%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC173+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 : n016.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 35.33s 35.53s % Output : Proof 35.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC173+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 : n016.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 19:22:09 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 35.33/35.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.33/35.53 --- Run --no-e-matching --full-saturate-quant at 6... % 35.33/35.53 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.33/35.53 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.33/35.53 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.33/35.53 % SZS status Theorem % 35.33/35.53 % SZS output start Proof % 35.33/35.53 ( % 35.33/35.53 (declare-sort $$unsorted 0) % 35.33/35.53 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 35.33/35.53 (declare-const tptp.nil $$unsorted) % 35.33/35.53 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.ssList (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 35.33/35.53 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 35.33/35.53 (define @t1 () (@var "V" $$unsorted)) % 35.33/35.53 (define @t2 () (@var "U" $$unsorted)) % 35.33/35.53 (define @t3 () (= @t2 @t1)) % 35.33/35.53 (define @t4 () (not @t3)) % 35.33/35.53 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 35.33/35.53 (define @t6 () (tptp.ssItem @t1)) % 35.33/35.53 (define @t7 () (@list @t1)) % 35.33/35.53 (define @t8 () (forall @t7 (=> @t6 @t5))) % 35.33/35.53 (define @t9 () (tptp.ssItem @t2)) % 35.33/35.53 (define @t10 () (=> @t9 @t8)) % 35.33/35.53 (define @t11 () (@list @t2)) % 35.33/35.53 (define @t12 () (forall @t11 @t10)) % 35.33/35.53 (define @t13 () (@var "X" $$unsorted)) % 35.33/35.53 (define @t14 () (tptp.cons @t1 @t13)) % 35.33/35.53 (define @t15 () (@var "W" $$unsorted)) % 35.33/35.53 (define @t16 () (tptp.ssList @t13)) % 35.33/35.53 (define @t17 () (@list @t13)) % 35.33/35.53 (define @t18 () (tptp.ssList @t15)) % 35.33/35.53 (define @t19 () (@list @t15)) % 35.33/35.53 (define @t20 () (tptp.ssList @t2)) % 35.33/35.53 (define @t21 () (tptp.cons @t1 tptp.nil)) % 35.33/35.53 (define @t22 () (tptp.app @t1 @t15)) % 35.33/35.53 (define @t23 () (tptp.frontsegP @t2 @t1)) % 35.33/35.53 (define @t24 () (tptp.ssList @t1)) % 35.33/35.53 (define @t25 () (tptp.app @t15 @t1)) % 35.33/35.53 (define @t26 () (tptp.rearsegP @t2 @t1)) % 35.33/35.53 (define @t27 () (tptp.segmentP @t2 @t1)) % 35.33/35.53 (define @t28 () (tptp.leq @t15 @t1)) % 35.33/35.53 (define @t29 () (tptp.leq @t1 @t15)) % 35.33/35.53 (define @t30 () (@var "Z" $$unsorted)) % 35.33/35.53 (define @t31 () (@var "Y" $$unsorted)) % 35.33/35.53 (define @t32 () (tptp.app @t13 (tptp.cons @t1 @t31))) % 35.33/35.53 (define @t33 () (tptp.app @t32 (tptp.cons @t15 @t30))) % 35.33/35.53 (define @t34 () (= @t33 @t2)) % 35.33/35.53 (define @t35 () (tptp.ssList @t30)) % 35.33/35.53 (define @t36 () (@list @t30)) % 35.33/35.53 (define @t37 () (tptp.ssList @t31)) % 35.33/35.53 (define @t38 () (@list @t31)) % 35.33/35.53 (define @t39 () (tptp.ssItem @t15)) % 35.33/35.53 (define @t40 () (tptp.lt @t1 @t15)) % 35.33/35.53 (define @t41 () (= @t1 @t15)) % 35.33/35.53 (define @t42 () (not @t41)) % 35.33/35.53 (define @t43 () (=> @t34 @t42)) % 35.33/35.53 (define @t44 () (=> @t35 @t43)) % 35.33/35.53 (define @t45 () (forall @t36 @t44)) % 35.33/35.53 (define @t46 () (=> @t37 @t45)) % 35.33/35.53 (define @t47 () (forall @t38 @t46)) % 35.33/35.53 (define @t48 () (=> @t16 @t47)) % 35.33/35.53 (define @t49 () (forall @t17 @t48)) % 35.33/35.53 (define @t50 () (=> @t39 @t49)) % 35.33/35.53 (define @t51 () (forall @t19 @t50)) % 35.33/35.53 (define @t52 () (=> @t6 @t51)) % 35.33/35.53 (define @t53 () (forall @t7 @t52)) % 35.33/35.53 (define @t54 () (tptp.duplicatefreeP @t2)) % 35.33/35.53 (define @t55 () (= @t54 @t53)) % 35.33/35.53 (define @t56 () (=> @t20 @t55)) % 35.33/35.53 (define @t57 () (forall @t11 @t56)) % 35.33/35.53 (define @t58 () (tptp.cons @t1 @t2)) % 35.33/35.53 (define @t59 () (tptp.ssList @t58)) % 35.33/35.53 (define @t60 () (forall @t7 (=> @t6 @t59))) % 35.33/35.53 (define @t61 () (=> @t20 @t60)) % 35.33/35.53 (define @t62 () (forall @t11 @t61)) % 35.33/35.53 (define @t63 () (tptp.ssList tptp.nil)) % 35.33/35.53 (define @t64 () (= @t1 @t2)) % 35.33/35.53 (define @t65 () (tptp.cons @t15 @t1)) % 35.33/35.53 (define @t66 () (= tptp.nil @t2)) % 35.33/35.53 (define @t67 () (tptp.hd @t2)) % 35.33/35.53 (define @t68 () (not @t66)) % 35.33/35.53 (define @t69 () (tptp.tl @t2)) % 35.33/35.53 (define @t70 () (tptp.app @t2 @t1)) % 35.33/35.53 (define @t71 () (tptp.ssList @t70)) % 35.33/35.53 (define @t72 () (forall @t7 (=> @t24 @t71))) % 35.33/35.53 (define @t73 () (=> @t20 @t72)) % 35.33/35.53 (define @t74 () (forall @t11 @t73)) % 35.33/35.53 (define @t75 () (tptp.app @t1 @t2)) % 35.33/35.53 (define @t76 () (= (tptp.cons @t15 @t75) (tptp.app @t65 @t2))) % 35.33/35.53 (define @t77 () (forall @t19 (=> @t39 @t76))) % 35.33/35.53 (define @t78 () (=> @t24 @t77)) % 35.33/35.53 (define @t79 () (forall @t7 @t78)) % 35.33/35.53 (define @t80 () (=> @t20 @t79)) % 35.33/35.53 (define @t81 () (forall @t11 @t80)) % 35.33/35.53 (define @t82 () (tptp.app tptp.nil @t2)) % 35.33/35.53 (define @t83 () (=> @t20 (= @t82 @t2))) % 35.33/35.53 (define @t84 () (forall @t11 @t83)) % 35.33/35.53 (define @t85 () (tptp.leq @t1 @t2)) % 35.33/35.53 (define @t86 () (tptp.leq @t2 @t1)) % 35.33/35.53 (define @t87 () (tptp.geq @t2 @t1)) % 35.33/35.53 (define @t88 () (tptp.lt @t1 @t2)) % 35.33/35.53 (define @t89 () (tptp.lt @t2 @t1)) % 35.33/35.53 (define @t90 () (tptp.lt @t2 @t15)) % 35.33/35.53 (define @t91 () (tptp.gt @t2 @t1)) % 35.33/35.53 (define @t92 () (tptp.memberP @t15 @t2)) % 35.33/35.53 (define @t93 () (tptp.app @t15 @t2)) % 35.33/35.53 (define @t94 () (tptp.cons @t2 tptp.nil)) % 35.33/35.53 (define @t95 () (tptp.hd @t1)) % 35.33/35.53 (define @t96 () (= tptp.nil @t1)) % 35.33/35.53 (define @t97 () (not @t96)) % 35.33/35.53 (define @t98 () (tptp.cons @t2 @t1)) % 35.33/35.53 (define @t99 () (tptp.duplicatefreeP @t94)) % 35.33/35.53 (define @t100 () (forall @t11 (=> @t9 @t99))) % 35.33/35.53 (define @t101 () (tptp.duplicatefreeP tptp.nil)) % 35.33/35.53 (define @t102 () (= @t15 @t2)) % 35.33/35.53 (define @t103 () (= (tptp.app @t70 @t15) (tptp.app @t2 @t22))) % 35.33/35.53 (define @t104 () (forall @t19 (=> @t18 @t103))) % 35.33/35.53 (define @t105 () (=> @t24 @t104)) % 35.33/35.53 (define @t106 () (forall @t7 @t105)) % 35.33/35.53 (define @t107 () (=> @t20 @t106)) % 35.33/35.53 (define @t108 () (forall @t11 @t107)) % 35.33/35.53 (define @t109 () (not (= tptp.nil @t15))) % 35.33/35.53 (define @t110 () (not (= tptp.nil @t13))) % 35.33/35.53 (define @t111 () (or @t110 @t109)) % 35.33/35.53 (define @t112 () (@var "X3" $$unsorted)) % 35.33/35.53 (define @t113 () (@var "X7" $$unsorted)) % 35.33/35.53 (define @t114 () (tptp.lt @t113 @t112)) % 35.33/35.53 (define @t115 () (@var "X5" $$unsorted)) % 35.33/35.53 (define @t116 () (tptp.memberP @t115 @t113)) % 35.33/35.53 (define @t117 () (tptp.ssItem @t113)) % 35.33/35.53 (define @t118 () (and @t117 @t116 @t114)) % 35.33/35.53 (define @t119 () (@list @t113)) % 35.33/35.53 (define @t120 () (exists @t119 @t118)) % 35.33/35.53 (define @t121 () (@var "X6" $$unsorted)) % 35.33/35.53 (define @t122 () (tptp.lt @t112 @t121)) % 35.33/35.53 (define @t123 () (@var "X4" $$unsorted)) % 35.33/35.53 (define @t124 () (tptp.memberP @t123 @t121)) % 35.33/35.53 (define @t125 () (tptp.ssItem @t121)) % 35.33/35.53 (define @t126 () (and @t125 @t124 @t122)) % 35.33/35.53 (define @t127 () (@list @t121)) % 35.33/35.53 (define @t128 () (exists @t127 @t126)) % 35.33/35.53 (define @t129 () (tptp.app @t123 @t15)) % 35.33/35.53 (define @t130 () (tptp.app @t129 @t115)) % 35.33/35.53 (define @t131 () (not (= @t130 @t13))) % 35.33/35.53 (define @t132 () (tptp.cons @t112 tptp.nil)) % 35.33/35.53 (define @t133 () (not (= @t132 @t15))) % 35.33/35.53 (define @t134 () (or @t133 @t131 @t128 @t120)) % 35.33/35.53 (define @t135 () (tptp.ssList @t115)) % 35.33/35.53 (define @t136 () (=> @t135 @t134)) % 35.33/35.53 (define @t137 () (@list @t115)) % 35.33/35.53 (define @t138 () (forall @t137 @t136)) % 35.33/35.53 (define @t139 () (tptp.ssList @t123)) % 35.33/35.53 (define @t140 () (=> @t139 @t138)) % 35.33/35.53 (define @t141 () (@list @t123)) % 35.33/35.53 (define @t142 () (forall @t141 @t140)) % 35.33/35.53 (define @t143 () (tptp.ssItem @t112)) % 35.33/35.53 (define @t144 () (=> @t143 @t142)) % 35.33/35.53 (define @t145 () (@list @t112)) % 35.33/35.53 (define @t146 () (forall @t145 @t144)) % 35.33/35.53 (define @t147 () (and @t146 @t111)) % 35.33/35.53 (define @t148 () (tptp.neq @t31 @t30)) % 35.33/35.53 (define @t149 () (@var "X2" $$unsorted)) % 35.33/35.53 (define @t150 () (tptp.cons @t30 tptp.nil)) % 35.33/35.53 (define @t151 () (tptp.cons @t31 tptp.nil)) % 35.33/35.53 (define @t152 () (@var "X1" $$unsorted)) % 35.33/35.53 (define @t153 () (tptp.app (tptp.app @t152 @t151) @t150)) % 