%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC309-1 : 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 : n014.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 08:58:49 AM UTC 2026 % Result : Unsatisfiable 1.53s 1.75s % Output : Proof 1.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC309-1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:40:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.53/1.75 % SZS status Unsatisfiable % 1.53/1.75 % SZS output start Proof % 1.53/1.77 ( % 1.53/1.77 (declare-sort $$unsorted 0) % 1.53/1.77 (declare-const tptp.sk4 $$unsorted) % 1.53/1.77 (declare-const tptp.sk2 $$unsorted) % 1.53/1.77 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.nil $$unsorted) % 1.53/1.77 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.sk1 $$unsorted) % 1.53/1.77 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skac2 $$unsorted) % 1.53/1.77 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.sk3 $$unsorted) % 1.53/1.77 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skac3 $$unsorted) % 1.53/1.77 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 1.53/1.77 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.53/1.77 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.53/1.77 (define @t1 () (@var "U" $$unsorted)) % 1.53/1.77 (define @t2 () (tptp.skaf83 @t1)) % 1.53/1.77 (define @t3 () (@list @t1)) % 1.53/1.77 (define @t4 () (tptp.skaf82 @t1)) % 1.53/1.77 (define @t5 () (tptp.skaf81 @t1)) % 1.53/1.77 (define @t6 () (tptp.skaf80 @t1)) % 1.53/1.77 (define @t7 () (tptp.skaf79 @t1)) % 1.53/1.77 (define @t8 () (tptp.skaf78 @t1)) % 1.53/1.77 (define @t9 () (tptp.skaf77 @t1)) % 1.53/1.77 (define @t10 () (tptp.skaf76 @t1)) % 1.53/1.77 (define @t11 () (tptp.skaf75 @t1)) % 1.53/1.77 (define @t12 () (tptp.skaf74 @t1)) % 1.53/1.77 (define @t13 () (tptp.skaf73 @t1)) % 1.53/1.77 (define @t14 () (tptp.skaf72 @t1)) % 1.53/1.77 (define @t15 () (tptp.skaf71 @t1)) % 1.53/1.77 (define @t16 () (tptp.skaf70 @t1)) % 1.53/1.77 (define @t17 () (tptp.skaf69 @t1)) % 1.53/1.77 (define @t18 () (tptp.skaf68 @t1)) % 1.53/1.77 (define @t19 () (tptp.skaf67 @t1)) % 1.53/1.77 (define @t20 () (tptp.skaf66 @t1)) % 1.53/1.77 (define @t21 () (tptp.skaf65 @t1)) % 1.53/1.77 (define @t22 () (tptp.skaf64 @t1)) % 1.53/1.77 (define @t23 () (tptp.skaf63 @t1)) % 1.53/1.77 (define @t24 () (tptp.skaf62 @t1)) % 1.53/1.77 (define @t25 () (tptp.skaf61 @t1)) % 1.53/1.77 (define @t26 () (tptp.skaf60 @t1)) % 1.53/1.77 (define @t27 () (tptp.skaf59 @t1)) % 1.53/1.77 (define @t28 () (tptp.skaf58 @t1)) % 1.53/1.77 (define @t29 () (tptp.skaf57 @t1)) % 1.53/1.77 (define @t30 () (tptp.skaf56 @t1)) % 1.53/1.77 (define @t31 () (tptp.skaf55 @t1)) % 1.53/1.77 (define @t32 () (tptp.skaf54 @t1)) % 1.53/1.77 (define @t33 () (tptp.skaf53 @t1)) % 1.53/1.77 (define @t34 () (tptp.skaf52 @t1)) % 1.53/1.77 (define @t35 () (tptp.skaf51 @t1)) % 1.53/1.77 (define @t36 () (tptp.skaf50 @t1)) % 1.53/1.77 (define @t37 () (tptp.skaf49 @t1)) % 1.53/1.77 (define @t38 () (tptp.skaf44 @t1)) % 1.53/1.77 (define @t39 () (@var "V" $$unsorted)) % 1.53/1.77 (define @t40 () (@list @t1 @t39)) % 1.53/1.77 (define @t41 () (tptp.skaf47 @t1 @t39)) % 1.53/1.77 (define @t42 () (tptp.skaf46 @t1 @t39)) % 1.53/1.77 (define @t43 () (tptp.skaf45 @t1 @t39)) % 1.53/1.77 (define @t44 () (tptp.skaf42 @t1 @t39)) % 1.53/1.77 (define @t45 () (not (tptp.ssItem @t1))) % 1.53/1.77 (define @t46 () (not (tptp.ssList @t1))) % 1.53/1.77 (define @t47 () (tptp.cons @t1 tptp.nil)) % 1.53/1.77 (define @t48 () (tptp.ssItem @t39)) % 1.53/1.77 (define @t49 () (tptp.duplicatefreeP @t1)) % 1.53/1.77 (define @t50 () (= tptp.nil @t1)) % 1.53/1.77 (define @t51 () (tptp.tl @t1)) % 1.53/1.77 (define @t52 () (tptp.hd @t1)) % 1.53/1.77 (define @t53 () (tptp.segmentP tptp.nil @t1)) % 1.53/1.77 (define @t54 () (not @t50)) % 1.53/1.77 (define @t55 () (tptp.rearsegP tptp.nil @t1)) % 1.53/1.77 (define @t56 () (tptp.frontsegP tptp.nil @t1)) % 1.53/1.77 (define @t57 () (tptp.app @t39 @t1)) % 1.53/1.77 (define @t58 () (not (tptp.ssList @t39))) % 1.53/1.77 (define @t59 () (tptp.cons @t1 @t39)) % 1.53/1.77 (define @t60 () (tptp.cyclefreeP @t1)) % 1.53/1.77 (define @t61 () (tptp.equalelemsP @t1)) % 1.53/1.77 (define @t62 () (tptp.strictorderedP @t1)) % 1.53/1.77 (define @t63 () (tptp.totalorderedP @t1)) % 1.53/1.77 (define @t64 () (tptp.strictorderP @t1)) % 1.53/1.77 (define @t65 () (tptp.totalorderP @t1)) % 1.53/1.77 (define @t66 () (= @t39 @t1)) % 1.53/1.77 (define @t67 () (tptp.neq @t39 @t1)) % 1.53/1.77 (define @t68 () (not @t48)) % 1.53/1.77 (define @t69 () (tptp.leq @t1 @t39)) % 1.53/1.77 (define @t70 () (tptp.lt @t1 @t39)) % 1.53/1.77 (define @t71 () (not @t70)) % 1.53/1.77 (define @t72 () (tptp.lt @t39 @t1)) % 1.53/1.77 (define @t73 () (not (tptp.gt @t1 @t39))) % 1.53/1.77 (define @t74 () (tptp.gt @t39 @t1)) % 1.53/1.77 (define @t75 () (tptp.leq @t39 @t1)) % 1.53/1.77 (define @t76 () (not (tptp.geq @t1 @t39))) % 1.53/1.77 (define @t77 () (tptp.geq @t39 @t1)) % 1.53/1.77 (define @t78 () (not @t69)) % 1.53/1.77 (define @t79 () (tptp.cons @t2 @t4)) % 1.53/1.77 (define @t80 () (or @t46 (= @t79 @t1) @t50)) % 1.53/1.77 (define @t81 () (forall @t3 @t80)) % 1.53/1.77 (define @t82 () (= @t1 @t39)) % 1.53/1.77 (define @t83 () (not @t82)) % 1.53/1.77 (define @t84 () (tptp.cons @t39 @t1)) % 1.53/1.77 (define @t85 () (not (tptp.neq @t1 @t39))) % 1.53/1.77 (define @t86 () (or @t83 @t85 @t58 @t46)) % 1.53/1.77 (define @t87 () (forall @t40 @t86)) % 1.53/1.77 (define @t88 () (tptp.app @t1 @t39)) % 1.53/1.77 (define @t89 () (= @t88 tptp.nil)) % 1.53/1.77 (define @t90 () (not @t89)) % 1.53/1.77 (define @t91 () (= tptp.nil @t39)) % 1.53/1.77 (define @t92 () (tptp.app @t47 @t39)) % 1.53/1.77 (define @t93 () (or @t45 @t58 (= @t92 @t59))) % 1.53/1.77 (define @t94 () (forall @t40 @t93)) % 1.53/1.77 (define @t95 () (tptp.hd @t39)) % 1.53/1.77 (define @t96 () (tptp.strictorderedP @t39)) % 1.53/1.77 (define @t97 () (tptp.strictorderedP @t59)) % 1.53/1.77 (define @t98 () (not @t97)) % 1.53/1.77 (define @t99 () (tptp.totalorderedP @t39)) % 1.53/1.77 (define @t100 () (tptp.totalorderedP @t59)) % 1.53/1.77 (define @t101 () (not @t100)) % 1.53/1.77 (define @t102 () (not (tptp.segmentP @t1 @t39))) % 1.53/1.77 (define @t103 () (not (tptp.rearsegP @t1 @t39))) % 1.53/1.77 (define @t104 () (not (tptp.frontsegP @t1 @t39))) % 1.53/1.77 (define @t105 () (not @t75)) % 1.53/1.77 (define @t106 () (tptp.tl @t39)) % 1.53/1.77 (define @t107 () (tptp.lt @t1 @t95)) % 1.53/1.77 (define @t108 () (tptp.leq @t1 @t95)) % 1.53/1.77 (define @t109 () (@var "W" $$unsorted)) % 1.53/1.77 (define @t110 () (tptp.app @t109 @t1)) % 1.53/1.77 (define @t111 () (not (tptp.ssList @t109))) % 1.53/1.77 (define @t112 () (@list @t1 @t39 @t109)) % 1.53/1.77 (define @t113 () (tptp.app @t1 @t109)) % 1.53/1.77 (define @t114 () (tptp.cons @t39 @t109)) % 1.53/1.77 (define @t115 () (tptp.cons @t109 @t1)) % 1.53/1.77 (define @t116 () (not (tptp.ssItem @t109))) % 1.53/1.77 (define @t117 () (not (tptp.memberP @t1 @t39))) % 1.53/1.77 (define @t118 () (not (= @t88 @t109))) % 1.53/1.77 (define @t119 () (tptp.lt @t1 @t109)) % 1.53/1.77 (define @t120 () (not (tptp.lt @t39 @t109))) % 1.53/1.77 (define @t121 () (tptp.app @t109 @t39)) % 1.53/1.77 (define @t122 () (= @t39 @t109)) % 1.53/1.77 (define @t123 () (= @t1 @t109)) % 1.53/1.77 (define @t124 () (tptp.memberP @t39 @t109)) % 1.53/1.77 (define @t125 () (@var "X" $$unsorted)) % 1.53/1.77 (define @t126 () (not (tptp.ssList @t125))) % 1.53/1.77 (define @t127 () (tptp.cons @t109 @t125)) % 1.53/1.77 (define @t128 () (not (= @t59 @t127))) % 1.53/1.77 (define @t129 () (@list @t1 @t39 @t109 @t125)) % 1.53/1.77 (define @t130 () (not (tptp.frontsegP @t59 @t127))) % 1.53/1.77 (define @t131 () (tptp.app @t1 @t114)) % 1.53/1.77 (define @t132 () (not (tptp.ssItem @t125))) % 1.53/1.77 (define @t133 () (@var "Y" $$unsorted)) % 1.53/1.77 (define @t134 () (not (tptp.ssList @t133))) % 1.53/1.77 (define @t135 () (@list @t1 @t39 @t109 @t125 @t133)) % 1.53/1.77 (define @t136 () (tptp.lt @t39 @t125)) % 1.53/1.77 (define @t137 () (@var "Z" $$unsorted)) % 1.53/1.77 (define @t138 () (not (tptp.ssList @t137))) % 1.53/1.77 (define @t139 () (not (= (tptp.app @t131 (tptp.cons @t125 @t133)) @t137))) % 1.53/1.77 (define @t140 () (@list @t1 @t39 @t109 @t125 @t133 @t137)) % 1.53/1.77 (define @t141 () (tptp.leq @t39 @t125)) % 1.53/1.77 (define @t142 () (tptp.ssList tptp.sk2)) % 1.53/1.77 (define @t143 () (= tptp.sk2 tptp.sk4)) % 1.53/1.77 (define @t144 () (= tptp.sk1 tptp.sk3)) % 1.53/1.77 (define @t145 () (tptp.neq tptp.sk2 tptp.nil)) % 1.53/1.77 (define @t146 () (@var "A" $$unsorted)) % 1.53/1.77 (define @t147 () (tptp.cons @t146 tptp.nil)) % 1.53/1.77 (define @t148 () (@var "B" $$unsorted)) % 1.53/1.77 (define @t149 () (tptp.app @t148 @t147)) % 1.53/1.77 (define @t150 () (not (= @t149 tptp.sk1))) % 1.53/1.77 (define @t151 () (tptp.app @t147 @t148)) % 1.53/1.77 (define @t152 () (not (= @t151 tptp.sk2))) % 1.53/1.77 (define @t153 () (not (tptp.ssList @t148))) % 1.53/1.77 (define @t154 () (not (tptp.ssItem @t146))) % 1.53/1.77 (define @t155 () (or @t154 @t153 @t152 @t150)) % 1.53/1.77 (define @t156 () (@list @t146 @t148)) % 1.53/1.77 (define @t157 () (forall @t156 @t155)) % 1.53/1.77 (define @t158 () (not (= @t151 tptp.sk4))) % 1.53/1.77 (define @t159 () (or @t154 @t153 (= @t149 