%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC039+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:57:48 AM UTC 2026 % Result : Theorem 0.37s 0.73s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC039+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 19:10:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.73 % SZS status Theorem % 0.37/0.73 % SZS output start Proof % 0.37/0.73 ( % 0.37/0.73 (declare-sort $$unsorted 0) % 0.37/0.73 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.73 (declare-const tptp.nil $$unsorted) % 0.37/0.73 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.73 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.73 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.73 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.73 (define @t3 () (= @t2 @t1)) % 0.37/0.73 (define @t4 () (not @t3)) % 0.37/0.73 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.73 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.73 (define @t7 () (@list @t1)) % 0.37/0.73 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.73 (define @t9 () (@list @t2)) % 0.37/0.73 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.73 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.73 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.73 (define @t13 () (tptp.ssList @t10)) % 0.37/0.73 (define @t14 () (@list @t10)) % 0.37/0.73 (define @t15 () (tptp.ssList @t12)) % 0.37/0.73 (define @t16 () (@list @t12)) % 0.37/0.73 (define @t17 () (tptp.ssList @t2)) % 0.37/0.73 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.73 (define @t19 () (tptp.app @t1 @t12)) % 0.37/0.73 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.37/0.73 (define @t21 () (tptp.ssList @t1)) % 0.37/0.73 (define @t22 () (tptp.app @t12 @t1)) % 0.37/0.73 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.37/0.73 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.37/0.73 (define @t25 () (tptp.leq @t12 @t1)) % 0.37/0.73 (define @t26 () (tptp.leq @t1 @t12)) % 0.37/0.73 (define @t27 () (@var "Z" $$unsorted)) % 0.37/0.73 (define @t28 () (@var "Y" $$unsorted)) % 0.37/0.73 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.37/0.73 (define @t30 () (tptp.ssList @t27)) % 0.37/0.73 (define @t31 () (@list @t27)) % 0.37/0.73 (define @t32 () (tptp.ssList @t28)) % 0.37/0.73 (define @t33 () (@list @t28)) % 0.37/0.73 (define @t34 () (tptp.ssItem @t12)) % 0.37/0.73 (define @t35 () (tptp.lt @t1 @t12)) % 0.37/0.73 (define @t36 () (= @t1 @t12)) % 0.37/0.73 (define @t37 () (tptp.cons @t1 @t2)) % 0.37/0.73 (define @t38 () (tptp.ssList tptp.nil)) % 0.37/0.73 (define @t39 () (= @t1 @t2)) % 0.37/0.73 (define @t40 () (tptp.cons @t12 @t1)) % 0.37/0.73 (define @t41 () (= tptp.nil @t2)) % 0.37/0.73 (define @t42 () (tptp.hd @t2)) % 0.37/0.73 (define @t43 () (not @t41)) % 0.37/0.73 (define @t44 () (tptp.tl @t2)) % 0.37/0.73 (define @t45 () (tptp.app @t2 @t1)) % 0.37/0.73 (define @t46 () (tptp.ssList @t45)) % 0.37/0.73 (define @t47 () (forall @t7 (=> @t21 @t46))) % 0.37/0.73 (define @t48 () (=> @t17 @t47)) % 0.37/0.73 (define @t49 () (forall @t9 @t48)) % 0.37/0.73 (define @t50 () (tptp.app @t1 @t2)) % 0.37/0.73 (define @t51 () (tptp.leq @t1 @t2)) % 0.37/0.73 (define @t52 () (tptp.leq @t2 @t1)) % 0.37/0.73 (define @t53 () (tptp.geq @t2 @t1)) % 0.37/0.73 (define @t54 () (tptp.lt @t1 @t2)) % 0.37/0.73 (define @t55 () (tptp.lt @t2 @t1)) % 0.37/0.73 (define @t56 () (tptp.lt @t2 @t12)) % 0.37/0.73 (define @t57 () (tptp.gt @t2 @t1)) % 0.37/0.73 (define @t58 () (tptp.memberP @t12 @t2)) % 0.37/0.73 (define @t59 () (tptp.app @t12 @t2)) % 0.37/0.73 (define @t60 () (tptp.cons @t2 tptp.nil)) % 0.37/0.73 (define @t61 () (tptp.hd @t1)) % 0.37/0.73 (define @t62 () (= tptp.nil @t1)) % 0.37/0.73 (define @t63 () (not @t62)) % 0.37/0.73 (define @t64 () (tptp.cons @t2 @t1)) % 0.37/0.73 (define @t65 () (= @t12 @t2)) % 0.37/0.73 (define @t66 () (and @t62 @t41)) % 0.37/0.73 (define @t67 () (= tptp.nil @t45)) % 0.37/0.73 (define @t68 () (= @t67 @t66)) % 0.37/0.73 (define @t69 () (=> @t21 @t68)) % 0.37/0.73 (define @t70 () (forall @t7 @t69)) % 0.37/0.73 (define @t71 () (=> @t17 @t70)) % 0.37/0.73 (define @t72 () (forall @t9 @t71)) % 0.37/0.73 (define @t73 () (not (= tptp.nil @t12))) % 0.37/0.73 (define @t74 () (not (= tptp.nil @t10))) % 0.37/0.73 (define @t75 () (or @t74 @t73)) % 0.37/0.73 (define @t76 () (@var "X3" $$unsorted)) % 0.37/0.73 (define @t77 () (tptp.lt @t76 @t28)) % 0.37/0.73 (define @t78 () (@var "X1" $$unsorted)) % 0.37/0.73 (define @t79 () (tptp.memberP @t78 @t76)) % 0.37/0.73 (define @t80 () (tptp.ssItem @t76)) % 0.37/0.73 (define @t81 () (and @t80 @t79 @t77)) % 0.37/0.73 (define @t82 () (@list @t76)) % 0.37/0.73 (define @t83 () (exists @t82 @t81)) % 0.37/0.73 (define @t84 () (@var "X2" $$unsorted)) % 0.37/0.73 (define @t85 () (tptp.lt @t28 @t84)) % 0.37/0.73 (define @t86 () (tptp.memberP @t27 @t84)) % 0.37/0.73 (define @t87 () (tptp.ssItem @t84)) % 0.37/0.73 (define @t88 () (and @t87 @t86 @t85)) % 0.37/0.73 (define @t89 () (@list @t84)) % 0.37/0.73 (define @t90 () (exists @t89 @t88)) % 0.37/0.73 (define @t91 () (tptp.app @t27 @t12)) % 0.37/0.73 (define @t92 () (tptp.app @t91 @t78)) % 0.37/0.73 (define @t93 () (not (= @t92 @t10))) % 0.37/0.73 (define @t94 () (tptp.cons @t28 tptp.nil)) % 0.37/0.73 (define @t95 () (not (= @t94 @t12))) % 0.37/0.73 (define @t96 () (or @t95 @t93 @t90 @t83)) % 0.37/0.73 (define @t97 () (tptp.ssList @t78)) % 0.37/0.73 (define @t98 () (=> @t97 @t96)) % 0.37/0.73 (define @t99 () (@list @t78)) % 0.37/0.73 (define @t100 () (forall @t99 @t98)) % 0.37/0.73 (define @t101 () (=> @t30 @t100)) % 0.37/0.73 (define @t102 () (forall @t31 @t101)) % 0.37/0.73 (define @t103 () (tptp.ssItem @t28)) % 0.37/0.73 (define @t104 () (=> @t103 @t102)) % 0.37/0.73 (define @t105 () (forall @t33 @t104)) % 0.37/0.73 (define @t106 () (and @t105 @t75)) % 0.37/0.73 (define @t107 () (not (= @t2 @t12))) % 0.37/0.73 (define @t108 () (not (= @t1 @t10))) % 0.37/0.73 (define @t109 () (or @t63 @t108 @t107 @t41 @t106)) % 0.37/0.73 (define @t110 () (=> @t13 @t109)) % 0.37/0.73 (define @t111 () (forall @t14 @t110)) % 0.37/0.73 (define @t112 () (=> @t15 @t111)) % 0.37/0.73 (define @t113 () (forall @t16 @t112)) % 0.37/0.73 (define @t114 () (=> @t21 @t113)) % 0.37/0.73 (define @t115 () (forall @t7 @t114)) % 0.37/0.73 (define @t116 () (=> @t17 @t115)) % 0.37/0.73 (define @t117 () (forall @t9 @t116)) % 0.37/0.73 (define @t118 () (not @t117)) % 0.37/0.73 (define @t119 () (= @t2 tptp.nil)) % 0.37/0.73 (define @t120 () (@var "BOUND_VARIABLE_10618" $$unsorted)) % 0.37/0.73 (define @t121 () (and (= @t120 tptp.nil) @t119)) % 0.37/0.73 (define @t122 () (= tptp.nil (tptp.app @t2 @t120))) % 0.37/0.73 (define @t123 () (= @t122 @t121)) % 0.37/0.73 (define @t124 () (not (tptp.ssList @t120))) % 0.37/0.73 (define @t125 () (not @t17)) % 0.37/0.73 (define @t126 () (or @t125 @t124 @t123)) % 0.37/0.73 (define @t127 () (or @t124 @t123)) % 0.37/0.73 (define @t128 () (or @t125 @t127)) % 0.37/0.73 (define @t129 () (@list @t2 @t120)) % 0.37/0.73 (define @t130 () (forall @t129 @t128)) % 0.37/0.73 (define @t131 () (@list @t120)) % 0.37/0.73 (define @t132 () (forall @t131 @t128)) % 0.37/0.73 (define @t133 () (forall @t131 @t127)) % 0.37/0.73 (define @t134 () (@list @t1)) % 0.37/0.73 (define @t135 () (or @t125 @t133)) % 0.37/0.73 (define @t136 () (= @t1 tptp.nil)) % 0.37/0.73 (define @t137 () (= @t67 (and @t136 @t119))) % 0.37/0.73 (define @t138 () (not @t21)) % 0.37/0.73 (define @t139 () (forall @t7 (or @t138 @t137))) % 0.37/0.73 (define @t140 () (not @t119)) % 0.37/0.73 (define @t141 () (@var "BOUND_VARIABLE_11375" $$unsorted)) % 0.37/0.73 (define @t142 () (@var "BOUND_VARIABLE_11379" $$unsorted)) % 0.37/0.73 (define @t143 () (not @t80)) % 0.37/0.73 (define @t144 () (@var "BOUND_VARIABLE_11377" $$unsorted)) % 0.37/0.73 (define @t145 () (not @t87)) % 0.37/0.73 (define @t146 () (or (not (tptp.ssItem @t141)) (not (= @t2 (tptp.cons @t141 tptp.nil))) (not (tptp.ssList @t144)) (not (forall @t89 (or @t145 (not (tptp.memberP @t144 @t84)) (not (tptp.lt @t141 @t84))))) (not (tptp.ssList @t142)) (not (= tptp.nil (tptp.app (tptp.app @t144 @t2) @t142))) (not (forall @t82 (or @t143 (not (tptp.memberP @t142 @t76)) (not (tptp.lt @t76 @t141))))))) % 0.37/0.73 (define @t147 () (and @t146 @t140)) % 0.37/0.73 (define @t148 () (or @t125 @t119 @t147)) % 0.37/0.73 (define @t149 () (forall (@list @t2 @t141 @t144 @t142) @t148)) % 0.37/0.73 (define @t150 () (@quantifiers_skolemize @t149 2)) % 0.37/0.73 (define @t151 () (@quantifiers_skolemize @t149 0)) % 0.37/0.73 (define @t152 () (= tptp.nil @t151)) % 0.37/0.73 (define @t153 () (and @t152 (= @t150 tptp.nil))) % 0.37/0.73 (define @t154 () (tptp.app @t150 @t151)) % 0.37/0.73 (define @t155 () (= tptp.nil @t154)) % 0.37/0.73 (define @t156 () (= @t155 @t153)) % 0.37/0.73 (define @t157 () (tptp.ssList @t151)) % 0.37/0.73 (define @t158 () (not @t157)) % 0.37/0.73 (define @t159 () (tptp.ssList @t150)) % 0.37/0.73 (define @t160 () (not @t159)) % 0.37/0.73 (define @t161 () (or @t160 @t158 @t156)) % 0.37/0.73 (define @t162 () (forall @t129 (or @t125 @t124 (= @t122 (and (= tptp.nil @t120) @t119))))) % 0.37/0.73 (define @t163 () (@list @t150 @t151)) % 0.37/0.73 (define @t164 () (and @t152 (= tptp.nil @t150))) % 0.37/0.73 (define @t165 () (= @t155 @t164)) % 0.37/0.73 (define @t166 () (or @t160 @t158 @t165)) % 0.37/0.73 (define @t167 () (@list false)) % 0.37/0.73 (define @t168 () (@list @t162)) % 0.37/0.73 (define @t169 () (@list @t141 @t144 @t142)) % 0.37/0.73 (define @t170 () (forall @t169 @t148)) % 0.37/0.73 (define @t171 () (forall @t169 @t140)) % 