%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC187+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:58:23 AM UTC 2026 % Result : Theorem 10.01s 10.25s % Output : Proof 10.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC187+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:22:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 10.01/10.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 10.01/10.25 % SZS status Theorem % 10.01/10.25 % SZS output start Proof % 10.01/10.25 ( % 10.01/10.25 (declare-sort $$unsorted 0) % 10.01/10.25 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 10.01/10.25 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 10.01/10.25 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 10.01/10.25 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 10.01/10.25 (declare-const tptp.nil $$unsorted) % 10.01/10.25 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.ssList (-> $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 10.01/10.25 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 10.01/10.25 (define @t1 () (@var "V" $$unsorted)) % 10.01/10.25 (define @t2 () (@var "U" $$unsorted)) % 10.01/10.25 (define @t3 () (= @t2 @t1)) % 10.01/10.25 (define @t4 () (not @t3)) % 10.01/10.25 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 10.01/10.25 (define @t6 () (tptp.ssItem @t1)) % 10.01/10.25 (define @t7 () (@list @t1)) % 10.01/10.25 (define @t8 () (tptp.ssItem @t2)) % 10.01/10.25 (define @t9 () (@list @t2)) % 10.01/10.25 (define @t10 () (@var "X" $$unsorted)) % 10.01/10.25 (define @t11 () (tptp.cons @t1 @t10)) % 10.01/10.25 (define @t12 () (@var "W" $$unsorted)) % 10.01/10.25 (define @t13 () (tptp.ssList @t10)) % 10.01/10.25 (define @t14 () (@list @t10)) % 10.01/10.25 (define @t15 () (tptp.ssList @t12)) % 10.01/10.25 (define @t16 () (@list @t12)) % 10.01/10.25 (define @t17 () (tptp.ssList @t2)) % 10.01/10.25 (define @t18 () (tptp.cons @t1 tptp.nil)) % 10.01/10.25 (define @t19 () (tptp.app @t1 @t12)) % 10.01/10.25 (define @t20 () (tptp.frontsegP @t2 @t1)) % 10.01/10.25 (define @t21 () (tptp.ssList @t1)) % 10.01/10.25 (define @t22 () (tptp.app @t12 @t1)) % 10.01/10.25 (define @t23 () (tptp.rearsegP @t2 @t1)) % 10.01/10.25 (define @t24 () (tptp.segmentP @t2 @t1)) % 10.01/10.25 (define @t25 () (tptp.leq @t12 @t1)) % 10.01/10.25 (define @t26 () (tptp.leq @t1 @t12)) % 10.01/10.25 (define @t27 () (@var "Z" $$unsorted)) % 10.01/10.25 (define @t28 () (@var "Y" $$unsorted)) % 10.01/10.25 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 10.01/10.25 (define @t30 () (tptp.ssList @t27)) % 10.01/10.25 (define @t31 () (@list @t27)) % 10.01/10.25 (define @t32 () (tptp.ssList @t28)) % 10.01/10.25 (define @t33 () (@list @t28)) % 10.01/10.25 (define @t34 () (tptp.ssItem @t12)) % 10.01/10.25 (define @t35 () (tptp.lt @t1 @t12)) % 10.01/10.25 (define @t36 () (= @t1 @t12)) % 10.01/10.25 (define @t37 () (tptp.cons @t1 @t2)) % 10.01/10.25 (define @t38 () (tptp.ssList @t37)) % 10.01/10.25 (define @t39 () (forall @t7 (=> @t6 @t38))) % 10.01/10.25 (define @t40 () (=> @t17 @t39)) % 10.01/10.25 (define @t41 () (forall @t9 @t40)) % 10.01/10.25 (define @t42 () (tptp.ssList tptp.nil)) % 10.01/10.25 (define @t43 () (not (= @t37 @t2))) % 10.01/10.25 (define @t44 () (=> @t6 @t43)) % 10.01/10.25 (define @t45 () (forall @t7 @t44)) % 10.01/10.25 (define @t46 () (=> @t17 @t45)) % 10.01/10.25 (define @t47 () (forall @t9 @t46)) % 10.01/10.25 (define @t48 () (= @t1 @t2)) % 10.01/10.25 (define @t49 () (tptp.cons @t12 @t1)) % 10.01/10.25 (define @t50 () (and @t34 (= @t49 @t2))) % 10.01/10.25 (define @t51 () (exists @t16 @t50)) % 10.01/10.25 (define @t52 () (and @t21 @t51)) % 10.01/10.25 (define @t53 () (exists @t7 @t52)) % 10.01/10.25 (define @t54 () (= tptp.nil @t2)) % 10.01/10.25 (define @t55 () (or @t54 @t53)) % 10.01/10.25 (define @t56 () (=> @t17 @t55)) % 10.01/10.25 (define @t57 () (forall @t9 @t56)) % 10.01/10.25 (define @t58 () (tptp.hd @t2)) % 10.01/10.25 (define @t59 () (not @t54)) % 10.01/10.25 (define @t60 () (tptp.tl @t2)) % 10.01/10.25 (define @t61 () (tptp.ssList @t60)) % 10.01/10.25 (define @t62 () (=> @t59 @t61)) % 10.01/10.25 (define @t63 () (=> @t17 @t62)) % 10.01/10.25 (define @t64 () (forall @t9 @t63)) % 10.01/10.25 (define @t65 () (tptp.tl @t37)) % 10.01/10.25 (define @t66 () (=> @t6 (= @t65 @t2))) % 10.01/10.25 (define @t67 () (forall @t7 @t66)) % 10.01/10.25 (define @t68 () (=> @t17 @t67)) % 10.01/10.25 (define @t69 () (forall @t9 @t68)) % 10.01/10.25 (define @t70 () (tptp.app @t2 @t1)) % 10.01/10.25 (define @t71 () (tptp.ssList @t70)) % 10.01/10.25 (define @t72 () (forall @t7 (=> @t21 @t71))) % 10.01/10.25 (define @t73 () (=> @t17 @t72)) % 10.01/10.25 (define @t74 () (forall @t9 @t73)) % 10.01/10.25 (define @t75 () (tptp.app @t1 @t2)) % 10.01/10.25 (define @t76 () (tptp.leq @t1 @t2)) % 10.01/10.25 (define @t77 () (tptp.leq @t2 @t1)) % 10.01/10.25 (define @t78 () (tptp.geq @t2 @t1)) % 10.01/10.25 (define @t79 () (tptp.lt @t1 @t2)) % 10.01/10.25 (define @t80 () (tptp.lt @t2 @t1)) % 10.01/10.25 (define @t81 () (tptp.lt @t2 @t12)) % 10.01/10.25 (define @t82 () (tptp.gt @t2 @t1)) % 10.01/10.25 (define @t83 () (tptp.memberP @t12 @t2)) % 10.01/10.25 (define @t84 () (not (tptp.memberP tptp.nil @t2))) % 10.01/10.25 (define @t85 () (forall @t9 (=> @t8 @t84))) % 10.01/10.25 (define @t86 () (tptp.app @t12 @t2)) % 10.01/10.25 (define @t87 () (tptp.cons @t2 tptp.nil)) % 10.01/10.25 (define @t88 () (tptp.hd @t1)) % 10.01/10.25 (define @t89 () (= tptp.nil @t1)) % 10.01/10.25 (define @t90 () (not @t89)) % 10.01/10.25 (define @t91 () (tptp.cons @t2 @t1)) % 10.01/10.25 (define @t92 () (= @t12 @t2)) % 10.01/10.25 (define @t93 () (= @t37 (tptp.app @t18 @t2))) % 10.01/10.25 (define @t94 () (forall @t7 (=> @t6 @t93))) % 10.01/10.25 (define @t95 () (=> @t17 @t94)) % 10.01/10.25 (define @t96 () (forall @t9 @t95)) % 10.01/10.25 (define @t97 () (= (tptp.app @t70 @t12) (tptp.app @t2 @t19))) % 10.01/10.25 (define @t98 () (forall @t16 (=> @t15 @t97))) % 10.01/10.25 (define @t99 () (=> @t21 @t98)) % 10.01/10.25 (define @t100 () (forall @t7 @t99)) % 10.01/10.25 (define @t101 () (=> @t17 @t100)) % 10.01/10.25 (define @t102 () (forall @t9 @t101)) % 10.01/10.25 (define @t103 () (and @t89 @t54)) % 10.01/10.25 (define @t104 () (= tptp.nil @t70)) % 10.01/10.25 (define @t105 () (= @t104 @t103)) % 10.01/10.25 (define @t106 () (=> @t21 @t105)) % 10.01/10.25 (define @t107 () (forall @t7 @t106)) % 10.01/10.25 (define @t108 () (=> @t17 @t107)) % 10.01/10.25 (define @t109 () (forall @t9 @t108)) % 10.01/10.25 (define @t110 () (= (tptp.tl @t70) (tptp.app @t60 @t1))) % 10.01/10.25 (define @t111 () (=> @t59 @t110)) % 10.01/10.25 (define @t112 () (=> @t21 @t111)) % 10.01/10.25 (define @t113 () (forall @t7 @t112)) % 10.01/10.25 (define @t114 () (=> @t17 @t113)) % 10.01/10.25 (define @t115 () (forall @t9 @t114)) % 10.01/10.25 (define @t116 () (not (= tptp.nil @t12))) % 10.01/10.25 (define @t117 () (not (= tptp.nil @t10))) % 10.01/10.25 (define @t118 () (or @t117 @t116)) % 10.01/10.25 (define @t119 () (@var "X2" $$unsorted)) % 10.01/10.25 (define @t120 () (not (tptp.memberP @t10 @t119))) % 10.01/10.25 (define @t121 () (tptp.cons @t119 tptp.nil)) % 10.01/10.25 (define @t122 () (not (= @t121 @t12))) % 10.01/10.25 (define @t123 () (or @t122 @t120)) % 10.01/10.25 (define @t124 () (tptp.ssItem @t119)) % 10.01/10.25 (define @t125 () (=> @t124 @t123)) % 10.01/10.25 (define @t126 () (@list @t119)) % 10.01/10.25 (define @t127 () (forall @t126 @t125)) % 10.01/10.25 (define @t128 () (and @t127 @t118)) % 10.01/10.25 (define @t129 () (@var "X1" $$unsorted)) % 10.01/10.25 (define @t130 () (not (tptp.memberP @t27 @t28))) % 10.01/10.25 (define @t131 () (and @t130 (not (tptp.memberP @t129 @t28)))) % 10.01/10.25 (define @t132 () (tptp.cons @t28 tptp.nil)) % 10.01/10.25 (define @t133 () (tptp.app @t27 @t132)) % 10.01/10.25 (define @t134 () (tptp.app @t133 @t129)) % 10.01/10.25 (define @t135 () (not (= @t134 @t2))) % 10.01/10.25 (define @t136 () (or @t135 @t131)) % 10.01/10.25 (define @t137 () (tptp.ssList @t129)) % 10.01/10.25 (define @t138 () (=> @t137 @t136)) % 10.01/10.25 (define @t139 () (@list @t129)) % 10.01/10.25 (define @t140 () (forall @t139 @t138)) % 10.01/10.25 (define @t141 () (=> @t30 @t140)) % 10.01/10.25 (define @t142 () (forall @t31 @t141)) % 10.01/10.25 (define @t143 () (tptp.ssItem @t28)) % 10.01/10.25 (define @t144 () (=> @t143 @t142)) % 10.01/10.25 (define @t145 () (forall @t33 @t144)) % 10.01/10.25 (define @t146 () (not (= @t2 @t12))) % 10.01/10.25 (define @t147 () (not (= @t1 @t10))) % 10.01/10.25 (define @t148 () (or @t147 @t146 @t145 @t128)) % 10.01/10.25 (define @t149 () (=> @t13 @t148)) % 10.01/10.25 (define @t150 () (forall @t14 @t149)) % 10.01/10.25 (define @t151 () (=> @t15 @t150)) % 10.01/10.25 (define @t152 () (forall @t16 @t151)) % 10.01/10.25 (define @t153 () (=> @t21 @t152)) % 10.01/10.25 (define @t154 () (forall @t7 @t153)) % 10.01/10.25 (define @t155 () (=> @t17 @t154)) % 10.01/10.25 (define @t156 () (forall @t9 @t155)) % 10.01/10.25 (define @t157 () (not @t156)) % 10.01/10.25 (define @t158 () (@var "BOUND_VARIABLE_11155" $$unsorted)) % 10.01/10.25 (define @t159 () (@var "BOUND_VARIABLE_11151" $$unsorted)) % 10.01/10.25 (define @t160 () (@var "BOUND_VARIABLE_11153" $$unsorted)) % 10.01/10.25 (define @t161 () (tptp.app (tptp.app @t160 (tptp.cons @t159 tptp.nil)) @t158)) % 10.01/10.25 (define @t162 () (@var "BOUND_VARIABLE_11174" $$unsorted)) % 10.01/10.25 (define @t163 () (not (= tptp.nil @t162))) % 10.01/10.25 (define @t164 () (@var "BOUND_VARIABLE_11176" $$unsorted)) % 10.01/10.25 (define @t165 () (not (tptp.memberP @t162 @t164))) % 10.01/10.25 (define @t166 () (tptp.cons @t164 tptp.nil)) % 10.01/10.25 (define @t167 () (not (tptp.ssItem @t164))) % 10.01/10.25 (define @t168 () (or @t167 (not (= @t161 @t166)) @t165)) % 10.01/10.25 (define @t169 () (and @t168 (or @t163 (not (= tptp.nil @t161))))) % 10.01/10.25 (define @t170 () (not (tptp.ssList @t162))) % 10.01/10.25 (define @t171 () (and (not (tptp.memberP @t160 @t159)) (not (tptp.memberP @t158 @t159)))) % 10.01/10.25 (define @t172 () (not (tptp.ssList @t158))) % 10.01/10.25 (define @t173 () (not (tptp.ssList @t160))) % 10.01/10.25 (define @t174 () (not (tptp.ssItem @t159))) % 10.01/10.25 (define @t175 () (not (tptp.ssList @t161))) % 10.01/10.25 (define @t176 () (or @t175 @t174 @t173 @t172 @t171 @t170 @t169)) % 10.01/10.25 (define @t177 () (@list @t159 @t160 @t158 @t162 @t164)) % 10.01/10.25 (define @t178 () (forall @t177 @t176)) % 10.01/10.25 (define @t179 () (@quantifiers_skolemize @t178 0)) % 10.01/10.25 (define @t180 () (not (= @t161 tptp.nil))) % 10.01/10.25 (define @t181 () (or @t163 @t180)) % 10.01/10.25 (define @t182 () (and @t168 @t181)) % 10.01/10.25 (define @t183 () (not (= @t161 @t161))) % 10.01/10.25 (define @t184 () (or @t175 @t174 @t173 @t172 @t183 @t171 @t170 @t182)) % 10.01/10.25 (define @t185 () (= @t2 tptp.nil)) % 10.01/10.25 (define @t186 () (not @t185)) % 10.01/10.25 (define @t187 () (or @t167 (not (= @t2 @t166)) @t165)) % 10.01/10.25 (define @t188 () (and @t187 (or @t163 @t186))) % 10.01/10.25 (define @t189 () (not (= @t2 @t161))) % 10.01/10.25 (define @t190 () (not @t17)) % 10.01/10.25 (define @t191 () (or @t189 @t190 @t174 @t173 @t172 @t189 @t171 @t170 @t188)) % 10.01/10.25 (define @t192 () (or @t190 @t174 @t173 @t172 @t189 @t171 @t170 @t188)) % 10.01/10.25 (define @t193 () (forall @t9 @t192)) % 10.01/10.25 (define @t194 () (forall @t177 @t193)) % 10.01/10.25 (define @t195 () (forall (@list @t159 @t160 @t158 @t162 @t164 @t2) @t192)) % 10.01/10.25 (define @t196 () (@list @t2 @t159 @t160 @t158 @t162 @t164)) % 10.01/10.25 (define @t197 () (not (= @t162 tptp.nil))) % 10.01/10.25 (define @t198 () (or @t197 @t186)) % 10.01/10.25 (define @t199 () (and @t187 @t198)) % 10.01/10.25 (define @t200 () (or @t190 @t174 @t173 @t172 @t189 @t171 @t170 @t199)) % 10.01/10.25 (define @t201 () (or @t170 @t199)) % 10.01/10.25 (define @t202 () (or @t174 @t173 @t172 @t189 @t171)) % 10.01/10.25 (define @t203 () (or @t190 @t202 @t201)) % 10.01/10.25 (define @t204 () (forall @t196 @t203)) % 10.01/10.25 (define @t205 () (forall @t177 @t203)) % 10.01/10.25 (define @t206 () (forall (@list @t162 @t164) @t201)) % 10.01/10.25 (define @t207 () (@var "BOUND_VARIABLE_11132" $$unsorted)) % 10.01/10.25 (define @t208 () (forall (@list @t159 @t160 @t158) @t202)) % 10.01/10.25 (define @t209 () (@var "BOUND_VARIABLE_10983" $$unsorted)) % 10.01/10.25 (define @t210 () (@var "BOUND_VARIABLE_10981" $$unsorted)) % 10.01/10.25 (define @t211 () (or @t190 @t208 @t206)) % 10.01/10.25 (define @t212 () (= @t1 tptp.nil)) % 10.01/10.25 (define @t213 () (not @t212)) % 10.01/10.25 (define @t214 () (or @t213 @t186)) % 10.01/10.25 (define @t215 () (or (not (tptp.ssItem @t207)) (not (= @t2 (tptp.cons @t207 tptp.nil))) (not (tptp.memberP @t1 @t207)))) % 10.01/10.25 (define @t216 () (and @t215 @t214)) % 10.01/10.25 (define @t217 () (not @t21)) % 10.01/10.25 (define @t218 () (or @t217 @t216)) % 10.01/10.25 (define @t219 () (forall (@list @t1 @t207) @t218)) % 10.01/10.25 (define @t220 () (and (not (tptp.memberP @t210 @t28)) (not (tptp.memberP @t209 @t28)))) % 10.01/10.25 (define @t221 () (not (= @t2 (tptp.app (tptp.app @t210 @t132) @t209)))) % 10.01/10.25 (define @t222 () (not (tptp.ssList @t209))) % 10.01/10.25 (define @t223 () (not (tptp.ssList @t210))) % 10.01/10.25 (define @t224 () (not @t143)) % 10.01/10.25 (define @t225 () (or @t224 @t223 @t222 @t221 @t220)) % 10.01/10.25 (define @t226 () (@list @t28 @t210 @t209)) % 10.01/10.25 (define @t227 () (forall @t226 @t225)) % 10.01/10.25 (define @t228 () (or @t190 @t227 @t219)) % 10.01/10.25 (define @t229 () (or @t227 @t190 @t219)) % 10.01/10.25 (define @t230 () (@list @t207)) % 10.01/10.25 (define @t231 () (forall @t230 @t218)) % 10.01/10.25 (define @t232 () (forall @t230 @t214)) % 10.01/10.25 (define @t233 () (forall @t230 @t215)) % 10.01/10.25 (define @t234 () (@var "BOUND_VARIABLE_11107" $$unsorted)) % 10.01/10.25 (define @t235 () (@list @t234)) % 10.01/10.25 (define @t236 () (and @t233 @t232)) % 10.01/10.25 (define @t237 () (forall @t230 @t216)) % 10.01/10.25 (define @t238 () (or @t217 @t237)) % 10.01/10.25 (define @t239 () (and (forall (@list @t234) (or (not (tptp.ssItem @t234)) (not (= @t2 (tptp.cons @t234 tptp.nil))) (not (tptp.memberP @t1 @t234)))) @t214)) % 10.01/10.25 (define @t240 () (or @t217 @t239)) % 10.01/10.25 (define @t241 () (forall @t7 @t240)) % 10.01/10.25 (define @t242 () (or @t227 @t190 @t241)) % 10.01/10.25 (define @t243 () (or @t227 @t190 @t240)) % 10.01/10.25 (define @t244 () (or @t217 @t227 @t190 @t239)) % 10.01/10.25 (define @t245 () (or @t227 @t217 @t190 @t239)) % 10.01/10.25 (define @t246 () (@var "BOUND_VARIABLE_11078" $$unsorted)) % 10.01/10.25 (define @t247 () (@list @t246)) % 10.01/10.25 (define @t248 () (forall @t247 @t214)) % 10.01/10.25 (define @t249 () (not (tptp.memberP @t1 @t246))) % 10.01/10.25 (define @t250 () (tptp.cons @t246 tptp.nil)) % 10.01/10.25 (define @t251 () (not (tptp.ssItem @t246))) % 10.01/10.25 (define @t252 () (or @t251 (not (= @t2 @t250)) @t249)) % 10.01/10.25 (define @t253 () (forall @t247 @t252)) % 10.01/10.25 (define @t254 () (@list @t246)) % 10.01/10.25 (define @t255 () (and @t253 @t248)) % 10.01/10.25 (define @t256 () (and @t252 @t214)) % 10.01/10.25 (define @t257 () (forall @t247 @t256)) % 10.01/10.25 (define @t258 () (or @t190 @t257)) % 10.01/10.25 (define @t259 () (or @t190 @t256)) % 10.01/10.25 (define @t260 () (not (= @t2 @t2))) % 10.01/10.25 (define @t261 () (or @t190 @t260 @t256)) % 10.01/10.25 (define @t262 () (not (= @t12 tptp.nil))) % 10.01/10.25 (define @t263 () (or @t213 @t262)) % 10.01/10.25 (define @t264 () (or @t251 (not (= @t12 @t250)) @t249)) % 10.01/10.25 (define @t265 () (and @t264 @t263)) % 10.01/10.25 (define @t266 () (not @t15)) % 10.01/10.25 (define @t267 () (or @t146 @t266 @t146 @t265)) % 10.01/10.25 (define @t268 () (or @t266 @t146 @t265)) % 10.01/10.25 (define @t269 () (forall @t16 @t268)) % 10.01/10.25 (define @t270 () (forall @t247 @t269)) % 10.01/10.25 (define @t271 () (forall (@list @t246 @t12) @t268)) % 10.01/10.25 (define @t272 () (forall (@list @t12 @t246) @t268)) % 10.01/10.25 (define @t273 () (forall @t247 @t268)) % 10.01/10.25 (define @t274 () (forall @t247 @t263)) % 10.01/10.25 (define @t275 () (forall @t247 @t264)) % 10.01/10.25 (define @t276 () (@var "BOUND_VARIABLE_11053" $$unsorted)) % 10.01/10.25 (define @t277 () (@list @t276)) % 10.01/10.25 (define @t278 () (and @t275 @t274)) % 10.01/10.25 (define @t279 () (forall @t247 @t265)) % 10.01/10.25 (define @t280 () (or @t266 @t146 @t279)) % 10.01/10.25 (define @t281 () (and (forall (@list @t276) (or (not (tptp.ssItem @t276)) (not (= @t12 (tptp.cons @t276 tptp.nil))) (not (tptp.memberP @t1 @t276)))) @t263)) % 10.01/10.25 (define @t282 () (or @t266 @t146 @t281)) % 10.01/10.25 (define @t283 () (forall @t16 @t282)) % 10.01/10.25 (define @t284 () (or @t227 @t217 @t283)) % 10.01/10.25 (define @t285 () (or @t227 @t217 @t282)) % 10.01/10.25 (define @t286 () (or @t266 @t146 @t227 @t217 @t281)) % 10.01/10.25 (define @t287 () (or @t146 @t227 @t217 @t281)) % 10.01/10.25 (define @t288 () (@var "BOUND_VARIABLE_11026" $$unsorted)) % 10.01/10.25 (define @t289 () (@list @t288)) % 10.01/10.25 (define @t290 () (forall @t289 @t263)) % 10.01/10.25 (define @t291 () (not (= @t12 (tptp.cons @t288 tptp.nil)))) % 10.01/10.25 (define @t292 () (not (tptp.ssItem @t288))) % 10.01/10.25 (define @t293 () (or @t292 @t291 (not (tptp.memberP @t1 @t288)))) % 10.01/10.25 (define @t294 () (forall @t289 @t293)) % 10.01/10.25 (define @t295 () (@list @t288)) % 10.01/10.25 (define @t296 () (and @t294 @t290)) % 10.01/10.25 (define @t297 () (and @t293 @t263)) % 10.01/10.25 (define @t298 () (forall @t289 @t297)) % 10.01/10.25 (define @t299 () (or @t217 @t298)) % 10.01/10.25 (define @t300 () (or @t217 @t297)) % 10.01/10.25 (define @t301 () (not (= @t1 @t1))) % 10.01/10.25 (define @t302 () (or @t217 @t301 @t297)) % 10.01/10.25 (define @t303 () (or (not (= @t10 tptp.nil)) @t262)) % 10.01/10.25 (define @t304 () (or @t292 @t291 (not (tptp.memberP @t10 @t288)))) % 10.01/10.25 (define @t305 () (and @t304 @t303)) % 10.01/10.25 (define @t306 () (not @t13)) % 10.01/10.25 (define @t307 () (or @t147 @t306 @t147 @t305)) % 10.01/10.25 (define @t308 () (or @t306 @t147 @t305)) % 10.01/10.25 (define @t309 () (forall @t14 @t308)) % 10.01/10.25 (define @t310 () (forall @t289 @t309)) % 10.01/10.25 (define @t311 () (forall (@list @t288 @t10) @t308)) % 10.01/10.25 (define @t312 () (forall (@list @t10 @t288) @t308)) % 10.01/10.25 (define @t313 () (forall @t289 @t308)) % 10.01/10.25 (define @t314 () (forall @t289 @t303)) % 10.01/10.25 (define @t315 () (forall @t289 @t304)) % 10.01/10.25 (define @t316 () (and @t315 @t314)) % 10.01/10.25 (define @t317 () (forall @t289 @t305)) % 10.01/10.25 (define @t318 () (or @t306 @t147 @t317)) % 10.01/10.25 (define @t319 () (not (= @t12 @t121))) % 10.01/10.25 (define @t320 () (not @t124)) % 10.01/10.25 (define @t321 () (or @t320 @t319 @t120)) % 10.01/10.25 (define @t322 () (and (forall @t126 @t321) @t303)) % 10.01/10.25 (define @t323 () (or @t306 @t147 @t322)) % 10.01/10.25 (define @t324 () (forall @t14 @t323)) % 10.01/10.25 (define @t325 () (or @t146 @t227 @t324)) % 10.01/10.25 (define @t326 () (or @t146 @t227 @t323)) % 10.01/10.25 (define @t327 () (or @t306 @t147 @t146 @t227 @t322)) % 10.01/10.25 (define @t328 () (or @t147 @t146 @t227 @t322)) % 10.01/10.25 (define @t329 () (or @t319 @t120)) % 10.01/10.25 (define @t330 () (or @t223 @t222 @t221 @t220)) % 10.01/10.25 (define @t331 () (or @t224 @t330)) % 10.01/10.25 (define @t332 () (forall @t226 @t331)) % 10.01/10.25 (define @t333 () (@list @t210 @t209)) % 10.01/10.25 (define @t334 () (forall @t333 @t331)) % 10.01/10.25 (define @t335 () (forall @t333 @t330)) % 10.01/10.25 (define @t336 () (@var "BOUND_VARIABLE_10960" $$unsorted)) % 10.01/10.25 (define @t337 () (or @t224 @t335)) % 10.01/10.25 (define @t338 () (and @t130 (not (tptp.memberP @t336 @t28)))) % 10.01/10.25 (define @t339 () (not (= @t2 (tptp.app @t133 @t336)))) % 10.01/10.25 (define @t340 () (not (tptp.ssList @t336))) % 10.01/10.25 (define @t341 () (not @t30)) % 10.01/10.25 (define @t342 () (or @t341 @t340 @t339 @t338)) % 10.01/10.25 (define @t343 () (@list @t27 @t336)) % 10.01/10.25 (define @t344 () (forall @t343 @t342)) % 10.01/10.25 (define @t345 () (or @t340 @t339 @t338)) % 10.01/10.25 (define @t346 () (or @t341 @t345)) % 10.01/10.25 (define @t347 () (forall @t343 @t346)) % 10.01/10.25 (define @t348 () (@list @t336)) % 10.01/10.25 (define @t349 () (forall @t348 @t346)) % 10.01/10.25 (define @t350 () (forall @t348 @t345)) % 10.01/10.25 (define @t351 () (or @t341 @t350)) % 10.01/10.25 (define @t352 () (not (= @t2 @t134))) % 10.01/10.25 (define @t353 () (not @t137)) % 10.01/10.25 (define @t354 () (or @t353 @t352 @t131)) % 10.01/10.25 (define @t355 () (forall @t139 @t354)) % 10.01/10.25 (define @t356 () (or @t352 @t131)) % 10.01/10.25 (define @t357 () (tptp.ssItem @t179)) % 10.01/10.25 (define @t358 () (@quantifiers_skolemize @t178 2)) % 10.01/10.25 (define @t359 () (tptp.cons @t179 tptp.nil)) % 10.01/10.25 (define @t360 () (@quantifiers_skolemize @t178 1)) % 10.01/10.25 (define @t361 () (tptp.app @t360 @t359)) % 10.01/10.25 (define @t362 () (tptp.app @t361 @t358)) % 10.01/10.25 (define @t363 () (= tptp.nil @t362)) % 10.01/10.25 (define @t364 () (not @t363)) % 10.01/10.25 (define @t365 () (@quantifiers_skolemize @t178 3)) % 10.01/10.25 (define @t366 () (or (not (= tptp.nil @t365)) @t364)) % 10.01/10.25 (define @t367 () (@quantifiers_skolemize @t178 4)) % 10.01/10.25 (define @t368 () (tptp.cons @t367 tptp.nil)) % 10.01/10.25 (define @t369 () (= @t362 @t368)) % 10.01/10.25 (define @t370 () (not @t369)) % 10.01/10.25 (define @t371 () (tptp.ssItem @t367)) % 10.01/10.25 (define @t372 () (not @t371)) % 10.01/10.25 (define @t373 () (or @t372 @t370 (not (tptp.memberP @t365 @t367)))) % 10.01/10.25 (define @t374 () (and @t373 @t366)) % 10.01/10.25 (define @t375 () (tptp.memberP @t358 @t179)) % 10.01/10.25 (define @t376 () (not @t375)) % 10.01/10.25 (define @t377 () (tptp.memberP @t360 @t179)) % 10.01/10.25 (define @t378 () (not @t377)) % 10.01/10.25 (define @t379 () (and @t378 @t376)) % 10.01/10.25 (define @t380 () (tptp.ssList @t358)) % 10.01/10.25 (define @t381 () (not @t380)) % 10.01/10.25 (define @t382 () (tptp.ssList @t360)) % 10.01/10.25 (define @t383 () (not @t382)) % 10.01/10.25 (define @t384 () (not @t357)) % 10.01/10.25 (define @t385 () (or (not (tptp.ssList @t362)) @t384 @t383 @t381 @t379 (not (tptp.ssList @t365)) @t374)) % 10.01/10.25 (define @t386 () (@list true)) % 10.01/10.25 (define @t387 () (@list @t385)) % 10.01/10.25 (define @t388 () (tptp.memberP tptp.nil @t179)) % 10.01/10.25 (define @t389 () (not @t388)) % 10.01/10.25 (define @t390 () (or @t384 @t389)) % 10.01/10.25 (define @t391 () (@list false false)) % 10.01/10.25 (define @t392 () (@var "BOUND_VARIABLE_10618" $$unsorted)) % 10.01/10.25 (define @t393 () (and (= @t392 tptp.nil) @t185)) % 10.01/10.25 (define @t394 () (= tptp.nil (tptp.app @t2 @t392))) % 10.01/10.25 (define @t395 () (= @t394 @t393)) % 10.01/10.25 (define @t396 () (not (tptp.ssList @t392))) % 10.01/10.25 (define @t397 () (or @t190 @t396 @t395)) % 10.01/10.25 (define @t398 () (or @t396 @t395)) % 10.01/10.25 (define @t399 () (or @t190 @t398)) % 10.01/10.25 (define @t400 () (@list @t2 @t392)) % 10.01/10.25 (define @t401 () (forall @t400 @t399)) % 10.01/10.25 (define @t402 () (@list @t392)) % 10.01/10.25 (define @t403 () (forall @t402 @t399)) % 10.01/10.25 (define @t404 () (forall @t402 @t398)) % 10.01/10.25 (define @t405 () (@list @t1)) % 10.01/10.25 (define @t406 () (or @t190 @t404)) % 10.01/10.25 (define @t407 () (= @t104 (and @t212 @t185))) % 10.01/10.25 (define @t408 () (forall @t7 (or @t217 @t407))) % 10.01/10.25 (define @t409 () (tptp.tl @t361)) % 10.01/10.25 (define @t410 () (= tptp.nil @t358)) % 10.01/10.25 (define @t411 () (and @t410 (= @t409 tptp.nil))) % 10.01/10.25 (define @t412 () (tptp.app @t409 @t358)) % 10.01/10.25 (define @t413 () (= tptp.nil @t412)) % 10.01/10.25 (define @t414 () (= @t413 @t411)) % 10.01/10.25 (define @t415 () (tptp.ssList @t409)) % 10.01/10.25 (define @t416 () (not @t415)) % 10.01/10.25 (define @t417 () (or @t416 @t381 @t414)) % 10.01/10.25 (define @t418 () (forall @t400 (or @t190 @t396 (= @t394 (and (= tptp.nil @t392) @t185))))) % 10.01/10.25 (define @t419 () (and @t410 (= tptp.nil @t409))) % 10.01/10.25 (define @t420 () (= @t413 @t419)) % 10.01/10.25 (define @t421 () (or @t416 @t381 @t420)) % 10.01/10.25 (define @t422 () (@list false)) % 10.01/10.25 (define @t423 () (@list @t418)) % 10.01/10.25 (define @t424 () (or @t190 @t185 @t61)) % 10.01/10.25 (define @t425 () (not @t186)) % 10.01/10.25 (define @t426 () (=> @t186 @t61)) % 10.01/10.25 (define @t427 () (tptp.ssList @t361)) % 10.01/10.25 (define @t428 () (not @t427)) % 10.01/10.25 (define @t429 () (= @t361 tptp.nil)) % 10.01/10.25 (define @t430 () (or @t428 @t429 @t415)) % 10.01/10.25 (define @t431 () (forall @t9 @t424)) % 10.01/10.25 (define @t432 () (= tptp.nil @t361)) % 10.01/10.25 (define @t433 () (or @t428 @t432 @t415)) % 10.01/10.25 (define @t434 () (= tptp.nil @t359)) % 10.01/10.25 (define @t435 () (= @t360 tptp.nil)) % 10.01/10.25 (define @t436 () (and @t434 @t435)) % 10.01/10.25 (define @t437 () (= @t432 @t436)) % 10.01/10.25 (define @t438 () (tptp.ssList @t359)) % 10.01/10.25 (define @t439 () (not @t438)) % 10.01/10.25 (define @t440 () (or @t383 @t439 @t437)) % 10.01/10.25 (define @t441 () (@list @t360 @t359)) % 10.01/10.25 (define @t442 () (= tptp.nil @t360)) % 10.01/10.25 (define @t443 () (and @t434 @t442)) % 10.01/10.25 (define @t444 () (= @t432 @t443)) % 10.01/10.25 (define @t445 () (or @t383 @t439 @t444)) % 10.01/10.25 (define @t446 () (@var "BOUND_VARIABLE_9146" $$unsorted)) % 10.01/10.25 (define @t447 () (tptp.ssList (tptp.cons @t446 @t2))) % 10.01/10.25 (define @t448 () (not (tptp.ssItem @t446))) % 10.01/10.25 (define @t449 () (or @t448 @t447)) % 10.01/10.25 (define @t450 () (or @t190 @t449)) % 10.01/10.25 (define @t451 () (forall (@list @t2 @t446) @t450)) % 10.01/10.25 (define @t452 () (@list @t446)) % 10.01/10.25 (define @t453 () (forall @t452 @t450)) % 10.01/10.25 (define @t454 () (forall @t452 @t449)) % 10.01/10.25 (define @t455 () (or @t190 @t454)) % 10.01/10.25 (define @t456 () (not @t6)) % 10.01/10.25 (define @t457 () (forall @t7 (or @t456 @t38))) % 10.01/10.25 (define @t458 () (@list tptp.nil @t179)) % 10.01/10.25 (define @t459 () (not @t42)) % 10.01/10.25 (define @t460 () (or @t459 @t384 @t438)) % 10.01/10.25 (define @t461 () (@list false false false)) % 10.01/10.25 (define @t462 () (@var "BOUND_VARIABLE_9169" $$unsorted)) % 10.01/10.25 (define @t463 () (not (= @t2 (tptp.cons @t462 @t2)))) % 10.01/10.25 (define @t464 () (not (tptp.ssItem @t462))) % 10.01/10.25 (define @t465 () (or @t464 @t463)) % 10.01/10.25 (define @t466 () (or @t190 @t465)) % 10.01/10.25 (define @t467 () (forall (@list @t2 @t462) @t466)) % 10.01/10.25 (define @t468 () (@list @t462)) % 10.01/10.25 (define @t469 () (forall @t468 @t466)) % 10.01/10.25 (define @t470 () (forall @t468 @t465)) % 10.01/10.25 (define @t471 () (or @t190 @t470)) % 10.01/10.25 (define @t472 () (not (= @t2 @t37))) % 10.01/10.25 (define @t473 () (forall @t7 (or @t456 @t472))) % 10.01/10.25 (define @t474 () (not @t434)) % 10.01/10.25 (define @t475 () (or @t459 @t384 @t474)) % 10.01/10.25 (define @t476 () (not @t443)) % 10.01/10.25 (define @t477 () (@list @t434)) % 10.01/10.25 (define @t478 () (not @t432)) % 10.01/10.25 (define @t479 () (@list true false)) % 10.01/10.25 (define @t480 () (@var "BOUND_VARIABLE_9390" $$unsorted)) % 10.01/10.25 (define @t481 () (tptp.ssList (tptp.app @t2 @t480))) % 10.01/10.25 (define @t482 () (not (tptp.ssList @t480))) % 10.01/10.25 (define @t483 () (or @t482 @t481)) % 10.01/10.25 (define @t484 () (or @t190 @t483)) % 10.01/10.25 (define @t485 () (forall (@list @t2 @t480) @t484)) % 10.01/10.25 (define @t486 () (@list @t480)) % 10.01/10.25 (define @t487 () (forall @t486 @t484)) % 10.01/10.25 (define @t488 () (forall @t486 @t483)) % 10.01/10.25 (define @t489 () (or @t190 @t488)) % 10.01/10.25 (define @t490 () (forall @t7 (or @t217 @t71))) % 10.01/10.25 (define @t491 () (or @t383 @t439 @t427)) % 10.01/10.25 (define @t492 () (@var "BOUND_VARIABLE_10685" $$unsorted)) % 10.01/10.25 (define @t493 () (= (tptp.tl (tptp.app @t2 @t492)) (tptp.app @t60 @t492))) % 10.01/10.25 (define @t494 () (not (tptp.ssList @t492))) % 10.01/10.25 (define @t495 () (or @t190 @t185 @t494 @t493)) % 10.01/10.25 (define @t496 () (or @t494 @t493)) % 10.01/10.25 (define @t497 () (or @t190 @t185 @t496)) % 10.01/10.25 (define @t498 () (@list @t2 @t492)) % 10.01/10.25 (define @t499 () (forall @t498 @t497)) % 10.01/10.25 (define @t500 () (@list @t492)) % 10.01/10.25 (define @t501 () (forall @t500 @t497)) % 10.01/10.25 (define @t502 () (forall @t500 @t496)) % 10.01/10.25 (define @t503 () (or @t190 @t185 @t502)) % 10.01/10.25 (define @t504 () (or @t217 @t110)) % 10.01/10.25 (define @t505 () (forall @t7 @t504)) % 10.01/10.25 (define @t506 () (or @t190 @t185 @t505)) % 10.01/10.25 (define @t507 () (or @t185 @t505)) % 10.01/10.25 (define @t508 () (or @t185 @t504)) % 10.01/10.25 (define @t509 () (or @t217 @t185 @t110)) % 10.01/10.25 (define @t510 () (=> @t186 @t110)) % 10.01/10.25 (define @t511 () (= (tptp.tl @t362) @t412)) % 10.01/10.25 (define @t512 () (or @t428 @t429 @t381 @t511)) % 10.01/10.25 (define @t513 () (forall @t498 @t495)) % 10.01/10.25 (define @t514 () (@list @t361 @t358)) % 10.01/10.25 (define @t515 () (or @t428 @t432 @t381 @t511)) % 10.01/10.25 (define @t516 () (@list @t513)) % 10.01/10.25 (define @t517 () (and @t410 @t429)) % 10.01/10.25 (define @t518 () (= @t363 @t517)) % 10.01/10.25 (define @t519 () (or @t428 @t381 @t518)) % 10.01/10.25 (define @t520 () (and @t410 @t432)) % 10.01/10.25 (define @t521 () (= @t363 @t520)) % 10.01/10.25 (define @t522 () (or @t428 @t381 @t521)) % 10.01/10.25 (define @t523 () (not @t520)) % 10.01/10.25 (define @t524 () (@list @t373)) % 10.01/10.25 (define @t525 () (tptp.tl @t368)) % 10.01/10.25 (define @t526 () (@var "BOUND_VARIABLE_9370" $$unsorted)) % 10.01/10.25 (define @t527 () (= @t2 (tptp.tl (tptp.cons @t526 @t2)))) % 10.01/10.25 (define @t528 () (not (tptp.ssItem @t526))) % 10.01/10.25 (define @t529 () (or @t528 @t527)) % 10.01/10.25 (define @t530 () (or @t190 @t529)) % 10.01/10.25 (define @t531 () (forall (@list @t2 @t526) @t530)) % 10.01/10.25 (define @t532 () (@list @t526)) % 10.01/10.25 (define @t533 () (forall @t532 @t530)) % 10.01/10.25 (define @t534 () (forall @t532 @t529)) % 10.01/10.25 (define @t535 () (or @t190 @t534)) % 10.01/10.25 (define @t536 () (= @t2 @t65)) % 10.01/10.25 (define @t537 () (forall @t7 (or @t456 @t536))) % 10.01/10.25 (define @t538 () (= tptp.nil @t525)) % 10.01/10.25 (define @t539 () (or @t459 @t372 @t538)) % 10.01/10.25 (define @t540 () (not @t410)) % 10.01/10.25 (define @t541 () (not @t389)) % 10.01/10.25 (define @t542 () (= true false)) % 10.01/10.25 (define @t543 () (and @t389 @t410 @t375)) % 10.01/10.25 (define @t544 () (@var "BOUND_VARIABLE_9283" $$unsorted)) % 10.01/10.25 (define @t545 () (tptp.cons @t544 @t1)) % 10.01/10.25 (define @t546 () (not (= @t2 @t545))) % 10.01/10.25 (define @t547 () (not (tptp.ssItem @t544))) % 10.01/10.25 (define @t548 () (or @t217 @t547 @t546)) % 10.01/10.25 (define @t549 () (@list @t1 @t544)) % 10.01/10.25 (define @t550 () (not (forall @t549 @t548))) % 10.01/10.25 (define @t551 () (or @t190 @t185 @t550)) % 10.01/10.25 (define @t552 () (or @t185 @t550)) % 10.01/10.25 (define @t553 () (or @t547 @t546)) % 10.01/10.25 (define @t554 () (or @t217 @t553)) % 10.01/10.25 (define @t555 () (forall @t549 @t554)) % 10.01/10.25 (define @t556 () (@list @t544)) % 10.01/10.25 (define @t557 () (forall @t556 @t554)) % 10.01/10.25 (define @t558 () (forall @t556 @t553)) % 10.01/10.25 (define @t559 () (@list @t12)) % 10.01/10.25 (define @t560 () (or @t217 @t558)) % 10.01/10.25 (define @t561 () (= @t2 @t49)) % 10.01/10.25 (define @t562 () (forall @t16 (or (not @t34) (not @t561)))) % 10.01/10.25 (define @t563 () (not @t562)) % 10.01/10.25 (define @t564 () (and @t21 @t563)) % 10.01/10.25 (define @t565 () (forall @t7 (not @t564))) % 10.01/10.25 (define @t566 () (not @t565)) % 10.01/10.25 (define @t567 () (and @t34 @t561)) % 10.01/10.25 (define @t568 () (forall @t16 (not @t567))) % 10.01/10.25 (define @t569 () (not @t568)) % 10.01/10.25 (define @t570 () (not (= @t360 @t545))) % 10.01/10.25 (define @t571 () (or @t217 @t547 @t570)) % 10.01/10.25 (define @t572 () (forall @t549 @t571)) % 10.01/10.25 (define @t573 () (not @t572)) % 10.01/10.25 (define @t574 () (or @t383 @t435 @t573)) % 10.01/10.25 (define @t575 () (forall @t9 @t551)) % 10.01/10.25 (define @t576 () (forall @t549 (or @t217 @t547 (not (= @t545 @t360))))) % 10.01/10.25 (define @t577 () (not @t576)) % 10.01/10.25 (define @t578 () (or @t383 @t442 @t577)) % 10.01/10.25 (define @t579 () (@list @t575)) % 10.01/10.25 (define @t580 () (@list @t359 @t358)) % 10.01/10.25 (define @t581 () (tptp.app @t359 @t358)) % 10.01/10.25 (define @t582 () (tptp.ssList @t581)) % 10.01/10.25 (define @t583 () (or @t439 @t381 @t582)) % 10.01/10.25 (define @t584 () (tptp.tl @t360)) % 10.01/10.25 (define @t585 () (tptp.app @t584 @t581)) % 10.01/10.25 (define @t586 () (tptp.app @t360 @t581)) % 10.01/10.25 (define @t587 () (= (tptp.tl @t586) @t585)) % 10.01/10.25 (define @t588 () (not @t582)) % 10.01/10.25 (define @t589 () (or @t383 @t435 @t588 @t587)) % 10.01/10.25 (define @t590 () (or @t383 @t442 @t588 @t587)) % 10.01/10.25 (define @t591 () (@quantifiers_skolemize @t576 0)) % 10.01/10.25 (define @t592 () (@quantifiers_skolemize @t576 1)) % 10.01/10.25 (define @t593 () (tptp.cons @t592 @t591)) % 10.01/10.25 (define @t594 () (= @t360 @t593)) % 10.01/10.25 (define @t595 () (not @t594)) % 10.01/10.25 (define @t596 () (tptp.ssItem @t592)) % 10.01/10.25 (define @t597 () (not @t596)) % 10.01/10.25 (define @t598 () (tptp.ssList @t591)) % 10.01/10.25 (define @t599 () (not @t598)) % 10.01/10.25 (define @t600 () (or @t599 @t597 @t595)) % 10.01/10.25 (define @t601 () (not @t600)) % 10.01/10.25 (define @t602 () (not (= @t593 @t360))) % 10.01/10.25 (define @t603 () (or @t599 @t597 @t602)) % 10.01/10.25 (define @t604 () (not @t603)) % 10.01/10.25 (define @t605 () (= tptp.nil @t581)) % 10.01/10.25 (define @t606 () (and @t605 (= @t591 tptp.nil))) % 10.01/10.25 (define @t607 () (= tptp.nil (tptp.app @t591 @t581))) % 10.01/10.25 (define @t608 () (= @t607 @t606)) % 10.01/10.25 (define @t609 () (or @t599 @t588 @t608)) % 10.01/10.25 (define @t610 () (and @t605 (= tptp.nil @t591))) % 10.01/10.25 (define @t611 () (= @t607 @t610)) % 10.01/10.25 (define @t612 () (or @t599 @t588 @t611)) % 10.01/10.25 (define @t613 () (= @t591 (tptp.tl @t593))) % 10.01/10.25 (define @t614 () (or @t599 @t597 @t613)) % 10.01/10.25 (define @t615 () (= @t359 tptp.nil)) % 10.01/10.25 (define @t616 () (and @t410 @t615)) % 10.01/10.25 (define @t617 () (= @t605 @t616)) % 10.01/10.25 (define @t618 () (or @t439 @t381 @t617)) % 10.01/10.25 (define @t619 () (and @t410 @t434)) % 10.01/10.25 (define @t620 () (= @t605 @t619)) % 10.01/10.25 (define @t621 () (or @t439 @t381 @t620)) % 10.01/10.25 (define @t622 () (not @t619)) % 10.01/10.25 (define @t623 () (not @t605)) % 10.01/10.25 (define @t624 () (not @t610)) % 10.01/10.25 (define @t625 () (@var "BOUND_VARIABLE_10549" $$unsorted)) % 10.01/10.25 (define @t626 () (= (tptp.cons @t625 @t2) (tptp.app (tptp.cons @t625 tptp.nil) @t2))) % 10.01/10.25 (define @t627 () (not (tptp.ssItem @t625))) % 10.01/10.25 (define @t628 () (or @t627 @t626)) % 10.01/10.25 (define @t629 () (or @t190 @t628)) % 10.01/10.25 (define @t630 () (forall (@list @t2 @t625) @t629)) % 10.01/10.25 (define @t631 () (@list @t625)) % 10.01/10.25 (define @t632 () (forall @t631 @t629)) % 10.01/10.25 (define @t633 () (forall @t631 @t628)) % 10.01/10.25 (define @t634 () (or @t190 @t633)) % 10.01/10.25 (define @t635 () (forall @t7 (or @t456 @t93))) % 10.01/10.25 (define @t636 () (tptp.app @t359 tptp.nil)) % 10.01/10.25 (define @t637 () (= @t359 @t636)) % 10.01/10.25 (define @t638 () (or @t459 @t384 @t637)) % 10.01/10.25 (define @t639 () (@var "BOUND_VARIABLE_10590" $$unsorted)) % 10.01/10.25 (define @t640 () (@var "BOUND_VARIABLE_10588" $$unsorted)) % 10.01/10.25 (define @t641 () (= (tptp.app (tptp.app @t2 @t640) @t639) (tptp.app @t2 (tptp.app @t640 @t639)))) % 10.01/10.25 (define @t642 () (not (tptp.ssList @t639))) % 10.01/10.25 (define @t643 () (not (tptp.ssList @t640))) % 10.01/10.25 (define @t644 () (or @t643 @t642 @t641)) % 10.01/10.25 (define @t645 () (or @t190 @t644)) % 10.01/10.25 (define @t646 () (forall (@list @t2 @t640 @t639) @t645)) % 10.01/10.25 (define @t647 () (@list @t640 @t639)) % 10.01/10.25 (define @t648 () (forall @t647 @t645)) % 10.01/10.25 (define @t649 () (forall @t647 @t644)) % 10.01/10.25 (define @t650 () (@var "BOUND_VARIABLE_10570" $$unsorted)) % 10.01/10.25 (define @t651 () (or @t190 @t649)) % 10.01/10.25 (define @t652 () (= (tptp.app @t70 @t650) (tptp.app @t2 (tptp.app @t1 @t650)))) % 10.01/10.25 (define @t653 () (not (tptp.ssList @t650))) % 10.01/10.25 (define @t654 () (or @t217 @t653 @t652)) % 10.01/10.25 (define @t655 () (@list @t1 @t650)) % 10.01/10.25 (define @t656 () (forall @t655 @t654)) % 10.01/10.25 (define @t657 () (or @t653 @t652)) % 10.01/10.25 (define @t658 () (or @t217 @t657)) % 10.01/10.25 (define @t659 () (forall @t655 @t658)) % 10.01/10.25 (define @t660 () (@list @t650)) % 10.01/10.25 (define @t661 () (forall @t660 @t658)) % 10.01/10.25 (define @t662 () (forall @t660 @t657)) % 10.01/10.25 (define @t663 () (or @t217 @t662)) % 10.01/10.25 (define @t664 () (forall @t16 (or @t266 @t97))) % 10.01/10.25 (define @t665 () (= @t362 @t586)) % 10.01/10.25 (define @t666 () (or @t383 @t439 @t381 @t665)) % 10.01/10.25 (define @t667 () (not (= @t359 @t545))) % 10.01/10.25 (define @t668 () (or @t217 @t547 @t667)) % 10.01/10.25 (define @t669 () (forall @t549 @t668)) % 10.01/10.25 (define @t670 () (not @t669)) % 10.01/10.25 (define @t671 () (or @t439 @t615 @t670)) % 10.01/10.25 (define @t672 () (forall @t549 (or @t217 @t547 (not (= @t545 @t359))))) % 10.01/10.25 (define @t673 () (not @t672)) % 10.01/10.25 (define @t674 () (or @t439 @t434 @t673)) % 10.01/10.25 (define @t675 () (@quantifiers_skolemize @t672 0)) % 10.01/10.25 (define @t676 () (@quantifiers_skolemize @t672 1)) % 10.01/10.25 (define @t677 () (tptp.cons @t676 @t675)) % 10.01/10.25 (define @t678 () (= @t359 @t677)) % 10.01/10.25 (define @t679 () (not @t678)) % 10.01/10.25 (define @t680 () (not (tptp.ssItem @t676))) % 10.01/10.25 (define @t681 () (not (tptp.ssList @t675))) % 10.01/10.25 (define @t682 () (or @t681 @t680 @t679)) % 10.01/10.25 (define @t683 () (not @t682)) % 10.01/10.25 (define @t684 () (not (= @t677 @t359))) % 10.01/10.25 (define @t685 () (or @t681 @t680 @t684)) % 10.01/10.25 (define @t686 () (not @t685)) % 10.01/10.25 (define @t687 () (and @t369 @t410 @t538 @t637 @t665 @t594 @t613 @t678 @t587)) % 10.01/10.25 (define @t688 () (not @t442)) % 10.01/10.25 (define @t689 () (and @t389 @t442 @t377)) % 10.01/10.25 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 10.01/10.25 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 10.01/10.25 (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))))))))))) % 10.01/10.25 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 10.01/10.25 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 10.01/10.25 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 10.01/10.25 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 10.01/10.25 (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))))))))))))))))) % 10.01/10.25 (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)))))))))))))))) % 10.01/10.25 (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))))))))))))))))) % 10.01/10.25 (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))))))))))))))) % 10.01/10.25 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 10.01/10.25 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 10.01/10.25 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 10.01/10.25 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 10.01/10.25 (assume @p16 @t41) % 10.01/10.25 (assume @p17 @t42) % 10.01/10.25 (assume @p18 @t47) % 10.01/10.25 (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) @t48))))))))))) % 10.01/10.25 (assume @p20 @t57) % 10.01/10.25 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 10.01/10.25 (assume @p22 (forall @t9 (=> @t17 (=> @t59 (tptp.ssItem @t58))))) % 10.01/10.25 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 10.01/10.25 (assume @p24 @t64) % 10.01/10.25 (assume @p25 @t69) % 10.01/10.25 (assume @p26 @t74) % 10.01/10.25 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t75) (tptp.app @t49 @t2))))))))) % 10.01/10.25 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 10.01/10.25 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t77 @t76) @t3)))))) % 10.01/10.25 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 @t26) (tptp.leq @t2 @t12))))))))) % 10.01/10.25 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 10.01/10.25 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t78 @t76)))))) % 10.01/10.25 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t80 (not @t79))))))) % 10.01/10.25 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t80 @t35) @t81)))))))) % 10.01/10.25 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t82 @t79)))))) % 10.01/10.25 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t83))))))))) % 10.01/10.25 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t83))))))))) % 10.01/10.25 (assume @p38 @t85) % 10.01/10.25 (assume @p39 (not (tptp.singletonP tptp.nil))) % 10.01/10.25 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 10.01/10.25 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 10.01/10.25 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 10.01/10.25 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 10.01/10.25 (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)))))))))))) % 10.01/10.25 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 10.01/10.25 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t54)))) % 10.01/10.25 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 10.01/10.25 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 10.01/10.25 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 10.01/10.25 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t86 @t1))))))))) % 10.01/10.25 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 10.01/10.25 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t54)))) % 10.01/10.25 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 10.01/10.25 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 10.01/10.25 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 10.01/10.25 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t86 @t10) @t1))))))))))) % 10.01/10.25 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 10.01/10.25 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t54)))) % 10.01/10.25 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t87)))) % 10.01/10.25 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 10.01/10.25 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t87)))) % 10.01/10.25 (assume @p62 (tptp.totalorderP tptp.nil)) % 10.01/10.25 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t87)))) % 10.01/10.25 (assume @p64 (tptp.strictorderP tptp.nil)) % 10.01/10.25 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t87)))) % 10.01/10.25 (assume @p66 (tptp.totalorderedP tptp.nil)) % 10.01/10.25 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t91) (or @t89 (and @t90 (tptp.totalorderedP @t1) (tptp.leq @t2 @t88))))))))) % 10.01/10.25 