%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC416+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:14 AM UTC 2026 % Result : Theorem 0.53s 0.71s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC416+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:47:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.71 % SZS status Theorem % 0.53/0.71 % SZS output start Proof % 0.53/0.71 ( % 0.53/0.71 (declare-sort $$unsorted 0) % 0.53/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.53/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.53/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.71 (declare-const tptp.nil $$unsorted) % 0.53/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (define @t1 () (@var "V" $$unsorted)) % 0.53/0.71 (define @t2 () (@var "U" $$unsorted)) % 0.53/0.71 (define @t3 () (= @t2 @t1)) % 0.53/0.71 (define @t4 () (not @t3)) % 0.53/0.71 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.53/0.71 (define @t6 () (tptp.ssItem @t1)) % 0.53/0.71 (define @t7 () (@list @t1)) % 0.53/0.71 (define @t8 () (tptp.ssItem @t2)) % 0.53/0.71 (define @t9 () (@list @t2)) % 0.53/0.71 (define @t10 () (@var "X" $$unsorted)) % 0.53/0.71 (define @t11 () (tptp.cons @t1 @t10)) % 0.53/0.71 (define @t12 () (@var "W" $$unsorted)) % 0.53/0.71 (define @t13 () (tptp.ssList @t10)) % 0.53/0.71 (define @t14 () (@list @t10)) % 0.53/0.71 (define @t15 () (tptp.ssList @t12)) % 0.53/0.71 (define @t16 () (@list @t12)) % 0.53/0.71 (define @t17 () (tptp.ssList @t2)) % 0.53/0.71 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.53/0.71 (define @t19 () (tptp.app @t1 @t12)) % 0.53/0.71 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.53/0.71 (define @t21 () (tptp.ssList @t1)) % 0.53/0.71 (define @t22 () (tptp.app @t12 @t1)) % 0.53/0.71 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.53/0.71 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.53/0.71 (define @t25 () (tptp.leq @t12 @t1)) % 0.53/0.71 (define @t26 () (tptp.leq @t1 @t12)) % 0.53/0.71 (define @t27 () (@var "Z" $$unsorted)) % 0.53/0.71 (define @t28 () (@var "Y" $$unsorted)) % 0.53/0.71 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.53/0.71 (define @t30 () (tptp.ssList @t27)) % 0.53/0.71 (define @t31 () (@list @t27)) % 0.53/0.71 (define @t32 () (tptp.ssList @t28)) % 0.53/0.71 (define @t33 () (@list @t28)) % 0.53/0.71 (define @t34 () (tptp.ssItem @t12)) % 0.53/0.71 (define @t35 () (tptp.lt @t1 @t12)) % 0.53/0.71 (define @t36 () (= @t1 @t12)) % 0.53/0.71 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.53/0.71 (define @t38 () (=> @t17 @t37)) % 0.53/0.71 (define @t39 () (forall @t9 @t38)) % 0.53/0.71 (define @t40 () (tptp.cons @t1 @t2)) % 0.53/0.71 (define @t41 () (tptp.ssList @t40)) % 0.53/0.71 (define @t42 () (forall @t7 (=> @t6 @t41))) % 0.53/0.71 (define @t43 () (=> @t17 @t42)) % 0.53/0.71 (define @t44 () (forall @t9 @t43)) % 0.53/0.71 (define @t45 () (tptp.ssList tptp.nil)) % 0.53/0.71 (define @t46 () (not (= @t40 @t2))) % 0.53/0.71 (define @t47 () (=> @t6 @t46)) % 0.53/0.71 (define @t48 () (forall @t7 @t47)) % 0.53/0.71 (define @t49 () (=> @t17 @t48)) % 0.53/0.71 (define @t50 () (forall @t9 @t49)) % 0.53/0.71 (define @t51 () (= @t1 @t2)) % 0.53/0.71 (define @t52 () (tptp.cons @t12 @t1)) % 0.53/0.71 (define @t53 () (= tptp.nil @t2)) % 0.53/0.71 (define @t54 () (tptp.hd @t2)) % 0.53/0.71 (define @t55 () (tptp.ssItem @t54)) % 0.53/0.71 (define @t56 () (not @t53)) % 0.53/0.71 (define @t57 () (=> @t56 @t55)) % 0.53/0.71 (define @t58 () (=> @t17 @t57)) % 0.53/0.71 (define @t59 () (forall @t9 @t58)) % 0.53/0.71 (define @t60 () (tptp.hd @t40)) % 0.53/0.71 (define @t61 () (=> @t6 (= @t60 @t1))) % 0.53/0.71 (define @t62 () (forall @t7 @t61)) % 0.53/0.71 (define @t63 () (=> @t17 @t62)) % 0.53/0.71 (define @t64 () (forall @t9 @t63)) % 0.53/0.71 (define @t65 () (tptp.tl @t2)) % 0.53/0.71 (define @t66 () (tptp.app @t2 @t1)) % 0.53/0.71 (define @t67 () (tptp.app @t1 @t2)) % 0.53/0.71 (define @t68 () (tptp.leq @t1 @t2)) % 0.53/0.71 (define @t69 () (tptp.leq @t2 @t1)) % 0.53/0.71 (define @t70 () (tptp.geq @t2 @t1)) % 0.53/0.71 (define @t71 () (tptp.lt @t1 @t2)) % 0.53/0.71 (define @t72 () (tptp.lt @t2 @t1)) % 0.53/0.71 (define @t73 () (tptp.lt @t2 @t12)) % 0.53/0.71 (define @t74 () (tptp.gt @t2 @t1)) % 0.53/0.71 (define @t75 () (tptp.memberP @t12 @t2)) % 0.53/0.71 (define @t76 () (tptp.app @t12 @t2)) % 0.53/0.71 (define @t77 () (tptp.cons @t2 tptp.nil)) % 0.53/0.71 (define @t78 () (tptp.hd @t1)) % 0.53/0.71 (define @t79 () (= tptp.nil @t1)) % 0.53/0.71 (define @t80 () (not @t79)) % 0.53/0.71 (define @t81 () (tptp.cons @t2 @t1)) % 0.53/0.71 (define @t82 () (= @t12 @t2)) % 0.53/0.71 (define @t83 () (tptp.hd @t66)) % 0.53/0.71 (define @t84 () (=> @t56 (= @t83 @t54))) % 0.53/0.71 (define @t85 () (=> @t21 @t84)) % 0.53/0.71 (define @t86 () (forall @t7 @t85)) % 0.53/0.71 (define @t87 () (=> @t17 @t86)) % 0.53/0.71 (define @t88 () (forall @t9 @t87)) % 0.53/0.71 (define @t89 () (tptp.neq @t1 tptp.nil)) % 0.53/0.71 (define @t90 () (not @t89)) % 0.53/0.71 (define @t91 () (or @t90 (tptp.neq @t10 tptp.nil))) % 0.53/0.71 (define @t92 () (@var "X2" $$unsorted)) % 0.53/0.71 (define @t93 () (tptp.app (tptp.cons @t92 tptp.nil) @t12)) % 0.53/0.71 (define @t94 () (not (= @t93 @t10))) % 0.53/0.71 (define @t95 () (tptp.ssItem @t92)) % 0.53/0.71 (define @t96 () (=> @t95 @t94)) % 0.53/0.71 (define @t97 () (@list @t92)) % 0.53/0.71 (define @t98 () (forall @t97 @t96)) % 0.53/0.71 (define @t99 () (tptp.neq tptp.nil @t1)) % 0.53/0.71 (define @t100 () (@var "X1" $$unsorted)) % 0.53/0.71 (define @t101 () (= @t78 @t100)) % 0.53/0.71 (define @t102 () (tptp.cons @t100 tptp.nil)) % 0.53/0.71 (define @t103 () (tptp.ssItem @t100)) % 0.53/0.71 (define @t104 () (and @t103 (= @t102 @t27) @t101 @t99)) % 0.53/0.71 (define @t105 () (@list @t100)) % 0.53/0.71 (define @t106 () (exists @t105 @t104)) % 0.53/0.71 (define @t107 () (tptp.app @t27 @t2)) % 0.53/0.71 (define @t108 () (and @t30 (= @t107 @t28) @t106)) % 0.53/0.71 (define @t109 () (exists @t31 @t108)) % 0.53/0.71 (define @t110 () (= @t1 @t28)) % 0.53/0.71 (define @t111 () (and @t32 @t110 @t109)) % 0.53/0.71 (define @t112 () (exists @t33 @t111)) % 0.53/0.71 (define @t113 () (or @t90 @t112 @t98)) % 0.53/0.71 (define @t114 () (and @t113 @t91)) % 0.53/0.71 (define @t115 () (not (= @t2 @t12))) % 0.53/0.71 (define @t116 () (not (= @t1 @t10))) % 0.53/0.71 (define @t117 () (or @t116 @t115 @t114)) % 0.53/0.71 (define @t118 () (=> @t13 @t117)) % 0.53/0.71 (define @t119 () (forall @t14 @t118)) % 0.53/0.71 (define @t120 () (=> @t15 @t119)) % 0.53/0.71 (define @t121 () (forall @t16 @t120)) % 0.53/0.71 (define @t122 () (=> @t21 @t121)) % 0.53/0.71 (define @t123 () (forall @t7 @t122)) % 0.53/0.71 (define @t124 () (=> @t17 @t123)) % 0.53/0.71 (define @t125 () (forall @t9 @t124)) % 0.53/0.71 (define @t126 () (not @t125)) % 0.53/0.71 (define @t127 () (@var "BOUND_VARIABLE_11155" $$unsorted)) % 0.53/0.71 (define @t128 () (not (tptp.ssItem @t127))) % 0.53/0.71 (define @t129 () (tptp.app (tptp.cons @t127 tptp.nil) @t2)) % 0.53/0.71 (define @t130 () (tptp.hd @t129)) % 0.53/0.71 (define @t131 () (tptp.cons @t130 tptp.nil)) % 0.53/0.71 (define @t132 () (tptp.ssList @t129)) % 0.53/0.71 (define @t133 () (and (tptp.neq tptp.nil @t129) (tptp.ssItem @t130) (tptp.ssList @t131) @t132 (= @t129 (tptp.app @t131 @t2)))) % 0.53/0.71 (define @t134 () (not (tptp.neq @t129 tptp.nil))) % 0.53/0.71 (define @t135 () (not @t132)) % 0.53/0.71 (define @t136 () (not @t17)) % 0.53/0.71 (define @t137 () (or @t136 @t135 @t134 @t133 @t128)) % 0.53/0.71 (define @t138 () (or @t135 @t134 @t133 @t128)) % 0.53/0.71 (define @t139 () (or @t136 @t138)) % 0.53/0.71 (define @t140 () (@list @t2 @t127)) % 0.53/0.71 (define @t141 () (forall @t140 @t139)) % 0.53/0.71 (define @t142 () (@list @t127)) % 0.53/0.71 (define @t143 () (forall @t142 @t139)) % 0.53/0.71 (define @t144 () (forall @t142 @t138)) % 0.53/0.71 (define @t145 () (@var "BOUND_VARIABLE_11117" $$unsorted)) % 0.53/0.71 (define @t146 () (@list @t145)) % 0.53/0.71 (define @t147 () (or @t136 @t144)) % 0.53/0.71 (define @t148 () (not (tptp.ssItem @t145))) % 0.53/0.71 (define @t149 () (tptp.app (tptp.cons @t145 tptp.nil) @t2)) % 0.53/0.71 (define @t150 () (tptp.hd @t149)) % 0.53/0.71 (define @t151 () (tptp.cons @t150 tptp.nil)) % 0.53/0.71 (define @t152 () (tptp.ssList @t149)) % 0.53/0.71 (define @t153 () (and (tptp.neq tptp.nil @t149) (tptp.ssItem @t150) (tptp.ssList @t151) @t152 (= @t149 (tptp.app @t151 @t2)))) % 0.53/0.71 (define @t154 () (not (tptp.neq @t149 tptp.nil))) % 0.53/0.71 (define @t155 () (not @t152)) % 0.53/0.71 (define @t156 () (or @t155 @t154 @t153 @t148)) % 0.53/0.71 (define @t157 () (@list @t145)) % 0.53/0.71 (define @t158 () (or @t136 (forall @t157 @t156))) % 0.53/0.71 (define @t159 () (not (= @t149 @t149))) % 0.53/0.71 (define @t160 () (or @t155 @t154 @t153 @t148 @t159)) % 0.53/0.71 (define @t161 () (not (= @t1 @t149))) % 0.53/0.71 (define @t162 () (tptp.cons @t78 tptp.nil)) % 0.53/0.71 (define @t163 () (tptp.app @t162 @t2)) % 0.53/0.71 (define @t164 () (= @t1 @t163)) % 0.53/0.71 (define @t165 () (tptp.ssList @t162)) % 0.53/0.71 (define @t166 () (tptp.ssItem @t78)) % 0.53/0.71 (define @t167 () (and @t99 @t166 @t165 @t21 @t164)) % 0.53/0.71 (define @t168 () (not @t21)) % 0.53/0.71 (define @t169 () (or @t161 @t168 @t90 @t167 @t148 @t161)) % 0.53/0.71 (define @t170 () (or @t168 @t90 @t167 @t148 @t161)) % 0.53/0.71 (define @t171 () (forall @t7 @t170)) % 0.53/0.71 (define @t172 () (forall @t157 @t171)) % 0.53/0.71 (define @t173 () (forall (@list @t145 @t1) @t170)) % 0.53/0.71 (define @t174 () (@list @t1 @t145)) % 0.53/0.71 (define @t175 () (or @t148 @t161)) % 0.53/0.71 (define @t176 () (or @t168 @t90 @t167 @t175)) % 0.53/0.71 (define @t177 () (forall @t174 @t176)) % 0.53/0.71 (define @t178 () (forall @t157 @t176)) % 0.53/0.71 (define @t179 () (forall @t157 @t175)) % 0.53/0.71 (define @t180 () (@var "BOUND_VARIABLE_11081" $$unsorted)) % 0.53/0.71 (define @t181 () (@list @t180)) % 0.53/0.71 (define @t182 () (or @t168 @t90 @t167 @t179)) % 0.53/0.71 (define @t183 () (tptp.cons @t180 tptp.nil)) % 0.53/0.71 (define @t184 () (not (= @t1 (tptp.app @t183 @t2)))) % 0.53/0.71 (define @t185 () (not (tptp.ssItem @t180))) % 0.53/0.71 (define @t186 () (or @t185 @t184)) % 0.53/0.71 (define @t187 () (@list @t180)) % 0.53/0.71 (define @t188 () (forall @t187 @t186)) % 0.53/0.71 (define @t189 () (or @t168 @t90 @t167 @t188)) % 0.53/0.71 (define @t190 () (forall @t7 @t189)) % 0.53/0.71 (define @t191 () (or @t136 @t190)) % 0.53/0.71 (define @t192 () (or @t136 @t189)) % 0.53/0.71 (define @t193 () (or @t168 @t90 @t167 @t136 @t188)) % 0.53/0.71 (define @t194 () (or @t136 @t188)) % 0.53/0.71 (define @t195 () (or @t136 @t186)) % 0.53/0.71 (define @t196 () (or @t136 @t185 @t184)) % 0.53/0.71 (define @t197 () (not (= @t2 @t2))) % 0.53/0.71 (define @t198 () (or @t136 @t197 @t185 @t184)) % 0.53/0.71 (define @t199 () (not (= @t1 (tptp.app @t183 @t12)))) % 0.53/0.71 (define @t200 () (not @t15)) % 0.53/0.71 (define @t201 () (or @t115 @t200 @t115 @t185 @t199)) % 0.53/0.71 (define @t202 () (or @t200 @t115 @t185 @t199)) % 0.53/0.71 (define @t203 () (forall @t16 @t202)) % 0.53/0.71 (define @t204 () (forall @t187 @t203)) % 0.53/0.71 (define @t205 () (forall (@list @t180 @t12) @t202)) % 0.53/0.71 (define @t206 () (@list @t12 @t180)) % 0.53/0.71 (define @t207 () (or @t185 @t199)) % 0.53/0.71 (define @t208 () (or @t200 @t115 @t207)) % 0.53/0.71 (define @t209 () (forall @t206 @t208)) % 0.53/0.71 (define @t210 () (forall @t187 @t208)) % 0.53/0.71 (define @t211 () (forall @t187 @t207)) % 0.53/0.71 (define @t212 () (@var "BOUND_VARIABLE_11034" $$unsorted)) % 0.53/0.71 (define @t213 () (@list @t212)) % 0.53/0.71 (define @t214 () (or @t200 @t115 @t211)) % 0.53/0.71 (define @t215 () (tptp.app (tptp.cons @t212 tptp.nil) @t12)) % 0.53/0.71 (define @t216 () (not (= @t1 @t215))) % 0.53/0.71 (define @t217 () (not (tptp.ssItem @t212))) % 0.53/0.71 (define @t218 () (or @t217 @t216)) % 0.53/0.71 (define @t219 () (@list @t212)) % 0.53/0.71 (define @t220 () (forall @t219 @t218)) % 0.53/0.71 (define @t221 () (or @t200 @t115 @t220)) % 0.53/0.71 (define @t222 () (forall @t16 @t221)) % 0.53/0.71 (define @t223 () (or @t168 @t90 @t167 @t222)) % 0.53/0.71 (define @t224 () (or @t168 @t90 @t167 @t221)) % 0.53/0.71 (define @t225 () (or @t200 @t115 @t168 @t90 @t167 @t220)) % 0.53/0.71 (define @t226 () (or @t115 @t168 @t90 @t167 @t220)) % 0.53/0.71 (define @t227 () (or @t168 @t90 @t167 @t220)) % 0.53/0.71 (define @t228 () (or @t168 @t90 @t167 @t218)) % 0.53/0.71 (define @t229 () (or @t168 @t90 @t167 @t217 @t216)) % 0.53/0.71 (define @t230 () (or @t90 @t167 @t217 @t216)) % 0.53/0.71 (define @t231 () (and @t230 true)) % 0.53/0.71 (define @t232 () (or @t168 @t231)) % 0.53/0.71 (define @t233 () (and @t230 (or @t90 @t89))) % 0.53/0.71 (define @t234 () (or @t168 @t233)) % 0.53/0.71 (define @t235 () (not (= @t1 @t1))) % 0.53/0.71 (define @t236 () (or @t168 @t235 @t233)) % 0.53/0.71 (define @t237 () (not (= @t10 @t215))) % 0.53/0.71 (define @t238 () (or @t90 @t167 @t217 @t237)) % 0.53/0.71 (define @t239 () (and @t238 @t91)) % 0.53/0.71 (define @t240 () (not @t13)) % 0.53/0.71 (define @t241 () (or @t116 @t240 @t116 @t239)) % 0.53/0.71 (define @t242 () (or @t240 @t116 @t239)) % 0.53/0.71 (define @t243 () (forall @t14 @t242)) % 0.53/0.71 (define @t244 () (forall @t219 @t243)) % 0.53/0.71 (define @t245 () (forall (@list @t212 @t10) @t242)) % 0.53/0.71 (define @t246 () (@list @t10 @t212)) % 0.53/0.71 (define @t247 () (or @t217 @t237)) % 0.53/0.71 (define @t248 () (or @t90 @t167 @t247)) % 0.53/0.71 (define @t249 () (and @t248 @t91)) % 0.53/0.71 (define @t250 () (or @t240 @t116 @t249)) % 0.53/0.71 (define @t251 () (forall @t246 @t250)) % 0.53/0.71 (define @t252 () (forall @t219 @t250)) % 0.53/0.71 (define @t253 () (forall @t219 @t91)) % 0.53/0.71 (define @t254 () (forall @t219 @t247)) % 0.53/0.71 (define @t255 () (or @t90 @t167 @t254)) % 0.53/0.71 (define @t256 () (forall @t219 @t248)) % 0.53/0.71 (define @t257 () (and @t256 @t253)) % 0.53/0.71 (define @t258 () (forall @t219 @t249)) % 0.53/0.71 (define @t259 () (or @t240 @t116 @t258)) % 0.53/0.71 (define @t260 () (not (= @t10 @t93))) % 0.53/0.71 (define @t261 () (forall @t97 (or (not @t95) @t260))) % 0.53/0.71 (define @t262 () (and (or @t90 @t167 @t261) @t91)) % 0.53/0.71 (define @t263 () (or @t240 @t116 @t262)) % 0.53/0.71 (define @t264 () (forall @t14 @t263)) % 0.53/0.71 (define @t265 () (or @t115 @t264)) % 0.53/0.71 (define @t266 () (or @t115 @t263)) % 0.53/0.71 (define @t267 () (or @t240 @t116 @t115 @t262)) % 0.53/0.71 (define @t268 () (not @t164)) % 0.53/0.71 (define @t269 () (not @t268)) % 0.53/0.71 (define @t270 () (not @t168)) % 0.53/0.71 (define @t271 () (not @t165)) % 0.53/0.71 (define @t272 () (not @t271)) % 0.53/0.71 (define @t273 () (not @t166)) % 0.53/0.71 (define @t274 () (not @t273)) % 0.53/0.71 (define @t275 () (not @t99)) % 0.53/0.71 (define @t276 () (not @t275)) % 0.53/0.71 (define @t277 () (and @t276 @t274 @t272 @t270 @t269)) % 0.53/0.71 (define @t278 () (or @t168 @t268)) % 0.53/0.71 (define @t279 () (or @t275 @t273 @t271 @t168 @t268)) % 0.53/0.71 (define @t280 () (or @t90 (not @t279) @t261)) % 0.53/0.71 (define @t281 () (and @t280 @t91)) % 0.53/0.71 (define @t282 () (or @t116 @t115 @t281)) % 0.53/0.71 (define @t283 () (or @t168 @t235 @t268)) % 0.53/0.71 (define @t284 () (not (= @t28 @t163))) % 0.53/0.71 (define @t285 () (not @t110)) % 0.53/0.71 (define @t286 () (not @t32)) % 0.53/0.71 (define @t287 () (or @t285 @t286 @t285 @t284)) % 0.53/0.71 (define @t288 () (or @t286 @t285 @t284)) % 0.53/0.71 (define @t289 () (forall @t33 @t288)) % 0.53/0.71 (define @t290 () (or @t275 @t273 @t271 @t289)) % 0.53/0.71 (define @t291 () (or @t275 @t273 @t271 @t288)) % 0.53/0.71 (define @t292 () (or @t286 @t285 @t275 @t273 @t271 @t284)) % 0.53/0.71 (define @t293 () (or @t275 @t273 @t271 @t284)) % 0.53/0.71 (define @t294 () (not @t293)) % 0.53/0.71 (define @t295 () (not @t294)) % 0.53/0.71 (define @t296 () (or @t286 @t285 @t295)) % 0.53/0.71 (define @t297 () (and @t32 @t110 @t294)) % 0.53/0.71 (define @t298 () (forall @t33 (not @t297))) % 0.53/0.71 (define @t299 () (not @t298)) % 0.53/0.71 (define @t300 () (or @t271 @t284)) % 0.53/0.71 (define @t301 () (not (= @t162 @t162))) % 0.53/0.71 (define @t302 () (or @t271 @t284 @t301)) % 0.53/0.71 (define @t303 () (not (= @t27 @t162))) % 0.53/0.71 (define @t304 () (= @t28 @t107)) % 0.53/0.71 (define @t305 () (not @t304)) % 