%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC164+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:17 AM UTC 2026 % Result : Theorem 35.64s 35.83s % Output : Proof 35.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC164+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:20:32 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 35.64/35.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.64/35.83 --- Run --no-e-matching --full-saturate-quant at 6... % 35.64/35.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.64/35.83 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.64/35.83 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.64/35.83 % SZS status Theorem % 35.64/35.83 % SZS output start Proof % 35.64/35.83 ( % 35.64/35.83 (declare-sort $$unsorted 0) % 35.64/35.83 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 35.64/35.83 (declare-const tptp.nil $$unsorted) % 35.64/35.83 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.ssList (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 35.64/35.83 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 35.64/35.83 (define @t1 () (@var "V" $$unsorted)) % 35.64/35.83 (define @t2 () (@var "U" $$unsorted)) % 35.64/35.83 (define @t3 () (= @t2 @t1)) % 35.64/35.83 (define @t4 () (not @t3)) % 35.64/35.83 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 35.64/35.83 (define @t6 () (tptp.ssItem @t1)) % 35.64/35.83 (define @t7 () (@list @t1)) % 35.64/35.83 (define @t8 () (forall @t7 (=> @t6 @t5))) % 35.64/35.83 (define @t9 () (tptp.ssItem @t2)) % 35.64/35.83 (define @t10 () (=> @t9 @t8)) % 35.64/35.83 (define @t11 () (@list @t2)) % 35.64/35.83 (define @t12 () (forall @t11 @t10)) % 35.64/35.83 (define @t13 () (@var "X" $$unsorted)) % 35.64/35.83 (define @t14 () (tptp.cons @t1 @t13)) % 35.64/35.83 (define @t15 () (@var "W" $$unsorted)) % 35.64/35.83 (define @t16 () (tptp.ssList @t13)) % 35.64/35.83 (define @t17 () (@list @t13)) % 35.64/35.83 (define @t18 () (tptp.ssList @t15)) % 35.64/35.83 (define @t19 () (@list @t15)) % 35.64/35.83 (define @t20 () (tptp.ssList @t2)) % 35.64/35.83 (define @t21 () (tptp.cons @t1 tptp.nil)) % 35.64/35.83 (define @t22 () (tptp.app @t1 @t15)) % 35.64/35.83 (define @t23 () (tptp.frontsegP @t2 @t1)) % 35.64/35.83 (define @t24 () (tptp.ssList @t1)) % 35.64/35.83 (define @t25 () (tptp.app @t15 @t1)) % 35.64/35.83 (define @t26 () (tptp.rearsegP @t2 @t1)) % 35.64/35.83 (define @t27 () (tptp.segmentP @t2 @t1)) % 35.64/35.83 (define @t28 () (tptp.leq @t15 @t1)) % 35.64/35.83 (define @t29 () (tptp.leq @t1 @t15)) % 35.64/35.83 (define @t30 () (@var "Z" $$unsorted)) % 35.64/35.83 (define @t31 () (@var "Y" $$unsorted)) % 35.64/35.83 (define @t32 () (tptp.app @t13 (tptp.cons @t1 @t31))) % 35.64/35.83 (define @t33 () (tptp.app @t32 (tptp.cons @t15 @t30))) % 35.64/35.83 (define @t34 () (= @t33 @t2)) % 35.64/35.83 (define @t35 () (tptp.ssList @t30)) % 35.64/35.83 (define @t36 () (@list @t30)) % 35.64/35.83 (define @t37 () (tptp.ssList @t31)) % 35.64/35.83 (define @t38 () (@list @t31)) % 35.64/35.83 (define @t39 () (tptp.ssItem @t15)) % 35.64/35.83 (define @t40 () (tptp.lt @t1 @t15)) % 35.64/35.83 (define @t41 () (= @t1 @t15)) % 35.64/35.83 (define @t42 () (not @t41)) % 35.64/35.83 (define @t43 () (=> @t34 @t42)) % 35.64/35.83 (define @t44 () (=> @t35 @t43)) % 35.64/35.83 (define @t45 () (forall @t36 @t44)) % 35.64/35.83 (define @t46 () (=> @t37 @t45)) % 35.64/35.83 (define @t47 () (forall @t38 @t46)) % 35.64/35.83 (define @t48 () (=> @t16 @t47)) % 35.64/35.83 (define @t49 () (forall @t17 @t48)) % 35.64/35.83 (define @t50 () (=> @t39 @t49)) % 35.64/35.83 (define @t51 () (forall @t19 @t50)) % 35.64/35.83 (define @t52 () (=> @t6 @t51)) % 35.64/35.83 (define @t53 () (forall @t7 @t52)) % 35.64/35.83 (define @t54 () (tptp.duplicatefreeP @t2)) % 35.64/35.83 (define @t55 () (= @t54 @t53)) % 35.64/35.83 (define @t56 () (=> @t20 @t55)) % 35.64/35.83 (define @t57 () (forall @t11 @t56)) % 35.64/35.83 (define @t58 () (tptp.cons @t1 @t2)) % 35.64/35.83 (define @t59 () (tptp.ssList @t58)) % 35.64/35.83 (define @t60 () (forall @t7 (=> @t6 @t59))) % 35.64/35.83 (define @t61 () (=> @t20 @t60)) % 35.64/35.83 (define @t62 () (forall @t11 @t61)) % 35.64/35.83 (define @t63 () (tptp.ssList tptp.nil)) % 35.64/35.83 (define @t64 () (= @t1 @t2)) % 35.64/35.83 (define @t65 () (tptp.cons @t15 @t1)) % 35.64/35.83 (define @t66 () (= tptp.nil @t2)) % 35.64/35.83 (define @t67 () (tptp.hd @t2)) % 35.64/35.83 (define @t68 () (not @t66)) % 35.64/35.83 (define @t69 () (tptp.tl @t2)) % 35.64/35.83 (define @t70 () (tptp.app @t2 @t1)) % 35.64/35.83 (define @t71 () (tptp.ssList @t70)) % 35.64/35.83 (define @t72 () (forall @t7 (=> @t24 @t71))) % 35.64/35.83 (define @t73 () (=> @t20 @t72)) % 35.64/35.83 (define @t74 () (forall @t11 @t73)) % 35.64/35.83 (define @t75 () (tptp.app @t1 @t2)) % 35.64/35.83 (define @t76 () (= (tptp.cons @t15 @t75) (tptp.app @t65 @t2))) % 35.64/35.83 (define @t77 () (forall @t19 (=> @t39 @t76))) % 35.64/35.83 (define @t78 () (=> @t24 @t77)) % 35.64/35.83 (define @t79 () (forall @t7 @t78)) % 35.64/35.83 (define @t80 () (=> @t20 @t79)) % 35.64/35.83 (define @t81 () (forall @t11 @t80)) % 35.64/35.83 (define @t82 () (tptp.app tptp.nil @t2)) % 35.64/35.83 (define @t83 () (=> @t20 (= @t82 @t2))) % 35.64/35.83 (define @t84 () (forall @t11 @t83)) % 35.64/35.83 (define @t85 () (tptp.leq @t1 @t2)) % 35.64/35.83 (define @t86 () (tptp.leq @t2 @t1)) % 35.64/35.83 (define @t87 () (tptp.geq @t2 @t1)) % 35.64/35.83 (define @t88 () (tptp.lt @t1 @t2)) % 35.64/35.83 (define @t89 () (tptp.lt @t2 @t1)) % 35.64/35.83 (define @t90 () (tptp.lt @t2 @t15)) % 35.64/35.83 (define @t91 () (tptp.gt @t2 @t1)) % 35.64/35.83 (define @t92 () (tptp.memberP @t15 @t2)) % 35.64/35.83 (define @t93 () (tptp.app @t15 @t2)) % 35.64/35.83 (define @t94 () (tptp.cons @t2 tptp.nil)) % 35.64/35.83 (define @t95 () (tptp.hd @t1)) % 35.64/35.83 (define @t96 () (= tptp.nil @t1)) % 35.64/35.83 (define @t97 () (not @t96)) % 35.64/35.83 (define @t98 () (tptp.cons @t2 @t1)) % 35.64/35.83 (define @t99 () (tptp.duplicatefreeP @t94)) % 35.64/35.83 (define @t100 () (forall @t11 (=> @t9 @t99))) % 35.64/35.83 (define @t101 () (tptp.duplicatefreeP tptp.nil)) % 35.64/35.83 (define @t102 () (= @t15 @t2)) % 35.64/35.83 (define @t103 () (= (tptp.app @t70 @t15) (tptp.app @t2 @t22))) % 35.64/35.83 (define @t104 () (forall @t19 (=> @t18 @t103))) % 35.64/35.83 (define @t105 () (=> @t24 @t104)) % 35.64/35.83 (define @t106 () (forall @t7 @t105)) % 35.64/35.83 (define @t107 () (=> @t20 @t106)) % 35.64/35.83 (define @t108 () (forall @t11 @t107)) % 35.64/35.83 (define @t109 () (not (= tptp.nil @t15))) % 35.64/35.83 (define @t110 () (not (= tptp.nil @t13))) % 35.64/35.83 (define @t111 () (or @t110 @t109)) % 35.64/35.83 (define @t112 () (@var "X3" $$unsorted)) % 35.64/35.83 (define @t113 () (@var "X4" $$unsorted)) % 35.64/35.83 (define @t114 () (tptp.leq @t113 @t112)) % 35.64/35.83 (define @t115 () (tptp.memberP @t13 @t113)) % 35.64/35.83 (define @t116 () (= @t112 @t113)) % 35.64/35.83 (define @t117 () (not @t116)) % 35.64/35.83 (define @t118 () (tptp.ssItem @t113)) % 35.64/35.83 (define @t119 () (and @t118 @t117 @t115 @t114)) % 35.64/35.83 (define @t120 () (@list @t113)) % 35.64/35.83 (define @t121 () (exists @t120 @t119)) % 35.64/35.83 (define @t122 () (not (tptp.memberP @t13 @t112))) % 35.64/35.83 (define @t123 () (tptp.cons @t112 tptp.nil)) % 35.64/35.83 (define @t124 () (not (= @t123 @t15))) % 35.64/35.83 (define @t125 () (not (tptp.ssItem @t112))) % 35.64/35.83 (define @t126 () (or @t125 @t124 @t122 @t121)) % 35.64/35.83 (define @t127 () (@list @t112)) % 35.64/35.83 (define @t128 () (forall @t127 @t126)) % 35.64/35.83 (define @t129 () (and @t128 @t111)) % 35.64/35.83 (define @t130 () (tptp.neq @t31 @t30)) % 35.64/35.83 (define @t131 () (@var "X2" $$unsorted)) % 35.64/35.83 (define @t132 () (tptp.cons @t30 tptp.nil)) % 