%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC165+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 : n014.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 08:58:18 AM UTC 2026 % Result : Theorem 35.42s 35.68s % Output : Proof 35.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC165+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 % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:20:43 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 35.42/35.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.42/35.68 --- Run --no-e-matching --full-saturate-quant at 6... % 35.42/35.68 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.42/35.68 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.42/35.68 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.42/35.68 % SZS status Theorem % 35.42/35.68 % SZS output start Proof % 35.42/35.68 ( % 35.42/35.68 (declare-sort $$unsorted 0) % 35.42/35.68 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 35.42/35.68 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 35.42/35.68 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 35.42/35.68 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 35.42/35.68 (declare-const tptp.nil $$unsorted) % 35.42/35.68 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.ssList (-> $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 35.42/35.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 35.42/35.68 (define @t1 () (@var "V" $$unsorted)) % 35.42/35.68 (define @t2 () (@var "U" $$unsorted)) % 35.42/35.68 (define @t3 () (= @t2 @t1)) % 35.42/35.68 (define @t4 () (not @t3)) % 35.42/35.68 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 35.42/35.68 (define @t6 () (tptp.ssItem @t1)) % 35.42/35.68 (define @t7 () (@list @t1)) % 35.42/35.68 (define @t8 () (forall @t7 (=> @t6 @t5))) % 35.42/35.68 (define @t9 () (tptp.ssItem @t2)) % 35.42/35.68 (define @t10 () (=> @t9 @t8)) % 35.42/35.68 (define @t11 () (@list @t2)) % 35.42/35.68 (define @t12 () (forall @t11 @t10)) % 35.42/35.68 (define @t13 () (@var "X" $$unsorted)) % 35.42/35.68 (define @t14 () (tptp.cons @t1 @t13)) % 35.42/35.68 (define @t15 () (@var "W" $$unsorted)) % 35.42/35.68 (define @t16 () (tptp.ssList @t13)) % 35.42/35.68 (define @t17 () (@list @t13)) % 35.42/35.68 (define @t18 () (tptp.ssList @t15)) % 35.42/35.68 (define @t19 () (@list @t15)) % 35.42/35.68 (define @t20 () (tptp.ssList @t2)) % 35.42/35.68 (define @t21 () (tptp.cons @t1 tptp.nil)) % 35.42/35.68 (define @t22 () (tptp.app @t1 @t15)) % 35.42/35.68 (define @t23 () (tptp.frontsegP @t2 @t1)) % 35.42/35.68 (define @t24 () (tptp.ssList @t1)) % 35.42/35.68 (define @t25 () (tptp.app @t15 @t1)) % 35.42/35.68 (define @t26 () (tptp.rearsegP @t2 @t1)) % 35.42/35.68 (define @t27 () (tptp.segmentP @t2 @t1)) % 35.42/35.68 (define @t28 () (tptp.leq @t15 @t1)) % 35.42/35.68 (define @t29 () (tptp.leq @t1 @t15)) % 35.42/35.68 (define @t30 () (@var "Z" $$unsorted)) % 35.42/35.68 (define @t31 () (@var "Y" $$unsorted)) % 35.42/35.68 (define @t32 () (tptp.app @t13 (tptp.cons @t1 @t31))) % 35.42/35.68 (define @t33 () (tptp.app @t32 (tptp.cons @t15 @t30))) % 35.42/35.68 (define @t34 () (= @t33 @t2)) % 35.42/35.68 (define @t35 () (tptp.ssList @t30)) % 35.42/35.68 (define @t36 () (@list @t30)) % 35.42/35.68 (define @t37 () (tptp.ssList @t31)) % 35.42/35.68 (define @t38 () (@list @t31)) % 35.42/35.68 (define @t39 () (tptp.ssItem @t15)) % 35.42/35.68 (define @t40 () (tptp.lt @t1 @t15)) % 35.42/35.68 (define @t41 () (= @t1 @t15)) % 35.42/35.68 (define @t42 () (not @t41)) % 35.42/35.68 (define @t43 () (=> @t34 @t42)) % 35.42/35.68 (define @t44 () (=> @t35 @t43)) % 35.42/35.68 (define @t45 () (forall @t36 @t44)) % 35.42/35.68 (define @t46 () (=> @t37 @t45)) % 35.42/35.68 (define @t47 () (forall @t38 @t46)) % 35.42/35.68 (define @t48 () (=> @t16 @t47)) % 35.42/35.68 (define @t49 () (forall @t17 @t48)) % 35.42/35.68 (define @t50 () (=> @t39 @t49)) % 35.42/35.68 (define @t51 () (forall @t19 @t50)) % 35.42/35.68 (define @t52 () (=> @t6 @t51)) % 35.42/35.68 (define @t53 () (forall @t7 @t52)) % 35.42/35.68 (define @t54 () (tptp.duplicatefreeP @t2)) % 35.42/35.68 (define @t55 () (= @t54 @t53)) % 35.42/35.68 (define @t56 () (=> @t20 @t55)) % 35.42/35.68 (define @t57 () (forall @t11 @t56)) % 35.42/35.68 (define @t58 () (tptp.cons @t1 @t2)) % 35.42/35.68 (define @t59 () (tptp.ssList @t58)) % 35.42/35.68 (define @t60 () (forall @t7 (=> @t6 @t59))) % 35.42/35.68 (define @t61 () (=> @t20 @t60)) % 35.42/35.68 (define @t62 () (forall @t11 @t61)) % 35.42/35.68 (define @t63 () (tptp.ssList tptp.nil)) % 35.42/35.68 (define @t64 () (= @t1 @t2)) % 35.42/35.68 (define @t65 () (tptp.cons @t15 @t1)) % 35.42/35.68 (define @t66 () (= tptp.nil @t2)) % 35.42/35.68 (define @t67 () (tptp.hd @t2)) % 35.42/35.68 (define @t68 () (not @t66)) % 35.42/35.68 (define @t69 () (tptp.tl @t2)) % 35.42/35.68 (define @t70 () (tptp.app @t2 @t1)) % 35.42/35.68 (define @t71 () (tptp.ssList @t70)) % 35.42/35.68 (define @t72 () (forall @t7 (=> @t24 @t71))) % 35.42/35.68 (define @t73 () (=> @t20 @t72)) % 35.42/35.68 (define @t74 () (forall @t11 @t73)) % 35.42/35.68 (define @t75 () (tptp.app @t1 @t2)) % 35.42/35.68 (define @t76 () (= (tptp.cons @t15 @t75) (tptp.app @t65 @t2))) % 35.42/35.68 (define @t77 () (forall @t19 (=> @t39 @t76))) % 35.42/35.68 (define @t78 () (=> @t24 @t77)) % 35.42/35.68 (define @t79 () (forall @t7 @t78)) % 35.42/35.68 (define @t80 () (=> @t20 @t79)) % 35.42/35.68 (define @t81 () (forall @t11 @t80)) % 35.42/35.68 (define @t82 () (tptp.app tptp.nil @t2)) % 35.42/35.68 (define @t83 () (=> @t20 (= @t82 @t2))) % 35.42/35.68 (define @t84 () (forall @t11 @t83)) % 35.42/35.68 (define @t85 () (tptp.leq @t1 @t2)) % 35.42/35.68 (define @t86 () (tptp.leq @t2 @t1)) % 35.42/35.68 (define @t87 () (tptp.geq @t2 @t1)) % 35.42/35.68 (define @t88 () (tptp.lt @t1 @t2)) % 35.42/35.68 (define @t89 () (tptp.lt @t2 @t1)) % 35.42/35.68 (define @t90 () (tptp.lt @t2 @t15)) % 35.42/35.68 (define @t91 () (tptp.gt @t2 @t1)) % 35.42/35.68 (define @t92 () (tptp.memberP @t15 @t2)) % 35.42/35.68 (define @t93 () (tptp.app @t15 @t2)) % 35.42/35.68 (define @t94 () (tptp.cons @t2 tptp.nil)) % 35.42/35.68 (define @t95 () (tptp.hd @t1)) % 35.42/35.68 (define @t96 () (= tptp.nil @t1)) % 35.42/35.68 (define @t97 () (not @t96)) % 35.42/35.68 (define @t98 () (tptp.cons @t2 @t1)) % 35.42/35.68 (define @t99 () (tptp.duplicatefreeP @t94)) % 35.42/35.68 (define @t100 () (forall @t11 (=> @t9 @t99))) % 35.42/35.68 (define @t101 () (tptp.duplicatefreeP tptp.nil)) % 35.42/35.68 (define @t102 () (= @t15 @t2)) % 35.42/35.68 (define @t103 () (= (tptp.app @t70 @t15) (tptp.app @t2 @t22))) % 35.42/35.68 (define @t104 () (forall @t19 (=> @t18 @t103))) % 35.42/35.68 (define @t105 () (=> @t24 @t104)) % 35.42/35.68 (define @t106 () (forall @t7 @t105)) % 35.42/35.68 (define @t107 () (=> @t20 @t106)) % 35.42/35.68 (define @t108 () (forall @t11 @t107)) % 35.42/35.68 (define @t109 () (not (= tptp.nil @t15))) % 35.42/35.68 (define @t110 () (not (= tptp.nil @t13))) % 35.42/35.68 (define @t111 () (or @t110 @t109)) % 35.42/35.68 (define @t112 () (@var "X3" $$unsorted)) % 35.42/35.68 (define @t113 () (@var "X7" $$unsorted)) % 35.42/35.68 (define @t114 () (tptp.lt @t113 @t112)) % 35.42/35.68 (define @t115 () (@var "X5" $$unsorted)) % 35.42/35.68 (define @t116 () (tptp.memberP @t115 @t113)) % 35.42/35.68 (define @t117 () (tptp.ssItem @t113)) % 35.42/35.68 (define @t118 () (and @t117 @t116 @t114)) % 35.42/35.68 (define @t119 () (@list @t113)) % 35.42/35.68 (define @t120 () (exists @t119 @t118)) % 35.42/35.68 (define @t121 () (@var "X6" $$unsorted)) % 35.42/35.68 (define @t122 () (tptp.lt @t112 @t121)) % 35.42/35.68 (define @t123 () (@var "X4" $$unsorted)) % 35.42/35.68 (define @t124 () (tptp.memberP @t123 @t121)) % 35.42/35.68 (define @t125 () (tptp.ssItem @t121)) % 35.42/35.68 (define @t126 () (and @t125 @t124 @t122)) % 35.42/35.68 (define @t127 () (@list @t121)) % 35.42/35.68 (define @t128 () (exists @t127 @t126)) % 35.42/35.68 (define @t129 () (tptp.app @t123 @t15)) % 35.42/35.68 (define @t130 () (tptp.app @t129 @t115)) % 35.42/35.68 (define @t131 () (not (= @t130 @t13))) % 35.42/35.68 (define @t132 () (tptp.cons @t112 tptp.nil)) % 35.42/35.68 (define @t133 () (not (= @t132 @t15))) % 35.42/35.68 (define @t134 () (or @t133 @t131 @t128 @t120)) % 35.42/35.68 (define @t135 () (tptp.ssList @t115)) % 35.42/35.68 (define @t136 () (=> @t135 @t134)) % 35.42/35.68 (define @t137 () (@list @t115)) % 35.42/35.68 (define @t138 () (forall @t137 @t136)) % 35.42/35.68 (define @t139 () (tptp.ssList @t123)) % 35.42/35.68 (define @t140 () (=> @t139 @t138)) % 35.42/35.68 (define @t141 () (@list @t123)) % 35.42/35.68 (define @t142 () (forall @t141 @t140)) % 35.42/35.68 (define @t143 () (tptp.ssItem @t112)) % 35.42/35.68 (define @t144 () (=> @t143 @t142)) % 35.42/35.68 (define @t145 () (@list @t112)) % 35.42/35.68 (define @t146 () (forall @t145 @t144)) % 35.42/35.68 (define @t147 () (and @t146 @t111)) % 35.42/35.68 (define @t148 () (tptp.neq @t31 @t30)) % 35.42/35.68 (define @t149 () (@var "X2" $$unsorted)) % 35.42/35.68 (define @t150 () (tptp.cons @t30 tptp.nil)) % 35.42/35.68 (define @t151 () (tptp.cons @t31 tptp.nil)) % 35.42/35.68 (define @t152 () (@var "X1" $$unsorted)) % 35.42/35.68 (define @t153 () (tptp.app (tptp.app @t152 @t151) @t150)) % 35.42/35.68 (define @t154 () (tptp.app @t153 @t149)) % 35.42/35.68 (define @t155 () (not (= @t154 @t2))) % 35.42/35.68 (define @t156 () (or @t155 @t148)) % 35.42/35.68 (define @t157 () (tptp.ssList @t149)) % 35.42/35.68 (define @t158 () (=> @t157 @t156)) % 35.42/35.68 (define @t159 () (@list @t149)) % 35.42/35.68 (define @t160 () (forall @t159 @t158)) % 35.42/35.68 (define @t161 () (tptp.ssList @t152)) % 35.42/35.68 (define @t162 () (=> @t161 @t160)) % 35.42/35.68 (define @t163 () (@list @t152)) % 35.42/35.68 (define @t164 () (forall @t163 @t162)) % 35.42/35.68 (define @t165 () (tptp.ssItem @t30)) % 35.42/35.68 (define @t166 () (=> @t165 @t164)) % 35.42/35.68 (define @t167 () (forall @t36 @t166)) % 35.42/35.68 (define @t168 () (tptp.ssItem @t31)) % 35.42/35.68 (define @t169 () (=> @t168 @t167)) % 35.42/35.68 (define @t170 () (forall @t38 @t169)) % 35.42/35.68 (define @t171 () (not (= @t2 @t15))) % 35.42/35.68 (define @t172 () (not (= @t1 @t13))) % 35.42/35.68 (define @t173 () (or @t172 @t171 @t170 @t147)) % 35.42/35.68 (define @t174 () (=> @t16 @t173)) % 35.42/35.68 (define @t175 () (forall @t17 @t174)) % 35.42/35.68 (define @t176 () (=> @t18 @t175)) % 35.42/35.68 (define @t177 () (forall @t19 @t176)) % 35.42/35.68 (define @t178 () (=> @t24 @t177)) % 35.42/35.68 (define @t179 () (forall @t7 @t178)) % 35.42/35.68 (define @t180 () (=> @t20 @t179)) % 35.42/35.68 (define @t181 () (forall @t11 @t180)) % 35.42/35.68 (define @t182 () (not @t181)) % 35.42/35.68 (define @t183 () (@var "BOUND_VARIABLE_9032" $$unsorted)) % 35.42/35.68 (define @t184 () (@var "BOUND_VARIABLE_9030" $$unsorted)) % 35.42/35.68 (define @t185 () (@var "BOUND_VARIABLE_9028" $$unsorted)) % 35.42/35.68 (define @t186 () (tptp.app (tptp.app @t185 (tptp.cons @t1 @t184)) (tptp.cons @t1 @t183))) % 35.42/35.68 (define @t187 () (not (= @t2 @t186))) % 35.42/35.68 (define @t188 () (not (tptp.ssList @t183))) % 35.42/35.68 (define @t189 () (not (tptp.ssList @t184))) % 35.42/35.68 (define @t190 () (not (tptp.ssList @t185))) % 35.42/35.68 (define @t191 () (not @t6)) % 35.42/35.68 (define @t192 () (or @t191 @t190 @t189 @t188 @t187)) % 35.42/35.68 (define @t193 () (@list @t1 @t185 @t184 @t183)) % 35.42/35.68 (define @t194 () (= @t54 (forall @t193 @t192))) % 35.42/35.68 (define @t195 () (or @t190 @t189 @t188 @t187)) % 35.42/35.68 (define @t196 () (or @t191 @t195)) % 35.42/35.68 (define @t197 () (forall @t193 @t196)) % 35.42/35.68 (define @t198 () (@list @t185 @t184 @t183)) % 35.42/35.68 (define @t199 () (forall @t198 @t196)) % 35.42/35.68 (define @t200 () (forall @t198 @t195)) % 35.42/35.68 (define @t201 () (@var "BOUND_VARIABLE_8990" $$unsorted)) % 35.42/35.68 (define @t202 () (@var "BOUND_VARIABLE_8988" $$unsorted)) % 35.42/35.68 (define @t203 () (@var "BOUND_VARIABLE_8986" $$unsorted)) % 35.42/35.68 (define @t204 () (@list @t203 @t202 @t201)) % 35.42/35.68 (define @t205 () (or @t191 @t200)) % 35.42/35.68 (define @t206 () (tptp.app @t203 (tptp.cons @t1 @t202))) % 35.42/35.68 (define @t207 () (not (= @t2 (tptp.app @t206 (tptp.cons @t1 @t201))))) % 35.42/35.68 (define @t208 () (not (tptp.ssList @t201))) % 35.42/35.68 (define @t209 () (not (tptp.ssList @t202))) % 35.42/35.68 (define @t210 () (not (tptp.ssList @t203))) % 35.42/35.68 (define @t211 () (or @t210 @t209 @t208 @t207)) % 35.42/35.68 (define @t212 () (@list @t203 @t202 @t201)) % 35.42/35.68 (define @t213 () (or @t191 (forall @t212 @t211))) % 35.42/35.68 (define @t214 () (or @t191 @t211)) % 35.42/35.68 (define @t215 () (or @t191 @t210 @t209 @t208 @t207)) % 35.42/35.68 (define @t216 () (not (= @t1 @t1))) % 35.42/35.68 (define @t217 () (or @t191 @t216 @t210 @t209 @t208 @t207)) % 35.42/35.68 (define @t218 () (not (= @t2 (tptp.app @t206 (tptp.cons @t15 @t201))))) % 35.42/35.68 (define @t219 () (not @t39)) % 35.42/35.68 (define @t220 () (or @t42 @t219 @t42 @t210 @t209 @t208 @t218)) % 35.42/35.68 (define @t221 () (or @t219 @t42 @t210 @t209 @t208 @t218)) % 35.42/35.68 (define @t222 () (forall @t19 @t221)) % 35.42/35.68 (define @t223 () (forall @t212 @t222)) % 35.42/35.68 (define @t224 () (forall (@list @t203 @t202 @t201 @t15) @t221)) % 35.42/35.68 (define @t225 () (@list @t15 @t203 @t202 @t201)) % 35.42/35.68 (define @t226 () (or @t210 @t209 @t208 @t218)) % 35.42/35.68 (define @t227 () (or @t219 @t42 @t226)) % 35.42/35.68 (define @t228 () (forall @t225 @t227)) % 35.42/35.68 (define @t229 () (forall @t212 @t227)) % 35.42/35.68 (define @t230 () (forall @t212 @t226)) % 35.42/35.68 (define @t231 () (@var "BOUND_VARIABLE_8527" $$unsorted)) % 35.42/35.68 (define @t232 () (@var "BOUND_VARIABLE_8525" $$unsorted)) % 35.42/35.68 (define @t233 () (or @t219 @t42 @t230)) % 35.42/35.68 (define @t234 () (not (= @t2 (tptp.app (tptp.app @t13 (tptp.cons @t1 @t232)) (tptp.cons @t15 @t231))))) % 35.42/35.68 (define @t235 () (not (tptp.ssList @t231))) % 35.42/35.68 (define @t236 () (not (tptp.ssList @t232))) % 35.42/35.68 (define @t237 () (not @t16)) % 35.42/35.68 (define @t238 () (or @t237 @t236 @t235 @t234)) % 35.42/35.68 (define @t239 () (@list @t13 @t232 @t231)) % 35.42/35.68 (define @t240 () (forall @t239 @t238)) % 35.42/35.68 (define @t241 () (or @t219 @t42 @t240)) % 35.42/35.68 (define @t242 () (or @t42 @t240)) % 35.42/35.68 (define @t243 () (or @t236 @t235 @t234)) % 35.42/35.68 (define @t244 () (or @t237 @t243)) % 35.42/35.68 (define @t245 () (forall @t239 @t244)) % 35.42/35.68 (define @t246 () (@list @t232 @t231)) % 35.42/35.68 (define @t247 () (forall @t246 @t244)) % 35.42/35.68 (define @t248 () (forall @t246 @t243)) % 35.42/35.68 (define @t249 () (@var "BOUND_VARIABLE_8503" $$unsorted)) % 35.42/35.68 (define @t250 () (or @t237 @t248)) % 35.42/35.68 (define @t251 () (not (= @t2 (tptp.app @t32 (tptp.cons @t15 @t249))))) % 35.42/35.68 (define @t252 () (not (tptp.ssList @t249))) % 35.42/35.68 (define @t253 () (not @t37)) % 35.42/35.68 (define @t254 () (or @t253 @t252 @t251)) % 35.42/35.68 (define @t255 () (@list @t31 @t249)) % 35.42/35.68 (define @t256 () (forall @t255 @t254)) % 35.42/35.68 (define @t257 () (or @t237 @t256)) % 35.42/35.68 (define @t258 () (forall @t17 @t257)) % 35.42/35.68 (define @t259 () (or @t42 @t258)) % 35.42/35.68 (define @t260 () (or @t42 @t257)) % 35.42/35.68 (define @t261 () (or @t237 @t42 @t256)) % 35.42/35.68 (define @t262 () (or @t42 @t256)) % 35.42/35.68 (define @t263 () (or @t252 @t251)) % 35.42/35.68 (define @t264 () (or @t253 @t263)) % 35.42/35.68 (define @t265 () (forall @t255 @t264)) % 35.42/35.68 (define @t266 () (@list @t249)) % 35.42/35.68 (define @t267 () (forall @t266 @t264)) % 35.42/35.68 (define @t268 () (forall @t266 @t263)) % 35.42/35.68 (define @t269 () (or @t253 @t268)) % 35.42/35.68 (define @t270 () (= @t2 @t33)) % 35.42/35.68 (define @t271 () (not @t270)) % 35.42/35.68 (define @t272 () (not @t35)) % 35.42/35.68 (define @t273 () (or @t272 @t271)) % 35.42/35.68 (define @t274 () (forall @t36 @t273)) % 35.42/35.68 (define @t275 () (or @t253 @t274)) % 35.42/35.68 (define @t276 () (forall @t38 @t275)) % 35.42/35.68 (define @t277 () (or @t42 @t276)) % 35.42/35.68 (define @t278 () (or @t42 @t275)) % 35.42/35.68 (define @t279 () (or @t253 @t42 @t274)) % 35.42/35.68 (define @t280 () (or @t42 @t274)) % 35.42/35.68 (define @t281 () (or @t42 @t273)) % 35.42/35.68 (define @t282 () (or @t272 @t271 @t42)) % 35.42/35.68 (define @t283 () (=> @t270 @t42)) % 35.42/35.68 (define @t284 () (@var "BOUND_VARIABLE_11433" $$unsorted)) % 35.42/35.68 (define @t285 () (@var "BOUND_VARIABLE_11429" $$unsorted)) % 35.42/35.68 (define @t286 () (@var "BOUND_VARIABLE_11427" $$unsorted)) % 35.42/35.68 (define @t287 () (@var "BOUND_VARIABLE_11431" $$unsorted)) % 35.42/35.68 (define @t288 () (tptp.app (tptp.app (tptp.app @t287 (tptp.cons @t286 tptp.nil)) (tptp.cons @t285 tptp.nil)) @t284)) % 35.42/35.68 (define @t289 () (@var "BOUND_VARIABLE_11452" $$unsorted)) % 35.42/35.68 (define @t290 () (not (= tptp.nil @t289))) % 35.42/35.68 (define @t291 () (@var "BOUND_VARIABLE_11454" $$unsorted)) % 35.42/35.68 (define @t292 () (@var "BOUND_VARIABLE_11458" $$unsorted)) % 35.42/35.68 (define @t293 () (not @t117)) % 35.42/35.68 (define @t294 () (not (forall @t119 (or @t293 (not (tptp.memberP @t292 @t113)) (not (tptp.lt @t113 @t291)))))) % 35.42/35.68 (define @t295 () (@var "BOUND_VARIABLE_11456" $$unsorted)) % 35.42/35.68 (define @t296 () (not (tptp.ssList @t292))) % 35.42/35.68 (define @t297 () (not @t125)) % 35.42/35.68 (define @t298 () (not (forall @t127 (or @t297 (not (tptp.memberP @t295 @t121)) (not (tptp.lt @t291 @t121)))))) % 35.42/35.68 (define @t299 () (not (tptp.ssList @t295))) % 35.42/35.68 (define @t300 () (tptp.cons @t291 tptp.nil)) % 35.42/35.68 (define @t301 () (not (tptp.ssItem @t291))) % 35.42/35.68 (define @t302 () (or @t301 (not (= @t288 @t300)) @t299 @t298 @t296 (not (= @t289 (tptp.app (tptp.app @t295 @t288) @t292))) @t294)) % 35.42/35.68 (define @t303 () (and @t302 (or @t290 (not (= tptp.nil @t288))))) % 35.42/35.68 (define @t304 () (not (tptp.ssList @t289))) % 35.42/35.68 (define @t305 () (not (tptp.ssList @t284))) % 35.42/35.68 (define @t306 () (not (tptp.ssList @t287))) % 35.42/35.68 (define @t307 () (tptp.neq @t286 @t285)) % 35.42/35.68 (define @t308 () (not (tptp.ssItem @t285))) % 35.42/35.68 (define @t309 () (not (tptp.ssItem @t286))) % 35.42/35.68 (define @t310 () (not (tptp.ssList @t288))) % 35.42/35.68 (define @t311 () (or @t310 @t309 @t308 @t307 @t306 @t305 @t304 @t303)) % 35.42/35.68 (define @t312 () (@list @t286 @t285 @t287 @t284 @t289 @t291 @t295 @t292)) % 35.42/35.68 (define @t313 () (forall @t312 @t311)) % 35.42/35.68 (define @t314 () (@quantifiers_skolemize @t313 3)) % 35.42/35.68 (define @t315 () (@quantifiers_skolemize @t313 1)) % 35.42/35.68 (define @t316 () (tptp.cons @t315 tptp.nil)) % 35.42/35.68 (define @t317 () (@quantifiers_skolemize @t313 0)) % 35.42/35.68 (define @t318 () (tptp.cons @t317 tptp.nil)) % 35.42/35.68 (define @t319 () (@quantifiers_skolemize @t313 2)) % 35.42/35.68 (define @t320 () (tptp.app @t319 @t318)) % 35.42/35.68 (define @t321 () (tptp.app (tptp.app @t320 @t316) @t314)) % 35.42/35.68 (define @t322 () (not (= @t321 @t186))) % 35.42/35.68 (define @t323 () (or @t191 @t190 @t189 @t188 @t322)) % 35.42/35.68 (define @t324 () (forall @t193 @t323)) % 35.42/35.68 (define @t325 () (tptp.duplicatefreeP @t321)) % 35.42/35.68 (define @t326 () (= @t325 @t324)) % 35.42/35.68 (define @t327 () (tptp.ssList @t321)) % 35.42/35.68 (define @t328 () (not @t327)) % 35.42/35.68 (define @t329 () (or @t328 @t326)) % 35.42/35.68 (define @t330 () (not @t20)) % 35.42/35.68 (define @t331 () (forall @t11 (or @t330 @t194))) % 35.42/35.68 (define @t332 () (forall @t193 (or @t191 @t190 @t189 @t188 (not (= @t186 @t321))))) % 35.42/35.68 (define @t333 () (= @t325 @t332)) % 35.42/35.68 (define @t334 () (or @t328 @t333)) % 35.42/35.68 (define @t335 () (not (= @t288 tptp.nil))) % 35.42/35.68 (define @t336 () (or @t290 @t335)) % 35.42/35.68 (define @t337 () (and @t302 @t336)) % 35.42/35.68 (define @t338 () (not (= @t288 @t288))) % 35.42/35.68 (define @t339 () (or @t310 @t309 @t308 @t307 @t306 @t305 @t338 @t304 @t337)) % 35.42/35.68 (define @t340 () (not (= @t2 tptp.nil))) % 35.42/35.68 (define @t341 () (or @t301 (not (= @t2 @t300)) @t299 @t298 @t296 (not (= @t289 (tptp.app (tptp.app @t295 @t2) @t292))) @t294)) % 35.42/35.68 (define @t342 () (and @t341 (or @t290 @t340))) % 35.42/35.68 (define @t343 () (not (= @t2 @t288))) % 35.42/35.68 (define @t344 () (or @t343 @t330 @t309 @t308 @t307 @t306 @t305 @t343 @t304 @t342)) % 35.42/35.68 (define @t345 () (or @t330 @t309 @t308 @t307 @t306 @t305 @t343 @t304 @t342)) % 35.42/35.68 (define @t346 () (forall @t11 @t345)) % 35.42/35.68 (define @t347 () (forall @t312 @t346)) % 35.42/35.68 (define @t348 () (forall (@list @t286 @t285 @t287 @t284 @t289 @t291 @t295 @t292 @t2) @t345)) % 35.42/35.68 (define @t349 () (@list @t2 @t286 @t285 @t287 @t284 @t289 @t291 @t295 @t292)) % 35.42/35.68 (define @t350 () (not (= @t289 tptp.nil))) % 35.42/35.68 (define @t351 () (or @t350 @t340)) % 35.42/35.68 (define @t352 () (and @t341 @t351)) % 35.42/35.68 (define @t353 () (or @t330 @t309 @t308 @t307 @t306 @t305 @t343 @t304 @t352)) % 35.42/35.68 (define @t354 () (or @t304 @t352)) % 35.42/35.68 (define @t355 () (or @t309 @t308 @t307 @t306 @t305 @t343)) % 35.42/35.68 (define @t356 () (or @t330 @t355 @t354)) % 35.42/35.68 (define @t357 () (forall @t349 @t356)) % 35.42/35.68 (define @t358 () (forall @t312 @t356)) % 35.42/35.68 (define @t359 () (forall (@list @t289 @t291 @t295 @t292) @t354)) % 35.42/35.68 (define @t360 () (@var "BOUND_VARIABLE_11388" $$unsorted)) % 35.42/35.68 (define @t361 () (@var "BOUND_VARIABLE_11386" $$unsorted)) % 35.42/35.68 (define @t362 () (@var "BOUND_VARIABLE_11384" $$unsorted)) % 35.42/35.68 (define @t363 () (forall (@list @t286 @t285 @t287 @t284) @t355)) % 35.42/35.68 (define @t364 () (@var "BOUND_VARIABLE_11044" $$unsorted)) % 35.42/35.68 (define @t365 () (@var "BOUND_VARIABLE_11042" $$unsorted)) % 35.42/35.68 (define @t366 () (@var "BOUND_VARIABLE_11040" $$unsorted)) % 35.42/35.68 (define @t367 () (or @t330 @t363 @t359)) % 35.42/35.68 (define @t368 () (not (= @t1 tptp.nil))) % 35.42/35.68 (define @t369 () (or @t368 @t340)) % 35.42/35.68 (define @t370 () (or (not (tptp.ssItem @t362)) (not (= @t2 (tptp.cons @t362 tptp.nil))) (not (tptp.ssList @t361)) (not (forall @t127 (or @t297 (not (tptp.memberP @t361 @t121)) (not (tptp.lt @t362 @t121))))) (not (tptp.ssList @t360)) (not (= @t1 (tptp.app (tptp.app @t361 @t2) @t360))) (not (forall @t119 (or @t293 (not (tptp.memberP @t360 @t113)) (not (tptp.lt @t113 @t362))))))) % 35.42/35.68 (define @t371 () (and @t370 @t369)) % 35.42/35.68 (define @t372 () (not @t24)) % 35.42/35.68 (define @t373 () (or @t372 @t371)) % 35.42/35.68 (define @t374 () (forall (@list @t1 @t362 @t361 @t360) @t373)) % 35.42/35.68 (define @t375 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t365 @t151) (tptp.cons @t366 tptp.nil)) @t364)))) % 35.42/35.68 (define @t376 () (not (tptp.ssList @t364))) % 35.42/35.68 (define @t377 () (not (tptp.ssList @t365))) % 35.42/35.68 (define @t378 () (tptp.neq @t31 @t366)) % 35.42/35.68 (define @t379 () (not (tptp.ssItem @t366))) % 35.42/35.68 (define @t380 () (not @t168)) % 35.42/35.68 (define @t381 () (or @t380 @t379 @t378 @t377 @t376 @t375)) % 35.42/35.68 (define @t382 () (@list @t31 @t366 @t365 @t364)) % 35.42/35.68 (define @t383 () (forall @t382 @t381)) % 35.42/35.68 (define @t384 () (or @t330 @t383 @t374)) % 35.42/35.68 (define @t385 () (or @t383 @t330 @t374)) % 35.42/35.68 (define @t386 () (@list @t362 @t361 @t360)) % 35.42/35.68 (define @t387 () (forall @t386 @t373)) % 35.42/35.68 (define @t388 () (forall @t386 @t369)) % 35.42/35.68 (define @t389 () (forall @t386 @t370)) % 35.42/35.68 (define @t390 () (@var "BOUND_VARIABLE_11335" $$unsorted)) % 35.42/35.68 (define @t391 () (@var "BOUND_VARIABLE_11333" $$unsorted)) % 35.42/35.68 (define @t392 () (@var "BOUND_VARIABLE_11331" $$unsorted)) % 35.42/35.68 (define @t393 () (@list @t392 @t391 @t390)) % 35.42/35.68 (define @t394 () (and @t389 @t388)) % 35.42/35.68 (define @t395 () (forall @t386 @t371)) % 35.42/35.68 (define @t396 () (or @t372 @t395)) % 35.42/35.68 (define @t397 () (and (forall (@list @t392 @t391 @t390) (or (not (tptp.ssItem @t392)) (not (= @t2 (tptp.cons @t392 tptp.nil))) (not (tptp.ssList @t391)) (not (forall @t127 (or @t297 (not (tptp.memberP @t391 @t121)) (not (tptp.lt @t392 @t121))))) (not (tptp.ssList @t390)) (not (= @t1 (tptp.app (tptp.app @t391 @t2) @t390))) (not (forall @t119 (or @t293 (not (tptp.memberP @t390 @t113)) (not (tptp.lt @t113 @t392))))))) @t369)) % 35.42/35.68 (define @t398 () (or @t372 @t397)) % 35.42/35.68 (define @t399 () (forall @t7 @t398)) % 35.42/35.68 (define @t400 () (or @t383 @t330 @t399)) % 35.42/35.68 (define @t401 () (or @t383 @t330 @t398)) % 35.42/35.68 (define @t402 () (or @t372 @t383 @t330 @t397)) % 35.42/35.68 (define @t403 () (or @t383 @t372 @t330 @t397)) % 35.42/35.68 (define @t404 () (@var "BOUND_VARIABLE_11278" $$unsorted)) % 35.42/35.68 (define @t405 () (@var "BOUND_VARIABLE_11276" $$unsorted)) % 35.42/35.68 (define @t406 () (@var "BOUND_VARIABLE_11274" $$unsorted)) % 35.42/35.68 (define @t407 () (@list @t406 @t405 @t404)) % 