%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC339+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 : n022.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 08:58:55 AM UTC 2026 % Result : Theorem 0.53s 0.75s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC339+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 % 0.18/0.34 % Computer : n022.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 19:41:53 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.75 % SZS status Theorem % 0.53/0.75 % SZS output start Proof % 0.53/0.75 ( % 0.53/0.75 (declare-sort $$unsorted 0) % 0.53/0.75 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.53/0.75 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.53/0.75 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.75 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.75 (declare-const tptp.nil $$unsorted) % 0.53/0.75 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.53/0.75 (define @t1 () (@var "V" $$unsorted)) % 0.53/0.75 (define @t2 () (@var "U" $$unsorted)) % 0.53/0.75 (define @t3 () (= @t2 @t1)) % 0.53/0.75 (define @t4 () (not @t3)) % 0.53/0.75 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.53/0.75 (define @t6 () (tptp.ssItem @t1)) % 0.53/0.75 (define @t7 () (@list @t1)) % 0.53/0.75 (define @t8 () (tptp.ssItem @t2)) % 0.53/0.75 (define @t9 () (@list @t2)) % 0.53/0.75 (define @t10 () (@var "X" $$unsorted)) % 0.53/0.75 (define @t11 () (tptp.cons @t1 @t10)) % 0.53/0.75 (define @t12 () (@var "W" $$unsorted)) % 0.53/0.75 (define @t13 () (tptp.ssList @t10)) % 0.53/0.75 (define @t14 () (@list @t10)) % 0.53/0.75 (define @t15 () (tptp.ssList @t12)) % 0.53/0.75 (define @t16 () (@list @t12)) % 0.53/0.75 (define @t17 () (tptp.ssList @t2)) % 0.53/0.75 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.53/0.75 (define @t19 () (tptp.app @t1 @t12)) % 0.53/0.75 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.53/0.75 (define @t21 () (tptp.ssList @t1)) % 0.53/0.75 (define @t22 () (tptp.app @t12 @t1)) % 0.53/0.75 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.53/0.75 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.53/0.75 (define @t25 () (tptp.leq @t12 @t1)) % 0.53/0.75 (define @t26 () (tptp.leq @t1 @t12)) % 0.53/0.75 (define @t27 () (@var "Z" $$unsorted)) % 0.53/0.75 (define @t28 () (@var "Y" $$unsorted)) % 0.53/0.75 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.53/0.75 (define @t30 () (tptp.ssList @t27)) % 0.53/0.75 (define @t31 () (@list @t27)) % 0.53/0.75 (define @t32 () (tptp.ssList @t28)) % 0.53/0.75 (define @t33 () (@list @t28)) % 0.53/0.75 (define @t34 () (tptp.ssItem @t12)) % 0.53/0.75 (define @t35 () (tptp.lt @t1 @t12)) % 0.53/0.75 (define @t36 () (tptp.totalorderedP @t2)) % 0.53/0.75 (define @t37 () (= @t1 @t12)) % 0.53/0.75 (define @t38 () (tptp.cons @t1 @t2)) % 0.53/0.75 (define @t39 () (= @t1 @t2)) % 0.53/0.75 (define @t40 () (tptp.cons @t12 @t1)) % 0.53/0.75 (define @t41 () (= tptp.nil @t2)) % 0.53/0.75 (define @t42 () (tptp.hd @t2)) % 0.53/0.75 (define @t43 () (not @t41)) % 0.53/0.75 (define @t44 () (tptp.tl @t2)) % 0.53/0.75 (define @t45 () (tptp.app @t2 @t1)) % 0.53/0.75 (define @t46 () (tptp.app @t1 @t2)) % 0.53/0.75 (define @t47 () (tptp.leq @t1 @t2)) % 0.53/0.75 (define @t48 () (tptp.leq @t2 @t1)) % 0.53/0.75 (define @t49 () (tptp.geq @t2 @t1)) % 0.53/0.75 (define @t50 () (tptp.lt @t1 @t2)) % 0.53/0.75 (define @t51 () (tptp.lt @t2 @t1)) % 0.53/0.75 (define @t52 () (tptp.lt @t2 @t12)) % 0.53/0.75 (define @t53 () (tptp.gt @t2 @t1)) % 0.53/0.75 (define @t54 () (tptp.memberP @t12 @t2)) % 0.53/0.75 (define @t55 () (tptp.app @t12 @t2)) % 0.53/0.75 (define @t56 () (tptp.segmentP @t1 @t2)) % 0.53/0.75 (define @t57 () (tptp.segmentP @t2 @t2)) % 0.53/0.75 (define @t58 () (forall @t9 (=> @t17 @t57))) % 0.53/0.75 (define @t59 () (tptp.segmentP (tptp.app @t55 @t10) @t1)) % 0.53/0.75 (define @t60 () (=> @t24 @t59)) % 0.53/0.75 (define @t61 () (forall @t14 (=> @t13 @t60))) % 0.53/0.75 (define @t62 () (=> @t15 @t61)) % 0.53/0.75 (define @t63 () (forall @t16 @t62)) % 0.53/0.75 (define @t64 () (=> @t21 @t63)) % 0.53/0.75 (define @t65 () (forall @t7 @t64)) % 0.53/0.75 (define @t66 () (=> @t17 @t65)) % 0.53/0.75 (define @t67 () (forall @t9 @t66)) % 0.53/0.75 (define @t68 () (tptp.cons @t2 tptp.nil)) % 0.53/0.75 (define @t69 () (tptp.hd @t1)) % 0.53/0.75 (define @t70 () (= tptp.nil @t1)) % 0.53/0.75 (define @t71 () (not @t70)) % 0.53/0.75 (define @t72 () (tptp.cons @t2 @t1)) % 0.53/0.75 (define @t73 () (= @t12 @t2)) % 0.53/0.75 (define @t74 () (and @t56 @t36)) % 0.53/0.75 (define @t75 () (not (= tptp.nil @t10))) % 0.53/0.75 (define @t76 () (and @t75 (= tptp.nil @t12))) % 0.53/0.75 (define @t77 () (@var "X5" $$unsorted)) % 0.53/0.75 (define @t78 () (@var "X7" $$unsorted)) % 0.53/0.75 (define @t79 () (tptp.leq @t78 @t77)) % 0.53/0.75 (define @t80 () (tptp.cons @t78 tptp.nil)) % 0.53/0.75 (define @t81 () (@var "X8" $$unsorted)) % 0.53/0.75 (define @t82 () (tptp.app @t81 @t80)) % 0.53/0.75 (define @t83 () (tptp.ssList @t81)) % 0.53/0.75 (define @t84 () (and @t83 (= @t82 @t12) @t79)) % 0.53/0.75 (define @t85 () (@list @t81)) % 0.53/0.75 (define @t86 () (exists @t85 @t84)) % 0.53/0.75 (define @t87 () (tptp.ssItem @t78)) % 0.53/0.75 (define @t88 () (and @t87 @t86)) % 0.53/0.75 (define @t89 () (@list @t78)) % 0.53/0.75 (define @t90 () (exists @t89 @t88)) % 0.53/0.75 (define @t91 () (@var "X6" $$unsorted)) % 0.53/0.75 (define @t92 () (tptp.cons @t77 tptp.nil)) % 0.53/0.75 (define @t93 () (tptp.app @t92 @t91)) % 0.53/0.75 (define @t94 () (tptp.ssList @t91)) % 0.53/0.75 (define @t95 () (and @t94 (= @t93 @t27) @t90)) % 0.53/0.75 (define @t96 () (@list @t91)) % 0.53/0.75 (define @t97 () (exists @t96 @t95)) % 0.53/0.75 (define @t98 () (tptp.ssItem @t77)) % 0.53/0.75 (define @t99 () (and @t98 @t97)) % 0.53/0.75 (define @t100 () (@list @t77)) % 0.53/0.75 (define @t101 () (exists @t100 @t99)) % 0.53/0.75 (define @t102 () (@var "X3" $$unsorted)) % 0.53/0.75 (define @t103 () (@var "X1" $$unsorted)) % 0.53/0.75 (define @t104 () (tptp.leq @t103 @t102)) % 0.53/0.75 (define @t105 () (@var "X4" $$unsorted)) % 0.53/0.75 (define @t106 () (tptp.cons @t102 tptp.nil)) % 0.53/0.75 (define @t107 () (tptp.app @t106 @t105)) % 0.53/0.75 (define @t108 () (tptp.ssList @t105)) % 0.53/0.75 (define @t109 () (and @t108 (= @t107 @t12) @t104)) % 0.53/0.75 (define @t110 () (@list @t105)) % 0.53/0.75 (define @t111 () (exists @t110 @t109)) % 0.53/0.75 (define @t112 () (tptp.ssItem @t102)) % 0.53/0.75 (define @t113 () (and @t112 @t111)) % 0.53/0.75 (define @t114 () (@list @t102)) % 0.53/0.75 (define @t115 () (exists @t114 @t113)) % 0.53/0.75 (define @t116 () (tptp.cons @t103 tptp.nil)) % 0.53/0.75 (define @t117 () (@var "X2" $$unsorted)) % 0.53/0.75 (define @t118 () (tptp.app @t117 @t116)) % 0.53/0.75 (define @t119 () (tptp.ssList @t117)) % 0.53/0.75 (define @t120 () (and @t119 (= @t118 @t28) @t115)) % 0.53/0.75 (define @t121 () (@list @t117)) % 0.53/0.75 (define @t122 () (exists @t121 @t120)) % 0.53/0.75 (define @t123 () (tptp.ssItem @t103)) % 0.53/0.75 (define @t124 () (and @t123 @t122)) % 0.53/0.75 (define @t125 () (@list @t103)) % 0.53/0.75 (define @t126 () (exists @t125 @t124)) % 0.53/0.75 (define @t127 () (not (tptp.totalorderedP @t12))) % 0.53/0.75 (define @t128 () (tptp.app @t28 @t12)) % 0.53/0.75 (define @t129 () (tptp.app @t128 @t27)) % 0.53/0.75 (define @t130 () (not (= @t129 @t10))) % 0.53/0.75 (define @t131 () (or @t130 @t127 @t126 @t101)) % 0.53/0.75 (define @t132 () (=> @t30 @t131)) % 0.53/0.75 (define @t133 () (forall @t31 @t132)) % 0.53/0.75 (define @t134 () (=> @t32 @t133)) % 0.53/0.75 (define @t135 () (forall @t33 @t134)) % 0.53/0.75 (define @t136 () (not (= @t2 @t12))) % 0.53/0.75 (define @t137 () (not (= @t1 @t10))) % 0.53/0.75 (define @t138 () (or @t137 @t136 @t135 @t76 @t74)) % 0.53/0.75 (define @t139 () (=> @t13 @t138)) % 0.53/0.75 (define @t140 () (forall @t14 @t139)) % 0.53/0.75 (define @t141 () (=> @t15 @t140)) % 0.53/0.75 (define @t142 () (forall @t16 @t141)) % 0.53/0.75 (define @t143 () (=> @t21 @t142)) % 0.53/0.75 (define @t144 () (forall @t7 @t143)) % 0.53/0.75 (define @t145 () (=> @t17 @t144)) % 0.53/0.75 (define @t146 () (forall @t9 @t145)) % 0.53/0.75 (define @t147 () (not @t146)) % 0.53/0.75 (define @t148 () (@var "BOUND_VARIABLE_11382" $$unsorted)) % 0.53/0.75 (define @t149 () (@var "BOUND_VARIABLE_11144" $$unsorted)) % 0.53/0.75 (define @t150 () (tptp.app @t92 @t149)) % 0.53/0.75 (define @t151 () (not (tptp.ssList @t149))) % 0.53/0.75 (define @t152 () (@var "BOUND_VARIABLE_11129" $$unsorted)) % 0.53/0.75 (define @t153 () (@var "BOUND_VARIABLE_11131" $$unsorted)) % 0.53/0.75 (define @t154 () (tptp.app @t153 (tptp.cons @t152 tptp.nil))) % 0.53/0.75 (define @t155 () (not (= @t2 @t154))) % 0.53/0.75 (define @t156 () (not (tptp.ssList @t153))) % 0.53/0.75 (define @t157 () (not (tptp.leq @t152 @t77))) % 0.53/0.75 (define @t158 () (not (tptp.ssItem @t152))) % 0.53/0.75 (define @t159 () (not @t98)) % 0.53/0.75 (define @t160 () (@list @t77 @t152 @t153 @t149)) % 0.53/0.75 (define @t161 () (not (forall @t160 (or @t159 @t158 @t157 @t156 @t155 @t151 (not (= @t150 @t148)))))) % 0.53/0.75 (define @t162 () (not (tptp.ssList @t148))) % 0.53/0.75 (define @t163 () (@var "BOUND_VARIABLE_11380" $$unsorted)) % 0.53/0.75 (define @t164 () (@var "BOUND_VARIABLE_11056" $$unsorted)) % 0.53/0.75 (define @t165 () (tptp.app @t164 @t116)) % 0.53/0.75 (define @t166 () (not (tptp.ssList @t164))) % 0.53/0.75 (define @t167 () (@var "BOUND_VARIABLE_11043" $$unsorted)) % 0.53/0.75 (define @t168 () (@var "BOUND_VARIABLE_11041" $$unsorted)) % 0.53/0.75 (define @t169 () (tptp.app (tptp.cons @t168 tptp.nil) @t167)) % 0.53/0.75 (define @t170 () (not (= @t2 @t169))) % 0.53/0.75 (define @t171 () (not (tptp.ssList @t167))) % 0.53/0.75 (define @t172 () (not (tptp.leq @t103 @t168))) % 0.53/0.75 (define @t173 () (not (tptp.ssItem @t168))) % 0.53/0.75 (define @t174 () (not @t123)) % 0.53/0.75 (define @t175 () (@list @t103 @t168 @t167 @t164)) % 0.53/0.75 (define @t176 () (not (forall @t175 (or @t174 @t173 @t172 @t171 @t170 @t166 (not (= @t165 @t163)))))) % 0.53/0.75 (define @t177 () (not (tptp.ssList @t163))) % 0.53/0.75 (define @t178 () (= @t2 tptp.nil)) % 0.53/0.75 (define @t179 () (tptp.app (tptp.app @t163 @t2) @t148)) % 0.53/0.75 (define @t180 () (and (not (= tptp.nil @t179)) @t178)) % 0.53/0.75 (define @t181 () (and (tptp.segmentP @t179 @t2) @t36)) % 0.53/0.75 (define @t182 () (not (tptp.ssList @t179))) % 0.53/0.75 (define @t183 () (not @t36)) % 0.53/0.75 (define @t184 () (not @t17)) % 0.53/0.75 (define @t185 () (or @t184 @t183 @t182 @t181 @t180 @t177 @t176 @t162 @t161)) % 0.53/0.75 (define @t186 () (or @t182 @t181 @t180 @t177 @t176 @t162 @t161)) % 0.53/0.75 (define @t187 () (or @t184 @t183 @t186)) % 0.53/0.75 (define @t188 () (@list @t2 @t163 @t148)) % 0.53/0.75 (define @t189 () (forall @t188 @t187)) % 0.53/0.75 (define @t190 () (@list @t163 @t148)) % 0.53/0.75 (define @t191 () (forall @t190 @t187)) % 0.53/0.75 (define @t192 () (forall @t190 @t186)) % 0.53/0.75 (define @t193 () (@var "BOUND_VARIABLE_11332" $$unsorted)) % 0.53/0.75 (define @t194 () (@var "BOUND_VARIABLE_11330" $$unsorted)) % 0.53/0.75 (define @t195 () (@list @t194 @t193)) % 0.53/0.75 (define @t196 () (or @t184 @t183 @t192)) % 0.53/0.75 (define @t197 () (not (forall @t160 (or @t159 @t158 @t157 @t156 @t155 @t151 (not (= @t150 @t193)))))) % 0.53/0.75 (define @t198 () (not (tptp.ssList @t193))) % 0.53/0.75 (define @t199 () (not (forall @t175 (or @t174 @t173 @t172 @t171 @t170 @t166 (not (= @t165 @t194)))))) % 0.53/0.75 (define @t200 () (not (tptp.ssList @t194))) % 0.53/0.75 (define @t201 () (tptp.app (tptp.app @t194 @t2) @t193)) % 0.53/0.75 (define @t202 () (and (not (= tptp.nil @t201)) @t178)) % 0.53/0.75 (define @t203 () (and (tptp.segmentP @t201 @t2) @t36)) % 0.53/0.75 (define @t204 () (not (tptp.ssList @t201))) % 0.53/0.75 (define @t205 () (or @t204 @t203 @t202 @t200 @t199 @t198 @t197)) % 0.53/0.75 (define @t206 () (@list @t194 @t193)) % 0.53/0.75 (define @t207 () (or @t184 @t183 (forall @t206 @t205))) % 0.53/0.75 (define @t208 () (not (= @t201 @t201))) % 0.53/0.75 (define @t209 () (not (= @t201 tptp.nil))) % 0.53/0.75 (define @t210 () (and @t209 @t178)) % 0.53/0.75 (define @t211 () (or @t204 @t203 @t210 @t200 @t199 @t198 @t208 @t197)) % 0.53/0.75 (define @t212 () (not (= @t1 @t201))) % 0.53/0.75 (define @t213 () (not (= @t1 tptp.nil))) % 0.53/0.75 (define @t214 () (and @t213 @t178)) % 0.53/0.75 (define @t215 () (not @t21)) % 0.53/0.75 (define @t216 () (or @t212 @t215 @t74 @t214 @t200 @t199 @t198 @t212 @t197)) % 0.53/0.75 (define @t217 () (or @t215 @t74 @t214 @t200 @t199 @t198 @t212 @t197)) % 0.53/0.75 (define @t218 () (forall @t7 @t217)) % 0.53/0.75 (define @t219 () (forall @t206 @t218)) % 0.53/0.75 (define @t220 () (forall (@list @t194 @t193 @t1) @t217)) % 0.53/0.75 (define @t221 () (@list @t1 @t194 @t193)) % 0.53/0.75 (define @t222 () (or @t200 @t199 @t198 @t212 @t197)) % 0.53/0.75 (define @t223 () (or @t215 @t74 @t214 @t222)) % 0.53/0.75 (define @t224 () (forall @t221 @t223)) % 0.53/0.75 (define @t225 () (forall @t206 @t223)) % 0.53/0.75 (define @t226 () (forall @t206 @t222)) % 0.53/0.75 (define @t227 () (@var "BOUND_VARIABLE_11268" $$unsorted)) % 0.53/0.75 (define @t228 () (@var "BOUND_VARIABLE_11266" $$unsorted)) % 0.53/0.75 (define @t229 () (@list @t228 @t227)) % 0.53/0.75 (define @t230 () (or @t215 @t74 @t214 @t226)) % 0.53/0.75 (define @t231 () (not (= @t150 @t227))) % 0.53/0.75 (define @t232 () (not (forall @t160 (or @t159 @t158 @t157 @t156 @t155 @t151 @t231)))) % 0.53/0.75 (define @t233 () (not (= @t1 (tptp.app (tptp.app @t228 @t2) @t227)))) % 0.53/0.75 (define @t234 () (not (tptp.ssList @t227))) % 0.53/0.75 (define @t235 () (not (= @t165 @t228))) % 0.53/0.75 (define @t236 () (not (forall @t175 (or @t174 @t173 @t172 @t171 @t170 @t166 @t235)))) % 0.53/0.75 (define @t237 () (not (tptp.ssList @t228))) % 0.53/0.75 (define @t238 () (or @t237 @t236 @t234 @t233 @t232)) % 0.53/0.75 (define @t239 () (@list @t228 @t227)) % 0.53/0.75 (define @t240 () (forall @t239 @t238)) % 0.53/0.75 (define @t241 () (or @t215 @t74 @t214 @t240)) % 0.53/0.75 (define @t242 () (forall @t7 @t241)) % 0.53/0.75 (define @t243 () (or @t184 @t183 @t242)) % 0.53/0.75 (define @t244 () (or @t184 @t183 @t241)) % 0.53/0.75 (define @t245 () (or @t215 @t74 @t184 @t183 @t214 @t240)) % 0.53/0.75 (define @t246 () (or @t74 @t215 @t184 @t183 @t214 @t240)) % 0.53/0.75 (define @t247 () (or @t184 @t183 @t214 @t240)) % 0.53/0.75 (define @t248 () (or @t184 @t183 @t214 @t238)) % 0.53/0.75 (define @t249 () (or @t184 @t183 @t214 @t237 @t236 @t234 @t233 @t232)) % 0.53/0.75 (define @t250 () (not (= @t2 @t2))) % 0.53/0.75 (define @t251 () (or @t184 @t250 @t183 @t214 @t237 @t236 @t234 @t233 @t232)) % 0.53/0.75 (define @t252 () (not (= @t12 @t154))) % 0.53/0.75 (define @t253 () (not (forall @t160 (or @t159 @t158 @t157 @t156 @t252 @t151 @t231)))) % 0.53/0.75 (define @t254 () (not (= @t1 (tptp.app (tptp.app @t228 @t12) @t227)))) % 0.53/0.75 (define @t255 () (not (= @t12 @t169))) % 0.53/0.75 (define @t256 () (not (forall @t175 (or @t174 @t173 @t172 @t171 @t255 @t166 @t235)))) % 0.53/0.75 (define @t257 () (= @t12 tptp.nil)) % 0.53/0.75 (define @t258 () (and @t213 @t257)) % 0.53/0.75 (define @t259 () (not @t15)) % 0.53/0.75 (define @t260 () (or @t136 @t259 @t136 @t127 @t258 @t237 @t256 @t234 @t254 @t253)) % 0.53/0.75 (define @t261 () (or @t259 @t136 @t127 @t258 @t237 @t256 @t234 @t254 @t253)) % 0.53/0.75 (define @t262 () (forall @t16 @t261)) % 0.53/0.75 (define @t263 () (forall @t239 @t262)) % 0.53/0.75 (define @t264 () (forall (@list @t228 @t227 @t12) @t261)) % 0.53/0.75 (define @t265 () (@list @t12 @t228 @t227)) % 0.53/0.75 (define @t266 () (or @t237 @t256 @t234 @t254 @t253)) % 0.53/0.75 (define @t267 () (or @t259 @t136 @t127 @t258 @t266)) % 0.53/0.75 (define @t268 () (forall @t265 @t267)) % 0.53/0.75 (define @t269 () (forall @t239 @t267)) % 0.53/0.75 (define @t270 () (forall @t239 @t266)) % 0.53/0.75 (define @t271 () (@var "BOUND_VARIABLE_11213" $$unsorted)) % 0.53/0.76 (define @t272 () (@var "BOUND_VARIABLE_11211" $$unsorted)) % 0.53/0.76 (define @t273 () (@list @t272 @t271)) % 0.53/0.76 (define @t274 () (or @t259 @t136 @t127 @t258 @t270)) % 0.53/0.76 (define @t275 () (not (forall @t160 (or @t159 @t158 @t157 @t156 @t252 @t151 (not (= @t150 @t271)))))) % 0.53/0.76 (define @t276 () (tptp.app (tptp.app @t272 @t12) @t271)) % 0.53/0.76 (define @t277 () (not (= @t1 @t276))) % 0.53/0.76 (define @t278 () (not (tptp.ssList @t271))) % 0.53/0.76 (define @t279 () (not (forall @t175 (or @t174 @t173 @t172 @t171 @t255 @t166 (not (= @t165 @t272)))))) % 0.53/0.76 (define @t280 () (not (tptp.ssList @t272))) % 0.53/0.76 (define @t281 () (or @t280 @t279 @t278 @t277 @t275)) % 0.53/0.76 (define @t282 () (@list @t272 @t271)) % 0.53/0.76 (define @t283 () (forall @t282 @t281)) % 0.53/0.76 (define @t284 () (or @t259 @t136 @t127 @t258 @t283)) % 0.53/0.76 (define @t285 () (forall @t16 @t284)) % 0.53/0.76 (define @t286 () (or @t74 @t215 @t285)) % 0.53/0.76 (define @t287 () (or @t74 @t215 @t284)) % 0.53/0.76 (define @t288 () (or @t259 @t136 @t74 @t127 @t215 @t258 @t283)) % 0.53/0.76 (define @t289 () (or @t136 @t74 @t127 @t215 @t258 @t283)) % 0.53/0.76 (define @t290 () (or @t215 @t258 @t283)) % 0.53/0.76 (define @t291 () (or @t215 @t258 @t281)) % 0.53/0.76 (define @t292 () (or @t215 @t258 @t280 @t279 @t278 @t277 @t275)) % 0.53/0.76 (define @t293 () (not (= @t1 @t1))) % 0.53/0.76 (define @t294 () (or @t215 @t293 @t258 @t280 @t279 @t278 @t277 @t275)) % 0.53/0.76 (define @t295 () (not (= @t10 @t276))) % 0.53/0.76 (define @t296 () (and (not (= @t10 tptp.nil)) @t257)) % 0.53/0.76 (define @t297 () (not @t13)) % 0.53/0.76 (define @t298 () (or @t137 @t297 @t137 @t296 @t280 @t279 @t278 @t295 @t275)) % 0.53/0.76 (define @t299 () (or @t297 @t137 @t296 @t280 @t279 @t278 @t295 @t275)) % 0.53/0.76 (define @t300 () (forall @t14 @t299)) % 0.53/0.76 (define @t301 () (forall @t282 @t300)) % 0.53/0.76 (define @t302 () (forall (@list @t272 @t271 @t10) @t299)) % 0.53/0.76 (define @t303 () (@list @t10 @t272 @t271)) % 0.53/0.76 (define @t304 () (not (= @t272 @t165))) % 0.53/0.76 (define @t305 () (or @t174 @t173 @t172 @t171 @t255 @t166 @t304)) % 0.53/0.76 (define @t306 () (forall @t175 @t305)) % 0.53/0.76 (define @t307 () (not @t306)) % 0.53/0.76 (define @t308 () (or @t297 @t137 @t296 @t280 @t307 @t278 @t295 @t275)) % 0.53/0.76 (define @t309 () (or @t280 @t307 @t278 @t295 @t275)) % 0.53/0.76 (define @t310 () (or @t297 @t137 @t296 @t309)) % 0.53/0.76 (define @t311 () (forall @t303 @t310)) % 0.53/0.76 (define @t312 () (forall @t282 @t310)) % 0.53/0.76 (define @t313 () (forall @t282 @t309)) % 0.53/0.76 (define @t314 () (@var "BOUND_VARIABLE_11173" $$unsorted)) % 0.53/0.76 (define @t315 () (or @t297 @t137 @t296 @t313)) % 0.53/0.76 (define @t316 () (not (= @t10 (tptp.app @t128 @t314)))) % 0.53/0.76 (define @t317 () (not (tptp.ssList @t314))) % 0.53/0.76 (define @t318 () (not (= @t28 @t165))) % 0.53/0.76 (define @t319 () (or @t174 @t173 @t172 @t171 @t255 @t166 @t318)) % 0.53/0.76 (define @t320 () (not (forall @t175 @t319))) % 0.53/0.76 (define @t321 () (not @t32)) % 0.53/0.76 (define @t322 () (@list @t28 @t314)) % 0.53/0.76 (define @t323 () (forall @t322 (or @t321 @t320 @t317 @t316 (not (forall @t160 (or @t159 @t158 @t157 @t156 @t252 @t151 (not (= @t150 @t314)))))))) % 0.53/0.76 (define @t324 () (or @t297 @t137 @t296 @t323)) % 0.53/0.76 (define @t325 () (forall @t14 @t324)) % 0.53/0.76 (define @t326 () (or @t136 @t74 @t127 @t325)) % 0.53/0.76 (define @t327 () (or @t136 @t74 @t127 @t324)) % 0.53/0.76 (define @t328 () (or @t297 @t137 @t136 @t296 @t74 @t127 @t323)) % 0.53/0.76 (define @t329 () (or @t137 @t136 @t296 @t74 @t127 @t323)) % 0.53/0.76 (define @t330 () (not (= @t314 @t150))) % 0.53/0.76 (define @t331 () (or @t159 @t158 @t157 @t156 @t252 @t151 @t330)) % 0.53/0.76 (define @t332 () (forall @t160 @t331)) % 0.53/0.76 (define @t333 () (not @t332)) % 0.53/0.76 (define @t334 () (or @t321 @t320 @t317 @t316 @t333)) % 0.53/0.76 (define @t335 () (or @t317 @t316 @t333)) % 0.53/0.76 (define @t336 () (or @t321 @t320 @t335)) % 0.53/0.76 (define @t337 () (forall @t322 @t336)) % 0.53/0.76 (define @t338 () (@list @t314)) % 0.53/0.76 (define @t339 () (forall @t338 @t336)) % 0.53/0.76 (define @t340 () (forall @t338 @t335)) % 0.53/0.76 (define @t341 () (or @t321 @t320 @t340)) % 0.53/0.76 (define @t342 () (not (= @t27 @t150))) % 0.53/0.76 (define @t343 () (or @t159 @t158 @t157 @t156 @t252 @t151 @t342)) % 0.53/0.76 (define @t344 () (not (forall @t160 @t343))) % 0.53/0.76 (define @t345 () (not (= @t10 @t129))) % 0.53/0.76 (define @t346 () (not @t30)) % 0.53/0.76 (define @t347 () (or @t346 @t345 @t344)) % 0.53/0.76 (define @t348 () (forall @t31 @t347)) % 0.53/0.76 (define @t349 () (or @t321 @t320 @t348)) % 0.53/0.76 (define @t350 () (forall @t33 @t349)) % 0.53/0.76 (define @t351 () (or @t127 @t350)) % 0.53/0.76 (define @t352 () (or @t127 @t349)) % 0.53/0.76 (define @t353 () (or @t321 @t127 @t320 @t348)) % 0.53/0.76 (define @t354 () (or @t127 @t320 @t348)) % 0.53/0.76 (define @t355 () (or @t127 @t320 @t347)) % 0.53/0.76 (define @t356 () (or @t346 @t345 @t127 @t320 @t344)) % 0.53/0.76 (define @t357 () (or @t345 @t127 @t320 @t344)) % 0.53/0.76 (define @t358 () (or @t151 @t342)) % 0.53/0.76 (define @t359 () (or @t158 @t157 @t156 @t252)) % 0.53/0.76 (define @t360 () (or @t159 @t359 @t358)) % 0.53/0.76 (define @t361 () (forall @t160 @t360)) % 0.53/0.76 (define @t362 () (forall (@list @t152 @t153 @t149) @t360)) % 0.53/0.76 (define @t363 () (forall (@list @t149) @t358)) % 0.53/0.76 (define @t364 () (forall (@list @t152 @t153) @t359)) % 0.53/0.76 (define @t365 () (@var "BOUND_VARIABLE_11094" $$unsorted)) % 0.53/0.76 (define @t366 () (or @t159 @t364 @t363)) % 0.53/0.76 (define @t367 () (= @t27 @t93)) % 0.53/0.76 (define @t368 () (not @t367)) % 0.53/0.76 (define @t369 () (not @t94)) % 0.53/0.76 (define @t370 () (or @t369 @t368)) % 0.53/0.76 (define @t371 () (forall @t96 @t370)) % 0.53/0.76 (define @t372 () (not (= @t12 (tptp.app @t365 @t80)))) % 0.53/0.76 (define @t373 () (not (tptp.ssList @t365))) % 0.53/0.76 (define @t374 () (not @t79)) % 0.53/0.76 (define @t375 () (not @t87)) % 0.53/0.76 (define @t376 () (or @t375 @t374 @t373 @t372)) % 0.53/0.76 (define @t377 () (@list @t78 @t365)) % 0.53/0.76 (define @t378 () (forall @t377 @t376)) % 0.53/0.76 (define @t379 () (or @t159 @t378 @t371)) % 0.53/0.76 (define @t380 () (or @t378 @t371)) % 0.53/0.76 (define @t381 () (not @t380)) % 0.53/0.76 (define @t382 () (and @t98 @t381)) % 0.53/0.76 (define @t383 () (forall @t100 (not @t382))) % 0.53/0.76 (define @t384 () (not @t383)) % 0.53/0.76 (define @t385 () (or @t378 @t370)) % 0.53/0.76 (define @t386 () (or @t369 @t368 @t378)) % 0.53/0.76 (define @t387 () (not @t378)) % 0.53/0.76 (define @t388 () (not @t387)) % 0.53/0.76 (define @t389 () (or @t369 @t368 @t388)) % 0.53/0.76 (define @t390 () (and @t94 @t367 @t387)) % 0.53/0.76 (define @t391 () (forall @t96 (not @t390))) % 0.53/0.76 (define @t392 () (not @t391)) % 0.53/0.76 (define @t393 () (or @t373 @t372)) % 0.53/0.76 (define @t394 () (or @t375 @t374 @t393)) % 0.53/0.76 (define @t395 () (forall @t377 @t394)) % 0.53/0.76 (define @t396 () (@list @t365)) % 0.53/0.76 (define @t397 () (forall @t396 @t394)) % 0.53/0.76 (define @t398 () (forall @t396 @t393)) % 0.53/0.76 (define @t399 () (or @t375 @t374 @t398)) % 0.53/0.76 (define @t400 () (= @t12 @t82)) % 0.53/0.76 (define @t401 () (not @t400)) % 0.53/0.76 (define @t402 () (not @t83)) % 0.53/0.76 (define @t403 () (or @t402 @t401)) % 0.53/0.76 (define @t404 () (forall @t85 @t403)) % 0.53/0.76 (define @t405 () (or @t375 @t374 @t404)) % 0.53/0.76 (define @t406 () (or @t374 @t404)) % 0.53/0.76 (define @t407 () (not @t406)) % 0.53/0.76 (define @t408 () (and @t87 @t407)) % 0.53/0.76 (define @t409 () (forall @t89 (not @t408))) % 0.53/0.76 (define @t410 () (not @t409)) % 0.53/0.76 (define @t411 () (or @t374 @t403)) % 0.53/0.76 (define @t412 () (or @t402 @t401 @t374)) % 0.53/0.76 (define @t413 () (and @t83 @t400 @t79)) % 0.53/0.76 (define @t414 () (forall @t85 (not @t413))) % 0.53/0.76 (define @t415 () (not @t414)) % 0.53/0.76 (define @t416 () (or @t166 @t318)) % 0.53/0.76 (define @t417 () (or @t173 @t172 @t171 @t255)) % 0.53/0.76 (define @t418 () (or @t174 @t417 @t416)) % 0.53/0.76 (define @t419 () (forall @t175 @t418)) % 0.53/0.76 (define @t420 () (forall (@list @t168 @t167 @t164) @t418)) % 0.53/0.76 (define @t421 () (forall (@list @t164) @t416)) % 0.53/0.76 (define @t422 () (forall (@list @t168 @t167) @t417)) % 0.53/0.76 (define @t423 () (@var "BOUND_VARIABLE_11006" $$unsorted)) % 0.53/0.76 (define @t424 () (or @t174 @t422 @t421)) % 0.53/0.76 (define @t425 () (= @t28 @t118)) % 0.53/0.76 (define @t426 () (not @t425)) % 0.53/0.76 (define @t427 () (not @t119)) % 0.53/0.76 (define @t428 () (or @t427 @t426)) % 0.53/0.76 (define @t429 () (forall @t121 @t428)) % 0.53/0.76 (define @t430 () (not (= @t12 (tptp.app @t106 @t423)))) % 0.53/0.76 (define @t431 () (not (tptp.ssList @t423))) % 0.53/0.76 (define @t432 () (not @t104)) % 0.53/0.76 (define @t433 () (not @t112)) % 0.53/0.76 (define @t434 () (or @t433 @t432 @t431 @t430)) % 0.53/0.76 (define @t435 () (@list @t102 @t423)) % 0.53/0.76 (define @t436 () (forall @t435 @t434)) % 0.53/0.76 (define @t437 () (or @t174 @t436 @t429)) % 0.53/0.76 (define @t438 () (or @t436 @t429)) % 0.53/0.76 (define @t439 () (not @t438)) % 0.53/0.76 (define @t440 () (and @t123 @t439)) % 0.53/0.76 (define @t441 () (forall @t125 (not @t440))) % 0.53/0.76 (define @t442 () (not @t441)) % 0.53/0.76 (define @t443 () (or @t436 @t428)) % 0.53/0.76 (define @t444 () (or @t427 @t426 @t436)) % 0.53/0.76 (define @t445 () (not @t436)) % 0.53/0.76 (define @t446 () (not @t445)) % 0.53/0.76 (define @t447 () (or @t427 @t426 @t446)) % 0.53/0.76 (define @t448 () (and @t119 @t425 @t445)) % 0.53/0.76 (define @t449 () (forall @t121 (not @t448))) % 0.53/0.76 (define @t450 () (not @t449)) % 0.53/0.76 (define @t451 () (or @t431 @t430)) % 0.53/0.76 (define @t452 () (or @t433 @t432 @t451)) % 0.53/0.76 (define @t453 () (forall @t435 @t452)) % 0.53/0.76 (define @t454 () (@list @t423)) % 0.53/0.76 (define @t455 () (forall @t454 @t452)) % 0.53/0.76 (define @t456 () (forall @t454 @t451)) % 0.53/0.76 (define @t457 () (or @t433 @t432 @t456)) % 0.53/0.76 (define @t458 () (= @t12 @t107)) % 0.53/0.76 (define @t459 () (not @t458)) % 0.53/0.76 (define @t460 () (not @t108)) % 0.53/0.76 (define @t461 () (or @t460 @t459)) % 0.53/0.76 (define @t462 () (forall @t110 @t461)) % 0.53/0.76 (define @t463 () (or @t433 @t432 @t462)) % 0.53/0.76 (define @t464 () (or @t432 @t462)) % 0.53/0.76 (define @t465 () (not @t464)) % 0.53/0.76 (define @t466 () (and @t112 @t465)) % 0.53/0.76 (define @t467 () (forall @t114 (not @t466))) % 0.53/0.76 (define @t468 () (not @t467)) % 0.53/0.76 (define @t469 () (or @t432 @t461)) % 0.53/0.76 (define @t470 () (or @t460 @t459 @t432)) % 0.53/0.76 (define @t471 () (and @t108 @t458 @t104)) % 0.53/0.76 (define @t472 () (forall @t110 (not @t471))) % 0.53/0.76 (define @t473 () (not @t472)) % 0.53/0.76 (define @t474 () (forall @t188 @t185)) % 0.53/0.76 (define @t475 () (@quantifiers_skolemize @t474 2)) % 0.53/0.76 (define @t476 () (not (= @t150 @t475))) % 0.53/0.76 (define @t477 () (@quantifiers_skolemize @t474 0)) % 0.53/0.76 (define @t478 () (tptp.ssList @t475)) % 0.53/0.76 (define @t479 () (not @t478)) % 0.53/0.76 (define @t480 () (@quantifiers_skolemize @t474 1)) % 0.53/0.76 (define @t481 () (not (= @t165 @t480))) % 0.53/0.76 (define @t482 () (tptp.ssList @t480)) % 0.53/0.76 (define @t483 () (not @t482)) % 0.53/0.76 (define @t484 () (tptp.app (tptp.app @t480 @t477) @t475)) % 0.53/0.76 (define @t485 () (not (= tptp.nil @t484))) % 0.53/0.76 (define @t486 () (tptp.totalorderedP @t477)) % 0.53/0.76 (define @t487 () (tptp.segmentP @t484 @t477)) % 0.53/0.76 (define @t488 () (and @t487 @t486)) % 0.53/0.76 (define @t489 () (not (tptp.ssList @t484))) % 0.53/0.76 (define @t490 () (not @t486)) % 0.53/0.76 (define @t491 () (tptp.ssList @t477)) % 0.53/0.76 (define @t492 () (not @t491)) % 0.53/0.76 (define @t493 () (or @t492 @t490 @t489 @t488 (and @t485 (= tptp.nil @t477)) @t483 (not (forall @t175 (or @t174 @t173 @t172 @t171 (not (= @t169 @t477)) @t166 @t481))) @t479 (not (forall @t160 (or @t159 @t158 @t157 @t156 (not (= @t154 @t477)) @t151 @t476))))) % 0.53/0.76 (define @t494 () (not @t493)) % 0.53/0.76 (define @t495 () (not @t474)) % 0.53/0.76 (define @t496 () (not (= @t477 @t154))) % 0.53/0.76 (define @t497 () (or @t159 @t158 @t157 @t156 @t496 @t151 @t476)) % 0.53/0.76 (define @t498 () (forall @t160 @t497)) % 0.53/0.76 (define @t499 () (not @t498)) % 0.53/0.76 (define @t500 () (not (= @t477 @t169))) % 0.53/0.76 (define @t501 () (or @t174 @t173 @t172 @t171 @t500 @t166 @t481)) % 0.53/0.76 (define @t502 () (forall @t175 @t501)) % 0.53/0.76 (define @t503 () (not @t502)) % 0.53/0.76 (define @t504 () (and @t485 (= @t477 tptp.nil))) % 0.53/0.76 (define @t505 () (or @t492 @t490 @t489 @t488 @t504 @t483 @t503 @t479 @t499)) % 0.53/0.76 (define @t506 () (not @t505)) % 0.53/0.76 (define @t507 () (@list true)) % 0.53/0.76 (define @t508 () (@list @t493)) % 0.53/0.76 (define @t509 () (not @t487)) % 0.53/0.76 (define @t510 () (@var "BOUND_VARIABLE_10256" $$unsorted)) % 0.53/0.76 (define @t511 () (@var "BOUND_VARIABLE_10260" $$unsorted)) % 0.53/0.76 (define @t512 () (@var "BOUND_VARIABLE_10258" $$unsorted)) % 0.53/0.76 (define @t513 () (tptp.segmentP (tptp.app (tptp.app @t512 @t2) @t511) @t510)) % 0.53/0.76 (define @t514 () (not (tptp.ssList @t511))) % 0.53/0.76 (define @t515 () (not (tptp.ssList @t512))) % 0.53/0.76 (define @t516 () (not (tptp.segmentP @t2 @t510))) % 0.53/0.76 (define @t517 () (not (tptp.ssList @t510))) % 0.53/0.76 (define @t518 () (or @t517 @t516 @t515 @t514 @t513)) % 0.53/0.76 (define @t519 () (or @t184 @t518)) % 0.53/0.76 (define @t520 () (forall (@list @t2 @t510 @t512 @t511) @t519)) % 0.53/0.76 (define @t521 () (@list @t510 @t512 @t511)) % 0.53/0.76 (define @t522 () (forall @t521 @t519)) % 0.53/0.76 (define @t523 () (forall @t521 @t518)) % 0.53/0.76 (define @t524 () (@var "BOUND_VARIABLE_10237" $$unsorted)) % 0.53/0.76 (define @t525 () (@var "BOUND_VARIABLE_10235" $$unsorted)) % 0.53/0.76 (define @t526 () (or @t184 @t523)) % 0.53/0.76 (define @t527 () (tptp.segmentP (tptp.app (tptp.app @t525 @t2) @t524) @t1)) % 0.53/0.76 (define @t528 () (not (tptp.ssList @t524))) % 0.53/0.76 (define @t529 () (not (tptp.ssList @t525))) % 0.53/0.76 (define @t530 () (not @t24)) % 0.53/0.76 (define @t531 () (or @t215 @t530 @t529 @t528 @t527)) % 0.53/0.76 (define @t532 () (@list @t1 @t525 @t524)) % 0.53/0.76 (define @t533 () (forall @t532 @t531)) % 0.53/0.76 (define @t534 () (or @t529 @t528 @t527)) % 0.53/0.76 (define @t535 () (or @t215 @t530 @t534)) % 0.53/0.76 (define @t536 () (forall @t532 @t535)) % 0.53/0.76 (define @t537 () (@list @t525 @t524)) % 0.53/0.76 (define @t538 () (forall @t537 @t535)) % 0.53/0.76 (define @t539 () (forall @t537 @t534)) % 0.53/0.76 (define @t540 () (@var "BOUND_VARIABLE_10218" $$unsorted)) % 0.53/0.76 (define @t541 () (or @t215 @t530 @t539)) % 0.53/0.76 (define @t542 () (tptp.segmentP (tptp.app @t55 @t540) @t1)) % 0.53/0.76 (define @t543 () (not (tptp.ssList @t540))) % 0.53/0.76 (define @t544 () (or @t259 @t543 @t542)) % 0.53/0.76 (define @t545 () (@list @t12 @t540)) % 0.53/0.76 (define @t546 () (forall @t545 @t544)) % 0.53/0.76 (define @t547 () (or @t215 @t530 @t546)) % 0.53/0.76 (define @t548 () (or @t530 @t546)) % 0.53/0.76 (define @t549 () (or @t543 @t542)) % 0.53/0.76 (define @t550 () (or @t259 @t549)) % 0.53/0.76 (define @t551 () (forall @t545 @t550)) % 0.53/0.76 (define @t552 () (@list @t540)) % 0.53/0.76 (define @t553 () (forall @t552 @t550)) % 0.53/0.76 (define @t554 () (forall @t552 @t549)) % 0.53/0.76 (define @t555 () (or @t259 @t554)) % 0.53/0.76 (define @t556 () (or @t297 @t59)) % 0.53/0.76 (define @t557 () (forall @t14 @t556)) % 0.53/0.76 (define @t558 () (or @t259 @t557)) % 0.53/0.76 (define @t559 () (forall @t16 @t558)) % 0.53/0.76 (define @t560 () (or @t530 @t559)) % 0.53/0.76 (define @t561 () (or @t530 @t558)) % 0.53/0.76 (define @t562 () (or @t259 @t530 @t557)) % 0.53/0.76 (define @t563 () (or @t530 @t557)) % 0.53/0.76 (define @t564 () (or @t530 @t556)) % 0.53/0.76 (define @t565 () (or @t297 @t530 @t59)) % 0.53/0.76 (define @t566 () (tptp.segmentP @t477 @t477)) % 0.53/0.76 (define @t567 () (or @t492 @t566)) % 0.53/0.76 (define @t568 () (not @t566)) % 0.53/0.76 (define @t569 () (or @t492 @t492 @t568 @t483 @t479 @t487)) % 0.53/0.76 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.53/0.76 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.53/0.76 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.53/0.76 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.53/0.76 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.53/0.76 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.53/0.76 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.53/0.76 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.53/0.76 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.53/0.76 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.53/0.76 (assume @p11 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.53/0.76 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.53/0.76 (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)))))))))))))))) % 0.53/0.76 (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))))))))))))) % 0.53/0.76 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.53/0.76 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 0.53/0.76 (assume @p17 (tptp.ssList tptp.nil)) % 0.53/0.76 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 0.53/0.76 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t39))))))))))) % 0.53/0.76 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.53/0.76 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 0.53/0.76 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.53/0.76 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 0.53/0.76 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.53/0.76 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 0.53/0.76 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.53/0.76 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.53/0.76 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.53/0.76 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.53/0.76 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.53/0.76 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.53/0.76 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.53/0.76 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.53/0.76 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.53/0.76 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.53/0.76 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.53/0.76 