%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC274+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 : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:41 AM UTC 2026 % Result : Theorem 0.95s 1.18s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC274+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n019.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:35:19 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.95/1.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.95/1.18 % SZS status Theorem % 0.95/1.18 % SZS output start Proof % 0.95/1.18 ( % 0.95/1.18 (declare-sort $$unsorted 0) % 0.95/1.18 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.nil $$unsorted) % 0.95/1.18 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (define @t1 () (@var "V" $$unsorted)) % 0.95/1.18 (define @t2 () (@var "U" $$unsorted)) % 0.95/1.18 (define @t3 () (= @t2 @t1)) % 0.95/1.18 (define @t4 () (not @t3)) % 0.95/1.18 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.95/1.18 (define @t6 () (tptp.ssItem @t1)) % 0.95/1.18 (define @t7 () (@list @t1)) % 0.95/1.18 (define @t8 () (tptp.ssItem @t2)) % 0.95/1.18 (define @t9 () (@list @t2)) % 0.95/1.18 (define @t10 () (@var "X" $$unsorted)) % 0.95/1.18 (define @t11 () (tptp.cons @t1 @t10)) % 0.95/1.18 (define @t12 () (@var "W" $$unsorted)) % 0.95/1.18 (define @t13 () (tptp.ssList @t10)) % 0.95/1.18 (define @t14 () (@list @t10)) % 0.95/1.18 (define @t15 () (tptp.ssList @t12)) % 0.95/1.18 (define @t16 () (@list @t12)) % 0.95/1.18 (define @t17 () (tptp.ssList @t2)) % 0.95/1.18 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.95/1.18 (define @t19 () (tptp.app @t1 @t12)) % 0.95/1.18 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.95/1.18 (define @t21 () (tptp.ssList @t1)) % 0.95/1.18 (define @t22 () (tptp.app @t12 @t1)) % 0.95/1.18 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.95/1.18 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.95/1.18 (define @t25 () (tptp.leq @t12 @t1)) % 0.95/1.18 (define @t26 () (tptp.leq @t1 @t12)) % 0.95/1.18 (define @t27 () (@var "Z" $$unsorted)) % 0.95/1.18 (define @t28 () (@var "Y" $$unsorted)) % 0.95/1.18 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 0.95/1.18 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 0.95/1.18 (define @t31 () (= @t30 @t2)) % 0.95/1.18 (define @t32 () (tptp.ssList @t27)) % 0.95/1.18 (define @t33 () (@list @t27)) % 0.95/1.18 (define @t34 () (tptp.ssList @t28)) % 0.95/1.18 (define @t35 () (@list @t28)) % 0.95/1.18 (define @t36 () (tptp.ssItem @t12)) % 0.95/1.18 (define @t37 () (tptp.lt @t1 @t12)) % 0.95/1.18 (define @t38 () (=> @t31 @t26)) % 0.95/1.18 (define @t39 () (=> @t32 @t38)) % 0.95/1.18 (define @t40 () (forall @t33 @t39)) % 0.95/1.18 (define @t41 () (=> @t34 @t40)) % 0.95/1.18 (define @t42 () (forall @t35 @t41)) % 0.95/1.18 (define @t43 () (=> @t13 @t42)) % 0.95/1.18 (define @t44 () (forall @t14 @t43)) % 0.95/1.18 (define @t45 () (=> @t36 @t44)) % 0.95/1.18 (define @t46 () (forall @t16 @t45)) % 0.95/1.18 (define @t47 () (=> @t6 @t46)) % 0.95/1.18 (define @t48 () (forall @t7 @t47)) % 0.95/1.18 (define @t49 () (tptp.totalorderedP @t2)) % 0.95/1.18 (define @t50 () (= @t49 @t48)) % 0.95/1.18 (define @t51 () (=> @t17 @t50)) % 0.95/1.18 (define @t52 () (forall @t9 @t51)) % 0.95/1.18 (define @t53 () (=> @t31 @t37)) % 0.95/1.18 (define @t54 () (=> @t32 @t53)) % 0.95/1.18 (define @t55 () (forall @t33 @t54)) % 0.95/1.18 (define @t56 () (=> @t34 @t55)) % 0.95/1.18 (define @t57 () (forall @t35 @t56)) % 0.95/1.18 (define @t58 () (=> @t13 @t57)) % 0.95/1.18 (define @t59 () (forall @t14 @t58)) % 0.95/1.18 (define @t60 () (=> @t36 @t59)) % 0.95/1.18 (define @t61 () (forall @t16 @t60)) % 0.95/1.18 (define @t62 () (=> @t6 @t61)) % 0.95/1.18 (define @t63 () (forall @t7 @t62)) % 0.95/1.18 (define @t64 () (tptp.strictorderedP @t2)) % 0.95/1.18 (define @t65 () (= @t64 @t63)) % 0.95/1.18 (define @t66 () (=> @t17 @t65)) % 0.95/1.18 (define @t67 () (forall @t9 @t66)) % 0.95/1.18 (define @t68 () (= @t1 @t12)) % 0.95/1.18 (define @t69 () (tptp.cons @t1 @t2)) % 0.95/1.18 (define @t70 () (= @t1 @t2)) % 0.95/1.18 (define @t71 () (tptp.cons @t12 @t1)) % 0.95/1.18 (define @t72 () (= tptp.nil @t2)) % 0.95/1.18 (define @t73 () (tptp.hd @t2)) % 0.95/1.18 (define @t74 () (not @t72)) % 0.95/1.18 (define @t75 () (tptp.tl @t2)) % 0.95/1.18 (define @t76 () (tptp.app @t2 @t1)) % 0.95/1.18 (define @t77 () (tptp.app @t1 @t2)) % 0.95/1.18 (define @t78 () (tptp.leq @t1 @t2)) % 0.95/1.18 (define @t79 () (tptp.leq @t2 @t1)) % 0.95/1.18 (define @t80 () (tptp.geq @t2 @t1)) % 0.95/1.18 (define @t81 () (tptp.lt @t1 @t2)) % 0.95/1.18 (define @t82 () (tptp.lt @t2 @t1)) % 0.95/1.18 (define @t83 () (tptp.lt @t2 @t12)) % 0.95/1.18 (define @t84 () (tptp.gt @t2 @t1)) % 0.95/1.18 (define @t85 () (tptp.memberP @t12 @t2)) % 0.95/1.18 (define @t86 () (tptp.app @t12 @t2)) % 0.95/1.18 (define @t87 () (tptp.cons @t2 tptp.nil)) % 0.95/1.18 (define @t88 () (tptp.hd @t1)) % 0.95/1.18 (define @t89 () (= tptp.nil @t1)) % 0.95/1.18 (define @t90 () (not @t89)) % 0.95/1.18 (define @t91 () (tptp.cons @t2 @t1)) % 0.95/1.18 (define @t92 () (= @t12 @t2)) % 0.95/1.18 (define @t93 () (= @t82 (and @t4 @t79))) % 0.95/1.18 (define @t94 () (forall @t7 (=> @t6 @t93))) % 0.95/1.18 (define @t95 () (=> @t8 @t94)) % 0.95/1.18 (define @t96 () (forall @t9 @t95)) % 0.95/1.18 (define @t97 () (not (= tptp.nil @t10))) % 0.95/1.18 (define @t98 () (and @t97 (= tptp.nil @t12))) % 0.95/1.18 (define @t99 () (@var "X5" $$unsorted)) % 0.95/1.18 (define @t100 () (@var "X7" $$unsorted)) % 0.95/1.18 (define @t101 () (tptp.lt @t100 @t99)) % 0.95/1.18 (define @t102 () (tptp.cons @t100 tptp.nil)) % 0.95/1.18 (define @t103 () (@var "X8" $$unsorted)) % 0.95/1.18 (define @t104 () (tptp.app @t103 @t102)) % 0.95/1.18 (define @t105 () (tptp.ssList @t103)) % 0.95/1.18 (define @t106 () (and @t105 (= @t104 @t12) @t101)) % 0.95/1.18 (define @t107 () (@list @t103)) % 0.95/1.18 (define @t108 () (exists @t107 @t106)) % 0.95/1.18 (define @t109 () (tptp.ssItem @t100)) % 0.95/1.18 (define @t110 () (and @t109 @t108)) % 0.95/1.18 (define @t111 () (@list @t100)) % 0.95/1.18 (define @t112 () (exists @t111 @t110)) % 0.95/1.18 (define @t113 () (@var "X6" $$unsorted)) % 0.95/1.18 (define @t114 () (tptp.cons @t99 tptp.nil)) % 0.95/1.18 (define @t115 () (tptp.app @t114 @t113)) % 0.95/1.18 (define @t116 () (tptp.ssList @t113)) % 0.95/1.18 (define @t117 () (and @t116 (= @t115 @t27) @t112)) % 0.95/1.18 (define @t118 () (@list @t113)) % 0.95/1.18 (define @t119 () (exists @t118 @t117)) % 0.95/1.18 (define @t120 () (tptp.ssItem @t99)) % 0.95/1.18 (define @t121 () (and @t120 @t119)) % 0.95/1.18 (define @t122 () (@list @t99)) % 0.95/1.18 (define @t123 () (exists @t122 @t121)) % 0.95/1.18 (define @t124 () (@var "X3" $$unsorted)) % 0.95/1.18 (define @t125 () (@var "X1" $$unsorted)) % 0.95/1.18 (define @t126 () (tptp.lt @t125 @t124)) % 0.95/1.18 (define @t127 () (@var "X4" $$unsorted)) % 0.95/1.18 (define @t128 () (tptp.cons @t124 tptp.nil)) % 0.95/1.18 (define @t129 () (tptp.app @t128 @t127)) % 0.95/1.18 (define @t130 () (tptp.ssList @t127)) % 0.95/1.18 (define @t131 () (and @t130 (= @t129 @t12) @t126)) % 0.95/1.18 (define @t132 () (@list @t127)) % 0.95/1.18 (define @t133 () (exists @t132 @t131)) % 0.95/1.18 (define @t134 () (tptp.ssItem @t124)) % 0.95/1.18 (define @t135 () (and @t134 @t133)) % 0.95/1.18 (define @t136 () (@list @t124)) % 0.95/1.18 (define @t137 () (exists @t136 @t135)) % 0.95/1.18 (define @t138 () (tptp.cons @t125 tptp.nil)) % 0.95/1.18 (define @t139 () (@var "X2" $$unsorted)) % 0.95/1.18 (define @t140 () (tptp.app @t139 @t138)) % 0.95/1.18 (define @t141 () (tptp.ssList @t139)) % 0.95/1.18 (define @t142 () (and @t141 (= @t140 @t28) @t137)) % 0.95/1.18 (define @t143 () (@list @t139)) % 0.95/1.18 (define @t144 () (exists @t143 @t142)) % 0.95/1.18 (define @t145 () (tptp.ssItem @t125)) % 0.95/1.18 (define @t146 () (and @t145 @t144)) % 0.95/1.18 (define @t147 () (@list @t125)) % 0.95/1.18 (define @t148 () (exists @t147 @t146)) % 0.95/1.18 (define @t149 () (not (tptp.strictorderedP @t12))) % 0.95/1.18 (define @t150 () (tptp.app @t28 @t12)) % 0.95/1.18 (define @t151 () (tptp.app @t150 @t27)) % 0.95/1.18 (define @t152 () (not (= @t151 @t10))) % 0.95/1.18 (define @t153 () (not @t32)) % 0.95/1.18 (define @t154 () (or @t153 @t152 @t149 @t148 @t123)) % 0.95/1.18 (define @t155 () (forall @t33 @t154)) % 0.95/1.18 (define @t156 () (=> @t34 @t155)) % 0.95/1.18 (define @t157 () (forall @t35 @t156)) % 0.95/1.18 (define @t158 () (not (= @t2 @t12))) % 0.95/1.18 (define @t159 () (not (= @t1 @t10))) % 0.95/1.18 (define @t160 () (not @t13)) % 0.95/1.18 (define @t161 () (or @t160 @t159 @t158 @t157 @t49 @t98)) % 0.95/1.18 (define @t162 () (forall @t14 @t161)) % 0.95/1.18 (define @t163 () (=> @t15 @t162)) % 0.95/1.18 (define @t164 () (forall @t16 @t163)) % 0.95/1.18 (define @t165 () (=> @t21 @t164)) % 0.95/1.18 (define @t166 () (forall @t7 @t165)) % 0.95/1.18 (define @t167 () (=> @t17 @t166)) % 0.95/1.18 (define @t168 () (forall @t9 @t167)) % 0.95/1.18 (define @t169 () (not @t168)) % 0.95/1.18 (define @t170 () (@var "BOUND_VARIABLE_8847" $$unsorted)) % 0.95/1.18 (define @t171 () (@var "BOUND_VARIABLE_8841" $$unsorted)) % 0.95/1.18 (define @t172 () (@var "BOUND_VARIABLE_8845" $$unsorted)) % 0.95/1.18 (define @t173 () (@var "BOUND_VARIABLE_8843" $$unsorted)) % 0.95/1.18 (define @t174 () (tptp.app (tptp.app @t173 (tptp.cons @t1 @t172)) (tptp.cons @t171 @t170))) % 0.95/1.18 (define @t175 () (not (= @t2 @t174))) % 0.95/1.18 (define @t176 () (not (tptp.ssList @t170))) % 0.95/1.18 (define @t177 () (not (tptp.ssList @t172))) % 0.95/1.18 (define @t178 () (not (tptp.ssList @t173))) % 0.95/1.18 (define @t179 () (tptp.leq @t1 @t171)) % 0.95/1.18 (define @t180 () (not (tptp.ssItem @t171))) % 0.95/1.18 (define @t181 () (not @t6)) % 0.95/1.18 (define @t182 () (or @t181 @t180 @t179 @t178 @t177 @t176 @t175)) % 0.95/1.18 (define @t183 () (@list @t1 @t171 @t173 @t172 @t170)) % 0.95/1.18 (define @t184 () (= @t49 (forall @t183 @t182))) % 0.95/1.18 (define @t185 () (or @t180 @t179 @t178 @t177 @t176 @t175)) % 0.95/1.18 (define @t186 () (or @t181 @t185)) % 0.95/1.18 (define @t187 () (forall @t183 @t186)) % 0.95/1.18 (define @t188 () (@list @t171 @t173 @t172 @t170)) % 0.95/1.18 (define @t189 () (forall @t188 @t186)) % 0.95/1.18 (define @t190 () (forall @t188 @t185)) % 0.95/1.18 (define @t191 () (@var "BOUND_VARIABLE_8817" $$unsorted)) % 0.95/1.18 (define @t192 () (@var "BOUND_VARIABLE_8815" $$unsorted)) % 0.95/1.18 (define @t193 () (@var "BOUND_VARIABLE_8813" $$unsorted)) % 0.95/1.18 (define @t194 () (or @t181 @t190)) % 0.95/1.18 (define @t195 () (not (= @t2 (tptp.app (tptp.app @t193 (tptp.cons @t1 @t192)) (tptp.cons @t12 @t191))))) % 0.95/1.18 (define @t196 () (not (tptp.ssList @t191))) % 0.95/1.18 (define @t197 () (not (tptp.ssList @t192))) % 0.95/1.18 (define @t198 () (not (tptp.ssList @t193))) % 0.95/1.18 (define @t199 () (not @t36)) % 0.95/1.18 (define @t200 () (or @t199 @t26 @t198 @t197 @t196 @t195)) % 0.95/1.18 (define @t201 () (@list @t12 @t193 @t192 @t191)) % 0.95/1.18 (define @t202 () (forall @t201 @t200)) % 0.95/1.18 (define @t203 () (or @t198 @t197 @t196 @t195)) % 0.95/1.18 (define @t204 () (or @t199 @t26 @t203)) % 0.95/1.18 (define @t205 () (forall @t201 @t204)) % 0.95/1.18 (define @t206 () (@list @t193 @t192 @t191)) % 0.95/1.18 (define @t207 () (forall @t206 @t204)) % 0.95/1.18 (define @t208 () (forall @t206 @t203)) % 0.95/1.18 (define @t209 () (@var "BOUND_VARIABLE_8526" $$unsorted)) % 0.95/1.18 (define @t210 () (@var "BOUND_VARIABLE_8524" $$unsorted)) % 0.95/1.18 (define @t211 () (@list @t10 @t210 @t209)) % 0.95/1.18 (define @t212 () (or @t199 @t26 @t208)) % 0.95/1.18 (define @t213 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t210)) (tptp.cons @t12 @t209))))) % 0.95/1.18 (define @t214 () (not (tptp.ssList @t209))) % 0.95/1.18 (define @t215 () (not (tptp.ssList @t210))) % 0.95/1.18 (define @t216 () (or @t160 @t215 @t214 @t213)) % 0.95/1.18 (define @t217 () (@list @t10 @t210 @t209)) % 0.95/1.18 (define @t218 () (forall @t217 @t216)) % 0.95/1.18 (define @t219 () (or @t199 @t26 @t218)) % 0.95/1.18 (define @t220 () (or @t26 @t218)) % 0.95/1.18 (define @t221 () (or @t215 @t214 @t213)) % 0.95/1.18 (define @t222 () (or @t160 @t221)) % 0.95/1.18 (define @t223 () (forall @t217 @t222)) % 0.95/1.18 (define @t224 () (@list @t210 @t209)) % 0.95/1.18 (define @t225 () (forall @t224 @t222)) % 0.95/1.18 (define @t226 () (forall @t224 @t221)) % 0.95/1.18 (define @t227 () (@var "BOUND_VARIABLE_8502" $$unsorted)) % 0.95/1.18 (define @t228 () (or @t160 @t226)) % 0.95/1.18 (define @t229 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t227))))) % 0.95/1.18 (define @t230 () (not (tptp.ssList @t227))) % 0.95/1.18 (define @t231 () (not @t34)) % 0.95/1.18 (define @t232 () (or @t231 @t230 @t229)) % 0.95/1.18 (define @t233 () (@list @t28 @t227)) % 0.95/1.18 (define @t234 () (forall @t233 @t232)) % 0.95/1.18 (define @t235 () (or @t160 @t234)) % 0.95/1.18 (define @t236 () (forall @t14 @t235)) % 0.95/1.18 (define @t237 () (or @t26 @t236)) % 0.95/1.18 (define @t238 () (or @t26 @t235)) % 0.95/1.18 (define @t239 () (or @t160 @t26 @t234)) % 0.95/1.18 (define @t240 () (or @t26 @t234)) % 0.95/1.18 (define @t241 () (or @t230 @t229)) % 0.95/1.18 (define @t242 () (or @t231 @t241)) % 0.95/1.18 (define @t243 () (forall @t233 @t242)) % 0.95/1.18 (define @t244 () (@list @t227)) % 0.95/1.18 (define @t245 () (forall @t244 @t242)) % 0.95/1.18 (define @t246 () (forall @t244 @t241)) % 0.95/1.18 (define @t247 () (@list @t27)) % 0.95/1.18 (define @t248 () (or @t231 @t246)) % 0.95/1.18 (define @t249 () (= @t2 @t30)) % 0.95/1.18 (define @t250 () (not @t249)) % 0.95/1.18 (define @t251 () (or @t153 @t250)) % 0.95/1.18 (define @t252 () (forall @t33 @t251)) % 0.95/1.18 (define @t253 () (or @t231 @t252)) % 0.95/1.18 (define @t254 () (forall @t35 @t253)) % 0.95/1.18 (define @t255 () (or @t26 @t254)) % 0.95/1.18 (define @t256 () (or @t26 @t253)) % 0.95/1.18 (define @t257 () (or @t231 @t26 @t252)) % 0.95/1.18 (define @t258 () (or @t26 @t252)) % 0.95/1.18 (define @t259 () (or @t26 @t251)) % 0.95/1.18 (define @t260 () (or @t153 @t250 @t26)) % 0.95/1.18 (define @t261 () (=> @t249 @t26)) % 0.95/1.18 (define @t262 () (@var "BOUND_VARIABLE_11372" $$unsorted)) % 0.95/1.18 (define @t263 () (@var "BOUND_VARIABLE_11141" $$unsorted)) % 0.95/1.18 (define @t264 () (tptp.app @t114 @t263)) % 0.95/1.18 (define @t265 () (not (tptp.ssList @t263))) % 0.95/1.18 (define @t266 () (@var "BOUND_VARIABLE_11126" $$unsorted)) % 0.95/1.18 (define @t267 () (@var "BOUND_VARIABLE_11128" $$unsorted)) % 0.95/1.18 (define @t268 () (tptp.app @t267 (tptp.cons @t266 tptp.nil))) % 0.95/1.18 (define @t269 () (not (= @t2 @t268))) % 0.95/1.18 (define @t270 () (not (tptp.ssList @t267))) % 0.95/1.18 (define @t271 () (not (tptp.lt @t266 @t99))) % 0.95/1.18 (define @t272 () (not (tptp.ssItem @t266))) % 0.95/1.18 (define @t273 () (not @t120)) % 0.95/1.18 (define @t274 () (@list @t99 @t266 @t267 @t263)) % 0.95/1.18 (define @t275 () (not (forall @t274 (or @t273 @t272 @t271 @t270 @t269 @t265 (not (= @t264 @t262)))))) % 0.95/1.18 (define @t276 () (not (tptp.ssList @t262))) % 0.95/1.18 (define @t277 () (@var "BOUND_VARIABLE_11370" $$unsorted)) % 0.95/1.18 (define @t278 () (@var "BOUND_VARIABLE_11053" $$unsorted)) % 0.95/1.18 (define @t279 () (tptp.app @t278 @t138)) 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@t293))) % 0.95/1.18 (define @t296 () (not @t64)) % 0.95/1.18 (define @t297 () (not @t17)) % 0.95/1.18 (define @t298 () (or @t297 @t49 @t296 @t295 @t294 @t291 @t290 @t276 @t275)) % 0.95/1.18 (define @t299 () (@list @t2 @t277 @t262)) % 0.95/1.18 (define @t300 () (forall @t299 @t298)) % 0.95/1.18 (define @t301 () (@quantifiers_skolemize @t300 0)) % 0.95/1.18 (define @t302 () (not (= @t301 @t174))) % 0.95/1.18 (define @t303 () (or @t181 @t180 @t179 @t178 @t177 @t176 @t302)) % 0.95/1.18 (define @t304 () (forall @t183 @t303)) % 0.95/1.18 (define @t305 () (tptp.totalorderedP @t301)) % 0.95/1.18 (define @t306 () (= @t305 @t304)) % 0.95/1.18 (define @t307 () (tptp.ssList @t301)) % 0.95/1.18 (define @t308 () (not @t307)) % 0.95/1.18 (define @t309 () (or @t308 @t306)) % 0.95/1.18 (define @t310 () (forall @t9 (or @t297 @t184))) % 0.95/1.18 (define @t311 () (@list @t301)) % 0.95/1.18 (define @t312 () (forall @t183 (or @t181 @t180 @t179 @t178 @t177 @t176 (not (= @t174 @t301))))) % 0.95/1.18 (define @t313 () (= @t305 @t312)) % 0.95/1.18 (define @t314 () (or @t308 @t313)) % 0.95/1.18 (define @t315 () (@list false)) % 0.95/1.18 (define @t316 () (or @t295 @t294 @t291 @t290 @t276 @t275)) % 0.95/1.18 (define @t317 () (or @t297 @t49 @t296 @t316)) % 0.95/1.18 (define @t318 () (forall @t299 @t317)) % 0.95/1.18 (define @t319 () (@list @t277 @t262)) % 0.95/1.18 (define @t320 () (forall @t319 @t317)) % 0.95/1.18 (define @t321 () (forall @t319 @t316)) % 0.95/1.18 (define @t322 () (@var "BOUND_VARIABLE_11323" $$unsorted)) % 0.95/1.18 (define @t323 () (@var "BOUND_VARIABLE_11321" $$unsorted)) % 0.95/1.18 (define @t324 () (@list @t323 @t322)) % 0.95/1.18 (define @t325 () (or @t297 @t49 @t296 @t321)) % 0.95/1.18 (define @t326 () (not (forall @t274 (or @t273 @t272 @t271 @t270 @t269 @t265 (not (= @t264 @t322)))))) % 0.95/1.18 (define @t327 () (not (tptp.ssList @t322))) % 0.95/1.18 (define @t328 () (not (forall @t289 (or @t288 @t287 @t286 @t285 @t284 @t280 (not (= @t279 @t323)))))) % 0.95/1.18 (define @t329 () (not (tptp.ssList @t323))) % 0.95/1.18 (define @t330 () (tptp.app (tptp.app @t323 @t2) @t322)) % 0.95/1.18 (define @t331 () (and (not (= tptp.nil @t330)) @t292)) % 0.95/1.18 (define @t332 () (not (tptp.ssList @t330))) % 0.95/1.18 (define @t333 () (or @t332 @t331 @t329 @t328 @t327 @t326)) % 0.95/1.18 (define @t334 () (@list @t323 @t322)) % 0.95/1.18 (define @t335 () (forall @t334 @t333)) % 0.95/1.18 (define @t336 () (or @t297 @t49 @t296 @t335)) % 0.95/1.18 (define @t337 () (or @t49 @t297 @t296 @t335)) % 0.95/1.18 (define @t338 () (not (= @t330 @t330))) % 0.95/1.18 (define @t339 () (not (= @t330 tptp.nil))) % 0.95/1.18 (define @t340 () (and @t339 @t292)) % 0.95/1.18 (define @t341 () (or @t332 @t340 @t329 @t328 @t327 @t338 @t326)) % 0.95/1.18 (define @t342 () (not (= @t1 @t330))) % 0.95/1.18 (define @t343 () (not (= @t1 tptp.nil))) % 0.95/1.18 (define @t344 () (and @t343 @t292)) % 0.95/1.18 (define @t345 () (not @t21)) % 0.95/1.18 (define @t346 () (or @t342 @t345 @t344 @t329 @t328 @t327 @t342 @t326)) % 0.95/1.18 (define @t347 () (or @t345 @t344 @t329 @t328 @t327 @t342 @t326)) % 0.95/1.18 (define @t348 () (forall @t7 @t347)) % 0.95/1.18 (define @t349 () (forall @t334 @t348)) % 0.95/1.18 (define @t350 () (forall (@list @t323 @t322 @t1) @t347)) % 0.95/1.18 (define @t351 () (@list @t1 @t323 @t322)) % 0.95/1.18 (define @t352 () (or @t329 @t328 @t327 @t342 @t326)) % 0.95/1.18 (define @t353 () (or @t345 @t344 @t352)) % 0.95/1.18 (define @t354 () (forall @t351 @t353)) % 0.95/1.18 (define @t355 () (forall @t334 @t353)) % 0.95/1.18 (define @t356 () (forall @t334 @t352)) % 0.95/1.18 (define @t357 () (@var "BOUND_VARIABLE_11259" $$unsorted)) % 0.95/1.18 (define @t358 () (@var "BOUND_VARIABLE_11257" $$unsorted)) % 0.95/1.18 (define @t359 () (@list @t358 @t357)) % 0.95/1.18 (define @t360 () (or @t345 @t344 @t356)) % 0.95/1.18 (define @t361 () (not (= @t264 @t357))) % 0.95/1.18 (define @t362 () (not (forall @t274 (or @t273 @t272 @t271 @t270 @t269 @t265 @t361)))) % 0.95/1.18 (define @t363 () (not (= @t1 (tptp.app (tptp.app @t358 @t2) @t357)))) % 0.95/1.18 (define @t364 () (not (tptp.ssList @t357))) % 0.95/1.18 (define @t365 () (not (= @t279 @t358))) % 0.95/1.18 (define @t366 () (not (forall @t289 (or @t288 @t287 @t286 @t285 @t284 @t280 @t365)))) % 0.95/1.18 (define @t367 () (not (tptp.ssList @t358))) % 0.95/1.18 (define @t368 () (or @t367 @t366 @t364 @t363 @t362)) % 0.95/1.18 (define @t369 () (@list @t358 @t357)) % 0.95/1.18 (define @t370 () (forall @t369 @t368)) % 0.95/1.18 (define @t371 () (or @t345 @t344 @t370)) % 0.95/1.18 (define @t372 () (forall @t7 @t371)) % 0.95/1.18 (define @t373 () (or @t49 @t297 @t296 @t372)) % 0.95/1.18 (define @t374 () (or @t49 @t297 @t296 @t371)) % 0.95/1.18 (define @t375 () (or @t345 @t49 @t297 @t296 @t344 @t370)) % 0.95/1.18 (define @t376 () (or @t49 @t345 @t297 @t296 @t344 @t370)) % 0.95/1.18 (define @t377 () (or @t297 @t296 @t344 @t370)) % 0.95/1.18 (define @t378 () (or @t297 @t296 @t344 @t368)) % 0.95/1.18 (define @t379 () (or @t297 @t296 @t344 @t367 @t366 @t364 @t363 @t362)) % 0.95/1.18 (define @t380 () (not (= @t2 @t2))) % 0.95/1.18 (define @t381 () (or @t297 @t380 @t296 @t344 @t367 @t366 @t364 @t363 @t362)) % 0.95/1.18 (define @t382 () (not (= @t12 @t268))) % 0.95/1.18 (define @t383 () (not (forall @t274 (or @t273 @t272 @t271 @t270 @t382 @t265 @t361)))) % 0.95/1.18 (define @t384 () (not (= @t1 (tptp.app (tptp.app @t358 @t12) @t357)))) % 0.95/1.18 (define @t385 () (not (= @t12 @t283))) % 0.95/1.18 (define @t386 () (not (forall @t289 (or @t288 @t287 @t286 @t285 @t385 @t280 @t365)))) % 0.95/1.18 (define @t387 () (= @t12 tptp.nil)) % 0.95/1.18 (define @t388 () (and @t343 @t387)) % 0.95/1.18 (define @t389 () (not @t15)) % 0.95/1.18 (define @t390 () (or @t158 @t389 @t158 @t149 @t388 @t367 @t386 @t364 @t384 @t383)) % 0.95/1.18 (define @t391 () (or @t389 @t158 @t149 @t388 @t367 @t386 @t364 @t384 @t383)) % 0.95/1.18 (define @t392 () (forall @t16 @t391)) % 0.95/1.18 (define @t393 () (forall @t369 @t392)) % 0.95/1.18 (define @t394 () (forall (@list @t358 @t357 @t12) @t391)) % 0.95/1.18 (define @t395 () (@list @t12 @t358 @t357)) % 0.95/1.18 (define @t396 () (or @t367 @t386 @t364 @t384 @t383)) % 0.95/1.18 (define @t397 () (or @t389 @t158 @t149 @t388 @t396)) % 0.95/1.18 (define @t398 () (forall @t395 @t397)) % 0.95/1.18 (define @t399 () (forall @t369 @t397)) % 0.95/1.18 (define @t400 () (forall @t369 @t396)) % 0.95/1.18 (define @t401 () (@var "BOUND_VARIABLE_11204" $$unsorted)) % 0.95/1.18 (define @t402 () (@var "BOUND_VARIABLE_11202" $$unsorted)) % 0.95/1.18 (define @t403 () (@list @t402 @t401)) % 0.95/1.18 (define @t404 () (or @t389 @t158 @t149 @t388 @t400)) % 0.95/1.18 (define @t405 () (not (forall @t274 (or @t273 @t272 @t271 @t270 @t382 @t265 (not (= @t264 @t401)))))) % 0.95/1.18 (define @t406 () (tptp.app (tptp.app @t402 @t12) @t401)) % 0.95/1.18 (define @t407 () (not (= @t1 @t406))) % 0.95/1.18 (define @t408 () (not (tptp.ssList @t401))) % 0.95/1.18 (define @t409 () (not (forall @t289 (or @t288 @t287 @t286 @t285 @t385 @t280 (not (= @t279 @t402)))))) % 0.95/1.18 (define @t410 () (not (tptp.ssList @t402))) % 0.95/1.18 (define @t411 () (or @t410 @t409 @t408 @t407 @t405)) % 0.95/1.18 (define @t412 () (@list @t402 @t401)) % 0.95/1.18 (define @t413 () (forall @t412 @t411)) % 0.95/1.18 (define @t414 () (or @t389 @t158 @t149 @t388 @t413)) % 0.95/1.18 (define @t415 () (forall @t16 @t414)) % 0.95/1.18 (define @t416 () (or @t49 @t345 @t415)) % 0.95/1.18 (define @t417 () (or @t49 @t345 @t414)) % 0.95/1.18 (define @t418 () (or @t389 @t158 @t49 @t149 @t345 @t388 @t413)) % 0.95/1.18 (define @t419 () (or @t158 @t49 @t149 @t345 @t388 @t413)) % 0.95/1.18 (define @t420 () (or @t345 @t388 @t413)) % 0.95/1.18 (define @t421 () (or @t345 @t388 @t411)) % 0.95/1.18 (define @t422 () (or @t345 @t388 @t410 @t409 @t408 @t407 @t405)) % 0.95/1.18 (define @t423 () (not (= @t1 @t1))) % 0.95/1.18 (define @t424 () (or @t345 @t423 @t388 @t410 @t409 @t408 @t407 @t405)) % 0.95/1.18 (define @t425 () (not (= @t10 @t406))) % 0.95/1.18 (define @t426 () (and (not (= @t10 