0.37/0.73 (define @t172 () (forall @t169 @t146)) % 0.37/0.73 (define @t173 () (@var "BOUND_VARIABLE_11326" $$unsorted)) % 0.37/0.73 (define @t174 () (@var "BOUND_VARIABLE_11324" $$unsorted)) % 0.37/0.73 (define @t175 () (@var "BOUND_VARIABLE_11322" $$unsorted)) % 0.37/0.73 (define @t176 () (@list @t175 @t174 @t173)) % 0.37/0.73 (define @t177 () (and @t172 @t171)) % 0.37/0.73 (define @t178 () (forall @t169 @t147)) % 0.37/0.73 (define @t179 () (or @t125 @t119 @t178)) % 0.37/0.73 (define @t180 () (and (forall (@list @t175 @t174 @t173) (or (not (tptp.ssItem @t175)) (not (= @t2 (tptp.cons @t175 tptp.nil))) (not (tptp.ssList @t174)) (not (forall @t89 (or @t145 (not (tptp.memberP @t174 @t84)) (not (tptp.lt @t175 @t84))))) (not (tptp.ssList @t173)) (not (= tptp.nil (tptp.app (tptp.app @t174 @t2) @t173))) (not (forall @t82 (or @t143 (not (tptp.memberP @t173 @t76)) (not (tptp.lt @t76 @t175))))))) @t140)) % 0.37/0.73 (define @t181 () (or @t125 @t119 @t180)) % 0.37/0.73 (define @t182 () (forall @t9 @t181)) % 0.37/0.73 (define @t183 () (not @t38)) % 0.37/0.73 (define @t184 () (or @t183 @t182)) % 0.37/0.73 (define @t185 () (or @t183 @t181)) % 0.37/0.73 (define @t186 () (or @t125 @t119 @t183 @t180)) % 0.37/0.73 (define @t187 () (or @t119 @t125 @t183 @t180)) % 0.37/0.73 (define @t188 () (@var "BOUND_VARIABLE_11270" $$unsorted)) % 0.37/0.73 (define @t189 () (@var "BOUND_VARIABLE_11268" $$unsorted)) % 0.37/0.73 (define @t190 () (@var "BOUND_VARIABLE_11266" $$unsorted)) % 0.37/0.73 (define @t191 () (@list @t190 @t189 @t188)) % 0.37/0.73 (define @t192 () (forall @t191 @t140)) % 0.37/0.73 (define @t193 () (not (forall @t82 (or @t143 (not (tptp.memberP @t188 @t76)) (not (tptp.lt @t76 @t190)))))) % 0.37/0.73 (define @t194 () (tptp.app (tptp.app @t189 @t2) @t188)) % 0.37/0.73 (define @t195 () (not (tptp.ssList @t188))) % 0.37/0.73 (define @t196 () (not (forall @t89 (or @t145 (not (tptp.memberP @t189 @t84)) (not (tptp.lt @t190 @t84)))))) % 0.37/0.73 (define @t197 () (not (tptp.ssList @t189))) % 0.37/0.73 (define @t198 () (not (= @t2 (tptp.cons @t190 tptp.nil)))) % 0.37/0.73 (define @t199 () (not (tptp.ssItem @t190))) % 0.37/0.73 (define @t200 () (or @t199 @t198 @t197 @t196 @t195 (not (= tptp.nil @t194)) @t193)) % 0.37/0.73 (define @t201 () (forall @t191 @t200)) % 0.37/0.73 (define @t202 () (@list @t190 @t189 @t188)) % 0.37/0.73 (define @t203 () (and @t201 @t192)) % 0.37/0.73 (define @t204 () (and @t200 @t140)) % 0.37/0.73 (define @t205 () (forall @t191 @t204)) % 0.37/0.73 (define @t206 () (or @t183 @t205)) % 0.37/0.73 (define @t207 () (or @t183 @t204)) % 0.37/0.73 (define @t208 () (not (= tptp.nil tptp.nil))) % 0.37/0.73 (define @t209 () (or @t208 @t140)) % 0.37/0.73 (define @t210 () (and @t200 @t209)) % 0.37/0.73 (define @t211 () (or @t183 @t208 @t210)) % 0.37/0.73 (define @t212 () (not @t136)) % 0.37/0.73 (define @t213 () (or @t212 @t140)) % 0.37/0.73 (define @t214 () (or @t199 @t198 @t197 @t196 @t195 (not (= @t1 @t194)) @t193)) % 0.37/0.73 (define @t215 () (and @t214 @t213)) % 0.37/0.73 (define @t216 () (or @t212 @t138 @t212 @t215)) % 0.37/0.73 (define @t217 () (or @t138 @t212 @t215)) % 0.37/0.73 (define @t218 () (forall @t7 @t217)) % 0.37/0.73 (define @t219 () (forall @t191 @t218)) % 0.37/0.73 (define @t220 () (forall (@list @t190 @t189 @t188 @t1) @t217)) % 0.37/0.73 (define @t221 () (forall (@list @t1 @t190 @t189 @t188) @t217)) % 0.37/0.73 (define @t222 () (forall @t191 @t217)) % 0.37/0.73 (define @t223 () (forall @t191 @t213)) % 0.37/0.73 (define @t224 () (forall @t191 @t214)) % 0.37/0.73 (define @t225 () (@var "BOUND_VARIABLE_11217" $$unsorted)) % 0.37/0.73 (define @t226 () (@var "BOUND_VARIABLE_11215" $$unsorted)) % 0.37/0.73 (define @t227 () (@var "BOUND_VARIABLE_11213" $$unsorted)) % 0.37/0.73 (define @t228 () (@list @t227 @t226 @t225)) % 0.37/0.73 (define @t229 () (and @t224 @t223)) % 0.37/0.73 (define @t230 () (forall @t191 @t215)) % 0.37/0.73 (define @t231 () (or @t138 @t212 @t230)) % 0.37/0.73 (define @t232 () (and (forall (@list @t227 @t226 @t225) (or (not (tptp.ssItem @t227)) (not (= @t2 (tptp.cons @t227 tptp.nil))) (not (tptp.ssList @t226)) (not (forall @t89 (or @t145 (not (tptp.memberP @t226 @t84)) (not (tptp.lt @t227 @t84))))) (not (tptp.ssList @t225)) (not (= @t1 (tptp.app (tptp.app @t226 @t2) @t225))) (not (forall @t82 (or @t143 (not (tptp.memberP @t225 @t76)) (not (tptp.lt @t76 @t227))))))) @t213)) % 0.37/0.73 (define @t233 () (or @t138 @t212 @t232)) % 0.37/0.73 (define @t234 () (forall @t7 @t233)) % 0.37/0.73 (define @t235 () (or @t119 @t125 @t234)) % 0.37/0.73 (define @t236 () (or @t119 @t125 @t233)) % 0.37/0.73 (define @t237 () (or @t138 @t212 @t119 @t125 @t232)) % 0.37/0.73 (define @t238 () (or @t212 @t119 @t138 @t125 @t232)) % 0.37/0.73 (define @t239 () (@var "BOUND_VARIABLE_11160" $$unsorted)) % 