%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC256-1 : 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 : n010.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 08:58:38 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.75s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC256-1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n010.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 19:33:40 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.75 % SZS status Unsatisfiable % 0.37/0.75 % SZS output start Proof % 0.37/0.76 ( % 0.37/0.76 (declare-sort $$unsorted 0) % 0.37/0.76 (declare-const tptp.sk5 $$unsorted) % 0.37/0.76 (declare-const tptp.sk4 $$unsorted) % 0.37/0.76 (declare-const tptp.sk2 $$unsorted) % 0.37/0.76 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.nil $$unsorted) % 0.37/0.76 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.sk1 $$unsorted) % 0.37/0.76 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skac2 $$unsorted) % 0.37/0.76 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.sk3 $$unsorted) % 0.37/0.76 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skac3 $$unsorted) % 0.37/0.76 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (define @t1 () (tptp.ssList tptp.nil)) % 0.37/0.76 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.76 (define @t3 () (tptp.skaf83 @t2)) % 0.37/0.76 (define @t4 () (@list @t2)) % 0.37/0.76 (define @t5 () (tptp.skaf82 @t2)) % 0.37/0.76 (define @t6 () (tptp.skaf81 @t2)) % 0.37/0.76 (define @t7 () (tptp.skaf80 @t2)) % 0.37/0.76 (define @t8 () (tptp.skaf79 @t2)) % 0.37/0.76 (define @t9 () (tptp.skaf78 @t2)) % 0.37/0.76 (define @t10 () (tptp.skaf77 @t2)) % 0.37/0.76 (define @t11 () (tptp.skaf76 @t2)) % 0.37/0.76 (define @t12 () (tptp.skaf75 @t2)) % 0.37/0.76 (define @t13 () (tptp.skaf74 @t2)) % 0.37/0.76 (define @t14 () (tptp.skaf73 @t2)) % 0.37/0.76 (define @t15 () (tptp.skaf72 @t2)) % 0.37/0.76 (define @t16 () (tptp.skaf71 @t2)) % 0.37/0.76 (define @t17 () (tptp.skaf70 @t2)) % 0.37/0.76 (define @t18 () (tptp.skaf69 @t2)) % 0.37/0.76 (define @t19 () (tptp.skaf68 @t2)) % 0.37/0.76 (define @t20 () (tptp.skaf67 @t2)) % 0.37/0.76 (define @t21 () (tptp.skaf66 @t2)) % 0.37/0.76 (define @t22 () (tptp.skaf65 @t2)) % 0.37/0.76 (define @t23 () (tptp.skaf64 @t2)) % 0.37/0.76 (define @t24 () (tptp.skaf63 @t2)) % 0.37/0.76 (define @t25 () (tptp.skaf62 @t2)) % 0.37/0.76 (define @t26 () (tptp.skaf61 @t2)) % 0.37/0.76 (define @t27 () (tptp.skaf60 @t2)) % 0.37/0.76 (define @t28 () (tptp.skaf59 @t2)) % 0.37/0.76 (define @t29 () (tptp.skaf58 @t2)) % 0.37/0.76 (define @t30 () (tptp.skaf57 @t2)) % 0.37/0.76 (define @t31 () (tptp.skaf56 @t2)) % 0.37/0.76 (define @t32 () (tptp.skaf55 @t2)) % 0.37/0.76 (define @t33 () (tptp.skaf54 @t2)) % 0.37/0.76 (define @t34 () (tptp.skaf53 @t2)) % 0.37/0.76 (define @t35 () (tptp.skaf52 @t2)) % 0.37/0.76 (define @t36 () (tptp.skaf51 @t2)) % 0.37/0.76 (define @t37 () (tptp.skaf50 @t2)) % 0.37/0.76 (define @t38 () (tptp.skaf49 @t2)) % 0.37/0.76 (define @t39 () (tptp.skaf44 @t2)) % 0.37/0.76 (define @t40 () (@var "V" $$unsorted)) % 0.37/0.76 (define @t41 () (@list @t2 @t40)) % 0.37/0.76 (define @t42 () (tptp.skaf47 @t2 @t40)) % 0.37/0.76 (define @t43 () (tptp.skaf46 @t2 @t40)) % 0.37/0.76 (define @t44 () (tptp.skaf45 @t2 @t40)) % 0.37/0.76 (define @t45 () (tptp.skaf42 @t2 @t40)) % 0.37/0.76 (define @t46 () (not (tptp.ssItem @t2))) % 0.37/0.76 (define @t47 () (not (tptp.ssList @t2))) % 0.37/0.76 (define @t48 () (tptp.cons @t2 tptp.nil)) % 0.37/0.76 (define @t49 () (tptp.ssItem @t40)) % 0.37/0.76 (define @t50 () (tptp.duplicatefreeP @t2)) % 0.37/0.76 (define @t51 () (= tptp.nil @t2)) % 0.37/0.76 (define @t52 () (tptp.tl @t2)) % 0.37/0.76 (define @t53 () (tptp.hd @t2)) % 0.37/0.76 (define @t54 () (tptp.segmentP tptp.nil @t2)) % 0.37/0.76 (define @t55 () (not @t51)) % 0.37/0.76 (define @t56 () (tptp.rearsegP tptp.nil @t2)) % 0.37/0.76 (define @t57 () (tptp.frontsegP tptp.nil @t2)) % 0.37/0.76 (define @t58 () (tptp.app @t40 @t2)) % 0.37/0.76 (define @t59 () (not (tptp.ssList @t40))) % 0.37/0.76 (define @t60 () (tptp.cons @t2 @t40)) % 0.37/0.76 (define @t61 () (tptp.cyclefreeP @t2)) % 0.37/0.76 (define @t62 () (tptp.equalelemsP @t2)) % 0.37/0.76 (define @t63 () (tptp.strictorderedP @t2)) % 0.37/0.76 (define @t64 () (tptp.totalorderedP @t2)) % 0.37/0.76 (define @t65 () (tptp.strictorderP @t2)) % 0.37/0.76 (define @t66 () (tptp.totalorderP @t2)) % 0.37/0.76 (define @t67 () (= @t40 @t2)) % 0.37/0.76 (define @t68 () (tptp.neq @t40 @t2)) % 0.37/0.76 (define @t69 () (not @t49)) % 0.37/0.76 (define @t70 () (tptp.leq @t2 @t40)) % 0.37/0.76 (define @t71 () (tptp.lt @t2 @t40)) % 0.37/0.76 (define @t72 () (not @t71)) % 0.37/0.76 (define @t73 () (tptp.lt @t40 @t2)) % 0.37/0.76 (define @t74 () (not (tptp.gt @t2 @t40))) % 0.37/0.76 (define @t75 () (tptp.gt @t40 @t2)) % 0.37/0.76 (define @t76 () (tptp.leq @t40 @t2)) % 0.37/0.76 (define @t77 () (not (tptp.geq @t2 @t40))) % 0.37/0.76 (define @t78 () (tptp.geq @t40 @t2)) % 0.37/0.76 (define @t79 () (not @t70)) % 0.37/0.76 (define @t80 () (= @t2 @t40)) % 0.37/0.76 (define @t81 () (not @t80)) % 0.37/0.76 (define @t82 () (tptp.cons @t40 @t2)) % 0.37/0.76 (define @t83 () (not (tptp.neq @t2 @t40))) % 0.37/0.76 (define @t84 () (or @t81 @t83 @t59 @t47)) % 0.37/0.76 (define @t85 () (forall @t41 @t84)) % 0.37/0.76 (define @t86 () (tptp.singletonP @t40)) % 0.37/0.76 (define @t87 () (not (= @t48 @t40))) % 0.37/0.76 (define @t88 () (or @t87 @t46 @t59 @t86)) % 0.37/0.76 (define @t89 () (forall @t41 @t88)) % 0.37/0.76 (define @t90 () (tptp.app @t2 @t40)) % 0.37/0.76 (define @t91 () (= @t90 tptp.nil)) % 0.37/0.76 (define @t92 () (not @t91)) % 0.37/0.76 (define @t93 () (= tptp.nil @t40)) % 0.37/0.76 (define @t94 () (tptp.hd @t40)) % 0.37/0.76 (define @t95 () (tptp.strictorderedP @t40)) % 0.37/0.76 (define @t96 () (tptp.strictorderedP @t60)) % 0.37/0.76 (define @t97 () (not @t96)) % 0.37/0.76 (define @t98 () (tptp.totalorderedP @t40)) % 0.37/0.76 (define @t99 () (tptp.totalorderedP @t60)) % 0.37/0.76 (define @t100 () (not @t99)) % 0.37/0.76 (define @t101 () (not (tptp.segmentP @t2 @t40))) % 0.37/0.76 (define @t102 () (not (tptp.rearsegP @t2 @t40))) % 0.37/0.76 (define @t103 () (not (tptp.frontsegP @t2 @t40))) % 0.37/0.76 (define @t104 () (not @t76)) % 0.37/0.76 (define @t105 () (tptp.tl @t40)) % 0.37/0.76 (define @t106 () (tptp.lt @t2 @t94)) % 0.37/0.76 (define @t107 () (tptp.leq @t2 @t94)) % 0.37/0.76 (define @t108 () (@var "W" $$unsorted)) % 0.37/0.76 (define @t109 () (tptp.app @t108 @t2)) % 0.37/0.76 (define @t110 () (not (tptp.ssList @t108))) % 0.37/0.76 (define @t111 () (@list @t2 @t40 @t108)) % 0.37/0.76 (define @t112 () (tptp.app @t2 @t108)) % 0.37/0.76 (define @t113 () (tptp.cons @t40 @t108)) % 0.37/0.76 (define @t114 () (tptp.cons @t108 @t2)) % 0.37/0.76 (define @t115 () (not (tptp.ssItem @t108))) % 0.37/0.76 (define @t116 () (not (tptp.memberP @t2 @t40))) % 0.37/0.76 (define @t117 () (not (= @t90 @t108))) % 0.37/0.76 (define @t118 () (tptp.lt @t2 @t108)) % 0.37/0.76 (define @t119 () (not (tptp.lt @t40 @t108))) % 0.37/0.76 (define @t120 () (tptp.app @t108 @t40)) % 0.37/0.76 (define @t121 () (= @t40 @t108)) % 0.37/0.76 (define @t122 () (= @t2 @t108)) % 0.37/0.76 (define @t123 () (tptp.memberP @t40 @t108)) % 0.37/0.76 (define @t124 () (@var "X" $$unsorted)) % 0.37/0.76 (define @t125 () (not (tptp.ssList @t124))) % 0.37/0.76 (define @t126 () (tptp.cons @t108 @t124)) % 0.37/0.76 (define @t127 () (not (= @t60 @t126))) % 0.37/0.76 (define @t128 () (@list @t2 @t40 @t108 @t124)) % 0.37/0.76 (define @t129 () (not (tptp.frontsegP @t60 @t126))) % 0.37/0.76 (define @t130 () (tptp.app @t2 @t113)) % 0.37/0.76 (define @t131 () (not (tptp.ssItem @t124))) % 0.37/0.76 (define @t132 () (@var "Y" $$unsorted)) % 0.37/0.76 (define @t133 () (not (tptp.ssList @t132))) % 0.37/0.76 (define @t134 () (@list @t2 @t40 @t108 @t124 @t132)) % 0.37/0.76 (define @t135 () (tptp.lt @t40 @t124)) % 0.37/0.76 (define @t136 () (@var "Z" $$unsorted)) % 0.37/0.76 (define @t137 () (not (tptp.ssList @t136))) % 0.37/0.76 (define @t138 () (not (= (tptp.app @t130 (tptp.cons @t124 @t132)) @t136))) % 0.37/0.76 (define @t139 () (@list @t2 @t40 @t108 @t124 @t132 @t136)) % 0.37/0.76 (define @t140 () (tptp.leq @t40 @t124)) % 0.37/0.76 (define @t141 () (tptp.ssList tptp.sk1)) % 0.37/0.76 (define @t142 () (= tptp.sk2 tptp.sk4)) % 0.37/0.76 (define @t143 () (= tptp.sk1 tptp.sk3)) % 0.37/0.76 (define @t144 () (tptp.neq tptp.sk2 tptp.nil)) % 0.37/0.76 (define @t145 () (tptp.singletonP tptp.sk1)) % 0.37/0.76 (define @t146 () (not @t145)) % 0.37/0.76 (define @t147 () (= tptp.nil tptp.sk4)) % 0.37/0.76 (define @t148 () (tptp.ssItem tptp.sk5)) % 0.37/0.76 (define @t149 () (= tptp.nil tptp.sk3)) % 0.37/0.76 (define @t150 () (tptp.cons tptp.sk5 tptp.nil)) % 0.37/0.76 (define @t151 () (= @t150 tptp.sk3)) % 0.37/0.76 (define @t152 () (or @t151 @t147)) % 0.37/0.76 (define @t153 () (tptp.memberP tptp.sk4 tptp.sk5)) % 0.37/0.76 (define @t154 () (not (tptp.neq @t40 @t40))) % 0.37/0.76 (define @t155 () (not (= @t40 @t40))) % 0.37/0.76 (define @t156 () (or @t155 @t154 @t59 @t59)) % 0.37/0.76 (define @t157 () (@list @t40)) % 0.37/0.76 (define @t158 () (or @t81 @t81 @t83 @t59 @t47)) % 0.37/0.76 (define @t159 () (forall @t4 @t84)) % 0.37/0.76 (define @t160 () (forall @t157 @t159)) % 0.37/0.76 (define @t161 () (forall (@list @t40 @t2) @t84)) % 0.37/0.76 (define @t162 () (not @t1)) % 0.37/0.76 (define @t163 () (tptp.neq tptp.nil tptp.nil)) % 0.37/0.76 (define @t164 () (not @t163)) % 0.37/0.76 (define @t165 () (or @t164 @t162)) % 0.37/0.76 (define @t166 () (not @t147)) % 0.37/0.76 (define @t167 () (not @t144)) % 0.37/0.76 (define @t168 () (not @t142)) % 0.37/0.76 (define @t169 () (and @t144 @t142 @t147 @t164)) % 0.37/0.76 (define @t170 () (@list true)) % 0.37/0.76 (define @t171 () (@list @t147)) % 0.37/0.76 (define @t172 () (tptp.singletonP @t48)) % 0.37/0.76 (define @t173 () (not (tptp.ssList @t48))) % 0.37/0.76 (define @t174 () (not (= @t48 @t48))) % 0.37/0.76 (define @t175 () (or @t174 @t46 @t173 @t172)) % 0.37/0.76 (define @t176 () (not (= @t40 @t48))) % 0.37/0.76 (define @t177 () (or @t176 @t176 @t46 @t59 @t86)) % 0.37/0.76 (define @t178 () (or @t176 @t46 @t59 @t86)) % 0.37/0.76 (define @t179 () (forall @t157 @t178)) % 0.37/0.76 (define @t180 () (forall @t4 @t179)) % 0.37/0.76 (define @t181 () (= tptp.sk3 @t150)) % 0.37/0.76 (define @t182 () (tptp.singletonP @t150)) % 0.37/0.76 (define @t183 () (not @t182)) % 0.37/0.76 (define @t184 () (not @t181)) % 0.37/0.76 (define @t185 () (not @t143)) % 0.37/0.76 (define @t186 () (and @t143 @t146 @t181)) % 0.37/0.76 (define @t187 () (tptp.ssList @t150)) % 0.37/0.76 (define @t188 () (and @t141 @t143 @t181)) % 0.37/0.76 (define @t189 () (not @t187)) % 0.37/0.76 (define @t190 () (not @t148)) % 0.37/0.76 (define @t191 () (or @t190 @t189 @t182)) % 0.37/0.76 (assume @p1 (tptp.equalelemsP tptp.nil)) % 0.37/0.76 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.76 (assume @p3 (tptp.strictorderedP tptp.nil)) % 0.37/0.76 (assume @p4 (tptp.totalorderedP tptp.nil)) % 0.37/0.76 (assume @p5 (tptp.strictorderP tptp.nil)) % 0.37/0.76 (assume @p6 (tptp.totalorderP tptp.nil)) % 0.37/0.76 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 0.37/0.76 (assume @p8 @t1) % 0.37/0.76 (assume @p9 (tptp.ssItem tptp.skac3)) % 0.37/0.76 (assume @p10 (tptp.ssItem tptp.skac2)) % 0.37/0.76 (assume @p11 (not (tptp.singletonP tptp.nil))) % 0.37/0.76 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 0.37/0.76 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 0.37/0.76 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 0.37/0.76 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 0.37/0.76 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 0.37/0.76 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 0.37/0.76 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 0.37/0.76 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 0.37/0.76 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 0.37/0.76 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 0.37/0.76 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 0.37/0.76 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 0.37/0.76 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 0.37/0.76 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 0.37/0.76 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 0.37/0.76 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 0.37/0.76 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 0.37/0.76 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 0.37/0.76 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 0.37/0.76 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 0.37/0.76 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 0.37/0.76 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 0.37/0.76 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 0.37/0.76 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 0.37/0.76 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 0.37/0.76 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 0.37/0.76 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 0.37/0.76 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 0.37/0.76 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 0.37/0.76 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 0.37/0.76 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 0.37/0.76 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 0.37/0.76 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 0.37/0.76 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 0.37/0.76 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 0.37/0.76 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 0.37/0.76 