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))))))))) % 0.53/0.76 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.53/0.76 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.53/0.76 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.53/0.76 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.53/0.76 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.53/0.76 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.53/0.76 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 0.53/0.76 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.53/0.76 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.53/0.76 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.53/0.76 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.53/0.76 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.53/0.76 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t55 @t1))))))))) % 0.53/0.76 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.53/0.76 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.53/0.76 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.53/0.76 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 @t56) @t3)))))) % 0.53/0.76 (assume @p55 @t58) % 0.53/0.76 (assume @p56 @t67) % 0.53/0.76 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.53/0.76 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 0.53/0.76 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t68)))) % 0.53/0.76 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.53/0.76 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t68)))) % 0.53/0.76 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.53/0.76 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t68)))) % 0.53/0.76 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.53/0.76 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t68)))) % 0.53/0.76 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.53/0.76 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t72) (or @t70 (and @t71 (tptp.totalorderedP @t1) (tptp.leq @t2 @t69))))))))) % 0.53/0.76 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t68)))) % 0.53/0.76 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.53/0.76 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t72) (or @t70 (and @t71 (tptp.strictorderedP @t1) (tptp.lt @t2 @t69))))))))) % 0.53/0.76 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t68)))) % 0.53/0.76 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.53/0.76 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t68)))) % 0.53/0.76 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.53/0.76 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 0.53/0.76 (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1))))))) % 0.53/0.76 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t71 @t43 (= @t69 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 0.53/0.76 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 0.53/0.76 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t73)))))))) % 0.53/0.76 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t46) @t73)))))))) % 0.53/0.76 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2))))))) % 0.53/0.76 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 0.53/0.76 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t70 @t41))))))) % 0.53/0.76 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.53/0.76 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 0.53/0.76 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 0.53/0.76 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 (tptp.geq @t1 @t2)) @t3)))))) % 0.53/0.76 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.53/0.76 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.53/0.76 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.53/0.76 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t35) @t52)))))))) % 0.53/0.76 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t48 (or @t3 @t51))))))) % 0.53/0.76 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t51 (and @t4 @t48))))))) % 0.53/0.76 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t53 (not (tptp.gt @t1 @t2)))))))) % 0.53/0.76 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.53/0.76 (assume @p96 @t147) % 0.53/0.76 (assume @p97 true) % 0.53/0.76 (step @p98 :rule aci_norm :args ((= @t187 @t185))) % 0.53/0.76 (step @p99 :rule cong :premises (@p98) :args (@t189)) % 0.53/0.76 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t191) @t189))) % 0.53/0.76 (step @p101 :rule alpha_equiv :args (@t192 (@list @t163 @t148) @t195)) % 0.53/0.76 (step @p102 :rule refl :args (@t183)) % 0.53/0.76 (step @p103 :rule refl :args (@t184)) % 0.53/0.76 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t196)) 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@t487 @t478 @t482 @t491))) % 0.53/0.76 ) % 0.53/0.76 % SZS output end Proof % 0.53/0.76 % cvc5 exiting %------------------------------------------------------------------------------