0.37/0.73 (define @t240 () (@var "BOUND_VARIABLE_11158" $$unsorted)) % 0.37/0.73 (define @t241 () (@var "BOUND_VARIABLE_11156" $$unsorted)) % 0.37/0.73 (define @t242 () (@list @t241 @t240 @t239)) % 0.37/0.73 (define @t243 () (forall @t242 @t213)) % 0.37/0.73 (define @t244 () (not (forall @t82 (or @t143 (not (tptp.memberP @t239 @t76)) (not (tptp.lt @t76 @t241)))))) % 0.37/0.73 (define @t245 () (not (tptp.ssList @t239))) % 0.37/0.73 (define @t246 () (not (forall @t89 (or @t145 (not (tptp.memberP @t240 @t84)) (not (tptp.lt @t241 @t84)))))) % 0.37/0.73 (define @t247 () (not (tptp.ssList @t240))) % 0.37/0.73 (define @t248 () (tptp.cons @t241 tptp.nil)) % 0.37/0.73 (define @t249 () (not (tptp.ssItem @t241))) % 0.37/0.73 (define @t250 () (or @t249 (not (= @t2 @t248)) @t247 @t246 @t245 (not (= @t1 (tptp.app (tptp.app @t240 @t2) @t239))) @t244)) % 0.37/0.73 (define @t251 () (forall @t242 @t250)) % 0.37/0.73 (define @t252 () (@list @t241 @t240 @t239)) % 0.37/0.73 (define @t253 () (and @t251 @t243)) % 0.37/0.73 (define @t254 () (and @t250 @t213)) % 0.37/0.73 (define @t255 () (forall @t242 @t254)) % 0.37/0.73 (define @t256 () (or @t125 @t255)) % 0.37/0.73 (define @t257 () (or @t125 @t254)) % 0.37/0.73 (define @t258 () (not (= @t2 @t2))) % 0.37/0.73 (define @t259 () (or @t125 @t258 @t254)) % 0.37/0.73 (define @t260 () (not (= @t12 tptp.nil))) % 0.37/0.73 (define @t261 () (or @t212 @t260)) % 0.37/0.73 (define @t262 () (or @t249 (not (= @t12 @t248)) @t247 @t246 @t245 (not (= @t1 (tptp.app (tptp.app @t240 @t12) @t239))) @t244)) % 0.37/0.73 (define @t263 () (and @t262 @t261)) % 0.37/0.73 (define @t264 () (not @t15)) % 0.37/0.73 (define @t265 () (or @t107 @t264 @t107 @t263)) % 0.37/0.73 (define @t266 () (or @t264 @t107 @t263)) % 0.37/0.73 (define @t267 () (forall @t16 @t266)) % 0.37/0.73 (define @t268 () (forall @t242 @t267)) % 0.37/0.73 (define @t269 () (forall (@list @t241 @t240 @t239 @t12) @t266)) % 0.37/0.73 (define @t270 () (forall (@list @t12 @t241 @t240 @t239) @t266)) % 0.37/0.73 (define @t271 () (forall @t242 @t266)) % 0.37/0.73 (define @t272 () (forall @t242 @t261)) % 0.37/0.73 (define @t273 () (forall @t242 @t262)) % 0.37/0.73 (define @t274 () (@var "BOUND_VARIABLE_11107" $$unsorted)) % 0.37/0.73 (define @t275 () (@var "BOUND_VARIABLE_11105" $$unsorted)) % 0.37/0.73 (define @t276 () (@var "BOUND_VARIABLE_11103" $$unsorted)) % 0.37/0.73 (define @t277 () (@list @t276 @t275 @t274)) % 0.37/0.73 (define @t278 () (and @t273 @t272)) % 0.37/0.73 (define @t279 () (forall @t242 @t263)) % 0.37/0.73 (define @t280 () (or @t264 @t107 @t279)) % 0.37/0.73 (define @t281 () (and (forall (@list @t276 @t275 @t274) (or (not (tptp.ssItem @t276)) (not (= @t12 (tptp.cons @t276 tptp.nil))) (not (tptp.ssList @t275)) (not (forall @t89 (or @t145 (not (tptp.memberP @t275 @t84)) (not (tptp.lt @t276 @t84))))) (not (tptp.ssList @t274)) (not (= @t1 (tptp.app (tptp.app @t275 @t12) @t274))) (not (forall @t82 (or @t143 (not (tptp.memberP @t274 @t76)) (not (tptp.lt @t76 @t276))))))) @t261)) % 0.37/0.73 (define @t282 () (or @t264 @t107 @t281)) % 0.37/0.73 (define @t283 () (forall @t16 @t282)) % 0.37/0.73 (define @t284 () (or @t212 @t119 @t138 @t283)) % 0.37/0.73 (define @t285 () (or @t212 @t119 @t138 @t282)) % 0.37/0.73 (define @t286 () (or @t264 @t212 @t107 @t119 @t138 @t281)) % 0.37/0.73 (define @t287 () (or @t212 @t107 @t119 @t138 @t281)) % 0.37/0.73 (define @t288 () (@var "BOUND_VARIABLE_11056" $$unsorted)) % 0.37/0.73 (define @t289 () (@var "BOUND_VARIABLE_11054" $$unsorted)) % 0.37/0.73 (define @t290 () (@var "BOUND_VARIABLE_11052" $$unsorted)) % 0.37/0.73 (define @t291 () (@list @t290 @t289 @t288)) % 0.37/0.73 (define @t292 () (forall @t291 @t261)) % 0.37/0.73 (define @t293 () (not (forall @t82 (or @t143 (not (tptp.memberP @t288 @t76)) (not (tptp.lt @t76 @t290)))))) % 0.37/0.73 (define @t294 () (tptp.app (tptp.app @t289 @t12) @t288)) % 0.37/0.73 (define @t295 () (not (tptp.ssList @t288))) % 0.37/0.73 (define @t296 () (not (forall @t89 (or @t145 (not (tptp.memberP @t289 @t84)) (not (tptp.lt @t290 @t84)))))) % 0.37/0.73 (define @t297 () (not (tptp.ssList @t289))) % 0.37/0.73 (define @t298 () (not (= @t12 (tptp.cons @t290 tptp.nil)))) % 0.37/0.73 (define @t299 () (not (tptp.ssItem @t290))) % 0.37/0.73 (define @t300 () (or @t299 @t298 @t297 @t296 @t295 (not (= @t1 @t294)) @t293)) % 0.37/0.73 (define @t301 () (forall @t291 @t300)) % 0.37/0.73 (define @t302 () (@list @t290 @t289 @t288)) % 0.37/0.73 (define @t303 () (and @t301 @t292)) % 0.37/0.73 (define @t304 () (and @t300 @t261)) % 0.37/0.73 (define @t305 () (forall @t291 @t304)) % 0.37/0.73 (define @t306 () (or @t138 @t305)) % 0.37/0.73 (define @t307 () (or @t138 @t304)) % 0.37/0.73 (define @t308 () (not (= @t1 @t1))) % 0.37/0.73 (define @t309 () (or @t138 @t308 @t304)) % 