%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC100+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 : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:03 AM UTC 2026 % Result : Theorem 0.38s 0.76s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWC100+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:15:54 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.76 % SZS status Theorem % 0.38/0.76 % SZS output start Proof % 0.38/0.76 ( % 0.38/0.76 (declare-sort $$unsorted 0) % 0.38/0.76 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.nil $$unsorted) % 0.38/0.76 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (define @t1 () (@var "V" $$unsorted)) % 0.38/0.76 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.76 (define @t3 () (= @t2 @t1)) % 0.38/0.76 (define @t4 () (not @t3)) % 0.38/0.76 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.38/0.76 (define @t6 () (tptp.ssItem @t1)) % 0.38/0.76 (define @t7 () (@list @t1)) % 0.38/0.76 (define @t8 () (tptp.ssItem @t2)) % 0.38/0.76 (define @t9 () (@list @t2)) % 0.38/0.76 (define @t10 () (@var "X" $$unsorted)) % 0.38/0.76 (define @t11 () (tptp.cons @t1 @t10)) % 0.38/0.76 (define @t12 () (@var "W" $$unsorted)) % 0.38/0.76 (define @t13 () (tptp.ssList @t10)) % 0.38/0.76 (define @t14 () (@list @t10)) % 0.38/0.76 (define @t15 () (tptp.ssList @t12)) % 0.38/0.76 (define @t16 () (@list @t12)) % 0.38/0.76 (define @t17 () (tptp.ssList @t2)) % 0.38/0.76 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.38/0.76 (define @t19 () (tptp.app @t1 @t12)) % 0.38/0.76 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.38/0.76 (define @t21 () (tptp.ssList @t1)) % 0.38/0.76 (define @t22 () (tptp.app @t12 @t1)) % 0.38/0.76 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.38/0.76 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.38/0.76 (define @t25 () (tptp.leq @t12 @t1)) % 0.38/0.76 (define @t26 () (tptp.leq @t1 @t12)) % 0.38/0.76 (define @t27 () (@var "Z" $$unsorted)) % 0.38/0.76 (define @t28 () (@var "Y" $$unsorted)) % 0.38/0.76 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.38/0.76 (define @t30 () (tptp.ssList @t27)) % 0.38/0.76 (define @t31 () (@list @t27)) % 0.38/0.76 (define @t32 () (tptp.ssList @t28)) % 0.38/0.76 (define @t33 () (@list @t28)) % 0.38/0.76 (define @t34 () (tptp.ssItem @t12)) % 0.38/0.76 (define @t35 () (tptp.lt @t1 @t12)) % 0.38/0.76 (define @t36 () (tptp.strictorderedP @t2)) % 0.38/0.76 (define @t37 () (= @t1 @t12)) % 0.38/0.76 (define @t38 () (forall @t7 (=> @t21 @t5))) % 0.38/0.76 (define @t39 () (=> @t17 @t38)) % 0.38/0.76 (define @t40 () (forall @t9 @t39)) % 0.38/0.76 (define @t41 () (tptp.cons @t1 @t2)) % 0.38/0.76 (define @t42 () (tptp.ssList tptp.nil)) % 0.38/0.76 (define @t43 () (= @t1 @t2)) % 0.38/0.76 (define @t44 () (tptp.cons @t12 @t1)) % 0.38/0.76 (define @t45 () (= tptp.nil @t2)) % 0.38/0.76 (define @t46 () (tptp.hd @t2)) % 0.38/0.76 (define @t47 () (not @t45)) % 0.38/0.76 (define @t48 () (tptp.tl @t2)) % 0.38/0.76 (define @t49 () (tptp.app @t2 @t1)) % 0.38/0.76 (define @t50 () (tptp.app @t1 @t2)) % 0.38/0.76 (define @t51 () (tptp.leq @t1 @t2)) % 0.38/0.76 (define @t52 () (tptp.leq @t2 @t1)) % 0.38/0.76 (define @t53 () (tptp.geq @t2 @t1)) % 0.38/0.76 (define @t54 () (tptp.lt @t1 @t2)) % 0.38/0.76 (define @t55 () (tptp.lt @t2 @t1)) % 0.38/0.76 (define @t56 () (tptp.lt @t2 @t12)) % 0.38/0.76 (define @t57 () (tptp.gt @t2 @t1)) % 0.38/0.76 (define @t58 () (tptp.memberP @t12 @t2)) % 0.38/0.76 (define @t59 () (tptp.frontsegP @t1 @t2)) % 0.38/0.76 (define @t60 () (tptp.frontsegP @t2 @t2)) % 0.38/0.76 (define @t61 () (forall @t9 (=> @t17 @t60))) % 0.38/0.76 (define @t62 () (tptp.frontsegP (tptp.app @t2 @t12) @t1)) % 0.38/0.76 (define @t63 () (=> @t20 @t62)) % 0.38/0.76 (define @t64 () (forall @t16 (=> @t15 @t63))) % 0.38/0.76 (define @t65 () (=> @t21 @t64)) % 0.38/0.76 (define @t66 () (forall @t7 @t65)) % 0.38/0.76 (define @t67 () (=> @t17 @t66)) % 0.38/0.76 (define @t68 () (forall @t9 @t67)) % 0.38/0.76 (define @t69 () (tptp.frontsegP tptp.nil @t2)) % 0.38/0.76 (define @t70 () (=> @t17 (= @t69 @t45))) % 0.38/0.76 (define @t71 () (forall @t9 @t70)) % 0.38/0.76 (define @t72 () (tptp.app @t12 @t2)) % 0.38/0.76 (define @t73 () (tptp.cons @t2 tptp.nil)) % 0.38/0.76 (define @t74 () (tptp.hd @t1)) % 0.38/0.76 (define @t75 () (= tptp.nil @t1)) % 0.38/0.76 (define @t76 () (not @t75)) % 0.38/0.76 (define @t77 () (tptp.cons @t2 @t1)) % 0.38/0.76 (define @t78 () (= @t12 @t2)) % 0.38/0.76 (define @t79 () (tptp.neq @t2 tptp.nil)) % 0.38/0.76 (define @t80 () (or (not (tptp.neq @t1 tptp.nil)) (and @t79 @t59))) % 0.38/0.76 (define @t81 () (or @t76 @t45)) % 0.38/0.76 (define @t82 () (and @t81 @t80)) % 0.38/0.76 (define @t83 () (not (= tptp.nil @t10))) % 0.38/0.76 (define @t84 () (and @t83 (= tptp.nil @t12))) % 0.38/0.76 (define @t85 () (@var "X2" $$unsorted)) % 0.38/0.76 (define @t86 () (tptp.lt @t85 @t27)) % 0.38/0.76 (define @t87 () (tptp.cons @t85 tptp.nil)) % 0.38/0.76 (define @t88 () (@var "X3" $$unsorted)) % 0.38/0.76 (define @t89 () (tptp.app @t88 @t87)) % 