tptp.nil)) @t387)) % 0.95/1.18 (define @t427 () (or @t159 @t160 @t159 @t426 @t410 @t409 @t408 @t425 @t405)) % 0.95/1.18 (define @t428 () (or @t160 @t159 @t426 @t410 @t409 @t408 @t425 @t405)) % 0.95/1.18 (define @t429 () (forall @t14 @t428)) % 0.95/1.18 (define @t430 () (forall @t412 @t429)) % 0.95/1.18 (define @t431 () (forall (@list @t402 @t401 @t10) @t428)) % 0.95/1.18 (define @t432 () (@list @t10 @t402 @t401)) % 0.95/1.18 (define @t433 () (not (= @t402 @t279))) % 0.95/1.18 (define @t434 () (or @t288 @t287 @t286 @t285 @t385 @t280 @t433)) % 0.95/1.18 (define @t435 () (forall @t289 @t434)) % 0.95/1.18 (define @t436 () (not @t435)) % 0.95/1.18 (define @t437 () (or @t160 @t159 @t426 @t410 @t436 @t408 @t425 @t405)) % 0.95/1.18 (define @t438 () (or @t410 @t436 @t408 @t425 @t405)) % 0.95/1.18 (define @t439 () (or @t160 @t159 @t426 @t438)) % 0.95/1.18 (define @t440 () (forall @t432 @t439)) % 0.95/1.18 (define @t441 () (forall @t412 @t439)) % 0.95/1.18 (define @t442 () (forall @t412 @t438)) % 0.95/1.18 (define @t443 () (@var "BOUND_VARIABLE_11167" $$unsorted)) % 0.95/1.18 (define @t444 () (or @t160 @t159 @t426 @t442)) % 0.95/1.18 (define @t445 () (not (= @t10 (tptp.app @t150 @t443)))) % 0.95/1.18 (define @t446 () (not (tptp.ssList @t443))) % 0.95/1.18 (define @t447 () (not (= @t28 @t279))) % 0.95/1.18 (define @t448 () (or @t288 @t287 @t286 @t285 @t385 @t280 @t447)) % 0.95/1.18 (define @t449 () (not (forall @t289 @t448))) % 0.95/1.18 (define @t450 () (@list @t28 @t443)) % 0.95/1.18 (define @t451 () (forall @t450 (or @t231 @t449 @t446 @t445 (not (forall @t274 (or @t273 @t272 @t271 @t270 @t382 @t265 (not (= @t264 @t443)))))))) % 0.95/1.18 (define @t452 () (or @t160 @t159 @t426 @t451)) % 0.95/1.18 (define @t453 () (forall @t14 @t452)) % 0.95/1.18 (define @t454 () (or @t158 @t49 @t149 @t453)) % 0.95/1.18 (define @t455 () (or @t158 @t49 @t149 @t452)) % 0.95/1.18 (define @t456 () (or @t160 @t159 @t158 @t49 @t426 @t149 @t451)) % 0.95/1.18 (define @t457 () (not (= @t443 @t264))) % 0.95/1.18 (define @t458 () (or @t273 @t272 @t271 @t270 @t382 @t265 @t457)) % 0.95/1.18 (define @t459 () (forall @t274 @t458)) % 0.95/1.18 (define @t460 () (not @t459)) % 0.95/1.18 (define @t461 () (or @t231 @t449 @t446 @t445 @t460)) % 0.95/1.18 (define @t462 () (or @t446 @t445 @t460)) % 0.95/1.18 (define @t463 () (or @t231 @t449 @t462)) % 0.95/1.18 (define @t464 () (forall @t450 @t463)) % 0.95/1.18 (define @t465 () (@list @t443)) % 0.95/1.18 (define @t466 () (forall @t465 @t463)) % 0.95/1.18 (define @t467 () (forall @t465 @t462)) % 0.95/1.18 (define @t468 () (or @t231 @t449 @t467)) % 0.95/1.18 (define @t469 () (not (= @t27 @t264))) % 0.95/1.18 (define @t470 () (or @t273 @t272 @t271 @t270 @t382 @t265 @t469)) % 0.95/1.18 (define @t471 () (not (forall @t274 @t470))) % 0.95/1.18 (define @t472 () (not (= @t10 @t151))) % 0.95/1.18 (define @t473 () (or @t153 @t472 @t471)) % 0.95/1.18 (define @t474 () (forall @t33 @t473)) % 0.95/1.18 (define @t475 () (or @t231 @t449 @t474)) % 0.95/1.18 (define @t476 () (forall @t35 @t475)) % 0.95/1.18 (define @t477 () (or @t149 @t476)) % 0.95/1.18 (define @t478 () (or @t149 @t475)) % 0.95/1.18 (define @t479 () (or @t231 @t149 @t449 @t474)) % 0.95/1.18 (define @t480 () (or @t149 @t449 @t474)) % 0.95/1.18 (define @t481 () (or @t149 @t449 @t473)) % 0.95/1.18 (define @t482 () (or @t153 @t472 @t149 @t449 @t471)) % 0.95/1.18 (define @t483 () (or @t265 @t469)) % 0.95/1.18 (define @t484 () (or @t272 @t271 @t270 @t382)) % 0.95/1.18 (define @t485 () (or @t273 @t484 @t483)) % 0.95/1.18 (define @t486 () (forall @t274 @t485)) % 0.95/1.18 (define @t487 () (forall (@list @t266 @t267 @t263) @t485)) % 0.95/1.18 (define @t488 () (forall (@list @t263) @t483)) % 0.95/1.18 (define @t489 () (forall (@list @t266 @t267) @t484)) % 0.95/1.18 (define @t490 () (@var "BOUND_VARIABLE_11091" $$unsorted)) % 0.95/1.18 (define @t491 () (or @t273 @t489 @t488)) % 0.95/1.18 (define @t492 () (= @t27 @t115)) % 0.95/1.18 (define @t493 () (not @t492)) % 0.95/1.18 (define @t494 () (not @t116)) % 0.95/1.18 (define @t495 () (or @t494 @t493)) % 0.95/1.18 (define @t496 () (forall @t118 @t495)) % 0.95/1.18 (define @t497 () (not (= @t12 (tptp.app @t490 @t102)))) % 0.95/1.18 (define @t498 () (not (tptp.ssList @t490))) % 0.95/1.18 (define @t499 () (not @t101)) % 0.95/1.18 (define @t500 () (not @t109)) % 0.95/1.18 (define @t501 () (or @t500 @t499 @t498 @t497)) % 0.95/1.18 (define @t502 () (@list @t100 @t490)) % 0.95/1.18 (define @t503 () (forall @t502 @t501)) % 0.95/1.18 (define @t504 () (or @t273 @t503 @t496)) % 0.95/1.18 (define @t505 () (or @t503 @t496)) % 0.95/1.18 (define @t506 () (not @t505)) % 0.95/1.18 (define @t507 () (and @t120 @t506)) % 0.95/1.18 (define @t508 () (forall @t122 (not @t507))) % 0.95/1.18 (define @t509 () (not @t508)) % 0.95/1.18 (define @t510 () (or @t503 @t495)) % 0.95/1.18 (define @t511 () (or @t494 @t493 @t503)) % 0.95/1.18 (define @t512 () (not @t503)) % 0.95/1.18 (define @t513 () (not @t512)) % 0.95/1.18 (define @t514 () (or @t494 @t493 @t513)) % 0.95/1.18 (define @t515 () (and @t116 @t492 @t512)) % 0.95/1.18 (define @t516 () (forall @t118 (not @t515))) % 0.95/1.18 (define @t517 () (not @t516)) % 0.95/1.18 (define @t518 () (or @t498 @t497)) % 0.95/1.18 (define @t519 () (or @t500 @t499 @t518)) % 0.95/1.18 (define @t520 () (forall @t502 @t519)) % 0.95/1.18 (define @t521 () (@list @t490)) % 0.95/1.18 (define @t522 () (forall @t521 @t519)) % 0.95/1.18 (define @t523 () (forall @t521 @t518)) % 0.95/1.18 (define @t524 () (or @t500 @t499 @t523)) % 0.95/1.18 (define @t525 () (= @t12 @t104)) % 0.95/1.18 (define @t526 () (not @t525)) % 0.95/1.18 (define @t527 () (not @t105)) % 0.95/1.18 (define @t528 () (or @t527 @t526)) % 0.95/1.18 (define @t529 () (forall @t107 @t528)) % 0.95/1.18 (define @t530 () (or @t500 @t499 @t529)) % 0.95/1.18 (define @t531 () (or @t499 @t529)) % 0.95/1.18 (define @t532 () (not @t531)) % 0.95/1.18 (define @t533 () (and @t109 @t532)) % 0.95/1.18 (define @t534 () (forall @t111 (not @t533))) % 0.95/1.18 (define @t535 () (not @t534)) % 0.95/1.18 (define @t536 () (or @t499 @t528)) % 0.95/1.18 (define @t537 () (or @t527 @t526 @t499)) % 0.95/1.18 (define @t538 () (and @t105 @t525 @t101)) % 0.95/1.18 (define @t539 () (forall @t107 (not @t538))) % 0.95/1.18 (define @t540 () (not @t539)) % 0.95/1.18 (define @t541 () (or @t280 @t447)) % 0.95/1.18 (define @t542 () (or @t287 @t286 @t285 @t385)) % 0.95/1.18 (define @t543 () (or @t288 @t542 @t541)) % 0.95/1.18 (define @t544 () (forall @t289 @t543)) % 0.95/1.18 (define @t545 () (forall (@list @t282 @t281 @t278) @t543)) % 0.95/1.18 (define @t546 () (forall (@list @t278) @t541)) % 0.95/1.18 (define @t547 () (forall (@list @t282 @t281) @t542)) % 0.95/1.18 (define @t548 () (@var "BOUND_VARIABLE_11003" $$unsorted)) % 0.95/1.18 (define @t549 () (or @t288 @t547 @t546)) % 0.95/1.18 (define @t550 () (= @t28 @t140)) % 0.95/1.18 (define @t551 () (not @t550)) % 0.95/1.18 (define @t552 () (not @t141)) % 0.95/1.18 (define @t553 () (or @t552 @t551)) % 0.95/1.18 (define @t554 () (forall @t143 @t553)) % 0.95/1.18 (define @t555 () (not (= @t12 (tptp.app @t128 @t548)))) % 0.95/1.18 (define @t556 () (not (tptp.ssList @t548))) % 0.95/1.18 (define @t557 () (not @t126)) % 0.95/1.18 (define @t558 () (not @t134)) % 0.95/1.18 (define @t559 () (or @t558 @t557 @t556 @t555)) % 0.95/1.18 (define @t560 () (@list @t124 @t548)) % 0.95/1.18 (define @t561 () (forall @t560 @t559)) % 0.95/1.18 (define @t562 () (or @t288 @t561 @t554)) % 0.95/1.18 (define @t563 () (or @t561 @t554)) % 0.95/1.18 (define @t564 () (not @t563)) % 0.95/1.18 (define @t565 () (and @t145 @t564)) % 0.95/1.18 (define @t566 () (forall @t147 (not @t565))) % 0.95/1.18 (define @t567 () (not @t566)) % 0.95/1.18 (define @t568 () (or @t561 @t553)) % 0.95/1.18 (define @t569 () (or @t552 @t551 @t561)) % 0.95/1.18 (define @t570 () (not @t561)) % 