0.53/0.71 (define @t306 () (not @t30)) % 0.53/0.71 (define @t307 () (or @t303 @t306 @t305 @t303)) % 0.53/0.71 (define @t308 () (or @t306 @t305 @t303)) % 0.53/0.71 (define @t309 () (forall @t31 @t308)) % 0.53/0.71 (define @t310 () (or @t275 @t273 @t309)) % 0.53/0.71 (define @t311 () (or @t275 @t273 @t308)) % 0.53/0.71 (define @t312 () (or @t306 @t305 @t275 @t273 @t303)) % 0.53/0.71 (define @t313 () (or @t275 @t273 @t303)) % 0.53/0.71 (define @t314 () (not @t313)) % 0.53/0.71 (define @t315 () (not @t314)) % 0.53/0.71 (define @t316 () (or @t306 @t305 @t315)) % 0.53/0.71 (define @t317 () (and @t30 @t304 @t314)) % 0.53/0.71 (define @t318 () (forall @t31 (not @t317))) % 0.53/0.71 (define @t319 () (not @t318)) % 0.53/0.71 (define @t320 () (or @t273 @t303)) % 0.53/0.71 (define @t321 () (not (= @t78 @t78))) % 0.53/0.71 (define @t322 () (or @t273 @t303 @t321)) % 0.53/0.71 (define @t323 () (not @t101)) % 0.53/0.71 (define @t324 () (= @t27 @t102)) % 0.53/0.71 (define @t325 () (not @t324)) % 0.53/0.71 (define @t326 () (not @t103)) % 0.53/0.71 (define @t327 () (or @t323 @t326 @t325 @t323)) % 0.53/0.71 (define @t328 () (or @t326 @t325 @t323)) % 0.53/0.71 (define @t329 () (forall @t105 @t328)) % 0.53/0.71 (define @t330 () (or @t275 @t329)) % 0.53/0.71 (define @t331 () (or @t275 @t328)) % 0.53/0.71 (define @t332 () (or @t326 @t325 @t323 @t275)) % 0.53/0.71 (define @t333 () (and @t103 @t324 @t101 @t99)) % 0.53/0.71 (define @t334 () (forall @t105 (not @t333))) % 0.53/0.71 (define @t335 () (not @t334)) % 0.53/0.71 (define @t336 () (forall @t140 @t137)) % 0.53/0.71 (define @t337 () (@quantifiers_skolemize @t336 1)) % 0.53/0.71 (define @t338 () (tptp.ssItem @t337)) % 0.53/0.71 (define @t339 () (not @t338)) % 0.53/0.71 (define @t340 () (@quantifiers_skolemize @t336 0)) % 0.53/0.71 (define @t341 () (tptp.cons @t337 tptp.nil)) % 0.53/0.71 (define @t342 () (tptp.app @t341 @t340)) % 0.53/0.71 (define @t343 () (tptp.hd @t342)) % 0.53/0.71 (define @t344 () (tptp.cons @t343 tptp.nil)) % 0.53/0.71 (define @t345 () (= @t342 (tptp.app @t344 @t340))) % 0.53/0.71 (define @t346 () (tptp.ssList @t342)) % 0.53/0.71 (define @t347 () (tptp.ssList @t344)) % 0.53/0.71 (define @t348 () (tptp.ssItem @t343)) % 0.53/0.71 (define @t349 () (tptp.neq tptp.nil @t342)) % 0.53/0.71 (define @t350 () (and @t349 @t348 @t347 @t346 @t345)) % 0.53/0.71 (define @t351 () (tptp.neq @t342 tptp.nil)) % 0.53/0.71 (define @t352 () (not @t351)) % 0.53/0.71 (define @t353 () (not @t346)) % 0.53/0.71 (define @t354 () (tptp.ssList @t340)) % 0.53/0.71 (define @t355 () (not @t354)) % 0.53/0.71 (define @t356 () (or @t355 @t353 @t352 @t350 @t339)) % 0.53/0.71 (define @t357 () (@list true)) % 0.53/0.71 (define @t358 () (@list @t356)) % 0.53/0.71 (define @t359 () (= @t2 tptp.nil)) % 0.53/0.71 (define @t360 () (or @t136 @t359 @t55)) % 0.53/0.71 (define @t361 () (not @t359)) % 0.53/0.71 (define @t362 () (not @t361)) % 0.53/0.71 (define @t363 () (=> @t361 @t55)) % 0.53/0.71 (define @t364 () (= @t342 tptp.nil)) % 0.53/0.71 (define @t365 () (or @t353 @t364 @t348)) % 0.53/0.71 (define @t366 () (forall @t9 @t360)) % 0.53/0.71 (define @t367 () (= tptp.nil @t342)) % 0.53/0.71 (define @t368 () (or @t353 @t367 @t348)) % 0.53/0.71 (define @t369 () (@list false)) % 0.53/0.71 (define @t370 () (@var "BOUND_VARIABLE_9118" $$unsorted)) % 0.53/0.71 (define @t371 () (= (tptp.neq @t2 @t370) (not (= @t2 @t370)))) % 0.53/0.71 (define @t372 () (not (tptp.ssList @t370))) % 0.53/0.71 (define @t373 () (or @t136 @t372 @t371)) % 0.53/0.71 (define @t374 () (or @t372 @t371)) % 0.53/0.71 (define @t375 () (or @t136 @t374)) % 0.53/0.71 (define @t376 () (@list @t2 @t370)) % 0.53/0.71 (define @t377 () (forall @t376 @t375)) % 0.53/0.71 (define @t378 () (@list @t370)) % 0.53/0.71 (define @t379 () (forall @t378 @t375)) % 0.53/0.71 (define @t380 () (forall @t378 @t374)) % 0.53/0.71 (define @t381 () (@list @t1)) % 0.53/0.71 (define @t382 () (or @t136 @t380)) % 0.53/0.71 (define @t383 () (forall @t7 (or @t168 @t5))) % 0.53/0.71 (define @t384 () (not @t364)) % 0.53/0.71 (define @t385 () (= @t351 @t384)) % 0.53/0.71 (define @t386 () (not @t45)) % 0.53/0.71 (define @t387 () (or @t353 @t386 @t385)) % 0.53/0.71 (define @t388 () (forall @t376 @t373)) % 0.53/0.71 (define @t389 () (not @t367)) % 0.53/0.71 (define @t390 () (= @t351 @t389)) % 0.53/0.71 (define @t391 () (or @t353 @t386 @t390)) % 0.53/0.71 (define @t392 () (@list false false false)) % 0.53/0.71 (define @t393 () (= @t349 @t389)) % 0.53/0.71 (define @t394 () (or @t386 @t353 @t393)) % 0.53/0.71 (define @t395 () (not @t393)) % 0.53/0.71 (define @t396 () (@var "BOUND_VARIABLE_9139" $$unsorted)) % 0.53/0.71 (define @t397 () (tptp.ssList (tptp.cons @t396 @t2))) % 0.53/0.71 (define @t398 () (not (tptp.ssItem @t396))) % 0.53/0.71 (define @t399 () (or @t398 @t397)) % 0.53/0.71 (define @t400 () (or @t136 @t399)) % 0.53/0.71 (define @t401 () (forall (@list @t2 @t396) @t400)) % 0.53/0.71 (define @t402 () (@list @t396)) % 0.53/0.71 (define @t403 () (forall @t402 @t400)) % 0.53/0.71 (define @t404 () (forall @t402 @t399)) % 0.53/0.71 (define @t405 () (or @t136 @t404)) % 0.53/0.71 (define @t406 () (not @t6)) % 0.53/0.71 (define @t407 () (forall @t7 (or @t406 @t41))) % 0.53/0.71 (define @t408 () (@list tptp.nil @t337)) % 0.53/0.71 (define @t409 () (tptp.ssList @t341)) % 0.53/0.71 (define @t410 () (or @t386 @t339 @t409)) % 0.53/0.71 (define @t411 () (@var "BOUND_VARIABLE_9333" $$unsorted)) % 0.53/0.71 (define @t412 () (= @t411 (tptp.hd (tptp.cons @t411 @t2)))) % 