0.38/0.76 (define @t90 () (tptp.ssList @t88)) % 0.38/0.76 (define @t91 () (and @t90 (= @t89 @t12) @t86)) % 0.38/0.76 (define @t92 () (@list @t88)) % 0.38/0.76 (define @t93 () (exists @t92 @t91)) % 0.38/0.76 (define @t94 () (tptp.ssItem @t85)) % 0.38/0.76 (define @t95 () (and @t94 @t93)) % 0.38/0.76 (define @t96 () (@list @t85)) % 0.38/0.76 (define @t97 () (exists @t96 @t95)) % 0.38/0.76 (define @t98 () (@var "X1" $$unsorted)) % 0.38/0.76 (define @t99 () (tptp.cons @t27 tptp.nil)) % 0.38/0.76 (define @t100 () (tptp.app @t99 @t98)) % 0.38/0.76 (define @t101 () (tptp.ssList @t98)) % 0.38/0.76 (define @t102 () (and @t101 (= @t100 @t28) @t97)) % 0.38/0.76 (define @t103 () (@list @t98)) % 0.38/0.76 (define @t104 () (exists @t103 @t102)) % 0.38/0.76 (define @t105 () (tptp.ssItem @t27)) % 0.38/0.76 (define @t106 () (and @t105 @t104)) % 0.38/0.76 (define @t107 () (exists @t31 @t106)) % 0.38/0.76 (define @t108 () (not (tptp.strictorderedP @t12))) % 0.38/0.76 (define @t109 () (tptp.app @t12 @t28)) % 0.38/0.76 (define @t110 () (not (= @t109 @t10))) % 0.38/0.76 (define @t111 () (or @t110 @t108 @t107)) % 0.38/0.76 (define @t112 () (=> @t32 @t111)) % 0.38/0.76 (define @t113 () (forall @t33 @t112)) % 0.38/0.76 (define @t114 () (not (= @t2 @t12))) % 0.38/0.76 (define @t115 () (not (= @t1 @t10))) % 0.38/0.76 (define @t116 () (or @t115 @t114 @t113 @t84 @t82)) % 0.38/0.76 (define @t117 () (=> @t13 @t116)) % 0.38/0.76 (define @t118 () (forall @t14 @t117)) % 0.38/0.76 (define @t119 () (=> @t15 @t118)) % 0.38/0.76 (define @t120 () (forall @t16 @t119)) % 0.38/0.76 (define @t121 () (=> @t21 @t120)) % 0.38/0.76 (define @t122 () (forall @t7 @t121)) % 0.38/0.76 (define @t123 () (=> @t17 @t122)) % 0.38/0.76 (define @t124 () (forall @t9 @t123)) % 0.38/0.76 (define @t125 () (not @t124)) % 0.38/0.76 (define @t126 () (@var "BOUND_VARIABLE_11207" $$unsorted)) % 0.38/0.76 (define @t127 () (@var "BOUND_VARIABLE_11030" $$unsorted)) % 0.38/0.76 (define @t128 () (tptp.app @t99 @t127)) % 0.38/0.76 (define @t129 () (not (tptp.ssList @t127))) % 0.38/0.76 (define @t130 () (@var "BOUND_VARIABLE_11015" $$unsorted)) % 0.38/0.76 (define @t131 () (@var "BOUND_VARIABLE_11017" $$unsorted)) % 0.38/0.76 (define @t132 () (tptp.app @t131 (tptp.cons @t130 tptp.nil))) % 0.38/0.76 (define @t133 () (not (= @t2 @t132))) % 0.38/0.76 (define @t134 () (not (tptp.ssList @t131))) % 0.38/0.76 (define @t135 () (not (tptp.lt @t130 @t27))) % 0.38/0.76 (define @t136 () (not (tptp.ssItem @t130))) % 0.38/0.76 (define @t137 () (not @t105)) % 0.38/0.76 (define @t138 () (@list @t27 @t130 @t131 @t127)) % 0.38/0.76 (define @t139 () (not (forall @t138 (or @t137 @t136 @t135 @t134 @t133 @t129 (not (= @t128 @t126)))))) % 0.38/0.76 (define @t140 () (not (tptp.ssList @t126))) % 0.38/0.76 (define @t141 () (= @t2 tptp.nil)) % 0.38/0.76 (define @t142 () (tptp.app @t2 @t126)) % 0.38/0.76 (define @t143 () (not (= tptp.nil @t142))) % 0.38/0.76 (define @t144 () (and @t143 @t141)) % 0.38/0.76 (define @t145 () (and (or @t143 @t141) (or (not (tptp.neq @t142 tptp.nil)) (and @t79 (tptp.frontsegP @t142 @t2))))) % 0.38/0.76 (define @t146 () (not (tptp.ssList @t142))) % 0.38/0.76 (define @t147 () (not @t36)) % 0.38/0.76 (define @t148 () (not @t17)) % 0.38/0.76 (define @t149 () (or @t148 @t147 @t146 @t145 @t144 @t140 @t139)) % 0.38/0.76 (define @t150 () (@list @t2 @t126)) % 0.38/0.76 (define @t151 () (forall @t150 @t149)) % 0.38/0.76 (define @t152 () (@quantifiers_skolemize @t151 1)) % 0.38/0.76 (define @t153 () (@quantifiers_skolemize @t151 0)) % 0.38/0.76 (define @t154 () (tptp.app @t153 @t152)) % 0.38/0.76 (define @t155 () (= tptp.nil @t154)) % 0.38/0.76 (define @t156 () (= tptp.nil @t153)) % 0.38/0.76 (define @t157 () (not @t155)) % 0.38/0.76 (define @t158 () (or @t157 @t156)) % 0.38/0.76 (define @t159 () (not @t157)) % 0.38/0.76 (define @t160 () (or @t146 @t145 @t144 @t140 @t139)) % 0.38/0.76 (define @t161 () (or @t148 @t147 @t160)) % 0.38/0.76 (define @t162 () (forall @t150 @t161)) % 0.38/0.76 (define @t163 () (@list @t126)) % 0.38/0.76 (define @t164 () (forall @t163 @t161)) % 0.38/0.76 (define @t165 () (forall @t163 @t160)) % 0.38/0.76 (define @t166 () (@var "BOUND_VARIABLE_11160" $$unsorted)) % 0.38/0.76 (define @t167 () (@list @t166)) % 0.38/0.76 (define @t168 () (or @t148 @t147 @t165)) % 0.38/0.76 (define @t169 () (not (forall @t138 (or @t137 @t136 @t135 @t134 @t133 @t129 (not (= @t128 @t166)))))) % 0.38/0.76 (define @t170 () (not (tptp.ssList @t166))) % 0.38/0.76 (define @t171 () (tptp.app @t2 @t166)) % 0.38/0.76 (define @t172 () (not (= tptp.nil @t171))) % 0.38/0.76 (define @t173 () (and @t172 @t141)) % 0.38/0.76 (define @t174 () (or (not (tptp.neq @t171 tptp.nil)) (and @t79 (tptp.frontsegP @t171 @t2)))) % 0.38/0.76 (define @t175 () (and (or @t172 @t141) @t174)) % 0.38/0.76 (define @t176 () (not (tptp.ssList @t171))) % 0.38/0.76 (define @t177 () (or @t176 @t175 @t173 @t170 @t169)) % 0.38/0.76 (define @t178 () (@list @t166)) % 0.38/0.76 (define @t179 () (or @t148 @t147 (forall @t178 @t177))) % 0.38/0.76 (define @t180 () (not (= @t171 @t171))) % 