0.95/1.18 (define @t571 () (not @t570)) % 0.95/1.18 (define @t572 () (or @t552 @t551 @t571)) % 0.95/1.18 (define @t573 () (and @t141 @t550 @t570)) % 0.95/1.18 (define @t574 () (forall @t143 (not @t573))) % 0.95/1.18 (define @t575 () (not @t574)) % 0.95/1.18 (define @t576 () (or @t556 @t555)) % 0.95/1.18 (define @t577 () (or @t558 @t557 @t576)) % 0.95/1.18 (define @t578 () (forall @t560 @t577)) % 0.95/1.18 (define @t579 () (@list @t548)) % 0.95/1.18 (define @t580 () (forall @t579 @t577)) % 0.95/1.18 (define @t581 () (forall @t579 @t576)) % 0.95/1.18 (define @t582 () (or @t558 @t557 @t581)) % 0.95/1.18 (define @t583 () (= @t12 @t129)) % 0.95/1.18 (define @t584 () (not @t583)) % 0.95/1.18 (define @t585 () (not @t130)) % 0.95/1.18 (define @t586 () (or @t585 @t584)) % 0.95/1.18 (define @t587 () (forall @t132 @t586)) % 0.95/1.18 (define @t588 () (or @t558 @t557 @t587)) % 0.95/1.18 (define @t589 () (or @t557 @t587)) % 0.95/1.18 (define @t590 () (not @t589)) % 0.95/1.18 (define @t591 () (and @t134 @t590)) % 0.95/1.18 (define @t592 () (forall @t136 (not @t591))) % 0.95/1.18 (define @t593 () (not @t592)) % 0.95/1.18 (define @t594 () (or @t557 @t586)) % 0.95/1.18 (define @t595 () (or @t585 @t584 @t557)) % 0.95/1.18 (define @t596 () (and @t130 @t583 @t126)) % 0.95/1.18 (define @t597 () (forall @t132 (not @t596))) % 0.95/1.18 (define @t598 () (not @t597)) % 0.95/1.18 (define @t599 () (@quantifiers_skolemize @t300 2)) % 0.95/1.18 (define @t600 () (not (= @t264 @t599))) % 0.95/1.18 (define @t601 () (not (tptp.ssList @t599))) % 0.95/1.18 (define @t602 () (@quantifiers_skolemize @t300 1)) % 0.95/1.18 (define @t603 () (not (= @t279 @t602))) % 0.95/1.18 (define @t604 () (not (tptp.ssList @t602))) % 0.95/1.18 (define @t605 () (tptp.app (tptp.app @t602 @t301) @t599)) % 0.95/1.18 (define @t606 () (not (= tptp.nil @t605))) % 0.95/1.18 (define @t607 () (not (tptp.ssList @t605))) % 0.95/1.18 (define @t608 () (tptp.strictorderedP @t301)) % 0.95/1.18 (define @t609 () (not @t608)) % 0.95/1.18 (define @t610 () (or @t308 @t305 @t609 @t607 (and @t606 (= tptp.nil @t301)) @t604 (not (forall @t289 (or @t288 @t287 @t286 @t285 (not (= @t283 @t301)) @t280 @t603))) @t601 (not (forall @t274 (or @t273 @t272 @t271 @t270 (not (= @t268 @t301)) @t265 @t600))))) % 0.95/1.18 (define @t611 () (not @t610)) % 0.95/1.18 (define @t612 () (not @t300)) % 0.95/1.18 (define @t613 () (not (= @t301 @t268))) % 0.95/1.18 (define @t614 () (or @t273 @t272 @t271 @t270 @t613 @t265 @t600)) % 0.95/1.18 (define @t615 () (forall @t274 @t614)) % 0.95/1.18 (define @t616 () (not @t615)) % 0.95/1.18 (define @t617 () (not (= @t301 @t283))) % 0.95/1.18 (define @t618 () (or @t288 @t287 @t286 @t285 @t617 @t280 @t603)) % 0.95/1.18 (define @t619 () (forall @t289 @t618)) % 0.95/1.18 (define @t620 () (not @t619)) % 0.95/1.18 (define @t621 () (and @t606 (= @t301 tptp.nil))) % 0.95/1.18 (define @t622 () (or @t308 @t305 @t609 @t607 @t621 @t604 @t620 @t601 @t616)) % 0.95/1.18 (define @t623 () (not @t622)) % 0.95/1.18 (define @t624 () (@list true)) % 0.95/1.18 (define @t625 () (@list @t610)) % 0.95/1.18 (define @t626 () (@list false false)) % 0.95/1.18 (define @t627 () (not @t312)) % 0.95/1.18 (define @t628 () (@quantifiers_skolemize @t312 4)) % 0.95/1.18 (define @t629 () (@quantifiers_skolemize @t312 1)) % 0.95/1.18 (define @t630 () (@quantifiers_skolemize @t312 3)) % 0.95/1.18 (define @t631 () (@quantifiers_skolemize @t312 0)) % 0.95/1.18 (define @t632 () (@quantifiers_skolemize @t312 2)) % 0.95/1.18 (define @t633 () (tptp.app (tptp.app @t632 (tptp.cons @t631 @t630)) (tptp.cons @t629 @t628))) % 0.95/1.18 (define @t634 () (= @t301 @t633)) % 0.95/1.18 (define @t635 () (not @t634)) % 0.95/1.18 (define @t636 () (tptp.ssList @t628)) % 0.95/1.18 (define @t637 () (not @t636)) % 0.95/1.18 (define @t638 () (tptp.ssList @t630)) % 0.95/1.18 (define @t639 () (not @t638)) % 0.95/1.18 (define @t640 () (tptp.ssList @t632)) % 0.95/1.18 (define @t641 () (not @t640)) % 0.95/1.18 (define @t642 () (tptp.leq @t631 @t629)) % 0.95/1.18 (define @t643 () (tptp.ssItem @t629)) % 0.95/1.18 (define @t644 () (not @t643)) % 0.95/1.18 (define @t645 () (tptp.ssItem @t631)) % 0.95/1.18 (define @t646 () (not @t645)) % 0.95/1.18 (define @t647 () (or @t646 @t644 @t642 @t641 @t639 @t637 @t635)) % 0.95/1.18 (define @t648 () (not @t647)) % 0.95/1.18 (define @t649 () (not (= @t633 @t301))) % 0.95/1.18 (define @t650 () (or @t646 @t644 @t642 @t641 @t639 @t637 @t649)) % 0.95/1.18 (define @t651 () (not @t650)) % 0.95/1.18 (define @t652 () (@list @t647)) % 0.95/1.18 (define @t653 () (and (not (= @t631 @t629)) @t642)) % 0.95/1.18 (define @t654 () (not @t653)) % 0.95/1.18 (define @t655 () (@var "BOUND_VARIABLE_10887" $$unsorted)) % 0.95/1.18 (define @t656 () (= (tptp.lt @t2 @t655) (and (not (= @t2 @t655)) (tptp.leq @t2 @t655)))) % 0.95/1.18 (define @t657 () (not (tptp.ssItem @t655))) % 0.95/1.18 (define @t658 () (not @t8)) % 0.95/1.18 (define @t659 () (or @t657 @t656)) % 0.95/1.18 (define @t660 () (or @t658 @t659)) % 0.95/1.18 (define @t661 () (forall (@list @t2 @t655) @t660)) % 0.95/1.18 (define @t662 () (@list @t655)) % 0.95/1.18 (define @t663 () (forall @t662 @t660)) % 0.95/1.18 (define @t664 () (forall @t662 @t659)) % 0.95/1.18 (define @t665 () (or @t658 @t664)) % 0.95/1.18 (define @t666 () (forall @t7 (or @t181 @t93))) % 0.95/1.18 (define @t667 () (tptp.lt @t631 @t629)) % 0.95/1.18 (define @t668 () (= @t667 @t653)) % 0.95/1.18 (define @t669 () (or @t646 @t644 @t668)) % 0.95/1.18 (define @t670 () (@var "BOUND_VARIABLE_8933" $$unsorted)) % 0.95/1.18 (define @t671 () (@var "BOUND_VARIABLE_8927" $$unsorted)) % 0.95/1.18 (define @t672 () (@var "BOUND_VARIABLE_8931" $$unsorted)) % 0.95/1.18 (define @t673 () (@var "BOUND_VARIABLE_8929" $$unsorted)) % 0.95/1.18 (define @t674 () (tptp.app (tptp.app @t673 (tptp.cons @t1 @t672)) (tptp.cons @t671 @t670))) % 0.95/1.18 (define @t675 () (not (= @t2 @t674))) % 0.95/1.18 (define @t676 () (not (tptp.ssList @t670))) % 0.95/1.18 (define @t677 () (not (tptp.ssList @t672))) % 0.95/1.18 (define @t678 () (not (tptp.ssList @t673))) % 0.95/1.18 (define @t679 () (tptp.lt @t1 @t671)) % 0.95/1.18 (define @t680 () (not (tptp.ssItem @t671))) % 0.95/1.18 (define @t681 () (or @t181 @t680 @t679 @t678 @t677 @t676 @t675)) % 0.95/1.18 (define @t682 () (@list @t1 @t671 @t673 @t672 @t670)) % 0.95/1.18 (define @t683 () (= @t64 (forall @t682 @t681))) % 0.95/1.18 (define @t684 () (or @t680 @t679 @t678 @t677 @t676 @t675)) % 0.95/1.18 (define @t685 () (or @t181 @t684)) % 0.95/1.18 (define @t686 () (forall @t682 @t685)) % 0.95/1.18 (define @t687 () (@list @t671 @t673 @t672 @t670)) % 0.95/1.18 (define @t688 () (forall @t687 @t685)) % 0.95/1.18 (define @t689 () (forall @t687 @t684)) % 0.95/1.18 (define @t690 () (@var "BOUND_VARIABLE_8903" $$unsorted)) % 0.95/1.18 (define @t691 () (@var "BOUND_VARIABLE_8901" $$unsorted)) % 0.95/1.18 (define @t692 () (@var "BOUND_VARIABLE_8899" $$unsorted)) % 0.95/1.18 (define @t693 () (or @t181 @t689)) % 0.95/1.18 (define @t694 () (not (= @t2 (tptp.app (tptp.app @t692 (tptp.cons @t1 @t691)) (tptp.cons @t12 @t690))))) % 0.95/1.18 (define @t695 () (not (tptp.ssList @t690))) % 0.95/1.18 (define @t696 () (not (tptp.ssList @t691))) % 0.95/1.18 (define @t697 () (not (tptp.ssList @t692))) % 0.95/1.18 (define @t698 () (or @t199 @t37 @t697 @t696 @t695 @t694)) % 0.95/1.18 (define @t699 () (@list @t12 @t692 @t691 @t690)) % 0.95/1.18 (define @t700 () (forall @t699 @t698)) % 0.95/1.18 (define @t701 () (or @t697 @t696 @t695 @t694)) % 0.95/1.18 (define @t702 () (or @t199 @t37 @t701)) % 0.95/1.18 (define @t703 () (forall @t699 @t702)) % 0.95/1.18 (define @t704 () (@list @t692 @t691 @t690)) % 0.95/1.18 (define @t705 () (forall @t704 @t702)) % 0.95/1.18 (define @t706 () (forall @t704 @t701)) % 0.95/1.18 (define @t707 () (or @t199 @t37 @t706)) % 0.95/1.18 (define @t708 () (or @t199 @t37 @t218)) % 0.95/1.18 (define @t709 () (or @t37 @t218)) % 0.95/1.18 (define @t710 () (or @t37 @t236)) % 0.95/1.18 (define @t711 () (or @t37 @t235)) % 0.95/1.18 (define @t712 () (or @t160 @t37 @t234)) % 0.95/1.18 (define @t713 () (or @t37 @t234)) % 0.95/1.18 (define @t714 () (or @t37 @t254)) % 0.95/1.18 (define @t715 () (or @t37 @t253)) % 0.95/1.18 (define @t716 () (or @t231 @t37 @t252)) % 0.95/1.18 (define @t717 () (or @t37 @t252)) % 0.95/1.18 (define @t718 () (or @t37 @t251)) % 0.95/1.18 (define @t719 () (or @t153 @t250 @t37)) % 0.95/1.18 (define @t720 () (=> @t249 @t37)) % 0.95/1.18 (define @t721 () (not (= @t301 @t674))) % 0.95/1.18 (define @t722 () (or @t181 @t680 @t679 @t678 @t677 @t676 @t721)) % 0.95/1.18 (define @t723 () (forall @t682 @t722)) % 0.95/1.18 (define @t724 () (= @t608 @t723)) % 0.95/1.18 (define @t725 () (or @t308 @t724)) % 0.95/1.18 (define @t726 () (forall @t9 (or @t297 @t683))) % 0.95/1.18 (define @t727 () (forall @t682 (or @t181 @t680 @t679 @t678 @t677 @t676 (not (= @t674 @t301))))) % 0.95/1.18 (define @t728 () (= @t608 @t727)) % 0.95/1.18 (define @t729 () (or @t308 @t728)) % 0.95/1.18 (define @t730 () (or @t646 @t644 @t667 @t641 @t639 @t637 @t649)) % 0.95/1.18 (define @t731 () (or @t646 @t644 @t667 @t641 @t639 @t637 @t635)) % 0.95/1.18 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.95/1.18 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.95/1.18 (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))))))))))) % 0.95/1.18 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.95/1.18 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.95/1.18 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.95/1.18 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.95/1.18 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not (and @t26 @t25))))))))))))))))) % 0.95/1.18 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t26 @t25)))))))))))))))) % 0.95/1.18 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t37 (tptp.lt @t12 @t1))))))))))))))))) % 0.95/1.18 (assume @p11 @t52) % 0.95/1.18 (assume @p12 @t67) % 0.95/1.18 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not @t68)))))))))))))))) % 0.95/1.18 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t68))))))))))))) % 0.95/1.18 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.95/1.18 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t69)))))) % 0.95/1.18 (assume @p17 (tptp.ssList tptp.nil)) % 0.95/1.18 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t69 @t2))))))) % 0.95/1.18 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t70))))))))))) % 0.95/1.18 (assume @p20 (forall @t9 (=> @t17 (or @t72 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t71 @t2))))))))) % 0.95/1.18 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t69))))))) % 0.95/1.18 (assume @p22 (forall @t9 (=> @t17 (=> @t74 (tptp.ssItem @t73))))) % 0.95/1.18 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t69) @t1)))))) % 0.95/1.18 (assume @p24 (forall @t9 (=> @t17 (=> @t74 (tptp.ssList @t75))))) % 0.95/1.18 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t69) @t2)))))) % 0.95/1.18 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t76)))))) % 0.95/1.18 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (= (tptp.cons @t12 @t77) (tptp.app @t71 @t2))))))))) % 0.95/1.18 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.95/1.18 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t79 @t78) @t3)))))) % 0.95/1.18 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t79 @t26) (tptp.leq @t2 @t12))))))))) % 0.95/1.18 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.95/1.18 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t80 @t78)))))) % 0.95/1.18 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t82 (not @t81))))))) % 0.95/1.18 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t37) @t83)))))))) % 0.95/1.18 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t84 @t81)))))) % 0.95/1.18 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t85))))))))) % 0.95/1.18 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t85))))))))) % 0.95/1.18 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.95/1.18 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.95/1.18 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.95/1.18 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.95/1.18 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.95/1.18 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.95/1.18 (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)))))))))))) % 0.95/1.18 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.95/1.18 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t72)))) % 0.95/1.18 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.95/1.18 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.95/1.18 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.95/1.18 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t86 @t1))))))))) % 0.95/1.18 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.95/1.18 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t72)))) % 0.95/1.18 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.95/1.18 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.95/1.18 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.95/1.18 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t86 @t10) @t1))))))))))) % 0.95/1.18 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.95/1.18 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t72)))) % 0.95/1.18 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t87)))) % 0.95/1.18 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.95/1.18 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t87)))) % 0.95/1.18 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.95/1.18 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t87)))) % 0.95/1.18 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.95/1.18 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t87)))) % 0.95/1.18 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.95/1.18 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t91) (or @t89 (and @t90 (tptp.totalorderedP @t1) (tptp.leq @t2 @t88))))))))) % 0.95/1.18 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t87)))) % 0.95/1.18 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.95/1.18 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t91) (or @t89 (and @t90 (tptp.strictorderedP @t1) (tptp.lt @t2 @t88))))))))) % 0.95/1.18 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t87)))) % 0.95/1.18 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.95/1.18 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t87)))) % 0.95/1.18 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.95/1.18 (assume @p75 (forall @t9 (=> @t17 (=> @t74 (exists @t7 (and @t6 (= @t73 @t1))))))) % 0.95/1.18 (assume @p76 (forall @t9 (=> @t17 (=> @t74 (exists @t7 (and @t21 (= @t75 @t1))))))) % 0.95/1.18 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t90 @t74 (= @t88 @t73) (= (tptp.tl @t1) @t75)) @t70)))))) % 0.95/1.18 (assume @p78 (forall @t9 (=> @t17 (=> @t74 (= (tptp.cons @t73 @t75) @t2))))) % 0.95/1.18 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t76) @t92)))))))) % 0.95/1.18 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t77) @t92)))))))) % 0.95/1.18 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t69 (tptp.app @t18 @t2))))))) % 0.95/1.18 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t76 @t12) (tptp.app @t2 @t19))))))))) % 0.95/1.18 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t76) (and @t89 @t72))))))) % 0.95/1.18 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.95/1.18 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t74 (= (tptp.hd @t76) @t73))))))) % 0.95/1.18 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t74 (= (tptp.tl @t76) (tptp.app @t75 @t1)))))))) % 0.95/1.18 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t80 (tptp.geq @t1 @t2)) @t3)))))) % 0.95/1.18 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t80 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.95/1.18 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.95/1.18 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.95/1.18 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t79 @t37) @t83)))))))) % 0.95/1.18 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (or @t3 @t82))))))) % 0.95/1.18 (assume @p93 @t96) % 0.95/1.18 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (not (tptp.gt @t1 @t2)))))))) % 0.95/1.18 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t84 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.95/1.18 (assume @p96 @t169) % 0.95/1.18 (assume @p97 true) % 0.95/1.18 (step @p98 :rule bool-impl-elim :args (@t17 @t184)) % 0.95/1.18 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t184)))) % 0.95/1.18 (step @p100 :rule aci_norm :args ((= @t186 @t182))) % 0.95/1.18 (step @p101 :rule cong :premises (@p100) :args (@t187)) % 0.95/1.18 (step @p102 :rule quant-merge-prenex :args ((= (forall @t7 @t189) @t187))) % 0.95/1.18 (step @p103 :rule alpha_equiv :args (@t190 (@list @t171 @t173 @t172 @t170) (@list @t12 @t193 @t192 @t191))) % 0.95/1.18 (step @p104 :rule refl :args (@t181)) % 0.95/1.18 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t194)) % 0.95/1.18 (step @p106 :rule quant-miniscope-or :args ((= @t189 @t194))) % 0.95/1.18 (step @p107 :rule trans :premises (@p106 @p105)) % 0.95/1.18 (step @p108 :rule symm :premises (@p107)) % 0.95/1.18 (step @p109 :rule cong :premises (@p108) :args ((forall @t7 (or @t181 @t202)))) % 0.95/1.18 (step @p110 :rule trans :premises (@p109 @p102)) % 0.95/1.18 (step @p111 :rule trans :premises (@p110 @p101)) % 0.95/1.18 (step @p112 :rule bool-impl-elim :args (@t6 @t202)) % 0.95/1.18 (step @p113 :rule cong :premises (@p112) :args ((forall @t7 (=> @t6 @t202)))) % 0.95/1.18 (step @p114 :rule trans :premises (@p113 @p111)) % 0.95/1.18 (step @p115 :rule aci_norm :args ((= @t204 @t200))) % 0.95/1.18 (step @p116 :rule cong :premises (@p115) :args (@t205)) % 0.95/1.18 (step @p117 :rule quant-merge-prenex :args ((= (forall @t16 @t207) @t205))) % 0.95/1.18 (step @p118 :rule alpha_equiv :args (@t208 (@list @t193 @t192 @t191) @t211)) % 0.95/1.18 (step @p119 :rule refl :args (@t26)) % 0.95/1.18 (step @p120 :rule refl :args (@t199)) % 0.95/1.18 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args (@t212)) % 0.95/1.18 (step @p122 :rule quant-miniscope-or :args ((= @t207 @t212))) % 0.95/1.18 (step @p123 :rule trans :premises (@p122 @p121)) % 0.95/1.18 (step @p124 :rule symm :premises (@p123)) % 0.95/1.18 (step @p125 :rule cong :premises (@p124) :args ((forall @t16 @t219))) % 0.95/1.18 (step @p126 :rule trans :premises (@p125 @p117)) % 0.95/1.18 (step @p127 :rule trans :premises (@p126 @p116)) % 0.95/1.18 (step @p128 :rule aci_norm :args ((= (or @t199 @t220) @t219))) % 0.95/1.18 (step @p129 :rule bool-impl-elim :args (@t36 @t220)) % 0.95/1.18 (step @p130 :rule trans :premises (@p129 @p128)) % 0.95/1.18 (step @p131 :rule cong :premises (@p130) :args ((forall @t16 (=> @t36 @t220)))) % 0.95/1.18 (step @p132 :rule trans :premises (@p131 @p127)) % 0.95/1.18 (step @p133 :rule aci_norm :args ((= @t222 @t216))) % 0.95/1.18 (step @p134 :rule cong :premises (@p133) :args (@t223)) % 0.95/1.18 (step @p135 :rule quant-merge-prenex :args ((= (forall @t14 @t225) @t223))) % 0.95/1.18 (step @p136 :rule alpha_equiv :args (@t226 (@list @t210 @t209) (@list @t28 @t227))) % 0.95/1.18 (step @p137 :rule refl :args (@t160)) % 0.95/1.18 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t228)) % 0.95/1.18 (step @p139 :rule quant-miniscope-or :args ((= @t225 @t228))) % 0.95/1.18 (step @p140 :rule trans :premises (@p139 @p138)) % 0.95/1.18 (step @p141 :rule symm :premises (@p140)) % 0.95/1.18 (step @p142 :rule cong :premises (@p141) :args (@t236)) % 0.95/1.18 (step @p143 :rule trans :premises (@p142 @p135)) % 0.95/1.18 (step @p144 :rule trans :premises (@p143 @p134)) % 0.95/1.18 (step @p145 :rule refl :args (@t26)) % 0.95/1.18 (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t237)) % 0.95/1.18 (step @p147 :rule quant-miniscope-or :args ((= (forall @t14 @t238) @t237))) % 0.95/1.18 (step @p148 :rule aci_norm :args ((= @t239 @t238))) % 0.95/1.18 (step @p149 :rule cong :premises (@p148) :args 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:args ((= @t702 @t698))) % 0.95/1.18 (step @p877 :rule cong :premises (@p876) :args (@t703)) % 0.95/1.18 (step @p878 :rule quant-merge-prenex :args ((= (forall @t16 @t705) @t703))) % 0.95/1.18 (step @p879 :rule alpha_equiv :args (@t706 (@list @t692 @t691 @t690) @t211)) % 0.95/1.18 (step @p880 :rule refl :args (@t37)) % 0.95/1.18 (step @p881 :rule nary_cong :premises (@p120 @p880 @p879) :args (@t707)) % 0.95/1.18 (step @p882 :rule quant-miniscope-or :args ((= @t705 @t707))) % 0.95/1.18 (step @p883 :rule trans :premises (@p882 @p881)) % 0.95/1.18 (step @p884 :rule symm :premises (@p883)) % 0.95/1.18 (step @p885 :rule cong :premises (@p884) :args ((forall @t16 @t708))) % 0.95/1.18 (step @p886 :rule trans :premises (@p885 @p878)) % 0.95/1.18 (step @p887 :rule trans :premises (@p886 @p877)) % 0.95/1.18 (step @p888 :rule aci_norm :args ((= (or @t199 @t709) @t708))) % 0.95/1.18 (step @p889 :rule bool-impl-elim :args (@t36 @t709)) % 0.95/1.18 (step @p890 :rule trans :premises (@p889 @p888)) % 0.95/1.18 (step @p891 :rule cong :premises (@p890) :args ((forall @t16 (=> @t36 @t709)))) % 0.95/1.18 (step @p892 :rule trans :premises (@p891 @p887)) % 0.95/1.18 (step @p893 :rule refl :args (@t37)) % 0.95/1.18 (step @p894 :rule nary_cong :premises (@p893 @p144) :args (@t710)) % 0.95/1.18 (step @p895 :rule quant-miniscope-or :args ((= (forall @t14 @t711) @t710))) % 0.95/1.18 (step @p896 :rule aci_norm :args ((= @t712 @t711))) % 0.95/1.18 (step @p897 :rule cong :premises (@p896) :args ((forall @t14 @t712))) % 0.95/1.18 (step @p898 :rule trans :premises (@p897 @p895)) % 0.95/1.18 (step @p899 :rule trans :premises (@p898 @p894)) % 0.95/1.18 (step @p900 :rule aci_norm :args ((= (or @t160 @t713) @t712))) % 0.95/1.18 (step @p901 :rule bool-impl-elim :args (@t13 @t713)) % 0.95/1.18 (step @p902 :rule trans :premises (@p901 @p900)) % 0.95/1.18 (step @p903 :rule cong :premises (@p902) :args ((forall @t14 (=> @t13 @t713)))) % 0.95/1.18 (step @p904 :rule trans :premises (@p903 @p899)) % 0.95/1.18 (step @p905 :rule nary_cong :premises (@p893 @p168) :args (@t714)) % 0.95/1.18 (step @p906 :rule quant-miniscope-or :args ((= (forall @t35 @t715) @t714))) % 0.95/1.18 (step @p907 :rule aci_norm :args ((= @t716 @t715))) % 0.95/1.18 (step @p908 :rule cong :premises (@p907) :args ((forall @t35 @t716))) % 0.95/1.18 (step @p909 :rule trans :premises (@p908 @p906)) % 0.95/1.18 (step @p910 :rule trans :premises (@p909 @p905)) % 0.95/1.18 (step @p911 :rule aci_norm :args ((= (or @t231 @t717) @t716))) % 0.95/1.18 (step @p912 :rule bool-impl-elim :args (@t34 @t717)) % 0.95/1.18 (step @p913 :rule trans :premises (@p912 @p911)) % 0.95/1.18 (step @p914 :rule cong :premises (@p913) :args ((forall @t35 (=> @t34 @t717)))) % 0.95/1.18 (step @p915 :rule trans :premises (@p914 @p910)) % 0.95/1.18 (step @p916 :rule quant-miniscope-or :args ((= (forall @t33 @t718) @t717))) % 0.95/1.18 (step @p917 :rule aci_norm :args ((= @t719 @t718))) % 0.95/1.18 (step @p918 :rule cong :premises (@p917) :args ((forall @t33 @t719))) % 0.95/1.18 (step @p919 :rule trans :premises (@p918 @p916)) % 0.95/1.18 (step @p920 :rule aci_norm :args ((= (or @t153 (or @t250 @t37)) @t719))) % 0.95/1.18 (step @p921 :rule bool-impl-elim :args (@t249 @t37)) % 0.95/1.18 (step @p922 :rule nary_cong :premises (@p186 @p921) :args ((or @t153 @t720))) % 