%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC174+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 08:58:20 AM UTC 2026 % Result : Theorem 67.86s 68.11s % Output : Proof 67.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC174+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % 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 19:21:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 67.86/68.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 67.86/68.11 --- Run --no-e-matching --full-saturate-quant at 6... % 67.86/68.11 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 67.86/68.11 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 67.86/68.11 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 67.86/68.11 --- Run --trigger-sel=max --full-saturate-quant at 15... % 67.86/68.11 % SZS status Theorem % 67.86/68.11 % SZS output start Proof % 67.86/68.11 ( % 67.86/68.11 (declare-sort $$unsorted 0) % 67.86/68.11 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 67.86/68.11 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 67.86/68.11 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 67.86/68.11 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 67.86/68.11 (declare-const tptp.nil $$unsorted) % 67.86/68.11 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.ssList (-> $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 67.86/68.11 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 67.86/68.11 (define @t1 () (@var "V" $$unsorted)) % 67.86/68.11 (define @t2 () (@var "U" $$unsorted)) % 67.86/68.11 (define @t3 () (= @t2 @t1)) % 67.86/68.11 (define @t4 () (not @t3)) % 67.86/68.11 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 67.86/68.11 (define @t6 () (tptp.ssItem @t1)) % 67.86/68.11 (define @t7 () (@list @t1)) % 67.86/68.11 (define @t8 () (forall @t7 (=> @t6 @t5))) % 67.86/68.11 (define @t9 () (tptp.ssItem @t2)) % 67.86/68.11 (define @t10 () (=> @t9 @t8)) % 67.86/68.11 (define @t11 () (@list @t2)) % 67.86/68.11 (define @t12 () (forall @t11 @t10)) % 67.86/68.11 (define @t13 () (@var "X" $$unsorted)) % 67.86/68.11 (define @t14 () (tptp.cons @t1 @t13)) % 67.86/68.11 (define @t15 () (@var "W" $$unsorted)) % 67.86/68.11 (define @t16 () (tptp.ssList @t13)) % 67.86/68.11 (define @t17 () (@list @t13)) % 67.86/68.11 (define @t18 () (tptp.ssList @t15)) % 67.86/68.11 (define @t19 () (@list @t15)) % 67.86/68.11 (define @t20 () (tptp.ssList @t2)) % 67.86/68.11 (define @t21 () (tptp.cons @t1 tptp.nil)) % 67.86/68.11 (define @t22 () (and @t6 (= @t21 @t2))) % 67.86/68.11 (define @t23 () (exists @t7 @t22)) % 67.86/68.11 (define @t24 () (tptp.singletonP @t2)) % 67.86/68.11 (define @t25 () (= @t24 @t23)) % 67.86/68.11 (define @t26 () (=> @t20 @t25)) % 67.86/68.11 (define @t27 () (forall @t11 @t26)) % 67.86/68.11 (define @t28 () (tptp.app @t1 @t15)) % 67.86/68.11 (define @t29 () (tptp.frontsegP @t2 @t1)) % 67.86/68.11 (define @t30 () (tptp.ssList @t1)) % 67.86/68.11 (define @t31 () (tptp.app @t15 @t1)) % 67.86/68.11 (define @t32 () (tptp.rearsegP @t2 @t1)) % 67.86/68.11 (define @t33 () (tptp.segmentP @t2 @t1)) % 67.86/68.11 (define @t34 () (tptp.leq @t15 @t1)) % 67.86/68.11 (define @t35 () (tptp.leq @t1 @t15)) % 67.86/68.11 (define @t36 () (not (and @t35 @t34))) % 67.86/68.11 (define @t37 () (@var "Z" $$unsorted)) % 67.86/68.11 (define @t38 () (@var "Y" $$unsorted)) % 67.86/68.11 (define @t39 () (tptp.app @t13 (tptp.cons @t1 @t38))) % 67.86/68.11 (define @t40 () (tptp.app @t39 (tptp.cons @t15 @t37))) % 67.86/68.11 (define @t41 () (= @t40 @t2)) % 67.86/68.11 (define @t42 () (=> @t41 @t36)) % 67.86/68.11 (define @t43 () (tptp.ssList @t37)) % 67.86/68.11 (define @t44 () (=> @t43 @t42)) % 67.86/68.11 (define @t45 () (@list @t37)) % 67.86/68.11 (define @t46 () (forall @t45 @t44)) % 67.86/68.11 (define @t47 () (tptp.ssList @t38)) % 67.86/68.11 (define @t48 () (=> @t47 @t46)) % 67.86/68.11 (define @t49 () (@list @t38)) % 67.86/68.11 (define @t50 () (forall @t49 @t48)) % 67.86/68.11 (define @t51 () (=> @t16 @t50)) % 67.86/68.11 (define @t52 () (forall @t17 @t51)) % 67.86/68.11 (define @t53 () (tptp.ssItem @t15)) % 67.86/68.11 (define @t54 () (=> @t53 @t52)) % 67.86/68.11 (define @t55 () (forall @t19 @t54)) % 67.86/68.11 (define @t56 () (=> @t6 @t55)) % 67.86/68.11 (define @t57 () (forall @t7 @t56)) % 67.86/68.11 (define @t58 () (tptp.cyclefreeP @t2)) % 67.86/68.11 (define @t59 () (= @t58 @t57)) % 67.86/68.11 (define @t60 () (=> @t20 @t59)) % 67.86/68.11 (define @t61 () (forall @t11 @t60)) % 67.86/68.11 (define @t62 () (tptp.lt @t1 @t15)) % 67.86/68.11 (define @t63 () (= @t1 @t15)) % 67.86/68.11 (define @t64 () (tptp.cons @t1 @t2)) % 67.86/68.11 (define @t65 () (tptp.ssList @t64)) % 67.86/68.11 (define @t66 () (forall @t7 (=> @t6 @t65))) % 67.86/68.11 (define @t67 () (=> @t20 @t66)) % 67.86/68.11 (define @t68 () (forall @t11 @t67)) % 67.86/68.11 (define @t69 () (tptp.ssList tptp.nil)) % 67.86/68.11 (define @t70 () (= @t1 @t2)) % 67.86/68.11 (define @t71 () (tptp.cons @t15 @t1)) % 67.86/68.11 (define @t72 () (= tptp.nil @t2)) % 67.86/68.11 (define @t73 () (tptp.hd @t2)) % 67.86/68.11 (define @t74 () (tptp.ssItem @t73)) % 67.86/68.11 (define @t75 () (not @t72)) % 67.86/68.11 (define @t76 () (=> @t75 @t74)) % 67.86/68.11 (define @t77 () (=> @t20 @t76)) % 67.86/68.11 (define @t78 () (forall @t11 @t77)) % 67.86/68.11 (define @t79 () (tptp.tl @t2)) % 67.86/68.11 (define @t80 () (tptp.tl @t64)) % 67.86/68.11 (define @t81 () (=> @t6 (= @t80 @t2))) % 67.86/68.11 (define @t82 () (forall @t7 @t81)) % 67.86/68.11 (define @t83 () (=> @t20 @t82)) % 67.86/68.11 (define @t84 () (forall @t11 @t83)) % 67.86/68.11 (define @t85 () (tptp.app @t2 @t1)) % 67.86/68.11 (define @t86 () (tptp.ssList @t85)) % 67.86/68.11 (define @t87 () (forall @t7 (=> @t30 @t86))) % 67.86/68.11 (define @t88 () (=> @t20 @t87)) % 67.86/68.11 (define @t89 () (forall @t11 @t88)) % 67.86/68.11 (define @t90 () (tptp.app @t1 @t2)) % 67.86/68.11 (define @t91 () (= (tptp.cons @t15 @t90) (tptp.app @t71 @t2))) % 67.86/68.11 (define @t92 () (forall @t19 (=> @t53 @t91))) % 67.86/68.11 (define @t93 () (=> @t30 @t92)) % 67.86/68.11 (define @t94 () (forall @t7 @t93)) % 67.86/68.11 (define @t95 () (=> @t20 @t94)) % 67.86/68.11 (define @t96 () (forall @t11 @t95)) % 67.86/68.11 (define @t97 () (tptp.app tptp.nil @t2)) % 67.86/68.11 (define @t98 () (=> @t20 (= @t97 @t2))) % 67.86/68.11 (define @t99 () (forall @t11 @t98)) % 67.86/68.11 (define @t100 () (tptp.leq @t1 @t2)) % 67.86/68.11 (define @t101 () (tptp.leq @t2 @t1)) % 67.86/68.11 (define @t102 () (tptp.leq @t2 @t2)) % 67.86/68.11 (define @t103 () (forall @t11 (=> @t9 @t102))) % 67.86/68.11 (define @t104 () (tptp.geq @t2 @t1)) % 67.86/68.11 (define @t105 () (tptp.lt @t1 @t2)) % 67.86/68.11 (define @t106 () (tptp.lt @t2 @t1)) % 67.86/68.11 (define @t107 () (tptp.lt @t2 @t15)) % 67.86/68.11 (define @t108 () (tptp.gt @t2 @t1)) % 67.86/68.11 (define @t109 () (tptp.memberP @t15 @t2)) % 67.86/68.11 (define @t110 () (tptp.singletonP tptp.nil)) % 67.86/68.11 (define @t111 () (not @t110)) % 67.86/68.11 (define @t112 () (tptp.app @t15 @t2)) % 67.86/68.11 (define @t113 () (tptp.cons @t2 tptp.nil)) % 67.86/68.11 (define @t114 () (tptp.cyclefreeP @t113)) % 67.86/68.11 (define @t115 () (forall @t11 (=> @t9 @t114))) % 67.86/68.11 (define @t116 () (tptp.hd @t1)) % 67.86/68.11 (define @t117 () (= tptp.nil @t1)) % 67.86/68.11 (define @t118 () (not @t117)) % 67.86/68.11 (define @t119 () (tptp.cons @t2 @t1)) % 67.86/68.11 (define @t120 () (tptp.cons @t73 @t79)) % 67.86/68.11 (define @t121 () (=> @t75 (= @t120 @t2))) % 67.86/68.11 (define @t122 () (=> @t20 @t121)) % 67.86/68.11 (define @t123 () (forall @t11 @t122)) % 67.86/68.11 (define @t124 () (= @t15 @t2)) % 67.86/68.11 (define @t125 () (= (tptp.app @t85 @t15) (tptp.app @t2 @t28))) % 67.86/68.11 (define @t126 () (forall @t19 (=> @t18 @t125))) % 67.86/68.11 (define @t127 () (=> @t30 @t126)) % 67.86/68.11 (define @t128 () (forall @t7 @t127)) % 67.86/68.11 (define @t129 () (=> @t20 @t128)) % 67.86/68.11 (define @t130 () (forall @t11 @t129)) % 67.86/68.11 (define @t131 () (tptp.neq @t38 @t37)) % 67.86/68.11 (define @t132 () (@var "X2" $$unsorted)) % 67.86/68.11 (define @t133 () (tptp.cons @t37 tptp.nil)) % 67.86/68.11 (define @t134 () (tptp.cons @t38 tptp.nil)) % 67.86/68.11 (define @t135 () (@var "X1" $$unsorted)) % 67.86/68.11 (define @t136 () (tptp.app (tptp.app @t135 @t134) @t133)) % 67.86/68.11 (define @t137 () (tptp.app @t136 @t132)) % 67.86/68.11 (define @t138 () (not (= @t137 @t2))) % 67.86/68.11 (define @t139 () (tptp.ssList @t132)) % 67.86/68.11 (define @t140 () (=> @t139 @t138)) % 67.86/68.11 (define @t141 () (@list @t132)) % 67.86/68.11 (define @t142 () (forall @t141 @t140)) % 67.86/68.11 (define @t143 () (tptp.ssList @t135)) % 67.86/68.11 (define @t144 () (=> @t143 @t142)) % 67.86/68.11 (define @t145 () (@list @t135)) % 67.86/68.11 (define @t146 () (forall @t145 @t144)) % 67.86/68.11 (define @t147 () (or @t146 @t131)) % 67.86/68.11 (define @t148 () (tptp.ssItem @t37)) % 67.86/68.11 (define @t149 () (=> @t148 @t147)) % 67.86/68.11 (define @t150 () (forall @t45 @t149)) % 67.86/68.11 (define @t151 () (tptp.ssItem @t38)) % 67.86/68.11 (define @t152 () (=> @t151 @t150)) % 67.86/68.11 (define @t153 () (forall @t49 @t152)) % 67.86/68.11 (define @t154 () (not (tptp.singletonP @t15))) % 67.86/68.11 (define @t155 () (not (= @t2 @t15))) % 67.86/68.11 (define @t156 () (not (= @t1 @t13))) % 67.86/68.11 (define @t157 () (or @t156 @t155 @t154 @t153)) % 67.86/68.11 (define @t158 () (=> @t16 @t157)) % 67.86/68.11 (define @t159 () (forall @t17 @t158)) % 67.86/68.11 (define @t160 () (=> @t18 @t159)) % 67.86/68.11 (define @t161 () (forall @t19 @t160)) % 67.86/68.11 (define @t162 () (=> @t30 @t161)) % 67.86/68.11 (define @t163 () (forall @t7 @t162)) % 67.86/68.11 (define @t164 () (=> @t20 @t163)) % 67.86/68.11 (define @t165 () (forall @t11 @t164)) % 67.86/68.11 (define @t166 () (not @t165)) % 67.86/68.11 (define @t167 () (= @t2 @t21)) % 67.86/68.11 (define @t168 () (not @t6)) % 67.86/68.11 (define @t169 () (= @t24 (not (forall @t7 (or @t168 (not @t167)))))) % 67.86/68.11 (define @t170 () (and @t6 @t167)) % 67.86/68.11 (define @t171 () (forall @t7 (not @t170))) % 67.86/68.11 (define @t172 () (not @t171)) % 67.86/68.11 (define @t173 () (@var "BOUND_VARIABLE_11062" $$unsorted)) % 67.86/68.11 (define @t174 () (not (tptp.ssList @t173))) % 67.86/68.11 (define @t175 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 67.86/68.11 (define @t176 () (not (tptp.ssList @t175))) % 67.86/68.11 (define @t177 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 67.86/68.11 (define @t178 () (@var "BOUND_VARIABLE_11056" $$unsorted)) % 67.86/68.11 (define @t179 () (tptp.neq @t178 @t177)) % 67.86/68.11 (define @t180 () (not (tptp.ssItem @t177))) % 67.86/68.11 (define @t181 () (not (tptp.ssItem @t178))) % 67.86/68.11 (define @t182 () (tptp.app (tptp.app (tptp.app @t175 (tptp.cons @t178 tptp.nil)) (tptp.cons @t177 tptp.nil)) @t173)) % 67.86/68.11 (define @t183 () (not (tptp.singletonP @t182))) % 67.86/68.11 (define @t184 () (not (tptp.ssList @t182))) % 67.86/68.11 (define @t185 () (or @t184 @t183 @t181 @t180 @t179 @t176 @t174)) % 67.86/68.11 (define @t186 () (@list @t178 @t177 @t175 @t173)) % 67.86/68.11 (define @t187 () (forall @t186 @t185)) % 67.86/68.11 (define @t188 () (@quantifiers_skolemize @t187 3)) % 67.86/68.11 (define @t189 () (@quantifiers_skolemize @t187 1)) % 67.86/68.11 (define @t190 () (tptp.cons @t189 tptp.nil)) % 67.86/68.11 (define @t191 () (@quantifiers_skolemize @t187 0)) % 67.86/68.11 (define @t192 () (tptp.cons @t191 tptp.nil)) % 67.86/68.11 (define @t193 () (@quantifiers_skolemize @t187 2)) % 67.86/68.11 (define @t194 () (tptp.app @t193 @t192)) % 67.86/68.11 (define @t195 () (tptp.app (tptp.app @t194 @t190) @t188)) % 67.86/68.11 (define @t196 () (not (= @t195 @t21))) % 67.86/68.11 (define @t197 () (or @t168 @t196)) % 67.86/68.11 (define @t198 () (forall @t7 @t197)) % 67.86/68.11 (define @t199 () (not @t198)) % 67.86/68.11 (define @t200 () (tptp.singletonP @t195)) % 67.86/68.11 (define @t201 () (= @t200 @t199)) % 67.86/68.11 (define @t202 () (tptp.ssList @t195)) % 67.86/68.11 (define @t203 () (not @t202)) % 67.86/68.11 (define @t204 () (or @t203 @t201)) % 67.86/68.11 (define @t205 () (not @t20)) % 67.86/68.11 (define @t206 () (forall @t11 (or @t205 @t169))) % 67.86/68.11 (define @t207 () (@list @t195)) % 67.86/68.11 (define @t208 () (forall @t7 (or @t168 (not (= @t21 @t195))))) % 67.86/68.11 (define @t209 () (not @t208)) % 67.86/68.11 (define @t210 () (= @t200 @t209)) % 67.86/68.11 (define @t211 () (or @t203 @t210)) % 67.86/68.11 (define @t212 () (@list false)) % 67.86/68.11 (define @t213 () (not (= @t182 @t182))) % 67.86/68.11 (define @t214 () (or @t184 @t183 @t181 @t180 @t179 @t176 @t174 @t213)) % 67.86/68.11 (define @t215 () (not (= @t2 @t182))) % 67.86/68.11 (define @t216 () (not @t24)) % 67.86/68.11 (define @t217 () (or @t215 @t205 @t216 @t181 @t180 @t179 @t176 @t174 @t215)) % 67.86/68.11 (define @t218 () (or @t205 @t216 @t181 @t180 @t179 @t176 @t174 @t215)) % 67.86/68.11 (define @t219 () (forall @t11 @t218)) % 67.86/68.11 (define @t220 () (forall @t186 @t219)) % 67.86/68.11 (define @t221 () (forall (@list @t178 @t177 @t175 @t173 @t2) @t218)) % 67.86/68.11 (define @t222 () (@list @t2 @t178 @t177 @t175 @t173)) % 67.86/68.11 (define @t223 () (or @t181 @t180 @t179 @t176 @t174 @t215)) % 67.86/68.11 (define @t224 () (or @t205 @t223 @t216)) % 67.86/68.11 (define @t225 () (forall @t222 @t224)) % 67.86/68.11 (define @t226 () (forall @t186 @t224)) % 67.86/68.11 (define @t227 () (forall @t186 @t223)) % 67.86/68.11 (define @t228 () (@var "BOUND_VARIABLE_10996" $$unsorted)) % 67.86/68.11 (define @t229 () (@var "BOUND_VARIABLE_10994" $$unsorted)) % 67.86/68.11 (define @t230 () (@var "BOUND_VARIABLE_10992" $$unsorted)) % 67.86/68.11 (define @t231 () (or @t205 @t227 @t216)) % 67.86/68.11 (define @t232 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t229 @t134) (tptp.cons @t230 tptp.nil)) @t228)))) % 67.86/68.11 (define @t233 () (not (tptp.ssList @t228))) % 67.86/68.11 (define @t234 () (not (tptp.ssList @t229))) % 67.86/68.11 (define @t235 () (tptp.neq @t38 @t230)) % 67.86/68.11 (define @t236 () (not (tptp.ssItem @t230))) % 67.86/68.11 (define @t237 () (not @t151)) % 67.86/68.11 (define @t238 () (or @t237 @t236 @t235 @t234 @t233 @t232)) % 67.86/68.11 (define @t239 () (@list @t38 @t230 @t229 @t228)) % 67.86/68.11 (define @t240 () (forall @t239 @t238)) % 67.86/68.11 (define @t241 () (or @t205 @t240 @t216)) % 67.86/68.11 (define @t242 () (forall @t11 @t241)) % 67.86/68.11 (define @t243 () (not @t30)) % 67.86/68.11 (define @t244 () (forall @t7 @t243)) % 67.86/68.11 (define @t245 () (or @t244 @t242)) % 67.86/68.11 (define @t246 () (or @t244 @t241)) % 67.86/68.11 (define @t247 () (or @t205 @t240 @t216 @t244)) % 67.86/68.11 (define @t248 () (or @t240 @t205 @t216 @t244)) % 67.86/68.11 (define @t249 () (or @t240 @t205 @t216 @t243)) % 67.86/68.11 (define @t250 () (or @t243 @t240 @t205 @t216)) % 67.86/68.11 (define @t251 () (or @t240 @t243 @t205 @t216)) % 67.86/68.11 (define @t252 () (or @t205 @t216)) % 67.86/68.11 (define @t253 () (not (= @t2 @t2))) % 67.86/68.11 (define @t254 () (or @t205 @t253 @t216)) % 67.86/68.11 (define @t255 () (not @t18)) % 67.86/68.11 (define @t256 () (or @t155 @t255 @t155 @t154)) % 67.86/68.11 (define @t257 () (or @t255 @t155 @t154)) % 67.86/68.11 (define @t258 () (forall @t19 @t257)) % 67.86/68.11 (define @t259 () (or @t240 @t243 @t258)) % 67.86/68.11 (define @t260 () (or @t240 @t243 @t257)) % 67.86/68.11 (define @t261 () (or @t255 @t155 @t154 @t240 @t243)) % 67.86/68.11 (define @t262 () (or @t155 @t154 @t240 @t243)) % 67.86/68.11 (define @t263 () (not (= @t1 @t1))) % 67.86/68.11 (define @t264 () (or @t243 @t263)) % 67.86/68.11 (define @t265 () (not @t16)) % 67.86/68.11 (define @t266 () (or @t156 @t265 @t156)) % 67.86/68.11 (define @t267 () (or @t265 @t156)) % 67.86/68.11 (define @t268 () (forall @t17 @t267)) % 67.86/68.11 (define @t269 () (or @t155 @t154 @t240 @t268)) % 67.86/68.11 (define @t270 () (or @t155 @t154 @t240 @t267)) % 67.86/68.11 (define @t271 () (or @t265 @t156 @t155 @t154 @t240)) % 67.86/68.11 (define @t272 () (or @t156 @t155 @t154 @t240)) % 67.86/68.11 (define @t273 () (or @t236 @t235 @t234 @t233 @t232)) % 67.86/68.11 (define @t274 () (or @t237 @t273)) % 67.86/68.11 (define @t275 () (forall @t239 @t274)) % 67.86/68.11 (define @t276 () (@list @t230 @t229 @t228)) % 67.86/68.11 (define @t277 () (forall @t276 @t274)) % 67.86/68.11 (define @t278 () (forall @t276 @t273)) % 67.86/68.11 (define @t279 () (@var "BOUND_VARIABLE_10970" $$unsorted)) % 67.86/68.11 (define @t280 () (@var "BOUND_VARIABLE_10968" $$unsorted)) % 67.86/68.11 (define @t281 () (or @t237 @t278)) % 67.86/68.11 (define @t282 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t280 @t134) @t133) @t279)))) % 67.86/68.11 (define @t283 () (not (tptp.ssList @t279))) % 67.86/68.11 (define @t284 () (not (tptp.ssList @t280))) % 67.86/68.11 (define @t285 () (not @t148)) % 67.86/68.11 (define @t286 () (or @t285 @t131 @t284 @t283 @t282)) % 67.86/68.11 (define @t287 () (@list @t37 @t280 @t279)) % 67.86/68.11 (define @t288 () (forall @t287 @t286)) % 67.86/68.11 (define @t289 () (or @t284 @t283 @t282)) % 67.86/68.11 (define @t290 () (or @t285 @t289 @t131)) % 67.86/68.11 (define @t291 () (forall @t287 @t290)) % 67.86/68.11 (define @t292 () (@list @t280 @t279)) % 67.86/68.11 (define @t293 () (forall @t292 @t290)) % 67.86/68.11 (define @t294 () (forall @t292 @t289)) % 67.86/68.11 (define @t295 () (@var "BOUND_VARIABLE_10949" $$unsorted)) % 67.86/68.11 (define @t296 () (or @t285 @t294 @t131)) % 67.86/68.11 (define @t297 () (not (= @t2 (tptp.app @t136 @t295)))) % 