%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC414+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 : n026.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 08:59:14 AM UTC 2026 % Result : Theorem 40.86s 41.12s % Output : Proof 40.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC414+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 19:46:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 40.86/41.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 40.86/41.12 --- Run --no-e-matching --full-saturate-quant at 6... % 40.86/41.12 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 40.86/41.12 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 40.86/41.12 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 40.86/41.12 % SZS status Theorem % 40.86/41.12 % SZS output start Proof % 40.86/41.12 ( % 40.86/41.12 (declare-sort $$unsorted 0) % 40.86/41.12 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 40.86/41.12 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 40.86/41.12 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 40.86/41.12 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 40.86/41.12 (declare-const tptp.nil $$unsorted) % 40.86/41.12 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.ssList (-> $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 40.86/41.12 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 40.86/41.12 (define @t1 () (@var "V" $$unsorted)) % 40.86/41.12 (define @t2 () (@var "U" $$unsorted)) % 40.86/41.12 (define @t3 () (= @t2 @t1)) % 40.86/41.12 (define @t4 () (not @t3)) % 40.86/41.12 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 40.86/41.12 (define @t6 () (tptp.ssItem @t1)) % 40.86/41.12 (define @t7 () (@list @t1)) % 40.86/41.12 (define @t8 () (tptp.ssItem @t2)) % 40.86/41.12 (define @t9 () (@list @t2)) % 40.86/41.12 (define @t10 () (@var "X" $$unsorted)) % 40.86/41.12 (define @t11 () (tptp.cons @t1 @t10)) % 40.86/41.12 (define @t12 () (@var "W" $$unsorted)) % 40.86/41.12 (define @t13 () (tptp.ssList @t10)) % 40.86/41.12 (define @t14 () (@list @t10)) % 40.86/41.12 (define @t15 () (tptp.ssList @t12)) % 40.86/41.12 (define @t16 () (@list @t12)) % 40.86/41.12 (define @t17 () (tptp.ssList @t2)) % 40.86/41.12 (define @t18 () (tptp.cons @t1 tptp.nil)) % 40.86/41.12 (define @t19 () (tptp.app @t1 @t12)) % 40.86/41.12 (define @t20 () (tptp.frontsegP @t2 @t1)) % 40.86/41.12 (define @t21 () (tptp.ssList @t1)) % 40.86/41.12 (define @t22 () (tptp.app @t12 @t1)) % 40.86/41.12 (define @t23 () (tptp.rearsegP @t2 @t1)) % 40.86/41.12 (define @t24 () (tptp.segmentP @t2 @t1)) % 40.86/41.12 (define @t25 () (tptp.leq @t12 @t1)) % 40.86/41.12 (define @t26 () (tptp.leq @t1 @t12)) % 40.86/41.12 (define @t27 () (@var "Z" $$unsorted)) % 40.86/41.12 (define @t28 () (@var "Y" $$unsorted)) % 40.86/41.12 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 40.86/41.12 (define @t30 () (tptp.ssList @t27)) % 40.86/41.12 (define @t31 () (@list @t27)) % 40.86/41.12 (define @t32 () (tptp.ssList @t28)) % 40.86/41.12 (define @t33 () (@list @t28)) % 40.86/41.12 (define @t34 () (tptp.ssItem @t12)) % 40.86/41.12 (define @t35 () (tptp.lt @t1 @t12)) % 40.86/41.12 (define @t36 () (= @t1 @t12)) % 40.86/41.12 (define @t37 () (tptp.cons @t1 @t2)) % 40.86/41.12 (define @t38 () (tptp.ssList @t37)) % 40.86/41.12 (define @t39 () (forall @t7 (=> @t6 @t38))) % 40.86/41.12 (define @t40 () (=> @t17 @t39)) % 40.86/41.12 (define @t41 () (forall @t9 @t40)) % 40.86/41.12 (define @t42 () (tptp.ssList tptp.nil)) % 40.86/41.12 (define @t43 () (not (= @t37 @t2))) % 40.86/41.12 (define @t44 () (=> @t6 @t43)) % 40.86/41.12 (define @t45 () (forall @t7 @t44)) % 40.86/41.12 (define @t46 () (=> @t17 @t45)) % 40.86/41.12 (define @t47 () (forall @t9 @t46)) % 40.86/41.12 (define @t48 () (= @t1 @t2)) % 40.86/41.12 (define @t49 () (tptp.cons @t12 @t1)) % 40.86/41.12 (define @t50 () (= tptp.nil @t2)) % 40.86/41.12 (define @t51 () (tptp.hd @t2)) % 40.86/41.12 (define @t52 () (not @t50)) % 40.86/41.12 (define @t53 () (tptp.hd @t37)) % 40.86/41.12 (define @t54 () (=> @t6 (= @t53 @t1))) % 40.86/41.12 (define @t55 () (forall @t7 @t54)) % 40.86/41.12 (define @t56 () (=> @t17 @t55)) % 40.86/41.12 (define @t57 () (forall @t9 @t56)) % 40.86/41.12 (define @t58 () (tptp.tl @t2)) % 40.86/41.12 (define @t59 () (tptp.app @t2 @t1)) % 40.86/41.12 (define @t60 () (tptp.ssList @t59)) % 40.86/41.12 (define @t61 () (forall @t7 (=> @t21 @t60))) % 40.86/41.12 (define @t62 () (=> @t17 @t61)) % 40.86/41.12 (define @t63 () (forall @t9 @t62)) % 40.86/41.12 (define @t64 () (tptp.app @t1 @t2)) % 40.86/41.12 (define @t65 () (tptp.app tptp.nil @t2)) % 40.86/41.12 (define @t66 () (=> @t17 (= @t65 @t2))) % 40.86/41.12 (define @t67 () (forall @t9 @t66)) % 40.86/41.12 (define @t68 () (tptp.leq @t1 @t2)) % 40.86/41.12 (define @t69 () (tptp.leq @t2 @t1)) % 40.86/41.12 (define @t70 () (tptp.geq @t2 @t1)) % 40.86/41.12 (define @t71 () (tptp.lt @t1 @t2)) % 40.86/41.12 (define @t72 () (tptp.lt @t2 @t1)) % 40.86/41.12 (define @t73 () (tptp.lt @t2 @t12)) % 40.86/41.12 (define @t74 () (tptp.gt @t2 @t1)) % 40.86/41.12 (define @t75 () (tptp.memberP @t12 @t2)) % 40.86/41.12 (define @t76 () (tptp.app @t12 @t2)) % 40.86/41.12 (define @t77 () (tptp.cons @t2 tptp.nil)) % 40.86/41.12 (define @t78 () (tptp.hd @t1)) % 40.86/41.12 (define @t79 () (= tptp.nil @t1)) % 40.86/41.12 (define @t80 () (not @t79)) % 40.86/41.12 (define @t81 () (tptp.cons @t2 @t1)) % 40.86/41.12 (define @t82 () (= @t12 @t2)) % 40.86/41.12 (define @t83 () (= @t37 (tptp.app @t18 @t2))) % 40.86/41.12 (define @t84 () (forall @t7 (=> @t6 @t83))) % 40.86/41.12 (define @t85 () (=> @t17 @t84)) % 40.86/41.12 (define @t86 () (forall @t9 @t85)) % 40.86/41.12 (define @t87 () (and @t79 @t50)) % 40.86/41.12 (define @t88 () (= tptp.nil @t59)) % 40.86/41.12 (define @t89 () (= @t88 @t87)) % 40.86/41.12 (define @t90 () (=> @t21 @t89)) % 40.86/41.12 (define @t91 () (forall @t7 @t90)) % 40.86/41.12 (define @t92 () (=> @t17 @t91)) % 40.86/41.12 (define @t93 () (forall @t9 @t92)) % 40.86/41.12 (define @t94 () (tptp.hd @t59)) % 40.86/41.12 (define @t95 () (=> @t52 (= @t94 @t51))) % 40.86/41.12 (define @t96 () (=> @t21 @t95)) % 40.86/41.12 (define @t97 () (forall @t7 @t96)) % 40.86/41.12 (define @t98 () (=> @t17 @t97)) % 40.86/41.12 (define @t99 () (forall @t9 @t98)) % 40.86/41.12 (define @t100 () (@var "X15" $$unsorted)) % 40.86/41.12 (define @t101 () (@var "X14" $$unsorted)) % 40.86/41.12 (define @t102 () (@var "X13" $$unsorted)) % 40.86/41.12 (define @t103 () (tptp.cons @t102 tptp.nil)) % 40.86/41.12 (define @t104 () (tptp.app @t103 (tptp.cons @t101 tptp.nil))) % 40.86/41.12 (define @t105 () (tptp.app @t104 @t100)) % 40.86/41.12 (define @t106 () (not (= @t105 @t1))) % 40.86/41.12 (define @t107 () (tptp.ssList @t100)) % 40.86/41.12 (define @t108 () (=> @t107 @t106)) % 40.86/41.12 (define @t109 () (@list @t100)) % 40.86/41.12 (define @t110 () (forall @t109 @t108)) % 40.86/41.12 (define @t111 () (tptp.ssItem @t101)) % 40.86/41.12 (define @t112 () (=> @t111 @t110)) % 40.86/41.12 (define @t113 () (@list @t101)) % 40.86/41.12 (define @t114 () (forall @t113 @t112)) % 40.86/41.12 (define @t115 () (tptp.ssItem @t102)) % 40.86/41.12 (define @t116 () (=> @t115 @t114)) % 40.86/41.12 (define @t117 () (@list @t102)) % 40.86/41.12 (define @t118 () (forall @t117 @t116)) % 40.86/41.12 (define @t119 () (@var "X12" $$unsorted)) % 40.86/41.12 (define @t120 () (@var "X11" $$unsorted)) % 40.86/41.12 (define @t121 () (@var "X10" $$unsorted)) % 40.86/41.12 (define @t122 () (tptp.cons @t121 tptp.nil)) % 40.86/41.12 (define @t123 () (tptp.app @t122 (tptp.cons @t120 tptp.nil))) % 40.86/41.12 (define @t124 () (tptp.app @t123 @t119)) % 40.86/41.12 (define @t125 () (tptp.ssList @t119)) % 40.86/41.12 (define @t126 () (and @t125 (= @t124 @t10))) % 40.86/41.12 (define @t127 () (@list @t119)) % 40.86/41.12 (define @t128 () (exists @t127 @t126)) % 40.86/41.12 (define @t129 () (tptp.ssItem @t120)) % 40.86/41.12 (define @t130 () (and @t129 @t128)) % 40.86/41.12 (define @t131 () (@list @t120)) % 40.86/41.12 (define @t132 () (exists @t131 @t130)) % 40.86/41.12 (define @t133 () (tptp.ssItem @t121)) % 40.86/41.12 (define @t134 () (and @t133 @t132)) % 40.86/41.12 (define @t135 () (@list @t121)) % 40.86/41.12 (define @t136 () (exists @t135 @t134)) % 40.86/41.12 (define @t137 () (or @t136 @t118)) % 40.86/41.12 (define @t138 () (@var "X9" $$unsorted)) % 40.86/41.12 (define @t139 () (@var "X7" $$unsorted)) % 40.86/41.12 (define @t140 () (tptp.cons @t139 tptp.nil)) % 40.86/41.12 (define @t141 () (@var "X8" $$unsorted)) % 40.86/41.12 (define @t142 () (tptp.cons @t141 tptp.nil)) % 40.86/41.12 (define @t143 () (tptp.app @t142 @t140)) % 40.86/41.12 (define @t144 () (tptp.app @t143 @t138)) % 40.86/41.12 (define @t145 () (not (= @t144 @t12))) % 40.86/41.12 (define @t146 () (tptp.app @t140 @t142)) % 40.86/41.12 (define @t147 () (tptp.app @t146 @t138)) % 40.86/41.12 (define @t148 () (not (= @t147 @t10))) % 40.86/41.12 (define @t149 () (not (tptp.ssList @t138))) % 40.86/41.12 (define @t150 () (or @t149 @t148 @t145)) % 40.86/41.12 (define @t151 () (@list @t138)) % 40.86/41.12 (define @t152 () (forall @t151 @t150)) % 40.86/41.12 (define @t153 () (tptp.ssItem @t141)) % 40.86/41.12 (define @t154 () (=> @t153 @t152)) % 40.86/41.12 (define @t155 () (@list @t141)) % 40.86/41.12 (define @t156 () (forall @t155 @t154)) % 40.86/41.12 (define @t157 () (tptp.ssItem @t139)) % 40.86/41.12 (define @t158 () (=> @t157 @t156)) % 40.86/41.12 (define @t159 () (@list @t139)) % 40.86/41.12 (define @t160 () (forall @t159 @t158)) % 40.86/41.12 (define @t161 () (@var "X6" $$unsorted)) % 40.86/41.12 (define @t162 () (@var "X5" $$unsorted)) % 40.86/41.12 (define @t163 () (@var "X4" $$unsorted)) % 40.86/41.12 (define @t164 () (tptp.cons @t163 tptp.nil)) % 40.86/41.12 (define @t165 () (tptp.app @t164 (tptp.cons @t162 tptp.nil))) % 40.86/41.12 (define @t166 () (tptp.app @t165 @t161)) % 40.86/41.12 (define @t167 () (not (= @t166 @t1))) % 40.86/41.12 (define @t168 () (tptp.ssList @t161)) % 40.86/41.12 (define @t169 () (=> @t168 @t167)) % 40.86/41.12 (define @t170 () (@list @t161)) % 40.86/41.12 (define @t171 () (forall @t170 @t169)) % 40.86/41.12 (define @t172 () (tptp.ssItem @t162)) % 40.86/41.12 (define @t173 () (=> @t172 @t171)) % 40.86/41.12 (define @t174 () (@list @t162)) % 40.86/41.12 (define @t175 () (forall @t174 @t173)) % 40.86/41.12 (define @t176 () (tptp.ssItem @t163)) % 40.86/41.12 (define @t177 () (=> @t176 @t175)) % 40.86/41.12 (define @t178 () (@list @t163)) % 40.86/41.12 (define @t179 () (forall @t178 @t177)) % 40.86/41.12 (define @t180 () (@var "X3" $$unsorted)) % 40.86/41.12 (define @t181 () (tptp.cons @t28 tptp.nil)) % 40.86/41.12 (define @t182 () (@var "X2" $$unsorted)) % 40.86/41.12 (define @t183 () (tptp.cons @t27 tptp.nil)) % 40.86/41.12 (define @t184 () (@var "X1" $$unsorted)) % 40.86/41.12 (define @t185 () (tptp.app @t184 @t183)) % 40.86/41.12 (define @t186 () (tptp.app (tptp.app @t185 @t182) @t181)) % 40.86/41.12 (define @t187 () (tptp.app @t186 @t180)) % 40.86/41.12 (define @t188 () (tptp.app @t184 @t181)) % 40.86/41.12 (define @t189 () (tptp.app (tptp.app @t188 @t182) @t183)) % 40.86/41.12 (define @t190 () (tptp.app @t189 @t180)) % 40.86/41.12 (define @t191 () (tptp.ssList @t180)) % 40.86/41.12 (define @t192 () (and @t191 (= @t190 @t1) (= @t187 @t2))) % 40.86/41.12 (define @t193 () (@list @t180)) % 40.86/41.12 (define @t194 () (exists @t193 @t192)) % 40.86/41.12 (define @t195 () (tptp.ssList @t182)) % 40.86/41.12 (define @t196 () (and @t195 @t194)) % 40.86/41.12 (define @t197 () (@list @t182)) % 40.86/41.12 (define @t198 () (exists @t197 @t196)) % 40.86/41.12 (define @t199 () (tptp.ssList @t184)) % 40.86/41.12 (define @t200 () (and @t199 @t198)) % 40.86/41.12 (define @t201 () (@list @t184)) % 40.86/41.12 (define @t202 () (exists @t201 @t200)) % 40.86/41.12 (define @t203 () (tptp.ssItem @t27)) % 40.86/41.12 (define @t204 () (and @t203 @t202)) % 40.86/41.12 (define @t205 () (exists @t31 @t204)) % 40.86/41.12 (define @t206 () (tptp.ssItem @t28)) % 40.86/41.12 (define @t207 () (and @t206 @t205)) % 40.86/41.12 (define @t208 () (exists @t33 @t207)) % 40.86/41.12 (define @t209 () (or @t208 @t179 @t160)) % 40.86/41.12 (define @t210 () (and @t209 @t137)) % 40.86/41.12 (define @t211 () (not (= @t2 @t12))) % 40.86/41.12 (define @t212 () (not (= @t1 @t10))) % 40.86/41.12 (define @t213 () (not @t13)) % 40.86/41.12 (define @t214 () (or @t213 @t212 @t211 @t210)) % 40.86/41.12 (define @t215 () (forall @t14 @t214)) % 40.86/41.12 (define @t216 () (=> @t15 @t215)) % 40.86/41.12 (define @t217 () (forall @t16 @t216)) % 40.86/41.12 (define @t218 () (=> @t21 @t217)) % 40.86/41.12 (define @t219 () (forall @t7 @t218)) % 40.86/41.12 (define @t220 () (=> @t17 @t219)) % 40.86/41.12 (define @t221 () (forall @t9 @t220)) % 40.86/41.12 (define @t222 () (not @t221)) % 40.86/41.12 (define @t223 () (@var "BOUND_VARIABLE_11888" $$unsorted)) % 40.86/41.12 (define @t224 () (@var "BOUND_VARIABLE_11886" $$unsorted)) % 40.86/41.12 (define @t225 () (@var "BOUND_VARIABLE_11884" $$unsorted)) % 40.86/41.12 (define @t226 () (@var "BOUND_VARIABLE_11870" $$unsorted)) % 40.86/41.12 (define @t227 () (not (= @t226 (tptp.app (tptp.app (tptp.cons @t225 tptp.nil) (tptp.cons @t224 tptp.nil)) @t223)))) % 40.86/41.12 (define @t228 () (not (tptp.ssList @t223))) % 40.86/41.12 (define @t229 () (not (tptp.ssItem @t224))) % 40.86/41.12 (define @t230 () (not (tptp.ssItem @t225))) % 40.86/41.12 (define @t231 () (@var "BOUND_VARIABLE_11335" $$unsorted)) % 40.86/41.12 (define @t232 () (@var "BOUND_VARIABLE_11333" $$unsorted)) % 40.86/41.12 (define @t233 () (tptp.app (tptp.app @t122 (tptp.cons @t232 tptp.nil)) @t231)) % 40.86/41.12 (define @t234 () (not (tptp.ssList @t231))) % 40.86/41.12 (define @t235 () (not (tptp.ssItem @t232))) % 40.86/41.12 (define @t236 () (not @t133)) % 40.86/41.12 (define @t237 () (@list @t121 @t232 @t231)) % 40.86/41.12 (define @t238 () (@var "BOUND_VARIABLE_11882" $$unsorted)) % 40.86/41.12 (define @t239 () (@var "BOUND_VARIABLE_11878" $$unsorted)) % 40.86/41.12 (define @t240 () (tptp.cons @t239 tptp.nil)) % 40.86/41.12 (define @t241 () (@var "BOUND_VARIABLE_11880" $$unsorted)) % 40.86/41.12 (define @t242 () (tptp.cons @t241 tptp.nil)) % 40.86/41.12 (define @t243 () (not (= @t2 (tptp.app (tptp.app @t242 @t240) @t238)))) % 40.86/41.12 (define @t244 () (not (= @t226 (tptp.app (tptp.app @t240 @t242) @t238)))) % 40.86/41.12 (define @t245 () (not (tptp.ssList @t238))) % 40.86/41.12 (define @t246 () (not (tptp.ssItem @t241))) % 40.86/41.12 (define @t247 () (not (tptp.ssItem @t239))) % 40.86/41.12 (define @t248 () (@var "BOUND_VARIABLE_11876" $$unsorted)) % 40.86/41.12 (define @t249 () (@var "BOUND_VARIABLE_11874" $$unsorted)) % 40.86/41.12 (define @t250 () (@var "BOUND_VARIABLE_11872" $$unsorted)) % 40.86/41.12 (define @t251 () (not (= @t226 (tptp.app (tptp.app (tptp.cons @t250 tptp.nil) (tptp.cons @t249 tptp.nil)) @t248)))) % 40.86/41.12 (define @t252 () (not (tptp.ssList @t248))) % 40.86/41.12 (define @t253 () (not (tptp.ssItem @t249))) % 40.86/41.12 (define @t254 () (not (tptp.ssItem @t250))) % 40.86/41.12 (define @t255 () (@var "BOUND_VARIABLE_11157" $$unsorted)) % 40.86/41.12 (define @t256 () (@var "BOUND_VARIABLE_11155" $$unsorted)) % 40.86/41.12 (define @t257 () (@var "BOUND_VARIABLE_11151" $$unsorted)) % 40.86/41.12 (define @t258 () (tptp.cons @t257 tptp.nil)) % 40.86/41.12 (define @t259 () (@var "BOUND_VARIABLE_11153" $$unsorted)) % 40.86/41.12 (define @t260 () (tptp.app (tptp.app (tptp.app (tptp.app @t259 @t258) @t256) @t181) @t255)) % 40.86/41.12 (define @t261 () (not (= @t2 @t260))) % 40.86/41.12 (define @t262 () (tptp.app (tptp.app (tptp.app (tptp.app @t259 @t181) @t256) @t258) @t255)) % 40.86/41.12 (define @t263 () (not (tptp.ssList @t255))) % 40.86/41.12 (define @t264 () (not (tptp.ssList @t256))) % 40.86/41.12 (define @t265 () (not (tptp.ssList @t259))) % 40.86/41.12 (define @t266 () (not (tptp.ssItem @t257))) % 40.86/41.12 (define @t267 () (not @t206)) % 40.86/41.12 (define @t268 () (@list @t28 @t257 @t259 @t256 @t255)) % 40.86/41.12 (define @t269 () (not (tptp.ssList @t226))) % 40.86/41.12 (define @t270 () (not @t17)) % 40.86/41.12 (define @t271 () (@list @t2 @t226 @t250 @t249 @t248 @t239 @t241 @t238 @t225 @t224 @t223)) % 40.86/41.12 (define @t272 () (forall @t271 (or @t270 @t269 (and (or (not (forall @t268 (or @t267 @t266 @t265 @t264 @t263 (not (= @t262 @t226)) @t261))) @t254 @t253 @t252 @t251 @t247 @t246 @t245 @t244 @t243) (or (not (forall @t237 (or @t236 @t235 @t234 (not (= @t233 @t226))))) @t230 @t229 @t228 @t227))))) % 40.86/41.12 (define @t273 () (@quantifiers_skolemize @t272 1)) % 40.86/41.12 (define @t274 () (forall @t237 (or @t236 @t235 @t234 (not (= @t233 @t273))))) % 40.86/41.12 (define @t275 () (@quantifiers_skolemize @t272 10)) % 40.86/41.12 (define @t276 () (@quantifiers_skolemize @t272 9)) % 40.86/41.12 (define @t277 () (@quantifiers_skolemize @t272 8)) % 40.86/41.12 (define @t278 () (tptp.app (tptp.app (tptp.cons @t277 tptp.nil) (tptp.cons @t276 tptp.nil)) @t275)) % 40.86/41.12 (define @t279 () (= @t273 @t278)) % 40.86/41.12 (define @t280 () (not @t279)) % 40.86/41.12 (define @t281 () (tptp.ssList @t275)) % 40.86/41.12 (define @t282 () (not @t281)) % 40.86/41.12 (define @t283 () (tptp.ssItem @t276)) % 40.86/41.12 (define @t284 () (not @t283)) % 40.86/41.12 (define @t285 () (tptp.ssItem @t277)) % 40.86/41.12 (define @t286 () (not @t285)) % 40.86/41.12 (define @t287 () (not @t274)) % 40.86/41.12 (define @t288 () (or @t287 @t286 @t284 @t282 @t280)) % 40.86/41.12 (define @t289 () (or @t286 @t284 @t282 @t280)) % 40.86/41.12 (define @t290 () (not (= @t278 @t273))) % 40.86/41.12 (define @t291 () (or @t286 @t284 @t282 @t290)) % 40.86/41.12 (define @t292 () (not (= @t226 @t233))) % 40.86/41.12 (define @t293 () (or @t236 @t235 @t234 @t292)) % 40.86/41.12 (define @t294 () (forall @t237 @t293)) % 40.86/41.12 (define @t295 () (not @t294)) % 40.86/41.12 (define @t296 () (or @t295 @t230 @t229 @t228 @t227)) % 40.86/41.12 (define @t297 () (not (= @t226 @t262))) % 40.86/41.12 (define @t298 () (or @t267 @t266 @t265 @t264 @t263 @t297 @t261)) % 40.86/41.12 (define @t299 () (forall @t268 @t298)) % 40.86/41.12 (define @t300 () (not @t299)) % 40.86/41.12 (define @t301 () (or @t300 @t254 @t253 @t252 @t251 @t247 @t246 @t245 @t244 @t243)) % 40.86/41.12 (define @t302 () (and @t301 @t296)) % 40.86/41.12 (define @t303 () (or @t270 @t269 @t302)) % 40.86/41.12 (define @t304 () (or @t269 @t302)) % 40.86/41.12 (define @t305 () (or @t270 @t304)) % 40.86/41.12 (define @t306 () (forall @t271 @t305)) % 40.86/41.12 (define @t307 () (@list @t226 @t250 @t249 @t248 @t239 @t241 @t238 @t225 @t224 @t223)) % 40.86/41.12 (define @t308 () (forall @t307 @t305)) % 40.86/41.12 (define @t309 () (forall @t307 @t304)) % 40.86/41.12 (define @t310 () (@var "BOUND_VARIABLE_11841" $$unsorted)) % 40.86/41.12 (define @t311 () (@var "BOUND_VARIABLE_11839" $$unsorted)) % 40.86/41.12 (define @t312 () (@var "BOUND_VARIABLE_11837" $$unsorted)) % 40.86/41.12 (define @t313 () (@var "BOUND_VARIABLE_11817" $$unsorted)) % 40.86/41.12 (define @t314 () (@var "BOUND_VARIABLE_11815" $$unsorted)) % 40.86/41.12 (define @t315 () (@var "BOUND_VARIABLE_11813" $$unsorted)) % 40.86/41.12 (define @t316 () (@var "BOUND_VARIABLE_11798" $$unsorted)) % 40.86/41.12 (define @t317 () (@var "BOUND_VARIABLE_11796" $$unsorted)) % 40.86/41.12 (define @t318 () (@var "BOUND_VARIABLE_11794" $$unsorted)) % 40.86/41.12 (define @t319 () (or @t270 @t309)) % 40.86/41.12 (define @t320 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t312 tptp.nil) (tptp.cons @t311 tptp.nil)) @t310)))) % 40.86/41.12 (define @t321 () (not (tptp.ssList @t310))) % 40.86/41.12 (define @t322 () (not (tptp.ssItem @t311))) % 40.86/41.12 (define @t323 () (not (tptp.ssItem @t312))) % 40.86/41.12 (define @t324 () (not (forall @t237 (or @t236 @t235 @t234 (not (= @t1 @t233)))))) % 40.86/41.12 (define @t325 () (or @t324 @t323 @t322 @t321 @t320)) % 40.86/41.12 (define @t326 () (tptp.cons @t315 tptp.nil)) % 40.86/41.12 (define @t327 () (tptp.cons @t314 tptp.nil)) % 40.86/41.12 (define @t328 () (not (= @t2 (tptp.app (tptp.app @t327 @t326) @t313)))) % 40.86/41.12 (define @t329 () (not (= @t1 (tptp.app (tptp.app @t326 @t327) @t313)))) % 40.86/41.12 (define @t330 () (not (tptp.ssList @t313))) % 40.86/41.12 (define @t331 () (not (tptp.ssItem @t314))) % 40.86/41.12 (define @t332 () (not (tptp.ssItem @t315))) % 40.86/41.12 (define @t333 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t318 tptp.nil) (tptp.cons @t317 tptp.nil)) @t316)))) % 40.86/41.12 (define @t334 () (not (tptp.ssList @t316))) % 40.86/41.12 (define @t335 () (not (tptp.ssItem @t317))) % 40.86/41.12 (define @t336 () (not (tptp.ssItem @t318))) % 40.86/41.12 (define @t337 () (not (= @t1 @t262))) % 40.86/41.12 (define @t338 () (or @t267 @t266 @t265 @t264 @t263 @t337 @t261)) % 40.86/41.12 (define @t339 () (not (forall @t268 @t338))) % 40.86/41.12 (define @t340 () (or @t339 @t336 @t335 @t334 @t333 @t332 @t331 @t330 @t329 @t328)) % 40.86/41.12 (define @t341 () (not @t21)) % 40.86/41.12 (define @t342 () (@list @t1 @t318 @t317 @t316 @t315 @t314 @t313 @t312 @t311 @t310)) % 40.86/41.12 (define @t343 () (or @t270 (forall @t342 (or @t341 (and @t340 @t325))))) % 40.86/41.12 (define @t344 () (or @t323 @t322 @t321 @t320)) % 40.86/41.12 (define @t345 () (or @t324 @t344)) % 40.86/41.12 (define @t346 () (or @t332 @t331 @t330 @t329 @t328)) % 40.86/41.12 (define @t347 () (or @t336 @t335 @t334 @t333)) % 40.86/41.12 (define @t348 () (or @t339 @t347 @t346)) % 40.86/41.12 (define @t349 () (and @t348 @t345)) % 40.86/41.12 (define @t350 () (or @t341 @t349)) % 40.86/41.12 (define @t351 () (forall @t342 @t350)) % 40.86/41.12 (define @t352 () (@list @t318 @t317 @t316 @t315 @t314 @t313 @t312 @t311 @t310)) % 40.86/41.12 (define @t353 () (forall @t352 @t350)) % 40.86/41.12 (define @t354 () (@list @t312 @t311 @t310)) % 40.86/41.12 (define @t355 () (forall @t354 @t344)) % 40.86/41.12 (define @t356 () (@var "BOUND_VARIABLE_11755" $$unsorted)) % 40.86/41.12 (define @t357 () (@var "BOUND_VARIABLE_11753" $$unsorted)) % 40.86/41.12 (define @t358 () (@var "BOUND_VARIABLE_11751" $$unsorted)) % 40.86/41.12 (define @t359 () (or @t324 @t355)) % 40.86/41.12 (define @t360 () (forall @t354 @t345)) % 40.86/41.12 (define @t361 () (forall @t352 @t345)) % 40.86/41.12 (define @t362 () (forall (@list @t315 @t314 @t313) @t346)) % 40.86/41.12 (define @t363 () (@var "BOUND_VARIABLE_11700" $$unsorted)) % 40.86/41.12 (define @t364 () (@var "BOUND_VARIABLE_11698" $$unsorted)) % 40.86/41.12 (define @t365 () (@var "BOUND_VARIABLE_11696" $$unsorted)) % 40.86/41.12 (define @t366 () (forall (@list @t318 @t317 @t316) @t347)) % 40.86/41.12 (define @t367 () (@var "BOUND_VARIABLE_11694" $$unsorted)) % 40.86/41.12 (define @t368 () (@var "BOUND_VARIABLE_11692" $$unsorted)) % 40.86/41.12 (define @t369 () (@var "BOUND_VARIABLE_11690" $$unsorted)) % 40.86/41.12 (define @t370 () (or @t339 @t366 @t362)) % 40.86/41.12 (define @t371 () (forall (@list @t318 @t317 @t316 @t315 @t314 @t313) @t348)) % 40.86/41.12 (define @t372 () (forall @t352 @t348)) % 40.86/41.12 (define @t373 () (and @t372 @t361)) % 40.86/41.12 (define @t374 () (forall @t352 @t349)) % 40.86/41.12 (define @t375 () (or @t341 @t374)) % 40.86/41.12 (define @t376 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t358 tptp.nil) (tptp.cons @t357 tptp.nil)) @t356)))) % 40.86/41.12 (define @t377 () (not (tptp.ssList @t356))) % 40.86/41.12 (define @t378 () (not (tptp.ssItem @t357))) % 40.86/41.12 (define @t379 () (not (tptp.ssItem @t358))) % 40.86/41.12 (define @t380 () (or @t379 @t378 @t377 @t376)) % 40.86/41.12 (define @t381 () (@list @t358 @t357 @t356)) % 40.86/41.12 (define @t382 () (or @t324 (forall @t381 @t380))) % 40.86/41.12 (define @t383 () (tptp.cons @t365 tptp.nil)) % 40.86/41.12 (define @t384 () (tptp.cons @t364 tptp.nil)) % 40.86/41.12 (define @t385 () (not (= @t2 (tptp.app (tptp.app @t384 @t383) @t363)))) % 40.86/41.12 (define @t386 () (not (= @t1 (tptp.app (tptp.app @t383 @t384) @t363)))) % 40.86/41.12 (define @t387 () (not (tptp.ssList @t363))) % 40.86/41.12 (define @t388 () (not (tptp.ssItem @t364))) % 40.86/41.12 (define @t389 () (not (tptp.ssItem @t365))) % 40.86/41.12 (define @t390 () (or @t389 @t388 @t387 @t386 @t385)) % 40.86/41.12 (define @t391 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t369 tptp.nil) (tptp.cons @t368 tptp.nil)) @t367)))) % 40.86/41.12 (define @t392 () (not (tptp.ssList @t367))) % 40.86/41.12 (define @t393 () (not (tptp.ssItem @t368))) % 40.86/41.12 (define @t394 () (not (tptp.ssItem @t369))) % 40.86/41.12 (define @t395 () (or @t394 @t393 @t392 @t391)) % 40.86/41.12 (define @t396 () (or @t339 (forall (@list @t369 @t368 @t367) @t395) (forall (@list @t365 @t364 @t363) @t390))) % 40.86/41.12 (define @t397 () (and @t396 @t382)) % 40.86/41.12 (define @t398 () (or @t341 @t397)) % 40.86/41.12 (define @t399 () (forall @t7 @t398)) % 40.86/41.12 (define @t400 () (or @t270 @t399)) % 40.86/41.12 (define @t401 () (or @t270 @t398)) % 40.86/41.12 (define @t402 () (or @t341 @t270 @t397)) % 40.86/41.12 (define @t403 () (or @t324 @t380)) % 40.86/41.12 (define @t404 () (or @t324 @t379 @t378 @t377 @t376)) % 40.86/41.12 (define @t405 () (forall @t381 @t404)) % 40.86/41.12 (define @t406 () (@var "BOUND_VARIABLE_11749" $$unsorted)) % 40.86/41.12 (define @t407 () (@var "BOUND_VARIABLE_11747" $$unsorted)) % 40.86/41.12 (define @t408 () (@var "BOUND_VARIABLE_11745" $$unsorted)) % 40.86/41.12 (define @t409 () (@var "BOUND_VARIABLE_11743" $$unsorted)) % 40.86/41.12 (define @t410 () (@var "BOUND_VARIABLE_11741" $$unsorted)) % 40.86/41.12 (define @t411 () (@var "BOUND_VARIABLE_11739" $$unsorted)) % 40.86/41.12 (define @t412 () (forall (@list @t411 @t410 @t409 @t408 @t407 @t406 @t358 @t357 @t356) @t404)) % 40.86/41.12 (define @t413 () (or @t339 @t395 @t390)) % 40.86/41.12 (define @t414 () (@list @t369 @t368 @t367 @t365 @t364 @t363)) % 40.86/41.12 (define @t415 () (or @t339 @t394 @t393 @t392 @t391 @t389 @t388 @t387 @t386 @t385)) % 40.86/41.12 (define @t416 () (forall @t414 @t415)) % 40.86/41.12 (define @t417 () (@var "BOUND_VARIABLE_11706" $$unsorted)) % 40.86/41.12 (define @t418 () (@var "BOUND_VARIABLE_11704" $$unsorted)) % 40.86/41.12 (define @t419 () (@var "BOUND_VARIABLE_11702" $$unsorted)) % 40.86/41.12 (define @t420 () (forall (@list @t369 @t368 @t367 @t365 @t364 @t363 @t419 @t418 @t417) @t415)) % 40.86/41.12 (define @t421 () (@var "BOUND_VARIABLE_11651" $$unsorted)) % 40.86/41.12 (define @t422 () (@var "BOUND_VARIABLE_11649" $$unsorted)) % 40.86/41.12 (define @t423 () (@var "BOUND_VARIABLE_11647" $$unsorted)) % 40.86/41.12 (define @t424 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t423 tptp.nil) (tptp.cons @t422 tptp.nil)) @t421)))) % 40.86/41.12 (define @t425 () (not (tptp.ssList @t421))) % 40.86/41.12 (define @t426 () (not (tptp.ssItem @t422))) % 40.86/41.12 (define @t427 () (not (tptp.ssItem @t423))) % 40.86/41.12 (define @t428 () (or @t324 @t427 @t426 @t425 @t424)) % 40.86/41.12 (define @t429 () (@var "BOUND_VARIABLE_11627" $$unsorted)) % 40.86/41.12 (define @t430 () (@var "BOUND_VARIABLE_11625" $$unsorted)) % 40.86/41.12 (define @t431 () (@var "BOUND_VARIABLE_11623" $$unsorted)) % 40.86/41.12 (define @t432 () (@var "BOUND_VARIABLE_11608" $$unsorted)) % 40.86/41.12 (define @t433 () (@var "BOUND_VARIABLE_11606" $$unsorted)) % 40.86/41.12 (define @t434 () (@var "BOUND_VARIABLE_11604" $$unsorted)) % 40.86/41.12 (define @t435 () (@list @t434 @t433 @t432 @t431 @t430 @t429 @t423 @t422 @t421)) % 40.86/41.12 (define @t436 () (forall @t435 @t428)) % 40.86/41.12 (define @t437 () (@list @t434 @t433 @t432 @t431 @t430 @t429 @t423 @t422 @t421)) % 40.86/41.12 (define @t438 () (tptp.cons @t431 tptp.nil)) % 40.86/41.12 (define @t439 () (tptp.cons @t430 tptp.nil)) % 40.86/41.12 (define @t440 () (tptp.app (tptp.app @t439 @t438) @t429)) % 40.86/41.12 (define @t441 () (not (= @t1 (tptp.app (tptp.app @t438 @t439) @t429)))) % 40.86/41.12 (define @t442 () (not (tptp.ssList @t429))) % 40.86/41.12 (define @t443 () (not (tptp.ssItem @t430))) % 40.86/41.12 (define @t444 () (not (tptp.ssItem @t431))) % 40.86/41.12 (define @t445 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t434 tptp.nil) (tptp.cons @t433 tptp.nil)) @t432)))) % 40.86/41.12 (define @t446 () (not (tptp.ssList @t432))) % 40.86/41.12 (define @t447 () (not (tptp.ssItem @t433))) % 40.86/41.12 (define @t448 () (not (tptp.ssItem @t434))) % 40.86/41.12 (define @t449 () (or @t339 @t448 @t447 @t446 @t445 @t444 @t443 @t442 @t441 (not (= @t2 @t440)))) % 40.86/41.12 (define @t450 () (forall @t435 @t449)) % 40.86/41.12 (define @t451 () (and @t450 @t436)) % 40.86/41.12 (define @t452 () (and @t449 @t428)) % 40.86/41.12 (define @t453 () (forall @t435 @t452)) % 40.86/41.12 (define @t454 () (or @t270 @t453)) % 40.86/41.12 (define @t455 () (or @t270 @t452)) % 40.86/41.12 (define @t456 () (not (= @t2 @t2))) % 40.86/41.12 (define @t457 () (or @t270 @t456 @t452)) % 40.86/41.12 (define @t458 () (not (= @t12 @t440))) % 40.86/41.12 (define @t459 () (or @t339 @t448 @t447 @t446 @t445 @t444 @t443 @t442 @t441 @t458)) % 40.86/41.12 (define @t460 () (and @t459 @t428)) % 40.86/41.12 (define @t461 () (not @t15)) % 40.86/41.12 (define @t462 () (or @t211 @t461 @t211 @t460)) % 40.86/41.12 (define @t463 () (or @t461 @t211 @t460)) % 40.86/41.12 (define @t464 () (forall @t16 @t463)) % 40.86/41.12 (define @t465 () (forall @t435 @t464)) % 40.86/41.12 (define @t466 () (forall (@list @t434 @t433 @t432 @t431 @t430 @t429 @t423 @t422 @t421 @t12) @t463)) % 40.86/41.12 (define @t467 () (@list @t12 @t434 @t433 @t432 @t431 @t430 @t429 @t423 @t422 @t421)) % 40.86/41.12 (define @t468 () (or @t427 @t426 @t425 @t424)) % 40.86/41.12 (define @t469 () (or @t324 @t468)) % 40.86/41.12 (define @t470 () (or @t444 @t443 @t442 @t441 @t458)) % 40.86/41.12 (define @t471 () (or @t448 @t447 @t446 @t445)) % 40.86/41.12 (define @t472 () (or @t339 @t471 @t470)) % 40.86/41.12 (define @t473 () (and @t472 @t469)) % 40.86/41.12 (define @t474 () (or @t461 @t211 @t473)) % 40.86/41.12 (define @t475 () (forall @t467 @t474)) % 40.86/41.12 (define @t476 () (forall @t435 @t474)) % 40.86/41.12 (define @t477 () (@list @t423 @t422 @t421)) % 40.86/41.12 (define @t478 () (forall @t477 @t468)) % 40.86/41.12 (define @t479 () (@var "BOUND_VARIABLE_11564" $$unsorted)) % 40.86/41.12 (define @t480 () (@var "BOUND_VARIABLE_11562" $$unsorted)) % 40.86/41.12 (define @t481 () (@var "BOUND_VARIABLE_11560" $$unsorted)) % 40.86/41.12 (define @t482 () (or @t324 @t478)) % 40.86/41.12 (define @t483 () (forall @t477 @t469)) % 40.86/41.12 (define @t484 () (forall @t435 @t469)) % 40.86/41.12 (define @t485 () (forall (@list @t431 @t430 @t429) @t470)) % 40.86/41.12 (define @t486 () (@var "BOUND_VARIABLE_11509" $$unsorted)) % 40.86/41.12 (define @t487 () (@var "BOUND_VARIABLE_11507" $$unsorted)) % 40.86/41.12 (define @t488 () (@var "BOUND_VARIABLE_11505" $$unsorted)) % 40.86/41.12 (define @t489 () (forall (@list @t434 @t433 @t432) @t471)) % 40.86/41.12 (define @t490 () (@var "BOUND_VARIABLE_11503" $$unsorted)) % 40.86/41.12 (define @t491 () (@var "BOUND_VARIABLE_11501" $$unsorted)) % 40.86/41.12 (define @t492 () (@var "BOUND_VARIABLE_11499" $$unsorted)) % 40.86/41.12 (define @t493 () (or @t339 @t489 @t485)) % 40.86/41.12 (define @t494 () (forall (@list @t434 @t433 @t432 @t431 @t430 @t429) @t472)) % 40.86/41.12 (define @t495 () (forall @t435 @t472)) % 40.86/41.12 (define @t496 () (and @t495 @t484)) % 40.86/41.12 (define @t497 () (forall @t435 @t473)) % 40.86/41.12 (define @t498 () (or @t461 @t211 @t497)) % 40.86/41.12 (define @t499 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t481 tptp.nil) (tptp.cons @t480 tptp.nil)) @t479)))) % 40.86/41.12 (define @t500 () (not (tptp.ssList @t479))) % 40.86/41.12 (define @t501 () (not (tptp.ssItem @t480))) % 40.86/41.12 (define @t502 () (not (tptp.ssItem @t481))) % 40.86/41.12 (define @t503 () (or @t502 @t501 @t500 @t499)) % 40.86/41.12 (define @t504 () (@list @t481 @t480 @t479)) % 40.86/41.12 (define @t505 () (or @t324 (forall @t504 @t503))) % 40.86/41.12 (define @t506 () (tptp.cons @t488 tptp.nil)) % 40.86/41.12 (define @t507 () (tptp.cons @t487 tptp.nil)) % 40.86/41.12 (define @t508 () (not (= @t12 (tptp.app (tptp.app @t507 @t506) @t486)))) % 40.86/41.12 (define @t509 () (not (= @t1 (tptp.app (tptp.app @t506 @t507) @t486)))) % 40.86/41.12 (define @t510 () (not (tptp.ssList @t486))) % 40.86/41.12 (define @t511 () (not (tptp.ssItem @t487))) % 40.86/41.12 (define @t512 () (not (tptp.ssItem @t488))) % 40.86/41.12 (define @t513 () (or @t512 @t511 @t510 @t509 @t508)) % 40.86/41.12 (define @t514 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t492 tptp.nil) (tptp.cons @t491 tptp.nil)) @t490)))) % 40.86/41.12 (define @t515 () (not (tptp.ssList @t490))) % 40.86/41.12 (define @t516 () (not (tptp.ssItem @t491))) % 40.86/41.12 (define @t517 () (not (tptp.ssItem @t492))) % 40.86/41.12 (define @t518 () (or @t517 @t516 @t515 @t514)) % 40.86/41.12 (define @t519 () (or @t339 (forall (@list @t492 @t491 @t490) @t518) (forall (@list @t488 @t487 @t486) @t513))) % 40.86/41.12 (define @t520 () (and @t519 @t505)) % 40.86/41.12 (define @t521 () (or @t461 @t211 @t520)) % 40.86/41.12 (define @t522 () (forall @t16 @t521)) % 40.86/41.12 (define @t523 () (or @t341 @t522)) % 40.86/41.12 (define @t524 () (or @t341 @t521)) % 40.86/41.12 (define @t525 () (or @t461 @t211 @t341 @t520)) % 40.86/41.12 (define @t526 () (or @t211 @t341 @t520)) % 40.86/41.12 (define @t527 () (or @t324 @t503)) % 40.86/41.12 (define @t528 () (or @t324 @t502 @t501 @t500 @t499)) % 40.86/41.12 (define @t529 () (forall @t504 @t528)) % 40.86/41.12 (define @t530 () (@var "BOUND_VARIABLE_11558" $$unsorted)) % 40.86/41.12 (define @t531 () (@var "BOUND_VARIABLE_11556" $$unsorted)) % 40.86/41.12 (define @t532 () (@var "BOUND_VARIABLE_11554" $$unsorted)) % 40.86/41.12 (define @t533 () (@var "BOUND_VARIABLE_11552" $$unsorted)) % 40.86/41.12 (define @t534 () (@var "BOUND_VARIABLE_11550" $$unsorted)) % 40.86/41.12 (define @t535 () (@var "BOUND_VARIABLE_11548" $$unsorted)) % 40.86/41.12 (define @t536 () (forall (@list @t535 @t534 @t533 @t532 @t531 @t530 @t481 @t480 @t479) @t528)) % 40.86/41.12 (define @t537 () (or @t339 @t518 @t513)) % 40.86/41.12 (define @t538 () (@list @t492 @t491 @t490 @t488 @t487 @t486)) % 40.86/41.12 (define @t539 () (or @t339 @t517 @t516 @t515 @t514 @t512 @t511 @t510 @t509 @t508)) % 40.86/41.12 (define @t540 () (forall @t538 @t539)) % 40.86/41.12 (define @t541 () (@var "BOUND_VARIABLE_11515" $$unsorted)) % 40.86/41.12 (define @t542 () (@var "BOUND_VARIABLE_11513" $$unsorted)) % 40.86/41.12 (define @t543 () (@var "BOUND_VARIABLE_11511" $$unsorted)) % 40.86/41.12 (define @t544 () (forall (@list @t492 @t491 @t490 @t488 @t487 @t486 @t543 @t542 @t541) @t539)) % 40.86/41.12 (define @t545 () (@var "BOUND_VARIABLE_11456" $$unsorted)) % 40.86/41.12 (define @t546 () (@var "BOUND_VARIABLE_11454" $$unsorted)) % 40.86/41.12 (define @t547 () (@var "BOUND_VARIABLE_11452" $$unsorted)) % 40.86/41.12 (define @t548 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t547 tptp.nil) (tptp.cons @t546 tptp.nil)) @t545)))) % 40.86/41.12 (define @t549 () (not (tptp.ssList @t545))) % 40.86/41.12 (define @t550 () (not (tptp.ssItem @t546))) % 40.86/41.12 (define @t551 () (not (tptp.ssItem @t547))) % 40.86/41.12 (define @t552 () (or @t324 @t551 @t550 @t549 @t548)) % 40.86/41.12 (define @t553 () (@var "BOUND_VARIABLE_11432" $$unsorted)) % 40.86/41.12 (define @t554 () (@var "BOUND_VARIABLE_11430" $$unsorted)) % 40.86/41.12 (define @t555 () (@var "BOUND_VARIABLE_11428" $$unsorted)) % 40.86/41.12 (define @t556 () (@var "BOUND_VARIABLE_11413" $$unsorted)) % 40.86/41.12 (define @t557 () (@var "BOUND_VARIABLE_11411" $$unsorted)) % 40.86/41.12 (define @t558 () (@var "BOUND_VARIABLE_11409" $$unsorted)) % 40.86/41.12 (define @t559 () (@list @t558 @t557 @t556 @t555 @t554 @t553 @t547 @t546 @t545)) % 40.86/41.12 (define @t560 () (forall @t559 @t552)) % 40.86/41.12 (define @t561 () (@list @t558 @t557 @t556 @t555 @t554 @t553 @t547 @t546 @t545)) % 40.86/41.12 (define @t562 () (tptp.cons @t555 tptp.nil)) % 40.86/41.12 (define @t563 () (tptp.cons @t554 