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t87)))) % 10.01/10.25 (assume @p69 (tptp.strictorderedP tptp.nil)) % 10.01/10.25 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t91) (or @t89 (and @t90 (tptp.strictorderedP @t1) (tptp.lt @t2 @t88))))))))) % 10.01/10.25 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t87)))) % 10.01/10.25 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 10.01/10.25 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t87)))) % 10.01/10.25 (assume @p74 (tptp.equalelemsP tptp.nil)) % 10.01/10.25 (assume @p75 (forall @t9 (=> @t17 (=> @t59 (exists @t7 (and @t6 (= @t58 @t1))))))) % 10.01/10.25 (assume @p76 (forall @t9 (=> @t17 (=> @t59 (exists @t7 (and @t21 (= @t60 @t1))))))) % 10.01/10.25 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t90 @t59 (= @t88 @t58) (= (tptp.tl @t1) @t60)) @t48)))))) % 10.01/10.25 (assume @p78 (forall @t9 (=> @t17 (=> @t59 (= (tptp.cons @t58 @t60) @t2))))) % 10.01/10.25 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t70) @t92)))))))) % 10.01/10.25 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t75) @t92)))))))) % 10.01/10.25 (assume @p81 @t96) % 10.01/10.25 (assume @p82 @t102) % 10.01/10.25 (assume @p83 @t109) % 10.01/10.25 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 10.01/10.25 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t59 (= (tptp.hd @t70) @t58))))))) % 10.01/10.25 (assume @p86 @t115) % 10.01/10.25 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t78 (tptp.geq @t1 @t2)) @t3)))))) % 10.01/10.25 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t78 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 10.01/10.25 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 10.01/10.25 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 10.01/10.25 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 @t35) @t81)))))))) % 10.01/10.25 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (or @t3 @t80))))))) % 10.01/10.25 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t80 (and @t4 @t77))))))) % 10.01/10.25 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t82 (not (tptp.gt @t1 @t2)))))))) % 10.01/10.25 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t82 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 10.01/10.25 (assume @p96 @t157) % 10.01/10.25 (assume @p97 true) % 10.01/10.25 (step @p98 :rule bool-impl-elim :args (@t8 @t84)) % 10.01/10.25 (step @p99 :rule cong :premises (@p98) :args (@t85)) % 10.01/10.25 (step @p100 :rule eq_resolve :premises (@p38 @p99)) % 10.01/10.25 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t179))) % 10.01/10.25 (step @p102 :rule aci_norm :args ((= (or @t175 @t174 @t173 @t172 false @t171 @t170 @t169) @t176))) % 10.01/10.25 (step @p103 :rule eq-symm :args (@t161 tptp.nil)) % 10.01/10.25 (step @p104 :rule cong :premises (@p103) :args (@t180)) % 10.01/10.25 (step @p105 :rule refl :args (@t163)) % 10.01/10.25 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t181)) % 10.01/10.25 (step @p107 :rule refl :args (@t168)) % 10.01/10.25 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t182)) % 10.01/10.25 (step @p109 :rule refl :args (@t170)) % 10.01/10.25 (step @p110 :rule refl :args (@t171)) % 10.01/10.25 (step @p111 :rule evaluate :args ((not true))) % 10.01/10.25 (step @p112 :rule eq-refl :args (@t161)) % 10.01/10.25 (step @p113 :rule cong :premises (@p112) :args (@t183)) % 10.01/10.25 (step @p114 :rule trans :premises (@p113 @p111)) % 10.01/10.25 (step @p115 :rule refl :args (@t172)) % 10.01/10.25 (step @p116 :rule refl :args (@t173)) % 10.01/10.25 (step @p117 :rule refl :args (@t174)) % 10.01/10.25 (step @p118 :rule refl :args (@t175)) % 10.01/10.25 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p115 @p114 @p110 @p109 @p108) :args (@t184)) % 10.01/10.25 (step @p120 :rule trans :premises (@p119 @p102)) % 10.01/10.25 (step @p121 :rule cong :premises (@p120) :args ((forall @t177 @t184))) % 10.01/10.25 (step @p122 :rule quant-var-elim-eq :args ((= (forall @t9 @t191) @t184))) % 10.01/10.25 (step @p123 :rule aci_norm :args ((= @t192 @t191))) % 10.01/10.25 (step @p124 :rule cong :premises (@p123) :args (@t193)) % 10.01/10.25 (step @p125 :rule trans :premises (@p124 @p122)) % 10.01/10.25 (step @p126 :rule cong :premises (@p125) :args (@t194)) % 10.01/10.25 (step @p127 :rule quant-merge-prenex :args ((= @t194 @t195))) % 10.01/10.25 (step @p128 :rule symm :premises (@p127)) % 10.01/10.25 (step @p129 :rule quant_var_reordering :args ((= (forall @t196 @t192) @t195))) % 10.01/10.25 (step @p130 :rule trans :premises (@p129 @p128 @p126)) % 10.01/10.25 (step @p131 :rule trans :premises (@p130 @p121)) % 10.01/10.25 (step @p132 :rule refl :args (@t186)) % 10.01/10.25 (step @p133 :rule eq-symm :args (@t162 tptp.nil)) % 10.01/10.25 (step @p134 :rule cong :premises (@p133) :args (@t197)) % 10.01/10.25 (step @p135 :rule nary_cong :premises (@p134 @p132) :args (@t198)) % 10.01/10.25 (step @p136 :rule refl :args (@t187)) % 10.01/10.25 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t199)) % 10.01/10.25 (step @p138 :rule refl :args (@t189)) % 10.01/10.25 (step @p139 :rule refl :args (@t190)) % 10.01/10.25 (step @p140 :rule nary_cong :premises (@p139 @p117 @p116 @p115 @p138 @p110 @p109 @p137) :args (@t200)) % 10.01/10.25 (step @p141 :rule aci_norm :args ((= @t203 @t200))) % 10.01/10.25 (step @p142 :rule trans :premises (@p141 @p140)) % 10.01/10.25 (step @p143 :rule cong :premises (@p142) :args (@t204)) % 10.01/10.25 (step @p144 :rule trans :premises (@p143 @p131)) % 10.01/10.25 (step @p145 :rule quant-merge-prenex :args ((= (forall @t9 @t205) @t204))) % 10.01/10.25 (step @p146 :rule alpha_equiv :args (@t206 (@list @t162 @t164) (@list @t1 @t207))) % 10.01/10.25 (step @p147 :rule alpha_equiv :args (@t208 (@list @t159 @t160 @t158) (@list @t28 @t210 @t209))) % 10.01/10.25 (step @p148 :rule refl :args (@t190)) % 10.01/10.25 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146) :args (@t211)) % 10.01/10.25 (step @p150 :rule quant-miniscope-or :args ((= @t205 @t211))) % 10.01/10.25 (step @p151 :rule trans :premises (@p150 @p149)) % 10.01/10.25 (step @p152 :rule symm :premises (@p151)) % 10.01/10.25 (step @p153 :rule cong :premises (@p152) :args ((forall @t9 @t228))) % 10.01/10.25 (step @p154 :rule trans :premises (@p153 @p145)) % 10.01/10.25 (step @p155 :rule trans :premises (@p154 @p144)) % 10.01/10.25 (step @p156 :rule aci_norm :args ((= (or @t190 @t229) @t228))) % 10.01/10.25 (step @p157 :rule bool-impl-elim :args (@t17 @t229)) % 10.01/10.25 (step @p158 :rule trans :premises (@p157 @p156)) % 10.01/10.25 (step @p159 :rule cong :premises (@p158) :args ((forall @t9 (=> @t17 @t229)))) % 10.01/10.25 (step @p160 :rule trans :premises (@p159 @p155)) % 10.01/10.25 (step @p161 :rule quant-merge-prenex :args ((= (forall @t7 @t231) @t219))) % 10.01/10.25 (step @p162 :rule quant-unused-vars :args ((= @t232 @t214))) % 10.01/10.25 (step @p163 :rule alpha_equiv :args (@t233 (@list @t207) @t235)) % 10.01/10.25 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t236)) % 10.01/10.25 (step @p165 :rule quant-miniscope-and :args ((= @t237 @t236))) % 10.01/10.25 (step @p166 :rule trans :premises (@p165 @p164)) % 10.01/10.25 (step @p167 :rule refl :args (@t217)) % 10.01/10.25 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t238)) % 10.01/10.25 (step @p169 :rule quant-miniscope-or :args ((= @t231 @t238))) % 10.01/10.25 (step @p170 :rule trans :premises (@p169 @p168)) % 10.01/10.25 (step @p171 :rule symm :premises (@p170)) % 10.01/10.25 (step @p172 :rule cong :premises (@p171) :args (@t241)) % 10.01/10.25 (step @p173 :rule trans :premises (@p172 @p161)) % 10.01/10.25 (step @p174 :rule refl :args (@t227)) % 10.01/10.25 (step @p175 :rule nary_cong :premises (@p174 @p139 @p173) :args (@t242)) % 10.01/10.25 (step @p176 :rule quant-miniscope-or :args ((= (forall @t7 @t243) @t242))) % 10.01/10.25 (step @p177 :rule aci_norm :args ((= @t244 @t243))) % 10.01/10.25 (step @p178 :rule cong :premises (@p177) :args ((forall @t7 @t244))) % 10.01/10.25 (step @p179 :rule trans :premises (@p178 @p176)) % 10.01/10.25 (step @p180 :rule trans :premises (@p179 @p175)) % 10.01/10.25 (step @p181 :rule aci_norm :args ((= (or @t217 @t245) @t244))) % 10.01/10.25 (step @p182 :rule bool-impl-elim :args (@t21 @t245)) % 10.01/10.25 (step @p183 :rule trans :premises (@p182 @p181)) % 10.01/10.25 (step @p184 :rule cong :premises (@p183) :args ((forall @t7 (=> @t21 @t245)))) % 10.01/10.25 (step @p185 :rule trans :premises (@p184 @p180)) % 10.01/10.25 (step @p186 :rule aci_norm :args ((= (or @t227 @t217 (or @t190 @t239)) @t245))) % 10.01/10.25 (step @p187 :rule quant-unused-vars :args ((= @t248 @t214))) % 10.01/10.25 (step @p188 :rule alpha_equiv :args (@t253 @t254 @t235)) % 10.01/10.25 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t255)) % 10.01/10.25 (step @p190 :rule quant-miniscope-and :args ((= @t257 @t255))) % 10.01/10.25 (step @p191 :rule trans :premises (@p190 @p189)) % 10.01/10.25 (step @p192 :rule nary_cong :premises (@p139 @p191) :args (@t258)) % 10.01/10.25 (step @p193 :rule quant-miniscope-or :args ((= (forall @t247 @t259) @t258))) % 10.01/10.25 (step @p194 :rule trans :premises (@p193 @p192)) % 10.01/10.25 (step @p195 :rule aci_norm :args ((= (or @t190 false @t256) @t259))) % 10.01/10.25 (step @p196 :rule refl :args (@t256)) % 10.01/10.25 (step @p197 :rule eq-refl :args (@t2)) % 10.01/10.25 (step @p198 :rule cong :premises (@p197) :args (@t260)) % 10.01/10.25 (step @p199 :rule trans :premises (@p198 @p111)) % 10.01/10.25 (step @p200 :rule nary_cong :premises (@p139 @p199 @p196) :args (@t261)) % 10.01/10.25 (step @p201 :rule trans :premises (@p200 @p195)) % 10.01/10.25 (step @p202 :rule cong :premises (@p201) :args ((forall @t247 @t261))) % 10.01/10.25 (step @p203 :rule trans :premises (@p202 @p194)) % 10.01/10.25 (step @p204 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t92) @t266 @t146 @t265)) @t261))) % 10.01/10.25 (step @p205 :rule refl :args (@t265)) % 10.01/10.25 (step @p206 :rule refl :args (@t146)) % 10.01/10.25 (step @p207 :rule refl :args (@t266)) % 10.01/10.25 (step @p208 :rule eq-symm :args (@t2 @t12)) % 10.01/10.25 (step @p209 :rule cong :premises (@p208) :args (@t146)) % 10.01/10.25 (step @p210 :rule nary_cong :premises (@p209 @p207 @p206 @p205) :args (@t267)) % 10.01/10.25 (step @p211 :rule aci_norm :args ((= @t268 @t267))) % 10.01/10.25 (step @p212 :rule trans :premises (@p211 @p210)) % 10.01/10.25 (step @p213 :rule cong :premises (@p212) :args (@t269)) % 10.01/10.25 (step @p214 :rule trans 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@p1189 @p1188 @p1191 @p1013 @p707 @p743)) % 10.01/10.25 (step @p1101 :rule modus_ponens :premises (@p1100 @p1090)) % 10.01/10.25 (step-pop @p1210 :rule scope :premises (@p1101)) % 10.01/10.25 (step-pop @p1211 :rule scope :premises (@p1210)) % 10.01/10.25 (step-pop @p1212 :rule scope :premises (@p1211)) % 10.01/10.25 (step-pop @p1213 :rule scope :premises (@p1212)) % 10.01/10.25 (step-pop @p1214 :rule scope :premises (@p1213)) % 10.01/10.25 (step-pop @p1215 :rule scope :premises (@p1214)) % 10.01/10.25 (step-pop @p1216 :rule scope :premises (@p1215)) % 10.01/10.25 (step-pop @p1217 :rule scope :premises (@p1216)) % 10.01/10.25 (step-pop @p1218 :rule scope :premises (@p1217)) % 10.01/10.25 (step @p1102 :rule process_scope :premises (@p1218) :args (@t607)) % 10.01/10.29 (step @p1112 :rule implies_elim :premises (@p1102)) % 10.01/10.29 (step @p1113 :rule cnf_and_neg :args (@t687)) % 10.01/10.29 (step @p1114 :rule resolution :premises (@p1113 @p1112) :args (true @t687)) % 10.01/10.29 (step @p1115 :rule reordering :premises (@p1114) :args ((or @t370 @t540 (not @t538) (not @t637) (not @t665) @t595 (not @t613) @t679 @t607 (not @t587)))) % 10.01/10.29 (step @p1116 :rule chain_m_resolution :premises (@p1115 @p750 @p1056 @p743 @p707 @p1013 @p972 @p948 @p946 @p922 @p920 @p919 @p917 @p856 @p903 @p898 @p893 @p887 @p869 @p867 @p856 @p538 @p852 @p850 @p538) :args (@t442 (@list false false false false false false true true false false false false false false false false true false false false false true false false) (@list @t410 @t678 @t538 @t369 @t665 @t637 @t607 @t610 @t613 @t614 @t611 @t612 @t582 @t594 @t596 @t598 @t600 @t587 @t590 @t582 @t382 @t576 @t578 @t382))) % 10.01/10.29 (step @p1117 :rule refl :args (@t688)) % 10.01/10.29 (step @p1118 :rule refl :args (@t378)) % 10.01/10.29 (step @p1119 :rule nary_cong :premises (@p1118 @p1117 @p751) :args ((or @t378 @t688 @t541))) % 10.01/10.29 (assume-push @p1219 @t389) % 10.01/10.29 (assume-push @p1220 @t442) % 10.01/10.29 (assume-push @p1221 @t377) % 10.01/10.29 (step @p758 :rule evaluate :args (@t542)) % 10.01/10.29 (step @p759 :rule false_intro :premises (@p406)) % 10.01/10.29 (step @p760 :rule refl :args (@t179)) % 10.01/10.29 (step @p1123 :rule symm :premises (@p1220)) % 10.01/10.29 (step @p1124 :rule cong :premises (@p1123 @p760) :args (@t377)) % 10.01/10.29 (step @p1125 :rule true_intro :premises (@p1221)) % 10.01/10.29 (step @p1126 :rule symm :premises (@p1125)) % 10.01/10.29 (step @p1127 :rule trans :premises (@p1126 @p1124 @p759)) % 10.01/10.29 (step @p1128 false :rule eq_resolve :premises (@p1127 @p758)) % 10.01/10.29 (step-pop @p1222 :rule scope :premises (@p1128)) % 10.01/10.29 (step-pop @p1223 :rule scope :premises (@p1222)) % 10.01/10.29 (step-pop @p1224 :rule scope :premises (@p1223)) % 10.01/10.29 (step @p1129 :rule process_scope :premises (@p1224) :args (false)) % 10.01/10.29 (assume-push @p1225 @t377) % 10.01/10.29 (assume-push @p1226 @t442) % 10.01/10.29 (assume-push @p1227 @t389) % 10.01/10.29 (step @p1136 :rule and_intro :premises (@p406 @p1226 @p1225)) % 10.01/10.29 (step-pop @p1228 :rule scope :premises (@p1136)) % 10.01/10.29 (step-pop @p1229 :rule scope :premises (@p1228)) % 10.01/10.29 (step-pop @p1230 :rule scope :premises (@p1229)) % 10.01/10.29 (step @p1137 :rule process_scope :premises (@p1230) :args (@t689)) % 10.01/10.29 (step @p1141 :rule implies_elim :premises (@p1137)) % 10.01/10.29 (step @p1142 :rule resolution :premises (@p1141 @p1129) :args (true @t689)) % 10.01/10.29 (step @p1143 :rule not_and :premises (@p1142)) % 10.01/10.29 (step @p1144 :rule eq_resolve :premises (@p1143 @p1119)) % 10.01/10.29 (step @p1145 :rule reordering :premises (@p1144) :args ((or @t378 @t388 @t688))) % 10.01/10.29 (step @p1146 false :rule chain_m_resolution :premises (@p1145 @p1116 @p792 @p406) :args (false (@list false false true) (@list @t442 @t377 @t388))) % 10.01/10.29 ) % 10.01/10.29 % SZS output end Proof % 10.01/10.29 % cvc5 exiting %------------------------------------------------------------------------------