%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC189+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 : 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 08:58:24 AM UTC 2026 % Result : Theorem 0.53s 0.73s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC189+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 19:22:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.73 % SZS status Theorem % 0.53/0.73 % SZS output start Proof % 0.53/0.73 ( % 0.53/0.73 (declare-sort $$unsorted 0) % 0.53/0.73 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.nil $$unsorted) % 0.53/0.73 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.53/0.73 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.53/0.73 (define @t1 () (@var "V" $$unsorted)) % 0.53/0.73 (define @t2 () (@var "U" $$unsorted)) % 0.53/0.73 (define @t3 () (= @t2 @t1)) % 0.53/0.73 (define @t4 () (not @t3)) % 0.53/0.73 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.53/0.73 (define @t6 () (tptp.ssItem @t1)) % 0.53/0.73 (define @t7 () (@list @t1)) % 0.53/0.73 (define @t8 () (tptp.ssItem @t2)) % 0.53/0.73 (define @t9 () (@list @t2)) % 0.53/0.73 (define @t10 () (@var "X" $$unsorted)) % 0.53/0.73 (define @t11 () (tptp.cons @t1 @t10)) % 0.53/0.73 (define @t12 () (@var "W" $$unsorted)) % 0.53/0.73 (define @t13 () (tptp.ssList @t10)) % 0.53/0.73 (define @t14 () (@list @t10)) % 0.53/0.73 (define @t15 () (tptp.ssList @t12)) % 0.53/0.73 (define @t16 () (@list @t12)) % 0.53/0.73 (define @t17 () (tptp.ssList @t2)) % 0.53/0.73 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.53/0.73 (define @t19 () (tptp.app @t1 @t12)) % 0.53/0.73 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.53/0.73 (define @t21 () (tptp.ssList @t1)) % 0.53/0.73 (define @t22 () (tptp.app @t12 @t1)) % 0.53/0.73 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.53/0.73 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.53/0.73 (define @t25 () (tptp.leq @t12 @t1)) % 0.53/0.73 (define @t26 () (tptp.leq @t1 @t12)) % 0.53/0.73 (define @t27 () (@var "Z" $$unsorted)) % 0.53/0.73 (define @t28 () (@var "Y" $$unsorted)) % 0.53/0.73 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.53/0.73 (define @t30 () (tptp.ssList @t27)) % 0.53/0.73 (define @t31 () (@list @t27)) % 0.53/0.73 (define @t32 () (tptp.ssList @t28)) % 0.53/0.73 (define @t33 () (@list @t28)) % 0.53/0.73 (define @t34 () (tptp.ssItem @t12)) % 0.53/0.73 (define @t35 () (tptp.lt @t1 @t12)) % 0.53/0.73 (define @t36 () (= @t1 @t12)) % 0.53/0.73 (define @t37 () (tptp.cons @t1 @t2)) % 0.53/0.73 (define @t38 () (= @t1 @t2)) % 0.53/0.73 (define @t39 () (tptp.cons @t12 @t1)) % 0.53/0.73 (define @t40 () (= tptp.nil @t2)) % 0.53/0.73 (define @t41 () (tptp.hd @t2)) % 0.53/0.73 (define @t42 () (not @t40)) % 0.53/0.73 (define @t43 () (tptp.tl @t2)) % 0.53/0.73 (define @t44 () (tptp.app @t2 @t1)) % 0.53/0.73 (define @t45 () (tptp.app @t1 @t2)) % 0.53/0.73 (define @t46 () (tptp.leq @t1 @t2)) % 0.53/0.73 (define @t47 () (tptp.leq @t2 @t1)) % 0.53/0.73 (define @t48 () (tptp.geq @t2 @t1)) % 0.53/0.73 (define @t49 () (tptp.lt @t1 @t2)) % 0.53/0.73 (define @t50 () (tptp.lt @t2 @t1)) % 0.53/0.73 (define @t51 () (tptp.lt @t2 @t12)) % 0.53/0.73 (define @t52 () (tptp.gt @t2 @t1)) % 0.53/0.73 (define @t53 () (tptp.memberP @t12 @t2)) % 0.53/0.73 (define @t54 () (tptp.app @t12 @t2)) % 0.53/0.73 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.53/0.73 (define @t56 () (tptp.hd @t1)) % 0.53/0.73 (define @t57 () (= tptp.nil @t1)) % 0.53/0.73 (define @t58 () (not @t57)) % 