tptp.nil)) % 40.86/41.12 (define @t564 () (not (= @t12 (tptp.app (tptp.app @t563 @t562) @t553)))) % 40.86/41.12 (define @t565 () (tptp.app (tptp.app @t562 @t563) @t553)) % 40.86/41.12 (define @t566 () (not (tptp.ssList @t553))) % 40.86/41.12 (define @t567 () (not (tptp.ssItem @t554))) % 40.86/41.12 (define @t568 () (not (tptp.ssItem @t555))) % 40.86/41.12 (define @t569 () (not (= @t1 (tptp.app (tptp.app (tptp.cons @t558 tptp.nil) (tptp.cons @t557 tptp.nil)) @t556)))) % 40.86/41.12 (define @t570 () (not (tptp.ssList @t556))) % 40.86/41.12 (define @t571 () (not (tptp.ssItem @t557))) % 40.86/41.12 (define @t572 () (not (tptp.ssItem @t558))) % 40.86/41.12 (define @t573 () (or @t339 @t572 @t571 @t570 @t569 @t568 @t567 @t566 (not (= @t1 @t565)) @t564)) % 40.86/41.12 (define @t574 () (forall @t559 @t573)) % 40.86/41.12 (define @t575 () (and @t574 @t560)) % 40.86/41.12 (define @t576 () (and @t573 @t552)) % 40.86/41.12 (define @t577 () (forall @t559 @t576)) % 40.86/41.12 (define @t578 () (or @t341 @t577)) % 40.86/41.12 (define @t579 () (or @t341 @t576)) % 40.86/41.12 (define @t580 () (not (= @t1 @t1))) % 40.86/41.12 (define @t581 () (or @t341 @t580 @t576)) % 40.86/41.12 (define @t582 () (not (= @t10 @t233))) % 40.86/41.12 (define @t583 () (or @t236 @t235 @t234 @t582)) % 40.86/41.12 (define @t584 () (not (forall @t237 @t583))) % 40.86/41.12 (define @t585 () (or @t584 @t551 @t550 @t549 @t548)) % 40.86/41.12 (define @t586 () (not (= @t10 @t565))) % 40.86/41.12 (define @t587 () (or @t339 @t572 @t571 @t570 @t569 @t568 @t567 @t566 @t586 @t564)) % 40.86/41.12 (define @t588 () (and @t587 @t585)) % 40.86/41.12 (define @t589 () (or @t212 @t213 @t212 @t588)) % 40.86/41.12 (define @t590 () (or @t213 @t212 @t588)) % 40.86/41.12 (define @t591 () (forall @t14 @t590)) % 40.86/41.12 (define @t592 () (forall @t559 @t591)) % 40.86/41.12 (define @t593 () (forall (@list @t558 @t557 @t556 @t555 @t554 @t553 @t547 @t546 @t545 @t10) @t590)) % 40.86/41.12 (define @t594 () (@list @t10 @t558 @t557 @t556 @t555 @t554 @t553 @t547 @t546 @t545)) % 40.86/41.12 (define @t595 () (or @t551 @t550 @t549 @t548)) % 40.86/41.12 (define @t596 () (or @t584 @t595)) % 40.86/41.12 (define @t597 () (or @t568 @t567 @t566 @t586 @t564)) % 40.86/41.12 (define @t598 () (or @t572 @t571 @t570 @t569)) % 40.86/41.12 (define @t599 () (or @t339 @t598 @t597)) % 40.86/41.12 (define @t600 () (and @t599 @t596)) % 40.86/41.12 (define @t601 () (or @t213 @t212 @t600)) % 40.86/41.12 (define @t602 () (forall @t594 @t601)) % 40.86/41.12 (define @t603 () (forall @t559 @t601)) % 40.86/41.12 (define @t604 () (@list @t547 @t546 @t545)) % 40.86/41.12 (define @t605 () (forall @t604 @t595)) % 40.86/41.12 (define @t606 () (@var "BOUND_VARIABLE_11385" $$unsorted)) % 40.86/41.12 (define @t607 () (@var "BOUND_VARIABLE_11383" $$unsorted)) % 40.86/41.12 (define @t608 () (or @t584 @t605)) % 40.86/41.12 (define @t609 () (forall @t604 @t596)) % 40.86/41.12 (define @t610 () (forall @t559 @t596)) % 40.86/41.12 (define @t611 () (forall (@list @t555 @t554 @t553) @t597)) % 40.86/41.12 (define @t612 () (@var "BOUND_VARIABLE_11270" $$unsorted)) % 40.86/41.12 (define @t613 () (@var "BOUND_VARIABLE_11268" $$unsorted)) % 40.86/41.12 (define @t614 () (forall (@list @t558 @t557 @t556) @t598)) % 40.86/41.12 (define @t615 () (@var "BOUND_VARIABLE_11219" $$unsorted)) % 40.86/41.12 (define @t616 () (@var "BOUND_VARIABLE_11217" $$unsorted)) % 40.86/41.12 (define @t617 () (or @t339 @t614 @t611)) % 40.86/41.12 (define @t618 () (forall (@list @t558 @t557 @t556 @t555 @t554 @t553) @t599)) % 40.86/41.12 (define @t619 () (forall @t559 @t599)) % 40.86/41.12 (define @t620 () (and @t619 @t610)) % 40.86/41.12 (define @t621 () (forall @t559 @t600)) % 40.86/41.12 (define @t622 () (or @t213 @t212 @t621)) % 40.86/41.12 (define @t623 () (not (= @t1 (tptp.app (tptp.app @t103 (tptp.cons @t607 tptp.nil)) @t606)))) % 40.86/41.12 (define @t624 () (not (tptp.ssList @t606))) % 40.86/41.12 (define @t625 () (not (tptp.ssItem @t607))) % 40.86/41.12 (define @t626 () (not @t115)) % 40.86/41.12 (define @t627 () (or @t626 @t625 @t624 @t623)) % 40.86/41.12 (define @t628 () (@list @t102 @t607 @t606)) % 40.86/41.12 (define @t629 () (tptp.cons @t613 tptp.nil)) % 40.86/41.12 (define @t630 () (not (= @t12 (tptp.app (tptp.app @t629 @t140) @t612)))) % 40.86/41.12 (define @t631 () (not (= @t10 (tptp.app (tptp.app @t140 @t629) @t612)))) % 40.86/41.12 (define @t632 () (not (tptp.ssList @t612))) % 40.86/41.12 (define @t633 () (not (tptp.ssItem @t613))) % 40.86/41.12 (define @t634 () (not @t157)) % 40.86/41.12 (define @t635 () (or @t634 @t633 @t632 @t631 @t630)) % 40.86/41.12 (define @t636 () (@list @t139 @t613 @t612)) % 40.86/41.12 (define @t637 () (not (= @t1 (tptp.app (tptp.app @t164 (tptp.cons @t616 tptp.nil)) @t615)))) % 40.86/41.12 (define @t638 () (not (tptp.ssList @t615))) % 40.86/41.12 (define @t639 () (not (tptp.ssItem @t616))) % 40.86/41.12 (define @t640 () (not @t176)) % 40.86/41.12 (define @t641 () (or @t640 @t639 @t638 @t637)) % 40.86/41.12 (define @t642 () (@list @t163 @t616 @t615)) % 40.86/41.12 (define @t643 () (and (or @t339 (forall @t642 @t641) (forall @t636 @t635)) (or @t584 (forall @t628 @t627)))) % 40.86/41.12 (define @t644 () (or @t213 @t212 @t643)) % 40.86/41.12 (define @t645 () (forall @t14 @t644)) % 40.86/41.12 (define @t646 () (or @t211 @t645)) % 40.86/41.12 (define @t647 () (or @t211 @t644)) % 40.86/41.12 (define @t648 () (or @t213 @t212 @t211 @t643)) % 40.86/41.12 (define @t649 () (or @t625 @t624 @t623)) % 40.86/41.12 (define @t650 () (or @t626 @t649)) % 40.86/41.12 (define @t651 () (forall @t628 @t650)) % 40.86/41.12 (define @t652 () (@list @t607 @t606)) % 40.86/41.12 (define @t653 () (forall @t652 @t650)) % 40.86/41.12 (define @t654 () (forall @t652 @t649)) % 40.86/41.12 (define @t655 () (@var "BOUND_VARIABLE_11365" $$unsorted)) % 40.86/41.12 (define @t656 () (or @t626 @t654)) % 40.86/41.12 (define @t657 () (not (= @t1 (tptp.app @t104 @t655)))) % 40.86/41.12 (define @t658 () (not (tptp.ssList @t655))) % 40.86/41.12 (define @t659 () (not @t111)) % 40.86/41.12 (define @t660 () (or @t659 @t658 @t657)) % 40.86/41.12 (define @t661 () (@list @t101 @t655)) % 40.86/41.12 (define @t662 () (forall @t661 @t660)) % 40.86/41.12 (define @t663 () (or @t658 @t657)) % 40.86/41.12 (define @t664 () (or @t659 @t663)) % 40.86/41.12 (define @t665 () (forall @t661 @t664)) % 40.86/41.12 (define @t666 () (@list @t655)) % 40.86/41.12 (define @t667 () (forall @t666 @t664)) % 40.86/41.12 (define @t668 () (forall @t666 @t663)) % 40.86/41.12 (define @t669 () (or @t659 @t668)) % 40.86/41.12 (define @t670 () (not (= @t1 @t105))) % 40.86/41.12 (define @t671 () (forall @t109 (or (not @t107) @t670))) % 40.86/41.12 (define @t672 () (or @t235 @t234 @t582)) % 40.86/41.12 (define @t673 () (or @t236 @t672)) % 40.86/41.12 (define @t674 () (forall @t237 @t673)) % 40.86/41.12 (define @t675 () (@list @t232 @t231)) % 40.86/41.12 (define @t676 () (forall @t675 @t673)) % 40.86/41.12 (define @t677 () (forall @t675 @t672)) % 40.86/41.12 (define @t678 () (@var "BOUND_VARIABLE_11311" $$unsorted)) % 40.86/41.12 (define @t679 () (or @t236 @t677)) % 40.86/41.12 (define @t680 () (not (= @t10 (tptp.app @t123 @t678)))) % 40.86/41.12 (define @t681 () (not (tptp.ssList @t678))) % 40.86/41.12 (define @t682 () (not @t129)) % 40.86/41.12 (define @t683 () (or @t682 @t681 @t680)) % 40.86/41.12 (define @t684 () (@list @t120 @t678)) % 40.86/41.12 (define @t685 () (forall @t684 @t683)) % 40.86/41.12 (define @t686 () (not @t685)) % 40.86/41.12 (define @t687 () (and @t133 @t686)) % 40.86/41.12 (define @t688 () (forall @t135 (not @t687))) % 40.86/41.12 (define @t689 () (not @t688)) % 40.86/41.12 (define @t690 () (or @t681 @t680)) % 40.86/41.12 (define @t691 () (or @t682 @t690)) % 40.86/41.12 (define @t692 () (forall @t684 @t691)) % 40.86/41.12 (define @t693 () (@list @t678)) % 40.86/41.12 (define @t694 () (forall @t693 @t691)) % 40.86/41.12 (define @t695 () (forall @t693 @t690)) % 40.86/41.12 (define @t696 () (or @t682 @t695)) % 40.86/41.12 (define @t697 () (= @t10 @t124)) % 40.86/41.12 (define @t698 () (forall @t127 (or (not @t125) (not @t697)))) % 40.86/41.12 (define @t699 () (not @t698)) % 40.86/41.12 (define @t700 () (and @t129 @t699)) % 40.86/41.12 (define @t701 () (forall @t131 (not @t700))) % 40.86/41.12 (define @t702 () (not @t701)) % 40.86/41.12 (define @t703 () (and @t125 @t697)) % 40.86/41.12 (define @t704 () (forall @t127 (not @t703))) % 40.86/41.12 (define @t705 () (not @t704)) % 40.86/41.12 (define @t706 () (or @t633 @t632 @t631 @t630)) % 40.86/41.12 (define @t707 () (or @t634 @t706)) % 40.86/41.12 (define @t708 () (forall @t636 @t707)) % 40.86/41.12 (define @t709 () (@list @t613 @t612)) % 40.86/41.12 (define @t710 () (forall @t709 @t707)) % 40.86/41.12 (define @t711 () (forall @t709 @t706)) % 40.86/41.12 (define @t712 () (@var "BOUND_VARIABLE_11247" $$unsorted)) % 40.86/41.12 (define @t713 () (or @t634 @t711)) % 40.86/41.12 (define @t714 () (not (= @t12 (tptp.app @t143 @t712)))) % 40.86/41.12 (define @t715 () (not (= @t10 (tptp.app @t146 @t712)))) % 40.86/41.12 (define @t716 () (not (tptp.ssList @t712))) % 40.86/41.12 (define @t717 () (not @t153)) % 40.86/41.12 (define @t718 () (or @t717 @t716 @t715 @t714)) % 40.86/41.12 (define @t719 () (@list @t141 @t712)) % 40.86/41.12 (define @t720 () (forall @t719 @t718)) % 40.86/41.12 (define @t721 () (or @t716 @t715 @t714)) % 40.86/41.12 (define @t722 () (or @t717 @t721)) % 40.86/41.12 (define @t723 () (forall @t719 @t722)) % 40.86/41.12 (define @t724 () (@list @t712)) % 40.86/41.12 (define @t725 () (forall @t724 @t722)) % 40.86/41.12 (define @t726 () (forall @t724 @t721)) % 40.86/41.12 (define @t727 () (or @t717 @t726)) % 40.86/41.12 (define @t728 () (forall @t151 (or @t149 (not (= @t10 @t147)) (not (= @t12 @t144))))) % 40.86/41.12 (define @t729 () (or @t639 @t638 @t637)) % 40.86/41.12 (define @t730 () (or @t640 @t729)) % 40.86/41.12 (define @t731 () (forall @t642 @t730)) % 40.86/41.12 (define @t732 () (@list @t616 @t615)) % 40.86/41.12 (define @t733 () (forall @t732 @t730)) % 40.86/41.12 (define @t734 () (forall @t732 @t729)) % 40.86/41.12 (define @t735 () (@var "BOUND_VARIABLE_11199" $$unsorted)) % 40.86/41.12 (define @t736 () (or @t640 @t734)) % 40.86/41.12 (define @t737 () (not (= @t1 (tptp.app @t165 @t735)))) % 40.86/41.12 (define @t738 () (not (tptp.ssList @t735))) % 40.86/41.12 (define @t739 () (not @t172)) % 40.86/41.12 (define @t740 () (or @t739 @t738 @t737)) % 40.86/41.12 (define @t741 () (@list @t162 @t735)) % 40.86/41.12 (define @t742 () (forall @t741 @t740)) % 40.86/41.12 (define @t743 () (or @t738 @t737)) % 40.86/41.12 (define @t744 () (or @t739 @t743)) % 40.86/41.12 (define @t745 () (forall @t741 @t744)) % 40.86/41.12 (define @t746 () (@list @t735)) % 40.86/41.12 (define @t747 () (forall @t746 @t744)) % 40.86/41.12 (define @t748 () (forall @t746 @t743)) % 40.86/41.12 (define @t749 () (or @t739 @t748)) % 40.86/41.12 (define @t750 () (not (= @t1 @t166))) % 40.86/41.12 (define @t751 () (forall @t170 (or (not @t168) @t750))) % 40.86/41.12 (define @t752 () (or @t266 @t265 @t264 @t263 @t337 @t261)) % 40.86/41.12 (define @t753 () (or @t267 @t752)) % 40.86/41.12 (define @t754 () (forall @t268 @t753)) % 40.86/41.12 (define @t755 () (@list @t257 @t259 @t256 @t255)) % 40.86/41.12 (define @t756 () (forall @t755 @t753)) % 40.86/41.12 (define @t757 () (forall @t755 @t752)) % 40.86/41.12 (define @t758 () (@var "BOUND_VARIABLE_11116" $$unsorted)) % 40.86/41.12 (define @t759 () (@var "BOUND_VARIABLE_11114" $$unsorted)) % 40.86/41.12 (define @t760 () (@var "BOUND_VARIABLE_11112" $$unsorted)) % 40.86/41.12 (define @t761 () (or @t267 @t757)) % 40.86/41.12 (define @t762 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t760 @t183) @t759) @t181) @t758)))) % 40.86/41.12 (define @t763 () (not (= @t1 (tptp.app (tptp.app (tptp.app (tptp.app @t760 @t181) @t759) @t183) @t758)))) % 40.86/41.12 (define @t764 () (not (tptp.ssList @t758))) % 40.86/41.12 (define @t765 () (not (tptp.ssList @t759))) % 40.86/41.12 (define @t766 () (not (tptp.ssList @t760))) % 40.86/41.12 (define @t767 () (not @t203)) % 40.86/41.12 (define @t768 () (or @t767 @t766 @t765 @t764 @t763 @t762)) % 40.86/41.12 (define @t769 () (@list @t27 @t760 @t759 @t758)) % 40.86/41.12 (define @t770 () (forall @t769 @t768)) % 40.86/41.12 (define @t771 () (not @t770)) % 40.86/41.12 (define @t772 () (and @t206 @t771)) % 40.86/41.12 (define @t773 () (forall @t33 (not @t772))) % 40.86/41.12 (define @t774 () (not @t773)) % 40.86/41.12 (define @t775 () (or @t766 @t765 @t764 @t763 @t762)) % 40.86/41.12 (define @t776 () (or @t767 @t775)) % 40.86/41.12 (define @t777 () (forall @t769 @t776)) % 40.86/41.12 (define @t778 () (@list @t760 @t759 @t758)) % 40.86/41.12 (define @t779 () (forall @t778 @t776)) % 40.86/41.12 (define @t780 () (forall @t778 @t775)) % 40.86/41.12 (define @t781 () (@var "BOUND_VARIABLE_11081" $$unsorted)) % 40.86/41.12 (define @t782 () (@var "BOUND_VARIABLE_11079" $$unsorted)) % 40.86/41.12 (define @t783 () (or @t767 @t780)) % 40.86/41.12 (define @t784 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t185 @t782) @t181) @t781)))) % 40.86/41.12 (define @t785 () (not (= @t1 (tptp.app (tptp.app (tptp.app @t188 @t782) @t183) @t781)))) % 40.86/41.12 (define @t786 () (not (tptp.ssList @t781))) % 40.86/41.12 (define @t787 () (not (tptp.ssList @t782))) % 40.86/41.12 (define @t788 () (not @t199)) % 40.86/41.12 (define @t789 () (or @t788 @t787 @t786 @t785 @t784)) % 40.86/41.12 (define @t790 () (@list @t184 @t782 @t781)) % 40.86/41.12 (define @t791 () (forall @t790 @t789)) % 40.86/41.12 (define @t792 () (not @t791)) % 40.86/41.12 (define @t793 () (and @t203 @t792)) % 40.86/41.12 (define @t794 () (forall @t31 (not @t793))) % 40.86/41.12 (define @t795 () (not @t794)) % 40.86/41.12 (define @t796 () (or @t787 @t786 @t785 @t784)) % 40.86/41.12 (define @t797 () (or @t788 @t796)) % 40.86/41.12 (define @t798 () (forall @t790 @t797)) % 40.86/41.12 (define @t799 () (@list @t782 @t781)) % 40.86/41.12 (define @t800 () (forall @t799 @t797)) % 40.86/41.12 (define @t801 () (forall @t799 @t796)) % 40.86/41.12 (define @t802 () (@var "BOUND_VARIABLE_11054" $$unsorted)) % 40.86/41.12 (define @t803 () (or @t788 @t801)) % 40.86/41.12 (define @t804 () (not (= @t2 (tptp.app @t186 @t802)))) % 40.86/41.12 (define @t805 () (not (= @t1 (tptp.app @t189 @t802)))) % 40.86/41.12 (define @t806 () (not (tptp.ssList @t802))) % 40.86/41.12 (define @t807 () (not @t195)) % 40.86/41.12 (define @t808 () (or @t807 @t806 @t805 @t804)) % 40.86/41.12 (define @t809 () (@list @t182 @t802)) % 40.86/41.12 (define @t810 () (forall @t809 @t808)) % 40.86/41.12 (define @t811 () (not @t810)) % 40.86/41.12 (define @t812 () (and @t199 @t811)) % 40.86/41.12 (define @t813 () (forall @t201 (not @t812))) % 40.86/41.12 (define @t814 () (not @t813)) % 40.86/41.12 (define @t815 () (or @t806 @t805 @t804)) % 40.86/41.12 (define @t816 () (or @t807 @t815)) % 40.86/41.12 (define @t817 () (forall @t809 @t816)) % 40.86/41.12 (define @t818 () (@list @t802)) % 40.86/41.12 (define @t819 () (forall @t818 @t816)) % 40.86/41.12 (define @t820 () (forall @t818 @t815)) % 40.86/41.12 (define @t821 () (or @t807 @t820)) % 40.86/41.12 (define @t822 () (= @t2 @t187)) % 40.86/41.12 (define @t823 () (not @t822)) % 40.86/41.12 (define @t824 () (= @t1 @t190)) % 40.86/41.12 (define @t825 () (not @t824)) % 40.86/41.12 (define @t826 () (not @t191)) % 40.86/41.12 (define @t827 () (or @t826 @t825 @t823)) % 40.86/41.12 (define @t828 () (forall @t193 @t827)) % 40.86/41.12 (define @t829 () (not @t828)) % 40.86/41.12 (define @t830 () (and @t195 @t829)) % 40.86/41.12 (define @t831 () (forall @t197 (not @t830))) % 40.86/41.12 (define @t832 () (not @t831)) % 40.86/41.12 (define @t833 () (and @t191 @t824 @t822)) % 40.86/41.12 (define @t834 () (forall @t193 (not @t833))) % 40.86/41.12 (define @t835 () (not @t834)) % 40.86/41.12 (define @t836 () (@quantifiers_skolemize @t272 7)) % 40.86/41.12 (define @t837 () (@quantifiers_skolemize @t272 5)) % 40.86/41.12 (define @t838 () (tptp.cons @t837 tptp.nil)) % 40.86/41.12 (define @t839 () (@quantifiers_skolemize @t272 6)) % 40.86/41.12 (define @t840 () (tptp.cons @t839 tptp.nil)) % 40.86/41.12 (define @t841 () (tptp.app @t840 @t838)) % 40.86/41.12 (define @t842 () (tptp.app @t841 @t836)) % 40.86/41.12 (define @t843 () (@quantifiers_skolemize @t272 0)) % 40.86/41.12 (define @t844 () (= @t843 @t842)) % 40.86/41.12 (define @t845 () (not @t844)) % 40.86/41.12 (define @t846 () (tptp.app @t838 @t840)) % 40.86/41.12 (define @t847 () (tptp.app @t846 @t836)) % 40.86/41.12 (define @t848 () (= @t273 @t847)) % 40.86/41.12 (define @t849 () (not @t848)) % 40.86/41.12 (define @t850 () (tptp.ssList @t836)) % 40.86/41.12 (define @t851 () (not @t850)) % 40.86/41.12 (define @t852 () (tptp.ssItem @t839)) % 40.86/41.12 (define @t853 () (not @t852)) % 40.86/41.12 (define @t854 () (tptp.ssItem @t837)) % 40.86/41.12 (define @t855 () (not @t854)) % 40.86/41.12 (define @t856 () (@quantifiers_skolemize @t272 4)) % 40.86/41.12 (define @t857 () (@quantifiers_skolemize @t272 3)) % 40.86/41.12 (define @t858 () (tptp.cons @t857 tptp.nil)) % 40.86/41.12 (define @t859 () (@quantifiers_skolemize @t272 2)) % 40.86/41.12 (define @t860 () (tptp.cons @t859 tptp.nil)) % 40.86/41.12 (define @t861 () (tptp.app @t860 @t858)) % 40.86/41.12 (define @t862 () (tptp.app @t861 @t856)) % 40.86/41.12 (define @t863 () (= @t273 @t862)) % 40.86/41.12 (define @t864 () (not @t863)) % 40.86/41.12 (define @t865 () (tptp.ssList @t856)) % 40.86/41.12 (define @t866 () (not @t865)) % 40.86/41.12 (define @t867 () (tptp.ssItem @t857)) % 40.86/41.12 (define @t868 () (not @t867)) % 40.86/41.12 (define @t869 () (tptp.ssItem @t859)) % 40.86/41.12 (define @t870 () (not @t869)) % 40.86/41.12 (define @t871 () (not (= @t262 @t273))) % 40.86/41.12 (define @t872 () (forall @t268 (or @t267 @t266 @t265 @t264 @t263 @t871 (not (= @t260 @t843))))) % 40.86/41.12 (define @t873 () (not @t872)) % 40.86/41.12 (define @t874 () (or @t873 @t870 @t868 @t866 @t864 @t855 @t853 @t851 @t849 @t845)) % 40.86/41.12 (define @t875 () (and @t874 @t288)) % 40.86/41.12 (define @t876 () (not (tptp.ssList @t273))) % 40.86/41.12 (define @t877 () (not (tptp.ssList @t843))) % 40.86/41.12 (define @t878 () (or @t877 @t876 @t875)) % 40.86/41.12 (define @t879 () (not @t878)) % 40.86/41.12 (define @t880 () (not @t272)) % 40.86/41.12 (define @t881 () (not (= @t843 @t260))) % 40.86/41.12 (define @t882 () (or @t267 @t266 @t265 @t264 @t263 @t871 @t881)) % 40.86/41.12 (define @t883 () (forall @t268 @t882)) % 40.86/41.12 (define @t884 () (not @t883)) % 40.86/41.12 (define @t885 () (or @t884 @t870 @t868 @t866 @t864 @t855 @t853 @t851 @t849 @t845)) % 40.86/41.12 (define @t886 () (and @t885 @t288)) % 40.86/41.12 (define @t887 () (or @t877 @t876 @t886)) % 40.86/41.12 (define @t888 () (not @t887)) % 40.86/41.12 (define @t889 () (@list true)) % 40.86/41.12 (define @t890 () (@list @t874)) % 40.86/41.12 (define @t891 () (tptp.app tptp.nil @t840)) % 40.86/41.12 (define @t892 () (tptp.app (tptp.app (tptp.app @t891 tptp.nil) @t860) @t836)) % 40.86/41.12 (define @t893 () (not (= @t892 @t843))) % 40.86/41.12 (define @t894 () (tptp.app (tptp.app (tptp.app (tptp.app tptp.nil @t860) tptp.nil) @t840) @t836)) % 40.86/41.12 (define @t895 () (not (= @t894 @t273))) % 40.86/41.12 (define @t896 () (not @t42)) % 40.86/41.12 (define @t897 () (or @t870 @t853 @t896 @t896 @t851 @t895 @t893)) % 40.86/41.12 (define @t898 () (= @t843 @t892)) % 40.86/41.12 (define @t899 () (not @t898)) % 40.86/41.12 (define @t900 () (= @t273 @t894)) % 40.86/41.12 (define @t901 () (not @t900)) % 40.86/41.12 (define @t902 () (or @t870 @t853 @t896 @t896 @t851 @t901 @t899)) % 40.86/41.12 (define @t903 () (@list false)) % 40.86/41.12 (define @t904 () (@var "BOUND_VARIABLE_9231" $$unsorted)) % 40.86/41.12 (define @t905 () (tptp.ssList (tptp.cons @t904 @t2))) % 40.86/41.12 (define @t906 () (not (tptp.ssItem @t904))) % 40.86/41.12 (define @t907 () (or @t270 @t906 @t905)) % 40.86/41.12 (define @t908 () (or @t906 @t905)) % 40.86/41.12 (define @t909 () (or @t270 @t908)) % 40.86/41.12 (define @t910 () (@list @t2 @t904)) % 40.86/41.12 (define @t911 () (forall @t910 @t909)) % 40.86/41.12 (define @t912 () (@list @t904)) % 40.86/41.12 (define @t913 () (forall @t912 @t909)) % 40.86/41.12 (define @t914 () (forall @t912 @t908)) % 40.86/41.12 (define @t915 () (@list @t1)) % 40.86/41.12 (define @t916 () (or @t270 @t914)) % 40.86/41.12 (define @t917 () (not @t6)) % 40.86/41.12 (define @t918 () (forall @t7 (or @t917 @t38))) % 40.86/41.12 (define @t919 () (forall @t910 @t907)) % 40.86/41.12 (define @t920 () (tptp.ssList @t858)) % 40.86/41.12 (define @t921 () (or @t896 @t868 @t920)) % 40.86/41.12 (define @t922 () (@list tptp.nil @t859)) % 40.86/41.12 (define @t923 () (tptp.ssList @t860)) % 40.86/41.12 (define @t924 () (or @t896 @t870 @t923)) % 40.86/41.12 (define @t925 () (@var "BOUND_VARIABLE_9475" $$unsorted)) % 40.86/41.12 (define @t926 () (tptp.ssList (tptp.app @t2 @t925))) % 40.86/41.12 (define @t927 () (not (tptp.ssList @t925))) % 40.86/41.12 (define @t928 () (or @t270 @t927 @t926)) % 40.86/41.12 (define @t929 () (or @t927 @t926)) % 40.86/41.12 (define @t930 () (or @t270 @t929)) % 40.86/41.12 (define @t931 () (@list @t2 @t925)) % 40.86/41.12 (define @t932 () (forall @t931 @t930)) % 40.86/41.12 (define @t933 () (@list @t925)) % 40.86/41.12 (define @t934 () (forall @t933 @t930)) % 40.86/41.12 (define @t935 () (forall @t933 @t929)) % 40.86/41.12 (define @t936 () (or @t270 @t935)) % 40.86/41.12 (define @t937 () (forall @t7 (or @t341 @t60))) % 40.86/41.12 (define @t938 () (forall @t931 @t928)) % 40.86/41.12 (define @t939 () (@list @t860 @t858)) % 40.86/41.12 (define @t940 () (tptp.ssList @t861)) % 40.86/41.12 (define @t941 () (not @t920)) % 40.86/41.12 (define @t942 () (not @t923)) % 40.86/41.12 (define @t943 () (or @t942 @t941 @t940)) % 40.86/41.12 (define @t944 () (@var "BOUND_VARIABLE_10743" $$unsorted)) % 40.86/41.12 (define @t945 () (= @t51 (tptp.hd (tptp.app @t2 @t944)))) % 40.86/41.12 (define @t946 () (not (tptp.ssList @t944))) % 40.86/41.12 (define @t947 () (= @t2 tptp.nil)) % 40.86/41.12 (define @t948 () (or @t270 @t947 @t946 @t945)) % 40.86/41.12 (define @t949 () (or @t946 @t945)) % 40.86/41.12 (define @t950 () (or @t270 @t947 @t949)) % 40.86/41.12 (define @t951 () (@list @t2 @t944)) % 40.86/41.12 (define @t952 () (forall @t951 @t950)) % 40.86/41.12 (define @t953 () (@list @t944)) % 40.86/41.12 (define @t954 () (forall @t953 @t950)) % 40.86/41.12 (define @t955 () (forall @t953 @t949)) % 40.86/41.12 (define @t956 () (or @t270 @t947 @t955)) % 40.86/41.12 (define @t957 () (= @t51 @t94)) % 40.86/41.12 (define @t958 () (or @t341 @t957)) % 40.86/41.12 (define @t959 () (forall @t7 @t958)) % 40.86/41.12 (define @t960 () (or @t270 @t947 @t959)) % 40.86/41.12 (define @t961 () (or @t947 @t959)) % 40.86/41.12 (define @t962 () (or @t947 @t958)) % 40.86/41.12 (define @t963 () (or @t341 @t947 @t957)) % 40.86/41.12 (define @t964 () (not @t947)) % 40.86/41.12 (define @t965 () (=> @t964 @t957)) % 40.86/41.12 (define @t966 () (tptp.hd @t861)) % 40.86/41.12 (define @t967 () (= @t966 (tptp.hd @t862))) % 40.86/41.12 (define @t968 () (not @t940)) % 40.86/41.12 (define @t969 () (or @t968 (= @t861 tptp.nil) @t866 @t967)) % 40.86/41.12 (define @t970 () (forall @t951 @t948)) % 40.86/41.12 (define @t971 () (@var "BOUND_VARIABLE_10703" $$unsorted)) % 40.86/41.12 (define @t972 () (and (= @t971 tptp.nil) @t947)) % 40.86/41.12 (define @t973 () (= tptp.nil (tptp.app @t2 @t971))) % 40.86/41.12 (define @t974 () (= @t973 @t972)) % 40.86/41.12 (define @t975 () (not (tptp.ssList @t971))) % 40.86/41.12 (define @t976 () (or @t270 @t975 @t974)) % 40.86/41.12 (define @t977 () (or @t975 @t974)) % 40.86/41.12 (define @t978 () (or @t270 @t977)) % 40.86/41.12 (define @t979 () (@list @t2 @t971)) % 40.86/41.12 (define @t980 () (forall @t979 @t978)) % 40.86/41.12 (define @t981 () (@list @t971)) % 40.86/41.12 (define @t982 () (forall @t981 @t978)) % 40.86/41.12 (define @t983 () (forall @t981 @t977)) % 40.86/41.12 (define @t984 () (or @t270 @t983)) % 40.86/41.12 (define @t985 () (= @t88 (and (= @t1 tptp.nil) @t947))) % 