%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC407+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 08:59:12 AM UTC 2026 % Result : Theorem 0.72s 0.93s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC407+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 % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:46:28 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.72/0.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/0.93 % SZS status Theorem % 0.72/0.93 % SZS output start Proof % 0.72/0.93 ( % 0.72/0.93 (declare-sort $$unsorted 0) % 0.72/0.93 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.72/0.93 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.72/0.93 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.93 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.93 (declare-const tptp.nil $$unsorted) % 0.72/0.93 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.72/0.93 (define @t1 () (@var "V" $$unsorted)) % 0.72/0.93 (define @t2 () (@var "U" $$unsorted)) % 0.72/0.93 (define @t3 () (= @t2 @t1)) % 0.72/0.93 (define @t4 () (not @t3)) % 0.72/0.93 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.72/0.93 (define @t6 () (tptp.ssItem @t1)) % 0.72/0.93 (define @t7 () (@list @t1)) % 0.72/0.93 (define @t8 () (tptp.ssItem @t2)) % 0.72/0.93 (define @t9 () (@list @t2)) % 0.72/0.93 (define @t10 () (@var "X" $$unsorted)) % 0.72/0.93 (define @t11 () (tptp.cons @t1 @t10)) % 0.72/0.93 (define @t12 () (@var "W" $$unsorted)) % 0.72/0.93 (define @t13 () (tptp.ssList @t10)) % 0.72/0.93 (define @t14 () (@list @t10)) % 0.72/0.93 (define @t15 () (tptp.ssList @t12)) % 0.72/0.93 (define @t16 () (@list @t12)) % 0.72/0.93 (define @t17 () (tptp.ssList @t2)) % 0.72/0.93 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.72/0.93 (define @t19 () (tptp.app @t1 @t12)) % 0.72/0.93 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.72/0.93 (define @t21 () (tptp.ssList @t1)) % 0.72/0.93 (define @t22 () (tptp.app @t12 @t1)) % 0.72/0.93 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.72/0.93 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.72/0.93 (define @t25 () (tptp.leq @t12 @t1)) % 0.72/0.93 (define @t26 () (tptp.leq @t1 @t12)) % 0.72/0.93 (define @t27 () (@var "Z" $$unsorted)) % 0.72/0.93 (define @t28 () (@var "Y" $$unsorted)) % 0.72/0.93 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.72/0.93 (define @t30 () (tptp.ssList @t27)) % 0.72/0.93 (define @t31 () (@list @t27)) % 0.72/0.93 (define @t32 () (tptp.ssList @t28)) % 0.72/0.93 (define @t33 () (@list @t28)) % 0.72/0.93 (define @t34 () (tptp.ssItem @t12)) % 0.72/0.93 (define @t35 () (tptp.lt @t1 @t12)) % 0.72/0.93 (define @t36 () (= @t1 @t12)) % 0.72/0.93 (define @t37 () (tptp.cons @t1 @t2)) % 0.72/0.93 (define @t38 () (tptp.ssList tptp.nil)) % 0.72/0.93 (define @t39 () (= @t1 @t2)) % 0.72/0.93 (define @t40 () (tptp.cons @t12 @t1)) % 0.72/0.93 (define @t41 () (= tptp.nil @t2)) % 0.72/0.93 (define @t42 () (tptp.hd @t2)) % 0.72/0.93 (define @t43 () (not @t41)) % 0.72/0.93 (define @t44 () (tptp.tl @t2)) % 0.72/0.93 (define @t45 () (tptp.app @t2 @t1)) % 0.72/0.93 (define @t46 () (tptp.app @t1 @t2)) % 0.72/0.93 (define @t47 () (tptp.leq @t1 @t2)) % 0.72/0.93 (define @t48 () (tptp.leq @t2 @t1)) % 0.72/0.93 (define @t49 () (tptp.geq @t2 @t1)) % 0.72/0.93 (define @t50 () (tptp.lt @t1 @t2)) % 0.72/0.93 (define @t51 () (tptp.lt @t2 @t1)) % 0.72/0.93 (define @t52 () (tptp.lt @t2 @t12)) % 0.72/0.93 (define @t53 () (tptp.gt @t2 @t1)) % 0.72/0.93 (define @t54 () (tptp.memberP @t12 @t2)) % 0.72/0.93 (define @t55 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))) % 0.72/0.93 (define @t56 () (forall @t16 (=> @t15 @t55))) % 0.72/0.93 (define @t57 () (=> @t6 @t56)) % 0.72/0.93 (define @t58 () (forall @t7 @t57)) % 0.72/0.93 (define @t59 () (=> @t8 @t58)) % 0.72/0.93 (define @t60 () (forall @t9 @t59)) % 0.72/0.93 (define @t61 () (not (tptp.memberP tptp.nil @t2))) % 0.72/0.93 (define @t62 () (forall @t9 (=> @t8 @t61))) % 0.72/0.93 (define @t63 () (tptp.app @t12 @t2)) % 0.72/0.93 (define @t64 () (tptp.cons @t2 tptp.nil)) % 0.72/0.93 (define @t65 () (tptp.hd @t1)) % 0.72/0.93 (define @t66 () (= tptp.nil @t1)) % 0.72/0.93 (define @t67 () (not @t66)) % 0.72/0.93 (define @t68 () (tptp.cons @t2 @t1)) % 0.72/0.93 (define @t69 () (= @t12 @t2)) % 0.72/0.93 (define @t70 () (not (= tptp.nil @t12))) % 0.72/0.93 (define @t71 () (not (= tptp.nil @t10))) % 0.72/0.93 (define @t72 () (or @t71 @t70)) % 0.72/0.93 (define @t73 () (not (tptp.memberP @t10 @t27))) % 0.72/0.93 (define @t74 () (tptp.cons @t27 tptp.nil)) % 0.72/0.93 (define @t75 () (not (= @t74 @t12))) % 0.72/0.93 (define @t76 () (or @t75 @t73)) % 0.72/0.93 (define @t77 () (tptp.ssItem @t27)) % 0.72/0.93 (define @t78 () (=> @t77 @t76)) % 0.72/0.93 (define @t79 () (forall @t31 @t78)) % 0.72/0.93 (define @t80 () (and @t79 @t72)) % 0.72/0.93 (define @t81 () (tptp.memberP @t1 @t28)) % 0.72/0.93 (define @t82 () (not (tptp.memberP @t2 @t28))) % 0.72/0.93 (define @t83 () (or @t82 @t81)) % 0.72/0.93 (define @t84 () (tptp.ssItem @t28)) % 0.72/0.93 (define @t85 () (forall @t33 (=> @t84 @t83))) % 0.72/0.93 (define @t86 () (not (= @t2 @t12))) % 0.72/0.93 (define @t87 () (not (= @t1 @t10))) % 0.72/0.93 (define @t88 () (or @t87 @t86 @t85 @t80)) % 0.72/0.93 (define @t89 () (=> @t13 @t88)) % 0.72/0.93 (define @t90 () (forall @t14 @t89)) % 0.72/0.93 (define @t91 () (=> @t15 @t90)) % 0.72/0.93 (define @t92 () (forall @t16 @t91)) % 0.72/0.93 (define @t93 () (=> @t21 @t92)) % 0.72/0.93 (define @t94 () (forall @t7 @t93)) % 0.72/0.93 (define @t95 () (=> @t17 @t94)) % 0.72/0.93 (define @t96 () (forall @t9 @t95)) % 0.72/0.93 (define @t97 () (not @t96)) % 0.72/0.93 (define @t98 () (@var "BOUND_VARIABLE_11093" $$unsorted)) % 0.72/0.93 (define @t99 () (@var "BOUND_VARIABLE_11091" $$unsorted)) % 0.72/0.93 (define @t100 () (tptp.memberP @t99 @t98)) % 0.72/0.93 (define @t101 () (not (tptp.memberP @t2 @t98))) % 0.72/0.93 (define @t102 () (not (tptp.ssItem @t98))) % 0.72/0.93 (define @t103 () (not (= @t2 tptp.nil))) % 0.72/0.93 (define @t104 () (not (= @t99 tptp.nil))) % 0.72/0.93 (define @t105 () (or @t104 @t103)) % 0.72/0.93 (define @t106 () (@var "BOUND_VARIABLE_11095" $$unsorted)) % 0.72/0.93 (define @t107 () (or (not (tptp.ssItem @t106)) (not (= @t2 (tptp.cons @t106 tptp.nil))) (not (tptp.memberP @t99 @t106)))) % 0.72/0.93 (define @t108 () (and @t107 @t105)) % 0.72/0.93 (define @t109 () (not (tptp.ssList @t99))) % 0.72/0.93 (define @t110 () (not @t17)) % 0.72/0.93 (define @t111 () (or @t110 @t109 @t108 @t102 @t101 @t100)) % 0.72/0.93 (define @t112 () (or @t109 @t108 @t102 @t101 @t100)) % 0.72/0.93 (define @t113 () (or @t110 @t112)) % 0.72/0.93 (define @t114 () (@list @t2 @t99 @t98 @t106)) % 0.72/0.93 (define @t115 () (forall @t114 @t113)) % 0.72/0.93 (define @t116 () (@list @t99 @t98 @t106)) % 0.72/0.93 (define @t117 () (forall @t116 @t113)) % 0.72/0.93 (define @t118 () (forall @t116 @t112)) % 0.72/0.93 (define @t119 () (@var "BOUND_VARIABLE_11071" $$unsorted)) % 0.72/0.93 (define @t120 () (@var "BOUND_VARIABLE_11063" $$unsorted)) % 0.72/0.93 (define @t121 () (or @t110 @t118)) % 0.72/0.93 (define @t122 () (tptp.memberP @t1 @t120)) % 0.72/0.93 (define @t123 () (not (tptp.memberP @t2 @t120))) % 0.72/0.93 (define @t124 () (not (tptp.ssItem @t120))) % 0.72/0.93 (define @t125 () (not (= @t1 tptp.nil))) % 0.72/0.93 (define @t126 () (or @t125 @t103)) % 0.72/0.93 (define @t127 () (or (not (tptp.ssItem @t119)) (not (= @t2 (tptp.cons @t119 tptp.nil))) (not (tptp.memberP @t1 @t119)))) % 0.72/0.93 (define @t128 () (and @t127 @t126)) % 0.72/0.93 (define @t129 () (not @t21)) % 0.72/0.93 (define @t130 () (or @t129 @t128 @t124 @t123 @t122)) % 0.72/0.93 (define @t131 () (@list @t1 @t120 @t119)) % 0.72/0.93 (define @t132 () (or @t110 (forall @t131 @t130))) % 0.72/0.93 (define @t133 () (or @t124 @t123 @t122)) % 0.72/0.93 (define @t134 () (or @t129 @t133 @t128)) % 0.72/0.93 (define @t135 () (forall @t131 @t134)) % 0.72/0.93 (define @t136 () (forall (@list @t120 @t119) @t134)) % 0.72/0.93 (define @t137 () (@list @t119)) % 0.72/0.93 (define @t138 () (forall @t137 @t126)) % 0.72/0.93 (define @t139 () (forall @t137 @t127)) % 0.72/0.93 (define @t140 () (@var "BOUND_VARIABLE_11038" $$unsorted)) % 0.72/0.93 (define @t141 () (@list @t140)) % 0.72/0.93 (define @t142 () (and @t139 @t138)) % 0.72/0.93 (define @t143 () (forall @t137 @t128)) % 0.72/0.93 (define @t144 () (forall (@list @t120) @t133)) % 0.72/0.93 (define @t145 () (or @t129 @t144 @t143)) % 0.72/0.93 (define @t146 () (and (forall (@list @t140) (or (not (tptp.ssItem @t140)) (not (= @t2 (tptp.cons @t140 tptp.nil))) (not (tptp.memberP @t1 @t140)))) @t126)) % 0.72/0.93 (define @t147 () (not @t84)) % 0.72/0.93 (define @t148 () (or @t147 @t82 @t81)) % 0.72/0.93 (define @t149 () (forall @t33 @t148)) % 0.72/0.93 (define @t150 () (or @t129 @t149 @t146)) % 0.72/0.93 (define @t151 () (forall @t7 @t150)) % 0.72/0.93 (define @t152 () (or @t110 @t151)) % 0.72/0.93 (define @t153 () (or @t110 @t150)) % 0.72/0.93 (define @t154 () (or @t129 @t149 @t110 @t146)) % 0.72/0.93 (define @t155 () (or @t149 @t129 @t110 @t146)) % 0.72/0.93 (define @t156 () (@var "BOUND_VARIABLE_11009" $$unsorted)) % 0.72/0.93 (define @t157 () (@list @t156)) % 0.72/0.93 (define @t158 () (forall @t157 @t126)) % 0.72/0.93 (define @t159 () (not (tptp.memberP @t1 @t156))) % 0.72/0.93 (define @t160 () (tptp.cons @t156 tptp.nil)) % 0.72/0.93 (define @t161 () (not (tptp.ssItem @t156))) % 0.72/0.93 (define @t162 () (or @t161 (not (= @t2 @t160)) @t159)) % 0.72/0.93 (define @t163 () (forall @t157 @t162)) % 0.72/0.93 (define @t164 () (@list @t156)) % 0.72/0.93 (define @t165 () (and @t163 @t158)) % 0.72/0.93 (define @t166 () (and @t162 @t126)) % 0.72/0.93 (define @t167 () (forall @t157 @t166)) % 0.72/0.93 (define @t168 () (or @t110 @t167)) % 0.72/0.93 (define @t169 () (or @t110 @t166)) % 0.72/0.93 (define @t170 () (not (= @t2 @t2))) % 0.72/0.93 (define @t171 () (or @t110 @t170 @t166)) % 0.72/0.93 (define @t172 () (not (= @t12 tptp.nil))) % 0.72/0.93 (define @t173 () (or @t125 @t172)) % 0.72/0.93 (define @t174 () (or @t161 (not (= @t12 @t160)) @t159)) % 0.72/0.93 (define @t175 () (and @t174 @t173)) % 0.72/0.93 (define @t176 () (not @t15)) % 0.72/0.93 (define @t177 () (or @t86 @t176 @t86 @t175)) % 0.72/0.93 (define @t178 () (or @t176 @t86 @t175)) % 0.72/0.93 (define @t179 () (forall @t16 @t178)) % 0.72/0.93 (define @t180 () (forall @t157 @t179)) % 0.72/0.93 (define @t181 () (forall (@list @t156 @t12) @t178)) % 0.72/0.93 (define @t182 () (forall (@list @t12 @t156) @t178)) % 0.72/0.93 (define @t183 () (forall @t157 @t178)) % 0.72/0.93 (define @t184 () (forall @t157 @t173)) % 0.72/0.93 (define @t185 () (forall @t157 @t174)) % 0.72/0.93 (define @t186 () (@var "BOUND_VARIABLE_10984" $$unsorted)) % 0.72/0.93 (define @t187 () (@list @t186)) % 0.72/0.93 (define @t188 () (and @t185 @t184)) % 0.72/0.93 (define @t189 () (forall @t157 @t175)) % 0.72/0.93 (define @t190 () (or @t176 @t86 @t189)) % 0.72/0.93 (define @t191 () (and (forall (@list @t186) (or (not (tptp.ssItem @t186)) (not (= @t12 (tptp.cons @t186 tptp.nil))) (not (tptp.memberP @t1 @t186)))) @t173)) % 0.72/0.93 (define @t192 () (or @t176 @t86 @t191)) % 0.72/0.93 (define @t193 () (forall @t16 @t192)) % 0.72/0.93 (define @t194 () (or @t149 @t129 @t193)) % 0.72/0.93 (define @t195 () (or @t149 @t129 @t192)) % 0.72/0.93 (define @t196 () (or @t176 @t86 @t149 @t129 @t191)) % 0.72/0.93 (define @t197 () (or @t86 @t149 @t129 @t191)) % 0.72/0.93 (define @t198 () (@var "BOUND_VARIABLE_10957" $$unsorted)) % 0.72/0.93 (define @t199 () (@list @t198)) % 0.72/0.93 (define @t200 () (forall @t199 @t173)) % 0.72/0.93 (define @t201 () (not (= @t12 (tptp.cons @t198 tptp.nil)))) % 0.72/0.93 (define @t202 () (not (tptp.ssItem @t198))) % 0.72/0.93 (define @t203 () (or @t202 @t201 (not (tptp.memberP @t1 @t198)))) % 0.72/0.93 (define @t204 () (forall @t199 @t203)) % 0.72/0.93 (define @t205 () (@list @t198)) % 0.72/0.93 (define @t206 () (and @t204 @t200)) % 0.72/0.93 (define @t207 () (and @t203 @t173)) % 0.72/0.93 (define @t208 () (forall @t199 @t207)) % 0.72/0.93 (define @t209 () (or @t129 @t208)) % 0.72/0.93 (define @t210 () (or @t129 @t207)) % 0.72/0.93 (define @t211 () (not (= @t1 @t1))) % 0.72/0.93 (define @t212 () (or @t129 @t211 @t207)) % 0.72/0.93 (define @t213 () (or (not (= @t10 tptp.nil)) @t172)) % 0.72/0.93 (define @t214 () (or @t202 @t201 (not (tptp.memberP @t10 @t198)))) % 0.72/0.93 (define @t215 () (and @t214 @t213)) % 0.72/0.93 (define @t216 () (not @t13)) % 0.72/0.93 (define @t217 () (or @t87 @t216 @t87 @t215)) % 0.72/0.93 (define @t218 () (or @t216 @t87 @t215)) % 0.72/0.93 (define @t219 () (forall @t14 @t218)) % 0.72/0.93 (define @t220 () (forall @t199 @t219)) % 0.72/0.93 (define @t221 () (forall (@list @t198 @t10) @t218)) % 0.72/0.93 (define @t222 () (forall (@list @t10 @t198) @t218)) % 0.72/0.93 (define @t223 () (forall @t199 @t218)) % 0.72/0.93 (define @t224 () (forall @t199 @t213)) % 0.72/0.93 (define @t225 () (forall @t199 @t214)) % 0.72/0.93 (define @t226 () (and @t225 @t224)) % 0.72/0.93 (define @t227 () (forall @t199 @t215)) % 0.72/0.93 (define @t228 () (or @t216 @t87 @t227)) % 0.72/0.93 (define @t229 () (not (= @t12 @t74))) % 0.72/0.93 (define @t230 () (not @t77)) % 0.72/0.93 (define @t231 () (or @t230 @t229 @t73)) % 0.72/0.93 (define @t232 () (and (forall @t31 @t231) @t213)) % 0.72/0.93 (define @t233 () (or @t216 @t87 @t232)) % 0.72/0.93 (define @t234 () (forall @t14 @t233)) % 0.72/0.93 (define @t235 () (or @t86 @t149 @t234)) % 0.72/0.93 (define @t236 () (or @t86 @t149 @t233)) % 0.72/0.93 (define @t237 () (or @t216 @t87 @t86 @t149 @t232)) % 0.72/0.93 (define @t238 () (or @t87 @t86 @t149 @t232)) % 0.72/0.93 (define @t239 () (or @t229 @t73)) % 0.72/0.93 (define @t240 () (forall @t114 (or @t110 @t109 (and @t107 (or (not (= tptp.nil @t99)) @t103)) @t102 @t101 @t100))) % 0.72/0.93 (define @t241 () (@quantifiers_skolemize @t240 2)) % 0.72/0.93 (define @t242 () (@quantifiers_skolemize @t240 1)) % 0.72/0.93 (define @t243 () (tptp.memberP @t242 @t241)) % 0.72/0.93 (define @t244 () (@quantifiers_skolemize @t240 0)) % 0.72/0.93 (define @t245 () (tptp.memberP @t244 @t241)) % 0.72/0.93 (define @t246 () (not @t245)) % 0.72/0.93 (define @t247 () (tptp.ssItem @t241)) % 0.72/0.93 (define @t248 () (not @t247)) % 0.72/0.93 (define @t249 () (= tptp.nil @t244)) % 0.72/0.93 (define @t250 () (not @t249)) % 0.72/0.93 (define @t251 () (= tptp.nil @t242)) % 0.72/0.93 (define @t252 () (not @t251)) % 0.72/0.93 (define @t253 () (or @t252 @t250)) % 0.72/0.93 (define @t254 () (@quantifiers_skolemize @t240 3)) % 0.72/0.93 (define @t255 () (tptp.memberP @t242 @t254)) % 0.72/0.93 (define @t256 () (not @t255)) % 0.72/0.93 (define @t257 () (tptp.cons @t254 tptp.nil)) % 0.72/0.93 (define @t258 () (= @t244 @t257)) % 0.72/0.93 (define @t259 () (not @t258)) % 0.72/0.93 (define @t260 () (tptp.ssItem @t254)) % 0.72/0.93 (define @t261 () (not @t260)) % 0.72/0.93 (define @t262 () (or @t261 @t259 @t256)) % 0.72/0.93 (define @t263 () (and @t262 @t253)) % 0.72/0.93 (define @t264 () (not (tptp.ssList @t242))) % 0.72/0.93 (define @t265 () (not (tptp.ssList @t244))) % 0.72/0.93 (define @t266 () (or @t265 @t264 @t263 @t248 @t246 @t243)) % 0.72/0.93 (define @t267 () (not @t266)) % 0.72/0.93 (define @t268 () (not @t240)) % 0.72/0.93 (define @t269 () (not (= @t244 tptp.nil))) % 0.72/0.93 (define @t270 () (or @t252 @t269)) % 0.72/0.93 (define @t271 () (and @t262 @t270)) % 0.72/0.93 (define @t272 () (or @t265 @t264 @t271 @t248 @t246 @t243)) % 0.72/0.93 (define @t273 () (not @t272)) % 0.72/0.93 (define @t274 () (@list true)) % 0.72/0.93 (define @t275 () (not @t243)) % 0.72/0.93 (define @t276 () (@list @t266)) % 0.72/0.93 (define @t277 () (not @t275)) % 0.72/0.93 (define @t278 () (and @t275 @t251 @t249 @t245)) % 0.72/0.93 (define @t279 () (@list true false)) % 0.72/0.93 (define @t280 () (@list @t262)) % 0.72/0.93 (define @t281 () (@var "BOUND_VARIABLE_9708" $$unsorted)) % 0.72/0.93 (define @t282 () (@var "BOUND_VARIABLE_9706" $$unsorted)) % 0.72/0.93 (define @t283 () (= (tptp.memberP (tptp.cons @t282 @t281) @t2) (or (= @t2 @t282) (tptp.memberP @t281 @t2)))) % 0.72/0.93 (define @t284 () (not (tptp.ssList @t281))) % 0.72/0.93 (define @t285 () (not (tptp.ssItem @t282))) % 0.72/0.93 (define @t286 () (not @t8)) % 0.72/0.93 (define @t287 () (or @t285 @t284 @t283)) % 0.72/0.93 (define @t288 () (or @t286 @t287)) % 0.72/0.93 (define @t289 () (forall (@list @t2 @t282 @t281) @t288)) % 0.72/0.93 (define @t290 () (@list @t282 @t281)) % 0.72/0.93 (define @t291 () (forall @t290 @t288)) % 0.72/0.93 (define @t292 () (forall @t290 @t287)) % 0.72/0.93 (define @t293 () (@var "BOUND_VARIABLE_9687" $$unsorted)) % 0.72/0.93 (define @t294 () (or @t286 @t292)) % 0.72/0.93 (define @t295 () (= (tptp.memberP (tptp.cons @t1 @t293) @t2) (or @t3 (tptp.memberP @t293 @t2)))) % 0.72/0.93 (define @t296 () (not (tptp.ssList @t293))) % 0.72/0.93 (define @t297 () (not @t6)) % 0.72/0.93 (define @t298 () (or @t297 @t296 @t295)) % 0.72/0.93 (define @t299 () (@list @t1 @t293)) % 0.72/0.93 (define @t300 () (forall @t299 @t298)) % 0.72/0.93 (define @t301 () (or @t296 @t295)) % 0.72/0.93 (define @t302 () (or @t297 @t301)) % 0.72/0.93 (define @t303 () (forall @t299 @t302)) % 0.72/0.93 (define @t304 () (@list @t293)) % 0.72/0.93 (define @t305 () (forall @t304 @t302)) % 0.72/0.93 (define @t306 () (forall @t304 @t301)) % 0.72/0.93 (define @t307 () (or @t297 @t306)) % 0.72/0.93 (define @t308 () (forall @t16 (or @t176 @t55))) % 0.72/0.93 (define @t309 () (tptp.memberP tptp.nil @t241)) % 0.72/0.93 (define @t310 () (= @t241 @t254)) % 0.72/0.93 (define @t311 () (or @t310 @t309)) % 0.72/0.93 (define @t312 () (tptp.memberP @t257 @t241)) % 0.72/0.93 (define @t313 () (= @t312 @t311)) % 0.72/0.93 (define @t314 () (not @t38)) % 0.72/0.93 (define @t315 () (or @t248 @t261 @t314 @t313)) % 0.72/0.93 (define @t316 () (and @t258 @t245)) % 0.72/0.93 (define @t317 () (@list false false)) % 0.72/0.93 (define @t318 () (not @t309)) % 0.72/0.93 (define @t319 () (or @t248 @t318)) % 0.72/0.93 (define @t320 () (not @t310)) % 0.72/0.93 (define @t321 () (and @t255 @t310 @t275)) % 0.72/0.93 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.72/0.93 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.72/0.93 (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))))))))))) % 0.72/0.93 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.72/0.93 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.72/0.93 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.72/0.93 