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 0.37/0.76 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 0.37/0.76 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 0.37/0.76 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 0.37/0.76 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 0.37/0.76 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 0.37/0.76 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 0.37/0.76 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 0.37/0.76 (assume @p56 (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.76 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 0.37/0.76 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.76 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 0.37/0.76 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.76 (assume @p61 (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 0.37/0.76 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 0.37/0.76 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 0.37/0.76 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t48)))) % 0.37/0.76 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t48)))) % 0.37/0.76 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t48)))) % 0.37/0.76 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t48)))) % 0.37/0.76 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t48)))) % 0.37/0.76 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t48)))) % 0.37/0.76 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t48)))) % 0.37/0.76 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 0.37/0.76 (assume @p72 (forall @t41 (or @t47 @t50 @t49))) % 0.37/0.76 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.76 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.76 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t52) @t51))) % 0.37/0.76 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t53) @t51))) % 0.37/0.76 (assume @p77 (forall @t4 (or @t55 @t47 @t54))) % 0.37/0.76 (assume @p78 (forall @t4 (or (not @t54) @t47 @t51))) % 0.37/0.76 (assume @p79 (forall @t4 (or @t55 @t47 @t56))) % 0.37/0.76 (assume @p80 (forall @t4 (or (not @t56) @t47 @t51))) % 0.37/0.76 (assume @p81 (forall @t4 (or @t55 @t47 @t57))) % 0.37/0.76 (assume @p82 (forall @t4 (or (not @t57) @t47 @t51))) % 0.37/0.76 (assume @p83 (forall @t41 (or @t47 @t59 (tptp.ssList @t58)))) % 0.37/0.76 (assume @p84 (forall @t41 (or @t46 @t59 (tptp.ssList @t60)))) % 0.37/0.76 (assume @p85 (forall @t4 (or @t47 @t61 (tptp.leq @t37 @t38)))) % 0.37/0.76 (assume @p86 (forall @t4 (or @t47 @t61 (tptp.leq @t38 @t37)))) % 0.37/0.76 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t62))) % 0.37/0.76 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t63))) % 0.37/0.76 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t64))) % 0.37/0.76 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t65))) % 0.37/0.76 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t65))) % 0.37/0.76 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t66))) % 0.37/0.76 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t66))) % 0.37/0.76 (assume @p94 (forall @t41 (or @t46 @t59 (= (tptp.tl @t60) @t40)))) % 0.37/0.76 (assume @p95 (forall @t41 (or @t46 @t59 (= (tptp.hd @t60) @t2)))) % 0.37/0.76 (assume @p96 (forall @t41 (or (not (= @t60 tptp.nil)) @t46 @t59))) % 0.37/0.76 (assume @p97 (forall @t41 (or (not (= @t60 @t40)) @t46 @t59))) % 0.37/0.76 (assume @p98 (forall @t41 (or @t47 @t59 @t68 @t67))) % 0.37/0.76 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 0.37/0.76 (assume @p100 (forall @t41 (or @t46 @t69 @t68 @t67))) % 0.37/0.76 (assume @p101 (forall @t41 (or @t72 @t69 @t46 @t70))) % 0.37/0.76 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t53 @t52) @t2) @t51))) % 0.37/0.76 (assume @p103 (forall @t41 (or @t74 @t69 @t46 @t73))) % 0.37/0.76 (assume @p104 (forall @t41 (or @t72 @t46 @t69 @t75))) % 0.37/0.76 (assume @p105 (forall @t41 (or @t77 @t69 @t46 @t76))) % 0.37/0.76 (assume @p106 (forall @t41 (or @t79 @t46 @t69 @t78))) % 0.37/0.76 (assume @p107 (forall @t4 (or @t47 (= (tptp.cons @t3 @t5) @t2) @t51))) % 0.37/0.76 (assume @p108 (forall @t41 (or @t74 (not @t75) @t46 @t69))) % 0.37/0.76 (assume @p109 (forall @t41 (or @t81 @t72 @t69 @t46))) % 0.37/0.76 (assume @p110 (forall @t41 (or @t55 @t47 @t69 (tptp.strictorderedP @t82)))) % 0.37/0.76 (assume @p111 (forall @t41 (or @t55 @t47 @t69 (tptp.totalorderedP @t82)))) % 0.37/0.76 (assume @p112 (forall @t41 (or @t72 (not @t73) @t46 @t69))) % 0.37/0.76 (assume @p113 @t85) % 0.37/0.76 (assume @p114 @t89) % 0.37/0.76 (assume @p115 (forall @t41 (or @t81 @t83 @t69 @t46))) % 0.37/0.76 (assume @p116 (forall @t41 (or @t92 @t59 @t47 @t51))) % 0.37/0.76 (assume @p117 (forall @t41 (or @t92 @t59 @t47 @t93))) % 0.37/0.76 (assume @p118 (forall @t41 (or @t46 @t59 (= (tptp.app @t48 @t40) @t60)))) % 0.37/0.76 (assume @p119 (forall @t41 (or @t79 @t69 @t46 @t71 @t80))) % 0.37/0.76 (assume @p120 (forall @t41 (or @t47 @t59 @t93 (= (tptp.hd @t58) @t94)))) % 0.37/0.76 (assume @p121 (forall @t41 (or @t97 @t59 @t46 @t95 @t93))) % 0.37/0.76 (assume @p122 (forall @t41 (or @t100 @t59 @t46 @t98 @t93))) % 0.37/0.76 (assume @p123 (forall @t41 (or @t77 (not @t78) @t46 @t69 @t67))) % 0.37/0.76 (assume @p124 (forall @t41 (or @t101 (not (tptp.segmentP @t40 @t2)) @t47 @t59 @t67))) % 0.37/0.76 (assume @p125 (forall @t41 (or @t102 (not (tptp.rearsegP @t40 @t2)) @t47 @t59 @t67))) % 0.37/0.76 (assume @p126 (forall @t41 (or @t103 (not (tptp.frontsegP @t40 @t2)) @t47 @t59 @t67))) % 0.37/0.76 (assume @p127 (forall @t41 (or @t79 @t104 @t46 @t69 @t67))) % 0.37/0.76 (assume @p128 (forall @t41 (or @t102 @t59 @t47 (= (tptp.app @t43 @t40) @t2)))) % 0.37/0.76 (assume @p129 (forall @t41 (or @t103 @t59 @t47 (= (tptp.app @t40 @t44) @t2)))) % 0.37/0.76 (assume @p130 (forall @t41 (or @t47 @t59 @t93 (= (tptp.tl @t58) (tptp.app @t105 @t2))))) % 0.37/0.76 (assume @p131 (forall @t41 (or @t97 @t59 @t46 @t106 @t93))) % 0.37/0.76 (assume @p132 (forall @t41 (or @t100 @t59 @t46 @t107 @t93))) % 0.37/0.76 (assume @p133 (forall @t111 (or @t102 @t110 @t59 @t47 (tptp.rearsegP @t109 @t40)))) % 0.37/0.76 (assume @p134 (forall @t111 (or @t103 @t110 @t59 @t47 (tptp.frontsegP @t112 @t40)))) % 0.37/0.76 (assume @p135 (forall @t111 (or @t81 @t110 @t69 @t46 (tptp.memberP @t113 @t2)))) % 0.37/0.76 (assume @p136 (forall @t111 (or @t116 @t47 @t115 @t69 (tptp.memberP @t114 @t40)))) % 0.37/0.76 (assume @p137 (forall @t111 (or @t116 @t110 @t47 @t69 (tptp.memberP @t112 @t40)))) % 0.37/0.76 (assume @p138 (forall @t111 (or @t116 @t47 @t110 @t69 (tptp.memberP @t109 @t40)))) % 0.37/0.76 (assume @p139 (forall @t4 (or @t47 @t62 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 0.37/0.76 (assume @p140 (forall @t111 (or @t117 @t47 @t59 @t110 (tptp.rearsegP @t108 @t40)))) % 0.37/0.76 (assume @p141 (forall @t111 (or @t117 @t59 @t47 @t110 (tptp.frontsegP @t108 @t2)))) % 0.37/0.76 (assume @p142 (forall @t41 (or @t55 (not @t93) @t59 @t47 @t91))) % 0.37/0.76 (assume @p143 (forall @t111 (or @t74 (not (tptp.gt @t40 @t108)) @t115 @t69 @t46 (tptp.gt @t2 @t108)))) % 0.37/0.76 (assume @p144 (forall @t111 (or @t79 @t119 @t115 @t69 @t46 @t118))) % 0.37/0.76 (assume @p145 (forall @t111 (or @t77 (not (tptp.geq @t40 @t108)) @t115 @t69 @t46 (tptp.geq @t2 @t108)))) % 0.37/0.76 (assume @p146 (forall @t111 (or @t47 @t59 @t110 (= (tptp.app @t120 @t2) (tptp.app @t108 @t58))))) % 0.37/0.76 (assume @p147 (forall @t111 (or (not (= @t90 @t112)) @t59 @t47 @t110 @t121))) % 0.37/0.76 (assume @p148 (forall @t111 (or (not (= @t90 @t120)) @t47 @t59 @t110 @t122))) % 0.37/0.76 (assume @p149 (forall @t111 (or @t101 (not (tptp.segmentP @t40 @t108)) @t110 @t59 @t47 (tptp.segmentP @t2 @t108)))) % 0.37/0.76 (assume @p150 (forall @t111 (or @t102 (not (tptp.rearsegP @t40 @t108)) @t110 @t59 @t47 (tptp.rearsegP @t2 @t108)))) % 0.37/0.76 (assume @p151 (forall @t111 (or @t103 (not (tptp.frontsegP @t40 @t108)) @t110 @t59 @t47 (tptp.frontsegP @t2 @t108)))) % 0.37/0.76 (assume @p152 (forall @t111 (or @t72 @t119 @t115 @t69 @t46 @t118))) % 0.37/0.76 (assume @p153 (forall @t111 (or @t79 (not (tptp.leq @t40 @t108)) @t115 @t69 @t46 (tptp.leq @t2 @t108)))) % 0.37/0.76 (assume @p154 (forall @t111 (or @t46 @t59 @t110 (= (tptp.cons @t2 (tptp.app @t40 @t108)) (tptp.app @t60 @t108))))) % 0.37/0.76 (assume @p155 (forall @t111 (or (not (tptp.memberP @t90 @t108)) @t59 @t47 @t115 @t123 (tptp.memberP @t2 @t108)))) % 0.37/0.76 (assume @p156 (forall @t41 (or (not @t107) (not @t98) @t59 @t46 @t99 @t93))) % 0.37/0.76 (assume @p157 (forall @t41 (or (not @t106) (not @t95) @t59 @t46 @t96 @t93))) % 0.37/0.76 (assume @p158 (forall @t111 (or (not (tptp.memberP @t60 @t108)) @t59 @t46 @t115 @t123 (= @t108 @t2)))) % 0.37/0.76 (assume @p159 (forall @t4 (or @t47 @t50 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 0.37/0.76 (assume @p160 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 0.37/0.76 (assume @p161 (forall @t4 (or @t47 @t64 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 0.37/0.76 (assume @p162 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 0.37/0.76 (assume @p163 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 0.37/0.76 (assume @p164 (forall @t4 (or @t47 @t61 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 0.37/0.76 (assume @p165 (forall @t41 (or @t101 @t59 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 0.37/0.76 (assume @p166 (forall @t41 (or @t116 @t69 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 0.37/0.76 (assume @p167 (forall @t128 (or @t127 @t115 @t46 @t125 @t59 @t122))) % 0.37/0.76 (assume @p168 (forall @t128 (or @t127 @t115 @t46 @t125 @t59 (= @t124 @t40)))) % 0.37/0.76 (assume @p169 (forall @t128 (or @t101 @t110 @t125 @t59 @t47 (tptp.segmentP (tptp.app (tptp.app @t124 @t2) @t108) @t40)))) % 0.37/0.76 (assume @p170 (forall @t128 (or (not (= (tptp.app @t90 @t108) @t124)) @t110 @t47 @t59 @t125 (tptp.segmentP @t124 @t40)))) % 0.37/0.76 (assume @p171 (forall @t128 (or @t129 @t125 @t59 @t115 @t46 (tptp.frontsegP @t40 @t124)))) % 0.37/0.76 (assume @p172 (forall @t128 (or (not (= @t130 @t124)) @t110 @t47 @t69 @t125 (tptp.memberP @t124 @t40)))) % 0.37/0.76 (assume @p173 (forall @t128 (or @t129 @t125 @t59 @t115 @t46 @t122))) % 0.37/0.76 (assume @p174 (forall @t41 (or (not (= @t52 @t105)) (not (= @t53 @t94)) @t47 @t59 @t93 @t80 @t51))) % 0.37/0.76 (assume @p175 (forall @t128 (or @t103 (not (= @t108 @t124)) @t59 @t47 @t131 @t115 (tptp.frontsegP @t114 (tptp.cons @t124 @t40))))) % 0.37/0.76 (assume @p176 (forall @t134 (or (not (= (tptp.app @t130 (tptp.cons @t40 @t124)) @t132)) @t125 @t110 @t47 @t69 (not (tptp.duplicatefreeP @t132)) @t133))) % 0.37/0.76 (assume @p177 (forall @t134 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t126)) @t132)) @t125 @t47 @t115 @t69 (not (tptp.equalelemsP @t132)) @t133 @t121))) % 0.37/0.76 (assume @p178 (forall @t139 (or @t138 @t133 @t110 @t47 @t131 @t69 (not (tptp.strictorderedP @t136)) @t137 @t135))) % 0.37/0.76 (assume @p179 (forall @t139 (or @t138 @t133 @t110 @t47 @t131 @t69 (not (tptp.totalorderedP @t136)) @t137 @t140))) % 0.37/0.76 (assume @p180 (forall @t139 (or @t138 @t133 @t110 @t47 @t131 @t69 (not (tptp.strictorderP @t136)) @t137 @t135 (tptp.lt @t124 @t40)))) % 0.37/0.76 (assume @p181 (forall @t139 (or @t138 @t133 @t110 @t47 @t131 @t69 (not (tptp.totalorderP @t136)) @t137 @t140 (tptp.leq @t124 @t40)))) % 0.37/0.76 (assume @p182 (forall @t139 (or @t79 @t104 (not (= (tptp.app (tptp.app @t108 (tptp.cons @t2 @t124)) (tptp.cons @t40 @t132)) @t136)) @t133 @t125 @t110 @t69 @t46 (not (tptp.cyclefreeP @t136)) @t137))) % 0.37/0.76 (assume @p183 @t141) % 0.37/0.76 (assume @p184 (tptp.ssList tptp.sk2)) % 0.37/0.76 (assume @p185 (tptp.ssList tptp.sk3)) % 0.37/0.76 (assume @p186 (tptp.ssList tptp.sk4)) % 0.37/0.76 (assume @p187 @t142) % 0.37/0.76 (assume @p188 @t143) % 0.37/0.76 (assume @p189 @t144) % 0.37/0.76 (assume @p190 @t146) % 0.37/0.76 (assume @p191 (or @t148 @t147)) % 0.37/0.76 (assume @p192 (or @t148 @t149)) % 0.37/0.76 (assume @p193 @t152) % 0.37/0.76 (assume @p194 (or @t153 @t147)) % 0.37/0.76 (assume @p195 (or @t151 @t149)) % 0.37/0.76 (assume @p196 (or @t153 @t149)) % 0.37/0.76 (step @p197 :rule aci_norm :args ((= (or false @t154 @t59 @t59) (or @t154 @t59)))) % 0.37/0.76 (step @p198 :rule refl :args (@t59)) % 0.37/0.76 (step @p199 :rule refl :args (@t154)) % 0.37/0.76 (step @p200 :rule evaluate :args ((not true))) % 0.37/0.76 (step @p201 :rule eq-refl :args (@t40)) % 0.37/0.76 (step @p202 :rule cong :premises (@p201) :args (@t155)) % 0.37/0.76 (step @p203 :rule trans :premises (@p202 @p200)) % 0.37/0.76 (step @p204 :rule nary_cong :premises (@p203 @p199 @p198 @p198) :args (@t156)) % 0.37/0.76 (step @p205 :rule trans :premises (@p204 @p197)) % 0.37/0.76 (step @p206 :rule cong :premises (@p205) :args ((forall @t157 @t156))) % 0.37/0.76 (step @p207 :rule quant-var-elim-eq :args ((= (forall @t4 @t158) @t156))) % 0.37/0.76 (step @p208 :rule aci_norm :args ((= @t84 @t158))) % 0.37/0.76 (step @p209 :rule cong :premises (@p208) :args (@t159)) % 0.37/0.76 (step @p210 :rule trans :premises (@p209 @p207)) % 0.37/0.76 (step @p211 :rule cong :premises (@p210) :args (@t160)) % 0.37/0.76 (step @p212 :rule quant-merge-prenex :args ((= @t160 @t161))) % 0.37/0.76 (step @p213 :rule symm :premises (@p212)) % 0.37/0.76 (step @p214 :rule quant_var_reordering :args ((= @t85 @t161))) % 0.37/0.76 (step @p215 :rule trans :premises (@p214 @p213 @p211)) % 0.37/0.76 (step @p216 :rule trans :premises (@p215 @p206)) % 0.37/0.76 (step @p217 :rule eq_resolve :premises (@p113 @p216)) % 0.37/0.76 (step @p218 :rule instantiate :premises (@p217) :args ((@list tptp.nil))) % 0.37/0.76 (step @p219 :rule cnf_or_pos :args (@t165)) % 0.37/0.76 (step @p220 :rule reordering :premises (@p219) :args ((or @t162 @t164 (not @t165)))) % 