0.53/0.71 (define @t413 () (not (tptp.ssItem @t411))) % 0.53/0.71 (define @t414 () (or @t413 @t412)) % 0.53/0.71 (define @t415 () (or @t136 @t414)) % 0.53/0.71 (define @t416 () (forall (@list @t2 @t411) @t415)) % 0.53/0.71 (define @t417 () (@list @t411)) % 0.53/0.71 (define @t418 () (forall @t417 @t415)) % 0.53/0.71 (define @t419 () (forall @t417 @t414)) % 0.53/0.71 (define @t420 () (or @t136 @t419)) % 0.53/0.71 (define @t421 () (= @t1 @t60)) % 0.53/0.71 (define @t422 () (forall @t7 (or @t406 @t421))) % 0.53/0.71 (define @t423 () (tptp.hd @t341)) % 0.53/0.71 (define @t424 () (= @t337 @t423)) % 0.53/0.71 (define @t425 () (or @t386 @t339 @t424)) % 0.53/0.71 (define @t426 () (@var "BOUND_VARIABLE_10651" $$unsorted)) % 0.53/0.71 (define @t427 () (= @t54 (tptp.hd (tptp.app @t2 @t426)))) % 0.53/0.71 (define @t428 () (not (tptp.ssList @t426))) % 0.53/0.71 (define @t429 () (or @t136 @t359 @t428 @t427)) % 0.53/0.71 (define @t430 () (or @t428 @t427)) % 0.53/0.71 (define @t431 () (or @t136 @t359 @t430)) % 0.53/0.71 (define @t432 () (@list @t2 @t426)) % 0.53/0.71 (define @t433 () (forall @t432 @t431)) % 0.53/0.71 (define @t434 () (@list @t426)) % 0.53/0.71 (define @t435 () (forall @t434 @t431)) % 0.53/0.71 (define @t436 () (forall @t434 @t430)) % 0.53/0.71 (define @t437 () (or @t136 @t359 @t436)) % 0.53/0.71 (define @t438 () (= @t54 @t83)) % 0.53/0.71 (define @t439 () (or @t168 @t438)) % 0.53/0.71 (define @t440 () (forall @t7 @t439)) % 0.53/0.71 (define @t441 () (or @t136 @t359 @t440)) % 0.53/0.71 (define @t442 () (or @t359 @t440)) % 0.53/0.71 (define @t443 () (or @t359 @t439)) % 0.53/0.71 (define @t444 () (or @t168 @t359 @t438)) % 0.53/0.71 (define @t445 () (=> @t361 @t438)) % 0.53/0.71 (define @t446 () (not @t409)) % 0.53/0.71 (define @t447 () (or @t446 (= @t341 tptp.nil) @t355 (= @t423 @t343))) % 0.53/0.71 (define @t448 () (forall @t432 @t429)) % 0.53/0.71 (define @t449 () (= @t343 @t423)) % 0.53/0.71 (define @t450 () (= tptp.nil @t341)) % 0.53/0.71 (define @t451 () (or @t446 @t450 @t355 @t449)) % 0.53/0.71 (define @t452 () (@var "BOUND_VARIABLE_9162" $$unsorted)) % 0.53/0.71 (define @t453 () (not (= @t2 (tptp.cons @t452 @t2)))) % 0.53/0.72 (define @t454 () (not (tptp.ssItem @t452))) % 0.53/0.72 (define @t455 () (or @t454 @t453)) % 0.53/0.72 (define @t456 () (or @t136 @t455)) % 0.53/0.72 (define @t457 () (forall (@list @t2 @t452) @t456)) % 0.53/0.72 (define @t458 () (@list @t452)) % 0.53/0.72 (define @t459 () (forall @t458 @t456)) % 0.53/0.72 (define @t460 () (forall @t458 @t455)) % 0.53/0.72 (define @t461 () (or @t136 @t460)) % 0.53/0.72 (define @t462 () (not (= @t2 @t40))) % 0.53/0.72 (define @t463 () (forall @t7 (or @t406 @t462))) % 0.53/0.72 (define @t464 () (not @t450)) % 0.53/0.72 (define @t465 () (or @t386 @t339 @t464)) % 0.53/0.72 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.53/0.72 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.53/0.72 (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))))))))))) % 0.53/0.72 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.53/0.72 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.53/0.72 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.53/0.72 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.53/0.72 (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))))))))))))))))) % 0.53/0.72 (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)))))))))))))))) % 0.53/0.72 (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))))))))))))))))) % 0.53/0.72 (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))))))))))))))) % 0.53/0.72 (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))))))))))))))) % 0.53/0.72 (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)))))))))))))))) % 0.53/0.72 (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))))))))))))) % 0.53/0.72 (assume @p15 @t39) % 0.53/0.72 (assume @p16 @t44) % 0.53/0.72 (assume @p17 @t45) % 0.53/0.72 (assume @p18 @t50) % 0.53/0.72 (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))))))))))) % 0.53/0.72 (assume @p20 (forall @t9 (=> @t17 (or @t53 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t52 @t2))))))))) % 0.53/0.72 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.53/0.72 (assume @p22 @t59) % 0.53/0.72 (assume @p23 @t64) % 0.53/0.72 (assume @p24 (forall @t9 (=> @t17 (=> @t56 (tptp.ssList @t65))))) % 0.53/0.72 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.53/0.72 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t66)))))) % 0.53/0.72 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t67) (tptp.app @t52 @t2))))))))) % 0.53/0.72 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.53/0.72 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t69 @t68) @t3)))))) % 0.53/0.72 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t69 @t26) (tptp.leq @t2 @t12))))))))) % 0.53/0.72 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.53/0.72 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 @t68)))))) % 0.53/0.72 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (not @t71))))))) % 0.53/0.72 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 @t35) @t73)))))))) % 0.53/0.72 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t74 @t71)))))) % 0.53/0.72 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t75))))))))) % 0.53/0.72 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t75))))))))) % 0.53/0.72 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.53/0.72 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.53/0.72 