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.72/0.93 (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))))))))))))))))) % 0.72/0.93 (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)))))))))))))))) % 0.72/0.93 (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))))))))))))))))) % 0.72/0.93 (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))))))))))))))) % 0.72/0.93 (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))))))))))))))) % 0.72/0.93 (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)))))))))))))))) % 0.72/0.93 (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))))))))))))) % 0.72/0.93 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.72/0.93 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.72/0.93 (assume @p17 @t38) % 0.72/0.93 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.72/0.93 (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) @t39))))))))))) % 0.72/0.93 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.72/0.93 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.72/0.93 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.72/0.93 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.72/0.93 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.72/0.93 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.72/0.93 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.72/0.93 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.72/0.93 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.72/0.93 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.72/0.93 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.72/0.93 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.72/0.93 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.72/0.93 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.72/0.93 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.72/0.93 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.72/0.93 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.72/0.93 (assume @p37 @t60) % 0.72/0.93 (assume @p38 @t62) % 0.72/0.93 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.72/0.93 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.72/0.93 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.72/0.93 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.72/0.93 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.72/0.93 (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)))))))))))) % 0.72/0.93 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.72/0.93 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.72/0.93 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.72/0.93 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.72/0.93 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.72/0.93 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t63 @t1))))))))) % 0.72/0.93 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.72/0.93 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.72/0.93 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.72/0.93 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.72/0.93 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.72/0.93 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t63 @t10) @t1))))))))))) % 0.72/0.93 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.72/0.93 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 0.72/0.93 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t64)))) % 0.72/0.93 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.72/0.93 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t64)))) % 0.72/0.93 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.72/0.93 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t64)))) % 