0.37/0.76 (step @p221 :rule chain_m_resolution :premises (@p220 @p8 @p218) :args (@t164 (@list false false) (@list @t1 @t165))) % 0.37/0.76 (step @p222 :rule bool-double-not-elim :args (@t163)) % 0.37/0.76 (step @p223 :rule refl :args (@t166)) % 0.37/0.76 (step @p224 :rule refl :args (@t167)) % 0.37/0.76 (step @p225 :rule refl :args (@t168)) % 0.37/0.76 (step @p226 :rule nary_cong :premises (@p225 @p224 @p223 @p222) :args ((or @t168 @t167 @t166 (not @t164)))) % 0.37/0.76 (assume-push @p358 @t144) % 0.37/0.76 (assume-push @p359 @t142) % 0.37/0.76 (assume-push @p360 @t147) % 0.37/0.76 (assume-push @p361 @t164) % 0.37/0.76 (step @p231 :rule evaluate :args ((= false true))) % 0.37/0.76 (step @p232 :rule true_intro :premises (@p189)) % 0.37/0.76 (step @p233 :rule refl :args (tptp.nil)) % 0.37/0.76 (step @p234 :rule symm :premises (@p187)) % 0.37/0.76 (step @p235 :rule trans :premises (@p360 @p234)) % 0.37/0.76 (step @p236 :rule cong :premises (@p235 @p233) :args (@t163)) % 0.37/0.76 (step @p237 :rule false_intro :premises (@p221)) % 0.37/0.76 (step @p238 :rule symm :premises (@p237)) % 0.37/0.76 (step @p239 :rule trans :premises (@p238 @p236 @p232)) % 0.37/0.76 (step @p240 false :rule eq_resolve :premises (@p239 @p231)) % 0.37/0.76 (step-pop @p362 :rule scope :premises (@p240)) % 0.37/0.76 (step-pop @p363 :rule scope :premises (@p362)) % 0.37/0.76 (step-pop @p364 :rule scope :premises (@p363)) % 0.37/0.76 (step-pop @p365 :rule scope :premises (@p364)) % 0.37/0.76 (step @p241 :rule process_scope :premises (@p365) :args (false)) % 0.37/0.76 (assume-push @p366 @t142) % 0.37/0.76 (assume-push @p367 @t144) % 0.37/0.76 (assume-push @p368 @t147) % 0.37/0.76 (assume-push @p369 @t164) % 0.37/0.76 (step @p250 :rule and_intro :premises (@p189 @p187 @p368 @p221)) % 0.37/0.76 (step-pop @p370 :rule scope :premises (@p250)) % 0.37/0.76 (step-pop @p371 :rule scope :premises (@p370)) % 0.37/0.76 (step-pop @p372 :rule scope :premises (@p371)) % 0.37/0.76 (step-pop @p373 :rule scope :premises (@p372)) % 0.37/0.76 (step @p251 :rule process_scope :premises (@p373) :args (@t169)) % 0.37/0.76 (step @p256 :rule implies_elim :premises (@p251)) % 0.37/0.76 (step @p257 :rule resolution :premises (@p256 @p241) :args (true @t169)) % 0.37/0.76 (step @p258 :rule not_and :premises (@p257)) % 0.37/0.76 (step @p259 :rule eq_resolve :premises (@p258 @p226)) % 0.37/0.76 (step @p260 :rule chain_m_resolution :premises (@p259 @p187 @p189 @p221) :args (@t166 (@list false false true) (@list @t142 @t144 @t163))) % 0.37/0.76 (step @p261 :rule chain_m_resolution :premises (@p191 @p260) :args (@t148 @t170 @t171)) % 0.37/0.76 (step @p262 :rule aci_norm :args ((= (or false @t46 @t173 @t172) (or @t46 @t173 @t172)))) % 0.37/0.76 (step @p263 :rule refl :args (@t172)) % 0.37/0.76 (step @p264 :rule refl :args (@t173)) % 0.37/0.76 (step @p265 :rule refl :args (@t46)) % 0.37/0.76 (step @p266 :rule eq-refl :args (@t48)) % 0.37/0.76 (step @p267 :rule cong :premises (@p266) :args (@t174)) % 0.37/0.76 (step @p268 :rule trans :premises (@p267 @p200)) % 0.37/0.76 (step @p269 :rule nary_cong :premises (@p268 @p265 @p264 @p263) :args (@t175)) % 0.37/0.76 (step @p270 :rule trans :premises (@p269 @p262)) % 0.37/0.76 (step @p271 :rule cong :premises (@p270) :args ((forall @t4 @t175))) % 0.37/0.76 (step @p272 :rule quant-var-elim-eq :args ((= (forall @t157 @t177) @t175))) % 0.37/0.76 (step @p273 :rule aci_norm :args ((= @t178 @t177))) % 0.37/0.76 (step @p274 :rule cong :premises (@p273) :args (@t179)) % 0.37/0.76 (step @p275 :rule trans :premises (@p274 @p272)) % 0.37/0.76 (step @p276 :rule cong :premises (@p275) :args (@t180)) % 0.37/0.76 (step @p277 :rule quant-merge-prenex :args ((= @t180 (forall @t41 @t178)))) % 0.37/0.76 (step @p278 :rule symm :premises (@p277)) % 0.37/0.76 (step @p279 :rule trans :premises (@p278 @p276)) % 0.37/0.76 (step @p280 :rule trans :premises (@p279 @p271)) % 0.37/0.76 (step @p281 :rule refl :args (@t86)) % 0.37/0.76 (step @p282 :rule eq-symm :args (@t48 @t40)) % 0.37/0.76 (step @p283 :rule cong :premises (@p282) :args (@t87)) % 0.37/0.76 (step @p284 :rule nary_cong :premises (@p283 @p265 @p198 @p281) :args (@t88)) % 0.37/0.76 (step @p285 :rule cong :premises (@p284) :args (@t89)) % 0.37/0.76 (step @p286 :rule trans :premises (@p285 @p280)) % 0.37/0.76 (step @p287 :rule eq_resolve :premises (@p114 @p286)) % 0.37/0.76 (step @p288 :rule instantiate :premises (@p287) :args ((@list tptp.sk5))) % 0.37/0.76 (step @p289 :rule refl :args (@t147)) % 0.37/0.76 (step @p290 :rule eq-symm :args (@t150 tptp.sk3)) % 0.37/0.76 (step @p291 :rule