0.37/0.73 (define @t310 () (or (not (= @t10 tptp.nil)) @t260)) % 0.37/0.73 (define @t311 () (or @t299 @t298 @t297 @t296 @t295 (not (= @t10 @t294)) @t293)) % 0.37/0.73 (define @t312 () (and @t311 @t310)) % 0.37/0.73 (define @t313 () (not @t13)) % 0.37/0.73 (define @t314 () (or @t108 @t313 @t108 @t312)) % 0.37/0.73 (define @t315 () (or @t313 @t108 @t312)) % 0.37/0.73 (define @t316 () (forall @t14 @t315)) % 0.37/0.73 (define @t317 () (forall @t291 @t316)) % 0.37/0.73 (define @t318 () (forall (@list @t290 @t289 @t288 @t10) @t315)) % 0.37/0.73 (define @t319 () (forall (@list @t10 @t290 @t289 @t288) @t315)) % 0.37/0.73 (define @t320 () (forall @t291 @t315)) % 0.37/0.73 (define @t321 () (forall @t291 @t310)) % 0.37/0.73 (define @t322 () (forall @t291 @t311)) % 0.37/0.73 (define @t323 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 0.37/0.73 (define @t324 () (@var "BOUND_VARIABLE_11010" $$unsorted)) % 0.37/0.73 (define @t325 () (and @t322 @t321)) % 0.37/0.73 (define @t326 () (forall @t291 @t312)) % 0.37/0.73 (define @t327 () (or @t313 @t108 @t326)) % 0.37/0.73 (define @t328 () (not @t77)) % 0.37/0.73 (define @t329 () (not (forall @t82 (or @t143 (not (tptp.memberP @t323 @t76)) @t328)))) % 0.37/0.73 (define @t330 () (not (= @t10 (tptp.app (tptp.app @t324 @t12) @t323)))) % 0.37/0.73 (define @t331 () (not (tptp.ssList @t323))) % 0.37/0.73 (define @t332 () (not @t85)) % 0.37/0.73 (define @t333 () (not (forall @t89 (or @t145 (not (tptp.memberP @t324 @t84)) @t332)))) % 0.37/0.73 (define @t334 () (not (tptp.ssList @t324))) % 0.37/0.73 (define @t335 () (not (= @t12 @t94))) % 0.37/0.73 (define @t336 () (not @t103)) % 0.37/0.73 (define @t337 () (or @t336 @t335 @t334 @t333 @t331 @t330 @t329)) % 0.37/0.73 (define @t338 () (@list @t28 @t324 @t323)) % 0.37/0.73 (define @t339 () (and (forall @t338 @t337) @t310)) % 0.37/0.73 (define @t340 () (or @t313 @t108 @t339)) % 0.37/0.73 (define @t341 () (forall @t14 @t340)) % 0.37/0.73 (define @t342 () (or @t212 @t107 @t119 @t341)) % 0.37/0.73 (define @t343 () (or @t212 @t107 @t119 @t340)) % 0.37/0.73 (define @t344 () (or @t313 @t212 @t108 @t107 @t119 @t339)) % 0.37/0.73 (define @t345 () (or @t212 @t108 @t107 @t119 @t339)) % 0.37/0.73 (define @t346 () (or @t334 @t333 @t331 @t330 @t329)) % 0.37/0.73 (define @t347 () (or @t336 @t335 @t346)) % 0.37/0.73 (define @t348 () (forall @t338 @t347)) % 0.37/0.73 (define @t349 () (@list @t324 @t323)) % 0.37/0.73 (define @t350 () (forall @t349 @t347)) % 0.37/0.73 (define @t351 () (forall @t349 @t346)) % 0.37/0.73 (define @t352 () (@var "BOUND_VARIABLE_10986" $$unsorted)) % 0.37/0.73 (define @t353 () (or @t336 @t335 @t351)) % 0.37/0.73 (define @t354 () (not (forall @t82 (or @t143 (not (tptp.memberP @t352 @t76)) @t328)))) % 0.37/0.73 (define @t355 () (not (= @t10 (tptp.app @t91 @t352)))) % 0.37/0.73 (define @t356 () (not (tptp.ssList @t352))) % 0.37/0.73 (define @t357 () (not @t86)) % 0.37/0.73 (define @t358 () (or @t145 @t357 @t332)) % 0.37/0.73 (define @t359 () (not (forall @t89 @t358))) % 0.37/0.73 (define @t360 () (not @t30)) % 0.37/0.73 (define @t361 () (or @t360 @t359 @t356 @t355 @t354)) % 0.37/0.73 (define @t362 () (@list @t27 @t352)) % 0.37/0.73 (define @t363 () (forall @t362 @t361)) % 0.37/0.73 (define @t364 () (or @t336 @t335 @t363)) % 0.37/0.73 (define @t365 () (or @t335 @t363)) % 0.37/0.73 (define @t366 () (or @t356 @t355 @t354)) % 0.37/0.73 (define @t367 () (or @t360 @t359 @t366)) % 0.37/0.73 (define @t368 () (forall @t362 @t367)) % 0.37/0.73 (define @t369 () (@list @t352)) % 0.37/0.73 (define @t370 () (forall @t369 @t367)) % 0.37/0.73 (define @t371 () (forall @t369 @t366)) % 0.37/0.73 (define @t372 () (or @t360 @t359 @t371)) % 0.37/0.73 (define @t373 () (not @t79)) % 0.37/0.73 (define @t374 () (or @t143 @t373 @t328)) % 0.37/0.73 (define @t375 () (not (forall @t82 @t374))) % 0.37/0.73 (define @t376 () (not (= @t10 @t92))) % 0.37/0.73 (define @t377 () (not @t97)) % 0.37/0.73 (define @t378 () (or @t377 @t376 @t375)) % 0.37/0.73 (define @t379 () (forall @t99 @t378)) % 0.37/0.73 (define @t380 () (or @t360 @t359 @t379)) % 0.37/0.73 (define @t381 () (forall @t31 @t380)) % 0.37/0.73 (define @t382 () (or @t335 @t381)) % 0.37/0.73 (define @t383 () (or @t335 @t380)) % 0.37/0.73 (define @t384 () (or @t360 @t335 @t359 @t379)) % 0.37/0.73 (define @t385 () (or @t335 @t359 @t379)) % 0.37/0.73 (define @t386 () (or @t335 @t359 @t378)) % 0.37/0.73 (define @t387 () (or @t377 @t335 @t376 @t359 @t375)) % 0.37/0.73 (define @t388 () (or @t335 @t376 @t359 @t375)) % 0.37/0.73 (define @t389 () (forall @t82 (not @t81))) % 0.37/0.73 (define @t390 () (not @t389)) % 0.37/0.73 (define @t391 () (forall @t89 (not @t88))) % 0.37/0.73 (define @t392 () (not @t391)) % 0.37/0.73 (define @t393 () (not @t152)) % 0.37/0.73 (define @t394 () (@quantifiers_skolemize @t149 