%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC049-1 : 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 : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:50 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.91s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : SWC049-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n007.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 19:10:41 EDT 2026 % 0.17/0.36 % CPUTime : % 0.27/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.91 % SZS status Unsatisfiable % 0.38/0.91 % SZS output start Proof % 0.38/0.92 ( % 0.38/0.92 (declare-sort $$unsorted 0) % 0.38/0.92 (declare-const tptp.sk4 $$unsorted) % 0.38/0.92 (declare-const tptp.sk2 $$unsorted) % 0.38/0.92 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.nil $$unsorted) % 0.38/0.92 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.sk1 $$unsorted) % 0.38/0.92 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skac2 $$unsorted) % 0.38/0.92 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.sk3 $$unsorted) % 0.38/0.92 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skac3 $$unsorted) % 0.38/0.92 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.92 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/0.92 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.92 (define @t1 () (tptp.ssList tptp.nil)) % 0.38/0.92 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.92 (define @t3 () (tptp.skaf83 @t2)) % 0.38/0.92 (define @t4 () (@list @t2)) % 0.38/0.92 (define @t5 () (tptp.skaf82 @t2)) % 0.38/0.92 (define @t6 () (tptp.skaf81 @t2)) % 0.38/0.92 (define @t7 () (tptp.skaf80 @t2)) % 0.38/0.92 (define @t8 () (tptp.skaf79 @t2)) % 0.38/0.92 (define @t9 () (tptp.skaf78 @t2)) % 0.38/0.92 (define @t10 () (tptp.skaf77 @t2)) % 0.38/0.92 (define @t11 () (tptp.skaf76 @t2)) % 0.38/0.92 (define @t12 () (tptp.skaf75 @t2)) % 0.38/0.92 (define @t13 () (tptp.skaf74 @t2)) % 0.38/0.92 (define @t14 () (tptp.skaf73 @t2)) % 0.38/0.92 (define @t15 () (tptp.skaf72 @t2)) % 0.38/0.92 (define @t16 () (tptp.skaf71 @t2)) % 0.38/0.92 (define @t17 () (tptp.skaf70 @t2)) % 0.38/0.92 (define @t18 () (tptp.skaf69 @t2)) % 0.38/0.92 (define @t19 () (tptp.skaf68 @t2)) % 0.38/0.92 (define @t20 () (tptp.skaf67 @t2)) % 0.38/0.92 (define @t21 () (tptp.skaf66 @t2)) % 0.38/0.92 (define @t22 () (tptp.skaf65 @t2)) % 0.38/0.92 (define @t23 () (tptp.skaf64 @t2)) % 0.38/0.92 (define @t24 () (tptp.skaf63 @t2)) % 0.38/0.92 (define @t25 () (tptp.skaf62 @t2)) % 0.38/0.92 (define @t26 () (tptp.skaf61 @t2)) % 0.38/0.92 (define @t27 () (tptp.skaf60 @t2)) % 0.38/0.92 (define @t28 () (tptp.skaf59 @t2)) % 0.38/0.92 (define @t29 () (tptp.skaf58 @t2)) % 0.38/0.92 (define @t30 () (tptp.skaf57 @t2)) % 0.38/0.92 (define @t31 () (tptp.skaf56 @t2)) % 0.38/0.92 (define @t32 () (tptp.skaf55 @t2)) % 0.38/0.92 (define @t33 () (tptp.skaf54 @t2)) % 0.38/0.92 (define @t34 () (tptp.skaf53 @t2)) % 0.38/0.92 (define @t35 () (tptp.skaf52 @t2)) % 0.38/0.92 (define @t36 () (tptp.skaf51 @t2)) % 0.38/0.92 (define @t37 () (tptp.skaf50 @t2)) % 0.38/0.92 (define @t38 () (tptp.skaf49 @t2)) % 0.38/0.92 (define @t39 () (tptp.skaf44 @t2)) % 0.38/0.92 (define @t40 () (@var "V" $$unsorted)) % 0.38/0.92 (define @t41 () (@list @t2 @t40)) % 0.38/0.92 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.38/0.92 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.38/0.92 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.38/0.92 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.38/0.92 (define @t46 () (not (tptp.ssItem @t2))) % 0.38/0.92 (define @t47 () (not (tptp.ssList @t2))) % 0.38/0.92 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.38/0.92 (define @t49 () (tptp.ssItem @t40)) % 0.38/0.92 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.38/0.92 (define @t51 () (= tptp.nil @t2)) % 0.38/0.92 (define @t52 () (tptp.tl @t2)) % 0.38/0.92 (define @t53 () (tptp.hd @t2)) % 0.38/0.92 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 0.38/0.92 (define @t55 () (not @t51)) % 0.38/0.92 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 0.38/0.92 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 0.38/0.92 (define @t58 () (tptp.app @t40 @t2)) % 0.38/0.92 (define @t59 () (not (tptp.ssList @t40))) % 0.38/0.92 (define @t60 () (tptp.cons @t2 @t40)) % 0.38/0.92 (define @t61 () (tptp.cyclefreeP @t2)) % 0.38/0.92 (define @t62 () (tptp.equalelemsP @t2)) % 0.38/0.92 (define @t63 () (tptp.strictorderedP @t2)) % 0.38/0.92 (define @t64 () (tptp.totalorderedP @t2)) % 0.38/0.92 (define @t65 () (tptp.strictorderP @t2)) % 0.38/0.92 (define @t66 () (tptp.totalorderP @t2)) % 0.38/0.92 (define @t67 () (= @t40 @t2)) % 0.38/0.92 (define @t68 () (tptp.neq @t40 @t2)) % 0.38/0.92 (define @t69 () (or @t47 @t59 @t68 @t67)) % 0.38/0.92 (define @t70 () (forall @t41 @t69)) % 0.38/0.92 (define @t71 () (not @t49)) % 0.38/0.92 (define @t72 () (tptp.leq @t2 @t40)) % 0.38/0.92 (define @t73 () (tptp.lt @t2 @t40)) % 0.38/0.92 (define @t74 () (not @t73)) % 0.38/0.92 (define @t75 () (tptp.lt @t40 @t2)) % 0.38/0.92 (define @t76 () (not (tptp.gt @t2 @t40))) % 0.38/0.92 (define @t77 () (tptp.gt @t40 @t2)) % 0.38/0.92 (define @t78 () (tptp.leq @t40 @t2)) % 0.38/0.92 (define @t79 () (not (tptp.geq @t2 @t40))) % 0.38/0.92 (define @t80 () (tptp.geq @t40 @t2)) % 0.38/0.92 (define @t81 () (not @t72)) % 0.38/0.92 (define @t82 () (= @t2 @t40)) % 0.38/0.92 (define @t83 () (not @t82)) % 0.38/0.92 (define @t84 () (tptp.cons @t40 @t2)) % 0.38/0.92 (define @t85 () (not (tptp.neq @t2 @t40))) % 0.38/0.92 (define @t86 () (tptp.app @t2 @t40)) % 0.38/0.92 (define @t87 () (= @t86 tptp.nil)) % 0.38/0.92 (define @t88 () (not @t87)) % 0.38/0.92 (define @t89 () (= tptp.nil @t40)) % 0.38/0.92 (define @t90 () (tptp.hd @t40)) % 0.38/0.92 (define @t91 () (tptp.strictorderedP @t40)) % 0.38/0.92 (define @t92 () (tptp.strictorderedP @t60)) % 0.38/0.92 (define @t93 () (not @t92)) % 0.38/0.92 (define @t94 () (tptp.totalorderedP @t40)) % 0.38/0.92 (define @t95 () (tptp.totalorderedP @t60)) % 0.38/0.92 (define @t96 () (not @t95)) % 0.38/0.92 (define @t97 () (not (tptp.segmentP @t2 @t40))) % 0.38/0.92 (define @t98 () (not (tptp.rearsegP @t2 @t40))) % 0.38/0.92 (define @t99 () (not (tptp.frontsegP @t2 @t40))) % 0.38/0.92 (define @t100 () (not @t78)) % 0.38/0.92 (define @t101 () (tptp.tl @t40)) % 0.38/0.92 (define @t102 () (tptp.lt @t2 @t90)) % 0.38/0.92 (define @t103 () (tptp.leq @t2 @t90)) % 0.38/0.92 (define @t104 () (@var "W" $$unsorted)) % 0.38/0.92 (define @t105 () (tptp.app @t104 @t2)) % 0.38/0.92 (define @t106 () (not (tptp.ssList @t104))) % 0.38/0.92 (define @t107 () (@list @t2 @t40 @t104)) % 0.38/0.92 (define @t108 () (tptp.app @t2 @t104)) % 0.38/0.92 (define @t109 () (tptp.cons @t40 @t104)) % 0.38/0.92 (define @t110 () (tptp.cons @t104 @t2)) % 0.38/0.92 (define @t111 () (not (tptp.ssItem @t104))) % 0.38/0.92 (define @t112 () (not (tptp.memberP @t2 @t40))) % 0.38/0.92 (define @t113 () (not (= @t86 @t104))) % 0.38/0.92 (define @t114 () (tptp.lt @t2 @t104)) % 0.38/0.92 (define @t115 () (not (tptp.lt @t40 @t104))) % 0.38/0.92 (define @t116 () (tptp.app @t104 @t40)) % 0.38/0.92 (define @t117 () (= @t40 @t104)) % 0.38/0.92 (define @t118 () (= @t2 @t104)) % 0.38/0.92 (define @t119 () (tptp.memberP @t40 @t104)) % 0.38/0.92 (define @t120 () (@var "X" $$unsorted)) % 0.38/0.92 (define @t121 () (not (tptp.ssList @t120))) % 0.38/0.92 (define @t122 () (tptp.cons @t104 @t120)) % 0.38/0.92 (define @t123 () (not (= @t60 @t122))) % 0.38/0.92 (define @t124 () (@list @t2 @t40 @t104 @t120)) % 0.38/0.92 (define @t125 () (not (tptp.frontsegP @t60 @t122))) % 0.38/0.92 (define @t126 () (tptp.app @t2 @t109)) % 0.38/0.92 (define @t127 () (not (tptp.ssItem @t120))) % 0.38/0.92 (define @t128 () (@var "Y" $$unsorted)) % 0.38/0.92 (define @t129 () (not (tptp.ssList @t128))) % 0.38/0.92 (define @t130 () (@list @t2 @t40 @t104 @t120 @t128)) % 0.38/0.92 (define @t131 () (tptp.lt @t40 @t120)) % 0.38/0.92 (define @t132 () (@var "Z" $$unsorted)) % 0.38/0.92 (define @t133 () (not (tptp.ssList @t132))) % 0.38/0.92 (define @t134 () (not (= (tptp.app @t126 (tptp.cons @t120 @t128)) @t132))) % 0.38/0.92 (define @t135 () (@list @t2 @t40 @t104 @t120 @t128 @t132)) % 0.38/0.92 (define @t136 () (tptp.leq @t40 @t120)) % 0.38/0.92 (define @t137 () (tptp.ssList tptp.sk1)) % 0.38/0.92 (define @t138 () (tptp.ssList tptp.sk3)) % 0.38/0.92 (define @t139 () (tptp.ssList tptp.sk4)) % 0.38/0.92 (define @t140 () (= tptp.sk2 tptp.sk4)) % 0.38/0.92 (define @t141 () (= tptp.sk1 tptp.sk3)) % 0.38/0.92 (define @t142 () (@var "A" $$unsorted)) % 0.38/0.92 (define @t143 () (= tptp.nil tptp.sk4)) % 0.38/0.92 (define @t144 () (not @t143)) % 0.38/0.92 (define @t145 () (= tptp.nil tptp.sk3)) % 0.38/0.92 (define @t146 () (= tptp.nil tptp.sk1)) % 0.38/0.92 (define @t147 () (not @t146)) % 0.38/0.92 (define @t148 () (= tptp.nil tptp.sk2)) % 0.38/0.92 (define @t149 () (not @t148)) % 0.38/0.92 (define @t150 () (tptp.neq tptp.sk3 tptp.nil)) % 0.38/0.92 (define @t151 () (tptp.neq tptp.sk4 tptp.nil)) % 0.38/0.92 (define @t152 () (not @t151)) % 0.38/0.92 (define @t153 () (tptp.rearsegP tptp.sk4 tptp.sk3)) % 0.38/0.92 (define @t154 () (and @t140 @t148)) % 0.38/0.92 (define @t155 () (not @t140)) % 0.38/0.92 (define @t156 () (not @t145)) % 0.38/0.92 (define @t157 () (not @t141)) % 0.38/0.92 (define @t158 () (and @t141 @t147)) % 0.38/0.92 (define @t159 () (and @t140 @t149)) % 0.38/0.92 (define @t160 () (not @t139)) % 0.38/0.92 (define @t161 () (not @t1)) % 0.38/0.92 (define @t162 () (or @t161 @t160 @t151 @t143)) % 0.38/0.92 (define @t163 () (@list false)) % 0.38/0.92 (define @t164 () (@list @t151)) % 0.38/0.92 (define @t165 () (tptp.rearsegP tptp.sk1 tptp.sk1)) % 0.38/0.92 (define @t166 () (not @t137)) % 0.38/0.92 (define @t167 () (or @t166 @t165)) % 0.38/0.92 (define @t168 () (@list false false)) % 0.38/0.92 (define @t169 () (tptp.rearsegP tptp.sk1 tptp.sk3)) % 0.38/0.92 (define @t170 () (tptp.rearsegP tptp.sk2 tptp.sk3)) % 0.38/0.92 (define @t171 () (and @t140 @t153)) % 0.38/0.92 (define @t172 () (not @t169)) % 0.38/0.92 (define @t173 () (not @t170)) % 0.38/0.92 (define @t174 () (not @t150)) % 0.38/0.92 (define @t175 () (not @t138)) % 0.38/0.92 (define @t176 () (or @t175 @t174 @t173 @t172)) % 0.38/0.92 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.38/0.92 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.38/0.92 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.38/0.92 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.38/0.92 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.38/0.92 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.38/0.92 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.38/0.92 (assume @p8 @t1) % 0.38/0.92 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.38/0.92 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.38/0.92 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.38/0.92 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.38/0.92 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.38/0.92 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.38/0.92 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.38/0.92 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.38/0.92 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.38/0.92 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.38/0.92 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.38/0.92 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.38/0.92 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.38/0.92 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.38/0.92 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.38/0.92 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.38/0.92 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.38/0.92 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.38/0.92 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.38/0.92 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.38/0.92 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.38/0.92 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.38/0.92 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.38/0.92 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.38/0.92 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.38/0.92 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.38/0.92 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.38/0.92 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.38/0.92 