%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC332-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:58:54 AM UTC 2026 % Result : Unsatisfiable 15.21s 15.40s % Output : Proof 15.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : SWC332-1 : TPTP v9.2.1. Released v2.4.0. % 0.09/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.36 % Computer : n019.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Tue Jun 2 19:41:49 EDT 2026 % 0.16/0.36 % CPUTime : % 0.27/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.21/15.40 % SZS status Unsatisfiable % 15.21/15.40 % SZS output start Proof % 15.21/15.41 ( % 15.21/15.41 (declare-sort $$unsorted 0) % 15.21/15.41 (declare-const tptp.sk4 $$unsorted) % 15.21/15.41 (declare-const tptp.sk2 $$unsorted) % 15.21/15.41 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.nil $$unsorted) % 15.21/15.41 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.sk1 $$unsorted) % 15.21/15.41 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skac2 $$unsorted) % 15.21/15.41 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.sk3 $$unsorted) % 15.21/15.41 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.ssList (-> $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skac3 $$unsorted) % 15.21/15.41 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 15.21/15.41 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 15.21/15.41 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 15.21/15.41 (define @t1 () (tptp.equalelemsP tptp.nil)) % 15.21/15.41 (define @t2 () (tptp.ssList tptp.nil)) % 15.21/15.41 (define @t3 () (@var "U" $$unsorted)) % 15.21/15.41 (define @t4 () (tptp.skaf83 @t3)) % 15.21/15.41 (define @t5 () (@list @t3)) % 15.21/15.41 (define @t6 () (tptp.skaf82 @t3)) % 15.21/15.41 (define @t7 () (tptp.skaf81 @t3)) % 15.21/15.41 (define @t8 () (tptp.skaf80 @t3)) % 15.21/15.41 (define @t9 () (tptp.skaf79 @t3)) % 15.21/15.41 (define @t10 () (tptp.skaf78 @t3)) % 15.21/15.41 (define @t11 () (tptp.skaf77 @t3)) % 15.21/15.41 (define @t12 () (tptp.skaf76 @t3)) % 15.21/15.41 (define @t13 () (tptp.skaf75 @t3)) % 15.21/15.41 (define @t14 () (tptp.skaf74 @t3)) % 15.21/15.41 (define @t15 () (tptp.skaf73 @t3)) % 15.21/15.41 (define @t16 () (tptp.skaf72 @t3)) % 15.21/15.41 (define @t17 () (tptp.skaf71 @t3)) % 15.21/15.41 (define @t18 () (tptp.skaf70 @t3)) % 15.21/15.41 (define @t19 () (tptp.skaf69 @t3)) % 15.21/15.41 (define @t20 () (tptp.skaf68 @t3)) % 15.21/15.41 (define @t21 () (tptp.skaf67 @t3)) % 15.21/15.41 (define @t22 () (tptp.skaf66 @t3)) % 15.21/15.41 (define @t23 () (tptp.skaf65 @t3)) % 15.21/15.41 (define @t24 () (tptp.skaf64 @t3)) % 15.21/15.41 (define @t25 () (tptp.skaf63 @t3)) % 15.21/15.41 (define @t26 () (tptp.skaf62 @t3)) % 15.21/15.41 (define @t27 () (tptp.skaf61 @t3)) % 15.21/15.41 (define @t28 () (tptp.skaf60 @t3)) % 15.21/15.41 (define @t29 () (tptp.skaf59 @t3)) % 15.21/15.41 (define @t30 () (tptp.skaf58 @t3)) % 15.21/15.41 (define @t31 () (tptp.skaf57 @t3)) % 15.21/15.41 (define @t32 () (tptp.skaf56 @t3)) % 15.21/15.41 (define @t33 () (tptp.skaf55 @t3)) % 15.21/15.41 (define @t34 () (tptp.skaf54 @t3)) % 15.21/15.41 (define @t35 () (tptp.skaf53 @t3)) % 15.21/15.41 (define @t36 () (tptp.skaf52 @t3)) % 15.21/15.41 (define @t37 () (tptp.skaf51 @t3)) % 15.21/15.41 (define @t38 () (tptp.skaf50 @t3)) % 15.21/15.41 (define @t39 () (tptp.skaf49 @t3)) % 15.21/15.41 (define @t40 () (tptp.skaf44 @t3)) % 15.21/15.41 (define @t41 () (@var "V" $$unsorted)) % 15.21/15.41 (define @t42 () (@list @t3 @t41)) % 15.21/15.41 (define @t43 () (tptp.skaf47 @t3 @t41)) % 15.21/15.41 (define @t44 () (tptp.skaf46 @t3 @t41)) % 15.21/15.41 (define @t45 () (tptp.skaf45 @t3 @t41)) % 15.21/15.41 (define @t46 () (tptp.skaf42 @t3 @t41)) % 15.21/15.41 (define @t47 () (not (tptp.ssItem @t3))) % 15.21/15.41 (define @t48 () (not (tptp.ssList @t3))) % 15.21/15.41 (define @t49 () (tptp.cons @t3 tptp.nil)) % 15.21/15.41 (define @t50 () (tptp.ssItem @t41)) % 15.21/15.41 (define @t51 () (tptp.duplicatefreeP @t3)) % 15.21/15.41 (define @t52 () (= tptp.nil @t3)) % 15.21/15.41 (define @t53 () (tptp.tl @t3)) % 15.21/15.41 (define @t54 () (tptp.hd @t3)) % 15.21/15.41 (define @t55 () (tptp.segmentP tptp.nil @t3)) % 15.21/15.41 (define @t56 () (not @t52)) % 15.21/15.41 (define @t57 () (tptp.rearsegP tptp.nil @t3)) % 15.21/15.41 (define @t58 () (tptp.frontsegP tptp.nil @t3)) % 15.21/15.41 (define @t59 () (tptp.app @t41 @t3)) % 15.21/15.41 (define @t60 () (not (tptp.ssList @t41))) % 15.21/15.41 (define @t61 () (tptp.cons @t3 @t41)) % 15.21/15.41 (define @t62 () (tptp.cyclefreeP @t3)) % 15.21/15.41 (define @t63 () (tptp.equalelemsP @t3)) % 15.21/15.41 (define @t64 () (tptp.strictorderedP @t3)) % 15.21/15.41 (define @t65 () (tptp.totalorderedP @t3)) % 15.21/15.41 (define @t66 () (tptp.strictorderP @t3)) % 15.21/15.41 (define @t67 () (tptp.totalorderP @t3)) % 15.21/15.41 (define @t68 () (= @t41 @t3)) % 15.21/15.41 (define @t69 () (tptp.neq @t41 @t3)) % 15.21/15.41 (define @t70 () (or @t48 @t60 @t69 @t68)) % 15.21/15.41 (define @t71 () (forall @t42 @t70)) % 15.21/15.41 (define @t72 () (tptp.cons @t40 tptp.nil)) % 15.21/15.41 (define @t73 () (not (tptp.singletonP @t3))) % 