%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC124+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 : n015.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 08:58:09 AM UTC 2026 % Result : Theorem 0.95s 1.15s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWC124+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:16:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.95/1.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.95/1.15 % SZS status Theorem % 0.95/1.15 % SZS output start Proof % 0.95/1.15 ( % 0.95/1.15 (declare-sort $$unsorted 0) % 0.95/1.15 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.nil $$unsorted) % 0.95/1.15 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.95/1.15 (define @t1 () (@var "V" $$unsorted)) % 0.95/1.15 (define @t2 () (@var "U" $$unsorted)) % 0.95/1.15 (define @t3 () (= @t2 @t1)) % 0.95/1.15 (define @t4 () (not @t3)) % 0.95/1.15 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.95/1.15 (define @t6 () (tptp.ssItem @t1)) % 0.95/1.15 (define @t7 () (@list @t1)) % 0.95/1.15 (define @t8 () (tptp.ssItem @t2)) % 0.95/1.15 (define @t9 () (@list @t2)) % 0.95/1.15 (define @t10 () (@var "X" $$unsorted)) % 0.95/1.15 (define @t11 () (tptp.cons @t1 @t10)) % 0.95/1.15 (define @t12 () (@var "W" $$unsorted)) % 0.95/1.15 (define @t13 () (tptp.ssList @t10)) % 0.95/1.15 (define @t14 () (@list @t10)) % 0.95/1.15 (define @t15 () (tptp.ssList @t12)) % 0.95/1.15 (define @t16 () (@list @t12)) % 0.95/1.15 (define @t17 () (tptp.ssList @t2)) % 0.95/1.15 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.95/1.15 (define @t19 () (tptp.app @t1 @t12)) % 0.95/1.15 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.95/1.15 (define @t21 () (tptp.ssList @t1)) % 0.95/1.15 (define @t22 () (tptp.app @t12 @t1)) % 0.95/1.15 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.95/1.15 (define @t24 () (tptp.app @t22 @t10)) % 0.95/1.15 (define @t25 () (and @t13 (= @t24 @t2))) % 0.95/1.15 (define @t26 () (exists @t14 @t25)) % 0.95/1.15 (define @t27 () (and @t15 @t26)) % 0.95/1.15 (define @t28 () (exists @t16 @t27)) % 0.95/1.15 (define @t29 () (tptp.segmentP @t2 @t1)) % 0.95/1.15 (define @t30 () (= @t29 @t28)) % 0.95/1.15 (define @t31 () (=> @t21 @t30)) % 0.95/1.15 (define @t32 () (forall @t7 @t31)) % 0.95/1.15 (define @t33 () (=> @t17 @t32)) % 0.95/1.15 (define @t34 () (forall @t9 @t33)) % 0.95/1.15 (define @t35 () (tptp.leq @t12 @t1)) % 0.95/1.15 (define @t36 () (tptp.leq @t1 @t12)) % 0.95/1.15 (define @t37 () (@var "Z" $$unsorted)) % 0.95/1.15 (define @t38 () (@var "Y" $$unsorted)) % 0.95/1.15 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 0.95/1.15 (define @t40 () (tptp.ssList @t37)) % 0.95/1.15 (define @t41 () (@list @t37)) % 0.95/1.15 (define @t42 () (tptp.ssList @t38)) % 0.95/1.15 (define @t43 () (@list @t38)) % 0.95/1.15 (define @t44 () (tptp.ssItem @t12)) % 0.95/1.15 (define @t45 () (tptp.lt @t1 @t12)) % 0.95/1.15 (define @t46 () (tptp.totalorderedP @t2)) % 0.95/1.15 (define @t47 () (= @t1 @t12)) % 0.95/1.15 (define @t48 () (forall @t7 (=> @t21 @t5))) % 0.95/1.15 (define @t49 () (=> @t17 @t48)) % 0.95/1.15 (define @t50 () (forall @t9 @t49)) % 0.95/1.15 (define @t51 () (tptp.cons @t1 @t2)) % 0.95/1.15 (define @t52 () (tptp.ssList tptp.nil)) % 0.95/1.15 (define @t53 () (= @t1 @t2)) % 0.95/1.15 (define @t54 () (tptp.cons @t12 @t1)) % 0.95/1.15 (define @t55 () (= tptp.nil @t2)) % 0.95/1.15 (define @t56 () (tptp.hd @t2)) % 0.95/1.15 (define @t57 () (not @t55)) % 0.95/1.15 (define @t58 () (tptp.tl @t2)) % 0.95/1.15 (define @t59 () (tptp.app @t2 @t1)) % 0.95/1.15 (define @t60 () (tptp.app @t1 @t2)) % 0.95/1.15 (define @t61 () (tptp.app tptp.nil @t2)) % 0.95/1.15 (define @t62 () (=> @t17 (= @t61 @t2))) % 0.95/1.15 (define @t63 () (forall @t9 @t62)) % 0.95/1.15 (define @t64 () (tptp.leq @t1 @t2)) % 0.95/1.15 (define @t65 () (tptp.leq @t2 @t1)) % 0.95/1.15 (define @t66 () (tptp.geq @t2 @t1)) % 0.95/1.15 (define @t67 () (tptp.lt @t1 @t2)) % 0.95/1.15 (define @t68 () (tptp.lt @t2 @t1)) % 0.95/1.15 (define @t69 () (tptp.lt @t2 @t12)) % 0.95/1.15 (define @t70 () (tptp.gt @t2 @t1)) % 0.95/1.15 (define @t71 () (tptp.memberP @t12 @t2)) % 0.95/1.15 (define @t72 () (tptp.app @t12 @t2)) % 0.95/1.15 (define @t73 () (tptp.segmentP @t1 @t2)) % 0.95/1.15 (define @t74 () (tptp.cons @t2 tptp.nil)) % 0.95/1.15 (define @t75 () (tptp.hd @t1)) % 0.95/1.15 (define @t76 () (= tptp.nil @t1)) % 0.95/1.15 (define @t77 () (not @t76)) % 0.95/1.15 (define @t78 () (tptp.cons @t2 @t1)) % 0.95/1.15 (define @t79 () (= @t12 @t2)) % 0.95/1.15 (define @t80 () (tptp.neq @t2 tptp.nil)) % 0.95/1.15 (define @t81 () (and @t80 @t73)) % 0.95/1.15 (define @t82 () (not (= tptp.nil @t10))) % 0.95/1.15 (define @t83 () (and @t82 (= tptp.nil @t12))) % 0.95/1.15 (define @t84 () (@var "X2" $$unsorted)) % 0.95/1.15 (define @t85 () (tptp.leq @t84 @t37)) % 0.95/1.15 (define @t86 () (tptp.cons @t84 tptp.nil)) % 0.95/1.15 (define @t87 () (@var "X3" $$unsorted)) % 0.95/1.15 (define @t88 () (tptp.app @t87 @t86)) % 0.95/1.15 (define @t89 () (tptp.ssList @t87)) % 0.95/1.15 (define @t90 () (and @t89 (= @t88 @t12) @t85)) % 0.95/1.15 (define @t91 () (@list @t87)) % 0.95/1.15 (define @t92 () (exists @t91 @t90)) % 