35.33/35.53 (define @t154 () (tptp.app @t153 @t149)) % 35.33/35.53 (define @t155 () (not (= @t154 @t2))) % 35.33/35.53 (define @t156 () (tptp.ssList @t149)) % 35.33/35.53 (define @t157 () (=> @t156 @t155)) % 35.33/35.53 (define @t158 () (@list @t149)) % 35.33/35.53 (define @t159 () (forall @t158 @t157)) % 35.33/35.53 (define @t160 () (tptp.ssList @t152)) % 35.33/35.53 (define @t161 () (=> @t160 @t159)) % 35.33/35.53 (define @t162 () (@list @t152)) % 35.33/35.53 (define @t163 () (forall @t162 @t161)) % 35.33/35.53 (define @t164 () (or @t163 @t148)) % 35.33/35.53 (define @t165 () (tptp.ssItem @t30)) % 35.33/35.53 (define @t166 () (=> @t165 @t164)) % 35.33/35.53 (define @t167 () (forall @t36 @t166)) % 35.33/35.53 (define @t168 () (tptp.ssItem @t31)) % 35.33/35.53 (define @t169 () (=> @t168 @t167)) % 35.33/35.53 (define @t170 () (forall @t38 @t169)) % 35.33/35.53 (define @t171 () (not (= @t2 @t15))) % 35.33/35.53 (define @t172 () (not (= @t1 @t13))) % 35.33/35.53 (define @t173 () (or @t172 @t171 @t170 @t147)) % 35.33/35.53 (define @t174 () (=> @t16 @t173)) % 35.33/35.53 (define @t175 () (forall @t17 @t174)) % 35.33/35.53 (define @t176 () (=> @t18 @t175)) % 35.33/35.53 (define @t177 () (forall @t19 @t176)) % 35.33/35.53 (define @t178 () (=> @t24 @t177)) % 35.33/35.53 (define @t179 () (forall @t7 @t178)) % 35.33/35.53 (define @t180 () (=> @t20 @t179)) % 35.33/35.53 (define @t181 () (forall @t11 @t180)) % 35.33/35.53 (define @t182 () (not @t181)) % 35.33/35.53 (define @t183 () (@var "BOUND_VARIABLE_9032" $$unsorted)) % 35.33/35.53 (define @t184 () (@var "BOUND_VARIABLE_9030" $$unsorted)) % 35.33/35.53 (define @t185 () (@var "BOUND_VARIABLE_9028" $$unsorted)) % 35.33/35.53 (define @t186 () (tptp.app (tptp.app @t185 (tptp.cons @t1 @t184)) (tptp.cons @t1 @t183))) % 35.33/35.53 (define @t187 () (not (= @t2 @t186))) % 35.33/35.53 (define @t188 () (not (tptp.ssList @t183))) % 35.33/35.53 (define @t189 () (not (tptp.ssList @t184))) % 35.33/35.53 (define @t190 () (not (tptp.ssList @t185))) % 35.33/35.53 (define @t191 () (not @t6)) % 35.33/35.53 (define @t192 () (or @t191 @t190 @t189 @t188 @t187)) % 35.33/35.53 (define @t193 () (@list @t1 @t185 @t184 @t183)) % 35.33/35.53 (define @t194 () (= @t54 (forall @t193 @t192))) % 35.33/35.53 (define @t195 () (or @t190 @t189 @t188 @t187)) % 35.33/35.54 (define @t196 () (or @t191 @t195)) % 35.33/35.54 (define @t197 () (forall @t193 @t196)) % 35.33/35.54 (define @t198 () (@list @t185 @t184 @t183)) % 35.33/35.54 (define @t199 () (forall @t198 @t196)) % 35.33/35.54 (define @t200 () (forall @t198 @t195)) % 35.33/35.54 (define @t201 () (@var "BOUND_VARIABLE_8990" $$unsorted)) % 35.33/35.54 (define @t202 () (@var "BOUND_VARIABLE_8988" $$unsorted)) % 35.33/35.54 (define @t203 () (@var "BOUND_VARIABLE_8986" $$unsorted)) % 35.33/35.54 (define @t204 () (@list @t203 @t202 @t201)) % 35.33/35.54 (define @t205 () (or @t191 @t200)) % 35.33/35.54 (define @t206 () (tptp.app @t203 (tptp.cons @t1 @t202))) % 35.33/35.54 (define @t207 () (not (= @t2 (tptp.app @t206 (tptp.cons @t1 @t201))))) % 35.33/35.54 (define @t208 () (not (tptp.ssList @t201))) % 35.33/35.54 (define @t209 () (not (tptp.ssList @t202))) % 35.33/35.54 (define @t210 () (not (tptp.ssList @t203))) % 35.33/35.54 (define @t211 () (or @t210 @t209 @t208 @t207)) % 35.33/35.54 (define @t212 () (@list @t203 @t202 @t201)) % 35.33/35.54 (define @t213 () (or @t191 (forall @t212 @t211))) % 35.33/35.54 (define @t214 () (or @t191 @t211)) % 35.33/35.54 (define @t215 () (or @t191 @t210 @t209 @t208 @t207)) % 35.33/35.54 (define @t216 () (not (= @t1 @t1))) % 35.33/35.54 (define @t217 () (or @t191 @t216 @t210 @t209 @t208 @t207)) % 35.33/35.54 (define @t218 () (not (= @t2 (tptp.app @t206 (tptp.cons @t15 @t201))))) % 35.33/35.54 (define @t219 () (not @t39)) % 35.33/35.54 (define @t220 () (or @t42 @t219 @t42 @t210 @t209 @t208 @t218)) % 35.33/35.54 (define @t221 () (or @t219 @t42 @t210 @t209 @t208 @t218)) % 35.33/35.54 (define @t222 () (forall @t19 @t221)) % 35.33/35.54 (define @t223 () (forall @t212 @t222)) % 35.33/35.54 (define @t224 () (forall (@list @t203 @t202 @t201 @t15) @t221)) % 35.33/35.54 (define @t225 () (@list @t15 @t203 @t202 @t201)) % 35.33/35.54 (define @t226 () (or @t210 @t209 @t208 @t218)) % 35.33/35.54 (define @t227 () (or @t219 @t42 @t226)) % 35.33/35.54 (define @t228 () (forall @t225 @t227)) % 35.33/35.54 (define @t229 () (forall @t212 @t227)) % 35.33/35.54 (define @t230 () (forall @t212 @t226)) % 35.33/35.54 (define @t231 () (@var "BOUND_VARIABLE_8527" $$unsorted)) % 35.33/35.54 (define @t232 () (@var "BOUND_VARIABLE_8525" $$unsorted)) % 35.33/35.54 (define @t233 () (or @t219 @t42 @t230)) % 35.33/35.54 (define @t234 () (not (= @t2 (tptp.app (tptp.app @t13 (tptp.cons @t1 @t232)) (tptp.cons @t15 @t231))))) % 35.33/35.54 (define @t235 () (not (tptp.ssList @t231))) % 35.33/35.54 (define @t236 () (not (tptp.ssList @t232))) % 35.33/35.54 (define @t237 () (not @t16)) % 35.33/35.54 (define @t238 () (or @t237 @t236 @t235 @t234)) % 35.33/35.54 (define @t239 () (@list @t13 @t232 @t231)) % 35.33/35.54 (define @t240 () (forall @t239 @t238)) % 35.33/35.54 (define @t241 () (or @t219 @t42 @t240)) % 35.33/35.54 (define @t242 () (or @t42 @t240)) % 35.33/35.54 (define @t243 () (or @t236 @t235 @t234)) % 35.33/35.54 (define @t244 () (or @t237 @t243)) % 35.33/35.54 (define @t245 () (forall @t239 @t244)) % 35.33/35.54 (define @t246 () (@list @t232 @t231)) % 35.33/35.54 (define @t247 () (forall @t246 @t244)) % 35.33/35.54 (define @t248 () (forall @t246 @t243)) % 35.33/35.54 (define @t249 () (@var "BOUND_VARIABLE_8503" $$unsorted)) % 35.33/35.54 (define @t250 () (or @t237 @t248)) % 35.33/35.54 (define @t251 () (not (= @t2 (tptp.app @t32 (tptp.cons @t15 @t249))))) % 35.33/35.54 (define @t252 () (not (tptp.ssList @t249))) % 35.33/35.54 (define @t253 () (not @t37)) % 35.33/35.54 (define @t254 () (or @t253 @t252 @t251)) % 35.33/35.54 (define @t255 () (@list @t31 @t249)) % 35.33/35.54 (define @t256 () (forall @t255 @t254)) % 35.33/35.54 (define @t257 () (or @t237 @t256)) % 35.33/35.54 (define @t258 () (forall @t17 @t257)) % 35.33/35.54 (define @t259 () (or @t42 @t258)) % 35.33/35.54 (define @t260 () (or @t42 @t257)) % 35.33/35.54 (define @t261 () (or @t237 @t42 @t256)) % 35.33/35.54 (define @t262 () (or @t42 @t256)) % 35.33/35.54 (define @t263 () (or @t252 @t251)) % 35.33/35.54 (define @t264 () (or @t253 @t263)) % 35.33/35.54 (define @t265 () (forall @t255 @t264)) % 35.33/35.54 (define @t266 () (@list @t249)) % 35.33/35.54 (define @t267 () (forall @t266 @t264)) % 35.33/35.54 (define @t268 () (forall @t266 @t263)) % 35.33/35.54 (define @t269 () (or @t253 @t268)) % 35.33/35.54 (define @t270 () (= @t2 @t33)) % 35.33/35.54 (define @t271 () (not @t270)) % 35.33/35.54 (define @t272 () (not @t35)) % 35.33/35.54 (define @t273 () (or @t272 @t271)) % 35.33/35.54 (define @t274 () (forall @t36 @t273)) % 35.33/35.54 (define @t275 () (or @t253 @t274)) % 35.33/35.54 (define @t276 () (forall @t38 @t275)) % 35.33/35.54 (define @t277 () (or @t42 @t276)) % 35.33/35.54 (define @t278 () (or @t42 @t275)) % 35.33/35.54 (define @t279 () (or @t253 @t42 @t274)) % 35.33/35.54 (define @t280 () (or @t42 @t274)) % 35.33/35.54 (define @t281 () (or @t42 @t273)) % 35.33/35.54 (define @t282 () (or @t272 @t271 @t42)) % 35.33/35.54 (define @t283 () (=> @t270 @t42)) % 35.33/35.54 (define @t284 () (@var "BOUND_VARIABLE_11426" $$unsorted)) % 35.33/35.54 (define @t285 () (@var "BOUND_VARIABLE_11422" $$unsorted)) % 35.33/35.54 (define @t286 () (@var "BOUND_VARIABLE_11420" $$unsorted)) % 35.33/35.54 (define @t287 () (@var "BOUND_VARIABLE_11424" $$unsorted)) % 35.33/35.54 (define @t288 () (tptp.app (tptp.app (tptp.app @t287 (tptp.cons @t286 tptp.nil)) (tptp.cons @t285 tptp.nil)) @t284)) % 35.33/35.54 (define @t289 () (@var "BOUND_VARIABLE_11445" $$unsorted)) % 35.33/35.54 (define @t290 () (not (= tptp.nil @t289))) % 35.33/35.54 (define @t291 () (@var "BOUND_VARIABLE_11447" $$unsorted)) % 35.33/35.54 (define @t292 () (@var "BOUND_VARIABLE_11451" $$unsorted)) % 35.33/35.54 (define @t293 () (not @t117)) % 35.33/35.54 (define @t294 () (not (forall @t119 (or @t293 (not (tptp.memberP @t292 @t113)) (not (tptp.lt @t113 @t291)))))) % 35.33/35.54 (define @t295 () (@var "BOUND_VARIABLE_11449" $$unsorted)) % 35.33/35.54 (define @t296 () (not (tptp.ssList @t292))) % 35.33/35.54 (define @t297 () (not @t125)) % 35.33/35.54 (define @t298 () (not (forall @t127 (or @t297 (not (tptp.memberP @t295 @t121)) (not (tptp.lt @t291 @t121)))))) % 35.33/35.54 (define @t299 () (not (tptp.ssList @t295))) % 35.33/35.54 (define @t300 () (tptp.cons @t291 tptp.nil)) % 35.33/35.54 (define @t301 () (not (tptp.ssItem @t291))) % 35.33/35.54 (define @t302 () (or @t301 (not (= @t288 @t300)) @t299 @t298 @t296 (not (= @t289 (tptp.app (tptp.app @t295 @t288) @t292))) @t294)) % 35.33/35.54 (define @t303 () (and @t302 (or @t290 (not (= tptp.nil @t288))))) % 35.33/35.54 (define @t304 () (not (tptp.ssList @t289))) % 35.33/35.54 (define @t305 () (not (tptp.ssList @t284))) % 35.33/35.54 (define @t306 () (not (tptp.ssList @t287))) % 35.33/35.54 (define @t307 () (tptp.neq @t286 @t285)) % 35.33/35.54 (define @t308 () (not (tptp.ssItem @t285))) % 35.33/35.54 (define @t309 () (not (tptp.ssItem @t286))) % 35.33/35.54 (define @t310 () (not (tptp.ssList @t288))) % 35.33/35.54 (define @t311 () (or @t310 @t309 @t308 @t307 @t306 @t305 @t304 @t303)) % 35.33/35.54 (define @t312 () (@list @t286 @t285 @t287 @t284 @t289 @t291 @t295 @t292)) % 35.33/35.54 (define @t313 () (forall @t312 @t311)) % 35.33/35.54 (define @t314 () (@quantifiers_skolemize @t313 3)) % 35.33/35.54 (define @t315 () (@quantifiers_skolemize @t313 1)) % 35.33/35.54 (define @t316 () (tptp.cons @t315 tptp.nil)) % 35.33/35.54 (define @t317 () (@quantifiers_skolemize @t313 0)) % 35.33/35.54 (define @t318 () (tptp.cons @t317 tptp.nil)) % 35.33/35.54 (define @t319 () (@quantifiers_skolemize @t313 2)) % 35.33/35.54 (define @t320 () (tptp.app @t319 @t318)) % 35.33/35.54 (define @t321 () (tptp.app (tptp.app @t320 @t316) @t314)) % 35.33/35.54 (define @t322 () (not (= @t321 @t186))) % 35.33/35.54 (define @t323 () (or @t191 @t190 @t189 @t188 @t322)) % 35.33/35.54 (define @t324 () (forall @t193 @t323)) % 35.33/35.54 (define @t325 () (tptp.duplicatefreeP @t321)) % 35.33/35.54 (define @t326 () (= @t325 @t324)) % 35.33/35.54 (define @t327 () (tptp.ssList @t321)) % 35.33/35.54 (define @t328 () (not @t327)) % 35.33/35.54 (define @t329 () (or @t328 @t326)) % 35.33/35.54 (define @t330 () (not @t20)) % 35.33/35.54 (define @t331 () (forall @t11 (or @t330 @t194))) % 35.33/35.54 (define @t332 () (forall @t193 (or @t191 @t190 @t189 @t188 (not (= @t186 @t321))))) % 35.33/35.54 (define @t333 () (= @t325 @t332)) % 35.33/35.54 (define @t334 () (or @t328 @t333)) % 35.33/35.54 (define @t335 () (not (= @t288 tptp.nil))) % 35.33/35.54 (define @t336 () (or @t290 @t335)) % 35.33/35.54 (define @t337 () (and @t302 @t336)) % 35.33/35.54 (define @t338 () (not (= @t288 @t288))) % 35.33/35.54 (define @t339 () (or @t310 @t309 @t308 @t307 @t306 @t305 @t338 @t304 @t337)) % 35.33/35.54 (define @t340 () (not (= @t2 tptp.nil))) % 35.33/35.54 (define @t341 () (or @t301 (not (= @t2 @t300)) @t299 @t298 @t296 (not (= @t289 (tptp.app (tptp.app @t295 @t2) @t292))) @t294)) % 35.33/35.54 (define @t342 () (and @t341 (or @t290 @t340))) % 35.33/35.54 (define @t343 () (not (= @t2 @t288))) % 35.33/35.54 (define @t344 () (or @t343 @t330 @t309 @t308 @t307 @t306 @t305 @t343 @t304 @t342)) % 35.33/35.54 (define @t345 () (or @t330 @t309 @t308 @t307 @t306 @t305 @t343 @t304 @t342)) % 35.33/35.54 (define @t346 () (forall @t11 @t345)) % 35.33/35.54 (define @t347 () (forall @t312 @t346)) % 35.33/35.54 (define @t348 () (forall (@list @t286 @t285 @t287 @t284 @t289 @t291 @t295 @t292 @t2) @t345)) % 35.33/35.54 (define @t349 () (@list @t2 @t286 @t285 @t287 @t284 @t289 @t291 @t295 @t292)) % 35.33/35.54 (define @t350 () (not (= @t289 tptp.nil))) % 35.33/35.54 (define @t351 () (or @t350 @t340)) % 35.33/35.54 (define @t352 () (and @t341 @t351)) % 35.33/35.54 (define @t353 () (or @t330 @t309 @t308 @t307 @t306 @t305 @t343 @t304 @t352)) % 35.33/35.54 (define @t354 () (or @t304 @t352)) % 35.33/35.54 (define @t355 () (or @t309 @t308 @t307 @t306 @t305 @t343)) % 35.33/35.54 (define @t356 () (or @t330 @t355 @t354)) % 35.33/35.54 (define @t357 () (forall @t349 @t356)) % 35.33/35.54 (define @t358 () (forall @t312 @t356)) % 35.33/35.54 (define @t359 () (forall (@list @t289 @t291 @t295 @t292) @t354)) % 35.33/35.54 (define @t360 () (@var "BOUND_VARIABLE_11381" $$unsorted)) % 35.33/35.54 (define @t361 () (@var "BOUND_VARIABLE_11379" $$unsorted)) % 35.33/35.54 (define @t362 () (@var "BOUND_VARIABLE_11377" $$unsorted)) % 35.33/35.54 (define @t363 () (forall (@list @t286 @t285 @t287 @t284) @t355)) % 35.33/35.54 (define @t364 () (@var "BOUND_VARIABLE_11037" $$unsorted)) % 35.33/35.54 (define @t365 () (@var "BOUND_VARIABLE_11035" $$unsorted)) % 35.33/35.54 (define @t366 () (@var "BOUND_VARIABLE_11033" $$unsorted)) % 35.33/35.54 (define @t367 () (or @t330 @t363 @t359)) % 35.33/35.54 (define @t368 () (not (= @t1 tptp.nil))) % 35.33/35.54 (define @t369 () (or @t368 @t340)) % 35.33/35.54 (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))))))) % 35.33/35.54 (define @t371 () (and @t370 @t369)) % 35.33/35.54 (define @t372 () (not @t24)) % 35.33/35.54 (define @t373 () (or @t372 @t371)) % 35.33/35.54 (define @t374 () (forall (@list @t1 @t362 @t361 @t360) @t373)) % 35.33/35.54 (define @t375 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t365 @t151) (tptp.cons @t366 tptp.nil)) @t364)))) % 35.33/35.54 (define @t376 () (not (tptp.ssList @t364))) % 35.33/35.54 (define @t377 () (not (tptp.ssList @t365))) % 35.33/35.54 (define @t378 () (tptp.neq @t31 @t366)) % 35.33/35.54 (define @t379 () (not (tptp.ssItem @t366))) % 35.33/35.54 (define @t380 () (not @t168)) % 35.33/35.54 (define @t381 () (or @t380 @t379 @t378 @t377 @t376 @t375)) % 35.33/35.54 (define @t382 () (@list @t31 @t366 @t365 @t364)) % 35.33/35.54 (define @t383 () (forall @t382 @t381)) % 35.33/35.54 (define @t384 () (or @t330 @t383 @t374)) % 35.33/35.54 (define @t385 () (or @t383 @t330 @t374)) % 35.33/35.54 (define @t386 () (@list @t362 @t361 @t360)) % 35.33/35.54 (define @t387 () (forall @t386 @t373)) % 35.33/35.54 (define @t388 () (forall @t386 @t369)) % 35.33/35.54 (define @t389 () (forall @t386 @t370)) % 35.33/35.54 (define @t390 () (@var "BOUND_VARIABLE_11328" $$unsorted)) % 35.33/35.54 (define @t391 () (@var "BOUND_VARIABLE_11326" $$unsorted)) % 35.33/35.54 (define @t392 () (@var "BOUND_VARIABLE_11324" $$unsorted)) % 35.33/35.54 (define @t393 () (@list @t392 @t391 @t390)) % 35.33/35.54 (define @t394 () (and @t389 @t388)) % 35.33/35.54 (define @t395 () (forall @t386 @t371)) % 35.33/35.54 (define @t396 () (or @t372 @t395)) % 35.33/35.54 (define @t397 () (and (forall (@list @t392 @t391 @t390) (or (not (tptp.ssItem @t392)) (not (= @t2 (tptp.cons @t392 tptp.nil))) (not (tptp.ssList @t391)) (not (forall @t127 (or @t297 (not (tptp.memberP @t391 @t121)) (not (tptp.lt @t392 @t121))))) (not (tptp.ssList @t390)) (not (= @t1 (tptp.app (tptp.app @t391 @t2) @t390))) (not (forall @t119 (or @t293 (not (tptp.memberP @t390 @t113)) (not (tptp.lt @t113 @t392))))))) @t369)) % 35.33/35.54 (define @t398 () (or @t372 @t397)) % 35.33/35.54 (define @t399 () (forall @t7 @t398)) % 35.33/35.54 (define @t400 () (or @t383 @t330 @t399)) % 35.33/35.54 (define @t401 () (or @t383 @t330 @t398)) % 35.33/35.54 (define @t402 () (or @t372 @t383 @t330 @t397)) % 35.33/35.54 (define @t403 () (or @t383 @t372 @t330 @t397)) % 35.33/35.54 (define @t404 () (@var "BOUND_VARIABLE_11271" $$unsorted)) % 35.33/35.54 (define @t405 () (@var "BOUND_VARIABLE_11269" $$unsorted)) % 35.33/35.54 (define @t406 () (@var "BOUND_VARIABLE_11267" $$unsorted)) % 35.33/35.54 (define @t407 () (@list @t406 @t405 @t404)) % 35.33/35.54 (define @t408 () (forall @t407 @t369)) % 35.33/35.54 (define @t409 () (not (forall @t119 (or @t293 (not (tptp.memberP @t404 @t113)) (not (tptp.lt @t113 @t406)))))) % 35.33/35.54 (define @t410 () (not (tptp.ssList @t404))) % 35.33/35.54 (define @t411 () (not (forall @t127 (or @t297 (not (tptp.memberP @t405 @t121)) (not (tptp.lt @t406 @t121)))))) % 35.33/35.54 (define @t412 () (not (tptp.ssList @t405))) % 35.33/35.54 (define @t413 () (tptp.cons @t406 tptp.nil)) % 35.33/35.54 (define @t414 () (not (tptp.ssItem @t406))) % 35.33/35.54 (define @t415 () (or @t414 (not (= @t2 @t413)) @t412 @t411 @t410 (not (= @t1 (tptp.app (tptp.app @t405 @t2) @t404))) @t409)) % 35.33/35.54 (define @t416 () (forall @t407 @t415)) % 35.33/35.54 (define @t417 () (@list @t406 @t405 @t404)) % 35.33/35.54 (define @t418 () (and @t416 @t408)) % 35.33/35.54 (define @t419 () (and @t415 @t369)) % 35.33/35.54 (define @t420 () (forall @t407 @t419)) % 35.33/35.54 (define @t421 () (or @t330 @t420)) % 35.33/35.54 (define @t422 () (or @t330 @t419)) % 35.33/35.54 (define @t423 () (not (= @t2 @t2))) % 35.33/35.54 (define @t424 () (or @t330 @t423 @t419)) % 35.33/35.54 (define @t425 () (not (= @t15 tptp.nil))) % 35.33/35.54 (define @t426 () (or @t368 @t425)) % 35.33/35.54 (define @t427 () (or @t414 (not (= @t15 @t413)) @t412 @t411 @t410 (not (= @t1 (tptp.app (tptp.app @t405 @t15) @t404))) @t409)) % 35.33/35.54 (define @t428 () (and @t427 @t426)) % 35.33/35.54 (define @t429 () (not @t18)) % 35.33/35.54 (define @t430 () (or @t171 @t429 @t171 @t428)) % 35.33/35.54 (define @t431 () (or @t429 @t171 @t428)) % 35.33/35.54 (define @t432 () (forall @t19 @t431)) % 35.33/35.54 (define @t433 () (forall @t407 @t432)) % 35.33/35.54 (define @t434 () (forall (@list @t406 @t405 @t404 @t15) @t431)) % 35.33/35.54 (define @t435 () (forall (@list @t15 @t406 @t405 @t404) @t431)) % 35.33/35.54 (define @t436 () (forall @t407 @t431)) % 35.33/35.54 (define @t437 () (forall @t407 @t426)) % 35.33/35.54 (define @t438 () (forall @t407 @t427)) % 35.33/35.54 (define @t439 () (@var "BOUND_VARIABLE_11218" $$unsorted)) % 35.33/35.54 (define @t440 () (@var "BOUND_VARIABLE_11216" $$unsorted)) % 35.33/35.54 (define @t441 () (@var "BOUND_VARIABLE_11214" $$unsorted)) % 35.33/35.54 (define @t442 () (@list @t441 @t440 @t439)) % 35.33/35.54 (define @t443 () (and @t438 @t437)) % 