%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC161+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 : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:17 AM UTC 2026 % Result : Theorem 234.06s 234.31s % Output : Proof 234.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC161+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 % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:18:38 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 234.06/234.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 234.06/234.31 --- Run --no-e-matching --full-saturate-quant at 6... % 234.06/234.31 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 234.06/234.31 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 234.06/234.31 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 234.06/234.31 --- Run --trigger-sel=max --full-saturate-quant at 15... % 234.06/234.31 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 234.06/234.31 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 234.06/234.31 --- Run --prenex-quant=none --full-saturate-quant at 30... % 234.06/234.31 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 234.06/234.31 --- Run --relevant-triggers --full-saturate-quant at 30... % 234.06/234.31 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 234.06/234.31 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 234.06/234.31 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 234.06/234.31 % SZS status Theorem % 234.06/234.31 % SZS output start Proof % 234.06/234.31 ( % 234.06/234.31 (declare-sort $$unsorted 0) % 234.06/234.31 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 234.06/234.31 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 234.06/234.31 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 234.06/234.31 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 234.06/234.31 (declare-const tptp.nil $$unsorted) % 234.06/234.31 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.ssList (-> $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 234.06/234.31 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 234.06/234.31 (define @t1 () (@var "V" $$unsorted)) % 234.06/234.31 (define @t2 () (@var "U" $$unsorted)) % 234.06/234.31 (define @t3 () (= @t2 @t1)) % 234.06/234.31 (define @t4 () (not @t3)) % 234.06/234.31 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 234.06/234.31 (define @t6 () (tptp.ssItem @t1)) % 234.06/234.31 (define @t7 () (@list @t1)) % 234.06/234.31 (define @t8 () (tptp.ssItem @t2)) % 234.06/234.31 (define @t9 () (@list @t2)) % 234.06/234.31 (define @t10 () (@var "X" $$unsorted)) % 234.06/234.31 (define @t11 () (tptp.cons @t1 @t10)) % 234.06/234.31 (define @t12 () (@var "W" $$unsorted)) % 234.06/234.31 (define @t13 () (tptp.ssList @t10)) % 234.06/234.31 (define @t14 () (@list @t10)) % 234.06/234.31 (define @t15 () (tptp.ssList @t12)) % 234.06/234.31 (define @t16 () (@list @t12)) % 234.06/234.31 (define @t17 () (tptp.ssList @t2)) % 234.06/234.31 (define @t18 () (tptp.cons @t1 tptp.nil)) % 234.06/234.31 (define @t19 () (tptp.app @t1 @t12)) % 234.06/234.31 (define @t20 () (tptp.frontsegP @t2 @t1)) % 234.06/234.31 (define @t21 () (tptp.ssList @t1)) % 234.06/234.31 (define @t22 () (tptp.app @t12 @t1)) % 234.06/234.31 (define @t23 () (tptp.rearsegP @t2 @t1)) % 234.06/234.31 (define @t24 () (tptp.segmentP @t2 @t1)) % 234.06/234.31 (define @t25 () (tptp.leq @t12 @t1)) % 234.06/234.31 (define @t26 () (tptp.leq @t1 @t12)) % 234.06/234.31 (define @t27 () (@var "Z" $$unsorted)) % 234.06/234.31 (define @t28 () (@var "Y" $$unsorted)) % 234.06/234.31 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 234.06/234.31 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 234.06/234.31 (define @t31 () (= @t30 @t2)) % 234.06/234.31 (define @t32 () (tptp.ssList @t27)) % 234.06/234.31 (define @t33 () (@list @t27)) % 234.06/234.31 (define @t34 () (tptp.ssList @t28)) % 234.06/234.31 (define @t35 () (@list @t28)) % 234.06/234.31 (define @t36 () (tptp.ssItem @t12)) % 234.06/234.31 (define @t37 () (tptp.lt @t1 @t12)) % 234.06/234.31 (define @t38 () (=> @t31 @t37)) % 234.06/234.31 (define @t39 () (=> @t32 @t38)) % 234.06/234.31 (define @t40 () (forall @t33 @t39)) % 234.06/234.31 (define @t41 () (=> @t34 @t40)) % 234.06/234.31 (define @t42 () (forall @t35 @t41)) % 234.06/234.31 (define @t43 () (=> @t13 @t42)) % 234.06/234.31 (define @t44 () (forall @t14 @t43)) % 234.06/234.31 (define @t45 () (=> @t36 @t44)) % 234.06/234.31 (define @t46 () (forall @t16 @t45)) % 234.06/234.31 (define @t47 () (=> @t6 @t46)) % 234.06/234.31 (define @t48 () (forall @t7 @t47)) % 234.06/234.31 (define @t49 () (tptp.strictorderedP @t2)) % 234.06/234.31 (define @t50 () (= @t49 @t48)) % 234.06/234.31 (define @t51 () (=> @t17 @t50)) % 234.06/234.31 (define @t52 () (forall @t9 @t51)) % 234.06/234.31 (define @t53 () (= @t1 @t12)) % 234.06/234.31 (define @t54 () (tptp.cons @t1 @t2)) % 234.06/234.31 (define @t55 () (tptp.ssList @t54)) % 234.06/234.31 (define @t56 () (forall @t7 (=> @t6 @t55))) % 234.06/234.31 (define @t57 () (=> @t17 @t56)) % 234.06/234.31 (define @t58 () (forall @t9 @t57)) % 234.06/234.31 (define @t59 () (tptp.ssList tptp.nil)) % 234.06/234.31 (define @t60 () (= @t1 @t2)) % 234.06/234.31 (define @t61 () (tptp.cons @t12 @t1)) % 234.06/234.31 (define @t62 () (= tptp.nil @t2)) % 234.06/234.31 (define @t63 () (tptp.hd @t2)) % 234.06/234.31 (define @t64 () (not @t62)) % 234.06/234.31 (define @t65 () (tptp.tl @t2)) % 234.06/234.31 (define @t66 () (tptp.app @t2 @t1)) % 234.06/234.31 (define @t67 () (tptp.ssList @t66)) % 234.06/234.31 (define @t68 () (forall @t7 (=> @t21 @t67))) % 234.06/234.31 (define @t69 () (=> @t17 @t68)) % 234.06/234.31 (define @t70 () (forall @t9 @t69)) % 234.06/234.31 (define @t71 () (tptp.app @t1 @t2)) % 234.06/234.31 (define @t72 () (= (tptp.cons @t12 @t71) (tptp.app @t61 @t2))) % 234.06/234.31 (define @t73 () (forall @t16 (=> @t36 @t72))) % 234.06/234.31 (define @t74 () (=> @t21 @t73)) % 234.06/234.31 (define @t75 () (forall @t7 @t74)) % 234.06/234.31 (define @t76 () (=> @t17 @t75)) % 234.06/234.31 (define @t77 () (forall @t9 @t76)) % 234.06/234.31 (define @t78 () (tptp.app tptp.nil @t2)) % 234.06/234.31 (define @t79 () (=> @t17 (= @t78 @t2))) % 234.06/234.31 (define @t80 () (forall @t9 @t79)) % 234.06/234.31 (define @t81 () (tptp.leq @t1 @t2)) % 234.06/234.31 (define @t82 () (tptp.leq @t2 @t1)) % 234.06/234.31 (define @t83 () (tptp.geq @t2 @t1)) % 234.06/234.31 (define @t84 () (tptp.lt @t1 @t2)) % 234.06/234.31 (define @t85 () (not @t84)) % 234.06/234.31 (define @t86 () (tptp.lt @t2 @t1)) % 234.06/234.31 (define @t87 () (=> @t86 @t85)) % 234.06/234.31 (define @t88 () (forall @t7 (=> @t6 @t87))) % 234.06/234.31 (define @t89 () (=> @t8 @t88)) % 234.06/234.31 (define @t90 () (forall @t9 @t89)) % 234.06/234.31 (define @t91 () (tptp.lt @t2 @t12)) % 234.06/234.31 (define @t92 () (tptp.gt @t2 @t1)) % 234.06/234.31 (define @t93 () (tptp.memberP @t12 @t2)) % 234.06/234.31 (define @t94 () (tptp.app @t12 @t2)) % 234.06/234.31 (define @t95 () (tptp.cons @t2 tptp.nil)) % 234.06/234.31 (define @t96 () (tptp.hd @t1)) % 234.06/234.31 (define @t97 () (= tptp.nil @t1)) % 234.06/234.31 (define @t98 () (not @t97)) % 234.06/234.31 (define @t99 () (tptp.cons @t2 @t1)) % 234.06/234.31 (define @t100 () (= @t12 @t2)) % 234.06/234.31 (define @t101 () (= (tptp.app @t66 @t12) (tptp.app @t2 @t19))) % 234.06/234.31 (define @t102 () (forall @t16 (=> @t15 @t101))) % 234.06/234.31 (define @t103 () (=> @t21 @t102)) % 234.06/234.31 (define @t104 () (forall @t7 @t103)) % 234.06/234.31 (define @t105 () (=> @t17 @t104)) % 234.06/234.31 (define @t106 () (forall @t9 @t105)) % 234.06/234.31 (define @t107 () (or @t3 @t86)) % 234.06/234.31 (define @t108 () (=> @t82 @t107)) % 234.06/234.31 (define @t109 () (forall @t7 (=> @t6 @t108))) % 234.06/234.31 (define @t110 () (=> @t8 @t109)) % 234.06/234.31 (define @t111 () (forall @t9 @t110)) % 234.06/234.31 (define @t112 () (= @t86 (and @t4 @t82))) % 234.06/234.31 (define @t113 () (forall @t7 (=> @t6 @t112))) % 234.06/234.31 (define @t114 () (=> @t8 @t113)) % 234.06/234.31 (define @t115 () (forall @t9 @t114)) % 234.06/234.31 (define @t116 () (not (= tptp.nil @t10))) % 234.06/234.31 (define @t117 () (and @t116 (= tptp.nil @t12))) % 234.06/234.31 (define @t118 () (@var "X10" $$unsorted)) % 234.06/234.31 (define @t119 () (@var "X9" $$unsorted)) % 234.06/234.31 (define @t120 () (tptp.leq @t119 @t118)) % 234.06/234.31 (define @t121 () (@var "X14" $$unsorted)) % 234.06/234.31 (define @t122 () (@var "X12" $$unsorted)) % 234.06/234.31 (define @t123 () (and (forall (@list @t121) (or (not (tptp.ssItem @t121)) (not (tptp.memberP @t122 @t121)) (and (tptp.leq @t119 @t121) (tptp.leq @t121 @t118)))) @t120)) % 234.06/234.31 (define @t124 () (not (tptp.leq @t118 @t119))) % 234.06/234.31 (define @t125 () (@var "X13" $$unsorted)) % 234.06/234.31 (define @t126 () (tptp.cons @t118 tptp.nil)) % 234.06/234.31 (define @t127 () (tptp.cons @t119 tptp.nil)) % 234.06/234.31 (define @t128 () (@var "X11" $$unsorted)) % 234.06/234.31 (define @t129 () (tptp.app @t128 @t127)) % 234.06/234.31 (define @t130 () (tptp.app (tptp.app @t129 @t122) @t126)) % 234.06/234.31 (define @t131 () (tptp.app @t130 @t125)) % 234.06/234.31 (define @t132 () (not (= @t131 @t2))) % 234.06/234.31 (define @t133 () (not (tptp.ssList @t125))) % 234.06/234.31 (define @t134 () (or @t133 @t132 @t124 @t123)) % 234.06/234.31 (define @t135 () (@list @t125)) % 234.06/234.31 (define @t136 () (forall @t135 @t134)) % 234.06/234.31 (define @t137 () (tptp.ssList @t122)) % 234.06/234.31 (define @t138 () (=> @t137 @t136)) % 234.06/234.31 (define @t139 () (@list @t122)) % 234.06/234.31 (define @t140 () (forall @t139 @t138)) % 234.06/234.31 (define @t141 () (tptp.ssList @t128)) % 234.06/234.31 (define @t142 () (=> @t141 @t140)) % 234.06/234.31 (define @t143 () (@list @t128)) % 