67.86/68.11 (define @t298 () (not (tptp.ssList @t295))) % 67.86/68.11 (define @t299 () (not @t143)) % 67.86/68.11 (define @t300 () (or @t299 @t298 @t297)) % 67.86/68.11 (define @t301 () (@list @t135 @t295)) % 67.86/68.11 (define @t302 () (forall @t301 @t300)) % 67.86/68.11 (define @t303 () (or @t285 @t302 @t131)) % 67.86/68.11 (define @t304 () (or @t302 @t131)) % 67.86/68.11 (define @t305 () (or @t298 @t297)) % 67.86/68.11 (define @t306 () (or @t299 @t305)) % 67.86/68.11 (define @t307 () (forall @t301 @t306)) % 67.86/68.11 (define @t308 () (@list @t295)) % 67.86/68.11 (define @t309 () (forall @t308 @t306)) % 67.86/68.11 (define @t310 () (forall @t308 @t305)) % 67.86/68.11 (define @t311 () (or @t299 @t310)) % 67.86/68.11 (define @t312 () (not (= @t2 @t137))) % 67.86/68.11 (define @t313 () (forall @t141 (or (not @t139) @t312))) % 67.86/68.11 (define @t314 () (tptp.ssList @t188)) % 67.86/68.11 (define @t315 () (not @t314)) % 67.86/68.11 (define @t316 () (tptp.ssList @t193)) % 67.86/68.11 (define @t317 () (not @t316)) % 67.86/68.11 (define @t318 () (tptp.neq @t191 @t189)) % 67.86/68.11 (define @t319 () (tptp.ssItem @t189)) % 67.86/68.11 (define @t320 () (not @t319)) % 67.86/68.11 (define @t321 () (tptp.ssItem @t191)) % 67.86/68.11 (define @t322 () (not @t321)) % 67.86/68.11 (define @t323 () (not @t200)) % 67.86/68.11 (define @t324 () (or @t203 @t323 @t322 @t320 @t318 @t317 @t315)) % 67.86/68.11 (define @t325 () (@list true)) % 67.86/68.11 (define @t326 () (@list @t324)) % 67.86/68.11 (define @t327 () (@list false false)) % 67.86/68.11 (define @t328 () (@quantifiers_skolemize @t208 0)) % 67.86/68.11 (define @t329 () (tptp.cons @t328 tptp.nil)) % 67.86/68.11 (define @t330 () (= @t195 @t329)) % 67.86/68.11 (define @t331 () (not @t330)) % 67.86/68.11 (define @t332 () (tptp.ssItem @t328)) % 67.86/68.11 (define @t333 () (not @t332)) % 67.86/68.11 (define @t334 () (or @t333 @t331)) % 67.86/68.11 (define @t335 () (not @t334)) % 67.86/68.11 (define @t336 () (not (= @t329 @t195))) % 67.86/68.11 (define @t337 () (or @t333 @t336)) % 67.86/68.11 (define @t338 () (not @t337)) % 67.86/68.11 (define @t339 () (@list @t334)) % 67.86/68.11 (define @t340 () (= @t2 @t120)) % 67.86/68.11 (define @t341 () (= @t2 tptp.nil)) % 67.86/68.11 (define @t342 () (or @t205 @t341 @t340)) % 67.86/68.11 (define @t343 () (not @t341)) % 67.86/68.11 (define @t344 () (not @t343)) % 67.86/68.11 (define @t345 () (=> @t343 @t340)) % 67.86/68.11 (define @t346 () (tptp.tl @t195)) % 67.86/68.11 (define @t347 () (tptp.hd @t195)) % 67.86/68.11 (define @t348 () (tptp.cons @t347 @t346)) % 67.86/68.11 (define @t349 () (= @t195 @t348)) % 67.86/68.11 (define @t350 () (= @t195 tptp.nil)) % 67.86/68.11 (define @t351 () (or @t203 @t350 @t349)) % 67.86/68.11 (define @t352 () (forall @t11 @t342)) % 67.86/68.11 (define @t353 () (= tptp.nil @t195)) % 67.86/68.11 (define @t354 () (or @t203 @t353 @t349)) % 67.86/68.11 (define @t355 () (not @t353)) % 67.86/68.11 (define @t356 () (= false true)) % 67.86/68.11 (define @t357 () (and @t200 @t353 @t111)) % 67.86/68.11 (define @t358 () (@list true false)) % 67.86/68.11 (define @t359 () (@list false true false)) % 67.86/68.11 (define @t360 () (@var "BOUND_VARIABLE_9359" $$unsorted)) % 67.86/68.11 (define @t361 () (= @t2 (tptp.tl (tptp.cons @t360 @t2)))) % 67.86/68.11 (define @t362 () (not (tptp.ssItem @t360))) % 67.86/68.11 (define @t363 () (or @t362 @t361)) % 67.86/68.11 (define @t364 () (or @t205 @t363)) % 67.86/68.11 (define @t365 () (forall (@list @t2 @t360) @t364)) % 67.86/68.11 (define @t366 () (@list @t360)) % 67.86/68.11 (define @t367 () (forall @t366 @t364)) % 67.86/68.11 (define @t368 () (forall @t366 @t363)) % 67.86/68.11 (define @t369 () (@list @t1)) % 67.86/68.11 (define @t370 () (or @t205 @t368)) % 67.86/68.11 (define @t371 () (= @t2 @t80)) % 67.86/68.11 (define @t372 () (forall @t7 (or @t168 @t371))) % 67.86/68.11 (define @t373 () (= tptp.nil (tptp.tl @t329))) % 67.86/68.11 (define @t374 () (not @t69)) % 67.86/68.11 (define @t375 () (or @t374 @t333 @t373)) % 67.86/68.11 (define @t376 () (@list false false false)) % 67.86/68.11 (define @t377 () (@var "BOUND_VARIABLE_8544" $$unsorted)) % 67.86/68.11 (define @t378 () (@var "BOUND_VARIABLE_8538" $$unsorted)) % 67.86/68.11 (define @t379 () (@var "BOUND_VARIABLE_8542" $$unsorted)) % 67.86/68.11 (define @t380 () (@var "BOUND_VARIABLE_8540" $$unsorted)) % 67.86/68.11 (define @t381 () (tptp.app (tptp.app @t380 (tptp.cons @t1 @t379)) (tptp.cons @t378 @t377))) % 67.86/68.11 (define @t382 () (not (= @t2 @t381))) % 67.86/68.11 (define @t383 () (not (tptp.ssList @t377))) % 67.86/68.11 (define @t384 () (not (tptp.ssList @t379))) % 67.86/68.11 (define @t385 () (not (tptp.ssList @t380))) % 67.86/68.11 (define @t386 () (not (tptp.leq @t378 @t1))) % 67.86/68.11 (define @t387 () (not (tptp.leq @t1 @t378))) % 67.86/68.11 (define @t388 () (not (tptp.ssItem @t378))) % 67.86/68.11 (define @t389 () (or @t168 @t388 @t387 @t386 @t385 @t384 @t383 @t382)) % 67.86/68.11 (define @t390 () (@list @t1 @t378 @t380 @t379 @t377)) % 67.86/68.11 (define @t391 () (= @t58 (forall @t390 @t389))) % 67.86/68.11 (define @t392 () (or @t388 @t387 @t386 @t385 @t384 @t383 @t382)) % 67.86/68.11 (define @t393 () (or @t168 @t392)) % 67.86/68.11 (define @t394 () (forall @t390 @t393)) % 67.86/68.11 (define @t395 () (@list @t378 @t380 @t379 @t377)) % 67.86/68.11 (define @t396 () (forall @t395 @t393)) % 67.86/68.11 (define @t397 () (forall @t395 @t392)) % 67.86/68.11 (define @t398 () (@var "BOUND_VARIABLE_8514" $$unsorted)) % 67.86/68.11 (define @t399 () (@var "BOUND_VARIABLE_8512" $$unsorted)) % 67.86/68.11 (define @t400 () (@var "BOUND_VARIABLE_8510" $$unsorted)) % 67.86/68.11 (define @t401 () (or @t168 @t397)) % 67.86/68.11 (define @t402 () (not (= @t2 (tptp.app (tptp.app @t400 (tptp.cons @t1 @t399)) (tptp.cons @t15 @t398))))) % 67.86/68.11 (define @t403 () (not (tptp.ssList @t398))) % 67.86/68.11 (define @t404 () (not (tptp.ssList @t399))) % 67.86/68.11 (define @t405 () (not (tptp.ssList @t400))) % 67.86/68.11 (define @t406 () (not @t34)) % 67.86/68.11 (define @t407 () (not @t35)) % 67.86/68.11 (define @t408 () (not @t53)) % 67.86/68.11 (define @t409 () (or @t408 @t407 @t406 @t405 @t404 @t403 @t402)) % 67.86/68.11 (define @t410 () (@list @t15 @t400 @t399 @t398)) % 67.86/68.11 (define @t411 () (forall @t410 @t409)) % 67.86/68.11 (define @t412 () (or @t405 @t404 @t403 @t402)) % 67.86/68.11 (define @t413 () (or @t408 @t407 @t406 @t412)) % 67.86/68.11 (define @t414 () (forall @t410 @t413)) % 67.86/68.11 (define @t415 () (@list @t400 @t399 @t398)) % 67.86/68.11 (define @t416 () (forall @t415 @t413)) % 67.86/68.11 (define @t417 () (forall @t415 @t412)) % 67.86/68.11 (define @t418 () (@var "BOUND_VARIABLE_8486" $$unsorted)) % 67.86/68.11 (define @t419 () (@var "BOUND_VARIABLE_8484" $$unsorted)) % 67.86/68.11 (define @t420 () (or @t408 @t407 @t406 @t417)) % 67.86/68.11 (define @t421 () (not (= @t2 (tptp.app (tptp.app @t13 (tptp.cons @t1 @t419)) (tptp.cons @t15 @t418))))) % 67.86/68.11 (define @t422 () (not (tptp.ssList @t418))) % 67.86/68.11 (define @t423 () (not (tptp.ssList @t419))) % 67.86/68.11 (define @t424 () (or @t265 @t423 @t422 @t421)) % 67.86/68.11 (define @t425 () (@list @t13 @t419 @t418)) % 67.86/68.11 (define @t426 () (forall @t425 @t424)) % 67.86/68.11 (define @t427 () (or @t408 @t407 @t406 @t426)) % 67.86/68.11 (define @t428 () (or @t407 @t406 @t426)) % 67.86/68.11 (define @t429 () (or @t423 @t422 @t421)) % 67.86/68.11 (define @t430 () (or @t265 @t429)) % 67.86/68.11 (define @t431 () (forall @t425 @t430)) % 67.86/68.11 (define @t432 () (@list @t419 @t418)) % 67.86/68.11 (define @t433 () (forall @t432 @t430)) % 67.86/68.11 (define @t434 () (forall @t432 @t429)) % 67.86/68.11 (define @t435 () (@var "BOUND_VARIABLE_8462" $$unsorted)) % 67.86/68.11 (define @t436 () (or @t265 @t434)) % 67.86/68.11 (define @t437 () (not (= @t2 (tptp.app @t39 (tptp.cons @t15 @t435))))) % 67.86/68.11 (define @t438 () (not (tptp.ssList @t435))) % 67.86/68.11 (define @t439 () (not @t47)) % 67.86/68.11 (define @t440 () (or @t439 @t438 @t437)) % 67.86/68.11 (define @t441 () (@list @t38 @t435)) % 67.86/68.11 (define @t442 () (forall @t441 @t440)) % 67.86/68.11 (define @t443 () (or @t265 @t442)) % 67.86/68.11 (define @t444 () (forall @t17 @t443)) % 67.86/68.11 (define @t445 () (or @t407 @t406 @t444)) % 67.86/68.11 (define @t446 () (or @t407 @t406 @t443)) % 67.86/68.11 (define @t447 () (or @t265 @t407 @t406 @t442)) % 67.86/68.11 (define @t448 () (or @t407 @t406 @t442)) % 67.86/68.11 (define @t449 () (or @t438 @t437)) % 67.86/68.11 (define @t450 () (or @t439 @t449)) % 67.86/68.11 (define @t451 () (forall @t441 @t450)) % 67.86/68.11 (define @t452 () (@list @t435)) % 67.86/68.11 (define @t453 () (forall @t452 @t450)) % 67.86/68.11 (define @t454 () (forall @t452 @t449)) % 67.86/68.11 (define @t455 () (or @t439 @t454)) % 67.86/68.11 (define @t456 () (= @t2 @t40)) % 67.86/68.11 (define @t457 () (not @t456)) % 67.86/68.11 (define @t458 () (not @t43)) % 67.86/68.11 (define @t459 () (or @t458 @t457)) % 67.86/68.11 (define @t460 () (forall @t45 @t459)) % 67.86/68.11 (define @t461 () (or @t439 @t460)) % 67.86/68.11 (define @t462 () (forall @t49 @t461)) % 67.86/68.11 (define @t463 () (or @t407 @t406 @t462)) % 67.86/68.11 (define @t464 () (or @t407 @t406 @t461)) % 67.86/68.11 (define @t465 () (or @t439 @t407 @t406 @t460)) % 67.86/68.11 (define @t466 () (or @t407 @t406 @t460)) % 67.86/68.11 (define @t467 () (or @t407 @t406 @t459)) % 67.86/68.11 (define @t468 () (or @t458 @t457 @t407 @t406)) % 67.86/68.11 (define @t469 () (or @t457 @t407 @t406)) % 67.86/68.11 (define @t470 () (=> @t456 @t36)) % 67.86/68.11 (define @t471 () (not (= @t195 @t381))) % 67.86/68.11 (define @t472 () (or @t168 @t388 @t387 @t386 @t385 @t384 @t383 @t471)) % 67.86/68.11 (define @t473 () (forall @t390 @t472)) % 67.86/68.11 (define @t474 () (tptp.cyclefreeP @t195)) % 67.86/68.11 (define @t475 () (= @t474 @t473)) % 67.86/68.11 (define @t476 () (or @t203 @t475)) % 67.86/68.11 (define @t477 () (forall @t11 (or @t205 @t391))) % 67.86/68.11 (define @t478 () (forall @t390 (or @t168 @t388 @t387 @t386 @t385 @t384 @t383 (not (= @t381 @t195))))) % 67.86/68.11 (define @t479 () (= @t474 @t478)) % 67.86/68.11 (define @t480 () (or @t203 @t479)) % 67.86/68.11 (define @t481 () (@var "BOUND_VARIABLE_8181" $$unsorted)) % 67.86/68.11 (define @t482 () (= (tptp.neq @t2 @t481) (not (= @t2 @t481)))) % 67.86/68.11 (define @t483 () (not (tptp.ssItem @t481))) % 67.86/68.11 (define @t484 () (not @t9)) % 67.86/68.11 (define @t485 () (or @t483 @t482)) % 67.86/68.11 (define @t486 () (or @t484 @t485)) % 67.86/68.11 (define @t487 () (forall (@list @t2 @t481) @t486)) % 67.86/68.11 (define @t488 () (@list @t481)) % 67.86/68.11 (define @t489 () (forall @t488 @t486)) % 67.86/68.11 (define @t490 () (forall @t488 @t485)) % 67.86/68.11 (define @t491 () (or @t484 @t490)) % 67.86/68.11 (define @t492 () (forall @t7 (or @t168 @t5))) % 67.86/68.11 (define @t493 () (= @t191 @t189)) % 67.86/68.11 (define @t494 () (not @t493)) % 67.86/68.11 (define @t495 () (= @t318 @t494)) % 67.86/68.11 (define @t496 () (or @t322 @t320 @t495)) % 67.86/68.11 (define @t497 () (not @t495)) % 67.86/68.11 (define @t498 () (= @t2 @t97)) % 67.86/68.11 (define @t499 () (tptp.app tptp.nil @t188)) % 67.86/68.11 (define @t500 () (= @t188 @t499)) % 67.86/68.11 (define @t501 () (or @t315 @t500)) % 67.86/68.11 (define @t502 () (tptp.cons @t189 @t499)) % 67.86/68.11 (define @t503 () (@var "BOUND_VARIABLE_9416" $$unsorted)) % 67.86/68.11 (define @t504 () (@var "BOUND_VARIABLE_9418" $$unsorted)) % 67.86/68.11 (define @t505 () (= (tptp.cons @t504 (tptp.app @t503 @t2)) (tptp.app (tptp.cons @t504 @t503) @t2))) % 67.86/68.11 (define @t506 () (not (tptp.ssItem @t504))) % 67.86/68.11 (define @t507 () (not (tptp.ssList @t503))) % 67.86/68.11 (define @t508 () (or @t205 @t507 @t506 @t505)) % 67.86/68.11 (define @t509 () (or @t507 @t506 @t505)) % 67.86/68.11 (define @t510 () (or @t205 @t509)) % 67.86/68.11 (define @t511 () (@list @t2 @t503 @t504)) % 67.86/68.11 (define @t512 () (forall @t511 @t510)) % 67.86/68.11 (define @t513 () (@list @t503 @t504)) % 67.86/68.11 (define @t514 () (forall @t513 @t510)) % 67.86/68.11 (define @t515 () (forall @t513 @t509)) % 67.86/68.11 (define @t516 () (@var "BOUND_VARIABLE_9398" $$unsorted)) % 67.86/68.11 (define @t517 () (or @t205 @t515)) % 67.86/68.11 (define @t518 () (= (tptp.cons @t516 @t90) (tptp.app (tptp.cons @t516 @t1) @t2))) % 67.86/68.11 (define @t519 () (not (tptp.ssItem @t516))) % 67.86/68.11 (define @t520 () (or @t243 @t519 @t518)) % 67.86/68.11 (define @t521 () (@list @t1 @t516)) % 67.86/68.11 (define @t522 () (forall @t521 @t520)) % 67.86/68.11 (define @t523 () (or @t519 @t518)) % 67.86/68.11 (define @t524 () (or @t243 @t523)) % 67.86/68.11 (define @t525 () (forall @t521 @t524)) % 67.86/68.11 (define @t526 () (@list @t516)) % 67.86/68.11 (define @t527 () (forall @t526 @t524)) % 67.86/68.11 (define @t528 () (forall @t526 @t523)) % 67.86/68.11 (define @t529 () (@list @t15)) % 67.86/68.11 (define @t530 () (or @t243 @t528)) % 67.86/68.11 (define @t531 () (forall @t19 (or @t408 @t91))) % 67.86/68.11 (define @t532 () (tptp.app @t190 @t188)) % 67.86/68.11 (define @t533 () (or @t315 @t374 @t320 (= @t502 @t532))) % 67.86/68.11 (define @t534 () (forall @t511 @t508)) % 67.86/68.11 (define @t535 () (= @t532 @t502)) % 67.86/68.11 (define @t536 () (or @t315 @t374 @t320 @t535)) % 67.86/68.11 (define @t537 () (@list false false false false)) % 67.86/68.11 (define @t538 () (tptp.app @t194 @t532)) % 67.86/68.11 (define @t539 () (@var "BOUND_VARIABLE_10579" $$unsorted)) % 67.86/68.11 (define @t540 () (@var "BOUND_VARIABLE_10577" $$unsorted)) % 67.86/68.11 (define @t541 () (= (tptp.app (tptp.app @t2 @t540) @t539) (tptp.app @t2 (tptp.app @t540 @t539)))) % 67.86/68.11 (define @t542 () (not (tptp.ssList @t539))) % 67.86/68.11 (define @t543 () (not (tptp.ssList @t540))) % 67.86/68.11 (define @t544 () (or @t543 @t542 @t541)) % 67.86/68.11 (define @t545 () (or @t205 @t544)) % 67.86/68.11 (define @t546 () (forall (@list @t2 @t540 @t539) @t545)) % 67.86/68.11 (define @t547 () (@list @t540 @t539)) % 67.86/68.11 (define @t548 () (forall @t547 @t545)) % 67.86/68.11 (define @t549 () (forall @t547 @t544)) % 67.86/68.11 (define @t550 () (@var "BOUND_VARIABLE_10559" $$unsorted)) % 67.86/68.11 (define @t551 () (or @t205 @t549)) % 67.86/68.11 (define @t552 () (= (tptp.app @t85 @t550) (tptp.app @t2 (tptp.app @t1 @t550)))) % 67.86/68.11 (define @t553 () (not (tptp.ssList @t550))) % 67.86/68.11 (define @t554 () (or @t243 @t553 @t552)) % 67.86/68.11 (define @t555 () (@list @t1 @t550)) % 67.86/68.11 (define @t556 () (forall @t555 @t554)) % 67.86/68.11 (define @t557 () (or @t553 @t552)) % 67.86/68.11 (define @t558 () (or @t243 @t557)) % 67.86/68.11 (define @t559 () (forall @t555 @t558)) % 67.86/68.11 (define @t560 () (@list @t550)) % 67.86/68.11 (define @t561 () (forall @t560 @t558)) % 67.86/68.11 (define @t562 () (forall @t560 @t557)) % 67.86/68.11 (define @t563 () (or @t243 @t562)) % 67.86/68.11 (define @t564 () (forall @t19 (or @t255 @t125))) % 67.86/68.11 (define @t565 () (@var "BOUND_VARIABLE_9379" $$unsorted)) % 67.86/68.11 (define @t566 () (tptp.ssList (tptp.app @t2 @t565))) % 67.86/68.11 (define @t567 () (not (tptp.ssList @t565))) % 67.86/68.11 (define @t568 () (or @t567 @t566)) % 67.86/68.11 (define @t569 () (or @t205 @t568)) % 67.86/68.11 (define @t570 () (forall (@list @t2 @t565) @t569)) % 67.86/68.11 (define @t571 () (@list @t565)) % 67.86/68.11 (define @t572 () (forall @t571 @t569)) % 67.86/68.11 (define @t573 () (forall @t571 @t568)) % 67.86/68.11 (define @t574 () (or @t205 @t573)) % 67.86/68.11 (define @t575 () (forall @t7 (or @t243 @t86))) % 67.86/68.11 (define @t576 () (@var "BOUND_VARIABLE_9135" $$unsorted)) % 67.86/68.11 (define @t577 () (tptp.ssList (tptp.cons @t576 @t2))) % 67.86/68.11 (define @t578 () (not (tptp.ssItem @t576))) % 67.86/68.11 (define @t579 () (or @t578 @t577)) % 67.86/68.11 (define @t580 () (or @t205 @t579)) % 67.86/68.11 (define @t581 () (forall (@list @t2 @t576) @t580)) % 67.86/68.11 (define @t582 () (@list @t576)) % 67.86/68.11 (define @t583 () (forall @t582 @t580)) % 67.86/68.11 (define @t584 () (forall @t582 @t579)) % 67.86/68.11 (define @t585 () (or @t205 @t584)) % 67.86/68.11 (define @t586 () (forall @t7 (or @t168 @t65))) % 67.86/68.11 (define @t587 () (tptp.ssList @t192)) % 67.86/68.11 (define @t588 () (or @t374 @t322 @t587)) % 67.86/68.11 (define @t589 () (tptp.ssList @t194)) % 67.86/68.11 (define @t590 () (not @t587)) % 67.86/68.11 (define @t591 () (or @t317 @t590 @t589)) % 67.86/68.11 (define @t592 () (tptp.ssList @t190)) % 67.86/68.11 (define @t593 () (= @t195 @t538)) % 67.86/68.11 (define @t594 () (not @t592)) % 67.86/68.11 (define @t595 () (not @t589)) % 67.86/68.11 (define @t596 () (or @t595 @t594 @t315 @t593)) % 67.86/68.11 (define @t597 () (tptp.leq @t191 @t191)) % 67.86/68.11 (define @t598 () (or @t322 @t597)) % 67.86/68.11 (define @t599 () (tptp.app @t194 (tptp.cons @t191 @t188))) % 67.86/68.11 (define @t600 () (= @t195 @t599)) % 67.86/68.11 (define @t601 () (not @t600)) % 67.86/68.11 (define @t602 () (not @t597)) % 67.86/68.11 (define @t603 () (or @t322 @t322 @t602 @t602 @t317 @t374 @t315 @t601)) % 67.86/68.11 (define @t604 () (not @t603)) % 67.86/68.11 (define @t605 () (not (= @t599 @t195))) % 67.86/68.11 (define @t606 () (or @t322 @t322 @t602 @t602 @t317 @t374 @t315 @t605)) % 67.86/68.11 (define @t607 () (not @t474)) % 67.86/68.11 (define @t608 () (or @t205 @t341 @t74)) % 67.86/68.11 (define @t609 () (=> @t343 @t74)) % 67.86/68.11 (define @t610 () (tptp.ssItem @t347)) % 67.86/68.11 (define @t611 () (or @t203 @t350 @t610)) % 67.86/68.11 (define @t612 () (forall @t11 @t608)) % 