35.33/35.54 (define @t444 () (forall @t407 @t428)) % 35.33/35.54 (define @t445 () (or @t429 @t171 @t444)) % 35.33/35.54 (define @t446 () (and (forall (@list @t441 @t440 @t439) (or (not (tptp.ssItem @t441)) (not (= @t15 (tptp.cons @t441 tptp.nil))) (not (tptp.ssList @t440)) (not (forall @t127 (or @t297 (not (tptp.memberP @t440 @t121)) (not (tptp.lt @t441 @t121))))) (not (tptp.ssList @t439)) (not (= @t1 (tptp.app (tptp.app @t440 @t15) @t439))) (not (forall @t119 (or @t293 (not (tptp.memberP @t439 @t113)) (not (tptp.lt @t113 @t441))))))) @t426)) % 35.33/35.54 (define @t447 () (or @t429 @t171 @t446)) % 35.33/35.54 (define @t448 () (forall @t19 @t447)) % 35.33/35.54 (define @t449 () (or @t383 @t372 @t448)) % 35.33/35.54 (define @t450 () (or @t383 @t372 @t447)) % 35.33/35.54 (define @t451 () (or @t429 @t171 @t383 @t372 @t446)) % 35.33/35.54 (define @t452 () (or @t171 @t383 @t372 @t446)) % 35.33/35.54 (define @t453 () (@var "BOUND_VARIABLE_11167" $$unsorted)) % 35.33/35.54 (define @t454 () (@var "BOUND_VARIABLE_11165" $$unsorted)) % 35.33/35.54 (define @t455 () (@var "BOUND_VARIABLE_11163" $$unsorted)) % 35.33/35.54 (define @t456 () (@list @t455 @t454 @t453)) % 35.33/35.54 (define @t457 () (forall @t456 @t426)) % 35.33/35.54 (define @t458 () (not (forall @t119 (or @t293 (not (tptp.memberP @t453 @t113)) (not (tptp.lt @t113 @t455)))))) % 35.33/35.54 (define @t459 () (tptp.app (tptp.app @t454 @t15) @t453)) % 35.33/35.54 (define @t460 () (not (tptp.ssList @t453))) % 35.33/35.54 (define @t461 () (not (forall @t127 (or @t297 (not (tptp.memberP @t454 @t121)) (not (tptp.lt @t455 @t121)))))) % 35.33/35.54 (define @t462 () (not (tptp.ssList @t454))) % 35.33/35.54 (define @t463 () (not (= @t15 (tptp.cons @t455 tptp.nil)))) % 35.33/35.54 (define @t464 () (not (tptp.ssItem @t455))) % 35.33/35.54 (define @t465 () (or @t464 @t463 @t462 @t461 @t460 (not (= @t1 @t459)) @t458)) % 35.33/35.54 (define @t466 () (forall @t456 @t465)) % 35.33/35.54 (define @t467 () (@list @t455 @t454 @t453)) % 35.33/35.54 (define @t468 () (and @t466 @t457)) % 35.33/35.54 (define @t469 () (and @t465 @t426)) % 35.33/35.54 (define @t470 () (forall @t456 @t469)) % 35.33/35.54 (define @t471 () (or @t372 @t470)) % 35.33/35.54 (define @t472 () (or @t372 @t469)) % 35.33/35.54 (define @t473 () (or @t372 @t216 @t469)) % 35.33/35.54 (define @t474 () (or (not (= @t13 tptp.nil)) @t425)) % 35.33/35.54 (define @t475 () (or @t464 @t463 @t462 @t461 @t460 (not (= @t13 @t459)) @t458)) % 35.33/35.54 (define @t476 () (and @t475 @t474)) % 35.33/35.54 (define @t477 () (or @t172 @t237 @t172 @t476)) % 35.33/35.54 (define @t478 () (or @t237 @t172 @t476)) % 35.33/35.54 (define @t479 () (forall @t17 @t478)) % 35.33/35.54 (define @t480 () (forall @t456 @t479)) % 35.33/35.54 (define @t481 () (forall (@list @t455 @t454 @t453 @t13) @t478)) % 35.33/35.54 (define @t482 () (forall (@list @t13 @t455 @t454 @t453) @t478)) % 35.33/35.54 (define @t483 () (forall @t456 @t478)) % 35.33/35.54 (define @t484 () (forall @t456 @t474)) % 35.33/35.54 (define @t485 () (forall @t456 @t475)) % 35.33/35.54 (define @t486 () (@var "BOUND_VARIABLE_11123" $$unsorted)) % 35.33/35.54 (define @t487 () (@var "BOUND_VARIABLE_11121" $$unsorted)) % 35.33/35.54 (define @t488 () (and @t485 @t484)) % 35.33/35.54 (define @t489 () (forall @t456 @t476)) % 35.33/35.54 (define @t490 () (or @t237 @t172 @t489)) % 35.33/35.54 (define @t491 () (not @t114)) % 35.33/35.54 (define @t492 () (not (forall @t119 (or @t293 (not (tptp.memberP @t486 @t113)) @t491)))) % 35.33/35.54 (define @t493 () (not (= @t13 (tptp.app (tptp.app @t487 @t15) @t486)))) % 35.33/35.54 (define @t494 () (not (tptp.ssList @t486))) % 35.33/35.54 (define @t495 () (not @t122)) % 35.33/35.54 (define @t496 () (not (forall @t127 (or @t297 (not (tptp.memberP @t487 @t121)) @t495)))) % 35.33/35.54 (define @t497 () (not (tptp.ssList @t487))) % 35.33/35.54 (define @t498 () (not (= @t15 @t132))) % 35.33/35.54 (define @t499 () (not @t143)) % 35.33/35.54 (define @t500 () (or @t499 @t498 @t497 @t496 @t494 @t493 @t492)) % 35.33/35.54 (define @t501 () (@list @t112 @t487 @t486)) % 35.33/35.54 (define @t502 () (and (forall @t501 @t500) @t474)) % 35.33/35.54 (define @t503 () (or @t237 @t172 @t502)) % 35.33/35.54 (define @t504 () (forall @t17 @t503)) % 35.33/35.54 (define @t505 () (or @t171 @t383 @t504)) % 35.33/35.54 (define @t506 () (or @t171 @t383 @t503)) % 35.33/35.54 (define @t507 () (or @t237 @t172 @t171 @t383 @t502)) % 35.33/35.54 (define @t508 () (or @t172 @t171 @t383 @t502)) % 35.33/35.54 (define @t509 () (or @t497 @t496 @t494 @t493 @t492)) % 35.33/35.54 (define @t510 () (or @t499 @t498 @t509)) % 35.33/35.54 (define @t511 () (forall @t501 @t510)) % 35.33/35.54 (define @t512 () (@list @t487 @t486)) % 35.33/35.54 (define @t513 () (forall @t512 @t510)) % 35.33/35.54 (define @t514 () (forall @t512 @t509)) % 35.33/35.54 (define @t515 () (@var "BOUND_VARIABLE_11097" $$unsorted)) % 35.33/35.54 (define @t516 () (or @t499 @t498 @t514)) % 35.33/35.54 (define @t517 () (not (forall @t119 (or @t293 (not (tptp.memberP @t515 @t113)) @t491)))) % 35.33/35.54 (define @t518 () (not (= @t13 (tptp.app @t129 @t515)))) % 35.33/35.54 (define @t519 () (not (tptp.ssList @t515))) % 35.33/35.54 (define @t520 () (not @t124)) % 35.33/35.54 (define @t521 () (or @t297 @t520 @t495)) % 35.33/35.54 (define @t522 () (not (forall @t127 @t521))) % 35.33/35.54 (define @t523 () (not @t139)) % 35.33/35.54 (define @t524 () (or @t523 @t522 @t519 @t518 @t517)) % 35.33/35.54 (define @t525 () (@list @t123 @t515)) % 35.33/35.54 (define @t526 () (forall @t525 @t524)) % 35.33/35.54 (define @t527 () (or @t499 @t498 @t526)) % 35.33/35.54 (define @t528 () (or @t498 @t526)) % 35.33/35.54 (define @t529 () (or @t519 @t518 @t517)) % 35.33/35.54 (define @t530 () (or @t523 @t522 @t529)) % 35.33/35.54 (define @t531 () (forall @t525 @t530)) % 35.33/35.54 (define @t532 () (@list @t515)) % 35.33/35.54 (define @t533 () (forall @t532 @t530)) % 35.33/35.54 (define @t534 () (forall @t532 @t529)) % 35.33/35.54 (define @t535 () (or @t523 @t522 @t534)) % 35.33/35.54 (define @t536 () (not @t116)) % 35.33/35.54 (define @t537 () (or @t293 @t536 @t491)) % 35.33/35.54 (define @t538 () (not (forall @t119 @t537))) % 35.33/35.54 (define @t539 () (not (= @t13 @t130))) % 35.33/35.54 (define @t540 () (not @t135)) % 35.33/35.54 (define @t541 () (or @t540 @t539 @t538)) % 35.33/35.54 (define @t542 () (forall @t137 @t541)) % 35.33/35.54 (define @t543 () (or @t523 @t522 @t542)) % 35.33/35.54 (define @t544 () (forall @t141 @t543)) % 35.33/35.54 (define @t545 () (or @t498 @t544)) % 35.33/35.54 (define @t546 () (or @t498 @t543)) % 35.33/35.54 (define @t547 () (or @t523 @t498 @t522 @t542)) % 35.33/35.54 (define @t548 () (or @t498 @t522 @t542)) % 35.33/35.54 (define @t549 () (or @t498 @t522 @t541)) % 35.33/35.54 (define @t550 () (or @t540 @t498 @t539 @t522 @t538)) % 35.33/35.54 (define @t551 () (or @t498 @t539 @t522 @t538)) % 35.33/35.54 (define @t552 () (forall @t119 (not @t118))) % 35.33/35.54 (define @t553 () (not @t552)) % 35.33/35.54 (define @t554 () (forall @t127 (not @t126))) % 35.33/35.54 (define @t555 () (not @t554)) % 35.33/35.54 (define @t556 () (or @t379 @t378 @t377 @t376 @t375)) % 35.33/35.54 (define @t557 () (or @t380 @t556)) % 35.33/35.54 (define @t558 () (forall @t382 @t557)) % 35.33/35.54 (define @t559 () (@list @t366 @t365 @t364)) % 35.33/35.54 (define @t560 () (forall @t559 @t557)) % 35.33/35.54 (define @t561 () (forall @t559 @t556)) % 35.33/35.54 (define @t562 () (@var "BOUND_VARIABLE_11011" $$unsorted)) % 35.33/35.54 (define @t563 () (@var "BOUND_VARIABLE_11009" $$unsorted)) % 35.33/35.54 (define @t564 () (or @t380 @t561)) % 35.33/35.54 (define @t565 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t563 @t151) @t150) @t562)))) % 35.33/35.54 (define @t566 () (not (tptp.ssList @t562))) % 35.33/35.54 (define @t567 () (not (tptp.ssList @t563))) % 35.33/35.54 (define @t568 () (not @t165)) % 35.33/35.54 (define @t569 () (or @t568 @t148 @t567 @t566 @t565)) % 35.33/35.54 (define @t570 () (@list @t30 @t563 @t562)) % 35.33/35.54 (define @t571 () (forall @t570 @t569)) % 35.33/35.54 (define @t572 () (or @t567 @t566 @t565)) % 35.33/35.54 (define @t573 () (or @t568 @t572 @t148)) % 35.33/35.54 (define @t574 () (forall @t570 @t573)) % 35.33/35.54 (define @t575 () (@list @t563 @t562)) % 35.33/35.54 (define @t576 () (forall @t575 @t573)) % 35.33/35.54 (define @t577 () (forall @t575 @t572)) % 35.33/35.54 (define @t578 () (@var "BOUND_VARIABLE_10990" $$unsorted)) % 35.33/35.54 (define @t579 () (or @t568 @t577 @t148)) % 35.33/35.54 (define @t580 () (not (= @t2 (tptp.app @t153 @t578)))) % 35.33/35.54 (define @t581 () (not (tptp.ssList @t578))) % 35.33/35.54 (define @t582 () (not @t160)) % 35.33/35.54 (define @t583 () (or @t582 @t581 @t580)) % 35.33/35.54 (define @t584 () (@list @t152 @t578)) % 35.33/35.54 (define @t585 () (forall @t584 @t583)) % 35.33/35.54 (define @t586 () (or @t568 @t585 @t148)) % 35.33/35.54 (define @t587 () (or @t585 @t148)) % 35.33/35.54 (define @t588 () (or @t581 @t580)) % 35.33/35.54 (define @t589 () (or @t582 @t588)) % 35.33/35.54 (define @t590 () (forall @t584 @t589)) % 35.33/35.54 (define @t591 () (@list @t578)) % 35.33/35.54 (define @t592 () (forall @t591 @t589)) % 35.33/35.54 (define @t593 () (forall @t591 @t588)) % 35.33/35.54 (define @t594 () (or @t582 @t593)) % 35.33/35.54 (define @t595 () (not (= @t2 @t154))) % 35.33/35.54 (define @t596 () (forall @t158 (or (not @t156) @t595))) % 35.33/35.54 (define @t597 () (= tptp.nil @t321)) % 35.33/35.54 (define @t598 () (not @t597)) % 35.33/35.54 (define @t599 () (@quantifiers_skolemize @t313 4)) % 35.33/35.54 (define @t600 () (or (not (= tptp.nil @t599)) @t598)) % 35.33/35.54 (define @t601 () (@quantifiers_skolemize @t313 5)) % 35.33/35.54 (define @t602 () (@quantifiers_skolemize @t313 7)) % 35.33/35.54 (define @t603 () (@quantifiers_skolemize @t313 6)) % 35.33/35.54 (define @t604 () (tptp.cons @t601 tptp.nil)) % 35.33/35.54 (define @t605 () (= @t321 @t604)) % 35.33/35.54 (define @t606 () (not @t605)) % 35.33/35.54 (define @t607 () (tptp.ssItem @t601)) % 35.33/35.54 (define @t608 () (not @t607)) % 35.33/35.54 (define @t609 () (or @t608 @t606 (not (tptp.ssList @t603)) (not (forall @t127 (or @t297 (not (tptp.memberP @t603 @t121)) (not (tptp.lt @t601 @t121))))) (not (tptp.ssList @t602)) (not (= @t599 (tptp.app (tptp.app @t603 @t321) @t602))) (not (forall @t119 (or @t293 (not (tptp.memberP @t602 @t113)) (not (tptp.lt @t113 @t601))))))) % 35.33/35.54 (define @t610 () (and @t609 @t600)) % 35.33/35.54 (define @t611 () (tptp.ssList @t314)) % 35.33/35.54 (define @t612 () (not @t611)) % 35.33/35.54 (define @t613 () (tptp.ssList @t319)) % 35.33/35.54 (define @t614 () (not @t613)) % 35.33/35.54 (define @t615 () (tptp.neq @t317 @t315)) % 35.33/35.54 (define @t616 () (tptp.ssItem @t315)) % 35.33/35.54 (define @t617 () (not @t616)) % 35.33/35.54 (define @t618 () (tptp.ssItem @t317)) % 35.33/35.54 (define @t619 () (not @t618)) % 35.33/35.54 (define @t620 () (or @t328 @t619 @t617 @t615 @t614 @t612 (not (tptp.ssList @t599)) @t610)) % 35.33/35.54 (define @t621 () (@list true)) % 35.33/35.54 (define @t622 () (@list @t620)) % 35.33/35.54 (define @t623 () (@list false false)) % 35.33/35.54 (define @t624 () (= @t2 @t82)) % 35.33/35.54 (define @t625 () (tptp.app tptp.nil @t314)) % 35.33/35.54 (define @t626 () (= @t314 @t625)) % 35.33/35.54 (define @t627 () (or @t612 @t626)) % 35.33/35.54 (define @t628 () (tptp.cons @t317 @t625)) % 35.33/35.54 (define @t629 () (@var "BOUND_VARIABLE_9457" $$unsorted)) % 35.33/35.54 (define @t630 () (@var "BOUND_VARIABLE_9459" $$unsorted)) % 35.33/35.54 (define @t631 () (= (tptp.cons @t630 (tptp.app @t629 @t2)) (tptp.app (tptp.cons @t630 @t629) @t2))) % 35.33/35.54 (define @t632 () (not (tptp.ssItem @t630))) % 35.33/35.54 (define @t633 () (not (tptp.ssList @t629))) % 35.33/35.54 (define @t634 () (or @t633 @t632 @t631)) % 35.33/35.54 (define @t635 () (or @t330 @t634)) % 35.33/35.54 (define @t636 () (forall (@list @t2 @t629 @t630) @t635)) % 35.33/35.54 (define @t637 () (@list @t629 @t630)) % 35.33/35.54 (define @t638 () (forall @t637 @t635)) % 35.33/35.54 (define @t639 () (forall @t637 @t634)) % 35.33/35.54 (define @t640 () (@var "BOUND_VARIABLE_9439" $$unsorted)) % 35.33/35.54 (define @t641 () (or @t330 @t639)) % 35.33/35.54 (define @t642 () (= (tptp.cons @t640 @t75) (tptp.app (tptp.cons @t640 @t1) @t2))) % 35.33/35.54 (define @t643 () (not (tptp.ssItem @t640))) % 35.33/35.54 (define @t644 () (or @t372 @t643 @t642)) % 35.33/35.54 (define @t645 () (@list @t1 @t640)) % 35.33/35.54 (define @t646 () (forall @t645 @t644)) % 35.33/35.54 (define @t647 () (or @t643 @t642)) % 35.33/35.54 (define @t648 () (or @t372 @t647)) % 35.33/35.54 (define @t649 () (forall @t645 @t648)) % 35.33/35.54 (define @t650 () (@list @t640)) % 35.33/35.54 (define @t651 () (forall @t650 @t648)) % 35.33/35.54 (define @t652 () (forall @t650 @t647)) % 35.33/35.54 (define @t653 () (@list @t15)) % 35.33/35.54 (define @t654 () (or @t372 @t652)) % 35.33/35.54 (define @t655 () (forall @t19 (or @t219 @t76))) % 35.33/35.54 (define @t656 () (= @t628 (tptp.app @t318 @t314))) % 35.33/35.54 (define @t657 () (not @t63)) % 35.33/35.54 (define @t658 () (or @t612 @t657 @t619 @t656)) % 35.33/35.54 (define @t659 () (@list false false false false)) % 35.33/35.54 (define @t660 () (@var "BOUND_VARIABLE_8222" $$unsorted)) % 35.33/35.54 (define @t661 () (= (tptp.neq @t2 @t660) (not (= @t2 @t660)))) % 35.33/35.54 (define @t662 () (not (tptp.ssItem @t660))) % 35.33/35.54 (define @t663 () (not @t9)) % 35.33/35.54 (define @t664 () (or @t662 @t661)) % 35.33/35.54 (define @t665 () (or @t663 @t664)) % 35.33/35.54 (define @t666 () (forall (@list @t2 @t660) @t665)) % 35.33/35.54 (define @t667 () (@list @t660)) % 35.33/35.54 (define @t668 () (forall @t667 @t665)) % 35.33/35.54 (define @t669 () (forall @t667 @t664)) % 35.33/35.54 (define @t670 () (@list @t1)) % 35.33/35.54 (define @t671 () (or @t663 @t669)) % 35.33/35.54 (define @t672 () (forall @t7 (or @t191 @t5))) % 35.33/35.54 (define @t673 () (= @t317 @t315)) % 35.33/35.54 (define @t674 () (not @t673)) % 35.33/35.54 (define @t675 () (= @t615 @t674)) % 35.33/35.54 (define @t676 () (or @t619 @t617 @t675)) % 35.33/35.54 (define @t677 () (@list false false false)) % 35.33/35.54 (define @t678 () (not @t675)) % 35.33/35.54 (define @t679 () (@list true false)) % 35.33/35.54 (define @t680 () (tptp.app @t316 @t314)) % 35.33/35.54 (define @t681 () (tptp.app @t320 @t680)) % 35.33/35.54 (define @t682 () (@var "BOUND_VARIABLE_10620" $$unsorted)) % 35.33/35.54 (define @t683 () (@var "BOUND_VARIABLE_10618" $$unsorted)) % 35.33/35.54 (define @t684 () (= (tptp.app (tptp.app @t2 @t683) @t682) (tptp.app @t2 (tptp.app @t683 @t682)))) % 35.33/35.54 (define @t685 () (not (tptp.ssList @t682))) % 35.33/35.54 (define @t686 () (not (tptp.ssList @t683))) % 35.33/35.54 (define @t687 () (or @t686 @t685 @t684)) % 35.33/35.54 (define @t688 () (or @t330 @t687)) % 35.33/35.54 (define @t689 () (forall (@list @t2 @t683 @t682) @t688)) % 35.33/35.54 (define @t690 () (@list @t683 @t682)) % 35.33/35.54 (define @t691 () (forall @t690 @t688)) % 35.33/35.54 (define @t692 () (forall @t690 @t687)) % 35.33/35.54 (define @t693 () (@var "BOUND_VARIABLE_10600" $$unsorted)) % 35.33/35.54 (define @t694 () (or @t330 @t692)) % 35.33/35.54 (define @t695 () (= (tptp.app @t70 @t693) (tptp.app @t2 (tptp.app @t1 @t693)))) % 35.33/35.54 (define @t696 () (not (tptp.ssList @t693))) % 35.33/35.54 (define @t697 () (or @t372 @t696 @t695)) % 35.33/35.54 (define @t698 () (@list @t1 @t693)) % 35.33/35.54 (define @t699 () (forall @t698 @t697)) % 35.33/35.54 (define @t700 () (or @t696 @t695)) % 35.33/35.54 (define @t701 () (or @t372 @t700)) % 35.33/35.54 (define @t702 () (forall @t698 @t701)) % 35.33/35.54 (define @t703 () (@list @t693)) % 35.33/35.54 (define @t704 () (forall @t703 @t701)) % 35.33/35.54 (define @t705 () (forall @t703 @t700)) % 35.33/35.54 (define @t706 () (or @t372 @t705)) % 35.33/35.54 (define @t707 () (forall @t19 (or @t429 @t103))) % 35.33/35.54 (define @t708 () (@var "BOUND_VARIABLE_9176" $$unsorted)) % 35.33/35.54 (define @t709 () (tptp.ssList (tptp.cons @t708 @t2))) % 35.33/35.54 (define @t710 () (not (tptp.ssItem @t708))) % 35.33/35.54 (define @t711 () (or @t710 @t709)) % 35.33/35.54 (define @t712 () (or @t330 @t711)) % 35.33/35.54 (define @t713 () (forall (@list @t2 @t708) @t712)) % 35.33/35.54 (define @t714 () (@list @t708)) % 35.33/35.54 (define @t715 () (forall @t714 @t712)) % 35.33/35.54 (define @t716 () (forall @t714 @t711)) % 35.33/35.54 (define @t717 () (or @t330 @t716)) % 35.33/35.54 (define @t718 () (forall @t7 (or @t191 @t59))) % 35.33/35.54 (define @t719 () (tptp.ssList @t316)) % 35.33/35.54 (define @t720 () (or @t657 @t617 @t719)) % 35.33/35.54 (define @t721 () (@var "BOUND_VARIABLE_9420" $$unsorted)) % 35.33/35.54 (define @t722 () (tptp.ssList (tptp.app @t2 @t721))) % 35.33/35.54 (define @t723 () (not (tptp.ssList @t721))) % 35.33/35.54 (define @t724 () (or @t723 @t722)) % 35.33/35.54 (define @t725 () (or @t330 @t724)) % 35.33/35.54 (define @t726 () (forall (@list @t2 @t721) @t725)) % 35.33/35.54 (define @t727 () (@list @t721)) % 35.33/35.54 (define @t728 () (forall @t727 @t725)) % 35.33/35.54 (define @t729 () (forall @t727 @t724)) % 35.33/35.54 (define @t730 () (or @t330 @t729)) % 35.33/35.54 (define @t731 () (forall @t7 (or @t372 @t71))) % 35.33/35.54 (define @t732 () (tptp.ssList @t318)) % 35.33/35.54 (define @t733 () (tptp.ssList @t320)) % 35.33/35.54 (define @t734 () (not @t732)) % 35.33/35.54 (define @t735 () (or @t614 @t734 @t733)) % 35.33/35.54 (define @t736 () (= @t321 @t681)) % 35.33/35.54 (define @t737 () (not @t719)) % 35.33/35.54 (define @t738 () (not @t733)) % 35.33/35.54 (define @t739 () (or @t738 @t737 @t612 @t736)) % 35.33/35.54 (define @t740 () (tptp.app @t320 (tptp.cons @t317 @t314))) % 35.33/35.54 (define @t741 () (= @t321 @t740)) % 35.33/35.54 (define @t742 () (not @t741)) % 35.33/35.54 (define @t743 () (or @t619 @t614 @t657 @t612 @t742)) % 35.33/35.54 (define @t744 () (not @t743)) % 35.33/35.54 (define @t745 () (not (= @t740 @t321))) % 35.33/35.54 (define @t746 () (or @t619 @t614 @t657 @t612 @t745)) % 