234.06/234.31 (define @t144 () (forall @t143 @t142)) % 234.06/234.31 (define @t145 () (tptp.ssItem @t118)) % 234.06/234.31 (define @t146 () (=> @t145 @t144)) % 234.06/234.31 (define @t147 () (@list @t118)) % 234.06/234.31 (define @t148 () (forall @t147 @t146)) % 234.06/234.31 (define @t149 () (tptp.ssItem @t119)) % 234.06/234.31 (define @t150 () (=> @t149 @t148)) % 234.06/234.31 (define @t151 () (@list @t119)) % 234.06/234.31 (define @t152 () (forall @t151 @t150)) % 234.06/234.31 (define @t153 () (@var "X5" $$unsorted)) % 234.06/234.31 (define @t154 () (@var "X7" $$unsorted)) % 234.06/234.31 (define @t155 () (tptp.lt @t154 @t153)) % 234.06/234.31 (define @t156 () (tptp.cons @t154 tptp.nil)) % 234.06/234.31 (define @t157 () (@var "X8" $$unsorted)) % 234.06/234.31 (define @t158 () (tptp.app @t157 @t156)) % 234.06/234.31 (define @t159 () (tptp.ssList @t157)) % 234.06/234.31 (define @t160 () (and @t159 (= @t158 @t12) @t155)) % 234.06/234.31 (define @t161 () (@list @t157)) % 234.06/234.31 (define @t162 () (exists @t161 @t160)) % 234.06/234.31 (define @t163 () (tptp.ssItem @t154)) % 234.06/234.31 (define @t164 () (and @t163 @t162)) % 234.06/234.31 (define @t165 () (@list @t154)) % 234.06/234.31 (define @t166 () (exists @t165 @t164)) % 234.06/234.31 (define @t167 () (@var "X6" $$unsorted)) % 234.06/234.31 (define @t168 () (tptp.cons @t153 tptp.nil)) % 234.06/234.31 (define @t169 () (tptp.app @t168 @t167)) % 234.06/234.31 (define @t170 () (tptp.ssList @t167)) % 234.06/234.31 (define @t171 () (and @t170 (= @t169 @t27) @t166)) % 234.06/234.31 (define @t172 () (@list @t167)) % 234.06/234.31 (define @t173 () (exists @t172 @t171)) % 234.06/234.31 (define @t174 () (tptp.ssItem @t153)) % 234.06/234.31 (define @t175 () (and @t174 @t173)) % 234.06/234.31 (define @t176 () (@list @t153)) % 234.06/234.31 (define @t177 () (exists @t176 @t175)) % 234.06/234.31 (define @t178 () (@var "X3" $$unsorted)) % 234.06/234.31 (define @t179 () (@var "X1" $$unsorted)) % 234.06/234.31 (define @t180 () (tptp.lt @t179 @t178)) % 234.06/234.31 (define @t181 () (@var "X4" $$unsorted)) % 234.06/234.31 (define @t182 () (tptp.cons @t178 tptp.nil)) % 234.06/234.31 (define @t183 () (tptp.app @t182 @t181)) % 234.06/234.31 (define @t184 () (tptp.ssList @t181)) % 234.06/234.31 (define @t185 () (and @t184 (= @t183 @t12) @t180)) % 234.06/234.31 (define @t186 () (@list @t181)) % 234.06/234.31 (define @t187 () (exists @t186 @t185)) % 234.06/234.31 (define @t188 () (tptp.ssItem @t178)) % 234.06/234.31 (define @t189 () (and @t188 @t187)) % 234.06/234.31 (define @t190 () (@list @t178)) % 234.06/234.31 (define @t191 () (exists @t190 @t189)) % 234.06/234.31 (define @t192 () (tptp.cons @t179 tptp.nil)) % 234.06/234.31 (define @t193 () (@var "X2" $$unsorted)) % 234.06/234.31 (define @t194 () (tptp.app @t193 @t192)) % 234.06/234.31 (define @t195 () (tptp.ssList @t193)) % 234.06/234.31 (define @t196 () (and @t195 (= @t194 @t28) @t191)) % 234.06/234.31 (define @t197 () (@list @t193)) % 234.06/234.31 (define @t198 () (exists @t197 @t196)) % 234.06/234.31 (define @t199 () (tptp.ssItem @t179)) % 234.06/234.31 (define @t200 () (and @t199 @t198)) % 234.06/234.31 (define @t201 () (@list @t179)) % 234.06/234.31 (define @t202 () (exists @t201 @t200)) % 234.06/234.31 (define @t203 () (not (tptp.strictorderedP @t12))) % 234.06/234.31 (define @t204 () (tptp.app @t28 @t12)) % 234.06/234.31 (define @t205 () (tptp.app @t204 @t27)) % 234.06/234.31 (define @t206 () (not (= @t205 @t10))) % 234.06/234.31 (define @t207 () (not @t32)) % 234.06/234.31 (define @t208 () (or @t207 @t206 @t203 @t202 @t177)) % 234.06/234.31 (define @t209 () (forall @t33 @t208)) % 234.06/234.31 (define @t210 () (=> @t34 @t209)) % 234.06/234.31 (define @t211 () (forall @t35 @t210)) % 234.06/234.31 (define @t212 () (not (= @t2 @t12))) % 234.06/234.31 (define @t213 () (not (= @t1 @t10))) % 234.06/234.31 (define @t214 () (not @t13)) % 234.06/234.31 (define @t215 () (or @t214 @t213 @t212 @t211 @t152 @t117)) % 234.06/234.31 (define @t216 () (forall @t14 @t215)) % 234.06/234.31 (define @t217 () (=> @t15 @t216)) % 234.06/234.31 (define @t218 () (forall @t16 @t217)) % 234.06/234.31 (define @t219 () (=> @t21 @t218)) % 234.06/234.31 (define @t220 () (forall @t7 @t219)) % 234.06/234.31 (define @t221 () (=> @t17 @t220)) % 234.06/234.31 (define @t222 () (forall @t9 @t221)) % 234.06/234.31 (define @t223 () (not @t222)) % 234.06/234.31 (define @t224 () (@var "BOUND_VARIABLE_10936" $$unsorted)) % 234.06/234.31 (define @t225 () (= (tptp.lt @t2 @t224) (and (not (= @t2 @t224)) (tptp.leq @t2 @t224)))) % 234.06/234.31 (define @t226 () (not (tptp.ssItem @t224))) % 234.06/234.31 (define @t227 () (not @t8)) % 234.06/234.31 (define @t228 () (or @t226 @t225)) % 234.06/234.31 (define @t229 () (or @t227 @t228)) % 234.06/234.31 (define @t230 () (forall (@list @t2 @t224) @t229)) % 234.06/234.31 (define @t231 () (@list @t224)) % 234.06/234.31 (define @t232 () (forall @t231 @t229)) % 234.06/234.31 (define @t233 () (forall @t231 @t228)) % 234.06/234.31 (define @t234 () (@list @t1)) % 234.06/234.31 (define @t235 () (or @t227 @t233)) % 234.06/234.31 (define @t236 () (not @t6)) % 234.06/234.31 (define @t237 () (forall @t7 (or @t236 @t112))) % 234.06/234.31 (define @t238 () (@var "BOUND_VARIABLE_11631" $$unsorted)) % 234.06/234.31 (define @t239 () (@var "BOUND_VARIABLE_11190" $$unsorted)) % 234.06/234.31 (define @t240 () (tptp.app @t168 @t239)) % 234.06/234.31 (define @t241 () (not (= @t240 @t238))) % 234.06/234.31 (define @t242 () (not (tptp.ssList @t239))) % 234.06/234.31 (define @t243 () (@var "BOUND_VARIABLE_11596" $$unsorted)) % 234.06/234.31 (define @t244 () (@var "BOUND_VARIABLE_11588" $$unsorted)) % 234.06/234.31 (define @t245 () (@var "BOUND_VARIABLE_11592" $$unsorted)) % 234.06/234.31 (define @t246 () (@var "BOUND_VARIABLE_11586" $$unsorted)) % 234.06/234.31 (define @t247 () (@var "BOUND_VARIABLE_11590" $$unsorted)) % 234.06/234.31 (define @t248 () (tptp.app (tptp.app (tptp.app (tptp.app @t247 (tptp.cons @t246 tptp.nil)) @t245) (tptp.cons @t244 tptp.nil)) @t243)) % 234.06/234.31 (define @t249 () (@var "BOUND_VARIABLE_11175" $$unsorted)) % 234.06/234.31 (define @t250 () (@var "BOUND_VARIABLE_11177" $$unsorted)) % 234.06/234.31 (define @t251 () (tptp.app @t250 (tptp.cons @t249 tptp.nil))) % 234.06/234.31 (define @t252 () (not (tptp.ssList @t250))) % 234.06/234.31 (define @t253 () (not (tptp.lt @t249 @t153))) % 234.06/234.31 (define @t254 () (not (tptp.ssItem @t249))) % 234.06/234.31 (define @t255 () (not @t174)) % 234.06/234.31 (define @t256 () (@list @t153 @t249 @t250 @t239)) % 234.06/234.31 (define @t257 () (not (forall @t256 (or @t255 @t254 @t253 @t252 (not (= @t251 @t248)) @t242 @t241)))) % 234.06/234.31 (define @t258 () (not (tptp.ssList @t238))) % 234.06/234.31 (define @t259 () (@var "BOUND_VARIABLE_11629" $$unsorted)) % 234.06/234.31 (define @t260 () (@var "BOUND_VARIABLE_11102" $$unsorted)) % 234.06/234.31 (define @t261 () (tptp.app @t260 @t192)) % 234.06/234.31 (define @t262 () (not (= @t261 @t259))) % 234.06/234.31 (define @t263 () (not (tptp.ssList @t260))) % 234.06/234.31 (define @t264 () (@var "BOUND_VARIABLE_11089" $$unsorted)) % 234.06/234.31 (define @t265 () (@var "BOUND_VARIABLE_11087" $$unsorted)) % 234.06/234.31 (define @t266 () (tptp.app (tptp.cons @t265 tptp.nil) @t264)) % 234.06/234.31 (define @t267 () (not (tptp.ssList @t264))) % 234.06/234.31 (define @t268 () (not (tptp.lt @t179 @t265))) % 234.06/234.31 (define @t269 () (not (tptp.ssItem @t265))) % 234.06/234.31 (define @t270 () (not @t199)) % 234.06/234.31 (define @t271 () (@list @t179 @t265 @t264 @t260)) % 234.06/234.31 (define @t272 () (not (forall @t271 (or @t270 @t269 @t268 @t267 (not (= @t266 @t248)) @t263 @t262)))) % 234.06/234.31 (define @t273 () (not (tptp.ssList @t259))) % 234.06/234.31 (define @t274 () (tptp.app (tptp.app @t259 @t248) @t238)) % 234.06/234.31 (define @t275 () (not (= tptp.nil @t274))) % 234.06/234.31 (define @t276 () (and @t275 (= tptp.nil @t248))) % 234.06/234.31 (define @t277 () (not (tptp.ssList @t274))) % 234.06/234.31 (define @t278 () (not (tptp.ssList @t243))) % 234.06/234.31 (define @t279 () (@var "BOUND_VARIABLE_11594" $$unsorted)) % 234.06/234.31 (define @t280 () (and (or (not (tptp.ssItem @t279)) (not (tptp.memberP @t245 @t279)) (and (tptp.leq @t246 @t279) (tptp.leq @t279 @t244))) (tptp.leq @t246 @t244))) % 234.06/234.31 (define @t281 () (not (tptp.ssList @t245))) % 234.06/234.31 (define @t282 () (not (tptp.ssList @t247))) % 234.06/234.31 (define @t283 () (not (tptp.leq @t244 @t246))) % 234.06/234.31 (define @t284 () (not (tptp.ssItem @t244))) % 234.06/234.31 (define @t285 () (not (tptp.ssItem @t246))) % 234.06/234.31 (define @t286 () (not (tptp.strictorderedP @t248))) % 234.06/234.31 (define @t287 () (not (tptp.ssList @t248))) % 234.06/234.31 (define @t288 () (or @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t278 @t277 @t276 @t273 @t272 @t258 @t257)) % 234.06/234.31 (define @t289 () (@list @t246 @t244 @t247 @t245 @t279 @t243 @t259 @t238)) % 234.06/234.31 (define @t290 () (forall @t289 @t288)) % 234.06/234.31 (define @t291 () (@quantifiers_skolemize @t290 1)) % 234.06/234.31 (define @t292 () (@quantifiers_skolemize @t290 0)) % 234.06/234.31 (define @t293 () (not (= @t248 @t251))) % 234.06/234.31 (define @t294 () (or @t255 @t254 @t253 @t252 @t293 @t242 @t241)) % 234.06/234.31 (define @t295 () (forall @t256 @t294)) % 234.06/234.31 (define @t296 () (not @t295)) % 234.06/234.31 (define @t297 () (not (= @t248 @t266))) % 234.06/234.31 (define @t298 () (or @t270 @t269 @t268 @t267 @t297 @t263 @t262)) % 234.06/234.31 (define @t299 () (forall @t271 @t298)) % 234.06/234.31 (define @t300 () (not @t299)) % 234.06/234.31 (define @t301 () (and @t275 (= @t248 tptp.nil))) % 234.06/234.31 (define @t302 () (not (= @t248 @t248))) % 234.06/234.31 (define @t303 () (or @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t278 @t302 @t277 @t301 @t273 @t300 @t258 @t296)) % 234.06/234.31 (define @t304 () (not (= @t2 @t251))) % 234.06/234.31 (define @t305 () (not (forall @t256 (or @t255 @t254 @t253 @t252 @t304 @t242 @t241)))) % 234.06/234.31 (define @t306 () (not (= @t2 @t266))) % 234.06/234.31 (define @t307 () (not (forall @t271 (or @t270 @t269 @t268 @t267 @t306 @t263 @t262)))) % 234.06/234.31 (define @t308 () (= @t2 tptp.nil)) % 234.06/234.31 (define @t309 () (tptp.app (tptp.app @t259 @t2) @t238)) % 234.06/234.31 (define @t310 () (and (not (= tptp.nil @t309)) @t308)) % 234.06/234.31 (define @t311 () (not (tptp.ssList @t309))) % 234.06/234.31 (define @t312 () (not (= @t2 @t248))) % 234.06/234.31 (define @t313 () (not @t49)) % 234.06/234.31 (define @t314 () (not @t17)) % 234.06/234.31 (define @t315 () (or @t312 @t314 @t313 @t285 @t284 @t283 @t282 @t281 @t280 @t278 @t312 @t311 @t310 @t273 @t307 @t258 @t305)) % 234.06/234.31 (define @t316 () (or @t314 @t313 @t285 @t284 @t283 @t282 @t281 @t280 @t278 @t312 @t311 @t310 @t273 @t307 @t258 @t305)) % 234.06/234.31 (define @t317 () (forall @t9 @t316)) % 234.06/234.31 (define @t318 () (forall @t289 @t317)) % 234.06/234.31 (define @t319 () (forall (@list @t246 @t244 @t247 @t245 @t279 @t243 @t259 @t238 @t2) @t316)) % 234.06/234.31 (define @t320 () (@list @t2 @t246 @t244 @t247 @t245 @t279 @t243 @t259 @t238)) % 234.06/234.31 (define @t321 () (or @t311 @t310 @t273 @t307 @t258 @t305)) % 234.06/234.31 (define @t322 () (or @t285 @t284 @t283 @t282 @t281 @t280 @t278 @t312)) % 234.06/234.31 (define @t323 () (or @t314 @t322 @t313 @t321)) % 234.06/234.31 (define @t324 () (forall @t320 @t323)) % 234.06/234.31 (define @t325 () (forall @t289 @t323)) % 234.06/234.31 (define @t326 () (forall (@list @t259 @t238) @t321)) % 234.06/234.31 (define @t327 () (@var "BOUND_VARIABLE_11539" $$unsorted)) % 234.06/234.31 (define @t328 () (@var "BOUND_VARIABLE_11537" $$unsorted)) % 234.06/234.31 (define @t329 () (@list @t328 @t327)) % 234.06/234.31 (define @t330 () (forall (@list @t246 @t244 @t247 @t245 @t279 @t243) @t322)) % 234.06/234.31 (define @t331 () (@var "BOUND_VARIABLE_11373" $$unsorted)) % 234.06/234.31 (define @t332 () (@var "BOUND_VARIABLE_11371" $$unsorted)) % 234.06/234.31 (define @t333 () (@var "BOUND_VARIABLE_11369" $$unsorted)) % 234.06/234.31 (define @t334 () (@var "BOUND_VARIABLE_11367" $$unsorted)) % 234.06/234.31 (define @t335 () (@var "BOUND_VARIABLE_11365" $$unsorted)) % 234.06/234.31 (define @t336 () (or @t314 @t330 @t313 @t326)) % 234.06/234.31 (define @t337 () (not (forall @t256 (or @t255 @t254 @t253 @t252 @t304 @t242 (not (= @t240 @t327)))))) % 234.06/234.31 (define @t338 () (not (tptp.ssList @t327))) % 234.06/234.31 (define @t339 () (not (forall @t271 (or @t270 @t269 @t268 @t267 @t306 @t263 (not (= @t261 @t328)))))) % 234.06/234.31 (define @t340 () (not (tptp.ssList @t328))) % 234.06/234.31 (define @t341 () (tptp.app (tptp.app @t328 @t2) @t327)) % 234.06/234.31 (define @t342 () (and (not (= tptp.nil @t341)) @t308)) % 234.06/234.31 (define @t343 () (not (tptp.ssList @t341))) % 234.06/234.31 (define @t344 () (or @t343 @t342 @t340 @t339 @t338 @t337)) % 234.06/234.31 (define @t345 () (@list @t328 @t327)) % 234.06/234.31 (define @t346 () (forall @t345 @t344)) % 234.06/234.31 (define @t347 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t334 @t127) @t333) (tptp.cons @t335 tptp.nil)) @t331)))) % 234.06/234.31 (define @t348 () (not (tptp.ssList @t331))) % 234.06/234.31 (define @t349 () (and (or (not (tptp.ssItem @t332)) (not (tptp.memberP @t333 @t332)) (and (tptp.leq @t119 @t332) (tptp.leq @t332 @t335))) (tptp.leq @t119 @t335))) % 234.06/234.31 (define @t350 () (not (tptp.ssList @t333))) % 234.06/234.31 (define @t351 () (not (tptp.ssList @t334))) % 234.06/234.31 (define @t352 () (not (tptp.leq @t335 @t119))) % 234.06/234.31 (define @t353 () (not (tptp.ssItem @t335))) % 234.06/234.31 (define @t354 () (not @t149)) % 234.06/234.31 (define @t355 () (or @t354 @t353 @t352 @t351 @t350 @t349 @t348 @t347)) % 234.06/234.31 (define @t356 () (@list @t119 @t335 @t334 @t333 @t332 @t331)) % 234.06/234.31 (define @t357 () (forall @t356 @t355)) % 234.06/234.31 (define @t358 () (or @t314 @t357 @t313 @t346)) % 234.06/234.31 (define @t359 () (or @t357 @t314 @t313 @t346)) % 234.06/234.31 (define @t360 () (not (= @t341 @t341))) % 234.06/234.31 (define @t361 () (not (= @t341 tptp.nil))) % 234.06/234.31 (define @t362 () (and @t361 @t308)) % 234.06/234.31 (define @t363 () (or @t343 @t362 @t340 @t339 @t338 @t360 @t337)) % 234.06/234.31 (define @t364 () (not (= @t1 @t341))) % 234.06/234.31 (define @t365 () (not (= @t1 tptp.nil))) % 234.06/234.31 (define @t366 () (and @t365 @t308)) % 234.06/234.31 (define @t367 () (not @t21)) % 234.06/234.31 (define @t368 () (or @t364 @t367 @t366 @t340 @t339 @t338 @t364 @t337)) % 234.06/234.31 (define @t369 () (or @t367 @t366 @t340 @t339 @t338 @t364 @t337)) % 234.06/234.31 (define @t370 () (forall @t7 @t369)) % 234.06/234.31 (define @t371 () (forall @t345 @t370)) % 234.06/234.31 (define @t372 () (forall (@list @t328 @t327 @t1) @t369)) % 234.06/234.31 (define @t373 () (@list @t1 @t328 @t327)) % 234.06/234.31 (define @t374 () (or @t340 @t339 @t338 @t364 @t337)) % 234.06/234.31 (define @t375 () (or @t367 @t366 @t374)) % 234.06/234.31 (define @t376 () (forall @t373 @t375)) % 234.06/234.31 (define @t377 () (forall @t345 @t375)) % 234.06/234.31 (define @t378 () (forall @t345 @t374)) % 234.06/234.31 (define @t379 () (@var "BOUND_VARIABLE_11475" $$unsorted)) % 234.06/234.31 (define @t380 () (@var "BOUND_VARIABLE_11473" $$unsorted)) % 234.06/234.31 (define @t381 () (@list @t380 @t379)) % 234.06/234.31 (define @t382 () (or @t367 @t366 @t378)) % 234.06/234.31 (define @t383 () (not (= @t240 @t379))) % 234.06/234.31 (define @t384 () (not (forall @t256 (or @t255 @t254 @t253 @t252 @t304 @t242 @t383)))) % 234.06/234.31 (define @t385 () (not (= @t1 (tptp.app (tptp.app @t380 @t2) @t379)))) % 234.06/234.31 (define @t386 () (not (tptp.ssList @t379))) % 234.06/234.31 (define @t387 () (not (= @t261 @t380))) % 234.06/234.31 (define @t388 () (not (forall @t271 (or @t270 @t269 @t268 @t267 @t306 @t263 @t387)))) % 234.06/234.31 (define @t389 () (not (tptp.ssList @t380))) % 234.06/234.31 (define @t390 () (or @t389 @t388 @t386 @t385 @t384)) % 234.06/234.31 (define @t391 () (@list @t380 @t379)) % 234.06/234.31 (define @t392 () (forall @t391 @t390)) % 234.06/234.31 (define @t393 () (or @t367 @t366 @t392)) % 234.06/234.31 (define @t394 () (forall @t7 @t393)) % 234.06/234.31 (define @t395 () (or @t357 @t314 @t313 @t394)) % 234.06/234.31 (define @t396 () (or @t357 @t314 @t313 @t393)) % 234.06/234.31 (define @t397 () (or @t367 @t357 @t314 @t313 @t366 @t392)) % 234.06/234.31 (define @t398 () (or @t357 @t367 @t314 @t313 @t366 @t392)) % 234.06/234.31 (define @t399 () (or @t314 @t313 @t366 @t392)) % 234.06/234.31 (define @t400 () (or @t314 @t313 @t366 @t390)) % 234.06/234.31 (define @t401 () (or @t314 @t313 @t366 @t389 @t388 @t386 @t385 @t384)) % 234.06/234.31 (define @t402 () (not (= @t2 @t2))) % 234.06/234.31 (define @t403 () (or @t314 @t402 @t313 @t366 @t389 @t388 @t386 @t385 @t384)) % 234.06/234.31 (define @t404 () (not (= @t12 @t251))) % 234.06/234.31 (define @t405 () (not (forall @t256 (or @t255 @t254 @t253 @t252 @t404 @t242 @t383)))) % 234.06/234.31 (define @t406 () (not (= @t1 (tptp.app (tptp.app @t380 @t12) @t379)))) % 234.06/234.31 (define @t407 () (not (= @t12 @t266))) % 234.06/234.31 (define @t408 () (not (forall @t271 (or @t270 @t269 @t268 @t267 @t407 @t263 @t387)))) % 234.06/234.31 (define @t409 () (= @t12 tptp.nil)) % 234.06/234.31 (define @t410 () (and @t365 @t409)) % 234.06/234.31 (define @t411 () (not @t15)) % 234.06/234.31 (define @t412 () (or @t212 @t411 @t212 @t203 @t410 @t389 @t408 @t386 @t406 @t405)) % 234.06/234.31 (define @t413 () (or @t411 @t212 @t203 @t410 @t389 @t408 @t386 @t406 @t405)) % 234.06/234.31 (define @t414 () (forall @t16 @t413)) % 234.06/234.31 (define @t415 () (forall @t391 @t414)) % 234.06/234.31 (define @t416 () (forall (@list @t380 @t379 @t12) @t413)) % 234.06/234.31 (define @t417 () (@list @t12 @t380 @t379)) % 234.06/234.31 (define @t418 () (or @t389 @t408 @t386 @t406 @t405)) % 234.06/234.31 (define @t419 () (or @t411 @t212 @t203 @t410 @t418)) % 234.06/234.31 (define @t420 () (forall @t417 @t419)) % 234.06/234.31 (define @t421 () (forall @t391 @t419)) % 234.06/234.31 (define @t422 () (forall @t391 @t418)) % 234.06/234.31 (define @t423 () (@var "BOUND_VARIABLE_11420" $$unsorted)) % 234.06/234.31 (define @t424 () (@var "BOUND_VARIABLE_11418" $$unsorted)) % 234.06/234.31 (define @t425 () (@list @t424 @t423)) % 234.06/234.31 (define @t426 () (or @t411 @t212 @t203 @t410 @t422)) % 234.06/234.31 (define @t427 () (not (forall @t256 (or @t255 @t254 @t253 @t252 @t404 @t242 (not (= @t240 @t423)))))) % 234.06/234.31 (define @t428 () (tptp.app (tptp.app @t424 @t12) @t423)) % 234.06/234.31 (define @t429 () (not (= @t1 @t428))) % 234.06/234.31 (define @t430 () (not (tptp.ssList @t423))) % 234.06/234.31 (define @t431 () (not (forall @t271 (or @t270 @t269 @t268 @t267 @t407 @t263 (not (= @t261 @t424)))))) % 234.06/234.31 (define @t432 () (not (tptp.ssList @t424))) % 234.06/234.31 (define @t433 () (or @t432 @t431 @t430 @t429 @t427)) % 234.06/234.31 (define @t434 () (@list @t424 @t423)) % 234.06/234.31 (define @t435 () (forall @t434 @t433)) % 234.06/234.31 (define @t436 () (or @t411 @t212 @t203 @t410 @t435)) % 234.06/234.31 (define @t437 () (forall @t16 @t436)) % 234.06/234.31 (define @t438 () (or @t357 @t367 @t437)) % 234.06/234.31 (define @t439 () (or @t357 @t367 @t436)) % 234.06/234.31 (define @t440 () (or @t411 @t212 @t357 @t203 @t367 @t410 @t435)) % 234.06/234.31 (define @t441 () (or @t212 @t357 @t203 @t367 @t410 @t435)) % 234.06/234.31 (define @t442 () (or @t367 @t410 @t435)) % 234.06/234.31 (define @t443 () (or @t367 @t410 @t433)) % 234.06/234.31 (define @t444 () (or @t367 @t410 @t432 @t431 @t430 @t429 @t427)) % 234.06/234.31 (define @t445 () (not (= @t1 @t1))) % 234.06/234.31 (define @t446 () (or @t367 @t445 @t410 @t432 @t431 @t430 @t429 @t427)) % 234.06/234.31 (define @t447 () (not (= @t10 @t428))) % 234.06/234.31 (define @t448 () (and (not (= @t10 tptp.nil)) @t409)) % 234.06/234.31 (define @t449 () (or @t213 @t214 @t213 @t448 @t432 @t431 @t430 @t447 @t427)) % 234.06/234.31 (define @t450 () (or @t214 @t213 @t448 @t432 @t431 @t430 @t447 @t427)) % 234.06/234.31 (define @t451 () (forall @t14 @t450)) % 234.06/234.31 (define @t452 () (forall @t434 @t451)) % 234.06/234.31 (define @t453 () (forall (@list @t424 @t423 @t10) @t450)) % 234.06/234.31 (define @t454 () (@list @t10 @t424 @t423)) % 234.06/234.31 (define @t455 () (not (= @t424 @t261))) % 234.06/234.31 (define @t456 () (or @t270 @t269 @t268 @t267 @t407 @t263 @t455)) % 234.06/234.31 (define @t457 () (forall @t271 @t456)) % 234.06/234.31 (define @t458 () (not @t457)) % 234.06/234.31 (define @t459 () (or @t214 @t213 @t448 @t432 @t458 @t430 @t447 @t427)) % 234.06/234.31 (define @t460 () (or @t432 @t458 @t430 @t447 @t427)) % 234.06/234.31 (define @t461 () (or @t214 @t213 @t448 @t460)) % 234.06/234.31 (define @t462 () (forall @t454 @t461)) % 234.06/234.31 (define @t463 () (forall @t434 @t461)) % 234.06/234.31 (define @t464 () (forall @t434 @t460)) % 234.06/234.31 (define @t465 () (@var "BOUND_VARIABLE_11216" $$unsorted)) % 234.06/234.31 (define @t466 () (or @t214 @t213 @t448 @t464)) % 234.06/234.31 (define @t467 () (not (= @t10 (tptp.app @t204 @t465)))) % 234.06/234.31 (define @t468 () (not (tptp.ssList @t465))) % 234.06/234.31 (define @t469 () (not (= @t28 @t261))) % 234.06/234.31 (define @t470 () (or @t270 @t269 @t268 @t267 @t407 @t263 @t469)) % 234.06/234.31 (define @t471 () (not (forall @t271 @t470))) % 234.06/234.31 (define @t472 () (not @t34)) % 234.06/234.31 (define @t473 () (@list @t28 @t465)) % 234.06/234.31 (define @t474 () (forall @t473 (or @t472 @t471 @t468 @t467 (not (forall @t256 (or @t255 @t254 @t253 @t252 @t404 @t242 (not (= @t240 @t465)))))))) % 234.06/234.31 (define @t475 () (or @t214 @t213 @t448 @t474)) % 234.06/234.31 (define @t476 () (forall @t14 @t475)) % 234.06/234.31 (define @t477 () (or @t212 @t357 @t203 @t476)) % 234.06/234.31 (define @t478 () (or @t212 @t357 @t203 @t475)) % 234.06/234.31 (define @t479 () (or @t214 @t213 @t212 @t357 @t448 @t203 @t474)) % 234.06/234.31 (define @t480 () (or @t353 @t352 @t351 @t350 @t349 @t348 @t347)) % 234.06/234.31 (define @t481 () (or @t354 @t480)) % 234.06/234.31 (define @t482 () (forall @t356 @t481)) % 234.06/234.31 (define @t483 () (@list @t335 @t334 @t333 @t332 @t331)) % 234.06/234.31 (define @t484 () (forall @t483 @t481)) % 234.06/234.31 (define @t485 () (forall @t483 @t480)) % 234.06/234.31 (define @t486 () (@var "BOUND_VARIABLE_11331" $$unsorted)) % 234.06/234.31 (define @t487 () (@var "BOUND_VARIABLE_11329" $$unsorted)) % 234.06/234.31 (define @t488 () (@var "BOUND_VARIABLE_11327" $$unsorted)) % 234.06/234.31 (define @t489 () (@var "BOUND_VARIABLE_11325" $$unsorted)) % 234.06/234.31 (define @t490 () (or @t354 @t485)) % 234.06/234.31 (define @t491 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t489 @t127) @t488) @t126) @t486)))) % 234.06/234.31 (define @t492 () (not (tptp.ssList @t486))) % 234.06/234.31 (define @t493 () (and (or (not (tptp.ssItem @t487)) (not (tptp.memberP @t488 @t487)) (and (tptp.leq @t119 @t487) (tptp.leq @t487 @t118))) @t120)) % 234.06/234.31 (define @t494 () (not (tptp.ssList @t488))) % 234.06/234.31 (define @t495 () (not (tptp.ssList @t489))) % 234.06/234.31 (define @t496 () (not @t145)) % 234.06/234.31 (define @t497 () (or @t496 @t124 @t495 @t494 @t493 @t492 @t491)) % 234.06/234.31 (define @t498 () (@list @t118 @t489 @t488 @t487 @t486)) % 234.06/234.31 (define @t499 () (forall @t498 @t497)) % 234.06/234.31 (define @t500 () (or @t495 @t494 @t493 @t492 @t491)) % 234.06/234.31 (define @t501 () (or @t496 @t124 @t500)) % 234.06/234.31 (define @t502 () (forall @t498 @t501)) % 234.06/234.31 (define @t503 () (@list @t489 @t488 @t487 @t486)) % 234.06/234.31 (define @t504 () (forall @t503 @t501)) % 234.06/234.31 (define @t505 () (forall @t503 @t500)) % 234.06/234.31 (define @t506 () (@var "BOUND_VARIABLE_11293" $$unsorted)) % 234.06/234.31 (define @t507 () (@var "BOUND_VARIABLE_11291" $$unsorted)) % 234.06/234.31 (define @t508 () (@var "BOUND_VARIABLE_11289" $$unsorted)) % 234.06/234.31 (define @t509 () (or @t496 @t124 @t505)) % 234.06/234.31 (define @t510 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t129 @t508) @t126) @t506)))) % 234.06/234.31 (define @t511 () (not (tptp.ssList @t506))) % 234.06/234.31 (define @t512 () (and (or (not (tptp.ssItem @t507)) (not (tptp.memberP @t508 @t507)) (and (tptp.leq @t119 @t507) (tptp.leq @t507 @t118))) @t120)) % 234.06/234.31 (define @t513 () (not (tptp.ssList @t508))) % 234.06/234.31 (define @t514 () (not @t141)) % 234.06/234.31 (define @t515 () (or @t514 @t513 @t512 @t511 @t510)) % 234.06/234.31 (define @t516 () (@list @t128 @t508 @t507 @t506)) % 234.06/234.31 (define @t517 () (forall @t516 @t515)) % 234.06/234.31 (define @t518 () (or @t496 @t124 @t517)) % 234.06/234.31 (define @t519 () (or @t124 @t517)) % 234.06/234.31 (define @t520 () (or @t513 @t512 @t511 @t510)) % 234.06/234.31 (define @t521 () (or @t514 @t520)) % 234.06/234.31 (define @t522 () (forall @t516 @t521)) % 234.06/234.31 (define @t523 () (@list @t508 @t507 @t506)) % 234.06/234.31 (define @t524 () (forall @t523 @t521)) % 234.06/234.31 (define @t525 () (forall @t523 @t520)) % 234.06/234.31 (define @t526 () (@var "BOUND_VARIABLE_11267" $$unsorted)) % 234.06/234.31 (define @t527 () (@var "BOUND_VARIABLE_11256" $$unsorted)) % 234.06/234.31 (define @t528 () (or @t514 @t525)) % 234.06/234.31 (define @t529 () (not (= @t2 (tptp.app @t130 @t526)))) % 234.06/234.31 (define @t530 () (not (tptp.ssList @t526))) % 234.06/234.31 (define @t531 () (or (not (tptp.ssItem @t527)) (not (tptp.memberP @t122 @t527)) (and (tptp.leq @t119 @t527) (tptp.leq @t527 @t118)))) % 234.06/234.31 (define @t532 () (and @t531 @t120)) % 234.06/234.31 (define @t533 () (not @t137)) % 234.06/234.31 (define @t534 () (or @t533 @t532 @t530 @t529)) % 234.06/234.31 (define @t535 () (@list @t122 @t527 @t526)) % 234.06/234.31 (define @t536 () (forall @t535 @t534)) % 234.06/234.31 (define @t537 () (or @t514 @t536)) % 234.06/234.31 (define @t538 () (forall @t143 @t537)) % 234.06/234.31 (define @t539 () (or @t124 @t538)) % 234.06/234.31 (define @t540 () (or @t124 @t537)) % 234.06/234.31 (define @t541 () (or @t514 @t124 @t536)) % 234.06/234.31 (define @t542 () (or @t124 @t536)) % 234.06/234.31 (define @t543 () (or @t530 @t529)) % 234.06/234.31 (define @t544 () (or @t533 @t532 @t543)) % 234.06/234.31 (define @t545 () (forall @t535 @t544)) % 234.06/234.31 (define @t546 () (forall (@list @t527 @t526) @t544)) % 234.06/234.31 (define @t547 () (forall (@list @t526) @t543)) % 234.06/234.31 (define @t548 () (@list @t527)) % 234.06/234.31 (define @t549 () (forall @t548 @t120)) % 234.06/234.31 (define @t550 () (forall @t548 @t531)) % 234.06/234.31 (define @t551 () (and @t550 @t549)) % 234.06/234.31 (define @t552 () (forall @t548 @t532)) % 234.06/234.31 (define @t553 () (or @t533 @t552 @t547)) % 234.06/234.31 (define @t554 () (not (= @t2 @t131))) % 234.06/234.31 (define @t555 () (or @t133 @t554)) % 234.06/234.31 (define @t556 () (forall @t135 @t555)) % 234.06/234.31 (define @t557 () (or @t533 @t123 @t556)) % 234.06/234.31 (define @t558 () (forall @t139 @t557)) % 234.06/234.31 (define @t559 () (or @t124 @t558)) % 234.06/234.31 (define @t560 () (or @t124 @t557)) % 234.06/234.31 (define @t561 () (or @t533 @t124 @t123 @t556)) % 234.06/234.31 (define @t562 () (or @t124 @t123 @t556)) % 234.06/234.31 (define @t563 () (or @t124 @t123 @t555)) % 234.06/234.31 (define @t564 () (or @t133 @t554 @t124 @t123)) % 234.06/234.31 (define @t565 () (not (= @t465 @t240))) % 234.06/234.31 (define @t566 () (or @t255 @t254 @t253 @t252 @t404 @t242 @t565)) % 234.06/234.31 (define @t567 () (forall @t256 @t566)) % 234.06/234.31 (define @t568 () (not @t567)) % 234.06/234.31 (define @t569 () (or @t472 @t471 @t468 @t467 @t568)) % 234.06/234.31 (define @t570 () (or @t468 @t467 @t568)) % 234.06/234.31 (define @t571 () (or @t472 @t471 @t570)) % 234.06/234.31 (define @t572 () (forall @t473 @t571)) % 234.06/234.31 (define @t573 () (@list @t465)) % 234.06/234.31 (define @t574 () (forall @t573 @t571)) % 234.06/234.31 (define @t575 () (forall @t573 @t570)) % 234.06/234.31 (define @t576 () (@list @t27)) % 234.06/234.31 (define @t577 () (or @t472 @t471 @t575)) % 234.06/234.31 (define @t578 () (not (= @t27 @t240))) % 234.06/234.31 (define @t579 () (or @t255 @t254 @t253 @t252 @t404 @t242 @t578)) % 234.06/234.31 (define @t580 () (not (forall @t256 @t579))) % 234.06/234.31 (define @t581 () (not (= @t10 @t205))) % 234.06/234.31 (define @t582 () (or @t207 @t581 @t580)) % 234.06/234.31 (define @t583 () (forall @t33 @t582)) % 234.06/234.31 (define @t584 () (or @t472 @t471 @t583)) % 234.06/234.31 (define @t585 () (forall @t35 @t584)) % 234.06/234.31 (define @t586 () (or @t203 @t585)) % 234.06/234.31 (define @t587 () (or @t203 @t584)) % 234.06/234.31 (define @t588 () (or @t472 @t203 @t471 @t583)) % 234.06/234.31 (define @t589 () (or @t203 @t471 @t583)) % 234.06/234.31 (define @t590 () (or @t203 @t471 @t582)) % 234.06/234.31 (define @t591 () (or @t207 @t581 @t203 @t471 @t580)) % 234.06/234.31 (define @t592 () (or @t242 @t578)) % 234.06/234.31 (define @t593 () (or @t254 @t253 @t252 @t404)) % 234.06/234.31 (define @t594 () (or @t255 @t593 @t592)) % 234.06/234.31 (define @t595 () (forall @t256 @t594)) % 234.06/234.31 (define @t596 () (forall (@list @t249 @t250 @t239) @t594)) % 234.06/234.31 (define @t597 () (forall (@list @t239) @t592)) % 234.06/234.31 (define @t598 () (forall (@list @t249 @t250) @t593)) % 234.06/234.31 (define @t599 () (@var "BOUND_VARIABLE_11140" $$unsorted)) % 234.06/234.31 (define @t600 () (or @t255 @t598 @t597)) % 234.06/234.31 (define @t601 () (= @t27 @t169)) % 234.06/234.31 (define @t602 () (not @t601)) % 234.06/234.31 (define @t603 () (not @t170)) % 234.06/234.31 (define @t604 () (or @t603 @t602)) % 234.06/234.31 (define @t605 () (forall @t172 @t604)) % 234.06/234.31 (define @t606 () (not (= @t12 (tptp.app @t599 @t156)))) % 234.06/234.31 (define @t607 () (not (tptp.ssList @t599))) % 234.06/234.31 (define @t608 () (not @t155)) % 234.06/234.31 (define @t609 () (not @t163)) % 234.06/234.31 (define @t610 () (or @t609 @t608 @t607 @t606)) % 234.06/234.31 (define @t611 () (@list @t154 @t599)) % 234.06/234.31 (define @t612 () (forall @t611 @t610)) % 234.06/234.31 (define @t613 () (or @t255 @t612 @t605)) % 234.06/234.31 (define @t614 () (or @t612 @t605)) % 234.06/234.31 (define @t615 () (not @t614)) % 234.06/234.31 (define @t616 () (and @t174 @t615)) % 234.06/234.31 (define @t617 () (forall @t176 (not @t616))) % 234.06/234.31 (define @t618 () (not @t617)) % 234.06/234.31 (define @t619 () (or @t612 @t604)) % 234.06/234.31 (define @t620 () (or @t603 @t602 @t612)) % 234.06/234.31 (define @t621 () (not @t612)) % 234.06/234.31 (define @t622 () (not @t621)) % 234.06/234.31 (define @t623 () (or @t603 @t602 @t622)) % 234.06/234.31 (define @t624 () (and @t170 @t601 @t621)) % 234.06/234.31 (define @t625 () (forall @t172 (not @t624))) % 234.06/234.31 (define @t626 () (not @t625)) % 234.06/234.31 (define @t627 () (or @t607 @t606)) % 234.06/234.31 (define @t628 () (or @t609 @t608 @t627)) % 234.06/234.31 (define @t629 () (forall @t611 @t628)) % 234.06/234.31 (define @t630 () (@list @t599)) % 234.06/234.31 (define @t631 () (forall @t630 @t628)) % 234.06/234.31 (define @t632 () (forall @t630 @t627)) % 234.06/234.31 (define @t633 () (or @t609 @t608 @t632)) % 234.06/234.31 (define @t634 () (= @t12 @t158)) % 234.06/234.31 (define @t635 () (not @t634)) % 234.06/234.31 (define @t636 () (not @t159)) % 234.06/234.31 (define @t637 () (or @t636 @t635)) % 234.06/234.31 (define @t638 () (forall @t161 @t637)) % 234.06/234.31 (define @t639 () (or @t609 @t608 @t638)) % 234.06/234.31 (define @t640 () (or @t608 @t638)) % 234.06/234.31 (define @t641 () (not @t640)) % 234.06/234.31 (define @t642 () (and @t163 @t641)) % 234.06/234.31 (define @t643 () (forall @t165 (not @t642))) % 234.06/234.31 (define @t644 () (not @t643)) % 234.06/234.31 (define @t645 () (or @t608 @t637)) % 234.06/234.31 (define @t646 () (or @t636 @t635 @t608)) % 234.06/234.31 (define @t647 () (and @t159 @t634 @t155)) % 234.06/234.31 (define @t648 () (forall @t161 (not @t647))) % 234.06/234.31 (define @t649 () (not @t648)) % 234.06/234.31 (define @t650 () (or @t263 @t469)) % 234.06/234.31 (define @t651 () (or @t269 @t268 @t267 @t407)) % 234.06/234.31 (define @t652 () (or @t270 @t651 @t650)) % 234.06/234.31 (define @t653 () (forall @t271 @t652)) % 234.06/234.31 (define @t654 () (forall (@list @t265 @t264 @t260) @t652)) % 234.06/234.31 (define @t655 () (forall (@list @t260) @t650)) % 234.06/234.31 (define @t656 () (forall (@list @t265 @t264) @t651)) % 234.06/234.31 (define @t657 () (@var "BOUND_VARIABLE_11052" $$unsorted)) % 234.06/234.31 (define @t658 () (or @t270 @t656 @t655)) % 234.06/234.31 (define @t659 () (= @t28 @t194)) % 234.06/234.31 (define @t660 () (not @t659)) % 234.06/234.31 (define @t661 () (not @t195)) % 234.06/234.31 (define @t662 () (or @t661 @t660)) % 234.06/234.31 (define @t663 () (forall @t197 @t662)) % 234.06/234.31 (define @t664 () (not (= @t12 (tptp.app @t182 @t657)))) % 234.06/234.31 (define @t665 () (not (tptp.ssList @t657))) % 234.06/234.31 (define @t666 () (not @t180)) % 234.06/234.31 (define @t667 () (not @t188)) % 234.06/234.31 (define @t668 () (or @t667 @t666 @t665 @t664)) % 234.06/234.31 (define @t669 () (@list @t178 @t657)) % 234.06/234.31 (define @t670 () (forall @t669 @t668)) % 234.06/234.31 (define @t671 () (or @t270 @t670 @t663)) % 234.06/234.31 (define @t672 () (or @t670 @t663)) % 234.06/234.31 (define @t673 () (not @t672)) % 234.06/234.31 (define @t674 () (and @t199 @t673)) % 234.06/234.31 (define @t675 () (forall @t201 (not @t674))) % 234.06/234.31 (define @t676 () (not @t675)) % 234.06/234.31 (define @t677 () (or @t670 @t662)) % 234.06/234.31 (define @t678 () (or @t661 @t660 @t670)) % 234.06/234.31 (define @t679 () (not @t670)) % 234.06/234.31 (define @t680 () (not @t679)) % 234.06/234.31 (define @t681 () (or @t661 @t660 @t680)) % 234.06/234.31 (define @t682 () (and @t195 @t659 @t679)) % 234.06/234.31 (define @t683 () (forall @t197 (not @t682))) % 234.06/234.31 (define @t684 () (not @t683)) % 234.06/234.31 (define @t685 () (or @t665 @t664)) % 234.06/234.31 (define @t686 () (or @t667 @t666 @t685)) % 234.06/234.31 (define @t687 () (forall @t669 @t686)) % 234.06/234.31 (define @t688 () (@list @t657)) % 234.06/234.31 (define @t689 () (forall @t688 @t686)) % 234.06/234.31 (define @t690 () (forall @t688 @t685)) % 234.06/234.31 (define @t691 () (or @t667 @t666 @t690)) % 234.06/234.31 (define @t692 () (= @t12 @t183)) % 234.06/234.31 (define @t693 () (not @t692)) % 234.06/234.31 (define @t694 () (not @t184)) % 234.06/234.31 (define @t695 () (or @t694 @t693)) % 234.06/234.31 (define @t696 () (forall @t186 @t695)) % 234.06/234.31 (define @t697 () (or @t667 @t666 @t696)) % 234.06/234.31 (define @t698 () (or @t666 @t696)) % 234.06/234.31 (define @t699 () (not @t698)) % 234.06/234.31 (define @t700 () (and @t188 @t699)) % 234.06/234.31 (define @t701 () (forall @t190 (not @t700))) % 234.06/234.31 (define @t702 () (not @t701)) % 234.06/234.31 (define @t703 () (or @t666 @t695)) % 234.06/234.31 (define @t704 () (or @t694 @t693 @t666)) % 234.06/234.31 (define @t705 () (and @t184 @t692 @t180)) % 234.06/234.31 (define @t706 () (forall @t186 (not @t705))) % 234.06/234.31 (define @t707 () (not @t706)) % 234.06/234.31 (define @t708 () (tptp.ssItem @t291)) % 234.06/234.31 (define @t709 () (@quantifiers_skolemize @t290 7)) % 234.06/234.31 (define @t710 () (@quantifiers_skolemize @t290 5)) % 234.06/234.31 (define @t711 () (tptp.cons @t291 tptp.nil)) % 234.06/234.31 (define @t712 () (@quantifiers_skolemize @t290 3)) % 234.06/234.31 (define @t713 () (tptp.cons @t292 tptp.nil)) % 234.06/234.31 (define @t714 () (@quantifiers_skolemize @t290 2)) % 234.06/234.31 (define @t715 () (tptp.app @t714 @t713)) % 234.06/234.31 (define @t716 () (tptp.app @t715 @t712)) % 234.06/234.31 (define @t717 () (tptp.app (tptp.app @t716 @t711) @t710)) % 234.06/234.31 (define @t718 () (@quantifiers_skolemize @t290 6)) % 234.06/234.31 (define @t719 () (tptp.app (tptp.app @t718 @t717) @t709)) % 234.06/234.31 (define @t720 () (tptp.ssList @t710)) % 234.06/234.31 (define @t721 () (not @t720)) % 234.06/234.31 (define @t722 () (tptp.leq @t292 @t291)) % 234.06/234.31 (define @t723 () (@quantifiers_skolemize @t290 4)) % 234.06/234.31 (define @t724 () (tptp.ssList @t712)) % 234.06/234.31 (define @t725 () (not @t724)) % 234.06/234.31 (define @t726 () (tptp.ssList @t714)) % 234.06/234.31 (define @t727 () (not @t726)) % 234.06/234.31 (define @t728 () (tptp.leq @t291 @t292)) % 234.06/234.31 (define @t729 () (not @t728)) % 234.06/234.31 (define @t730 () (not @t708)) % 234.06/234.31 (define @t731 () (tptp.ssItem @t292)) % 234.06/234.31 (define @t732 () (not @t731)) % 234.06/234.31 (define @t733 () (tptp.strictorderedP @t717)) % 234.06/234.31 (define @t734 () (not @t733)) % 234.06/234.31 (define @t735 () (tptp.ssList @t717)) % 234.06/234.31 (define @t736 () (not @t735)) % 234.06/234.31 (define @t737 () (or @t736 @t734 @t732 @t730 @t729 @t727 @t725 (and (or (not (tptp.ssItem @t723)) (not (tptp.memberP @t712 @t723)) (and (tptp.leq @t292 @t723) (tptp.leq @t723 @t291))) @t722) @t721 (not (tptp.ssList @t719)) (and (not (= tptp.nil @t719)) (= tptp.nil @t717)) (not (tptp.ssList @t718)) (not (forall @t271 (or @t270 @t269 @t268 @t267 (not (= @t266 @t717)) @t263 (not (= @t261 @t718))))) (not (tptp.ssList @t709)) (not (forall @t256 (or @t255 @t254 @t253 @t252 (not (= @t251 @t717)) @t242 (not (= @t240 @t709))))))) % 234.06/234.31 (define @t738 () (@list true)) % 234.06/234.31 (define @t739 () (@list @t737)) % 234.06/234.31 (define @t740 () (= @t292 @t291)) % 234.06/234.31 (define @t741 () (not @t740)) % 234.06/234.31 (define @t742 () (and @t741 @t722)) % 234.06/234.31 (define @t743 () (tptp.lt @t292 @t291)) % 234.06/234.31 (define @t744 () (= @t743 @t742)) % 234.06/234.31 (define @t745 () (or @t732 @t730 @t744)) % 234.06/234.31 (define @t746 () (@list false false false)) % 234.06/234.31 (define @t747 () (@var "BOUND_VARIABLE_8982" $$unsorted)) % 234.06/234.31 (define @t748 () (@var "BOUND_VARIABLE_8976" $$unsorted)) % 234.06/234.31 (define @t749 () (@var "BOUND_VARIABLE_8980" $$unsorted)) % 234.06/234.31 (define @t750 () (@var "BOUND_VARIABLE_8978" $$unsorted)) % 234.06/234.31 (define @t751 () (tptp.app (tptp.app @t750 (tptp.cons @t1 @t749)) (tptp.cons @t748 @t747))) % 234.06/234.31 (define @t752 () (not (= @t2 @t751))) % 234.06/234.31 (define @t753 () (not (tptp.ssList @t747))) % 234.06/234.31 (define @t754 () (not (tptp.ssList @t749))) % 234.06/234.31 (define @t755 () (not (tptp.ssList @t750))) % 234.06/234.31 (define @t756 () (tptp.lt @t1 @t748)) % 234.06/234.31 (define @t757 () (not (tptp.ssItem @t748))) % 234.06/234.31 (define @t758 () (or @t236 @t757 @t756 @t755 @t754 @t753 @t752)) % 234.06/234.31 (define @t759 () (@list @t1 @t748 @t750 @t749 @t747)) % 234.06/234.31 (define @t760 () (= @t49 (forall @t759 @t758))) % 234.06/234.31 (define @t761 () (or @t757 @t756 @t755 @t754 @t753 @t752)) % 234.06/234.31 (define @t762 () (or @t236 @t761)) % 234.06/234.31 (define @t763 () (forall @t759 @t762)) % 234.06/234.31 (define @t764 () (@list @t748 @t750 @t749 @t747)) % 234.06/234.31 (define @t765 () (forall @t764 @t762)) % 234.06/234.31 (define @t766 () (forall @t764 @t761)) % 234.06/234.31 (define @t767 () (@var "BOUND_VARIABLE_8952" $$unsorted)) % 234.06/234.31 (define @t768 () (@var "BOUND_VARIABLE_8950" $$unsorted)) % 234.06/234.31 (define @t769 () (@var "BOUND_VARIABLE_8948" $$unsorted)) % 234.06/234.31 (define @t770 () (or @t236 @t766)) % 234.06/234.31 (define @t771 () (not (= @t2 (tptp.app (tptp.app @t769 (tptp.cons @t1 @t768)) (tptp.cons @t12 @t767))))) % 234.06/234.31 (define @t772 () (not (tptp.ssList @t767))) % 234.06/234.31 (define @t773 () (not (tptp.ssList @t768))) % 234.06/234.31 (define @t774 () (not (tptp.ssList @t769))) % 234.06/234.31 (define @t775 () (not @t36)) % 234.06/234.31 (define @t776 () (or @t775 @t37 @t774 @t773 @t772 @t771)) % 234.06/234.31 (define @t777 () (@list @t12 @t769 @t768 @t767)) % 234.06/234.31 (define @t778 () (forall @t777 @t776)) % 234.06/234.31 (define @t779 () (or @t774 @t773 @t772 @t771)) % 234.06/234.31 (define @t780 () (or @t775 @t37 @t779)) % 234.06/234.31 (define @t781 () (forall @t777 @t780)) % 234.06/234.31 (define @t782 () (@list @t769 @t768 @t767)) % 234.06/234.31 (define @t783 () (forall @t782 @t780)) % 234.06/234.31 (define @t784 () (forall @t782 @t779)) % 234.06/234.31 (define @t785 () (@var "BOUND_VARIABLE_8575" $$unsorted)) % 234.06/234.31 (define @t786 () (@var "BOUND_VARIABLE_8573" $$unsorted)) % 234.06/234.31 (define @t787 () (or @t775 @t37 @t784)) % 234.06/234.31 (define @t788 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t786)) (tptp.cons @t12 @t785))))) % 234.06/234.31 (define @t789 () (not (tptp.ssList @t785))) % 234.06/234.31 (define @t790 () (not (tptp.ssList @t786))) % 234.06/234.31 (define @t791 () (or @t214 @t790 @t789 @t788)) % 234.06/234.31 (define @t792 () (@list @t10 @t786 @t785)) % 234.06/234.31 (define @t793 () (forall @t792 @t791)) % 234.06/234.31 (define @t794 () (or @t775 @t37 @t793)) % 234.06/234.31 (define @t795 () (or @t37 @t793)) % 234.06/234.31 (define @t796 () (or @t790 @t789 @t788)) % 234.06/234.31 (define @t797 () (or @t214 @t796)) % 234.06/234.31 (define @t798 () (forall @t792 @t797)) % 234.06/234.31 (define @t799 () (@list @t786 @t785)) % 234.06/234.31 (define @t800 () (forall @t799 @t797)) % 234.06/234.31 (define @t801 () (forall @t799 @t796)) % 234.06/234.31 (define @t802 () (@var "BOUND_VARIABLE_8551" $$unsorted)) % 234.06/234.31 (define @t803 () (or @t214 @t801)) % 234.06/234.31 (define @t804 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t802))))) % 234.06/234.31 (define @t805 () (not (tptp.ssList @t802))) % 234.06/234.31 (define @t806 () (or @t472 @t805 @t804)) % 234.06/234.31 (define @t807 () (@list @t28 @t802)) % 234.06/234.31 (define @t808 () (forall @t807 @t806)) % 234.06/234.31 (define @t809 () (or @t214 @t808)) % 234.06/234.31 (define @t810 () (forall @t14 @t809)) % 234.06/234.31 (define @t811 () (or @t37 @t810)) % 234.06/234.31 (define @t812 () (or @t37 @t809)) % 234.06/234.31 (define @t813 () (or @t214 @t37 @t808)) % 234.06/234.31 (define @t814 () (or @t37 @t808)) % 234.06/234.31 (define @t815 () (or @t805 @t804)) % 234.06/234.31 (define @t816 () (or @t472 @t815)) % 234.06/234.31 (define @t817 () (forall @t807 @t816)) % 234.06/234.31 (define @t818 () (@list @t802)) % 234.06/234.31 (define @t819 () (forall @t818 @t816)) % 234.06/234.31 (define @t820 () (forall @t818 @t815)) % 234.06/234.31 (define @t821 () (or @t472 @t820)) % 234.06/234.31 (define @t822 () (= @t2 @t30)) % 234.06/234.31 (define @t823 () (not @t822)) % 234.06/234.31 (define @t824 () (or @t207 @t823)) % 234.06/234.31 (define @t825 () (forall @t33 @t824)) % 234.06/234.31 (define @t826 () (or @t472 @t825)) % 234.06/234.31 (define @t827 () (forall @t35 @t826)) % 234.06/234.31 (define @t828 () (or @t37 @t827)) % 234.06/234.31 (define @t829 () (or @t37 @t826)) % 234.06/234.31 (define @t830 () (or @t472 @t37 @t825)) % 234.06/234.31 (define @t831 () (or @t37 @t825)) % 234.06/234.31 (define @t832 () (or @t37 @t824)) % 234.06/234.31 (define @t833 () (or @t207 @t823 @t37)) % 234.06/234.31 (define @t834 () (=> @t822 @t37)) % 234.06/234.31 (define @t835 () (not (= @t717 @t751))) % 234.06/234.31 (define @t836 () (or @t236 @t757 @t756 @t755 @t754 @t753 @t835)) % 234.06/234.31 (define @t837 () (forall @t759 @t836)) % 234.06/234.31 (define @t838 () (= @t733 @t837)) % 234.06/234.31 (define @t839 () (or @t736 @t838)) % 234.06/234.31 (define @t840 () (forall @t9 (or @t314 @t760))) % 234.06/234.31 (define @t841 () (forall @t759 (or @t236 @t757 @t756 @t755 @t754 @t753 (not (= @t751 @t717))))) % 234.06/234.31 (define @t842 () (= @t733 @t841)) % 234.06/234.31 (define @t843 () (or @t736 @t842)) % 234.06/234.31 (define @t844 () (@list false)) % 234.06/234.31 (define @t845 () (@list false false)) % 234.06/234.31 (define @t846 () (tptp.app (tptp.app @t714 (tptp.cons @t292 @t712)) (tptp.cons @t291 @t710))) % 234.06/234.31 (define @t847 () (not (= @t846 @t717))) % 234.06/234.31 (define @t848 () (or @t732 @t730 @t743 @t727 @t725 @t721 @t847)) % 234.06/234.31 (define @t849 () (= @t717 @t846)) % 234.06/234.31 (define @t850 () (not @t849)) % 234.06/234.31 (define @t851 () (or @t732 @t730 @t743 @t727 @t725 @t721 @t850)) % 234.06/234.31 (define @t852 () (= @t2 @t78)) % 234.06/234.31 (define @t853 () (tptp.app tptp.nil @t710)) % 234.06/234.31 (define @t854 () (= @t710 @t853)) % 234.06/234.31 (define @t855 () (or @t721 @t854)) % 234.06/234.31 (define @t856 () (tptp.cons @t291 @t853)) % 234.06/234.31 (define @t857 () (@var "BOUND_VARIABLE_9505" $$unsorted)) % 234.06/234.31 (define @t858 () (@var "BOUND_VARIABLE_9507" $$unsorted)) % 234.06/234.31 (define @t859 () (= (tptp.cons @t858 (tptp.app @t857 @t2)) (tptp.app (tptp.cons @t858 @t857) @t2))) % 234.06/234.31 (define @t860 () (not (tptp.ssItem @t858))) % 234.06/234.31 (define @t861 () (not (tptp.ssList @t857))) % 234.06/234.31 (define @t862 () (or @t314 @t861 @t860 @t859)) % 234.06/234.31 (define @t863 () (or @t861 @t860 @t859)) % 234.06/234.31 (define @t864 () (or @t314 @t863)) % 234.06/234.31 (define @t865 () (@list @t2 @t857 @t858)) % 234.06/234.31 (define @t866 () (forall @t865 @t864)) % 234.06/234.31 (define @t867 () (@list @t857 @t858)) % 234.06/234.31 (define @t868 () (forall @t867 @t864)) % 234.06/234.31 (define @t869 () (forall @t867 @t863)) % 234.06/234.31 (define @t870 () (@var "BOUND_VARIABLE_9487" $$unsorted)) % 234.06/234.31 (define @t871 () (or @t314 @t869)) % 234.06/234.31 (define @t872 () (= (tptp.cons @t870 @t71) (tptp.app (tptp.cons @t870 @t1) @t2))) % 234.06/234.31 (define @t873 () (not (tptp.ssItem @t870))) % 234.06/234.31 (define @t874 () (or @t367 @t873 @t872)) % 234.06/234.31 (define @t875 () (@list @t1 @t870)) % 234.06/234.31 (define @t876 () (forall @t875 @t874)) % 234.06/234.31 (define @t877 () (or @t873 @t872)) % 234.06/234.31 (define @t878 () (or @t367 @t877)) % 234.06/234.31 (define @t879 () (forall @t875 @t878)) % 234.06/234.31 (define @t880 () (@list @t870)) % 234.06/234.31 (define @t881 () (forall @t880 @t878)) % 234.06/234.31 (define @t882 () (forall @t880 @t877)) % 234.06/234.31 (define @t883 () (@list @t12)) % 234.06/234.31 (define @t884 () (or @t367 @t882)) % 234.06/234.31 (define @t885 () (forall @t16 (or @t775 @t72))) % 234.06/234.31 (define @t886 () (tptp.app @t711 @t710)) % 234.06/234.31 (define @t887 () (not @t59)) % 234.06/234.31 (define @t888 () (or @t721 @t887 @t730 (= @t856 @t886))) % 234.06/234.31 (define @t889 () (forall @t865 @t862)) % 234.06/234.31 (define @t890 () (= @t886 @t856)) % 234.06/234.31 (define @t891 () (or @t721 @t887 @t730 @t890)) % 234.06/234.31 (define @t892 () (@list @t889)) % 234.06/234.31 (define @t893 () (@list false false false false)) % 234.06/234.31 (define @t894 () (tptp.app tptp.nil @t712)) % 234.06/234.31 (define @t895 () (= @t712 @t894)) % 234.06/234.31 (define @t896 () (or @t725 @t895)) % 234.06/234.31 (define @t897 () (tptp.cons @t292 @t894)) % 234.06/234.31 (define @t898 () (tptp.app @t713 @t712)) % 234.06/234.31 (define @t899 () (or @t725 @t887 @t732 (= @t897 @t898))) % 234.06/234.31 (define @t900 () (= @t898 @t897)) % 234.06/234.31 (define @t901 () (or @t725 @t887 @t732 @t900)) % 234.06/234.31 (define @t902 () (tptp.app @t714 @t898)) % 234.06/234.31 (define @t903 () (@var "BOUND_VARIABLE_10668" $$unsorted)) % 234.06/234.31 (define @t904 () (@var "BOUND_VARIABLE_10666" $$unsorted)) % 234.06/234.31 (define @t905 () (= (tptp.app (tptp.app @t2 @t904) @t903) (tptp.app @t2 (tptp.app @t904 @t903)))) % 234.06/234.31 (define @t906 () (not (tptp.ssList @t903))) % 234.06/234.31 (define @t907 () (not (tptp.ssList @t904))) % 234.06/234.31 (define @t908 () (or @t907 @t906 @t905)) % 234.06/234.31 (define @t909 () (or @t314 @t908)) % 234.06/234.31 (define @t910 () (forall (@list @t2 @t904 @t903) @t909)) % 234.06/234.31 (define @t911 () (@list @t904 @t903)) % 234.06/234.31 (define @t912 () (forall @t911 @t909)) % 234.06/234.31 (define @t913 () (forall @t911 @t908)) % 234.06/234.31 (define @t914 () (@var "BOUND_VARIABLE_10648" $$unsorted)) % 234.06/234.31 (define @t915 () (or @t314 @t913)) % 234.06/234.31 (define @t916 () (= (tptp.app @t66 @t914) (tptp.app @t2 (tptp.app @t1 @t914)))) % 234.06/234.31 (define @t917 () (not (tptp.ssList @t914))) % 234.06/234.31 (define @t918 () (or @t367 @t917 @t916)) % 234.06/234.31 (define @t919 () (@list @t1 @t914)) % 234.06/234.31 (define @t920 () (forall @t919 @t918)) % 234.06/234.31 (define @t921 () (or @t917 @t916)) % 234.06/234.31 (define @t922 () (or @t367 @t921)) % 234.06/234.31 (define @t923 () (forall @t919 @t922)) % 234.06/234.31 (define @t924 () (@list @t914)) % 234.06/234.31 (define @t925 () (forall @t924 @t922)) % 234.06/234.31 (define @t926 () (forall @t924 @t921)) % 234.06/234.31 (define @t927 () (or @t367 @t926)) % 234.06/234.31 (define @t928 () (forall @t16 (or @t411 @t101))) % 234.06/234.31 (define @t929 () (@var "BOUND_VARIABLE_9224" $$unsorted)) % 234.06/234.31 (define @t930 () (tptp.ssList (tptp.cons @t929 @t2))) % 234.06/234.31 (define @t931 () (not (tptp.ssItem @t929))) % 234.06/234.31 (define @t932 () (or @t931 @t930)) % 234.06/234.31 (define @t933 () (or @t314 @t932)) % 234.06/234.31 (define @t934 () (forall (@list @t2 @t929) @t933)) % 234.06/234.31 (define @t935 () (@list @t929)) % 234.06/234.31 (define @t936 () (forall @t935 @t933)) % 234.06/234.31 (define @t937 () (forall @t935 @t932)) % 234.06/234.31 (define @t938 () (or @t314 @t937)) % 234.06/234.31 (define @t939 () (forall @t7 (or @t236 @t55))) % 234.06/234.31 (define @t940 () (tptp.ssList @t713)) % 234.06/234.31 (define @t941 () (or @t887 @t732 @t940)) % 234.06/234.31 (define @t942 () (= @t716 @t902)) % 234.06/234.31 (define @t943 () (not @t940)) % 234.06/234.31 (define @t944 () (or @t727 @t943 @t725 @t942)) % 234.06/234.31 (define @t945 () (tptp.app @t716 @t886)) % 234.06/234.31 (define @t946 () (tptp.ssList @t711)) % 234.06/234.31 (define @t947 () (or @t887 @t730 @t946)) % 234.06/234.31 (define @t948 () (@var "BOUND_VARIABLE_9468" $$unsorted)) % 234.06/234.31 (define @t949 () (tptp.ssList (tptp.app @t2 @t948))) % 234.06/234.31 (define @t950 () (not (tptp.ssList @t948))) % 234.06/234.31 (define @t951 () (or @t950 @t949)) % 234.06/234.31 (define @t952 () (or @t314 @t951)) % 234.06/234.31 (define @t953 () (forall (@list @t2 @t948) @t952)) % 234.06/234.31 (define @t954 () (@list @t948)) % 234.06/234.31 (define @t955 () (forall @t954 @t952)) % 234.06/234.31 (define @t956 () (forall @t954 @t951)) % 234.06/234.31 (define @t957 () (or @t314 @t956)) % 234.06/234.31 (define @t958 () (forall @t7 (or @t367 @t67))) % 234.06/234.31 (define @t959 () (tptp.ssList @t715)) % 234.06/234.31 (define @t960 () (or @t727 @t943 @t959)) % 234.06/234.31 (define @t961 () (tptp.ssList @t716)) % 234.06/234.31 (define @t962 () (not @t959)) % 234.06/234.31 (define @t963 () (or @t962 @t725 @t961)) % 234.06/234.31 (define @t964 () (= @t717 @t945)) % 234.06/234.31 (define @t965 () (not @t946)) % 234.06/234.31 (define @t966 () (not @t961)) % 234.06/234.31 (define @t967 () (or @t966 @t965 @t721 @t964)) % 234.06/234.31 (define @t968 () (not @t743)) % 234.06/234.31 (define @t969 () (@var "BOUND_VARIABLE_10915" $$unsorted)) % 234.06/234.31 (define @t970 () (tptp.lt @t2 @t969)) % 234.06/234.31 (define @t971 () (= @t2 @t969)) % 234.06/234.31 (define @t972 () (not (tptp.leq @t2 @t969))) % 234.06/234.31 (define @t973 () (not (tptp.ssItem @t969))) % 234.06/234.31 (define @t974 () (or @t227 @t973 @t972 @t971 @t970)) % 234.06/234.31 (define @t975 () (or @t973 @t972 @t971 @t970)) % 234.06/234.31 (define @t976 () (or @t227 @t975)) % 234.06/234.31 (define @t977 () (@list @t2 @t969)) % 234.06/234.31 (define @t978 () (forall @t977 @t976)) % 234.06/234.31 (define @t979 () (@list @t969)) % 234.06/234.31 (define @t980 () (forall @t979 @t976)) % 234.06/234.31 (define @t981 () (forall @t979 @t975)) % 234.06/234.31 (define @t982 () (or @t227 @t981)) % 234.06/234.31 (define @t983 () (not @t82)) % 234.06/234.31 (define @t984 () (or @t236 @t983 @t3 @t86)) % 234.06/234.31 (define @t985 () (forall @t7 @t984)) % 234.06/234.31 (define @t986 () (or @t983 @t3 @t86)) % 234.06/234.31 (define @t987 () (tptp.lt @t291 @t292)) % 234.06/234.31 (define @t988 () (or @t730 @t732 @t729 (= @t291 @t292) @t987)) % 234.06/234.31 (define @t989 () (forall @t977 @t974)) % 234.06/234.31 (define @t990 () (@list @t291 @t292)) % 234.06/234.31 (define @t991 () (or @t730 @t732 @t729 @t740 @t987)) % 234.06/234.31 (define @t992 () (@var "BOUND_VARIABLE_9641" $$unsorted)) % 234.06/234.31 (define @t993 () (not (tptp.lt @t992 @t2))) % 234.06/234.31 (define @t994 () (not (tptp.lt @t2 @t992))) % 234.06/234.31 (define @t995 () (not (tptp.ssItem @t992))) % 234.06/234.31 (define @t996 () (or @t995 @t994 @t993)) % 234.06/234.31 (define @t997 () (or @t227 @t996)) % 234.06/234.31 (define @t998 () (forall (@list @t2 @t992) @t997)) % 234.06/234.31 (define @t999 () (@list @t992)) % 234.06/234.31 (define @t1000 () (forall @t999 @t997)) % 234.06/234.31 (define @t1001 () (forall @t999 @t996)) % 234.06/234.31 (define @t1002 () (or @t227 @t1001)) % 234.06/234.31 (define @t1003 () (not @t86)) % 234.06/234.31 (define @t1004 () (or @t236 @t1003 @t85)) % 234.06/234.31 (define @t1005 () (forall @t7 @t1004)) % 234.06/234.31 (define @t1006 () (not @t987)) % 234.06/234.31 (define @t1007 () (or @t730 @t732 @t1006 @t968)) % 234.06/234.31 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 234.06/234.31 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 234.06/234.31 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 234.06/234.31 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 234.06/234.31 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 234.06/234.31 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 234.06/234.31 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 234.06/234.31 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not (and @t26 @t25))))))))))))))))) % 234.06/234.31 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t26 @t25)))))))))))))))) % 234.06/234.31 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t37 (tptp.lt @t12 @t1))))))))))))))))) % 234.06/234.31 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 @t26))))))))))))))) % 234.06/234.31 (assume @p12 @t52) % 234.06/234.31 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not @t53)))))))))))))))) % 234.06/234.31 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t53))))))))))))) % 234.06/234.31 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 234.06/234.31 (assume @p16 @t58) % 234.06/234.31 (assume @p17 @t59) % 234.06/234.31 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t54 @t2))))))) % 234.06/234.31 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t60))))))))))) % 234.06/234.31 (assume @p20 (forall @t9 (=> @t17 (or @t62 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t61 @t2))))))))) % 234.06/234.31 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 234.06/234.31 (assume @p22 (forall @t9 (=> @t17 (=> @t64 (tptp.ssItem @t63))))) % 234.06/234.31 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 234.06/234.31 (assume @p24 (forall @t9 (=> @t17 (=> @t64 (tptp.ssList @t65))))) % 234.06/234.31 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t54) @t2)))))) % 234.06/234.31 (assume @p26 @t70) % 234.06/234.31 (assume @p27 @t77) % 234.06/234.31 (assume @p28 @t80) % 234.06/234.31 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t82 @t81) @t3)))))) % 234.06/234.31 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t26) (tptp.leq @t2 @t12))))))))) % 234.06/234.31 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 234.06/234.31 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t83 @t81)))))) % 234.06/234.31 (assume @p33 @t90) % 234.06/234.31 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t86 @t37) @t91)))))))) % 234.06/234.31 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t92 @t84)))))) % 234.06/234.31 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t93))))))))) % 234.06/234.31 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t93))))))))) % 234.06/234.31 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 234.06/234.31 (assume @p39 (not (tptp.singletonP tptp.nil))) % 234.06/234.31 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 234.06/234.31 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 234.06/234.31 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 234.06/234.31 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 234.06/234.31 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 234.06/234.31 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 234.06/234.31 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t62)))) % 234.06/234.31 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 234.06/234.31 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 234.06/234.31 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 234.06/234.31 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t94 @t1))))))))) % 234.06/234.31 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 234.06/234.31 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t62)))) % 234.06/234.31 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 234.06/234.31 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 234.06/234.31 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 234.06/234.31 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t94 @t10) @t1))))))))))) % 234.06/234.31 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 234.06/234.31 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t62)))) % 234.06/234.31 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t95)))) % 234.06/234.31 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 234.06/234.31 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t95)))) % 234.06/234.31 (assume @p62 (tptp.totalorderP tptp.nil)) % 234.06/234.31 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t95)))) % 234.06/234.31 (assume @p64 (tptp.strictorderP tptp.nil)) % 234.06/234.31 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t95)))) % 234.06/234.31 (assume @p66 (tptp.totalorderedP tptp.nil)) % 234.06/234.31 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t99) (or @t97 (and @t98 (tptp.totalorderedP @t1) (tptp.leq @t2 @t96))))))))) % 234.06/234.31 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t95)))) % 234.06/234.31 (assume @p69 (tptp.strictorderedP tptp.nil)) % 234.06/234.31 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t99) (or @t97 (and @t98 (tptp.strictorderedP @t1) (tptp.lt @t2 @t96))))))))) % 234.06/234.31 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t95)))) % 234.06/234.31 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 234.06/234.31 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t95)))) % 234.06/234.31 (assume @p74 (tptp.equalelemsP tptp.nil)) % 234.06/234.31 (assume @p75 (forall @t9 (=> @t17 (=> @t64 (exists @t7 (and @t6 (= @t63 @t1))))))) % 234.06/234.31 (assume @p76 (forall @t9 (=> @t17 (=> @t64 (exists @t7 (and @t21 (= @t65 @t1))))))) % 234.06/234.31 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t98 @t64 (= @t96 @t63) (= (tptp.tl @t1) @t65)) @t60)))))) % 234.06/234.31 (assume @p78 (forall @t9 (=> @t17 (=> @t64 (= (tptp.cons @t63 @t65) @t2))))) % 234.06/234.31 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t66) @t100)))))))) % 234.06/234.31 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t71) @t100)))))))) % 234.06/234.31 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 234.06/234.31 (assume @p82 @t106) % 234.06/234.31 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t66) (and @t97 @t62))))))) % 234.06/234.31 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 234.06/234.31 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t64 (= (tptp.hd @t66) @t63))))))) % 234.06/234.31 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t64 (= (tptp.tl @t66) (tptp.app @t65 @t1)))))))) % 234.06/234.31 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t83 (tptp.geq @t1 @t2)) @t3)))))) % 234.06/234.31 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t83 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 234.06/234.31 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 234.06/234.31 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 234.06/234.31 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t37) @t91)))))))) % 234.06/234.31 (assume @p92 @t111) % 234.06/234.31 (assume @p93 @t115) % 234.06/234.31 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t92 (not (tptp.gt @t1 @t2)))))))) % 234.06/234.31 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t92 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 234.06/234.31 (assume @p96 @t223) % 234.06/234.31 (assume @p97 true) % 234.06/234.31 (step @p98 :rule aci_norm :args ((= @t229 (or @t227 @t226 @t225)))) % 234.06/234.31 (step @p99 :rule cong :premises (@p98) :args (@t230)) % 234.06/234.31 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t232) @t230))) % 234.06/234.31 (step @p101 :rule alpha_equiv :args (@t233 (@list @t224) @t234)) % 234.06/234.31 (step @p102 :rule refl :args (@t227)) % 234.06/234.31 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t235)) % 234.06/234.31 (step @p104 :rule quant-miniscope-or :args ((= @t232 @t235))) % 234.06/234.31 (step @p105 :rule trans :premises (@p104 @p103)) % 234.06/234.31 (step @p106 :rule symm :premises (@p105)) % 234.06/234.31 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t227 @t237)))) % 234.06/234.31 (step @p108 :rule trans :premises (@p107 @p100)) % 234.06/234.31 (step @p109 :rule trans :premises (@p108 @p99)) % 234.06/234.31 (step @p110 :rule bool-impl-elim :args (@t8 @t237)) % 234.06/234.31 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t8 @t237)))) % 234.06/234.31 (step @p112 :rule trans :premises (@p111 @p109)) % 234.06/234.31 (step @p113 :rule bool-impl-elim :args (@t6 @t112)) % 234.06/234.31 (step @p114 :rule cong :premises (@p113) :args (@t113)) % 234.06/234.31 (step @p115 :rule refl :args (@t8)) % 234.06/234.31 (step @p116 :rule cong :premises (@p115 @p114) :args (@t114)) % 234.06/234.31 (step @p117 :rule cong :premises (@p116) :args (@t115)) % 234.06/234.31 (step @p118 :rule trans :premises (@p117 @p112)) % 234.06/234.31 (step @p119 :rule eq_resolve :premises (@p93 @p118)) % 234.06/234.31 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t292 @t291))) % 234.06/234.31 (step @p121 :rule aci_norm :args ((= (or @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t278 false @t277 @t276 @t273 @t272 @t258 @t257) @t288))) % 234.06/234.31 (step @p122 :rule refl :args (@t241)) % 234.06/234.31 (step @p123 :rule refl :args (@t242)) % 234.06/234.31 (step @p124 :rule eq-symm :args (@t248 @t251)) % 234.06/234.31 (step @p125 :rule cong :premises (@p124) :args (@t293)) % 234.06/234.31 (step @p126 :rule refl :args (@t252)) % 234.06/234.31 (step @p127 :rule refl :args (@t253)) % 234.06/234.31 (step @p128 :rule refl :args (@t254)) % 234.06/234.31 (step @p129 :rule refl :args (@t255)) % 234.06/234.31 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p126 @p125 @p123 @p122) :args (@t294)) % 234.06/234.31 (step @p131 :rule cong :premises (@p130) :args (@t295)) % 234.06/234.31 (step @p132 :rule cong :premises (@p131) :args (@t296)) % 234.06/234.31 (step @p133 :rule refl :args (@t258)) % 234.06/234.31 (step @p134 :rule refl :args (@t262)) % 234.06/234.31 (step @p135 :rule refl :args (@t263)) % 234.06/234.31 (step @p136 :rule eq-symm :args (@t248 @t266)) % 234.06/234.31 (step @p137 :rule cong :premises (@p136) :args (@t297)) % 234.06/234.31 (step @p138 :rule refl :args (@t267)) % 234.06/234.31 (step @p139 :rule refl :args (@t268)) % 234.06/234.31 (step @p140 :rule refl :args (@t269)) % 234.06/234.31 (step @p141 :rule refl :args (@t270)) % 234.06/234.31 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139 @p138 @p137 @p135 @p134) :args (@t298)) % 234.06/234.31 (step @p143 :rule cong :premises (@p142) :args (@t299)) % 234.06/234.31 (step @p144 :rule cong :premises (@p143) :args (@t300)) % 234.06/234.31 (step @p145 :rule refl :args (@t273)) % 234.06/234.31 (step @p146 :rule eq-symm :args (@t248 tptp.nil)) % 234.06/234.31 (step @p147 :rule refl :args (@t275)) % 234.06/234.31 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nary_cong :premises (@p966 @p967 @p1225 @p1224 @p1223) :args (@t988)) % 234.06/234.32 (step @p1227 :rule refl :args (@t989)) % 234.06/234.32 (step @p1228 :rule cong :premises (@p1227 @p1226) :args ((=> @t989 @t988))) % 234.06/234.32 (assume-push @p1285 @t989) % 234.06/234.32 (step @p1230 :rule instantiate :premises (@p1222) :args (@t990)) % 234.06/234.32 (step-pop @p1286 :rule scope :premises (@p1230)) % 234.06/234.32 (step @p1231 :rule process_scope :premises (@p1286) :args (@t988)) % 234.06/234.32 (step @p1233 :rule eq_resolve :premises (@p1231 @p1228)) % 234.06/234.32 (step @p1234 :rule implies_elim :premises (@p1233)) % 234.06/234.32 (step @p1235 :rule chain_m_resolution :premises (@p1234 @p1222) :args (@t991 @t844 (@list @t989))) % 234.06/234.32 (step @p1236 :rule aci_norm :args ((= @t997 (or @t227 @t995 @t994 @t993)))) % 234.06/234.32 (step @p1237 :rule cong :premises (@p1236) :args (@t998)) % 234.06/234.32 (step @p1238 :rule quant-merge-prenex :args ((= (forall @t9 @t1000) @t998))) % 234.06/234.32 (step @p1239 :rule alpha_equiv :args (@t1001 (@list @t992) @t234)) % 234.06/234.32 (step @p1240 :rule nary_cong :premises (@p102 @p1239) :args (@t1002)) % 234.06/234.32 (step @p1241 :rule quant-miniscope-or :args ((= @t1000 @t1002))) % 234.06/234.32 (step @p1242 :rule trans :premises (@p1241 @p1240)) % 234.06/234.32 (step @p1243 :rule symm :premises (@p1242)) % 234.06/234.32 (step @p1244 :rule cong :premises (@p1243) :args ((forall @t9 (or @t227 @t1005)))) % 234.06/234.32 (step @p1245 :rule trans :premises (@p1244 @p1238)) % 234.06/234.32 (step @p1246 :rule trans :premises (@p1245 @p1237)) % 234.06/234.32 (step @p1247 :rule bool-impl-elim :args (@t8 @t1005)) % 234.06/234.32 (step @p1248 :rule cong :premises (@p1247) :args ((forall @t9 (=> @t8 @t1005)))) % 234.06/234.32 (step @p1249 :rule trans :premises (@p1248 @p1246)) % 234.06/234.32 (step @p1250 :rule aci_norm :args ((= (or @t236 (or @t1003 @t85)) @t1004))) % 234.06/234.32 (step @p1251 :rule bool-impl-elim :args (@t86 @t85)) % 234.06/234.32 (step @p1252 :rule nary_cong :premises (@p805 @p1251) :args ((or @t236 @t87))) % 234.06/234.32 (step @p1253 :rule trans :premises (@p1252 @p1250)) % 234.06/234.32 (step @p1254 :rule bool-impl-elim :args (@t6 @t87)) % 234.06/234.32 (step @p1255 :rule trans :premises (@p1254 @p1253)) % 234.06/234.32 (step @p1256 :rule cong :premises (@p1255) :args (@t88)) % 234.06/234.32 (step @p1257 :rule cong :premises (@p115 @p1256) :args (@t89)) % 234.06/234.32 (step @p1258 :rule cong :premises (@p1257) :args (@t90)) % 234.06/234.32 (step @p1259 :rule trans :premises (@p1258 @p1249)) % 234.06/234.32 (step @p1260 :rule eq_resolve :premises (@p33 @p1259)) % 234.06/234.32 (step @p1261 :rule instantiate :premises (@p1260) :args (@t990)) % 234.06/234.32 (step @p1262 :rule cnf_or_pos :args (@t1007)) % 234.06/234.32 (step @p1263 :rule reordering :premises (@p1262) :args ((or @t732 @t730 @t1006 @t968 (not @t1007)))) % 234.06/234.32 (step @p1264 :rule chain_m_resolution :premises (@p1263 @p795 @p789 @p1192 @p1261) :args (@t1006 @t893 (@list @t731 @t708 @t743 @t1007))) % 234.06/234.32 (step @p1265 :rule bool-double-not-elim :args (@t728)) % 234.06/234.32 (step @p1266 :rule nary_cong :premises (@p784 @p1265) :args ((or @t737 (not @t729)))) % 234.06/234.32 (step @p1267 :rule cnf_or_neg :args (@t737 4)) % 234.06/234.32 (step @p1268 :rule eq_resolve :premises (@p1267 @p1266)) % 234.06/234.32 (step @p1269 :rule reordering :premises (@p1268) :args ((or @t728 @t737))) % 234.06/234.32 (step @p1270 :rule chain_m_resolution :premises (@p1269 @p782) :args (@t728 @t738 @t739)) % 234.06/234.32 (step @p1271 :rule cnf_or_pos :args (@t991)) % 234.06/234.32 (step @p1272 :rule reordering :premises (@p1271) :args ((or @t732 @t730 @t729 @t740 @t987 (not @t991)))) % 234.06/234.32 (step @p1273 :rule chain_m_resolution :premises (@p1272 @p795 @p789 @p1270 @p1264 @p1235) :args (@t740 (@list false false false true false) (@list @t731 @t708 @t728 @t987 @t991))) % 234.06/234.32 (step @p1274 :rule cnf_and_pos :args (@t742 0)) % 234.06/234.32 (step @p1275 :rule reordering :premises (@p1274) :args ((or @t741 (not @t742)))) % 234.06/234.32 (step @p1276 false :rule chain_m_resolution :premises (@p1275 @p1273 @p1195) :args (false @t845 (@list @t740 @t742))) % 234.06/234.32 ) % 234.06/234.32 % SZS output end Proof % 234.06/234.32 % cvc5 exiting %------------------------------------------------------------------------------