48 @t150 @t84 (not (tptp.totalorderedP @t155)) @t156 @t159))) % 34.24/34.78 (assume @p180 (forall @t158 (or @t157 @t152 @t125 @t48 @t150 @t84 (not (tptp.strictorderP @t155)) @t156 @t154 (tptp.lt @t143 @t41)))) % 34.24/34.78 (assume @p181 (forall @t158 (or @t157 @t152 @t125 @t48 @t150 @t84 (not (tptp.totalorderP @t155)) @t156 @t159 (tptp.leq @t143 @t41)))) % 34.24/34.78 (assume @p182 (forall @t158 (or @t94 @t116 (not (= (tptp.app (tptp.app @t123 (tptp.cons @t3 @t143)) (tptp.cons @t41 @t151)) @t155)) @t152 @t144 @t125 @t84 @t47 (not (tptp.cyclefreeP @t155)) @t156))) % 34.24/34.78 (assume @p183 (tptp.ssList tptp.sk1)) % 34.24/34.78 (assume @p184 (tptp.ssList tptp.sk2)) % 34.24/34.78 (assume @p185 @t160) % 34.24/34.78 (assume @p186 @t161) % 34.24/34.78 (assume @p187 (= tptp.sk2 tptp.sk4)) % 34.24/34.78 (assume @p188 (= tptp.sk1 tptp.sk3)) % 34.24/34.78 (assume @p189 @t162) % 34.24/34.78 (assume @p190 (or @t165 @t164)) % 34.24/34.78 (assume @p191 @t170) % 34.24/34.78 (step @p192 :rule cong :premises (@p188) :args (@t166)) % 34.24/34.78 (step @p193 :rule cong :premises (@p192) :args (@t167)) % 34.24/34.78 (step @p194 :rule cong :premises (@p187 @p188) :args (@t168)) % 34.24/34.78 (step @p195 :rule cong :premises (@p194) :args (@t169)) % 34.24/34.78 (step @p196 :rule nary_cong :premises (@p195 @p193) :args (@t170)) % 34.24/34.78 (step @p197 :rule eq_resolve :premises (@p191 @p196)) % 34.24/34.78 (step @p198 :rule reordering :premises (@p197) :args ((or @t173 @t171))) % 34.24/34.78 (step @p199 :rule chain_m_resolution :premises (@p198 @p189) :args (@t173 @t174 (@list @t162))) % 34.24/34.78 (step @p200 :rule eq-symm :args (@t55 @t3)) % 34.24/34.78 (step @p201 :rule refl :args (@t48)) % 34.24/34.78 (step @p202 :rule nary_cong :premises (@p201 @p200) :args (@t56)) % 34.24/34.78 (step @p203 :rule cong :premises (@p202) :args (@t57)) % 34.24/34.78 (step @p204 :rule eq_resolve :premises (@p74 @p203)) % 34.24/34.78 (step @p205 :rule instantiate :premises (@p204) :args (@t175)) % 34.24/34.78 (step @p206 :rule cnf_or_pos :args (@t178)) % 34.24/34.78 (step @p207 :rule reordering :premises (@p206) :args ((or @t177 @t176 (not @t178)))) % 34.24/34.78 (step @p208 :rule chain_m_resolution :premises (@p207 @p185 @p205) :args (@t176 @t179 (@list @t160 @t178))) % 34.24/34.78 (step @p209 :rule eq-symm :args (@t117 @t3)) % 34.24/34.78 (step @p210 :rule refl :args (@t68)) % 34.24/34.78 (step @p211 :rule refl :args (@t115)) % 34.24/34.78 (step @p212 :rule nary_cong :premises (@p211 @p210 @p201 @p209) :args (@t118)) % 34.24/34.78 (step @p213 :rule cong :premises (@p212) :args (@t119)) % 34.24/34.78 (step @p214 :rule eq_resolve :premises (@p129 @p213)) % 34.24/34.78 (step @p215 :rule instantiate :premises (@p214) :args (@t180)) % 34.24/34.78 (step @p216 :rule instantiate :premises (@p61) :args (@t181)) % 34.24/34.78 (step @p217 :rule cnf_or_pos :args (@t184)) % 34.24/34.78 (step @p218 :rule reordering :premises (@p217) :args ((or @t183 @t182 (not @t184)))) % 34.24/34.78 (step @p219 :rule chain_m_resolution :premises (@p218 @p186 @p216) :args (@t182 @t179 (@list @t161 @t184))) % 