35.33/35.54 (define @t747 () (not @t325)) % 35.33/35.54 (define @t748 () (not @t101)) % 35.33/35.54 (define @t749 () (not @t747)) % 35.33/35.54 (define @t750 () (@list @t609)) % 35.33/35.54 (define @t751 () (tptp.duplicatefreeP @t604)) % 35.33/35.54 (define @t752 () (or @t608 @t751)) % 35.33/35.54 (define @t753 () (not @t751)) % 35.33/35.54 (define @t754 () (and @t747 @t605 @t751)) % 35.33/35.54 (assume @p1 @t12) % 35.33/35.54 (assume @p2 (exists @t11 (and @t9 (exists @t7 (and @t6 @t4))))) % 35.33/35.54 (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))))))))))) % 35.33/35.54 (assume @p4 (forall @t11 (=> @t20 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t21 @t2))))))) % 35.33/35.54 (assume @p5 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t23 (exists @t19 (and @t18 (= @t22 @t2))))))))) % 35.33/35.54 (assume @p6 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t26 (exists @t19 (and @t18 (= @t25 @t2))))))))) % 35.33/35.54 (assume @p7 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= @t27 (exists @t19 (and @t18 (exists @t17 (and @t16 (= (tptp.app @t25 @t13) @t2))))))))))) % 35.33/35.54 (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))))))))))))))))) % 35.33/35.54 (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)))))))))))))))) % 35.33/35.54 (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))))))))))))))))) % 35.33/35.54 (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))))))))))))))) % 35.33/35.54 (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))))))))))))))) % 35.33/35.54 (assume @p13 @t57) % 35.33/35.54 (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))))))))))))) % 35.33/35.54 (assume @p15 (forall @t11 (=> @t20 (forall @t7 (=> @t24 @t5))))) % 35.33/35.54 (assume @p16 @t62) % 35.33/35.54 (assume @p17 @t63) % 35.33/35.54 (assume @p18 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= @t58 @t2))))))) % 35.33/35.54 (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))))))))))) % 35.33/35.54 (assume @p20 (forall @t11 (=> @t20 (or @t66 (exists @t7 (and @t24 (exists @t19 (and @t39 (= @t65 @t2))))))))) % 35.33/35.54 (assume @p21 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (not (= tptp.nil @t58))))))) % 35.33/35.54 (assume @p22 (forall @t11 (=> @t20 (=> @t68 (tptp.ssItem @t67))))) % 35.33/35.54 (assume @p23 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.hd @t58) @t1)))))) % 35.33/35.54 (assume @p24 (forall @t11 (=> @t20 (=> @t68 (tptp.ssList @t69))))) % 35.33/35.54 (assume @p25 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= (tptp.tl @t58) @t2)))))) % 35.33/35.54 (assume @p26 @t74) % 35.33/35.54 (assume @p27 @t81) % 35.33/35.54 (assume @p28 @t84) % 35.33/35.54 (assume @p29 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t86 @t85) @t3)))))) % 35.33/35.54 (assume @p30 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t86 @t29) (tptp.leq @t2 @t15))))))))) % 35.33/35.54 (assume @p31 (forall @t11 (=> @t9 (tptp.leq @t2 @t2)))) % 35.33/35.54 (assume @p32 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t87 @t85)))))) % 35.33/35.54 (assume @p33 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t89 (not @t88))))))) % 35.33/35.54 (assume @p34 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t89 @t40) @t90)))))))) % 35.33/35.54 (assume @p35 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t91 @t88)))))) % 35.33/35.54 (assume @p36 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (= (tptp.memberP @t22 @t2) (or (tptp.memberP @t1 @t2) @t92))))))))) % 35.33/35.54 (assume @p37 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t15) @t2) (or @t3 @t92))))))))) % 35.33/35.54 (assume @p38 (forall @t11 (=> @t9 (not (tptp.memberP tptp.nil @t2))))) % 35.33/35.54 (assume @p39 (not (tptp.singletonP tptp.nil))) % 35.33/35.54 (assume @p40 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t23 (tptp.frontsegP @t1 @t15)) (tptp.frontsegP @t2 @t15))))))))) % 35.33/35.54 (assume @p41 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t23 (tptp.frontsegP @t1 @t2)) @t3)))))) % 35.33/35.54 (assume @p42 (forall @t11 (=> @t20 (tptp.frontsegP @t2 @t2)))) % 35.33/35.54 (assume @p43 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> @t23 (tptp.frontsegP (tptp.app @t2 @t15) @t1))))))))) % 35.33/35.54 (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)))))))))))) % 35.33/35.54 (assume @p45 (forall @t11 (=> @t20 (tptp.frontsegP @t2 tptp.nil)))) % 35.33/35.54 (assume @p46 (forall @t11 (=> @t20 (= (tptp.frontsegP tptp.nil @t2) @t66)))) % 35.33/35.54 (assume @p47 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t26 (tptp.rearsegP @t1 @t15)) (tptp.rearsegP @t2 @t15))))))))) % 35.33/35.54 (assume @p48 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t26 (tptp.rearsegP @t1 @t2)) @t3)))))) % 35.33/35.54 (assume @p49 (forall @t11 (=> @t20 (tptp.rearsegP @t2 @t2)))) % 35.33/35.54 (assume @p50 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> @t26 (tptp.rearsegP @t93 @t1))))))))) % 35.33/35.54 (assume @p51 (forall @t11 (=> @t20 (tptp.rearsegP @t2 tptp.nil)))) % 35.33/35.54 (assume @p52 (forall @t11 (=> @t20 (= (tptp.rearsegP tptp.nil @t2) @t66)))) % 35.33/35.54 (assume @p53 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (and @t27 (tptp.segmentP @t1 @t15)) (tptp.segmentP @t2 @t15))))))))) % 35.33/35.54 (assume @p54 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t27 (tptp.segmentP @t1 @t2)) @t3)))))) % 35.33/35.54 (assume @p55 (forall @t11 (=> @t20 (tptp.segmentP @t2 @t2)))) % 35.33/35.54 (assume @p56 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (forall @t17 (=> @t16 (=> @t27 (tptp.segmentP (tptp.app @t93 @t13) @t1))))))))))) % 35.33/35.54 (assume @p57 (forall @t11 (=> @t20 (tptp.segmentP @t2 tptp.nil)))) % 35.33/35.54 (assume @p58 (forall @t11 (=> @t20 (= (tptp.segmentP tptp.nil @t2) @t66)))) % 35.33/35.54 (assume @p59 (forall @t11 (=> @t9 (tptp.cyclefreeP @t94)))) % 35.33/35.54 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 35.33/35.54 (assume @p61 (forall @t11 (=> @t9 (tptp.totalorderP @t94)))) % 35.33/35.54 (assume @p62 (tptp.totalorderP tptp.nil)) % 35.33/35.54 (assume @p63 (forall @t11 (=> @t9 (tptp.strictorderP @t94)))) % 35.33/35.54 (assume @p64 (tptp.strictorderP tptp.nil)) % 35.33/35.54 (assume @p65 (forall @t11 (=> @t9 (tptp.totalorderedP @t94)))) % 35.33/35.54 (assume @p66 (tptp.totalorderedP tptp.nil)) % 35.33/35.54 (assume @p67 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t98) (or @t96 (and @t97 (tptp.totalorderedP @t1) (tptp.leq @t2 @t95))))))))) % 35.33/35.54 (assume @p68 (forall @t11 (=> @t9 (tptp.strictorderedP @t94)))) % 35.33/35.54 (assume @p69 (tptp.strictorderedP tptp.nil)) % 35.33/35.54 (assume @p70 (forall @t11 (=> @t9 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t98) (or @t96 (and @t97 (tptp.strictorderedP @t1) (tptp.lt @t2 @t95))))))))) % 35.33/35.54 (assume @p71 @t100) % 35.33/35.54 (assume @p72 @t101) % 35.33/35.54 (assume @p73 (forall @t11 (=> @t9 (tptp.equalelemsP @t94)))) % 35.33/35.54 (assume @p74 (tptp.equalelemsP tptp.nil)) % 35.33/35.54 (assume @p75 (forall @t11 (=> @t20 (=> @t68 (exists @t7 (and @t6 (= @t67 @t1))))))) % 35.33/35.54 (assume @p76 (forall @t11 (=> @t20 (=> @t68 (exists @t7 (and @t24 (= @t69 @t1))))))) % 35.33/35.54 (assume @p77 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> (and @t97 @t68 (= @t95 @t67) (= (tptp.tl @t1) @t69)) @t64)))))) % 35.33/35.54 (assume @p78 (forall @t11 (=> @t20 (=> @t68 (= (tptp.cons @t67 @t69) @t2))))) % 35.33/35.54 (assume @p79 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (= @t25 @t70) @t102)))))))) % 35.33/35.54 (assume @p80 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (forall @t19 (=> @t18 (=> (= @t22 @t75) @t102)))))))) % 35.33/35.54 (assume @p81 (forall @t11 (=> @t20 (forall @t7 (=> @t6 (= @t58 (tptp.app @t21 @t2))))))) % 35.33/35.54 (assume @p82 @t108) % 35.33/35.54 (assume @p83 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (= (= tptp.nil @t70) (and @t96 @t66))))))) % 35.33/35.54 (assume @p84 (forall @t11 (=> @t20 (= (tptp.app @t2 tptp.nil) @t2)))) % 35.33/35.54 (assume @p85 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> @t68 (= (tptp.hd @t70) @t67))))))) % 35.33/35.54 (assume @p86 (forall @t11 (=> @t20 (forall @t7 (=> @t24 (=> @t68 (= (tptp.tl @t70) (tptp.app @t69 @t1)))))))) % 35.33/35.54 (assume @p87 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> (and @t87 (tptp.geq @t1 @t2)) @t3)))))) % 35.33/35.54 (assume @p88 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t87 (tptp.geq @t1 @t15)) (tptp.geq @t2 @t15))))))))) % 35.33/35.54 (assume @p89 (forall @t11 (=> @t9 (tptp.geq @t2 @t2)))) % 35.33/35.54 (assume @p90 (forall @t11 (=> @t9 (not (tptp.lt @t2 @t2))))) % 35.33/35.54 (assume @p91 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t86 @t40) @t90)))))))) % 35.33/35.54 (assume @p92 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t86 (or @t3 @t89))))))) % 35.33/35.54 (assume @p93 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (= @t89 (and @t4 @t86))))))) % 35.33/35.54 (assume @p94 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (=> @t91 (not (tptp.gt @t1 @t2)))))))) % 35.33/35.54 (assume @p95 (forall @t11 (=> @t9 (forall @t7 (=> @t6 (forall @t19 (=> @t39 (=> (and @t91 (tptp.gt @t1 @t15)) (tptp.gt @t2 @t15))))))))) % 35.33/35.54 (assume @p96 @t182) % 35.33/35.54 (assume @p97 true) % 35.33/35.54 (step @p98 :rule bool-impl-elim :args (@t20 @t194)) % 35.33/35.54 (step @p99 :rule cong :premises (@p98) :args ((forall @t11 (=> @t20 @t194)))) % 35.33/35.54 (step @p100 :rule aci_norm :args ((= @t196 @t192))) % 35.33/35.54 (step @p101 :rule cong :premises (@p100) :args (@t197)) % 35.33/35.54 (step @p102 :rule quant-merge-prenex :args ((= (forall @t7 @t199) @t197))) % 35.33/35.54 (step @p103 :rule alpha_equiv :args (@t200 (@list @t185 @t184 @t183) @t204)) % 35.33/35.54 (step @p104 :rule refl :args (@t191)) % 35.33/35.54 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t205)) % 35.33/35.54 (step @p106 :rule quant-miniscope-or :args ((= @t199 @t205))) % 35.33/35.54 (step @p107 :rule trans :premises (@p106 @p105)) % 35.33/35.54 (step @p108 :rule symm :premises (@p107)) % 35.33/35.54 (step @p109 :rule cong :premises (@p108) :args ((forall @t7 @t213))) % 35.33/35.54 (step @p110 :rule trans :premises (@p109 @p102)) % 35.33/35.54 (step @p111 :rule trans :premises (@p110 @p101)) % 35.33/35.54 (step @p112 :rule aci_norm :args ((= (or @t191 @t213) @t213))) % 35.33/35.54 (step @p113 :rule bool-impl-elim :args (@t6 @t213)) % 35.33/35.54 (step @p114 :rule trans :premises (@p113 @p112)) % 35.33/35.54 (step @p115 :rule cong :premises (@p114) :args ((forall @t7 (=> @t6 @t213)))) % 35.33/35.54 (step @p116 :rule trans :premises (@p115 @p111)) % 35.33/35.54 (step @p117 :rule quant-miniscope-or :args ((= (forall @t212 @t214) @t213))) % 35.33/35.54 (step @p118 :rule aci_norm :args ((= @t215 @t214))) % 35.33/35.54 (step @p119 :rule cong :premises (@p118) :args ((forall @t212 @t215))) % 35.33/35.54 (step @p120 :rule trans :premises (@p119 @p117)) % 35.33/35.54 (step @p121 :rule aci_norm :args ((= (or @t191 false @t210 @t209 @t208 @t207) @t215))) % 35.33/35.54 (step @p122 :rule refl :args (@t207)) % 35.33/35.54 (step @p123 :rule refl :args (@t208)) % 35.33/35.54 (step @p124 :rule refl :args (@t209)) % 35.33/35.54 (step @p125 :rule refl :args (@t210)) % 35.33/35.54 (step @p126 :rule evaluate :args ((not true))) % 35.33/35.54 (step @p127 :rule eq-refl :args (@t1)) % 35.33/35.54 (step @p128 :rule cong :premises (@p127) :args (@t216)) % 35.33/35.54 (step @p129 :rule trans :premises (@p128 @p126)) % 35.33/35.54 (step @p130 :rule refl :args (@t191)) % 35.33/35.54 (step @p131 :rule nary_cong :premises (@p130 @p129 @p125 @p124 @p123 @p122) :args (@t217)) % 35.33/35.54 (step @p132 :rule trans :premises (@p131 @p121)) % 35.33/35.54 (step @p133 :rule cong :premises (@p132) :args ((forall @t212 @t217))) % 35.33/35.54 (step @p134 :rule trans :premises (@p133 @p120)) % 35.33/35.54 (step @p135 :rule quant-var-elim-eq :args ((= (forall @t19 (or (not (= @t15 @t1)) @t219 @t42 @t210 @t209 @t208 @t218)) @t217))) % 35.33/35.54 (step @p136 :rule refl :args (@t218)) % 35.33/35.54 (step @p137 :rule refl :args (@t208)) % 35.33/35.54 (step @p138 :rule refl :args (@t209)) % 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:args ((forall @t11 (or @t330 @t699)))) % 35.33/35.54 (step @p806 :rule trans :premises (@p805 @p799)) % 35.33/35.54 (step @p807 :rule trans :premises (@p806 @p798)) % 35.33/35.54 (step @p808 :rule bool-impl-elim :args (@t20 @t699)) % 35.33/35.54 (step @p809 :rule cong :premises (@p808) :args ((forall @t11 (=> @t20 @t699)))) % 35.33/35.54 (step @p810 :rule trans :premises (@p809 @p807)) % 35.33/35.54 (step @p811 :rule aci_norm :args ((= @t701 @t697))) % 35.33/35.54 (step @p812 :rule cong :premises (@p811) :args (@t702)) % 35.33/35.54 (step @p813 :rule quant-merge-prenex :args ((= (forall @t7 @t704) @t702))) % 35.33/35.54 (step @p814 :rule alpha_equiv :args (@t705 (@list @t693) @t653)) % 35.33/35.54 (step @p815 :rule nary_cong :premises (@p346 @p814) :args (@t706)) % 35.33/35.54 (step @p816 :rule quant-miniscope-or :args ((= @t704 @t706))) % 35.33/35.54 (step @p817 :rule trans :premises (@p816 @p815)) % 35.33/35.54 (step @p818 :rule symm :premises (@p817)) % 35.33/35.54 (step @p819 :rule cong :premises (@p818) :args ((forall @t7 (or @t372 @t707)))) % 35.33/35.54 (step @p820 :rule trans :premises (@p819 @p813)) % 35.33/35.54 (step @p821 :rule trans :premises (@p820 @p812)) % 35.33/35.54 (step @p822 :rule bool-impl-elim :args (@t24 @t707)) % 35.33/35.54 (step @p823 :rule cong :premises (@p822) :args ((forall @t7 (=> @t24 @t707)))) % 35.33/35.54 (step @p824 :rule trans :premises (@p823 @p821)) % 35.33/35.54 (step @p825 :rule bool-impl-elim :args (@t18 @t103)) % 35.33/35.54 (step @p826 :rule cong :premises (@p825) :args (@t104)) % 35.33/35.54 (step @p827 :rule cong :premises (@p659 @p826) :args (@t105)) % 35.33/35.54 (step @p828 :rule cong :premises (@p827) :args (@t106)) % 35.33/35.54 (step @p829 :rule trans :premises (@p828 @p824)) % 35.33/35.54 (step @p830 :rule cong :premises (@p256 @p829) :args (@t107)) % 35.33/35.54 (step @p831 :rule cong :premises (@p830) :args (@t108)) % 35.33/35.54 (step @p832 :rule trans :premises (@p831 @p810)) % 35.33/35.54 (step @p833 :rule eq_resolve :premises (@p82 @p832)) % 35.33/35.54 (step @p834 :rule instantiate :premises (@p833) :args ((@list @t320 @t316 @t314))) % 35.33/35.54 (step @p835 :rule aci_norm :args ((= @t712 (or @t330 @t710 @t709)))) % 35.33/35.54 (step @p836 :rule cong :premises (@p835) :args (@t713)) % 35.33/35.54 (step @p837 :rule quant-merge-prenex :args ((= (forall @t11 @t715) @t713))) % 35.33/35.54 (step @p838 :rule alpha_equiv :args (@t716 (@list @t708) @t670)) % 35.33/35.54 (step @p839 :rule nary_cong :premises (@p327 @p838) :args (@t717)) % 35.33/35.54 (step @p840 :rule quant-miniscope-or :args ((= @t715 @t717))) % 35.33/35.54 (step @p841 :rule trans :premises (@p840 @p839)) % 35.33/35.54 (step @p842 :rule symm :premises (@p841)) % 35.33/35.54 (step @p843 :rule cong :premises (@p842) :args ((forall @t11 (or @t330 @t718)))) % 35.33/35.54 (step @p844 :rule trans :premises (@p843 @p837)) % 35.33/35.54 (step @p845 :rule trans :premises (@p844 @p836)) % 35.33/35.54 (step @p846 :rule bool-impl-elim :args (@t20 @t718)) % 35.33/35.54 (step @p847 :rule cong :premises (@p846) :args ((forall @t11 (=> @t20 @t718)))) % 35.33/35.54 (step @p848 :rule trans :premises (@p847 @p845)) % 35.33/35.54 (step @p849 :rule bool-impl-elim :args (@t6 @t59)) % 35.33/35.54 (step @p850 :rule cong :premises (@p849) :args (@t60)) % 35.33/35.54 (step @p851 :rule cong :premises (@p256 @p850) :args (@t61)) % 35.33/35.54 (step @p852 :rule cong :premises (@p851) :args (@t62)) % 35.33/35.54 (step @p853 :rule trans :premises (@p852 @p848)) % 35.33/35.54 (step @p854 :rule eq_resolve :premises (@p16 @p853)) % 35.33/35.54 (step @p855 :rule instantiate :premises (@p854) :args ((@list tptp.nil @t315))) % 35.33/35.54 (step @p856 :rule cnf_or_pos :args (@t720)) % 35.33/35.54 (step @p857 :rule reordering :premises (@p856) :args ((or @t657 @t617 @t719 (not @t720)))) % 35.33/35.54 (step @p858 :rule chain_m_resolution :premises (@p857 @p17 @p777 @p855) :args (@t719 @t677 (@list @t63 @t616 @t720))) % 35.33/35.54 (step @p859 :rule aci_norm :args ((= @t725 (or @t330 @t723 @t722)))) % 35.33/35.54 (step @p860 :rule cong :premises (@p859) :args (@t726)) % 35.33/35.54 (step @p861 :rule quant-merge-prenex :args ((= (forall @t11 @t728) @t726))) % 35.33/35.54 (step @p862 :rule alpha_equiv :args (@t729 (@list @t721) @t670)) % 35.33/35.54 (step @p863 :rule nary_cong :premises (@p327 @p862) :args (@t730)) % 35.33/35.54 (step @p864 :rule quant-miniscope-or :args ((= @t728 @t730))) % 35.33/35.54 (step @p865 :rule trans :premises (@p864 @p863)) % 35.33/35.54 (step @p866 :rule symm :premises (@p865)) % 35.33/35.54 (step @p867 :rule cong :premises (@p866) :args ((forall @t11 (or @t330 @t731)))) % 35.33/35.54 (step @p868 :rule trans :premises (@p867 @p861)) % 35.33/35.54 (step @p869 :rule trans :premises (@p868 @p860)) % 35.33/35.54 (step @p870 :rule bool-impl-elim :args (@t20 @t731)) % 35.33/35.54 (step @p871 :rule cong :premises (@p870) :args ((forall @t11 (=> @t20 @t731)))) % 35.33/35.54 (step @p872 :rule trans :premises (@p871 @p869)) % 35.33/35.54 (step @p873 :rule bool-impl-elim :args (@t24 @t71)) % 35.33/35.54 (step @p874 :rule cong :premises (@p873) :args (@t72)) % 35.33/35.54 (step @p875 :rule cong :premises (@p256 @p874) :args (@t73)) % 35.33/35.54 (step @p876 :rule cong :premises (@p875) :args (@t74)) % 35.33/35.54 (step @p877 :rule trans :premises (@p876 @p872)) % 35.33/35.54 (step @p878 :rule eq_resolve :premises (@p26 @p877)) % 35.33/35.54 (step @p879 :rule instantiate :premises (@p878) :args ((@list @t319 @t318))) % 35.33/35.54 (step @p880 :rule true_intro :premises (@p858)) % 35.33/35.54 (step @p881 :rule cong :premises (@p790 @p748) :args (@t318)) % 35.33/35.54 (step @p882 :rule cong :premises (@p881) :args (@t732)) % 35.33/35.54 (step @p883 :rule trans :premises (@p882 @p880)) % 35.33/35.54 (step @p884 :rule true_elim :premises (@p883)) % 35.33/35.54 (step @p885 :rule