%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC372+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 : n015.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 08:59:03 AM UTC 2026 % Result : Theorem 1.01s 1.28s % Output : Proof 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC372+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n015.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:44:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 1.01/1.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.01/1.28 % SZS status Theorem % 1.01/1.28 % SZS output start Proof % 1.01/1.28 ( % 1.01/1.28 (declare-sort $$unsorted 0) % 1.01/1.28 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.01/1.28 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.01/1.28 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.28 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.28 (declare-const tptp.nil $$unsorted) % 1.01/1.28 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.01/1.28 (define @t1 () (@var "V" $$unsorted)) % 1.01/1.28 (define @t2 () (@var "U" $$unsorted)) % 1.01/1.28 (define @t3 () (= @t2 @t1)) % 1.01/1.28 (define @t4 () (not @t3)) % 1.01/1.28 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.01/1.28 (define @t6 () (tptp.ssItem @t1)) % 1.01/1.28 (define @t7 () (@list @t1)) % 1.01/1.28 (define @t8 () (tptp.ssItem @t2)) % 1.01/1.28 (define @t9 () (@list @t2)) % 1.01/1.28 (define @t10 () (@var "X" $$unsorted)) % 1.01/1.28 (define @t11 () (tptp.cons @t1 @t10)) % 1.01/1.28 (define @t12 () (@var "W" $$unsorted)) % 1.01/1.28 (define @t13 () (tptp.ssList @t10)) % 1.01/1.28 (define @t14 () (@list @t10)) % 1.01/1.28 (define @t15 () (tptp.ssList @t12)) % 1.01/1.28 (define @t16 () (@list @t12)) % 1.01/1.28 (define @t17 () (tptp.ssList @t2)) % 1.01/1.28 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.01/1.28 (define @t19 () (tptp.app @t1 @t12)) % 1.01/1.28 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.01/1.28 (define @t21 () (tptp.ssList @t1)) % 1.01/1.28 (define @t22 () (tptp.app @t12 @t1)) % 1.01/1.28 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.01/1.28 (define @t24 () (tptp.app @t22 @t10)) % 1.01/1.28 (define @t25 () (and @t13 (= @t24 @t2))) % 1.01/1.28 (define @t26 () (exists @t14 @t25)) % 1.01/1.28 (define @t27 () (and @t15 @t26)) % 1.01/1.28 (define @t28 () (exists @t16 @t27)) % 1.01/1.28 (define @t29 () (tptp.segmentP @t2 @t1)) % 1.01/1.28 (define @t30 () (= @t29 @t28)) % 1.01/1.28 (define @t31 () (=> @t21 @t30)) % 1.01/1.28 (define @t32 () (forall @t7 @t31)) % 1.01/1.28 (define @t33 () (=> @t17 @t32)) % 1.01/1.28 (define @t34 () (forall @t9 @t33)) % 1.01/1.28 (define @t35 () (tptp.leq @t12 @t1)) % 1.01/1.28 (define @t36 () (tptp.leq @t1 @t12)) % 1.01/1.28 (define @t37 () (@var "Z" $$unsorted)) % 1.01/1.28 (define @t38 () (@var "Y" $$unsorted)) % 1.01/1.28 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 1.01/1.28 (define @t40 () (tptp.ssList @t37)) % 1.01/1.28 (define @t41 () (@list @t37)) % 1.01/1.28 (define @t42 () (tptp.ssList @t38)) % 1.01/1.28 (define @t43 () (@list @t38)) % 1.01/1.28 (define @t44 () (tptp.ssItem @t12)) % 1.01/1.28 (define @t45 () (tptp.lt @t1 @t12)) % 1.01/1.28 (define @t46 () (tptp.strictorderedP @t2)) % 1.01/1.28 (define @t47 () (= @t1 @t12)) % 1.01/1.28 (define @t48 () (tptp.cons @t1 @t2)) % 1.01/1.28 (define @t49 () (tptp.ssList tptp.nil)) % 1.01/1.28 (define @t50 () (= @t1 @t2)) % 1.01/1.28 (define @t51 () (tptp.cons @t12 @t1)) % 1.01/1.28 (define @t52 () (= tptp.nil @t2)) % 1.01/1.28 (define @t53 () (tptp.hd @t2)) % 1.01/1.28 (define @t54 () (not @t52)) % 1.01/1.28 (define @t55 () (tptp.tl @t2)) % 1.01/1.28 (define @t56 () (tptp.app @t2 @t1)) % 1.01/1.28 (define @t57 () (tptp.app @t1 @t2)) % 1.01/1.28 (define @t58 () (tptp.app tptp.nil @t2)) % 1.01/1.28 (define @t59 () (=> @t17 (= @t58 @t2))) % 1.01/1.28 (define @t60 () (forall @t9 @t59)) % 1.01/1.28 (define @t61 () (tptp.leq @t1 @t2)) % 1.01/1.28 (define @t62 () (tptp.leq @t2 @t1)) % 1.01/1.28 (define @t63 () (tptp.geq @t2 @t1)) % 1.01/1.28 (define @t64 () (tptp.lt @t1 @t2)) % 1.01/1.28 (define @t65 () (tptp.lt @t2 @t1)) % 1.01/1.28 (define @t66 () (tptp.lt @t2 @t12)) % 1.01/1.28 (define @t67 () (tptp.gt @t2 @t1)) % 1.01/1.28 (define @t68 () (tptp.memberP @t12 @t2)) % 1.01/1.28 (define @t69 () (tptp.app @t12 @t2)) % 1.01/1.28 (define @t70 () (tptp.segmentP @t1 @t2)) % 1.01/1.28 (define @t71 () (tptp.cons @t2 tptp.nil)) % 1.01/1.28 (define @t72 () (tptp.hd @t1)) % 1.01/1.28 (define @t73 () (= tptp.nil @t1)) % 1.01/1.28 (define @t74 () (not @t73)) % 1.01/1.28 (define @t75 () (tptp.cons @t2 @t1)) % 1.01/1.28 (define @t76 () (= @t12 @t2)) % 1.01/1.28 (define @t77 () (not (= tptp.nil @t10))) % 1.01/1.28 (define @t78 () (and @t77 (= tptp.nil @t12))) % 1.01/1.28 (define @t79 () (@var "X2" $$unsorted)) % 1.01/1.28 (define @t80 () (tptp.lt @t79 @t37)) % 1.01/1.28 (define @t81 () (tptp.cons @t79 tptp.nil)) % 1.01/1.28 (define @t82 () (@var "X3" $$unsorted)) % 1.01/1.28 (define @t83 () (tptp.app @t82 @t81)) % 1.01/1.28 (define @t84 () (tptp.ssList @t82)) % 1.01/1.28 (define @t85 () (and @t84 (= @t83 @t12) @t80)) % 1.01/1.28 (define @t86 () (@list @t82)) % 1.01/1.28 (define @t87 () (exists @t86 @t85)) % 1.01/1.28 (define @t88 () (tptp.ssItem @t79)) % 1.01/1.28 (define @t89 () (and @t88 @t87)) % 1.01/1.28 (define @t90 () (@list @t79)) % 1.01/1.28 (define @t91 () (exists @t90 @t89)) % 1.01/1.28 (define @t92 () (@var "X1" $$unsorted)) % 1.01/1.28 (define @t93 () (tptp.cons @t37 tptp.nil)) % 1.01/1.28 (define @t94 () (tptp.app @t93 @t92)) % 1.01/1.28 (define @t95 () (tptp.ssList @t92)) % 1.01/1.28 (define @t96 () (and @t95 (= @t94 @t38) @t91)) % 1.01/1.28 (define @t97 () (@list @t92)) % 1.01/1.28 (define @t98 () (exists @t97 @t96)) % 1.01/1.28 (define @t99 () (tptp.ssItem @t37)) % 1.01/1.28 (define @t100 () (and @t99 @t98)) % 1.01/1.28 (define @t101 () (exists @t41 @t100)) % 1.01/1.28 (define @t102 () (not (tptp.strictorderedP @t12))) % 1.01/1.28 (define @t103 () (tptp.app @t12 @t38)) % 1.01/1.28 (define @t104 () (not (= @t103 @t10))) % 1.01/1.28 (define @t105 () (or @t104 @t102 @t101)) % 1.01/1.28 (define @t106 () (=> @t42 @t105)) % 1.01/1.28 (define @t107 () (forall @t43 @t106)) % 1.01/1.28 (define @t108 () (not (= @t2 @t12))) % 1.01/1.28 (define @t109 () (not (= @t1 @t10))) % 1.01/1.28 (define @t110 () (or @t109 @t108 @t107 @t70 @t78)) % 1.01/1.28 (define @t111 () (=> @t13 @t110)) % 1.01/1.28 (define @t112 () (forall @t14 @t111)) % 1.01/1.28 (define @t113 () (=> @t15 @t112)) % 1.01/1.28 (define @t114 () (forall @t16 @t113)) % 1.01/1.28 (define @t115 () (=> @t21 @t114)) % 1.01/1.28 (define @t116 () (forall @t7 @t115)) % 1.01/1.28 (define @t117 () (=> @t17 @t116)) % 1.01/1.28 (define @t118 () (forall @t9 @t117)) % 1.01/1.28 (define @t119 () (not @t118)) % 1.01/1.28 (define @t120 () (= @t2 @t58)) % 1.01/1.28 (define @t121 () (@var "BOUND_VARIABLE_11190" $$unsorted)) % 1.01/1.28 (define @t122 () (@var "BOUND_VARIABLE_11023" $$unsorted)) % 1.01/1.28 (define @t123 () (tptp.app @t93 @t122)) % 1.01/1.28 (define @t124 () (not (tptp.ssList @t122))) % 1.01/1.28 (define @t125 () (@var "BOUND_VARIABLE_11008" $$unsorted)) % 1.01/1.28 (define @t126 () (@var "BOUND_VARIABLE_11010" $$unsorted)) % 1.01/1.28 (define @t127 () (tptp.app @t126 (tptp.cons @t125 tptp.nil))) % 1.01/1.28 (define @t128 () (not (= @t2 @t127))) % 1.01/1.28 (define @t129 () (not (tptp.ssList @t126))) % 1.01/1.28 (define @t130 () (not (tptp.lt @t125 @t37))) % 1.01/1.28 (define @t131 () (not (tptp.ssItem @t125))) % 1.01/1.28 (define @t132 () (not @t99)) % 1.01/1.28 (define @t133 () (@list @t37 @t125 @t126 @t122)) % 1.01/1.28 (define @t134 () (not (forall @t133 (or @t132 @t131 @t130 @t129 @t128 @t124 (not (= @t123 @t121)))))) % 1.01/1.28 (define @t135 () (not (tptp.ssList @t121))) % 1.01/1.28 (define @t136 () (= @t2 tptp.nil)) % 1.01/1.28 (define @t137 () (tptp.app @t2 @t121)) % 1.01/1.28 (define @t138 () (and (not (= tptp.nil @t137)) @t136)) % 1.01/1.28 (define @t139 () (tptp.segmentP @t137 @t2)) % 1.01/1.28 (define @t140 () (not (tptp.ssList @t137))) % 1.01/1.28 (define @t141 () (not @t46)) % 1.01/1.28 (define @t142 () (not @t17)) % 1.01/1.28 (define @t143 () (or @t142 @t141 @t140 @t139 @t138 @t135 @t134)) % 1.01/1.28 (define @t144 () (@list @t2 @t121)) % 1.01/1.28 (define @t145 () (forall @t144 @t143)) % 1.01/1.28 (define @t146 () (@quantifiers_skolemize @t145 0)) % 1.01/1.28 (define @t147 () (or @t140 @t139 @t138 @t135 @t134)) % 1.01/1.28 (define @t148 () (or @t142 @t141 @t147)) % 1.01/1.28 (define @t149 () (forall @t144 @t148)) % 1.01/1.28 (define @t150 () (@list @t121)) % 1.01/1.28 (define @t151 () (forall @t150 @t148)) % 1.01/1.28 (define @t152 () (forall @t150 @t147)) % 1.01/1.28 (define @t153 () (@var "BOUND_VARIABLE_11151" $$unsorted)) % 1.01/1.28 (define @t154 () (@list @t153)) % 1.01/1.28 (define @t155 () (or @t142 @t141 @t152)) % 1.01/1.28 (define @t156 () (not (forall @t133 (or @t132 @t131 @t130 @t129 @t128 @t124 (not (= @t123 @t153)))))) % 1.01/1.28 (define @t157 () (not (tptp.ssList @t153))) % 1.01/1.28 (define @t158 () (tptp.app @t2 @t153)) % 1.01/1.28 (define @t159 () (and (not (= tptp.nil @t158)) @t136)) % 1.01/1.28 (define @t160 () (tptp.segmentP @t158 @t2)) % 1.01/1.28 (define @t161 () (not (tptp.ssList @t158))) % 1.01/1.28 (define @t162 () (or @t161 @t160 @t159 @t157 @t156)) % 1.01/1.28 (define @t163 () (@list @t153)) % 1.01/1.28 (define @t164 () (or @t142 @t141 (forall @t163 @t162))) % 1.01/1.28 (define @t165 () (not (= @t158 @t158))) % 1.01/1.28 (define @t166 () (not (= @t158 tptp.nil))) % 1.01/1.28 (define @t167 () (and @t166 @t136)) % 1.01/1.28 (define @t168 () (or @t161 @t160 @t167 @t157 @t165 @t156)) % 1.01/1.28 (define @t169 () (not (= @t1 @t158))) % 1.01/1.28 (define @t170 () (not (= @t1 tptp.nil))) % 1.01/1.28 (define @t171 () (and @t170 @t136)) % 1.01/1.28 (define @t172 () (not @t21)) % 1.01/1.28 (define @t173 () (or @t169 @t172 @t70 @t171 @t157 @t169 @t156)) % 1.01/1.28 (define @t174 () (or @t172 @t70 @t171 @t157 @t169 @t156)) % 1.01/1.28 (define @t175 () (forall @t7 @t174)) % 1.01/1.28 (define @t176 () (forall @t163 @t175)) % 1.01/1.28 (define @t177 () (forall (@list @t153 @t1) @t174)) % 1.01/1.28 (define @t178 () (@list @t1 @t153)) % 1.01/1.28 (define @t179 () (or @t157 @t169 @t156)) % 1.01/1.28 (define @t180 () (or @t172 @t70 @t171 @t179)) % 1.01/1.28 (define @t181 () (forall @t178 @t180)) % 1.01/1.28 (define @t182 () (forall @t163 @t180)) % 1.01/1.28 (define @t183 () (forall @t163 @t179)) % 1.01/1.28 (define @t184 () (@var "BOUND_VARIABLE_11103" $$unsorted)) % 1.01/1.28 (define @t185 () (@list @t184)) % 1.01/1.28 (define @t186 () (or @t172 @t70 @t171 @t183)) % 1.01/1.28 (define @t187 () (not (= @t123 @t184))) % 1.01/1.28 (define @t188 () (not (forall @t133 (or @t132 @t131 @t130 @t129 @t128 @t124 @t187)))) % 1.01/1.28 (define @t189 () (not (= @t1 (tptp.app @t2 @t184)))) % 1.01/1.28 (define @t190 () (not (tptp.ssList @t184))) % 1.01/1.28 (define @t191 () (or @t190 @t189 @t188)) % 1.01/1.28 (define @t192 () (@list @t184)) % 1.01/1.28 (define @t193 () (forall @t192 @t191)) % 1.01/1.28 (define @t194 () (or @t172 @t70 @t171 @t193)) % 1.01/1.28 (define @t195 () (forall @t7 @t194)) % 1.01/1.28 (define @t196 () (or @t142 @t141 @t195)) % 1.01/1.28 (define @t197 () (or @t142 @t141 @t194)) % 1.01/1.28 (define @t198 () (or @t172 @t70 @t142 @t141 @t171 @t193)) % 1.01/1.28 (define @t199 () (or @t70 @t172 @t142 @t141 @t171 @t193)) % 1.01/1.28 (define @t200 () (or @t142 @t141 @t171 @t193)) % 1.01/1.28 (define @t201 () (or @t142 @t141 @t171 @t191)) % 1.01/1.28 (define @t202 () (or @t142 @t141 @t171 @t190 @t189 @t188)) % 1.01/1.28 (define @t203 () (not (= @t2 @t2))) % 1.01/1.28 (define @t204 () (or @t142 @t203 @t141 @t171 @t190 @t189 @t188)) % 1.01/1.28 (define @t205 () (not (= @t12 @t127))) % 1.01/1.28 (define @t206 () (not (forall @t133 (or @t132 @t131 @t130 @t129 @t205 @t124 @t187)))) % 1.01/1.28 (define @t207 () (not (= @t1 (tptp.app @t12 @t184)))) % 1.01/1.28 (define @t208 () (= @t12 tptp.nil)) % 1.01/1.28 (define @t209 () (and @t170 @t208)) % 1.01/1.28 (define @t210 () (not @t15)) % 1.01/1.28 (define @t211 () (or @t108 @t210 @t108 @t102 @t209 @t190 @t207 @t206)) % 1.01/1.28 (define @t212 () (or @t210 @t108 @t102 @t209 @t190 @t207 @t206)) % 1.01/1.28 (define @t213 () (forall @t16 @t212)) % 1.01/1.28 (define @t214 () (forall @t192 @t213)) % 1.01/1.28 (define @t215 () (forall (@list @t184 @t12) @t212)) % 1.01/1.28 (define @t216 () (@list @t12 @t184)) % 1.01/1.28 (define @t217 () (or @t190 @t207 @t206)) % 1.01/1.28 (define @t218 () (or @t210 @t108 @t102 @t209 @t217)) % 1.01/1.28 (define @t219 () (forall @t216 @t218)) % 1.01/1.28 (define @t220 () (forall @t192 @t218)) % 1.01/1.28 (define @t221 () (forall @t192 @t217)) % 1.01/1.28 (define @t222 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 1.01/1.28 (define @t223 () (@list @t222)) % 1.01/1.28 (define @t224 () (or @t210 @t108 @t102 @t209 @t221)) % 1.01/1.28 (define @t225 () (not (forall @t133 (or @t132 @t131 @t130 @t129 @t205 @t124 (not (= @t123 @t222)))))) % 1.01/1.28 (define @t226 () (tptp.app @t12 @t222)) % 1.01/1.28 (define @t227 () (not (= @t1 @t226))) % 1.01/1.28 (define @t228 () (not (tptp.ssList @t222))) % 1.01/1.28 (define @t229 () (or @t228 @t227 @t225)) % 1.01/1.28 (define @t230 () (@list @t222)) % 1.01/1.28 (define @t231 () (forall @t230 @t229)) % 1.01/1.28 (define @t232 () (or @t210 @t108 @t102 @t209 @t231)) % 1.01/1.28 (define @t233 () (forall @t16 @t232)) % 1.01/1.28 (define @t234 () (or @t70 @t172 @t233)) % 1.01/1.28 (define @t235 () (or @t70 @t172 @t232)) % 1.01/1.28 (define @t236 () (or @t210 @t108 @t70 @t102 @t172 @t209 @t231)) % 1.01/1.28 (define @t237 () (or @t108 @t70 @t102 @t172 @t209 @t231)) % 1.01/1.28 (define @t238 () (or @t172 @t209 @t231)) % 1.01/1.28 (define @t239 () (or @t172 @t209 @t229)) % 1.01/1.28 (define @t240 () (or @t172 @t209 @t228 @t227 @t225)) % 1.01/1.28 (define @t241 () (not (= @t1 @t1))) % 1.01/1.28 (define @t242 () (or @t172 @t241 @t209 @t228 @t227 @t225)) % 1.01/1.28 (define @t243 () (not (= @t10 @t226))) % 1.01/1.28 (define @t244 () (and (not (= @t10 tptp.nil)) @t208)) % 1.01/1.28 (define @t245 () (not @t13)) % 1.01/1.28 (define @t246 () (or @t109 @t245 @t109 @t244 @t228 @t243 @t225)) % 1.01/1.28 (define @t247 () (or @t245 @t109 @t244 @t228 @t243 @t225)) % 1.01/1.28 (define @t248 () (forall @t14 @t247)) % 1.01/1.28 (define @t249 () (forall @t230 @t248)) % 1.01/1.28 (define @t250 () (forall (@list @t222 @t10) @t247)) % 1.01/1.28 (define @t251 () (@list @t10 @t222)) % 1.01/1.28 (define @t252 () (not (= @t222 @t123))) % 1.01/1.28 (define @t253 () (or @t132 @t131 @t130 @t129 @t205 @t124 @t252)) % 1.01/1.28 (define @t254 () (forall @t133 @t253)) % 1.01/1.28 (define @t255 () (not @t254)) % 1.01/1.28 (define @t256 () (or @t245 @t109 @t244 @t228 @t243 @t255)) % 1.01/1.28 (define @t257 () (or @t228 @t243 @t255)) % 1.01/1.28 (define @t258 () (or @t245 @t109 @t244 @t257)) % 1.01/1.28 (define @t259 () (forall @t251 @t258)) % 1.01/1.28 (define @t260 () (forall @t230 @t258)) % 1.01/1.28 (define @t261 () (forall @t230 @t257)) % 1.01/1.28 (define @t262 () (or @t245 @t109 @t244 @t261)) % 1.01/1.28 (define @t263 () (not (= @t38 @t123))) % 1.01/1.28 (define @t264 () (or @t132 @t131 @t130 @t129 @t205 @t124 @t263)) % 1.01/1.28 (define @t265 () (not (forall @t133 @t264))) % 1.01/1.28 (define @t266 () (not (= @t10 @t103))) % 1.01/1.28 (define @t267 () (not @t42)) % 1.01/1.28 (define @t268 () (or @t267 @t266 @t265)) % 1.01/1.28 (define @t269 () (forall @t43 @t268)) % 1.01/1.28 (define @t270 () (or @t245 @t109 @t244 @t269)) % 1.01/1.28 (define @t271 () (forall @t14 @t270)) % 1.01/1.28 (define @t272 () (or @t108 @t70 @t102 @t271)) % 1.01/1.28 (define @t273 () (or @t108 @t70 @t102 @t270)) % 1.01/1.28 (define @t274 () (or @t245 @t109 @t108 @t70 @t244 @t102 @t269)) % 1.01/1.28 (define @t275 () (or @t109 @t108 @t70 @t244 @t102 @t269)) % 1.01/1.28 (define @t276 () (or @t102 @t269)) % 1.01/1.28 (define @t277 () (or @t102 @t268)) % 1.01/1.28 (define @t278 () (or @t267 @t266 @t102 @t265)) % 1.01/1.28 (define @t279 () (or @t266 @t102 @t265)) % 1.01/1.28 (define @t280 () (or @t124 @t263)) % 1.01/1.28 (define @t281 () (or @t131 @t130 @t129 @t205)) % 1.01/1.28 (define @t282 () (or @t132 @t281 @t280)) % 1.01/1.28 (define @t283 () (forall @t133 @t282)) % 1.01/1.28 (define @t284 () (forall (@list @t125 @t126 @t122) @t282)) % 1.01/1.28 (define @t285 () (forall (@list @t122) @t280)) % 1.01/1.28 (define @t286 () (forall (@list @t125 @t126) @t281)) % 1.01/1.28 (define @t287 () (@var "BOUND_VARIABLE_10973" $$unsorted)) % 1.01/1.28 (define @t288 () (or @t132 @t286 @t285)) % 1.01/1.28 (define @t289 () (= @t38 @t94)) % 1.01/1.28 (define @t290 () (not @t289)) % 1.01/1.28 (define @t291 () (not @t95)) % 1.01/1.28 (define @t292 () (or @t291 @t290)) % 1.01/1.28 (define @t293 () (forall @t97 @t292)) % 1.01/1.28 (define @t294 () (not (= @t12 (tptp.app @t287 @t81)))) % 1.01/1.28 (define @t295 () (not (tptp.ssList @t287))) % 1.01/1.28 (define @t296 () (not @t80)) % 1.01/1.28 (define @t297 () (not @t88)) % 1.01/1.28 (define @t298 () (or @t297 @t296 @t295 @t294)) % 1.01/1.28 (define @t299 () (@list @t79 @t287)) % 1.01/1.28 (define @t300 () (forall @t299 @t298)) % 1.01/1.28 (define @t301 () (or @t132 @t300 @t293)) % 1.01/1.28 (define @t302 () (or @t300 @t293)) % 1.01/1.28 (define @t303 () (not @t302)) % 1.01/1.28 (define @t304 () (and @t99 @t303)) % 1.01/1.28 (define @t305 () (forall @t41 (not @t304))) % 1.01/1.28 (define @t306 () (not @t305)) % 1.01/1.28 (define @t307 () (or @t300 @t292)) % 1.01/1.28 (define @t308 () (or @t291 @t290 @t300)) % 1.01/1.28 (define @t309 () (not @t300)) % 1.01/1.28 (define @t310 () (not @t309)) % 1.01/1.28 (define @t311 () (or @t291 @t290 @t310)) % 1.01/1.28 (define @t312 () (and @t95 @t289 @t309)) % 1.01/1.28 (define @t313 () (forall @t97 (not @t312))) % 1.01/1.28 (define @t314 () (not @t313)) % 1.01/1.28 (define @t315 () (or @t295 @t294)) % 1.01/1.28 (define @t316 () (or @t297 @t296 @t315)) % 1.01/1.28 (define @t317 () (forall @t299 @t316)) % 1.01/1.28 (define @t318 () (@list @t287)) % 1.01/1.28 (define @t319 () (forall @t318 @t316)) % 1.01/1.28 (define @t320 () (forall @t318 @t315)) % 1.01/1.28 (define @t321 () (or @t297 @t296 @t320)) % 1.01/1.28 (define @t322 () (= @t12 @t83)) % 1.01/1.28 (define @t323 () (not @t322)) % 1.01/1.28 (define @t324 () (not @t84)) % 1.01/1.28 (define @t325 () (or @t324 @t323)) % 1.01/1.28 (define @t326 () (forall @t86 @t325)) % 1.01/1.28 (define @t327 () (or @t297 @t296 @t326)) % 1.01/1.28 (define @t328 () (or @t296 @t326)) % 1.01/1.28 (define @t329 () (not @t328)) % 1.01/1.28 (define @t330 () (and @t88 @t329)) % 1.01/1.28 (define @t331 () (forall @t90 (not @t330))) % 1.01/1.28 (define @t332 () (not @t331)) % 1.01/1.28 (define @t333 () (or @t296 @t325)) % 1.01/1.28 (define @t334 () (or @t324 @t323 @t296)) % 1.01/1.29 (define @t335 () (and @t84 @t322 @t80)) % 1.01/1.29 (define @t336 () (forall @t86 (not @t335))) % 1.01/1.29 (define @t337 () (not @t336)) % 1.01/1.29 (define @t338 () (@quantifiers_skolemize @t145 1)) % 1.01/1.29 (define @t339 () (not (= @t123 @t338))) % 1.01/1.29 (define @t340 () (tptp.ssList @t338)) % 1.01/1.29 (define @t341 () (not @t340)) % 1.01/1.29 (define @t342 () (tptp.app @t146 @t338)) % 1.01/1.29 (define @t343 () (not (= tptp.nil @t342))) % 1.01/1.29 (define @t344 () (tptp.segmentP @t342 @t146)) % 1.01/1.29 (define @t345 () (tptp.ssList @t342)) % 1.01/1.29 (define @t346 () (not @t345)) % 1.01/1.29 (define @t347 () (not (tptp.strictorderedP @t146))) % 1.01/1.29 (define @t348 () (tptp.ssList @t146)) % 1.01/1.29 (define @t349 () (not @t348)) % 1.01/1.29 (define @t350 () (or @t349 @t347 @t346 @t344 (and @t343 (= tptp.nil @t146)) @t341 (not (forall @t133 (or @t132 @t131 @t130 @t129 (not (= @t127 @t146)) @t124 @t339))))) % 1.01/1.29 (define @t351 () (not @t350)) % 1.01/1.29 (define @t352 () (not @t145)) % 1.01/1.29 (define @t353 () (not (= @t146 @t127))) % 1.01/1.29 (define @t354 () (or @t132 @t131 @t130 @t129 @t353 @t124 @t339)) % 1.01/1.29 (define @t355 () (forall @t133 @t354)) % 1.01/1.29 (define @t356 () (not @t355)) % 1.01/1.29 (define @t357 () (and @t343 (= @t146 tptp.nil))) % 1.01/1.29 (define @t358 () (or @t349 @t347 @t346 @t344 @t357 @t341 @t356)) % 1.01/1.29 (define @t359 () (not @t358)) % 1.01/1.29 (define @t360 () (@list true)) % 1.01/1.29 (define @t361 () (@list @t350)) % 1.01/1.29 (define @t362 () (tptp.app tptp.nil @t146)) % 1.01/1.29 (define @t363 () (= @t146 @t362)) % 1.01/1.29 (define @t364 () (or @t349 @t363)) % 1.01/1.29 (define @t365 () (@list false false)) % 1.01/1.29 (define @t366 () (@list @t348 @t364)) % 1.01/1.29 (define @t367 () (@var "BOUND_VARIABLE_8406" $$unsorted)) % 1.01/1.29 (define @t368 () (@var "BOUND_VARIABLE_8429" $$unsorted)) % 1.01/1.29 (define @t369 () (not (tptp.ssList @t367))) % 1.01/1.29 (define @t370 () (@list @t12 @t367)) % 1.01/1.29 (define @t371 () (= (tptp.segmentP @t2 @t368) (not (forall @t370 (or @t210 @t369 (not (= @t2 (tptp.app (tptp.app @t12 @t368) @t367)))))))) % 1.01/1.29 (define @t372 () (not (tptp.ssList @t368))) % 1.01/1.29 (define @t373 () (or @t372 @t371)) % 1.01/1.29 (define @t374 () (or @t142 @t373)) % 1.01/1.29 (define @t375 () (forall (@list @t2 @t368) @t374)) % 1.01/1.29 (define @t376 () (@list @t368)) % 1.01/1.29 (define @t377 () (forall @t376 @t374)) % 1.01/1.29 (define @t378 () (forall @t376 @t373)) % 1.01/1.29 (define @t379 () (or @t142 @t378)) % 1.01/1.29 (define @t380 () (not (= @t2 (tptp.app @t22 @t367)))) % 