34.24/34.78 (step @p220 :rule cnf_or_pos :args (@t189)) % 34.24/34.78 (step @p221 :rule factoring :premises (@p220)) % 34.24/34.78 (step @p222 :rule reordering :premises (@p221) :args ((or @t183 @t188 @t187 (not @t189)))) % 34.24/34.78 (step @p223 :rule chain_m_resolution :premises (@p222 @p186 @p219 @p215) :args (@t187 @t190 (@list @t161 @t182 @t189))) % 34.24/34.78 (step @p224 :rule instantiate :premises (@p146) :args ((@list tptp.sk3 @t185 tptp.sk4))) % 34.24/34.78 (step @p225 :rule instantiate :premises (@p51) :args (@t180)) % 34.24/34.78 (step @p226 :rule cnf_or_pos :args (@t196)) % 34.24/34.78 (step @p227 :rule reordering :premises (@p226) :args ((or @t177 @t183 @t195 @t193 (not @t196)))) % 34.24/34.78 (step @p228 :rule chain_m_resolution :premises (@p227 @p185 @p186 @p225 @p224) :args (@t193 @t197 (@list @t160 @t161 @t194 @t196))) % 34.24/34.78 (step @p229 :rule eq-symm :args (@t185 tptp.nil)) % 34.24/34.78 (step @p230 :rule refl :args (@t198)) % 34.24/34.78 (step @p231 :rule refl :args (@t183)) % 34.24/34.78 (step @p232 :rule refl :args (@t195)) % 34.24/34.78 (step @p233 :rule eq-symm :args (@t186 @t199)) % 34.24/34.78 (step @p234 :rule cong :premises (@p233) :args (@t200)) % 34.24/34.78 (step @p235 :rule nary_cong :premises (@p234 @p232 @p231 @p230 @p229) :args (@t201)) % 34.24/34.78 (step @p236 :rule refl :args (@t137)) % 34.24/34.78 (step @p237 :rule cong :premises (@p236 @p235) :args ((=> @t137 @t201))) % 34.24/34.78 (assume-push @p476 @t137) % 34.24/34.78 (step @p239 :rule instantiate :premises (@p147) :args ((@list tptp.sk4 @t185 tptp.nil))) % 34.24/34.78 (step-pop @p477 :rule scope :premises (@p239)) % 34.24/34.78 (step @p240 :rule process_scope :premises (@p477) :args (@t201)) % 34.24/34.78 (step @p242 :rule eq_resolve :premises (@p240 @p237)) % 34.24/34.78 (step @p243 :rule implies_elim :premises (@p242)) % 34.24/34.78 (step @p244 :rule chain_m_resolution :premises (@p243 @p147) :args (@t205 @t174 (@list @t137))) % 34.24/34.78 (step @p245 :rule eq-symm :args (@t52 @t3)) % 34.24/34.78 (step @p246 :rule nary_cong :premises (@p201 @p245) :args (@t53)) % 34.24/34.78 (step @p247 :rule cong :premises (@p246) :args (@t54)) % 34.24/34.78 (step @p248 :rule eq_resolve :premises (@p73 @p247)) % 34.24/34.78 (step @p249 :rule instantiate :premises (@p248) :args (@t181)) % 34.24/34.78 (step @p250 :rule cnf_or_pos :args (@t207)) % 34.24/34.78 (step @p251 :rule reordering :premises (@p250) :args ((or @t183 @t206 (not @t207)))) % 34.24/34.78 (step @p252 :rule chain_m_resolution :premises (@p251 @p186 @p249) :args (@t206 @t179 (@list @t161 @t207))) % 34.24/34.78 (step @p253 :rule symm :premises (@p252)) % 34.24/34.78 (step @p254 :rule trans :premises (@p253 @p223)) % 34.24/34.78 (step @p255 :rule cnf_or_pos :args (@t205)) % 34.24/34.78 (step @p256 :rule reordering :premises (@p255) :args ((or @t198 @t183 @t195 @t204 @t202 (not @t205)))) % 34.24/34.78 (step @p257 :rule chain_m_resolution :premises (@p256 @p8 @p186 @p225 @p254 @p244) :args (@t202 @t208 (@list @t2 @t161 @t194 @t203 @t205))) % 34.24/34.78 (step @p258 :rule eq-symm :args (@t41 @t3)) % 