0.53/0.73 (define @t59 () (tptp.cons @t2 @t1)) % 0.53/0.73 (define @t60 () (= @t12 @t2)) % 0.53/0.73 (define @t61 () (@var "X4" $$unsorted)) % 0.53/0.73 (define @t62 () (@var "X3" $$unsorted)) % 0.53/0.73 (define @t63 () (= @t62 @t61)) % 0.53/0.73 (define @t64 () (@var "X6" $$unsorted)) % 0.53/0.73 (define @t65 () (tptp.cons @t61 tptp.nil)) % 0.53/0.73 (define @t66 () (tptp.cons @t62 tptp.nil)) % 0.53/0.73 (define @t67 () (@var "X5" $$unsorted)) % 0.53/0.73 (define @t68 () (tptp.app (tptp.app @t67 @t66) @t65)) % 0.53/0.73 (define @t69 () (tptp.app @t68 @t64)) % 0.53/0.73 (define @t70 () (not (= @t69 @t2))) % 0.53/0.73 (define @t71 () (or @t70 @t63)) % 0.53/0.73 (define @t72 () (tptp.ssList @t64)) % 0.53/0.73 (define @t73 () (=> @t72 @t71)) % 0.53/0.73 (define @t74 () (@list @t64)) % 0.53/0.73 (define @t75 () (forall @t74 @t73)) % 0.53/0.73 (define @t76 () (tptp.ssList @t67)) % 0.53/0.73 (define @t77 () (=> @t76 @t75)) % 0.53/0.73 (define @t78 () (@list @t67)) % 0.53/0.73 (define @t79 () (forall @t78 @t77)) % 0.53/0.73 (define @t80 () (tptp.ssItem @t61)) % 0.53/0.73 (define @t81 () (=> @t80 @t79)) % 0.53/0.73 (define @t82 () (@list @t61)) % 0.53/0.73 (define @t83 () (forall @t82 @t81)) % 0.53/0.73 (define @t84 () (tptp.ssItem @t62)) % 0.53/0.73 (define @t85 () (=> @t84 @t83)) % 0.53/0.73 (define @t86 () (@list @t62)) % 0.53/0.73 (define @t87 () (forall @t86 @t85)) % 0.53/0.73 (define @t88 () (@var "X2" $$unsorted)) % 0.53/0.73 (define @t89 () (tptp.cons @t27 tptp.nil)) % 0.53/0.73 (define @t90 () (tptp.cons @t28 tptp.nil)) % 0.53/0.73 (define @t91 () (@var "X1" $$unsorted)) % 0.53/0.73 (define @t92 () (tptp.app (tptp.app @t91 @t90) @t89)) % 0.53/0.73 (define @t93 () (tptp.app @t92 @t88)) % 0.53/0.73 (define @t94 () (= @t28 @t27)) % 0.53/0.73 (define @t95 () (not @t94)) % 0.53/0.73 (define @t96 () (tptp.ssList @t88)) % 0.53/0.73 (define @t97 () (and @t96 @t95 (= @t93 @t12))) % 0.53/0.73 (define @t98 () (@list @t88)) % 0.53/0.73 (define @t99 () (exists @t98 @t97)) % 0.53/0.73 (define @t100 () (tptp.ssList @t91)) % 0.53/0.73 (define @t101 () (and @t100 @t99)) % 0.53/0.73 (define @t102 () (@list @t91)) % 0.53/0.73 (define @t103 () (exists @t102 @t101)) % 0.53/0.73 (define @t104 () (tptp.ssItem @t27)) % 0.53/0.73 (define @t105 () (and @t104 @t103)) % 0.53/0.73 (define @t106 () (exists @t31 @t105)) % 0.53/0.73 (define @t107 () (tptp.ssItem @t28)) % 0.53/0.73 (define @t108 () (and @t107 @t106)) % 0.53/0.73 (define @t109 () (exists @t33 @t108)) % 0.53/0.73 (define @t110 () (not (= @t2 @t12))) % 0.53/0.73 (define @t111 () (not (= @t1 @t10))) % 0.53/0.73 (define @t112 () (or @t111 @t110 @t109 @t87)) % 0.53/0.73 (define @t113 () (=> @t13 @t112)) % 0.53/0.73 (define @t114 () (forall @t14 @t113)) % 0.53/0.73 (define @t115 () (=> @t15 @t114)) % 0.53/0.73 (define @t116 () (forall @t16 @t115)) % 0.53/0.73 (define @t117 () (=> @t21 @t116)) % 0.53/0.73 (define @t118 () (forall @t7 @t117)) % 0.53/0.73 (define @t119 () (=> @t17 @t118)) % 0.53/0.73 (define @t120 () (forall @t9 @t119)) % 0.53/0.73 (define @t121 () (not @t120)) % 0.53/0.73 (define @t122 () (@var "BOUND_VARIABLE_11201" $$unsorted)) % 0.53/0.73 (define @t123 () (not (tptp.ssList @t122))) % 0.53/0.73 (define @t124 () (@var "BOUND_VARIABLE_11199" $$unsorted)) % 0.53/0.73 (define @t125 () (not (tptp.ssList @t124))) % 0.53/0.73 (define @t126 () (@var "BOUND_VARIABLE_11197" $$unsorted)) % 0.53/0.73 (define @t127 () (@var "BOUND_VARIABLE_11195" $$unsorted)) % 0.53/0.73 (define @t128 () (= @t127 @t126)) % 