1.01/1.29 (define @t381 () (or @t210 @t369 @t380)) % 1.01/1.29 (define @t382 () (= @t29 (not (forall @t370 @t381)))) % 1.01/1.29 (define @t383 () (forall @t7 (or @t172 @t382))) % 1.01/1.29 (define @t384 () (or @t369 @t380)) % 1.01/1.29 (define @t385 () (or @t210 @t384)) % 1.01/1.29 (define @t386 () (forall @t370 @t385)) % 1.01/1.29 (define @t387 () (@list @t367)) % 1.01/1.29 (define @t388 () (forall @t387 @t385)) % 1.01/1.29 (define @t389 () (forall @t387 @t384)) % 1.01/1.29 (define @t390 () (or @t210 @t389)) % 1.01/1.29 (define @t391 () (= @t2 @t24)) % 1.01/1.29 (define @t392 () (forall @t14 (or @t245 (not @t391)))) % 1.01/1.29 (define @t393 () (not @t392)) % 1.01/1.29 (define @t394 () (and @t15 @t393)) % 1.01/1.29 (define @t395 () (forall @t16 (not @t394))) % 1.01/1.29 (define @t396 () (not @t395)) % 1.01/1.29 (define @t397 () (and @t13 @t391)) % 1.01/1.29 (define @t398 () (forall @t14 (not @t397))) % 1.01/1.29 (define @t399 () (not @t398)) % 1.01/1.29 (define @t400 () (forall @t370 (or @t210 @t369 (not (= @t342 (tptp.app (tptp.app @t12 @t146) @t367)))))) % 1.01/1.29 (define @t401 () (not @t400)) % 1.01/1.29 (define @t402 () (= @t344 @t401)) % 1.01/1.29 (define @t403 () (or @t346 @t349 @t402)) % 1.01/1.29 (define @t404 () (@list false false false)) % 1.01/1.29 (define @t405 () (not @t402)) % 1.01/1.29 (define @t406 () (@list true false)) % 1.01/1.29 (define @t407 () (= @t342 (tptp.app @t362 @t338))) % 1.01/1.29 (define @t408 () (not @t407)) % 1.01/1.29 (define @t409 () (not @t49)) % 1.01/1.29 (define @t410 () (or @t409 @t341 @t408)) % 1.01/1.29 (define @t411 () (not @t363)) % 1.01/1.29 (define @t412 () (and @t407 @t408)) % 1.01/1.29 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.01/1.29 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.01/1.29 (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))))))))))) % 1.01/1.29 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.01/1.29 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.01/1.29 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.01/1.29 (assume @p7 @t34) % 1.01/1.29 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not (and @t36 @t35))))))))))))))))) % 1.01/1.29 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t36 @t35)))))))))))))))) % 1.01/1.29 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t45 (tptp.lt @t12 @t1))))))))))))))))) % 1.01/1.29 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t36))))))))))))))) % 1.01/1.29 (assume @p12 (forall @t9 (=> @t17 (= @t46 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t45))))))))))))))) % 1.01/1.29 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not @t47)))))))))))))))) % 1.01/1.29 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t38))) @t2) @t47))))))))))))) % 1.01/1.29 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 1.01/1.29 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t48)))))) % 1.01/1.29 (assume @p17 @t49) % 1.01/1.29 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t48 @t2))))))) % 1.01/1.29 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t50))))))))))) % 1.01/1.29 (assume @p20 (forall @t9 (=> @t17 (or @t52 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t51 @t2))))))))) % 1.01/1.29 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t48))))))) % 1.01/1.29 (assume @p22 (forall @t9 (=> @t17 (=> @t54 (tptp.ssItem @t53))))) % 1.01/1.29 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t48) @t1)))))) % 1.01/1.29 (assume @p24 (forall @t9 (=> @t17 (=> @t54 (tptp.ssList @t55))))) % 1.01/1.29 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t48) @t2)))))) % 1.01/1.29 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t56)))))) % 1.01/1.29 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t57) (tptp.app @t51 @t2))))))))) % 1.01/1.29 (assume @p28 @t60) % 1.01/1.29 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 @t61) @t3)))))) % 1.01/1.29 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t36) (tptp.leq @t2 @t12))))))))) % 1.01/1.29 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.01/1.29 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 @t61)))))) % 1.01/1.29 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (not @t64))))))) % 1.01/1.29 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t45) @t66)))))))) % 1.01/1.29 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 @t64)))))) % 1.01/1.29 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t68))))))))) % 1.01/1.29 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t68))))))))) % 1.01/1.29 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.01/1.29 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.01/1.29 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.01/1.29 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.01/1.29 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 1.01/1.29 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 1.01/1.29 (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)))))))))))) % 1.01/1.29 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.01/1.29 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t52)))) % 1.01/1.29 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.01/1.29 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.01/1.29 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.01/1.29 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t69 @t1))))))))) % 1.01/1.29 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.01/1.29 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t52)))) % 1.01/1.29 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.01/1.29 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t70) @t3)))))) % 1.01/1.29 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 1.01/1.29 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t69 @t10) @t1))))))))))) % 1.01/1.29 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.01/1.29 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t52)))) % 1.01/1.29 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t71)))) % 1.01/1.29 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.01/1.29 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t71)))) % 1.01/1.29 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.01/1.29 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t71)))) % 1.01/1.29 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.01/1.29 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t71)))) % 1.01/1.29 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.01/1.29 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t75) (or @t73 (and @t74 (tptp.totalorderedP @t1) (tptp.leq @t2 @t72))))))))) % 1.01/1.29 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t71)))) % 1.01/1.29 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.01/1.29 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t75) (or @t73 (and @t74 (tptp.strictorderedP @t1) (tptp.lt @t2 @t72))))))))) % 1.01/1.29 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t71)))) % 1.01/1.29 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.01/1.29 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t71)))) % 1.01/1.29 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.01/1.29 (assume @p75 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t6 (= @t53 @t1))))))) % 1.01/1.29 (assume @p76 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t21 (= @t55 @t1))))))) % 1.01/1.29 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t74 @t54 (= @t72 @t53) (= (tptp.tl @t1) @t55)) @t50)))))) % 1.01/1.29 (assume @p78 (forall @t9 (=> @t17 (=> @t54 (= (tptp.cons @t53 @t55) @t2))))) % 1.01/1.29 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t56) @t76)))))))) % 1.01/1.29 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t57) @t76)))))))) % 1.01/1.29 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t48 (tptp.app @t18 @t2))))))) % 1.01/1.29 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t56 @t12) (tptp.app @t2 @t19))))))))) % 1.01/1.29 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t56) (and @t73 @t52))))))) % 1.01/1.29 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.01/1.29 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.hd @t56) @t53))))))) % 1.01/1.29 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.tl @t56) (tptp.app @t55 @t1)))))))) % 1.01/1.29 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t63 (tptp.geq @t1 @t2)) @t3)))))) % 1.01/1.29 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t63 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.01/1.29 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.01/1.29 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.01/1.29 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t45) @t66)))))))) % 1.01/1.29 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (or @t3 @t65))))))) % 1.01/1.29 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 (and @t4 @t62))))))) % 1.01/1.29 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (not (tptp.gt @t1 @t2)))))))) % 1.01/1.29 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t67 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.01/1.29 (assume @p96 @t119) % 1.01/1.29 (assume @p97 true) % 1.01/1.29 (step @p98 :rule bool-impl-elim :args (@t17 @t120)) % 1.01/1.29 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t120)))) % 1.01/1.29 (step @p100 :rule eq-symm :args (@t58 @t2)) % 1.01/1.29 (step @p101 :rule refl :args (@t17)) % 1.01/1.29 (step @p102 :rule cong :premises (@p101 @p100) :args (@t59)) % 1.01/1.29 (step @p103 :rule cong :premises (@p102) :args (@t60)) % 1.01/1.29 (step @p104 :rule trans :premises (@p103 @p99)) % 1.01/1.29 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 1.01/1.29 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t146))) % 1.01/1.29 (step @p107 :rule aci_norm :args ((= @t148 @t143))) % 1.01/1.29 (step @p108 :rule cong :premises (@p107) :args (@t149)) % 1.01/1.29 (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t151) @t149))) % 1.01/1.29 (step @p110 :rule alpha_equiv :args (@t152 (@list @t121) @t154)) % 1.01/1.29 (step @p111 :rule refl :args (@t141)) % 1.01/1.29 (step @p112 :rule refl :args (@t142)) % 1.01/1.29 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t155)) % 1.01/1.29 (step @p114 :rule quant-miniscope-or :args ((= @t151 @t155))) % 1.01/1.29 (step @p115 :rule trans :premises (@p114 @p113)) % 1.01/1.29 (step @p116 :rule symm :premises (@p115)) % 1.01/1.29 (step @p117 :rule cong :premises (@p116) :args ((forall @t9 @t164))) % 1.01/1.29 (step @p118 :rule trans :premises (@p117 @p109)) % 1.01/1.29 (step @p119 :rule trans :premises (@p118 @p108)) % 1.01/1.29 (step @p120 :rule aci_norm :args ((= (or @t142 @t164) @t164))) % 1.01/1.29 (step @p121 :rule bool-impl-elim :args (@t17 @t164)) % 