35.42/35.68 (define @t408 () (forall @t407 @t369)) % 35.42/35.68 (define @t409 () (not (forall @t119 (or @t293 (not (tptp.memberP @t404 @t113)) (not (tptp.lt @t113 @t406)))))) % 35.42/35.68 (define @t410 () (not (tptp.ssList @t404))) % 35.42/35.68 (define @t411 () (not (forall @t127 (or @t297 (not (tptp.memberP @t405 @t121)) (not (tptp.lt @t406 @t121)))))) % 35.42/35.68 (define @t412 () (not (tptp.ssList @t405))) % 35.42/35.68 (define @t413 () (tptp.cons @t406 tptp.nil)) % 35.42/35.68 (define @t414 () (not (tptp.ssItem @t406))) % 35.42/35.68 (define @t415 () (or @t414 (not (= @t2 @t413)) @t412 @t411 @t410 (not (= @t1 (tptp.app (tptp.app @t405 @t2) @t404))) @t409)) % 35.42/35.68 (define @t416 () (forall @t407 @t415)) % 35.42/35.68 (define @t417 () (@list @t406 @t405 @t404)) % 35.42/35.68 (define @t418 () (and @t416 @t408)) % 35.42/35.68 (define @t419 () (and @t415 @t369)) % 35.42/35.68 (define @t420 () (forall @t407 @t419)) % 35.42/35.68 (define @t421 () (or @t330 @t420)) % 35.42/35.68 (define @t422 () (or @t330 @t419)) % 35.42/35.68 (define @t423 () (not (= @t2 @t2))) % 35.42/35.68 (define @t424 () (or @t330 @t423 @t419)) % 35.42/35.68 (define @t425 () (not (= @t15 tptp.nil))) % 35.42/35.68 (define @t426 () (or @t368 @t425)) % 35.42/35.68 (define @t427 () (or @t414 (not (= @t15 @t413)) @t412 @t411 @t410 (not (= @t1 (tptp.app (tptp.app @t405 @t15) @t404))) @t409)) % 35.42/35.68 (define @t428 () (and @t427 @t426)) % 35.42/35.68 (define @t429 () (not @t18)) % 35.42/35.68 (define @t430 () (or @t171 @t429 @t171 @t428)) % 35.42/35.68 (define @t431 () (or @t429 @t171 @t428)) % 35.42/35.68 (define @t432 () (forall @t19 @t431)) % 35.42/35.68 (define @t433 () (forall @t407 @t432)) % 35.42/35.68 (define @t434 () (forall (@list @t406 @t405 @t404 @t15) @t431)) % 35.42/35.68 (define @t435 () (forall (@list @t15 @t406 @t405 @t404) @t431)) % 35.42/35.68 (define @t436 () (forall @t407 @t431)) % 35.42/35.68 (define @t437 () (forall @t407 @t426)) % 35.42/35.68 (define @t438 () (forall @t407 @t427)) % 35.42/35.68 (define @t439 () (@var "BOUND_VARIABLE_11225" $$unsorted)) % 35.42/35.68 (define @t440 () (@var "BOUND_VARIABLE_11223" $$unsorted)) % 35.42/35.68 (define @t441 () (@var "BOUND_VARIABLE_11221" $$unsorted)) % 35.42/35.68 (define @t442 () (@list @t441 @t440 @t439)) % 35.42/35.68 (define @t443 () (and @t438 @t437)) % 35.42/35.68 (define @t444 () (forall @t407 @t428)) % 35.42/35.68 (define @t445 () (or @t429 @t171 @t444)) % 35.42/35.68 (define @t446 () (and (forall (@list @t441 @t440 @t439) (or (not (tptp.ssItem @t441)) (not (= @t15 (tptp.cons @t441 tptp.nil))) (not (tptp.ssList @t440)) (not (forall @t127 (or @t297 (not (tptp.memberP @t440 @t121)) (not (tptp.lt @t441 @t121))))) (not (tptp.ssList @t439)) (not (= @t1 (tptp.app (tptp.app @t440 @t15) @t439))) (not (forall @t119 (or @t293 (not (tptp.memberP @t439 @t113)) (not (tptp.lt @t113 @t441))))))) @t426)) % 35.42/35.68 (define @t447 () (or @t429 @t171 @t446)) % 35.42/35.68 (define @t448 () (forall @t19 @t447)) % 35.42/35.68 (define @t449 () (or @t383 @t372 @t448)) % 35.42/35.68 (define @t450 () (or @t383 @t372 @t447)) % 35.42/35.68 (define @t451 () (or @t429 @t171 @t383 @t372 @t446)) % 35.42/35.68 (define @t452 () (or @t171 @t383 @t372 @t446)) % 35.42/35.68 (define @t453 () (@var "BOUND_VARIABLE_11174" $$unsorted)) % 35.42/35.68 (define @t454 () (@var "BOUND_VARIABLE_11172" $$unsorted)) % 35.42/35.68 (define @t455 () (@var "BOUND_VARIABLE_11170" $$unsorted)) % 35.42/35.68 (define @t456 () (@list @t455 @t454 @t453)) % 35.42/35.68 (define @t457 () (forall @t456 @t426)) % 35.42/35.68 (define @t458 () (not (forall @t119 (or @t293 (not (tptp.memberP @t453 @t113)) (not (tptp.lt @t113 @t455)))))) % 35.42/35.68 (define @t459 () (tptp.app (tptp.app @t454 @t15) @t453)) % 35.42/35.68 (define @t460 () (not (tptp.ssList @t453))) % 35.42/35.68 (define @t461 () (not (forall @t127 (or @t297 (not (tptp.memberP @t454 @t121)) (not (tptp.lt @t455 @t121)))))) % 35.42/35.68 (define @t462 () (not (tptp.ssList @t454))) % 35.42/35.68 (define @t463 () (not (= @t15 (tptp.cons @t455 tptp.nil)))) % 35.42/35.68 (define @t464 () (not (tptp.ssItem @t455))) % 35.42/35.68 (define @t465 () (or @t464 @t463 @t462 @t461 @t460 (not (= @t1 @t459)) @t458)) % 35.42/35.68 (define @t466 () (forall @t456 @t465)) % 35.42/35.68 (define @t467 () (@list @t455 @t454 @t453)) % 35.42/35.68 (define @t468 () (and @t466 @t457)) % 35.42/35.68 (define @t469 () (and @t465 @t426)) % 35.42/35.68 (define @t470 () (forall @t456 @t469)) % 35.42/35.68 (define @t471 () (or @t372 @t470)) % 35.42/35.68 (define @t472 () (or @t372 @t469)) % 35.42/35.68 (define @t473 () (or @t372 @t216 @t469)) % 35.42/35.68 (define @t474 () (or (not (= @t13 tptp.nil)) @t425)) % 35.42/35.68 (define @t475 () (or @t464 @t463 @t462 @t461 @t460 (not (= @t13 @t459)) @t458)) % 35.42/35.68 (define @t476 () (and @t475 @t474)) % 35.42/35.68 (define @t477 () (or @t172 @t237 @t172 @t476)) % 35.42/35.68 (define @t478 () (or @t237 @t172 @t476)) % 35.42/35.68 (define @t479 () (forall @t17 @t478)) % 35.42/35.68 (define @t480 () (forall @t456 @t479)) % 35.42/35.68 (define @t481 () (forall (@list @t455 @t454 @t453 @t13) @t478)) % 35.42/35.68 (define @t482 () (forall (@list @t13 @t455 @t454 @t453) @t478)) % 35.42/35.68 (define @t483 () (forall @t456 @t478)) % 35.42/35.68 (define @t484 () (forall @t456 @t474)) % 35.42/35.68 (define @t485 () (forall @t456 @t475)) % 35.42/35.68 (define @t486 () (@var "BOUND_VARIABLE_11130" $$unsorted)) % 35.42/35.68 (define @t487 () (@var "BOUND_VARIABLE_11128" $$unsorted)) % 35.42/35.68 (define @t488 () (and @t485 @t484)) % 35.42/35.68 (define @t489 () (forall @t456 @t476)) % 35.42/35.68 (define @t490 () (or @t237 @t172 @t489)) % 35.42/35.68 (define @t491 () (not @t114)) % 35.42/35.68 (define @t492 () (not (forall @t119 (or @t293 (not (tptp.memberP @t486 @t113)) @t491)))) % 35.42/35.68 (define @t493 () (not (= @t13 (tptp.app (tptp.app @t487 @t15) @t486)))) % 35.42/35.68 (define @t494 () (not (tptp.ssList @t486))) % 35.42/35.68 (define @t495 () (not @t122)) % 35.42/35.68 (define @t496 () (not (forall @t127 (or @t297 (not (tptp.memberP @t487 @t121)) @t495)))) % 35.42/35.68 (define @t497 () (not (tptp.ssList @t487))) % 35.42/35.68 (define @t498 () (not (= @t15 @t132))) % 35.42/35.68 (define @t499 () (not @t143)) % 35.42/35.68 (define @t500 () (or @t499 @t498 @t497 @t496 @t494 @t493 @t492)) % 35.42/35.68 (define @t501 () (@list @t112 @t487 @t486)) % 35.42/35.68 (define @t502 () (and (forall @t501 @t500) @t474)) % 35.42/35.68 (define @t503 () (or @t237 @t172 @t502)) % 35.42/35.68 (define @t504 () (forall @t17 @t503)) % 35.42/35.68 (define @t505 () (or @t171 @t383 @t504)) % 35.42/35.68 (define @t506 () (or @t171 @t383 @t503)) % 35.42/35.68 (define @t507 () (or @t237 @t172 @t171 @t383 @t502)) % 35.42/35.68 (define @t508 () (or @t172 @t171 @t383 @t502)) % 35.42/35.68 (define @t509 () (or @t497 @t496 @t494 @t493 @t492)) % 35.42/35.68 (define @t510 () (or @t499 @t498 @t509)) % 35.42/35.68 (define @t511 () (forall @t501 @t510)) % 35.42/35.68 (define @t512 () (@list @t487 @t486)) % 35.42/35.68 (define @t513 () (forall @t512 @t510)) % 35.42/35.68 (define @t514 () (forall @t512 @t509)) % 35.42/35.68 (define @t515 () (@var "BOUND_VARIABLE_11104" $$unsorted)) % 35.42/35.68 (define @t516 () (or @t499 @t498 @t514)) % 35.42/35.68 (define @t517 () (not (forall @t119 (or @t293 (not (tptp.memberP @t515 @t113)) @t491)))) % 35.42/35.68 (define @t518 () (not (= @t13 (tptp.app @t129 @t515)))) % 35.42/35.68 (define @t519 () (not (tptp.ssList @t515))) % 35.42/35.68 (define @t520 () (not @t124)) % 35.42/35.68 (define @t521 () (or @t297 @t520 @t495)) % 35.42/35.68 (define @t522 () (not (forall @t127 @t521))) % 35.42/35.68 (define @t523 () (not @t139)) % 35.42/35.68 (define @t524 () (or @t523 @t522 @t519 @t518 @t517)) % 35.42/35.68 (define @t525 () (@list @t123 @t515)) % 35.42/35.68 (define @t526 () (forall @t525 @t524)) % 35.42/35.68 (define @t527 () (or @t499 @t498 @t526)) % 35.42/35.68 (define @t528 () (or @t498 @t526)) % 35.42/35.68 (define @t529 () (or @t519 @t518 @t517)) % 35.42/35.68 (define @t530 () (or @t523 @t522 @t529)) % 35.42/35.68 (define @t531 () (forall @t525 @t530)) % 35.42/35.68 (define @t532 () (@list @t515)) % 35.42/35.68 (define @t533 () (forall @t532 @t530)) % 35.42/35.68 (define @t534 () (forall @t532 @t529)) % 35.42/35.68 (define @t535 () (or @t523 @t522 @t534)) % 35.42/35.69 (define @t536 () (not @t116)) % 35.42/35.69 (define @t537 () (or @t293 @t536 @t491)) % 35.42/35.69 (define @t538 () (not (forall @t119 @t537))) % 35.42/35.69 (define @t539 () (not (= @t13 @t130))) % 35.42/35.69 (define @t540 () (not @t135)) % 35.42/35.69 (define @t541 () (or @t540 @t539 @t538)) % 35.42/35.69 (define @t542 () (forall @t137 @t541)) % 35.42/35.69 (define @t543 () (or @t523 @t522 @t542)) % 35.42/35.69 (define @t544 () (forall @t141 @t543)) % 35.42/35.69 (define @t545 () (or @t498 @t544)) % 35.42/35.69 (define @t546 () (or @t498 @t543)) % 35.42/35.69 (define @t547 () (or @t523 @t498 @t522 @t542)) % 35.42/35.69 (define @t548 () (or @t498 @t522 @t542)) % 35.42/35.69 (define @t549 () (or @t498 @t522 @t541)) % 35.42/35.69 (define @t550 () (or @t540 @t498 @t539 @t522 @t538)) % 35.42/35.69 (define @t551 () (or @t498 @t539 @t522 @t538)) % 35.42/35.69 (define @t552 () (forall @t119 (not @t118))) % 35.42/35.69 (define @t553 () (not @t552)) % 35.42/35.69 (define @t554 () (forall @t127 (not @t126))) % 35.42/35.69 (define @t555 () (not @t554)) % 35.42/35.69 (define @t556 () (or @t379 @t378 @t377 @t376 @t375)) % 35.42/35.69 (define @t557 () (or @t380 @t556)) % 35.42/35.69 (define @t558 () (forall @t382 @t557)) % 35.42/35.69 (define @t559 () (@list @t366 @t365 @t364)) % 35.42/35.69 (define @t560 () (forall @t559 @t557)) % 35.42/35.69 (define @t561 () (forall @t559 @t556)) % 35.42/35.69 (define @t562 () (@var "BOUND_VARIABLE_11018" $$unsorted)) % 35.42/35.69 (define @t563 () (@var "BOUND_VARIABLE_11016" $$unsorted)) % 35.42/35.69 (define @t564 () (or @t380 @t561)) % 35.42/35.69 (define @t565 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t563 @t151) @t150) @t562)))) % 35.42/35.69 (define @t566 () (not (tptp.ssList @t562))) % 35.42/35.69 (define @t567 () (not (tptp.ssList @t563))) % 35.42/35.69 (define @t568 () (not @t165)) % 35.42/35.69 (define @t569 () (or @t568 @t148 @t567 @t566 @t565)) % 35.42/35.69 (define @t570 () (@list @t30 @t563 @t562)) % 35.42/35.69 (define @t571 () (forall @t570 @t569)) % 35.42/35.69 (define @t572 () (or @t567 @t566 @t565)) % 35.42/35.69 (define @t573 () (or @t568 @t148 @t572)) % 35.42/35.69 (define @t574 () (forall @t570 @t573)) % 35.42/35.69 (define @t575 () (@list @t563 @t562)) % 35.42/35.69 (define @t576 () (forall @t575 @t573)) % 35.42/35.69 (define @t577 () (forall @t575 @t572)) % 35.42/35.69 (define @t578 () (@var "BOUND_VARIABLE_10997" $$unsorted)) % 35.42/35.69 (define @t579 () (or @t568 @t148 @t577)) % 35.42/35.69 (define @t580 () (not (= @t2 (tptp.app @t153 @t578)))) % 35.42/35.69 (define @t581 () (not (tptp.ssList @t578))) % 35.42/35.69 (define @t582 () (not @t161)) % 35.42/35.69 (define @t583 () (or @t582 @t581 @t580)) % 35.42/35.69 (define @t584 () (@list @t152 @t578)) % 35.42/35.69 (define @t585 () (forall @t584 @t583)) % 35.42/35.69 (define @t586 () (or @t568 @t148 @t585)) % 35.42/35.69 (define @t587 () (or @t148 @t585)) % 35.42/35.69 (define @t588 () (or @t581 @t580)) % 35.42/35.69 (define @t589 () (or @t582 @t588)) % 35.42/35.69 (define @t590 () (forall @t584 @t589)) % 35.42/35.69 (define @t591 () (@list @t578)) % 35.42/35.69 (define @t592 () (forall @t591 @t589)) % 35.42/35.69 (define @t593 () (forall @t591 @t588)) % 35.42/35.69 (define @t594 () (or @t582 @t593)) % 35.42/35.69 (define @t595 () (not (= @t2 @t154))) % 35.42/35.69 (define @t596 () (not @t157)) % 35.42/35.69 (define @t597 () (or @t596 @t595)) % 35.42/35.69 (define @t598 () (forall @t159 @t597)) % 35.42/35.69 (define @t599 () (or @t582 @t598)) % 35.42/35.69 (define @t600 () (forall @t163 @t599)) % 35.42/35.69 (define @t601 () (or @t148 @t600)) % 35.42/35.69 (define @t602 () (or @t148 @t599)) % 35.42/35.69 (define @t603 () (or @t582 @t148 @t598)) % 35.42/35.69 (define @t604 () (or @t148 @t598)) % 35.42/35.69 (define @t605 () (or @t148 @t597)) % 35.42/35.69 (define @t606 () (or @t596 @t595 @t148)) % 35.42/35.69 (define @t607 () (or @t595 @t148)) % 35.42/35.69 (define @t608 () (= tptp.nil @t321)) % 35.42/35.69 (define @t609 () (not @t608)) % 35.42/35.69 (define @t610 () (@quantifiers_skolemize @t313 4)) % 35.42/35.69 (define @t611 () (or (not (= tptp.nil @t610)) @t609)) % 35.42/35.69 (define @t612 () (@quantifiers_skolemize @t313 5)) % 35.42/35.69 (define @t613 () (@quantifiers_skolemize @t313 7)) % 35.42/35.69 (define @t614 () (@quantifiers_skolemize @t313 6)) % 35.42/35.69 (define @t615 () (tptp.cons @t612 tptp.nil)) % 35.42/35.69 (define @t616 () (= @t321 @t615)) % 35.42/35.69 (define @t617 () (not @t616)) % 35.42/35.69 (define @t618 () (tptp.ssItem @t612)) % 35.42/35.69 (define @t619 () (not @t618)) % 35.42/35.69 (define @t620 () (or @t619 @t617 (not (tptp.ssList @t614)) (not (forall @t127 (or @t297 (not (tptp.memberP @t614 @t121)) (not (tptp.lt @t612 @t121))))) (not (tptp.ssList @t613)) (not (= @t610 (tptp.app (tptp.app @t614 @t321) @t613))) (not (forall @t119 (or @t293 (not (tptp.memberP @t613 @t113)) (not (tptp.lt @t113 @t612))))))) % 35.42/35.69 (define @t621 () (and @t620 @t611)) % 35.42/35.69 (define @t622 () (tptp.ssList @t314)) % 35.42/35.69 (define @t623 () (not @t622)) % 35.42/35.69 (define @t624 () (tptp.ssList @t319)) % 35.42/35.69 (define @t625 () (not @t624)) % 35.42/35.69 (define @t626 () (tptp.neq @t317 @t315)) % 35.42/35.69 (define @t627 () (tptp.ssItem @t315)) % 35.42/35.69 (define @t628 () (not @t627)) % 35.42/35.69 (define @t629 () (tptp.ssItem @t317)) % 35.42/35.69 (define @t630 () (not @t629)) % 35.42/35.69 (define @t631 () (or @t328 @t630 @t628 @t626 @t625 @t623 (not (tptp.ssList @t610)) @t621)) % 35.42/35.69 (define @t632 () (@list true)) % 35.42/35.69 (define @t633 () (@list @t631)) % 35.42/35.69 (define @t634 () (@list false false)) % 35.42/35.69 (define @t635 () (= @t2 @t82)) % 35.42/35.69 (define @t636 () (tptp.app tptp.nil @t314)) % 35.42/35.69 (define @t637 () (= @t314 @t636)) % 35.42/35.69 (define @t638 () (or @t623 @t637)) % 35.42/35.69 (define @t639 () (tptp.cons @t317 @t636)) % 35.42/35.69 (define @t640 () (@var "BOUND_VARIABLE_9457" $$unsorted)) % 35.42/35.69 (define @t641 () (@var "BOUND_VARIABLE_9459" $$unsorted)) % 35.42/35.69 (define @t642 () (= (tptp.cons @t641 (tptp.app @t640 @t2)) (tptp.app (tptp.cons @t641 @t640) @t2))) % 35.42/35.69 (define @t643 () (not (tptp.ssItem @t641))) % 35.42/35.69 (define @t644 () (not (tptp.ssList @t640))) % 35.42/35.69 (define @t645 () (or @t644 @t643 @t642)) % 35.42/35.69 (define @t646 () (or @t330 @t645)) % 35.42/35.69 (define @t647 () (forall (@list @t2 @t640 @t641) @t646)) % 35.42/35.69 (define @t648 () (@list @t640 @t641)) % 35.42/35.69 (define @t649 () (forall @t648 @t646)) % 35.42/35.69 (define @t650 () (forall @t648 @t645)) % 35.42/35.69 (define @t651 () (@var "BOUND_VARIABLE_9439" $$unsorted)) % 35.42/35.69 (define @t652 () (or @t330 @t650)) % 35.42/35.69 (define @t653 () (= (tptp.cons @t651 @t75) (tptp.app (tptp.cons @t651 @t1) @t2))) % 35.42/35.69 (define @t654 () (not (tptp.ssItem @t651))) % 35.42/35.69 (define @t655 () (or @t372 @t654 @t653)) % 35.42/35.69 (define @t656 () (@list @t1 @t651)) % 35.42/35.69 (define @t657 () (forall @t656 @t655)) % 35.42/35.69 (define @t658 () (or @t654 @t653)) % 35.42/35.69 (define @t659 () (or @t372 @t658)) % 35.42/35.69 (define @t660 () (forall @t656 @t659)) % 35.42/35.69 (define @t661 () (@list @t651)) % 35.42/35.69 (define @t662 () (forall @t661 @t659)) % 35.42/35.69 (define @t663 () (forall @t661 @t658)) % 35.42/35.69 (define @t664 () (@list @t15)) % 35.42/35.69 (define @t665 () (or @t372 @t663)) % 35.42/35.69 (define @t666 () (forall @t19 (or @t219 @t76))) % 35.42/35.69 (define @t667 () (= @t639 (tptp.app @t318 @t314))) % 35.42/35.69 (define @t668 () (not @t63)) % 35.42/35.69 (define @t669 () (or @t623 @t668 @t630 @t667)) % 35.42/35.69 (define @t670 () (@list false false false false)) % 35.42/35.69 (define @t671 () (@var "BOUND_VARIABLE_8222" $$unsorted)) % 35.42/35.69 (define @t672 () (= (tptp.neq @t2 @t671) (not (= @t2 @t671)))) % 35.42/35.69 (define @t673 () (not (tptp.ssItem @t671))) % 35.42/35.69 (define @t674 () (not @t9)) % 35.42/35.69 (define @t675 () (or @t673 @t672)) % 35.42/35.69 (define @t676 () (or @t674 @t675)) % 35.42/35.69 (define @t677 () (forall (@list @t2 @t671) @t676)) % 35.42/35.69 (define @t678 () (@list @t671)) % 35.42/35.69 (define @t679 () (forall @t678 @t676)) % 35.42/35.69 (define @t680 () (forall @t678 @t675)) % 35.42/35.69 (define @t681 () (@list @t1)) % 35.42/35.69 (define @t682 () (or @t674 @t680)) % 35.42/35.69 (define @t683 () (forall @t7 (or @t191 @t5))) % 35.42/35.69 (define @t684 () (= @t317 @t315)) % 35.42/35.69 (define @t685 () (not @t684)) % 35.42/35.69 (define @t686 () (= @t626 @t685)) % 35.42/35.69 (define @t687 () (or @t630 @t628 @t686)) % 35.42/35.69 (define @t688 () (@list false false false)) % 35.42/35.69 (define @t689 () (not @t686)) % 35.42/35.69 (define @t690 () (@list true false)) % 35.42/35.69 (define @t691 () (tptp.app @t316 @t314)) % 35.42/35.69 (define @t692 () (tptp.app @t320 @t691)) % 35.42/35.69 (define @t693 () (@var "BOUND_VARIABLE_10620" $$unsorted)) % 35.42/35.69 (define @t694 () (@var "BOUND_VARIABLE_10618" $$unsorted)) % 35.42/35.69 (define @t695 () (= (tptp.app (tptp.app @t2 @t694) @t693) (tptp.app @t2 (tptp.app @t694 @t693)))) % 35.42/35.69 (define @t696 () (not (tptp.ssList @t693))) % 35.42/35.69 (define @t697 () (not (tptp.ssList @t694))) % 35.42/35.69 (define @t698 () (or @t697 @t696 @t695)) % 35.42/35.69 (define @t699 () (or @t330 @t698)) % 35.42/35.69 (define @t700 () (forall (@list @t2 @t694 @t693) @t699)) % 35.42/35.69 (define @t701 () (@list @t694 @t693)) % 35.42/35.69 (define @t702 () (forall @t701 @t699)) % 35.42/35.69 (define @t703 () (forall @t701 @t698)) % 35.42/35.69 (define @t704 () (@var "BOUND_VARIABLE_10600" $$unsorted)) % 35.42/35.69 (define @t705 () (or @t330 @t703)) % 35.42/35.69 (define @t706 () (= (tptp.app @t70 @t704) (tptp.app @t2 (tptp.app @t1 @t704)))) % 35.42/35.69 (define @t707 () (not (tptp.ssList @t704))) % 35.42/35.69 (define @t708 () (or @t372 @t707 @t706)) % 35.42/35.69 (define @t709 () (@list @t1 @t704)) % 35.42/35.69 (define @t710 () (forall @t709 @t708)) % 35.42/35.69 (define @t711 () (or @t707 @t706)) % 35.42/35.69 (define @t712 () (or @t372 @t711)) % 35.42/35.69 (define @t713 () (forall @t709 @t712)) % 35.42/35.69 (define @t714 () (@list @t704)) % 35.42/35.69 (define @t715 () (forall @t714 @t712)) % 35.42/35.69 (define @t716 () (forall @t714 @t711)) % 35.42/35.69 (define @t717 () (or @t372 @t716)) % 35.42/35.69 (define @t718 () (forall @t19 (or @t429 @t103))) % 35.42/35.69 (define @t719 () (@var "BOUND_VARIABLE_9176" $$unsorted)) % 35.42/35.69 (define @t720 () (tptp.ssList (tptp.cons @t719 @t2))) % 35.42/35.69 (define @t721 () (not (tptp.ssItem @t719))) % 35.42/35.69 (define @t722 () (or @t721 @t720)) % 35.42/35.69 (define @t723 () (or @t330 @t722)) % 35.42/35.69 (define @t724 () (forall (@list @t2 @t719) @t723)) % 35.42/35.69 (define @t725 () (@list @t719)) % 35.42/35.69 (define @t726 () (forall @t725 @t723)) % 35.42/35.69 (define @t727 () (forall @t725 @t722)) % 35.42/35.69 (define @t728 () (or @t330 @t727)) % 35.42/35.69 (define @t729 () (forall @t7 (or @t191 @t59))) % 35.42/35.69 (define @t730 () (tptp.ssList @t316)) % 35.42/35.69 (define @t731 () (or @t668 @t628 @t730)) % 35.42/35.69 (define @t732 () (@var "BOUND_VARIABLE_9420" $$unsorted)) % 35.42/35.69 (define @t733 () (tptp.ssList (tptp.app @t2 @t732))) % 35.42/35.69 (define @t734 () (not (tptp.ssList @t732))) % 35.42/35.69 (define @t735 () (or @t734 @t733)) % 35.42/35.69 (define @t736 () (or @t330 @t735)) % 35.42/35.69 (define @t737 () (forall (@list @t2 @t732) @t736)) % 35.42/35.69 (define @t738 () (@list @t732)) % 35.42/35.69 (define @t739 () (forall @t738 @t736)) % 35.42/35.69 (define @t740 () (forall @t738 @t735)) % 35.42/35.69 (define @t741 () (or @t330 @t740)) % 35.42/35.69 (define @t742 () (forall @t7 (or @t372 @t71))) % 35.42/35.69 (define @t743 () (tptp.ssList @t318)) % 35.42/35.69 (define @t744 () (tptp.ssList @t320)) % 35.42/35.69 (define @t745 () (not @t743)) % 35.42/35.69 (define @t746 () (or @t625 @t745 @t744)) % 35.42/35.69 (define @t747 () (= @t321 @t692)) % 35.42/35.69 (define @t748 () (not @t730)) % 35.42/35.69 (define @t749 () (not @t744)) % 35.42/35.69 (define @t750 () (or @t749 @t748 @t623 @t747)) % 35.42/35.69 (define @t751 () (tptp.app @t320 (tptp.cons @t317 @t314))) % 35.42/35.69 (define @t752 () (= @t321 @t751)) % 35.42/35.69 (define @t753 () (not @t752)) % 35.42/35.69 (define @t754 () (or @t630 @t625 @t668 @t623 @t753)) % 35.42/35.69 (define @t755 () (not @t754)) % 35.42/35.69 (define @t756 () (not (= @t751 @t321))) % 35.42/35.69 (define @t757 () (or @t630 @t625 @t668 @t623 @t756)) % 35.42/35.69 (define @t758 () (not @t325)) % 35.42/35.69 (define @t759 () (not @t101)) % 35.42/35.69 (define @t760 () (not @t758)) % 35.42/35.69 (define @t761 () (@list @t620)) % 35.42/35.69 (define @t762 () (tptp.duplicatefreeP @t615)) % 35.42/35.69 (define @t763 () (or @t619 @t762)) % 35.42/35.69 (define @t764 () (not @t762)) % 35.42/35.69 (define @t765 () (and @t758 @t616 @t762)) % 35.42/35.69 (assume @p1 @t12) % 35.42/35.69 (assume @p2 (exists @t11 (and @t9 (exists @t7 (and @t6 @t4))))) % 35.42/35.69 (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))))))))))) % 35.42/35.69 (assume @p4 (forall @t11 (=> @t20 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t21 @t2))))))) % 35.42/35.69 (assume @p5 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t23 (exists @t19 (and @t18 (= @t22 @t2))))))))) % 35.42/35.69 (assume @p6 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t26 (exists @t19 (and @t18 (= @t25 @t2))))))))) % 35.42/35.69 (assume @p7 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t27 (exists @t19 (and @t18 (exists @t17 (and @t16 (= (tptp.app @t25 @t13) @t2))))))))))) % 35.42/35.69 (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))))))))))))))))) % 35.42/35.69 (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)))))))))))))))) % 35.42/35.69 (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))))))))))))))))) % 35.42/35.69 (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))))))))))))))) % 35.42/35.69 (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))))))))))))))) % 35.42/35.69 (assume @p13 @t57) % 35.42/35.69 (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))))))))))))) % 35.42/35.69 (assume @p15 (forall @t11 (=> @t20 (forall @t7 (=> @t24 @t5))))) % 35.42/35.69 (assume @p16 @t62) % 35.42/35.69 (assume @p17 @t63) % 35.42/35.69 (assume @p18 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= @t58 @t2))))))) % 35.42/35.69 (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))))))))))) % 35.42/35.69 (assume @p20 (forall @t11 (=> @t20 (or @t66 (exists @t7 (and @t24 (exists @t19 (and @t39 (= @t65 @t2))))))))) % 35.42/35.69 (assume @p21 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= tptp.nil @t58))))))) % 35.42/35.69 (assume @p22 (forall @t11 (=> @t20 (=> @t68 (tptp.ssItem @t67))))) % 35.42/35.69 (assume @p23 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.hd @t58) @t1)))))) % 35.42/35.69 (assume @p24 (forall @t11 (=> @t20 (=> @t68 (tptp.ssList @t69))))) % 35.42/35.69 (assume @p25 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.tl @t58) @t2)))))) % 35.42/35.69 (assume @p26 @t74) % 35.42/35.69 (assume @p27 @t81) % 35.42/35.69 (assume @p28 @t84) % 35.42/35.69 (assume @p29 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t86 @t85) @t3)))))) % 35.42/35.69 (assume @p30 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t86 @t29) (tptp.leq @t2 @t15))))))))) % 35.42/35.69 (assume @p31 (forall @t11 (=> @t9 (tptp.leq @t2 @t2)))) % 35.42/35.69 (assume @p32 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t87 @t85)))))) % 35.42/35.69 (assume @p33 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t89 (not @t88))))))) % 35.42/35.69 (assume @p34 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t89 @t40) @t90)))))))) % 35.42/35.69 (assume @p35 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t91 @t88)))))) % 35.42/35.69 (assume @p36 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (= (tptp.memberP @t22 @t2) (or (tptp.memberP @t1 @t2) @t92))))))))) % 35.42/35.69 (assume @p37 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t15) @t2) (or @t3 @t92))))))))) % 35.42/35.69 (assume @p38 (forall @t11 (=> @t9 (not (tptp.memberP tptp.nil @t2))))) % 35.42/35.69 (assume @p39 (not (tptp.singletonP tptp.nil))) % 35.42/35.69 (assume @p40 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t23 (tptp.frontsegP @t1 @t15)) (tptp.frontsegP @t2 @t15))))))))) % 35.42/35.69 (assume @p41 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t23 (tptp.frontsegP @t1 @t2)) @t3)))))) % 35.42/35.69 (assume @p42 (forall @t11 (=> @t20 (tptp.frontsegP @t2 @t2)))) % 35.42/35.69 (assume @p43 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> @t23 (tptp.frontsegP (tptp.app @t2 @t15) @t1))))))))) % 35.42/35.69 (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)))))))))))) % 35.42/35.69 (assume @p45 (forall @t11 (=> @t20 (tptp.frontsegP @t2 tptp.nil)))) % 35.42/35.69 (assume @p46 (forall @t11 (=> @t20 (= (tptp.frontsegP tptp.nil @t2) @t66)))) % 35.42/35.69 (assume @p47 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t26 (tptp.rearsegP @t1 @t15)) (tptp.rearsegP @t2 @t15))))))))) % 35.42/35.69 (assume @p48 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t26 (tptp.rearsegP @t1 @t2)) @t3)))))) % 35.42/35.69 (assume @p49 (forall @t11 (=> @t20 (tptp.rearsegP @t2 @t2)))) % 35.42/35.69 (assume @p50 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> @t26 (tptp.rearsegP @t93 @t1))))))))) % 35.42/35.69 (assume @p51 (forall @t11 (=> @t20 (tptp.rearsegP @t2 tptp.nil)))) % 35.42/35.69 (assume @p52 (forall @t11 (=> @t20 (= (tptp.rearsegP tptp.nil @t2) @t66)))) % 35.42/35.69 (assume @p53 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t27 (tptp.segmentP @t1 @t15)) (tptp.segmentP @t2 @t15))))))))) % 35.42/35.69 (assume @p54 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t27 (tptp.segmentP @t1 @t2)) @t3)))))) % 35.42/35.69 (assume @p55 (forall @t11 (=> @t20 (tptp.segmentP @t2 @t2)))) % 35.42/35.69 (assume @p56 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (forall @t17 (=> @t16 (=> @t27 (tptp.segmentP (tptp.app @t93 @t13) @t1))))))))))) % 35.42/35.69 (assume @p57 (forall @t11 (=> @t20 (tptp.segmentP @t2 tptp.nil)))) % 35.42/35.69 (assume @p58 (forall @t11 (=> @t20 (= (tptp.segmentP tptp.nil @t2) @t66)))) % 35.42/35.69 (assume @p59 (forall @t11 (=> @t9 (tptp.cyclefreeP @t94)))) % 35.42/35.69 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 35.42/35.69 (assume @p61 (forall @t11 (=> @t9 (tptp.totalorderP @t94)))) % 35.42/35.69 (assume @p62 (tptp.totalorderP tptp.nil)) % 35.42/35.69 (assume @p63 (forall @t11 (=> @t9 (tptp.strictorderP @t94)))) % 35.42/35.69 (assume @p64 (tptp.strictorderP tptp.nil)) % 35.42/35.69 (assume @p65 (forall @t11 (=> @t9 (tptp.totalorderedP @t94)))) % 35.42/35.69 (assume @p66 (tptp.totalorderedP tptp.nil)) % 35.42/35.69 (assume @p67 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t98) (or @t96 (and @t97 (tptp.totalorderedP @t1) (tptp.leq @t2 @t95))))))))) % 35.42/35.69 (assume @p68 (forall @t11 (=> @t9 (tptp.strictorderedP @t94)))) % 35.42/35.69 (assume @p69 (tptp.strictorderedP tptp.nil)) % 35.42/35.69 (assume @p70 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t98) (or @t96 (and @t97 (tptp.strictorderedP @t1) (tptp.lt @t2 @t95))))))))) % 35.42/35.69 (assume @p71 @t100) % 35.42/35.69 (assume @p72 @t101) % 35.42/35.69 (assume @p73 (forall @t11 (=> @t9 (tptp.equalelemsP @t94)))) % 35.42/35.69 (assume @p74 (tptp.equalelemsP tptp.nil)) % 35.42/35.69 (assume @p75 (forall @t11 (=> @t20 (=> @t68 (exists @t7 (and @t6 (= @t67 @t1))))))) % 35.42/35.69 (assume @p76 (forall @t11 (=> @t20 (=> @t68 (exists @t7 (and @t24 (= @t69 @t1))))))) % 35.42/35.69 (assume @p77 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t97 @t68 (= @t95 @t67) (= (tptp.tl @t1) @t69)) @t64)))))) % 35.42/35.69 (assume @p78 (forall @t11 (=> @t20 (=> @t68 (= (tptp.cons @t67 @t69) @t2))))) % 35.42/35.69 (assume @p79 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (= @t25 @t70) @t102)))))))) % 35.42/35.69 (assume @p80 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (= @t22 @t75) @t102)))))))) % 35.42/35.69 (assume @p81 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= @t58 (tptp.app @t21 @t2))))))) % 35.42/35.69 (assume @p82 @t108) % 35.42/35.69 (assume @p83 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= (= tptp.nil @t70) (and @t96 @t66))))))) % 35.42/35.69 (assume @p84 (forall @t11 (=> @t20 (= (tptp.app @t2 tptp.nil) @t2)))) % 35.42/35.69 (assume @p85 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> @t68 (= (tptp.hd @t70) @t67))))))) % 35.42/35.69 (assume @p86 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> @t68 (= (tptp.tl @t70) (tptp.app @t69 @t1)))))))) % 35.42/35.69 (assume @p87 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t87 (tptp.geq @t1 @t2)) @t3)))))) % 35.42/35.69 (assume @p88 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t87 (tptp.geq @t1 @t15)) (tptp.geq @t2 @t15))))))))) % 35.42/35.69 (assume @p89 (forall @t11 (=> @t9 (tptp.geq @t2 @t2)))) % 35.42/35.69 (assume @p90 (forall @t11 (=> @t9 (not (tptp.lt @t2 @t2))))) % 35.42/35.69 (assume @p91 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t86 @t40) @t90)))))))) % 35.42/35.69 (assume @p92 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t86 (or @t3 @t89))))))) % 35.42/35.69 (assume @p93 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t89 (and @t4 @t86))))))) % 35.42/35.69 (assume @p94 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t91 (not (tptp.gt @t1 @t2)))))))) % 35.42/35.69 (assume @p95 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t91 (tptp.gt @t1 @t15)) (tptp.gt @t2 @t15))))))))) % 35.42/35.69 (assume @p96 @t182) % 35.42/35.69 (assume @p97 true) % 35.42/35.69 (step @p98 :rule bool-impl-elim :args (@t20 @t194)) % 35.42/35.69 (step @p99 :rule cong :premises (@p98) :args ((forall @t11 (=> @t20 @t194)))) % 35.42/35.69 (step @p100 :rule aci_norm :args ((= @t196 @t192))) % 35.42/35.69 (step @p101 :rule cong :premises (@p100) :args (@t197)) % 35.42/35.69 (step @p102 :rule quant-merge-prenex :args ((= (forall @t7 @t199) @t197))) % 35.42/35.69 (step @p103 :rule alpha_equiv :args (@t200 (@list @t185 @t184 @t183) @t204)) % 35.42/35.69 (step @p104 :rule refl :args (@t191)) % 35.42/35.69 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t205)) % 35.42/35.69 (step @p106 :rule quant-miniscope-or :args ((= @t199 @t205))) % 35.42/35.69 (step @p107 :rule trans :premises (@p106 @p105)) % 35.42/35.69 (step @p108 :rule symm :premises (@p107)) % 35.42/35.69 (step @p109 :rule cong :premises (@p108) :args ((forall @t7 @t213))) % 35.42/35.69 (step @p110 :rule trans :premises (@p109 @p102)) % 35.42/35.69 (step @p111 :rule trans :premises (@p110 @p101)) % 35.42/35.69 (step @p112 :rule aci_norm :args ((= (or @t191 @t213) @t213))) % 35.42/35.69 (step @p113 :rule bool-impl-elim :args (@t6 @t213)) % 35.42/35.69 (step @p114 :rule trans :premises (@p113 @p112)) % 35.42/35.69 (step @p115 :rule cong :premises (@p114) :args ((forall @t7 (=> @t6 @t213)))) % 35.42/35.69 (step @p116 :rule trans :premises (@p115 @p111)) % 35.42/35.69 (step @p117 :rule quant-miniscope-or :args ((= (forall @t212 @t214) @t213))) % 35.42/35.69 (step @p118 :rule aci_norm :args ((= @t215 @t214))) % 35.42/35.69 (step @p119 :rule cong :premises (@p118) :args ((forall @t212 @t215))) % 35.42/35.69 (step @p120 :rule trans :premises (@p119 @p117)) % 35.42/35.69 (step @p121 :rule aci_norm :args ((= (or @t191 false @t210 @t209 @t208 @t207) @t215))) % 35.42/35.69 (step @p122 :rule refl :args (@t207)) % 35.42/35.69 (step @p123 :rule refl :args (@t208)) % 35.42/35.69 (step @p124 :rule refl :args (@t209)) % 35.42/35.69 (step @p125 :rule refl :args (@t210)) % 35.42/35.69 (step @p126 :rule evaluate :args ((not true))) % 35.42/35.69 (step @p127 :rule eq-refl :args (@t1)) % 35.42/35.69 (step @p128 :rule cong :premises (@p127) :args (@t216)) % 35.42/35.69 (step @p129 :rule trans :premises (@p128 @p126)) % 35.42/35.69 (step @p130 :rule refl :args (@t191)) % 35.42/35.69 (step @p131 :rule nary_cong :premises (@p130 @p129 @p125 @p124 @p123 @p122) 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(step @p146 :rule trans :premises (@p145 @p144)) % 35.42/35.69 (step @p147 :rule cong :premises (@p146) :args (@t222)) % 35.42/35.69 (step @p148 :rule trans :premises (@p147 @p135)) % 35.42/35.69 (step @p149 :rule cong :premises (@p148) :args (@t223)) % 35.42/35.69 (step @p150 :rule quant-merge-prenex :args ((= @t223 @t224))) % 35.42/35.69 (step @p151 :rule symm :premises (@p150)) % 35.42/35.69 (step @p152 :rule quant_var_reordering :args ((= (forall @t225 @t221) @t224))) % 35.42/35.69 (step @p153 :rule trans :premises (@p152 @p151 @p149)) % 35.42/35.69 (step @p154 :rule trans :premises (@p153 @p134)) % 35.42/35.69 (step @p155 :rule aci_norm :args ((= @t227 @t221))) % 35.42/35.69 (step @p156 :rule cong :premises (@p155) :args (@t228)) % 35.42/35.69 (step @p157 :rule trans :premises (@p156 @p154)) % 35.42/35.69 (step @p158 :rule quant-merge-prenex :args ((= (forall @t19 @t229) @t228))) % 35.42/35.69 (step @p159 :rule alpha_equiv :args (@t230 @t204 (@list @t13 @t232 @t231))) % 35.42/35.69 (step @p160 :rule nary_cong :premises (@p141 @p140 @p159) :args (@t233)) % 35.42/35.69 (step @p161 :rule quant-miniscope-or :args ((= @t229 @t233))) % 35.42/35.69 (step @p162 :rule trans :premises (@p161 @p160)) % 35.42/35.69 (step @p163 :rule symm :premises (@p162)) % 35.42/35.69 (step @p164 :rule cong :premises (@p163) :args ((forall @t19 @t241))) % 35.42/35.69 (step @p165 :rule trans :premises (@p164 @p158)) % 35.42/35.69 (step @p166 :rule trans :premises (@p165 @p157)) % 35.42/35.69 (step @p167 :rule aci_norm :args ((= (or @t219 @t242) @t241))) % 35.42/35.69 (step @p168 :rule bool-impl-elim :args (@t39 @t242)) % 35.42/35.69 (step @p169 :rule trans :premises (@p168 @p167)) % 35.42/35.69 (step @p170 :rule cong :premises (@p169) :args ((forall @t19 (=> @t39 @t242)))) % 35.42/35.69 (step @p171 :rule trans :premises (@p170 @p166)) % 35.42/35.69 (step @p172 :rule aci_norm :args ((= @t244 @t238))) % 35.42/35.69 (step @p173 :rule cong :premises (@p172) :args (@t245)) % 35.42/35.69 (step @p174 :rule quant-merge-prenex :args ((= (forall @t17 @t247) @t245))) % 35.42/35.69 (step @p175 :rule alpha_equiv :args (@t248 (@list @t232 @t231) (@list @t31 @t249))) % 35.42/35.69 (step @p176 :rule refl :args (@t237)) % 35.42/35.69 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t250)) % 35.42/35.69 (step @p178 :rule quant-miniscope-or :args ((= @t247 @t250))) % 35.42/35.69 (step @p179 :rule trans :premises (@p178 @p177)) % 35.42/35.69 (step @p180 :rule symm :premises (@p179)) % 35.42/35.69 (step @p181 :rule cong :premises (@p180) :args (@t258)) % 35.42/35.69 (step @p182 :rule trans :premises (@p181 @p174)) % 35.42/35.69 (step @p183 :rule trans :premises (@p182 @p173)) % 35.42/35.69 (step @p184 :rule refl :args (@t42)) % 35.42/35.69 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t259)) % 35.42/35.69 (step @p186 :rule quant-miniscope-or :args ((= (forall @t17 @t260) @t259))) % 35.42/35.69 (step @p187 :rule aci_norm :args ((= @t261 @t260))) % 35.42/35.69 (step @p188 :rule cong :premises (@p187) :args ((forall @t17 @t261))) % 35.42/35.69 (step @p189 :rule trans :premises (@p188 @p186)) % 35.42/35.69 (step @p190 :rule trans :premises (@p189 @p185)) % 35.42/35.69 (step @p191 :rule aci_norm :args ((= (or @t237 @t262) @t261))) % 35.42/35.69 (step @p192 :rule bool-impl-elim :args (@t16 @t262)) % 35.42/35.69 (step @p193 :rule trans :premises (@p192 @p191)) % 35.42/35.69 (step @p194 :rule cong :premises (@p193) :args ((forall @t17 (=> @t16 @t262)))) % 35.42/35.69 (step @p195 :rule trans :premises (@p194 @p190)) % 35.42/35.69 (step @p196 :rule aci_norm :args ((= @t264 @t254))) % 35.42/35.69 (step @p197 :rule cong :premises (@p196) :args (@t265)) % 35.42/35.69 (step @p198 :rule quant-merge-prenex :args ((= (forall @t38 @t267) @t265))) % 35.42/35.69 (step @p199 :rule alpha_equiv :args (@t268 (@list @t249) (@list @t30))) % 35.42/35.69 (step @p200 :rule refl :args (@t253)) % 35.42/35.69 (step @p201 :rule nary_cong :premises (@p200 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35.42/35.69 (step @p260 :rule eq_resolve :premises (@p13 @p259)) % 35.42/35.69 (step @p261 :rule eq-symm :args (@t321 @t186)) % 35.42/35.69 (step @p262 :rule cong :premises (@p261) :args (@t322)) % 35.42/35.69 (step @p263 :rule refl :args (@t188)) % 35.42/35.69 (step @p264 :rule refl :args (@t189)) % 35.42/35.69 (step @p265 :rule refl :args (@t190)) % 35.42/35.69 (step @p266 :rule nary_cong :premises (@p130 @p265 @p264 @p263 @p262) :args (@t323)) % 35.42/35.69 (step @p267 :rule cong :premises (@p266) :args (@t324)) % 35.42/35.69 (step @p268 :rule refl :args (@t325)) % 35.42/35.69 (step @p269 :rule cong :premises (@p268 @p267) :args (@t326)) % 35.42/35.69 (step @p270 :rule refl :args (@t328)) % 35.42/35.69 (step @p271 :rule nary_cong :premises (@p270 @p269) :args (@t329)) % 35.42/35.69 (step @p272 :rule refl :args (@t331)) % 35.42/35.69 (step @p273 :rule cong :premises (@p272 @p271) :args ((=> @t331 @t329))) % 35.42/35.69 (assume-push @p1020 @t331) % 35.42/35.69 (step @p275 :rule 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:args (@t304)) % 35.42/35.69 (step @p289 :rule eq-refl :args (@t288)) % 35.42/35.69 (step @p290 :rule cong :premises (@p289) :args (@t338)) % 35.42/35.69 (step @p291 :rule trans :premises (@p290 @p126)) % 35.42/35.69 (step @p292 :rule refl :args (@t305)) % 35.42/35.69 (step @p293 :rule refl :args (@t306)) % 35.42/35.69 (step @p294 :rule refl :args (@t307)) % 35.42/35.69 (step @p295 :rule refl :args (@t308)) % 35.42/35.69 (step @p296 :rule refl :args (@t309)) % 35.42/35.69 (step @p297 :rule refl :args (@t310)) % 35.42/35.69 (step @p298 :rule nary_cong :premises (@p297 @p296 @p295 @p294 @p293 @p292 @p291 @p288 @p287) :args (@t339)) % 35.42/35.69 (step @p299 :rule trans :premises (@p298 @p281)) % 35.42/35.69 (step @p300 :rule cong :premises (@p299) :args ((forall @t312 @t339))) % 35.42/35.69 (step @p301 :rule quant-var-elim-eq :args ((= (forall @t11 @t344) @t339))) % 35.42/35.69 (step @p302 :rule aci_norm :args ((= @t345 @t344))) % 35.42/35.69 (step @p303 :rule cong :premises (@p302) 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cnf_or_neg :args (@t620 1)) % 35.42/35.69 (step @p972 :rule eq_resolve :premises (@p971 @p970)) % 35.42/35.69 (step @p973 :rule reordering :premises (@p972) :args ((or @t616 @t620))) % 35.42/35.69 (step @p974 :rule chain_m_resolution :premises (@p973 @p967) :args (@t616 @t632 @t761)) % 35.42/35.69 (step @p975 :rule bool-impl-elim :args (@t9 @t99)) % 35.42/35.69 (step @p976 :rule cong :premises (@p975) :args (@t100)) % 35.42/35.69 (step @p977 :rule eq_resolve :premises (@p71 @p976)) % 35.42/35.69 (step @p978 :rule instantiate :premises (@p977) :args ((@list @t612))) % 35.42/35.69 (step @p979 :rule bool-double-not-elim :args (@t618)) % 35.42/35.69 (step @p980 :rule nary_cong :premises (@p969 @p979) :args ((or @t620 (not @t619)))) % 35.42/35.69 (step @p981 :rule cnf_or_neg :args (@t620 0)) % 35.42/35.69 (step @p982 :rule eq_resolve :premises (@p981 @p980)) % 35.42/35.69 (step @p983 :rule reordering :premises (@p982) :args ((or @t618 @t620))) % 35.42/35.69 (step @p984 :rule chain_m_resolution :premises (@p983 @p967) :args (@t618 @t632 @t761)) % 35.42/35.69 (step @p985 :rule cnf_or_pos :args (@t763)) % 35.42/35.69 (step @p986 :rule reordering :premises (@p985) :args ((or @t619 @t762 (not @t763)))) % 35.42/35.69 (step @p987 :rule chain_m_resolution :premises (@p986 @p984 @p978) :args (@t762 @t634 (@list @t618 @t763))) % 35.42/35.69 (step @p988 :rule refl :args (@t764)) % 35.42/35.69 (step @p989 :rule refl :args (@t617)) % 35.42/35.69 (step @p990 :rule nary_cong :premises (@p989 @p988 @p935) :args ((or @t617 @t764 @t760))) % 35.42/35.69 (assume-push @p1030 @t758) % 35.42/35.69 (assume-push @p1031 @t616) % 35.42/35.69 (assume-push @p1032 @t762) % 35.42/35.69 (step @p994 :rule evaluate :args ((= true false))) % 35.42/35.69 (step @p995 :rule false_intro :premises (@p1030)) % 35.42/35.69 (step @p996 :rule symm :premises (@p1031)) % 35.42/35.69 (step @p997 :rule cong :premises (@p996) :args (@t762)) % 35.42/35.69 (step @p998 :rule true_intro :premises (@p1032)) % 35.42/35.69 (step @p999 :rule symm :premises (@p998)) % 35.42/35.69 (step @p1000 :rule trans :premises (@p999 @p997 @p995)) % 35.42/35.69 (step @p1001 false :rule eq_resolve :premises (@p1000 @p994)) % 35.42/35.69 (step-pop @p1033 :rule scope :premises (@p1001)) % 35.42/35.69 (step-pop @p1034 :rule scope :premises (@p1033)) % 35.42/35.69 (step-pop @p1035 :rule scope :premises (@p1034)) % 35.42/35.69 (step @p1002 :rule process_scope :premises (@p1035) :args (false)) % 35.42/35.69 (assume-push @p1036 @t616) % 35.42/35.69 (assume-push @p1037 @t762) % 35.42/35.69 (assume-push @p1038 @t758) % 35.42/35.69 (step @p1009 :rule and_intro :premises (@p1038 @p1036 @p1037)) % 35.42/35.69 (step-pop @p1039 :rule scope :premises (@p1009)) % 35.42/35.69 (step-pop @p1040 :rule scope :premises (@p1039)) % 35.42/35.69 (step-pop @p1041 :rule scope :premises (@p1040)) % 35.42/35.69 (step @p1010 :rule process_scope :premises (@p1041) :args (@t765)) % 35.42/35.69 (step @p1014 :rule implies_elim :premises (@p1010)) % 35.42/35.69 (step @p1015 :rule resolution :premises (@p1014 @p1002) :args (true @t765)) % 35.42/35.69 (step @p1016 :rule not_and :premises (@p1015)) % 35.42/35.69 (step @p1017 :rule eq_resolve :premises (@p1016 @p990)) % 35.42/35.69 (step @p1018 :rule reordering :premises (@p1017) :args ((or @t617 @t325 @t764))) % 35.42/35.69 (step @p1019 false :rule chain_m_resolution :premises (@p1018 @p987 @p974 @p934) :args (false (@list false false true) (@list @t762 @t616 @t325))) % 35.42/35.69 ) % 35.42/35.69 % SZS output end Proof % 35.42/35.69 % cvc5 exiting %------------------------------------------------------------------------------