40.86/41.12 (define @t986 () (forall @t7 (or @t341 @t985))) % 40.86/41.12 (define @t987 () (= tptp.nil @t858)) % 40.86/41.12 (define @t988 () (= @t860 tptp.nil)) % 40.86/41.12 (define @t989 () (and @t987 @t988)) % 40.86/41.12 (define @t990 () (= tptp.nil @t861)) % 40.86/41.12 (define @t991 () (= @t990 @t989)) % 40.86/41.12 (define @t992 () (or @t942 @t941 @t991)) % 40.86/41.12 (define @t993 () (forall @t979 (or @t270 @t975 (= @t973 (and (= tptp.nil @t971) @t947))))) % 40.86/41.12 (define @t994 () (= tptp.nil @t860)) % 40.86/41.12 (define @t995 () (and @t987 @t994)) % 40.86/41.12 (define @t996 () (= @t990 @t995)) % 40.86/41.12 (define @t997 () (or @t942 @t941 @t996)) % 40.86/41.12 (define @t998 () (@var "BOUND_VARIABLE_9254" $$unsorted)) % 40.86/41.12 (define @t999 () (not (= @t2 (tptp.cons @t998 @t2)))) % 40.86/41.12 (define @t1000 () (not (tptp.ssItem @t998))) % 40.86/41.12 (define @t1001 () (or @t270 @t1000 @t999)) % 40.86/41.12 (define @t1002 () (or @t1000 @t999)) % 40.86/41.12 (define @t1003 () (or @t270 @t1002)) % 40.86/41.12 (define @t1004 () (@list @t2 @t998)) % 40.86/41.12 (define @t1005 () (forall @t1004 @t1003)) % 40.86/41.12 (define @t1006 () (@list @t998)) % 40.86/41.12 (define @t1007 () (forall @t1006 @t1003)) % 40.86/41.12 (define @t1008 () (forall @t1006 @t1002)) % 40.86/41.12 (define @t1009 () (or @t270 @t1008)) % 40.86/41.12 (define @t1010 () (not (= @t2 @t37))) % 40.86/41.12 (define @t1011 () (forall @t7 (or @t917 @t1010))) % 40.86/41.12 (define @t1012 () (forall @t1004 @t1001)) % 40.86/41.12 (define @t1013 () (not @t994)) % 40.86/41.12 (define @t1014 () (or @t896 @t870 @t1013)) % 40.86/41.12 (define @t1015 () (or @t968 @t990 @t866 @t967)) % 40.86/41.12 (define @t1016 () (tptp.hd @t860)) % 40.86/41.12 (define @t1017 () (= @t1016 @t966)) % 40.86/41.13 (define @t1018 () (or @t942 @t988 @t941 @t1017)) % 40.86/41.13 (define @t1019 () (or @t942 @t994 @t941 @t1017)) % 40.86/41.13 (define @t1020 () (or @t870 @t868 @t866 @t864)) % 40.86/41.13 (define @t1021 () (not (= @t862 @t273))) % 40.86/41.13 (define @t1022 () (or @t870 @t868 @t866 @t1021)) % 40.86/41.13 (define @t1023 () (@list tptp.nil @t837)) % 40.86/41.13 (define @t1024 () (= tptp.nil @t838)) % 40.86/41.13 (define @t1025 () (not @t1024)) % 40.86/41.13 (define @t1026 () (or @t896 @t855 @t1025)) % 40.86/41.13 (define @t1027 () (tptp.ssList @t838)) % 40.86/41.13 (define @t1028 () (or @t896 @t855 @t1027)) % 40.86/41.13 (define @t1029 () (@var "BOUND_VARIABLE_9425" $$unsorted)) % 40.86/41.13 (define @t1030 () (= @t1029 (tptp.hd (tptp.cons @t1029 @t2)))) % 40.86/41.13 (define @t1031 () (not (tptp.ssItem @t1029))) % 40.86/41.13 (define @t1032 () (or @t270 @t1031 @t1030)) % 40.86/41.13 (define @t1033 () (or @t1031 @t1030)) % 40.86/41.13 (define @t1034 () (or @t270 @t1033)) % 40.86/41.13 (define @t1035 () (@list @t2 @t1029)) % 40.86/41.13 (define @t1036 () (forall @t1035 @t1034)) % 40.86/41.13 (define @t1037 () (@list @t1029)) % 40.86/41.13 (define @t1038 () (forall @t1037 @t1034)) % 40.86/41.13 (define @t1039 () (forall @t1037 @t1033)) % 40.86/41.13 (define @t1040 () (or @t270 @t1039)) % 40.86/41.13 (define @t1041 () (= @t1 @t53)) % 40.86/41.13 (define @t1042 () (forall @t7 (or @t917 @t1041))) % 40.86/41.13 (define @t1043 () (tptp.hd @t838)) % 40.86/41.13 (define @t1044 () (= @t837 @t1043)) % 40.86/41.13 (define @t1045 () (or @t896 @t855 @t1044)) % 40.86/41.13 (define @t1046 () (@var "BOUND_VARIABLE_10634" $$unsorted)) % 40.86/41.13 (define @t1047 () (= (tptp.cons @t1046 @t2) (tptp.app (tptp.cons @t1046 tptp.nil) @t2))) % 40.86/41.13 (define @t1048 () (not (tptp.ssItem @t1046))) % 40.86/41.13 (define @t1049 () (or @t270 @t1048 @t1047)) % 40.86/41.13 (define @t1050 () (or @t1048 @t1047)) % 40.86/41.13 (define @t1051 () (or @t270 @t1050)) % 40.86/41.13 (define @t1052 () (@list @t2 @t1046)) % 40.86/41.13 (define @t1053 () (forall @t1052 @t1051)) % 40.86/41.13 (define @t1054 () (@list @t1046)) % 40.86/41.13 (define @t1055 () (forall @t1054 @t1051)) % 40.86/41.13 (define @t1056 () (forall @t1054 @t1050)) % 40.86/41.13 (define @t1057 () (or @t270 @t1056)) % 40.86/41.13 (define @t1058 () (forall @t7 (or @t917 @t83))) % 40.86/41.13 (define @t1059 () (tptp.app @t838 tptp.nil)) % 40.86/41.13 (define @t1060 () (= @t838 @t1059)) % 40.86/41.13 (define @t1061 () (or @t896 @t855 @t1060)) % 40.86/41.13 (define @t1062 () (@list tptp.nil @t839)) % 40.86/41.13 (define @t1063 () (tptp.ssList @t840)) % 40.86/41.13 (define @t1064 () (or @t896 @t853 @t1063)) % 40.86/41.13 (define @t1065 () (= tptp.nil @t840)) % 40.86/41.13 (define @t1066 () (and @t1065 @t1024)) % 40.86/41.13 (define @t1067 () (= @t2 @t65)) % 40.86/41.13 (define @t1068 () (tptp.app tptp.nil @t838)) % 40.86/41.13 (define @t1069 () (= @t838 @t1068)) % 40.86/41.13 (define @t1070 () (not @t1027)) % 40.86/41.13 (define @t1071 () (or @t1070 @t1069)) % 40.86/41.13 (define @t1072 () (@list @t838 @t840)) % 40.86/41.13 (define @t1073 () (tptp.ssList @t846)) % 40.86/41.13 (define @t1074 () (not @t1063)) % 40.86/41.13 (define @t1075 () (or @t1070 @t1074 @t1073)) % 40.86/41.13 (define @t1076 () (= @t838 tptp.nil)) % 40.86/41.13 (define @t1077 () (and @t1065 @t1076)) % 40.86/41.13 (define @t1078 () (= tptp.nil @t846)) % 40.86/41.13 (define @t1079 () (= @t1078 @t1077)) % 40.86/41.13 (define @t1080 () (or @t1070 @t1074 @t1079)) % 40.86/41.13 (define @t1081 () (= @t1078 @t1066)) % 40.86/41.13 (define @t1082 () (or @t1070 @t1074 @t1081)) % 40.86/41.13 (define @t1083 () (tptp.hd @t846)) % 40.86/41.13 (define @t1084 () (= @t1043 @t1083)) % 40.86/41.13 (define @t1085 () (or @t1070 @t1076 @t1074 @t1084)) % 40.86/41.13 (define @t1086 () (or @t1070 @t1024 @t1074 @t1084)) % 40.86/41.13 (define @t1087 () (@list @t970)) % 40.86/41.13 (define @t1088 () (forall @t1035 @t1032)) % 40.86/41.13 (define @t1089 () (= @t859 @t1016)) % 40.86/41.13 (define @t1090 () (or @t896 @t870 @t1089)) % 40.86/41.13 (define @t1091 () (forall @t9 (or @t270 @t1067))) % 40.86/41.13 (define @t1092 () (= @t840 @t891)) % 40.86/41.13 (define @t1093 () (or @t1074 @t1092)) % 40.86/41.13 (define @t1094 () (forall @t1052 @t1049)) % 40.86/41.13 (define @t1095 () (tptp.app @t840 tptp.nil)) % 40.86/41.13 (define @t1096 () (= @t840 @t1095)) % 40.86/41.13 (define @t1097 () (or @t896 @t853 @t1096)) % 40.86/41.13 (define @t1098 () (tptp.hd @t847)) % 40.86/41.13 (define @t1099 () (= @t1083 @t1098)) % 40.86/41.13 (define @t1100 () (tptp.hd @t273)) % 40.86/41.13 (define @t1101 () (and @t863 @t848 @t1089 @t1044 @t1060 @t1017 @t967 @t1084 @t1099 @t1069)) % 40.86/41.13 (define @t1102 () (not @t902)) % 40.86/41.13 (define @t1103 () (not @t1092)) % 40.86/41.13 (define @t1104 () (not @t1099)) % 40.86/41.13 (define @t1105 () (not @t1084)) % 40.86/41.13 (define @t1106 () (not @t967)) % 40.86/41.13 (define @t1107 () (not @t1017)) % 40.86/41.13 (define @t1108 () (not @t1096)) % 40.86/41.13 (define @t1109 () (not @t1044)) % 40.86/41.13 (define @t1110 () (not @t1089)) % 40.86/41.13 (define @t1111 () (and @t863 @t848 @t1089 @t1044 @t1096 @t1017 @t967 @t1084 @t1099 @t1092 @t899)) % 40.86/41.13 (define @t1112 () (tptp.app (tptp.app @t860 @t840) @t836)) % 40.86/41.13 (define @t1113 () (not (= @t1112 @t273))) % 40.86/41.13 (define @t1114 () (or @t870 @t853 @t851 @t1113)) % 40.86/41.13 (define @t1115 () (= @t273 @t1112)) % 40.86/41.13 (define @t1116 () (not @t1115)) % 40.86/41.13 (define @t1117 () (or @t870 @t853 @t851 @t1116)) % 40.86/41.13 (define @t1118 () (and @t1116 @t1115)) % 40.86/41.13 (define @t1119 () (not @t1073)) % 40.86/41.13 (define @t1120 () (or @t1119 (= @t846 tptp.nil) @t851 @t1099)) % 40.86/41.13 (define @t1121 () (or @t1119 @t1078 @t851 @t1099)) % 40.86/41.13 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 40.86/41.13 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 40.86/41.13 (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))))))))))) % 40.86/41.13 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 40.86/41.13 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 40.86/41.13 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 40.86/41.13 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 40.86/41.13 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 40.86/41.13 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 40.86/41.13 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 40.86/41.13 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 40.86/41.13 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 40.86/41.13 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 40.86/41.13 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 40.86/41.13 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 40.86/41.13 (assume @p16 @t41) % 40.86/41.13 (assume @p17 @t42) % 40.86/41.13 (assume @p18 @t47) % 40.86/41.13 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t48))))))))))) % 40.86/41.13 (assume @p20 (forall @t9 (=> @t17 (or @t50 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t49 @t2))))))))) % 40.86/41.13 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 40.86/41.13 (assume @p22 (forall @t9 (=> @t17 (=> @t52 (tptp.ssItem @t51))))) % 40.86/41.13 (assume @p23 @t57) % 40.86/41.13 (assume @p24 (forall @t9 (=> @t17 (=> @t52 (tptp.ssList @t58))))) % 40.86/41.13 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 40.86/41.13 (assume @p26 @t63) % 40.86/41.13 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t64) (tptp.app @t49 @t2))))))))) % 40.86/41.13 (assume @p28 @t67) % 40.86/41.13 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t69 @t68) @t3)))))) % 40.86/41.13 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t69 @t26) (tptp.leq @t2 @t12))))))))) % 40.86/41.13 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 40.86/41.13 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 @t68)))))) % 40.86/41.13 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (not @t71))))))) % 40.86/41.13 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 @t35) @t73)))))))) % 40.86/41.13 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t74 @t71)))))) % 40.86/41.13 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t75))))))))) % 40.86/41.13 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t75))))))))) % 40.86/41.13 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 40.86/41.13 (assume @p39 (not (tptp.singletonP tptp.nil))) % 40.86/41.13 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 40.86/41.13 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 40.86/41.13 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 40.86/41.13 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 40.86/41.13 (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)))))))))))) % 40.86/41.13 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 40.86/41.13 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t50)))) % 40.86/41.13 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 40.86/41.13 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 40.86/41.13 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 40.86/41.13 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t76 @t1))))))))) % 40.86/41.13 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 40.86/41.13 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t50)))) % 40.86/41.13 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 40.86/41.13 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 40.86/41.13 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 40.86/41.13 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t76 @t10) @t1))))))))))) % 40.86/41.13 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 40.86/41.13 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t50)))) % 40.86/41.13 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t77)))) % 40.86/41.13 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 40.86/41.13 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t77)))) % 40.86/41.13 (assume @p62 (tptp.totalorderP tptp.nil)) % 40.86/41.13 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t77)))) % 40.86/41.13 (assume @p64 (tptp.strictorderP