35.64/35.83 (define @t133 () (tptp.cons @t31 tptp.nil)) % 35.64/35.83 (define @t134 () (@var "X1" $$unsorted)) % 35.64/35.83 (define @t135 () (tptp.app (tptp.app @t134 @t133) @t132)) % 35.64/35.83 (define @t136 () (tptp.app @t135 @t131)) % 35.64/35.83 (define @t137 () (not (= @t136 @t2))) % 35.64/35.83 (define @t138 () (not (tptp.ssList @t131))) % 35.64/35.83 (define @t139 () (or @t138 @t137 @t130)) % 35.64/35.83 (define @t140 () (@list @t131)) % 35.64/35.83 (define @t141 () (forall @t140 @t139)) % 35.64/35.83 (define @t142 () (tptp.ssList @t134)) % 35.64/35.83 (define @t143 () (=> @t142 @t141)) % 35.64/35.83 (define @t144 () (@list @t134)) % 35.64/35.83 (define @t145 () (forall @t144 @t143)) % 35.64/35.83 (define @t146 () (tptp.ssItem @t30)) % 35.64/35.83 (define @t147 () (=> @t146 @t145)) % 35.64/35.83 (define @t148 () (forall @t36 @t147)) % 35.64/35.83 (define @t149 () (tptp.ssItem @t31)) % 35.64/35.83 (define @t150 () (=> @t149 @t148)) % 35.64/35.83 (define @t151 () (forall @t38 @t150)) % 35.64/35.83 (define @t152 () (not (= @t2 @t15))) % 35.64/35.83 (define @t153 () (not (= @t1 @t13))) % 35.64/35.83 (define @t154 () (not @t16)) % 35.64/35.83 (define @t155 () (or @t154 @t153 @t152 @t151 @t129)) % 35.64/35.83 (define @t156 () (forall @t17 @t155)) % 35.64/35.83 (define @t157 () (=> @t18 @t156)) % 35.64/35.83 (define @t158 () (forall @t19 @t157)) % 35.64/35.83 (define @t159 () (=> @t24 @t158)) % 35.64/35.83 (define @t160 () (forall @t7 @t159)) % 35.64/35.83 (define @t161 () (=> @t20 @t160)) % 35.64/35.83 (define @t162 () (forall @t11 @t161)) % 35.64/35.83 (define @t163 () (not @t162)) % 35.64/35.83 (define @t164 () (@var "BOUND_VARIABLE_9014" $$unsorted)) % 35.64/35.83 (define @t165 () (@var "BOUND_VARIABLE_9012" $$unsorted)) % 35.64/35.83 (define @t166 () (@var "BOUND_VARIABLE_9010" $$unsorted)) % 35.64/35.83 (define @t167 () (tptp.app (tptp.app @t166 (tptp.cons @t1 @t165)) (tptp.cons @t1 @t164))) % 35.64/35.83 (define @t168 () (not (= @t2 @t167))) % 35.64/35.83 (define @t169 () (not (tptp.ssList @t164))) % 35.64/35.83 (define @t170 () (not (tptp.ssList @t165))) % 35.64/35.83 (define @t171 () (not (tptp.ssList @t166))) % 35.64/35.83 (define @t172 () (not @t6)) % 35.64/35.83 (define @t173 () (or @t172 @t171 @t170 @t169 @t168)) % 35.64/35.83 (define @t174 () (@list @t1 @t166 @t165 @t164)) % 35.64/35.83 (define @t175 () (= @t54 (forall @t174 @t173))) % 35.64/35.83 (define @t176 () (or @t171 @t170 @t169 @t168)) % 35.64/35.83 (define @t177 () (or @t172 @t176)) % 35.64/35.83 (define @t178 () (forall @t174 @t177)) % 35.64/35.83 (define @t179 () (@list @t166 @t165 @t164)) % 35.64/35.83 (define @t180 () (forall @t179 @t177)) % 35.64/35.83 (define @t181 () (forall @t179 @t176)) % 35.64/35.83 (define @t182 () (@var "BOUND_VARIABLE_8972" $$unsorted)) % 35.64/35.83 (define @t183 () (@var "BOUND_VARIABLE_8970" $$unsorted)) % 35.64/35.83 (define @t184 () (@var "BOUND_VARIABLE_8968" $$unsorted)) % 35.64/35.83 (define @t185 () (@list @t184 @t183 @t182)) % 35.64/35.83 (define @t186 () (or @t172 @t181)) % 35.64/35.83 (define @t187 () (tptp.app @t184 (tptp.cons @t1 @t183))) % 35.64/35.83 (define @t188 () (not (= @t2 (tptp.app @t187 (tptp.cons @t1 @t182))))) % 35.64/35.83 (define @t189 () (not (tptp.ssList @t182))) % 35.64/35.83 (define @t190 () (not (tptp.ssList @t183))) % 35.64/35.83 (define @t191 () (not (tptp.ssList @t184))) % 35.64/35.83 (define @t192 () (or @t191 @t190 @t189 @t188)) % 35.64/35.83 (define @t193 () (@list @t184 @t183 @t182)) % 35.64/35.83 (define @t194 () (or @t172 (forall @t193 @t192))) % 35.64/35.83 (define @t195 () (or @t172 @t192)) % 35.64/35.83 (define @t196 () (or @t172 @t191 @t190 @t189 @t188)) % 35.64/35.83 (define @t197 () (not (= @t1 @t1))) % 35.64/35.83 (define @t198 () (or @t172 @t197 @t191 @t190 @t189 @t188)) % 35.64/35.83 (define @t199 () (not (= @t2 (tptp.app @t187 (tptp.cons @t15 @t182))))) % 35.64/35.83 (define @t200 () (not @t39)) % 35.64/35.83 (define @t201 () (or @t42 @t200 @t42 @t191 @t190 @t189 @t199)) % 35.64/35.83 (define @t202 () (or @t200 @t42 @t191 @t190 @t189 @t199)) % 35.64/35.83 (define @t203 () (forall @t19 @t202)) % 35.64/35.83 (define @t204 () (forall @t193 @t203)) % 35.64/35.83 (define @t205 () (forall (@list @t184 @t183 @t182 @t15) @t202)) % 35.64/35.83 (define @t206 () (@list @t15 @t184 @t183 @t182)) % 35.64/35.83 (define @t207 () (or @t191 @t190 @t189 @t199)) % 35.64/35.83 (define @t208 () (or @t200 @t42 @t207)) % 35.64/35.83 (define @t209 () (forall @t206 @t208)) % 35.64/35.83 (define @t210 () (forall @t193 @t208)) % 35.64/35.83 (define @t211 () (forall @t193 @t207)) % 35.64/35.83 (define @t212 () (@var "BOUND_VARIABLE_8509" $$unsorted)) % 35.64/35.83 (define @t213 () (@var "BOUND_VARIABLE_8507" $$unsorted)) % 35.64/35.83 (define @t214 () (or @t200 @t42 @t211)) % 35.64/35.83 (define @t215 () (not (= @t2 (tptp.app (tptp.app @t13 (tptp.cons @t1 @t213)) (tptp.cons @t15 @t212))))) % 35.64/35.83 (define @t216 () (not (tptp.ssList @t212))) % 35.64/35.83 (define @t217 () (not (tptp.ssList @t213))) % 35.64/35.83 (define @t218 () (or @t154 @t217 @t216 @t215)) % 35.64/35.83 (define @t219 () (@list @t13 @t213 @t212)) % 35.64/35.83 (define @t220 () (forall @t219 @t218)) % 35.64/35.83 (define @t221 () (or @t200 @t42 @t220)) % 35.64/35.83 (define @t222 () (or @t42 @t220)) % 35.64/35.83 (define @t223 () (or @t217 @t216 @t215)) % 35.64/35.83 (define @t224 () (or @t154 @t223)) % 35.64/35.83 (define @t225 () (forall @t219 @t224)) % 35.64/35.83 (define @t226 () (@list @t213 @t212)) % 35.64/35.83 (define @t227 () (forall @t226 @t224)) % 35.64/35.83 (define @t228 () (forall @t226 @t223)) % 35.64/35.83 (define @t229 () (@var "BOUND_VARIABLE_8485" $$unsorted)) % 35.64/35.83 (define @t230 () (or @t154 @t228)) % 35.64/35.83 (define @t231 () (not (= @t2 (tptp.app @t32 (tptp.cons @t15 @t229))))) % 35.64/35.83 (define @t232 () (not (tptp.ssList @t229))) % 35.64/35.83 (define @t233 () (not @t37)) % 35.64/35.83 (define @t234 () (or @t233 @t232 @t231)) % 35.64/35.83 (define @t235 () (@list @t31 @t229)) % 35.64/35.83 (define @t236 () (forall @t235 @t234)) % 35.64/35.83 (define @t237 () (or @t154 @t236)) % 35.64/35.83 (define @t238 () (forall @t17 @t237)) % 35.64/35.83 (define @t239 () (or @t42 @t238)) % 35.64/35.83 (define @t240 () (or @t42 @t237)) % 35.64/35.83 (define @t241 () (or @t154 @t42 @t236)) % 35.64/35.83 (define @t242 () (or @t42 @t236)) % 35.64/35.83 (define @t243 () (or @t232 @t231)) % 35.64/35.83 (define @t244 () (or @t233 @t243)) % 35.64/35.83 (define @t245 () (forall @t235 @t244)) % 35.64/35.83 (define @t246 () (@list @t229)) % 35.64/35.83 (define @t247 () (forall @t246 @t244)) % 35.64/35.83 (define @t248 () (forall @t246 @t243)) % 35.64/35.83 (define @t249 () (or @t233 @t248)) % 35.64/35.83 (define @t250 () (= @t2 @t33)) % 35.64/35.83 (define @t251 () (not @t250)) % 35.64/35.83 (define @t252 () (not @t35)) % 35.64/35.83 (define @t253 () (or @t252 @t251)) % 35.64/35.83 (define @t254 () (forall @t36 @t253)) % 35.64/35.83 (define @t255 () (or @t233 @t254)) % 35.64/35.83 (define @t256 () (forall @t38 @t255)) % 35.64/35.83 (define @t257 () (or @t42 @t256)) % 35.64/35.83 (define @t258 () (or @t42 @t255)) % 35.64/35.83 (define @t259 () (or @t233 @t42 @t254)) % 35.64/35.83 (define @t260 () (or @t42 @t254)) % 35.64/35.83 (define @t261 () (or @t42 @t253)) % 35.64/35.83 (define @t262 () (or @t252 @t251 @t42)) % 35.64/35.83 (define @t263 () (=> @t250 @t42)) % 35.64/35.83 (define @t264 () (@var "BOUND_VARIABLE_11241" $$unsorted)) % 35.64/35.83 (define @t265 () (@var "BOUND_VARIABLE_11237" $$unsorted)) % 35.64/35.83 (define @t266 () (@var "BOUND_VARIABLE_11235" $$unsorted)) % 35.64/35.83 (define @t267 () (@var "BOUND_VARIABLE_11239" $$unsorted)) % 35.64/35.83 (define @t268 () (tptp.app (tptp.app (tptp.app @t267 (tptp.cons @t266 tptp.nil)) (tptp.cons @t265 tptp.nil)) @t264)) % 35.64/35.83 (define @t269 () (@var "BOUND_VARIABLE_11260" $$unsorted)) % 35.64/35.83 (define @t270 () (not (= tptp.nil @t269))) % 35.64/35.83 (define @t271 () (@var "BOUND_VARIABLE_11262" $$unsorted)) % 35.64/35.83 (define @t272 () (not @t118)) % 35.64/35.83 (define @t273 () (not (forall @t120 (or @t272 (= @t113 @t271) (not (tptp.memberP @t269 @t113)) (not (tptp.leq @t113 @t271)))))) % 35.64/35.83 (define @t274 () (not (tptp.memberP @t269 @t271))) % 35.64/35.83 (define @t275 () (tptp.cons @t271 tptp.nil)) % 35.64/35.83 (define @t276 () (not (tptp.ssItem @t271))) % 35.64/35.83 (define @t277 () (or @t276 (not (= @t268 @t275)) @t274 @t273)) % 35.64/35.83 (define @t278 () (and @t277 (or @t270 (not (= tptp.nil @t268))))) % 35.64/35.83 (define @t279 () (not (tptp.ssList @t269))) % 35.64/35.83 (define @t280 () (not (tptp.ssList @t264))) % 35.64/35.83 (define @t281 () (not (tptp.ssList @t267))) % 35.64/35.83 (define @t282 () (tptp.neq @t266 @t265)) % 35.64/35.83 (define @t283 () (not (tptp.ssItem @t265))) % 35.64/35.83 (define @t284 () (not (tptp.ssItem @t266))) % 35.64/35.83 (define @t285 () (not (tptp.ssList @t268))) % 35.64/35.83 (define @t286 () (or @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278)) % 35.64/35.83 (define @t287 () (@list @t266 @t265 @t267 @t264 @t269 @t271)) % 35.64/35.83 (define @t288 () (forall @t287 @t286)) % 35.64/35.83 (define @t289 () (@quantifiers_skolemize @t288 3)) % 35.64/35.83 (define @t290 () (@quantifiers_skolemize @t288 1)) % 35.64/35.83 (define @t291 () (tptp.cons @t290 tptp.nil)) % 35.64/35.83 (define @t292 () (@quantifiers_skolemize @t288 0)) % 35.64/35.83 (define @t293 () (tptp.cons @t292 tptp.nil)) % 35.64/35.83 (define @t294 () (@quantifiers_skolemize @t288 2)) % 35.64/35.83 (define @t295 () (tptp.app @t294 @t293)) % 35.64/35.83 (define @t296 () (tptp.app (tptp.app @t295 @t291) @t289)) % 35.64/35.83 (define @t297 () (not (= @t296 @t167))) % 35.64/35.83 (define @t298 () (or @t172 @t171 @t170 @t169 @t297)) % 35.64/35.83 (define @t299 () (forall @t174 @t298)) % 35.64/35.83 (define @t300 () (tptp.duplicatefreeP @t296)) % 35.64/35.83 (define @t301 () (= @t300 @t299)) % 35.64/35.83 (define @t302 () (tptp.ssList @t296)) % 35.64/35.83 (define @t303 () (not @t302)) % 35.64/35.83 (define @t304 () (or @t303 @t301)) % 35.64/35.83 (define @t305 () (not @t20)) % 35.64/35.83 (define @t306 () (forall @t11 (or @t305 @t175))) % 35.64/35.83 (define @t307 () (forall @t174 (or @t172 @t171 @t170 @t169 (not (= @t167 @t296))))) % 35.64/35.83 (define @t308 () (= @t300 @t307)) % 35.64/35.83 (define @t309 () (or @t303 @t308)) % 35.64/35.83 (define @t310 () (not (= @t268 tptp.nil))) % 35.64/35.83 (define @t311 () (or @t270 @t310)) % 35.64/35.83 (define @t312 () (and @t277 @t311)) % 35.64/35.83 (define @t313 () (not (= @t268 @t268))) % 35.64/35.83 (define @t314 () (or @t285 @t284 @t283 @t282 @t281 @t280 @t313 @t279 @t312)) % 35.64/35.83 (define @t315 () (not (= @t2 tptp.nil))) % 35.64/35.83 (define @t316 () (or @t276 (not (= @t2 @t275)) @t274 @t273)) % 35.64/35.83 (define @t317 () (and @t316 (or @t270 @t315))) % 35.64/35.83 (define @t318 () (not (= @t2 @t268))) % 35.64/35.83 (define @t319 () (or @t318 @t305 @t284 @t283 @t282 @t281 @t280 @t318 @t279 @t317)) % 35.64/35.83 (define @t320 () (or @t305 @t284 @t283 @t282 @t281 @t280 @t318 @t279 @t317)) % 35.64/35.83 (define @t321 () (forall @t11 @t320)) % 35.64/35.83 (define @t322 () (forall @t287 @t321)) % 35.64/35.83 (define @t323 () (forall (@list @t266 @t265 @t267 @t264 @t269 @t271 @t2) @t320)) % 35.64/35.83 (define @t324 () (@list @t2 @t266 @t265 @t267 @t264 @t269 @t271)) % 35.64/35.83 (define @t325 () (not (= @t269 tptp.nil))) % 35.64/35.83 (define @t326 () (or @t325 @t315)) % 35.64/35.83 (define @t327 () (and @t316 @t326)) % 35.64/35.83 (define @t328 () (or @t305 @t284 @t283 @t282 @t281 @t280 @t318 @t279 @t327)) % 35.64/35.83 (define @t329 () (or @t279 @t327)) % 35.64/35.83 (define @t330 () (or @t284 @t283 @t282 @t281 @t280 @t318)) % 35.64/35.83 (define @t331 () (or @t305 @t330 @t329)) % 35.64/35.83 (define @t332 () (forall @t324 @t331)) % 35.64/35.83 (define @t333 () (forall @t287 @t331)) % 35.64/35.83 (define @t334 () (forall (@list @t269 @t271) @t329)) % 35.64/35.83 (define @t335 () (@var "BOUND_VARIABLE_11210" $$unsorted)) % 35.64/35.83 (define @t336 () (forall (@list @t266 @t265 @t267 @t264) @t330)) % 35.64/35.83 (define @t337 () (@var "BOUND_VARIABLE_11022" $$unsorted)) % 35.64/35.83 (define @t338 () (@var "BOUND_VARIABLE_11020" $$unsorted)) % 35.64/35.83 (define @t339 () (@var "BOUND_VARIABLE_11018" $$unsorted)) % 35.64/35.83 (define @t340 () (or @t305 @t336 @t334)) % 35.64/35.83 (define @t341 () (not (= @t1 tptp.nil))) % 35.64/35.83 (define @t342 () (or @t341 @t315)) % 35.64/35.83 (define @t343 () (not (tptp.memberP @t1 @t113))) % 35.64/35.83 (define @t344 () (or (not (tptp.ssItem @t335)) (not (= @t2 (tptp.cons @t335 tptp.nil))) (not (tptp.memberP @t1 @t335)) (not (forall @t120 (or @t272 (= @t113 @t335) @t343 (not (tptp.leq @t113 @t335))))))) % 35.64/35.83 (define @t345 () (and @t344 @t342)) % 35.64/35.83 (define @t346 () (not @t24)) % 35.64/35.83 (define @t347 () (or @t346 @t345)) % 35.64/35.83 (define @t348 () (forall (@list @t1 @t335) @t347)) % 35.64/35.83 (define @t349 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t338 @t133) (tptp.cons @t339 tptp.nil)) @t337)))) % 35.64/35.83 (define @t350 () (not (tptp.ssList @t337))) % 35.64/35.83 (define @t351 () (not (tptp.ssList @t338))) % 35.64/35.83 (define @t352 () (tptp.neq @t31 @t339)) % 35.64/35.83 (define @t353 () (not (tptp.ssItem @t339))) % 35.64/35.83 (define @t354 () (not @t149)) % 35.64/35.83 (define @t355 () (or @t354 @t353 @t352 @t351 @t350 @t349)) % 35.64/35.83 (define @t356 () (@list @t31 @t339 @t338 @t337)) % 35.64/35.83 (define @t357 () (forall @t356 @t355)) % 35.64/35.83 (define @t358 () (or @t305 @t357 @t348)) % 35.64/35.83 (define @t359 () (or @t357 @t305 @t348)) % 35.64/35.83 (define @t360 () (@list @t335)) % 35.64/35.83 (define @t361 () (forall @t360 @t347)) % 35.64/35.83 (define @t362 () (forall @t360 @t342)) % 35.64/35.83 (define @t363 () (forall @t360 @t344)) % 35.64/35.83 (define @t364 () (@var "BOUND_VARIABLE_11179" $$unsorted)) % 35.64/35.83 (define @t365 () (@list @t364)) % 35.64/35.83 (define @t366 () (and @t363 @t362)) % 35.64/35.83 (define @t367 () (forall @t360 @t345)) % 35.64/35.83 (define @t368 () (or @t346 @t367)) % 35.64/35.83 (define @t369 () (and (forall (@list @t364) (or (not (tptp.ssItem @t364)) (not (= @t2 (tptp.cons @t364 tptp.nil))) (not (tptp.memberP @t1 @t364)) (not (forall @t120 (or @t272 (= @t113 @t364) @t343 (not (tptp.leq @t113 @t364))))))) @t342)) % 35.64/35.83 (define @t370 () (or @t346 @t369)) % 35.64/35.83 (define @t371 () (forall @t7 @t370)) % 35.64/35.83 (define @t372 () (or @t357 @t305 @t371)) % 35.64/35.83 (define @t373 () (or @t357 @t305 @t370)) % 35.64/35.83 (define @t374 () (or @t346 @t357 @t305 @t369)) % 35.64/35.83 (define @t375 () (or @t357 @t346 @t305 @t369)) % 35.64/35.83 (define @t376 () (@var "BOUND_VARIABLE_11144" $$unsorted)) % 35.64/35.83 (define @t377 () (@list @t376)) % 35.64/35.83 (define @t378 () (forall @t377 @t342)) % 35.64/35.83 (define @t379 () (not (forall @t120 (or @t272 (= @t113 @t376) @t343 (not (tptp.leq @t113 @t376)))))) % 35.64/35.83 (define @t380 () (not (tptp.memberP @t1 @t376))) % 35.64/35.83 (define @t381 () (tptp.cons @t376 tptp.nil)) % 35.64/35.83 (define @t382 () (not (tptp.ssItem @t376))) % 35.64/35.83 (define @t383 () (or @t382 (not (= @t2 @t381)) @t380 @t379)) % 35.64/35.83 (define @t384 () (forall @t377 @t383)) % 35.64/35.83 (define @t385 () (@list @t376)) % 35.64/35.83 (define @t386 () (and @t384 @t378)) % 35.64/35.83 (define @t387 () (and @t383 @t342)) % 35.64/35.83 (define @t388 () (forall @t377 @t387)) % 35.64/35.83 (define @t389 () (or @t305 @t388)) % 35.64/35.83 (define @t390 () (or @t305 @t387)) % 35.64/35.83 (define @t391 () (not (= @t2 @t2))) % 