0.38/0.76 (define @t181 () (not (= @t171 tptp.nil))) % 0.38/0.76 (define @t182 () (and @t181 @t141)) % 0.38/0.76 (define @t183 () (or @t181 @t141)) % 0.38/0.76 (define @t184 () (and @t183 @t174)) % 0.38/0.76 (define @t185 () (or @t176 @t184 @t182 @t170 @t180 @t169)) % 0.38/0.76 (define @t186 () (not (= @t1 @t171))) % 0.38/0.76 (define @t187 () (not (= @t1 tptp.nil))) % 0.38/0.76 (define @t188 () (and @t187 @t141)) % 0.38/0.76 (define @t189 () (and (or @t187 @t141) @t80)) % 0.38/0.76 (define @t190 () (not @t21)) % 0.38/0.76 (define @t191 () (or @t186 @t190 @t189 @t188 @t170 @t186 @t169)) % 0.38/0.76 (define @t192 () (or @t190 @t189 @t188 @t170 @t186 @t169)) % 0.38/0.76 (define @t193 () (forall @t7 @t192)) % 0.38/0.76 (define @t194 () (forall @t178 @t193)) % 0.38/0.76 (define @t195 () (forall (@list @t166 @t1) @t192)) % 0.38/0.76 (define @t196 () (@list @t1 @t166)) % 0.38/0.76 (define @t197 () (or @t170 @t186 @t169)) % 0.38/0.76 (define @t198 () (or @t190 @t189 @t188 @t197)) % 0.38/0.76 (define @t199 () (forall @t196 @t198)) % 0.38/0.76 (define @t200 () (forall @t178 @t198)) % 0.38/0.76 (define @t201 () (forall @t178 @t197)) % 0.38/0.76 (define @t202 () (@var "BOUND_VARIABLE_11112" $$unsorted)) % 0.38/0.76 (define @t203 () (@list @t202)) % 0.38/0.76 (define @t204 () (or @t190 @t189 @t188 @t201)) % 0.38/0.76 (define @t205 () (not (= @t128 @t202))) % 0.38/0.76 (define @t206 () (not (forall @t138 (or @t137 @t136 @t135 @t134 @t133 @t129 @t205)))) % 0.38/0.76 (define @t207 () (not (= @t1 (tptp.app @t2 @t202)))) % 0.38/0.76 (define @t208 () (not (tptp.ssList @t202))) % 0.38/0.76 (define @t209 () (or @t208 @t207 @t206)) % 0.38/0.76 (define @t210 () (@list @t202)) % 0.38/0.76 (define @t211 () (forall @t210 @t209)) % 0.38/0.76 (define @t212 () (or @t190 @t189 @t188 @t211)) % 0.38/0.76 (define @t213 () (forall @t7 @t212)) % 0.38/0.76 (define @t214 () (or @t148 @t147 @t213)) % 0.38/0.76 (define @t215 () (or @t148 @t147 @t212)) % 0.38/0.76 (define @t216 () (or @t190 @t189 @t148 @t147 @t188 @t211)) % 0.38/0.76 (define @t217 () (or @t189 @t190 @t148 @t147 @t188 @t211)) % 0.38/0.76 (define @t218 () (or @t148 @t147 @t188 @t211)) % 0.38/0.76 (define @t219 () (or @t148 @t147 @t188 @t209)) % 0.38/0.76 (define @t220 () (or @t148 @t147 @t188 @t208 @t207 @t206)) % 0.38/0.76 (define @t221 () (not (= @t2 @t2))) % 0.38/0.76 (define @t222 () (or @t148 @t221 @t147 @t188 @t208 @t207 @t206)) % 0.38/0.76 (define @t223 () (not (= @t12 @t132))) % 0.38/0.76 (define @t224 () (not (forall @t138 (or @t137 @t136 @t135 @t134 @t223 @t129 @t205)))) % 0.38/0.76 (define @t225 () (not (= @t1 (tptp.app @t12 @t202)))) % 0.38/0.76 (define @t226 () (= @t12 tptp.nil)) % 0.38/0.76 (define @t227 () (and @t187 @t226)) % 0.38/0.76 (define @t228 () (not @t15)) % 0.38/0.76 (define @t229 () (or @t114 @t228 @t114 @t108 @t227 @t208 @t225 @t224)) % 0.38/0.76 (define @t230 () (or @t228 @t114 @t108 @t227 @t208 @t225 @t224)) % 0.38/0.76 (define @t231 () (forall @t16 @t230)) % 0.38/0.76 (define @t232 () (forall @t210 @t231)) % 0.38/0.76 (define @t233 () (forall (@list @t202 @t12) @t230)) % 0.38/0.76 (define @t234 () (@list @t12 @t202)) % 0.38/0.76 (define @t235 () (or @t208 @t225 @t224)) % 0.38/0.76 (define @t236 () (or @t228 @t114 @t108 @t227 @t235)) % 0.38/0.76 (define @t237 () (forall @t234 @t236)) % 0.38/0.76 (define @t238 () (forall @t210 @t236)) % 0.38/0.76 (define @t239 () (forall @t210 @t235)) % 0.38/0.76 (define @t240 () (@var "BOUND_VARIABLE_11067" $$unsorted)) % 0.38/0.76 (define @t241 () (@list @t240)) % 0.38/0.76 (define @t242 () (or @t228 @t114 @t108 @t227 @t239)) % 0.38/0.76 (define @t243 () (not (forall @t138 (or @t137 @t136 @t135 @t134 @t223 @t129 (not (= @t128 @t240)))))) % 0.38/0.76 (define @t244 () (tptp.app @t12 @t240)) % 0.38/0.76 (define @t245 () (not (= @t1 @t244))) % 0.38/0.76 (define @t246 () (not (tptp.ssList @t240))) % 0.38/0.76 (define @t247 () (or @t246 @t245 @t243)) % 0.38/0.76 (define @t248 () (@list @t240)) % 0.38/0.76 (define @t249 () (forall @t248 @t247)) % 0.38/0.76 (define @t250 () (or @t228 @t114 @t108 @t227 @t249)) % 0.38/0.76 (define @t251 () (forall @t16 @t250)) % 0.38/0.76 (define @t252 () (or @t189 @t190 @t251)) % 0.38/0.76 (define @t253 () (or @t189 @t190 @t250)) % 0.38/0.76 (define @t254 () (or @t228 @t114 @t189 @t108 @t190 @t227 @t249)) % 0.38/0.76 (define @t255 () (or @t114 @t189 @t108 @t190 @t227 @t249)) % 0.38/0.76 (define @t256 () (or @t190 @t227 @t249)) % 0.38/0.76 (define @t257 () (or @t190 @t227 @t247)) % 0.38/0.76 (define @t258 () (or @t190 @t227 @t246 @t245 @t243)) % 0.38/0.76 (define @t259 () (not (= @t1 @t1))) % 0.38/0.76 (define @t260 () (or @t190 @t259 @t227 @t246 @t245 @t243)) % 0.38/0.76 (define @t261 () (not (= @t10 @t244))) % 0.38/0.76 (define @t262 () (and (not (= @t10 tptp.nil)) @t226)) % 0.38/0.76 (define @t263 () (not @t13)) % 0.38/0.76 (define @t264 () (or @t115 @t263 @t115 @t262 @t246 @t261 @t243)) % 0.38/0.76 (define @t265 () (or @t263 @t115 @t262 @t246 @t261 @t243)) % 0.38/0.76 (define @t266 () (forall @t14 @t265)) % 0.38/0.76 (define @t267 () (forall @t248 @t266)) % 0.38/0.76 (define @t268 () (forall (@list @t240 @t10) @t265)) % 0.38/0.76 (define @t269 () (@list @t10 @t240)) % 0.38/0.76 (define @t270 () (not (= @t240 @t128))) % 0.38/0.76 (define @t271 () (or @t137 @t136 @t135 @t134 @t223 @t129 @t270)) % 0.38/0.76 (define @t272 () (forall @t138 @t271)) % 0.38/0.76 (define @t273 () (not @t272)) % 0.38/0.76 (define @t274 () (or @t263 @t115 @t262 @t246 @t261 @t273)) % 0.38/0.76 (define @t275 () (or @t246 @t261 @t273)) % 0.38/0.76 (define @t276 () (or @t263 @t115 @t262 @t275)) % 0.38/0.76 (define @t277 () (forall @t269 @t276)) % 0.38/0.76 (define @t278 () (forall @t248 @t276)) % 0.38/0.76 (define @t279 () (forall @t248 @t275)) % 0.38/0.76 (define @t280 () (or @t263 @t115 @t262 @t279)) % 0.38/0.76 (define @t281 () (not (= @t28 @t128))) % 0.38/0.76 (define @t282 () (or @t137 @t136 @t135 @t134 @t223 @t129 @t281)) % 0.38/0.76 (define @t283 () (not (forall @t138 @t282))) % 0.38/0.76 (define @t284 () (not (= @t10 @t109))) % 0.38/0.76 (define @t285 () (not @t32)) % 0.38/0.76 (define @t286 () (or @t285 @t284 @t283)) % 0.38/0.76 (define @t287 () (forall @t33 @t286)) % 0.38/0.76 (define @t288 () (or @t263 @t115 @t262 @t287)) % 0.38/0.76 (define @t289 () (forall @t14 @t288)) % 0.38/0.76 (define @t290 () (or @t114 @t189 @t108 @t289)) % 0.38/0.76 (define @t291 () (or @t114 @t189 @t108 @t288)) % 0.38/0.76 (define @t292 () (or @t263 @t115 @t114 @t262 @t189 @t108 @t287)) % 0.38/0.76 (define @t293 () (or @t115 @t114 @t262 @t189 @t108 @t287)) % 0.38/0.76 (define @t294 () (or @t108 @t287)) % 0.38/0.76 (define @t295 () (or @t108 @t286)) % 0.38/0.76 (define @t296 () (or @t285 @t284 @t108 @t283)) % 0.38/0.76 (define @t297 () (or @t284 @t108 @t283)) % 0.38/0.76 (define @t298 () (or @t129 @t281)) % 0.38/0.76 (define @t299 () (or @t136 @t135 @t134 @t223)) % 0.38/0.76 (define @t300 () (or @t137 @t299 @t298)) % 0.38/0.76 (define @t301 () (forall @t138 @t300)) % 0.38/0.76 (define @t302 () (forall (@list @t130 @t131 @t127) @t300)) % 0.38/0.76 (define @t303 () (forall (@list @t127) @t298)) % 0.38/0.76 (define @t304 () (forall (@list @t130 @t131) @t299)) % 0.38/0.76 (define @t305 () (@var "BOUND_VARIABLE_10980" $$unsorted)) % 0.38/0.76 (define @t306 () (or @t137 @t304 @t303)) % 0.38/0.76 (define @t307 () (= @t28 @t100)) % 0.38/0.76 (define @t308 () (not @t307)) % 0.38/0.76 (define @t309 () (not @t101)) % 0.38/0.76 (define @t310 () (or @t309 @t308)) % 0.38/0.76 (define @t311 () (forall @t103 @t310)) % 0.38/0.76 (define @t312 () (not (= @t12 (tptp.app @t305 @t87)))) % 0.38/0.76 (define @t313 () (not (tptp.ssList @t305))) % 0.38/0.76 (define @t314 () (not @t86)) % 0.38/0.76 (define @t315 () (not @t94)) % 0.38/0.76 (define @t316 () (or @t315 @t314 @t313 @t312)) % 0.38/0.76 (define @t317 () (@list @t85 @t305)) % 0.38/0.76 (define @t318 () (forall @t317 @t316)) % 0.38/0.76 (define @t319 () (or @t137 @t318 @t311)) % 0.38/0.76 (define @t320 () (or @t318 @t311)) % 0.38/0.76 (define @t321 () (not @t320)) % 0.38/0.76 (define @t322 () (and @t105 @t321)) % 0.38/0.76 (define @t323 () (forall @t31 (not @t322))) % 0.38/0.76 (define @t324 () (not @t323)) % 0.38/0.76 (define @t325 () (or @t318 @t310)) % 0.38/0.76 (define @t326 () (or @t309 @t308 @t318)) % 0.38/0.76 (define @t327 () (not @t318)) % 0.38/0.76 (define @t328 () (not @t327)) % 0.38/0.76 (define @t329 () (or @t309 @t308 @t328)) % 0.38/0.76 (define @t330 () (and @t101 @t307 @t327)) % 0.38/0.76 (define @t331 () (forall @t103 (not @t330))) % 0.38/0.76 (define @t332 () (not @t331)) % 0.38/0.76 (define @t333 () (or @t313 @t312)) % 0.38/0.76 (define @t334 () (or @t315 @t314 @t333)) % 0.38/0.76 (define @t335 () (forall @t317 @t334)) % 0.38/0.76 (define @t336 () (@list @t305)) % 0.38/0.76 (define @t337 () (forall @t336 @t334)) % 0.38/0.76 (define @t338 () (forall @t336 @t333)) % 0.38/0.76 (define @t339 () (or @t315 @t314 @t338)) % 0.38/0.76 (define @t340 () (= @t12 @t89)) % 0.38/0.76 (define @t341 () (not @t340)) % 0.38/0.76 (define @t342 () (not @t90)) % 0.38/0.76 (define @t343 () (or @t342 @t341)) % 0.38/0.76 (define @t344 () (forall @t92 @t343)) % 0.38/0.76 (define @t345 () (or @t315 @t314 @t344)) % 0.38/0.76 (define @t346 () (or @t314 @t344)) % 0.38/0.76 (define @t347 () (not @t346)) % 0.38/0.76 (define @t348 () (and @t94 @t347)) % 0.38/0.76 (define @t349 () (forall @t96 (not @t348))) % 0.38/0.76 (define @t350 () (not @t349)) % 0.38/0.76 (define @t351 () (or @t314 @t343)) % 0.38/0.76 (define @t352 () (or @t342 @t341 @t314)) % 0.38/0.76 (define @t353 () (and @t90 @t340 @t86)) % 0.38/0.76 (define @t354 () (forall @t92 (not @t353))) % 0.38/0.76 (define @t355 () (not @t354)) % 0.38/0.76 (define @t356 () (not (= @t128 @t152))) % 0.38/0.76 (define @t357 () (tptp.ssList @t152)) % 0.38/0.76 (define @t358 () (not @t357)) % 0.38/0.76 (define @t359 () (and @t157 @t156)) % 0.38/0.76 (define @t360 () (tptp.frontsegP @t154 @t153)) % 0.38/0.76 (define @t361 () (tptp.neq @t153 tptp.nil)) % 0.38/0.76 (define @t362 () (and @t361 @t360)) % 0.38/0.76 (define @t363 () (tptp.neq @t154 tptp.nil)) % 0.38/0.76 (define @t364 () (not @t363)) % 0.38/0.76 (define @t365 () (or @t364 @t362)) % 0.38/0.76 (define @t366 () (and @t158 @t365)) % 0.38/0.76 (define @t367 () (not (tptp.ssList @t154))) % 0.38/0.76 (define @t368 () (not (tptp.strictorderedP @t153))) % 0.38/0.76 (define @t369 () (tptp.ssList @t153)) % 0.38/0.76 (define @t370 () (not @t369)) % 0.38/0.76 (define @t371 () (or @t370 @t368 @t367 @t366 @t359 @t358 (not (forall @t138 (or @t137 @t136 @t135 @t134 (not (= @t132 @t153)) @t129 @t356))))) % 0.38/0.76 (define @t372 () (not @t371)) % 0.38/0.76 (define @t373 () (not @t151)) % 0.38/0.76 (define @t374 () (not (= @t153 @t132))) % 0.38/0.76 (define @t375 () (or @t137 @t136 @t135 @t134 @t374 @t129 @t356)) % 0.38/0.76 (define @t376 () (forall @t138 @t375)) % 0.38/0.76 (define @t377 () (not @t376)) % 0.38/0.76 (define @t378 () (= @t153 tptp.nil)) % 0.38/0.76 (define @t379 () (and @t157 @t378)) % 0.38/0.76 (define @t380 () (or @t157 @t378)) % 0.38/0.76 (define @t381 () (and @t380 @t365)) % 0.38/0.76 (define @t382 () (or @t370 @t368 @t367 @t381 @t379 @t358 @t377)) % 0.38/0.76 (define @t383 () (not @t382)) % 0.38/0.76 (define @t384 () (@list true)) % 0.38/0.76 (define @t385 () (@list @t371)) % 0.38/0.76 (define @t386 () (not @t156)) % 0.38/0.76 (define @t387 () (@var "BOUND_VARIABLE_9131" $$unsorted)) % 0.38/0.76 (define @t388 () (= (tptp.neq @t2 @t387) (not (= @t2 @t387)))) % 0.38/0.76 (define @t389 () (not (tptp.ssList @t387))) % 0.38/0.76 (define @t390 () (or @t148 @t389 @t388)) % 0.38/0.76 (define @t391 () (or @t389 @t388)) % 0.38/0.76 (define @t392 () (or @t148 @t391)) % 0.38/0.76 (define @t393 () (@list @t2 @t387)) % 0.38/0.76 (define @t394 () (forall @t393 @t392)) % 0.38/0.76 (define @t395 () (@list @t387)) % 0.38/0.76 (define @t396 () (forall @t395 @t392)) % 0.38/0.76 (define @t397 () (forall @t395 @t391)) % 0.38/0.76 (define @t398 () (or @t148 @t397)) % 0.38/0.76 (define @t399 () (forall @t7 (or @t190 @t5))) % 0.38/0.76 (define @t400 () (not @t378)) % 0.38/0.76 (define @t401 () (= @t361 @t400)) % 0.38/0.76 (define @t402 () (not @t42)) % 0.38/0.76 (define @t403 () (or @t370 @t402 @t401)) % 0.38/0.76 (define @t404 () (forall @t393 @t390)) % 0.38/0.76 (define @t405 () (= @t361 @t386)) % 0.38/0.76 (define @t406 () (or @t370 @t402 @t405)) % 0.38/0.76 (define @t407 () (@list false)) % 0.38/0.76 (define @t408 () (not @t405)) % 0.38/0.76 (define @t409 () (@var "BOUND_VARIABLE_9858" $$unsorted)) % 0.38/0.76 (define @t410 () (@var "BOUND_VARIABLE_9860" $$unsorted)) % 0.38/0.76 (define @t411 () (tptp.frontsegP (tptp.app @t2 @t410) @t409)) % 0.38/0.76 (define @t412 () (not (tptp.ssList @t410))) % 0.38/0.76 (define @t413 () (not (tptp.frontsegP @t2 @t409))) % 0.38/0.76 (define @t414 () (not (tptp.ssList @t409))) % 0.38/0.76 (define @t415 () (or @t414 @t413 @t412 @t411)) % 0.38/0.76 (define @t416 () (or @t148 @t415)) % 0.38/0.76 (define @t417 () (forall (@list @t2 @t409 @t410) @t416)) % 0.38/0.76 (define @t418 () (@list @t409 @t410)) % 0.38/0.76 (define @t419 () (forall @t418 @t416)) % 0.38/0.76 (define @t420 () (forall @t418 @t415)) % 0.38/0.76 (define @t421 () (@var "BOUND_VARIABLE_9842" $$unsorted)) % 0.38/0.76 (define @t422 () (or @t148 @t420)) % 0.38/0.76 (define @t423 () (tptp.frontsegP (tptp.app @t2 @t421) @t1)) % 0.38/0.76 (define @t424 () (not (tptp.ssList @t421))) % 0.38/0.76 (define @t425 () (not @t20)) % 0.38/0.76 (define @t426 () (or @t190 @t425 @t424 @t423)) % 0.38/0.76 (define @t427 () (@list @t1 @t421)) % 0.38/0.76 (define @t428 () (forall @t427 @t426)) % 0.38/0.76 (define @t429 () (or @t424 @t423)) % 0.38/0.76 (define @t430 () (or @t190 @t425 @t429)) % 0.38/0.76 (define @t431 () (forall @t427 @t430)) % 0.38/0.76 (define @t432 () (@list @t421)) % 0.38/0.76 (define @t433 () (forall @t432 @t430)) % 0.38/0.76 (define @t434 () (forall @t432 @t429)) % 0.38/0.76 (define @t435 () (or @t190 @t425 @t434)) % 0.38/0.76 (define @t436 () (or @t228 @t62)) % 0.38/0.76 (define @t437 () (forall @t16 @t436)) % 0.38/0.76 (define @t438 () (or @t190 @t425 @t437)) % 0.38/0.76 (define @t439 () (or @t425 @t437)) % 0.38/0.76 (define @t440 () (or @t425 @t436)) % 0.38/0.76 (define @t441 () (or @t228 @t425 @t62)) % 0.38/0.76 (define @t442 () (@list @t153)) % 0.38/0.76 (define @t443 () (tptp.frontsegP @t153 @t153)) % 0.38/0.76 (define @t444 () (or @t370 @t443)) % 0.38/0.76 (define @t445 () (@list false false)) % 0.38/0.76 (define @t446 () (not @t443)) % 0.38/0.76 (define @t447 () (or @t370 @t370 @t446 @t358 @t360)) % 0.38/0.76 (define @t448 () (= @t69 @t141)) % 0.38/0.76 (define @t449 () (tptp.frontsegP tptp.nil @t153)) % 0.38/0.76 (define @t450 () (or @t370 (= @t449 @t378))) % 0.38/0.76 (define @t451 () (forall @t9 (or @t148 @t448))) % 0.38/0.76 (define @t452 () (= @t156 @t449)) % 0.38/0.76 (define @t453 () (or @t370 @t452)) % 0.38/0.76 (define @t454 () (not @t361)) % 0.38/0.76 (define @t455 () (and @t155 @t156 @t454)) % 0.38/0.76 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.38/0.76 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.38/0.76 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.38/0.76 