67.86/68.11 (define @t613 () (or @t203 @t353 @t610)) % 67.86/68.11 (define @t614 () (tptp.cyclefreeP (tptp.cons @t347 tptp.nil))) % 67.86/68.11 (define @t615 () (not @t610)) % 67.86/68.11 (define @t616 () (or @t615 @t614)) % 67.86/68.11 (define @t617 () (not @t614)) % 67.86/68.11 (define @t618 () (not @t373)) % 67.86/68.11 (define @t619 () (not @t349)) % 67.86/68.11 (define @t620 () (and @t614 @t373 @t330 @t349 @t607)) % 67.86/68.11 (assume @p1 @t12) % 67.86/68.11 (assume @p2 (exists @t11 (and @t9 (exists @t7 (and @t6 @t4))))) % 67.86/68.11 (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))))))))))) % 67.86/68.11 (assume @p4 @t27) % 67.86/68.11 (assume @p5 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (= @t29 (exists @t19 (and @t18 (= @t28 @t2))))))))) % 67.86/68.11 (assume @p6 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (= @t32 (exists @t19 (and @t18 (= @t31 @t2))))))))) % 67.86/68.11 (assume @p7 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (= @t33 (exists @t19 (and @t18 (exists @t17 (and @t16 (= (tptp.app @t31 @t13) @t2))))))))))) % 67.86/68.11 (assume @p8 @t61) % 67.86/68.11 (assume @p9 (forall @t11 (=> @t20 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 (or @t35 @t34)))))))))))))))) % 67.86/68.11 (assume @p10 (forall @t11 (=> @t20 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 (or @t62 (tptp.lt @t15 @t1))))))))))))))))) % 67.86/68.11 (assume @p11 (forall @t11 (=> @t20 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 @t35))))))))))))))) % 67.86/68.11 (assume @p12 (forall @t11 (=> @t20 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 @t62))))))))))))))) % 67.86/68.11 (assume @p13 (forall @t11 (=> @t20 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (forall @t45 (=> @t43 (=> @t41 (not @t63)))))))))))))))) % 67.86/68.11 (assume @p14 (forall @t11 (=> @t20 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t19 (=> @t53 (forall @t17 (=> @t16 (forall @t49 (=> @t47 (=> (= (tptp.app @t13 (tptp.cons @t1 (tptp.cons @t15 @t38))) @t2) @t63))))))))))))) % 67.86/68.11 (assume @p15 (forall @t11 (=> @t20 (forall @t7 (=> @t30 @t5))))) % 67.86/68.11 (assume @p16 @t68) % 67.86/68.11 (assume @p17 @t69) % 67.86/68.11 (assume @p18 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= @t64 @t2))))))) % 67.86/68.11 (assume @p19 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t53 (forall @t17 (=> (tptp.ssItem @t13) (=> (= (tptp.cons @t15 @t2) (tptp.cons @t13 @t1)) (and (= @t15 @t13) @t70))))))))))) % 67.86/68.11 (assume @p20 (forall @t11 (=> @t20 (or @t72 (exists @t7 (and @t30 (exists @t19 (and @t53 (= @t71 @t2))))))))) % 67.86/68.11 (assume @p21 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= tptp.nil @t64))))))) % 67.86/68.11 (assume @p22 @t78) % 67.86/68.11 (assume @p23 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.hd @t64) @t1)))))) % 67.86/68.11 (assume @p24 (forall @t11 (=> @t20 (=> @t75 (tptp.ssList @t79))))) % 67.86/68.11 (assume @p25 @t84) % 67.86/68.11 (assume @p26 @t89) % 67.86/68.11 (assume @p27 @t96) % 67.86/68.11 (assume @p28 @t99) % 67.86/68.11 (assume @p29 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t101 @t100) @t3)))))) % 67.86/68.11 (assume @p30 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t101 @t35) (tptp.leq @t2 @t15))))))))) % 67.86/68.11 (assume @p31 @t103) % 67.86/68.11 (assume @p32 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t104 @t100)))))) % 67.86/68.11 (assume @p33 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t106 (not @t105))))))) % 67.86/68.11 (assume @p34 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t53 (=> (and @t106 @t62) @t107)))))))) % 67.86/68.11 (assume @p35 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t108 @t105)))))) % 67.86/68.11 (assume @p36 (forall @t11 (=> @t9 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (= (tptp.memberP @t28 @t2) (or (tptp.memberP @t1 @t2) @t109))))))))) % 67.86/68.11 (assume @p37 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t15) @t2) (or @t3 @t109))))))))) % 67.86/68.11 (assume @p38 (forall @t11 (=> @t9 (not (tptp.memberP tptp.nil @t2))))) % 67.86/68.11 (assume @p39 @t111) % 67.86/68.11 (assume @p40 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (and @t29 (tptp.frontsegP @t1 @t15)) (tptp.frontsegP @t2 @t15))))))))) % 67.86/68.11 (assume @p41 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> (and @t29 (tptp.frontsegP @t1 @t2)) @t3)))))) % 67.86/68.11 (assume @p42 (forall @t11 (=> @t20 (tptp.frontsegP @t2 @t2)))) % 67.86/68.11 (assume @p43 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> @t29 (tptp.frontsegP (tptp.app @t2 @t15) @t1))))))))) % 67.86/68.11 (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)))))))))))) % 67.86/68.11 (assume @p45 (forall @t11 (=> @t20 (tptp.frontsegP @t2 tptp.nil)))) % 67.86/68.11 (assume @p46 (forall @t11 (=> @t20 (= (tptp.frontsegP tptp.nil @t2) @t72)))) % 67.86/68.11 (assume @p47 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (and @t32 (tptp.rearsegP @t1 @t15)) (tptp.rearsegP @t2 @t15))))))))) % 67.86/68.11 (assume @p48 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> (and @t32 (tptp.rearsegP @t1 @t2)) @t3)))))) % 67.86/68.11 (assume @p49 (forall @t11 (=> @t20 (tptp.rearsegP @t2 @t2)))) % 67.86/68.11 (assume @p50 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> @t32 (tptp.rearsegP @t112 @t1))))))))) % 67.86/68.11 (assume @p51 (forall @t11 (=> @t20 (tptp.rearsegP @t2 tptp.nil)))) % 67.86/68.11 (assume @p52 (forall @t11 (=> @t20 (= (tptp.rearsegP tptp.nil @t2) @t72)))) % 67.86/68.11 (assume @p53 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (and @t33 (tptp.segmentP @t1 @t15)) (tptp.segmentP @t2 @t15))))))))) % 67.86/68.11 (assume @p54 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> (and @t33 (tptp.segmentP @t1 @t2)) @t3)))))) % 67.86/68.11 (assume @p55 (forall @t11 (=> @t20 (tptp.segmentP @t2 @t2)))) % 67.86/68.11 (assume @p56 