0.53/0.73 (define @t129 () (not (tptp.ssItem @t126))) % 0.53/0.73 (define @t130 () (not (tptp.ssItem @t127))) % 0.53/0.73 (define @t131 () (tptp.app (tptp.app (tptp.app @t124 (tptp.cons @t127 tptp.nil)) (tptp.cons @t126 tptp.nil)) @t122)) % 0.53/0.73 (define @t132 () (@var "BOUND_VARIABLE_11043" $$unsorted)) % 0.53/0.73 (define @t133 () (@var "BOUND_VARIABLE_11039" $$unsorted)) % 0.53/0.73 (define @t134 () (@var "BOUND_VARIABLE_11041" $$unsorted)) % 0.53/0.73 (define @t135 () (tptp.app (tptp.app (tptp.app @t134 @t90) (tptp.cons @t133 tptp.nil)) @t132)) % 0.53/0.73 (define @t136 () (not (tptp.ssList @t132))) % 0.53/0.73 (define @t137 () (not (tptp.ssList @t134))) % 0.53/0.73 (define @t138 () (= @t28 @t133)) % 0.53/0.73 (define @t139 () (not (tptp.ssItem @t133))) % 0.53/0.73 (define @t140 () (not @t107)) % 0.53/0.73 (define @t141 () (@list @t28 @t133 @t134 @t132)) % 0.53/0.73 (define @t142 () (not (forall @t141 (or @t140 @t139 @t138 @t137 @t136 (not (= @t135 @t131)))))) % 0.53/0.73 (define @t143 () (not (tptp.ssList @t131))) % 0.53/0.73 (define @t144 () (or @t143 @t142 @t130 @t129 @t128 @t125 @t123)) % 0.53/0.73 (define @t145 () (not (= @t131 @t131))) % 0.53/0.73 (define @t146 () (not (= @t131 @t135))) % 0.53/0.73 (define @t147 () (or @t140 @t139 @t138 @t137 @t136 @t146)) % 0.53/0.73 (define @t148 () (forall @t141 @t147)) % 0.53/0.73 (define @t149 () (not @t148)) % 0.53/0.73 (define @t150 () (or @t143 @t149 @t130 @t129 @t128 @t125 @t123 @t145)) % 0.53/0.73 (define @t151 () (@list @t127 @t126 @t124 @t122)) % 0.53/0.73 (define @t152 () (not (= @t2 @t131))) % 0.53/0.73 (define @t153 () (not (forall @t141 (or @t140 @t139 @t138 @t137 @t136 (not (= @t2 @t135)))))) % 0.53/0.73 (define @t154 () (not @t17)) % 0.53/0.73 (define @t155 () (or @t152 @t154 @t153 @t130 @t129 @t128 @t125 @t123 @t152)) % 0.53/0.73 (define @t156 () (or @t154 @t153 @t130 @t129 @t128 @t125 @t123 @t152)) % 0.53/0.73 (define @t157 () (forall @t9 @t156)) % 0.53/0.73 (define @t158 () (forall @t151 @t157)) % 0.53/0.73 (define @t159 () (forall (@list @t127 @t126 @t124 @t122 @t2) @t156)) % 0.53/0.73 (define @t160 () (@list @t2 @t127 @t126 @t124 @t122)) % 0.53/0.73 (define @t161 () (or @t130 @t129 @t128 @t125 @t123 @t152)) % 0.53/0.73 (define @t162 () (or @t154 @t161 @t153)) % 0.53/0.73 (define @t163 () (forall @t160 @t162)) % 0.53/0.73 (define @t164 () (forall @t151 @t162)) % 0.53/0.73 (define @t165 () (forall @t151 @t161)) % 0.53/0.73 (define @t166 () (@var "BOUND_VARIABLE_11131" $$unsorted)) % 0.53/0.73 (define @t167 () (@var "BOUND_VARIABLE_11129" $$unsorted)) % 0.53/0.73 (define @t168 () (@var "BOUND_VARIABLE_11127" $$unsorted)) % 0.53/0.73 (define @t169 () (or @t154 @t165 @t153)) % 0.53/0.73 (define @t170 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t167 @t66) (tptp.cons @t168 tptp.nil)) @t166)))) % 0.53/0.73 (define @t171 () (not (tptp.ssList @t166))) % 0.53/0.73 (define @t172 () (not (tptp.ssList @t167))) % 0.53/0.73 (define @t173 () (= @t62 @t168)) % 0.53/0.73 (define @t174 () (not (tptp.ssItem @t168))) % 0.53/0.73 (define @t175 () (not @t84)) % 0.53/0.73 (define @t176 () (or @t175 @t174 @t173 @t172 @t171 @t170)) % 0.53/0.73 (define @t177 () (@list @t62 @t168 @t167 @t166)) % 0.53/0.73 (define @t178 () (forall @t177 @t176)) % 0.53/0.73 (define @t179 () (or @t154 @t178 @t153)) % 0.53/0.73 (define @t180 () (forall @t9 @t179)) % 0.53/0.73 (define @t181 () (not @t21)) % 0.53/0.73 (define @t182 () (forall @t7 @t181)) % 0.53/0.73 (define @t183 () (or @t182 @t180)) % 0.53/0.73 (define @t184 () (or @t182 @t179)) % 0.53/0.73 (define @t185 () (or @t154 @t178 @t153 @t182)) % 0.53/0.73 (define @t186 () (or @t178 @t154 @t153 @t182)) % 0.53/0.73 (define @t187 () (or @t178 @t154 @t153 @t181)) % 0.53/0.73 (define @t188 () (or @t181 @t178 @t154 @t153)) % 0.53/0.73 (define @t189 () (or @t178 @t181 @t154 @t153)) % 0.53/0.73 (define @t190 () (or @t154 @t153)) % 0.53/0.73 (define @t191 () (not (= @t2 @t2))) % 0.53/0.73 (define @t192 () (or @t154 @t191 @t153)) % 0.53/0.73 (define @t193 () (not (= @t12 @t135))) % 0.53/0.73 (define @t194 () (or @t140 @t139 @t138 @t137 @t136 @t193)) % 0.53/0.73 (define @t195 () (not (forall @t141 @t194))) % 0.53/0.73 (define @t196 () (not @t15)) % 0.53/0.73 (define @t197 () (or @t110 @t196 @t110 @t195)) % 0.53/0.73 (define @t198 () (or @t196 @t110 @t195)) % 0.53/0.73 (define @t199 () (forall @t16 @t198)) % 0.53/0.73 (define @t200 () (or @t178 @t181 @t199)) % 0.53/0.73 (define @t201 () (or @t178 @t181 @t198)) % 0.53/0.73 (define @t202 () (or @t196 @t110 @t195 @t178 @t181)) % 0.53/0.73 (define @t203 () (or @t110 @t195 @t178 @t181)) % 0.53/0.73 (define @t204 () (not (= @t1 @t1))) % 0.53/0.73 (define @t205 () (or @t181 @t204)) % 0.53/0.73 (define @t206 () (not @t13)) % 0.53/0.73 (define @t207 () (or @t111 @t206 @t111)) % 0.53/0.73 (define @t208 () (or @t206 @t111)) % 0.53/0.73 (define @t209 () (forall @t14 @t208)) % 0.53/0.73 (define @t210 () (or @t110 @t195 @t178 @t209)) % 0.53/0.73 (define @t211 () (or @t110 @t195 @t178 @t208)) % 0.53/0.73 (define @t212 () (or @t206 @t111 @t110 @t195 @t178)) % 0.53/0.73 (define @t213 () (or @t111 @t110 @t195 @t178)) % 0.53/0.73 (define @t214 () (or @t174 @t173 @t172 @t171 @t170)) % 0.53/0.73 (define @t215 () (or @t175 @t214)) % 0.53/0.73 (define @t216 () (forall @t177 @t215)) % 0.53/0.73 (define @t217 () (@list @t168 @t167 @t166)) % 0.53/0.73 (define @t218 () (forall @t217 @t215)) % 0.53/0.73 (define @t219 () (forall @t217 @t214)) % 0.53/0.73 (define @t220 () (@var "BOUND_VARIABLE_11105" $$unsorted)) % 0.53/0.73 (define @t221 () (@var "BOUND_VARIABLE_11103" $$unsorted)) % 0.53/0.73 (define @t222 () (or @t175 @t219)) % 0.53/0.73 (define @t223 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t221 @t66) @t65) @t220)))) % 0.53/0.73 (define @t224 () (not (tptp.ssList @t220))) % 0.53/0.73 (define @t225 () (not (tptp.ssList @t221))) % 0.53/0.73 (define @t226 () (not @t80)) % 0.53/0.73 (define @t227 () (or @t226 @t63 @t225 @t224 @t223)) % 0.53/0.73 (define @t228 () (@list @t61 @t221 @t220)) % 0.53/0.73 (define @t229 () (forall @t228 @t227)) % 0.53/0.73 (define @t230 () (or @t225 @t224 @t223)) % 0.53/0.73 (define @t231 () (or @t226 @t63 @t230)) % 0.53/0.73 (define @t232 () (forall @t228 @t231)) % 0.53/0.73 (define @t233 () (@list @t221 @t220)) % 0.53/0.73 (define @t234 () (forall @t233 @t231)) % 0.53/0.73 (define @t235 () (forall @t233 @t230)) % 0.53/0.73 (define @t236 () (@var "BOUND_VARIABLE_11084" $$unsorted)) % 0.53/0.73 (define @t237 () (or @t226 @t63 @t235)) % 0.53/0.73 (define @t238 () (not (= @t2 (tptp.app @t68 @t236)))) % 0.53/0.73 (define @t239 () (not (tptp.ssList @t236))) % 0.53/0.73 (define @t240 () (not @t76)) % 0.53/0.73 (define @t241 () (or @t240 @t239 @t238)) % 0.53/0.73 (define @t242 () (@list @t67 @t236)) % 0.53/0.73 (define @t243 () (forall @t242 @t241)) % 0.53/0.73 (define @t244 () (or @t226 @t63 @t243)) % 0.53/0.73 (define @t245 () (or @t63 @t243)) % 0.53/0.73 (define @t246 () (or @t239 @t238)) % 0.53/0.73 (define @t247 () (or @t240 @t246)) % 0.53/0.73 (define @t248 () (forall @t242 @t247)) % 0.53/0.73 (define @t249 () (@list @t236)) % 0.53/0.73 (define @t250 () (forall @t249 @t247)) % 0.53/0.73 (define @t251 () (forall @t249 @t246)) % 0.53/0.73 (define @t252 () (or @t240 @t251)) % 0.53/0.73 (define @t253 () (not (= @t2 @t69))) % 0.53/0.73 (define @t254 () (not @t72)) % 0.53/0.73 (define @t255 () (or @t254 @t253)) % 0.53/0.73 (define @t256 () (forall @t74 @t255)) % 0.53/0.73 (define @t257 () (or @t240 @t256)) % 0.53/0.73 (define @t258 () (forall @t78 @t257)) % 0.53/0.73 (define @t259 () (or @t63 @t258)) % 0.53/0.73 (define @t260 () (or @t63 @t257)) % 0.53/0.73 (define @t261 () (or @t240 @t63 @t256)) % 0.53/0.73 (define @t262 () (or @t63 @t256)) % 0.53/0.73 (define @t263 () (or @t63 @t255)) % 0.53/0.73 (define @t264 () (or @t254 @t253 @t63)) % 0.53/0.73 (define @t265 () (or @t253 @t63)) % 0.53/0.73 (define @t266 () (or @t139 @t138 @t137 @t136 @t193)) % 0.53/0.73 (define @t267 () (or @t140 @t266)) % 0.53/0.73 (define @t268 () (forall @t141 @t267)) % 0.53/0.73 (define @t269 () (@list @t133 @t134 @t132)) % 0.53/0.73 (define @t270 () (forall @t269 @t267)) % 0.53/0.73 (define @t271 () (forall @t269 @t266)) % 0.53/0.73 (define @t272 () (@var "BOUND_VARIABLE_11013" $$unsorted)) % 0.53/0.73 (define @t273 () (@var "BOUND_VARIABLE_11011" $$unsorted)) % 0.53/0.73 (define @t274 () (or @t140 @t271)) % 0.53/0.73 (define @t275 () (not (= @t12 (tptp.app (tptp.app (tptp.app @t273 @t90) @t89) @t272)))) % 0.53/0.73 (define @t276 () (not (tptp.ssList @t272))) % 0.53/0.73 (define @t277 () (not (tptp.ssList @t273))) % 0.53/0.73 (define @t278 () (not @t104)) % 0.53/0.73 (define @t279 () (or @t278 @t94 @t277 @t276 @t275)) % 0.53/0.73 (define @t280 () (@list @t27 @t273 @t272)) % 0.53/0.73 (define @t281 () (forall @t280 @t279)) % 0.53/0.73 (define @t282 () (not @t281)) % 0.53/0.73 (define @t283 () (and @t107 @t282)) % 0.53/0.73 (define @t284 () (forall @t33 (not @t283))) % 0.53/0.73 (define @t285 () (not @t284)) % 0.53/0.73 (define @t286 () (or @t277 @t276 @t275)) % 0.53/0.73 (define @t287 () (or @t278 @t94 @t286)) % 0.53/0.73 (define @t288 () (forall @t280 @t287)) % 0.53/0.73 (define @t289 () (@list @t273 @t272)) % 0.53/0.73 (define @t290 () (forall @t289 @t287)) % 0.53/0.73 (define @t291 () (forall @t289 @t286)) % 0.53/0.73 (define @t292 () (@var "BOUND_VARIABLE_10988" $$unsorted)) % 0.53/0.73 (define @t293 () (or @t278 @t94 @t291)) % 0.53/0.73 (define @t294 () (not (= @t12 (tptp.app @t92 @t292)))) % 0.53/0.73 (define @t295 () (not (tptp.ssList @t292))) % 0.53/0.73 (define @t296 () (not @t100)) % 0.53/0.73 (define @t297 () (or @t296 @t295 @t294)) % 0.53/0.73 (define @t298 () (@list @t91 @t292)) % 0.53/0.73 (define @t299 () (forall @t298 @t297)) % 0.53/0.73 (define @t300 () (or @t278 @t94 @t299)) % 0.53/0.73 (define @t301 () (or @t94 @t299)) % 0.53/0.73 (define @t302 () (not @t301)) % 0.53/0.73 (define @t303 () (and @t104 @t302)) % 0.53/0.73 (define @t304 () (forall @t31 (not @t303))) % 0.53/0.73 (define @t305 () (not @t304)) % 0.53/0.73 (define @t306 () (or @t295 @t294)) % 0.53/0.73 (define @t307 () (or @t296 @t306)) % 0.53/0.73 (define @t308 () (forall @t298 @t307)) % 0.53/0.73 (define @t309 () (@list @t292)) % 0.53/0.73 (define @t310 () (forall @t309 @t307)) % 0.53/0.73 (define @t311 () (forall @t309 @t306)) % 0.53/0.73 (define @t312 () (or @t296 @t311)) % 0.53/0.73 (define @t313 () (= @t12 @t93)) % 0.53/0.73 (define @t314 () (not @t313)) % 0.53/0.73 (define @t315 () (not @t96)) % 0.53/0.73 (define @t316 () (or @t315 @t314)) % 