15.21/15.41 (define @t74 () (or @t73 @t48 (= @t72 @t3))) % 15.21/15.41 (define @t75 () (forall @t5 @t74)) % 15.21/15.41 (define @t76 () (not @t50)) % 15.21/15.41 (define @t77 () (tptp.leq @t3 @t41)) % 15.21/15.41 (define @t78 () (tptp.lt @t3 @t41)) % 15.21/15.41 (define @t79 () (not @t78)) % 15.21/15.41 (define @t80 () (tptp.lt @t41 @t3)) % 15.21/15.41 (define @t81 () (not (tptp.gt @t3 @t41))) % 15.21/15.41 (define @t82 () (tptp.gt @t41 @t3)) % 15.21/15.41 (define @t83 () (tptp.leq @t41 @t3)) % 15.21/15.41 (define @t84 () (not (tptp.geq @t3 @t41))) % 15.21/15.41 (define @t85 () (tptp.geq @t41 @t3)) % 15.21/15.41 (define @t86 () (not @t77)) % 15.21/15.41 (define @t87 () (= @t3 @t41)) % 15.21/15.41 (define @t88 () (not @t87)) % 15.21/15.41 (define @t89 () (tptp.cons @t41 @t3)) % 15.21/15.41 (define @t90 () (not (tptp.neq @t3 @t41))) % 15.21/15.41 (define @t91 () (tptp.app @t3 @t41)) % 15.21/15.41 (define @t92 () (= @t91 tptp.nil)) % 15.21/15.41 (define @t93 () (not @t92)) % 15.21/15.41 (define @t94 () (= tptp.nil @t41)) % 15.21/15.41 (define @t95 () (tptp.hd @t41)) % 15.21/15.41 (define @t96 () (tptp.strictorderedP @t41)) % 15.21/15.41 (define @t97 () (tptp.strictorderedP @t61)) % 15.21/15.41 (define @t98 () (not @t97)) % 15.21/15.41 (define @t99 () (tptp.totalorderedP @t41)) % 15.21/15.41 (define @t100 () (tptp.totalorderedP @t61)) % 15.21/15.41 (define @t101 () (not @t100)) % 15.21/15.41 (define @t102 () (not (tptp.segmentP @t41 @t3))) % 15.21/15.41 (define @t103 () (not (tptp.segmentP @t3 @t41))) % 15.21/15.41 (define @t104 () (or @t103 @t102 @t48 @t60 @t68)) % 15.21/15.41 (define @t105 () (forall @t42 @t104)) % 15.21/15.41 (define @t106 () (not (tptp.rearsegP @t3 @t41))) % 15.21/15.41 (define @t107 () (not (tptp.frontsegP @t3 @t41))) % 15.21/15.41 (define @t108 () (not @t83)) % 15.21/15.41 (define @t109 () (tptp.tl @t41)) % 15.21/15.41 (define @t110 () (tptp.lt @t3 @t95)) % 15.21/15.41 (define @t111 () (tptp.leq @t3 @t95)) % 15.21/15.41 (define @t112 () (@var "W" $$unsorted)) % 15.21/15.41 (define @t113 () (tptp.app @t112 @t3)) % 15.21/15.41 (define @t114 () (not (tptp.ssList @t112))) % 15.21/15.41 (define @t115 () (@list @t3 @t41 @t112)) % 15.21/15.41 (define @t116 () (tptp.app @t3 @t112)) % 15.21/15.41 (define @t117 () (tptp.cons @t41 @t112)) % 15.21/15.41 (define @t118 () (tptp.cons @t112 @t3)) % 15.21/15.41 (define @t119 () (not (tptp.ssItem @t112))) % 15.21/15.41 (define @t120 () (not (tptp.memberP @t3 @t41))) % 15.21/15.41 (define @t121 () (not (= @t91 @t112))) % 15.21/15.41 (define @t122 () (tptp.lt @t3 @t112)) % 15.21/15.41 (define @t123 () (not (tptp.lt @t41 @t112))) % 15.21/15.41 (define @t124 () (tptp.app @t112 @t41)) % 15.21/15.41 (define @t125 () (= @t41 @t112)) % 15.21/15.41 (define @t126 () (= @t3 @t112)) % 15.21/15.41 (define @t127 () (tptp.memberP @t41 @t112)) % 15.21/15.41 (define @t128 () (@var "X" $$unsorted)) % 15.21/15.41 (define @t129 () (not (tptp.ssList @t128))) % 15.21/15.41 (define @t130 () (tptp.cons @t112 @t128)) % 15.21/15.41 (define @t131 () (not (= @t61 @t130))) % 15.21/15.41 (define @t132 () (@list @t3 @t41 @t112 @t128)) % 15.21/15.41 (define @t133 () (not (tptp.frontsegP @t61 @t130))) % 15.21/15.41 (define @t134 () (tptp.app @t3 @t117)) % 15.21/15.41 (define @t135 () (not (tptp.ssItem @t128))) % 15.21/15.41 (define @t136 () (@var "Y" $$unsorted)) % 15.21/15.41 (define @t137 () (not (tptp.ssList @t136))) % 15.21/15.41 (define @t138 () (@list @t3 @t41 @t112 @t128 @t136)) % 15.21/15.41 (define @t139 () (tptp.lt @t41 @t128)) % 15.21/15.41 (define @t140 () (@var "Z" $$unsorted)) % 15.21/15.41 (define @t141 () (not (tptp.ssList @t140))) % 15.21/15.41 (define @t142 () (not (= (tptp.app @t134 (tptp.cons @t128 @t136)) @t140))) % 15.21/15.41 (define @t143 () (@list @t3 @t41 @t112 @t128 @t136 @t140)) % 15.21/15.41 (define @t144 () (tptp.leq @t41 @t128)) % 15.21/15.41 (define @t145 () (tptp.ssList tptp.sk1)) % 15.21/15.41 (define @t146 () (tptp.ssList tptp.sk3)) % 15.21/15.41 (define @t147 () (tptp.ssList tptp.sk4)) % 15.21/15.41 (define @t148 () (= tptp.sk2 tptp.sk4)) % 15.21/15.41 (define @t149 () (= tptp.sk1 tptp.sk3)) % 15.21/15.41 (define @t150 () (tptp.segmentP tptp.sk4 tptp.sk3)) % 15.21/15.41 (define @t151 () (tptp.neq tptp.sk4 tptp.nil)) % 15.21/15.41 (define @t152 () (tptp.singletonP tptp.sk3)) % 15.21/15.41 (define @t153 () (tptp.equalelemsP tptp.sk1)) % 15.21/15.41 (define @t154 () (not @t153)) % 15.21/15.41 (define @t155 () (tptp.segmentP tptp.sk2 tptp.sk1)) % 15.21/15.41 (define @t156 () (@list false)) % 15.21/15.41 (define @t157 () (@list tptp.sk1)) % 15.21/15.41 (define @t158 () (tptp.segmentP tptp.sk1 tptp.nil)) % 15.21/15.41 (define @t159 () (not @t145)) % 15.21/15.41 (define @t160 () (or @t159 @t158)) % 15.21/15.41 (define @t161 () (@list false false)) % 15.21/15.41 (define @t162 () (= tptp.nil tptp.sk2)) % 15.21/15.41 (define @t163 () (tptp.segmentP tptp.sk3 tptp.sk4)) % 15.21/15.41 (define @t164 () (and @t148 @t149 @t158 @t162)) % 15.21/15.41 (define @t165 () (not @t162)) % 15.21/15.41 (define @t166 () (not @t149)) % 15.21/15.41 (define @t167 () (not @t148)) % 15.21/15.41 (define @t168 () (not @t146)) % 15.21/15.41 (define @t169 () (not @t147)) % 