35.64/35.83 (define @t392 () (or @t305 @t391 @t387)) % 35.64/35.83 (define @t393 () (not (= @t15 tptp.nil))) % 35.64/35.83 (define @t394 () (or @t341 @t393)) % 35.64/35.83 (define @t395 () (or @t382 (not (= @t15 @t381)) @t380 @t379)) % 35.64/35.83 (define @t396 () (and @t395 @t394)) % 35.64/35.83 (define @t397 () (not @t18)) % 35.64/35.83 (define @t398 () (or @t152 @t397 @t152 @t396)) % 35.64/35.83 (define @t399 () (or @t397 @t152 @t396)) % 35.64/35.83 (define @t400 () (forall @t19 @t399)) % 35.64/35.83 (define @t401 () (forall @t377 @t400)) % 35.64/35.83 (define @t402 () (forall (@list @t376 @t15) @t399)) % 35.64/35.83 (define @t403 () (forall (@list @t15 @t376) @t399)) % 35.64/35.83 (define @t404 () (forall @t377 @t399)) % 35.64/35.83 (define @t405 () (forall @t377 @t394)) % 35.64/35.83 (define @t406 () (forall @t377 @t395)) % 35.64/35.83 (define @t407 () (@var "BOUND_VARIABLE_11113" $$unsorted)) % 35.64/35.83 (define @t408 () (@list @t407)) % 35.64/35.83 (define @t409 () (and @t406 @t405)) % 35.64/35.83 (define @t410 () (forall @t377 @t396)) % 35.64/35.83 (define @t411 () (or @t397 @t152 @t410)) % 35.64/35.83 (define @t412 () (and (forall (@list @t407) (or (not (tptp.ssItem @t407)) (not (= @t15 (tptp.cons @t407 tptp.nil))) (not (tptp.memberP @t1 @t407)) (not (forall @t120 (or @t272 (= @t113 @t407) @t343 (not (tptp.leq @t113 @t407))))))) @t394)) % 35.64/35.83 (define @t413 () (or @t397 @t152 @t412)) % 35.64/35.83 (define @t414 () (forall @t19 @t413)) % 35.64/35.83 (define @t415 () (or @t357 @t346 @t414)) % 35.64/35.83 (define @t416 () (or @t357 @t346 @t413)) % 35.64/35.83 (define @t417 () (or @t397 @t152 @t357 @t346 @t412)) % 35.64/35.83 (define @t418 () (or @t152 @t357 @t346 @t412)) % 35.64/35.83 (define @t419 () (@var "BOUND_VARIABLE_11067" $$unsorted)) % 35.64/35.83 (define @t420 () (@list @t419)) % 35.64/35.83 (define @t421 () (forall @t420 @t394)) % 35.64/35.83 (define @t422 () (not (tptp.leq @t113 @t419))) % 35.64/35.83 (define @t423 () (= @t113 @t419)) % 35.64/35.83 (define @t424 () (not (= @t15 (tptp.cons @t419 tptp.nil)))) % 35.64/35.83 (define @t425 () (not (tptp.ssItem @t419))) % 35.64/35.83 (define @t426 () (or @t425 @t424 (not (tptp.memberP @t1 @t419)) (not (forall @t120 (or @t272 @t423 @t343 @t422))))) % 35.64/35.83 (define @t427 () (forall @t420 @t426)) % 35.64/35.83 (define @t428 () (@list @t419)) % 35.64/35.83 (define @t429 () (and @t427 @t421)) % 35.64/35.83 (define @t430 () (and @t426 @t394)) % 35.64/35.83 (define @t431 () (forall @t420 @t430)) % 35.64/35.83 (define @t432 () (or @t346 @t431)) % 35.64/35.83 (define @t433 () (or @t346 @t430)) % 35.64/35.83 (define @t434 () (or @t346 @t197 @t430)) % 35.64/35.83 (define @t435 () (or (not (= @t13 tptp.nil)) @t393)) % 35.64/35.83 (define @t436 () (not @t115)) % 35.64/35.83 (define @t437 () (not (tptp.memberP @t13 @t419))) % 35.64/35.83 (define @t438 () (and (or @t425 @t424 @t437 (not (forall @t120 (or @t272 @t423 @t436 @t422)))) @t435)) % 35.64/35.83 (define @t439 () (or @t153 @t154 @t153 @t438)) % 35.64/35.83 (define @t440 () (or @t154 @t153 @t438)) % 35.64/35.83 (define @t441 () (forall @t17 @t440)) % 35.64/35.83 (define @t442 () (forall @t420 @t441)) % 35.64/35.83 (define @t443 () (forall (@list @t419 @t13) @t440)) % 35.64/35.83 (define @t444 () (@list @t13 @t419)) % 35.64/35.83 (define @t445 () (or @t272 (= @t419 @t113) @t436 @t422)) % 35.64/35.83 (define @t446 () (forall @t120 @t445)) % 35.64/35.83 (define @t447 () (not @t446)) % 35.64/35.83 (define @t448 () (or @t425 @t424 @t437 @t447)) % 35.64/35.83 (define @t449 () (and @t448 @t435)) % 35.64/35.83 (define @t450 () (or @t154 @t153 @t449)) % 35.64/35.83 (define @t451 () (forall @t444 @t450)) % 35.64/35.83 (define @t452 () (forall @t420 @t450)) % 35.64/35.83 (define @t453 () (forall @t420 @t435)) % 35.64/35.83 (define @t454 () (forall @t420 @t448)) % 35.64/35.83 (define @t455 () (and @t454 @t453)) % 35.64/35.83 (define @t456 () (forall @t420 @t449)) % 35.64/35.83 (define @t457 () (or @t154 @t153 @t456)) % 35.64/35.83 (define @t458 () (not @t114)) % 35.64/35.83 (define @t459 () (and (forall @t127 (or @t125 (not (= @t15 @t123)) @t122 (not (forall @t120 (or @t272 @t116 @t436 @t458))))) @t435)) % 35.64/35.83 (define @t460 () (or @t154 @t153 @t459)) % 35.64/35.83 (define @t461 () (forall @t17 @t460)) % 35.64/35.83 (define @t462 () (or @t152 @t357 @t461)) % 35.64/35.83 (define @t463 () (or @t152 @t357 @t460)) % 35.64/35.83 (define @t464 () (or @t154 @t153 @t152 @t357 @t459)) % 35.64/35.83 (define @t465 () (not @t117)) % 35.64/35.83 (define @t466 () (or @t272 @t465 @t436 @t458)) % 35.64/35.83 (define @t467 () (forall @t120 (not @t119))) % 35.64/35.83 (define @t468 () (not @t467)) % 35.64/35.83 (define @t469 () (or @t353 @t352 @t351 @t350 @t349)) % 35.64/35.83 (define @t470 () (or @t354 @t469)) % 35.64/35.83 (define @t471 () (forall @t356 @t470)) % 35.64/35.83 (define @t472 () (@list @t339 @t338 @t337)) % 35.64/35.83 (define @t473 () (forall @t472 @t470)) % 35.64/35.83 (define @t474 () (forall @t472 @t469)) % 35.64/35.83 (define @t475 () (@var "BOUND_VARIABLE_10996" $$unsorted)) % 35.64/35.83 (define @t476 () (@var "BOUND_VARIABLE_10994" $$unsorted)) % 35.64/35.83 (define @t477 () (or @t354 @t474)) % 35.64/35.83 (define @t478 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t476 @t133) @t132) @t475)))) % 35.64/35.83 (define @t479 () (not (tptp.ssList @t475))) % 35.64/35.83 (define @t480 () (not (tptp.ssList @t476))) % 35.64/35.83 (define @t481 () (not @t146)) % 35.64/35.83 (define @t482 () (or @t481 @t130 @t480 @t479 @t478)) % 35.64/35.83 (define @t483 () (@list @t30 @t476 @t475)) % 35.64/35.83 (define @t484 () (forall @t483 @t482)) % 35.64/35.83 (define @t485 () (or @t480 @t479 @t478)) % 35.64/35.83 (define @t486 () (or @t481 @t130 @t485)) % 35.64/35.83 (define @t487 () (forall @t483 @t486)) % 35.64/35.83 (define @t488 () (@list @t476 @t475)) % 35.64/35.83 (define @t489 () (forall @t488 @t486)) % 35.64/35.83 (define @t490 () (forall @t488 @t485)) % 35.64/35.83 (define @t491 () (@var "BOUND_VARIABLE_10975" $$unsorted)) % 35.64/35.83 (define @t492 () (or @t481 @t130 @t490)) % 35.64/35.83 (define @t493 () (not (= @t2 (tptp.app @t135 @t491)))) % 35.64/35.83 (define @t494 () (not (tptp.ssList @t491))) % 35.64/35.83 (define @t495 () (not @t142)) % 35.64/35.83 (define @t496 () (or @t495 @t494 @t493)) % 35.64/35.83 (define @t497 () (@list @t134 @t491)) % 35.64/35.83 (define @t498 () (forall @t497 @t496)) % 35.64/35.83 (define @t499 () (or @t481 @t130 @t498)) % 35.64/35.83 (define @t500 () (or @t130 @t498)) % 35.64/35.83 (define @t501 () (or @t494 @t493)) % 35.64/35.83 (define @t502 () (or @t495 @t501)) % 35.64/35.83 (define @t503 () (forall @t497 @t502)) % 35.64/35.83 (define @t504 () (@list @t491)) % 35.64/35.83 (define @t505 () (forall @t504 @t502)) % 35.64/35.83 (define @t506 () (forall @t504 @t501)) % 35.64/35.83 (define @t507 () (or @t495 @t506)) % 35.64/35.83 (define @t508 () (not (= @t2 @t136))) % 35.64/35.83 (define @t509 () (or @t138 @t508)) % 35.64/35.83 (define @t510 () (forall @t140 @t509)) % 35.64/35.83 (define @t511 () (or @t495 @t510)) % 35.64/35.83 (define @t512 () (forall @t144 @t511)) % 35.64/35.83 (define @t513 () (or @t130 @t512)) % 35.64/35.83 (define @t514 () (or @t130 @t511)) % 35.64/35.83 (define @t515 () (or @t495 @t130 @t510)) % 35.64/35.83 (define @t516 () (or @t130 @t510)) % 35.64/35.83 (define @t517 () (or @t130 @t509)) % 35.64/35.83 (define @t518 () (or @t138 @t508 @t130)) % 35.64/35.83 (define @t519 () (= tptp.nil @t296)) % 35.64/35.83 (define @t520 () (not @t519)) % 35.64/35.83 (define @t521 () (@quantifiers_skolemize @t288 4)) % 35.64/35.83 (define @t522 () (or (not (= tptp.nil @t521)) @t520)) % 35.64/35.83 (define @t523 () (@quantifiers_skolemize @t288 5)) % 35.64/35.83 (define @t524 () (tptp.cons @t523 tptp.nil)) % 35.64/35.83 (define @t525 () (= @t296 @t524)) % 35.64/35.83 (define @t526 () (not @t525)) % 35.64/35.83 (define @t527 () (tptp.ssItem @t523)) % 35.64/35.83 (define @t528 () (not @t527)) % 35.64/35.83 (define @t529 () (or @t528 @t526 (not (tptp.memberP @t521 @t523)) (not (forall @t120 (or @t272 (= @t113 @t523) (not (tptp.memberP @t521 @t113)) (not (tptp.leq @t113 @t523))))))) % 35.64/35.83 (define @t530 () (and @t529 @t522)) % 35.64/35.83 (define @t531 () (tptp.ssList @t289)) % 35.64/35.83 (define @t532 () (not @t531)) % 35.64/35.83 (define @t533 () (tptp.ssList @t294)) % 35.64/35.83 (define @t534 () (not @t533)) % 35.64/35.83 (define @t535 () (tptp.neq @t292 @t290)) % 35.64/35.83 (define @t536 () (tptp.ssItem @t290)) % 35.64/35.83 (define @t537 () (not @t536)) % 35.64/35.83 (define @t538 () (tptp.ssItem @t292)) % 35.64/35.83 (define @t539 () (not @t538)) % 35.64/35.83 (define @t540 () (or @t303 @t539 @t537 @t535 @t534 @t532 (not (tptp.ssList @t521)) @t530)) % 35.64/35.83 (define @t541 () (@list true)) % 35.64/35.83 (define @t542 () (@list @t540)) % 35.64/35.83 (define @t543 () (@list false false)) % 35.64/35.83 (define @t544 () (= @t2 @t82)) % 35.64/35.83 (define @t545 () (tptp.app tptp.nil @t289)) % 35.64/35.83 (define @t546 () (= @t289 @t545)) % 35.64/35.83 (define @t547 () (or @t532 @t546)) % 35.64/35.83 (define @t548 () (tptp.cons @t292 @t545)) % 35.64/35.83 (define @t549 () (@var "BOUND_VARIABLE_9439" $$unsorted)) % 35.64/35.83 (define @t550 () (@var "BOUND_VARIABLE_9441" $$unsorted)) % 35.64/35.83 (define @t551 () (= (tptp.cons @t550 (tptp.app @t549 @t2)) (tptp.app (tptp.cons @t550 @t549) @t2))) % 35.64/35.83 (define @t552 () (not (tptp.ssItem @t550))) % 35.64/35.83 (define @t553 () (not (tptp.ssList @t549))) % 35.64/35.83 (define @t554 () (or @t553 @t552 @t551)) % 35.64/35.83 (define @t555 () (or @t305 @t554)) % 35.64/35.83 (define @t556 () (forall (@list @t2 @t549 @t550) @t555)) % 35.64/35.83 (define @t557 () (@list @t549 @t550)) % 35.64/35.83 (define @t558 () (forall @t557 @t555)) % 35.64/35.83 (define @t559 () (forall @t557 @t554)) % 35.64/35.83 (define @t560 () (@var "BOUND_VARIABLE_9421" $$unsorted)) % 35.64/35.83 (define @t561 () (or @t305 @t559)) % 35.64/35.83 (define @t562 () (= (tptp.cons @t560 @t75) (tptp.app (tptp.cons @t560 @t1) @t2))) % 35.64/35.83 (define @t563 () (not (tptp.ssItem @t560))) % 35.64/35.83 (define @t564 () (or @t346 @t563 @t562)) % 35.64/35.83 (define @t565 () (@list @t1 @t560)) % 35.64/35.83 (define @t566 () (forall @t565 @t564)) % 35.64/35.83 (define @t567 () (or @t563 @t562)) % 35.64/35.83 (define @t568 () (or @t346 @t567)) % 35.64/35.83 (define @t569 () (forall @t565 @t568)) % 35.64/35.83 (define @t570 () (@list @t560)) % 35.64/35.83 (define @t571 () (forall @t570 @t568)) % 35.64/35.83 (define @t572 () (forall @t570 @t567)) % 35.64/35.83 (define @t573 () (@list @t15)) % 35.64/35.83 (define @t574 () (or @t346 @t572)) % 35.64/35.83 (define @t575 () (forall @t19 (or @t200 @t76))) % 35.64/35.83 (define @t576 () (= @t548 (tptp.app @t293 @t289))) % 35.64/35.83 (define @t577 () (not @t63)) % 35.64/35.83 (define @t578 () (or @t532 @t577 @t539 @t576)) % 35.64/35.83 (define @t579 () (@list false false false false)) % 35.64/35.83 (define @t580 () (@var "BOUND_VARIABLE_8205" $$unsorted)) % 35.64/35.83 (define @t581 () (= (tptp.neq @t2 @t580) (not (= @t2 @t580)))) % 35.64/35.83 (define @t582 () (not (tptp.ssItem @t580))) % 35.64/35.83 (define @t583 () (not @t9)) % 35.64/35.83 (define @t584 () (or @t582 @t581)) % 35.64/35.83 (define @t585 () (or @t583 @t584)) % 35.64/35.83 (define @t586 () (forall (@list @t2 @t580) @t585)) % 35.64/35.83 (define @t587 () (@list @t580)) % 35.64/35.83 (define @t588 () (forall @t587 @t585)) % 35.64/35.83 (define @t589 () (forall @t587 @t584)) % 35.64/35.83 (define @t590 () (@list @t1)) % 35.64/35.83 (define @t591 () (or @t583 @t589)) % 35.64/35.83 (define @t592 () (forall @t7 (or @t172 @t5))) % 35.64/35.83 (define @t593 () (= @t292 @t290)) % 35.64/35.83 (define @t594 () (not @t593)) % 35.64/35.83 (define @t595 () (= @t535 @t594)) % 35.64/35.83 (define @t596 () (or @t539 @t537 @t595)) % 35.64/35.83 (define @t597 () (@list false false false)) % 35.64/35.83 (define @t598 () (not @t595)) % 35.64/35.83 (define @t599 () (@list true false)) % 35.64/35.83 (define @t600 () (tptp.app @t291 @t289)) % 35.64/35.83 (define @t601 () (tptp.app @t295 @t600)) % 35.64/35.83 (define @t602 () (@var "BOUND_VARIABLE_10602" $$unsorted)) % 35.64/35.83 (define @t603 () (@var "BOUND_VARIABLE_10600" $$unsorted)) % 35.64/35.83 (define @t604 () (= (tptp.app (tptp.app @t2 @t603) @t602) (tptp.app @t2 (tptp.app @t603 @t602)))) % 35.64/35.83 (define @t605 () (not (tptp.ssList @t602))) % 35.64/35.83 (define @t606 () (not (tptp.ssList @t603))) % 35.64/35.83 (define @t607 () (or @t606 @t605 @t604)) % 35.64/35.83 (define @t608 () (or @t305 @t607)) % 35.64/35.83 (define @t609 () (forall (@list @t2 @t603 @t602) @t608)) % 35.64/35.83 (define @t610 () (@list @t603 @t602)) % 35.64/35.83 (define @t611 () (forall @t610 @t608)) % 35.64/35.83 (define @t612 () (forall @t610 @t607)) % 35.64/35.83 (define @t613 () (@var "BOUND_VARIABLE_10582" $$unsorted)) % 35.64/35.83 (define @t614 () (or @t305 @t612)) % 35.64/35.83 (define @t615 () (= (tptp.app @t70 @t613) (tptp.app @t2 (tptp.app @t1 @t613)))) % 35.64/35.83 (define @t616 () (not (tptp.ssList @t613))) % 35.64/35.83 (define @t617 () (or @t346 @t616 @t615)) % 35.64/35.83 (define @t618 () (@list @t1 @t613)) % 35.64/35.83 (define @t619 () (forall @t618 @t617)) % 35.64/35.83 (define @t620 () (or @t616 @t615)) % 35.64/35.83 (define @t621 () (or @t346 @t620)) % 35.64/35.83 (define @t622 () (forall @t618 @t621)) % 35.64/35.83 (define @t623 () (@list @t613)) % 35.64/35.83 (define @t624 () (forall @t623 @t621)) % 35.64/35.83 (define @t625 () (forall @t623 @t620)) % 35.64/35.83 (define @t626 () (or @t346 @t625)) % 35.64/35.83 (define @t627 () (forall @t19 (or @t397 @t103))) % 35.64/35.83 (define @t628 () (@var "BOUND_VARIABLE_9158" $$unsorted)) % 35.64/35.83 (define @t629 () (tptp.ssList (tptp.cons @t628 @t2))) % 35.64/35.83 (define @t630 () (not (tptp.ssItem @t628))) % 35.64/35.83 (define @t631 () (or @t630 @t629)) % 35.64/35.83 (define @t632 () (or @t305 @t631)) % 35.64/35.83 (define @t633 () (forall (@list @t2 @t628) @t632)) % 35.64/35.83 (define @t634 () (@list @t628)) % 35.64/35.83 (define @t635 () (forall @t634 @t632)) % 35.64/35.83 (define @t636 () (forall @t634 @t631)) % 35.64/35.83 (define @t637 () (or @t305 @t636)) % 35.64/35.83 (define @t638 () (forall @t7 (or @t172 @t59))) % 35.64/35.83 (define @t639 () (tptp.ssList @t291)) % 35.64/35.83 (define @t640 () (or @t577 @t537 @t639)) % 35.64/35.83 (define @t641 () (@var "BOUND_VARIABLE_9402" $$unsorted)) % 35.64/35.83 (define @t642 () (tptp.ssList (tptp.app @t2 @t641))) % 35.64/35.83 (define @t643 () (not (tptp.ssList @t641))) % 35.64/35.83 (define @t644 () (or @t643 @t642)) % 35.64/35.83 (define @t645 () (or @t305 @t644)) % 35.64/35.83 (define @t646 () (forall (@list @t2 @t641) @t645)) % 35.64/35.83 (define @t647 () (@list @t641)) % 35.64/35.83 (define @t648 () (forall @t647 @t645)) % 35.64/35.83 (define @t649 () (forall @t647 @t644)) % 35.64/35.83 (define @t650 () (or @t305 @t649)) % 35.64/35.83 (define @t651 () (forall @t7 (or @t346 @t71))) % 35.64/35.83 (define @t652 () (tptp.ssList @t293)) % 35.64/35.83 (define @t653 () (tptp.ssList @t295)) % 35.64/35.83 (define @t654 () (not @t652)) % 35.64/35.83 (define @t655 () (or @t534 @t654 @t653)) % 35.64/35.83 (define @t656 () (= @t296 @t601)) % 35.64/35.83 (define @t657 () (not @t639)) % 35.64/35.83 (define @t658 () (not @t653)) % 35.64/35.83 (define @t659 () (or @t658 @t657 @t532 @t656)) % 35.64/35.83 (define @t660 () (tptp.app @t295 (tptp.cons @t292 @t289))) % 35.64/35.83 (define @t661 () (= @t296 @t660)) % 35.64/35.83 (define @t662 () (not @t661)) % 35.64/35.83 (define @t663 () (or @t539 @t534 @t577 @t532 @t662)) % 35.64/35.83 (define @t664 () (not @t663)) % 