0.72/0.93 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.72/0.93 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t64)))) % 0.72/0.93 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.72/0.93 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t68) (or @t66 (and @t67 (tptp.totalorderedP @t1) (tptp.leq @t2 @t65))))))))) % 0.72/0.93 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t64)))) % 0.72/0.93 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.72/0.93 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t68) (or @t66 (and @t67 (tptp.strictorderedP @t1) (tptp.lt @t2 @t65))))))))) % 0.72/0.93 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t64)))) % 0.72/0.93 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.72/0.93 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t64)))) % 0.72/0.93 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.72/0.93 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 0.72/0.93 (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1))))))) % 0.72/0.93 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t67 @t43 (= @t65 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 0.72/0.93 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 0.72/0.93 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t69)))))))) % 0.72/0.93 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t46) @t69)))))))) % 0.72/0.93 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.72/0.93 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 0.72/0.93 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t66 @t41))))))) % 0.72/0.93 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.72/0.93 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 0.72/0.93 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 0.72/0.93 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 (tptp.geq @t1 @t2)) @t3)))))) % 0.72/0.93 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.72/0.93 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.72/0.93 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.72/0.93 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t35) @t52)))))))) % 0.72/0.93 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t48 (or @t3 @t51))))))) % 0.72/0.93 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t51 (and @t4 @t48))))))) % 0.72/0.93 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t53 (not (tptp.gt @t1 @t2)))))))) % 0.72/0.93 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> 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(step @p486 :rule true_elim :premises (@p485)) % 0.72/0.93 (step-pop @p564 :rule scope :premises (@p486)) % 0.72/0.93 (step-pop @p565 :rule scope :premises (@p564)) % 0.72/0.93 (step @p487 :rule process_scope :premises (@p565) :args (@t312)) % 0.72/0.93 (step @p490 :rule and_intro :premises (@p367 @p560)) % 0.72/0.93 (step @p491 :rule modus_ponens :premises (@p490 @p487)) % 0.72/0.93 (step-pop @p566 :rule scope :premises (@p491)) % 0.72/0.93 (step-pop @p567 :rule scope :premises (@p566)) % 0.72/0.93 (step @p492 :rule process_scope :premises (@p567) :args (@t312)) % 0.72/0.93 (step @p495 :rule implies_elim :premises (@p492)) % 0.72/0.93 (step @p496 :rule cnf_and_neg :args (@t316)) % 0.72/0.93 (step @p497 :rule resolution :premises (@p496 @p495) :args (true @t316)) % 0.72/0.93 (step @p498 :rule chain_m_resolution :premises (@p497 @p478 @p367) :args (@t312 @t317 (@list @t258 @t245))) % 0.72/0.93 (step @p499 :rule cnf_equiv_pos1 :args (@t313)) % 0.72/0.93 (step @p500 :rule reordering 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% 0.72/0.93 % cvc5 exiting %------------------------------------------------------------------------------