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.38/0.76 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.38/0.76 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.38/0.76 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.38/0.76 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.38/0.76 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.38/0.76 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.38/0.76 (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))))))))))))))) % 0.38/0.76 (assume @p12 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.38/0.76 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t37)))))))))))))))) % 0.38/0.76 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t37))))))))))))) % 0.38/0.76 (assume @p15 @t40) % 0.38/0.76 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 0.38/0.76 (assume @p17 @t42) % 0.38/0.76 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 0.38/0.76 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t43))))))))))) % 0.38/0.76 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 0.38/0.76 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 0.38/0.76 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 0.38/0.76 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 0.38/0.76 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 0.38/0.76 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 0.38/0.76 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 0.38/0.76 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 0.38/0.76 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.38/0.76 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 0.38/0.76 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12))))))))) % 0.38/0.76 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.38/0.76 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 0.38/0.76 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 0.38/0.76 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t56)))))))) % 0.38/0.76 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 0.38/0.76 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t58))))))))) % 0.38/0.76 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 0.38/0.76 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.38/0.76 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.38/0.76 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.38/0.76 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 @t59) @t3)))))) % 0.38/0.76 (assume @p42 @t61) % 0.38/0.76 (assume @p43 @t68) % 0.38/0.76 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 0.38/0.76 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.38/0.76 (assume @p46 @t71) % 0.38/0.76 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.38/0.76 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.38/0.76 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.38/0.76 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t72 @t1))))))))) % 0.38/0.76 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.38/0.76 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 0.38/0.76 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.38/0.76 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.38/0.76 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.38/0.76 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t72 @t10) @t1))))))))))) % 0.38/0.76 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.38/0.76 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 0.38/0.76 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t73)))) % 0.38/0.76 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.38/0.76 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t73)))) % 0.38/0.76 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.38/0.76 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t73)))) % 0.38/0.76 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.38/0.76 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t73)))) % 0.38/0.76 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.38/0.76 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t77) (or @t75 (and @t76 (tptp.totalorderedP @t1) (tptp.leq @t2 @t74))))))))) % 0.38/0.76 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t73)))) % 0.38/0.76 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.38/0.76 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t77) (or @t75 (and @t76 (tptp.strictorderedP @t1) (tptp.lt @t2 @t74))))))))) % 0.38/0.76 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t73)))) % 0.38/0.76 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.38/0.76 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t73)))) % 0.38/0.76 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.38/0.76 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 0.38/0.76 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 0.38/0.76 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t76 @t47 (= @t74 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 0.38/0.76 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 