%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC324+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:58:52 AM UTC 2026 % Result : Theorem 53.85s 54.13s % Output : Proof 53.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC324+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.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 19:41:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 53.85/54.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 53.85/54.13 --- Run --no-e-matching --full-saturate-quant at 6... % 53.85/54.13 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 53.85/54.13 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 53.85/54.13 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 53.85/54.13 % SZS status Theorem % 53.85/54.13 % SZS output start Proof % 53.85/54.13 ( % 53.85/54.13 (declare-sort $$unsorted 0) % 53.85/54.13 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 53.85/54.13 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 53.85/54.13 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 53.85/54.13 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 53.85/54.13 (declare-const tptp.nil $$unsorted) % 53.85/54.13 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.ssList (-> $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 53.85/54.13 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 53.85/54.13 (define @t1 () (@var "V" $$unsorted)) % 53.85/54.13 (define @t2 () (@var "U" $$unsorted)) % 53.85/54.13 (define @t3 () (= @t2 @t1)) % 53.85/54.13 (define @t4 () (not @t3)) % 53.85/54.13 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 53.85/54.13 (define @t6 () (tptp.ssItem @t1)) % 53.85/54.13 (define @t7 () (@list @t1)) % 53.85/54.13 (define @t8 () (tptp.ssItem @t2)) % 53.85/54.13 (define @t9 () (@list @t2)) % 53.85/54.13 (define @t10 () (and @t6 @t4)) % 53.85/54.13 (define @t11 () (exists @t7 @t10)) % 53.85/54.13 (define @t12 () (and @t8 @t11)) % 53.85/54.13 (define @t13 () (exists @t9 @t12)) % 53.85/54.13 (define @t14 () (@var "X" $$unsorted)) % 53.85/54.13 (define @t15 () (tptp.cons @t1 @t14)) % 53.85/54.13 (define @t16 () (@var "W" $$unsorted)) % 53.85/54.13 (define @t17 () (tptp.ssList @t14)) % 53.85/54.13 (define @t18 () (@list @t14)) % 53.85/54.13 (define @t19 () (tptp.ssList @t16)) % 53.85/54.13 (define @t20 () (@list @t16)) % 53.85/54.13 (define @t21 () (tptp.ssList @t2)) % 53.85/54.13 (define @t22 () (tptp.cons @t1 tptp.nil)) % 53.85/54.13 (define @t23 () (tptp.app @t1 @t16)) % 53.85/54.13 (define @t24 () (tptp.frontsegP @t2 @t1)) % 53.85/54.13 (define @t25 () (tptp.ssList @t1)) % 53.85/54.13 (define @t26 () (tptp.app @t16 @t1)) % 53.85/54.13 (define @t27 () (tptp.rearsegP @t2 @t1)) % 53.85/54.13 (define @t28 () (tptp.segmentP @t2 @t1)) % 53.85/54.13 (define @t29 () (tptp.leq @t16 @t1)) % 53.85/54.13 (define @t30 () (tptp.leq @t1 @t16)) % 53.85/54.13 (define @t31 () (@var "Z" $$unsorted)) % 53.85/54.13 (define @t32 () (@var "Y" $$unsorted)) % 53.85/54.13 (define @t33 () (= (tptp.app (tptp.app @t14 (tptp.cons @t1 @t32)) (tptp.cons @t16 @t31)) @t2)) % 53.85/54.13 (define @t34 () (tptp.ssList @t31)) % 53.85/54.13 (define @t35 () (@list @t31)) % 53.85/54.13 (define @t36 () (tptp.ssList @t32)) % 53.95/54.13 (define @t37 () (@list @t32)) % 53.95/54.13 (define @t38 () (tptp.ssItem @t16)) % 53.95/54.13 (define @t39 () (tptp.lt @t1 @t16)) % 53.95/54.13 (define @t40 () (= @t1 @t16)) % 53.95/54.13 (define @t41 () (tptp.cons @t1 @t2)) % 53.95/54.13 (define @t42 () (tptp.ssList @t41)) % 53.95/54.13 (define @t43 () (forall @t7 (=> @t6 @t42))) % 53.95/54.13 (define @t44 () (=> @t21 @t43)) % 53.95/54.13 (define @t45 () (forall @t9 @t44)) % 53.95/54.13 (define @t46 () (tptp.ssList tptp.nil)) % 53.95/54.13 (define @t47 () (= @t1 @t2)) % 53.95/54.13 (define @t48 () (tptp.cons @t16 @t1)) % 53.95/54.13 (define @t49 () (and @t38 (= @t48 @t2))) % 53.95/54.13 (define @t50 () (exists @t20 @t49)) % 53.95/54.13 (define @t51 () (and @t25 @t50)) % 53.95/54.13 (define @t52 () (exists @t7 @t51)) % 53.95/54.13 (define @t53 () (= tptp.nil @t2)) % 53.95/54.13 (define @t54 () (or @t53 @t52)) % 53.95/54.13 (define @t55 () (=> @t21 @t54)) % 53.95/54.13 (define @t56 () (forall @t9 @t55)) % 53.95/54.13 (define @t57 () (tptp.hd @t2)) % 53.95/54.13 (define @t58 () (tptp.ssItem @t57)) % 53.95/54.13 (define @t59 () (not @t53)) % 53.95/54.13 (define @t60 () (=> @t59 @t58)) % 53.95/54.13 (define @t61 () (=> @t21 @t60)) % 53.95/54.13 (define @t62 () (forall @t9 @t61)) % 53.95/54.13 (define @t63 () (tptp.hd @t41)) % 53.95/54.13 (define @t64 () (=> @t6 (= @t63 @t1))) % 53.95/54.13 (define @t65 () (forall @t7 @t64)) % 53.95/54.13 (define @t66 () (=> @t21 @t65)) % 53.95/54.13 (define @t67 () (forall @t9 @t66)) % 53.95/54.13 (define @t68 () (tptp.tl @t2)) % 53.95/54.13 (define @t69 () (tptp.tl @t41)) % 53.95/54.13 (define @t70 () (=> @t6 (= @t69 @t2))) % 53.95/54.13 (define @t71 () (forall @t7 @t70)) % 53.95/54.13 (define @t72 () (=> @t21 @t71)) % 53.95/54.13 (define @t73 () (forall @t9 @t72)) % 53.95/54.13 (define @t74 () (tptp.app @t2 @t1)) % 53.95/54.13 (define @t75 () (tptp.app @t1 @t2)) % 53.95/54.13 (define @t76 () (tptp.app tptp.nil @t2)) % 53.95/54.13 (define @t77 () (=> @t21 (= @t76 @t2))) % 53.95/54.13 (define @t78 () (forall @t9 @t77)) % 53.95/54.13 (define @t79 () (tptp.leq @t1 @t2)) % 53.95/54.13 (define @t80 () (tptp.leq @t2 @t1)) % 53.95/54.13 (define @t81 () (tptp.geq @t2 @t1)) % 53.95/54.13 (define @t82 () (tptp.lt @t1 @t2)) % 53.95/54.13 (define @t83 () (tptp.lt @t2 @t1)) % 53.95/54.13 (define @t84 () (tptp.lt @t2 @t16)) % 53.95/54.13 (define @t85 () (tptp.gt @t2 @t1)) % 53.95/54.13 (define @t86 () (tptp.memberP @t16 @t2)) % 53.95/54.13 (define @t87 () (tptp.app @t16 @t2)) % 53.95/54.13 (define @t88 () (tptp.cons @t2 tptp.nil)) % 53.95/54.13 (define @t89 () (tptp.hd @t1)) % 53.95/54.13 (define @t90 () (= tptp.nil @t1)) % 53.95/54.13 (define @t91 () (not @t90)) % 53.95/54.13 (define @t92 () (tptp.cons @t2 @t1)) % 53.95/54.13 (define @t93 () (tptp.cons @t57 @t68)) % 53.95/54.13 (define @t94 () (=> @t59 (= @t93 @t2))) % 53.95/54.13 (define @t95 () (=> @t21 @t94)) % 53.95/54.13 (define @t96 () (forall @t9 @t95)) % 53.95/54.13 (define @t97 () (= @t16 @t2)) % 53.95/54.13 (define @t98 () (= @t23 @t75)) % 53.95/54.13 (define @t99 () (=> @t98 @t97)) % 53.95/54.13 (define @t100 () (=> @t19 @t99)) % 53.95/54.13 (define @t101 () (forall @t20 @t100)) % 53.95/54.13 (define @t102 () (=> @t25 @t101)) % 53.95/54.13 (define @t103 () (forall @t7 @t102)) % 53.95/54.13 (define @t104 () (=> @t21 @t103)) % 53.95/54.13 (define @t105 () (forall @t9 @t104)) % 53.95/54.13 (define @t106 () (= @t41 (tptp.app @t22 @t2))) % 53.95/54.13 (define @t107 () (forall @t7 (=> @t6 @t106))) % 53.95/54.13 (define @t108 () (=> @t21 @t107)) % 53.95/54.13 (define @t109 () (forall @t9 @t108)) % 53.95/54.13 (define @t110 () (= (tptp.app @t74 @t16) (tptp.app @t2 @t23))) % 53.95/54.13 (define @t111 () (forall @t20 (=> @t19 @t110))) % 53.95/54.13 (define @t112 () (=> @t25 @t111)) % 53.95/54.13 (define @t113 () (forall @t7 @t112)) % 53.95/54.13 (define @t114 () (=> @t21 @t113)) % 53.95/54.13 (define @t115 () (forall @t9 @t114)) % 53.95/54.13 (define @t116 () (and @t90 @t53)) % 53.95/54.13 (define @t117 () (= tptp.nil @t74)) % 53.95/54.13 (define @t118 () (= @t117 @t116)) % 53.95/54.13 (define @t119 () (=> @t25 @t118)) % 53.95/54.13 (define @t120 () (forall @t7 @t119)) % 53.95/54.13 (define @t121 () (=> @t21 @t120)) % 53.95/54.13 (define @t122 () (forall @t9 @t121)) % 53.95/54.13 (define @t123 () (tptp.app @t2 tptp.nil)) % 53.95/54.13 (define @t124 () (=> @t21 (= @t123 @t2))) % 53.95/54.13 (define @t125 () (forall @t9 @t124)) % 53.95/54.13 (define @t126 () (= (tptp.tl @t74) (tptp.app @t68 @t1))) % 53.95/54.13 (define @t127 () (=> @t59 @t126)) % 53.95/54.13 (define @t128 () (=> @t25 @t127)) % 53.95/54.13 (define @t129 () (forall @t7 @t128)) % 53.95/54.13 (define @t130 () (=> @t21 @t129)) % 53.95/54.13 (define @t131 () (forall @t9 @t130)) % 53.95/54.13 (define @t132 () (not (= tptp.nil @t16))) % 53.95/54.13 (define @t133 () (and @t132 (= tptp.nil @t14))) % 53.95/54.13 (define @t134 () (@var "X2" $$unsorted)) % 53.95/54.13 (define @t135 () (@var "X1" $$unsorted)) % 53.95/54.13 (define @t136 () (tptp.cons @t135 tptp.nil)) % 53.95/54.13 (define @t137 () (tptp.app @t136 @t134)) % 53.95/54.13 (define @t138 () (tptp.app @t134 @t136)) % 53.95/54.13 (define @t139 () (not (= @t138 @t16))) % 53.95/54.13 (define @t140 () (tptp.ssList @t134)) % 53.95/54.13 (define @t141 () (and @t140 @t139 (= @t137 @t14))) % 53.95/54.13 (define @t142 () (@list @t134)) % 53.95/54.13 (define @t143 () (exists @t142 @t141)) % 53.95/54.13 (define @t144 () (tptp.ssItem @t135)) % 53.95/54.13 (define @t145 () (and @t144 @t143)) % 53.95/54.13 (define @t146 () (@list @t135)) % 53.95/54.13 (define @t147 () (exists @t146 @t145)) % 53.95/54.13 (define @t148 () (tptp.app @t31 @t32)) % 53.95/54.13 (define @t149 () (tptp.app @t32 @t31)) % 53.95/54.13 (define @t150 () (and @t34 (= @t149 @t1) (= @t148 @t2))) % 53.95/54.13 (define @t151 () (exists @t35 @t150)) % 53.95/54.13 (define @t152 () (and @t36 @t151)) % 53.95/54.13 (define @t153 () (exists @t37 @t152)) % 53.95/54.13 (define @t154 () (= @t2 @t16)) % 53.95/54.13 (define @t155 () (not @t154)) % 53.95/54.13 (define @t156 () (not (= @t1 @t14))) % 53.95/54.13 (define @t157 () (not @t17)) % 53.95/54.13 (define @t158 () (or @t157 @t156 @t155 @t153 @t147 @t133)) % 53.95/54.13 (define @t159 () (forall @t18 @t158)) % 53.95/54.13 (define @t160 () (=> @t19 @t159)) % 53.95/54.13 (define @t161 () (forall @t20 @t160)) % 53.95/54.13 (define @t162 () (=> @t25 @t161)) % 53.95/54.13 (define @t163 () (forall @t7 @t162)) % 53.95/54.13 (define @t164 () (=> @t21 @t163)) % 53.95/54.13 (define @t165 () (forall @t9 @t164)) % 53.95/54.13 (define @t166 () (not @t165)) % 53.95/54.13 (define @t167 () (@var "BOUND_VARIABLE_11059" $$unsorted)) % 53.95/54.13 (define @t168 () (= @t2 tptp.nil)) % 53.95/54.13 (define @t169 () (not @t168)) % 53.95/54.13 (define @t170 () (and @t169 (= @t167 tptp.nil))) % 53.95/54.13 (define @t171 () (@var "BOUND_VARIABLE_10994" $$unsorted)) % 53.95/54.13 (define @t172 () (tptp.app @t136 @t171)) % 53.95/54.13 (define @t173 () (not (= @t167 @t172))) % 53.95/54.13 (define @t174 () (tptp.app @t171 @t136)) % 53.95/54.13 (define @t175 () (= @t2 @t174)) % 53.95/54.13 (define @t176 () (not (tptp.ssList @t171))) % 53.95/54.13 (define @t177 () (not @t144)) % 53.95/54.13 (define @t178 () (or @t177 @t176 @t175 @t173)) % 53.95/54.13 (define @t179 () (@list @t135 @t171)) % 53.95/54.13 (define @t180 () (forall @t179 @t178)) % 53.95/54.13 (define @t181 () (not @t180)) % 53.95/54.13 (define @t182 () (@var "BOUND_VARIABLE_10956" $$unsorted)) % 53.95/54.13 (define @t183 () (tptp.app @t182 @t32)) % 53.95/54.13 (define @t184 () (not (= @t2 @t183))) % 53.95/54.13 (define @t185 () (tptp.app @t32 @t182)) % 53.95/54.13 (define @t186 () (not (= @t167 @t185))) % 53.95/54.13 (define @t187 () (not (tptp.ssList @t182))) % 53.95/54.13 (define @t188 () (not @t36)) % 53.95/54.13 (define @t189 () (or @t188 @t187 @t186 @t184)) % 53.95/54.13 (define @t190 () (@list @t32 @t182)) % 53.95/54.13 (define @t191 () (forall @t190 @t189)) % 53.95/54.13 (define @t192 () (not @t191)) % 53.95/54.13 (define @t193 () (not (tptp.ssList @t167))) % 53.95/54.13 (define @t194 () (not @t21)) % 53.95/54.13 (define @t195 () (or @t194 @t193 @t192 @t181 @t170)) % 53.95/54.13 (define @t196 () (or @t193 @t192 @t181 @t170)) % 53.95/54.13 (define @t197 () (or @t194 @t196)) % 53.95/54.13 (define @t198 () (@list @t2 @t167)) % 53.95/54.13 (define @t199 () (forall @t198 @t197)) % 53.95/54.13 (define @t200 () (@list @t167)) % 53.95/54.13 (define @t201 () (forall @t200 @t197)) % 53.95/54.13 (define @t202 () (forall @t200 @t196)) % 53.95/54.13 (define @t203 () (@list @t1)) % 53.95/54.13 (define @t204 () (or @t194 @t202)) % 53.95/54.13 (define @t205 () (= @t1 tptp.nil)) % 53.95/54.13 (define @t206 () (and @t169 @t205)) % 53.95/54.13 (define @t207 () (not (= @t1 @t172))) % 53.95/54.13 (define @t208 () (not (forall @t179 (or @t177 @t176 @t175 @t207)))) % 53.95/54.13 (define @t209 () (not (= @t1 @t185))) % 53.95/54.13 (define @t210 () (or @t188 @t187 @t209 @t184)) % 53.95/54.13 (define @t211 () (not (forall @t190 @t210))) % 53.95/54.13 (define @t212 () (not @t25)) % 53.95/54.13 (define @t213 () (or @t212 @t211 @t208 @t206)) % 53.95/54.13 (define @t214 () (or @t194 (forall @t7 @t213))) % 53.95/54.13 (define @t215 () (or @t194 @t213)) % 53.95/54.13 (define @t216 () (or @t212 @t211 @t194 @t208 @t206)) % 53.95/54.13 (define @t217 () (or @t211 @t212 @t194 @t208 @t206)) % 53.95/54.13 (define @t218 () (or @t194 @t208 @t206)) % 53.95/54.13 (define @t219 () (not (= @t2 @t2))) % 53.95/54.13 (define @t220 () (or @t194 @t219 @t208 @t206)) % 53.95/54.13 (define @t221 () (not (= @t16 tptp.nil))) % 53.95/54.13 (define @t222 () (and @t221 @t205)) % 53.95/54.13 (define @t223 () (= @t16 @t174)) % 53.95/54.13 (define @t224 () (not (forall @t179 (or @t177 @t176 @t223 @t207)))) % 53.95/54.13 (define @t225 () (not @t19)) % 53.95/54.13 (define @t226 () (or @t155 @t225 @t155 @t224 @t222)) % 53.95/54.13 (define @t227 () (or @t225 @t155 @t224 @t222)) % 53.95/54.13 (define @t228 () (forall @t20 @t227)) % 53.95/54.13 (define @t229 () (or @t211 @t212 @t228)) % 53.95/54.13 (define @t230 () (or @t211 @t212 @t227)) % 53.95/54.13 (define @t231 () (or @t225 @t155 @t211 @t212 @t224 @t222)) % 53.95/54.13 (define @t232 () (or @t155 @t211 @t212 @t224 @t222)) % 53.95/54.13 (define @t233 () (or @t212 @t224 @t222)) % 53.95/54.13 (define @t234 () (not (= @t1 @t1))) % 53.95/54.13 (define @t235 () (or @t212 @t234 @t224 @t222)) % 53.95/54.13 (define @t236 () (and @t221 (= @t14 tptp.nil))) % 53.95/54.13 (define @t237 () (not (= @t14 @t172))) % 53.95/54.13 (define @t238 () (or @t177 @t176 @t223 @t237)) % 53.95/54.13 (define @t239 () (not (forall @t179 @t238))) % 53.95/54.13 (define @t240 () (or @t156 @t157 @t156 @t239 @t236)) % 53.95/54.13 (define @t241 () (or @t157 @t156 @t239 @t236)) % 53.95/54.13 (define @t242 () (forall @t18 @t241)) % 53.95/54.13 (define @t243 () (or @t155 @t211 @t242)) % 53.95/54.13 (define @t244 () (or @t155 @t211 @t241)) % 53.95/54.13 (define @t245 () (or @t157 @t156 @t155 @t211 @t239 @t236)) % 53.95/54.13 (define @t246 () (or @t176 @t223 @t237)) % 53.95/54.13 (define @t247 () (or @t177 @t246)) % 53.95/54.13 (define @t248 () (forall @t179 @t247)) % 53.95/54.13 (define @t249 () (@list @t171)) % 53.95/54.13 (define @t250 () (forall @t249 @t247)) % 53.95/54.13 (define @t251 () (forall @t249 @t246)) % 53.95/54.13 (define @t252 () (or @t177 @t251)) % 53.95/54.13 (define @t253 () (= @t14 @t137)) % 53.95/54.13 (define @t254 () (not @t253)) % 53.95/54.13 (define @t255 () (= @t16 @t138)) % 53.95/54.13 (define @t256 () (not @t140)) % 53.95/54.13 (define @t257 () (forall @t142 (or @t256 @t255 @t254))) % 53.95/54.13 (define @t258 () (not @t257)) % 53.95/54.13 (define @t259 () (and @t144 @t258)) % 53.95/54.13 (define @t260 () (forall @t146 (not @t259))) % 53.95/54.13 (define @t261 () (not @t260)) % 53.95/54.13 (define @t262 () (not @t255)) % 53.95/54.13 (define @t263 () (not @t262)) % 53.95/54.13 (define @t264 () (or @t256 @t263 @t254)) % 53.95/54.13 (define @t265 () (and @t140 @t262 @t253)) % 53.95/54.13 (define @t266 () (forall @t142 (not @t265))) % 53.95/54.13 (define @t267 () (not @t266)) % 53.95/54.13 (define @t268 () (or @t187 @t209 @t184)) % 53.95/54.13 (define @t269 () (or @t188 @t268)) % 53.95/54.13 (define @t270 () (forall @t190 @t269)) % 53.95/54.13 (define @t271 () (@list @t182)) % 53.95/54.13 (define @t272 () (forall @t271 @t269)) % 53.95/54.13 (define @t273 () (forall @t271 @t268)) % 53.95/54.13 (define @t274 () (or @t188 @t273)) % 53.95/54.13 (define @t275 () (= @t2 @t148)) % 53.95/54.13 (define @t276 () (not @t275)) % 53.95/54.13 (define @t277 () (= @t1 @t149)) % 53.95/54.13 (define @t278 () (not @t277)) % 53.95/54.13 (define @t279 () (not @t34)) % 53.95/54.13 (define @t280 () (or @t279 @t278 @t276)) % 53.95/54.13 (define @t281 () (forall @t35 @t280)) % 53.95/54.13 (define @t282 () (not @t281)) % 53.95/54.13 (define @t283 () (and @t36 @t282)) % 53.95/54.13 (define @t284 () (forall @t37 (not @t283))) % 53.95/54.13 (define @t285 () (not @t284)) % 53.95/54.13 (define @t286 () (and @t34 @t277 @t275)) % 53.95/54.13 (define @t287 () (forall @t35 (not @t286))) % 53.95/54.13 (define @t288 () (not @t287)) % 53.95/54.13 (define @t289 () (forall @t198 (or @t194 @t193 (not (forall @t190 (or @t188 @t187 (not (= @t185 @t167)) @t184))) (not (forall @t179 (or @t177 @t176 @t175 (not (= @t172 @t167))))) (and @t169 (= tptp.nil @t167))))) % 53.95/54.13 (define @t290 () (@quantifiers_skolemize @t289 1)) % 53.95/54.13 (define @t291 () (= tptp.nil @t290)) % 53.95/54.13 (define @t292 () (@quantifiers_skolemize @t289 0)) % 53.95/54.13 (define @t293 () (= tptp.nil @t292)) % 53.95/54.13 (define @t294 () (not @t293)) % 53.95/54.13 (define @t295 () (and @t294 @t291)) % 53.95/54.13 (define @t296 () (not (= @t172 @t290))) % 53.95/54.13 (define @t297 () (forall @t179 (or @t177 @t176 (= @t174 @t292) @t296))) % 53.95/54.13 (define @t298 () (not @t297)) % 53.95/54.13 (define @t299 () (not (= @t185 @t290))) % 53.95/54.13 (define @t300 () (forall @t190 (or @t188 @t187 @t299 (not (= @t183 @t292))))) % 53.95/54.13 (define @t301 () (not @t300)) % 53.95/54.13 (define @t302 () (tptp.ssList @t290)) % 53.95/54.13 (define @t303 () (not @t302)) % 53.95/54.13 (define @t304 () (not (tptp.ssList @t292))) % 53.95/54.13 (define @t305 () (or @t304 @t303 @t301 @t298 @t295)) % 53.95/54.13 (define @t306 () (not @t305)) % 53.95/54.13 (define @t307 () (not @t289)) % 53.95/54.13 (define @t308 () (not (= @t292 tptp.nil))) % 53.95/54.13 (define @t309 () (and @t308 @t291)) % 53.95/54.13 (define @t310 () (or @t177 @t176 (= @t292 @t174) @t296)) % 53.95/54.13 (define @t311 () (forall @t179 @t310)) % 53.95/54.13 (define @t312 () (not @t311)) % 53.95/54.13 (define @t313 () (not (= @t292 @t183))) % 53.95/54.13 (define @t314 () (or @t188 @t187 @t299 @t313)) % 53.95/54.13 (define @t315 () (forall @t190 @t314)) % 53.95/54.13 (define @t316 () (not @t315)) % 53.95/54.13 (define @t317 () (or @t304 @t303 @t316 @t312 @t309)) % 53.95/54.13 (define @t318 () (not @t317)) % 53.95/54.13 (define @t319 () (@list true)) % 53.95/54.13 (define @t320 () (@list @t305)) % 53.95/54.13 (define @t321 () (@var "BOUND_VARIABLE_9272" $$unsorted)) % 53.95/54.13 (define @t322 () (tptp.cons @t321 @t1)) % 53.95/54.13 (define @t323 () (not (tptp.ssItem @t321))) % 53.95/54.13 (define @t324 () (@list @t1 @t321)) % 53.95/54.13 (define @t325 () (forall @t324 (or @t212 @t323 (not (= @t322 @t290))))) % 53.95/54.13 (define @t326 () (@quantifiers_skolemize @t325 0)) % 53.95/54.13 (define @t327 () (tptp.hd @t290)) % 53.95/54.13 (define @t328 () (tptp.cons @t327 tptp.nil)) % 53.95/54.13 (define @t329 () (tptp.app @t328 @t326)) % 53.95/54.13 (define @t330 () (not (= @t329 @t290))) % 53.95/54.13 (define @t331 () (tptp.app @t326 @t328)) % 53.95/54.13 (define @t332 () (tptp.ssList @t326)) % 53.95/54.13 (define @t333 () (not @t332)) % 53.95/54.13 (define @t334 () (tptp.ssItem @t327)) % 53.95/54.13 (define @t335 () (not @t334)) % 53.95/54.13 (define @t336 () (= @t331 @t292)) % 53.95/54.13 (define @t337 () (or @t335 @t333 @t336 @t330)) % 53.95/54.13 (define @t338 () (= @t290 @t329)) % 53.95/54.13 (define @t339 () (not @t338)) % 53.95/54.13 (define @t340 () (= @t292 @t331)) % 53.95/54.13 (define @t341 () (or @t335 @t333 @t340 @t339)) % 53.95/54.13 (define @t342 () (@list false)) % 53.95/54.13 (define @t343 () (@list @t297)) % 53.95/54.13 (define @t344 () (= @t2 @t93)) % 53.95/54.13 (define @t345 () (or @t194 @t168 @t344)) % 53.95/54.13 (define @t346 () (not @t169)) % 53.95/54.13 (define @t347 () (=> @t169 @t344)) % 53.95/54.13 (define @t348 () (tptp.tl @t290)) % 53.95/54.13 (define @t349 () (tptp.cons @t327 @t348)) % 53.95/54.13 (define @t350 () (= @t290 @t349)) % 53.95/54.13 (define @t351 () (= @t290 tptp.nil)) % 53.95/54.13 (define @t352 () (or @t303 @t351 @t350)) % 53.95/54.13 (define @t353 () (forall @t9 @t345)) % 53.95/54.13 (define @t354 () (@list @t290)) % 53.95/54.13 (define @t355 () (or @t303 @t291 @t350)) % 53.95/54.13 (define @t356 () (= @t2 @t76)) % 53.95/54.13 (define @t357 () (tptp.app tptp.nil tptp.nil)) % 53.95/54.13 (define @t358 () (= tptp.nil @t357)) % 53.95/54.13 (define @t359 () (not @t46)) % 53.95/54.13 (define @t360 () (or @t359 @t358)) % 53.95/54.13 (define @t361 () (@list false false)) % 53.95/54.13 (define @t362 () (= @t292 @t357)) % 53.95/54.13 (define @t363 () (and @t293 @t358)) % 53.95/54.13 (define @t364 () (not @t358)) % 53.95/54.13 (define @t365 () (forall @t9 (or @t194 @t356))) % 53.95/54.13 (define @t366 () (not (= @t357 @t292))) % 53.95/54.13 (define @t367 () (not (= @t357 @t290))) % 53.95/54.13 (define @t368 () (or @t359 @t359 @t367 @t366)) % 53.95/54.13 (define @t369 () (not @t362)) % 53.95/54.13 (define @t370 () (= @t290 @t357)) % 53.95/54.13 (define @t371 () (not @t370)) % 53.95/54.13 (define @t372 () (or @t359 @t359 @t371 @t369)) % 53.95/54.13 (define @t373 () (@var "BOUND_VARIABLE_9359" $$unsorted)) % 53.95/54.13 (define @t374 () (= @t2 (tptp.tl (tptp.cons @t373 @t2)))) % 53.95/54.13 (define @t375 () (not (tptp.ssItem @t373))) % 53.95/54.13 (define @t376 () (or @t194 @t375 @t374)) % 53.95/54.13 (define @t377 () (or @t375 @t374)) % 53.95/54.13 (define @t378 () (or @t194 @t377)) % 53.95/54.13 (define @t379 () (@list @t2 @t373)) % 53.95/54.13 (define @t380 () (forall @t379 @t378)) % 53.95/54.13 (define @t381 () (@list @t373)) % 53.95/54.13 (define @t382 () (forall @t381 @t378)) % 53.95/54.13 (define @t383 () (forall @t381 @t377)) % 53.95/54.13 (define @t384 () (or @t194 @t383)) % 53.95/54.13 (define @t385 () (= @t2 @t69)) % 53.95/54.13 (define @t386 () (not @t6)) % 53.95/54.13 (define @t387 () (forall @t7 (or @t386 @t385))) % 53.95/54.13 (define @t388 () (forall @t379 @t376)) % 53.95/54.13 (define @t389 () (@var "BOUND_VARIABLE_8210" $$unsorted)) % 53.95/54.13 (define @t390 () (= @t2 @t389)) % 53.95/54.13 (define @t391 () (not (tptp.ssItem @t389))) % 53.95/54.13 (define @t392 () (not @t8)) % 53.95/54.13 (define @t393 () (or @t392 @t391 @t390)) % 53.95/54.13 (define @t394 () (@list @t2 @t389)) % 53.95/54.13 (define @t395 () (forall @t394 @t393)) % 53.95/54.13 (define @t396 () (@quantifiers_skolemize @t395 1)) % 53.95/54.13 (define @t397 () (@list @t290 @t396)) % 53.95/54.13 (define @t398 () (= @t290 (tptp.tl (tptp.cons @t396 @t290)))) % 53.95/54.13 (define @t399 () (tptp.ssItem @t396)) % 53.95/54.13 (define @t400 () (not @t399)) % 53.95/54.13 (define @t401 () (or @t303 @t400 @t398)) % 53.95/54.13 (define @t402 () (or @t391 @t390)) % 53.95/54.13 (define @t403 () (or @t392 @t402)) % 53.95/54.13 (define @t404 () (forall @t394 @t403)) % 53.95/54.13 (define @t405 () (@list @t389)) % 53.95/54.13 (define @t406 () (forall @t405 @t403)) % 53.95/54.13 (define @t407 () (forall @t405 @t402)) % 53.95/54.13 (define @t408 () (or @t392 @t407)) % 53.95/54.13 (define @t409 () (forall @t7 (or @t386 @t3))) % 53.95/54.13 (define @t410 () (not @t409)) % 53.95/54.13 (define @t411 () (and @t8 @t410)) % 53.95/54.13 (define @t412 () (forall @t9 (not @t411))) % 53.95/54.13 (define @t413 () (not @t412)) % 53.95/54.13 (define @t414 () (forall @t7 (not @t10))) % 53.95/54.13 (define @t415 () (not @t414)) % 53.95/54.13 (define @t416 () (@quantifiers_skolemize @t395 0)) % 53.95/54.13 (define @t417 () (or (not (tptp.ssItem @t416)) @t400 (= @t416 @t396))) % 53.95/54.13 (define @t418 () (not @t417)) % 53.95/54.13 (define @t419 () (not @t395)) % 53.95/54.13 (define @t420 () (not @t398)) % 53.95/54.13 (define @t421 () (not @t291)) % 53.95/54.13 (define @t422 () (@list @t417)) % 53.95/54.13 (define @t423 () (@list false false false)) % 53.95/54.13 (define @t424 () (@list @t399 @t302 @t401)) % 53.95/54.13 (define @t425 () (and @t398 @t291 @t358 @t371)) % 53.95/54.13 (define @t426 () (forall @t7 (or @t386 (not (= @t22 @t290))))) % 53.95/54.13 (define @t427 () (@quantifiers_skolemize @t426 0)) % 53.95/54.13 (define @t428 () (tptp.ssItem @t427)) % 53.95/54.13 (define @t429 () (tptp.cons @t427 tptp.nil)) % 53.95/54.13 (define @t430 () (= @t290 @t429)) % 53.95/54.13 (define @t431 () (not @t430)) % 53.95/54.13 (define @t432 () (not @t428)) % 53.95/54.13 (define @t433 () (or @t432 @t431)) % 53.95/54.13 (define @t434 () (= @t2 @t123)) % 53.95/54.13 (define @t435 () (tptp.app @t290 tptp.nil)) % 53.95/54.13 (define @t436 () (= @t290 @t435)) % 53.95/54.13 (define @t437 () (or @t303 @t436)) % 53.95/54.13 (define @t438 () (tptp.app @t429 tptp.nil)) % 53.95/54.13 (define @t439 () (= @t290 @t438)) % 53.95/54.13 (define @t440 () (and @t436 @t430)) % 53.95/54.13 (define @t441 () (not (= @t438 @t290))) % 53.95/54.13 (define @t442 () (tptp.app tptp.nil @t429)) % 53.95/54.13 (define @t443 () (or @t432 @t359 (= @t442 @t292) @t441)) % 53.95/54.13 (define @t444 () (not @t439)) % 53.95/54.13 (define @t445 () (= @t292 @t442)) % 53.95/54.13 (define @t446 () (or @t432 @t359 @t445 @t444)) % 53.95/54.13 (define @t447 () (= @t290 (tptp.app tptp.nil @t290))) % 53.95/54.13 (define @t448 () (or @t303 @t447)) % 53.95/54.13 (define @t449 () (and @t293 @t447 @t430 @t445)) % 53.95/54.13 (define @t450 () (not @t433)) % 53.95/54.13 (define @t451 () (not @t426)) % 53.95/54.13 (define @t452 () (not (= @t429 @t290))) % 53.95/54.13 (define @t453 () (or @t432 @t452)) % 53.95/54.13 (define @t454 () (not @t453)) % 53.95/54.13 (define @t455 () (not (= @t328 @t290))) % 53.95/54.13 (define @t456 () (or @t335 @t455)) % 53.95/54.13 (define @t457 () (not (= @t2 @t322))) % 53.95/54.13 (define @t458 () (or @t212 @t323 @t457)) % 53.95/54.13 (define @t459 () (not (forall @t324 @t458))) % 53.95/54.13 (define @t460 () (or @t194 @t168 @t459)) % 53.95/54.13 (define @t461 () (or @t168 @t459)) % 53.95/54.13 (define @t462 () (or @t323 @t457)) % 53.95/54.13 (define @t463 () (or @t212 @t462)) % 53.95/54.13 (define @t464 () (forall @t324 @t463)) % 53.95/54.13 (define @t465 () (@list @t321)) % 53.95/54.13 (define @t466 () (forall @t465 @t463)) % 53.95/54.13 (define @t467 () (forall @t465 @t462)) % 53.95/54.13 (define @t468 () (@list @t16)) % 53.95/54.13 (define @t469 () (or @t212 @t467)) % 53.95/54.13 (define @t470 () (= @t2 @t48)) % 53.95/54.13 (define @t471 () (forall @t20 (or (not @t38) (not @t470)))) % 53.95/54.13 (define @t472 () (not @t471)) % 53.95/54.13 (define @t473 () (and @t25 @t472)) % 53.95/54.13 (define @t474 () (forall @t7 (not @t473))) % 53.95/54.13 (define @t475 () (not @t474)) % 53.95/54.13 (define @t476 () (and @t38 @t470)) % 53.95/54.13 (define @t477 () (forall @t20 (not @t476))) % 53.95/54.13 (define @t478 () (not @t477)) % 53.95/54.13 (define @t479 () (not (= @t290 @t322))) % 53.95/54.13 (define @t480 () (or @t212 @t323 @t479)) % 53.95/54.13 (define @t481 () (forall @t324 @t480)) % 53.95/54.13 (define @t482 () (not @t481)) % 53.95/54.13 (define @t483 () (or @t303 @t351 @t482)) % 53.95/54.13 (define @t484 () (forall @t9 @t460)) % 53.95/54.13 (define @t485 () (not @t325)) % 53.95/54.13 (define @t486 () (or @t303 @t291 @t485)) % 53.95/54.13 (define @t487 () (@list @t484)) % 53.95/54.13 (define @t488 () (or @t194 @t168 @t58)) % 53.95/54.13 (define @t489 () (=> @t169 @t58)) % 53.95/54.13 (define @t490 () (or @t303 @t351 @t334)) % 53.95/54.13 (define @t491 () (forall @t9 @t488)) % 53.95/54.13 (define @t492 () (or @t303 @t291 @t334)) % 53.95/54.13 (define @t493 () (@var "BOUND_VARIABLE_10674" $$unsorted)) % 53.95/54.13 (define @t494 () (= (tptp.tl (tptp.app @t2 @t493)) (tptp.app @t68 @t493))) % 53.95/54.13 (define @t495 () (not (tptp.ssList @t493))) % 53.95/54.13 (define @t496 () (or @t194 @t168 @t495 @t494)) % 53.95/54.13 (define @t497 () (or @t495 @t494)) % 53.95/54.13 (define @t498 () (or @t194 @t168 @t497)) % 53.95/54.13 (define @t499 () (@list @t2 @t493)) % 53.95/54.13 (define @t500 () (forall @t499 @t498)) % 53.95/54.13 (define @t501 () (@list @t493)) % 53.95/54.13 (define @t502 () (forall @t501 @t498)) % 53.95/54.13 (define @t503 () (forall @t501 @t497)) % 53.95/54.13 (define @t504 () (or @t194 @t168 @t503)) % 53.95/54.13 (define @t505 () (or @t212 @t126)) % 53.95/54.13 (define @t506 () (forall @t7 @t505)) % 53.95/54.13 (define @t507 () (or @t194 @t168 @t506)) % 53.95/54.13 (define @t508 () (or @t168 @t506)) % 53.95/54.13 (define @t509 () (or @t168 @t505)) % 53.95/54.13 (define @t510 () (or @t212 @t168 @t126)) % 53.95/54.13 (define @t511 () (=> @t169 @t126)) % 53.95/54.13 (define @t512 () (tptp.app @t348 tptp.nil)) % 53.95/54.13 (define @t513 () (= (tptp.tl @t435) @t512)) % 53.95/54.13 (define @t514 () (or @t303 @t351 @t359 @t513)) % 53.95/54.13 (define @t515 () (forall @t499 @t496)) % 53.95/54.13 (define @t516 () (or @t303 @t291 @t359 @t513)) % 53.95/54.13 (define @t517 () (= @t290 @t328)) % 53.95/54.13 (define @t518 () (not @t517)) % 53.95/54.13 (define @t519 () (or @t335 @t518)) % 53.95/54.13 (define @t520 () (@quantifiers_skolemize @t325 1)) % 53.95/54.13 (define @t521 () (tptp.cons @t520 @t326)) % 53.95/54.13 (define @t522 () (= @t290 @t521)) % 53.95/54.13 (define @t523 () (not @t522)) % 53.95/54.13 (define @t524 () (tptp.ssItem @t520)) % 53.95/54.13 (define @t525 () (not @t524)) % 53.95/54.13 (define @t526 () (or @t333 @t525 @t523)) % 53.95/54.13 (define @t527 () (not @t526)) % 53.95/54.13 (define @t528 () (not (= @t521 @t290))) % 53.95/54.13 (define @t529 () (or @t333 @t525 @t528)) % 53.95/54.13 (define @t530 () (not @t529)) % 53.95/54.13 (define @t531 () (@var "BOUND_VARIABLE_9135" $$unsorted)) % 53.95/54.13 (define @t532 () (tptp.ssList (tptp.cons @t531 @t2))) % 53.95/54.13 (define @t533 () (not (tptp.ssItem @t531))) % 53.95/54.13 (define @t534 () (or @t533 @t532)) % 53.95/54.13 (define @t535 () (or @t194 @t534)) % 53.95/54.13 (define @t536 () (forall (@list @t2 @t531) @t535)) % 53.95/54.13 (define @t537 () (@list @t531)) % 53.95/54.13 (define @t538 () (forall @t537 @t535)) % 53.95/54.13 (define @t539 () (forall @t537 @t534)) % 53.95/54.13 (define @t540 () (or @t194 @t539)) % 53.95/54.13 (define @t541 () (forall @t7 (or @t386 @t42))) % 53.95/54.13 (define @t542 () (tptp.ssList @t328)) % 53.95/54.13 (define @t543 () (or @t359 @t335 @t542)) % 53.95/54.13 (define @t544 () (@var "BOUND_VARIABLE_10607" $$unsorted)) % 53.95/54.13 (define @t545 () (and (= @t544 tptp.nil) @t168)) % 53.95/54.13 (define @t546 () (= tptp.nil (tptp.app @t2 @t544))) % 53.95/54.13 (define @t547 () (= @t546 @t545)) % 53.95/54.13 (define @t548 () (not (tptp.ssList @t544))) % 53.95/54.13 (define @t549 () (or @t194 @t548 @t547)) % 53.95/54.13 (define @t550 () (or @t548 @t547)) % 53.95/54.13 (define @t551 () (or @t194 @t550)) % 53.95/54.13 (define @t552 () (@list @t2 @t544)) % 53.95/54.13 (define @t553 () (forall @t552 @t551)) % 53.95/54.13 (define @t554 () (@list @t544)) % 53.95/54.13 (define @t555 () (forall @t554 @t551)) % 53.95/54.13 (define @t556 () (forall @t554 @t550)) % 53.95/54.13 (define @t557 () (or @t194 @t556)) % 53.95/54.13 (define @t558 () (= @t117 (and @t205 @t168))) % 53.95/54.13 (define @t559 () (forall @t7 (or @t212 @t558))) % 53.95/54.13 (define @t560 () (= tptp.nil @t326)) % 53.95/54.13 (define @t561 () (= @t326 tptp.nil)) % 53.95/54.13 (define @t562 () (and (= tptp.nil tptp.nil) @t561)) % 53.95/54.13 (define @t563 () (tptp.app @t326 tptp.nil)) % 53.95/54.13 (define @t564 () (= tptp.nil @t563)) % 53.95/54.13 (define @t565 () (= @t564 @t562)) % 53.95/54.13 (define @t566 () (or @t333 @t359 @t565)) % 53.95/54.13 (define @t567 () (forall @t552 (or @t194 @t548 (= @t546 (and (= tptp.nil @t544) @t168))))) % 53.95/54.13 (define @t568 () (= @t564 @t560)) % 53.95/54.13 (define @t569 () (or @t333 @t359 @t568)) % 53.95/54.13 (define @t570 () (@list @t326)) % 53.95/54.13 (define @t571 () (tptp.app tptp.nil @t326)) % 53.95/54.13 (define @t572 () (= @t326 @t571)) % 53.95/54.13 (define @t573 () (or @t333 @t572)) % 53.95/54.13 (define @t574 () (@var "BOUND_VARIABLE_10514" $$unsorted)) % 53.95/54.13 (define @t575 () (= @t2 @t574)) % 53.95/54.13 (define @t576 () (@var "BOUND_VARIABLE_10512" $$unsorted)) % 53.95/54.13 (define @t577 () (not (= (tptp.app @t576 @t2) (tptp.app @t576 @t574)))) % 53.95/54.13 (define @t578 () (not (tptp.ssList @t574))) % 53.95/54.13 (define @t579 () (not (tptp.ssList @t576))) % 53.95/54.13 (define @t580 () (or @t579 @t578 @t577 @t575)) % 53.95/54.13 (define @t581 () (or @t194 @t580)) % 53.95/54.13 (define @t582 () (forall (@list @t2 @t576 @t574) @t581)) % 53.95/54.13 (define @t583 () (@list @t576 @t574)) % 53.95/54.13 (define @t584 () (forall @t583 @t581)) % 53.95/54.13 (define @t585 () (forall @t583 @t580)) % 53.95/54.13 (define @t586 () (@var "BOUND_VARIABLE_10491" $$unsorted)) % 53.95/54.13 (define @t587 () (or @t194 @t585)) % 53.95/54.13 (define @t588 () (= @t2 @t586)) % 53.95/54.13 (define @t589 () (tptp.app @t1 @t586)) % 53.95/54.13 (define @t590 () (not (tptp.ssList @t586))) % 53.95/54.13 (define @t591 () (@list @t1 @t586)) % 53.95/54.13 (define @t592 () (forall @t591 (or @t212 @t590 (not (= @t75 @t589)) @t588))) % 53.95/54.13 (define @t593 () (not (= @t589 @t75))) % 53.95/54.13 (define @t594 () (or @t212 @t590 @t593 @t588)) % 53.95/54.13 (define @t595 () (or @t590 @t593 @t588)) % 53.95/54.13 (define @t596 () (or @t212 @t595)) % 53.95/54.13 (define @t597 () (forall @t591 @t596)) % 53.95/54.13 (define @t598 () (@list @t586)) % 53.95/54.13 (define @t599 () (forall @t598 @t596)) % 53.95/54.13 (define @t600 () (forall @t598 @t595)) % 53.95/54.13 (define @t601 () (or @t212 @t600)) % 53.95/54.13 (define @t602 () (not @t98)) % 53.95/54.13 (define @t603 () (or @t225 @t602 @t154)) % 53.95/54.13 (define @t604 () (forall @t20 @t603)) % 53.95/54.13 (define @t605 () (=> @t98 @t154)) % 53.95/54.13 (define @t606 () (tptp.app @t326 @t290)) % 53.95/54.13 (define @t607 () (= @t563 @t606)) % 53.95/54.13 (define @t608 () (not @t607)) % 53.95/54.13 (define @t609 () (or @t359 @t333 @t303 @t608 @t291)) % 53.95/54.13 (define @t610 () (@var "BOUND_VARIABLE_10579" $$unsorted)) % 53.95/54.13 (define @t611 () (@var "BOUND_VARIABLE_10577" $$unsorted)) % 53.95/54.13 (define @t612 () (= (tptp.app (tptp.app @t2 @t611) @t610) (tptp.app @t2 (tptp.app @t611 @t610)))) % 53.95/54.13 (define @t613 () (not (tptp.ssList @t610))) % 53.95/54.13 (define @t614 () (not (tptp.ssList @t611))) % 53.95/54.13 (define @t615 () (or @t614 @t613 @t612)) % 53.95/54.13 (define @t616 () (or @t194 @t615)) % 53.95/54.13 (define @t617 () (forall (@list @t2 @t611 @t610) @t616)) % 53.95/54.13 (define @t618 () (@list @t611 @t610)) % 53.95/54.13 (define @t619 () (forall @t618 @t616)) % 53.95/54.13 (define @t620 () (forall @t618 @t615)) % 53.95/54.13 (define @t621 () (@var "BOUND_VARIABLE_10559" $$unsorted)) % 53.95/54.13 (define @t622 () (or @t194 @t620)) % 53.95/54.13 (define @t623 () (= (tptp.app @t74 @t621) (tptp.app @t2 (tptp.app @t1 @t621)))) % 53.95/54.13 (define @t624 () (not (tptp.ssList @t621))) % 53.95/54.13 (define @t625 () (or @t212 @t624 @t623)) % 53.95/54.13 (define @t626 () (@list @t1 @t621)) % 53.95/54.13 (define @t627 () (forall @t626 @t625)) % 53.95/54.13 (define @t628 () (or @t624 @t623)) % 53.95/54.13 (define @t629 () (or @t212 @t628)) % 53.95/54.13 (define @t630 () (forall @t626 @t629)) % 53.95/54.13 (define @t631 () (@list @t621)) % 53.95/54.13 (define @t632 () (forall @t631 @t629)) % 53.95/54.13 (define @t633 () (forall @t631 @t628)) % 53.95/54.13 (define @t634 () (or @t212 @t633)) % 53.95/54.13 (define @t635 () (forall @t20 (or @t225 @t110))) % 53.95/54.13 (define @t636 () (tptp.app @t326 @t329)) % 53.95/54.13 (define @t637 () (= (tptp.app @t331 @t326) @t636)) % 53.95/54.13 (define @t638 () (not @t542)) % 53.95/54.13 (define @t639 () (or @t333 @t638 @t333 @t637)) % 53.95/54.13 (define @t640 () (@var "BOUND_VARIABLE_9329" $$unsorted)) % 53.95/54.13 (define @t641 () (= @t640 (tptp.hd (tptp.cons @t640 @t2)))) % 53.95/54.13 (define @t642 () (not (tptp.ssItem @t640))) % 53.95/54.13 (define @t643 () (or @t642 @t641)) % 53.95/54.13 (define @t644 () (or @t194 @t643)) % 53.95/54.13 (define @t645 () (forall (@list @t2 @t640) @t644)) % 53.95/54.13 (define @t646 () (@list @t640)) % 53.95/54.13 (define @t647 () (forall @t646 @t644)) % 53.95/54.13 (define @t648 () (forall @t646 @t643)) % 53.95/54.13 (define @t649 () (or @t194 @t648)) % 53.95/54.13 (define @t650 () (= @t1 @t63)) % 53.95/54.13 (define @t651 () (forall @t7 (or @t386 @t650))) % 53.95/54.13 (define @t652 () (@list @t326 @t520)) % 53.95/54.13 (define @t653 () (tptp.hd @t521)) % 53.95/54.13 (define @t654 () (= @t520 @t653)) % 53.95/54.13 (define @t655 () (or @t333 @t525 @t654)) % 53.95/54.13 (define @t656 () (tptp.tl @t521)) % 53.95/54.13 (define @t657 () (= @t326 @t656)) % 53.95/54.13 (define @t658 () (or @t333 @t525 @t657)) % 53.95/54.13 (define @t659 () (and @t436 @t513 @t522 @t654 @t657 @t564)) % 53.95/54.13 (define @t660 () (tptp.ssList @t348)) % 53.95/54.13 (define @t661 () (and @t332 @t522 @t657)) % 53.95/54.13 (define @t662 () (@var "BOUND_VARIABLE_10538" $$unsorted)) % 53.95/54.13 (define @t663 () (= (tptp.cons @t662 @t2) (tptp.app (tptp.cons @t662 tptp.nil) @t2))) % 53.95/54.13 (define @t664 () (not (tptp.ssItem @t662))) % 53.95/54.13 (define @t665 () (or @t664 @t663)) % 53.95/54.13 (define @t666 () (or @t194 @t665)) % 53.95/54.13 (define @t667 () (forall (@list @t2 @t662) @t666)) % 53.95/54.13 (define @t668 () (@list @t662)) % 53.95/54.13 (define @t669 () (forall @t668 @t666)) % 53.95/54.13 (define @t670 () (forall @t668 @t665)) % 53.95/54.13 (define @t671 () (or @t194 @t670)) % 53.95/54.13 (define @t672 () (forall @t7 (or @t386 @t106))) % 53.95/54.13 (define @t673 () (tptp.app @t328 @t348)) % 53.95/54.13 (define @t674 () (= @t349 @t673)) % 53.95/54.13 (define @t675 () (not @t660)) % 53.95/54.13 (define @t676 () (or @t675 @t335 @t674)) % 53.95/54.13 (define @t677 () (not (= @t326 @t322))) % 53.95/54.13 (define @t678 () (or @t212 @t323 @t677)) % 53.95/54.13 (define @t679 () (forall @t324 @t678)) % 53.95/54.13 (define @t680 () (not @t679)) % 53.95/54.13 (define @t681 () (or @t333 @t561 @t680)) % 53.95/54.13 (define @t682 () (forall @t324 (or @t212 @t323 (not (= @t322 @t326))))) % 53.95/54.13 (define @t683 () (not @t682)) % 53.95/54.13 (define @t684 () (or @t333 @t560 @t683)) % 53.95/54.13 (define @t685 () (@quantifiers_skolemize @t682 0)) % 53.95/54.13 (define @t686 () (@quantifiers_skolemize @t682 1)) % 53.95/54.13 (define @t687 () (tptp.cons @t686 @t685)) % 53.95/54.13 (define @t688 () (= @t326 @t687)) % 53.95/54.13 (define @t689 () (not @t688)) % 53.95/54.13 (define @t690 () (not (tptp.ssItem @t686))) % 53.95/54.13 (define @t691 () (not (tptp.ssList @t685))) % 53.95/54.13 (define @t692 () (or @t691 @t690 @t689)) % 53.95/54.13 (define @t693 () (not @t692)) % 53.95/54.13 (define @t694 () (not (= @t687 @t326))) % 53.95/54.13 (define @t695 () (or @t691 @t690 @t694)) % 53.95/54.13 (define @t696 () (not @t695)) % 53.95/54.13 (define @t697 () (tptp.cons @t327 @t687)) % 53.95/54.13 (define @t698 () (tptp.app @t326 @t697)) % 53.95/54.13 (define @t699 () (= @t326 @t698)) % 53.95/54.13 (define @t700 () (not @t699)) % 53.95/54.13 (define @t701 () (not @t657)) % 53.95/54.13 (define @t702 () (not @t513)) % 53.95/54.13 (define @t703 () (not @t436)) % 53.95/54.13 (define @t704 () (not @t350)) % 53.95/54.13 (define @t705 () (and @t350 @t436 @t513 @t522 @t657 @t688 @t608)) % 53.95/54.13 (define @t706 () (and @t350 @t522 @t657 @t674)) % 53.95/54.13 (define @t707 () (and @t293 @t350 @t522 @t657 @t572 @t674 @t688 @t637 @t340)) % 53.95/54.13 (define @t708 () (not @t340)) % 53.95/54.13 (define @t709 () (@list false true false)) % 53.95/54.13 (define @t710 () (@list @t526)) % 53.95/54.13 (define @t711 () (@list false false false false)) % 53.95/54.13 (define @t712 () (or @t638 @t333 @t339 @t708)) % 53.95/54.13 (define @t713 () (not @t712)) % 53.95/54.13 (define @t714 () (not @t336)) % 53.95/54.13 (define @t715 () (or @t638 @t333 @t330 @t714)) % 53.95/54.13 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 53.95/54.13 (assume @p2 @t13) % 53.95/54.13 (assume @p3 (forall @t9 (=> @t21 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t20 (and @t19 (exists @t18 (and @t17 (= (tptp.app @t16 @t15) @t2))))))))))) % 53.95/54.13 (assume @p4 (forall @t9 (=> @t21 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t22 @t2))))))) % 53.95/54.13 (assume @p5 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (= @t24 (exists @t20 (and @t19 (= @t23 @t2))))))))) % 53.95/54.13 (assume @p6 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (= @t27 (exists @t20 (and @t19 (= @t26 @t2))))))))) % 53.95/54.13 (assume @p7 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (= @t28 (exists @t20 (and @t19 (exists @t18 (and @t17 (= (tptp.app @t26 @t14) @t2))))))))))) % 53.95/54.13 (assume @p8 (forall @t9 (=> @t21 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 (not (and @t30 @t29))))))))))))))))) % 53.95/54.13 (assume @p9 (forall @t9 (=> @t21 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 (or @t30 @t29)))))))))))))))) % 53.95/54.13 (assume @p10 (forall @t9 (=> @t21 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 (or @t39 (tptp.lt @t16 @t1))))))))))))))))) % 53.95/54.13 (assume @p11 (forall @t9 (=> @t21 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 @t30))))))))))))))) % 53.95/54.13 (assume @p12 (forall @t9 (=> @t21 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 @t39))))))))))))))) % 53.95/54.13 (assume @p13 (forall @t9 (=> @t21 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (=> @t33 (not @t40)))))))))))))))) % 53.95/54.13 (assume @p14 (forall @t9 (=> @t21 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t38 (forall @t18 (=> @t17 (forall @t37 (=> @t36 (=> (= (tptp.app @t14 (tptp.cons @t1 (tptp.cons @t16 @t32))) @t2) @t40))))))))))))) % 53.95/54.13 (assume @p15 (forall @t9 (=> @t21 (forall @t7 (=> @t25 @t5))))) % 53.95/54.13 (assume @p16 @t45) % 53.95/54.13 (assume @p17 @t46) % 53.95/54.13 (assume @p18 (forall @t9 (=> @t21 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 53.95/54.13 (assume @p19 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t38 (forall @t18 (=> (tptp.ssItem @t14) (=> (= (tptp.cons @t16 @t2) (tptp.cons @t14 @t1)) (and (= @t16 @t14) @t47))))))))))) % 53.95/54.13 (assume @p20 @t56) % 53.95/54.13 (assume @p21 (forall @t9 (=> @t21 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 53.95/54.13 (assume @p22 @t62) % 53.95/54.13 (assume @p23 @t67) % 53.95/54.13 (assume @p24 (forall @t9 (=> @t21 (=> @t59 (tptp.ssList @t68))))) % 53.95/54.13 (assume @p25 @t73) % 53.95/54.13 (assume @p26 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (tptp.ssList @t74)))))) % 53.95/54.13 (assume @p27 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t38 (= (tptp.cons @t16 @t75) (tptp.app @t48 @t2))))))))) % 53.95/54.13 (assume @p28 @t78) % 53.95/54.13 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t80 @t79) @t3)))))) % 53.95/54.13 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t38 (=> (and @t80 @t30) (tptp.leq @t2 @t16))))))))) % 53.95/54.13 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 53.95/54.13 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t81 @t79)))))) % 53.95/54.13 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t83 (not @t82))))))) % 53.95/54.13 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t38 (=> (and @t83 @t39) @t84)))))))) % 53.95/54.13 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t85 @t82)))))) % 53.95/54.13 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (= (tptp.memberP @t23 @t2) (or (tptp.memberP @t1 @t2) @t86))))))))) % 53.95/54.13 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t19 (= (tptp.memberP (tptp.cons @t1 @t16) @t2) (or @t3 @t86))))))))) % 53.95/54.13 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 53.95/54.13 (assume @p39 (not (tptp.singletonP tptp.nil))) % 53.95/54.13 (assume @p40 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> (and @t24 (tptp.frontsegP @t1 @t16)) (tptp.frontsegP @t2 @t16))))))))) % 53.95/54.13 (assume @p41 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (=> (and @t24 (tptp.frontsegP @t1 @t2)) @t3)))))) % 53.95/54.13 (assume @p42 (forall @t9 (=> @t21 (tptp.frontsegP @t2 @t2)))) % 53.95/54.13 (assume @p43 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> @t24 (tptp.frontsegP (tptp.app @t2 @t16) @t1))))))))) % 53.95/54.13 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t19 (forall @t18 (=> @t17 (= (tptp.frontsegP (tptp.cons @t2 @t16) @t15) (and @t3 (tptp.frontsegP @t16 @t14)))))))))))) % 53.95/54.13 (assume @p45 (forall @t9 (=> @t21 (tptp.frontsegP @t2 tptp.nil)))) % 53.95/54.13 (assume @p46 (forall @t9 (=> @t21 (= (tptp.frontsegP tptp.nil @t2) @t53)))) % 53.95/54.13 (assume @p47 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> (and @t27 (tptp.rearsegP @t1 @t16)) (tptp.rearsegP @t2 @t16))))))))) % 53.95/54.13 (assume @p48 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (=> (and @t27 (tptp.rearsegP @t1 @t2)) @t3)))))) % 53.95/54.13 (assume @p49 (forall @t9 (=> @t21 (tptp.rearsegP @t2 @t2)))) % 53.95/54.13 (assume @p50 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> @t27 (tptp.rearsegP @t87 @t1))))))))) % 53.95/54.13 (assume @p51 (forall @t9 (=> @t21 (tptp.rearsegP @t2 tptp.nil)))) % 53.95/54.13 (assume @p52 (forall @t9 (=> @t21 (= (tptp.rearsegP tptp.nil @t2) @t53)))) % 53.95/54.13 (assume @p53 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> (and @t28 (tptp.segmentP @t1 @t16)) (tptp.segmentP @t2 @t16))))))))) % 53.95/54.13 (assume @p54 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (=> (and @t28 (tptp.segmentP @t1 @t2)) @t3)))))) % 53.95/54.13 (assume @p55 (forall @t9 (=> @t21 (tptp.segmentP @t2 @t2)))) % 53.95/54.13 (assume @p56 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (forall @t18 (=> @t17 (=> @t28 (tptp.segmentP (tptp.app @t87 @t14) @t1))))))))))) % 53.95/54.13 (assume @p57 (forall @t9 (=> @t21 (tptp.segmentP @t2 tptp.nil)))) % 53.95/54.13 (assume @p58 (forall @t9 (=> @t21 (= (tptp.segmentP tptp.nil @t2) @t53)))) % 53.95/54.13 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t88)))) % 53.95/54.13 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 53.95/54.13 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t88)))) % 53.95/54.13 (assume @p62 (tptp.totalorderP tptp.nil)) % 53.95/54.13 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t88)))) % 53.95/54.13 (assume @p64 (tptp.strictorderP tptp.nil)) % 53.95/54.13 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t88)))) % 53.95/54.13 (assume @p66 (tptp.totalorderedP tptp.nil)) % 53.95/54.13 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t25 (= (tptp.totalorderedP @t92) (or @t90 (and @t91 (tptp.totalorderedP @t1) (tptp.leq @t2 @t89))))))))) % 53.95/54.13 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t88)))) % 53.95/54.13 (assume @p69 (tptp.strictorderedP tptp.nil)) % 53.95/54.13 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t25 (= (tptp.strictorderedP @t92) (or @t90 (and @t91 (tptp.strictorderedP @t1) (tptp.lt @t2 @t89))))))))) % 53.95/54.13 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t88)))) % 53.95/54.13 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 53.95/54.13 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t88)))) % 53.95/54.13 (assume @p74 (tptp.equalelemsP tptp.nil)) % 53.95/54.13 (assume @p75 (forall @t9 (=> @t21 (=> @t59 (exists @t7 (and @t6 (= @t57 @t1))))))) % 53.95/54.13 (assume @p76 (forall @t9 (=> @t21 (=> @t59 (exists @t7 (and @t25 (= @t68 @t1))))))) % 53.95/54.13 (assume @p77 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (=> (and @t91 @t59 (= @t89 @t57) (= (tptp.tl @t1) @t68)) @t47)))))) % 53.95/54.13 (assume @p78 @t96) % 53.95/54.13 (assume @p79 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (forall @t20 (=> @t19 (=> (= @t26 @t74) @t97)))))))) % 53.95/54.13 (assume @p80 @t105) % 53.95/54.13 (assume @p81 @t109) % 53.95/54.13 (assume @p82 @t115) % 53.95/54.13 (assume @p83 @t122) % 53.95/54.13 (assume @p84 @t125) % 53.95/54.13 (assume @p85 (forall @t9 (=> @t21 (forall @t7 (=> @t25 (=> @t59 (= (tptp.hd @t74) @t57))))))) % 53.95/54.13 (assume @p86 @t131) % 53.95/54.13 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t81 (tptp.geq @t1 @t2)) @t3)))))) % 53.95/54.13 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t38 (=> (and @t81 (tptp.geq @t1 @t16)) (tptp.geq @t2 @t16))))))))) % 53.95/54.13 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 53.95/54.13 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 53.95/54.13 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t38 (=> (and @t80 @t39) @t84)))))))) % 53.95/54.13 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t80 (or @t3 @t83))))))) % 53.95/54.13 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t83 (and @t4 @t80))))))) % 53.95/54.13 