nary_cong :premises (@p290 @p289) :args (@t152)) % 0.37/0.76 (step @p292 :rule eq_resolve :premises (@p193 @p291)) % 0.37/0.76 (step @p293 :rule reordering :premises (@p292) :args ((or @t147 @t181))) % 0.37/0.76 (step @p294 :rule chain_m_resolution :premises (@p293 @p260) :args (@t181 @t170 @t171)) % 0.37/0.76 (step @p295 :rule refl :args (@t183)) % 0.37/0.76 (step @p296 :rule refl :args (@t184)) % 0.37/0.76 (step @p297 :rule bool-double-not-elim :args (@t145)) % 0.37/0.76 (step @p298 :rule refl :args (@t185)) % 0.37/0.76 (step @p299 :rule nary_cong :premises (@p298 @p297 @p296 @p295) :args ((or @t185 (not @t146) @t184 @t183))) % 0.37/0.76 (assume-push @p374 @t143) % 0.37/0.76 (assume-push @p375 @t146) % 0.37/0.76 (assume-push @p376 @t181) % 0.37/0.76 (assume-push @p377 @t146) % 0.37/0.76 (assume-push @p378 @t143) % 0.37/0.76 (assume-push @p379 @t181) % 0.37/0.76 (step @p306 :rule false_intro :premises (@p190)) % 0.37/0.76 (step @p307 :rule symm :premises (@p188)) % 0.37/0.76 (step @p308 :rule symm :premises (@p376)) % 0.37/0.76 (step @p309 :rule trans :premises (@p308 @p307)) % 0.37/0.76 (step @p310 :rule cong :premises (@p309) :args (@t182)) % 0.37/0.76 (step @p311 :rule trans :premises (@p310 @p306)) % 0.37/0.76 (step @p312 :rule false_elim :premises (@p311)) % 0.37/0.76 (step-pop @p380 :rule scope :premises (@p312)) % 0.37/0.76 (step-pop @p381 :rule scope :premises (@p380)) % 0.37/0.76 (step-pop @p382 :rule scope :premises (@p381)) % 0.37/0.76 (step @p313 :rule process_scope :premises (@p382) :args (@t183)) % 0.37/0.76 (step @p317 :rule and_intro :premises (@p190 @p188 @p376)) % 0.37/0.76 (step @p318 :rule modus_ponens :premises (@p317 @p313)) % 0.37/0.76 (step-pop @p383 :rule scope :premises (@p318)) % 0.37/0.76 (step-pop @p384 :rule scope :premises (@p383)) % 0.37/0.76 (step-pop @p385 :rule scope :premises (@p384)) % 0.37/0.76 (step @p319 :rule process_scope :premises (@p385) :args (@t183)) % 0.37/0.76 (step @p323 :rule implies_elim :premises (@p319)) % 0.37/0.76 (step @p324 :rule cnf_and_neg :args (@t186)) % 0.37/0.76 (step @p325 :rule resolution :premises (@p324 @p323) :args (true @t186)) % 0.37/0.76 (step @p326 :rule eq_resolve :premises (@p325 @p299)) % 0.37/0.76 (step @p327 :rule reordering :premises (@p326) :args ((or @t145 @t185 @t184 @t183))) % 0.37/0.76 (step @p328 :rule chain_m_resolution :premises (@p327 @p190 @p188 @p294) :args (@t183 (@list true false false) (@list @t145 @t143 @t181))) % 0.37/0.76 (assume-push @p386 @t141) % 0.37/0.76 (assume-push @p387 @t143) % 0.37/0.76 (assume-push @p388 @t181) % 0.37/0.76 (assume-push @p389 @t141) % 0.37/0.76 (assume-push @p390 @t143) % 0.37/0.76 (assume-push @p391 @t181) % 0.37/0.76 (step @p335 :rule true_intro :premises (@p183)) % 0.37/0.76 (step @p307 :rule symm :premises (@p188)) % 0.37/0.76 (step @p336 :rule symm :premises (@p388)) % 0.37/0.76 (step @p337 :rule trans :premises (@p336 @p307)) % 0.37/0.76 (step @p338 :rule cong :premises (@p337) :args (@t187)) % 0.37/0.76 (step @p339 :rule trans :premises (@p338 @p335)) % 0.37/0.76 (step @p340 :rule true_elim :premises (@p339)) % 0.37/0.76 (step-pop @p392 :rule scope :premises (@p340)) % 0.37/0.76 (step-pop @p393 :rule scope :premises (@p392)) % 0.37/0.76 (step-pop @p394 :rule scope :premises (@p393)) % 0.37/0.76 (step @p341 :rule process_scope :premises (@p394) :args (@t187)) % 0.37/0.76 (step @p345 :rule and_intro :premises (@p183 @p188 @p388)) % 0.37/0.76 (step @p346 :rule modus_ponens :premises (@p345 @p341)) % 0.37/0.76 (step-pop @p395 :rule scope :premises (@p346)) % 0.37/0.76 (step-pop @p396 :rule scope :premises (@p395)) % 0.37/0.76 (step-pop @p397 :rule scope :premises (@p396)) % 0.37/0.76 (step @p347 :rule process_scope :premises (@p397) :args (@t187)) % 0.37/0.76 (step @p351 :rule implies_elim :premises (@p347)) % 0.37/0.76 (step @p352 :rule cnf_and_neg :args (@t188)) % 0.37/0.76 (step @p353 :rule resolution :premises (@p352 @p351) :args (true @t188)) % 0.37/0.76 (step @p354 :rule chain_m_resolution :premises (@p353 @p183 @p188 @p294) :args (@t187 (@list false false false) (@list @t141 @t143 @t181))) % 0.37/0.76 (step @p355 :rule cnf_or_pos :args (@t191)) % 0.37/0.76 (step @p356 :rule reordering :premises (@p355) :args ((or @t190 @t189 @t182 (not @t191)))) % 0.37/0.76 (step @p357 false :rule chain_m_resolution :premises (@p356 @p354 @p328 @p288 @p261) :args (false (@list false true false false) (@list @t187 @t182 @t191 @t148))) % 0.37/0.76 ) % 0.37/0.76 % SZS output end Proof % 0.37/0.76 % cvc5 exiting %------------------------------------------------------------------------------