%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC310+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 : n027.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 08:58:49 AM UTC 2026 % Result : Theorem 0.36s 0.78s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC310+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 : n027.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 19:40:21 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.78 % SZS status Theorem % 0.36/0.78 % SZS output start Proof % 0.36/0.78 ( % 0.36/0.78 (declare-sort $$unsorted 0) % 0.36/0.78 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.36/0.78 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.36/0.78 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.78 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.78 (declare-const tptp.nil $$unsorted) % 0.36/0.78 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.36/0.78 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.78 (define @t1 () (@var "V" $$unsorted)) % 0.36/0.78 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.78 (define @t3 () (= @t2 @t1)) % 0.36/0.78 (define @t4 () (not @t3)) % 0.36/0.78 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.36/0.78 (define @t6 () (tptp.ssItem @t1)) % 0.36/0.78 (define @t7 () (@list @t1)) % 0.36/0.78 (define @t8 () (tptp.ssItem @t2)) % 0.36/0.78 (define @t9 () (@list @t2)) % 0.36/0.78 (define @t10 () (@var "X" $$unsorted)) % 0.36/0.78 (define @t11 () (tptp.cons @t1 @t10)) % 0.36/0.78 (define @t12 () (@var "W" $$unsorted)) % 0.36/0.78 (define @t13 () (tptp.ssList @t10)) % 0.36/0.78 (define @t14 () (@list @t10)) % 0.36/0.78 (define @t15 () (tptp.ssList @t12)) % 0.36/0.78 (define @t16 () (@list @t12)) % 0.36/0.78 (define @t17 () (tptp.ssList @t2)) % 0.36/0.78 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.36/0.78 (define @t19 () (tptp.app @t1 @t12)) % 0.36/0.78 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.36/0.78 (define @t21 () (tptp.ssList @t1)) % 0.36/0.78 (define @t22 () (tptp.app @t12 @t1)) % 0.36/0.78 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.36/0.78 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.36/0.78 (define @t25 () (tptp.leq @t12 @t1)) % 0.36/0.78 (define @t26 () (tptp.leq @t1 @t12)) % 0.36/0.78 (define @t27 () (@var "Z" $$unsorted)) % 0.36/0.78 (define @t28 () (@var "Y" $$unsorted)) % 0.36/0.78 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.36/0.78 (define @t30 () (tptp.ssList @t27)) % 0.36/0.78 (define @t31 () (@list @t27)) % 0.36/0.78 (define @t32 () (tptp.ssList @t28)) % 0.36/0.78 (define @t33 () (@list @t28)) % 0.36/0.78 (define @t34 () (tptp.ssItem @t12)) % 0.36/0.78 (define @t35 () (tptp.lt @t1 @t12)) % 0.36/0.78 (define @t36 () (= @t1 @t12)) % 0.36/0.78 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.36/0.78 (define @t38 () (=> @t17 @t37)) % 0.36/0.78 (define @t39 () (forall @t9 @t38)) % 0.36/0.78 (define @t40 () (tptp.cons @t1 @t2)) % 0.36/0.78 (define @t41 () (tptp.ssList @t40)) % 0.36/0.78 (define @t42 () (forall @t7 (=> @t6 @t41))) % 0.36/0.78 (define @t43 () (=> @t17 @t42)) % 0.36/0.78 (define @t44 () (forall @t9 @t43)) % 0.36/0.78 (define @t45 () (tptp.ssList tptp.nil)) % 0.36/0.78 (define @t46 () (not (= @t40 @t2))) % 0.36/0.78 (define @t47 () (=> @t6 @t46)) % 0.36/0.78 (define @t48 () (forall @t7 @t47)) % 0.36/0.78 (define @t49 () (=> @t17 @t48)) % 0.36/0.78 (define @t50 () (forall @t9 @t49)) % 0.36/0.78 (define @t51 () (= @t1 @t2)) % 0.36/0.78 (define @t52 () (tptp.cons @t12 @t1)) % 0.36/0.78 (define @t53 () (= tptp.nil @t2)) % 0.36/0.78 (define @t54 () (tptp.hd @t2)) % 0.36/0.78 (define @t55 () (tptp.ssItem @t54)) % 0.36/0.78 (define @t56 () (not @t53)) % 0.36/0.78 (define @t57 () (=> @t56 @t55)) % 0.36/0.78 (define @t58 () (=> @t17 @t57)) % 0.36/0.78 (define @t59 () (forall @t9 @t58)) % 0.36/0.78 (define @t60 () (tptp.hd @t40)) % 0.36/0.78 (define @t61 () (=> @t6 (= @t60 @t1))) % 0.36/0.78 (define @t62 () (forall @t7 @t61)) % 0.36/0.78 (define @t63 () (=> @t17 @t62)) % 0.36/0.78 (define @t64 () (forall @t9 @t63)) % 0.36/0.78 (define @t65 () (tptp.tl @t2)) % 0.36/0.78 (define @t66 () (tptp.ssList @t65)) % 0.36/0.78 (define @t67 () (=> @t56 @t66)) % 0.36/0.78 (define @t68 () (=> @t17 @t67)) % 0.36/0.78 (define @t69 () (forall @t9 @t68)) % 0.36/0.78 (define @t70 () (tptp.tl @t40)) % 0.36/0.78 (define @t71 () (=> @t6 (= @t70 @t2))) % 0.36/0.78 (define @t72 () (forall @t7 @t71)) % 0.36/0.78 (define @t73 () (=> @t17 @t72)) % 0.36/0.78 (define @t74 () (forall @t9 @t73)) % 0.36/0.78 (define @t75 () (tptp.app @t2 @t1)) % 0.36/0.78 (define @t76 () (tptp.app @t1 @t2)) % 0.36/0.78 (define @t77 () (tptp.app tptp.nil @t2)) % 0.36/0.78 (define @t78 () (=> @t17 (= @t77 @t2))) % 0.36/0.78 (define @t79 () (forall @t9 @t78)) % 0.36/0.78 (define @t80 () (tptp.leq @t1 @t2)) % 0.36/0.78 (define @t81 () (tptp.leq @t2 @t1)) % 0.36/0.78 (define @t82 () (tptp.geq @t2 @t1)) % 0.36/0.78 (define @t83 () (tptp.lt @t1 @t2)) % 0.36/0.78 (define @t84 () (tptp.lt @t2 @t1)) % 0.36/0.78 (define @t85 () (tptp.lt @t2 @t12)) % 0.36/0.78 (define @t86 () (tptp.gt @t2 @t1)) % 0.36/0.78 (define @t87 () (tptp.memberP @t12 @t2)) % 0.36/0.78 (define @t88 () (tptp.app @t12 @t2)) % 0.36/0.78 (define @t89 () (tptp.cons @t2 tptp.nil)) % 0.36/0.78 (define @t90 () (tptp.hd @t1)) % 0.36/0.78 (define @t91 () (= tptp.nil @t1)) % 0.36/0.78 (define @t92 () (not @t91)) % 0.36/0.78 (define @t93 () (tptp.cons @t2 @t1)) % 0.36/0.78 (define @t94 () (tptp.tl @t1)) % 0.36/0.78 (define @t95 () (= @t12 @t2)) % 0.36/0.78 (define @t96 () (and @t91 @t53)) % 0.36/0.78 (define @t97 () (= tptp.nil @t75)) % 0.36/0.78 (define @t98 () (= @t97 @t96)) % 0.36/0.78 (define @t99 () (=> @t21 @t98)) % 0.36/0.78 (define @t100 () (forall @t7 @t99)) % 0.36/0.78 (define @t101 () (=> @t17 @t100)) % 0.36/0.78 (define @t102 () (forall @t9 @t101)) % 0.36/0.78 (define @t103 () (tptp.hd @t75)) % 0.36/0.78 (define @t104 () (=> @t56 (= @t103 @t54))) % 0.36/0.78 (define @t105 () (=> @t21 @t104)) % 0.36/0.78 (define @t106 () (forall @t7 @t105)) % 0.36/0.78 (define @t107 () (=> @t17 @t106)) % 0.36/0.78 (define @t108 () (forall @t9 @t107)) % 0.36/0.78 (define @t109 () (= (tptp.tl @t75) (tptp.app @t65 @t1))) % 0.36/0.78 (define @t110 () (=> @t56 @t109)) % 0.36/0.78 (define @t111 () (=> @t21 @t110)) % 0.36/0.78 (define @t112 () (forall @t7 @t111)) % 0.36/0.78 (define @t113 () (=> @t17 @t112)) % 0.36/0.78 (define @t114 () (forall @t9 @t113)) % 0.36/0.78 (define @t115 () (tptp.neq tptp.nil @t1)) % 0.36/0.78 (define @t116 () (@var "X4" $$unsorted)) % 0.36/0.78 (define @t117 () (= @t90 @t116)) % 0.36/0.78 (define @t118 () (@var "X3" $$unsorted)) % 0.36/0.78 (define @t119 () (tptp.cons @t116 tptp.nil)) % 0.36/0.78 (define @t120 () (tptp.ssItem @t116)) % 0.36/0.78 (define @t121 () (and @t120 (= @t119 @t118) @t117 @t115)) % 0.36/0.78 (define @t122 () (@list @t116)) % 0.36/0.78 (define @t123 () (exists @t122 @t121)) % 0.36/0.78 (define @t124 () (@var "X1" $$unsorted)) % 0.36/0.78 (define @t125 () (@var "X2" $$unsorted)) % 0.36/0.78 (define @t126 () (tptp.app @t125 @t118)) % 0.36/0.78 (define @t127 () (= @t94 @t125)) % 0.36/0.78 (define @t128 () (tptp.ssList @t118)) % 0.36/0.78 (define @t129 () (and @t128 @t127 (= @t126 @t124) @t123 @t115)) % 0.36/0.78 (define @t130 () (@list @t118)) % 0.36/0.78 (define @t131 () (exists @t130 @t129)) % 0.36/0.78 (define @t132 () (tptp.ssList @t125)) % 0.36/0.78 (define @t133 () (and @t132 @t131)) % 0.36/0.78 (define @t134 () (@list @t125)) % 0.36/0.78 (define @t135 () (exists @t134 @t133)) % 0.36/0.78 (define @t136 () (= @t2 @t124)) % 0.36/0.78 (define @t137 () (tptp.ssList @t124)) % 0.36/0.78 (define @t138 () (and @t137 @t136 @t135)) % 0.36/0.78 (define @t139 () (@list @t124)) % 0.36/0.78 (define @t140 () (exists @t139 @t138)) % 0.36/0.78 (define @t141 () (tptp.neq @t1 tptp.nil)) % 0.36/0.78 (define @t142 () (not @t141)) % 0.36/0.78 (define @t143 () (or @t142 @t140)) % 0.36/0.78 (define @t144 () (or @t92 @t53)) % 0.36/0.78 (define @t145 () (and @t144 @t143)) % 0.36/0.78 (define @t146 () (tptp.neq @t10 tptp.nil)) % 0.36/0.78 (define @t147 () (tptp.cons @t28 tptp.nil)) % 0.36/0.78 (define @t148 () (tptp.app @t27 @t147)) % 0.36/0.78 (define @t149 () (not (= @t148 @t12))) % 0.36/0.78 (define @t150 () (tptp.app @t147 @t27)) % 0.36/0.78 (define @t151 () (not (= @t150 @t10))) % 0.36/0.78 (define @t152 () (not @t30)) % 0.36/0.78 (define @t153 () (or @t152 @t151 @t149)) % 0.36/0.78 (define @t154 () (forall @t31 @t153)) % 0.36/0.78 (define @t155 () (tptp.ssItem @t28)) % 0.36/0.78 (define @t156 () (=> @t155 @t154)) % 0.36/0.78 (define @t157 () (forall @t33 @t156)) % 0.36/0.78 (define @t158 () (and @t157 @t146)) % 0.36/0.78 (define @t159 () (not (= tptp.nil @t12))) % 0.36/0.78 (define @t160 () (and @t159 (= tptp.nil @t10))) % 0.36/0.78 (define @t161 () (not (= @t2 @t12))) % 0.36/0.78 (define @t162 () (not (= @t1 @t10))) % 0.36/0.78 (define @t163 () (not @t13)) % 0.36/0.78 (define @t164 () (or @t163 @t162 @t161 @t160 @t158 @t145)) % 0.36/0.78 (define @t165 () (forall @t14 @t164)) % 0.36/0.78 (define @t166 () (=> @t15 @t165)) % 0.36/0.78 (define @t167 () (forall @t16 @t166)) % 0.36/0.78 (define @t168 () (=> @t21 @t167)) % 0.36/0.78 (define @t169 () (forall @t7 @t168)) % 0.36/0.78 (define @t170 () (=> @t17 @t169)) % 0.36/0.78 (define @t171 () (forall @t9 @t170)) % 0.36/0.78 (define @t172 () (not @t171)) % 0.36/0.78 (define @t173 () (@var "BOUND_VARIABLE_11262" $$unsorted)) % 0.36/0.78 (define @t174 () (tptp.neq @t173 tptp.nil)) % 0.36/0.78 (define @t175 () (@var "BOUND_VARIABLE_11264" $$unsorted)) % 0.36/0.78 (define @t176 () (tptp.cons @t175 tptp.nil)) % 0.36/0.78 (define @t177 () (@var "BOUND_VARIABLE_11266" $$unsorted)) % 0.36/0.78 (define @t178 () (and (or (not (tptp.ssItem @t175)) (not (tptp.ssList @t177)) (not (= @t173 (tptp.app @t176 @t177))) (not (= @t2 (tptp.app @t177 @t176)))) @t174)) % 0.36/0.78 (define @t179 () (= tptp.nil @t173)) % 0.36/0.78 (define @t180 () (= @t2 tptp.nil)) % 0.36/0.78 (define @t181 () (not @t180)) % 0.36/0.78 (define @t182 () (tptp.hd @t173)) % 0.36/0.78 (define @t183 () (tptp.cons @t182 tptp.nil)) % 0.36/0.78 (define @t184 () (tptp.tl @t173)) % 0.36/0.78 (define @t185 () (or (not @t174) (and (tptp.neq tptp.nil @t173) (tptp.ssItem @t182) (tptp.ssList @t183) (tptp.ssList @t184) @t17 (= @t2 (tptp.app @t184 @t183))))) % 0.36/0.78 (define @t186 () (not (tptp.ssList @t173))) % 0.36/0.78 (define @t187 () (not @t17)) % 0.36/0.78 (define @t188 () (@list @t2 @t173 @t175 @t177)) % 0.36/0.78 (define @t189 () (forall @t188 (or @t187 @t186 (and (or (not @t179) @t180) @t185) (and @t181 @t179) @t178))) % 0.36/0.78 (define @t190 () (@quantifiers_skolemize @t189 1)) % 0.36/0.78 (define @t191 () (= tptp.nil @t190)) % 0.36/0.78 (define @t192 () (@quantifiers_skolemize @t189 0)) % 0.36/0.78 (define @t193 () (= tptp.nil @t192)) % 0.36/0.78 (define @t194 () (not @t191)) % 0.36/0.78 (define @t195 () (or @t194 @t193)) % 0.36/0.78 (define @t196 () (not @t194)) % 0.36/0.78 (define @t197 () (= @t173 tptp.nil)) % 0.36/0.78 (define @t198 () (and @t181 @t197)) % 0.36/0.78 (define @t199 () (not @t197)) % 0.36/0.78 (define @t200 () (or @t199 @t180)) % 0.36/0.78 (define @t201 () (and @t200 @t185)) % 0.36/0.78 (define @t202 () (or @t187 @t186 @t201 @t198 @t178)) % 0.36/0.78 (define @t203 () (or @t186 @t201 @t198 @t178)) % 0.36/0.78 (define @t204 () (or @t187 @t203)) % 0.36/0.78 (define @t205 () (forall @t188 @t204)) % 0.36/0.78 (define @t206 () (@list @t173 @t175 @t177)) % 0.36/0.78 (define @t207 () (forall @t206 @t204)) % 0.36/0.78 (define @t208 () (forall @t206 @t203)) % 0.36/0.78 (define @t209 () (@var "BOUND_VARIABLE_11240" $$unsorted)) % 0.36/0.78 (define @t210 () (@var "BOUND_VARIABLE_11238" $$unsorted)) % 0.36/0.78 (define @t211 () (or @t187 @t208)) % 0.36/0.78 (define @t212 () (tptp.cons @t210 tptp.nil)) % 0.36/0.78 (define @t213 () (or (not (tptp.ssItem @t210)) (not (tptp.ssList @t209)) (not (= @t1 (tptp.app @t212 @t209))) (not (= @t2 (tptp.app @t209 @t212))))) % 0.36/0.78 (define @t214 () (and @t213 @t141)) % 0.36/0.78 (define @t215 () (= @t1 tptp.nil)) % 0.36/0.78 (define @t216 () (and @t181 @t215)) % 0.36/0.78 (define @t217 () (tptp.cons @t90 tptp.nil)) % 0.36/0.78 (define @t218 () (tptp.app @t94 @t217)) % 0.36/0.78 (define @t219 () (= @t2 @t218)) % 0.36/0.78 (define @t220 () (tptp.ssList @t94)) % 0.36/0.78 (define @t221 () (tptp.ssList @t217)) % 0.36/0.78 (define @t222 () (tptp.ssItem @t90)) % 0.36/0.78 (define @t223 () (or (not @t215) @t180)) % 0.36/0.78 (define @t224 () (and @t223 (or @t142 (and @t115 @t222 @t221 @t220 @t17 @t219)))) % 0.36/0.78 (define @t225 () (not @t21)) % 0.36/0.78 (define @t226 () (or @t225 @t224 @t216 @t214)) % 0.36/0.78 (define @t227 () (forall (@list @t1 @t210 @t209) @t226)) % 0.36/0.78 (define @t228 () (or @t187 @t227)) % 0.36/0.78 (define @t229 () (@list @t210 @t209)) % 0.36/0.78 (define @t230 () (forall @t229 @t226)) % 0.36/0.78 (define @t231 () (forall @t229 @t141)) % 0.36/0.78 (define @t232 () (forall @t229 @t213)) % 0.36/0.78 (define @t233 () (@var "BOUND_VARIABLE_11207" $$unsorted)) % 0.36/0.78 (define @t234 () (@var "BOUND_VARIABLE_11205" $$unsorted)) % 0.36/0.78 (define @t235 () (@list @t234 @t233)) % 0.36/0.78 (define @t236 () (and @t232 @t231)) % 0.36/0.78 (define @t237 () (forall @t229 @t214)) % 0.36/0.78 (define @t238 () (or @t225 @t224 @t216 @t237)) % 0.36/0.78 (define @t239 () (tptp.cons @t234 tptp.nil)) % 0.36/0.78 (define @t240 () (and (forall (@list @t234 @t233) (or (not (tptp.ssItem @t234)) (not (tptp.ssList @t233)) (not (= @t1 (tptp.app @t239 @t233))) (not (= @t2 (tptp.app @t233 @t239))))) @t141)) % 0.36/0.78 (define @t241 () (or @t225 @t224 @t216 @t240)) % 0.36/0.78 (define @t242 () (forall @t7 @t241)) % 0.36/0.78 (define @t243 () (or @t187 @t242)) % 0.36/0.78 (define @t244 () (or @t187 @t241)) % 0.36/0.78 (define @t245 () (or @t225 @t224 @t187 @t216 @t240)) % 0.36/0.78 (define @t246 () (or @t224 @t225 @t187 @t216 @t240)) % 0.36/0.78 (define @t247 () (@var "BOUND_VARIABLE_11174" $$unsorted)) % 0.36/0.78 (define @t248 () (@var "BOUND_VARIABLE_11172" $$unsorted)) % 0.36/0.78 (define @t249 () (@list @t248 @t247)) % 0.36/0.78 (define @t250 () (forall @t249 @t141)) % 0.36/0.78 (define @t251 () (tptp.cons @t248 tptp.nil)) % 0.36/0.78 (define @t252 () (tptp.app @t247 @t251)) % 0.36/0.78 (define @t253 () (not (= @t1 (tptp.app @t251 @t247)))) % 0.36/0.78 (define @t254 () (not (tptp.ssList @t247))) % 0.36/0.78 (define @t255 () (not (tptp.ssItem @t248))) % 0.36/0.78 (define @t256 () (or @t255 @t254 @t253 (not (= @t2 @t252)))) % 0.36/0.78 (define @t257 () (forall @t249 @t256)) % 0.36/0.78 (define @t258 () (@list @t248 @t247)) % 0.36/0.78 (define @t259 () (and @t257 @t250)) % 0.36/0.78 (define @t260 () (and @t256 @t141)) % 0.36/0.78 (define @t261 () (forall @t249 @t260)) % 0.36/0.78 (define @t262 () (or @t187 @t216 @t261)) % 0.36/0.78 (define @t263 () (or @t187 @t216 @t260)) % 0.36/0.78 (define @t264 () (not (= @t2 @t2))) % 0.36/0.78 (define @t265 () (or @t187 @t264 @t216 @t260)) % 0.36/0.78 (define @t266 () (or @t255 @t254 @t253 (not (= @t12 @t252)))) % 0.36/0.78 (define @t267 () (and @t266 @t141)) % 0.36/0.78 (define @t268 () (not (= @t12 tptp.nil))) % 0.36/0.78 (define @t269 () (and @t268 @t215)) % 0.36/0.78 (define @t270 () (not @t15)) % 0.36/0.78 (define @t271 () (or @t161 @t270 @t161 @t269 @t267)) % 0.36/0.78 (define @t272 () (or @t270 @t161 @t269 @t267)) % 0.36/0.78 (define @t273 () (forall @t16 @t272)) % 0.36/0.78 (define @t274 () (forall @t249 @t273)) % 0.36/0.78 (define @t275 () (forall (@list @t248 @t247 @t12) @t272)) % 0.36/0.78 (define @t276 () (forall (@list @t12 @t248 @t247) @t272)) % 0.36/0.78 (define @t277 () (forall @t249 @t272)) % 0.36/0.78 (define @t278 () (forall @t249 @t266)) % 0.36/0.78 (define @t279 () (@var "BOUND_VARIABLE_11141" $$unsorted)) % 0.36/0.78 (define @t280 () (@var "BOUND_VARIABLE_11139" $$unsorted)) % 0.36/0.78 (define @t281 () (@list @t280 @t279)) % 0.36/0.78 (define @t282 () (and @t278 @t250)) % 0.36/0.78 (define @t283 () (forall @t249 @t267)) % 0.36/0.78 (define @t284 () (or @t270 @t161 @t269 @t283)) % 0.36/0.78 (define @t285 () (tptp.cons @t280 tptp.nil)) % 0.36/0.78 (define @t286 () (and (forall (@list @t280 @t279) (or (not (tptp.ssItem @t280)) (not (tptp.ssList @t279)) (not (= @t1 (tptp.app @t285 @t279))) (not (= @t12 (tptp.app @t279 @t285))))) @t141)) % 0.36/0.78 (define @t287 () (or @t270 @t161 @t269 @t286)) % 0.36/0.78 (define @t288 () (forall @t16 @t287)) % 0.36/0.78 (define @t289 () (or @t224 @t225 @t288)) % 0.36/0.78 (define @t290 () (or @t224 @t225 @t287)) % 0.36/0.78 (define @t291 () (or @t270 @t161 @t224 @t225 @t269 @t286)) % 0.36/0.78 (define @t292 () (or @t161 @t224 @t225 @t269 @t286)) % 0.36/0.78 (define @t293 () (@var "BOUND_VARIABLE_11108" $$unsorted)) % 0.36/0.78 (define @t294 () (@var "BOUND_VARIABLE_11106" $$unsorted)) % 0.36/0.78 (define @t295 () (@list @t294 @t293)) % 0.36/0.78 (define @t296 () (forall @t295 @t141)) % 0.36/0.78 (define @t297 () (tptp.cons @t294 tptp.nil)) % 0.36/0.78 (define @t298 () (not (= @t12 (tptp.app @t293 @t297)))) % 0.36/0.78 (define @t299 () (tptp.app @t297 @t293)) % 0.36/0.78 (define @t300 () (not (tptp.ssList @t293))) % 0.36/0.78 (define @t301 () (not (tptp.ssItem @t294))) % 0.36/0.78 (define @t302 () (or @t301 @t300 (not (= @t1 @t299)) @t298)) % 0.36/0.78 (define @t303 () (forall @t295 @t302)) % 0.36/0.78 (define @t304 () (@list @t294 @t293)) % 0.36/0.78 (define @t305 () (and @t303 @t296)) % 0.36/0.78 (define @t306 () (and @t302 @t141)) % 0.36/0.78 (define @t307 () (forall @t295 @t306)) % 0.36/0.78 (define @t308 () (or @t225 @t269 @t307)) % 0.36/0.78 (define @t309 () (or @t225 @t269 @t306)) % 0.36/0.78 (define @t310 () (not (= @t1 @t1))) % 0.36/0.78 (define @t311 () (or @t225 @t310 @t269 @t306)) % 0.36/0.78 (define @t312 () (or @t301 @t300 (not (= @t10 @t299)) @t298)) % 0.36/0.78 (define @t313 () (and @t312 @t146)) % 0.36/0.78 (define @t314 () (and @t268 (= @t10 tptp.nil))) % 0.36/0.78 (define @t315 () (or @t162 @t163 @t162 @t314 @t313)) % 0.36/0.78 (define @t316 () (or @t163 @t162 @t314 @t313)) % 0.36/0.78 (define @t317 () (forall @t14 @t316)) % 0.36/0.78 (define @t318 () (forall @t295 @t317)) % 0.36/0.78 (define @t319 () (forall (@list @t294 @t293 @t10) @t316)) % 0.36/0.78 (define @t320 () (forall (@list @t10 @t294 @t293) @t316)) % 0.36/0.78 (define @t321 () (forall @t295 @t316)) % 0.36/0.78 (define @t322 () (forall @t295 @t146)) % 0.36/0.78 (define @t323 () (forall @t295 @t312)) % 0.36/0.78 (define @t324 () (@var "BOUND_VARIABLE_10975" $$unsorted)) % 0.36/0.78 (define @t325 () (and @t323 @t322)) % 0.36/0.78 (define @t326 () (forall @t295 @t313)) % 0.36/0.78 (define @t327 () (or @t163 @t162 @t314 @t326)) % 0.36/0.78 (define @t328 () (not (= @t12 (tptp.app @t324 @t147)))) % 0.36/0.78 (define @t329 () (not (= @t10 (tptp.app @t147 @t324)))) % 0.36/0.78 (define @t330 () (not (tptp.ssList @t324))) % 0.36/0.78 (define @t331 () (not @t155)) % 0.36/0.78 (define @t332 () (or @t331 @t330 @t329 @t328)) % 0.36/0.78 (define @t333 () (@list @t28 @t324)) % 0.36/0.78 (define @t334 () (and (forall @t333 @t332) @t146)) % 0.36/0.78 (define @t335 () (or @t163 @t162 @t314 @t334)) % 0.36/0.78 (define @t336 () (forall @t14 @t335)) % 0.36/0.78 (define @t337 () (or @t161 @t224 @t336)) % 0.36/0.78 (define @t338 () (or @t161 @t224 @t335)) % 0.36/0.78 (define @t339 () (or @t163 @t162 @t161 @t314 @t334 @t224)) % 0.36/0.78 (define @t340 () (not @t219)) % 0.36/0.78 (define @t341 () (not @t340)) % 0.36/0.78 (define @t342 () (not @t187)) % 0.36/0.78 (define @t343 () (not @t220)) % 0.36/0.78 (define @t344 () (not @t343)) % 0.36/0.78 (define @t345 () (not @t221)) % 0.36/0.78 (define @t346 () (not @t345)) % 0.36/0.78 (define @t347 () (not @t222)) % 0.36/0.78 (define @t348 () (not @t347)) % 0.36/0.78 (define @t349 () (not @t115)) % 0.36/0.78 (define @t350 () (not @t349)) % 0.36/0.78 (define @t351 () (and @t350 @t348 @t346 @t344 @t342 @t341)) % 0.36/0.78 (define @t352 () (or @t187 @t340)) % 0.36/0.78 (define @t353 () (or @t349 @t347 @t345 @t343 @t187 @t340)) % 0.36/0.78 (define @t354 () (or @t142 (not @t353))) % 0.36/0.78 (define @t355 () (and @t223 @t354)) % 0.36/0.78 (define @t356 () (or @t163 @t162 @t161 @t314 @t334 @t355)) % 0.36/0.78 (define @t357 () (or @t187 @t264 @t340)) % 0.36/0.78 (define @t358 () (not (= @t124 @t218))) % 0.36/0.78 (define @t359 () (not @t136)) % 0.36/0.78 (define @t360 () (not @t137)) % 0.36/0.78 (define @t361 () (or @t359 @t360 @t359 @t358)) % 0.36/0.78 (define @t362 () (or @t360 @t359 @t358)) % 0.36/0.78 (define @t363 () (forall @t139 @t362)) % 0.36/0.78 (define @t364 () (or @t349 @t347 @t345 @t343 @t363)) % 0.36/0.78 (define @t365 () (or @t349 @t347 @t345 @t343 @t362)) % 0.36/0.78 (define @t366 () (or @t360 @t359 @t349 @t347 @t345 @t343 @t358)) % 0.36/0.78 (define @t367 () (or @t349 @t347 @t345 @t343 @t358)) % 0.36/0.78 (define @t368 () (not @t367)) % 0.36/0.78 (define @t369 () (not @t368)) % 0.36/0.78 (define @t370 () (or @t360 @t359 @t369)) % 0.36/0.78 (define @t371 () (and @t137 @t136 @t368)) % 0.36/0.78 (define @t372 () (forall @t139 (not @t371))) % 0.36/0.78 (define @t373 () (not @t372)) % 0.36/0.78 (define @t374 () (or @t343 @t358)) % 0.36/0.78 (define @t375 () (not (= @t94 @t94))) % 0.36/0.78 (define @t376 () (or @t343 @t375 @t358)) % 0.36/0.78 (define @t377 () (not (= @t124 (tptp.app @t125 @t217)))) % 0.36/0.78 (define @t378 () (not @t127)) % 0.36/0.78 (define @t379 () (not @t132)) % 0.36/0.78 (define @t380 () (or @t378 @t379 @t378 @t377)) % 0.36/0.78 (define @t381 () (or @t379 @t378 @t377)) % 0.36/0.78 (define @t382 () (forall @t134 @t381)) % 0.36/0.78 (define @t383 () (or @t349 @t347 @t345 @t382)) % 0.36/0.78 (define @t384 () (or @t349 @t347 @t345 @t381)) % 0.36/0.78 (define @t385 () (or @t379 @t378 @t349 @t347 @t345 @t377)) % 0.36/0.78 (define @t386 () (or @t378 @t349 @t347 @t345 @t377)) % 0.36/0.78 (define @t387 () (not @t386)) % 0.36/0.78 (define @t388 () (and @t132 @t387)) % 0.36/0.78 (define @t389 () (forall @t134 (not @t388))) % 0.36/0.78 (define @t390 () (not @t389)) % 0.36/0.78 (define @t391 () (or @t345 @t377)) % 0.36/0.78 (define @t392 () (not (= @t217 @t217))) % 0.36/0.78 (define @t393 () (or @t345 @t377 @t392)) % 0.36/0.78 (define @t394 () (not (= @t118 @t217))) % 0.36/0.78 (define @t395 () (= @t124 @t126)) % 0.36/0.78 (define @t396 () (not @t395)) % 0.36/0.78 (define @t397 () (not @t128)) % 0.36/0.78 (define @t398 () (or @t394 @t397 @t396 @t394)) % 0.36/0.78 (define @t399 () (or @t397 @t396 @t394)) % 0.36/0.78 (define @t400 () (forall @t130 @t399)) % 0.36/0.78 (define @t401 () (or @t378 @t349 @t347 @t400)) % 0.36/0.78 (define @t402 () (or @t378 @t349 @t347 @t399)) % 0.36/0.78 (define @t403 () (or @t397 @t378 @t396 @t349 @t347 @t394)) % 0.36/0.78 (define @t404 () (or @t349 @t347 @t394)) % 0.36/0.78 (define @t405 () (not @t404)) % 0.36/0.78 (define @t406 () (not @t405)) % 0.36/0.78 (define @t407 () (or @t397 @t378 @t396 @t406 @t349)) % 0.36/0.78 (define @t408 () (and @t128 @t127 @t395 @t405 @t115)) % 0.36/0.78 (define @t409 () (forall @t130 (not @t408))) % 0.36/0.78 (define @t410 () (not @t409)) % 0.36/0.78 (define @t411 () (or @t347 @t394)) % 0.36/0.78 (define @t412 () (not (= @t90 @t90))) % 0.36/0.78 (define @t413 () (or @t347 @t394 @t412)) % 0.36/0.78 (define @t414 () (not @t117)) % 0.36/0.78 (define @t415 () (= @t118 @t119)) % 0.36/0.78 (define @t416 () (not @t415)) % 0.36/0.78 (define @t417 () (not @t120)) % 0.36/0.78 (define @t418 () (or @t414 @t417 @t416 @t414)) % 0.36/0.78 (define @t419 () (or @t417 @t416 @t414)) % 0.36/0.78 (define @t420 () (forall @t122 @t419)) % 0.36/0.78 (define @t421 () (or @t349 @t420)) % 0.36/0.78 (define @t422 () (or @t349 @t419)) % 0.36/0.78 (define @t423 () (or @t417 @t416 @t414 @t349)) % 0.36/0.78 (define @t424 () (and @t120 @t415 @t117 @t115)) % 0.36/0.78 (define @t425 () (forall @t122 (not @t424))) % 0.36/0.78 (define @t426 () (not @t425)) % 0.36/0.78 (define @t427 () (or @t330 @t329 @t328)) % 0.36/0.78 (define @t428 () (or @t331 @t427)) % 0.36/0.78 (define @t429 () (forall @t333 @t428)) % 0.36/0.78 (define @t430 () (@list @t324)) % 0.36/0.78 (define @t431 () (forall @t430 @t428)) % 0.36/0.78 (define @t432 () (forall @t430 @t427)) % 0.36/0.78 (define @t433 () (or @t331 @t432)) % 0.36/0.78 (define @t434 () (forall @t31 (or @t152 (not (= @t10 @t150)) (not (= @t12 @t148))))) % 0.36/0.78 (define @t435 () (tptp.neq @t190 tptp.nil)) % 0.36/0.78 (define @t436 () (@quantifiers_skolemize @t189 2)) % 0.36/0.78 (define @t437 () (tptp.cons @t436 tptp.nil)) % 0.36/0.78 (define @t438 () (@quantifiers_skolemize @t189 3)) % 0.36/0.78 (define @t439 () (tptp.app @t438 @t437)) % 0.36/0.78 (define @t440 () (= @t192 @t439)) % 0.36/0.78 (define @t441 () (not @t440)) % 0.36/0.78 (define @t442 () (tptp.app @t437 @t438)) % 0.36/0.78 (define @t443 () (= @t190 @t442)) % 0.36/0.78 (define @t444 () (not @t443)) % 0.36/0.78 (define @t445 () (tptp.ssList @t438)) % 0.36/0.78 (define @t446 () (not @t445)) % 0.36/0.78 (define @t447 () (tptp.ssItem @t436)) % 0.36/0.78 (define @t448 () (not @t447)) % 0.36/0.78 (define @t449 () (or @t448 @t446 @t444 @t441)) % 0.36/0.78 (define @t450 () (and @t449 @t435)) % 0.36/0.78 (define @t451 () (not @t193)) % 0.36/0.78 (define @t452 () (and @t451 @t191)) % 0.36/0.78 (define @t453 () (tptp.hd @t190)) % 0.36/0.78 (define @t454 () (tptp.cons @t453 tptp.nil)) % 0.36/0.78 (define @t455 () (tptp.tl @t190)) % 0.36/0.78 (define @t456 () (= @t192 (tptp.app @t455 @t454))) % 0.36/0.78 (define @t457 () (tptp.ssList @t192)) % 0.36/0.78 (define @t458 () (tptp.ssList @t455)) % 0.36/0.78 (define @t459 () (tptp.ssList @t454)) % 0.36/0.78 (define @t460 () (tptp.ssItem @t453)) % 0.36/0.78 (define @t461 () (tptp.neq tptp.nil @t190)) % 0.36/0.78 (define @t462 () (and @t461 @t460 @t459 @t458 @t457 @t456)) % 0.36/0.78 (define @t463 () (not @t435)) % 0.36/0.78 (define @t464 () (or @t463 @t462)) % 0.36/0.78 (define @t465 () (and @t195 @t464)) % 0.36/0.78 (define @t466 () (tptp.ssList @t190)) % 0.36/0.78 (define @t467 () (not @t466)) % 0.36/0.78 (define @t468 () (not @t457)) % 0.36/0.78 (define @t469 () (or @t468 @t467 @t465 @t452 @t450)) % 0.36/0.78 (define @t470 () (not @t469)) % 0.36/0.78 (define @t471 () (not @t189)) % 