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t85 (not (tptp.gt @t1 @t2)))))))) % 53.95/54.13 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t38 (=> (and @t85 (tptp.gt @t1 @t16)) (tptp.gt @t2 @t16))))))))) % 53.95/54.13 (assume @p96 @t166) % 53.95/54.13 (assume @p97 true) % 53.95/54.13 (step @p98 :rule eq-symm :args (@t167 tptp.nil)) % 53.95/54.13 (step @p99 :rule refl :args (@t169)) % 53.95/54.13 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t170)) % 53.95/54.13 (step @p101 :rule eq-symm :args (@t167 @t172)) % 53.95/54.13 (step @p102 :rule cong :premises (@p101) :args (@t173)) % 53.95/54.13 (step @p103 :rule refl :args (@t175)) % 53.95/54.13 (step @p104 :rule refl :args (@t176)) % 53.95/54.13 (step @p105 :rule refl :args (@t177)) % 53.95/54.13 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102) :args (@t178)) % 53.95/54.13 (step @p107 :rule cong :premises (@p106) :args (@t180)) % 53.95/54.13 (step @p108 :rule cong :premises (@p107) :args (@t181)) % 53.95/54.13 (step @p109 :rule refl :args (@t184)) % 53.95/54.13 (step @p110 :rule eq-symm :args (@t167 @t185)) % 53.95/54.13 (step @p111 :rule cong :premises (@p110) :args (@t186)) % 53.95/54.13 (step @p112 :rule refl :args (@t187)) % 53.95/54.13 (step @p113 :rule refl :args (@t188)) % 53.95/54.13 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p109) :args (@t189)) % 53.95/54.13 (step @p115 :rule cong :premises (@p114) :args (@t191)) % 53.95/54.13 (step @p116 :rule cong :premises (@p115) :args (@t192)) % 53.95/54.13 (step @p117 :rule refl :args (@t193)) % 53.95/54.13 (step @p118 :rule refl :args (@t194)) % 53.95/54.13 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p108 @p100) :args (@t195)) % 53.95/54.13 (step @p120 :rule aci_norm :args ((= @t197 @t195))) % 53.95/54.13 (step @p121 :rule trans :premises (@p120 @p119)) % 53.95/54.13 (step @p122 :rule cong :premises (@p121) :args (@t199)) % 53.95/54.13 (step @p123 :rule quant-merge-prenex :args ((= (forall @t9 @t201) @t199))) % 53.95/54.13 (step @p124 :rule alpha_equiv :args (@t202 (@list @t167) @t203)) % 53.95/54.13 (step @p125 :rule refl :args (@t194)) % 53.95/54.13 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t204)) % 53.95/54.13 (step @p127 :rule quant-miniscope-or :args ((= @t201 @t204))) % 53.95/54.13 (step @p128 :rule trans :premises (@p127 @p126)) % 53.95/54.13 (step @p129 :rule symm :premises (@p128)) % 53.95/54.13 (step @p130 :rule cong :premises (@p129) :args ((forall @t9 @t214))) % 53.95/54.13 (step @p131 :rule trans :premises (@p130 @p123)) % 53.95/54.13 (step @p132 :rule trans :premises (@p131 @p122)) % 53.95/54.13 (step @p133 :rule aci_norm :args ((= (or @t194 @t214) @t214))) % 53.95/54.13 (step @p134 :rule bool-impl-elim :args (@t21 @t214)) % 53.95/54.13 (step @p135 :rule trans :premises (@p134 @p133)) % 53.95/54.13 (step @p136 :rule cong :premises (@p135) :args ((forall @t9 (=> @t21 @t214)))) % 53.95/54.13 (step @p137 :rule trans :premises (@p136 @p132)) % 53.95/54.13 (step @p138 :rule quant-miniscope-or :args ((= (forall @t7 @t215) @t214))) % 53.95/54.13 (step @p139 :rule aci_norm :args ((= @t216 @t215))) % 53.95/54.13 (step @p140 :rule cong :premises (@p139) :args ((forall @t7 @t216))) % 53.95/54.13 (step @p141 :rule trans :premises (@p140 @p138)) % 53.95/54.13 (step @p142 :rule aci_norm :args ((= (or @t212 @t217) @t216))) % 53.95/54.13 (step @p143 :rule bool-impl-elim :args (@t25 @t217)) % 53.95/54.13 (step @p144 :rule trans :premises (@p143 @p142)) % 53.95/54.13 (step @p145 :rule cong :premises (@p144) :args ((forall @t7 (=> @t25 @t217)))) % 53.95/54.13 (step @p146 :rule trans :premises (@p145 @p141)) % 53.95/54.13 (step @p147 :rule aci_norm :args ((= (or @t211 @t212 @t218) @t217))) % 53.95/54.13 (step @p148 :rule aci_norm :args ((= (or @t194 false @t208 @t206) @t218))) % 53.95/54.13 (step @p149 :rule refl :args (@t206)) % 53.95/54.13 (step @p150 :rule refl :args (@t208)) % 53.95/54.13 (step @p151 :rule evaluate :args ((not true))) % 53.95/54.13 (step @p152 :rule eq-refl :args (@t2)) % 53.95/54.13 (step @p153 :rule cong :premises (@p152) :args (@t219)) % 53.95/54.13 (step @p154 :rule trans :premises (@p153 @p151)) % 53.95/54.13 (step @p155 :rule nary_cong :premises (@p118 @p154 @p150 @p149) :args (@t220)) % 53.95/54.13 (step @p156 :rule trans :premises (@p155 @p148)) % 53.95/54.13 (step @p157 :rule quant-var-elim-eq :args ((= (forall @t20 (or (not @t97) @t225 @t155 @t224 @t222)) @t220))) % 53.95/54.13 (step @p158 :rule refl :args (@t222)) % 53.95/54.13 (step @p159 :rule refl :args (@t224)) % 53.95/54.13 (step @p160 :rule refl :args (@t155)) % 53.95/54.13 (step @p161 :rule refl :args (@t225)) % 53.95/54.13 (step @p162 :rule eq-symm :args (@t2 @t16)) % 53.95/54.13 (step @p163 :rule cong :premises (@p162) :args (@t155)) % 53.95/54.13 (step @p164 :rule nary_cong :premises (@p163 @p161 @p160 @p159 @p158) :args (@t226)) % 53.95/54.13 (step @p165 :rule aci_norm :args ((= @t227 @t226))) % 53.95/54.13 (step @p166 :rule trans :premises (@p165 @p164)) % 53.95/54.13 (step @p167 :rule cong :premises (@p166) :args (@t228)) % 53.95/54.13 (step @p168 :rule trans :premises (@p167 @p157)) % 53.95/54.13 (step @p169 :rule trans :premises (@p168 @p156)) % 53.95/54.13 (step @p170 :rule refl :args (@t212)) % 53.95/54.13 (step @p171 :rule refl :args (@t211)) % 53.95/54.13 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169) :args (@t229)) % 53.95/54.13 (step @p173 :rule trans :premises (@p172 @p147)) % 53.95/54.13 (step @p174 :rule quant-miniscope-or :args ((= (forall @t20 @t230) @t229))) % 53.95/54.13 (step @p175 :rule aci_norm :args ((= @t231 @t230))) % 53.95/54.13 (step @p176 :rule cong :premises (@p175) :args ((forall @t20 @t231))) % 53.95/54.13 (step @p177 :rule trans :premises (@p176 @p174)) % 53.95/54.13 (step @p178 :rule trans :premises (@p177 @p173)) % 53.95/54.13 (step @p179 :rule aci_norm :args ((= (or @t225 @t232) @t231))) % 53.95/54.13 (step @p180 :rule bool-impl-elim :args (@t19 @t232)) % 53.95/54.13 (step @p181 :rule trans :premises (@p180 @p179)) % 53.95/54.13 (step @p182 :rule cong :premises (@p181) :args ((forall @t20 (=> @t19 @t232)))) % 53.95/54.13 (step @p183 :rule trans :premises (@p182 @p178)) % 53.95/54.13 (step @p184 :rule aci_norm :args ((= (or @t155 @t211 @t233) @t232))) % 53.95/54.13 (step @p185 :rule aci_norm :args ((= (or @t212 false @t224 @t222) @t233))) % 53.95/54.13 (step @p186 :rule refl :args (@t222)) % 53.95/54.13 (step @p187 :rule refl :args (@t224)) % 53.95/54.13 (step @p188 :rule eq-refl :args (@t1)) % 53.95/54.13 (step @p189 :rule cong :premises (@p188) :args (@t234)) % 53.95/54.13 (step @p190 :rule trans :premises (@p189 @p151)) % 53.95/54.13 (step @p191 :rule nary_cong :premises (@p170 @p190 @p187 @p186) :args (@t235)) % 53.95/54.13 (step @p192 :rule trans :premises (@p191 @p185)) % 53.95/54.13 (step @p193 :rule quant-var-elim-eq :args ((= (forall @t18 (or (not (= @t14 @t1)) @t157 @t156 @t239 @t236)) @t235))) % 53.95/54.13 (step @p194 :rule refl :args (@t236)) % 53.95/54.13 (step @p195 :rule refl :args (@t239)) % 53.95/54.13 (step @p196 :rule refl :args (@t156)) % 53.95/54.13 (step @p197 :rule refl :args (@t157)) % 53.95/54.13 (step @p198 :rule eq-symm :args (@t1 @t14)) % 53.95/54.13 (step @p199 :rule cong :premises (@p198) :args (@t156)) % 53.95/54.13 (step @p200 :rule nary_cong :premises (@p199 @p197 @p196 @p195 @p194) :args (@t240)) % 53.95/54.13 (step @p201 :rule aci_norm :args ((= @t241 @t240))) % 53.95/54.13 (step @p202 :rule trans :premises (@p201 @p200)) % 53.95/54.13 (step @p203 :rule cong :premises (@p202) :args (@t242)) % 53.95/54.13 (step @p204 :rule trans :premises (@p203 @p193)) % 53.95/54.13 (step @p205 :rule trans :premises (@p204 @p192)) % 53.95/54.13 (step @p206 :rule refl :args (@t155)) % 53.95/54.13 (step @p207 :rule nary_cong :premises (@p206 @p171 @p205) :args (@t243)) % 53.95/54.13 (step @p208 :rule trans :premises (@p207 @p184)) % 53.95/54.13 (step @p209 :rule quant-miniscope-or :args ((= (forall 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53.95/54.14 (assume-push @p1606 @t522) % 53.95/54.14 (assume-push @p1607 @t350) % 53.95/54.14 (assume-push @p1608 @t674) % 53.95/54.14 (assume-push @p1609 @t637) % 53.95/54.14 (assume-push @p1610 @t340) % 53.95/54.14 (assume-push @p1611 @t293) % 53.95/54.14 (assume-push @p1612 @t572) % 53.95/54.14 (step @p1356 :rule symm :premises (@p1598)) % 53.95/54.14 (step @p1357 :rule cong :premises (@p1597) :args (@t348)) % 53.95/54.14 (step @p1358 :rule trans :premises (@p1357 @p1356 @p1601)) % 53.95/54.14 (step @p1270 :rule refl :args (@t327)) % 53.95/54.14 (step @p1359 :rule cong :premises (@p1270 @p1358) :args (@t349)) % 53.95/54.14 (step @p1360 :rule trans :premises (@p1596 @p1359)) % 53.95/54.14 (step @p1273 :rule refl :args (@t326)) % 53.95/54.14 (step @p1361 :rule cong :premises (@p1273 @p1360) :args (@t606)) % 53.95/54.14 (step @p1362 :rule symm :premises (@p1596)) % 53.95/54.14 (step @p1363 :rule symm :premises (@p1600)) % 53.95/54.14 (step @p1364 :rule symm :premises (@p1357)) % 53.95/54.14 (step @p1365 :rule trans :premises (@p1598 @p1364)) % 53.95/54.14 (step @p1318 :rule refl :args (@t328)) % 53.95/54.14 (step @p1366 :rule cong :premises (@p1318 @p1365) :args (@t329)) % 53.95/54.14 (step @p1367 :rule trans :premises (@p1366 @p1363 @p1362)) % 53.95/54.14 (step @p1368 :rule cong :premises (@p1273 @p1367) :args (@t636)) % 53.95/54.14 (step @p1369 :rule trans :premises (@p1595 @p1603)) % 53.95/54.14 (step @p1370 :rule cong :premises (@p1369 @p1273) :args (@t571)) % 53.95/54.14 (step @p1371 :rule trans :premises (@p1599 @p1370 @p1602 @p1368 @p1361)) % 53.95/54.14 (step-pop @p1613 :rule scope :premises (@p1371)) % 53.95/54.14 (step-pop @p1614 :rule scope :premises (@p1613)) % 53.95/54.14 (step-pop @p1615 :rule scope :premises (@p1614)) % 53.95/54.14 (step-pop @p1616 :rule scope :premises (@p1615)) % 53.95/54.14 (step-pop @p1617 :rule scope :premises (@p1616)) % 53.95/54.14 (step-pop @p1618 :rule scope :premises (@p1617)) % 53.95/54.14 (step-pop @p1619 :rule scope :premises (@p1618)) % 53.95/54.14 (step-pop @p1620 :rule scope :premises (@p1619)) % 53.95/54.14 (step-pop @p1621 :rule scope :premises (@p1620)) % 53.95/54.14 (step @p1372 :rule process_scope :premises (@p1621) :args (@t699)) % 53.95/54.14 (step @p1382 :rule and_intro :premises (@p1601 @p1598 @p1597 @p1596 @p1600 @p1602 @p1603 @p1595 @p1599)) % 53.95/54.14 (step @p1383 :rule modus_ponens :premises (@p1382 @p1372)) % 53.95/54.14 (step-pop @p1622 :rule scope :premises (@p1383)) % 53.95/54.14 (step-pop @p1623 :rule scope :premises (@p1622)) % 53.95/54.14 (step-pop @p1624 :rule scope :premises (@p1623)) % 53.95/54.14 (step-pop @p1625 :rule scope :premises (@p1624)) % 53.95/54.14 (step-pop @p1626 :rule scope :premises (@p1625)) % 53.95/54.14 (step-pop @p1627 :rule scope :premises (@p1626)) % 53.95/54.14 (step-pop @p1628 :rule scope :premises (@p1627)) % 53.95/54.14 (step-pop @p1629 :rule scope :premises (@p1628)) % 53.95/54.14 (step-pop @p1630 :rule scope :premises (@p1629)) % 53.95/54.14 (step @p1384 :rule process_scope :premises (@p1630) :args (@t699)) % 53.95/54.14 (step @p1394 :rule implies_elim :premises (@p1384)) % 53.95/54.14 (step @p1395 :rule cnf_and_neg :args (@t707)) % 53.95/54.14 (step @p1396 :rule resolution :premises (@p1395 @p1394) :args (true @t707)) % 53.95/54.14 (step @p1397 :rule reordering :premises (@p1396) :args ((or @t294 @t704 @t523 @t701 (not @t572) (not @t674) @t689 @t699 (not @t637) @t708))) % 53.95/54.14 (step @p1398 :rule chain_m_resolution :premises (@p1397 @p1337 @p385 @p1335 @p1306 @p621 @p1240 @p1234 @p1216 @p1214 @p1200 @p1198 @p1177 @p1175 @p1149 @p621 @p1105 @p1103 @p1102 @p1100 @p1075 @p1072 @p1034 @p1032 @p567 @p17 @p977 @p975 @p974 @p972 @p17 @p920 @p915 @p910 @p904 @p902 @p17 @p881 @p864 @p862 @p860 @p567 @p17 @p808 @p416 @p567 @p806 @p804 @p567 @p777 @p775 @p567 @p716 @p599 @p429 @p705 @p704 @p468 @p688 @p17 @p687 @p447 @p429) :args (@t294 (@list false false false true false false true true false false false true false true false false false false false false false true false false false false false false false false false false false false false false true true false false false false false false false false false false true false false false true false false false true false false false false false) (@list @t340 @t341 @t338 @t699 @t436 @t688 @t692 @t682 @t684 @t674 @t676 @t560 @t660 @t564 @t436 @t657 @t658 @t654 @t655 @t637 @t639 @t607 @t609 @t302 @t46 @t572 @t573 @t568 @t569 @t46 @t522 @t524 @t332 @t542 @t543 @t46 @t526 @t517 @t513 @t516 @t302 @t46 @t350 @t355 @t302 @t334 @t492 @t302 @t325 @t486 @t302 @t519 @t291 @t358 @t398 @t426 @t370 @t372 @t46 @t433 @t362 @t358))) % 53.95/54.14 (step @p1399 :rule bool-double-not-elim :args (@t293)) % 53.95/54.14 (step @p1400 :rule refl :args (@t295)) % 53.95/54.14 (step @p1401 :rule nary_cong :premises (@p1400 @p1399 @p559) :args ((or @t295 (not @t294) @t421))) % 53.95/54.14 (step @p1402 :rule cnf_and_neg :args (@t295)) % 53.95/54.14 (step @p1403 :rule eq_resolve :premises (@p1402 @p1401)) % 53.95/54.14 (step @p1404 :rule reordering :premises (@p1403) :args ((or @t293 @t295 @t421))) % 53.95/54.14 (step @p1405 :rule chain_m_resolution :premises (@p1404 @p1398 @p418) :args (@t421 (@list true true) (@list @t293 @t295))) % 53.95/54.14 (step @p1406 :rule chain_m_resolution :premises (@p808 @p567 @p1405 @p416) :args (@t350 @t709 (@list @t302 @t291 @t355))) % 53.95/54.14 (step @p1407 :rule chain_m_resolution :premises (@p777 @p567 @p1405 @p775) :args (@t485 @t709 (@list @t302 @t291 @t486))) % 53.95/54.14 (step @p1408 :rule chain_m_resolution :premises (@p881 @p1407) :args (@t527 @t319 (@list @t325))) % 53.95/54.14 (step @p1409 :rule chain_m_resolution :premises (@p920 @p1408) :args (@t522 @t319 @t710)) % 53.95/54.14 (step @p1410 :rule chain_m_resolution :premises (@p915 @p1408) :args (@t524 @t319 @t710)) % 53.95/54.14 (step @p1411 :rule chain_m_resolution :premises (@p910 @p1408) :args (@t332 @t319 @t710)) % 53.95/54.14 (step @p1412 :rule chain_m_resolution :premises (@p1105 @p1411 @p1410 @p1103) :args (@t657 @t423 (@list @t332 @t524 @t658))) % 53.95/54.14 (step @p1413 :rule chain_m_resolution :premises (@p1175 @p1412 @p1409 @p1411) :args (@t660 @t423 (@list @t657 @t522 @t332))) % 53.95/54.14 (step @p1414 :rule chain_m_resolution :premises (@p806 @p567 @p1405 @p804) :args (@t334 @t709 (@list @t302 @t291 @t492))) % 53.95/54.14 (step @p1415 :rule chain_m_resolution :premises (@p1200 @p1414 @p1413 @p1198) :args (@t674 @t423 (@list @t334 @t660 @t676))) % 53.95/54.14 (step @p1416 :rule chain_m_resolution :premises (@p1335 @p1415 @p1412 @p1409 @p1406) :args (@t338 @t711 (@list @t674 @t657 @t522 @t350))) % 53.95/54.14 (step @p1417 :rule chain_m_resolution :premises (@p1337 @p1414 @p1411 @p1416 @p385) :args (@t340 @t711 (@list @t334 @t332 @t338 @t341))) % 53.95/54.14 (step @p1418 :rule chain_m_resolution :premises (@p904 @p17 @p1414 @p902) :args (@t542 @t423 (@list @t46 @t334 @t543))) % 53.95/54.14 (step @p1419 :rule cnf_or_pos :args (@t712)) % 53.95/54.14 (step @p1420 :rule reordering :premises (@p1419) :args ((or @t333 @t638 @t339 @t708 @t713))) % 53.95/54.14 (step @p1421 :rule chain_m_resolution :premises (@p1420 @p1411 @p1418 @p1416 @p1417) :args (@t713 @t711 (@list @t332 @t542 @t338 @t340))) % 53.95/54.14 (step @p1422 :rule cong :premises (@p373) :args (@t714)) % 53.95/54.14 (step @p1423 :rule refl :args (@t638)) % 53.95/54.14 (step @p1424 :rule nary_cong :premises (@p1423 @p374 @p372 @p1422) :args (@t715)) % 53.95/54.14 (step @p1425 :rule cong :premises (@p458 @p1424) :args ((=> @t300 @t715))) % 53.95/54.14 (assume-push @p1631 @t300) % 53.95/54.14 (step @p1427 :rule instantiate :premises (@p364) :args ((@list @t328 @t326))) % 53.95/54.14 (step-pop @p1632 :rule scope :premises (@p1427)) % 53.95/54.14 (step @p1428 :rule process_scope :premises (@p1632) :args (@t715)) % 53.95/54.14 (step @p1430 :rule eq_resolve :premises (@p1428 @p1425)) % 53.95/54.14 (step @p1431 :rule implies_elim :premises (@p1430)) % 53.95/54.14 (step @p1432 false :rule chain_m_resolution :premises (@p1431 @p1421 @p364) :args (false (@list true false) (@list @t712 @t300))) % 53.95/54.14 ) % 53.95/54.14 % SZS output end Proof % 53.95/54.14 % cvc5 exiting %------------------------------------------------------------------------------