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (forall @t17 (=> @t16 (=> @t33 (tptp.segmentP (tptp.app @t112 @t13) @t1))))))))))) % 67.86/68.11 (assume @p57 (forall @t11 (=> @t20 (tptp.segmentP @t2 tptp.nil)))) % 67.86/68.11 (assume @p58 (forall @t11 (=> @t20 (= (tptp.segmentP tptp.nil @t2) @t72)))) % 67.86/68.11 (assume @p59 @t115) % 67.86/68.11 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 67.86/68.11 (assume @p61 (forall @t11 (=> @t9 (tptp.totalorderP @t113)))) % 67.86/68.11 (assume @p62 (tptp.totalorderP tptp.nil)) % 67.86/68.11 (assume @p63 (forall @t11 (=> @t9 (tptp.strictorderP @t113)))) % 67.86/68.11 (assume @p64 (tptp.strictorderP tptp.nil)) % 67.86/68.11 (assume @p65 (forall @t11 (=> @t9 (tptp.totalorderedP @t113)))) % 67.86/68.11 (assume @p66 (tptp.totalorderedP tptp.nil)) % 67.86/68.11 (assume @p67 (forall @t11 (=> @t9 (forall @t7 (=> @t30 (= (tptp.totalorderedP @t119) (or @t117 (and @t118 (tptp.totalorderedP @t1) (tptp.leq @t2 @t116))))))))) % 67.86/68.11 (assume @p68 (forall @t11 (=> @t9 (tptp.strictorderedP @t113)))) % 67.86/68.11 (assume @p69 (tptp.strictorderedP tptp.nil)) % 67.86/68.11 (assume @p70 (forall @t11 (=> @t9 (forall @t7 (=> @t30 (= (tptp.strictorderedP @t119) (or @t117 (and @t118 (tptp.strictorderedP @t1) (tptp.lt @t2 @t116))))))))) % 67.86/68.11 (assume @p71 (forall @t11 (=> @t9 (tptp.duplicatefreeP @t113)))) % 67.86/68.11 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 67.86/68.11 (assume @p73 (forall @t11 (=> @t9 (tptp.equalelemsP @t113)))) % 67.86/68.11 (assume @p74 (tptp.equalelemsP tptp.nil)) % 67.86/68.11 (assume @p75 (forall @t11 (=> @t20 (=> @t75 (exists @t7 (and @t6 (= @t73 @t1))))))) % 67.86/68.11 (assume @p76 (forall @t11 (=> @t20 (=> @t75 (exists @t7 (and @t30 (= @t79 @t1))))))) % 67.86/68.11 (assume @p77 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (=> (and @t118 @t75 (= @t116 @t73) (= (tptp.tl @t1) @t79)) @t70)))))) % 67.86/68.11 (assume @p78 @t123) % 67.86/68.11 (assume @p79 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (= @t31 @t85) @t124)))))))) % 67.86/68.11 (assume @p80 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (forall @t19 (=> @t18 (=> (= @t28 @t90) @t124)))))))) % 67.86/68.11 (assume @p81 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= @t64 (tptp.app @t21 @t2))))))) % 67.86/68.11 (assume @p82 @t130) % 67.86/68.11 (assume @p83 (forall @t11 (=> @t20 (forall @t7 (=> @t30 (= (= tptp.nil @t85) (and @t117 @t72))))))) % 67.86/68.11 (assume @p84 (forall @t11 (=> @t20 (= (tptp.app 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:premises (@p944 @p942 @p912) :args (@t614 @t327 (@list @t610 @t616))) % 67.86/68.12 (step @p946 :rule refl :args (@t617)) % 67.86/68.12 (step @p947 :rule refl :args (@t618)) % 67.86/68.12 (step @p948 :rule refl :args (@t331)) % 67.86/68.12 (step @p949 :rule bool-double-not-elim :args (@t474)) % 67.86/68.12 (step @p950 :rule refl :args (@t619)) % 67.86/68.12 (step @p951 :rule nary_cong :premises (@p950 @p949 @p948 @p947 @p946) :args ((or @t619 (not @t607) @t331 @t618 @t617))) % 67.86/68.12 (assume-push @p1019 @t614) % 67.86/68.12 (assume-push @p1020 @t373) % 67.86/68.12 (assume-push @p1021 @t330) % 67.86/68.12 (assume-push @p1022 @t349) % 67.86/68.12 (assume-push @p1023 @t607) % 67.86/68.12 (step @p434 :rule evaluate :args (@t356)) % 67.86/68.12 (step @p957 :rule true_intro :premises (@p1019)) % 67.86/68.12 (step @p958 :rule symm :premises (@p494)) % 67.86/68.12 (step @p959 :rule cong :premises (@p395) :args (@t346)) % 67.86/68.12 (step @p960 :rule trans :premises (@p959 @p958)) % 67.86/68.12 (step @p961 :rule refl :args (@t347)) % 67.86/68.12 (step @p962 :rule cong :premises (@p961 @p960) :args (@t348)) % 67.86/68.12 (step @p963 :rule trans :premises (@p1022 @p962)) % 67.86/68.12 (step @p964 :rule cong :premises (@p963) :args (@t474)) % 67.86/68.12 (step @p965 :rule false_intro :premises (@p1023)) % 67.86/68.12 (step @p966 :rule symm :premises (@p965)) % 67.86/68.12 (step @p967 :rule trans :premises (@p966 @p964 @p957)) % 67.86/68.12 (step @p968 false :rule eq_resolve :premises (@p967 @p434)) % 67.86/68.12 (step-pop @p1024 :rule scope :premises (@p968)) % 67.86/68.12 (step-pop @p1025 :rule scope :premises (@p1024)) % 67.86/68.12 (step-pop @p1026 :rule scope :premises (@p1025)) % 67.86/68.12 (step-pop @p1027 :rule scope :premises (@p1026)) % 67.86/68.12 (step-pop @p1028 :rule scope :premises (@p1027)) % 67.86/68.12 (step @p969 :rule process_scope :premises (@p1028) :args (false)) % 67.86/68.12 (assume-push @p1029 @t349) % 67.86/68.12 (assume-push @p1030 @t607) % 67.86/68.12 (assume-push @p1031 @t330) % 67.86/68.12 (assume-push @p1032 @t373) % 67.86/68.12 (assume-push @p1033 @t614) % 67.86/68.12 (step @p980 :rule and_intro :premises (@p1033 @p494 @p395 @p1029 @p1030)) % 67.86/68.12 (step-pop @p1034 :rule scope :premises (@p980)) % 67.86/68.12 (step-pop @p1035 :rule scope :premises (@p1034)) % 67.86/68.12 (step-pop @p1036 :rule scope :premises (@p1035)) % 67.86/68.12 (step-pop @p1037 :rule scope :premises (@p1036)) % 67.86/68.12 (step-pop @p1038 :rule scope :premises (@p1037)) % 67.86/68.12 (step @p981 :rule process_scope :premises (@p1038) :args (@t620)) % 67.86/68.12 (step @p987 :rule implies_elim :premises (@p981)) % 67.86/68.12 (step @p988 :rule resolution :premises (@p987 @p969) :args (true @t620)) % 67.86/68.12 (step @p989 :rule not_and :premises (@p988)) % 67.86/68.12 (step @p990 :rule eq_resolve :premises (@p989 @p951)) % 67.86/68.12 (step @p991 :rule reordering :premises (@p990) :args ((or @t474 @t619 @t331 @t618 @t617))) % 67.86/68.12 (step @p992 false :rule chain_m_resolution :premises (@p991 @p945 @p908 @p494 @p460 @p395) :args (false (@list false true false false false) (@list @t614 @t474 @t373 @t349 @t330))) % 67.86/68.12 ) % 67.86/68.12 % SZS output end Proof % 67.86/68.12 % cvc5 exiting %------------------------------------------------------------------------------