%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC422+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 : n026.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 08:59:16 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 : SWC422+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:47:10 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----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 () (= @t1 @t12)) % 0.53/0.75 (define @t37 () (tptp.cons @t1 @t2)) % 0.53/0.75 (define @t38 () (= @t1 @t2)) % 0.53/0.75 (define @t39 () (tptp.cons @t12 @t1)) % 0.53/0.75 (define @t40 () (= tptp.nil @t2)) % 0.53/0.75 (define @t41 () (tptp.hd @t2)) % 0.53/0.75 (define @t42 () (not @t40)) % 0.53/0.75 (define @t43 () (tptp.tl @t2)) % 0.53/0.75 (define @t44 () (tptp.app @t2 @t1)) % 0.53/0.75 (define @t45 () (tptp.app @t1 @t2)) % 0.53/0.75 (define @t46 () (tptp.leq @t1 @t2)) % 0.53/0.75 (define @t47 () (tptp.leq @t2 @t1)) % 0.53/0.75 (define @t48 () (tptp.geq @t2 @t1)) % 0.53/0.75 (define @t49 () (tptp.lt @t1 @t2)) % 0.53/0.75 (define @t50 () (tptp.lt @t2 @t1)) % 0.53/0.75 (define @t51 () (tptp.lt @t2 @t12)) % 0.53/0.75 (define @t52 () (tptp.gt @t2 @t1)) % 0.53/0.75 (define @t53 () (tptp.memberP @t12 @t2)) % 0.53/0.75 (define @t54 () (tptp.app @t12 @t2)) % 0.53/0.75 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.53/0.75 (define @t56 () (tptp.hd @t1)) % 0.53/0.75 (define @t57 () (= tptp.nil @t1)) % 0.53/0.75 (define @t58 () (not @t57)) % 0.53/0.75 (define @t59 () (tptp.cons @t2 @t1)) % 0.53/0.75 (define @t60 () (= @t12 @t2)) % 0.53/0.75 (define @t61 () (tptp.neq @t1 tptp.nil)) % 0.53/0.75 (define @t62 () (not @t61)) % 0.53/0.75 (define @t63 () (or @t62 (tptp.neq @t10 tptp.nil))) % 0.53/0.75 (define @t64 () (@var "X3" $$unsorted)) % 0.53/0.75 (define @t65 () (@var "X2" $$unsorted)) % 0.53/0.75 (define @t66 () (tptp.cons @t65 tptp.nil)) % 0.53/0.75 (define @t67 () (@var "X4" $$unsorted)) % 0.53/0.75 (define @t68 () (tptp.app (tptp.app @t67 @t66) @t64)) % 0.53/0.75 (define @t69 () (not (= @t68 @t12))) % 0.53/0.75 (define @t70 () (tptp.app @t64 @t66)) % 0.53/0.75 (define @t71 () (tptp.app @t70 @t67)) % 0.53/0.75 (define @t72 () (not (= @t71 @t10))) % 0.53/0.75 (define @t73 () (or @t72 @t69)) % 0.53/0.75 (define @t74 () (tptp.ssList @t67)) % 0.53/0.75 (define @t75 () (=> @t74 @t73)) % 0.53/0.75 (define @t76 () (@list @t67)) % 0.53/0.75 (define @t77 () (forall @t76 @t75)) % 0.53/0.75 (define @t78 () (tptp.ssList @t64)) % 0.53/0.75 (define @t79 () (=> @t78 @t77)) % 0.53/0.75 (define @t80 () (@list @t64)) % 0.53/0.75 (define @t81 () (forall @t80 @t79)) % 0.53/0.75 (define @t82 () (tptp.ssItem @t65)) % 0.53/0.75 (define @t83 () (=> @t82 @t81)) % 0.53/0.75 (define @t84 () (@list @t65)) % 0.53/0.75 (define @t85 () (forall @t84 @t83)) % 0.53/0.75 (define @t86 () (tptp.cons @t28 tptp.nil)) % 0.53/0.75 (define @t87 () (@var "X1" $$unsorted)) % 0.53/0.75 (define @t88 () (tptp.app (tptp.app @t87 @t86) @t27)) % 0.53/0.75 (define @t89 () (tptp.app @t27 @t86)) % 0.53/0.75 (define @t90 () (tptp.app @t89 @t87)) % 0.53/0.75 (define @t91 () (tptp.ssList @t87)) % 0.53/0.75 (define @t92 () (and @t91 (= @t90 @t1) (= @t88 @t2))) % 0.53/0.75 (define @t93 () (@list @t87)) % 0.53/0.75 (define @t94 () (exists @t93 @t92)) % 0.53/0.75 (define @t95 () (and @t30 @t94)) % 0.53/0.75 (define @t96 () (exists @t31 @t95)) % 0.53/0.75 (define @t97 () (tptp.ssItem @t28)) % 0.53/0.75 (define @t98 () (and @t97 @t96)) % 0.53/0.75 (define @t99 () (exists @t33 @t98)) % 0.53/0.75 (define @t100 () (or @t62 @t99 @t85)) % 0.53/0.75 (define @t101 () (and @t100 @t63)) % 0.53/0.75 (define @t102 () (not (= @t2 @t12))) % 0.53/0.75 (define @t103 () (not (= @t1 @t10))) % 0.53/0.75 (define @t104 () (or @t103 @t102 @t101)) % 0.53/0.75 (define @t105 () (=> @t13 @t104)) % 0.53/0.75 (define @t106 () (forall @t14 @t105)) % 0.53/0.75 (define @t107 () (=> @t15 @t106)) % 0.53/0.75 (define @t108 () (forall @t16 @t107)) % 0.53/0.75 (define @t109 () (=> @t21 @t108)) % 0.53/0.75 (define @t110 () (forall @t7 @t109)) % 0.53/0.75 (define @t111 () (=> @t17 @t110)) % 0.53/0.75 (define @t112 () (forall @t9 @t111)) % 0.53/0.75 (define @t113 () (not @t112)) % 0.53/0.75 (define @t114 () (@var "BOUND_VARIABLE_11261" $$unsorted)) % 0.53/0.75 (define @t115 () (not (tptp.ssList @t114))) % 0.53/0.75 (define @t116 () (@var "BOUND_VARIABLE_11259" $$unsorted)) % 0.53/0.75 (define @t117 () (not (tptp.ssList @t116))) % 0.53/0.75 (define @t118 () (@var "BOUND_VARIABLE_11257" $$unsorted)) % 0.53/0.75 (define @t119 () (not (tptp.ssItem @t118))) % 0.53/0.75 (define @t120 () (tptp.cons @t118 tptp.nil)) % 0.53/0.75 (define @t121 () (tptp.app (tptp.app @t114 @t120) @t116)) % 0.53/0.75 (define @t122 () (@var "BOUND_VARIABLE_11004" $$unsorted)) % 0.53/0.75 (define @t123 () (@var "BOUND_VARIABLE_11006" $$unsorted)) % 0.53/0.75 (define @t124 () (tptp.app (tptp.app @t123 @t86) @t122)) % 0.53/0.75 (define @t125 () (tptp.app (tptp.app @t116 @t120) @t114)) % 0.53/0.75 (define @t126 () (tptp.app (tptp.app @t122 @t86) @t123)) % 0.53/0.75 (define @t127 () (not (= @t126 @t125))) % 0.53/0.75 (define @t128 () (not (tptp.ssList @t123))) % 0.53/0.75 (define @t129 () (not (tptp.ssList @t122))) % 0.53/0.75 (define @t130 () (not @t97)) % 0.53/0.75 (define @t131 () (@list @t28 @t122 @t123)) % 0.53/0.75 (define @t132 () (not (forall @t131 (or @t130 @t129 @t128 @t127 (not (= @t124 @t121)))))) % 0.53/0.75 (define @t133 () (not (tptp.neq @t125 tptp.nil))) % 0.53/0.75 (define @t134 () (not (tptp.ssList @t125))) % 0.53/0.75 (define @t135 () (not (tptp.ssList @t121))) % 0.53/0.75 (define @t136 () (or @t135 @t134 @t133 @t132 @t119 @t117 @t115)) % 0.53/0.75 (define @t137 () (not (= @t121 @t121))) % 0.53/0.75 (define @t138 () (not (= @t121 @t124))) % 0.53/0.75 (define @t139 () (or @t130 @t129 @t128 @t127 @t138)) % 0.53/0.75 (define @t140 () (forall @t131 @t139)) % 0.53/0.75 (define @t141 () (not @t140)) % 0.53/0.75 (define @t142 () (or @t135 @t134 @t133 @t141 @t119 @t117 @t115 @t137)) % 0.53/0.75 (define @t143 () (@list @t118 @t116 @t114)) % 0.53/0.75 (define @t144 () (not (= @t2 @t121))) % 0.53/0.75 (define @t145 () (not (= @t2 @t124))) % 0.53/0.75 (define @t146 () (not (forall @t131 (or @t130 @t129 @t128 @t127 @t145)))) % 0.53/0.75 (define @t147 () (not @t17)) % 0.53/0.75 (define @t148 () (or @t144 @t147 @t134 @t133 @t146 @t119 @t117 @t115 @t144)) % 0.53/0.75 (define @t149 () (or @t147 @t134 @t133 @t146 @t119 @t117 @t115 @t144)) % 0.53/0.75 (define @t150 () (forall @t9 @t149)) % 0.53/0.75 (define @t151 () (forall @t143 @t150)) % 0.53/0.75 (define @t152 () (forall (@list @t118 @t116 @t114 @t2) @t149)) % 0.53/0.75 (define @t153 () (@list @t2 @t118 @t116 @t114)) % 0.53/0.75 (define @t154 () (or @t134 @t133 @t146 @t119 @t117 @t115 @t144)) % 0.53/0.75 (define @t155 () (or @t147 @t154)) % 0.53/0.75 (define @t156 () (forall @t153 @t155)) % 0.53/0.75 (define @t157 () (forall @t143 @t155)) % 0.53/0.75 (define @t158 () (forall @t143 @t154)) % 0.53/0.75 (define @t159 () (@var "BOUND_VARIABLE_11208" $$unsorted)) % 0.53/0.75 (define @t160 () (@var "BOUND_VARIABLE_11206" $$unsorted)) % 0.53/0.75 (define @t161 () (@var "BOUND_VARIABLE_11204" $$unsorted)) % 0.53/0.75 (define @t162 () (@list @t161 @t160 @t159)) % 0.53/0.75 (define @t163 () (or @t147 @t158)) % 0.53/0.75 (define @t164 () (tptp.cons @t161 tptp.nil)) % 0.53/0.75 (define @t165 () (not (= @t2 (tptp.app (tptp.app @t159 @t164) @t160)))) % 0.53/0.75 (define @t166 () (not (tptp.ssList @t159))) % 0.53/0.75 (define @t167 () (not (tptp.ssList @t160))) % 0.53/0.75 (define @t168 () (not (tptp.ssItem @t161))) % 0.53/0.75 (define @t169 () (tptp.app (tptp.app @t160 @t164) @t159)) % 0.53/0.75 (define @t170 () (not (forall @t131 (or @t130 @t129 @t128 (not (= @t126 @t169)) @t145)))) % 0.53/0.75 (define @t171 () (not (tptp.neq @t169 tptp.nil))) % 0.53/0.75 (define @t172 () (not (tptp.ssList @t169))) % 0.53/0.75 (define @t173 () (or @t172 @t171 @t170 @t168 @t167 @t166 @t165)) % 0.53/0.75 (define @t174 () (@list @t161 @t160 @t159)) % 0.53/0.75 (define @t175 () (or @t147 (forall @t174 @t173))) % 0.53/0.75 (define @t176 () (not (= @t169 @t169))) % 0.53/0.75 (define @t177 () (not (= @t169 @t126))) % 0.53/0.75 (define @t178 () (or @t130 @t129 @t128 @t177 @t145)) % 0.53/0.75 (define @t179 () (forall @t131 @t178)) % 0.53/0.75 (define @t180 () (not @t179)) % 0.53/0.75 (define @t181 () (or @t172 @t171 @t180 @t168 @t167 @t166 @t176 @t165)) % 0.53/0.75 (define @t182 () (not (= @t1 @t169))) % 0.53/0.75 (define @t183 () (not (= @t1 @t126))) % 0.53/0.75 (define @t184 () (or @t130 @t129 @t128 @t183 @t145)) % 0.53/0.75 (define @t185 () (not (forall @t131 @t184))) % 0.53/0.75 (define @t186 () (not @t21)) % 0.53/0.75 (define @t187 () (or @t182 @t186 @t62 @t185 @t168 @t167 @t166 @t182 @t165)) % 0.53/0.75 (define @t188 () (or @t186 @t62 @t185 @t168 @t167 @t166 @t182 @t165)) % 0.53/0.75 (define @t189 () (forall @t7 @t188)) % 0.53/0.75 (define @t190 () (forall @t174 @t189)) % 0.53/0.75 (define @t191 () (forall (@list @t161 @t160 @t159 @t1) @t188)) % 0.53/0.75 (define @t192 () (@list @t1 @t161 @t160 @t159)) % 0.53/0.75 (define @t193 () (or @t168 @t167 @t166 @t182 @t165)) % 0.53/0.75 (define @t194 () (or @t186 @t62 @t185 @t193)) % 0.53/0.75 (define @t195 () (forall @t192 @t194)) % 0.53/0.75 (define @t196 () (forall @t174 @t194)) % 0.53/0.75 (define @t197 () (forall @t174 @t193)) % 0.53/0.75 (define @t198 () (@var "BOUND_VARIABLE_11160" $$unsorted)) % 0.53/0.75 (define @t199 () (@var "BOUND_VARIABLE_11158" $$unsorted)) % 0.53/0.75 (define @t200 () (@var "BOUND_VARIABLE_11156" $$unsorted)) % 0.53/0.75 (define @t201 () (@list @t200 @t199 @t198)) % 0.53/0.75 (define @t202 () (or @t186 @t62 @t185 @t197)) % 0.53/0.75 (define @t203 () (tptp.cons @t200 tptp.nil)) % 0.53/0.75 (define @t204 () (tptp.app (tptp.app @t198 @t203) @t199)) % 0.53/0.75 (define @t205 () (not (= @t2 @t204))) % 0.53/0.75 (define @t206 () (not (= @t1 (tptp.app (tptp.app @t199 @t203) @t198)))) % 0.53/0.75 (define @t207 () (not (tptp.ssList @t198))) % 0.53/0.75 (define @t208 () (not (tptp.ssList @t199))) % 0.53/0.75 (define @t209 () (not (tptp.ssItem @t200))) % 0.53/0.75 (define @t210 () (or @t209 @t208 @t207 @t206 @t205)) % 0.53/0.75 (define @t211 () (@list @t200 @t199 @t198)) % 0.53/0.75 (define @t212 () (forall @t211 @t210)) % 0.53/0.75 (define @t213 () (or @t186 @t62 @t185 @t212)) % 0.53/0.75 (define @t214 () (forall @t7 @t213)) % 0.53/0.75 (define @t215 () (or @t147 @t214)) % 0.53/0.75 (define @t216 () (or @t147 @t213)) % 0.53/0.75 (define @t217 () (or @t186 @t62 @t185 @t147 @t212)) % 0.53/0.75 (define @t218 () (or @t147 @t212)) % 0.53/0.75 (define @t219 () (or @t147 @t210)) % 0.53/0.75 (define @t220 () (or @t147 @t209 @t208 @t207 @t206 @t205)) % 0.53/0.75 (define @t221 () (not (= @t2 @t2))) % 0.53/0.75 (define @t222 () (or @t147 @t221 @t209 @t208 @t207 @t206 @t205)) % 0.53/0.75 (define @t223 () (not (= @t12 @t204))) % 0.53/0.75 (define @t224 () (not @t15)) % 0.53/0.75 (define @t225 () (or @t102 @t224 @t102 @t209 @t208 @t207 @t206 @t223)) % 0.53/0.75 (define @t226 () (or @t224 @t102 @t209 @t208 @t207 @t206 @t223)) % 0.53/0.75 (define @t227 () (forall @t16 @t226)) % 0.53/0.75 (define @t228 () (forall @t211 @t227)) % 0.53/0.75 (define @t229 () (forall (@list @t200 @t199 @t198 @t12) @t226)) % 0.53/0.75 (define @t230 () (@list @t12 @t200 @t199 @t198)) % 0.53/0.75 (define @t231 () (or @t209 @t208 @t207 @t206 @t223)) % 0.53/0.75 (define @t232 () (or @t224 @t102 @t231)) % 0.53/0.75 (define @t233 () (forall @t230 @t232)) % 0.53/0.75 (define @t234 () (forall @t211 @t232)) % 0.53/0.75 (define @t235 () (forall @t211 @t231)) % 0.53/0.75 (define @t236 () (@var "BOUND_VARIABLE_11100" $$unsorted)) % 0.53/0.75 (define @t237 () (@var "BOUND_VARIABLE_11098" $$unsorted)) % 0.53/0.75 (define @t238 () (@var "BOUND_VARIABLE_11096" $$unsorted)) % 0.53/0.75 (define @t239 () (@list @t238 @t237 @t236)) % 0.53/0.75 (define @t240 () (or @t224 @t102 @t235)) % 0.53/0.75 (define @t241 () (tptp.cons @t238 tptp.nil)) % 0.53/0.75 (define @t242 () (not (= @t12 (tptp.app (tptp.app @t236 @t241) @t237)))) % 0.53/0.75 (define @t243 () (tptp.app (tptp.app @t237 @t241) @t236)) % 0.53/0.75 (define @t244 () (not (= @t1 @t243))) % 0.53/0.75 (define @t245 () (not (tptp.ssList @t236))) % 0.53/0.75 (define @t246 () (not (tptp.ssList @t237))) % 0.53/0.75 (define @t247 () (not (tptp.ssItem @t238))) % 0.53/0.75 (define @t248 () (or @t247 @t246 @t245 @t244 @t242)) % 0.53/0.75 (define @t249 () (@list @t238 @t237 @t236)) % 0.53/0.75 (define @t250 () (forall @t249 @t248)) % 0.53/0.75 (define @t251 () (or @t224 @t102 @t250)) % 0.53/0.75 (define @t252 () (forall @t16 @t251)) % 0.53/0.75 (define @t253 () (or @t186 @t62 @t185 @t252)) % 0.53/0.75 (define @t254 () (or @t186 @t62 @t185 @t251)) % 0.53/0.75 (define @t255 () (or @t224 @t102 @t186 @t62 @t185 @t250)) % 0.53/0.75 (define @t256 () (or @t102 @t186 @t62 @t185 @t250)) % 0.53/0.75 (define @t257 () (or @t186 @t62 @t185 @t250)) % 0.53/0.75 (define @t258 () (or @t186 @t62 @t185 @t248)) % 0.53/0.75 (define @t259 () (or @t186 @t62 @t185 @t247 @t246 @t245 @t244 @t242)) % 0.53/0.75 (define @t260 () (or @t62 @t185 @t247 @t246 @t245 @t244 @t242)) % 0.53/0.75 (define @t261 () (and @t260 true)) % 0.53/0.75 (define @t262 () (or @t186 @t261)) % 0.53/0.75 (define @t263 () (and @t260 (or @t62 @t61))) % 0.53/0.75 (define @t264 () (or @t186 @t263)) % 0.53/0.75 (define @t265 () (not (= @t1 @t1))) % 0.53/0.75 (define @t266 () (or @t186 @t265 @t263)) % 0.53/0.75 (define @t267 () (not (= @t10 @t243))) % 0.53/0.75 (define @t268 () (or @t62 @t185 @t247 @t246 @t245 @t267 @t242)) % 0.53/0.75 (define @t269 () (and @t268 @t63)) % 0.53/0.75 (define @t270 () (not @t13)) % 0.53/0.75 (define @t271 () (or @t103 @t270 @t103 @t269)) % 0.53/0.75 (define @t272 () (or @t270 @t103 @t269)) % 0.53/0.75 (define @t273 () (forall @t14 @t272)) % 0.53/0.75 (define @t274 () (forall @t249 @t273)) % 0.53/0.75 (define @t275 () (forall (@list @t238 @t237 @t236 @t10) @t272)) % 0.53/0.75 (define @t276 () (@list @t10 @t238 @t237 @t236)) % 0.53/0.75 (define @t277 () (or @t247 @t246 @t245 @t267 @t242)) % 0.53/0.75 (define @t278 () (or @t62 @t185 @t277)) % 0.53/0.75 (define @t279 () (and @t278 @t63)) % 0.53/0.75 (define @t280 () (or @t270 @t103 @t279)) % 0.53/0.75 (define @t281 () (forall @t276 @t280)) % 0.53/0.75 (define @t282 () (forall @t249 @t280)) % 0.53/0.75 (define @t283 () (forall @t249 @t63)) % 0.53/0.75 (define @t284 () (forall @t249 @t277)) % 0.53/0.75 (define @t285 () (@var "BOUND_VARIABLE_11066" $$unsorted)) % 0.53/0.75 (define @t286 () (@var "BOUND_VARIABLE_11064" $$unsorted)) % 0.53/0.75 (define @t287 () (or @t62 @t185 @t284)) % 0.53/0.75 (define @t288 () (forall @t249 @t278)) % 0.53/0.75 (define @t289 () (and @t288 @t283)) % 0.53/0.75 (define @t290 () (forall @t249 @t279)) % 0.53/0.75 (define @t291 () (or @t270 @t103 @t290)) % 0.53/0.75 (define @t292 () (not (= @t12 (tptp.app (tptp.app @t285 @t66) @t286)))) % 0.53/0.75 (define @t293 () (not (= @t10 (tptp.app (tptp.app @t286 @t66) @t285)))) % 0.53/0.75 (define @t294 () (not (tptp.ssList @t285))) % 0.53/0.75 (define @t295 () (not (tptp.ssList @t286))) % 0.53/0.75 (define @t296 () (not @t82)) % 0.53/0.75 (define @t297 () (or @t296 @t295 @t294 @t293 @t292)) % 0.53/0.75 (define @t298 () (@list @t65 @t286 @t285)) % 0.53/0.75 (define @t299 () (and (or @t62 @t185 (forall @t298 @t297)) @t63)) % 0.53/0.75 (define @t300 () (or @t270 @t103 @t299)) % 0.53/0.75 (define @t301 () (forall @t14 @t300)) % 0.53/0.75 (define @t302 () (or @t102 @t301)) % 0.53/0.75 (define @t303 () (or @t102 @t300)) % 0.53/0.75 (define @t304 () (or @t270 @t103 @t102 @t299)) % 0.53/0.75 (define @t305 () (or @t103 @t102 @t299)) % 0.53/0.75 (define @t306 () (or @t295 @t294 @t293 @t292)) % 0.53/0.75 (define @t307 () (or @t296 @t306)) % 0.53/0.75 (define @t308 () (forall @t298 @t307)) % 0.53/0.75 (define @t309 () (@list @t286 @t285)) % 0.53/0.75 (define @t310 () (forall @t309 @t307)) % 0.53/0.75 (define @t311 () (forall @t309 @t306)) % 0.53/0.75 (define @t312 () (@var "BOUND_VARIABLE_11042" $$unsorted)) % 0.53/0.75 (define @t313 () (or @t296 @t311)) % 0.53/0.75 (define @t314 () (not (= @t12 (tptp.app (tptp.app @t312 @t66) @t64)))) % 0.53/0.75 (define @t315 () (not (= @t10 (tptp.app @t70 @t312)))) % 0.53/0.75 (define @t316 () (not (tptp.ssList @t312))) % 0.53/0.75 (define @t317 () (not @t78)) % 0.53/0.75 (define @t318 () (or @t317 @t316 @t315 @t314)) % 0.53/0.75 (define @t319 () (@list @t64 @t312)) % 0.53/0.75 (define @t320 () (forall @t319 @t318)) % 0.53/0.75 (define @t321 () (or @t316 @t315 @t314)) % 0.53/0.75 (define @t322 () (or @t317 @t321)) % 0.53/0.75 (define @t323 () (forall @t319 @t322)) % 0.53/0.75 (define @t324 () (@list @t312)) % 0.53/0.75 (define @t325 () (forall @t324 @t322)) % 0.53/0.75 (define @t326 () (forall @t324 @t321)) % 0.53/0.75 (define @t327 () (or @t317 @t326)) % 0.53/0.75 (define @t328 () (not (= @t12 @t68))) % 0.53/0.75 (define @t329 () (not (= @t10 @t71))) % 0.53/0.75 (define @t330 () (not @t74)) % 0.53/0.75 (define @t331 () (or @t330 @t329 @t328)) % 0.53/0.75 (define @t332 () (forall @t76 @t331)) % 0.53/0.75 (define @t333 () (or @t329 @t328)) % 0.53/0.75 (define @t334 () (or @t129 @t128 @t183 @t145)) % 0.53/0.75 (define @t335 () (or @t130 @t334)) % 0.53/0.75 (define @t336 () (forall @t131 @t335)) % 0.53/0.75 (define @t337 () (@list @t122 @t123)) % 0.53/0.75 (define @t338 () (forall @t337 @t335)) % 0.53/0.75 (define @t339 () (forall @t337 @t334)) % 0.53/0.75 (define @t340 () (@var "BOUND_VARIABLE_10978" $$unsorted)) % 0.53/0.75 (define @t341 () (or @t130 @t339)) % 0.53/0.75 (define @t342 () (not (= @t2 (tptp.app (tptp.app @t340 @t86) @t27)))) % 0.53/0.75 (define @t343 () (not (= @t1 (tptp.app @t89 @t340)))) % 0.53/0.75 (define @t344 () (not (tptp.ssList @t340))) % 0.53/0.75 (define @t345 () (not @t30)) % 0.53/0.75 (define @t346 () (or @t345 @t344 @t343 @t342)) % 0.53/0.75 (define @t347 () (@list @t27 @t340)) % 0.53/0.75 (define @t348 () (forall @t347 @t346)) % 0.53/0.75 (define @t349 () (not @t348)) % 0.53/0.75 (define @t350 () (and @t97 @t349)) % 0.53/0.75 (define @t351 () (forall @t33 (not @t350))) % 0.53/0.75 (define @t352 () (not @t351)) % 0.53/0.75 (define @t353 () (or @t344 @t343 @t342)) % 0.53/0.75 (define @t354 () (or @t345 @t353)) % 0.53/0.75 (define @t355 () (forall @t347 @t354)) % 0.53/0.75 (define @t356 () (@list @t340)) % 0.53/0.75 (define @t357 () (forall @t356 @t354)) % 0.53/0.75 (define @t358 () (forall @t356 @t353)) % 0.53/0.75 (define @t359 () (or @t345 @t358)) % 0.53/0.75 (define @t360 () (= @t2 @t88)) % 0.53/0.75 (define @t361 () (not @t360)) % 0.53/0.75 (define @t362 () (= @t1 @t90)) % 0.53/0.75 (define @t363 () (not @t362)) % 0.53/0.75 (define @t364 () (not @t91)) % 0.53/0.75 (define @t365 () (or @t364 @t363 @t361)) % 0.53/0.75 (define @t366 () (forall @t93 @t365)) % 0.53/0.75 (define @t367 () (not @t366)) % 0.53/0.75 (define @t368 () (and @t30 @t367)) % 0.53/0.75 (define @t369 () (forall @t31 (not @t368))) % 0.53/0.75 (define @t370 () (not @t369)) % 0.53/0.75 (define @t371 () (and @t91 @t362 @t360)) % 0.53/0.75 (define @t372 () (forall @t93 (not @t371))) % 0.53/0.75 (define @t373 () (not @t372)) % 0.53/0.75 (define @t374 () (forall @t143 @t136)) % 0.53/0.75 (define @t375 () (@quantifiers_skolemize @t374 1)) % 0.53/0.75 (define @t376 () (@quantifiers_skolemize @t374 0)) % 0.53/0.75 (define @t377 () (tptp.cons @t376 tptp.nil)) % 0.53/0.75 (define @t378 () (@quantifiers_skolemize @t374 2)) % 0.53/0.75 (define @t379 () (tptp.app (tptp.app @t378 @t377) @t375)) % 0.53/0.75 (define @t380 () (tptp.app (tptp.app @t375 @t377) @t378)) % 0.53/0.75 (define @t381 () (forall @t131 (or @t130 @t129 @t128 (not (= @t126 @t380)) (not (= @t124 @t379))))) % 0.53/0.75 (define @t382 () (tptp.ssList @t378)) % 0.53/0.75 (define @t383 () (not @t382)) % 0.53/0.75 (define @t384 () (tptp.ssList @t375)) % 0.53/0.75 (define @t385 () (not @t384)) % 0.53/0.75 (define @t386 () (tptp.ssItem @t376)) % 0.53/0.75 (define @t387 () (not @t386)) % 0.53/0.75 (define @t388 () (not @t381)) % 0.53/0.75 (define @t389 () (or (not (tptp.ssList @t379)) (not (tptp.ssList @t380)) (not (tptp.neq @t380 tptp.nil)) @t388 @t387 @t385 @t383)) % 0.53/0.75 (define @t390 () (@list true)) % 0.53/0.75 (define @t391 () (@list @t389)) % 0.53/0.75 (define @t392 () (or @t387 @t385 @t383)) % 0.53/0.75 (define @t393 () (not @t392)) % 0.53/0.75 (define @t394 () (not (= @t379 @t379))) % 0.53/0.75 (define @t395 () (not (= @t380 @t380))) % 0.53/0.75 (define @t396 () (or @t387 @t385 @t383 @t395 @t394)) % 0.53/0.75 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.53/0.75 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.53/0.75 (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))))))))))) % 0.53/0.75 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.53/0.75 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.53/0.75 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.53/0.75 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.53/0.75 (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))))))))))))))))) % 0.53/0.75 (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)))))))))))))))) % 0.53/0.75 (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))))))))))))))))) % 0.53/0.75 (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))))))))))))))) % 0.53/0.75 (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))))))))))))))) % 0.53/0.75 (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)))))))))))))))) % 0.53/0.75 (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))))))))))))) % 0.53/0.75 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.53/0.75 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.53/0.75 (assume @p17 (tptp.ssList tptp.nil)) % 0.53/0.75 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.53/0.75 (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) @t38))))))))))) % 0.53/0.75 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.53/0.75 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.53/0.75 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.53/0.75 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.53/0.75 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.53/0.75 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.53/0.75 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.53/0.75 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.53/0.75 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.53/0.75 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.53/0.75 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.53/0.75 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.53/0.75 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.53/0.75 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.53/0.75 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.53/0.75 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.53/0.75 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.53/0.75 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.53/0.75 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.53/0.75 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.53/0.75 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.53/0.75 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.53/0.75 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.53/0.75 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.53/0.75 (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)))))))))))) % 0.53/0.75 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.53/0.75 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.53/0.75 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.53/0.75 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.53/0.75 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.53/0.75 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.53/0.75 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.53/0.75 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.53/0.75 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.53/0.75 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.53/0.75 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.53/0.75 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.53/0.75 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.53/0.75 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.53/0.75 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.53/0.75 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.53/0.75 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.53/0.75 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.53/0.75 