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.38/0.92 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.38/0.92 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.38/0.92 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.38/0.92 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.38/0.92 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.38/0.92 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.38/0.92 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.38/0.92 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.38/0.92 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.38/0.92 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.38/0.92 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.38/0.92 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.38/0.92 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.38/0.92 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.38/0.92 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.38/0.92 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.38/0.92 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.38/0.92 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.38/0.92 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.38/0.92 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.38/0.92 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.38/0.92 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.38/0.92 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.38/0.92 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.38/0.92 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.38/0.92 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.38/0.92 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.38/0.92 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.38/0.92 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.38/0.92 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.38/0.92 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.38/0.92 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.38/0.92 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.38/0.92 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.38/0.92 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.38/0.92 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.38/0.92 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.38/0.92 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 0.38/0.92 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 0.38/0.92 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 0.38/0.92 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 0.38/0.92 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 0.38/0.92 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 0.38/0.92 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 0.38/0.92 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 0.38/0.92 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 0.38/0.92 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 0.38/0.92 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 0.38/0.92 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 0.38/0.92 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 0.38/0.92 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 0.38/0.92 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 0.38/0.92 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 0.38/0.92 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 0.38/0.92 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 0.38/0.92 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 0.38/0.92 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 0.38/0.92 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 0.38/0.92 (assume @p96 (forall @t41 (or (not (= @t60 tptp.nil)) @t46 @t59))) % 0.38/0.92 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 0.38/0.92 (assume @p98 @t70) % 0.38/0.92 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.38/0.92 (assume @p100 (forall @t41 (or @t46 @t71 @t68 @t67))) % 0.38/0.92 (assume @p101 (forall @t41 (or @t74 @t71 @t46 @t72))) % 0.38/0.92 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 0.38/0.92 (assume @p103 (forall @t41 (or @t76 @t71 @t46 @t75))) % 0.38/0.92 (assume @p104 (forall @t41 (or @t74 @t46 @t71 @t77))) % 0.38/0.92 (assume @p105 (forall @t41 (or @t79 @t71 @t46 @t78))) % 0.38/0.92 (assume @p106 (forall @t41 (or @t81 @t46 @t71 @t80))) % 0.38/0.92 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 0.38/0.92 (assume @p108 (forall @t41 (or @t76 (not @t77) @t46 @t71))) % 0.38/0.92 (assume @p109 (forall @t41 (or @t83 @t74 @t71 @t46))) % 0.38/0.92 (assume @p110 (forall @t41 (or @t55 @t47 @t71 (tptp.strictorderedP @t84)))) % 0.38/0.92 (assume @p111 (forall @t41 (or @t55 @t47 @t71 (tptp.totalorderedP @t84)))) % 0.38/0.92 (assume @p112 (forall @t41 (or @t74 (not @t75) @t46 @t71))) % 0.38/0.92 (assume @p113 (forall @t41 (or @t83 @t85 @t59 @t47))) % 0.38/0.92 (assume @p114 (forall @t41 (or (not (= @t48 @t40)) @t46 @t59 (tptp.singletonP @t40)))) % 0.38/0.92 (assume @p115 (forall @t41 (or @t83 @t85 @t71 @t46))) % 0.38/0.92 (assume @p116 (forall @t41 (or @t88 @t59 @t47 @t51))) % 0.38/0.92 (assume @p117 (forall @t41 (or @t88 @t59 @t47 @t89))) % 0.38/0.92 (assume @p118 (forall @t41 (or @t46 @t59 (= (tptp.app @t48 @t40) @t60)))) % 0.38/0.92 (assume @p119 (forall @t41 (or @t81 @t71 @t46 @t73 @t82))) % 0.38/0.92 (assume @p120 (forall @t41 (or @t47 @t59 @t89 (= (tptp.hd @t58) @t90)))) % 0.38/0.92 (assume @p121 (forall @t41 (or @t93 @t59 @t46 @t91 @t89))) % 0.38/0.92 (assume @p122 (forall @t41 (or @t96 @t59 @t46 @t94 @t89))) % 0.38/0.92 (assume @p123 (forall @t41 (or @t79 (not @t80) @t46 @t71 @t67))) % 0.38/0.92 (assume @p124 (forall @t41 (or @t97 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t67))) % 0.38/0.92 (assume @p125 (forall @t41 (or @t98 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t67))) % 0.38/0.92 (assume @p126 (forall @t41 (or @t99 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t67))) % 0.38/0.92 (assume @p127 (forall @t41 (or @t81 @t100 @t46 @t71 @t67))) % 0.38/0.92 (assume @p128 (forall @t41 (or @t98 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.38/0.92 (assume @p129 (forall @t41 (or @t99 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.38/0.92 (assume @p130 (forall @t41 (or @t47 @t59 @t89 (= (tptp.tl @t58) (tptp.app @t101 @t2))))) % 0.38/0.92 (assume @p131 (forall @t41 (or @t93 @t59 @t46 @t102 @t89))) % 0.38/0.92 (assume @p132 (forall @t41 (or @t96 @t59 @t46 @t103 @t89))) % 0.38/0.92 (assume @p133 (forall @t107 (or @t98 @t106 @t59 @t47 (tptp.rearsegP @t105 @t40)))) % 0.38/0.92 (assume @p134 (forall @t107 (or @t99 @t106 @t59 @t47 (tptp.frontsegP @t108 @t40)))) % 0.38/0.92 (assume @p135 (forall @t107 (or @t83 @t106 @t71 @t46 (tptp.memberP @t109 @t2)))) % 0.38/0.92 (assume @p136 (forall @t107 (or @t112 @t47 @t111 @t71 (tptp.memberP @t110 @t40)))) % 0.38/0.92 (assume @p137 (forall @t107 (or @t112 @t106 @t47 @t71 (tptp.memberP @t108 @t40)))) % 0.38/0.92 (assume @p138 (forall @t107 (or @t112 @t47 @t106 @t71 (tptp.memberP @t105 @t40)))) % 0.38/0.92 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.38/0.92 (assume @p140 (forall @t107 (or @t113 @t47 @t59 @t106 (tptp.rearsegP @t104 @t40)))) % 0.38/0.92 (assume @p141 (forall @t107 (or @t113 @t59 @t47 @t106 (tptp.frontsegP @t104 @t2)))) % 0.38/0.92 (assume @p142 (forall @t41 (or @t55 (not @t89) @t59 @t47 @t87))) % 0.38/0.92 (assume @p143 (forall @t107 (or @t76 (not (tptp.gt @t40 @t104)) @t111 @t71 @t46 (tptp.gt @t2 @t104)))) % 0.38/0.92 (assume @p144 (forall @t107 (or @t81 @t115 @t111 @t71 @t46 @t114))) % 0.38/0.92 (assume @p145 (forall @t107 (or @t79 (not (tptp.geq @t40 @t104)) @t111 @t71 @t46 (tptp.geq @t2 @t104)))) % 0.38/0.92 (assume @p146 (forall @t107 (or @t47 @t59 @t106 (= (tptp.app @t116 @t2) (tptp.app @t104 @t58))))) % 0.38/0.92 (assume @p147 (forall @t107 (or (not (= @t86 @t108)) @t59 @t47 @t106 @t117))) % 0.38/0.92 (assume @p148 (forall @t107 (or (not (= @t86 @t116)) @t47 @t59 @t106 @t118))) % 0.38/0.92 (assume @p149 (forall @t107 (or @t97 (not (tptp.segmentP @t40 @t104)) @t106 @t59 @t47 (tptp.segmentP @t2 @t104)))) % 0.38/0.92 (assume @p150 (forall @t107 (or @t98 (not (tptp.rearsegP @t40 @t104)) @t106 @t59 @t47 (tptp.rearsegP @t2 @t104)))) % 0.38/0.92 (assume @p151 (forall @t107 (or @t99 (not (tptp.frontsegP @t40 @t104)) @t106 @t59 @t47 (tptp.frontsegP @t2 @t104)))) % 0.38/0.92 (assume @p152 (forall @t107 (or @t74 @t115 @t111 @t71 @t46 @t114))) % 0.38/0.92 (assume @p153 (forall @t107 (or @t81 (not (tptp.leq @t40 @t104)) @t111 @t71 @t46 (tptp.leq @t2 @t104)))) % 0.38/0.92 (assume @p154 (forall @t107 (or @t46 @t59 @t106 (= (tptp.cons @t2 (tptp.app @t40 @t104)) (tptp.app @t60 @t104))))) % 0.38/0.92 (assume @p155 (forall @t107 (or (not (tptp.memberP @t86 @t104)) @t59 @t47 @t111 @t119 (tptp.memberP @t2 @t104)))) % 0.38/0.92 (assume @p156 (forall @t41 (or (not @t103) (not @t94) @t59 @t46 @t95 @t89))) % 0.38/0.92 (assume @p157 (forall @t41 (or (not @t102) (not @t91) @t59 @t46 @t92 @t89))) % 0.38/0.92 (assume @p158 (forall @t107 (or (not (tptp.memberP @t60 @t104)) @t59 @t46 @t111 @t119 (= @t104 @t2)))) % 0.38/0.92 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.38/0.92 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.38/0.92 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.38/0.92 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.38/0.92 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.38/0.92 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.38/0.92 (assume @p165 (forall @t41 (or @t97 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.38/0.92 (assume @p166 (forall @t41 (or @t112 @t71 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.38/0.92 (assume @p167 (forall @t124 (or @t123 @t111 @t46 @t121 @t59 @t118))) % 0.38/0.92 (assume @p168 (forall @t124 (or @t123 @t111 @t46 @t121 @t59 (= @t120 @t40)))) % 0.38/0.92 (assume @p169 (forall @t124 (or @t97 @t106 @t121 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t120 @t2) @t104) @t40)))) % 0.38/0.92 (assume @p170 (forall @t124 (or (not (= (tptp.app @t86 @t104) @t120)) @t106 @t47 @t59 @t121 (tptp.segmentP @t120 @t40)))) % 0.38/0.92 (assume @p171 (forall @t124 (or @t125 @t121 @t59 @t111 @t46 (tptp.frontsegP @t40 @t120)))) % 0.38/0.92 (assume @p172 (forall @t124 (or (not (= @t126 @t120)) @t106 @t47 @t71 @t121 (tptp.memberP @t120 @t40)))) % 0.38/0.92 (assume @p173 (forall @t124 (or @t125 @t121 @t59 @t111 @t46 @t118))) % 0.38/0.92 (assume @p174 (forall @t41 (or (not (= @t52 @t101)) (not (= @t53 @t90)) @t47 @t59 @t89 @t82 @t51))) % 0.38/0.92 (assume @p175 (forall @t124 (or @t99 (not (= @t104 @t120)) @t59 @t47 @t127 @t111 (tptp.frontsegP @t110 (tptp.cons @t120 @t40))))) % 0.38/0.92 (assume @p176 (forall @t130 (or (not (= (tptp.app @t126 (tptp.cons @t40 @t120)) @t128)) @t121 @t106 @t47 @t71 (not (tptp.duplicatefreeP @t128)) @t129))) % 0.38/0.92 (assume @p177 (forall @t130 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t122)) @t128)) @t121 @t47 @t111 @t71 (not (tptp.equalelemsP @t128)) @t129 @t117))) % 0.38/0.92 (assume @p178 (forall @t135 (or @t134 @t129 @t106 @t47 @t127 @t71 (not (tptp.strictorderedP @t132)) @t133 @t131))) % 0.38/0.92 (assume @p179 (forall @t135 (or @t134 @t129 @t106 @t47 @t127 @t71 (not (tptp.totalorderedP @t132)) @t133 @t136))) % 0.38/0.92 (assume @p180 (forall @t135 (or @t134 @t129 @t106 @t47 @t127 @t71 (not (tptp.strictorderP @t132)) @t133 @t131 (tptp.lt @t120 @t40)))) % 0.38/0.92 (assume @p181 (forall @t135 (or @t134 @t129 @t106 @t47 @t127 @t71 (not (tptp.totalorderP @t132)) @t133 @t136 (tptp.leq @t120 @t40)))) % 0.38/0.92 (assume @p182 (forall @t135 (or @t81 @t100 (not (= (tptp.app (tptp.app @t104 (tptp.cons @t2 @t120)) (tptp.cons @t40 @t128)) @t132)) @t129 @t121 @t106 @t71 @t46 (not (tptp.cyclefreeP @t132)) @t133))) % 0.38/0.92 (assume @p183 @t137) % 0.38/0.92 (assume @p184 (tptp.ssList tptp.sk2)) % 0.38/0.92 (assume @p185 @t138) % 0.38/0.92 (assume @p186 @t139) % 0.38/0.92 (assume @p187 @t140) % 0.38/0.92 (assume @p188 @t141) % 0.38/0.92 (assume @p189 (forall (@list @t142) (or (not (tptp.ssList @t142)) (not (tptp.neq @t142 tptp.nil)) (not (tptp.rearsegP tptp.sk2 @t142)) (not (tptp.rearsegP tptp.sk1 @t142))))) % 0.38/0.92 (assume @p190 (or @t145 @t144)) % 0.38/0.92 (assume @p191 (or @t149 @t147)) % 0.38/0.92 (assume @p192 (or @t152 @t150)) % 0.38/0.92 (assume @p193 (or @t152 @t153)) % 0.38/0.92 (step @p194 :rule eq-symm :args (@t40 @t2)) % 0.38/0.92 (step @p195 :rule refl :args (@t68)) % 0.38/0.92 (step @p196 :rule refl :args (@t59)) % 0.38/0.92 (step @p197 :rule refl :args (@t47)) % 0.38/0.92 (step @p198 :rule nary_cong :premises (@p197 @p196 @p195 @p194) :args (@t69)) % 0.38/0.92 (step @p199 :rule cong :premises (@p198) :args (@t70)) % 0.38/0.92 (step @p200 :rule eq_resolve :premises (@p98 @p199)) % 0.38/0.92 (step @p201 :rule instantiate :premises (@p200) :args ((@list tptp.nil tptp.sk4))) % 0.38/0.92 (assume-push @p313 @t140) % 0.38/0.92 (assume-push @p314 @t148) % 0.38/0.92 (assume-push @p315 @t140) % 0.38/0.92 (assume-push @p316 @t148) % 0.38/0.92 (step @p206 :rule trans :premises (@p314 @p187)) % 0.38/0.92 (step-pop @p317 :rule scope :premises (@p206)) % 0.38/0.92 (step-pop @p318 :rule scope :premises (@p317)) % 0.38/0.92 (step @p207 :rule process_scope :premises (@p318) :args (@t143)) % 0.38/0.92 (step @p210 :rule and_intro :premises (@p187 @p314)) % 0.38/0.92 (step @p211 :rule modus_ponens :premises (@p210 @p207)) % 0.38/0.92 (step-pop @p319 :rule scope :premises (@p211)) % 0.38/0.92 (step-pop @p320 :rule scope :premises (@p319)) % 0.38/0.92 (step @p212 :rule process_scope :premises (@p320) :args (@t143)) % 0.38/0.92 (step @p215 :rule implies_elim :premises (@p212)) % 0.38/0.92 (step @p216 :rule cnf_and_neg :args (@t154)) % 0.38/0.92 (step @p217 :rule resolution :premises (@p216 @p215) :args (true @t154)) % 0.38/0.92 (step @p218 :rule reordering :premises (@p217) :args ((or @t143 @t149 @t155))) % 0.38/0.92 (step @p219 :rule refl :args (@t156)) % 0.38/0.92 (step @p220 :rule bool-double-not-elim :args (@t146)) % 0.38/0.92 (step @p221 :rule refl :args (@t157)) % 0.38/0.92 (step @p222 :rule nary_cong :premises (@p221 @p220 @p219) :args ((or @t157 (not @t147) @t156))) % 0.38/0.92 (assume-push @p321 @t141) % 0.38/0.92 (assume-push @p322 @t147) % 0.38/0.92 (assume-push @p323 @t147) % 0.38/0.92 (assume-push @p324 @t141) % 0.38/0.92 (step @p227 :rule false_intro :premises (@p322)) % 0.38/0.92 (step @p228 :rule symm :premises (@p188)) % 0.38/0.92 (step @p229 :rule refl :args (tptp.nil)) % 0.38/0.92 (step @p230 :rule cong :premises (@p229 @p228) :args (@t145)) % 0.38/0.92 (step @p231 :rule trans :premises (@p230 @p227)) % 0.38/0.92 (step @p232 :rule false_elim :premises (@p231)) % 0.38/0.92 (step-pop @p325 :rule scope :premises (@p232)) % 0.38/0.92 (step-pop @p326 :rule scope :premises (@p325)) % 0.38/0.92 (step @p233 :rule process_scope :premises (@p326) :args (@t156)) % 0.38/0.92 (step @p236 :rule and_intro :premises (@p322 @p188)) % 0.38/0.92 (step @p237 :rule modus_ponens :premises (@p236 @p233)) % 0.38/0.92 (step-pop @p327 :rule scope :premises (@p237)) % 0.38/0.92 (step-pop @p328 :rule scope :premises (@p327)) % 0.38/0.92 (step @p238 :rule process_scope :premises (@p328) :args (@t156)) % 0.38/0.92 (step @p241 :rule implies_elim :premises (@p238)) % 0.38/0.92 (step @p242 :rule cnf_and_neg :args (@t158)) % 0.38/0.92 (step @p243 :rule resolution :premises (@p242 @p241) :args (true @t158)) % 0.38/0.92 (step @p244 :rule eq_resolve :premises (@p243 @p222)) % 0.38/0.92 (step @p245 :rule reordering :premises (@p244) :args ((or @t146 @t157 @t156))) % 0.38/0.92 (step @p246 :rule chain_m_resolution :premises (@p190 @p245 @p188 @p218 @p187 @p191) :args (@t149 (@list true false false false true) (@list @t145 @t141 @t143 @t140 @t146))) % 0.38/0.92 (step @p247 :rule refl :args (@t144)) % 0.38/0.92 (step @p248 :rule bool-double-not-elim :args (@t148)) % 0.38/0.92 (step @p249 :rule refl :args (@t155)) % 0.38/0.92 (step @p250 :rule nary_cong :premises (@p249 @p248 @p247) :args ((or @t155 (not @t149) @t144))) % 0.38/0.92 (assume-push @p329 @t140) % 0.38/0.92 (assume-push @p330 @t149) % 0.38/0.92 (assume-push @p331 @t149) % 0.38/0.92 (assume-push @p332 @t140) % 0.38/0.92 (step @p255 :rule false_intro :premises (@p330)) % 0.38/0.92 (step @p256 :rule symm :premises (@p187)) % 0.38/0.92 (step @p229 :rule refl :args (tptp.nil)) % 0.38/0.92 (step @p257 :rule cong :premises (@p229 @p256) :args (@t143)) % 0.38/0.92 (step @p258 :rule trans :premises (@p257 @p255)) % 0.38/0.92 (step @p259 :rule false_elim :premises (@p258)) % 0.38/0.92 (step-pop @p333 :rule scope :premises (@p259)) % 0.38/0.92 (step-pop @p334 :rule scope :premises (@p333)) % 0.38/0.92 (step @p260 :rule process_scope :premises (@p334) :args (@t144)) % 0.38/0.92 (step @p263 :rule and_intro :premises (@p330 @p187)) % 0.38/0.92 (step @p264 :rule modus_ponens :premises (@p263 @p260)) % 0.38/0.92 (step-pop @p335 :rule scope :premises (@p264)) % 0.38/0.92 (step-pop @p336 :rule scope :premises (@p335)) % 0.38/0.92 (step @p265 :rule process_scope :premises (@p336) :args (@t144)) % 0.38/0.92 (step @p268 :rule implies_elim :premises (@p265)) % 0.38/0.92 (step @p269 :rule cnf_and_neg :args (@t159)) % 0.38/0.92 (step @p270 :rule resolution :premises (@p269 @p268) :args (true @t159)) % 0.38/0.92 (step @p271 :rule eq_resolve :premises (@p270 @p250)) % 0.38/0.92 (step @p272 :rule reordering :premises (@p271) :args ((or @t144 @t148 @t155))) % 0.38/0.92 (step @p273 :rule chain_m_resolution :premises (@p272 @p246 @p187) :args (@t144 (@list true false) (@list @t148 @t140))) % 0.38/0.92 (step @p274 :rule cnf_or_pos :args (@t162)) % 0.38/0.92 (step @p275 :rule reordering :premises (@p274) :args ((or @t143 @t151 @t161 @t160 (not @t162)))) % 0.38/0.92 (step @p276 :rule chain_m_resolution :premises (@p275 @p273 @p8 @p186 @p201) :args (@t151 (@list true false false false) (@list @t143 @t1 @t139 @t162))) % 0.38/0.92 (step @p277 :rule chain_m_resolution :premises (@p192 @p276) :args (@t150 @t163 @t164)) % 0.38/0.92 (step @p278 :rule instantiate :premises (@p189) :args ((@list tptp.sk3))) % 0.38/0.92 (step @p279 :rule instantiate :premises (@p59) :args ((@list tptp.sk1))) % 0.38/0.92 (step @p280 :rule cnf_or_pos :args (@t167)) % 0.38/0.92 (step @p281 :rule reordering :premises (@p280) :args ((or @t166 @t165 (not @t167)))) % 0.38/0.92 (step @p282 :rule chain_m_resolution :premises (@p281 @p183 @p279) :args (@t165 @t168 (@list @t137 @t167))) % 0.38/0.92 (step @p283 :rule true_intro :premises (@p282)) % 0.38/0.92 (step @p228 :rule symm :premises (@p188)) % 0.38/0.92 (step @p284 :rule refl :args (tptp.sk1)) % 0.38/0.92 (step @p285 :rule cong :premises (@p284 @p228) :args (@t169)) % 0.38/0.92 (step @p286 :rule trans :premises (@p285 @p283)) % 0.38/0.92 (step @p287 :rule true_elim :premises (@p286)) % 0.38/0.92 (step @p288 :rule chain_m_resolution :premises (@p193 @p276) :args (@t153 @t163 @t164)) % 0.38/0.92 (assume-push @p337 @t140) % 0.38/0.92 (assume-push @p338 @t153) % 0.38/0.92 (assume-push @p339 @t153) % 0.38/0.92 (assume-push @p340 @t140) % 0.38/0.92 (step @p293 :rule true_intro :premises (@p338)) % 0.38/0.92 (step @p294 :rule refl :args (tptp.sk3)) % 0.38/0.92 (step @p295 :rule cong :premises (@p187 @p294) :args (@t170)) % 0.38/0.92 (step @p296 :rule trans :premises (@p295 @p293)) % 0.38/0.92 (step @p297 :rule true_elim :premises (@p296)) % 0.38/0.92 (step-pop @p341 :rule scope :premises (@p297)) % 0.38/0.92 (step-pop @p342 :rule scope :premises (@p341)) % 0.38/0.92 (step @p298 :rule process_scope :premises (@p342) :args (@t170)) % 0.38/0.92 (step @p301 :rule and_intro :premises (@p338 @p187)) % 0.38/0.92 (step @p302 :rule modus_ponens :premises (@p301 @p298)) % 0.38/0.92 (step-pop @p343 :rule scope :premises (@p302)) % 0.38/0.92 (step-pop @p344 :rule scope :premises (@p343)) % 0.38/0.92 (step @p303 :rule process_scope :premises (@p344) :args (@t170)) % 0.38/0.92 (step @p306 :rule implies_elim :premises (@p303)) % 0.38/0.92 (step @p307 :rule cnf_and_neg :args (@t171)) % 0.38/0.92 (step @p308 :rule resolution :premises (@p307 @p306) :args (true @t171)) % 0.38/0.92 (step @p309 :rule chain_m_resolution :premises (@p308 @p187 @p288) :args (@t170 @t168 (@list @t140 @t153))) % 0.38/0.92 (step @p310 :rule cnf_or_pos :args (@t176)) % 0.38/0.92 (step @p311 :rule reordering :premises (@p310) :args ((or @t175 @t174 @t173 @t172 (not @t176)))) % 0.38/0.92 (step @p312 false :rule chain_m_resolution :premises (@p311 @p309 @p287 @p278 @p277 @p185) :args (false (@list false false false false false) (@list @t170 @t169 @t176 @t150 @t138))) % 0.38/0.92 ) % 0.38/0.93 % SZS output end Proof % 0.38/0.93 % cvc5 exiting %------------------------------------------------------------------------------