35.64/35.83 (define @t665 () (not (= @t660 @t296))) % 35.64/35.83 (define @t666 () (or @t539 @t534 @t577 @t532 @t665)) % 35.64/35.83 (define @t667 () (not @t300)) % 35.64/35.83 (define @t668 () (not @t101)) % 35.64/35.83 (define @t669 () (not @t667)) % 35.64/35.83 (define @t670 () (@list @t529)) % 35.64/35.83 (define @t671 () (tptp.duplicatefreeP @t524)) % 35.64/35.83 (define @t672 () (or @t528 @t671)) % 35.64/35.83 (define @t673 () (not @t671)) % 35.64/35.83 (define @t674 () (and @t667 @t525 @t671)) % 35.64/35.83 (assume @p1 @t12) % 35.64/35.83 (assume @p2 (exists @t11 (and @t9 (exists @t7 (and @t6 @t4))))) % 35.64/35.83 (assume @p3 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t19 (and @t18 (exists @t17 (and @t16 (= (tptp.app @t15 @t14) @t2))))))))))) % 35.64/35.83 (assume @p4 (forall @t11 (=> @t20 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t21 @t2))))))) % 35.64/35.83 (assume @p5 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t23 (exists @t19 (and @t18 (= @t22 @t2))))))))) % 35.64/35.83 (assume @p6 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t26 (exists @t19 (and @t18 (= @t25 @t2))))))))) % 35.64/35.83 (assume @p7 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t27 (exists @t19 (and @t18 (exists @t17 (and @t16 (= (tptp.app @t25 @t13) @t2))))))))))) % 35.64/35.83 (assume @p8 (forall @t11 (=> @t20 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (=> @t34 (not (and @t29 @t28))))))))))))))))) % 35.64/35.83 (assume @p9 (forall @t11 (=> @t20 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (=> @t34 (or @t29 @t28)))))))))))))))) % 35.64/35.83 (assume @p10 (forall @t11 (=> @t20 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (=> @t34 (or @t40 (tptp.lt @t15 @t1))))))))))))))))) % 35.64/35.83 (assume @p11 (forall @t11 (=> @t20 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (=> @t34 @t29))))))))))))))) % 35.64/35.83 (assume @p12 (forall @t11 (=> @t20 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (=> @t34 @t40))))))))))))))) % 35.64/35.83 (assume @p13 @t57) % 35.64/35.83 (assume @p14 (forall @t11 (=> @t20 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t39 (forall @t17 (=> @t16 (forall @t38 (=> @t37 (=> (= (tptp.app @t13 (tptp.cons @t1 (tptp.cons @t15 @t31))) @t2) @t41))))))))))))) % 35.64/35.83 (assume @p15 (forall @t11 (=> @t20 (forall @t7 (=> @t24 @t5))))) % 35.64/35.83 (assume @p16 @t62) % 35.64/35.83 (assume @p17 @t63) % 35.64/35.83 (assume @p18 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= @t58 @t2))))))) % 35.64/35.83 (assume @p19 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t39 (forall @t17 (=> (tptp.ssItem @t13) (=> (= (tptp.cons @t15 @t2) (tptp.cons @t13 @t1)) (and (= @t15 @t13) @t64))))))))))) % 35.64/35.83 (assume @p20 (forall @t11 (=> @t20 (or @t66 (exists @t7 (and @t24 (exists @t19 (and @t39 (= @t65 @t2))))))))) % 35.64/35.83 (assume @p21 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= tptp.nil @t58))))))) % 35.64/35.83 (assume @p22 (forall @t11 (=> @t20 (=> @t68 (tptp.ssItem @t67))))) % 35.64/35.83 (assume @p23 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.hd @t58) @t1)))))) % 35.64/35.83 (assume @p24 (forall @t11 (=> @t20 (=> @t68 (tptp.ssList @t69))))) % 35.64/35.83 (assume @p25 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.tl @t58) @t2)))))) % 35.64/35.83 (assume @p26 @t74) % 35.64/35.83 (assume @p27 @t81) % 35.64/35.83 (assume @p28 @t84) % 35.64/35.83 (assume @p29 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t86 @t85) @t3)))))) % 35.64/35.83 (assume @p30 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t86 @t29) (tptp.leq @t2 @t15))))))))) % 35.64/35.83 (assume @p31 (forall @t11 (=> @t9 (tptp.leq @t2 @t2)))) % 35.64/35.83 (assume @p32 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t87 @t85)))))) % 35.64/35.83 (assume @p33 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t89 (not @t88))))))) % 35.64/35.83 (assume @p34 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t89 @t40) @t90)))))))) % 35.64/35.83 (assume @p35 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t91 @t88)))))) % 35.64/35.83 (assume @p36 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (= (tptp.memberP @t22 @t2) (or (tptp.memberP @t1 @t2) @t92))))))))) % 35.64/35.83 (assume @p37 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t15) @t2) (or @t3 @t92))))))))) % 35.64/35.83 (assume @p38 (forall @t11 (=> @t9 (not (tptp.memberP tptp.nil @t2))))) % 35.64/35.83 (assume @p39 (not (tptp.singletonP tptp.nil))) % 35.64/35.83 (assume @p40 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t23 (tptp.frontsegP @t1 @t15)) (tptp.frontsegP @t2 @t15))))))))) % 35.64/35.83 (assume @p41 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t23 (tptp.frontsegP @t1 @t2)) @t3)))))) % 35.64/35.83 (assume @p42 (forall @t11 (=> @t20 (tptp.frontsegP @t2 @t2)))) % 35.64/35.83 (assume @p43 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> @t23 (tptp.frontsegP (tptp.app @t2 @t15) @t1))))))))) % 35.64/35.83 (assume @p44 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t18 (forall @t17 (=> @t16 (= (tptp.frontsegP (tptp.cons @t2 @t15) @t14) (and @t3 (tptp.frontsegP @t15 @t13)))))))))))) % 35.64/35.83 (assume @p45 (forall @t11 (=> @t20 (tptp.frontsegP @t2 tptp.nil)))) % 35.64/35.83 (assume @p46 (forall @t11 (=> @t20 (= (tptp.frontsegP tptp.nil @t2) @t66)))) % 35.64/35.83 (assume @p47 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t26 (tptp.rearsegP @t1 @t15)) (tptp.rearsegP @t2 @t15))))))))) % 35.64/35.83 (assume @p48 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t26 (tptp.rearsegP @t1 @t2)) @t3)))))) % 35.64/35.83 (assume @p49 (forall @t11 (=> @t20 (tptp.rearsegP @t2 @t2)))) % 35.64/35.83 (assume @p50 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> @t26 (tptp.rearsegP @t93 @t1))))))))) % 35.64/35.83 (assume @p51 (forall @t11 (=> @t20 (tptp.rearsegP @t2 tptp.nil)))) % 35.64/35.83 (assume @p52 (forall @t11 (=> @t20 (= (tptp.rearsegP tptp.nil @t2) @t66)))) % 35.64/35.83 (assume @p53 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t27 (tptp.segmentP @t1 @t15)) (tptp.segmentP @t2 @t15))))))))) % 35.64/35.83 (assume @p54 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t27 (tptp.segmentP @t1 @t2)) @t3)))))) % 35.64/35.83 (assume @p55 (forall @t11 (=> @t20 (tptp.segmentP @t2 @t2)))) % 35.64/35.83 (assume @p56 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (forall @t17 (=> @t16 (=> @t27 (tptp.segmentP (tptp.app @t93 @t13) @t1))))))))))) % 35.64/35.83 (assume @p57 (forall @t11 (=> @t20 (tptp.segmentP @t2 tptp.nil)))) % 35.64/35.83 (assume @p58 (forall @t11 (=> @t20 (= (tptp.segmentP tptp.nil @t2) @t66)))) % 35.64/35.83 (assume @p59 (forall @t11 (=> @t9 (tptp.cyclefreeP @t94)))) % 35.64/35.83 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 35.64/35.83 (assume @p61 (forall @t11 (=> @t9 (tptp.totalorderP @t94)))) % 35.64/35.83 (assume @p62 (tptp.totalorderP tptp.nil)) % 35.64/35.83 (assume @p63 (forall @t11 (=> @t9 (tptp.strictorderP @t94)))) % 35.64/35.83 (assume @p64 (tptp.strictorderP tptp.nil)) % 35.64/35.83 (assume @p65 (forall @t11 (=> @t9 (tptp.totalorderedP @t94)))) % 35.64/35.83 (assume @p66 (tptp.totalorderedP tptp.nil)) % 35.64/35.83 (assume @p67 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t98) (or @t96 (and @t97 (tptp.totalorderedP @t1) (tptp.leq @t2 @t95))))))))) % 35.64/35.83 (assume @p68 (forall @t11 (=> @t9 (tptp.strictorderedP @t94)))) % 35.64/35.83 (assume @p69 (tptp.strictorderedP tptp.nil)) % 35.64/35.83 (assume @p70 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t98) (or @t96 (and @t97 (tptp.strictorderedP @t1) (tptp.lt @t2 @t95))))))))) % 35.64/35.83 (assume @p71 @t100) % 35.64/35.83 (assume @p72 @t101) % 35.64/35.83 (assume @p73 (forall @t11 (=> @t9 (tptp.equalelemsP @t94)))) % 35.64/35.83 (assume @p74 (tptp.equalelemsP tptp.nil)) % 35.64/35.83 (assume @p75 (forall @t11 (=> @t20 (=> @t68 (exists @t7 (and @t6 (= @t67 @t1))))))) % 35.64/35.83 (assume @p76 (forall @t11 (=> @t20 (=> @t68 (exists @t7 (and @t24 (= @t69 @t1))))))) % 35.64/35.83 (assume @p77 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t97 @t68 (= @t95 @t67) (= (tptp.tl @t1) @t69)) @t64)))))) % 35.64/35.83 (assume @p78 (forall @t11 (=> @t20 (=> @t68 (= (tptp.cons @t67 @t69) @t2))))) % 35.64/35.83 (assume @p79 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (= @t25 @t70) @t102)))))))) % 35.64/35.83 (assume @p80 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (= @t22 @t75) @t102)))))))) % 35.64/35.83 (assume @p81 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= @t58 (tptp.app @t21 @t2))))))) % 35.64/35.83 (assume @p82 @t108) % 35.64/35.83 (assume @p83 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= (= tptp.nil @t70) (and @t96 @t66))))))) % 35.64/35.83 (assume @p84 (forall @t11 (=> @t20 (= (tptp.app @t2 tptp.nil) @t2)))) % 35.64/35.83 (assume @p85 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> @t68 (= (tptp.hd @t70) @t67))))))) % 35.64/35.83 (assume @p86 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> @t68 (= (tptp.tl @t70) (tptp.app @t69 @t1)))))))) % 35.64/35.83 (assume @p87 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t87 (tptp.geq @t1 @t2)) @t3)))))) % 35.64/35.83 (assume @p88 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t87 (tptp.geq @t1 @t15)) (tptp.geq @t2 @t15))))))))) % 35.64/35.83 (assume @p89 (forall @t11 (=> @t9 (tptp.geq @t2 @t2)))) % 35.64/35.83 (assume @p90 (forall @t11 (=> @t9 (not (tptp.lt @t2 @t2))))) % 35.64/35.83 (assume @p91 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t86 @t40) @t90)))))))) % 35.64/35.83 (assume @p92 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t86 (or @t3 @t89))))))) % 35.64/35.83 (assume @p93 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t89 (and @t4 @t86))))))) % 35.64/35.83 (assume @p94 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t91 (not (tptp.gt @t1 @t2)))))))) % 35.64/35.83 (assume @p95 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t91 (tptp.gt @t1 @t15)) (tptp.gt @t2 @t15))))))))) % 35.64/35.83 (assume @p96 @t163) % 35.64/35.83 (assume @p97 true) % 35.64/35.83 (step @p98 :rule bool-impl-elim :args (@t20 @t175)) % 35.64/35.83 (step @p99 :rule cong :premises (@p98) :args ((forall @t11 (=> @t20 @t175)))) % 35.64/35.83 (step @p100 :rule aci_norm :args ((= @t177 @t173))) % 35.64/35.83 (step @p101 :rule cong :premises (@p100) :args (@t178)) % 35.64/35.83 (step @p102 :rule quant-merge-prenex :args ((= (forall @t7 @t180) @t178))) % 35.64/35.83 (step @p103 :rule alpha_equiv :args (@t181 (@list @t166 @t165 @t164) @t185)) % 35.64/35.83 (step @p104 :rule refl :args (@t172)) % 35.64/35.83 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t186)) % 35.64/35.83 (step @p106 :rule quant-miniscope-or :args ((= @t180 @t186))) % 35.64/35.83 (step @p107 :rule trans :premises (@p106 @p105)) % 35.64/35.83 (step @p108 :rule symm :premises (@p107)) % 35.64/35.83 (step @p109 :rule cong :premises (@p108) :args ((forall @t7 @t194))) % 35.64/35.83 (step @p110 :rule trans :premises (@p109 @p102)) % 35.64/35.83 (step @p111 :rule trans :premises (@p110 @p101)) % 35.64/35.83 (step @p112 :rule aci_norm :args ((= (or @t172 @t194) @t194))) % 35.64/35.83 (step @p113 :rule bool-impl-elim :args (@t6 @t194)) % 35.64/35.83 (step @p114 :rule trans :premises (@p113 @p112)) % 35.64/35.83 (step @p115 :rule cong :premises (@p114) :args ((forall @t7 (=> @t6 @t194)))) % 35.64/35.83 (step @p116 :rule trans :premises (@p115 @p111)) % 35.64/35.83 (step @p117 :rule quant-miniscope-or :args ((= (forall @t193 @t195) @t194))) % 35.64/35.83 (step @p118 :rule aci_norm :args ((= @t196 @t195))) % 35.64/35.83 (step @p119 :rule cong :premises (@p118) :args ((forall @t193 @t196))) % 35.64/35.83 (step @p120 :rule trans :premises (@p119 @p117)) % 35.64/35.83 (step @p121 :rule aci_norm :args ((= (or @t172 false @t191 @t190 @t189 @t188) @t196))) % 35.64/35.83 (step @p122 :rule refl :args (@t188)) % 35.64/35.83 (step @p123 :rule refl :args (@t189)) % 35.64/35.83 (step @p124 :rule refl :args (@t190)) % 35.64/35.83 (step @p125 :rule refl :args (@t191)) % 35.64/35.83 (step @p126 :rule evaluate :args ((not true))) % 35.64/35.83 (step @p127 :rule eq-refl :args (@t1)) % 35.64/35.83 (step @p128 :rule cong :premises (@p127) :args (@t197)) % 35.64/35.83 (step @p129 :rule trans :premises (@p128 @p126)) % 35.64/35.83 (step @p130 :rule refl :args (@t172)) % 35.64/35.83 (step @p131 :rule nary_cong :premises (@p130 @p129 @p125 @p124 @p123 @p122) :args (@t198)) % 35.64/35.83 (step @p132 :rule trans :premises (@p131 @p121)) % 35.64/35.83 (step @p133 :rule cong :premises (@p132) :args ((forall @t193 @t198))) % 35.64/35.83 (step @p134 :rule trans :premises (@p133 @p120)) % 35.64/35.83 (step @p135 :rule quant-var-elim-eq :args ((= (forall @t19 (or (not (= @t15 @t1)) @t200 @t42 @t191 @t190 @t189 @t199)) @t198))) % 35.64/35.83 (step @p136 :rule refl :args (@t199)) % 35.64/35.83 (step @p137 :rule refl :args (@t189)) % 35.64/35.83 (step @p138 :rule refl :args (@t190)) % 35.64/35.83 (step @p139 :rule refl :args (@t191)) % 35.64/35.83 (step @p140 :rule refl :args (@t42)) % 35.64/35.83 (step @p141 :rule refl :args (@t200)) % 35.64/35.83 (step @p142 :rule eq-symm :args (@t1 @t15)) % 35.64/35.83 (step @p143 :rule cong :premises (@p142) :args (@t42)) % 35.64/35.83 (step @p144 :rule nary_cong :premises (@p143 @p141 @p140 @p139 @p138 @p137 @p136) :args (@t201)) % 35.64/35.83 (step @p145 :rule aci_norm :args ((= @t202 @t201))) % 35.64/35.83 (step @p146 :rule trans :premises (@p145 @p144)) % 35.64/35.83 (step @p147 :rule cong :premises (@p146) :args (@t203)) % 35.64/35.83 (step @p148 :rule trans :premises (@p147 @p135)) % 35.64/35.83 (step @p149 :rule cong :premises (@p148) :args (@t204)) % 35.64/35.83 (step @p150 :rule quant-merge-prenex :args ((= @t204 @t205))) % 35.64/35.83 (step @p151 :rule symm :premises (@p150)) % 35.64/35.83 (step @p152 :rule quant_var_reordering :args ((= (forall @t206 @t202) @t205))) % 35.64/35.83 (step @p153 :rule trans :premises (@p152 @p151 @p149)) % 35.64/35.83 (step @p154 :rule trans :premises (@p153 @p134)) % 35.64/35.83 (step @p155 :rule aci_norm :args ((= @t208 @t202))) % 35.64/35.83 (step @p156 :rule cong :premises (@p155) :args (@t209)) % 35.64/35.83 (step @p157 :rule trans :premises (@p156 @p154)) % 35.64/35.83 (step @p158 :rule quant-merge-prenex :args ((= (forall @t19 @t210) @t209))) % 35.64/35.83 (step @p159 :rule alpha_equiv :args (@t211 @t185 (@list @t13 @t213 @t212))) % 35.64/35.83 (step @p160 :rule nary_cong :premises (@p141 @p140 @p159) :args (@t214)) % 35.64/35.83 (step @p161 :rule quant-miniscope-or :args ((= @t210 @t214))) % 35.64/35.83 (step @p162 :rule trans :premises (@p161 @p160)) % 35.64/35.83 (step @p163 :rule symm :premises (@p162)) % 35.64/35.83 (step @p164 :rule cong :premises (@p163) :args ((forall @t19 @t221))) % 35.64/35.83 (step @p165 :rule trans :premises (@p164 @p158)) % 35.64/35.83 (step @p166 :rule trans :premises (@p165 @p157)) % 35.64/35.83 (step @p167 :rule aci_norm :args ((= (or @t200 @t222) @t221))) % 35.64/35.83 (step @p168 :rule bool-impl-elim :args (@t39 @t222)) % 35.64/35.83 (step @p169 :rule trans :premises (@p168 @p167)) % 35.64/35.83 (step @p170 :rule cong :premises (@p169) :args ((forall @t19 (=> @t39 @t222)))) % 35.64/35.83 (step @p171 :rule trans :premises (@p170 @p166)) % 35.64/35.83 (step @p172 :rule aci_norm :args ((= @t224 @t218))) % 35.64/35.83 (step @p173 :rule cong :premises (@p172) :args (@t225)) % 35.64/35.83 (step @p174 :rule quant-merge-prenex :args ((= (forall @t17 @t227) @t225))) % 35.64/35.83 (step @p175 :rule alpha_equiv :args (@t228 (@list @t213 @t212) (@list @t31 @t229))) % 35.64/35.83 (step @p176 :rule refl :args (@t154)) % 35.64/35.83 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t230)) % 