34.24/34.78 (step @p259 :rule refl :args (@t77)) % 34.24/34.78 (step @p260 :rule nary_cong :premises (@p201 @p210 @p259 @p258) :args (@t78)) % 34.24/34.78 (step @p261 :rule cong :premises (@p260) :args (@t79)) % 34.24/34.78 (step @p262 :rule eq_resolve :premises (@p98 @p261)) % 34.24/34.78 (step @p263 :rule instantiate :premises (@p262) :args ((@list tptp.nil tptp.sk4))) % 34.24/34.78 (step @p264 :rule eq-symm :args (@t80 @t3)) % 34.24/34.78 (step @p265 :rule refl :args (@t81)) % 34.24/34.78 (step @p266 :rule nary_cong :premises (@p265 @p201 @p264) :args (@t82)) % 34.24/34.78 (step @p267 :rule cong :premises (@p266) :args (@t83)) % 34.24/34.78 (step @p268 :rule eq_resolve :premises (@p99 @p267)) % 34.24/34.78 (step @p269 :rule instantiate :premises (@p268) :args (@t175)) % 34.24/34.78 (step @p270 :rule instantiate :premises (@p66) :args ((@list @t209))) % 34.24/34.78 (step @p271 :rule instantiate :premises (@p47) :args (@t175)) % 34.24/34.78 (step @p272 :rule cnf_or_pos :args (@t214)) % 34.24/34.78 (step @p273 :rule reordering :premises (@p272) :args ((or @t213 @t211 (not @t214)))) % 34.24/34.78 (step @p274 :rule chain_m_resolution :premises (@p273 @p271 @p270) :args (@t211 @t179 (@list @t212 @t214))) % 34.24/34.78 (step @p275 :rule refl :args (@t215)) % 34.24/34.78 (step @p276 :rule refl :args (@t217)) % 34.24/34.78 (step @p277 :rule bool-double-not-elim :args (@t172)) % 34.24/34.78 (step @p278 :rule nary_cong :premises (@p277 @p276 @p275) :args ((or @t218 @t217 @t215))) % 34.24/34.78 (assume-push @p478 @t173) % 34.24/34.78 (assume-push @p479 @t216) % 34.24/34.78 (assume-push @p480 @t211) % 34.24/34.78 (step @p282 :rule evaluate :args ((= true false))) % 34.24/34.78 (step @p283 :rule false_intro :premises (@p199)) % 34.24/34.78 (step @p284 :rule symm :premises (@p479)) % 34.24/34.78 (step @p285 :rule cong :premises (@p284) :args (@t211)) % 34.24/34.78 (step @p286 :rule true_intro :premises (@p274)) % 34.24/34.78 (step @p287 :rule symm :premises (@p286)) % 34.24/34.78 (step @p288 :rule trans :premises (@p287 @p285 @p283)) % 34.24/34.78 (step @p289 false :rule eq_resolve :premises (@p288 @p282)) % 34.24/34.78 (step-pop @p481 :rule scope :premises (@p289)) % 34.24/34.78 (step-pop @p482 :rule scope :premises (@p481)) % 34.24/34.78 (step-pop @p483 :rule scope :premises (@p482)) % 34.24/34.78 (step @p290 :rule process_scope :premises (@p483) :args (false)) % 34.24/34.78 (step @p294 :rule not_and :premises (@p290)) % 34.24/34.78 (step @p295 :rule eq_resolve :premises (@p294 @p278)) % 34.24/34.78 (step @p296 :rule chain_m_resolution :premises (@p295 @p199 @p274) :args (@t217 (@list true false) (@list @t172 @t211))) % 34.24/34.78 (step @p297 :rule cnf_or_pos :args (@t220)) % 34.24/34.78 (step @p298 :rule reordering :premises (@p297) :args ((or @t177 @t219 @t216 (not @t220)))) % 34.24/34.78 (step @p299 :rule chain_m_resolution :premises (@p298 @p185 @p296 @p269) :args (@t219 (@list false true false) (@list @t160 @t216 @t220))) % 34.24/34.78 (step @p300 :rule chain_m_resolution :premises (@p190 @p299) :args (@t164 (@list true) (@list @t165))) % 34.24/34.78 (step @p301 :rule cnf_or_pos :args (@t222)) % 34.24/34.78 (step @p302 :rule reordering :premises (@p301) :args ((or @t163 @t198 @t183 @t221 (not @t222)))) % 34.24/34.78 (step @p303 :rule chain_m_resolution :premises (@p302 @p300 @p8 @p186 @p263) :args (@t221 (@list true false false false) (@list @t163 @t2 @t161 @t222))) % 34.24/34.78 (step @p304 :rule refl :args (@t110)) % 34.24/34.78 (step @p305 :rule refl :args (@t111)) % 34.24/34.78 (step @p306 :rule nary_cong :premises (@p305 @p304 @p201 @p210 @p258) :args (@t112)) % 34.24/34.78 (step @p307 :rule cong :premises (@p306) :args (@t113)) % 34.24/34.78 (step @p308 :rule eq_resolve :premises (@p124 @p307)) % 34.24/34.78 (step @p309 :rule eq-symm :args (tptp.sk4 tptp.sk3)) % 34.24/34.78 (step @p310 :rule refl :args (@t177)) % 34.24/34.78 (step @p311 :rule refl :args (@t224)) % 34.24/34.78 (step @p312 :rule refl :args (@t171)) % 34.24/34.78 (step @p313 :rule nary_cong :premises (@p312 @p311 @p231 @p310 @p309) :args (@t225)) % 34.24/34.78 (step @p314 :rule refl :args (@t226)) % 34.24/34.78 (step @p315 :rule cong :premises (@p314 @p313) :args ((=> @t226 @t225))) % 34.24/34.78 (assume-push @p484 @t226) % 34.24/34.78 (step @p317 :rule instantiate :premises (@p308) :args ((@list tptp.sk4 tptp.sk3))) % 34.24/34.78 (step-pop @p485 :rule scope :premises (@p317)) % 34.24/34.78 (step @p318 :rule process_scope :premises (@p485) :args (@t225)) % 34.24/34.78 (step @p320 :rule eq_resolve :premises (@p318 @p315)) % 34.24/34.78 (step @p321 :rule implies_elim :premises (@p320)) % 34.24/34.78 (step @p322 :rule chain_m_resolution :premises (@p321 @p308) :args (@t228 @t174 (@list @t226))) % 34.24/34.78 (step @p323 :rule eq-symm :args (@t140 @t3)) % 34.24/34.78 (step @p324 :rule nary_cong :premises (@p305 @p210 @p201 @p323) :args (@t141)) % 34.24/34.78 (step @p325 :rule cong :premises (@p324) :args (@t142)) % 34.24/34.78 (step @p326 :rule eq_resolve :premises (@p165 @p325)) % 34.24/34.78 (step @p327 :rule instantiate :premises (@p326) :args ((@list tptp.nil tptp.nil))) % 34.24/34.78 (step @p328 :rule aci_norm :args ((= (or false @t198 @t229) (or @t198 @t229)))) % 34.24/34.78 (step @p329 :rule refl :args (@t229)) % 34.24/34.78 (step @p330 :rule evaluate :args ((not true))) % 34.24/34.78 (step @p331 :rule eq-refl :args (tptp.nil)) % 34.24/34.78 (step @p332 :rule cong :premises (@p331) :args (@t230)) % 34.24/34.78 (step @p333 :rule trans :premises (@p332 @p330)) % 34.24/34.78 (step @p334 :rule nary_cong :premises (@p333 @p230 @p329) :args (@t231)) % 34.24/34.78 (step @p335 :rule trans :premises (@p334 @p328)) % 34.24/34.78 (step @p336 :rule quant-var-elim-eq :args ((= (forall @t5 (or (not (= @t3 tptp.nil)) @t62 @t48 @t61)) @t231))) % 34.24/34.78 (step @p337 :rule refl :args (@t61)) % 34.24/34.78 (step @p338 :rule refl :args (@t48)) % 34.24/34.78 (step @p339 :rule refl :args (@t62)) % 34.24/34.78 (step @p340 :rule eq-symm :args (tptp.nil @t3)) % 34.24/34.78 (step @p341 :rule cong :premises (@p340) :args (@t62)) % 34.24/34.78 (step @p342 :rule nary_cong :premises (@p341 @p339 @p338 @p337) :args (@t232)) % 34.24/34.78 (step @p343 :rule aci_norm :args ((= @t63 @t232))) % 34.24/34.78 (step @p344 :rule trans :premises (@p343 @p342)) % 34.24/34.78 (step @p345 :rule cong :premises (@p344) :args (@t64)) % 34.24/34.78 (step @p346 :rule trans :premises (@p345 @p336)) % 34.24/34.78 (step @p347 :rule trans :premises (@p346 @p335)) % 34.24/34.78 (step @p348 :rule eq_resolve :premises (@p77 @p347)) % 34.24/34.78 (step @p349 :rule chain_m_resolution :premises (@p348 @p8) :args (@t229 @t174 (@list @t2))) % 34.24/34.78 (step @p350 :rule cnf_or_pos :args (@t236)) % 34.24/34.78 (step @p351 :rule factoring :premises (@p350)) % 34.24/34.78 (step @p352 :rule reordering :premises (@p351) :args ((or @t198 @t235 @t234 (not @t236)))) % 34.24/34.78 (step @p353 :rule chain_m_resolution :premises (@p352 @p8 @p349 @p327) :args (@t234 @t190 (@list @t2 @t229 @t236))) % 34.24/34.78 (step @p354 :rule instantiate :premises (@p214) :args ((@list tptp.sk3 tptp.nil))) % 34.24/34.78 (step @p355 :rule instantiate :premises (@p60) :args (@t175)) % 34.24/34.78 (step @p356 :rule cnf_or_pos :args (@t238)) % 34.24/34.78 (step @p357 :rule reordering :premises (@p356) :args ((or @t177 @t237 (not @t238)))) % 34.24/34.78 (step @p358 :rule chain_m_resolution :premises (@p357 @p185 @p355) :args (@t237 @t179 (@list @t160 @t238))) % 34.24/34.78 (step @p359 :rule cnf_or_pos :args (@t242)) % 34.24/34.78 (step @p360 :rule reordering :premises (@p359) :args ((or @t198 @t177 @t241 @t240 (not @t242)))) % 34.24/34.78 (step @p361 :rule chain_m_resolution :premises (@p360 @p8 @p185 @p358 @p354) :args (@t240 @t197 (@list @t2 @t160 @t237 @t242))) % 34.24/34.78 (step @p362 :rule instantiate :premises (@p56) :args (@t175)) % 34.24/34.78 (step @p363 :rule cnf_or_pos :args (@t244)) % 34.24/34.78 (step @p364 :rule reordering :premises (@p363) :args ((or @t177 @t243 (not @t244)))) % 34.24/34.78 (step @p365 :rule chain_m_resolution :premises (@p364 @p185 @p362) :args (@t243 @t179 (@list @t160 @t244))) % 34.24/34.78 (assume-push @p486 @t243) % 34.24/34.78 (assume-push @p487 @t221) % 34.24/34.78 (assume-push @p488 @t240) % 34.24/34.78 (assume-push @p489 @t234) % 34.24/34.78 (assume-push @p490 @t243) % 34.24/34.78 (assume-push @p491 @t240) % 34.24/34.78 (assume-push @p492 @t234) % 34.24/34.78 (assume-push @p493 @t221) % 34.24/34.78 (step @p374 :rule true_intro :premises (@p365)) % 34.24/34.78 (step @p375 :rule symm :premises (@p487)) % 34.24/34.78 (step @p376 :rule symm :premises (@p361)) % 34.24/34.78 (step @p377 :rule refl :args (@t239)) % 34.24/34.78 (step @p378 :rule symm :premises (@p353)) % 34.24/34.78 (step @p379 :rule cong :premises (@p378 @p377) :args (@t245)) % 34.24/34.78 (step @p380 :rule trans :premises (@p379 @p376)) % 34.24/34.78 (step @p381 :rule cong :premises (@p380 @p375) :args ((tptp.segmentP @t245 tptp.sk4))) % 34.24/34.78 (step @p382 :rule refl :args (tptp.sk4)) % 34.24/34.78 (step @p383 :rule symm :premises (@p380)) % 34.24/34.78 (step @p384 :rule cong :premises (@p383 @p382) :args (@t223)) % 34.24/34.78 (step @p385 :rule trans :premises (@p384 @p381 @p374)) % 34.24/34.78 (step @p386 :rule true_elim :premises (@p385)) % 