0.95/1.15 (define @t93 () (tptp.ssItem @t84)) % 0.95/1.15 (define @t94 () (and @t93 @t92)) % 0.95/1.15 (define @t95 () (@list @t84)) % 0.95/1.15 (define @t96 () (exists @t95 @t94)) % 0.95/1.15 (define @t97 () (@var "X1" $$unsorted)) % 0.95/1.15 (define @t98 () (tptp.cons @t37 tptp.nil)) % 0.95/1.15 (define @t99 () (tptp.app @t98 @t97)) % 0.95/1.15 (define @t100 () (tptp.ssList @t97)) % 0.95/1.15 (define @t101 () (and @t100 (= @t99 @t38) @t96)) % 0.95/1.15 (define @t102 () (@list @t97)) % 0.95/1.15 (define @t103 () (exists @t102 @t101)) % 0.95/1.15 (define @t104 () (tptp.ssItem @t37)) % 0.95/1.15 (define @t105 () (and @t104 @t103)) % 0.95/1.15 (define @t106 () (exists @t41 @t105)) % 0.95/1.15 (define @t107 () (not (tptp.totalorderedP @t12))) % 0.95/1.15 (define @t108 () (tptp.app @t12 @t38)) % 0.95/1.15 (define @t109 () (not (= @t108 @t10))) % 0.95/1.15 (define @t110 () (or @t109 @t107 @t106)) % 0.95/1.15 (define @t111 () (=> @t42 @t110)) % 0.95/1.15 (define @t112 () (forall @t43 @t111)) % 0.95/1.15 (define @t113 () (not (tptp.neq @t1 tptp.nil))) % 0.95/1.15 (define @t114 () (not (= @t2 @t12))) % 0.95/1.15 (define @t115 () (not (= @t1 @t10))) % 0.95/1.15 (define @t116 () (or @t115 @t114 @t113 @t112 @t83 @t81)) % 0.95/1.15 (define @t117 () (=> @t13 @t116)) % 0.95/1.15 (define @t118 () (forall @t14 @t117)) % 0.95/1.15 (define @t119 () (=> @t15 @t118)) % 0.95/1.15 (define @t120 () (forall @t16 @t119)) % 0.95/1.15 (define @t121 () (=> @t21 @t120)) % 0.95/1.15 (define @t122 () (forall @t7 @t121)) % 0.95/1.15 (define @t123 () (=> @t17 @t122)) % 0.95/1.15 (define @t124 () (forall @t9 @t123)) % 0.95/1.15 (define @t125 () (not @t124)) % 0.95/1.15 (define @t126 () (= @t2 @t61)) % 0.95/1.15 (define @t127 () (@var "BOUND_VARIABLE_11197" $$unsorted)) % 0.95/1.15 (define @t128 () (@var "BOUND_VARIABLE_11027" $$unsorted)) % 0.95/1.15 (define @t129 () (tptp.app @t98 @t128)) % 0.95/1.15 (define @t130 () (not (tptp.ssList @t128))) % 0.95/1.15 (define @t131 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 0.95/1.15 (define @t132 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 0.95/1.15 (define @t133 () (tptp.app @t132 (tptp.cons @t131 tptp.nil))) % 0.95/1.15 (define @t134 () (not (= @t2 @t133))) % 0.95/1.15 (define @t135 () (not (tptp.ssList @t132))) % 0.95/1.15 (define @t136 () (not (tptp.leq @t131 @t37))) % 0.95/1.15 (define @t137 () (not (tptp.ssItem @t131))) % 0.95/1.15 (define @t138 () (not @t104)) % 0.95/1.15 (define @t139 () (@list @t37 @t131 @t132 @t128)) % 0.95/1.15 (define @t140 () (not (forall @t139 (or @t138 @t137 @t136 @t135 @t134 @t130 (not (= @t129 @t127)))))) % 0.95/1.15 (define @t141 () (not (tptp.ssList @t127))) % 0.95/1.15 (define @t142 () (= @t2 tptp.nil)) % 0.95/1.15 (define @t143 () (tptp.app @t2 @t127)) % 0.95/1.15 (define @t144 () (and (not (= tptp.nil @t143)) @t142)) % 0.95/1.15 (define @t145 () (and @t80 (tptp.segmentP @t143 @t2))) % 0.95/1.15 (define @t146 () (not (tptp.neq @t143 tptp.nil))) % 0.95/1.15 (define @t147 () (not (tptp.ssList @t143))) % 0.95/1.15 (define @t148 () (not @t46)) % 0.95/1.15 (define @t149 () (not @t17)) % 0.95/1.15 (define @t150 () (or @t149 @t148 @t147 @t146 @t145 @t144 @t141 @t140)) % 0.95/1.15 (define @t151 () (@list @t2 @t127)) % 0.95/1.15 (define @t152 () (forall @t151 @t150)) % 0.95/1.15 (define @t153 () (@quantifiers_skolemize @t152 0)) % 0.95/1.15 (define @t154 () (or @t147 @t146 @t145 @t144 @t141 @t140)) % 0.95/1.15 (define @t155 () (or @t149 @t148 @t154)) % 0.95/1.15 (define @t156 () (forall @t151 @t155)) % 0.95/1.15 (define @t157 () (@list @t127)) % 0.95/1.15 (define @t158 () (forall @t157 @t155)) % 0.95/1.15 (define @t159 () (forall @t157 @t154)) % 0.95/1.15 (define @t160 () (@var "BOUND_VARIABLE_11155" $$unsorted)) % 0.95/1.15 (define @t161 () (@list @t160)) % 0.95/1.15 (define @t162 () (or @t149 @t148 @t159)) % 0.95/1.15 (define @t163 () (not (forall @t139 (or @t138 @t137 @t136 @t135 @t134 @t130 (not (= @t129 @t160)))))) % 0.95/1.15 (define @t164 () (not (tptp.ssList @t160))) % 0.95/1.15 (define @t165 () (tptp.app @t2 @t160)) % 0.95/1.15 (define @t166 () (and (not (= tptp.nil @t165)) @t142)) % 0.95/1.15 (define @t167 () (and @t80 (tptp.segmentP @t165 @t2))) % 0.95/1.15 (define @t168 () (not (tptp.neq @t165 tptp.nil))) % 0.95/1.15 (define @t169 () (not (tptp.ssList @t165))) % 0.95/1.15 (define @t170 () (or @t169 @t168 @t167 @t166 @t164 @t163)) % 0.95/1.15 (define @t171 () (@list @t160)) % 0.95/1.15 (define @t172 () (or @t149 @t148 (forall @t171 @t170))) % 0.95/1.15 (define @t173 () (not (= @t165 @t165))) % 0.95/1.15 (define @t174 () (not (= @t165 tptp.nil))) % 0.95/1.15 (define @t175 () (and @t174 @t142)) % 0.95/1.15 (define @t176 () (or @t169 @t168 @t167 @t175 @t164 @t173 @t163)) % 0.95/1.15 (define @t177 () (not (= @t1 @t165))) % 0.95/1.15 (define @t178 () (not (= @t1 tptp.nil))) % 0.95/1.15 (define @t179 () (and @t178 @t142)) % 0.95/1.15 (define @t180 () (not @t21)) % 0.95/1.15 (define @t181 () (or @t177 @t180 @t113 @t81 @t179 @t164 @t177 @t163)) % 0.95/1.15 (define @t182 () (or @t180 @t113 @t81 @t179 @t164 @t177 @t163)) % 0.95/1.15 (define @t183 () (forall @t7 @t182)) % 0.95/1.15 (define @t184 () (forall @t171 @t183)) % 0.95/1.15 (define @t185 () (forall (@list @t160 @t1) @t182)) % 0.95/1.15 (define @t186 () (@list @t1 @t160)) % 0.95/1.15 (define @t187 () (or @t164 @t177 @t163)) % 0.95/1.15 (define @t188 () (or @t180 @t113 @t81 @t179 @t187)) % 0.95/1.15 (define @t189 () (forall @t186 @t188)) % 0.95/1.15 (define @t190 () (forall @t171 @t188)) % 0.95/1.15 (define @t191 () (forall @t171 @t187)) % 0.95/1.15 (define @t192 () (@var "BOUND_VARIABLE_11107" $$unsorted)) % 0.95/1.15 (define @t193 () (@list @t192)) % 0.95/1.15 (define @t194 () (or @t180 @t113 @t81 @t179 @t191)) % 0.95/1.15 (define @t195 () (not (= @t129 @t192))) % 0.95/1.15 (define @t196 () (not (forall @t139 (or @t138 @t137 @t136 @t135 @t134 @t130 @t195)))) % 0.95/1.15 (define @t197 () (not (= @t1 (tptp.app @t2 @t192)))) % 0.95/1.15 (define @t198 () (not (tptp.ssList @t192))) % 0.95/1.15 (define @t199 () (or @t198 @t197 @t196)) % 0.95/1.15 (define @t200 () (@list @t192)) % 0.95/1.15 (define @t201 () (forall @t200 @t199)) % 0.95/1.15 (define @t202 () (or @t180 @t113 @t81 @t179 @t201)) % 0.95/1.15 (define @t203 () (forall @t7 @t202)) % 0.95/1.15 (define @t204 () (or @t149 @t148 @t203)) % 0.95/1.15 (define @t205 () (or @t149 @t148 @t202)) % 0.95/1.15 (define @t206 () (or @t180 @t113 @t81 @t149 @t148 @t179 @t201)) % 0.95/1.15 (define @t207 () (or @t113 @t81 @t180 @t149 @t148 @t179 @t201)) % 0.95/1.15 (define @t208 () (or @t149 @t148 @t179 @t201)) % 0.95/1.15 (define @t209 () (or @t149 @t148 @t179 @t199)) % 0.95/1.15 (define @t210 () (or @t149 @t148 @t179 @t198 @t197 @t196)) % 0.95/1.15 (define @t211 () (not (= @t2 @t2))) % 0.95/1.15 (define @t212 () (or @t149 @t211 @t148 @t179 @t198 @t197 @t196)) % 0.95/1.15 (define @t213 () (not (= @t12 @t133))) % 0.95/1.15 (define @t214 () (not (forall @t139 (or @t138 @t137 @t136 @t135 @t213 @t130 @t195)))) % 0.95/1.15 (define @t215 () (not (= @t1 (tptp.app @t12 @t192)))) % 0.95/1.15 (define @t216 () (= @t12 tptp.nil)) % 0.95/1.15 (define @t217 () (and @t178 @t216)) % 0.95/1.15 (define @t218 () (not @t15)) % 0.95/1.15 (define @t219 () (or @t114 @t218 @t114 @t107 @t217 @t198 @t215 @t214)) % 0.95/1.15 (define @t220 () (or @t218 @t114 @t107 @t217 @t198 @t215 @t214)) % 0.95/1.15 (define @t221 () (forall @t16 @t220)) % 0.95/1.15 (define @t222 () (forall @t200 @t221)) % 0.95/1.15 (define @t223 () (forall (@list @t192 @t12) @t220)) % 0.95/1.15 (define @t224 () (@list @t12 @t192)) % 0.95/1.15 (define @t225 () (or @t198 @t215 @t214)) % 0.95/1.15 (define @t226 () (or @t218 @t114 @t107 @t217 @t225)) % 0.95/1.15 (define @t227 () (forall @t224 @t226)) % 0.95/1.15 (define @t228 () (forall @t200 @t226)) % 0.95/1.15 (define @t229 () (forall @t200 @t225)) % 0.95/1.15 (define @t230 () (@var "BOUND_VARIABLE_11062" $$unsorted)) % 0.95/1.15 (define @t231 () (@list @t230)) % 0.95/1.15 (define @t232 () (or @t218 @t114 @t107 @t217 @t229)) % 0.95/1.15 (define @t233 () (not (forall @t139 (or @t138 @t137 @t136 @t135 @t213 @t130 (not (= @t129 @t230)))))) % 0.95/1.15 (define @t234 () (tptp.app @t12 @t230)) % 0.95/1.15 (define @t235 () (not (= @t1 @t234))) % 0.95/1.15 (define @t236 () (not (tptp.ssList @t230))) % 0.95/1.15 (define @t237 () (or @t236 @t235 @t233)) % 0.95/1.15 (define @t238 () (@list @t230)) % 0.95/1.15 (define @t239 () (forall @t238 @t237)) % 0.95/1.15 (define @t240 () (or @t218 @t114 @t107 @t217 @t239)) % 0.95/1.15 (define @t241 () (forall @t16 @t240)) % 0.95/1.15 (define @t242 () (or @t113 @t81 @t180 @t241)) % 0.95/1.15 (define @t243 () (or @t113 @t81 @t180 @t240)) % 0.95/1.15 (define @t244 () (or @t218 @t114 @t113 @t81 @t107 @t180 @t217 @t239)) % 0.95/1.15 (define @t245 () (or @t114 @t113 @t81 @t107 @t180 @t217 @t239)) % 0.95/1.15 (define @t246 () (or @t180 @t217 @t239)) % 0.95/1.15 (define @t247 () (or @t180 @t217 @t237)) % 0.95/1.15 (define @t248 () (or @t180 @t217 @t236 @t235 @t233)) % 0.95/1.15 (define @t249 () (not (= @t1 @t1))) % 0.95/1.15 (define @t250 () (or @t180 @t249 @t217 @t236 @t235 @t233)) % 0.95/1.15 (define @t251 () (not (= @t10 @t234))) % 0.95/1.15 (define @t252 () (and (not (= @t10 tptp.nil)) @t216)) % 0.95/1.15 (define @t253 () (not @t13)) % 0.95/1.15 (define @t254 () (or @t115 @t253 @t115 @t252 @t236 @t251 @t233)) % 0.95/1.15 (define @t255 () (or @t253 @t115 @t252 @t236 @t251 @t233)) % 0.95/1.15 (define @t256 () (forall @t14 @t255)) % 0.95/1.15 (define @t257 () (forall @t238 @t256)) % 0.95/1.15 (define @t258 () (forall (@list @t230 @t10) @t255)) % 0.95/1.15 (define @t259 () (@list @t10 @t230)) % 0.95/1.15 (define @t260 () (not (= @t230 @t129))) % 0.95/1.15 (define @t261 () (or @t138 @t137 @t136 @t135 @t213 @t130 @t260)) % 0.95/1.15 (define @t262 () (forall @t139 @t261)) % 0.95/1.15 (define @t263 () (not @t262)) % 0.95/1.15 (define @t264 () (or @t253 @t115 @t252 @t236 @t251 @t263)) % 0.95/1.15 (define @t265 () (or @t236 @t251 @t263)) % 0.95/1.15 (define @t266 () (or @t253 @t115 @t252 @t265)) % 0.95/1.15 (define @t267 () (forall @t259 @t266)) % 0.95/1.15 (define @t268 () (forall @t238 @t266)) % 0.95/1.15 (define @t269 () (forall @t238 @t265)) % 0.95/1.15 (define @t270 () (or @t253 @t115 @t252 @t269)) % 0.95/1.15 (define @t271 () (not (= @t38 @t129))) % 0.95/1.15 (define @t272 () (or @t138 @t137 @t136 @t135 @t213 @t130 @t271)) % 0.95/1.15 (define @t273 () (not (forall @t139 @t272))) % 0.95/1.15 (define @t274 () (not (= @t10 @t108))) % 0.95/1.15 (define @t275 () (not @t42)) % 0.95/1.15 (define @t276 () (or @t275 @t274 @t273)) % 0.95/1.15 (define @t277 () (forall @t43 @t276)) % 0.95/1.15 (define @t278 () (or @t253 @t115 @t252 @t277)) % 0.95/1.15 (define @t279 () (forall @t14 @t278)) % 0.95/1.15 (define @t280 () (or @t114 @t113 @t81 @t107 @t279)) % 0.95/1.15 (define @t281 () (or @t114 @t113 @t81 @t107 @t278)) % 0.95/1.15 (define @t282 () (or @t253 @t115 @t114 @t113 @t252 @t81 @t107 @t277)) % 0.95/1.15 (define @t283 () (or @t115 @t114 @t113 @t252 @t81 @t107 @t277)) % 0.95/1.15 (define @t284 () (or @t107 @t277)) % 0.95/1.15 (define @t285 () (or @t107 @t276)) % 0.95/1.15 (define @t286 () (or @t275 @t274 @t107 @t273)) % 0.95/1.15 (define @t287 () (or @t274 @t107 @t273)) % 0.95/1.15 (define @t288 () (or @t130 @t271)) % 0.95/1.15 (define @t289 () (or @t137 @t136 @t135 @t213)) % 0.95/1.15 (define @t290 () (or @t138 @t289 @t288)) % 0.95/1.15 (define @t291 () (forall @t139 @t290)) % 0.95/1.15 (define @t292 () (forall (@list @t131 @t132 @t128) @t290)) % 0.95/1.15 (define @t293 () (forall (@list @t128) @t288)) % 0.95/1.15 (define @t294 () (forall (@list @t131 @t132) @t289)) % 0.95/1.15 (define @t295 () (@var "BOUND_VARIABLE_10977" $$unsorted)) % 0.95/1.15 (define @t296 () (or @t138 @t294 @t293)) % 0.95/1.15 (define @t297 () (= @t38 @t99)) % 0.95/1.15 (define @t298 () (not @t297)) % 0.95/1.15 (define @t299 () (not @t100)) % 0.95/1.15 (define @t300 () (or @t299 @t298)) % 0.95/1.15 (define @t301 () (forall @t102 @t300)) % 0.95/1.15 (define @t302 () (not (= @t12 (tptp.app @t295 @t86)))) % 0.95/1.15 (define @t303 () (not (tptp.ssList @t295))) % 0.95/1.15 (define @t304 () (not @t85)) % 0.95/1.15 (define @t305 () (not @t93)) % 0.95/1.15 (define @t306 () (or @t305 @t304 @t303 @t302)) % 0.95/1.15 (define @t307 () (@list @t84 @t295)) % 0.95/1.15 (define @t308 () (forall @t307 @t306)) % 0.95/1.15 (define @t309 () (or @t138 @t308 @t301)) % 0.95/1.15 (define @t310 () (or @t308 @t301)) % 0.95/1.15 (define @t311 () (not @t310)) % 0.95/1.15 (define @t312 () (and @t104 @t311)) % 0.95/1.15 (define @t313 () (forall @t41 (not @t312))) % 0.95/1.15 (define @t314 () (not @t313)) % 0.95/1.15 (define @t315 () (or @t308 @t300)) % 0.95/1.15 (define @t316 () (or @t299 @t298 @t308)) % 0.95/1.15 (define @t317 () (not @t308)) % 0.95/1.15 (define @t318 () (not @t317)) % 0.95/1.15 (define @t319 () (or @t299 @t298 @t318)) % 0.95/1.15 (define @t320 () (and @t100 @t297 @t317)) % 0.95/1.15 (define @t321 () (forall @t102 (not @t320))) % 0.95/1.15 (define @t322 () (not @t321)) % 0.95/1.15 (define @t323 () (or @t303 @t302)) % 0.95/1.15 (define @t324 () (or @t305 @t304 @t323)) % 0.95/1.15 (define @t325 () (forall @t307 @t324)) % 0.95/1.15 (define @t326 () (@list @t295)) % 0.95/1.15 (define @t327 () (forall @t326 @t324)) % 0.95/1.15 (define @t328 () (forall @t326 @t323)) % 0.95/1.15 (define @t329 () (or @t305 @t304 @t328)) % 0.95/1.15 (define @t330 () (= @t12 @t88)) % 0.95/1.15 (define @t331 () (not @t330)) % 0.95/1.15 (define @t332 () (not @t89)) % 0.95/1.15 (define @t333 () (or @t332 @t331)) % 0.95/1.15 (define @t334 () (forall @t91 @t333)) % 0.95/1.15 (define @t335 () (or @t305 @t304 @t334)) % 0.95/1.15 (define @t336 () (or @t304 @t334)) % 0.95/1.15 (define @t337 () (not @t336)) % 0.95/1.15 (define @t338 () (and @t93 @t337)) % 0.95/1.15 (define @t339 () (forall @t95 (not @t338))) % 0.95/1.15 (define @t340 () (not @t339)) % 0.95/1.15 (define @t341 () (or @t304 @t333)) % 0.95/1.15 (define @t342 () (or @t332 @t331 @t304)) % 0.95/1.15 (define @t343 () (and @t89 @t330 @t85)) % 0.95/1.15 (define @t344 () (forall @t91 (not @t343))) % 0.95/1.15 (define @t345 () (not @t344)) % 0.95/1.15 (define @t346 () (@quantifiers_skolemize @t152 1)) % 0.95/1.15 (define @t347 () (not (= @t129 @t346))) % 0.95/1.15 (define @t348 () (tptp.ssList @t346)) % 0.95/1.15 (define @t349 () (not @t348)) % 0.95/1.15 (define @t350 () (= tptp.nil @t153)) % 0.95/1.15 (define @t351 () (tptp.app @t153 @t346)) % 0.95/1.15 (define @t352 () (= tptp.nil @t351)) % 0.95/1.15 (define @t353 () (not @t352)) % 0.95/1.15 (define @t354 () (and @t353 @t350)) % 0.95/1.15 (define @t355 () (tptp.segmentP @t351 @t153)) % 0.95/1.15 (define @t356 () (tptp.neq @t153 tptp.nil)) % 0.95/1.15 (define @t357 () (and @t356 @t355)) % 0.95/1.15 (define @t358 () (tptp.neq @t351 tptp.nil)) % 0.95/1.15 (define @t359 () (not @t358)) % 0.95/1.15 (define @t360 () (tptp.ssList @t351)) % 0.95/1.15 (define @t361 () (not @t360)) % 0.95/1.15 (define @t362 () (not (tptp.totalorderedP @t153))) % 0.95/1.15 (define @t363 () (tptp.ssList @t153)) % 0.95/1.15 (define @t364 () (not @t363)) % 0.95/1.15 (define @t365 () (or @t364 @t362 @t361 @t359 @t357 @t354 @t349 (not (forall @t139 (or @t138 @t137 @t136 @t135 (not (= @t133 @t153)) @t130 @t347))))) % 0.95/1.15 (define @t366 () (not @t365)) % 0.95/1.15 (define @t367 () (not @t152)) % 0.95/1.15 (define @t368 () (not (= @t153 @t133))) % 0.95/1.15 (define @t369 () (or @t138 @t137 @t136 @t135 @t368 @t130 @t347)) % 0.95/1.15 (define @t370 () (forall @t139 @t369)) % 0.95/1.15 (define @t371 () (not @t370)) % 