tptp.sk3) @t158)) % 1.53/1.77 (define @t160 () (forall @t156 @t159)) % 1.53/1.77 (define @t161 () (tptp.skaf82 tptp.sk2)) % 1.53/1.77 (define @t162 () (tptp.skaf83 tptp.sk2)) % 1.53/1.77 (define @t163 () (@list @t162 @t161)) % 1.53/1.77 (define @t164 () (@list tptp.sk2)) % 1.53/1.77 (define @t165 () (tptp.cons @t162 tptp.nil)) % 1.53/1.77 (define @t166 () (tptp.app @t165 @t161)) % 1.53/1.77 (define @t167 () (tptp.cons @t162 @t161)) % 1.53/1.77 (define @t168 () (= @t167 @t166)) % 1.53/1.77 (define @t169 () (tptp.ssList @t161)) % 1.53/1.77 (define @t170 () (not @t169)) % 1.53/1.77 (define @t171 () (tptp.ssItem @t162)) % 1.53/1.77 (define @t172 () (not @t171)) % 1.53/1.77 (define @t173 () (or @t172 @t170 @t168)) % 1.53/1.77 (define @t174 () (@list false false false)) % 1.53/1.77 (define @t175 () (not (tptp.neq @t39 @t39))) % 1.53/1.77 (define @t176 () (not (= @t39 @t39))) % 1.53/1.77 (define @t177 () (or @t176 @t175 @t58 @t58)) % 1.53/1.77 (define @t178 () (@list @t39)) % 1.53/1.77 (define @t179 () (or @t83 @t83 @t85 @t58 @t46)) % 1.53/1.77 (define @t180 () (forall @t3 @t86)) % 1.53/1.77 (define @t181 () (forall @t178 @t180)) % 1.53/1.77 (define @t182 () (forall (@list @t39 @t1) @t86)) % 1.53/1.77 (define @t183 () (not @t142)) % 1.53/1.77 (define @t184 () (tptp.neq tptp.sk2 tptp.sk2)) % 1.53/1.77 (define @t185 () (not @t184)) % 1.53/1.77 (define @t186 () (or @t185 @t183)) % 1.53/1.77 (define @t187 () (@list false false)) % 1.53/1.77 (define @t188 () (= tptp.nil tptp.sk2)) % 1.53/1.77 (define @t189 () (not @t188)) % 1.53/1.77 (define @t190 () (not @t145)) % 1.53/1.77 (define @t191 () (= tptp.sk2 @t167)) % 1.53/1.77 (define @t192 () (or @t183 @t191 @t188)) % 1.53/1.77 (define @t193 () (= tptp.sk4 @t166)) % 1.53/1.77 (define @t194 () (and @t143 @t191 @t168)) % 1.53/1.77 (define @t195 () (not @t193)) % 1.53/1.77 (define @t196 () (tptp.app @t161 @t165)) % 1.53/1.77 (define @t197 () (= tptp.sk3 @t196)) % 1.53/1.77 (define @t198 () (or @t172 @t170 @t197 @t195)) % 1.53/1.77 (define @t199 () (@list false false false false)) % 1.53/1.77 (define @t200 () (= tptp.sk2 @t166)) % 1.53/1.77 (define @t201 () (and @t191 @t168)) % 1.53/1.77 (define @t202 () (= tptp.sk1 @t196)) % 1.53/1.77 (define @t203 () (not @t202)) % 1.53/1.77 (define @t204 () (not @t200)) % 1.53/1.77 (define @t205 () (or @t172 @t170 @t204 @t203)) % 1.53/1.77 (define @t206 () (and @t144 @t197)) % 1.53/1.77 (assume @p1 (tptp.equalelemsP tptp.nil)) % 1.53/1.77 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 1.53/1.77 (assume @p3 (tptp.strictorderedP tptp.nil)) % 1.53/1.77 (assume @p4 (tptp.totalorderedP tptp.nil)) % 1.53/1.77 (assume @p5 (tptp.strictorderP tptp.nil)) % 1.53/1.77 (assume @p6 (tptp.totalorderP tptp.nil)) % 1.53/1.77 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 1.53/1.77 (assume @p8 (tptp.ssList tptp.nil)) % 1.53/1.77 (assume @p9 (tptp.ssItem tptp.skac3)) % 1.53/1.77 (assume @p10 (tptp.ssItem tptp.skac2)) % 1.53/1.77 (assume @p11 (not (tptp.singletonP tptp.nil))) % 1.53/1.77 (assume @p12 (forall @t3 (tptp.ssItem @t2))) % 1.53/1.77 (assume @p13 (forall @t3 (tptp.ssList @t4))) % 1.53/1.77 (assume @p14 (forall @t3 (tptp.ssList @t5))) % 1.53/1.77 (assume @p15 (forall @t3 (tptp.ssList @t6))) % 1.53/1.77 (assume @p16 (forall @t3 (tptp.ssItem @t7))) % 1.53/1.77 (assume @p17 (forall @t3 (tptp.ssItem @t8))) % 1.53/1.77 (assume @p18 (forall @t3 (tptp.ssList @t9))) % 1.53/1.77 (assume @p19 (forall @t3 (tptp.ssList @t10))) % 1.53/1.77 (assume @p20 (forall @t3 (tptp.ssList @t11))) % 1.53/1.77 (assume @p21 (forall @t3 (tptp.ssItem @t12))) % 1.53/1.77 (assume @p22 (forall @t3 (tptp.ssList @t13))) % 1.53/1.77 (assume @p23 (forall @t3 (tptp.ssList @t14))) % 1.53/1.77 (assume @p24 (forall @t3 (tptp.ssList @t15))) % 1.53/1.77 (assume @p25 (forall @t3 (tptp.ssItem @t16))) % 1.53/1.77 (assume @p26 (forall @t3 (tptp.ssItem @t17))) % 1.53/1.77 (assume @p27 (forall @t3 (tptp.ssList @t18))) % 1.53/1.77 (assume @p28 (forall @t3 (tptp.ssList @t19))) % 1.53/1.77 (assume @p29 (forall @t3 (tptp.ssList @t20))) % 1.53/1.77 (assume @p30 (forall @t3 (tptp.ssItem @t21))) % 1.53/1.77 (assume @p31 (forall @t3 (tptp.ssItem @t22))) % 1.53/1.77 (assume @p32 (forall @t3 (tptp.ssList @t23))) % 1.53/1.77 (assume @p33 (forall @t3 (tptp.ssList @t24))) % 1.53/1.77 (assume @p34 (forall @t3 (tptp.ssList @t25))) % 1.53/1.77 (assume @p35 (forall @t3 (tptp.ssItem @t26))) % 1.53/1.77 (assume @p36 (forall @t3 (tptp.ssItem @t27))) % 1.53/1.77 (assume @p37 (forall @t3 (tptp.ssList @t28))) % 1.53/1.77 (assume @p38 (forall @t3 (tptp.ssList @t29))) % 1.53/1.77 (assume @p39 (forall @t3 (tptp.ssList @t30))) % 1.53/1.77 (assume @p40 (forall @t3 (tptp.ssItem @t31))) % 