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.53/0.75 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.53/0.75 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.53/0.75 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.53/0.75 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.53/0.75 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.53/0.75 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.53/0.75 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 0.53/0.75 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 0.53/0.75 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.53/0.75 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 0.53/0.75 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.53/0.75 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.53/0.75 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.53/0.75 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.53/0.75 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.53/0.75 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 0.53/0.75 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 0.53/0.75 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.53/0.75 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.53/0.75 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 0.53/0.75 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.53/0.75 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.53/0.75 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.53/0.75 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.53/0.75 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.53/0.75 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.53/0.75 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.53/0.75 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.53/0.75 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.53/0.75 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.53/0.75 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.53/0.75 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.53/0.75 (assume @p96 @t113) % 0.53/0.75 (assume @p97 true) % 0.53/0.75 (step @p98 :rule aci_norm :args ((= (or @t135 @t134 @t133 @t132 @t119 @t117 @t115 false) @t136))) % 0.53/0.75 (step @p99 :rule evaluate :args ((not true))) % 0.53/0.75 (step @p100 :rule eq-refl :args (@t121)) % 0.53/0.75 (step @p101 :rule cong :premises (@p100) :args (@t137)) % 0.53/0.75 (step @p102 :rule trans :premises (@p101 @p99)) % 0.53/0.75 (step @p103 :rule refl :args (@t115)) % 0.53/0.75 (step @p104 :rule refl :args (@t117)) % 0.53/0.75 (step @p105 :rule refl :args (@t119)) % 0.53/0.75 (step @p106 :rule eq-symm :args (@t121 @t124)) % 0.53/0.75 (step @p107 :rule cong :premises (@p106) :args (@t138)) % 0.53/0.75 (step @p108 :rule refl :args (@t127)) % 0.53/0.75 (step @p109 :rule refl :args (@t128)) % 0.53/0.75 (step @p110 :rule refl :args (@t129)) % 0.53/0.75 (step @p111 :rule refl :args (@t130)) % 0.53/0.75 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108 @p107) :args (@t139)) % 0.53/0.75 (step @p113 :rule cong :premises (@p112) :args (@t140)) % 0.53/0.75 (step @p114 :rule cong :premises (@p113) :args (@t141)) % 0.53/0.75 (step @p115 :rule refl :args (@t133)) % 0.53/0.75 (step @p116 :rule refl :args (@t134)) % 0.53/0.75 (step @p117 :rule refl :args (@t135)) % 0.53/0.75 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114 @p105 @p104 @p103 @p102) :args (@t142)) % 0.53/0.75 (step @p119 :rule trans :premises (@p118 @p98)) % 0.53/0.75 (step @p120 :rule cong :premises (@p119) :args ((forall @t143 @t142))) % 0.53/0.75 (step @p121 :rule quant-var-elim-eq :args ((= (forall @t9 @t148) @t142))) % 0.53/0.75 (step @p122 :rule aci_norm :args ((= @t149 @t148))) % 0.53/0.75 (step @p123 :rule cong :premises (@p122) :args (@t150)) % 0.53/0.75 (step @p124 :rule trans :premises (@p123 @p121)) % 0.53/0.75 (step @p125 :rule cong :premises (@p124) :args (@t151)) % 0.53/0.75 (step @p126 :rule quant-merge-prenex :args ((= @t151 @t152))) % 0.53/0.75 (step @p127 :rule symm :premises (@p126)) % 0.53/0.75 (step @p128 :rule quant_var_reordering :args ((= (forall @t153 @t149) @t152))) % 0.53/0.75 (step @p129 :rule trans :premises (@p128 @p127 @p125)) % 0.53/0.75 (step @p130 :rule trans :premises (@p129 @p120)) % 0.53/0.75 (step @p131 :rule aci_norm :args ((= @t155 @t149))) % 0.53/0.75 (step @p132 :rule cong :premises (@p131) :args (@t156)) % 0.53/0.75 (step @p133 :rule trans :premises (@p132 @p130)) % 0.53/0.75 (step @p134 :rule quant-merge-prenex :args ((= (forall @t9 @t157) @t156))) % 0.53/0.75 (step @p135 :rule alpha_equiv :args (@t158 (@list @t118 @t116 @t114) @t162)) % 0.53/0.75 (step @p136 :rule refl :args (@t147)) % 0.53/0.75 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t163)) % 0.53/0.75 (step @p138 :rule quant-miniscope-or :args ((= @t157 @t163))) % 0.53/0.75 (step @p139 :rule trans :premises (@p138 @p137)) % 0.53/0.75 (step @p140 :rule symm :premises (@p139)) % 0.53/0.75 (step @p141 :rule cong :premises (@p140) :args ((forall @t9 @t175))) % 0.53/0.75 (step @p142 :rule trans :premises (@p141 @p134)) % 0.53/0.75 (step @p143 :rule trans :premises (@p142 @p133)) % 0.53/0.75 (step @p144 :rule aci_norm :args ((= (or @t147 @t175) @t175))) % 0.53/0.75 (step @p145 :rule bool-impl-elim :args (@t17 @t175)) % 0.53/0.75 (step @p146 :rule trans :premises (@p145 @p144)) % 0.53/0.75 (step @p147 :rule cong :premises (@p146) :args ((forall @t9 (=> @t17 @t175)))) % 0.53/0.75 (step @p148 :rule trans :premises (@p147 @p143)) % 0.53/0.75 (step @p149 :rule aci_norm :args ((= (or @t172 @t171 @t170 @t168 @t167 @t166 false @t165) @t173))) % 0.53/0.75 (step @p150 :rule refl :args (@t165)) % 0.53/0.75 (step @p151 :rule eq-refl :args (@t169)) % 0.53/0.75 (step @p152 :rule cong :premises (@p151) :args (@t176)) % 0.53/0.75 (step @p153 :rule trans :premises (@p152 @p99)) % 0.53/0.75 (step @p154 :rule refl :args (@t166)) % 0.53/0.75 (step @p155 :rule refl :args (@t167)) % 0.53/0.75 (step @p156 :rule refl :args (@t168)) % 0.53/0.75 (step @p157 :rule refl :args (@t145)) % 0.53/0.75 (step @p158 :rule eq-symm :args (@t169 @t126)) % 0.53/0.75 (step @p159 :rule cong :premises (@p158) :args (@t177)) % 0.53/0.75 (step @p160 :rule nary_cong :premises (@p111 @p110 @p109 @p159 @p157) :args (@t178)) % 0.53/0.75 (step @p161 :rule cong :premises (@p160) :args (@t179)) % 0.53/0.75 (step @p162 :rule cong :premises (@p161) :args (@t180)) % 0.53/0.75 (step @p163 :rule refl :args (@t171)) % 0.53/0.75 (step @p164 :rule refl :args (@t172)) % 0.53/0.75 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162 @p156 @p155 @p154 @p153 @p150) :args (@t181)) % 0.53/0.75 (step @p166 :rule trans :premises (@p165 @p149)) % 0.53/0.75 (step @p167 :rule cong :premises (@p166) :args ((forall @t174 @t181))) % 0.53/0.75 (step @p168 :rule quant-var-elim-eq :args ((= (forall @t7 @t187) @t181))) % 0.53/0.75 (step @p169 :rule aci_norm :args ((= @t188 @t187))) % 0.53/0.75 (step @p170 :rule cong :premises (@p169) :args (@t189)) % 0.53/0.75 (step @p171 :rule trans :premises (@p170 @p168)) % 0.53/0.75 (step @p172 :rule cong :premises (@p171) :args (@t190)) % 0.53/0.75 (step @p173 :rule quant-merge-prenex :args ((= @t190 @t191))) % 0.53/0.75 (step @p174 :rule symm :premises (@p173)) % 0.53/0.75 (step @p175 :rule quant_var_reordering :args ((= (forall @t192 @t188) @t191))) % 0.53/0.75 (step @p176 :rule trans :premises (@p175 @p174 @p172)) % 0.53/0.75 (step @p177 :rule trans :premises (@p176 @p167)) % 0.53/0.75 (step @p178 :rule aci_norm :args ((= @t194 @t188))) % 0.53/0.75 (step @p179 :rule cong :premises (@p178) :args (@t195)) % 0.53/0.75 (step @p180 :rule trans :premises (@p179 @p177)) % 0.53/0.75 (step @p181 :rule quant-merge-prenex :args ((= (forall @t7 @t196) @t195))) % 0.53/0.75 (step @p182 :rule alpha_equiv :args (@t197 @t162 @t201)) % 0.53/0.75 (step @p183 :rule refl :args (@t185)) % 0.53/0.75 (step @p184 :rule refl :args (@t62)) % 0.53/0.75 (step @p185 :rule refl :args (@t186)) % 0.53/0.75 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183 @p182) :args (@t202)) % 0.53/0.75 (step @p187 :rule quant-miniscope-or :args ((= @t196 @t202))) % 0.53/0.75 (step @p188 :rule trans :premises (@p187 @p186)) % 0.53/0.75 (step @p189 :rule symm :premises (@p188)) % 0.53/0.75 (step @p190 :rule cong :premises (@p189) :args (@t214)) % 0.53/0.75 (step @p191 :rule trans :premises (@p190 @p181)) % 0.53/0.75 (step @p192 :rule trans :premises (@p191 @p180)) % 0.53/0.75 (step @p193 :rule refl :args (@t147)) % 0.53/0.75 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t215)) % 0.53/0.75 (step @p195 :rule quant-miniscope-or :args ((= (forall @t7 @t216) @t215))) % 0.53/0.75 (step @p196 :rule aci_norm :args ((= @t217 @t216))) % 0.53/0.75 (step @p197 :rule cong :premises (@p196) :args ((forall @t7 @t217))) % 0.53/0.75 (step @p198 :rule trans :premises (@p197 @p195)) % 0.53/0.75 (step @p199 :rule trans :premises (@p198 @p194)) % 0.53/0.75 (step @p200 :rule aci_norm :args ((= (or @t186 @t217) @t217))) % 0.53/0.75 (step @p201 :rule bool-impl-elim :args (@t21 @t217)) % 0.53/0.75 (step @p202 :rule trans :premises (@p201 @p200)) % 0.53/0.75 (step @p203 :rule cong :premises (@p202) :args ((forall @t7 (=> @t21 @t217)))) % 0.53/0.75 (step @p204 :rule trans :premises (@p203 @p199)) % 0.53/0.75 (step @p205 :rule aci_norm :args ((= (or @t186 @t62 @t185 @t218) @t217))) % 0.53/0.75 (step @p206 :rule quant-miniscope-or :args ((= (forall @t211 @t219) @t218))) % 0.53/0.75 (step @p207 :rule aci_norm :args ((= @t220 @t219))) % 0.53/0.75 (step @p208 :rule cong :premises (@p207) :args ((forall @t211 @t220))) % 0.53/0.75 (step @p209 :rule trans :premises (@p208 @p206)) % 0.53/0.75 (step @p210 :rule aci_norm :args ((= (or @t147 false @t209 @t208 @t207 @t206 @t205) @t220))) % 0.53/0.75 (step @p211 :rule refl :args (@t205)) % 0.53/0.75 (step @p212 :rule refl :args (@t206)) % 