0.95/1.15 (define @t372 () (= @t153 tptp.nil)) % 0.95/1.15 (define @t373 () (and @t353 @t372)) % 0.95/1.15 (define @t374 () (or @t364 @t362 @t361 @t359 @t357 @t373 @t349 @t371)) % 0.95/1.15 (define @t375 () (not @t374)) % 0.95/1.15 (define @t376 () (@list true)) % 0.95/1.15 (define @t377 () (@list @t365)) % 0.95/1.15 (define @t378 () (tptp.app tptp.nil @t153)) % 0.95/1.15 (define @t379 () (= @t153 @t378)) % 0.95/1.15 (define @t380 () (or @t364 @t379)) % 0.95/1.15 (define @t381 () (@list false false)) % 0.95/1.15 (define @t382 () (@list @t363 @t380)) % 0.95/1.15 (define @t383 () (@var "BOUND_VARIABLE_8410" $$unsorted)) % 0.95/1.15 (define @t384 () (@var "BOUND_VARIABLE_8433" $$unsorted)) % 0.95/1.15 (define @t385 () (not (tptp.ssList @t383))) % 0.95/1.15 (define @t386 () (@list @t12 @t383)) % 0.95/1.15 (define @t387 () (= (tptp.segmentP @t2 @t384) (not (forall @t386 (or @t218 @t385 (not (= @t2 (tptp.app (tptp.app @t12 @t384) @t383)))))))) % 0.95/1.15 (define @t388 () (not (tptp.ssList @t384))) % 0.95/1.15 (define @t389 () (or @t388 @t387)) % 0.95/1.15 (define @t390 () (or @t149 @t389)) % 0.95/1.15 (define @t391 () (forall (@list @t2 @t384) @t390)) % 0.95/1.15 (define @t392 () (@list @t384)) % 0.95/1.15 (define @t393 () (forall @t392 @t390)) % 0.95/1.15 (define @t394 () (forall @t392 @t389)) % 0.95/1.15 (define @t395 () (@list @t1)) % 0.95/1.15 (define @t396 () (or @t149 @t394)) % 0.95/1.15 (define @t397 () (not (= @t2 (tptp.app @t22 @t383)))) % 0.95/1.15 (define @t398 () (or @t218 @t385 @t397)) % 0.95/1.15 (define @t399 () (= @t29 (not (forall @t386 @t398)))) % 0.95/1.15 (define @t400 () (forall @t7 (or @t180 @t399))) % 0.95/1.15 (define @t401 () (or @t385 @t397)) % 0.95/1.15 (define @t402 () (or @t218 @t401)) % 0.95/1.15 (define @t403 () (forall @t386 @t402)) % 0.95/1.15 (define @t404 () (@list @t383)) % 0.95/1.15 (define @t405 () (forall @t404 @t402)) % 0.95/1.15 (define @t406 () (forall @t404 @t401)) % 0.95/1.15 (define @t407 () (or @t218 @t406)) % 0.95/1.15 (define @t408 () (= @t2 @t24)) % 0.95/1.15 (define @t409 () (forall @t14 (or @t253 (not @t408)))) % 0.95/1.15 (define @t410 () (not @t409)) % 0.95/1.15 (define @t411 () (and @t15 @t410)) % 0.95/1.15 (define @t412 () (forall @t16 (not @t411))) % 0.95/1.15 (define @t413 () (not @t412)) % 0.95/1.15 (define @t414 () (and @t13 @t408)) % 0.95/1.15 (define @t415 () (forall @t14 (not @t414))) % 0.95/1.15 (define @t416 () (not @t415)) % 0.95/1.15 (define @t417 () (forall @t386 (or @t218 @t385 (not (= @t351 (tptp.app (tptp.app @t12 @t153) @t383)))))) % 0.95/1.15 (define @t418 () (not @t417)) % 0.95/1.15 (define @t419 () (= @t355 @t418)) % 0.95/1.15 (define @t420 () (or @t361 @t364 @t419)) % 0.95/1.15 (define @t421 () (@list false false false)) % 0.95/1.15 (define @t422 () (@var "BOUND_VARIABLE_9128" $$unsorted)) % 0.95/1.15 (define @t423 () (= (tptp.neq @t2 @t422) (not (= @t2 @t422)))) % 0.95/1.15 (define @t424 () (not (tptp.ssList @t422))) % 0.95/1.15 (define @t425 () (or @t149 @t424 @t423)) % 0.95/1.15 (define @t426 () (or @t424 @t423)) % 0.95/1.15 (define @t427 () (or @t149 @t426)) % 0.95/1.15 (define @t428 () (@list @t2 @t422)) % 0.95/1.15 (define @t429 () (forall @t428 @t427)) % 0.95/1.15 (define @t430 () (@list @t422)) % 0.95/1.15 (define @t431 () (forall @t430 @t427)) % 0.95/1.15 (define @t432 () (forall @t430 @t426)) % 0.95/1.15 (define @t433 () (or @t149 @t432)) % 0.95/1.15 (define @t434 () (forall @t7 (or @t180 @t5))) % 0.95/1.15 (define @t435 () (not @t372)) % 0.95/1.15 (define @t436 () (= @t356 @t435)) % 0.95/1.15 (define @t437 () (not @t52)) % 0.95/1.15 (define @t438 () (or @t364 @t437 @t436)) % 0.95/1.15 (define @t439 () (forall @t428 @t425)) % 0.95/1.15 (define @t440 () (not @t350)) % 0.95/1.15 (define @t441 () (= @t356 @t440)) % 0.95/1.15 (define @t442 () (or @t364 @t437 @t441)) % 0.95/1.15 (define @t443 () (@list false)) % 0.95/1.15 (define @t444 () (not @t441)) % 0.95/1.15 (define @t445 () (not @t356)) % 0.95/1.15 (define @t446 () (@list true false)) % 0.95/1.15 (define @t447 () (not @t419)) % 0.95/1.15 (define @t448 () (= @t351 (tptp.app @t378 @t346))) % 0.95/1.15 (define @t449 () (not @t448)) % 0.95/1.15 (define @t450 () (or @t437 @t349 @t449)) % 0.95/1.15 (define @t451 () (not @t379)) % 0.95/1.15 (define @t452 () (and @t448 @t449)) % 0.95/1.15 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.95/1.15 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.95/1.15 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.95/1.15 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.95/1.15 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.95/1.15 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.95/1.15 (assume @p7 @t34) % 0.95/1.15 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not (and @t36 @t35))))))))))))))))) % 0.95/1.15 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t36 @t35)))))))))))))))) % 0.95/1.15 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t45 (tptp.lt @t12 @t1))))))))))))))))) % 0.95/1.15 (assume @p11 (forall @t9 (=> @t17 (= @t46 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t36))))))))))))))) % 0.95/1.15 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t45))))))))))))))) % 