15.21/15.41 (define @t170 () (not @t163)) % 15.21/15.41 (define @t171 () (not @t150)) % 15.21/15.41 (define @t172 () (or @t171 @t170 @t169 @t168 (= tptp.sk4 tptp.sk3))) % 15.21/15.41 (define @t173 () (forall @t42 (or @t103 @t102 @t48 @t60 @t87))) % 15.21/15.41 (define @t174 () (= tptp.sk3 tptp.sk4)) % 15.21/15.41 (define @t175 () (or @t171 @t170 @t169 @t168 @t174)) % 15.21/15.41 (define @t176 () (not @t174)) % 15.21/15.41 (define @t177 () (not @t1)) % 15.21/15.41 (define @t178 () (not @t154)) % 15.21/15.41 (define @t179 () (= false true)) % 15.21/15.41 (define @t180 () (and @t1 @t162 @t148 @t174 @t149 @t154)) % 15.21/15.41 (define @t181 () (= tptp.nil tptp.sk4)) % 15.21/15.41 (define @t182 () (not @t181)) % 15.21/15.41 (define @t183 () (and @t148 @t165)) % 15.21/15.41 (define @t184 () (not @t2)) % 15.21/15.41 (define @t185 () (or @t184 @t169 @t151 @t181)) % 15.21/15.41 (define @t186 () (@list false false true false)) % 15.21/15.41 (define @t187 () (tptp.skaf44 tptp.sk3)) % 15.21/15.41 (define @t188 () (tptp.cons @t187 tptp.nil)) % 15.21/15.41 (define @t189 () (= tptp.sk3 @t188)) % 15.21/15.41 (define @t190 () (not @t152)) % 15.21/15.41 (define @t191 () (or @t190 @t168 @t189)) % 15.21/15.41 (define @t192 () (tptp.skaf44 tptp.sk1)) % 15.21/15.41 (define @t193 () (tptp.equalelemsP (tptp.cons @t192 tptp.nil))) % 15.21/15.41 (define @t194 () (tptp.ssItem @t192)) % 15.21/15.41 (define @t195 () (not @t194)) % 15.21/15.41 (define @t196 () (or @t195 @t193)) % 15.21/15.41 (define @t197 () (not @t193)) % 15.21/15.41 (define @t198 () (not @t189)) % 15.21/15.41 (define @t199 () (and @t193 @t149 @t189 @t154)) % 15.21/15.41 (assume @p1 @t1) % 15.21/15.41 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 15.21/15.41 (assume @p3 (tptp.strictorderedP tptp.nil)) % 15.21/15.41 (assume @p4 (tptp.totalorderedP tptp.nil)) % 15.21/15.41 (assume @p5 (tptp.strictorderP tptp.nil)) % 15.21/15.41 (assume @p6 (tptp.totalorderP tptp.nil)) % 15.21/15.41 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 15.21/15.41 (assume @p8 @t2) % 15.21/15.41 (assume @p9 (tptp.ssItem tptp.skac3)) % 15.21/15.41 (assume @p10 (tptp.ssItem tptp.skac2)) % 15.21/15.41 (assume @p11 (not (tptp.singletonP tptp.nil))) % 15.21/15.41 (assume @p12 (forall @t5 (tptp.ssItem @t4))) % 15.21/15.41 (assume @p13 (forall @t5 (tptp.ssList @t6))) % 15.21/15.41 (assume @p14 (forall @t5 (tptp.ssList @t7))) % 15.21/15.41 (assume @p15 (forall @t5 (tptp.ssList @t8))) % 15.21/15.41 (assume @p16 (forall @t5 (tptp.ssItem @t9))) % 15.21/15.41 (assume @p17 (forall @t5 (tptp.ssItem @t10))) % 15.21/15.41 (assume @p18 (forall @t5 (tptp.ssList @t11))) % 15.21/15.41 (assume @p19 (forall @t5 (tptp.ssList @t12))) % 15.21/15.41 (assume @p20 (forall @t5 (tptp.ssList @t13))) % 15.21/15.41 (assume @p21 (forall @t5 (tptp.ssItem @t14))) % 15.21/15.41 (assume @p22 (forall @t5 (tptp.ssList @t15))) % 15.21/15.41 (assume @p23 (forall @t5 (tptp.ssList @t16))) % 15.21/15.41 (assume @p24 (forall @t5 (tptp.ssList @t17))) % 15.21/15.41 (assume @p25 (forall @t5 (tptp.ssItem @t18))) % 15.21/15.41 (assume @p26 (forall @t5 (tptp.ssItem @t19))) % 15.21/15.41 (assume @p27 (forall @t5 (tptp.ssList @t20))) % 15.21/15.41 (assume @p28 (forall @t5 (tptp.ssList @t21))) % 15.21/15.41 (assume @p29 (forall @t5 (tptp.ssList @t22))) % 15.21/15.41 (assume @p30 (forall @t5 (tptp.ssItem @t23))) % 15.21/15.41 (assume @p31 (forall @t5 (tptp.ssItem @t24))) % 15.21/15.41 (assume @p32 (forall @t5 (tptp.ssList @t25))) % 15.21/15.41 (assume @p33 (forall @t5 (tptp.ssList @t26))) % 15.21/15.41 (assume @p34 (forall @t5 (tptp.ssList @t27))) % 15.21/15.41 (assume @p35 (forall @t5 (tptp.ssItem @t28))) % 15.21/15.41 (assume @p36 (forall @t5 (tptp.ssItem @t29))) % 15.21/15.41 (assume @p37 (forall @t5 (tptp.ssList @t30))) % 15.21/15.41 (assume @p38 (forall @t5 (tptp.ssList @t31))) % 15.21/15.41 (assume @p39 (forall @t5 (tptp.ssList @t32))) % 15.21/15.41 (assume @p40 (forall @t5 (tptp.ssItem @t33))) % 15.21/15.41 (assume @p41 (forall @t5 (tptp.ssItem @t34))) % 15.21/15.41 (assume @p42 (forall @t5 (tptp.ssList @t35))) % 15.21/15.41 (assume @p43 (forall @t5 (tptp.ssList @t36))) % 15.21/15.41 (assume @p44 (forall @t5 (tptp.ssList @t37))) % 15.21/15.41 (assume @p45 (forall @t5 (tptp.ssItem @t38))) % 15.21/15.41 (assume @p46 (forall @t5 (tptp.ssItem @t39))) % 15.21/15.41 (assume @p47 (forall @t5 (tptp.ssItem @t40))) % 15.21/15.41 (assume @p48 (forall @t42 (tptp.ssList (tptp.skaf48 @t3 @t41)))) % 15.21/15.41 (assume @p49 (forall @t42 (tptp.ssList @t43))) % 15.21/15.41 (assume @p50 (forall @t42 (tptp.ssList @t44))) % 15.21/15.41 (assume @p51 (forall @t42 (tptp.ssList @t45))) % 15.21/15.41 (assume @p52 (forall @t42 (tptp.ssList (tptp.skaf43 @t3 @t41)))) % 15.21/15.41 (assume @p53 (forall @t42 (tptp.ssList @t46))) % 15.21/15.41 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 15.21/15.41 (assume @p55 (forall @t5 (or @t47 (tptp.geq @t3 @t3)))) % 15.21/15.41 (assume @p56 (forall @t5 (or @t48 (tptp.segmentP @t3 tptp.nil)))) % 15.21/15.41 (assume @p57 (forall @t5 (or @t48 (tptp.segmentP @t3 @t3)))) % 15.21/15.41 (assume @p58 (forall @t5 (or @t48 (tptp.rearsegP @t3 tptp.nil)))) % 15.21/15.41 (assume @p59 (forall @t5 (or @t48 (tptp.rearsegP @t3 @t3)))) % 15.21/15.41 (assume @p60 (forall @t5 (or @t48 (tptp.frontsegP @t3 tptp.nil)))) % 15.21/15.41 (assume @p61 (forall @t5 (or @t48 (tptp.frontsegP @t3 @t3)))) % 15.21/15.41 (assume @p62 (forall @t5 (or @t47 (tptp.leq @t3 @t3)))) % 15.21/15.41 (assume @p63 (forall @t5 (or (not (tptp.lt @t3 @t3)) @t47))) % 15.21/15.41 (assume @p64 (forall @t5 (or @t47 (tptp.equalelemsP @t49)))) % 15.21/15.41 (assume @p65 (forall @t5 (or @t47 (tptp.duplicatefreeP @t49)))) % 15.21/15.41 (assume @p66 (forall @t5 (or @t47 (tptp.strictorderedP @t49)))) % 15.21/15.41 (assume @p67 (forall @t5 (or @t47 (tptp.totalorderedP @t49)))) % 15.21/15.41 (assume @p68 (forall @t5 (or @t47 (tptp.strictorderP @t49)))) % 15.21/15.41 (assume @p69 (forall @t5 (or @t47 (tptp.totalorderP @t49)))) % 15.21/15.41 (assume @p70 (forall @t5 (or @t47 (tptp.cyclefreeP @t49)))) % 15.21/15.41 (assume @p71 (forall @t5 (or (not (tptp.memberP tptp.nil @t3)) @t47))) % 15.21/15.41 (assume @p72 (forall @t42 (or @t48 @t51 @t50))) % 15.21/15.41 (assume @p73 (forall @t5 (or @t48 (= (tptp.app @t3 tptp.nil) @t3)))) % 15.21/15.41 (assume @p74 (forall @t5 (or @t48 (= (tptp.app tptp.nil @t3) @t3)))) % 15.21/15.41 (assume @p75 (forall @t5 (or @t48 (tptp.ssList @t53) @t52))) % 15.21/15.41 (assume @p76 (forall @t5 (or @t48 (tptp.ssItem @t54) @t52))) % 15.21/15.41 (assume @p77 (forall @t5 (or @t56 @t48 @t55))) % 15.21/15.41 (assume @p78 (forall @t5 (or (not @t55) @t48 @t52))) % 15.21/15.41 (assume @p79 (forall @t5 (or @t56 @t48 @t57))) % 15.21/15.41 (assume @p80 (forall @t5 (or (not @t57) @t48 @t52))) % 15.21/15.41 (assume @p81 (forall @t5 (or @t56 @t48 @t58))) % 15.21/15.41 (assume @p82 (forall @t5 (or (not @t58) @t48 @t52))) % 15.21/15.41 (assume @p83 (forall @t42 (or @t48 @t60 (tptp.ssList @t59)))) % 15.21/15.41 (assume @p84 (forall @t42 (or @t47 @t60 (tptp.ssList @t61)))) % 15.21/15.41 (assume @p85 (forall @t5 (or @t48 @t62 (tptp.leq @t38 @t39)))) % 15.21/15.41 (assume @p86 (forall @t5 (or @t48 @t62 (tptp.leq @t39 @t38)))) % 15.21/15.41 (assume @p87 (forall @t5 (or (not (= @t9 @t10)) @t48 @t63))) % 15.21/15.41 (assume @p88 (forall @t5 (or (not (tptp.lt @t19 @t18)) @t48 @t64))) % 15.21/15.41 (assume @p89 (forall @t5 (or (not (tptp.leq @t24 @t23)) @t48 @t65))) % 15.21/15.41 (assume @p90 (forall @t5 (or (not (tptp.lt @t28 @t29)) @t48 @t66))) % 15.21/15.41 (assume @p91 (forall @t5 (or (not (tptp.lt @t29 @t28)) @t48 @t66))) % 15.21/15.41 (assume @p92 (forall @t5 (or (not (tptp.leq @t33 @t34)) @t48 @t67))) % 15.21/15.41 (assume @p93 (forall @t5 (or (not (tptp.leq @t34 @t33)) @t48 @t67))) % 15.21/15.41 (assume @p94 (forall @t42 (or @t47 @t60 (= (tptp.tl @t61) @t41)))) % 15.21/15.41 (assume @p95 (forall @t42 (or @t47 @t60 (= (tptp.hd @t61) @t3)))) % 15.21/15.41 (assume @p96 (forall @t42 (or (not (= @t61 tptp.nil)) @t47 @t60))) % 15.21/15.41 (assume @p97 (forall @t42 (or (not (= @t61 @t41)) @t47 @t60))) % 15.21/15.41 (assume @p98 @t71) % 15.21/15.41 (assume @p99 @t75) % 15.21/15.41 (assume @p100 (forall @t42 (or @t47 @t76 @t69 @t68))) % 15.21/15.41 (assume @p101 (forall @t42 (or @t79 @t76 @t47 @t77))) % 15.21/15.41 (assume @p102 (forall @t5 (or @t48 (= (tptp.cons @t54 @t53) @t3) @t52))) % 15.21/15.41 (assume @p103 (forall @t42 (or @t81 @t76 @t47 @t80))) % 15.21/15.41 (assume @p104 (forall @t42 (or @t79 @t47 @t76 @t82))) % 15.21/15.41 (assume @p105 (forall @t42 (or @t84 @t76 @t47 @t83))) % 15.21/15.41 (assume @p106 (forall @t42 (or @t86 @t47 @t76 @t85))) % 15.21/15.41 (assume @p107 (forall @t5 (or @t48 (= (tptp.cons @t4 @t6) @t3) @t52))) % 15.21/15.41 (assume @p108 (forall @t42 (or @t81 (not @t82) @t47 @t76))) % 15.21/15.41 (assume @p109 (forall @t42 (or @t88 @t79 @t76 @t47))) % 15.21/15.41 (assume @p110 (forall @t42 (or @t56 @t48 @t76 (tptp.strictorderedP @t89)))) % 15.21/15.41 (assume @p111 (forall @t42 (or @t56 @t48 @t76 (tptp.totalorderedP @t89)))) % 15.21/15.41 (assume @p112 (forall @t42 (or @t79 (not @t80) @t47 @t76))) % 15.21/15.41 (assume @p113 (forall @t42 (or @t88 @t90 @t60 @t48))) % 15.21/15.41 (assume @p114 (forall @t42 (or (not (= @t49 @t41)) @t47 @t60 (tptp.singletonP @t41)))) % 15.21/15.41 (assume @p115 (forall @t42 (or @t88 @t90 @t76 @t47))) % 15.21/15.41 (assume @p116 (forall @t42 (or @t93 @t60 @t48 @t52))) % 15.21/15.41 (assume @p117 (forall @t42 (or @t93 @t60 @t48 @t94))) % 15.21/15.41 (assume @p118 (forall @t42 (or @t47 @t60 (= (tptp.app @t49 @t41) @t61)))) % 15.21/15.41 (assume @p119 (forall @t42 (or @t86 @t76 @t47 @t78 @t87))) % 15.21/15.41 (assume @p120 (forall @t42 (or @t48 @t60 @t94 (= (tptp.hd @t59) @t95)))) % 15.21/15.41 (assume @p121 (forall @t42 (or @t98 @t60 @t47 @t96 @t94))) % 15.21/15.41 (assume @p122 (forall @t42 (or @t101 @t60 @t47 @t99 @t94))) % 15.21/15.41 (assume @p123 (forall @t42 (or @t84 (not @t85) @t47 @t76 @t68))) % 15.21/15.41 (assume @p124 @t105) % 15.21/15.41 (assume @p125 (forall @t42 (or @t106 (not (tptp.rearsegP @t41 @t3)) @t48 @t60 @t68))) % 15.21/15.41 (assume @p126 (forall @t42 (or @t107 (not (tptp.frontsegP @t41 @t3)) @t48 @t60 @t68))) % 15.21/15.41 (assume @p127 (forall @t42 (or @t86 @t108 @t47 @t76 @t68))) % 15.21/15.41 (assume @p128 (forall @t42 (or @t106 @t60 @t48 (= (tptp.app @t44 @t41) @t3)))) % 15.21/15.41 (assume @p129 (forall @t42 (or @t107 @t60 @t48 (= (tptp.app @t41 @t45) @t3)))) % 15.21/15.41 (assume @p130 (forall @t42 (or @t48 @t60 @t94 (= (tptp.tl @t59) (tptp.app @t109 @t3))))) % 15.21/15.41 (assume @p131 (forall @t42 (or @t98 @t60 @t47 @t110 @t94))) % 15.21/15.41 (assume @p132 (forall @t42 (or @t101 @t60 @t47 @t111 @t94))) % 15.21/15.41 (assume @p133 (forall @t115 (or @t106 @t114 @t60 @t48 (tptp.rearsegP @t113 @t41)))) % 15.21/15.41 (assume @p134 (forall @t115 (or @t107 @t114 @t60 @t48 (tptp.frontsegP @t116 @t41)))) % 15.21/15.41 (assume @p135 (forall @t115 (or @t88 @t114 @t76 @t47 (tptp.memberP @t117 @t3)))) % 15.21/15.41 (assume @p136 (forall @t115 (or @t120 @t48 @t119 @t76 (tptp.memberP @t118 @t41)))) % 15.21/15.41 (assume @p137 (forall @t115 (or @t120 @t114 @t48 @t76 (tptp.memberP @t116 @t41)))) % 15.21/15.41 (assume @p138 (forall @t115 (or @t120 @t48 @t114 @t76 (tptp.memberP @t113 @t41)))) % 15.21/15.41 (assume @p139 (forall @t5 (or @t48 @t63 (= (tptp.app @t8 (tptp.cons @t10 (tptp.cons @t9 @t7))) @t3)))) % 15.21/15.41 (assume @p140 (forall @t115 (or @t121 @t48 @t60 @t114 (tptp.rearsegP @t112 @t41)))) % 15.21/15.41 (assume @p141 (forall @t115 (or @t121 @t60 @t48 @t114 (tptp.frontsegP @t112 @t3)))) % 15.21/15.41 (assume @p142 (forall @t42 (or @t56 (not @t94) @t60 @t48 @t92))) % 15.21/15.41 (assume @p143 (forall @t115 (or @t81 (not (tptp.gt @t41 @t112)) @t119 @t76 @t47 (tptp.gt @t3 @t112)))) % 15.21/15.41 (assume @p144 (forall @t115 (or @t86 @t123 @t119 @t76 @t47 @t122))) % 15.21/15.41 (assume @p145 (forall @t115 (or @t84 (not (tptp.geq @t41 @t112)) @t119 @t76 @t47 (tptp.geq @t3 @t112)))) % 15.21/15.41 (assume @p146 (forall @t115 (or @t48 @t60 @t114 (= (tptp.app @t124 @t3) (tptp.app @t112 @t59))))) % 15.21/15.41 (assume @p147 (forall @t115 (or (not (= @t91 @t116)) @t60 @t48 @t114 @t125))) % 15.21/15.41 (assume @p148 (forall @t115 (or (not (= @t91 @t124)) @t48 @t60 @t114 @t126))) % 15.21/15.41 (assume @p149 (forall @t115 (or @t103 (not (tptp.segmentP @t41 @t112)) @t114 @t60 @t48 (tptp.segmentP @t3 @t112)))) % 15.21/15.41 (assume @p150 (forall @t115 (or @t106 (not (tptp.rearsegP @t41 @t112)) @t114 @t60 @t48 (tptp.rearsegP @t3 @t112)))) % 15.21/15.41 (assume @p151 (forall @t115 (or @t107 (not (tptp.frontsegP @t41 @t112)) @t114 @t60 @t48 (tptp.frontsegP @t3 @t112)))) % 15.21/15.41 (assume @p152 (forall @t115 (or @t79 @t123 @t119 @t76 @t47 @t122))) % 15.21/15.41 (assume @p153 (forall @t115 (or @t86 (not (tptp.leq @t41 @t112)) @t119 @t76 @t47 (tptp.leq @t3 @t112)))) % 15.21/15.41 (assume @p154 (forall @t115 (or @t47 @t60 @t114 (= (tptp.cons @t3 (tptp.app @t41 @t112)) (tptp.app @t61 @t112))))) % 15.21/15.41 (assume @p155 (forall @t115 (or (not (tptp.memberP @t91 @t112)) @t60 @t48 @t119 @t127 (tptp.memberP @t3 @t112)))) % 15.21/15.41 (assume @p156 (forall @t42 (or (not @t111) (not @t99) @t60 @t47 @t100 @t94))) % 15.21/15.41 (assume @p157 (forall @t42 (or (not @t110) (not @t96) @t60 @t47 @t97 @t94))) % 15.21/15.41 (assume @p158 (forall @t115 (or (not (tptp.memberP @t61 @t112)) @t60 @t47 @t119 @t127 (= @t112 @t3)))) % 15.21/15.41 (assume @p159 (forall @t5 (or @t48 @t51 (= (tptp.app (tptp.app @t13 (tptp.cons @t14 @t12)) (tptp.cons @t14 @t11)) @t3)))) % 15.21/15.41 (assume @p160 (forall @t5 (or @t48 @t64 (= (tptp.app (tptp.app @t17 (tptp.cons @t19 @t16)) (tptp.cons @t18 @t15)) @t3)))) % 15.21/15.41 (assume @p161 (forall @t5 (or @t48 @t65 (= (tptp.app (tptp.app @t22 (tptp.cons @t24 @t21)) (tptp.cons @t23 @t20)) @t3)))) % 15.21/15.41 (assume @p162 (forall @t5 (or @t48 @t66 (= (tptp.app (tptp.app @t27 (tptp.cons @t29 @t26)) (tptp.cons @t28 @t25)) @t3)))) % 15.21/15.41 (assume @p163 (forall @t5 (or @t48 @t67 (= (tptp.app (tptp.app @t32 (tptp.cons @t34 @t31)) (tptp.cons @t33 @t30)) @t3)))) % 15.21/15.41 (assume @p164 (forall @t5 (or @t48 @t62 (= (tptp.app (tptp.app @t37 (tptp.cons @t39 @t36)) (tptp.cons @t38 @t35)) @t3)))) % 15.21/15.41 (assume @p165 (forall @t42 (or @t103 @t60 @t48 (= (tptp.app (tptp.app @t43 @t41) (tptp.skaf48 @t41 @t3)) @t3)))) % 15.21/15.41 (assume @p166 (forall @t42 (or @t120 @t76 @t48 (= (tptp.app @t46 (tptp.cons @t41 (tptp.skaf43 @t41 @t3))) @t3)))) % 15.21/15.41 (assume @p167 (forall @t132 (or @t131 @t119 @t47 @t129 @t60 @t126))) % 15.21/15.41 (assume @p168 (forall @t132 (or @t131 @t119 @t47 @t129 @t60 (= @t128 @t41)))) % 15.21/15.41 (assume @p169 (forall @t132 (or @t103 @t114 @t129 @t60 @t48 (tptp.segmentP (tptp.app (tptp.app @t128 @t3) @t112) @t41)))) % 15.21/15.41 (assume @p170 (forall @t132 (or (not (= (tptp.app @t91 @t112) @t128)) @t114 @t48 @t60 @t129 (tptp.segmentP @t128 @t41)))) % 15.21/15.41 (assume @p171 (forall @t132 (or @t133 @t129 @t60 @t119 @t47 (tptp.frontsegP @t41 @t128)))) % 15.21/15.41 (assume @p172 (forall @t132 (or (not (= @t134 @t128)) @t114 @t48 @t76 @t129 (tptp.memberP @t128 @t41)))) % 15.21/15.41 (assume @p173 (forall @t132 (or @t133 @t129 @t60 @t119 @t47 @t126))) % 15.21/15.41 (assume @p174 (forall @t42 (or (not (= @t53 @t109)) (not (= @t54 @t95)) @t48 @t60 @t94 @t87 @t52))) % 15.21/15.41 (assume @p175 (forall @t132 (or @t107 (not (= @t112 @t128)) @t60 @t48 @t135 @t119 (tptp.frontsegP @t118 (tptp.cons @t128 @t41))))) % 15.21/15.41 (assume @p176 (forall @t138 (or (not (= (tptp.app @t134 (tptp.cons @t41 @t128)) @t136)) @t129 @t114 @t48 @t76 (not (tptp.duplicatefreeP @t136)) @t137))) % 15.21/15.41 (assume @p177 (forall @t138 (or (not (= (tptp.app @t3 (tptp.cons @t41 @t130)) @t136)) @t129 @t48 @t119 @t76 (not (tptp.equalelemsP @t136)) @t137 @t125))) % 15.21/15.41 (assume @p178 (forall @t143 (or @t142 @t137 @t114 @t48 @t135 @t76 (not (tptp.strictorderedP @t140)) @t141 @t139))) % 15.21/15.41 (assume @p179 (forall @t143 (or @t142 @t137 @t114 @t48 @t135 @t76 (not (tptp.totalorderedP @t140)) @t141 @t144))) % 15.21/15.41 (assume @p180 (forall @t143 (or @t142 @t137 @t114 @t48 @t135 @t76 (not (tptp.strictorderP @t140)) @t141 @t139 (tptp.lt @t128 @t41)))) % 15.21/15.41 (assume @p181 (forall @t143 (or @t142 @t137 @t114 @t48 @t135 @t76 (not (tptp.totalorderP @t140)) @t141 @t144 (tptp.leq @t128 @t41)))) % 15.21/15.41 (assume @p182 (forall @t143 (or @t86 @t108 (not (= (tptp.app (tptp.app @t112 (tptp.cons @t3 @t128)) (tptp.cons @t41 @t136)) @t140)) @t137 @t129 @t114 @t76 @t47 (not (tptp.cyclefreeP @t140)) @t141))) % 15.21/15.41 (assume @p183 @t145) % 15.21/15.41 (assume @p184 (tptp.ssList tptp.sk2)) % 15.21/15.41 (assume @p185 @t146) % 15.21/15.41 (assume @p186 @t147) % 15.21/15.41 (assume @p187 @t148) % 15.21/15.41 (assume @p188 @t149) % 15.21/15.41 (assume @p189 @t150) % 15.21/15.41 (assume @p190 (or @t152 (not @t151))) % 15.21/15.41 (assume @p191 (or (not @t155) @t154)) % 15.21/15.41 (step @p192 :rule true_intro :premises (@p189)) % 15.21/15.41 (step @p193 :rule cong :premises (@p187 @p188) :args (@t155)) % 15.21/15.41 (step @p194 :rule trans :premises (@p193 @p192)) % 15.21/15.41 (step @p195 :rule true_elim :premises (@p194)) % 15.21/15.41 (step @p196 :rule chain_m_resolution :premises (@p191 @p195) :args (@t154 @t156 (@list @t155))) % 15.21/15.41 (step @p197 :rule eq-symm :args (@t72 @t3)) % 15.21/15.41 (step @p198 :rule refl :args (@t48)) % 15.21/15.41 (step @p199 :rule refl :args (@t73)) % 15.21/15.41 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197) :args (@t74)) % 15.21/15.41 (step @p201 :rule cong :premises (@p200) :args (@t75)) % 15.21/15.41 (step @p202 :rule eq_resolve :premises (@p99 @p201)) % 15.21/15.41 (step @p203 :rule instantiate :premises (@p202) :args ((@list tptp.sk3))) % 15.21/15.41 (step @p204 :rule eq-symm :args (@t41 @t3)) % 15.21/15.41 (step @p205 :rule refl :args (@t69)) % 15.21/15.41 (step @p206 :rule refl :args (@t60)) % 15.21/15.41 (step @p207 :rule nary_cong :premises (@p198 @p206 @p205 @p204) :args (@t70)) % 15.21/15.41 (step @p208 :rule cong :premises (@p207) :args (@t71)) % 15.21/15.41 (step @p209 :rule eq_resolve :premises (@p98 @p208)) % 15.21/15.41 (step @p210 :rule instantiate :premises (@p209) :args ((@list tptp.nil tptp.sk4))) % 15.21/15.41 (step @p211 :rule instantiate :premises (@p56) :args (@t157)) % 15.21/15.41 (step @p212 :rule cnf_or_pos :args (@t160)) % 15.21/15.41 (step @p213 :rule reordering :premises (@p212) :args ((or @t159 @t158 (not @t160)))) % 15.21/15.41 (step @p214 :rule chain_m_resolution :premises (@p213 @p183 @p211) :args (@t158 @t161 (@list @t145 @t160))) % 15.21/15.41 (assume-push @p390 @t148) % 15.21/15.41 (assume-push @p391 @t149) % 15.21/15.41 (assume-push @p392 @t158) % 15.21/15.41 (assume-push @p393 @t162) % 15.21/15.41 (assume-push @p394 @t158) % 15.21/15.41 (assume-push @p395 @t149) % 15.21/15.41 (assume-push @p396 @t162) % 15.21/15.41 (assume-push @p397 @t148) % 15.21/15.41 (step @p223 :rule true_intro :premises (@p214)) % 15.21/15.41 (step @p224 :rule symm :premises (@p393)) % 15.21/15.41 (step @p225 :rule symm :premises (@p187)) % 15.21/15.41 (step @p226 :rule trans :premises (@p225 @p224)) % 15.21/15.41 (step @p227 :rule symm :premises (@p188)) % 15.21/15.41 (step @p228 :rule cong :premises (@p227 @p226) :args (@t163)) % 15.21/15.41 (step @p229 :rule trans :premises (@p228 @p223)) % 15.21/15.41 (step @p230 :rule true_elim :premises (@p229)) % 15.21/15.41 (step-pop @p398 :rule scope :premises (@p230)) % 15.21/15.41 (step-pop @p399 :rule scope :premises (@p398)) % 15.21/15.41 (step-pop @p400 :rule scope :premises (@p399)) % 15.21/15.41 (step-pop @p401 :rule scope :premises (@p400)) % 15.21/15.41 (step @p231 :rule process_scope :premises (@p401) :args (@t163)) % 15.21/15.41 (step @p236 :rule and_intro :premises (@p214 @p188 @p393 @p187)) % 15.21/15.41 (step @p237 :rule modus_ponens :premises (@p236 @p231)) % 15.21/15.41 (step-pop @p402 :rule scope :premises (@p237)) % 15.21/15.41 (step-pop @p403 :rule scope :premises (@p402)) % 15.21/15.41 (step-pop @p404 :rule scope :premises (@p403)) % 15.21/15.41 (step-pop @p405 :rule scope :premises (@p404)) % 15.21/15.41 (step @p238 :rule process_scope :premises (@p405) :args (@t163)) % 15.21/15.41 (step @p243 :rule implies_elim :premises (@p238)) % 15.21/15.41 (step @p244 :rule cnf_and_neg :args (@t164)) % 15.21/15.41 (step @p245 :rule resolution :premises (@p244 @p243) :args (true @t164)) % 15.21/15.41 (step @p246 :rule reordering :premises (@p245) :args ((or @t167 @t166 @t163 (not @t158) @t165))) % 15.21/15.41 (step @p247 :rule refl :args (@t102)) % 15.21/15.41 (step @p248 :rule refl :args (@t103)) % 15.21/15.41 (step @p249 :rule nary_cong :premises (@p248 @p247 @p198 @p206 @p204) :args (@t104)) % 15.21/15.41 (step @p250 :rule cong :premises (@p249) :args (@t105)) % 15.21/15.41 (step @p251 :rule eq_resolve :premises (@p124 @p250)) % 15.21/15.41 (step @p252 :rule eq-symm :args (tptp.sk4 tptp.sk3)) % 15.21/15.41 (step @p253 :rule refl :args (@t168)) % 15.21/15.41 (step @p254 :rule refl :args (@t169)) % 15.21/15.41 (step @p255 :rule refl :args (@t170)) % 15.21/15.41 (step @p256 :rule refl :args (@t171)) % 15.21/15.41 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254 @p253 @p252) :args (@t172)) % 15.21/15.41 (step @p258 :rule refl :args (@t173)) % 15.21/15.41 (step @p259 :rule cong :premises (@p258 @p257) :args ((=> @t173 @t172))) % 15.21/15.41 (assume-push @p406 @t173) % 15.21/15.41 (step @p261 :rule instantiate :premises (@p251) :args ((@list tptp.sk4 tptp.sk3))) % 15.21/15.41 (step-pop @p407 :rule scope :premises (@p261)) % 15.21/15.41 (step @p262 :rule process_scope :premises (@p407) :args (@t172)) % 15.21/15.41 (step @p264 :rule eq_resolve :premises (@p262 @p259)) % 15.21/15.41 (step @p265 :rule implies_elim :premises (@p264)) % 15.21/15.41 (step @p266 :rule chain_m_resolution :premises (@p265 @p251) :args (@t175 @t156 (@list @t173))) % 15.21/15.41 (step @p267 :rule cnf_or_pos :args (@t175)) % 15.21/15.41 (step @p268 :rule reordering :premises (@p267) :args ((or @t168 @t169 @t171 @t170 @t174 (not @t175)))) % 15.21/15.41 (step @p269 :rule refl :args (@t176)) % 15.21/15.41 (step @p270 :rule refl :args (@t165)) % 15.21/15.41 (step @p271 :rule bool-double-not-elim :args (@t153)) % 15.21/15.41 (step @p272 :rule refl :args (@t166)) % 15.21/15.41 (step @p273 :rule refl :args (@t167)) % 15.21/15.41 (step @p274 :rule refl :args (@t177)) % 15.21/15.41 (step @p275 :rule nary_cong :premises (@p274 @p273 @p272 @p271 @p270 @p269) :args ((or @t177 @t167 @t166 @t178 @t165 @t176))) % 15.21/15.41 (assume-push @p408 @t1) % 15.21/15.41 (assume-push @p409 @t162) % 15.21/15.41 (assume-push @p410 @t148) % 15.21/15.41 (assume-push @p411 @t174) % 15.21/15.41 (assume-push @p412 @t149) % 15.21/15.41 (assume-push @p413 @t154) % 15.21/15.41 (step @p282 :rule evaluate :args (@t179)) % 15.21/15.41 (step @p283 :rule true_intro :premises (@p1)) % 15.21/15.41 (step @p284 :rule symm :premises (@p409)) % 15.21/15.41 (step @p225 :rule symm :premises (@p187)) % 15.21/15.41 (step @p285 :rule trans :premises (@p188 @p411 @p225 @p284)) % 15.21/15.41 (step @p286 :rule cong :premises (@p285) :args (@t153)) % 15.21/15.41 (step @p287 :rule false_intro :premises (@p196)) % 15.21/15.41 (step @p288 :rule symm :premises (@p287)) % 15.21/15.41 (step @p289 :rule trans :premises (@p288 @p286 @p283)) % 15.21/15.41 (step @p290 false :rule eq_resolve :premises (@p289 @p282)) % 15.21/15.41 (step-pop @p414 :rule scope :premises (@p290)) % 15.21/15.41 (step-pop @p415 :rule scope :premises (@p414)) % 15.21/15.41 (step-pop @p416 :rule scope :premises (@p415)) % 15.21/15.41 (step-pop @p417 :rule scope :premises (@p416)) % 15.21/15.41 (step-pop @p418 :rule scope :premises (@p417)) % 15.21/15.41 (step-pop @p419 :rule scope :premises (@p418)) % 15.21/15.41 (step @p291 :rule process_scope :premises (@p419) :args (false)) % 15.21/15.41 (assume-push @p420 @t1) % 15.21/15.41 (assume-push @p421 @t148) % 15.21/15.41 (assume-push @p422 @t149) % 15.21/15.41 (assume-push @p423 @t154) % 15.21/15.41 (assume-push @p424 @t162) % 15.21/15.41 (assume-push @p425 @t174) % 15.21/15.41 (step @p304 :rule and_intro :premises (@p1 @p424 @p187 @p425 @p188 @p196)) % 15.21/15.41 (step-pop @p426 :rule scope :premises (@p304)) % 15.21/15.41 (step-pop @p427 :rule scope :premises (@p426)) % 15.21/15.41 (step-pop @p428 :rule scope :premises (@p427)) % 15.21/15.41 (step-pop @p429 :rule scope :premises (@p428)) % 15.21/15.41 (step-pop @p430 :rule scope :premises (@p429)) % 15.21/15.41 (step-pop @p431 :rule scope :premises (@p430)) % 15.21/15.41 (step @p305 :rule process_scope :premises (@p431) :args (@t180)) % 15.21/15.41 (step @p312 :rule implies_elim :premises (@p305)) % 15.21/15.41 (step @p313 :rule resolution :premises (@p312 @p291) :args (true @t180)) % 15.21/15.41 (step @p314 :rule not_and :premises (@p313)) % 15.21/15.41 (step @p315 :rule eq_resolve :premises (@p314 @p275)) % 15.21/15.41 (step @p316 :rule reordering :premises (@p315) :args ((or @t153 @t177 @t167 @t166 @t165 @t176))) % 15.21/15.41 (step @p317 :rule chain_m_resolution :premises (@p316 @p196 @p188 @p187 @p1 @p268 @p266 @p189 @p186 @p185 @p246 @p214 @p188 @p187) :args (@t165 (@list true false false false false false false false false false false false false) (@list @t153 @t149 @t148 @t1 @t174 @t175 @t150 @t147 @t146 @t163 @t158 @t149 @t148))) % 15.21/15.41 (step @p318 :rule refl :args (@t182)) % 15.21/15.41 (step @p319 :rule bool-double-not-elim :args (@t162)) % 15.21/15.41 (step @p320 :rule nary_cong :premises (@p273 @p319 @p318) :args ((or @t167 (not @t165) @t182))) % 15.21/15.41 (assume-push @p432 @t148) % 15.21/15.41 (assume-push @p433 @t165) % 15.21/15.41 (assume-push @p434 @t165) % 15.21/15.41 (assume-push @p435 @t148) % 15.21/15.41 (step @p325 :rule false_intro :premises (@p433)) % 15.21/15.41 (step @p225 :rule symm :premises (@p187)) % 15.21/15.41 (step @p326 :rule refl :args (tptp.nil)) % 15.21/15.41 (step @p327 :rule cong :premises (@p326 @p225) :args (@t181)) % 15.21/15.41 (step @p328 :rule trans :premises (@p327 @p325)) % 15.21/15.41 (step @p329 :rule false_elim :premises (@p328)) % 15.21/15.41 (step-pop @p436 :rule scope :premises (@p329)) % 15.21/15.41 (step-pop @p437 :rule scope :premises (@p436)) % 15.21/15.41 (step @p330 :rule process_scope :premises (@p437) :args (@t182)) % 15.21/15.41 (step @p333 :rule and_intro :premises (@p433 @p187)) % 15.21/15.41 (step @p334 :rule modus_ponens :premises (@p333 @p330)) % 15.21/15.41 (step-pop @p438 :rule scope :premises (@p334)) % 15.21/15.41 (step-pop @p439 :rule scope :premises (@p438)) % 15.21/15.41 (step @p335 :rule process_scope :premises (@p439) :args (@t182)) % 15.21/15.41 (step @p338 :rule implies_elim :premises (@p335)) % 15.21/15.41 (step @p339 :rule cnf_and_neg :args (@t183)) % 15.21/15.41 (step @p340 :rule resolution :premises (@p339 @p338) :args (true @t183)) % 15.21/15.41 (step @p341 :rule eq_resolve :premises (@p340 @p320)) % 15.21/15.41 (step @p342 :rule chain_m_resolution :premises (@p341 @p187 @p317) :args (@t182 (@list false true) (@list @t148 @t162))) % 15.21/15.41 (step @p343 :rule cnf_or_pos :args (@t185)) % 15.21/15.41 (step @p344 :rule reordering :premises (@p343) :args ((or @t151 @t184 @t169 @t181 (not @t185)))) % 15.21/15.41 (step @p345 :rule chain_m_resolution :premises (@p344 @p8 @p186 @p342 @p210) :args (@t151 @t186 (@list @t2 @t147 @t181 @t185))) % 15.21/15.41 (step @p346 :rule chain_m_resolution :premises (@p190 @p345) :args (@t152 @t156 (@list @t151))) % 15.21/15.41 (step @p347 :rule cnf_or_pos :args (@t191)) % 15.21/15.41 (step @p348 :rule reordering :premises (@p347) :args ((or @t168 @t190 @t189 (not @t191)))) % 15.21/15.41 (step @p349 :rule chain_m_resolution :premises (@p348 @p185 @p346 @p203) :args (@t189 (@list false false false) (@list @t146 @t152 @t191))) % 15.21/15.41 (step @p350 :rule instantiate :premises (@p64) :args ((@list @t192))) % 15.21/15.41 (step @p351 :rule instantiate :premises (@p47) :args (@t157)) % 15.21/15.41 (step @p352 :rule cnf_or_pos :args (@t196)) % 15.21/15.41 (step @p353 :rule reordering :premises (@p352) :args ((or @t195 @t193 (not @t196)))) % 15.21/15.41 (step @p354 :rule chain_m_resolution :premises (@p353 @p351 @p350) :args (@t193 @t161 (@list @t194 @t196))) % 15.21/15.41 (step @p355 :rule refl :args (@t197)) % 15.21/15.41 (step @p356 :rule refl :args (@t198)) % 15.21/15.41 (step @p357 :rule nary_cong :premises (@p272 @p271 @p356 @p355) :args ((or @t166 @t178 @t198 @t197))) % 15.21/15.41 (assume-push @p440 @t193) % 15.21/15.41 (assume-push @p441 @t149) % 15.21/15.41 (assume-push @p442 @t189) % 15.21/15.41 (assume-push @p443 @t154) % 15.21/15.41 (step @p282 :rule evaluate :args (@t179)) % 15.21/15.41 (step @p362 :rule true_intro :premises (@p354)) % 15.21/15.41 (step @p326 :rule refl :args (tptp.nil)) % 15.21/15.41 (step @p227 :rule symm :premises (@p188)) % 15.21/15.41 (step @p363 :rule cong :premises (@p227) :args (@t187)) % 15.21/15.41 (step @p364 :rule cong :premises (@p363 @p326) :args (@t188)) % 15.21/15.41 (step @p365 :rule trans :premises (@p188 @p442 @p364)) % 15.21/15.41 (step @p366 :rule cong :premises (@p365) :args (@t153)) % 15.21/15.41 (step @p287 :rule false_intro :premises (@p196)) % 15.21/15.41 (step @p288 :rule symm :premises (@p287)) % 15.21/15.41 (step @p367 :rule trans :premises (@p288 @p366 @p362)) % 15.21/15.41 (step @p368 false :rule eq_resolve :premises (@p367 @p282)) % 15.21/15.41 (step-pop @p444 :rule scope :premises (@p368)) % 15.21/15.41 (step-pop @p445 :rule scope :premises (@p444)) % 15.21/15.41 (step-pop @p446 :rule scope :premises (@p445)) % 15.21/15.41 (step-pop @p447 :rule scope :premises (@p446)) % 15.21/15.41 (step @p369 :rule process_scope :premises (@p447) :args (false)) % 15.21/15.41 (assume-push @p448 @t149) % 15.21/15.41 (assume-push @p449 @t154) % 15.21/15.41 (assume-push @p450 @t189) % 15.21/15.41 (assume-push @p451 @t193) % 15.21/15.41 (step @p378 :rule and_intro :premises (@p354 @p188 @p450 @p196)) % 15.21/15.41 (step-pop @p452 :rule scope :premises (@p378)) % 15.21/15.41 (step-pop @p453 :rule scope :premises (@p452)) % 15.21/15.41 (step-pop @p454 :rule scope :premises (@p453)) % 15.21/15.41 (step-pop @p455 :rule scope :premises (@p454)) % 15.21/15.41 (step @p379 :rule process_scope :premises (@p455) :args (@t199)) % 15.21/15.41 (step @p384 :rule implies_elim :premises (@p379)) % 15.21/15.41 (step @p385 :rule resolution :premises (@p384 @p369) :args (true @t199)) % 15.21/15.41 (step @p386 :rule not_and :premises (@p385)) % 15.21/15.41 (step @p387 :rule eq_resolve :premises (@p386 @p357)) % 15.21/15.41 (step @p388 :rule reordering :premises (@p387) :args ((or @t153 @t166 @t198 @t197))) % 15.21/15.41 (step @p389 false :rule chain_m_resolution :premises (@p388 @p354 @p349 @p196 @p188) :args (false @t186 (@list @t193 @t189 @t153 @t149))) % 15.21/15.41 ) % 15.21/15.47 % SZS output end Proof % 15.21/15.47 % cvc5 exiting %------------------------------------------------------------------------------