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.53/0.72 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.53/0.72 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.53/0.72 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.53/0.72 (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)))))))))))) % 0.53/0.72 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.53/0.72 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t53)))) % 0.53/0.72 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.53/0.72 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.53/0.72 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.53/0.72 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t76 @t1))))))))) % 0.53/0.72 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.53/0.72 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t53)))) % 0.53/0.72 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.53/0.72 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.53/0.72 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.53/0.72 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t76 @t10) @t1))))))))))) % 0.53/0.72 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.53/0.72 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t53)))) % 0.53/0.72 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t77)))) % 0.53/0.72 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.53/0.72 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t77)))) % 0.53/0.72 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.53/0.72 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t77)))) % 0.53/0.72 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.53/0.72 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t77)))) % 0.53/0.72 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.53/0.72 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t81) (or @t79 (and @t80 (tptp.totalorderedP @t1) (tptp.leq @t2 @t78))))))))) % 0.53/0.72 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t77)))) % 0.53/0.72 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.53/0.72 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t81) (or @t79 (and @t80 (tptp.strictorderedP @t1) (tptp.lt @t2 @t78))))))))) % 0.53/0.72 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t77)))) % 0.53/0.72 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.53/0.72 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t77)))) % 0.53/0.72 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.53/0.72 (assume @p75 (forall @t9 (=> @t17 (=> @t56 (exists @t7 (and @t6 (= @t54 @t1))))))) % 0.53/0.72 (assume @p76 (forall @t9 (=> @t17 (=> @t56 (exists @t7 (and @t21 (= @t65 @t1))))))) % 0.53/0.72 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t80 @t56 (= @t78 @t54) (= (tptp.tl @t1) @t65)) @t51)))))) % 0.53/0.72 (assume @p78 (forall @t9 (=> @t17 (=> @t56 (= (tptp.cons @t54 @t65) @t2))))) % 0.53/0.72 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t66) @t82)))))))) % 0.53/0.72 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t67) @t82)))))))) % 0.53/0.72 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.53/0.72 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t66 @t12) (tptp.app @t2 @t19))))))))) % 0.53/0.72 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t66) (and @t79 @t53))))))) % 0.53/0.72 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.53/0.72 (assume @p85 @t88) % 0.53/0.72 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t56 (= (tptp.tl @t66) (tptp.app @t65 @t1)))))))) % 0.53/0.72 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t70 (tptp.geq @t1 @t2)) @t3)))))) % 0.53/0.72 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t70 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.53/0.72 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.53/0.72 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.53/0.72 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t69 @t35) @t73)))))))) % 0.53/0.72 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t69 (or @t3 @t72))))))) % 0.53/0.72 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 (and @t4 @t69))))))) % 0.53/0.72 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (not (tptp.gt @t1 @t2)))))))) % 0.53/0.72 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t74 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.53/0.72 (assume @p96 @t126) % 0.53/0.72 (assume @p97 true) % 0.53/0.72 (step @p98 :rule aci_norm :args ((= @t139 @t137))) % 0.53/0.72 (step @p99 :rule cong :premises (@p98) :args (@t141)) % 0.53/0.72 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t143) @t141))) % 0.53/0.72 (step @p101 :rule alpha_equiv :args (@t144 (@list @t127) @t146)) % 0.53/0.72 (step @p102 :rule refl :args (@t136)) % 0.53/0.72 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t147)) % 0.53/0.72 (step @p104 :rule quant-miniscope-or :args ((= @t143 @t147))) % 0.53/0.72 (step @p105 :rule trans :premises (@p104 @p103)) % 0.53/0.72 (step @p106 :rule symm :premises (@p105)) % 0.53/0.72 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 @t158))) % 0.53/0.72 (step @p108 :rule trans :premises (@p107 @p100)) % 0.53/0.72 (step @p109 :rule trans :premises (@p108 @p99)) % 0.53/0.72 (step @p110 :rule aci_norm :args ((= (or @t136 @t158) @t158))) % 0.53/0.72 (step @p111 :rule bool-impl-elim :args (@t17 @t158)) % 0.53/0.72 (step @p112 :rule trans :premises (@p111 @p110)) % 0.53/0.72 (step @p113 :rule cong :premises (@p112) :args ((forall @t9 (=> @t17 @t158)))) % 0.53/0.72 (step @p114 :rule trans :premises (@p113 @p109)) % 0.53/0.72 (step @p115 :rule aci_norm :args ((= (or @t155 @t154 @t153 @t148 false) @t156))) % 0.53/0.72 (step @p116 :rule evaluate :args ((not true))) % 0.53/0.72 (step @p117 :rule eq-refl :args (@t149)) % 0.53/0.72 (step @p118 :rule cong :premises (@p117) :args (@t159)) % 0.53/0.72 (step @p119 :rule trans :premises (@p118 @p116)) % 0.53/0.72 (step @p120 :rule refl :args (@t148)) % 0.53/0.72 (step @p121 :rule refl :args (@t153)) % 0.53/0.72 (step @p122 :rule refl :args (@t154)) % 0.53/0.72 (step @p123 :rule refl :args (@t155)) % 0.53/0.72 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p120 @p119) :args (@t160)) % 0.53/0.72 (step @p125 :rule trans :premises (@p124 @p115)) % 0.53/0.72 (step @p126 :rule cong :premises (@p125) :args ((forall @t157 @t160))) % 0.53/0.72 (step @p127 :rule quant-var-elim-eq :args ((= (forall @t7 @t169) @t160))) % 0.53/0.72 (step @p128 :rule aci_norm :args ((= @t170 @t169))) % 0.53/0.72 (step @p129 :rule cong :premises (@p128) :args (@t171)) % 0.53/0.72 (step @p130 :rule trans 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@p142 @p141) :args (@t182)) % 0.53/0.72 (step @p146 :rule quant-miniscope-or :args ((= @t178 @t182))) % 0.53/0.72 (step @p147 :rule trans :premises (@p146 @p145)) % 0.53/0.72 (step @p148 :rule symm :premises (@p147)) % 0.53/0.72 (step @p149 :rule cong :premises (@p148) :args (@t190)) % 0.53/0.72 (step @p150 :rule trans :premises (@p149 @p140)) % 0.53/0.72 (step @p151 :rule trans :premises (@p150 @p139)) % 0.53/0.72 (step @p152 :rule refl :args (@t136)) % 0.53/0.72 (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t191)) % 0.53/0.72 (step @p154 :rule quant-miniscope-or :args ((= (forall @t7 @t192) @t191))) % 0.53/0.72 (step @p155 :rule aci_norm :args ((= @t193 @t192))) % 0.53/0.72 (step @p156 :rule cong :premises (@p155) :args ((forall @t7 @t193))) % 0.53/0.72 (step @p157 :rule trans :premises (@p156 @p154)) % 0.53/0.72 (step @p158 :rule trans :premises (@p157 @p153)) % 0.53/0.72 (step @p159 :rule aci_norm :args ((= (or @t168 @t193) @t193))) % 0.53/0.72 (step @p160 :rule 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0.53/0.72 (step @p175 :rule nary_cong :premises (@p152 @p174 @p171 @p170) :args (@t198)) % 0.53/0.72 (step @p176 :rule trans :premises (@p175 @p169)) % 0.53/0.72 (step @p177 :rule cong :premises (@p176) :args ((forall @t187 @t198))) % 0.53/0.72 (step @p178 :rule trans :premises (@p177 @p168)) % 0.53/0.72 (step @p179 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t82) @t200 @t115 @t185 @t199)) @t198))) % 0.53/0.72 (step @p180 :rule refl :args (@t199)) % 0.53/0.72 (step @p181 :rule refl :args (@t185)) % 0.53/0.72 (step @p182 :rule refl :args (@t115)) % 0.53/0.72 (step @p183 :rule refl :args (@t200)) % 0.53/0.72 (step @p184 :rule eq-symm :args (@t2 @t12)) % 0.53/0.72 (step @p185 :rule cong :premises (@p184) :args (@t115)) % 0.53/0.72 (step @p186 :rule nary_cong :premises (@p185 @p183 @p182 @p181 @p180) :args (@t201)) % 0.53/0.72 (step @p187 :rule aci_norm :args ((= @t202 @t201))) % 0.53/0.72 (step @p188 :rule trans :premises (@p187 @p186)) % 0.53/0.72 (step @p189 :rule cong 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((= (forall @t9 @t435) @t433))) % 0.53/0.72 (step @p669 :rule alpha_equiv :args (@t436 (@list @t426) @t381)) % 0.53/0.72 (step @p670 :rule refl :args (@t359)) % 0.53/0.72 (step @p671 :rule nary_cong :premises (@p102 @p670 @p669) :args (@t437)) % 0.53/0.72 (step @p672 :rule quant-miniscope-or :args ((= @t435 @t437))) % 0.53/0.72 (step @p673 :rule trans :premises (@p672 @p671)) % 0.53/0.72 (step @p674 :rule symm :premises (@p673)) % 0.53/0.72 (step @p675 :rule cong :premises (@p674) :args ((forall @t9 @t441))) % 0.53/0.72 (step @p676 :rule trans :premises (@p675 @p668)) % 0.53/0.72 (step @p677 :rule trans :premises (@p676 @p667)) % 0.53/0.72 (step @p678 :rule aci_norm :args ((= (or @t136 @t442) @t441))) % 0.53/0.72 (step @p679 :rule bool-impl-elim :args (@t17 @t442)) % 0.53/0.72 (step @p680 :rule trans :premises (@p679 @p678)) % 0.53/0.72 (step @p681 :rule cong :premises (@p680) :args ((forall @t9 (=> @t17 @t442)))) % 0.53/0.72 (step @p682 :rule trans :premises (@p681 @p677)) % 0.53/0.72 (step @p683 :rule quant-miniscope-or :args ((= (forall @t7 @t443) @t442))) % 0.53/0.72 (step @p684 :rule aci_norm :args ((= @t444 @t443))) % 0.53/0.72 (step @p685 :rule cong :premises (@p684) :args ((forall @t7 @t444))) % 0.53/0.72 (step @p686 :rule trans :premises (@p685 @p683)) % 0.53/0.72 (step @p687 :rule aci_norm :args ((= (or @t168 (or @t359 @t438)) @t444))) % 0.53/0.72 (step @p688 :rule refl :args (@t438)) % 0.53/0.72 (step @p689 :rule nary_cong :premises (@p506 @p688) :args ((or @t362 @t438))) % 0.53/0.72 (step @p690 :rule bool-impl-elim :args (@t361 @t438)) % 0.53/0.72 (step @p691 :rule trans :premises (@p690 @p689)) % 0.53/0.72 (step @p692 :rule nary_cong :premises (@p144 @p691) :args ((or @t168 @t445))) % 0.53/0.72 (step @p693 :rule trans :premises (@p692 @p687)) % 0.53/0.72 (step @p694 :rule bool-impl-elim :args (@t21 @t445)) % 0.53/0.72 (step @p695 :rule trans :premises (@p694 @p693)) % 0.53/0.72 (step @p696 :rule cong :premises (@p695) :args ((forall @t7 (=> @t21 @t445)))) % 0.53/0.72 (step @p697 :rule trans :premises (@p696 @p686)) % 0.53/0.72 (step @p698 :rule eq-symm :args (@t83 @t54)) % 0.53/0.72 (step @p699 :rule cong :premises (@p517 @p698) :args (@t84)) % 0.53/0.72 (step @p700 :rule cong :premises (@p491 @p699) :args (@t85)) % 0.53/0.72 (step @p701 :rule cong :premises (@p700) :args (@t86)) % 0.53/0.72 (step @p702 :rule trans :premises (@p701 @p697)) % 0.53/0.72 (step @p703 :rule cong :premises (@p495 @p702) :args (@t87)) % 0.53/0.72 (step @p704 :rule cong :premises (@p703) :args (@t88)) % 0.53/0.72 (step @p705 :rule trans :premises (@p704 @p682)) % 0.53/0.72 (step @p706 :rule eq_resolve :premises (@p85 @p705)) % 0.53/0.72 (step @p707 :rule eq-symm :args (@t423 @t343)) % 0.53/0.72 (step @p708 :rule refl :args (@t355)) % 0.53/0.72 (step @p709 :rule eq-symm :args (@t341 tptp.nil)) % 0.53/0.72 (step @p710 :rule refl :args (@t446)) % 0.53/0.72 (step @p711 :rule nary_cong :premises (@p710 @p709 @p708 @p707) :args (@t447)) % 0.53/0.72 (step @p712 :rule refl :args (@t448)) % 0.53/0.72 (step @p713 :rule cong :premises (@p712 @p711) :args ((=> @t448 @t447))) % 0.53/0.72 (assume-push @p776 @t448) % 0.53/0.72 (step @p715 :rule instantiate :premises (@p706) :args ((@list @t341 @t340))) % 0.53/0.72 (step-pop @p777 :rule scope :premises (@p715)) % 0.53/0.72 (step @p716 :rule process_scope :premises (@p777) :args (@t447)) % 0.53/0.72 (step @p718 :rule eq_resolve :premises (@p716 @p713)) % 0.53/0.72 (step @p719 :rule implies_elim :premises (@p718)) % 0.53/0.72 (step @p720 :rule chain_m_resolution :premises (@p719 @p706) :args (@t451 @t369 (@list @t448))) % 0.53/0.72 (step @p721 :rule aci_norm :args ((= @t456 (or @t136 @t454 @t453)))) % 0.53/0.72 (step @p722 :rule cong :premises (@p721) :args (@t457)) % 0.53/0.72 (step @p723 :rule quant-merge-prenex :args ((= (forall @t9 @t459) @t457))) % 0.53/0.72 (step @p724 :rule alpha_equiv :args (@t460 (@list @t452) @t381)) % 0.53/0.72 (step @p725 :rule nary_cong :premises (@p102 @p724) :args (@t461)) % 0.53/0.72 (step @p726 :rule quant-miniscope-or :args ((= @t459 @t461))) % 0.53/0.72 (step @p727 :rule trans :premises (@p726 @p725)) % 0.53/0.72 (step @p728 :rule symm :premises (@p727)) % 0.53/0.72 (step @p729 :rule cong :premises (@p728) :args ((forall @t9 (or @t136 @t463)))) % 0.53/0.72 (step @p730 :rule trans :premises (@p729 @p723)) % 0.53/0.72 (step @p731 :rule trans :premises (@p730 @p722)) % 0.53/0.72 (step @p732 :rule bool-impl-elim :args (@t17 @t463)) % 0.53/0.72 (step @p733 :rule cong :premises (@p732) :args ((forall @t9 (=> @t17 @t463)))) % 0.53/0.72 (step @p734 :rule trans :premises (@p733 @p731)) % 0.53/0.72 (step @p735 :rule bool-impl-elim :args (@t6 @t462)) % 0.53/0.72 (step @p736 :rule cong :premises (@p735) :args ((forall @t7 (=> @t6 @t462)))) % 0.53/0.72 (step @p737 :rule eq-symm :args (@t40 @t2)) % 0.53/0.72 (step @p738 :rule cong :premises (@p737) :args (@t46)) % 0.53/0.72 (step @p739 :rule cong :premises (@p653 @p738) :args (@t47)) % 0.53/0.72 (step @p740 :rule cong :premises (@p739) :args (@t48)) % 0.53/0.72 (step @p741 :rule trans :premises (@p740 @p736)) % 0.53/0.72 (step @p742 :rule cong :premises (@p495 @p741) :args (@t49)) % 0.53/0.72 (step @p743 :rule cong :premises (@p742) :args (@t50)) % 0.53/0.72 (step @p744 :rule trans :premises (@p743 @p734)) % 0.53/0.72 (step @p745 :rule eq_resolve :premises (@p18 @p744)) % 0.53/0.72 (step @p746 :rule instantiate :premises (@p745) :args (@t408)) % 0.53/0.72 (step @p747 :rule cnf_or_pos :args (@t465)) % 0.53/0.72 (step @p748 :rule reordering :premises (@p747) :args ((or @t386 @t339 @t464 (not @t465)))) % 0.53/0.72 (step @p749 :rule chain_m_resolution :premises (@p748 @p17 @p630 @p746) :args (@t464 @t392 (@list @t45 @t338 @t465))) % 0.53/0.72 (step @p750 :rule bool-double-not-elim :args (@t354)) % 0.53/0.72 (step @p751 :rule nary_cong :premises (@p571 @p750) :args ((or @t356 (not @t355)))) % 0.53/0.72 (step @p752 :rule cnf_or_neg :args (@t356 0)) % 0.53/0.72 (step @p753 :rule eq_resolve :premises (@p752 @p751)) % 0.53/0.72 (step @p754 :rule reordering :premises (@p753) :args ((or @t354 @t356))) % 0.53/0.72 (step @p755 :rule chain_m_resolution :premises (@p754 @p501) :args (@t354 @t357 @t358)) % 0.53/0.72 (step @p756 :rule cnf_or_pos :args (@t451)) % 0.53/0.72 (step @p757 :rule reordering :premises (@p756) :args ((or @t355 @t450 @t446 @t449 (not @t451)))) % 0.53/0.72 (step @p758 :rule chain_m_resolution :premises (@p757 @p755 @p749 @p633 @p720) :args (@t449 (@list false true false false) (@list @t354 @t450 @t409 @t451))) % 0.53/0.72 (step @p759 :rule trans :premises (@p758 @p665)) % 0.53/0.72 (step @p760 :rule cong :premises (@p759 @p635) :args (@t344)) % 0.53/0.72 (step @p761 :rule cong :premises (@p760) :args (@t347)) % 0.53/0.72 (step @p762 :rule trans :premises (@p761 @p634)) % 0.53/0.72 (step @p763 :rule true_elim :premises (@p762)) % 0.53/0.72 (step @p764 :rule refl :args (@t340)) % 0.53/0.72 (step @p765 :rule symm :premises (@p758)) % 0.53/0.72 (step @p766 :rule trans :premises (@p664 @p765)) % 0.53/0.72 (step @p767 :rule cong :premises (@p766 @p635) :args (@t341)) % 0.53/0.72 (step @p768 :rule cong :premises (@p767 @p764) :args (@t342)) % 0.53/0.72 (step @p769 :rule cnf_and_neg :args (@t350)) % 0.53/0.72 (step @p770 :rule reordering :premises (@p769) :args ((or @t353 @t350 (not @t349) (not @t348) (not @t347) (not @t345)))) % 0.53/0.72 (step @p771 false :rule chain_m_resolution :premises (@p770 @p768 @p763 @p576 @p603 @p591 @p503) :args (false (@list false false false false false true) (@list @t345 @t347 @t346 @t349 @t348 @t350))) % 0.53/0.72 ) % 0.53/0.72 % SZS output end Proof % 0.53/0.72 % cvc5 exiting %------------------------------------------------------------------------------