0.95/1.15 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not @t47)))))))))))))))) % 0.95/1.15 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t38))) @t2) @t47))))))))))))) % 0.95/1.15 (assume @p15 @t50) % 0.95/1.15 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t51)))))) % 0.95/1.15 (assume @p17 @t52) % 0.95/1.15 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t51 @t2))))))) % 0.95/1.15 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t53))))))))))) % 0.95/1.15 (assume @p20 (forall @t9 (=> @t17 (or @t55 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t54 @t2))))))))) % 0.95/1.15 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 0.95/1.15 (assume @p22 (forall @t9 (=> @t17 (=> @t57 (tptp.ssItem @t56))))) % 0.95/1.15 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t51) @t1)))))) % 0.95/1.15 (assume @p24 (forall @t9 (=> @t17 (=> @t57 (tptp.ssList @t58))))) % 0.95/1.15 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t51) @t2)))))) % 0.95/1.15 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t59)))))) % 0.95/1.15 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t60) (tptp.app @t54 @t2))))))))) % 0.95/1.15 (assume @p28 @t63) % 0.95/1.15 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t65 @t64) @t3)))))) % 0.95/1.15 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t36) (tptp.leq @t2 @t12))))))))) % 0.95/1.15 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.95/1.15 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t64)))))) % 0.95/1.15 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t68 (not @t67))))))) % 0.95/1.15 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t68 @t45) @t69)))))))) % 0.95/1.15 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 @t67)))))) % 0.95/1.15 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t71))))))))) % 0.95/1.15 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t71))))))))) % 0.95/1.15 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.95/1.15 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.95/1.15 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.95/1.15 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.95/1.15 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.95/1.15 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.95/1.15 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 0.95/1.15 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.95/1.15 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t55)))) % 0.95/1.15 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.95/1.15 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.95/1.15 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.95/1.15 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t72 @t1))))))))) % 0.95/1.15 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.95/1.15 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t55)))) % 0.95/1.15 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.95/1.15 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t73) @t3)))))) % 0.95/1.15 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.95/1.15 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t72 @t10) @t1))))))))))) % 0.95/1.15 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.95/1.15 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t55)))) % 0.95/1.15 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t74)))) % 0.95/1.15 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.95/1.15 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t74)))) % 0.95/1.15 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.95/1.15 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t74)))) % 0.95/1.15 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.95/1.15 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t74)))) % 0.95/1.15 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.95/1.15 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t78) (or @t76 (and @t77 (tptp.totalorderedP @t1) (tptp.leq @t2 @t75))))))))) % 0.95/1.15 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t74)))) % 0.95/1.15 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.95/1.15 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t78) (or @t76 (and @t77 (tptp.strictorderedP @t1) (tptp.lt @t2 @t75))))))))) % 0.95/1.15 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t74)))) % 0.95/1.15 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.95/1.15 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t74)))) % 0.95/1.15 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.95/1.15 (assume @p75 (forall @t9 (=> @t17 (=> @t57 (exists @t7 (and @t6 (= @t56 @t1))))))) % 0.95/1.15 (assume @p76 (forall @t9 (=> @t17 (=> @t57 (exists @t7 (and @t21 (= @t58 @t1))))))) % 0.95/1.15 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t77 @t57 (= @t75 @t56) (= (tptp.tl @t1) @t58)) @t53)))))) % 0.95/1.15 (assume @p78 (forall @t9 (=> @t17 (=> @t57 (= (tptp.cons @t56 @t58) @t2))))) % 0.95/1.15 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t59) @t79)))))))) % 0.95/1.15 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t60) @t79)))))))) % 0.95/1.15 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t51 (tptp.app @t18 @t2))))))) % 0.95/1.15 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t59 @t12) (tptp.app @t2 @t19))))))))) % 0.95/1.15 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t59) (and @t76 @t55))))))) % 0.95/1.15 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.95/1.15 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t57 (= (tptp.hd @t59) @t56))))))) % 0.95/1.15 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t57 (= (tptp.tl @t59) (tptp.app @t58 @t1)))))))) % 0.95/1.15 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t66 (tptp.geq @t1 @t2)) @t3)))))) % 0.95/1.15 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t66 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.95/1.15 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.95/1.15 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.95/1.15 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t45) @t69)))))))) % 0.95/1.15 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (or @t3 @t68))))))) % 0.95/1.15 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 (and @t4 @t65))))))) % 0.95/1.15 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not (tptp.gt @t1 @t2)))))))) % 0.95/1.15 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t70 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.95/1.15 (assume @p96 @t125) % 0.95/1.15 (assume @p97 true) % 0.95/1.15 (step @p98 :rule bool-impl-elim :args (@t17 @t126)) % 0.95/1.15 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t126)))) % 0.95/1.15 (step @p100 :rule eq-symm :args (@t61 @t2)) % 0.95/1.15 (step @p101 :rule refl :args (@t17)) % 0.95/1.15 (step @p102 :rule cong :premises (@p101 @p100) :args (@t62)) % 0.95/1.15 (step @p103 :rule cong :premises (@p102) :args (@t63)) % 0.95/1.15 (step @p104 :rule trans :premises (@p103 @p99)) % 0.95/1.15 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 0.95/1.15 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t153))) % 0.95/1.15 (step @p107 :rule aci_norm :args ((= @t155 @t150))) % 0.95/1.15 (step @p108 :rule cong :premises (@p107) :args (@t156)) % 0.95/1.15 (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t158) @t156))) % 0.95/1.15 (step @p110 :rule alpha_equiv :args (@t159 (@list @t127) @t161)) % 0.95/1.15 (step @p111 :rule refl :args (@t148)) % 0.95/1.15 (step @p112 :rule refl :args (@t149)) % 0.95/1.15 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t162)) % 0.95/1.15 (step @p114 :rule quant-miniscope-or :args ((= @t158 @t162))) % 0.95/1.15 (step @p115 :rule trans :premises (@p114 @p113)) % 0.95/1.15 (step @p116 :rule symm :premises (@p115)) % 0.95/1.15 (step @p117 :rule cong :premises (@p116) :args ((forall @t9 @t172))) % 0.95/1.15 (step @p118 :rule trans :premises (@p117 @p109)) % 0.95/1.15 (step @p119 :rule trans :premises (@p118 @p108)) % 0.95/1.15 (step @p120 :rule aci_norm :args ((= (or @t149 @t172) @t172))) % 0.95/1.15 (step @p121 :rule bool-impl-elim :args (@t17 @t172)) % 0.95/1.15 (step @p122 :rule trans :premises (@p121 @p120)) % 0.95/1.15 (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (=> @t17 @t172)))) % 0.95/1.15 (step @p124 :rule trans :premises (@p123 @p119)) % 0.95/1.15 (step @p125 :rule aci_norm :args ((= (or @t169 @t168 @t167 @t166 @t164 false @t163) @t170))) % 0.95/1.15 (step @p126 :rule refl :args (@t163)) % 0.95/1.15 (step @p127 :rule evaluate :args ((not true))) % 0.95/1.15 (step @p128 :rule eq-refl :args (@t165)) % 0.95/1.15 (step @p129 :rule cong :premises (@p128) :args (@t173)) % 0.95/1.15 (step @p130 :rule trans :premises (@p129 @p127)) % 0.95/1.15 (step @p131 :rule refl :args (@t164)) % 0.95/1.15 (step @p132 :rule refl :args (@t142)) % 0.95/1.15 (step @p133 :rule eq-symm :args (@t165 tptp.nil)) % 0.95/1.15 (step @p134 :rule cong :premises (@p133) :args (@t174)) % 0.95/1.15 (step @p135 :rule nary_cong :premises (@p134 @p132) :args (@t175)) % 0.95/1.15 (step @p136 :rule refl :args (@t167)) % 0.95/1.15 (step @p137 :rule refl :args (@t168)) % 0.95/1.15 (step @p138 :rule refl :args (@t169)) % 0.95/1.15 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136 @p135 @p131 @p130 @p126) :args (@t176)) % 0.95/1.15 (step @p140 :rule trans :premises (@p139 @p125)) % 0.95/1.15 (step @p141 :rule cong :premises (@p140) :args ((forall @t171 @t176))) % 0.95/1.15 (step @p142 :rule quant-var-elim-eq :args ((= (forall @t7 @t181) @t176))) % 0.95/1.15 (step @p143 :rule aci_norm :args ((= @t182 @t181))) % 0.95/1.15 (step @p144 :rule cong :premises (@p143) :args (@t183)) % 0.95/1.15 (step @p145 :rule trans :premises (@p144 @p142)) % 0.95/1.15 (step @p146 :rule cong :premises (@p145) :args (@t184)) % 0.95/1.15 (step @p147 :rule quant-merge-prenex :args ((= @t184 @t185))) % 0.95/1.15 (step @p148 :rule symm :premises (@p147)) % 0.95/1.15 (step @p149 :rule quant_var_reordering :args ((= (forall @t186 @t182) @t185))) % 0.95/1.15 (step @p150 :rule trans :premises (@p149 @p148 @p146)) % 0.95/1.15 (step @p151 :rule trans :premises (@p150 @p141)) % 0.95/1.15 (step @p152 :rule aci_norm :args ((= @t188 @t182))) % 0.95/1.15 (step @p153 :rule cong :premises (@p152) :args (@t189)) % 0.95/1.15 (step @p154 :rule trans :premises (@p153 @p151)) % 0.95/1.15 (step @p155 :rule