%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC112+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 : n019.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 08:58:06 AM UTC 2026 % Result : Theorem 0.55s 0.76s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC112+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 19:16:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.55/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.55/0.76 % SZS status Theorem % 0.55/0.76 % SZS output start Proof % 0.55/0.76 ( % 0.55/0.76 (declare-sort $$unsorted 0) % 0.55/0.76 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.55/0.76 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.55/0.76 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.55/0.76 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.55/0.76 (declare-const tptp.nil $$unsorted) % 0.55/0.76 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.55/0.76 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.55/0.76 (define @t1 () (@var "V" $$unsorted)) % 0.55/0.76 (define @t2 () (@var "U" $$unsorted)) % 0.55/0.76 (define @t3 () (= @t2 @t1)) % 0.55/0.76 (define @t4 () (not @t3)) % 0.55/0.76 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.55/0.76 (define @t6 () (tptp.ssItem @t1)) % 0.55/0.76 (define @t7 () (@list @t1)) % 0.55/0.76 (define @t8 () (tptp.ssItem @t2)) % 0.55/0.76 (define @t9 () (@list @t2)) % 0.55/0.76 (define @t10 () (@var "X" $$unsorted)) % 0.55/0.76 (define @t11 () (tptp.cons @t1 @t10)) % 0.55/0.76 (define @t12 () (@var "W" $$unsorted)) % 0.55/0.76 (define @t13 () (tptp.ssList @t10)) % 0.55/0.76 (define @t14 () (@list @t10)) % 0.55/0.76 (define @t15 () (tptp.ssList @t12)) % 0.55/0.76 (define @t16 () (@list @t12)) % 0.55/0.76 (define @t17 () (tptp.ssList @t2)) % 0.55/0.76 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.55/0.76 (define @t19 () (tptp.app @t1 @t12)) % 0.55/0.76 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.55/0.76 (define @t21 () (tptp.ssList @t1)) % 0.55/0.76 (define @t22 () (tptp.app @t12 @t1)) % 0.55/0.76 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.55/0.76 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.55/0.76 (define @t25 () (tptp.leq @t12 @t1)) % 0.55/0.76 (define @t26 () (tptp.leq @t1 @t12)) % 0.55/0.76 (define @t27 () (@var "Z" $$unsorted)) % 0.55/0.76 (define @t28 () (@var "Y" $$unsorted)) % 0.55/0.76 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.55/0.76 (define @t30 () (tptp.ssList @t27)) % 0.55/0.76 (define @t31 () (@list @t27)) % 0.55/0.76 (define @t32 () (tptp.ssList @t28)) % 0.55/0.76 (define @t33 () (@list @t28)) % 0.55/0.76 (define @t34 () (tptp.ssItem @t12)) % 0.55/0.76 (define @t35 () (tptp.lt @t1 @t12)) % 0.55/0.76 (define @t36 () (tptp.strictorderedP @t2)) % 0.55/0.76 (define @t37 () (= @t1 @t12)) % 0.55/0.76 (define @t38 () (forall @t7 (=> @t21 @t5))) % 0.55/0.76 (define @t39 () (=> @t17 @t38)) % 0.55/0.76 (define @t40 () (forall @t9 @t39)) % 0.55/0.76 (define @t41 () (tptp.cons @t1 @t2)) % 0.55/0.76 (define @t42 () (tptp.ssList tptp.nil)) % 0.55/0.76 (define @t43 () (= @t1 @t2)) % 0.55/0.76 (define @t44 () (tptp.cons @t12 @t1)) % 0.55/0.76 (define @t45 () (= tptp.nil @t2)) % 0.55/0.76 (define @t46 () (tptp.hd @t2)) % 0.55/0.76 (define @t47 () (not @t45)) % 0.55/0.76 (define @t48 () (tptp.tl @t2)) % 0.55/0.76 (define @t49 () (tptp.app @t2 @t1)) % 0.55/0.76 (define @t50 () (tptp.ssList @t49)) % 0.55/0.76 (define @t51 () (forall @t7 (=> @t21 @t50))) % 0.55/0.76 (define @t52 () (=> @t17 @t51)) % 0.55/0.76 (define @t53 () (forall @t9 @t52)) % 0.55/0.76 (define @t54 () (tptp.app @t1 @t2)) % 0.55/0.76 (define @t55 () (tptp.leq @t1 @t2)) % 0.55/0.76 (define @t56 () (tptp.leq @t2 @t1)) % 0.55/0.76 (define @t57 () (tptp.geq @t2 @t1)) % 0.55/0.76 (define @t58 () (tptp.lt @t1 @t2)) % 0.55/0.76 (define @t59 () (tptp.lt @t2 @t1)) % 0.55/0.76 (define @t60 () (tptp.lt @t2 @t12)) % 0.55/0.76 (define @t61 () (tptp.gt @t2 @t1)) % 0.55/0.76 (define @t62 () (tptp.memberP @t12 @t2)) % 0.55/0.76 (define @t63 () (tptp.app @t12 @t2)) % 0.55/0.76 (define @t64 () (tptp.segmentP @t1 @t2)) % 0.55/0.76 (define @t65 () (tptp.segmentP @t2 @t2)) % 0.55/0.76 (define @t66 () (forall @t9 (=> @t17 @t65))) % 0.55/0.76 (define @t67 () (tptp.segmentP (tptp.app @t63 @t10) @t1)) % 0.55/0.76 (define @t68 () (=> @t24 @t67)) % 0.55/0.76 (define @t69 () (forall @t14 (=> @t13 @t68))) % 0.55/0.76 (define @t70 () (=> @t15 @t69)) % 0.55/0.76 (define @t71 () (forall @t16 @t70)) % 0.55/0.76 (define @t72 () (=> @t21 @t71)) % 0.55/0.76 (define @t73 () (forall @t7 @t72)) % 0.55/0.76 (define @t74 () (=> @t17 @t73)) % 0.55/0.76 (define @t75 () (forall @t9 @t74)) % 0.55/0.76 (define @t76 () (tptp.cons @t2 tptp.nil)) % 0.55/0.76 (define @t77 () (tptp.hd @t1)) % 0.55/0.76 (define @t78 () (= tptp.nil @t1)) % 0.55/0.76 (define @t79 () (not @t78)) % 0.55/0.76 (define @t80 () (tptp.cons @t2 @t1)) % 0.55/0.76 (define @t81 () (= @t12 @t2)) % 0.55/0.76 (define @t82 () (and @t78 @t45)) % 0.55/0.76 (define @t83 () (= tptp.nil @t49)) % 0.55/0.76 (define @t84 () (= @t83 @t82)) % 0.55/0.76 (define @t85 () (=> @t21 @t84)) % 0.55/0.76 (define @t86 () (forall @t7 @t85)) % 0.55/0.76 (define @t87 () (=> @t17 @t86)) % 0.55/0.76 (define @t88 () (forall @t9 @t87)) % 0.55/0.76 (define @t89 () (tptp.neq @t2 tptp.nil)) % 0.55/0.76 (define @t90 () (or (not (tptp.neq @t1 tptp.nil)) (and @t89 @t64))) % 0.55/0.76 (define @t91 () (or @t79 @t45)) % 0.55/0.76 (define @t92 () (and @t91 @t90)) % 0.55/0.76 (define @t93 () (not (= tptp.nil @t10))) % 0.55/0.76 (define @t94 () (and @t93 (= tptp.nil @t12))) % 0.55/0.76 (define @t95 () (@var "X5" $$unsorted)) % 