0.53/0.75 (step @p213 :rule refl :args (@t207)) % 0.53/0.75 (step @p214 :rule refl :args (@t208)) % 0.53/0.75 (step @p215 :rule refl :args (@t209)) % 0.53/0.75 (step @p216 :rule eq-refl :args (@t2)) % 0.53/0.75 (step @p217 :rule cong :premises 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:premises (@p477) :args (@t108)) % 0.53/0.75 (step @p479 :rule trans :premises (@p478 @p270)) % 0.53/0.75 (step @p480 :rule refl :args (@t21)) % 0.53/0.75 (step @p481 :rule cong :premises (@p480 @p479) :args (@t109)) % 0.53/0.75 (step @p482 :rule cong :premises (@p481) :args (@t110)) % 0.53/0.75 (step @p483 :rule trans :premises (@p482 @p204)) % 0.53/0.75 (step @p484 :rule refl :args (@t17)) % 0.53/0.75 (step @p485 :rule cong :premises (@p484 @p483) :args (@t111)) % 0.53/0.75 (step @p486 :rule cong :premises (@p485) :args (@t112)) % 0.53/0.75 (step @p487 :rule trans :premises (@p486 @p148)) % 0.53/0.75 (step @p488 :rule cong :premises (@p487) :args (@t113)) % 0.53/0.75 (step @p489 :rule eq_resolve :premises (@p96 @p488)) % 0.53/0.75 (step @p490 :rule skolemize :premises (@p489)) % 0.53/0.75 (step @p491 :rule bool-double-not-elim :args (@t381)) % 0.53/0.75 (step @p492 :rule refl :args (@t389)) % 0.53/0.75 (step @p493 :rule nary_cong :premises (@p492 @p491) :args ((or @t389 (not @t388)))) % 0.53/0.75 (step @p494 :rule cnf_or_neg :args (@t389 3)) % 0.53/0.75 (step @p495 :rule eq_resolve :premises (@p494 @p493)) % 0.53/0.75 (step @p496 :rule reordering :premises (@p495) :args ((or @t381 @t389))) % 0.53/0.75 (step @p497 :rule chain_m_resolution :premises (@p496 @p490) :args (@t381 @t390 @t391)) % 0.53/0.75 (step @p498 :rule bool-double-not-elim :args (@t382)) % 0.53/0.75 (step @p499 :rule nary_cong :premises (@p492 @p498) :args ((or @t389 (not @t383)))) % 0.53/0.75 (step @p500 :rule cnf_or_neg :args (@t389 6)) % 0.53/0.75 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 0.53/0.75 (step @p502 :rule reordering :premises (@p501) :args ((or @t382 @t389))) % 0.53/0.75 (step @p503 :rule chain_m_resolution :premises (@p502 @p490) :args (@t382 @t390 @t391)) % 0.53/0.75 (step @p504 :rule bool-double-not-elim :args (@t384)) % 0.53/0.75 (step @p505 :rule nary_cong :premises (@p492 @p504) :args ((or @t389 (not @t385)))) % 0.53/0.75 (step @p506 :rule cnf_or_neg :args (@t389 5)) % 0.53/0.75 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 0.53/0.75 (step @p508 :rule reordering :premises (@p507) :args ((or @t384 @t389))) % 0.53/0.75 (step @p509 :rule chain_m_resolution :premises (@p508 @p490) :args (@t384 @t390 @t391)) % 0.53/0.75 (step @p510 :rule bool-double-not-elim :args (@t386)) % 0.53/0.75 (step @p511 :rule nary_cong :premises (@p492 @p510) :args ((or @t389 (not @t387)))) % 0.53/0.75 (step @p512 :rule cnf_or_neg :args (@t389 4)) % 0.53/0.75 (step @p513 :rule eq_resolve :premises (@p512 @p511)) % 0.53/0.75 (step @p514 :rule reordering :premises (@p513) :args ((or @t386 @t389))) % 0.53/0.75 (step @p515 :rule chain_m_resolution :premises (@p514 @p490) :args (@t386 @t390 @t391)) % 0.53/0.75 (step @p516 :rule cnf_or_pos :args (@t392)) % 0.53/0.75 (step @p517 :rule reordering :premises (@p516) :args ((or @t387 @t385 @t383 @t393))) % 0.53/0.75 (step @p518 :rule chain_m_resolution :premises (@p517 @p515 @p509 @p503) :args (@t393 (@list false false false) (@list @t386 @t384 @t382))) % 0.53/0.75 (step @p519 :rule aci_norm :args ((= (or @t387 @t385 @t383 false false) @t392))) % 0.53/0.75 (step @p520 :rule eq-refl :args (@t379)) % 0.53/0.75 (step @p521 :rule cong :premises (@p520) :args (@t394)) % 0.53/0.75 (step @p522 :rule trans :premises (@p521 @p99)) % 0.53/0.75 (step @p523 :rule eq-refl :args (@t380)) % 0.53/0.75 (step @p524 :rule cong :premises (@p523) :args (@t395)) % 0.53/0.75 (step @p525 :rule trans :premises (@p524 @p99)) % 0.53/0.75 (step @p526 :rule refl :args (@t383)) % 0.53/0.75 (step @p527 :rule refl :args (@t385)) % 0.53/0.75 (step @p528 :rule refl :args (@t387)) % 0.53/0.75 (step @p529 :rule nary_cong :premises (@p528 @p527 @p526 @p525 @p522) :args (@t396)) % 0.53/0.75 (step @p530 :rule trans :premises (@p529 @p519)) % 0.53/0.75 (step @p531 :rule refl :args (@t381)) % 0.53/0.75 (step @p532 :rule cong :premises (@p531 @p530) :args ((=> @t381 @t396))) % 0.53/0.75 (assume-push @p540 @t381) % 0.53/0.75 (step @p534 :rule instantiate :premises (@p497) :args ((@list @t376 @t375 @t378))) % 0.53/0.75 (step-pop @p541 :rule scope :premises (@p534)) % 0.53/0.75 (step @p535 :rule process_scope :premises (@p541) :args (@t396)) % 0.53/0.75 (step @p537 :rule eq_resolve :premises (@p535 @p532)) % 0.53/0.75 (step @p538 :rule implies_elim :premises (@p537)) % 0.53/0.75 (step @p539 false :rule chain_m_resolution :premises (@p538 @p518 @p497) :args (false (@list true false) (@list @t392 @t381))) % 0.53/0.75 ) % 0.53/0.75 % SZS output end Proof % 0.53/0.75 % cvc5 exiting %------------------------------------------------------------------------------