0.38/0.76 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t78)))))))) % 0.38/0.76 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t78)))))))) % 0.38/0.76 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t41 (tptp.app @t18 @t2))))))) % 0.38/0.76 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 0.38/0.76 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t49) (and @t75 @t45))))))) % 0.38/0.76 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.38/0.76 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 0.38/0.76 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 0.38/0.76 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 (tptp.geq @t1 @t2)) @t3)))))) % 0.38/0.76 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.38/0.76 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.38/0.76 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.38/0.76 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t56)))))))) % 0.38/0.76 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (or @t3 @t55))))))) % 0.38/0.76 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 (and @t4 @t52))))))) % 0.38/0.76 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not (tptp.gt @t1 @t2)))))))) % 0.38/0.76 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.38/0.76 (assume @p96 @t125) % 0.38/0.76 (assume @p97 true) % 0.38/0.76 (step @p98 :rule bool-double-not-elim :args (@t155)) % 0.38/0.76 (step @p99 :rule refl :args (@t158)) % 0.38/0.76 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t158 @t159))) % 0.38/0.76 (step @p101 :rule cnf_or_neg :args (@t158 0)) % 0.38/0.76 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.38/0.76 (step @p103 :rule reordering :premises (@p102) :args ((or @t155 @t158))) % 0.38/0.76 (step @p104 :rule aci_norm :args ((= @t161 @t149))) % 0.38/0.76 (step @p105 :rule cong :premises (@p104) :args (@t162)) % 0.38/0.76 (step @p106 :rule quant-merge-prenex :args ((= (forall @t9 @t164) @t162))) % 0.38/0.76 (step @p107 :rule alpha_equiv :args (@t165 (@list @t126) @t167)) % 0.38/0.76 (step @p108 :rule refl :args (@t147)) % 0.38/0.76 (step @p109 :rule refl :args (@t148)) % 0.38/0.76 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t168)) % 0.38/0.76 (step @p111 :rule quant-miniscope-or :args ((= @t164 @t168))) % 0.38/0.76 (step @p112 :rule trans :premises (@p111 @p110)) % 0.38/0.76 (step @p113 :rule symm :premises (@p112)) % 0.38/0.76 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 @t179))) % 0.38/0.76 (step @p115 :rule trans :premises (@p114 @p106)) % 0.38/0.76 (step @p116 :rule trans :premises (@p115 @p105)) % 0.38/0.76 (step @p117 :rule aci_norm :args ((= (or @t148 @t179) @t179))) % 0.38/0.76 (step @p118 :rule bool-impl-elim :args (@t17 @t179)) % 0.38/0.76 (step @p119 :rule trans :premises (@p118 @p117)) % 0.38/0.76 (step @p120 :rule cong :premises (@p119) :args ((forall @t9 (=> @t17 @t179)))) % 0.38/0.76 (step @p121 :rule trans :premises (@p120 @p116)) % 0.38/0.76 (step @p122 :rule aci_norm :args ((= (or @t176 @t175 @t173 @t170 false @t169) @t177))) % 0.38/0.76 (step @p123 :rule refl :args (@t169)) % 0.38/0.76 (step @p124 :rule evaluate :args ((not true))) % 0.38/0.76 (step @p125 :rule eq-refl :args (@t171)) % 0.38/0.76 (step @p126 :rule cong :premises (@p125) :args (@t180)) % 0.38/0.76 (step @p127 :rule trans :premises (@p126 @p124)) % 0.38/0.76 (step @p128 :rule refl :args (@t170)) % 0.38/0.76 (step @p129 :rule refl :args (@t141)) % 0.38/0.76 (step @p130 :rule eq-symm :args (@t171 tptp.nil)) % 0.38/0.76 (step @p131 :rule cong :premises (@p130) :args (@t181)) % 0.38/0.76 (step @p132 :rule nary_cong :premises (@p131 @p129) :args (@t182)) % 0.38/0.76 (step @p133 :rule refl :args (@t174)) % 0.38/0.76 (step @p134 :rule nary_cong :premises (@p131 @p129) :args (@t183)) % 0.38/0.76 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t184)) % 0.38/0.76 (step @p136 :rule refl :args (@t176)) % 0.38/0.76 (step @p137 :rule nary_cong :premises (@p136 @p135 @p132 @p128 @p127 @p123) :args (@t185)) % 0.38/0.76 (step @p138 :rule trans :premises (@p137 @p122)) % 0.38/0.76 (step @p139 :rule cong :premises (@p138) :args ((forall @t178 @t185))) % 0.38/0.76 (step @p140 :rule quant-var-elim-eq :args ((= (forall @t7 @t191) @t185))) % 0.38/0.76 (step @p141 :rule aci_norm :args ((= @t192 @t191))) % 0.38/0.76 (step @p142 :rule cong :premises (@p141) :args (@t193)) % 0.38/0.76 (step @p143 :rule trans :premises (@p142 @p140)) % 0.38/0.76 (step @p144 :rule cong :premises (@p143) :args (@t194)) % 0.38/0.76 (step @p145 :rule quant-merge-prenex :args ((= @t194 @t195))) % 0.38/0.76 (step @p146 :rule symm :premises (@p145)) % 0.38/0.76 (step @p147 :rule quant_var_reordering :args ((= (forall @t196 @t192) @t195))) % 0.38/0.76 (step @p148 :rule trans :premises (@p147 @p146 @p144)) % 0.38/0.76 (step @p149 :rule trans :premises (@p148 @p139)) % 0.38/0.76 (step @p150 :rule aci_norm :args ((= @t198 @t192))) % 0.38/0.76 (step @p151 :rule cong :premises (@p150) :args (@t199)) % 0.38/0.76 (step @p152 :rule trans :premises (@p151 @p149)) % 0.38/0.76 (step @p153 :rule quant-merge-prenex :args ((= (forall @t7 @t200) @t199))) % 0.38/0.76 (step @p154 :rule alpha_equiv :args (@t201 @t167 @t203)) % 0.38/0.76 (step @p155 :rule refl :args (@t188)) % 0.38/0.76 (step @p156 :rule refl :args (@t189)) % 0.38/0.76 (step @p157 :rule refl :args (@t190)) % 0.38/0.76 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154) :args (@t204)) % 0.38/0.76 (step @p159 :rule quant-miniscope-or :args ((= @t200 @t204))) % 0.38/0.76 (step @p160 :rule trans :premises (@p159 @p158)) % 0.38/0.76 (step @p161 :rule symm :premises (@p160)) % 0.38/0.76 (step @p162 :rule cong :premises (@p161) :args (@t213)) % 0.38/0.76 (step @p163 :rule trans :premises (@p162 @p153)) % 0.38/0.76 (step @p164 :rule trans :premises (@p163 @p152)) % 0.38/0.76 (step @p165 :rule refl :args (@t147)) % 0.38/0.76 (step @p166 :rule refl :args (@t148)) % 0.38/0.76 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164) :args (@t214)) % 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:rule instantiate :premises (@p646) :args (@t442)) % 0.38/0.76 (step-pop @p712 :rule scope :premises (@p655)) % 0.38/0.76 (step @p656 :rule process_scope :premises (@p712) :args (@t450)) % 0.38/0.76 (step @p658 :rule eq_resolve :premises (@p656 @p653)) % 0.38/0.76 (step @p659 :rule implies_elim :premises (@p658)) % 0.38/0.76 (step @p660 :rule chain_m_resolution :premises (@p659 @p646) :args (@t453 @t407 (@list @t451))) % 0.38/0.76 (step @p661 :rule cnf_or_pos :args (@t453)) % 0.38/0.76 (step @p662 :rule reordering :premises (@p661) :args ((or @t370 @t452 (not @t453)))) % 0.38/0.76 (step @p663 :rule chain_m_resolution :premises (@p662 @p554 @p660) :args (@t452 @t445 (@list @t369 @t453))) % 0.38/0.76 (step @p664 :rule true_intro :premises (@p632)) % 0.38/0.76 (step @p665 :rule refl :args (@t153)) % 0.38/0.76 (step @p666 :rule cong :premises (@p634 @p665) :args (@t449)) % 0.38/0.76 (step @p667 :rule trans :premises (@p666 @p664)) % 0.38/0.76 (step @p668 :rule true_elim :premises (@p667)) % 0.38/0.76 (step @p669 :rule cnf_equiv_pos2 :args (@t452)) % 0.38/0.76 (step @p670 :rule reordering :premises (@p669) :args ((or @t156 (not @t449) (not @t452)))) % 0.38/0.76 (step @p671 :rule chain_m_resolution :premises (@p670 @p668 @p663) :args (@t156 @t445 (@list @t449 @t452))) % 0.38/0.76 (step @p672 :rule cnf_equiv_pos1 :args (@t405)) % 0.38/0.76 (step @p673 :rule reordering :premises (@p672) :args ((or @t386 @t454 @t408))) % 0.38/0.76 (step @p674 :rule chain_m_resolution :premises (@p673 @p671 @p557) :args (@t454 @t445 (@list @t156 @t405))) % 0.38/0.76 (step @p675 :rule cnf_or_neg :args (@t158 1)) % 0.38/0.76 (step @p676 :rule chain_m_resolution :premises (@p675 @p671) :args (@t158 @t407 (@list @t156))) % 0.38/0.76 (step @p677 :rule chain_m_resolution :premises (@p513 @p512 @p676) :args ((not @t365) (@list true false) (@list @t366 @t158))) % 0.38/0.76 (step @p678 :rule bool-double-not-elim :args (@t363)) % 0.38/0.76 (step @p679 :rule nary_cong :premises (@p485 @p678) :args ((or @t365 (not @t364)))) % 0.38/0.76 (step @p680 :rule cnf_or_neg :args (@t365 0)) % 0.38/0.76 (step @p681 :rule eq_resolve :premises (@p680 @p679)) % 0.38/0.76 (step @p682 :rule reordering :premises (@p681) :args ((or @t363 @t365))) % 0.38/0.76 (step @p683 :rule chain_m_resolution :premises (@p682 @p677) :args (@t363 @t384 (@list @t365))) % 0.38/0.76 (step @p684 :rule refl :args (@t364)) % 0.38/0.76 (step @p685 :rule bool-double-not-elim :args (@t361)) % 0.38/0.76 (step @p686 :rule nary_cong :premises (@p483 @p505 @p685 @p684) :args ((or @t157 @t386 (not @t454) @t364))) % 0.38/0.76 (assume-push @p713 @t155) % 0.38/0.76 (assume-push @p714 @t156) % 0.38/0.76 (assume-push @p715 @t454) % 0.38/0.76 (step @p690 :rule false_intro :premises (@p674)) % 0.38/0.76 (step @p691 :rule refl :args (tptp.nil)) % 0.38/0.76 (step @p692 :rule symm :premises (@p634)) % 0.38/0.76 (step @p693 :rule trans :premises (@p692 @p671)) % 0.38/0.76 (step @p694 :rule cong :premises (@p693 @p691) :args (@t363)) % 0.38/0.76 (step @p695 :rule trans :premises (@p694 @p690)) % 0.38/0.76 (step @p696 :rule false_elim :premises (@p695)) % 0.38/0.76 (step-pop @p716 :rule scope :premises (@p696)) % 0.38/0.76 (step-pop @p717 :rule scope :premises (@p716)) % 0.38/0.76 (step-pop @p718 :rule scope :premises (@p717)) % 0.38/0.76 (step @p697 :rule process_scope :premises (@p718) :args (@t364)) % 0.38/0.76 (step @p701 :rule implies_elim :premises (@p697)) % 0.38/0.76 (step @p702 :rule cnf_and_neg :args (@t455)) % 0.38/0.76 (step @p703 :rule resolution :premises (@p702 @p701) :args (true @t455)) % 0.38/0.76 (step @p704 :rule eq_resolve :premises (@p703 @p686)) % 0.38/0.76 (step @p705 :rule reordering :premises (@p704) :args ((or @t157 @t364 @t361 @t386))) % 0.38/0.76 (step @p706 false :rule chain_m_resolution :premises (@p705 @p683 @p674 @p671 @p634) :args (false (@list false true false false) (@list @t363 @t361 @t156 @t155))) % 0.38/0.76 ) % 0.38/0.76 % SZS output end Proof % 0.38/0.76 % cvc5 exiting %------------------------------------------------------------------------------