1)) % 0.37/0.73 (define @t395 () (@quantifiers_skolemize @t149 3)) % 0.37/0.73 (define @t396 () (= tptp.nil (tptp.app @t154 @t395))) % 0.37/0.73 (define @t397 () (not @t396)) % 0.37/0.73 (define @t398 () (tptp.ssList @t395)) % 0.37/0.73 (define @t399 () (not @t398)) % 0.37/0.73 (define @t400 () (or (not (tptp.ssItem @t394)) (not (= @t151 (tptp.cons @t394 tptp.nil))) @t160 (not (forall @t89 (or @t145 (not (tptp.memberP @t150 @t84)) (not (tptp.lt @t394 @t84))))) @t399 @t397 (not (forall @t82 (or @t143 (not (tptp.memberP @t395 @t76)) (not (tptp.lt @t76 @t394))))))) % 0.37/0.73 (define @t401 () (and @t400 @t393)) % 0.37/0.73 (define @t402 () (or @t158 @t152 @t401)) % 0.37/0.73 (define @t403 () (not @t402)) % 0.37/0.73 (define @t404 () (not @t149)) % 0.37/0.73 (define @t405 () (= @t151 tptp.nil)) % 0.37/0.73 (define @t406 () (not @t405)) % 0.37/0.73 (define @t407 () (and @t400 @t406)) % 0.37/0.73 (define @t408 () (or @t158 @t405 @t407)) % 0.37/0.73 (define @t409 () (not @t408)) % 0.37/0.73 (define @t410 () (@list true)) % 0.37/0.73 (define @t411 () (@list @t402)) % 0.37/0.73 (define @t412 () (not @t400)) % 0.37/0.73 (define @t413 () (@list @t400)) % 0.37/0.73 (define @t414 () (@list false false false)) % 0.37/0.73 (define @t415 () (not @t164)) % 0.37/0.73 (define @t416 () (not @t155)) % 0.37/0.73 (define @t417 () (= tptp.nil @t395)) % 0.37/0.73 (define @t418 () (and @t417 (= @t154 tptp.nil))) % 0.37/0.73 (define @t419 () (= @t396 @t418)) % 0.37/0.73 (define @t420 () (tptp.ssList @t154)) % 0.37/0.73 (define @t421 () (not @t420)) % 0.37/0.73 (define @t422 () (or @t421 @t399 @t419)) % 0.37/0.73 (define @t423 () (and @t417 @t155)) % 0.37/0.73 (define @t424 () (= @t396 @t423)) % 0.37/0.73 (define @t425 () (or @t421 @t399 @t424)) % 0.37/0.73 (define @t426 () (@var "BOUND_VARIABLE_9390" $$unsorted)) % 0.37/0.73 (define @t427 () (tptp.ssList (tptp.app @t2 @t426))) % 0.37/0.73 (define @t428 () (not (tptp.ssList @t426))) % 0.37/0.73 (define @t429 () (or @t428 @t427)) % 0.37/0.73 (define @t430 () (or @t125 @t429)) % 0.37/0.73 (define @t431 () (forall (@list @t2 @t426) @t430)) % 0.37/0.73 (define @t432 () (@list @t426)) % 0.37/0.73 (define @t433 () (forall @t432 @t430)) % 0.37/0.73 (define @t434 () (forall @t432 @t429)) % 0.37/0.73 (define @t435 () (or @t125 @t434)) % 0.37/0.73 (define @t436 () (forall @t7 (or @t138 @t46))) % 0.37/0.73 (define @t437 () (or @t160 @t158 @t420)) % 0.37/0.73 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.73 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.73 (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))))))))))) % 0.37/0.73 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.73 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.37/0.73 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.37/0.73 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.37/0.73 (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))))))))))))))))) % 0.37/0.73 (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)))))))))))))))) % 0.37/0.73 (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))))))))))))))))) % 0.37/0.73 (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))))))))))))))) % 0.37/0.73 (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))))))))))))))) % 0.37/0.73 (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)))))))))))))))) % 0.37/0.73 (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))))))))))))) % 0.37/0.73 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.37/0.73 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.37/0.73 (assume @p17 @t38) % 0.37/0.73 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.37/0.73 (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) @t39))))))))))) % 0.37/0.73 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.37/0.73 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.37/0.73 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.37/0.73 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.37/0.73 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.37/0.73 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.37/0.73 (assume @p26 @t49) % 0.37/0.73 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t40 @t2))))))))) % 0.37/0.73 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.73 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 0.37/0.73 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12))))))))) % 0.37/0.73 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.73 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 0.37/0.73 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 0.37/0.73 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t56)))))))) % 0.37/0.73 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 0.37/0.73 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t58))))))))) % 