35.64/35.83 (step @p178 :rule quant-miniscope-or :args ((= @t227 @t230))) % 35.64/35.83 (step @p179 :rule trans :premises (@p178 @p177)) % 35.64/35.83 (step @p180 :rule symm :premises (@p179)) % 35.64/35.83 (step @p181 :rule cong :premises (@p180) :args (@t238)) % 35.64/35.83 (step @p182 :rule trans :premises (@p181 @p174)) % 35.64/35.83 (step @p183 :rule trans :premises (@p182 @p173)) % 35.64/35.83 (step @p184 :rule refl :args (@t42)) % 35.64/35.83 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t239)) % 35.64/35.83 (step @p186 :rule quant-miniscope-or :args ((= (forall @t17 @t240) @t239))) % 35.64/35.83 (step @p187 :rule aci_norm :args ((= @t241 @t240))) % 35.64/35.83 (step @p188 :rule cong :premises (@p187) :args ((forall @t17 @t241))) % 35.64/35.83 (step @p189 :rule trans :premises (@p188 @p186)) % 35.64/35.83 (step @p190 :rule trans :premises (@p189 @p185)) % 35.64/35.83 (step @p191 :rule aci_norm :args ((= (or @t154 @t242) @t241))) % 35.64/35.83 (step @p192 :rule bool-impl-elim :args (@t16 @t242)) % 35.64/35.83 (step @p193 :rule trans :premises (@p192 @p191)) % 35.64/35.83 (step @p194 :rule cong :premises (@p193) :args ((forall @t17 (=> @t16 @t242)))) % 35.64/35.83 (step @p195 :rule trans :premises (@p194 @p190)) % 35.64/35.83 (step @p196 :rule aci_norm :args ((= @t244 @t234))) % 35.64/35.83 (step @p197 :rule cong :premises (@p196) :args (@t245)) % 35.64/35.83 (step @p198 :rule quant-merge-prenex :args ((= (forall @t38 @t247) @t245))) % 35.64/35.83 (step @p199 :rule alpha_equiv :args (@t248 (@list @t229) (@list @t30))) % 35.64/35.83 (step @p200 :rule refl :args (@t233)) % 35.64/35.83 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t249)) % 35.64/35.83 (step @p202 :rule quant-miniscope-or :args ((= @t247 @t249))) % 35.64/35.83 (step @p203 :rule trans :premises (@p202 @p201)) % 35.64/35.83 (step @p204 :rule symm :premises (@p203)) % 35.64/35.83 (step @p205 :rule cong :premises (@p204) :args (@t256)) % 35.64/35.83 (step @p206 :rule trans :premises (@p205 @p198)) % 35.64/35.83 (step @p207 :rule trans :premises (@p206 @p197)) % 35.64/35.83 (step @p208 :rule nary_cong :premises (@p184 @p207) :args (@t257)) % 35.64/35.83 (step @p209 :rule quant-miniscope-or :args ((= (forall @t38 @t258) @t257))) % 35.64/35.83 (step @p210 :rule aci_norm :args ((= @t259 @t258))) % 35.64/35.83 (step @p211 :rule cong :premises (@p210) 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35.64/35.84 (step @p887 :rule symm :premises (@p886)) % 35.64/35.84 (step @p888 :rule trans :premises (@p887 @p885 @p883)) % 35.64/35.84 (step @p889 false :rule eq_resolve :premises (@p888 @p882)) % 35.64/35.84 (step-pop @p967 :rule scope :premises (@p889)) % 35.64/35.84 (step-pop @p968 :rule scope :premises (@p967)) % 35.64/35.84 (step-pop @p969 :rule scope :premises (@p968)) % 35.64/35.84 (step @p890 :rule process_scope :premises (@p969) :args (false)) % 35.64/35.84 (step @p894 :rule not_and :premises (@p890)) % 35.64/35.84 (step @p895 :rule eq_resolve :premises (@p894 @p878)) % 35.64/35.84 (step @p896 :rule chain_m_resolution :premises (@p895 @p72 @p874) :args (@t520 (@list false true) (@list @t101 @t300))) % 35.64/35.84 (step @p897 :rule bool-double-not-elim :args (@t519)) % 35.64/35.84 (step @p898 :rule refl :args (@t522)) % 35.64/35.84 (step @p899 :rule nary_cong :premises (@p898 @p897) :args ((or @t522 (not @t520)))) % 35.64/35.84 (step @p900 :rule cnf_or_neg :args (@t522 1)) % 35.64/35.84 (step @p901 :rule eq_resolve :premises (@p900 @p899)) % 35.64/35.84 (step @p902 :rule reordering :premises (@p901) :args ((or @t519 @t522))) % 35.64/35.84 (step @p903 :rule chain_m_resolution :premises (@p902 @p896) :args (@t522 @t541 (@list @t519))) % 35.64/35.84 (step @p904 :rule cnf_or_neg :args (@t540 7)) % 35.64/35.84 (step @p905 :rule chain_m_resolution :premises (@p904 @p623) :args ((not @t530) @t541 @t542)) % 35.64/35.84 (step @p906 :rule cnf_and_neg :args (@t530)) % 35.64/35.84 (step @p907 :rule chain_m_resolution :premises (@p906 @p905 @p903) :args ((not @t529) @t599 (@list @t530 @t522))) % 35.64/35.84 (step @p908 :rule bool-double-not-elim :args (@t525)) % 35.64/35.84 (step @p909 :rule refl :args (@t529)) % 35.64/35.84 (step @p910 :rule nary_cong :premises (@p909 @p908) :args ((or @t529 (not @t526)))) % 35.64/35.84 (step @p911 :rule cnf_or_neg :args (@t529 1)) % 35.64/35.84 (step @p912 :rule eq_resolve :premises (@p911 @p910)) % 35.64/35.84 (step @p913 :rule reordering :premises (@p912) :args ((or @t525 @t529))) % 35.64/35.84 (step @p914 :rule chain_m_resolution :premises (@p913 @p907) :args (@t525 @t541 @t670)) % 35.64/35.84 (step @p915 :rule bool-impl-elim :args (@t9 @t99)) % 35.64/35.84 (step @p916 :rule cong :premises (@p915) :args (@t100)) % 35.64/35.84 (step @p917 :rule eq_resolve :premises (@p71 @p916)) % 35.64/35.84 (step @p918 :rule instantiate :premises (@p917) :args ((@list @t523))) % 35.64/35.84 (step @p919 :rule bool-double-not-elim :args (@t527)) % 35.64/35.84 (step @p920 :rule nary_cong :premises (@p909 @p919) :args ((or @t529 (not @t528)))) % 35.64/35.84 (step @p921 :rule cnf_or_neg :args (@t529 0)) % 35.64/35.84 (step @p922 :rule eq_resolve :premises (@p921 @p920)) % 35.64/35.84 (step @p923 :rule reordering :premises (@p922) :args ((or @t527 @t529))) % 35.64/35.84 (step @p924 :rule chain_m_resolution :premises (@p923 @p907) :args (@t527 @t541 @t670)) % 35.64/35.84 (step @p925 :rule cnf_or_pos :args (@t672)) % 35.64/35.84 (step @p926 :rule reordering :premises (@p925) :args ((or @t528 @t671 (not @t672)))) % 35.64/35.84 (step @p927 :rule chain_m_resolution :premises (@p926 @p924 @p918) :args (@t671 @t543 (@list @t527 @t672))) % 35.64/35.84 (step @p928 :rule refl :args (@t673)) % 35.64/35.84 (step @p929 :rule refl :args (@t526)) % 35.64/35.84 (step @p930 :rule nary_cong :premises (@p929 @p928 @p875) :args ((or @t526 @t673 @t669))) % 35.64/35.84 (assume-push @p970 @t667) % 35.64/35.84 (assume-push @p971 @t525) % 35.64/35.84 (assume-push @p972 @t671) % 35.64/35.84 (step @p934 :rule evaluate :args ((= true false))) % 35.64/35.84 (step @p935 :rule false_intro :premises (@p970)) % 35.64/35.84 (step @p936 :rule symm :premises (@p971)) % 35.64/35.84 (step @p937 :rule cong :premises (@p936) :args (@t671)) % 35.64/35.84 (step @p938 :rule true_intro :premises (@p972)) % 35.64/35.84 (step @p939 :rule symm :premises (@p938)) % 35.64/35.84 (step @p940 :rule trans :premises (@p939 @p937 @p935)) % 35.64/35.84 (step @p941 false :rule eq_resolve :premises (@p940 @p934)) % 35.64/35.84 (step-pop @p973 :rule scope :premises (@p941)) % 35.64/35.84 (step-pop @p974 :rule scope :premises (@p973)) % 35.64/35.84 (step-pop @p975 :rule scope :premises (@p974)) % 35.64/35.84 (step @p942 :rule process_scope :premises (@p975) :args (false)) % 35.64/35.84 (assume-push @p976 @t525) % 35.64/35.84 (assume-push @p977 @t671) % 35.64/35.84 (assume-push @p978 @t667) % 35.64/35.84 (step @p949 :rule and_intro :premises (@p978 @p976 @p977)) % 35.64/35.84 (step-pop @p979 :rule scope :premises (@p949)) % 35.64/35.84 (step-pop @p980 :rule scope :premises (@p979)) % 35.64/35.84 (step-pop @p981 :rule scope :premises (@p980)) % 35.64/35.84 (step @p950 :rule process_scope :premises (@p981) :args (@t674)) % 35.64/35.84 (step @p954 :rule implies_elim :premises (@p950)) % 35.64/35.84 (step @p955 :rule resolution :premises (@p954 @p942) :args (true @t674)) % 35.64/35.84 (step @p956 :rule not_and :premises (@p955)) % 35.64/35.84 (step @p957 :rule eq_resolve :premises (@p956 @p930)) % 35.64/35.84 (step @p958 :rule reordering :premises (@p957) :args ((or @t526 @t300 @t673))) % 35.64/35.84 (step @p959 false :rule chain_m_resolution :premises (@p958 @p927 @p914 @p874) :args (false (@list false false true) (@list @t671 @t525 @t300))) % 35.64/35.84 ) % 35.64/35.84 % SZS output end Proof % 35.64/35.84 % cvc5 exiting %------------------------------------------------------------------------------