bool-double-not-elim :args (@t613)) % 35.33/35.54 (step @p886 :rule nary_cong :premises (@p670 @p885) :args ((or @t620 (not @t614)))) % 35.33/35.54 (step @p887 :rule cnf_or_neg :args (@t620 4)) % 35.33/35.54 (step @p888 :rule eq_resolve :premises (@p887 @p886)) % 35.33/35.54 (step @p889 :rule reordering :premises (@p888) :args ((or @t613 @t620))) % 35.33/35.54 (step @p890 :rule chain_m_resolution :premises (@p889 @p668) :args (@t613 @t621 @t622)) % 35.33/35.54 (step @p891 :rule cnf_or_pos :args (@t735)) % 35.33/35.54 (step @p892 :rule reordering :premises (@p891) :args ((or @t614 @t734 @t733 (not @t735)))) % 35.33/35.54 (step @p893 :rule chain_m_resolution :premises (@p892 @p890 @p884 @p879) :args (@t733 @t677 (@list @t613 @t732 @t735))) % 35.33/35.54 (step @p894 :rule cnf_or_pos :args (@t739)) % 35.33/35.54 (step @p895 :rule reordering :premises (@p894) :args ((or @t612 @t738 @t737 @t736 (not @t739)))) % 35.33/35.54 (step @p896 :rule chain_m_resolution :premises (@p895 @p692 @p893 @p858 @p834) :args (@t736 @t659 (@list @t611 @t733 @t719 @t739))) % 35.33/35.54 (step @p897 :rule trans :premises (@p896 @p796)) % 35.33/35.54 (step @p898 :rule cnf_or_pos :args (@t743)) % 35.33/35.54 (step @p899 :rule reordering :premises (@p898) :args ((or @t657 @t619 @t614 @t612 @t742 @t744))) % 35.33/35.54 (step @p900 :rule chain_m_resolution :premises (@p899 @p17 @p742 @p890 @p692 @p897) :args (@t744 (@list false false false false false) (@list @t63 @t618 @t613 @t611 @t741))) % 35.33/35.54 (step @p901 :rule eq-symm :args (@t740 @t321)) % 35.33/35.54 (step @p902 :rule cong :premises (@p901) :args (@t745)) % 35.33/35.54 (step @p903 :rule refl :args (@t612)) % 35.33/35.54 (step @p904 :rule refl :args (@t657)) % 35.33/35.54 (step @p905 :rule refl :args (@t614)) % 35.33/35.54 (step @p906 :rule refl :args (@t619)) % 35.33/35.54 (step @p907 :rule nary_cong :premises (@p906 @p905 @p904 @p903 @p902) :args (@t746)) % 35.33/35.54 (step @p908 :rule refl :args (@t332)) % 35.33/35.54 (step @p909 :rule cong :premises (@p908 @p907) :args ((=> @t332 @t746))) % 35.33/35.54 (assume-push @p1007 @t332) % 35.33/35.54 (step @p911 :rule instantiate :premises (@p1007) :args ((@list @t317 @t319 tptp.nil @t314))) % 35.33/35.54 (step-pop @p1008 :rule scope :premises (@p911)) % 35.33/35.54 (step @p912 :rule process_scope :premises (@p1008) :args (@t746)) % 35.33/35.54 (step @p914 :rule eq_resolve :premises (@p912 @p909)) % 35.33/35.54 (step @p915 :rule implies_elim :premises (@p914)) % 35.33/35.54 (step @p916 :rule chain_m_resolution :premises (@p915 @p900) :args ((not @t332) @t621 (@list @t743))) % 35.33/35.54 (step @p917 :rule cnf_equiv_pos1 :args (@t333)) % 35.33/35.54 (step @p918 :rule reordering :premises (@p917) :args ((or @t332 @t747 (not @t333)))) % 35.33/35.54 (step @p919 :rule chain_m_resolution :premises (@p918 @p916 @p678) :args (@t747 @t679 (@list @t332 @t333))) % 35.33/35.54 (step @p920 :rule bool-double-not-elim :args (@t325)) % 35.33/35.54 (step @p921 :rule refl :args (@t598)) % 35.33/35.54 (step @p922 :rule refl :args (@t748)) % 35.33/35.54 (step @p923 :rule nary_cong :premises (@p922 @p921 @p920) :args ((or @t748 @t598 @t749))) % 35.33/35.54 (assume-push @p1009 @t101) % 35.33/35.54 (assume-push @p1010 @t597) % 35.33/35.54 (assume-push @p1011 @t747) % 35.33/35.54 (step @p927 :rule evaluate :args ((= false true))) % 35.33/35.54 (step @p928 :rule true_intro :premises (@p72)) % 35.33/35.54 (step @p929 :rule symm :premises (@p1010)) % 35.33/35.54 (step @p930 :rule cong :premises (@p929) :args (@t325)) % 35.33/35.54 (step @p931 :rule false_intro :premises (@p1011)) % 35.33/35.54 (step @p932 :rule symm :premises (@p931)) % 35.33/35.54 (step @p933 :rule trans :premises (@p932 @p930 @p928)) % 35.33/35.54 (step @p934 false :rule eq_resolve :premises (@p933 @p927)) % 35.33/35.54 (step-pop @p1012 :rule scope :premises (@p934)) % 35.33/35.54 (step-pop @p1013 :rule scope :premises (@p1012)) % 35.33/35.54 (step-pop @p1014 :rule scope :premises (@p1013)) % 35.33/35.54 (step @p935 :rule process_scope :premises (@p1014) :args (false)) % 35.33/35.54 (step @p939 :rule not_and :premises (@p935)) % 35.33/35.54 (step @p940 :rule eq_resolve :premises (@p939 @p923)) % 35.33/35.54 (step @p941 :rule chain_m_resolution :premises (@p940 @p72 @p919) :args (@t598 (@list false true) (@list @t101 @t325))) % 35.33/35.54 (step @p942 :rule bool-double-not-elim :args (@t597)) % 35.33/35.54 (step @p943 :rule refl :args (@t600)) % 35.33/35.54 (step @p944 :rule nary_cong :premises (@p943 @p942) :args ((or @t600 (not @t598)))) % 35.33/35.54 (step @p945 :rule cnf_or_neg :args (@t600 1)) % 35.33/35.54 (step @p946 :rule eq_resolve :premises (@p945 @p944)) % 35.33/35.54 (step @p947 :rule reordering :premises (@p946) :args ((or @t597 @t600))) % 35.33/35.54 (step @p948 :rule chain_m_resolution :premises (@p947 @p941) :args (@t600 @t621 (@list @t597))) % 35.33/35.54 (step @p949 :rule cnf_or_neg :args (@t620 7)) % 35.33/35.54 (step @p950 :rule chain_m_resolution :premises (@p949 @p668) :args ((not @t610) @t621 @t622)) % 35.33/35.54 (step @p951 :rule cnf_and_neg :args (@t610)) % 35.33/35.54 (step @p952 :rule chain_m_resolution :premises (@p951 @p950 @p948) :args ((not @t609) @t679 (@list @t610 @t600))) % 35.33/35.54 (step @p953 :rule bool-double-not-elim :args (@t605)) % 35.33/35.54 (step @p954 :rule refl :args (@t609)) % 35.33/35.54 (step @p955 :rule nary_cong :premises (@p954 @p953) :args ((or @t609 (not @t606)))) % 35.33/35.54 (step @p956 :rule cnf_or_neg :args (@t609 1)) % 35.33/35.54 (step @p957 :rule eq_resolve :premises (@p956 @p955)) % 35.33/35.54 (step @p958 :rule reordering :premises (@p957) :args ((or @t605 @t609))) % 35.33/35.54 (step @p959 :rule chain_m_resolution :premises (@p958 @p952) :args (@t605 @t621 @t750)) % 35.33/35.54 (step @p960 :rule bool-impl-elim :args (@t9 @t99)) % 35.33/35.54 (step @p961 :rule cong :premises (@p960) :args (@t100)) % 35.33/35.54 (step @p962 :rule eq_resolve :premises (@p71 @p961)) % 35.33/35.54 (step @p963 :rule instantiate :premises (@p962) :args ((@list @t601))) % 35.33/35.54 (step @p964 :rule bool-double-not-elim :args (@t607)) % 35.33/35.54 (step @p965 :rule nary_cong :premises (@p954 @p964) :args ((or @t609 (not @t608)))) % 35.33/35.54 (step @p966 :rule cnf_or_neg :args (@t609 0)) % 35.33/35.54 (step @p967 :rule eq_resolve :premises (@p966 @p965)) % 35.33/35.54 (step @p968 :rule reordering :premises (@p967) :args ((or @t607 @t609))) % 35.33/35.54 (step @p969 :rule chain_m_resolution :premises (@p968 @p952) :args (@t607 @t621 @t750)) % 35.33/35.54 (step @p970 :rule cnf_or_pos :args (@t752)) % 35.33/35.54 (step @p971 :rule reordering :premises (@p970) :args ((or @t608 @t751 (not @t752)))) % 35.33/35.54 (step @p972 :rule chain_m_resolution :premises (@p971 @p969 @p963) :args (@t751 @t623 (@list @t607 @t752))) % 35.33/35.54 (step @p973 :rule refl :args (@t753)) % 35.33/35.54 (step @p974 :rule refl :args (@t606)) % 35.33/35.54 (step @p975 :rule nary_cong :premises (@p974 @p973 @p920) :args ((or @t606 @t753 @t749))) % 35.33/35.54 (assume-push @p1015 @t747) % 35.33/35.54 (assume-push @p1016 @t605) % 35.33/35.54 (assume-push @p1017 @t751) % 35.33/35.54 (step @p979 :rule evaluate :args ((= true false))) % 35.33/35.54 (step @p980 :rule false_intro :premises (@p1015)) % 35.33/35.54 (step @p981 :rule symm :premises (@p1016)) % 35.33/35.54 (step @p982 :rule cong :premises (@p981) :args (@t751)) % 35.33/35.54 (step @p983 :rule true_intro :premises (@p1017)) % 35.33/35.54 (step @p984 :rule symm :premises (@p983)) % 35.33/35.54 (step @p985 :rule trans :premises (@p984 @p982 @p980)) % 35.33/35.54 (step @p986 false :rule eq_resolve :premises (@p985 @p979)) % 35.33/35.54 (step-pop @p1018 :rule scope :premises (@p986)) % 35.33/35.54 (step-pop @p1019 :rule scope :premises (@p1018)) % 35.33/35.54 (step-pop @p1020 :rule scope :premises (@p1019)) % 35.33/35.54 (step @p987 :rule process_scope :premises (@p1020) :args (false)) % 35.33/35.54 (assume-push @p1021 @t605) % 35.33/35.54 (assume-push @p1022 @t751) % 35.33/35.54 (assume-push @p1023 @t747) % 35.33/35.54 (step @p994 :rule and_intro :premises (@p1023 @p1021 @p1022)) % 35.33/35.54 (step-pop @p1024 :rule scope :premises (@p994)) % 35.33/35.54 (step-pop @p1025 :rule scope :premises (@p1024)) % 35.33/35.54 (step-pop @p1026 :rule scope :premises (@p1025)) % 35.33/35.54 (step @p995 :rule process_scope :premises (@p1026) :args (@t754)) % 35.33/35.54 (step @p999 :rule implies_elim :premises (@p995)) % 35.33/35.54 (step @p1000 :rule resolution :premises (@p999 @p987) :args (true @t754)) % 35.33/35.54 (step @p1001 :rule not_and :premises (@p1000)) % 35.33/35.54 (step @p1002 :rule eq_resolve :premises (@p1001 @p975)) % 35.33/35.54 (step @p1003 :rule reordering :premises (@p1002) :args ((or @t606 @t325 @t753))) % 35.33/35.54 (step @p1004 false :rule chain_m_resolution :premises (@p1003 @p972 @p959 @p919) :args (false (@list false false true) (@list @t751 @t605 @t325))) % 35.33/35.54 ) % 35.33/35.54 % SZS output end Proof % 35.33/35.54 % cvc5 exiting %------------------------------------------------------------------------------