0.37/0.73 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 0.37/0.73 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.37/0.73 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.37/0.73 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.37/0.73 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.37/0.73 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.37/0.73 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.37/0.73 (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)))))))))))) % 0.37/0.73 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.73 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.37/0.73 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.37/0.73 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.37/0.73 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.37/0.73 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t59 @t1))))))))) % 0.37/0.73 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.73 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.37/0.73 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.37/0.73 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.37/0.73 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.37/0.73 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t59 @t10) @t1))))))))))) % 0.37/0.73 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.73 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 0.37/0.73 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t60)))) % 0.37/0.73 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.37/0.73 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t60)))) % 0.37/0.73 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.37/0.73 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t60)))) % 0.37/0.73 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.37/0.73 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t60)))) % 0.37/0.73 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.37/0.73 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t64) (or @t62 (and @t63 (tptp.totalorderedP @t1) (tptp.leq @t2 @t61))))))))) % 0.37/0.73 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t60)))) % 0.37/0.73 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.37/0.73 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t64) (or @t62 (and @t63 (tptp.strictorderedP @t1) (tptp.lt @t2 @t61))))))))) % 0.37/0.73 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t60)))) % 0.37/0.73 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.73 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t60)))) % 0.37/0.73 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.37/0.73 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 0.37/0.73 (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1))))))) % 0.37/0.73 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t63 @t43 (= @t61 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 0.37/0.73 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 0.37/0.73 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t65)))))))) % 0.37/0.73 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t65)))))))) % 0.37/0.73 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.37/0.73 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 0.37/0.73 (assume @p83 @t72) % 0.37/0.73 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.73 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 0.37/0.73 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 0.37/0.73 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 (tptp.geq @t1 @t2)) @t3)))))) % 0.37/0.73 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.37/0.73 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.37/0.73 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.37/0.73 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t56)))))))) % 0.37/0.73 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (or @t3 @t55))))))) % 0.37/0.73 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 (and @t4 @t52))))))) % 0.37/0.73 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.73 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.73 (assume @p96 @t118) % 0.37/0.73 (assume @p97 true) % 0.37/0.73 (step @p98 :rule refl :args (@t119)) % 0.37/0.73 (step @p99 :rule eq-symm :args (@t120 tptp.nil)) % 0.37/0.73 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t121)) % 0.37/0.73 (step @p101 :rule refl :args (@t122)) % 0.37/0.73 (step @p102 :rule cong :premises (@p101 @p100) :args (@t123)) % 0.37/0.73 (step @p103 :rule refl :args (@t124)) % 0.37/0.73 (step @p104 :rule refl :args (@t125)) % 0.37/0.73 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args (@t126)) % 0.37/0.73 (step @p106 :rule aci_norm :args ((= @t128 @t126))) % 0.37/0.73 (step @p107 :rule