0.95/1.18 (step @p923 :rule trans :premises (@p922 @p920)) % 0.95/1.18 (step @p924 :rule bool-impl-elim :args (@t32 @t720)) % 0.95/1.18 (step @p925 :rule trans :premises (@p924 @p923)) % 0.95/1.18 (step @p926 :rule cong :premises (@p925) :args ((forall @t33 (=> @t32 @t720)))) % 0.95/1.18 (step @p927 :rule trans :premises (@p926 @p919)) % 0.95/1.18 (step @p928 :rule cong :premises (@p193 @p893) :args (@t53)) % 0.95/1.18 (step @p929 :rule cong :premises (@p195 @p928) :args (@t54)) % 0.95/1.18 (step @p930 :rule cong :premises (@p929) :args (@t55)) % 0.95/1.18 (step @p931 :rule trans :premises (@p930 @p927)) % 0.95/1.18 (step @p932 :rule cong :premises (@p199 @p931) :args (@t56)) % 0.95/1.18 (step @p933 :rule cong :premises (@p932) :args (@t57)) % 0.95/1.18 (step @p934 :rule trans :premises (@p933 @p915)) % 0.95/1.18 (step @p935 :rule cong :premises (@p203 @p934) :args (@t58)) % 0.95/1.18 (step @p936 :rule cong :premises (@p935) :args (@t59)) % 0.95/1.18 (step @p937 :rule trans :premises (@p936 @p904)) % 0.95/1.18 (step @p938 :rule cong :premises (@p207 @p937) :args (@t60)) % 0.95/1.18 (step @p939 :rule cong :premises (@p938) :args (@t61)) % 0.95/1.18 (step @p940 :rule trans :premises (@p939 @p892)) % 0.95/1.18 (step @p941 :rule cong :premises (@p211 @p940) :args (@t62)) % 0.95/1.18 (step @p942 :rule cong :premises (@p941) :args (@t63)) % 0.95/1.18 (step @p943 :rule trans :premises (@p942 @p875)) % 0.95/1.18 (step @p944 :rule refl :args (@t64)) % 0.95/1.18 (step @p945 :rule cong :premises (@p944 @p943) :args (@t65)) % 0.95/1.18 (step @p946 :rule cong :premises (@p217 @p945) :args (@t66)) % 0.95/1.18 (step @p947 :rule cong :premises (@p946) :args (@t67)) % 0.95/1.18 (step @p948 :rule trans :premises (@p947 @p861)) % 0.95/1.18 (step @p949 :rule eq_resolve :premises (@p12 @p948)) % 0.95/1.18 (step @p950 :rule eq-symm :args (@t301 @t674)) % 0.95/1.18 (step @p951 :rule cong :premises (@p950) :args (@t721)) % 0.95/1.18 (step @p952 :rule refl :args (@t676)) % 0.95/1.18 (step @p953 :rule refl :args (@t677)) % 0.95/1.18 (step @p954 :rule refl :args (@t678)) % 0.95/1.18 (step @p955 :rule refl :args (@t679)) % 0.95/1.18 (step @p956 :rule refl :args (@t680)) % 0.95/1.18 (step @p957 :rule nary_cong :premises (@p229 @p956 @p955 @p954 @p953 @p952 @p951) :args (@t722)) % 0.95/1.18 (step @p958 :rule cong :premises (@p957) :args (@t723)) % 0.95/1.18 (step @p959 :rule refl :args (@t608)) % 0.95/1.18 (step @p960 :rule cong :premises (@p959 @p958) :args (@t724)) % 0.95/1.18 (step @p961 :rule nary_cong :premises (@p234 @p960) :args (@t725)) % 0.95/1.18 (step @p962 :rule refl :args (@t726)) % 0.95/1.18 (step @p963 :rule cong :premises (@p962 @p961) :args ((=> @t726 @t725))) % 0.95/1.18 (assume-push @p1030 @t726) % 0.95/1.18 (step @p965 :rule instantiate :premises (@p949) :args (@t311)) % 0.95/1.18 (step-pop @p1031 :rule scope :premises (@p965)) % 0.95/1.18 (step @p966 :rule process_scope :premises (@p1031) :args (@t725)) % 0.95/1.18 (step @p968 :rule eq_resolve :premises (@p966 @p963)) % 0.95/1.18 (step @p969 :rule implies_elim :premises (@p968)) % 0.95/1.18 (step @p970 :rule chain_m_resolution :premises (@p969 @p949) :args (@t729 @t315 (@list @t726))) % 0.95/1.18 (step @p971 :rule cnf_or_pos :args (@t729)) % 0.95/1.18 (step @p972 :rule reordering :premises (@p971) :args ((or @t308 @t728 (not @t729)))) % 0.95/1.18 (step @p973 :rule chain_m_resolution :premises (@p972 @p784 @p970) :args (@t728 @t626 (@list @t307 @t729))) % 0.95/1.18 (step @p974 :rule bool-double-not-elim :args (@t608)) % 0.95/1.18 (step @p975 :rule nary_cong :premises (@p779 @p974) :args ((or @t610 (not @t609)))) % 0.95/1.18 (step @p976 :rule cnf_or_neg :args (@t610 2)) % 0.95/1.18 (step @p977 :rule eq_resolve :premises (@p976 @p975)) % 0.95/1.18 (step @p978 :rule reordering :premises (@p977) :args ((or @t608 @t610))) % 0.95/1.18 (step @p979 :rule chain_m_resolution :premises (@p978 @p777) :args (@t608 @t624 @t625)) % 0.95/1.18 (step @p980 :rule cnf_equiv_pos1 :args (@t728)) % 0.95/1.18 (step @p981 :rule reordering :premises (@p980) :args ((or @t609 @t727 (not @t728)))) % 0.95/1.18 (step @p982 :rule chain_m_resolution :premises (@p981 @p979 @p973) :args (@t727 @t626 (@list @t608 @t728))) % 0.95/1.18 (step @p983 :rule refl :args (@t667)) % 0.95/1.18 (step @p984 :rule nary_cong :premises (@p803 @p802 @p983 @p800 @p799 @p798 @p797) :args (@t730)) % 0.95/1.18 (step @p985 :rule refl :args (@t727)) % 0.95/1.18 (step @p986 :rule cong :premises (@p985 @p984) :args ((=> @t727 @t730))) % 0.95/1.18 (assume-push @p1032 @t727) % 0.95/1.18 (step @p988 :rule instantiate :premises (@p982) :args ((@list @t631 @t629 @t632 @t630 @t628))) % 0.95/1.18 (step-pop @p1033 :rule scope :premises (@p988)) % 0.95/1.18 (step @p989 :rule process_scope :premises (@p1033) :args (@t730)) % 0.95/1.18 (step @p991 :rule eq_resolve :premises (@p989 @p986)) % 0.95/1.18 (step @p992 :rule implies_elim :premises (@p991)) % 0.95/1.18 (step @p993 :rule chain_m_resolution :premises (@p992 @p982) :args (@t731 @t315 (@list @t727))) % 0.95/1.18 (step @p994 :rule bool-double-not-elim :args (@t634)) % 0.95/1.18 (step @p995 :rule nary_cong :premises (@p845 @p994) :args ((or @t647 (not @t635)))) % 0.95/1.18 (step @p996 :rule cnf_or_neg :args (@t647 6)) % 0.95/1.18 (step @p997 :rule eq_resolve :premises (@p996 @p995)) % 0.95/1.18 (step @p998 :rule reordering :premises (@p997) :args ((or @t634 @t647))) % 0.95/1.18 (step @p999 :rule chain_m_resolution :premises (@p998 @p815) :args (@t634 @t624 @t652)) % 0.95/1.18 (step @p1000 :rule bool-double-not-elim :args (@t636)) % 0.95/1.18 (step @p1001 :rule nary_cong :premises (@p845 @p1000) :args ((or @t647 (not @t637)))) % 0.95/1.18 (step @p1002 :rule cnf_or_neg :args (@t647 5)) % 0.95/1.18 (step @p1003 :rule eq_resolve :premises (@p1002 @p1001)) % 0.95/1.18 (step @p1004 :rule reordering :premises (@p1003) :args ((or @t636 @t647))) % 0.95/1.18 (step @p1005 :rule chain_m_resolution :premises (@p1004 @p815) :args (@t636 @t624 @t652)) % 0.95/1.18 (step @p1006 :rule bool-double-not-elim :args (@t638)) % 0.95/1.18 (step @p1007 :rule nary_cong :premises (@p845 @p1006) :args ((or @t647 (not @t639)))) % 0.95/1.18 (step @p1008 :rule cnf_or_neg :args (@t647 4)) % 0.95/1.18 (step @p1009 :rule eq_resolve :premises (@p1008 @p1007)) % 0.95/1.18 (step @p1010 :rule reordering :premises (@p1009) :args ((or @t638 @t647))) % 0.95/1.18 (step @p1011 :rule chain_m_resolution :premises (@p1010 @p815) :args (@t638 @t624 @t652)) % 0.95/1.18 (step @p1012 :rule bool-double-not-elim :args (@t640)) % 0.95/1.18 (step @p1013 :rule nary_cong :premises (@p845 @p1012) :args ((or @t647 (not @t641)))) % 0.95/1.18 (step @p1014 :rule cnf_or_neg :args (@t647 3)) % 0.95/1.18 (step @p1015 :rule eq_resolve :premises (@p1014 @p1013)) % 0.95/1.18 (step @p1016 :rule reordering :premises (@p1015) :args ((or @t640 @t647))) % 0.95/1.18 (step @p1017 :rule chain_m_resolution :premises (@p1016 @p815) :args (@t640 @t624 @t652)) % 0.95/1.18 (step @p1018 :rule cnf_or_pos :args (@t731)) % 0.95/1.18 (step @p1019 :rule reordering :premises (@p1018) :args ((or @t646 @t644 @t641 @t639 @t637 @t635 @t667 (not @t731)))) % 0.95/1.18 (step @p1020 :rule chain_m_resolution :premises (@p1019 @p856 @p850 @p1017 @p1011 @p1005 @p999 @p993) :args (@t667 (@list false false false false false false false) (@list @t645 @t643 @t640 @t638 @t636 @t634 @t731))) % 0.95/1.18 (step @p1021 :rule cnf_equiv_pos1 :args (@t668)) % 0.95/1.18 (step @p1022 :rule reordering :premises (@p1021) :args ((or @t653 (not @t667) (not @t668)))) % 0.95/1.18 (step @p1023 false :rule chain_m_resolution :premises (@p1022 @p1020 @p859 @p820) :args (false (@list false false true) (@list @t667 @t668 @t653))) % 0.95/1.18 ) % 0.95/1.18 % SZS output end Proof % 0.95/1.18 % cvc5 exiting %------------------------------------------------------------------------------