0.36/0.78 (define @t472 () (= @t192 tptp.nil)) % 0.36/0.78 (define @t473 () (not @t472)) % 0.36/0.78 (define @t474 () (and @t473 @t191)) % 0.36/0.78 (define @t475 () (or @t194 @t472)) % 0.36/0.78 (define @t476 () (and @t475 @t464)) % 0.36/0.78 (define @t477 () (or @t468 @t467 @t476 @t474 @t450)) % 0.36/0.78 (define @t478 () (not @t477)) % 0.36/0.78 (define @t479 () (@list true)) % 0.36/0.78 (define @t480 () (@list @t469)) % 0.36/0.78 (define @t481 () (or @t187 @t180 @t55)) % 0.36/0.78 (define @t482 () (not @t181)) % 0.36/0.78 (define @t483 () (=> @t181 @t55)) % 0.36/0.78 (define @t484 () (= @t190 tptp.nil)) % 0.36/0.78 (define @t485 () (or @t467 @t484 @t460)) % 0.36/0.78 (define @t486 () (forall @t9 @t481)) % 0.36/0.78 (define @t487 () (@list @t190)) % 0.36/0.78 (define @t488 () (or @t467 @t191 @t460)) % 0.36/0.78 (define @t489 () (@list false)) % 0.36/0.78 (define @t490 () (or @t187 @t180 @t66)) % 0.36/0.78 (define @t491 () (=> @t181 @t66)) % 0.36/0.78 (define @t492 () (or @t467 @t484 @t458)) % 0.36/0.78 (define @t493 () (forall @t9 @t490)) % 0.36/0.78 (define @t494 () (or @t467 @t191 @t458)) % 0.36/0.78 (define @t495 () (@var "BOUND_VARIABLE_9137" $$unsorted)) % 0.36/0.78 (define @t496 () (= (tptp.neq @t2 @t495) (not (= @t2 @t495)))) % 0.36/0.78 (define @t497 () (not (tptp.ssList @t495))) % 0.36/0.78 (define @t498 () (or @t187 @t497 @t496)) % 0.36/0.78 (define @t499 () (or @t497 @t496)) % 0.36/0.78 (define @t500 () (or @t187 @t499)) % 0.36/0.78 (define @t501 () (@list @t2 @t495)) % 0.36/0.78 (define @t502 () (forall @t501 @t500)) % 0.36/0.78 (define @t503 () (@list @t495)) % 0.36/0.78 (define @t504 () (forall @t503 @t500)) % 0.36/0.78 (define @t505 () (forall @t503 @t499)) % 0.36/0.78 (define @t506 () (@list @t1)) % 0.36/0.78 (define @t507 () (or @t187 @t505)) % 0.36/0.78 (define @t508 () (forall @t7 (or @t225 @t5))) % 0.36/0.78 (define @t509 () (not @t45)) % 0.36/0.78 (define @t510 () (or @t509 @t467 (= @t461 @t194))) % 0.36/0.78 (define @t511 () (forall @t501 @t498)) % 0.36/0.78 (define @t512 () (= @t194 @t461)) % 0.36/0.78 (define @t513 () (or @t509 @t467 @t512)) % 0.36/0.78 (define @t514 () (@list false false false)) % 0.36/0.78 (define @t515 () (not @t512)) % 0.36/0.78 (define @t516 () (not @t449)) % 0.36/0.78 (define @t517 () (@var "BOUND_VARIABLE_9158" $$unsorted)) % 0.36/0.78 (define @t518 () (tptp.ssList (tptp.cons @t517 @t2))) % 0.36/0.78 (define @t519 () (not (tptp.ssItem @t517))) % 0.36/0.78 (define @t520 () (or @t519 @t518)) % 0.36/0.78 (define @t521 () (or @t187 @t520)) % 0.36/0.78 (define @t522 () (forall (@list @t2 @t517) @t521)) % 0.36/0.78 (define @t523 () (@list @t517)) % 0.36/0.78 (define @t524 () (forall @t523 @t521)) % 0.36/0.78 (define @t525 () (forall @t523 @t520)) % 0.36/0.78 (define @t526 () (or @t187 @t525)) % 0.36/0.78 (define @t527 () (not @t6)) % 0.36/0.78 (define @t528 () (forall @t7 (or @t527 @t41))) % 0.36/0.78 (define @t529 () (@list tptp.nil @t436)) % 0.36/0.78 (define @t530 () (tptp.ssList @t437)) % 0.36/0.78 (define @t531 () (or @t509 @t448 @t530)) % 0.36/0.78 (define @t532 () (@var "BOUND_VARIABLE_9181" $$unsorted)) % 0.36/0.78 (define @t533 () (not (= @t2 (tptp.cons @t532 @t2)))) % 0.36/0.78 (define @t534 () (not (tptp.ssItem @t532))) % 0.36/0.78 (define @t535 () (or @t534 @t533)) % 0.36/0.78 (define @t536 () (or @t187 @t535)) % 0.36/0.78 (define @t537 () (forall (@list @t2 @t532) @t536)) % 0.36/0.78 (define @t538 () (@list @t532)) % 0.36/0.78 (define @t539 () (forall @t538 @t536)) % 0.36/0.78 (define @t540 () (forall @t538 @t535)) % 0.36/0.78 (define @t541 () (or @t187 @t540)) % 0.36/0.78 (define @t542 () (not (= @t2 @t40))) % 0.36/0.78 (define @t543 () (forall @t7 (or @t527 @t542))) % 0.36/0.78 (define @t544 () (= tptp.nil @t437)) % 0.36/0.78 (define @t545 () (not @t544)) % 0.36/0.78 (define @t546 () (or @t509 @t448 @t545)) % 0.36/0.78 (define @t547 () (@var "BOUND_VARIABLE_9352" $$unsorted)) % 0.36/0.78 (define @t548 () (= @t547 (tptp.hd (tptp.cons @t547 @t2)))) % 0.36/0.78 (define @t549 () (not (tptp.ssItem @t547))) % 0.36/0.78 (define @t550 () (or @t549 @t548)) % 0.36/0.78 (define @t551 () (or @t187 @t550)) % 0.36/0.78 (define @t552 () (forall (@list @t2 @t547) @t551)) % 0.36/0.78 (define @t553 () (@list @t547)) % 0.36/0.78 (define @t554 () (forall @t553 @t551)) % 0.36/0.78 (define @t555 () (forall @t553 @t550)) % 0.36/0.78 (define @t556 () (or @t187 @t555)) % 0.36/0.78 (define @t557 () (= @t1 @t60)) % 0.36/0.78 (define @t558 () (forall @t7 (or @t527 @t557))) % 0.36/0.78 (define @t559 () (tptp.hd @t437)) % 0.36/0.78 (define @t560 () (= @t436 @t559)) % 0.36/0.78 (define @t561 () (or @t509 @t448 @t560)) % 0.36/0.78 (define @t562 () (@var "BOUND_VARIABLE_9382" $$unsorted)) % 0.36/0.78 (define @t563 () (= @t2 (tptp.tl (tptp.cons @t562 @t2)))) % 0.36/0.78 (define @t564 () (not (tptp.ssItem @t562))) % 0.36/0.78 (define @t565 () (or @t564 @t563)) % 0.36/0.78 (define @t566 () (or @t187 @t565)) % 0.36/0.78 (define @t567 () (forall (@list @t2 @t562) @t566)) % 0.36/0.78 (define @t568 () (@list @t562)) % 0.36/0.78 (define @t569 () (forall @t568 @t566)) % 0.36/0.78 (define @t570 () (forall @t568 @t565)) % 0.36/0.78 (define @t571 () (or @t187 @t570)) % 0.36/0.78 (define @t572 () (= @t2 @t70)) % 0.36/0.78 (define @t573 () (forall @t7 (or @t527 @t572))) % 0.36/0.78 (define @t574 () (tptp.tl @t437)) % 0.36/0.78 (define @t575 () (= tptp.nil @t574)) % 0.36/0.78 (define @t576 () (or @t509 @t448 @t575)) % 0.36/0.78 (define @t577 () (= @t2 @t77)) % 0.36/0.78 (define @t578 () (tptp.app tptp.nil @t438)) % 0.36/0.78 (define @t579 () (= @t438 @t578)) % 0.36/0.78 (define @t580 () (or @t446 @t579)) % 0.36/0.78 (define @t581 () (@var "BOUND_VARIABLE_10670" $$unsorted)) % 0.36/0.78 (define @t582 () (= @t54 (tptp.hd (tptp.app @t2 @t581)))) % 0.36/0.78 (define @t583 () (not (tptp.ssList @t581))) % 0.36/0.78 (define @t584 () (or @t187 @t180 @t583 @t582)) % 0.36/0.78 (define @t585 () (or @t583 @t582)) % 0.36/0.78 (define @t586 () (or @t187 @t180 @t585)) % 0.36/0.78 (define @t587 () (@list @t2 @t581)) % 0.36/0.78 (define @t588 () (forall @t587 @t586)) % 0.36/0.78 (define @t589 () (@list @t581)) % 0.36/0.78 (define @t590 () (forall @t589 @t586)) % 0.36/0.78 (define @t591 () (forall @t589 @t585)) % 0.36/0.78 (define @t592 () (or @t187 @t180 @t591)) % 0.36/0.78 (define @t593 () (= @t54 @t103)) % 0.36/0.78 (define @t594 () (or @t225 @t593)) % 0.36/0.78 (define @t595 () (forall @t7 @t594)) % 0.36/0.78 (define @t596 () (or @t187 @t180 @t595)) % 0.36/0.78 (define @t597 () (or @t180 @t595)) % 0.36/0.78 (define @t598 () (or @t180 @t594)) % 0.36/0.78 (define @t599 () (or @t225 @t180 @t593)) % 0.36/0.78 (define @t600 () (=> @t181 @t593)) % 0.36/0.78 (define @t601 () (tptp.hd @t442)) % 0.36/0.78 (define @t602 () (= @t559 @t601)) % 0.36/0.78 (define @t603 () (not @t530)) % 0.36/0.78 (define @t604 () (= @t437 tptp.nil)) % 0.36/0.78 (define @t605 () (or @t603 @t604 @t446 @t602)) % 0.36/0.78 (define @t606 () (forall @t587 @t584)) % 0.36/0.78 (define @t607 () (@list @t437 @t438)) % 0.36/0.78 (define @t608 () (or @t603 @t544 @t446 @t602)) % 0.36/0.78 (define @t609 () (@var "BOUND_VARIABLE_10697" $$unsorted)) % 0.36/0.78 (define @t610 () (= (tptp.tl (tptp.app @t2 @t609)) (tptp.app @t65 @t609))) % 0.36/0.78 (define @t611 () (not (tptp.ssList @t609))) % 0.36/0.78 (define @t612 () (or @t187 @t180 @t611 @t610)) % 0.36/0.78 (define @t613 () (or @t611 @t610)) % 0.36/0.78 (define @t614 () (or @t187 @t180 @t613)) % 0.36/0.78 (define @t615 () (@list @t2 @t609)) % 0.36/0.78 (define @t616 () (forall @t615 @t614)) % 0.36/0.78 (define @t617 () (@list @t609)) % 0.36/0.78 (define @t618 () (forall @t617 @t614)) % 0.36/0.78 (define @t619 () (forall @t617 @t613)) % 0.36/0.78 (define @t620 () (or @t187 @t180 @t619)) % 0.36/0.78 (define @t621 () (or @t225 @t109)) % 0.36/0.78 (define @t622 () (forall @t7 @t621)) % 0.36/0.78 (define @t623 () (or @t187 @t180 @t622)) % 0.36/0.78 (define @t624 () (or @t180 @t622)) % 0.36/0.78 (define @t625 () (or @t180 @t621)) % 0.36/0.78 (define @t626 () (or @t225 @t180 @t109)) % 0.36/0.78 (define @t627 () (=> @t181 @t109)) % 0.36/0.78 (define @t628 () (tptp.tl @t442)) % 0.36/0.78 (define @t629 () (= @t628 (tptp.app @t574 @t438))) % 0.36/0.78 (define @t630 () (or @t603 @t604 @t446 @t629)) % 0.36/0.78 (define @t631 () (forall @t615 @t612)) % 0.36/0.78 (define @t632 () (or @t603 @t544 @t446 @t629)) % 0.36/0.78 (define @t633 () (and @t443 @t530 @t560 @t602)) % 0.36/0.78 (define @t634 () (not @t602)) % 0.36/0.78 (define @t635 () (not @t560)) % 0.36/0.78 (define @t636 () (and @t443 @t440 @t560 @t575 @t579 @t602 @t629)) % 0.36/0.78 (define @t637 () (@list false true)) % 0.36/0.78 (define @t638 () (@list true false)) % 0.36/0.78 (define @t639 () (@list @t449)) % 0.36/0.78 (define @t640 () (@var "BOUND_VARIABLE_10630" $$unsorted)) % 0.36/0.78 (define @t641 () (and (= @t640 tptp.nil) @t180)) % 0.36/0.78 (define @t642 () (= tptp.nil (tptp.app @t2 @t640))) % 0.36/0.78 (define @t643 () (= @t642 @t641)) % 0.36/0.78 (define @t644 () (not (tptp.ssList @t640))) % 0.36/0.78 (define @t645 () (or @t187 @t644 @t643)) % 0.36/0.78 (define @t646 () (or @t644 @t643)) % 0.36/0.78 (define @t647 () (or @t187 @t646)) % 0.36/0.78 (define @t648 () (@list @t2 @t640)) % 0.36/0.78 (define @t649 () (forall @t648 @t647)) % 0.36/0.78 (define @t650 () (@list @t640)) % 0.36/0.78 (define @t651 () (forall @t650 @t647)) % 0.36/0.78 (define @t652 () (forall @t650 @t646)) % 0.36/0.78 (define @t653 () (or @t187 @t652)) % 0.36/0.78 (define @t654 () (= @t97 (and @t215 @t180))) % 0.36/0.78 (define @t655 () (forall @t7 (or @t225 @t654))) % 0.36/0.78 (define @t656 () (= tptp.nil @t438)) % 0.36/0.78 (define @t657 () (and @t656 @t604)) % 0.36/0.78 (define @t658 () (= tptp.nil @t442)) % 0.36/0.78 (define @t659 () (= @t658 @t657)) % 0.36/0.78 (define @t660 () (or @t603 @t446 @t659)) % 0.36/0.78 (define @t661 () (forall @t648 (or @t187 @t644 (= @t642 (and (= tptp.nil @t640) @t180))))) % 0.36/0.78 (define @t662 () (and @t656 @t544)) % 0.36/0.78 (define @t663 () (= @t658 @t662)) % 0.36/0.78 (define @t664 () (or @t603 @t446 @t663)) % 0.36/0.78 (define @t665 () (not @t662)) % 0.36/0.78 (define @t666 () (not @t658)) % 0.36/0.78 (define @t667 () (and @t191 @t443)) % 0.36/0.78 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.36/0.78 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.36/0.78 (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))))))))))) % 0.36/0.78 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.36/0.78 