quant-merge-prenex :args ((= (forall @t7 @t190) @t189))) % 0.95/1.15 (step @p156 :rule alpha_equiv :args (@t191 @t161 @t193)) % 0.95/1.15 (step @p157 :rule refl :args (@t179)) % 0.95/1.15 (step @p158 :rule refl :args (@t81)) % 0.95/1.15 (step @p159 :rule refl :args (@t113)) % 0.95/1.15 (step @p160 :rule refl :args (@t180)) % 0.95/1.15 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158 @p157 @p156) :args (@t194)) % 0.95/1.15 (step @p162 :rule quant-miniscope-or :args ((= @t190 @t194))) % 0.95/1.15 (step @p163 :rule trans :premises (@p162 @p161)) % 0.95/1.15 (step @p164 :rule symm :premises (@p163)) % 0.95/1.15 (step @p165 :rule cong :premises (@p164) :args (@t203)) % 0.95/1.15 (step @p166 :rule trans :premises (@p165 @p155)) % 0.95/1.15 (step @p167 :rule trans :premises (@p166 @p154)) % 0.95/1.15 (step @p168 :rule refl :args (@t148)) % 0.95/1.15 (step @p169 :rule refl :args (@t149)) % 0.95/1.15 (step @p170 :rule nary_cong :premises 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0.95/1.16 (step @p660 :rule chain_m_resolution :premises (@p659 @p498) :args ((not @t357) @t376 @t377)) % 0.95/1.16 (step @p661 :rule cnf_and_neg :args (@t357)) % 0.95/1.16 (step @p662 :rule chain_m_resolution :premises (@p661 @p660 @p658) :args ((not @t355) @t446 (@list @t357 @t356))) % 0.95/1.16 (step @p663 :rule bool-double-not-elim :args (@t417)) % 0.95/1.16 (step @p664 :rule refl :args (@t355)) % 0.95/1.16 (step @p665 :rule refl :args (@t447)) % 0.95/1.16 (step @p666 :rule nary_cong :premises (@p665 @p664 @p663) :args ((or @t447 @t355 (not @t418)))) % 0.95/1.16 (step @p667 :rule cnf_equiv_pos2 :args (@t419)) % 0.95/1.16 (step @p668 :rule eq_resolve :premises (@p667 @p666)) % 0.95/1.16 (step @p669 :rule reordering :premises (@p668) :args ((or @t355 @t417 @t447))) % 0.95/1.16 (step @p670 :rule chain_m_resolution :premises (@p669 @p662 @p575) :args (@t417 @t446 (@list @t355 @t419))) % 0.95/1.16 (assume-push @p727 @t417) % 0.95/1.16 (step @p672 :rule instantiate :premises (@p727) :args ((@list tptp.nil @t346))) % 0.95/1.16 (step-pop @p728 :rule scope :premises (@p672)) % 0.95/1.16 (step @p673 :rule process_scope :premises (@p728) :args (@t450)) % 0.95/1.16 (step @p675 :rule implies_elim :premises (@p673)) % 0.95/1.16 (step @p676 :rule chain_m_resolution :premises (@p675 @p670) :args (@t450 @t443 (@list @t417))) % 0.95/1.16 (step @p677 :rule bool-double-not-elim :args (@t348)) % 0.95/1.16 (step @p678 :rule nary_cong :premises (@p500 @p677) :args ((or @t365 (not @t349)))) % 0.95/1.16 (step @p679 :rule cnf_or_neg :args (@t365 6)) % 0.95/1.16 (step @p680 :rule eq_resolve :premises (@p679 @p678)) % 0.95/1.16 (step @p681 :rule reordering :premises (@p680) :args ((or @t348 @t365))) % 0.95/1.16 (step @p682 :rule chain_m_resolution :premises (@p681 @p498) :args (@t348 @t376 @t377)) % 0.95/1.16 (step @p683 :rule cnf_or_pos :args (@t450)) % 0.95/1.16 (step @p684 :rule reordering :premises (@p683) :args ((or @t437 @t349 @t449 (not @t450)))) % 0.95/1.16 (step @p685 :rule chain_m_resolution :premises (@p684 @p17 @p682 @p676) :args (@t449 @t421 (@list @t52 @t348 @t450))) % 0.95/1.16 (step @p686 :rule bool-double-not-elim :args (@t448)) % 0.95/1.16 (step @p687 :rule refl :args (@t451)) % 0.95/1.16 (step @p688 :rule nary_cong :premises (@p687 @p686) :args ((or @t451 (not @t449)))) % 0.95/1.16 (assume-push @p729 @t448) % 0.95/1.16 (assume-push @p730 @t449) % 0.95/1.16 (step @p691 :rule evaluate :args ((= true false))) % 0.95/1.16 (step @p692 :rule false_intro :premises (@p730)) % 0.95/1.16 (step @p693 :rule refl :args (@t346)) % 0.95/1.16 (step @p694 :rule chain_m_resolution :premises (@p507 @p505 @p106) :args (@t379 @t381 @t382)) % 0.95/1.16 (step @p695 :rule cong :premises (@p694 @p693) :args (@t351)) % 0.95/1.16 (step @p696 :rule true_intro :premises (@p695)) % 0.95/1.16 (step @p697 :rule symm :premises (@p696)) % 0.95/1.16 (step @p698 :rule trans :premises (@p697 @p692)) % 0.95/1.16 (step @p699 false :rule eq_resolve :premises (@p698 @p691)) % 0.95/1.16 (step-pop @p731 :rule scope :premises (@p699)) % 0.95/1.16 (step-pop @p732 :rule scope :premises (@p731)) % 0.95/1.16 (step @p700 :rule process_scope :premises (@p732) :args (false)) % 0.95/1.16 (assume-push @p733 @t379) % 0.95/1.16 (assume-push @p734 @t449) % 0.95/1.16 (step @p693 :rule refl :args (@t346)) % 0.95/1.16 (step @p705 :rule cong :premises (@p508 @p693) :args (@t351)) % 0.95/1.16 (step @p706 :rule and_intro :premises (@p705 @p734)) % 0.95/1.16 (step-pop @p735 :rule scope :premises (@p706)) % 0.95/1.16 (step-pop @p736 :rule scope :premises (@p735)) % 0.95/1.16 (step @p707 :rule process_scope :premises (@p736) :args (@t452)) % 0.95/1.16 (step @p710 :rule implies_elim :premises (@p707)) % 0.95/1.16 (step @p711 :rule resolution :premises (@p710 @p700) :args (true @t452)) % 0.95/1.16 (step @p712 :rule not_and :premises (@p711)) % 0.95/1.16 (step @p713 :rule eq_resolve :premises (@p712 @p688)) % 0.95/1.16 (step @p714 false :rule chain_m_resolution :premises (@p713 @p685 @p508) :args (false @t446 (@list @t448 @t379))) % 0.95/1.16 ) % 0.95/1.16 % SZS output end Proof % 0.95/1.16 % cvc5 exiting %------------------------------------------------------------------------------