34.24/34.78 (step-pop @p494 :rule scope :premises (@p386)) % 34.24/34.78 (step-pop @p495 :rule scope :premises (@p494)) % 34.24/34.78 (step-pop @p496 :rule scope :premises (@p495)) % 34.24/34.78 (step-pop @p497 :rule scope :premises (@p496)) % 34.24/34.78 (step @p387 :rule process_scope :premises (@p497) :args (@t223)) % 34.24/34.78 (step @p392 :rule and_intro :premises (@p365 @p361 @p353 @p487)) % 34.24/34.78 (step @p393 :rule modus_ponens :premises (@p392 @p387)) % 34.24/34.78 (step-pop @p498 :rule scope :premises (@p393)) % 34.24/34.78 (step-pop @p499 :rule scope :premises (@p498)) % 34.24/34.78 (step-pop @p500 :rule scope :premises (@p499)) % 34.24/34.78 (step-pop @p501 :rule scope :premises (@p500)) % 34.24/34.78 (step @p394 :rule process_scope :premises (@p501) :args (@t223)) % 34.24/34.78 (step @p399 :rule implies_elim :premises (@p394)) % 34.24/34.78 (step @p400 :rule cnf_and_neg :args (@t246)) % 34.24/34.78 (step @p401 :rule resolution :premises (@p400 @p399) :args (true @t246)) % 34.24/34.78 (step @p402 :rule reordering :premises (@p401) :args ((or @t223 (not @t243) @t247 (not @t240) (not @t234)))) % 34.24/34.78 (step @p403 :rule chain_m_resolution :premises (@p402 @p365 @p303 @p361 @p353) :args (@t223 @t197 (@list @t243 @t221 @t240 @t234))) % 34.24/34.78 (step @p404 :rule cnf_or_pos :args (@t228)) % 34.24/34.78 (step @p405 :rule reordering :premises (@p404) :args ((or @t171 @t177 @t183 @t224 @t227 (not @t228)))) % 34.24/34.78 (step @p406 :rule chain_m_resolution :premises (@p405 @p189 @p185 @p186 @p403 @p322) :args (@t227 @t208 (@list @t162 @t160 @t161 @t223 @t228))) % 34.24/34.78 (step @p407 :rule refl :args (@t248)) % 34.24/34.78 (step @p408 :rule refl :args (@t249)) % 34.24/34.78 (step @p409 :rule refl :args (@t250)) % 34.24/34.78 (step @p410 :rule refl :args (@t251)) % 34.24/34.78 (step @p411 :rule refl :args (@t247)) % 34.24/34.78 (step @p412 :rule refl :args (@t252)) % 34.24/34.78 (step @p413 :rule refl :args (@t253)) % 34.24/34.78 (step @p414 :rule nary_cong :premises (@p413 @p277 @p412 @p411 @p410 @p409 @p408 @p407) :args ((or @t253 @t218 @t252 @t247 @t251 @t250 @t249 @t248))) % 34.24/34.78 (assume-push @p502 @t1) % 34.24/34.78 (assume-push @p503 @t221) % 34.24/34.78 (assume-push @p504 @t227) % 34.24/34.78 (assume-push @p505 @t176) % 34.24/34.78 (assume-push @p506 @t202) % 34.24/34.78 (assume-push @p507 @t193) % 34.24/34.78 (assume-push @p508 @t187) % 34.24/34.78 (assume-push @p509 @t173) % 34.24/34.78 (step @p423 :rule evaluate :args ((= false true))) % 34.24/34.78 (step @p424 :rule true_intro :premises (@p3)) % 34.24/34.78 (step @p425 :rule symm :premises (@p503)) % 34.24/34.78 (step @p426 :rule symm :premises (@p208)) % 34.24/34.78 (step @p427 :rule refl :args (tptp.sk3)) % 34.24/34.78 (step @p428 :rule symm :premises (@p257)) % 34.24/34.78 (step @p429 :rule cong :premises (@p428 @p427) :args (@t191)) % 34.24/34.78 (step @p430 :rule trans :premises (@p429 @p426)) % 34.24/34.78 (step @p431 :rule cong :premises (@p425 @p430) :args (@t192)) % 34.24/34.78 (step @p432 :rule cong :premises (@p223 @p427) :args (@t254)) % 34.24/34.78 (step @p433 :rule trans :premises (@p432 @p228 @p431 @p426 @p504 @p425)) % 34.24/34.78 (step @p434 :rule cong :premises (@p433) :args ((tptp.strictorderedP @t254))) % 34.24/34.78 (step @p435 :rule symm :premises (@p432)) % 34.24/34.78 (step @p436 :rule symm :premises (@p228)) % 34.24/34.78 (step @p437 :rule symm :premises (@p431)) % 34.24/34.78 (step @p438 :rule trans :premises (@p208 @p437 @p436 @p435)) % 34.24/34.78 (step @p439 :rule cong :premises (@p438) :args (@t172)) % 34.24/34.78 (step @p283 :rule false_intro :premises (@p199)) % 34.24/34.78 (step @p440 :rule symm :premises (@p283)) % 34.24/34.78 (step @p441 :rule trans :premises (@p440 @p439 @p434 @p424)) % 34.24/34.78 (step @p442 false :rule eq_resolve :premises (@p441 @p423)) % 34.24/34.78 (step-pop @p510 :rule scope :premises (@p442)) % 34.24/34.78 (step-pop @p511 :rule scope :premises (@p510)) % 34.24/34.78 (step-pop @p512 :rule scope :premises (@p511)) % 34.24/34.78 (step-pop @p513 :rule scope :premises (@p512)) % 34.24/34.78 (step-pop @p514 :rule scope :premises (@p513)) % 34.24/34.78 (step-pop @p515 :rule scope :premises (@p514)) % 34.24/34.78 (step-pop @p516 :rule scope :premises (@p515)) % 34.24/34.78 (step-pop @p517 :rule scope :premises (@p516)) % 34.24/34.78 (step @p443 :rule process_scope :premises (@p517) :args (false)) % 34.24/34.78 (assume-push @p518 @t1) % 34.24/34.78 (assume-push @p519 @t173) % 34.24/34.78 (assume-push @p520 @t176) % 34.24/34.78 (assume-push @p521 @t221) % 34.24/34.78 (assume-push @p522 @t227) % 34.24/34.78 (assume-push @p523 @t187) % 34.24/34.78 (assume-push @p524 @t202) % 34.24/34.78 (assume-push @p525 @t193) % 34.24/34.78 (step @p460 :rule and_intro :premises (@p3 @p521 @p522 @p208 @p257 @p228 @p223 @p199)) % 34.24/34.78 (step-pop @p526 :rule scope :premises (@p460)) % 34.24/34.78 (step-pop @p527 :rule scope :premises (@p526)) % 34.24/34.78 (step-pop @p528 :rule scope :premises (@p527)) % 34.24/34.78 (step-pop @p529 :rule scope :premises (@p528)) % 34.24/34.78 (step-pop @p530 :rule scope :premises (@p529)) % 34.24/34.78 (step-pop @p531 :rule scope :premises (@p530)) % 34.24/34.78 (step-pop @p532 :rule scope :premises (@p531)) % 34.24/34.78 (step-pop @p533 :rule scope :premises (@p532)) % 34.24/34.78 (step @p461 :rule process_scope :premises (@p533) :args (@t255)) % 34.24/34.78 (step @p470 :rule implies_elim :premises (@p461)) % 34.24/34.78 (step @p471 :rule resolution :premises (@p470 @p443) :args (true @t255)) % 34.24/34.78 (step @p472 :rule not_and :premises (@p471)) % 34.24/34.78 (step @p473 :rule eq_resolve :premises (@p472 @p414)) % 34.24/34.78 (step @p474 :rule reordering :premises (@p473) :args ((or @t172 @t253 @t252 @t247 @t251 @t250 @t249 @t248))) % 34.24/34.78 (step @p475 false :rule chain_m_resolution :premises (@p474 @p406 @p303 @p257 @p228 @p223 @p208 @p199 @p3) :args (false (@list false false false false false false true false) (@list @t227 @t221 @t202 @t193 @t187 @t176 @t172 @t1))) % 34.24/34.78 ) % 34.24/34.78 % SZS output end Proof % 34.24/34.78 % cvc5 exiting %------------------------------------------------------------------------------