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.36/0.78 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.36/0.78 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.36/0.78 (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))))))))))))))))) % 0.36/0.78 (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)))))))))))))))) % 0.36/0.78 (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))))))))))))))))) % 0.36/0.78 (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))))))))))))))) % 0.36/0.78 (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))))))))))))))) % 0.36/0.78 (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)))))))))))))))) % 0.36/0.78 (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))))))))))))) % 0.36/0.78 (assume @p15 @t39) % 0.36/0.78 (assume @p16 @t44) % 0.36/0.78 (assume @p17 @t45) % 0.36/0.78 (assume @p18 @t50) % 0.36/0.78 (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) @t51))))))))))) % 0.36/0.78 (assume @p20 (forall @t9 (=> @t17 (or @t53 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t52 @t2))))))))) % 0.36/0.78 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.36/0.78 (assume @p22 @t59) % 0.36/0.78 (assume @p23 @t64) % 0.36/0.78 (assume @p24 @t69) % 0.36/0.78 (assume @p25 @t74) % 0.36/0.78 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t75)))))) % 0.36/0.78 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t76) (tptp.app @t52 @t2))))))))) % 0.36/0.78 (assume @p28 @t79) % 0.36/0.78 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t81 @t80) @t3)))))) % 0.36/0.78 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t81 @t26) (tptp.leq @t2 @t12))))))))) % 0.36/0.78 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.36/0.78 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t82 @t80)))))) % 0.36/0.78 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (not @t83))))))) % 0.36/0.78 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t84 @t35) @t85)))))))) % 0.36/0.78 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t86 @t83)))))) % 0.36/0.78 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t87))))))))) % 0.36/0.78 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t87))))))))) % 0.36/0.78 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.36/0.78 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.36/0.78 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.36/0.78 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.36/0.78 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.36/0.78 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.36/0.78 (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)))))))))))) % 0.36/0.78 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.36/0.78 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t53)))) % 0.36/0.78 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.36/0.78 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.36/0.78 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.36/0.78 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t88 @t1))))))))) % 0.36/0.78 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.36/0.78 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t53)))) % 0.36/0.78 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.36/0.78 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.36/0.78 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.36/0.78 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t88 @t10) @t1))))))))))) % 0.36/0.78 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.36/0.78 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t53)))) % 0.36/0.78 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t89)))) % 0.36/0.78 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.36/0.78 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t89)))) % 0.36/0.78 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.36/0.78 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t89)))) % 0.36/0.78 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.36/0.78 (assume @p65 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% 0.36/0.78 (step @p1130 :rule trans :premises (@p1201 @p1202)) % 0.36/0.78 (step-pop @p1205 :rule scope :premises (@p1130)) % 0.36/0.78 (step-pop @p1206 :rule scope :premises (@p1205)) % 0.36/0.78 (step @p1131 :rule process_scope :premises (@p1206) :args (@t658)) % 0.36/0.78 (step @p1134 :rule and_intro :premises (@p1202 @p1201)) % 0.36/0.78 (step @p1135 :rule modus_ponens :premises (@p1134 @p1131)) % 0.36/0.78 (step-pop @p1207 :rule scope :premises (@p1135)) % 0.36/0.78 (step-pop @p1208 :rule scope :premises (@p1207)) % 0.36/0.78 (step @p1136 :rule process_scope :premises (@p1208) :args (@t658)) % 0.36/0.78 (step @p1139 :rule implies_elim :premises (@p1136)) % 0.36/0.78 (step @p1140 :rule cnf_and_neg :args (@t667)) % 0.36/0.78 (step @p1141 :rule resolution :premises (@p1140 @p1139) :args (true @t667)) % 0.36/0.78 (step @p1142 false :rule chain_m_resolution :premises (@p1141 @p1125 @p1065 @p1050) :args (false (@list true false false) (@list @t658 @t443 @t191))) % 0.36/0.78 ) % 0.36/0.78 % SZS output end Proof % 0.36/0.78 % cvc5 exiting %------------------------------------------------------------------------------