0.55/0.76 (define @t96 () (@var "X7" $$unsorted)) % 0.55/0.76 (define @t97 () (tptp.lt @t96 @t95)) % 0.55/0.76 (define @t98 () (tptp.cons @t96 tptp.nil)) % 0.55/0.76 (define @t99 () (@var "X8" $$unsorted)) % 0.55/0.76 (define @t100 () (tptp.app @t99 @t98)) % 0.55/0.76 (define @t101 () (tptp.ssList @t99)) % 0.55/0.76 (define @t102 () (and @t101 (= @t100 @t12) @t97)) % 0.55/0.76 (define @t103 () (@list @t99)) % 0.55/0.76 (define @t104 () (exists @t103 @t102)) % 0.55/0.76 (define @t105 () (tptp.ssItem @t96)) % 0.55/0.76 (define @t106 () (and @t105 @t104)) % 0.55/0.76 (define @t107 () (@list @t96)) % 0.55/0.76 (define @t108 () (exists @t107 @t106)) % 0.55/0.76 (define @t109 () (@var "X6" $$unsorted)) % 0.55/0.76 (define @t110 () (tptp.cons @t95 tptp.nil)) % 0.55/0.76 (define @t111 () (tptp.app @t110 @t109)) % 0.55/0.76 (define @t112 () (tptp.ssList @t109)) % 0.55/0.76 (define @t113 () (and @t112 (= @t111 @t27) @t108)) % 0.55/0.76 (define @t114 () (@list @t109)) % 0.55/0.76 (define @t115 () (exists @t114 @t113)) % 0.55/0.76 (define @t116 () (tptp.ssItem @t95)) % 0.55/0.76 (define @t117 () (and @t116 @t115)) % 0.55/0.76 (define @t118 () (@list @t95)) % 0.55/0.76 (define @t119 () (exists @t118 @t117)) % 0.55/0.76 (define @t120 () (@var "X3" $$unsorted)) % 0.55/0.76 (define @t121 () (@var "X1" $$unsorted)) % 0.55/0.76 (define @t122 () (tptp.lt @t121 @t120)) % 0.55/0.76 (define @t123 () (@var "X4" $$unsorted)) % 0.55/0.76 (define @t124 () (tptp.cons @t120 tptp.nil)) % 0.55/0.76 (define @t125 () (tptp.app @t124 @t123)) % 0.55/0.76 (define @t126 () (tptp.ssList @t123)) % 0.55/0.76 (define @t127 () (and @t126 (= @t125 @t12) @t122)) % 0.55/0.76 (define @t128 () (@list @t123)) % 0.55/0.76 (define @t129 () (exists @t128 @t127)) % 0.55/0.76 (define @t130 () (tptp.ssItem @t120)) % 0.55/0.76 (define @t131 () (and @t130 @t129)) % 0.55/0.76 (define @t132 () (@list @t120)) % 0.55/0.76 (define @t133 () (exists @t132 @t131)) % 0.55/0.76 (define @t134 () (tptp.cons @t121 tptp.nil)) % 0.55/0.76 (define @t135 () (@var "X2" $$unsorted)) % 0.55/0.76 (define @t136 () (tptp.app @t135 @t134)) % 0.55/0.76 (define @t137 () (tptp.ssList @t135)) % 0.55/0.76 (define @t138 () (and @t137 (= @t136 @t28) @t133)) % 0.55/0.76 (define @t139 () (@list @t135)) % 0.55/0.76 (define @t140 () (exists @t139 @t138)) % 0.55/0.76 (define @t141 () (tptp.ssItem @t121)) % 0.55/0.76 (define @t142 () (and @t141 @t140)) % 0.55/0.76 (define @t143 () (@list @t121)) % 0.55/0.76 (define @t144 () (exists @t143 @t142)) % 0.55/0.76 (define @t145 () (not (tptp.strictorderedP @t12))) % 0.55/0.76 (define @t146 () (tptp.app @t28 @t12)) % 0.55/0.76 (define @t147 () (tptp.app @t146 @t27)) % 0.55/0.76 (define @t148 () (not (= @t147 @t10))) % 0.55/0.76 (define @t149 () (or @t148 @t145 @t144 @t119)) % 0.55/0.76 (define @t150 () (=> @t30 @t149)) % 0.55/0.77 (define @t151 () (forall @t31 @t150)) % 0.55/0.77 (define @t152 () (=> @t32 @t151)) % 0.55/0.77 (define @t153 () (forall @t33 @t152)) % 0.55/0.77 (define @t154 () (not (= @t2 @t12))) % 0.55/0.77 (define @t155 () (not (= @t1 @t10))) % 0.55/0.77 (define @t156 () (or @t155 @t154 @t153 @t94 @t92)) % 0.55/0.77 (define @t157 () (=> @t13 @t156)) % 0.55/0.77 (define @t158 () (forall @t14 @t157)) % 0.55/0.77 (define @t159 () (=> @t15 @t158)) % 0.55/0.77 (define @t160 () (forall @t16 @t159)) % 0.55/0.77 (define @t161 () (=> @t21 @t160)) % 0.55/0.77 (define @t162 () (forall @t7 @t161)) % 0.55/0.77 (define @t163 () (=> @t17 @t162)) % 0.55/0.77 (define @t164 () (forall @t9 @t163)) % 0.55/0.77 (define @t165 () (not @t164)) % 0.55/0.77 (define @t166 () (@var "BOUND_VARIABLE_11397" $$unsorted)) % 0.55/0.77 (define @t167 () (@var "BOUND_VARIABLE_11150" $$unsorted)) % 0.55/0.77 (define @t168 () (tptp.app @t110 @t167)) % 0.55/0.77 (define @t169 () (not (tptp.ssList @t167))) % 0.55/0.77 (define @t170 () (@var "BOUND_VARIABLE_11135" $$unsorted)) % 0.55/0.77 (define @t171 () (@var "BOUND_VARIABLE_11137" $$unsorted)) % 0.55/0.77 (define @t172 () (tptp.app @t171 (tptp.cons @t170 tptp.nil))) % 0.55/0.77 (define @t173 () (not (= @t2 @t172))) % 0.55/0.77 (define @t174 () (not (tptp.ssList @t171))) % 0.55/0.77 (define @t175 () (not (tptp.lt @t170 @t95))) % 0.55/0.77 (define @t176 () (not (tptp.ssItem @t170))) % 0.55/0.77 (define @t177 () (not @t116)) % 0.55/0.77 (define @t178 () (@list @t95 @t170 @t171 @t167)) % 0.55/0.77 (define @t179 () (not (forall @t178 (or @t177 @t176 @t175 @t174 @t173 @t169 (not (= @t168 @t166)))))) % 0.55/0.77 (define @t180 () (not (tptp.ssList @t166))) % 0.55/0.77 (define @t181 () (@var "BOUND_VARIABLE_11395" $$unsorted)) % 0.55/0.77 (define @t182 () (@var "BOUND_VARIABLE_11062" $$unsorted)) % 0.55/0.77 (define @t183 () (tptp.app @t182 @t134)) % 0.55/0.77 (define @t184 () (not (tptp.ssList @t182))) % 0.55/0.77 (define @t185 () (@var "BOUND_VARIABLE_11049" $$unsorted)) % 0.55/0.77 (define @t186 () (@var "BOUND_VARIABLE_11047" $$unsorted)) % 0.55/0.77 (define @t187 () (tptp.app (tptp.cons @t186 tptp.nil) @t185)) % 0.55/0.77 (define @t188 () (not (= @t2 @t187))) % 0.55/0.77 (define @t189 () (not (tptp.ssList @t185))) % 0.55/0.77 (define @t190 () (not (tptp.lt @t121 @t186))) % 0.55/0.77 (define @t191 () (not (tptp.ssItem @t186))) % 0.55/0.77 (define @t192 () (not @t141)) % 0.55/0.77 (define @t193 () (@list @t121 @t186 @t185 @t182)) % 0.55/0.77 (define @t194 () (not (forall @t193 (or @t192 @t191 @t190 @t189 @t188 @t184 (not (= @t183 @t181)))))) % 0.55/0.77 (define @t195 () (not (tptp.ssList @t181))) % 0.55/0.77 (define @t196 () (= @t2 tptp.nil)) % 0.55/0.77 (define @t197 () (tptp.app (tptp.app @t181 @t2) @t166)) % 0.55/0.77 (define @t198 () (not (= tptp.nil @t197))) % 0.55/0.77 (define @t199 () (and @t198 @t196)) % 0.55/0.77 (define @t200 () (and (or @t198 @t196) (or (not (tptp.neq @t197 tptp.nil)) (and @t89 (tptp.segmentP @t197 @t2))))) % 0.55/0.77 (define @t201 () (not (tptp.ssList @t197))) % 0.55/0.77 (define @t202 () (not @t36)) % 0.55/0.77 (define @t203 () (not @t17)) % 0.55/0.77 (define @t204 () (or @t203 @t202 @t201 @t200 @t199 @t195 @t194 @t180 @t179)) % 0.55/0.77 (define @t205 () (@list @t2 @t181 @t166)) % 0.55/0.77 (define @t206 () (forall @t205 @t204)) % 0.55/0.77 (define @t207 () (@quantifiers_skolemize @t206 2)) % 0.55/0.77 (define @t208 () (@quantifiers_skolemize @t206 0)) % 0.55/0.77 (define @t209 () (@quantifiers_skolemize @t206 1)) % 0.55/0.77 (define @t210 () (tptp.app @t209 @t208)) % 0.55/0.77 (define @t211 () (tptp.app @t210 @t207)) % 0.55/0.77 (define @t212 () (= tptp.nil @t211)) % 0.55/0.77 (define @t213 () (= tptp.nil @t208)) % 0.55/0.77 (define @t214 () (not @t212)) % 0.55/0.77 (define @t215 () (or @t214 @t213)) % 0.55/0.77 (define @t216 () (not @t214)) % 0.55/0.77 (define @t217 () (or @t201 @t200 @t199 @t195 @t194 @t180 @t179)) % 0.55/0.77 (define @t218 () (or @t203 @t202 @t217)) % 0.55/0.77 (define @t219 () (forall @t205 @t218)) % 0.55/0.77 (define @t220 () (@list @t181 @t166)) % 0.55/0.77 (define @t221 () (forall @t220 @t218)) % 0.55/0.77 (define @t222 () (forall @t220 @t217)) % 0.55/0.77 (define @t223 () (@var "BOUND_VARIABLE_11340" $$unsorted)) % 0.55/0.77 (define @t224 () (@var "BOUND_VARIABLE_11338" $$unsorted)) % 0.55/0.77 (define @t225 () (@list @t224 @t223)) % 0.55/0.77 (define @t226 () (or @t203 @t202 @t222)) % 0.55/0.77 (define @t227 () (not (forall @t178 (or @t177 @t176 @t175 @t174 @t173 @t169 (not (= @t168 @t223)))))) % 0.55/0.77 (define @t228 () (not (tptp.ssList @t223))) % 0.55/0.77 (define @t229 () (not (forall @t193 (or @t192 @t191 @t190 @t189 @t188 @t184 (not (= @t183 @t224)))))) % 0.55/0.77 (define @t230 () (not (tptp.ssList @t224))) % 0.55/0.77 (define @t231 () (tptp.app (tptp.app @t224 @t2) @t223)) % 0.55/0.77 (define @t232 () (not (= tptp.nil @t231))) % 0.55/0.77 (define @t233 () (and @t232 @t196)) % 0.55/0.77 (define @t234 () (or (not (tptp.neq @t231 tptp.nil)) (and @t89 (tptp.segmentP @t231 @t2)))) % 0.55/0.77 (define @t235 () (and (or @t232 @t196) @t234)) % 0.55/0.77 (define @t236 () (not (tptp.ssList @t231))) % 0.55/0.77 (define @t237 () (or @t236 @t235 @t233 @t230 @t229 @t228 @t227)) % 0.55/0.77 (define @t238 () (@list @t224 @t223)) % 0.55/0.77 (define @t239 () (or @t203 @t202 (forall @t238 @t237))) % 0.55/0.77 (define @t240 () (not (= @t231 @t231))) % 0.55/0.77 (define @t241 () (not (= @t231 tptp.nil))) % 0.55/0.77 (define @t242 () (and @t241 @t196)) % 0.55/0.77 (define @t243 () (or @t241 @t196)) % 0.55/0.77 (define @t244 () (and @t243 @t234)) % 0.55/0.77 (define @t245 () (or @t236 @t244 @t242 @t230 @t229 @t228 @t240 @t227)) % 0.55/0.77 (define @t246 () (not (= @t1 @t231))) % 0.55/0.77 (define @t247 () (= @t1 tptp.nil)) % 0.55/0.77 (define @t248 () (not @t247)) % 0.55/0.77 (define @t249 () (and @t248 @t196)) % 0.55/0.77 (define @t250 () (and (or @t248 @t196) @t90)) % 0.55/0.77 (define @t251 () (not @t21)) % 0.55/0.77 (define @t252 () (or @t246 @t251 @t250 @t249 @t230 @t229 @t228 @t246 @t227)) % 0.55/0.77 (define @t253 () (or @t251 @t250 @t249 @t230 @t229 @t228 @t246 @t227)) % 0.55/0.77 (define @t254 () (forall @t7 @t253)) % 0.55/0.77 (define @t255 () (forall @t238 @t254)) % 0.55/0.77 (define @t256 () (forall (@list @t224 @t223 @t1) @t253)) % 0.55/0.77 (define @t257 () (@list @t1 @t224 @t223)) % 0.55/0.77 (define @t258 () (or @t230 @t229 @t228 @t246 @t227)) % 0.55/0.77 (define @t259 () (or @t251 @t250 @t249 @t258)) % 0.55/0.77 (define @t260 () (forall @t257 @t259)) % 0.55/0.77 (define @t261 () (forall @t238 @t259)) % 0.55/0.77 (define @t262 () (forall @t238 @t258)) % 0.55/0.77 (define @t263 () (@var "BOUND_VARIABLE_11276" $$unsorted)) % 0.55/0.77 (define @t264 () (@var "BOUND_VARIABLE_11274" $$unsorted)) % 0.55/0.77 (define @t265 () (@list @t264 @t263)) % 0.55/0.77 (define @t266 () (or @t251 @t250 @t249 @t262)) % 0.55/0.77 (define @t267 () (not (= @t168 @t263))) % 0.55/0.77 (define @t268 () (not (forall @t178 (or @t177 @t176 @t175 @t174 @t173 @t169 @t267)))) % 0.55/0.77 (define @t269 () (not (= @t1 (tptp.app (tptp.app @t264 @t2) @t263)))) % 0.55/0.77 (define @t270 () (not (tptp.ssList @t263))) % 0.55/0.77 (define @t271 () (not (= @t183 @t264))) % 0.55/0.77 (define @t272 () (not (forall @t193 (or @t192 @t191 @t190 @t189 @t188 @t184 @t271)))) % 0.55/0.77 (define @t273 () (not (tptp.ssList @t264))) % 0.55/0.77 (define @t274 () (or @t273 @t272 @t270 @t269 @t268)) % 0.55/0.77 (define @t275 () (@list @t264 @t263)) % 0.55/0.77 (define @t276 () (forall @t275 @t274)) % 0.55/0.77 (define @t277 () (or @t251 @t250 @t249 @t276)) % 0.55/0.77 (define @t278 () (forall @t7 @t277)) % 0.55/0.77 (define @t279 () (or @t203 @t202 @t278)) % 0.55/0.77 (define @t280 () (or @t203 @t202 @t277)) % 0.55/0.77 (define @t281 () (or @t251 @t250 @t203 @t202 @t249 @t276)) % 0.55/0.77 (define @t282 () (or @t250 @t251 @t203 @t202 @t249 @t276)) % 0.55/0.77 (define @t283 () (or @t203 @t202 @t249 @t276)) % 0.55/0.77 (define @t284 () (or @t203 @t202 @t249 @t274)) % 0.55/0.77 (define @t285 () (or @t203 @t202 @t249 @t273 @t272 @t270 @t269 @t268)) % 0.55/0.77 (define @t286 () (not (= @t2 @t2))) % 0.55/0.77 (define @t287 () (or @t203 @t286 @t202 @t249 @t273 @t272 @t270 @t269 @t268)) % 0.55/0.77 (define @t288 () (not (= @t12 @t172))) % 0.55/0.77 (define @t289 () (not (forall @t178 (or @t177 @t176 @t175 @t174 @t288 @t169 @t267)))) % 0.55/0.77 (define @t290 () (not (= @t1 (tptp.app (tptp.app @t264 @t12) @t263)))) % 0.55/0.77 (define @t291 () (not (= @t12 @t187))) % 0.55/0.77 (define @t292 () (not (forall @t193 (or @t192 @t191 @t190 @t189 @t291 @t184 @t271)))) % 0.55/0.77 (define @t293 () (= @t12 tptp.nil)) % 0.55/0.77 (define @t294 () (and @t248 @t293)) % 0.55/0.77 (define @t295 () (not @t15)) % 0.55/0.77 (define @t296 () (or @t154 @t295 @t154 @t145 @t294 @t273 @t292 @t270 @t290 @t289)) % 0.55/0.77 (define @t297 () (or @t295 @t154 @t145 @t294 @t273 @t292 @t270 @t290 @t289)) % 0.55/0.77 (define @t298 () (forall @t16 @t297)) % 0.55/0.77 (define @t299 () (forall @t275 @t298)) % 0.55/0.77 (define @t300 () (forall (@list @t264 @t263 @t12) @t297)) % 0.55/0.77 (define @t301 () (@list @t12 @t264 @t263)) % 0.55/0.77 (define @t302 () (or @t273 @t292 @t270 @t290 @t289)) % 0.55/0.77 (define @t303 () (or @t295 @t154 @t145 @t294 @t302)) % 0.55/0.77 (define @t304 () (forall @t301 @t303)) % 0.55/0.77 (define @t305 () (forall @t275 @t303)) % 0.55/0.77 (define @t306 () (forall @t275 @t302)) % 0.55/0.77 (define @t307 () (@var "BOUND_VARIABLE_11221" $$unsorted)) % 0.55/0.77 (define @t308 () (@var "BOUND_VARIABLE_11219" $$unsorted)) % 0.55/0.77 (define @t309 () (@list @t308 @t307)) % 0.55/0.77 (define @t310 () (or @t295 @t154 @t145 @t294 @t306)) % 0.55/0.77 (define @t311 () (not (forall @t178 (or @t177 @t176 @t175 @t174 @t288 @t169 (not (= @t168 @t307)))))) % 0.55/0.77 (define @t312 () (tptp.app (tptp.app @t308 @t12) @t307)) % 0.55/0.77 (define @t313 () (not (= @t1 @t312))) % 0.55/0.77 (define @t314 () (not (tptp.ssList @t307))) % 0.55/0.77 (define @t315 () (not (forall @t193 (or @t192 @t191 @t190 @t189 @t291 @t184 (not (= @t183 @t308)))))) % 0.55/0.77 (define @t316 () (not (tptp.ssList @t308))) % 0.55/0.77 (define @t317 () (or @t316 @t315 @t314 @t313 @t311)) % 0.55/0.77 (define @t318 () (@list @t308 @t307)) % 0.55/0.77 (define @t319 () (forall @t318 @t317)) % 0.55/0.77 (define @t320 () (or @t295 @t154 @t145 @t294 @t319)) % 0.55/0.77 (define @t321 () (forall @t16 @t320)) % 0.55/0.77 (define @t322 () (or @t250 @t251 @t321)) % 0.55/0.77 (define @t323 () (or @t250 @t251 @t320)) % 0.55/0.77 (define @t324 () (or @t295 @t154 @t250 @t145 @t251 @t294 @t319)) % 0.55/0.77 (define @t325 () (or @t154 @t250 @t145 @t251 @t294 @t319)) % 0.55/0.77 (define @t326 () (or @t251 @t294 @t319)) % 0.55/0.77 (define @t327 () (or @t251 @t294 @t317)) % 0.55/0.77 (define @t328 () (or @t251 @t294 @t316 @t315 @t314 @t313 @t311)) % 0.55/0.77 (define @t329 () (not (= @t1 @t1))) % 0.55/0.77 (define @t330 () (or @t251 @t329 @t294 @t316 @t315 @t314 @t313 @t311)) % 0.55/0.77 (define @t331 () (not (= @t10 @t312))) % 0.55/0.77 (define @t332 () (and (not (= @t10 tptp.nil)) @t293)) % 0.55/0.77 (define @t333 () (not @t13)) % 0.55/0.77 (define @t334 () (or @t155 @t333 @t155 @t332 @t316 @t315 @t314 @t331 @t311)) % 0.55/0.77 (define @t335 () (or @t333 @t155 @t332 @t316 @t315 @t314 @t331 @t311)) % 0.55/0.77 (define @t336 () (forall @t14 @t335)) % 0.55/0.77 (define @t337 () (forall @t318 @t336)) % 0.55/0.77 (define @t338 () (forall (@list @t308 @t307 @t10) @t335)) % 0.55/0.77 (define @t339 () (@list @t10 @t308 @t307)) % 0.55/0.77 (define @t340 () (not (= @t308 @t183))) % 0.55/0.77 (define @t341 () (or @t192 @t191 @t190 @t189 @t291 @t184 @t340)) % 0.55/0.77 (define @t342 () (forall @t193 @t341)) % 0.55/0.77 (define @t343 () (not @t342)) % 0.55/0.77 (define @t344 () (or @t333 @t155 @t332 @t316 @t343 @t314 @t331 @t311)) % 0.55/0.77 (define @t345 () (or @t316 @t343 @t314 @t331 @t311)) % 0.55/0.77 (define @t346 () (or @t333 @t155 @t332 @t345)) % 0.55/0.77 (define @t347 () (forall @t339 @t346)) % 0.55/0.77 (define @t348 () (forall @t318 @t346)) % 0.55/0.77 (define @t349 () (forall @t318 @t345)) % 0.55/0.77 (define @t350 () (@var "BOUND_VARIABLE_11179" $$unsorted)) % 0.55/0.77 (define @t351 () (or @t333 @t155 @t332 @t349)) % 0.55/0.77 (define @t352 () (not (= @t10 (tptp.app @t146 @t350)))) % 0.55/0.77 (define @t353 () (not (tptp.ssList @t350))) % 0.55/0.77 (define @t354 () (not (= @t28 @t183))) % 0.55/0.77 (define @t355 () (or @t192 @t191 @t190 @t189 @t291 @t184 @t354)) % 0.55/0.77 (define @t356 () (not (forall @t193 @t355))) % 0.55/0.77 (define @t357 () (not @t32)) % 0.55/0.77 (define @t358 () (@list @t28 @t350)) % 0.55/0.77 (define @t359 () (forall @t358 (or @t357 @t356 @t353 @t352 (not (forall @t178 (or @t177 @t176 @t175 @t174 @t288 @t169 (not (= @t168 @t350)))))))) % 0.55/0.77 (define @t360 () (or @t333 @t155 @t332 @t359)) % 0.55/0.77 (define @t361 () (forall @t14 @t360)) % 0.55/0.77 (define @t362 () (or @t154 @t250 @t145 @t361)) % 0.55/0.77 (define @t363 () (or @t154 @t250 @t145 @t360)) % 0.55/0.77 (define @t364 () (or @t333 @t155 @t154 @t332 @t250 @t145 @t359)) % 0.55/0.77 (define @t365 () (or @t155 @t154 @t332 @t250 @t145 @t359)) % 0.55/0.77 (define @t366 () (not (= @t350 @t168))) % 0.55/0.77 (define @t367 () (or @t177 @t176 @t175 @t174 @t288 @t169 @t366)) % 0.55/0.77 (define @t368 () (forall @t178 @t367)) % 0.55/0.77 (define @t369 () (not @t368)) % 0.55/0.77 (define @t370 () (or @t357 @t356 @t353 @t352 @t369)) % 0.55/0.77 (define @t371 () (or @t353 @t352 @t369)) % 0.55/0.77 (define @t372 () (or @t357 @t356 @t371)) % 0.55/0.77 (define @t373 () (forall @t358 @t372)) % 0.55/0.77 (define @t374 () (@list @t350)) % 0.55/0.77 (define @t375 () (forall @t374 @t372)) % 0.55/0.77 (define @t376 () (forall @t374 @t371)) % 0.55/0.77 (define @t377 () (or @t357 @t356 @t376)) % 0.55/0.77 (define @t378 () (not (= @t27 @t168))) % 0.55/0.77 (define @t379 () (or @t177 @t176 @t175 @t174 @t288 @t169 @t378)) % 0.55/0.77 (define @t380 () (not (forall @t178 @t379))) % 0.55/0.77 (define @t381 () (not (= @t10 @t147))) % 0.55/0.77 (define @t382 () (not @t30)) % 0.55/0.77 (define @t383 () (or @t382 @t381 @t380)) % 0.55/0.77 (define @t384 () (forall @t31 @t383)) % 0.55/0.77 (define @t385 () (or @t357 @t356 @t384)) % 0.55/0.77 (define @t386 () (forall @t33 @t385)) % 0.55/0.77 (define @t387 () (or @t145 @t386)) % 0.55/0.77 (define @t388 () (or @t145 @t385)) % 0.55/0.77 (define @t389 () (or @t357 @t145 @t356 @t384)) % 0.55/0.77 (define @t390 () (or @t145 @t356 @t384)) % 0.55/0.77 (define @t391 () (or @t145 @t356 @t383)) % 0.55/0.77 (define @t392 () (or @t382 @t381 @t145 @t356 @t380)) % 0.55/0.77 (define @t393 () (or @t381 @t145 @t356 @t380)) % 0.55/0.77 (define @t394 () (or @t169 @t378)) % 0.55/0.77 (define @t395 () (or @t176 @t175 @t174 @t288)) % 0.55/0.77 (define @t396 () (or @t177 @t395 @t394)) % 0.55/0.77 (define @t397 () (forall @t178 @t396)) % 0.55/0.77 (define @t398 () (forall (@list @t170 @t171 @t167) @t396)) % 0.55/0.77 (define @t399 () (forall (@list @t167) @t394)) % 0.55/0.77 (define @t400 () (forall (@list @t170 @t171) @t395)) % 0.55/0.77 (define @t401 () (@var "BOUND_VARIABLE_11100" $$unsorted)) % 0.55/0.77 (define @t402 () (or @t177 @t400 @t399)) % 0.55/0.77 (define @t403 () (= @t27 @t111)) % 0.55/0.77 (define @t404 () (not @t403)) % 0.55/0.77 (define @t405 () (not @t112)) % 0.55/0.77 (define @t406 () (or @t405 @t404)) % 0.55/0.77 (define @t407 () (forall @t114 @t406)) % 0.55/0.77 (define @t408 () (not (= @t12 (tptp.app @t401 @t98)))) % 0.55/0.77 (define @t409 () (not (tptp.ssList @t401))) % 0.55/0.77 (define @t410 () (not @t97)) % 0.55/0.77 (define @t411 () (not @t105)) % 0.55/0.77 (define @t412 () (or @t411 @t410 @t409 @t408)) % 0.55/0.77 (define @t413 () (@list @t96 @t401)) % 0.55/0.77 (define @t414 () (forall @t413 @t412)) % 0.55/0.77 (define @t415 () (or @t177 @t414 @t407)) % 0.55/0.77 (define @t416 () (or @t414 @t407)) % 0.55/0.77 (define @t417 () (not @t416)) % 0.55/0.77 (define @t418 () (and @t116 @t417)) % 0.55/0.77 (define @t419 () (forall @t118 (not @t418))) % 0.55/0.77 (define @t420 () (not @t419)) % 0.55/0.77 (define @t421 () (or @t414 @t406)) % 0.55/0.77 (define @t422 () (or @t405 @t404 @t414)) % 0.55/0.77 (define @t423 () (not @t414)) % 0.55/0.77 (define @t424 () (not @t423)) % 0.55/0.77 (define @t425 () (or @t405 @t404 @t424)) % 0.55/0.77 (define @t426 () (and @t112 @t403 @t423)) % 0.55/0.77 (define @t427 () (forall @t114 (not @t426))) % 0.55/0.77 (define @t428 () (not @t427)) % 0.55/0.77 (define @t429 () (or @t409 @t408)) % 0.55/0.77 (define @t430 () (or @t411 @t410 @t429)) % 0.55/0.77 (define @t431 () (forall @t413 @t430)) % 0.55/0.77 (define @t432 () (@list @t401)) % 0.55/0.77 (define @t433 () (forall @t432 @t430)) % 0.55/0.77 (define @t434 () (forall @t432 @t429)) % 0.55/0.77 (define @t435 () (or @t411 @t410 @t434)) % 0.55/0.77 (define @t436 () (= @t12 @t100)) % 0.55/0.77 (define @t437 () (not @t436)) % 0.55/0.77 (define @t438 () (not @t101)) % 0.55/0.77 (define @t439 () (or @t438 @t437)) % 0.55/0.77 (define @t440 () (forall @t103 @t439)) % 0.55/0.77 (define @t441 () (or @t411 @t410 @t440)) % 0.55/0.77 (define @t442 () (or @t410 @t440)) % 0.55/0.77 (define @t443 () (not @t442)) % 0.55/0.77 (define @t444 () (and @t105 @t443)) % 0.55/0.77 (define @t445 () (forall @t107 (not @t444))) % 0.55/0.77 (define @t446 () (not @t445)) % 0.55/0.77 (define @t447 () (or @t410 @t439)) % 0.55/0.77 (define @t448 () (or @t438 @t437 @t410)) % 0.55/0.77 (define @t449 () (and @t101 @t436 @t97)) % 0.55/0.77 (define @t450 () (forall @t103 (not @t449))) % 0.55/0.77 (define @t451 () (not @t450)) % 0.55/0.77 (define @t452 () (or @t184 @t354)) % 0.55/0.77 (define @t453 () (or @t191 @t190 @t189 @t291)) % 0.55/0.77 (define @t454 () (or @t192 @t453 @t452)) % 0.55/0.77 (define @t455 () (forall @t193 @t454)) % 0.55/0.77 (define @t456 () (forall (@list @t186 @t185 @t182) @t454)) % 0.55/0.77 (define @t457 () (forall (@list @t182) @t452)) % 0.55/0.77 (define @t458 () (forall (@list @t186 @t185) @t453)) % 0.55/0.77 (define @t459 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 0.55/0.77 (define @t460 () (or @t192 @t458 @t457)) % 0.55/0.77 (define @t461 () (= @t28 @t136)) % 0.55/0.77 (define @t462 () (not @t461)) % 0.55/0.77 (define @t463 () (not @t137)) % 0.55/0.77 (define @t464 () (or @t463 @t462)) % 0.55/0.77 (define @t465 () (forall @t139 @t464)) % 0.55/0.77 (define @t466 () (not (= @t12 (tptp.app @t124 @t459)))) % 0.55/0.77 (define @t467 () (not (tptp.ssList @t459))) % 0.55/0.77 (define @t468 () (not @t122)) % 0.55/0.77 (define @t469 () (not @t130)) % 0.55/0.77 (define @t470 () (or @t469 @t468 @t467 @t466)) % 0.55/0.77 (define @t471 () (@list @t120 @t459)) % 0.55/0.77 (define @t472 () (forall @t471 @t470)) % 0.55/0.77 (define @t473 () (or @t192 @t472 @t465)) % 0.55/0.77 (define @t474 () (or @t472 @t465)) % 0.55/0.77 (define @t475 () (not @t474)) % 0.55/0.77 (define @t476 () (and @t141 @t475)) % 0.55/0.77 (define @t477 () (forall @t143 (not @t476))) % 0.55/0.77 (define @t478 () (not @t477)) % 0.55/0.77 (define @t479 () (or @t472 @t464)) % 0.55/0.77 (define @t480 () (or @t463 @t462 @t472)) % 0.55/0.77 (define @t481 () (not @t472)) % 0.55/0.77 (define @t482 () (not @t481)) % 0.55/0.77 (define @t483 () (or @t463 @t462 @t482)) % 0.55/0.77 (define @t484 () (and @t137 @t461 @t481)) % 0.55/0.77 (define @t485 () (forall @t139 (not @t484))) % 0.55/0.77 (define @t486 () (not @t485)) % 0.55/0.77 (define @t487 () (or @t467 @t466)) % 0.55/0.77 (define @t488 () (or @t469 @t468 @t487)) % 0.55/0.77 (define @t489 () (forall @t471 @t488)) % 0.55/0.77 (define @t490 () (@list @t459)) % 0.55/0.77 (define @t491 () (forall @t490 @t488)) % 0.55/0.77 (define @t492 () (forall @t490 @t487)) % 0.55/0.77 (define @t493 () (or @t469 @t468 @t492)) % 0.55/0.77 (define @t494 () (= @t12 @t125)) % 0.55/0.77 (define @t495 () (not @t494)) % 0.55/0.77 (define @t496 () (not @t126)) % 0.55/0.77 (define @t497 () (or @t496 @t495)) % 0.55/0.77 (define @t498 () (forall @t128 @t497)) % 0.55/0.77 (define @t499 () (or @t469 @t468 @t498)) % 0.55/0.77 (define @t500 () (or @t468 @t498)) % 0.55/0.77 (define @t501 () (not @t500)) % 0.55/0.77 (define @t502 () (and @t130 @t501)) % 0.55/0.77 (define @t503 () (forall @t132 (not @t502))) % 0.55/0.77 (define @t504 () (not @t503)) % 0.55/0.77 (define @t505 () (or @t468 @t497)) % 0.55/0.77 (define @t506 () (or @t496 @t495 @t468)) % 0.55/0.77 (define @t507 () (and @t126 @t494 @t122)) % 0.55/0.77 (define @t508 () (forall @t128 (not @t507))) % 0.55/0.77 (define @t509 () (not @t508)) % 0.55/0.77 (define @t510 () (not (= @t168 @t207))) % 0.55/0.77 (define @t511 () (tptp.ssList @t207)) % 0.55/0.77 (define @t512 () (not @t511)) % 0.55/0.77 (define @t513 () (not (= @t183 @t209))) % 0.55/0.77 (define @t514 () (tptp.ssList @t209)) % 0.55/0.77 (define @t515 () (not @t514)) % 0.55/0.77 (define @t516 () (and @t214 @t213)) % 0.55/0.77 (define @t517 () (tptp.segmentP @t211 @t208)) % 0.55/0.77 (define @t518 () (tptp.neq @t208 tptp.nil)) % 0.55/0.77 (define @t519 () (and @t518 @t517)) % 0.55/0.77 (define @t520 () (tptp.neq @t211 tptp.nil)) % 0.55/0.77 (define @t521 () (not @t520)) % 0.55/0.77 (define @t522 () (or @t521 @t519)) % 0.55/0.77 (define @t523 () (and @t215 @t522)) % 0.55/0.77 (define @t524 () (not (tptp.ssList @t211))) % 0.55/0.77 (define @t525 () (not (tptp.strictorderedP @t208))) % 0.55/0.77 (define @t526 () (tptp.ssList @t208)) % 0.55/0.77 (define @t527 () (not @t526)) % 0.55/0.77 (define @t528 () (or @t527 @t525 @t524 @t523 @t516 @t515 (not (forall @t193 (or @t192 @t191 @t190 @t189 (not (= @t187 @t208)) @t184 @t513))) @t512 (not (forall @t178 (or @t177 @t176 @t175 @t174 (not (= @t172 @t208)) @t169 @t510))))) % 0.55/0.77 (define @t529 () (not @t528)) % 0.55/0.77 (define @t530 () (not @t206)) % 0.55/0.77 (define @t531 () (not (= @t208 @t172))) % 0.55/0.77 (define @t532 () (or @t177 @t176 @t175 @t174 @t531 @t169 @t510)) % 0.55/0.77 (define @t533 () (forall @t178 @t532)) % 0.55/0.77 (define @t534 () (not @t533)) % 0.55/0.77 (define @t535 () (not (= @t208 @t187))) % 0.55/0.77 (define @t536 () (or @t192 @t191 @t190 @t189 @t535 @t184 @t513)) % 0.55/0.77 (define @t537 () (forall @t193 @t536)) % 0.55/0.77 (define @t538 () (not @t537)) % 0.55/0.77 (define @t539 () (= @t208 tptp.nil)) % 0.55/0.77 (define @t540 () (and @t214 @t539)) % 0.55/0.77 (define @t541 () (or @t214 @t539)) % 0.55/0.77 (define @t542 () (and @t541 @t522)) % 0.55/0.77 (define @t543 () (or @t527 @t525 @t524 @t542 @t540 @t515 @t538 @t512 @t534)) % 0.55/0.77 (define @t544 () (not @t543)) % 0.55/0.77 (define @t545 () (@list true)) % 0.55/0.77 (define @t546 () (@list @t528)) % 0.55/0.77 (define @t547 () (not @t213)) % 0.55/0.77 (define @t548 () (@var "BOUND_VARIABLE_9163" $$unsorted)) % 0.55/0.77 (define @t549 () (= (tptp.neq @t2 @t548) (not (= @t2 @t548)))) % 0.55/0.77 (define @t550 () (not (tptp.ssList @t548))) % 0.55/0.77 (define @t551 () (or @t203 @t550 @t549)) % 0.55/0.77 (define @t552 () (or @t550 @t549)) % 0.55/0.77 (define @t553 () (or @t203 @t552)) % 0.55/0.77 (define @t554 () (@list @t2 @t548)) % 0.55/0.77 (define @t555 () (forall @t554 @t553)) % 0.55/0.77 (define @t556 () (@list @t548)) % 0.55/0.77 (define @t557 () (forall @t556 @t553)) % 0.55/0.77 (define @t558 () (forall @t556 @t552)) % 0.55/0.77 (define @t559 () (@list @t1)) % 0.55/0.77 (define @t560 () (or @t203 @t558)) % 0.55/0.77 (define @t561 () (forall @t7 (or @t251 @t5))) % 0.55/0.77 (define @t562 () (not @t539)) % 0.55/0.77 (define @t563 () (= @t518 @t562)) % 0.55/0.77 (define @t564 () (not @t42)) % 0.55/0.77 (define @t565 () (or @t527 @t564 @t563)) % 0.55/0.77 (define @t566 () (forall @t554 @t551)) % 0.55/0.77 (define @t567 () (= @t518 @t547)) % 0.55/0.77 (define @t568 () (or @t527 @t564 @t567)) % 0.55/0.77 (define @t569 () (@list false)) % 0.55/0.77 (define @t570 () (@list false false false)) % 0.55/0.77 (define @t571 () (not @t567)) % 0.55/0.77 (define @t572 () (@var "BOUND_VARIABLE_10262" $$unsorted)) % 0.55/0.77 (define @t573 () (@var "BOUND_VARIABLE_10266" $$unsorted)) % 0.55/0.77 (define @t574 () (@var "BOUND_VARIABLE_10264" $$unsorted)) % 0.55/0.77 (define @t575 () (tptp.segmentP (tptp.app (tptp.app @t574 @t2) @t573) @t572)) % 0.55/0.77 (define @t576 () (not (tptp.ssList @t573))) % 0.55/0.77 (define @t577 () (not (tptp.ssList @t574))) % 0.55/0.77 (define @t578 () (not (tptp.segmentP @t2 @t572))) % 0.55/0.77 (define @t579 () (not (tptp.ssList @t572))) % 0.55/0.77 (define @t580 () (or @t579 @t578 @t577 @t576 @t575)) % 0.55/0.77 (define @t581 () (or @t203 @t580)) % 0.55/0.77 (define @t582 () (forall (@list @t2 @t572 @t574 @t573) @t581)) % 0.55/0.77 (define @t583 () (@list @t572 @t574 @t573)) % 0.55/0.77 (define @t584 () (forall @t583 @t581)) % 0.55/0.77 (define @t585 () (forall @t583 @t580)) % 0.55/0.77 (define @t586 () (@var "BOUND_VARIABLE_10243" $$unsorted)) % 0.55/0.77 (define @t587 () (@var "BOUND_VARIABLE_10241" $$unsorted)) % 0.55/0.77 (define @t588 () (or @t203 @t585)) % 0.55/0.77 (define @t589 () (tptp.segmentP (tptp.app (tptp.app @t587 @t2) @t586) @t1)) % 0.55/0.77 (define @t590 () (not (tptp.ssList @t586))) % 0.55/0.77 (define @t591 () (not (tptp.ssList @t587))) % 0.55/0.77 (define @t592 () (not @t24)) % 0.55/0.77 (define @t593 () (or @t251 @t592 @t591 @t590 @t589)) % 0.55/0.77 (define @t594 () (@list @t1 @t587 @t586)) % 0.55/0.77 (define @t595 () (forall @t594 @t593)) % 0.55/0.77 (define @t596 () (or @t591 @t590 @t589)) % 0.55/0.77 (define @t597 () (or @t251 @t592 @t596)) % 0.55/0.77 (define @t598 () (forall @t594 @t597)) % 0.55/0.77 (define @t599 () (@list @t587 @t586)) % 0.55/0.77 (define @t600 () (forall @t599 @t597)) % 0.55/0.77 (define @t601 () (forall @t599 @t596)) % 0.55/0.77 (define @t602 () (@var "BOUND_VARIABLE_10224" $$unsorted)) % 0.55/0.77 (define @t603 () (or @t251 @t592 @t601)) % 0.55/0.77 (define @t604 () (tptp.segmentP (tptp.app @t63 @t602) @t1)) % 0.55/0.77 (define @t605 () (not (tptp.ssList @t602))) % 0.55/0.77 (define @t606 () (or @t295 @t605 @t604)) % 0.55/0.77 (define @t607 () (@list @t12 @t602)) % 0.55/0.77 (define @t608 () (forall @t607 @t606)) % 0.55/0.77 (define @t609 () (or @t251 @t592 @t608)) % 0.55/0.77 (define @t610 () (or @t592 @t608)) % 0.55/0.77 (define @t611 () (or @t605 @t604)) % 0.55/0.77 (define @t612 () (or @t295 @t611)) % 0.55/0.77 (define @t613 () (forall @t607 @t612)) % 0.55/0.77 (define @t614 () (@list @t602)) % 0.55/0.77 (define @t615 () (forall @t614 @t612)) % 0.55/0.77 (define @t616 () (forall @t614 @t611)) % 0.55/0.77 (define @t617 () (or @t295 @t616)) % 0.55/0.77 (define @t618 () (or @t333 @t67)) % 0.55/0.77 (define @t619 () (forall @t14 @t618)) % 0.55/0.77 (define @t620 () (or @t295 @t619)) % 0.55/0.77 (define @t621 () (forall @t16 @t620)) % 0.55/0.77 (define @t622 () (or @t592 @t621)) % 0.55/0.77 (define @t623 () (or @t592 @t620)) % 0.55/0.77 (define @t624 () (or @t295 @t592 @t619)) % 0.55/0.77 (define @t625 () (or @t592 @t619)) % 0.55/0.77 (define @t626 () (or @t592 @t618)) % 0.55/0.77 (define @t627 () (or @t333 @t592 @t67)) % 0.55/0.77 (define @t628 () (tptp.segmentP @t208 @t208)) % 0.55/0.77 (define @t629 () (or @t527 @t628)) % 0.55/0.77 (define @t630 () (@list false false)) % 0.55/0.77 (define @t631 () (not @t628)) % 0.55/0.77 (define @t632 () (or @t527 @t527 @t631 @t515 @t512 @t517)) % 0.55/0.77 (define @t633 () (@var "BOUND_VARIABLE_10656" $$unsorted)) % 0.55/0.77 (define @t634 () (and (= @t633 tptp.nil) @t196)) % 0.55/0.77 (define @t635 () (= tptp.nil (tptp.app @t2 @t633))) % 0.55/0.77 (define @t636 () (= @t635 @t634)) % 0.55/0.77 (define @t637 () (not (tptp.ssList @t633))) % 0.55/0.77 (define @t638 () (or @t203 @t637 @t636)) % 0.55/0.77 (define @t639 () (or @t637 @t636)) % 0.55/0.77 (define @t640 () (or @t203 @t639)) % 0.55/0.77 (define @t641 () (@list @t2 @t633)) % 0.55/0.77 (define @t642 () (forall @t641 @t640)) % 0.55/0.77 (define @t643 () (@list @t633)) % 0.55/0.77 (define @t644 () (forall @t643 @t640)) % 0.55/0.77 (define @t645 () (forall @t643 @t639)) % 0.55/0.77 (define @t646 () (or @t203 @t645)) % 0.55/0.77 (define @t647 () (= @t83 (and @t247 @t196))) % 0.55/0.77 (define @t648 () (forall @t7 (or @t251 @t647))) % 0.55/0.77 (define @t649 () (and @t213 (= @t209 tptp.nil))) % 0.55/0.77 (define @t650 () (= tptp.nil @t210)) % 0.55/0.77 (define @t651 () (= @t650 @t649)) % 0.55/0.77 (define @t652 () (or @t515 @t527 @t651)) % 0.55/0.77 (define @t653 () (forall @t641 (or @t203 @t637 (= @t635 (and (= tptp.nil @t633) @t196))))) % 0.55/0.77 (define @t654 () (@list @t209 @t208)) % 0.55/0.77 (define @t655 () (and @t213 (= tptp.nil @t209))) % 0.55/0.77 (define @t656 () (= @t650 @t655)) % 0.55/0.77 (define @t657 () (or @t515 @t527 @t656)) % 0.55/0.77 (define @t658 () (@list @t653)) % 0.55/0.77 (define @t659 () (= tptp.nil @t207)) % 0.55/0.77 (define @t660 () (and @t659 (= @t210 tptp.nil))) % 0.55/0.77 (define @t661 () (= @t212 @t660)) % 0.55/0.77 (define @t662 () (tptp.ssList @t210)) % 0.55/0.77 (define @t663 () (not @t662)) % 0.55/0.77 (define @t664 () (or @t663 @t512 @t661)) % 0.55/0.77 (define @t665 () (and @t659 @t650)) % 0.55/0.77 (define @t666 () (= @t212 @t665)) % 0.55/0.77 (define @t667 () (or @t663 @t512 @t666)) % 0.55/0.77 (define @t668 () (@var "BOUND_VARIABLE_9428" $$unsorted)) % 0.55/0.77 (define @t669 () (tptp.ssList (tptp.app @t2 @t668))) % 0.55/0.77 (define @t670 () (not (tptp.ssList @t668))) % 0.55/0.77 (define @t671 () (or @t670 @t669)) % 0.55/0.77 (define @t672 () (or @t203 @t671)) % 0.55/0.77 (define @t673 () (forall (@list @t2 @t668) @t672)) % 0.55/0.77 (define @t674 () (@list @t668)) % 0.55/0.77 (define @t675 () (forall @t674 @t672)) % 0.55/0.77 (define @t676 () (forall @t674 @t671)) % 0.55/0.77 (define @t677 () (or @t203 @t676)) % 0.55/0.77 (define @t678 () (forall @t7 (or @t251 @t50))) % 0.55/0.77 (define @t679 () (or @t515 @t527 @t662)) % 0.55/0.77 (define @t680 () (not @t518)) % 0.55/0.77 (define @t681 () (and @t212 @t213 @t680)) % 0.55/0.77 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.55/0.77 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.55/0.77 (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))))))))))) % 0.55/0.77 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.55/0.77 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.55/0.77 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.55/0.77 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.55/0.77 (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))))))))))))))))) % 0.55/0.77 (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)))))))))))))))) % 0.55/0.77 (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))))))))))))))))) % 0.55/0.77 (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))))))))))))))) % 0.55/0.77 (assume @p12 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.55/0.77 (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 @t37)))))))))))))))) % 0.55/0.77 (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) @t37))))))))))))) % 0.55/0.77 (assume @p15 @t40) % 0.55/0.77 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 0.55/0.77 (assume @p17 @t42) % 0.55/0.77 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 0.55/0.77 (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) @t43))))))))))) % 0.55/0.77 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 0.55/0.77 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 0.55/0.77 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 0.55/0.77 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 0.55/0.77 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 0.55/0.77 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 0.55/0.77 (assume @p26 @t53) % 0.55/0.77 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t54) (tptp.app @t44 @t2))))))))) % 0.55/0.77 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.55/0.77 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t56 @t55) @t3)))))) % 0.55/0.77 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 @t26) (tptp.leq @t2 @t12))))))))) % 0.55/0.77 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.55/0.77 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t55)))))) % 0.55/0.77 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t59 (not @t58))))))) % 0.55/0.77 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t59 @t35) @t60)))))))) % 0.55/0.77 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 @t58)))))) % 0.55/0.77 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t62))))))))) % 0.55/0.77 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t62))))))))) % 0.55/0.77 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.55/0.77 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.55/0.77 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.55/0.77 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.55/0.77 (assume @p42 (forall @t9 (=> @t17 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@t665 (not @t666)))) % 0.55/0.77 (step @p927 :rule chain_m_resolution :premises (@p926 @p831 @p924) :args (@t665 @t630 (@list @t212 @t666))) % 0.55/0.77 (step @p928 :rule cnf_and_pos :args (@t665 1)) % 0.55/0.77 (step @p929 :rule reordering :premises (@p928) :args ((or @t650 (not @t665)))) % 0.55/0.77 (step @p930 :rule chain_m_resolution :premises (@p929 @p927) :args (@t650 @t569 (@list @t665))) % 0.55/0.77 (step @p931 :rule cnf_equiv_pos1 :args (@t656)) % 0.55/0.77 (step @p932 :rule reordering :premises (@p931) :args ((or @t655 (not @t650) (not @t656)))) % 0.55/0.77 (step @p933 :rule chain_m_resolution :premises (@p932 @p930 @p882) :args (@t655 @t630 (@list @t650 @t656))) % 0.55/0.77 (step @p934 :rule cnf_and_pos :args (@t655 0)) % 0.55/0.77 (step @p935 :rule reordering :premises (@p934) :args ((or @t213 (not @t655)))) % 0.55/0.77 (step @p936 :rule chain_m_resolution :premises (@p935 @p933) :args (@t213 @t569 (@list @t655))) % 0.55/0.77 (step @p937 :rule cnf_equiv_pos1 :args (@t567)) % 0.55/0.77 (step @p938 :rule reordering :premises (@p937) :args ((or @t547 @t680 @t571))) % 0.55/0.77 (step @p939 :rule chain_m_resolution :premises (@p938 @p936 @p722) :args (@t680 @t630 (@list @t213 @t567))) % 0.55/0.77 (step @p940 :rule cnf_or_neg :args (@t215 1)) % 0.55/0.77 (step @p941 :rule chain_m_resolution :premises (@p940 @p936) :args (@t215 @t569 (@list @t213))) % 0.55/0.77 (step @p942 :rule chain_m_resolution :premises (@p678 @p677 @p941) :args ((not @t522) (@list true false) (@list @t523 @t215))) % 0.55/0.77 (step @p943 :rule bool-double-not-elim :args (@t520)) % 0.55/0.77 (step @p944 :rule nary_cong :premises (@p650 @p943) :args ((or @t522 (not @t521)))) % 0.55/0.77 (step @p945 :rule cnf_or_neg :args (@t522 0)) % 0.55/0.77 (step @p946 :rule eq_resolve :premises (@p945 @p944)) % 0.55/0.77 (step @p947 :rule reordering :premises (@p946) :args ((or @t520 @t522))) % 0.55/0.77 (step @p948 :rule chain_m_resolution :premises (@p947 @p942) :args (@t520 @t545 (@list @t522))) % 0.55/0.77 (step @p949 :rule refl :args (@t521)) % 0.55/0.77 (step @p950 :rule bool-double-not-elim :args (@t518)) % 0.55/0.77 (step @p951 :rule nary_cong :premises (@p648 @p670 @p950 @p949) :args ((or @t214 @t547 (not @t680) @t521))) % 0.55/0.77 (assume-push @p980 @t212) % 0.55/0.77 (assume-push @p981 @t213) % 0.55/0.77 (assume-push @p982 @t680) % 0.55/0.77 (step @p955 :rule false_intro :premises (@p939)) % 0.55/0.77 (step @p956 :rule refl :args (tptp.nil)) % 0.55/0.77 (step @p957 :rule symm :premises (@p831)) % 0.55/0.77 (step @p958 :rule trans :premises (@p957 @p936)) % 0.55/0.77 (step @p959 :rule cong :premises (@p958 @p956) :args (@t520)) % 0.55/0.77 (step @p960 :rule trans :premises (@p959 @p955)) % 0.55/0.77 (step @p961 :rule false_elim :premises (@p960)) % 0.55/0.77 (step-pop @p983 :rule scope :premises (@p961)) % 0.55/0.77 (step-pop @p984 :rule scope :premises (@p983)) % 0.55/0.77 (step-pop @p985 :rule scope :premises (@p984)) % 0.55/0.77 (step @p962 :rule process_scope :premises (@p985) :args (@t521)) % 0.55/0.77 (step @p966 :rule implies_elim :premises (@p962)) % 0.55/0.77 (step @p967 :rule cnf_and_neg :args (@t681)) % 0.55/0.77 (step @p968 :rule resolution :premises (@p967 @p966) :args (true @t681)) % 0.55/0.77 (step @p969 :rule eq_resolve :premises (@p968 @p951)) % 0.55/0.77 (step @p970 :rule reordering :premises (@p969) :args ((or @t214 @t521 @t518 @t547))) % 0.55/0.77 (step @p971 false :rule chain_m_resolution :premises (@p970 @p948 @p939 @p936 @p831) :args (false (@list false true false false) (@list @t520 @t518 @t213 @t212))) % 0.55/0.77 ) % 0.55/0.77 % SZS output end Proof % 0.55/0.77 % cvc5 exiting %------------------------------------------------------------------------------