0.53/0.73 (define @t317 () (forall @t98 @t316)) % 0.53/0.73 (define @t318 () (or @t296 @t317)) % 0.53/0.73 (define @t319 () (forall @t102 @t318)) % 0.53/0.73 (define @t320 () (or @t94 @t319)) % 0.53/0.73 (define @t321 () (or @t94 @t318)) % 0.53/0.73 (define @t322 () (or @t296 @t94 @t317)) % 0.53/0.73 (define @t323 () (or @t94 @t317)) % 0.53/0.73 (define @t324 () (not @t323)) % 0.53/0.73 (define @t325 () (and @t100 @t324)) % 0.53/0.73 (define @t326 () (forall @t102 (not @t325))) % 0.53/0.73 (define @t327 () (not @t326)) % 0.53/0.73 (define @t328 () (or @t94 @t316)) % 0.53/0.73 (define @t329 () (or @t315 @t94 @t314)) % 0.53/0.73 (define @t330 () (not @t95)) % 0.53/0.73 (define @t331 () (or @t315 @t330 @t314)) % 0.53/0.73 (define @t332 () (and @t96 @t95 @t313)) % 0.53/0.73 (define @t333 () (forall @t98 (not @t332))) % 0.53/0.73 (define @t334 () (not @t333)) % 0.53/0.73 (define @t335 () (forall @t151 @t144)) % 0.53/0.73 (define @t336 () (@quantifiers_skolemize @t335 3)) % 0.53/0.73 (define @t337 () (@quantifiers_skolemize @t335 1)) % 0.53/0.73 (define @t338 () (@quantifiers_skolemize @t335 0)) % 0.53/0.73 (define @t339 () (@quantifiers_skolemize @t335 2)) % 0.53/0.73 (define @t340 () (tptp.app (tptp.app (tptp.app @t339 (tptp.cons @t338 tptp.nil)) (tptp.cons @t337 tptp.nil)) @t336)) % 0.53/0.73 (define @t341 () (forall @t141 (or @t140 @t139 @t138 @t137 @t136 (not (= @t135 @t340))))) % 0.53/0.73 (define @t342 () (tptp.ssList @t336)) % 0.53/0.73 (define @t343 () (not @t342)) % 0.53/0.73 (define @t344 () (tptp.ssList @t339)) % 0.53/0.73 (define @t345 () (not @t344)) % 0.53/0.73 (define @t346 () (= @t338 @t337)) % 0.53/0.73 (define @t347 () (tptp.ssItem @t337)) % 0.53/0.73 (define @t348 () (not @t347)) % 0.53/0.73 (define @t349 () (tptp.ssItem @t338)) % 0.53/0.73 (define @t350 () (not @t349)) % 0.53/0.73 (define @t351 () (not @t341)) % 0.53/0.73 (define @t352 () (or (not (tptp.ssList @t340)) @t351 @t350 @t348 @t346 @t345 @t343)) % 0.53/0.73 (define @t353 () (@list true)) % 0.53/0.73 (define @t354 () (@list @t352)) % 0.53/0.73 (define @t355 () (or @t350 @t348 @t346 @t345 @t343)) % 0.53/0.73 (define @t356 () (not @t355)) % 0.53/0.73 (define @t357 () (not (= @t340 @t340))) % 0.53/0.73 (define @t358 () (or @t350 @t348 @t346 @t345 @t343 @t357)) % 0.53/0.73 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.53/0.73 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.53/0.73 (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))))))))))) % 0.53/0.73 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.53/0.73 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.53/0.73 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.53/0.73 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.53/0.73 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.53/0.73 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.53/0.73 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.53/0.73 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.53/0.73 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.53/0.73 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.53/0.73 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.53/0.73 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.53/0.73 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.53/0.73 (assume @p17 (tptp.ssList tptp.nil)) % 0.53/0.73 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.53/0.73 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t38))))))))))) % 0.53/0.73 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.53/0.73 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.53/0.73 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.53/0.73 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.53/0.73 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.53/0.73 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.53/0.73 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.53/0.73 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.53/0.73 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.53/0.73 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.53/0.73 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.53/0.73 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.53/0.73 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.53/0.73 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.53/0.73 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.53/0.73 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.53/0.73 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.53/0.73 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.53/0.73 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.53/0.73 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.53/0.73 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.53/0.73 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.53/0.73 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.53/0.73 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.53/0.73 (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)))))))))))) % 0.53/0.73 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.53/0.73 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.53/0.73 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.53/0.73 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.53/0.73 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.53/0.73 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.53/0.73 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.53/0.73 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.53/0.73 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.53/0.73 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.53/0.73 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.53/0.73 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.53/0.73 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.53/0.73 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.53/0.73 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.53/0.73 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.53/0.73 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.53/0.73 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.53/0.73 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.53/0.73 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.53/0.73 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.53/0.73 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.53/0.73 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.53/0.73 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.53/0.73 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.53/0.73 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 0.53/0.73 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 0.53/0.73 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.53/0.73 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 0.53/0.73 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.53/0.73 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 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