trans :premises (@p106 @p105)) % 0.37/0.73 (step @p108 :rule cong :premises (@p107) :args (@t130)) % 0.37/0.73 (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t132) @t130))) % 0.37/0.73 (step @p110 :rule alpha_equiv :args (@t133 (@list @t120) @t134)) % 0.37/0.73 (step @p111 :rule refl :args (@t125)) % 0.37/0.73 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t135)) % 0.37/0.73 (step @p113 :rule quant-miniscope-or :args ((= @t132 @t135))) % 0.37/0.73 (step @p114 :rule trans :premises (@p113 @p112)) % 0.37/0.73 (step @p115 :rule symm :premises (@p114)) % 0.37/0.73 (step @p116 :rule cong :premises (@p115) :args ((forall @t9 (or @t125 @t139)))) % 0.37/0.73 (step @p117 :rule trans :premises (@p116 @p109)) % 0.37/0.73 (step @p118 :rule trans :premises (@p117 @p108)) % 0.37/0.73 (step @p119 :rule bool-impl-elim :args (@t17 @t139)) % 0.37/0.73 (step @p120 :rule cong :premises (@p119) :args ((forall @t9 (=> @t17 @t139)))) % 0.37/0.73 (step @p121 :rule trans :premises (@p120 @p118)) % 0.37/0.73 (step @p122 :rule bool-impl-elim :args (@t21 @t137)) % 0.37/0.73 (step @p123 :rule cong :premises (@p122) :args ((forall @t7 (=> @t21 @t137)))) % 0.37/0.73 (step @p124 :rule eq-symm :args (tptp.nil @t2)) % 0.37/0.73 (step @p125 :rule eq-symm :args (tptp.nil @t1)) % 0.37/0.73 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t66)) % 0.37/0.73 (step @p127 :rule refl :args (@t67)) % 0.37/0.73 (step @p128 :rule cong :premises (@p127 @p126) :args (@t68)) % 0.37/0.73 (step @p129 :rule refl :args (@t21)) % 0.37/0.73 (step @p130 :rule cong :premises (@p129 @p128) :args (@t69)) % 0.37/0.73 (step @p131 :rule cong :premises (@p130) :args (@t70)) % 0.37/0.73 (step @p132 :rule trans :premises (@p131 @p123)) % 0.37/0.73 (step @p133 :rule refl :args (@t17)) % 0.37/0.73 (step @p134 :rule cong :premises (@p133 @p132) :args (@t71)) % 0.37/0.73 (step @p135 :rule cong :premises (@p134) :args (@t72)) % 0.37/0.73 (step @p136 :rule trans :premises (@p135 @p121)) % 0.37/0.73 (step @p137 :rule eq_resolve :premises (@p83 @p136)) % 0.37/0.73 (step @p138 :rule eq-symm :args (@t150 tptp.nil)) % 0.37/0.73 (step @p139 :rule refl :args (@t152)) % 0.37/0.73 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t153)) % 0.37/0.73 (step @p141 :rule refl :args (@t155)) % 0.37/0.73 (step @p142 :rule cong :premises (@p141 @p140) :args (@t156)) % 0.37/0.73 (step @p143 :rule refl :args (@t158)) % 0.37/0.73 (step @p144 :rule refl :args (@t160)) % 0.37/0.73 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142) :args (@t161)) % 0.37/0.73 (step @p146 :rule refl :args (@t162)) % 0.37/0.73 (step @p147 :rule cong :premises (@p146 @p145) :args ((=> @t162 @t161))) % 0.37/0.73 (assume-push @p596 @t162) % 0.37/0.73 (step @p149 :rule instantiate :premises (@p137) :args (@t163)) % 0.37/0.73 (step-pop @p597 :rule scope :premises (@p149)) % 0.37/0.73 (step @p150 :rule process_scope :premises (@p597) :args (@t161)) % 0.37/0.73 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 0.37/0.73 (step @p153 :rule implies_elim :premises (@p152)) % 0.37/0.73 (step @p154 :rule chain_m_resolution :premises (@p153 @p137) :args (@t166 @t167 @t168)) % 0.37/0.73 (step @p155 :rule quant-merge-prenex :args ((= (forall @t9 @t170) @t149))) % 0.37/0.73 (step @p156 :rule quant-unused-vars :args ((= @t171 @t140))) % 0.37/0.73 (step @p157 :rule alpha_equiv :args (@t172 (@list @t141 @t144 @t142) @t176)) % 0.37/0.73 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t177)) % 0.37/0.73 (step @p159 :rule quant-miniscope-and :args ((= @t178 @t177))) % 0.37/0.73 (step @p160 :rule trans :premises (@p159 @p158)) % 0.37/0.73 (step @p161 :rule refl :args (@t119)) % 0.37/0.73 (step @p162 :rule nary_cong :premises (@p111 @p161 @p160) :args (@t179)) % 0.37/0.73 (step 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0.37/0.73 (step @p587 :rule eq_resolve :premises (@p586 @p585)) % 0.37/0.73 (step @p588 :rule reordering :premises (@p587) :args ((or @t396 @t400))) % 0.37/0.73 (step @p589 :rule chain_m_resolution :premises (@p588 @p512) :args (@t396 @t410 @t413)) % 0.37/0.73 (step @p590 :rule cnf_equiv_pos1 :args (@t424)) % 0.37/0.73 (step @p591 :rule reordering :premises (@p590) :args ((or @t397 @t423 (not @t424)))) % 0.37/0.73 (step @p592 :rule chain_m_resolution :premises (@p591 @p589 @p583) :args (@t423 (@list false false) (@list @t396 @t424))) % 0.37/0.73 (step @p593 :rule cnf_and_pos :args (@t423 1)) % 0.37/0.73 (step @p594 :rule reordering :premises (@p593) :args ((or @t155 (not @t423)))) % 0.37/0.73 (step @p595 false :rule chain_m_resolution :premises (@p594 @p592 @p534) :args (false (@list false true) (@list @t423 @t155))) % 0.37/0.73 ) % 0.37/0.73 % SZS output end Proof % 0.37/0.73 % cvc5 exiting %------------------------------------------------------------------------------