tptp.nil)) % 40.86/41.13 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t77)))) % 40.86/41.13 (assume @p66 (tptp.totalorderedP tptp.nil)) % 40.86/41.13 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t81) (or @t79 (and @t80 (tptp.totalorderedP @t1) (tptp.leq @t2 @t78))))))))) % 40.86/41.13 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t77)))) % 40.86/41.13 (assume @p69 (tptp.strictorderedP tptp.nil)) % 40.86/41.13 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t81) (or @t79 (and @t80 (tptp.strictorderedP @t1) (tptp.lt @t2 @t78))))))))) % 40.86/41.13 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t77)))) % 40.86/41.13 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 40.86/41.13 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t77)))) % 40.86/41.13 (assume @p74 (tptp.equalelemsP tptp.nil)) % 40.86/41.13 (assume @p75 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t6 (= @t51 @t1))))))) % 40.86/41.13 (assume @p76 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t21 (= @t58 @t1))))))) % 40.86/41.13 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t80 @t52 (= @t78 @t51) (= (tptp.tl @t1) @t58)) @t48)))))) % 40.86/41.13 (assume @p78 (forall @t9 (=> @t17 (=> @t52 (= (tptp.cons @t51 @t58) @t2))))) % 40.86/41.13 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t59) @t82)))))))) % 40.86/41.13 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t64) @t82)))))))) % 40.86/41.13 (assume @p81 @t86) % 40.86/41.13 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t59 @t12) (tptp.app @t2 @t19))))))))) % 40.86/41.13 (assume @p83 @t93) % 40.86/41.13 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 40.86/41.13 (assume @p85 @t99) % 40.86/41.13 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t52 (= (tptp.tl @t59) (tptp.app @t58 @t1)))))))) % 40.86/41.13 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t70 (tptp.geq @t1 @t2)) @t3)))))) % 40.86/41.13 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t70 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 40.86/41.13 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 40.86/41.13 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 40.86/41.13 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t69 @t35) @t73)))))))) % 40.86/41.13 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t69 (or @t3 @t72))))))) % 40.86/41.13 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 (and @t4 @t69))))))) % 40.86/41.13 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (not (tptp.gt @t1 @t2)))))))) % 40.86/41.13 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t74 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 40.86/41.13 (assume @p96 @t222) % 40.86/41.13 (assume @p97 true) % 40.86/41.13 (step @p98 :rule bool-double-not-elim :args (@t274)) % 40.86/41.13 (step @p99 :rule refl :args (@t288)) % 40.86/41.13 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t288 (not @t287)))) % 40.86/41.13 (step @p101 :rule cnf_or_neg :args (@t288 0)) % 40.86/41.13 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 40.86/41.13 (step @p103 :rule reordering :premises (@p102) :args ((or @t274 @t288))) % 40.86/41.13 (step @p104 :rule bool-double-not-elim :args (@t285)) % 40.86/41.13 (step @p105 :rule nary_cong :premises (@p99 @p104) :args ((or @t288 (not @t286)))) % 40.86/41.13 (step @p106 :rule cnf_or_neg :args (@t288 1)) % 40.86/41.13 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 40.86/41.13 (step @p108 :rule reordering :premises (@p107) :args ((or @t285 @t288))) % 40.86/41.13 (step @p109 :rule bool-double-not-elim :args (@t283)) % 40.86/41.13 (step @p110 :rule nary_cong :premises (@p99 @p109) :args ((or @t288 (not @t284)))) % 40.86/41.13 (step @p111 :rule cnf_or_neg :args (@t288 2)) % 40.86/41.13 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 40.86/41.13 (step @p113 :rule reordering :premises (@p112) :args ((or @t283 @t288))) % 40.86/41.13 (step @p114 :rule bool-double-not-elim :args (@t281)) % 40.86/41.13 (step @p115 :rule nary_cong :premises (@p99 @p114) :args ((or @t288 (not @t282)))) % 40.86/41.13 (step @p116 :rule cnf_or_neg :args (@t288 3)) % 40.86/41.13 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 40.86/41.13 (step @p118 :rule reordering :premises (@p117) :args ((or @t281 @t288))) % 40.86/41.13 (step @p119 :rule bool-double-not-elim :args (@t279)) % 40.86/41.13 (step @p120 :rule nary_cong :premises (@p99 @p119) :args ((or @t288 (not @t280)))) % 40.86/41.13 (step @p121 :rule cnf_or_neg :args (@t288 4)) % 40.86/41.13 (step @p122 :rule eq_resolve :premises (@p121 @p120)) % 40.86/41.13 (step @p123 :rule reordering :premises (@p122) :args ((or @t279 @t288))) % 40.86/41.13 (step @p124 :rule cnf_or_pos :args (@t289)) % 40.86/41.13 (step @p125 :rule reordering :premises (@p124) :args ((or @t286 @t284 @t282 @t280 (not @t289)))) % 40.86/41.13 (step @p126 :rule eq-symm :args (@t278 @t273)) % 40.86/41.13 (step @p127 :rule cong :premises (@p126) :args (@t290)) % 40.86/41.13 (step @p128 :rule refl :args (@t282)) % 40.86/41.13 (step @p129 :rule refl :args (@t284)) % 40.86/41.13 (step @p130 :rule refl :args (@t286)) % 40.86/41.13 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128 @p127) :args (@t291)) % 40.86/41.13 (step @p132 :rule refl :args (@t274)) % 40.86/41.13 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t274 @t291))) % 40.86/41.13 (assume-push @p1473 @t274) % 40.86/41.13 (step @p135 :rule instantiate :premises (@p1473) :args ((@list @t277 @t276 @t275))) % 40.86/41.13 (step-pop @p1474 :rule scope :premises (@p135)) % 40.86/41.13 (step @p136 :rule process_scope :premises (@p1474) :args (@t291)) % 40.86/41.13 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 40.86/41.13 (step @p139 :rule implies_elim :premises (@p138)) % 40.86/41.13 (step @p140 :rule chain_m_resolution :premises (@p139 @p125 @p123 @p118 @p113 @p108 @p103) :args (@t288 (@list true false false false false false) (@list @t289 @t279 @t281 @t283 @t285 @t274))) % 40.86/41.13 (step @p141 :rule refl :args (@t227)) % 40.86/41.13 (step @p142 :rule refl :args (@t228)) % 40.86/41.13 (step @p143 :rule refl :args (@t229)) % 40.86/41.13 (step @p144 :rule refl :args (@t230)) % 40.86/41.13 (step @p145 :rule eq-symm :args (@t226 @t233)) % 40.86/41.13 (step @p146 :rule cong :premises (@p145) :args (@t292)) % 40.86/41.13 (step @p147 :rule refl :args (@t234)) % 40.86/41.13 (step @p148 :rule refl :args (@t235)) % 40.86/41.13 (step @p149 :rule refl :args (@t236)) % 40.86/41.13 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147 @p146) :args (@t293)) % 40.86/41.13 (step @p151 :rule cong :premises (@p150) :args (@t294)) % 40.86/41.13 (step @p152 :rule cong :premises (@p151) :args (@t295)) % 40.86/41.13 (step @p153 :rule nary_cong :premises (@p152 @p144 @p143 @p142 @p141) :args (@t296)) % 40.86/41.13 (step @p154 :rule refl :args (@t243)) % 40.86/41.13 (step @p155 :rule refl :args (@t244)) % 40.86/41.13 (step @p156 :rule refl :args (@t245)) % 40.86/41.13 (step @p157 :rule refl :args (@t246)) % 40.86/41.13 (step @p158 :rule refl :args (@t247)) % 40.86/41.13 (step @p159 :rule refl :args (@t251)) % 40.86/41.13 (step @p160 :rule refl :args (@t252)) % 40.86/41.13 (step @p161 :rule refl :args (@t253)) % 40.86/41.13 (step @p162 :rule refl :args (@t254)) % 40.86/41.13 (step @p163 :rule refl :args (@t261)) % 40.86/41.13 (step @p164 :rule eq-symm :args (@t226 @t262)) % 40.86/41.13 (step @p165 :rule cong :premises (@p164) :args (@t297)) % 40.86/41.13 (step @p166 :rule refl :args (@t263)) % 40.86/41.13 (step @p167 :rule refl :args (@t264)) % 40.86/41.13 (step @p168 :rule refl :args (@t265)) % 40.86/41.13 (step @p169 :rule refl :args (@t266)) % 40.86/41.13 (step @p170 :rule refl :args (@t267)) % 40.86/41.13 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168 @p167 @p166 @p165 @p163) :args (@t298)) % 40.86/41.13 (step @p172 :rule cong :premises (@p171) :args (@t299)) % 40.86/41.13 (step @p173 :rule cong :premises (@p172) :args (@t300)) % 40.86/41.13 (step @p174 :rule nary_cong :premises (@p173 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154) :args (@t301)) % 40.86/41.13 (step @p175 :rule nary_cong :premises (@p174 @p153) :args (@t302)) % 40.86/41.13 (step @p176 :rule refl :args (@t269)) % 40.86/41.13 (step @p177 :rule refl :args (@t270)) % 40.86/41.13 (step @p178 :rule nary_cong :premises (@p177 @p176 @p175) :args (@t303)) % 40.86/41.13 (step @p179 :rule aci_norm :args ((= @t305 @t303))) % 40.86/41.13 (step @p180 :rule trans :premises (@p179 @p178)) % 40.86/41.13 (step @p181 :rule cong :premises (@p180) :args (@t306)) % 40.86/41.13 (step @p182 :rule quant-merge-prenex :args ((= (forall @t9 @t308) @t306))) % 40.86/41.13 (step @p183 :rule alpha_equiv :args (@t309 (@list @t226 @t250 @t249 @t248 @t239 @t241 @t238 @t225 @t224 @t223) (@list @t1 @t318 @t317 @t316 @t315 @t314 @t313 @t312 @t311 @t310))) % 40.86/41.13 (step @p184 :rule refl :args (@t270)) % 40.86/41.13 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t319)) % 40.86/41.13 (step @p186 :rule quant-miniscope-or :args ((= @t308 @t319))) % 40.86/41.13 (step @p187 :rule trans :premises (@p186 @p185)) % 40.86/41.13 (step @p188 :rule symm :premises (@p187)) % 40.86/41.13 (step @p189 :rule cong :premises (@p188) :args ((forall @t9 @t343))) % 40.86/41.13 (step @p190 :rule trans :premises (@p189 @p182)) % 40.86/41.13 (step @p191 :rule trans :premises (@p190 @p181)) % 40.86/41.13 (step @p192 :rule aci_norm :args ((= (or @t270 @t343) @t343))) % 40.86/41.13 (step @p193 :rule bool-impl-elim :args (@t17 @t343)) % 40.86/41.13 (step @p194 :rule trans :premises (@p193 @p192)) % 40.86/41.13 (step @p195 :rule cong :premises (@p194) :args ((forall @t9 (=> @t17 @t343)))) % 40.86/41.13 (step @p196 :rule trans :premises (@p195 @p191)) % 40.86/41.13 (step @p197 :rule aci_norm :args ((= @t345 @t325))) % 40.86/41.13 (step @p198 :rule aci_norm :args ((= @t348 @t340))) % 40.86/41.13 (step @p199 :rule nary_cong :premises (@p198 @p197) :args (@t349)) % 40.86/41.13 (step @p200 :rule refl :args (@t341)) % 40.86/41.13 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t350)) % 40.86/41.13 (step @p202 :rule cong :premises (@p201) :args (@t351)) % 40.86/41.13 (step @p203 :rule quant-merge-prenex :args ((= (forall @t7 @t353) @t351))) % 40.86/41.13 (step @p204 :rule alpha_equiv :args (@t355 (@list @t312 @t311 @t310) (@list @t358 @t357 @t356))) % 40.86/41.13 (step @p205 :rule refl :args (@t324)) % 40.86/41.13 (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t359)) % 40.86/41.13 (step @p207 :rule quant-miniscope-or :args ((= @t360 @t359))) % 40.86/41.13 (step @p208 :rule quant-unused-vars :args ((= @t361 @t360))) % 40.86/41.13 (step @p209 :rule trans :premises (@p208 @p207)) % 40.86/41.13 (step @p210 :rule trans :premises (@p209 @p206)) % 40.86/41.13 (step @p211 :rule alpha_equiv :args (@t362 (@list @t315 @t314 @t313) (@list @t365 @t364 @t363))) % 40.86/41.13 (step @p212 :rule alpha_equiv :args (@t366 (@list @t318 @t317 @t316) (@list @t369 @t368 @t367))) % 40.86/41.13 (step @p213 :rule refl :args (@t339)) % 40.86/41.13 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211) :args (@t370)) % 40.86/41.13 (step @p215 :rule quant-miniscope-or :args ((= @t371 @t370))) % 40.86/41.13 (step @p216 :rule quant-unused-vars :args ((= @t372 @t371))) % 40.86/41.13 (step @p217 :rule trans :premises (@p216 @p215)) % 40.86/41.13 (step @p218 :rule trans :premises (@p217 @p214)) % 40.86/41.13 (step @p219 :rule nary_cong :premises (@p218 @p210) :args (@t373)) % 40.86/41.13 (step @p220 :rule quant-miniscope-and :args ((= @t374 @t373))) % 40.86/41.13 (step @p221 :rule trans :premises (@p220 @p219)) % 40.86/41.13 (step @p222 :rule refl :args (@t341)) % 40.86/41.13 (step @p223 :rule nary_cong :premises (@p222 @p221) :args (@t375)) % 40.86/41.13 (step @p224 :rule quant-miniscope-or :args ((= @t353 @t375))) % 40.86/41.13 (step @p225 :rule trans :premises (@p224 @p223)) % 40.86/41.13 (step @p226 :rule symm :premises (@p225)) % 40.86/41.13 (step @p227 :rule cong :premises (@p226) :args (@t399)) % 40.86/41.13 (step @p228 :rule trans :premises (@p227 @p203)) % 40.86/41.13 (step @p229 :rule trans :premises (@p228 @p202)) % 40.86/41.13 (step @p230 :rule nary_cong :premises (@p177 @p229) :args (@t400)) % 40.86/41.13 (step @p231 :rule quant-miniscope-or :args ((= (forall @t7 @t401) @t400))) % 40.86/41.13 (step @p232 :rule aci_norm :args ((= @t402 @t401))) % 40.86/41.13 (step @p233 :rule cong :premises (@p232) :args ((forall @t7 @t402))) % 40.86/41.13 (step @p234 :rule trans :premises (@p233 @p231)) % 40.86/41.13 (step @p235 :rule trans :premises (@p234 @p230)) % 40.86/41.13 (step @p236 :rule aci_norm :args ((= (or @t341 @t402) @t402))) % 40.86/41.13 (step @p237 :rule bool-impl-elim :args (@t21 @t402)) % 40.86/41.13 (step @p238 :rule trans :premises (@p237 @p236)) % 40.86/41.13 (step @p239 :rule cong :premises (@p238) :args ((forall @t7 (=> @t21 @t402)))) % 40.86/41.13 (step @p240 :rule trans :premises (@p239 @p235)) % 40.86/41.13 (step @p241 :rule aci_norm :args ((= (or @t341 (or @t270 @t397)) @t402))) % 40.86/41.13 (step @p242 :rule quant-miniscope-or :args ((= (forall @t381 @t403) @t382))) % 40.86/41.13 (step @p243 :rule aci_norm :args ((= @t404 @t403))) % 40.86/41.13 (step @p244 :rule cong :premises (@p243) :args (@t405)) % 40.86/41.13 (step @p245 :rule quant-unused-vars :args ((= @t412 @t405))) % 40.86/41.13 (step @p246 :rule trans :premises (@p245 @p244 @p242)) % 40.86/41.13 (step @p247 :rule quant-miniscope-or :args ((= (forall @t414 @t413) @t396))) % 40.86/41.13 (step @p248 :rule aci_norm :args ((= @t415 @t413))) % 40.86/41.13 (step @p249 :rule cong :premises (@p248) :args (@t416)) % 40.86/41.13 (step @p250 :rule quant-unused-vars :args ((= @t420 @t416))) % 40.86/41.13 (step @p251 :rule trans :premises (@p250 @p249 @p247)) % 40.86/41.13 (step @p252 :rule nary_cong 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@p1354 :rule modus_ponens :premises (@p1353 @p1341)) % 40.86/41.13 (step-pop @p1580 :rule scope :premises (@p1354)) % 40.86/41.13 (step-pop @p1581 :rule scope :premises (@p1580)) % 40.86/41.13 (step-pop @p1582 :rule scope :premises (@p1581)) % 40.86/41.13 (step-pop @p1583 :rule scope :premises (@p1582)) % 40.86/41.13 (step-pop @p1584 :rule scope :premises (@p1583)) % 40.86/41.13 (step-pop @p1585 :rule scope :premises (@p1584)) % 40.86/41.13 (step-pop @p1586 :rule scope :premises (@p1585)) % 40.86/41.13 (step-pop @p1587 :rule scope :premises (@p1586)) % 40.86/41.13 (step-pop @p1588 :rule scope :premises (@p1587)) % 40.86/41.13 (step-pop @p1589 :rule scope :premises (@p1588)) % 40.86/41.13 (step-pop @p1590 :rule scope :premises (@p1589)) % 40.86/41.13 (step @p1355 :rule process_scope :premises (@p1590) :args (@t845)) % 40.86/41.13 (step @p1367 :rule implies_elim :premises (@p1355)) % 40.86/41.13 (step @p1368 :rule cnf_and_neg :args (@t1111)) % 40.86/41.13 (step @p1369 :rule resolution :premises (@p1368 @p1367) :args (true @t1111)) % 40.86/41.13 (step @p1370 :rule eq_resolve :premises (@p1369 @p1298)) % 40.86/41.13 (step @p1371 :rule reordering :premises (@p1370) :args ((or @t864 @t849 @t845 @t1110 @t1109 @t1108 @t1107 @t1106 @t1105 @t1104 @t1103 @t898))) % 40.86/41.13 (step @p1372 :rule bool-double-not-elim :args (@t844)) % 40.86/41.13 (step @p1373 :rule nary_cong :premises (@p793 @p1372) :args ((or @t874 (not @t845)))) % 40.86/41.13 (step @p1374 :rule cnf_or_neg :args (@t874 9)) % 40.86/41.13 (step @p1375 :rule eq_resolve :premises (@p1374 @p1373)) % 40.86/41.13 (step @p1376 :rule reordering :premises (@p1375) :args ((or @t844 @t874))) % 40.86/41.13 (step @p1377 :rule eq-symm :args (@t1112 @t273)) % 40.86/41.13 (step @p1378 :rule cong :premises (@p1377) :args (@t1113)) % 40.86/41.13 (step @p1379 :rule nary_cong :premises (@p765 @p760 @p759 @p1378) :args (@t1114)) % 40.86/41.13 (step @p1380 :rule cong :premises (@p132 @p1379) :args ((=> @t274 @t1114))) % 40.86/41.13 (assume-push @p1591 @t274) % 40.86/41.13 (step @p1382 :rule instantiate :premises (@p1591) :args ((@list @t859 @t839 @t836))) % 40.86/41.13 (step-pop @p1592 :rule scope :premises (@p1382)) % 40.86/41.13 (step @p1383 :rule process_scope :premises (@p1592) :args (@t1114)) % 40.86/41.13 (step @p1385 :rule eq_resolve :premises (@p1383 @p1380)) % 40.86/41.13 (step @p1386 :rule implies_elim :premises (@p1385)) % 40.86/41.13 (step @p1387 :rule cnf_or_pos :args (@t1117)) % 40.86/41.13 (step @p1388 :rule reordering :premises (@p1387) :args ((or @t870 @t853 @t851 @t1116 (not @t1117)))) % 40.86/41.13 (step @p1389 :rule bool-double-not-elim :args (@t1115)) % 40.86/41.13 (step @p1390 :rule nary_cong :premises (@p762 @p758 @p1297 @p1296 @p1294 @p1293 @p1292 @p1291 @p1389) :args ((or @t864 @t849 @t1110 @t1109 @t1107 @t1106 @t1105 @t1104 (not @t1116)))) % 40.86/41.13 (assume-push @p1593 @t1116) % 40.86/41.13 (assume-push @p1594 @t1115) % 40.86/41.13 (step @p1393 :rule evaluate :args ((= true false))) % 40.86/41.13 (step @p1394 :rule false_intro :premises (@p1593)) % 40.86/41.13 (step @p1395 :rule true_intro :premises (@p1594)) % 40.86/41.13 (step @p1396 :rule symm :premises (@p1395)) % 40.86/41.13 (step @p1397 :rule trans :premises (@p1396 @p1394)) % 40.86/41.13 (step @p1398 false :rule eq_resolve :premises (@p1397 @p1393)) % 40.86/41.13 (step-pop @p1595 :rule scope :premises (@p1398)) % 40.86/41.13 (step-pop @p1596 :rule scope :premises (@p1595)) % 40.86/41.13 (step @p1399 :rule process_scope :premises (@p1596) :args (false)) % 40.86/41.13 (assume-push @p1597 @t863) % 40.86/41.13 (assume-push @p1598 @t848) % 40.86/41.13 (assume-push @p1599 @t1089) % 40.86/41.13 (assume-push @p1600 @t1044) % 40.86/41.13 (assume-push @p1601 @t1017) % 40.86/41.13 (assume-push @p1602 @t967) % 40.86/41.13 (assume-push @p1603 @t1084) % 40.86/41.13 (assume-push @p1604 @t1099) % 40.86/41.13 (assume-push @p1605 @t1116) % 40.86/41.13 (assume-push @p1606 @t1089) % 40.86/41.13 (assume-push @p1607 @t1017) % 40.86/41.13 (assume-push @p1608 @t967) % 40.86/41.13 (assume-push @p1609 @t863) % 40.86/41.13 (assume-push @p1610 @t848) % 40.86/41.13 (assume-push @p1611 @t1099) % 40.86/41.13 (assume-push @p1612 @t1084) % 40.86/41.13 (assume-push @p1613 @t1044) % 40.86/41.13 (step @p1241 :rule refl :args (@t836)) % 40.86/41.13 (step @p1242 :rule refl :args (@t840)) % 40.86/41.13 (step @p1243 :rule refl :args (tptp.nil)) % 40.86/41.13 (step @p1419 :rule symm :premises (@p1599)) % 40.86/41.13 (step @p1420 :rule symm :premises (@p1601)) % 40.86/41.13 (step @p1421 :rule symm :premises (@p1602)) % 40.86/41.13 (step @p1422 :rule cong :premises (@p1597) :args (@t1100)) % 40.86/41.13 (step @p1423 :rule symm :premises (@p1598)) % 40.86/41.13 (step @p1424 :rule cong :premises (@p1423) :args (@t1098)) % 40.86/41.13 (step @p1425 :rule trans :premises (@p1600 @p1603 @p1604 @p1424 @p1422 @p1421 @p1420 @p1419)) % 40.86/41.13 (step @p1426 :rule cong :premises (@p1425 @p1243) :args (@t838)) % 40.86/41.13 (step @p1427 :rule cong :premises (@p1426 @p1242) :args (@t846)) % 40.86/41.13 (step @p1428 :rule cong :premises (@p1427 @p1241) :args (@t847)) % 40.86/41.13 (step @p1429 :rule trans :premises (@p1598 @p1428)) % 40.86/41.13 (step-pop @p1614 :rule scope :premises (@p1429)) % 40.86/41.13 (step-pop @p1615 :rule scope :premises (@p1614)) % 40.86/41.13 (step-pop @p1616 :rule scope :premises (@p1615)) % 40.86/41.13 (step-pop @p1617 :rule scope :premises (@p1616)) % 40.86/41.13 (step-pop @p1618 :rule scope :premises (@p1617)) % 40.86/41.13 (step-pop @p1619 :rule scope :premises (@p1618)) % 40.86/41.13 (step-pop @p1620 :rule scope :premises (@p1619)) % 40.86/41.13 (step-pop @p1621 :rule scope :premises (@p1620)) % 40.86/41.13 (step @p1430 :rule process_scope :premises (@p1621) :args (@t1115)) % 40.86/41.13 (step @p1439 :rule and_intro :premises (@p1599 @p1601 @p1602 @p1597 @p1598 @p1604 @p1603 @p1600)) % 40.86/41.13 (step @p1440 :rule modus_ponens :premises (@p1439 @p1430)) % 40.86/41.13 (step @p1441 :rule and_intro :premises (@p1605 @p1440)) % 40.86/41.13 (step-pop @p1622 :rule scope :premises (@p1441)) % 40.86/41.13 (step-pop @p1623 :rule scope :premises (@p1622)) % 40.86/41.13 (step-pop @p1624 :rule scope :premises (@p1623)) % 40.86/41.13 (step-pop @p1625 :rule scope :premises (@p1624)) % 40.86/41.13 (step-pop @p1626 :rule scope :premises (@p1625)) % 40.86/41.13 (step-pop @p1627 :rule scope :premises (@p1626)) % 40.86/41.13 (step-pop @p1628 :rule scope :premises (@p1627)) % 40.86/41.13 (step-pop @p1629 :rule scope :premises (@p1628)) % 40.86/41.13 (step-pop @p1630 :rule scope :premises (@p1629)) % 40.86/41.13 (step @p1442 :rule process_scope :premises (@p1630) :args (@t1118)) % 40.86/41.13 (step @p1452 :rule implies_elim :premises (@p1442)) % 40.86/41.13 (step @p1453 :rule resolution :premises (@p1452 @p1399) :args (true @t1118)) % 40.86/41.13 (step @p1454 :rule not_and :premises (@p1453)) % 40.86/41.13 (step @p1455 :rule eq_resolve :premises (@p1454 @p1390)) % 40.86/41.13 (step @p1456 :rule chain_m_resolution :premises (@p1455 @p1388 @p1386 @p103 @p790 @p789 @p1376 @p1371 @p1288 @p17 @p1285 @p1220 @p1218 @p1142 @p1213 @p1211 @p1157 @p1148 @p1206 @p857 @p1202 @p17 @p1200 @p1119) :args ((or @t870 @t864 @t853 @t851 @t849 @t1109 (not @t1060) @t1107 @t1106 @t1105 @t1104 (not @t1069) @t1102) (@list true false false true true false true true false false false false false false false false false false false false false false false) (@list @t1115 @t1117 @t274 @t288 @t875 @t874 @t844 @t898 @t42 @t900 @t1096 @t1097 @t1094 @t1092 @t1093 @t1091 @t1063 @t1064 @t919 @t1089 @t42 @t1090 @t1088))) % 40.86/41.13 (step @p1457 :rule refl :args (@t1099)) % 40.86/41.13 (step @p1458 :rule eq-symm :args (@t846 tptp.nil)) % 40.86/41.13 (step @p1459 :rule refl :args (@t1119)) % 40.86/41.13 (step @p1460 :rule nary_cong :premises (@p1459 @p1458 @p759 @p1457) :args (@t1120)) % 40.86/41.13 (step @p1461 :rule cong :premises (@p947 @p1460) :args ((=> @t970 @t1120))) % 40.86/41.13 (assume-push @p1631 @t970) % 40.86/41.13 (step @p1463 :rule instantiate :premises (@p942) :args ((@list @t846 @t836))) % 40.86/41.13 (step-pop @p1632 :rule scope :premises (@p1463)) % 40.86/41.13 (step @p1464 :rule process_scope :premises (@p1632) :args (@t1120)) % 40.86/41.13 (step @p1466 :rule eq_resolve :premises (@p1464 @p1461)) % 40.86/41.13 (step @p1467 :rule implies_elim :premises (@p1466)) % 40.86/41.13 (step @p1468 :rule chain_m_resolution :premises (@p1467 @p942) :args (@t1121 @t903 @t1087)) % 40.86/41.13 (step @p1469 :rule cnf_or_pos :args (@t1121)) % 40.86/41.13 (step @p1470 :rule reordering :premises (@p1469) :args ((or @t851 @t1078 @t1119 @t1099 (not @t1121)))) % 40.86/41.13 (step @p1471 :rule chain_m_resolution :premises (@p1470 @p1468 @p1456 @p1195 @p1193 @p1191 @p1181 @p1179 @p1163 @p1161 @p1160 @p1158 @p1150 @p1148 @p1146 @p17 @p1145 @p1143 @p17 @p1122 @p1120 @p17 @p1095 @p1093 @p17 @p1092 @p1090 @p17 @p1089 @p1084 @p1079 @p1074 @p790 @p789 @p103 @p1069 @p1059 @p1057 @p1055 @p1046 @p1044 @p1042 @p1040 @p1038 @p1033 @p1007 @p1005 @p989 @p954 @p942 @p898 @p896 @p891 @p871 @p869 @p864 @p17 @p862 @p857) :args ((or @t870 @t868 @t866 @t864 @t1102) (@list false true true false false false false false false false false true false false false false false false false false false false false false true false false false false false false true true false true true false false false true true true false false false false false false false false false false false false false false false false) (@list @t1121 @t1099 @t1078 @t1084 @t1086 @t1081 @t1082 @t1073 @t1075 @t1069 @t1071 @t1066 @t1063 @t1064 @t42 @t1060 @t1061 @t42 @t1044 @t1045 @t42 @t1027 @t1028 @t42 @t1024 @t1026 @t42 @t848 @t850 @t852 @t854 @t874 @t875 @t288 @t274 @t1020 @t1017 @t1019 @t967 @t990 @t995 @t994 @t1014 @t1012 @t996 @t997 @t993 @t1015 @t970 @t940 @t943 @t938 @t923 @t924 @t920 @t42 @t921 @t919))) % 40.86/41.13 (step @p1472 false :rule chain_m_resolution :premises (@p1471 @p837 @p831 @p825 @p804 @p798) :args (false (@list false false false false false) (@list @t863 @t865 @t902 @t869 @t867))) % 40.86/41.13 ) % 40.86/41.13 % SZS output end Proof % 40.86/41.13 % cvc5 exiting %------------------------------------------------------------------------------