1.53/1.77 (assume @p41 (forall @t3 (tptp.ssItem @t32))) % 1.53/1.77 (assume @p42 (forall @t3 (tptp.ssList @t33))) % 1.53/1.77 (assume @p43 (forall @t3 (tptp.ssList @t34))) % 1.53/1.77 (assume @p44 (forall @t3 (tptp.ssList @t35))) % 1.53/1.77 (assume @p45 (forall @t3 (tptp.ssItem @t36))) % 1.53/1.77 (assume @p46 (forall @t3 (tptp.ssItem @t37))) % 1.53/1.77 (assume @p47 (forall @t3 (tptp.ssItem @t38))) % 1.53/1.77 (assume @p48 (forall @t40 (tptp.ssList (tptp.skaf48 @t1 @t39)))) % 1.53/1.77 (assume @p49 (forall @t40 (tptp.ssList @t41))) % 1.53/1.77 (assume @p50 (forall @t40 (tptp.ssList @t42))) % 1.53/1.77 (assume @p51 (forall @t40 (tptp.ssList @t43))) % 1.53/1.77 (assume @p52 (forall @t40 (tptp.ssList (tptp.skaf43 @t1 @t39)))) % 1.53/1.77 (assume @p53 (forall @t40 (tptp.ssList @t44))) % 1.53/1.77 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 1.53/1.77 (assume @p55 (forall @t3 (or @t45 (tptp.geq @t1 @t1)))) % 1.53/1.77 (assume @p56 (forall @t3 (or @t46 (tptp.segmentP @t1 tptp.nil)))) % 1.53/1.77 (assume @p57 (forall @t3 (or @t46 (tptp.segmentP @t1 @t1)))) % 1.53/1.77 (assume @p58 (forall @t3 (or @t46 (tptp.rearsegP @t1 tptp.nil)))) % 1.53/1.77 (assume @p59 (forall @t3 (or @t46 (tptp.rearsegP @t1 @t1)))) % 1.53/1.77 (assume @p60 (forall @t3 (or @t46 (tptp.frontsegP @t1 tptp.nil)))) % 1.53/1.77 (assume @p61 (forall @t3 (or @t46 (tptp.frontsegP @t1 @t1)))) % 1.53/1.77 (assume @p62 (forall @t3 (or @t45 (tptp.leq @t1 @t1)))) % 1.53/1.77 (assume @p63 (forall @t3 (or (not (tptp.lt @t1 @t1)) @t45))) % 1.53/1.77 (assume @p64 (forall @t3 (or @t45 (tptp.equalelemsP @t47)))) % 1.53/1.77 (assume @p65 (forall @t3 (or @t45 (tptp.duplicatefreeP @t47)))) % 1.53/1.77 (assume @p66 (forall @t3 (or @t45 (tptp.strictorderedP @t47)))) % 1.53/1.77 (assume @p67 (forall @t3 (or @t45 (tptp.totalorderedP @t47)))) % 1.53/1.77 (assume @p68 (forall @t3 (or @t45 (tptp.strictorderP @t47)))) % 1.53/1.77 (assume @p69 (forall @t3 (or @t45 (tptp.totalorderP @t47)))) % 1.53/1.77 (assume @p70 (forall @t3 (or @t45 (tptp.cyclefreeP @t47)))) % 1.53/1.77 (assume @p71 (forall @t3 (or (not (tptp.memberP tptp.nil @t1)) @t45))) % 1.53/1.77 (assume @p72 (forall @t40 (or @t46 @t49 @t48))) % 1.53/1.77 (assume @p73 (forall @t3 (or @t46 (= (tptp.app @t1 tptp.nil) @t1)))) % 1.53/1.77 (assume @p74 (forall @t3 (or @t46 (= (tptp.app tptp.nil @t1) @t1)))) % 1.53/1.77 (assume @p75 (forall @t3 (or @t46 (tptp.ssList @t51) @t50))) % 1.53/1.77 (assume @p76 (forall @t3 (or @t46 (tptp.ssItem @t52) @t50))) % 1.53/1.77 (assume @p77 (forall @t3 (or @t54 @t46 @t53))) % 1.53/1.77 (assume @p78 (forall @t3 (or (not @t53) @t46 @t50))) % 1.53/1.77 (assume @p79 (forall @t3 (or @t54 @t46 @t55))) % 1.53/1.77 (assume @p80 (forall @t3 (or (not @t55) @t46 @t50))) % 1.53/1.77 (assume @p81 (forall @t3 (or @t54 @t46 @t56))) % 1.53/1.77 (assume @p82 (forall @t3 (or (not @t56) @t46 @t50))) % 1.53/1.77 (assume @p83 (forall @t40 (or @t46 @t58 (tptp.ssList @t57)))) % 1.53/1.77 (assume @p84 (forall @t40 (or @t45 @t58 (tptp.ssList @t59)))) % 1.53/1.77 (assume @p85 (forall @t3 (or @t46 @t60 (tptp.leq @t36 @t37)))) % 1.53/1.77 (assume @p86 (forall @t3 (or @t46 @t60 (tptp.leq @t37 @t36)))) % 1.53/1.77 (assume @p87 (forall @t3 (or (not (= @t7 @t8)) @t46 @t61))) % 1.53/1.77 (assume @p88 (forall @t3 (or (not (tptp.lt @t17 @t16)) @t46 @t62))) % 1.53/1.77 (assume @p89 (forall @t3 (or (not (tptp.leq @t22 @t21)) @t46 @t63))) % 1.53/1.77 (assume @p90 (forall @t3 (or (not (tptp.lt @t26 @t27)) @t46 @t64))) % 1.53/1.77 (assume @p91 (forall @t3 (or (not (tptp.lt @t27 @t26)) @t46 @t64))) % 1.53/1.77 (assume @p92 (forall @t3 (or (not (tptp.leq @t31 @t32)) @t46 @t65))) % 1.53/1.77 (assume @p93 (forall @t3 (or (not (tptp.leq @t32 @t31)) @t46 @t65))) % 1.53/1.77 (assume @p94 (forall @t40 (or @t45 @t58 (= (tptp.tl @t59) @t39)))) % 1.53/1.77 (assume @p95 (forall @t40 (or @t45 @t58 (= (tptp.hd @t59) @t1)))) % 1.53/1.77 (assume @p96 (forall @t40 (or (not (= @t59 tptp.nil)) @t45 @t58))) % 1.53/1.77 (assume @p97 (forall @t40 (or (not (= @t59 @t39)) @t45 @t58))) % 1.53/1.77 (assume @p98 (forall @t40 (or @t46 @t58 @t67 @t66))) % 1.53/1.77 (assume @p99 (forall @t3 (or (not (tptp.singletonP @t1)) @t46 (= (tptp.cons @t38 tptp.nil) @t1)))) % 1.53/1.77 (assume @p100 (forall @t40 (or @t45 @t68 @t67 @t66))) % 1.53/1.77 (assume @p101 (forall @t40 (or @t71 @t68 @t45 @t69))) % 1.53/1.77 (assume @p102 (forall @t3 (or @t46 (= (tptp.cons @t52 @t51) @t1) @t50))) % 1.53/1.77 (assume @p103 (forall @t40 (or @t73 @t68 @t45 @t72))) % 1.53/1.77 (assume @p104 (forall @t40 (or @t71 @t45 @t68 @t74))) % 1.53/1.77 (assume @p105 (forall @t40 (or @t76 @t68 @t45 @t75))) % 1.53/1.77 (assume @p106 (forall @t40 (or @t78 @t45 @t68 @t77))) % 1.53/1.77 (assume @p107 @t81) % 1.53/1.77 (assume @p108 (forall @t40 (or @t73 (not @t74) @t45 @t68))) % 1.53/1.77 (assume @p109 (forall @t40 (or @t83 @t71 @t68 @t45))) % 1.53/1.77 (assume @p110 (forall @t40 (or @t54 @t46 @t68 (tptp.strictorderedP @t84)))) % 1.53/1.77 (assume @p111 (forall @t40 (or @t54 @t46 @t68 (tptp.totalorderedP @t84)))) % 1.53/1.77 (assume @p112 (forall @t40 (or @t71 (not @t72) @t45 @t68))) % 1.53/1.77 (assume @p113 @t87) % 1.53/1.77 (assume @p114 (forall @t40 (or (not (= @t47 @t39)) @t45 @t58 (tptp.singletonP @t39)))) % 1.53/1.77 (assume @p115 (forall @t40 (or @t83 @t85 @t68 @t45))) % 1.53/1.77 (assume @p116 (forall @t40 (or @t90 @t58 @t46 @t50))) % 1.53/1.77 (assume @p117 (forall @t40 (or @t90 @t58 @t46 @t91))) % 1.53/1.77 (assume @p118 @t94) % 1.53/1.77 (assume @p119 (forall @t40 (or @t78 @t68 @t45 @t70 @t82))) % 1.53/1.77 (assume @p120 (forall @t40 (or @t46 @t58 @t91 (= (tptp.hd @t57) @t95)))) % 1.53/1.77 (assume @p121 (forall @t40 (or @t98 @t58 @t45 @t96 @t91))) % 1.53/1.77 (assume @p122 (forall @t40 (or @t101 @t58 @t45 @t99 @t91))) % 1.53/1.77 (assume @p123 (forall @t40 (or @t76 (not @t77) @t45 @t68 @t66))) % 1.53/1.77 (assume @p124 (forall @t40 (or @t102 (not (tptp.segmentP @t39 @t1)) @t46 @t58 @t66))) % 1.53/1.77 (assume @p125 (forall @t40 (or @t103 (not (tptp.rearsegP @t39 @t1)) @t46 @t58 @t66))) % 1.53/1.77 (assume @p126 (forall @t40 (or @t104 (not (tptp.frontsegP @t39 @t1)) @t46 @t58 @t66))) % 1.53/1.77 (assume @p127 (forall @t40 (or @t78 @t105 @t45 @t68 @t66))) % 1.53/1.77 (assume @p128 (forall @t40 (or @t103 @t58 @t46 (= (tptp.app @t42 @t39) @t1)))) % 1.53/1.77 (assume @p129 (forall @t40 (or @t104 @t58 @t46 (= (tptp.app @t39 @t43) @t1)))) % 1.53/1.77 (assume @p130 (forall @t40 (or @t46 @t58 @t91 (= (tptp.tl @t57) (tptp.app @t106 @t1))))) % 1.53/1.77 (assume @p131 (forall @t40 (or @t98 @t58 @t45 @t107 @t91))) % 1.53/1.77 (assume @p132 (forall @t40 (or @t101 @t58 @t45 @t108 @t91))) % 1.53/1.77 (assume @p133 (forall @t112 (or @t103 @t111 @t58 @t46 (tptp.rearsegP @t110 @t39)))) % 1.53/1.77 (assume @p134 (forall @t112 (or @t104 @t111 @t58 @t46 (tptp.frontsegP @t113 @t39)))) % 1.53/1.77 (assume @p135 (forall @t112 (or @t83 @t111 @t68 @t45 (tptp.memberP @t114 @t1)))) % 1.53/1.77 (assume @p136 (forall @t112 (or @t117 @t46 @t116 @t68 (tptp.memberP @t115 @t39)))) % 1.53/1.77 (assume @p137 (forall @t112 (or @t117 @t111 @t46 @t68 (tptp.memberP @t113 @t39)))) % 1.53/1.77 (assume @p138 (forall @t112 (or @t117 @t46 @t111 @t68 (tptp.memberP @t110 @t39)))) % 1.53/1.77 (assume @p139 (forall @t3 (or @t46 @t61 (= (tptp.app @t6 (tptp.cons @t8 (tptp.cons @t7 @t5))) @t1)))) % 1.53/1.77 (assume @p140 (forall @t112 (or @t118 @t46 @t58 @t111 (tptp.rearsegP @t109 @t39)))) % 1.53/1.77 (assume @p141 (forall @t112 (or @t118 @t58 @t46 @t111 (tptp.frontsegP @t109 @t1)))) % 1.53/1.77 (assume @p142 (forall @t40 (or @t54 (not @t91) @t58 @t46 @t89))) % 1.53/1.77 (assume @p143 (forall @t112 (or @t73 (not (tptp.gt @t39 @t109)) @t116 @t68 @t45 (tptp.gt @t1 @t109)))) % 1.53/1.77 (assume @p144 (forall @t112 (or @t78 @t120 @t116 @t68 @t45 @t119))) % 1.53/1.77 (assume @p145 (forall @t112 (or @t76 (not (tptp.geq @t39 @t109)) @t116 @t68 @t45 (tptp.geq @t1 @t109)))) % 1.53/1.77 (assume @p146 (forall @t112 (or @t46 @t58 @t111 (= (tptp.app @t121 @t1) (tptp.app @t109 @t57))))) % 1.53/1.77 (assume @p147 (forall @t112 (or (not (= @t88 @t113)) @t58 @t46 @t111 @t122))) % 1.53/1.77 (assume @p148 (forall @t112 (or (not (= @t88 @t121)) @t46 @t58 @t111 @t123))) % 1.53/1.77 (assume @p149 (forall @t112 (or @t102 (not (tptp.segmentP @t39 @t109)) @t111 @t58 @t46 (tptp.segmentP @t1 @t109)))) % 1.53/1.77 (assume @p150 (forall @t112 (or @t103 (not (tptp.rearsegP @t39 @t109)) @t111 @t58 @t46 (tptp.rearsegP @t1 @t109)))) % 1.53/1.77 (assume @p151 (forall @t112 (or @t104 (not (tptp.frontsegP @t39 @t109)) @t111 @t58 @t46 (tptp.frontsegP @t1 @t109)))) % 1.53/1.77 (assume @p152 (forall @t112 (or @t71 @t120 @t116 @t68 @t45 @t119))) % 1.53/1.77 (assume @p153 (forall @t112 (or @t78 (not (tptp.leq @t39 @t109)) @t116 @t68 @t45 (tptp.leq @t1 @t109)))) % 1.53/1.77 (assume @p154 (forall @t112 (or @t45 @t58 @t111 (= (tptp.cons @t1 (tptp.app @t39 @t109)) (tptp.app @t59 @t109))))) % 1.53/1.77 (assume @p155 (forall @t112 (or (not (tptp.memberP @t88 @t109)) @t58 @t46 @t116 @t124 (tptp.memberP @t1 @t109)))) % 1.53/1.77 (assume @p156 (forall @t40 (or (not @t108) (not @t99) @t58 @t45 @t100 @t91))) % 1.53/1.77 (assume @p157 (forall @t40 (or (not @t107) (not @t96) @t58 @t45 @t97 @t91))) % 1.53/1.77 (assume @p158 (forall @t112 (or (not (tptp.memberP @t59 @t109)) @t58 @t45 @t116 @t124 (= @t109 @t1)))) % 1.53/1.77 (assume @p159 (forall @t3 (or @t46 @t49 (= (tptp.app (tptp.app @t11 (tptp.cons @t12 @t10)) (tptp.cons @t12 @t9)) @t1)))) % 1.53/1.77 (assume @p160 (forall @t3 (or @t46 @t62 (= (tptp.app (tptp.app @t15 (tptp.cons @t17 @t14)) (tptp.cons @t16 @t13)) @t1)))) % 1.53/1.77 (assume @p161 (forall @t3 (or @t46 @t63 (= (tptp.app (tptp.app @t20 (tptp.cons @t22 @t19)) (tptp.cons @t21 @t18)) @t1)))) % 1.53/1.77 (assume @p162 (forall @t3 (or @t46 @t64 (= (tptp.app (tptp.app @t25 (tptp.cons @t27 @t24)) (tptp.cons @t26 @t23)) @t1)))) % 1.53/1.77 (assume @p163 (forall @t3 (or @t46 @t65 (= (tptp.app (tptp.app @t30 (tptp.cons @t32 @t29)) (tptp.cons @t31 @t28)) @t1)))) % 1.53/1.77 (assume @p164 (forall @t3 (or @t46 @t60 (= (tptp.app (tptp.app @t35 (tptp.cons @t37 @t34)) (tptp.cons @t36 @t33)) @t1)))) % 1.53/1.77 (assume @p165 (forall @t40 (or @t102 @t58 @t46 (= (tptp.app (tptp.app @t41 @t39) (tptp.skaf48 @t39 @t1)) @t1)))) % 1.53/1.77 (assume @p166 (forall @t40 (or @t117 @t68 @t46 (= (tptp.app @t44 (tptp.cons @t39 (tptp.skaf43 @t39 @t1))) @t1)))) % 1.53/1.77 (assume @p167 (forall @t129 (or @t128 @t116 @t45 @t126 @t58 @t123))) % 1.53/1.77 (assume @p168 (forall @t129 (or @t128 @t116 @t45 @t126 @t58 (= @t125 @t39)))) % 1.53/1.77 (assume @p169 (forall @t129 (or @t102 @t111 @t126 @t58 @t46 (tptp.segmentP (tptp.app (tptp.app @t125 @t1) @t109) @t39)))) % 1.53/1.77 (assume @p170 (forall @t129 (or (not (= (tptp.app @t88 @t109) @t125)) @t111 @t46 @t58 @t126 (tptp.segmentP @t125 @t39)))) % 1.53/1.77 (assume @p171 (forall @t129 (or @t130 @t126 @t58 @t116 @t45 (tptp.frontsegP @t39 @t125)))) % 1.53/1.77 (assume @p172 (forall @t129 (or (not (= @t131 @t125)) @t111 @t46 @t68 @t126 (tptp.memberP @t125 @t39)))) % 1.53/1.77 (assume @p173 (forall @t129 (or @t130 @t126 @t58 @t116 @t45 @t123))) % 1.53/1.77 (assume @p174 (forall @t40 (or (not (= @t51 @t106)) (not (= @t52 @t95)) @t46 @t58 @t91 @t82 @t50))) % 1.53/1.77 (assume @p175 (forall @t129 (or @t104 (not (= @t109 @t125)) @t58 @t46 @t132 @t116 (tptp.frontsegP @t115 (tptp.cons @t125 @t39))))) % 1.53/1.77 (assume @p176 (forall @t135 (or (not (= (tptp.app @t131 (tptp.cons @t39 @t125)) @t133)) @t126 @t111 @t46 @t68 (not (tptp.duplicatefreeP @t133)) @t134))) % 1.53/1.77 (assume @p177 (forall @t135 (or (not (= (tptp.app @t1 (tptp.cons @t39 @t127)) @t133)) @t126 @t46 @t116 @t68 (not (tptp.equalelemsP @t133)) @t134 @t122))) % 1.53/1.77 (assume @p178 (forall @t140 (or @t139 @t134 @t111 @t46 @t132 @t68 (not (tptp.strictorderedP @t137)) @t138 @t136))) % 1.53/1.77 (assume @p179 (forall @t140 (or @t139 @t134 @t111 @t46 @t132 @t68 (not (tptp.totalorderedP @t137)) @t138 @t141))) % 1.53/1.77 (assume @p180 (forall @t140 (or @t139 @t134 @t111 @t46 @t132 @t68 (not (tptp.strictorderP @t137)) @t138 @t136 (tptp.lt @t125 @t39)))) % 1.53/1.77 (assume @p181 (forall @t140 (or @t139 @t134 @t111 @t46 @t132 @t68 (not (tptp.totalorderP @t137)) @t138 @t141 (tptp.leq @t125 @t39)))) % 1.53/1.77 (assume @p182 (forall @t140 (or @t78 @t105 (not (= (tptp.app (tptp.app @t109 (tptp.cons @t1 @t125)) (tptp.cons @t39 @t133)) @t137)) @t134 @t126 @t111 @t68 @t45 (not (tptp.cyclefreeP @t137)) @t138))) % 1.53/1.77 (assume @p183 (tptp.ssList tptp.sk1)) % 1.53/1.77 (assume @p184 @t142) % 1.53/1.77 (assume @p185 (tptp.ssList tptp.sk3)) % 1.53/1.77 (assume @p186 (tptp.ssList tptp.sk4)) % 1.53/1.77 (assume @p187 @t143) % 1.53/1.77 (assume @p188 @t144) % 1.53/1.77 (assume @p189 @t145) % 1.53/1.77 (assume @p190 @t157) % 1.53/1.77 (assume @p191 @t160) % 1.53/1.77 (assume @p192 (or (= tptp.nil tptp.sk3) (not (= tptp.nil tptp.sk4)))) % 1.53/1.77 (step @p193 :rule eq-symm :args (@t151 tptp.sk4)) % 1.53/1.77 (step @p194 :rule cong :premises (@p193) :args (@t158)) % 1.53/1.77 (step @p195 :rule eq-symm :args (@t149 tptp.sk3)) % 1.53/1.77 (step @p196 :rule refl :args (@t153)) % 1.53/1.77 (step @p197 :rule refl :args (@t154)) % 1.53/1.77 (step @p198 :rule nary_cong :premises (@p197 @p196 @p195 @p194) :args (@t159)) % 1.53/1.77 (step @p199 :rule cong :premises (@p198) :args (@t160)) % 1.53/1.77 (step @p200 :rule eq_resolve :premises (@p191 @p199)) % 1.53/1.77 (step @p201 :rule instantiate :premises (@p200) :args (@t163)) % 1.53/1.77 (step @p202 :rule eq-symm :args (@t92 @t59)) % 1.53/1.77 (step @p203 :rule refl :args (@t58)) % 1.53/1.77 (step @p204 :rule refl :args (@t45)) % 1.53/1.77 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202) :args (@t93)) % 1.53/1.77 (step @p206 :rule cong :premises (@p205) :args (@t94)) % 1.53/1.77 (step @p207 :rule eq_resolve :premises (@p118 @p206)) % 1.53/1.77 (step @p208 :rule instantiate :premises (@p207) :args (@t163)) % 1.53/1.77 (step @p209 :rule instantiate :premises (@p13) :args (@t164)) % 1.53/1.77 (step @p210 :rule instantiate :premises (@p12) :args (@t164)) % 1.53/1.77 (step @p211 :rule cnf_or_pos :args (@t173)) % 1.53/1.77 (step @p212 :rule reordering :premises (@p211) :args ((or @t172 @t170 @t168 (not @t173)))) % 1.53/1.77 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p209 @p208) :args (@t168 @t174 (@list @t171 @t169 @t173))) % 1.53/1.77 (step @p214 :rule refl :args (@t50)) % 1.53/1.77 (step @p215 :rule eq-symm :args (@t79 @t1)) % 1.53/1.77 (step @p216 :rule refl :args (@t46)) % 1.53/1.77 (step @p217 :rule nary_cong :premises (@p216 @p215 @p214) :args (@t80)) % 1.53/1.77 (step @p218 :rule cong :premises (@p217) :args (@t81)) % 1.53/1.77 (step @p219 :rule eq_resolve :premises (@p107 @p218)) % 1.53/1.77 (step @p220 :rule instantiate :premises (@p219) :args (@t164)) % 1.53/1.77 (step @p221 :rule aci_norm :args ((= (or false @t175 @t58 @t58) (or @t175 @t58)))) % 1.53/1.77 (step @p222 :rule refl :args (@t175)) % 1.53/1.77 (step @p223 :rule evaluate :args ((not true))) % 1.53/1.77 (step @p224 :rule eq-refl :args (@t39)) % 1.53/1.77 (step @p225 :rule cong :premises (@p224) :args (@t176)) % 1.53/1.77 (step @p226 :rule trans :premises (@p225 @p223)) % 1.53/1.77 (step @p227 :rule nary_cong :premises (@p226 @p222 @p203 @p203) :args (@t177)) % 1.53/1.77 (step @p228 :rule trans :premises (@p227 @p221)) % 1.53/1.77 (step @p229 :rule cong :premises (@p228) :args ((forall @t178 @t177))) % 1.53/1.77 (step @p230 :rule quant-var-elim-eq :args ((= (forall @t3 @t179) @t177))) % 1.53/1.77 (step @p231 :rule aci_norm :args ((= @t86 @t179))) % 1.53/1.77 (step @p232 :rule cong :premises (@p231) :args (@t180)) % 1.53/1.77 (step @p233 :rule trans :premises (@p232 @p230)) % 1.53/1.77 (step @p234 :rule cong :premises (@p233) :args (@t181)) % 1.53/1.77 (step @p235 :rule quant-merge-prenex :args ((= @t181 @t182))) % 1.53/1.77 (step @p236 :rule symm :premises (@p235)) % 1.53/1.77 (step @p237 :rule quant_var_reordering :args ((= @t87 @t182))) % 1.53/1.77 (step @p238 :rule trans :premises (@p237 @p236 @p234)) % 1.53/1.77 (step @p239 :rule trans :premises (@p238 @p229)) % 1.53/1.77 (step @p240 :rule eq_resolve :premises (@p113 @p239)) % 1.53/1.77 (step @p241 :rule instantiate :premises (@p240) :args (@t164)) % 1.53/1.77 (step @p242 :rule cnf_or_pos :args (@t186)) % 1.53/1.77 (step @p243 :rule reordering :premises (@p242) :args ((or @t183 @t185 (not @t186)))) % 1.53/1.77 (step @p244 :rule chain_m_resolution :premises (@p243 @p184 @p241) :args (@t185 @t187 (@list @t142 @t186))) % 1.53/1.77 (step @p245 :rule bool-double-not-elim :args (@t184)) % 1.53/1.77 (step @p246 :rule refl :args (@t189)) % 1.53/1.77 (step @p247 :rule refl :args (@t190)) % 1.53/1.77 (step @p248 :rule nary_cong :premises (@p247 @p246 @p245) :args ((or @t190 @t189 (not @t185)))) % 1.53/1.77 (assume-push @p343 @t145) % 1.53/1.77 (assume-push @p344 @t188) % 1.53/1.77 (assume-push @p345 @t185) % 1.53/1.77 (step @p252 :rule evaluate :args ((= false true))) % 1.53/1.77 (step @p253 :rule true_intro :premises (@p189)) % 1.53/1.77 (step @p254 :rule symm :premises (@p344)) % 1.53/1.77 (step @p255 :rule refl :args (tptp.sk2)) % 1.53/1.77 (step @p256 :rule cong :premises (@p255 @p254) :args (@t184)) % 1.53/1.77 (step @p257 :rule false_intro :premises (@p244)) % 1.53/1.77 (step @p258 :rule symm :premises (@p257)) % 1.53/1.77 (step @p259 :rule trans :premises (@p258 @p256 @p253)) % 1.53/1.77 (step @p260 false :rule eq_resolve :premises (@p259 @p252)) % 1.53/1.77 (step-pop @p346 :rule scope :premises (@p260)) % 1.53/1.77 (step-pop @p347 :rule scope :premises (@p346)) % 1.53/1.77 (step-pop @p348 :rule scope :premises (@p347)) % 1.53/1.77 (step @p261 :rule process_scope :premises (@p348) :args (false)) % 1.53/1.77 (step @p265 :rule not_and :premises (@p261)) % 1.53/1.77 (step @p266 :rule eq_resolve :premises (@p265 @p248)) % 1.53/1.77 (step @p267 :rule reordering :premises (@p266) :args ((or @t190 @t184 @t189))) % 1.53/1.77 (step @p268 :rule chain_m_resolution :premises (@p267 @p189 @p244) :args (@t189 (@list false true) (@list @t145 @t184))) % 1.53/1.77 (step @p269 :rule cnf_or_pos :args (@t192)) % 1.53/1.77 (step @p270 :rule reordering :premises (@p269) :args ((or @t183 @t188 @t191 (not @t192)))) % 1.53/1.77 (step @p271 :rule chain_m_resolution :premises (@p270 @p184 @p268 @p220) :args (@t191 (@list false true false) (@list @t142 @t188 @t192))) % 1.53/1.77 (assume-push @p349 @t143) % 1.53/1.77 (assume-push @p350 @t191) % 1.53/1.77 (assume-push @p351 @t168) % 1.53/1.77 (assume-push @p352 @t168) % 1.53/1.77 (assume-push @p353 @t191) % 1.53/1.77 (assume-push @p354 @t143) % 1.53/1.77 (step @p278 :rule symm :premises (@p187)) % 1.53/1.77 (step @p279 :rule trans :premises (@p278 @p350 @p213)) % 1.53/1.77 (step-pop @p355 :rule scope :premises (@p279)) % 1.53/1.77 (step-pop @p356 :rule scope :premises (@p355)) % 1.53/1.77 (step-pop @p357 :rule scope :premises (@p356)) % 1.53/1.77 (step @p280 :rule process_scope :premises (@p357) :args (@t193)) % 1.53/1.77 (step @p284 :rule and_intro :premises (@p213 @p350 @p187)) % 1.53/1.77 (step @p285 :rule modus_ponens :premises (@p284 @p280)) % 1.53/1.77 (step-pop @p358 :rule scope :premises (@p285)) % 1.53/1.77 (step-pop @p359 :rule scope :premises (@p358)) % 1.53/1.77 (step-pop @p360 :rule scope :premises (@p359)) % 1.53/1.77 (step @p286 :rule process_scope :premises (@p360) :args (@t193)) % 1.53/1.77 (step @p290 :rule implies_elim :premises (@p286)) % 1.53/1.77 (step @p291 :rule cnf_and_neg :args (@t194)) % 1.53/1.77 (step @p292 :rule resolution :premises (@p291 @p290) :args (true @t194)) % 1.53/1.77 (step @p293 :rule chain_m_resolution :premises (@p292 @p187 @p271 @p213) :args (@t193 @t174 (@list @t143 @t191 @t168))) % 1.53/1.77 (step @p294 :rule cnf_or_pos :args (@t198)) % 1.53/1.77 (step @p295 :rule reordering :premises (@p294) :args ((or @t172 @t170 @t197 @t195 (not @t198)))) % 1.53/1.77 (step @p296 :rule chain_m_resolution :premises (@p295 @p210 @p209 @p293 @p201) :args (@t197 @t199 (@list @t171 @t169 @t193 @t198))) % 1.53/1.77 (step @p297 :rule eq-symm :args (@t149 tptp.sk1)) % 1.53/1.77 (step @p298 :rule cong :premises (@p297) :args (@t150)) % 1.53/1.77 (step @p299 :rule eq-symm :args (@t151 tptp.sk2)) % 1.53/1.77 (step @p300 :rule cong :premises (@p299) :args (@t152)) % 1.53/1.77 (step @p301 :rule nary_cong :premises (@p197 @p196 @p300 @p298) :args (@t155)) % 1.53/1.77 (step @p302 :rule cong :premises (@p301) :args (@t157)) % 1.53/1.77 (step @p303 :rule eq_resolve :premises (@p190 @p302)) % 1.53/1.77 (step @p304 :rule instantiate :premises (@p303) :args (@t163)) % 1.53/1.77 (assume-push @p361 @t191) % 1.53/1.77 (assume-push @p362 @t168) % 1.53/1.77 (assume-push @p363 @t168) % 1.53/1.77 (assume-push @p364 @t191) % 1.53/1.77 (step @p309 :rule trans :premises (@p361 @p213)) % 1.53/1.77 (step-pop @p365 :rule scope :premises (@p309)) % 1.53/1.77 (step-pop @p366 :rule scope :premises (@p365)) % 1.53/1.77 (step @p310 :rule process_scope :premises (@p366) :args (@t200)) % 1.53/1.77 (step @p313 :rule and_intro :premises (@p213 @p361)) % 1.53/1.77 (step @p314 :rule modus_ponens :premises (@p313 @p310)) % 1.53/1.77 (step-pop @p367 :rule scope :premises (@p314)) % 1.53/1.77 (step-pop @p368 :rule scope :premises (@p367)) % 1.53/1.77 (step @p315 :rule process_scope :premises (@p368) :args (@t200)) % 1.53/1.77 (step @p318 :rule implies_elim :premises (@p315)) % 1.53/1.78 (step @p319 :rule cnf_and_neg :args (@t201)) % 1.53/1.78 (step @p320 :rule resolution :premises (@p319 @p318) :args (true @t201)) % 1.53/1.78 (step @p321 :rule chain_m_resolution :premises (@p320 @p271 @p213) :args (@t200 @t187 (@list @t191 @t168))) % 1.53/1.78 (step @p322 :rule cnf_or_pos :args (@t205)) % 1.53/1.78 (step @p323 :rule reordering :premises (@p322) :args ((or @t172 @t170 @t204 @t203 (not @t205)))) % 1.53/1.78 (step @p324 :rule chain_m_resolution :premises (@p323 @p210 @p209 @p321 @p304) :args (@t203 @t199 (@list @t171 @t169 @t200 @t205))) % 1.53/1.78 (assume-push @p369 @t144) % 1.53/1.78 (assume-push @p370 @t197) % 1.53/1.78 (assume-push @p371 @t197) % 1.53/1.78 (assume-push @p372 @t144) % 1.53/1.78 (step @p329 :rule trans :premises (@p188 @p370)) % 1.53/1.78 (step-pop @p373 :rule scope :premises (@p329)) % 1.53/1.78 (step-pop @p374 :rule scope :premises (@p373)) % 1.53/1.78 (step @p330 :rule process_scope :premises (@p374) :args (@t202)) % 1.53/1.78 (step @p333 :rule and_intro :premises (@p370 @p188)) % 1.53/1.78 (step @p334 :rule modus_ponens :premises (@p333 @p330)) % 1.53/1.78 (step-pop @p375 :rule scope :premises (@p334)) % 1.53/1.78 (step-pop @p376 :rule scope :premises (@p375)) % 1.53/1.78 (step @p335 :rule process_scope :premises (@p376) :args (@t202)) % 1.53/1.78 (step @p338 :rule implies_elim :premises (@p335)) % 1.53/1.78 (step @p339 :rule cnf_and_neg :args (@t206)) % 1.53/1.78 (step @p340 :rule resolution :premises (@p339 @p338) :args (true @t206)) % 1.53/1.78 (step @p341 :rule reordering :premises (@p340) :args ((or (not @t144) @t202 (not @t197)))) % 1.53/1.78 (step @p342 false :rule chain_m_resolution :premises (@p341 @p324 @p296 @p188) :args (false (@list true false false) (@list @t202 @t197 @t144))) % 1.53/1.78 ) % 1.53/1.78 % SZS output end Proof % 1.53/1.78 % cvc5 exiting %------------------------------------------------------------------------------