1.01/1.29 (step @p122 :rule trans :premises (@p121 @p120)) % 1.01/1.29 (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (=> @t17 @t164)))) % 1.01/1.29 (step @p124 :rule trans :premises (@p123 @p119)) % 1.01/1.29 (step @p125 :rule aci_norm :args ((= (or @t161 @t160 @t159 @t157 false @t156) @t162))) % 1.01/1.29 (step @p126 :rule refl :args (@t156)) % 1.01/1.29 (step @p127 :rule evaluate :args ((not true))) % 1.01/1.29 (step @p128 :rule eq-refl :args (@t158)) % 1.01/1.29 (step @p129 :rule cong :premises (@p128) :args (@t165)) % 1.01/1.29 (step @p130 :rule trans :premises (@p129 @p127)) % 1.01/1.29 (step @p131 :rule refl :args (@t157)) % 1.01/1.29 (step @p132 :rule refl :args (@t136)) % 1.01/1.29 (step @p133 :rule eq-symm :args (@t158 tptp.nil)) % 1.01/1.29 (step @p134 :rule cong :premises (@p133) :args (@t166)) % 1.01/1.29 (step @p135 :rule nary_cong :premises (@p134 @p132) :args (@t167)) % 1.01/1.29 (step @p136 :rule refl :args (@t160)) % 1.01/1.29 (step @p137 :rule refl :args (@t161)) % 1.01/1.29 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135 @p131 @p130 @p126) :args (@t168)) % 1.01/1.29 (step @p139 :rule trans :premises (@p138 @p125)) % 1.01/1.29 (step @p140 :rule cong :premises (@p139) :args ((forall @t163 @t168))) % 1.01/1.29 (step @p141 :rule quant-var-elim-eq :args ((= (forall @t7 @t173) @t168))) % 1.01/1.29 (step @p142 :rule aci_norm :args ((= @t174 @t173))) % 1.01/1.29 (step @p143 :rule cong :premises (@p142) :args (@t175)) % 1.01/1.29 (step @p144 :rule trans :premises (@p143 @p141)) % 1.01/1.29 (step @p145 :rule cong :premises (@p144) :args (@t176)) % 1.01/1.29 (step @p146 :rule quant-merge-prenex :args ((= @t176 @t177))) % 1.01/1.29 (step @p147 :rule symm :premises (@p146)) % 1.01/1.29 (step @p148 :rule quant_var_reordering :args ((= (forall @t178 @t174) @t177))) % 1.01/1.29 (step @p149 :rule trans :premises (@p148 @p147 @p145)) % 1.01/1.29 (step @p150 :rule trans :premises (@p149 @p140)) % 1.01/1.29 (step @p151 :rule aci_norm :args ((= @t180 @t174))) % 1.01/1.29 (step @p152 :rule cong :premises (@p151) :args (@t181)) % 1.01/1.29 (step @p153 :rule trans :premises (@p152 @p150)) % 1.01/1.29 (step @p154 :rule quant-merge-prenex :args ((= (forall @t7 @t182) @t181))) % 1.01/1.29 (step @p155 :rule alpha_equiv :args (@t183 @t154 @t185)) % 1.01/1.29 (step @p156 :rule refl :args (@t171)) % 1.01/1.29 (step @p157 :rule refl :args (@t70)) % 1.01/1.29 (step @p158 :rule refl :args (@t172)) % 1.01/1.29 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155) :args (@t186)) % 1.01/1.29 (step @p160 :rule quant-miniscope-or :args ((= @t182 @t186))) % 1.01/1.29 (step @p161 :rule trans :premises (@p160 @p159)) % 1.01/1.29 (step @p162 :rule symm :premises (@p161)) % 1.01/1.29 (step @p163 :rule cong :premises (@p162) :args (@t195)) % 1.01/1.29 (step @p164 :rule trans :premises (@p163 @p154)) % 1.01/1.29 (step @p165 :rule trans :premises (@p164 @p153)) % 1.01/1.29 (step @p166 :rule refl :args (@t141)) % 1.01/1.29 (step @p167 :rule refl :args (@t142)) % 1.01/1.29 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165) :args (@t196)) % 1.01/1.29 (step @p169 :rule quant-miniscope-or :args ((= (forall @t7 @t197) @t196))) % 1.01/1.29 (step @p170 :rule aci_norm :args ((= @t198 @t197))) % 1.01/1.29 (step @p171 :rule cong :premises (@p170) :args ((forall @t7 @t198))) % 1.01/1.29 (step @p172 :rule trans :premises (@p171 @p169)) % 1.01/1.29 (step @p173 :rule trans :premises (@p172 @p168)) % 1.01/1.29 (step @p174 :rule aci_norm :args ((= (or @t172 @t199) @t198))) % 1.01/1.29 (step @p175 :rule bool-impl-elim :args (@t21 @t199)) % 1.01/1.29 (step @p176 :rule trans :premises (@p175 @p174)) % 1.01/1.29 (step @p177 :rule cong :premises (@p176) :args ((forall @t7 (=> @t21 @t199)))) % 1.01/1.29 (step @p178 :rule trans :premises (@p177 @p173)) % 1.01/1.29 (step @p179 :rule aci_norm :args ((= (or @t70 @t172 @t200) @t199))) % 1.01/1.29 (step @p180 :rule quant-miniscope-or :args ((= (forall @t192 @t201) @t200))) % 1.01/1.29 (step @p181 :rule aci_norm :args ((= @t202 @t201))) % 1.01/1.29 (step @p182 :rule cong :premises (@p181) :args ((forall @t192 @t202))) % 1.01/1.29 (step @p183 :rule trans :premises (@p182 @p180)) % 1.01/1.29 (step @p184 :rule aci_norm :args ((= (or @t142 false @t141 @t171 @t190 @t189 @t188) @t202))) % 1.01/1.29 (step @p185 :rule refl :args (@t188)) % 1.01/1.29 (step @p186 :rule refl :args (@t189)) % 1.01/1.29 (step @p187 :rule refl :args (@t190)) % 1.01/1.29 (step @p188 :rule refl :args (@t171)) % 1.01/1.29 (step @p189 :rule eq-refl :args (@t2)) % 1.01/1.29 (step @p190 :rule cong :premises (@p189) :args (@t203)) % 1.01/1.29 (step @p191 :rule trans :premises (@p190 @p127)) % 1.01/1.29 (step @p192 :rule nary_cong :premises (@p167 @p191 @p166 @p188 @p187 @p186 @p185) :args (@t204)) % 1.01/1.29 (step @p193 :rule trans :premises (@p192 @p184)) % 1.01/1.29 (step @p194 :rule cong :premises (@p193) :args ((forall @t192 @t204))) % 1.01/1.29 (step @p195 :rule trans :premises (@p194 @p183)) % 1.01/1.29 (step @p196 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t76) @t210 @t108 @t102 @t209 @t190 @t207 @t206)) @t204))) % 1.01/1.29 (step @p197 :rule refl :args (@t206)) % 1.01/1.29 (step @p198 :rule refl :args (@t207)) % 1.01/1.29 (step @p199 :rule refl :args (@t190)) % 1.01/1.29 (step @p200 :rule refl :args (@t209)) % 1.01/1.29 (step @p201 :rule refl :args (@t102)) % 1.01/1.29 (step @p202 :rule refl :args (@t108)) % 1.01/1.29 (step @p203 :rule refl :args (@t210)) % 1.01/1.29 (step @p204 :rule eq-symm :args (@t2 @t12)) % 1.01/1.29 (step @p205 :rule cong :premises (@p204) :args (@t108)) % 1.01/1.29 (step @p206 :rule nary_cong :premises (@p205 @p203 @p202 @p201 @p200 @p199 @p198 @p197) :args (@t211)) % 1.01/1.29 (step @p207 :rule aci_norm :args ((= @t212 @t211))) % 1.01/1.29 (step @p208 :rule trans :premises (@p207 @p206)) % 1.01/1.29 (step @p209 :rule cong :premises (@p208) :args (@t213)) % 1.01/1.29 (step @p210 :rule trans :premises (@p209 @p196)) % 1.01/1.29 (step @p211 :rule cong :premises (@p210) :args (@t214)) % 1.01/1.29 (step @p212 :rule quant-merge-prenex :args ((= @t214 @t215))) % 1.01/1.29 (step @p213 :rule symm :premises (@p212)) % 1.01/1.29 (step @p214 :rule quant_var_reordering :args ((= (forall @t216 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cong :premises (@p547) :args (@t26)) % 1.01/1.29 (step @p549 :rule trans :premises (@p548 @p545)) % 1.01/1.29 (step @p550 :rule nary_cong :premises (@p453 @p549) :args (@t27)) % 1.01/1.29 (step @p551 :rule cong :premises (@p550) :args (@t28)) % 1.01/1.29 (step @p552 :rule trans :premises (@p551 @p540)) % 1.01/1.29 (step @p553 :rule refl :args (@t29)) % 1.01/1.29 (step @p554 :rule cong :premises (@p553 @p552) :args (@t30)) % 1.01/1.29 (step @p555 :rule cong :premises (@p457 @p554) :args (@t31)) % 1.01/1.29 (step @p556 :rule cong :premises (@p555) :args (@t32)) % 1.01/1.29 (step @p557 :rule trans :premises (@p556 @p520)) % 1.01/1.29 (step @p558 :rule cong :premises (@p101 @p557) :args (@t33)) % 1.01/1.29 (step @p559 :rule cong :premises (@p558) :args (@t34)) % 1.01/1.29 (step @p560 :rule trans :premises (@p559 @p518)) % 1.01/1.29 (step @p561 :rule eq_resolve :premises (@p7 @p560)) % 1.01/1.29 (step @p562 :rule instantiate :premises (@p561) :args ((@list @t342 @t146))) % 1.01/1.29 (step 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:rule refl :args (@t405)) % 1.01/1.29 (step @p576 :rule nary_cong :premises (@p575 @p479 @p574) :args ((or @t405 @t344 (not @t401)))) % 1.01/1.29 (step @p577 :rule cnf_equiv_pos2 :args (@t402)) % 1.01/1.29 (step @p578 :rule eq_resolve :premises (@p577 @p576)) % 1.01/1.29 (step @p579 :rule reordering :premises (@p578) :args ((or @t344 @t400 @t405))) % 1.01/1.29 (step @p580 :rule chain_m_resolution :premises (@p579 @p573 @p571) :args (@t400 @t406 (@list @t344 @t402))) % 1.01/1.29 (step @p581 :rule instantiate :premises (@p580) :args ((@list tptp.nil @t338))) % 1.01/1.29 (step @p582 :rule bool-double-not-elim :args (@t340)) % 1.01/1.29 (step @p583 :rule nary_cong :premises (@p496 @p582) :args ((or @t350 (not @t341)))) % 1.01/1.29 (step @p584 :rule cnf_or_neg :args (@t350 5)) % 1.01/1.29 (step @p585 :rule eq_resolve :premises (@p584 @p583)) % 1.01/1.29 (step @p586 :rule reordering :premises (@p585) :args ((or @t340 @t350))) % 1.01/1.29 (step @p587 :rule chain_m_resolution :premises (@p586 @p494) :args (@t340 @t360 @t361)) % 1.01/1.29 (step @p588 :rule cnf_or_pos :args (@t410)) % 1.01/1.29 (step @p589 :rule reordering :premises (@p588) :args ((or @t409 @t341 @t408 (not @t410)))) % 1.01/1.29 (step @p590 :rule chain_m_resolution :premises (@p589 @p17 @p587 @p581) :args (@t408 @t404 (@list @t49 @t340 @t410))) % 1.01/1.29 (step @p591 :rule bool-double-not-elim :args (@t407)) % 1.01/1.29 (step @p592 :rule refl :args (@t411)) % 1.01/1.29 (step @p593 :rule nary_cong :premises (@p592 @p591) :args ((or @t411 (not @t408)))) % 1.01/1.29 (assume-push @p622 @t407) % 1.01/1.29 (assume-push @p623 @t408) % 1.01/1.29 (step @p596 :rule evaluate :args ((= true false))) % 1.01/1.29 (step @p597 :rule false_intro :premises (@p590)) % 1.01/1.29 (step @p598 :rule refl :args (@t338)) % 1.01/1.29 (step @p599 :rule chain_m_resolution :premises (@p503 @p501 @p106) :args (@t363 @t365 @t366)) % 1.01/1.29 (step @p600 :rule cong :premises (@p599 @p598) :args (@t342)) % 1.01/1.29 (step @p601 :rule true_intro :premises (@p600)) % 1.01/1.29 (step @p602 :rule symm :premises (@p601)) % 1.01/1.29 (step @p603 :rule trans :premises (@p602 @p597)) % 1.01/1.29 (step @p604 false :rule eq_resolve :premises (@p603 @p596)) % 1.01/1.29 (step-pop @p624 :rule scope :premises (@p604)) % 1.01/1.29 (step-pop @p625 :rule scope :premises (@p624)) % 1.01/1.29 (step @p605 :rule process_scope :premises (@p625) :args (false)) % 1.01/1.29 (assume-push @p626 @t363) % 1.01/1.29 (assume-push @p627 @t408) % 1.01/1.29 (step @p598 :rule refl :args (@t338)) % 1.01/1.29 (step @p610 :rule cong :premises (@p504 @p598) :args (@t342)) % 1.01/1.29 (step @p611 :rule and_intro :premises (@p610 @p590)) % 1.01/1.29 (step-pop @p628 :rule scope :premises (@p611)) % 1.01/1.29 (step-pop @p629 :rule scope :premises (@p628)) % 1.01/1.29 (step @p612 :rule process_scope :premises (@p629) :args (@t412)) % 1.01/1.29 (step @p615 :rule implies_elim :premises (@p612)) % 1.01/1.29 (step @p616 :rule resolution :premises (@p615 @p605) :args (true @t412)) % 1.01/1.29 (step @p617 :rule not_and :premises (@p616)) % 1.01/1.29 (step @p618 :rule eq_resolve :premises (@p617 @p593)) % 1.01/1.29 (step @p619 false :rule chain_m_resolution :premises (@p618 @p590 @p504) :args (false @t406 (@list @t407 @t363))) % 1.01/1.29 ) % 1.01/1.29 % SZS output end Proof % 1.01/1.29 % cvc5 exiting %------------------------------------------------------------------------------