%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC181+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:58:22 AM UTC 2026 % Result : Theorem 0.96s 1.14s % Output : Proof 0.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC181+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 19:23:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.96/1.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.96/1.14 % SZS status Theorem % 0.96/1.14 % SZS output start Proof % 0.96/1.14 ( % 0.96/1.14 (declare-sort $$unsorted 0) % 0.96/1.14 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.96/1.14 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.96/1.14 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.14 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.14 (declare-const tptp.nil $$unsorted) % 0.96/1.14 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.96/1.14 (define @t1 () (@var "V" $$unsorted)) % 0.96/1.14 (define @t2 () (@var "U" $$unsorted)) % 0.96/1.14 (define @t3 () (= @t2 @t1)) % 0.96/1.14 (define @t4 () (not @t3)) % 0.96/1.14 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.96/1.14 (define @t6 () (tptp.ssItem @t1)) % 0.96/1.14 (define @t7 () (@list @t1)) % 0.96/1.14 (define @t8 () (tptp.ssItem @t2)) % 0.96/1.14 (define @t9 () (@list @t2)) % 0.96/1.14 (define @t10 () (@var "X" $$unsorted)) % 0.96/1.14 (define @t11 () (tptp.cons @t1 @t10)) % 0.96/1.14 (define @t12 () (@var "W" $$unsorted)) % 0.96/1.14 (define @t13 () (tptp.ssList @t10)) % 0.96/1.14 (define @t14 () (@list @t10)) % 0.96/1.14 (define @t15 () (tptp.ssList @t12)) % 0.96/1.14 (define @t16 () (@list @t12)) % 0.96/1.14 (define @t17 () (tptp.ssList @t2)) % 0.96/1.14 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.96/1.14 (define @t19 () (tptp.app @t1 @t12)) % 0.96/1.14 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.96/1.14 (define @t21 () (tptp.ssList @t1)) % 0.96/1.14 (define @t22 () (tptp.app @t12 @t1)) % 0.96/1.14 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.96/1.14 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.96/1.14 (define @t25 () (tptp.leq @t12 @t1)) % 0.96/1.14 (define @t26 () (tptp.leq @t1 @t12)) % 0.96/1.14 (define @t27 () (@var "Z" $$unsorted)) % 0.96/1.14 (define @t28 () (@var "Y" $$unsorted)) % 0.96/1.14 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 0.96/1.14 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 0.96/1.14 (define @t31 () (= @t30 @t2)) % 0.96/1.14 (define @t32 () (tptp.ssList @t27)) % 0.96/1.14 (define @t33 () (@list @t27)) % 0.96/1.14 (define @t34 () (tptp.ssList @t28)) % 0.96/1.14 (define @t35 () (@list @t28)) % 0.96/1.14 (define @t36 () (tptp.ssItem @t12)) % 0.96/1.14 (define @t37 () (tptp.lt @t1 @t12)) % 0.96/1.14 (define @t38 () (=> @t31 @t37)) % 0.96/1.14 (define @t39 () (=> @t32 @t38)) % 0.96/1.14 (define @t40 () (forall @t33 @t39)) % 0.96/1.14 (define @t41 () (=> @t34 @t40)) % 0.96/1.14 (define @t42 () (forall @t35 @t41)) % 0.96/1.14 (define @t43 () (=> @t13 @t42)) % 0.96/1.14 (define @t44 () (forall @t14 @t43)) % 0.96/1.14 (define @t45 () (=> @t36 @t44)) % 0.96/1.14 (define @t46 () (forall @t16 @t45)) % 0.96/1.14 (define @t47 () (=> @t6 @t46)) % 0.96/1.14 (define @t48 () (forall @t7 @t47)) % 0.96/1.14 (define @t49 () (tptp.strictorderedP @t2)) % 0.96/1.14 (define @t50 () (= @t49 @t48)) % 0.96/1.14 (define @t51 () (=> @t17 @t50)) % 0.96/1.14 (define @t52 () (forall @t9 @t51)) % 0.96/1.14 (define @t53 () (= @t1 @t12)) % 0.96/1.14 (define @t54 () (not @t53)) % 0.96/1.14 (define @t55 () (=> @t31 @t54)) % 0.96/1.14 (define @t56 () (=> @t32 @t55)) % 0.96/1.14 (define @t57 () (forall @t33 @t56)) % 0.96/1.14 (define @t58 () (=> @t34 @t57)) % 0.96/1.14 (define @t59 () (forall @t35 @t58)) % 0.96/1.14 (define @t60 () (=> @t13 @t59)) % 0.96/1.14 (define @t61 () (forall @t14 @t60)) % 0.96/1.14 (define @t62 () (=> @t36 @t61)) % 0.96/1.14 (define @t63 () (forall @t16 @t62)) % 0.96/1.14 (define @t64 () (=> @t6 @t63)) % 0.96/1.14 (define @t65 () (forall @t7 @t64)) % 0.96/1.14 (define @t66 () (tptp.duplicatefreeP @t2)) % 0.96/1.14 (define @t67 () (= @t66 @t65)) % 0.96/1.14 (define @t68 () (=> @t17 @t67)) % 0.96/1.14 (define @t69 () (forall @t9 @t68)) % 0.96/1.14 (define @t70 () (tptp.cons @t1 @t2)) % 0.96/1.14 (define @t71 () (= @t1 @t2)) % 0.96/1.14 (define @t72 () (tptp.cons @t12 @t1)) % 0.96/1.14 (define @t73 () (= tptp.nil @t2)) % 0.96/1.14 (define @t74 () (tptp.hd @t2)) % 0.96/1.14 (define @t75 () (not @t73)) % 0.96/1.14 (define @t76 () (tptp.tl @t2)) % 0.96/1.14 (define @t77 () (tptp.app @t2 @t1)) % 0.96/1.14 (define @t78 () (tptp.app @t1 @t2)) % 0.96/1.14 (define @t79 () (tptp.leq @t1 @t2)) % 0.96/1.14 (define @t80 () (tptp.leq @t2 @t1)) % 0.96/1.14 (define @t81 () (tptp.geq @t2 @t1)) % 0.96/1.14 (define @t82 () (tptp.lt @t1 @t2)) % 0.96/1.14 (define @t83 () (tptp.lt @t2 @t1)) % 0.96/1.14 (define @t84 () (tptp.lt @t2 @t12)) % 0.96/1.14 (define @t85 () (tptp.gt @t2 @t1)) % 0.96/1.14 (define @t86 () (tptp.memberP @t12 @t2)) % 0.96/1.14 (define @t87 () (tptp.app @t12 @t2)) % 0.96/1.14 (define @t88 () (tptp.cons @t2 tptp.nil)) % 0.96/1.14 (define @t89 () (tptp.hd @t1)) % 0.96/1.14 (define @t90 () (= tptp.nil @t1)) % 0.96/1.14 (define @t91 () (not @t90)) % 0.96/1.14 (define @t92 () (tptp.cons @t2 @t1)) % 0.96/1.14 (define @t93 () (= @t12 @t2)) % 0.96/1.14 (define @t94 () (not (tptp.lt @t2 @t2))) % 0.96/1.14 (define @t95 () (forall @t9 (=> @t8 @t94))) % 0.96/1.14 (define @t96 () (not (= tptp.nil @t10))) % 0.96/1.14 (define @t97 () (and @t96 (= tptp.nil @t12))) % 0.96/1.14 (define @t98 () (@var "X5" $$unsorted)) % 0.96/1.14 (define @t99 () (@var "X7" $$unsorted)) % 0.96/1.14 (define @t100 () (tptp.lt @t99 @t98)) % 0.96/1.14 (define @t101 () (tptp.cons @t99 tptp.nil)) % 0.96/1.14 (define @t102 () (@var "X8" $$unsorted)) % 0.96/1.14 (define @t103 () (tptp.app @t102 @t101)) % 0.96/1.14 (define @t104 () (tptp.ssList @t102)) % 0.96/1.14 (define @t105 () (and @t104 (= @t103 @t12) @t100)) % 0.96/1.14 (define @t106 () (@list @t102)) % 0.96/1.14 (define @t107 () (exists @t106 @t105)) % 0.96/1.14 (define @t108 () (tptp.ssItem @t99)) % 0.96/1.14 (define @t109 () (and @t108 @t107)) % 0.96/1.14 (define @t110 () (@list @t99)) % 0.96/1.14 (define @t111 () (exists @t110 @t109)) % 0.96/1.14 (define @t112 () (@var "X6" $$unsorted)) % 0.96/1.14 (define @t113 () (tptp.cons @t98 tptp.nil)) % 0.96/1.14 (define @t114 () (tptp.app @t113 @t112)) % 0.96/1.14 (define @t115 () (tptp.ssList @t112)) % 0.96/1.14 (define @t116 () (and @t115 (= @t114 @t27) @t111)) % 0.96/1.14 (define @t117 () (@list @t112)) % 0.96/1.14 (define @t118 () (exists @t117 @t116)) % 0.96/1.14 (define @t119 () (tptp.ssItem @t98)) % 0.96/1.14 (define @t120 () (and @t119 @t118)) % 0.96/1.14 (define @t121 () (@list @t98)) % 0.96/1.14 (define @t122 () (exists @t121 @t120)) % 0.96/1.14 (define @t123 () (@var "X3" $$unsorted)) % 0.96/1.14 (define @t124 () (@var "X1" $$unsorted)) % 0.96/1.14 (define @t125 () (tptp.lt @t124 @t123)) % 0.96/1.14 (define @t126 () (@var "X4" $$unsorted)) % 0.96/1.14 (define @t127 () (tptp.cons @t123 tptp.nil)) % 0.96/1.14 (define @t128 () (tptp.app @t127 @t126)) % 0.96/1.14 (define @t129 () (tptp.ssList @t126)) % 0.96/1.14 (define @t130 () (and @t129 (= @t128 @t12) @t125)) % 0.96/1.14 (define @t131 () (@list @t126)) % 0.96/1.14 (define @t132 () (exists @t131 @t130)) % 0.96/1.14 (define @t133 () (tptp.ssItem @t123)) % 0.96/1.14 (define @t134 () (and @t133 @t132)) % 0.96/1.14 (define @t135 () (@list @t123)) % 0.96/1.14 (define @t136 () (exists @t135 @t134)) % 0.96/1.14 (define @t137 () (tptp.cons @t124 tptp.nil)) % 0.96/1.14 (define @t138 () (@var "X2" $$unsorted)) % 0.96/1.14 (define @t139 () (tptp.app @t138 @t137)) % 0.96/1.14 (define @t140 () (tptp.ssList @t138)) % 0.96/1.14 (define @t141 () (and @t140 (= @t139 @t28) @t136)) % 0.96/1.14 (define @t142 () (@list @t138)) % 0.96/1.14 (define @t143 () (exists @t142 @t141)) % 0.96/1.14 (define @t144 () (tptp.ssItem @t124)) % 0.96/1.14 (define @t145 () (and @t144 @t143)) % 0.96/1.14 (define @t146 () (@list @t124)) % 0.96/1.14 (define @t147 () (exists @t146 @t145)) % 0.96/1.14 (define @t148 () (not (tptp.strictorderedP @t12))) % 0.96/1.14 (define @t149 () (tptp.app @t28 @t12)) % 0.96/1.14 (define @t150 () (tptp.app @t149 @t27)) % 0.96/1.14 (define @t151 () (not (= @t150 @t10))) % 0.96/1.14 (define @t152 () (or @t151 @t148 @t147 @t122)) % 0.96/1.14 (define @t153 () (=> @t32 @t152)) % 0.96/1.14 (define @t154 () (forall @t33 @t153)) % 0.96/1.14 (define @t155 () (=> @t34 @t154)) % 0.96/1.14 (define @t156 () (forall @t35 @t155)) % 0.96/1.14 (define @t157 () (not (= @t2 @t12))) % 0.96/1.14 (define @t158 () (not (= @t1 @t10))) % 0.96/1.14 (define @t159 () (or @t158 @t157 @t156 @t66 @t97)) % 0.96/1.14 (define @t160 () (=> @t13 @t159)) % 0.96/1.14 (define @t161 () (forall @t14 @t160)) % 0.96/1.14 (define @t162 () (=> @t15 @t161)) % 0.96/1.14 (define @t163 () (forall @t16 @t162)) % 0.96/1.14 (define @t164 () (=> @t21 @t163)) % 0.96/1.14 (define @t165 () (forall @t7 @t164)) % 0.96/1.14 (define @t166 () (=> @t17 @t165)) % 0.96/1.14 (define @t167 () (forall @t9 @t166)) % 0.96/1.14 (define @t168 () (not @t167)) % 0.96/1.14 (define @t169 () (@var "BOUND_VARIABLE_9033" $$unsorted)) % 0.96/1.14 (define @t170 () (@var "BOUND_VARIABLE_9031" $$unsorted)) % 0.96/1.14 (define @t171 () (@var "BOUND_VARIABLE_9029" $$unsorted)) % 0.96/1.14 (define @t172 () (tptp.app (tptp.app @t171 (tptp.cons @t1 @t170)) (tptp.cons @t1 @t169))) % 0.96/1.14 (define @t173 () (not (= @t2 @t172))) % 0.96/1.14 (define @t174 () (not (tptp.ssList @t169))) % 0.96/1.14 (define @t175 () (not (tptp.ssList @t170))) % 0.96/1.14 (define @t176 () (not (tptp.ssList @t171))) % 0.96/1.14 (define @t177 () (not @t6)) % 0.96/1.14 (define @t178 () (or @t177 @t176 @t175 @t174 @t173)) % 0.96/1.14 (define @t179 () (@list @t1 @t171 @t170 @t169)) % 0.96/1.14 (define @t180 () (= @t66 (forall @t179 @t178))) % 0.96/1.14 (define @t181 () (or @t176 @t175 @t174 @t173)) % 0.96/1.14 (define @t182 () (or @t177 @t181)) % 0.96/1.14 (define @t183 () (forall @t179 @t182)) % 0.96/1.14 (define @t184 () (@list @t171 @t170 @t169)) % 0.96/1.14 (define @t185 () (forall @t184 @t182)) % 0.96/1.14 (define @t186 () (forall @t184 @t181)) % 0.96/1.14 (define @t187 () (@var "BOUND_VARIABLE_8991" $$unsorted)) % 0.96/1.14 (define @t188 () (@var "BOUND_VARIABLE_8989" $$unsorted)) % 0.96/1.14 (define @t189 () (@var "BOUND_VARIABLE_8987" $$unsorted)) % 0.96/1.14 (define @t190 () (@list @t189 @t188 @t187)) % 0.96/1.14 (define @t191 () (or @t177 @t186)) % 0.96/1.14 (define @t192 () (tptp.app @t189 (tptp.cons @t1 @t188))) % 0.96/1.14 (define @t193 () (not (= @t2 (tptp.app @t192 (tptp.cons @t1 @t187))))) % 0.96/1.14 (define @t194 () (not (tptp.ssList @t187))) % 0.96/1.14 (define @t195 () (not (tptp.ssList @t188))) % 0.96/1.14 (define @t196 () (not (tptp.ssList @t189))) % 0.96/1.14 (define @t197 () (or @t196 @t195 @t194 @t193)) % 0.96/1.14 (define @t198 () (@list @t189 @t188 @t187)) % 0.96/1.14 (define @t199 () (or @t177 (forall @t198 @t197))) % 0.96/1.14 (define @t200 () (or @t177 @t197)) % 0.96/1.14 (define @t201 () (or @t177 @t196 @t195 @t194 @t193)) % 0.96/1.14 (define @t202 () (not (= @t1 @t1))) % 0.96/1.14 (define @t203 () (or @t177 @t202 @t196 @t195 @t194 @t193)) % 0.96/1.14 (define @t204 () (not (= @t2 (tptp.app @t192 (tptp.cons @t12 @t187))))) % 0.96/1.14 (define @t205 () (not @t36)) % 0.96/1.14 (define @t206 () (or @t54 @t205 @t54 @t196 @t195 @t194 @t204)) % 0.96/1.14 (define @t207 () (or @t205 @t54 @t196 @t195 @t194 @t204)) % 0.96/1.14 (define @t208 () (forall @t16 @t207)) % 0.96/1.14 (define @t209 () (forall @t198 @t208)) % 0.96/1.14 (define @t210 () (forall (@list @t189 @t188 @t187 @t12) @t207)) % 0.96/1.14 (define @t211 () (@list @t12 @t189 @t188 @t187)) % 0.96/1.14 (define @t212 () (or @t196 @t195 @t194 @t204)) % 0.96/1.14 (define @t213 () (or @t205 @t54 @t212)) % 0.96/1.14 (define @t214 () (forall @t211 @t213)) % 0.96/1.14 (define @t215 () (forall @t198 @t213)) % 0.96/1.14 (define @t216 () (forall @t198 @t212)) % 0.96/1.14 (define @t217 () (@var "BOUND_VARIABLE_8528" $$unsorted)) % 0.96/1.14 (define @t218 () (@var "BOUND_VARIABLE_8526" $$unsorted)) % 0.96/1.14 (define @t219 () (@list @t10 @t218 @t217)) % 0.96/1.14 (define @t220 () (or @t205 @t54 @t216)) % 0.96/1.14 (define @t221 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t218)) (tptp.cons @t12 @t217))))) % 0.96/1.14 (define @t222 () (not (tptp.ssList @t217))) % 0.96/1.14 (define @t223 () (not (tptp.ssList @t218))) % 0.96/1.14 (define @t224 () (not @t13)) % 0.96/1.14 (define @t225 () (or @t224 @t223 @t222 @t221)) % 0.96/1.14 (define @t226 () (@list @t10 @t218 @t217)) % 0.96/1.14 (define @t227 () (forall @t226 @t225)) % 0.96/1.14 (define @t228 () (or @t205 @t54 @t227)) % 0.96/1.14 (define @t229 () (or @t54 @t227)) % 0.96/1.14 (define @t230 () (or @t223 @t222 @t221)) % 0.96/1.14 (define @t231 () (or @t224 @t230)) % 0.96/1.14 (define @t232 () (forall @t226 @t231)) % 0.96/1.14 (define @t233 () (@list @t218 @t217)) % 0.96/1.14 (define @t234 () (forall @t233 @t231)) % 0.96/1.14 (define @t235 () (forall @t233 @t230)) % 0.96/1.14 (define @t236 () (@var "BOUND_VARIABLE_8504" $$unsorted)) % 0.96/1.14 (define @t237 () (or @t224 @t235)) % 0.96/1.14 (define @t238 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t236))))) % 0.96/1.14 (define @t239 () (not (tptp.ssList @t236))) % 0.96/1.14 (define @t240 () (not @t34)) % 0.96/1.14 (define @t241 () (or @t240 @t239 @t238)) % 0.96/1.14 (define @t242 () (@list @t28 @t236)) % 0.96/1.14 (define @t243 () (forall @t242 @t241)) % 0.96/1.14 (define @t244 () (or @t224 @t243)) % 0.96/1.14 (define @t245 () (forall @t14 @t244)) % 0.96/1.14 (define @t246 () (or @t54 @t245)) % 0.96/1.14 (define @t247 () (or @t54 @t244)) % 0.96/1.14 (define @t248 () (or @t224 @t54 @t243)) % 0.96/1.14 (define @t249 () (or @t54 @t243)) % 0.96/1.14 (define @t250 () (or @t239 @t238)) % 0.96/1.14 (define @t251 () (or @t240 @t250)) % 0.96/1.14 (define @t252 () (forall @t242 @t251)) % 0.96/1.14 (define @t253 () (@list @t236)) % 0.96/1.14 (define @t254 () (forall @t253 @t251)) % 0.96/1.14 (define @t255 () (forall @t253 @t250)) % 0.96/1.14 (define @t256 () (@list @t27)) % 0.96/1.14 (define @t257 () (or @t240 @t255)) % 0.96/1.14 (define @t258 () (= @t2 @t30)) % 0.96/1.14 (define @t259 () (not @t258)) % 0.96/1.14 (define @t260 () (not @t32)) % 0.96/1.14 (define @t261 () (or @t260 @t259)) % 0.96/1.14 (define @t262 () (forall @t33 @t261)) % 0.96/1.14 (define @t263 () 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() (not (tptp.lt @t276 @t98))) % 0.96/1.14 (define @t282 () (not (tptp.ssItem @t276))) % 0.96/1.14 (define @t283 () (not @t119)) % 0.96/1.14 (define @t284 () (@list @t98 @t276 @t277 @t273)) % 0.96/1.14 (define @t285 () (not (forall @t284 (or @t283 @t282 @t281 @t280 @t279 @t275 (not (= @t274 @t272)))))) % 0.96/1.14 (define @t286 () (not (tptp.ssList @t272))) % 0.96/1.14 (define @t287 () (@var "BOUND_VARIABLE_11378" $$unsorted)) % 0.96/1.14 (define @t288 () (@var "BOUND_VARIABLE_11055" $$unsorted)) % 0.96/1.14 (define @t289 () (tptp.app @t288 @t137)) % 0.96/1.14 (define @t290 () (not (tptp.ssList @t288))) % 0.96/1.14 (define @t291 () (@var "BOUND_VARIABLE_11042" $$unsorted)) % 0.96/1.14 (define @t292 () (@var "BOUND_VARIABLE_11040" $$unsorted)) % 0.96/1.14 (define @t293 () (tptp.app (tptp.cons @t292 tptp.nil) @t291)) % 0.96/1.14 (define @t294 () (not (= @t2 @t293))) % 0.96/1.14 (define @t295 () (not (tptp.ssList @t291))) % 0.96/1.14 (define @t296 () (not (tptp.lt @t124 @t292))) % 0.96/1.14 (define @t297 () (not (tptp.ssItem @t292))) % 0.96/1.14 (define @t298 () (not @t144)) % 0.96/1.14 (define @t299 () (@list @t124 @t292 @t291 @t288)) % 0.96/1.14 (define @t300 () (not (forall @t299 (or @t298 @t297 @t296 @t295 @t294 @t290 (not (= @t289 @t287)))))) % 0.96/1.14 (define @t301 () (not (tptp.ssList @t287))) % 0.96/1.14 (define @t302 () (= @t2 tptp.nil)) % 0.96/1.14 (define @t303 () (tptp.app (tptp.app @t287 @t2) @t272)) % 0.96/1.14 (define @t304 () (and (not (= tptp.nil @t303)) @t302)) % 0.96/1.14 (define @t305 () (not (tptp.ssList @t303))) % 0.96/1.14 (define @t306 () (not @t49)) % 0.96/1.14 (define @t307 () (not @t17)) % 0.96/1.14 (define @t308 () (or @t307 @t66 @t306 @t305 @t304 @t301 @t300 @t286 @t285)) % 0.96/1.14 (define @t309 () (@list @t2 @t287 @t272)) % 0.96/1.14 (define @t310 () (forall @t309 @t308)) % 0.96/1.14 (define @t311 () (@quantifiers_skolemize @t310 0)) % 0.96/1.14 (define @t312 () (not (= @t311 @t172))) % 0.96/1.14 (define @t313 () (or @t177 @t176 @t175 @t174 @t312)) % 0.96/1.14 (define @t314 () (forall @t179 @t313)) % 0.96/1.14 (define @t315 () (tptp.duplicatefreeP @t311)) % 0.96/1.14 (define @t316 () (= @t315 @t314)) % 0.96/1.14 (define @t317 () (tptp.ssList @t311)) % 0.96/1.14 (define @t318 () (not @t317)) % 0.96/1.14 (define @t319 () (or @t318 @t316)) % 0.96/1.14 (define @t320 () (forall @t9 (or @t307 @t180))) % 0.96/1.14 (define @t321 () (@list @t311)) % 0.96/1.14 (define @t322 () (forall @t179 (or @t177 @t176 @t175 @t174 (not (= @t172 @t311))))) % 0.96/1.14 (define @t323 () (= @t315 @t322)) % 0.96/1.14 (define @t324 () (or @t318 @t323)) % 0.96/1.14 (define @t325 () (@list false)) % 0.96/1.14 (define @t326 () (or @t305 @t304 @t301 @t300 @t286 @t285)) % 0.96/1.14 (define @t327 () (or @t307 @t66 @t306 @t326)) % 0.96/1.14 (define @t328 () (forall @t309 @t327)) % 0.96/1.14 (define @t329 () (@list @t287 @t272)) % 0.96/1.14 (define @t330 () (forall @t329 @t327)) % 0.96/1.14 (define @t331 () (forall @t329 @t326)) % 0.96/1.14 (define @t332 () (@var "BOUND_VARIABLE_11331" $$unsorted)) % 0.96/1.14 (define @t333 () (@var "BOUND_VARIABLE_11329" $$unsorted)) % 0.96/1.14 (define @t334 () (@list @t333 @t332)) % 0.96/1.14 (define @t335 () (or @t307 @t66 @t306 @t331)) % 0.96/1.14 (define @t336 () (not (forall @t284 (or @t283 @t282 @t281 @t280 @t279 @t275 (not (= @t274 @t332)))))) % 0.96/1.14 (define @t337 () (not (tptp.ssList @t332))) % 0.96/1.14 (define @t338 () (not (forall @t299 (or @t298 @t297 @t296 @t295 @t294 @t290 (not (= @t289 @t333)))))) % 0.96/1.14 (define @t339 () (not (tptp.ssList @t333))) % 0.96/1.14 (define @t340 () (tptp.app (tptp.app @t333 @t2) @t332)) % 0.96/1.14 (define @t341 () (and (not (= tptp.nil @t340)) @t302)) % 0.96/1.14 (define @t342 () (not (tptp.ssList @t340))) % 0.96/1.14 (define @t343 () (or @t342 @t341 @t339 @t338 @t337 @t336)) % 0.96/1.14 (define @t344 () (@list @t333 @t332)) % 0.96/1.14 (define @t345 () (forall @t344 @t343)) % 0.96/1.14 (define @t346 () (or @t307 @t66 @t306 @t345)) % 0.96/1.14 (define @t347 () (or @t66 @t307 @t306 @t345)) % 0.96/1.14 (define @t348 () (not (= @t340 @t340))) % 0.96/1.14 (define @t349 () (not (= @t340 tptp.nil))) % 0.96/1.14 (define @t350 () (and @t349 @t302)) % 0.96/1.14 (define @t351 () (or @t342 @t350 @t339 @t338 @t337 @t348 @t336)) % 0.96/1.14 (define @t352 () (not (= @t1 @t340))) % 0.96/1.14 (define @t353 () (not (= @t1 tptp.nil))) % 0.96/1.14 (define @t354 () (and @t353 @t302)) % 0.96/1.14 (define @t355 () (not @t21)) % 0.96/1.14 (define @t356 () (or @t352 @t355 @t354 @t339 @t338 @t337 @t352 @t336)) % 0.96/1.14 (define @t357 () (or @t355 @t354 @t339 @t338 @t337 @t352 @t336)) % 0.96/1.14 (define @t358 () (forall @t7 @t357)) % 0.96/1.14 (define @t359 () (forall @t344 @t358)) % 0.96/1.14 (define @t360 () (forall (@list @t333 @t332 @t1) @t357)) % 0.96/1.14 (define @t361 () (@list @t1 @t333 @t332)) % 0.96/1.14 (define @t362 () (or @t339 @t338 @t337 @t352 @t336)) % 0.96/1.14 (define @t363 () (or @t355 @t354 @t362)) % 0.96/1.14 (define @t364 () (forall @t361 @t363)) % 0.96/1.14 (define @t365 () (forall @t344 @t363)) % 0.96/1.14 (define @t366 () (forall @t344 @t362)) % 0.96/1.14 (define @t367 () (@var "BOUND_VARIABLE_11267" $$unsorted)) % 0.96/1.14 (define @t368 () (@var "BOUND_VARIABLE_11265" $$unsorted)) % 0.96/1.14 (define @t369 () (@list @t368 @t367)) % 0.96/1.14 (define @t370 () (or @t355 @t354 @t366)) % 0.96/1.14 (define @t371 () (not (= @t274 @t367))) % 0.96/1.14 (define @t372 () (not (forall @t284 (or @t283 @t282 @t281 @t280 @t279 @t275 @t371)))) % 0.96/1.14 (define @t373 () (not (= @t1 (tptp.app (tptp.app @t368 @t2) @t367)))) % 0.96/1.14 (define @t374 () (not (tptp.ssList @t367))) % 0.96/1.14 (define @t375 () (not (= @t289 @t368))) % 0.96/1.14 (define @t376 () (not (forall @t299 (or @t298 @t297 @t296 @t295 @t294 @t290 @t375)))) % 0.96/1.14 (define @t377 () (not (tptp.ssList @t368))) % 0.96/1.14 (define @t378 () (or @t377 @t376 @t374 @t373 @t372)) % 0.96/1.14 (define @t379 () (@list @t368 @t367)) % 0.96/1.14 (define @t380 () (forall @t379 @t378)) % 0.96/1.14 (define @t381 () (or @t355 @t354 @t380)) % 0.96/1.14 (define @t382 () (forall @t7 @t381)) % 0.96/1.14 (define @t383 () (or @t66 @t307 @t306 @t382)) % 0.96/1.14 (define @t384 () (or @t66 @t307 @t306 @t381)) % 0.96/1.14 (define @t385 () (or @t355 @t66 @t307 @t306 @t354 @t380)) % 0.96/1.14 (define @t386 () (or @t66 @t355 @t307 @t306 @t354 @t380)) % 0.96/1.14 (define @t387 () (or @t307 @t306 @t354 @t380)) % 0.96/1.14 (define @t388 () (or @t307 @t306 @t354 @t378)) % 0.96/1.14 (define @t389 () (or @t307 @t306 @t354 @t377 @t376 @t374 @t373 @t372)) % 0.96/1.14 (define @t390 () (not (= @t2 @t2))) % 0.96/1.14 (define @t391 () (or @t307 @t390 @t306 @t354 @t377 @t376 @t374 @t373 @t372)) % 0.96/1.14 (define @t392 () (not (= @t12 @t278))) % 0.96/1.14 (define @t393 () (not (forall @t284 (or @t283 @t282 @t281 @t280 @t392 @t275 @t371)))) % 0.96/1.14 (define @t394 () (not (= @t1 (tptp.app (tptp.app @t368 @t12) @t367)))) % 0.96/1.14 (define @t395 () (not (= @t12 @t293))) % 0.96/1.14 (define @t396 () (not (forall @t299 (or @t298 @t297 @t296 @t295 @t395 @t290 @t375)))) % 0.96/1.14 (define @t397 () (= @t12 tptp.nil)) % 0.96/1.14 (define @t398 () (and @t353 @t397)) % 0.96/1.14 (define @t399 () (not @t15)) % 0.96/1.14 (define @t400 () (or @t157 @t399 @t157 @t148 @t398 @t377 @t396 @t374 @t394 @t393)) % 0.96/1.14 (define @t401 () (or @t399 @t157 @t148 @t398 @t377 @t396 @t374 @t394 @t393)) % 0.96/1.14 (define @t402 () (forall @t16 @t401)) % 0.96/1.14 (define @t403 () (forall @t379 @t402)) % 0.96/1.14 (define @t404 () (forall (@list @t368 @t367 @t12) @t401)) % 0.96/1.14 (define @t405 () (@list @t12 @t368 @t367)) % 0.96/1.14 (define @t406 () (or @t377 @t396 @t374 @t394 @t393)) % 0.96/1.14 (define @t407 () (or @t399 @t157 @t148 @t398 @t406)) % 0.96/1.14 (define @t408 () (forall @t405 @t407)) % 0.96/1.14 (define @t409 () (forall @t379 @t407)) % 0.96/1.14 (define @t410 () (forall @t379 @t406)) % 0.96/1.14 (define @t411 () (@var "BOUND_VARIABLE_11212" $$unsorted)) % 0.96/1.14 (define @t412 () (@var "BOUND_VARIABLE_11210" $$unsorted)) % 0.96/1.14 (define @t413 () (@list @t412 @t411)) % 0.96/1.14 (define @t414 () (or @t399 @t157 @t148 @t398 @t410)) % 0.96/1.14 (define @t415 () (not (forall @t284 (or @t283 @t282 @t281 @t280 @t392 @t275 (not (= @t274 @t411)))))) % 0.96/1.14 (define @t416 () (tptp.app (tptp.app @t412 @t12) @t411)) % 0.96/1.14 (define @t417 () (not (= @t1 @t416))) % 0.96/1.14 (define @t418 () (not (tptp.ssList @t411))) % 0.96/1.14 (define @t419 () (not (forall @t299 (or @t298 @t297 @t296 @t295 @t395 @t290 (not (= @t289 @t412)))))) % 0.96/1.14 (define @t420 () (not (tptp.ssList @t412))) % 0.96/1.14 (define @t421 () (or @t420 @t419 @t418 @t417 @t415)) % 0.96/1.14 (define @t422 () (@list @t412 @t411)) % 0.96/1.14 (define @t423 () (forall @t422 @t421)) % 0.96/1.14 (define @t424 () (or @t399 @t157 @t148 @t398 @t423)) % 0.96/1.14 (define @t425 () (forall @t16 @t424)) % 0.96/1.14 (define @t426 () (or @t66 @t355 @t425)) % 0.96/1.14 (define @t427 () (or @t66 @t355 @t424)) % 0.96/1.14 (define @t428 () (or @t399 @t157 @t66 @t148 @t355 @t398 @t423)) % 0.96/1.14 (define @t429 () (or @t157 @t66 @t148 @t355 @t398 @t423)) % 0.96/1.14 (define @t430 () (or @t355 @t398 @t423)) % 0.96/1.14 (define @t431 () (or @t355 @t398 @t421)) % 0.96/1.14 (define @t432 () (or @t355 @t398 @t420 @t419 @t418 @t417 @t415)) % 0.96/1.14 (define @t433 () (or @t355 @t202 @t398 @t420 @t419 @t418 @t417 @t415)) % 0.96/1.14 (define @t434 () (not (= @t10 @t416))) % 0.96/1.14 (define @t435 () (and (not (= @t10 tptp.nil)) @t397)) % 0.96/1.14 (define @t436 () (or @t158 @t224 @t158 @t435 @t420 @t419 @t418 @t434 @t415)) % 0.96/1.14 (define @t437 () (or @t224 @t158 @t435 @t420 @t419 @t418 @t434 @t415)) % 0.96/1.14 (define @t438 () (forall @t14 @t437)) % 0.96/1.14 (define @t439 () (forall @t422 @t438)) % 0.96/1.14 (define @t440 () (forall (@list @t412 @t411 @t10) @t437)) % 0.96/1.14 (define @t441 () (@list @t10 @t412 @t411)) % 0.96/1.14 (define @t442 () (not (= @t412 @t289))) % 0.96/1.14 (define @t443 () (or @t298 @t297 @t296 @t295 @t395 @t290 @t442)) % 0.96/1.14 (define @t444 () (forall @t299 @t443)) % 0.96/1.14 (define @t445 () (not @t444)) % 0.96/1.14 (define @t446 () (or @t224 @t158 @t435 @t420 @t445 @t418 @t434 @t415)) % 0.96/1.14 (define @t447 () (or @t420 @t445 @t418 @t434 @t415)) % 0.96/1.14 (define @t448 () (or @t224 @t158 @t435 @t447)) % 0.96/1.14 (define @t449 () (forall @t441 @t448)) % 0.96/1.14 (define @t450 () (forall @t422 @t448)) % 0.96/1.14 (define @t451 () (forall @t422 @t447)) % 0.96/1.14 (define @t452 () (@var "BOUND_VARIABLE_11172" $$unsorted)) % 0.96/1.14 (define @t453 () (or @t224 @t158 @t435 @t451)) % 0.96/1.14 (define @t454 () (not (= @t10 (tptp.app @t149 @t452)))) % 0.96/1.14 (define @t455 () (not (tptp.ssList @t452))) % 0.96/1.14 (define @t456 () (not (= @t28 @t289))) % 0.96/1.14 (define @t457 () (or @t298 @t297 @t296 @t295 @t395 @t290 @t456)) % 0.96/1.14 (define @t458 () (not (forall @t299 @t457))) % 0.96/1.14 (define @t459 () (@list @t28 @t452)) % 0.96/1.14 (define @t460 () (forall @t459 (or @t240 @t458 @t455 @t454 (not (forall @t284 (or @t283 @t282 @t281 @t280 @t392 @t275 (not (= @t274 @t452)))))))) % 0.96/1.14 (define @t461 () (or @t224 @t158 @t435 @t460)) % 0.96/1.14 (define @t462 () (forall @t14 @t461)) % 0.96/1.14 (define @t463 () (or @t157 @t66 @t148 @t462)) % 0.96/1.14 (define @t464 () (or @t157 @t66 @t148 @t461)) % 0.96/1.14 (define @t465 () (or @t224 @t158 @t157 @t66 @t435 @t148 @t460)) % 0.96/1.14 (define @t466 () (or @t158 @t157 @t66 @t435 @t148 @t460)) % 0.96/1.14 (define @t467 () (not (= @t452 @t274))) % 0.96/1.14 (define @t468 () (or @t283 @t282 @t281 @t280 @t392 @t275 @t467)) % 0.96/1.14 (define @t469 () (forall @t284 @t468)) % 0.96/1.14 (define @t470 () (not @t469)) % 0.96/1.14 (define @t471 () (or @t240 @t458 @t455 @t454 @t470)) % 0.96/1.14 (define @t472 () (or @t455 @t454 @t470)) % 0.96/1.14 (define @t473 () (or @t240 @t458 @t472)) % 0.96/1.14 (define @t474 () (forall @t459 @t473)) % 0.96/1.14 (define @t475 () (@list @t452)) % 0.96/1.14 (define @t476 () (forall @t475 @t473)) % 0.96/1.14 (define @t477 () (forall @t475 @t472)) % 0.96/1.14 (define @t478 () (or @t240 @t458 @t477)) % 0.96/1.14 (define @t479 () (not (= @t27 @t274))) % 0.96/1.14 (define @t480 () (or @t283 @t282 @t281 @t280 @t392 @t275 @t479)) % 0.96/1.14 (define @t481 () (not (forall @t284 @t480))) % 0.96/1.14 (define @t482 () (not (= @t10 @t150))) % 0.96/1.14 (define @t483 () (or @t260 @t482 @t481)) % 0.96/1.14 (define @t484 () (forall @t33 @t483)) % 0.96/1.14 (define @t485 () (or @t240 @t458 @t484)) % 0.96/1.14 (define @t486 () (forall @t35 @t485)) % 0.96/1.14 (define @t487 () (or @t148 @t486)) % 0.96/1.14 (define @t488 () (or @t148 @t485)) % 0.96/1.14 (define @t489 () (or @t240 @t148 @t458 @t484)) % 0.96/1.14 (define @t490 () (or @t148 @t458 @t484)) % 0.96/1.14 (define @t491 () (or @t148 @t458 @t483)) % 0.96/1.14 (define @t492 () (or @t260 @t482 @t148 @t458 @t481)) % 0.96/1.14 (define @t493 () (or @t482 @t148 @t458 @t481)) % 0.96/1.14 (define @t494 () (or @t275 @t479)) % 0.96/1.14 (define @t495 () (or @t282 @t281 @t280 @t392)) % 0.96/1.14 (define @t496 () (or @t283 @t495 @t494)) % 0.96/1.14 (define @t497 () (forall @t284 @t496)) % 0.96/1.14 (define @t498 () (forall (@list @t276 @t277 @t273) @t496)) % 0.96/1.14 (define @t499 () (forall (@list @t273) @t494)) % 0.96/1.14 (define @t500 () (forall (@list @t276 @t277) @t495)) % 0.96/1.14 (define @t501 () (@var "BOUND_VARIABLE_11093" $$unsorted)) % 0.96/1.14 (define @t502 () (or @t283 @t500 @t499)) % 0.96/1.14 (define @t503 () (= @t27 @t114)) % 0.96/1.14 (define @t504 () (not @t503)) % 0.96/1.14 (define @t505 () (not @t115)) % 0.96/1.14 (define @t506 () (or @t505 @t504)) % 0.96/1.14 (define @t507 () (forall @t117 @t506)) % 0.96/1.14 (define @t508 () (not (= @t12 (tptp.app @t501 @t101)))) % 0.96/1.14 (define @t509 () (not (tptp.ssList @t501))) % 0.96/1.14 (define @t510 () (not @t100)) % 0.96/1.14 (define @t511 () (not @t108)) % 0.96/1.14 (define @t512 () (or @t511 @t510 @t509 @t508)) % 0.96/1.14 (define @t513 () (@list @t99 @t501)) % 0.96/1.14 (define @t514 () (forall @t513 @t512)) % 0.96/1.14 (define @t515 () (or @t283 @t514 @t507)) % 0.96/1.14 (define @t516 () (or @t514 @t507)) % 0.96/1.14 (define @t517 () (not @t516)) % 0.96/1.14 (define @t518 () (and @t119 @t517)) % 0.96/1.14 (define @t519 () (forall @t121 (not @t518))) % 0.96/1.14 (define @t520 () (not @t519)) % 0.96/1.14 (define @t521 () (or @t514 @t506)) % 0.96/1.14 (define @t522 () (or @t505 @t504 @t514)) % 0.96/1.14 (define @t523 () (not @t514)) % 0.96/1.14 (define @t524 () (not @t523)) % 0.96/1.14 (define @t525 () (or @t505 @t504 @t524)) % 0.96/1.14 (define @t526 () (and @t115 @t503 @t523)) % 0.96/1.14 (define @t527 () (forall @t117 (not @t526))) % 0.96/1.14 (define @t528 () (not @t527)) % 0.96/1.14 (define @t529 () (or @t509 @t508)) % 0.96/1.14 (define @t530 () (or @t511 @t510 @t529)) % 0.96/1.14 (define @t531 () (forall @t513 @t530)) % 0.96/1.14 (define @t532 () (@list @t501)) % 0.96/1.14 (define @t533 () (forall @t532 @t530)) % 0.96/1.14 (define @t534 () (forall @t532 @t529)) % 0.96/1.14 (define @t535 () (or @t511 @t510 @t534)) % 0.96/1.14 (define @t536 () (= @t12 @t103)) % 0.96/1.14 (define @t537 () (not @t536)) % 0.96/1.14 (define @t538 () (not @t104)) % 0.96/1.14 (define @t539 () (or @t538 @t537)) % 0.96/1.14 (define @t540 () (forall @t106 @t539)) % 0.96/1.14 (define @t541 () (or @t511 @t510 @t540)) % 0.96/1.14 (define @t542 () (or @t510 @t540)) % 0.96/1.14 (define @t543 () (not @t542)) % 0.96/1.14 (define @t544 () (and @t108 @t543)) % 0.96/1.14 (define @t545 () (forall @t110 (not @t544))) % 0.96/1.14 (define @t546 () (not @t545)) % 0.96/1.14 (define @t547 () (or @t510 @t539)) % 0.96/1.14 (define @t548 () (or @t538 @t537 @t510)) % 0.96/1.14 (define @t549 () (and @t104 @t536 @t100)) % 0.96/1.14 (define @t550 () (forall @t106 (not @t549))) % 0.96/1.14 (define @t551 () (not @t550)) % 0.96/1.14 (define @t552 () (or @t290 @t456)) % 0.96/1.14 (define @t553 () (or @t297 @t296 @t295 @t395)) % 0.96/1.14 (define @t554 () (or @t298 @t553 @t552)) % 0.96/1.14 (define @t555 () (forall @t299 @t554)) % 0.96/1.14 (define @t556 () (forall (@list @t292 @t291 @t288) @t554)) % 0.96/1.14 (define @t557 () (forall (@list @t288) @t552)) % 0.96/1.14 (define @t558 () (forall (@list @t292 @t291) @t553)) % 0.96/1.14 (define @t559 () (@var "BOUND_VARIABLE_11005" $$unsorted)) % 0.96/1.14 (define @t560 () (or @t298 @t558 @t557)) % 0.96/1.14 (define @t561 () (= @t28 @t139)) % 0.96/1.14 (define @t562 () (not @t561)) % 0.96/1.14 (define @t563 () (not @t140)) % 0.96/1.14 (define @t564 () (or @t563 @t562)) % 0.96/1.14 (define @t565 () (forall @t142 @t564)) % 0.96/1.14 (define @t566 () (not (= @t12 (tptp.app @t127 @t559)))) % 0.96/1.14 (define @t567 () (not (tptp.ssList @t559))) % 0.96/1.14 (define @t568 () (not @t125)) % 0.96/1.14 (define @t569 () (not @t133)) % 0.96/1.14 (define @t570 () (or @t569 @t568 @t567 @t566)) % 0.96/1.14 (define @t571 () (@list @t123 @t559)) % 0.96/1.14 (define @t572 () (forall @t571 @t570)) % 0.96/1.14 (define @t573 () (or @t298 @t572 @t565)) % 0.96/1.14 (define @t574 () (or @t572 @t565)) % 0.96/1.14 (define @t575 () (not @t574)) % 0.96/1.14 (define @t576 () (and @t144 @t575)) % 0.96/1.14 (define @t577 () (forall @t146 (not @t576))) % 0.96/1.14 (define @t578 () (not @t577)) % 0.96/1.14 (define @t579 () (or @t572 @t564)) % 0.96/1.14 (define @t580 () (or @t563 @t562 @t572)) % 0.96/1.14 (define @t581 () (not @t572)) % 0.96/1.14 (define @t582 () (not @t581)) % 0.96/1.14 (define @t583 () (or @t563 @t562 @t582)) % 0.96/1.14 (define @t584 () (and @t140 @t561 @t581)) % 0.96/1.14 (define @t585 () (forall @t142 (not @t584))) % 0.96/1.14 (define @t586 () (not @t585)) % 0.96/1.14 (define @t587 () (or @t567 @t566)) % 0.96/1.14 (define @t588 () (or @t569 @t568 @t587)) % 0.96/1.14 (define @t589 () (forall @t571 @t588)) % 0.96/1.14 (define @t590 () (@list @t559)) % 0.96/1.14 (define @t591 () (forall @t590 @t588)) % 0.96/1.14 (define @t592 () (forall @t590 @t587)) % 0.96/1.14 (define @t593 () (or @t569 @t568 @t592)) % 0.96/1.14 (define @t594 () (= @t12 @t128)) % 0.96/1.14 (define @t595 () (not @t594)) % 0.96/1.14 (define @t596 () (not @t129)) % 0.96/1.14 (define @t597 () (or @t596 @t595)) % 0.96/1.14 (define @t598 () (forall @t131 @t597)) % 0.96/1.14 (define @t599 () (or @t569 @t568 @t598)) % 0.96/1.14 (define @t600 () (or @t568 @t598)) % 0.96/1.14 (define @t601 () (not @t600)) % 0.96/1.14 (define @t602 () (and @t133 @t601)) % 0.96/1.14 (define @t603 () (forall @t135 (not @t602))) % 0.96/1.14 (define @t604 () (not @t603)) % 0.96/1.14 (define @t605 () (or @t568 @t597)) % 0.96/1.14 (define @t606 () (or @t596 @t595 @t568)) % 0.96/1.14 (define @t607 () (and @t129 @t594 @t125)) % 0.96/1.14 (define @t608 () (forall @t131 (not @t607))) % 0.96/1.14 (define @t609 () (not @t608)) % 0.96/1.14 (define @t610 () (@quantifiers_skolemize @t310 2)) % 0.96/1.14 (define @t611 () (not (= @t274 @t610))) % 0.96/1.14 (define @t612 () (not (tptp.ssList @t610))) % 0.96/1.14 (define @t613 () (@quantifiers_skolemize @t310 1)) % 0.96/1.14 (define @t614 () (not (= @t289 @t613))) % 0.96/1.14 (define @t615 () (not (tptp.ssList @t613))) % 0.96/1.14 (define @t616 () (tptp.app (tptp.app @t613 @t311) @t610)) % 0.96/1.14 (define @t617 () (not (= tptp.nil @t616))) % 0.96/1.14 (define @t618 () (not (tptp.ssList @t616))) % 0.96/1.14 (define @t619 () (tptp.strictorderedP @t311)) % 0.96/1.14 (define @t620 () (not @t619)) % 0.96/1.14 (define @t621 () (or @t318 @t315 @t620 @t618 (and @t617 (= tptp.nil @t311)) @t615 (not (forall @t299 (or @t298 @t297 @t296 @t295 (not (= @t293 @t311)) @t290 @t614))) @t612 (not (forall @t284 (or @t283 @t282 @t281 @t280 (not (= @t278 @t311)) @t275 @t611))))) % 0.96/1.14 (define @t622 () (not @t621)) % 0.96/1.14 (define @t623 () (not @t310)) % 0.96/1.14 (define @t624 () (not (= @t311 @t278))) % 0.96/1.14 (define @t625 () (or @t283 @t282 @t281 @t280 @t624 @t275 @t611)) % 0.96/1.14 (define @t626 () (forall @t284 @t625)) % 0.96/1.14 (define @t627 () (not @t626)) % 0.96/1.14 (define @t628 () (not (= @t311 @t293))) % 0.96/1.14 (define @t629 () (or @t298 @t297 @t296 @t295 @t628 @t290 @t614)) % 0.96/1.14 (define @t630 () (forall @t299 @t629)) % 0.96/1.14 (define @t631 () (not @t630)) % 0.96/1.14 (define @t632 () (and @t617 (= @t311 tptp.nil))) % 0.96/1.14 (define @t633 () (or @t318 @t315 @t620 @t618 @t632 @t615 @t631 @t612 @t627)) % 0.96/1.14 (define @t634 () (not @t633)) % 0.96/1.14 (define @t635 () (@list true)) % 0.96/1.14 (define @t636 () (@list @t621)) % 0.96/1.14 (define @t637 () (@list false false)) % 0.96/1.14 (define @t638 () (not @t322)) % 0.96/1.14 (define @t639 () (@quantifiers_skolemize @t322 3)) % 0.96/1.14 (define @t640 () (@quantifiers_skolemize @t322 0)) % 0.96/1.14 (define @t641 () (@quantifiers_skolemize @t322 2)) % 0.96/1.14 (define @t642 () (@quantifiers_skolemize @t322 1)) % 0.96/1.14 (define @t643 () (tptp.app (tptp.app @t642 (tptp.cons @t640 @t641)) (tptp.cons @t640 @t639))) % 0.96/1.14 (define @t644 () (= @t311 @t643)) % 0.96/1.14 (define @t645 () (not @t644)) % 0.96/1.14 (define @t646 () (tptp.ssList @t639)) % 0.96/1.14 (define @t647 () (not @t646)) % 0.96/1.14 (define @t648 () (tptp.ssList @t641)) % 0.96/1.14 (define @t649 () (not @t648)) % 0.96/1.14 (define @t650 () (tptp.ssList @t642)) % 0.96/1.14 (define @t651 () (not @t650)) % 0.96/1.14 (define @t652 () (tptp.ssItem @t640)) % 0.96/1.14 (define @t653 () (not @t652)) % 0.96/1.14 (define @t654 () (or @t653 @t651 @t649 @t647 @t645)) % 0.96/1.14 (define @t655 () (not @t654)) % 0.96/1.14 (define @t656 () (not (= @t643 @t311))) % 0.96/1.14 (define @t657 () (or @t653 @t651 @t649 @t647 @t656)) % 0.96/1.14 (define @t658 () (not @t657)) % 0.96/1.14 (define @t659 () (@list @t654)) % 0.96/1.14 (define @t660 () (@var "BOUND_VARIABLE_8935" $$unsorted)) % 0.96/1.14 (define @t661 () (@var "BOUND_VARIABLE_8929" $$unsorted)) % 0.96/1.14 (define @t662 () (@var "BOUND_VARIABLE_8933" $$unsorted)) % 0.96/1.14 (define @t663 () (@var "BOUND_VARIABLE_8931" $$unsorted)) % 0.96/1.14 (define @t664 () (tptp.app (tptp.app @t663 (tptp.cons @t1 @t662)) (tptp.cons @t661 @t660))) % 0.96/1.14 (define @t665 () (not (= @t2 @t664))) % 0.96/1.14 (define @t666 () (not (tptp.ssList @t660))) % 0.96/1.14 (define @t667 () (not (tptp.ssList @t662))) % 0.96/1.14 (define @t668 () (not (tptp.ssList @t663))) % 0.96/1.14 (define @t669 () (tptp.lt @t1 @t661)) % 0.96/1.14 (define @t670 () (not (tptp.ssItem @t661))) % 0.96/1.14 (define @t671 () (or @t177 @t670 @t669 @t668 @t667 @t666 @t665)) % 0.96/1.14 (define @t672 () (@list @t1 @t661 @t663 @t662 @t660)) % 0.96/1.14 (define @t673 () (= @t49 (forall @t672 @t671))) % 0.96/1.14 (define @t674 () (or @t670 @t669 @t668 @t667 @t666 @t665)) % 0.96/1.14 (define @t675 () (or @t177 @t674)) % 0.96/1.14 (define @t676 () (forall @t672 @t675)) % 0.96/1.14 (define @t677 () (@list @t661 @t663 @t662 @t660)) % 0.96/1.14 (define @t678 () (forall @t677 @t675)) % 0.96/1.14 (define @t679 () (forall @t677 @t674)) % 0.96/1.14 (define @t680 () (@var "BOUND_VARIABLE_8905" $$unsorted)) % 0.96/1.14 (define @t681 () (@var "BOUND_VARIABLE_8903" $$unsorted)) % 0.96/1.14 (define @t682 () (@var "BOUND_VARIABLE_8901" $$unsorted)) % 0.96/1.14 (define @t683 () (or @t177 @t679)) % 0.96/1.14 (define @t684 () (not (= @t2 (tptp.app (tptp.app @t682 (tptp.cons @t1 @t681)) (tptp.cons @t12 @t680))))) % 0.96/1.14 (define @t685 () (not (tptp.ssList @t680))) % 0.96/1.14 (define @t686 () (not (tptp.ssList @t681))) % 0.96/1.14 (define @t687 () (not (tptp.ssList @t682))) % 0.96/1.14 (define @t688 () (or @t205 @t37 @t687 @t686 @t685 @t684)) % 0.96/1.14 (define @t689 () (@list @t12 @t682 @t681 @t680)) % 0.96/1.14 (define @t690 () (forall @t689 @t688)) % 0.96/1.14 (define @t691 () (or @t687 @t686 @t685 @t684)) % 0.96/1.14 (define @t692 () (or @t205 @t37 @t691)) % 0.96/1.14 (define @t693 () (forall @t689 @t692)) % 0.96/1.14 (define @t694 () (@list @t682 @t681 @t680)) % 0.96/1.14 (define @t695 () (forall @t694 @t692)) % 0.96/1.14 (define @t696 () (forall @t694 @t691)) % 0.96/1.14 (define @t697 () (or @t205 @t37 @t696)) % 0.96/1.14 (define @t698 () (or @t205 @t37 @t227)) % 0.96/1.14 (define @t699 () (or @t37 @t227)) % 0.96/1.14 (define @t700 () (or @t37 @t245)) % 0.96/1.14 (define @t701 () (or @t37 @t244)) % 0.96/1.14 (define @t702 () (or @t224 @t37 @t243)) % 0.96/1.14 (define @t703 () (or @t37 @t243)) % 0.96/1.14 (define @t704 () (or @t37 @t264)) % 0.96/1.14 (define @t705 () (or @t37 @t263)) % 0.96/1.14 (define @t706 () (or @t240 @t37 @t262)) % 0.96/1.14 (define @t707 () (or @t37 @t262)) % 0.96/1.14 (define @t708 () (or @t37 @t261)) % 0.96/1.14 (define @t709 () (or @t260 @t259 @t37)) % 0.96/1.14 (define @t710 () (=> @t258 @t37)) % 0.96/1.14 (define @t711 () (not (= @t311 @t664))) % 0.96/1.14 (define @t712 () (or @t177 @t670 @t669 @t668 @t667 @t666 @t711)) % 0.96/1.14 (define @t713 () (forall @t672 @t712)) % 0.96/1.14 (define @t714 () (= @t619 @t713)) % 0.96/1.14 (define @t715 () (or @t318 @t714)) % 0.96/1.14 (define @t716 () (forall @t9 (or @t307 @t673))) % 0.96/1.14 (define @t717 () (forall @t672 (or @t177 @t670 @t669 @t668 @t667 @t666 (not (= @t664 @t311))))) % 0.96/1.14 (define @t718 () (= @t619 @t717)) % 0.96/1.14 (define @t719 () (or @t318 @t718)) % 0.96/1.14 (define @t720 () (tptp.lt @t640 @t640)) % 0.96/1.14 (define @t721 () (or @t653 @t653 @t720 @t651 @t649 @t647 @t656)) % 0.96/1.14 (define @t722 () (or @t653 @t653 @t720 @t651 @t649 @t647 @t645)) % 0.96/1.14 (define @t723 () (not @t720)) % 0.96/1.14 (define @t724 () (or @t653 @t723)) % 0.96/1.14 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.96/1.14 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.96/1.14 (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))))))))))) % 0.96/1.14 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.96/1.14 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.96/1.14 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.96/1.14 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.96/1.14 (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))))))))))))))))) % 0.96/1.14 (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)))))))))))))))) % 0.96/1.14 (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))))))))))))))))) % 0.96/1.14 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 @t26))))))))))))))) % 0.96/1.14 (assume @p12 @t52) % 0.96/1.14 (assume @p13 @t69) % 0.96/1.14 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t53))))))))))))) % 0.96/1.14 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.96/1.14 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t70)))))) % 0.96/1.14 (assume @p17 (tptp.ssList tptp.nil)) % 0.96/1.14 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t70 @t2))))))) % 0.96/1.14 (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) @t71))))))))))) % 0.96/1.14 (assume @p20 (forall @t9 (=> @t17 (or @t73 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t72 @t2))))))))) % 0.96/1.14 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t70))))))) % 0.96/1.14 (assume @p22 (forall @t9 (=> @t17 (=> @t75 (tptp.ssItem @t74))))) % 0.96/1.14 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t70) @t1)))))) % 0.96/1.14 (assume @p24 (forall @t9 (=> @t17 (=> @t75 (tptp.ssList @t76))))) % 0.96/1.14 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t70) @t2)))))) % 0.96/1.14 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t77)))))) % 0.96/1.14 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (= (tptp.cons @t12 @t78) (tptp.app @t72 @t2))))))))) % 0.96/1.14 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.96/1.14 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t80 @t79) @t3)))))) % 0.96/1.14 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t80 @t26) (tptp.leq @t2 @t12))))))))) % 0.96/1.14 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.96/1.14 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t81 @t79)))))) % 0.96/1.14 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t83 (not @t82))))))) % 0.96/1.14 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t83 @t37) @t84)))))))) % 0.96/1.14 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t85 @t82)))))) % 0.96/1.14 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t86))))))))) % 0.96/1.14 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t86))))))))) % 0.96/1.14 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.96/1.14 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.96/1.14 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.96/1.14 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.96/1.14 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.96/1.14 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.96/1.14 (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)))))))))))) % 0.96/1.14 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.96/1.14 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t73)))) % 0.96/1.14 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.96/1.14 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.96/1.14 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.96/1.14 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t87 @t1))))))))) % 0.96/1.14 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.96/1.14 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t73)))) % 0.96/1.14 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.96/1.14 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.96/1.14 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.96/1.14 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t87 @t10) @t1))))))))))) % 0.96/1.14 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.96/1.14 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t73)))) % 0.96/1.14 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t88)))) % 0.96/1.14 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.96/1.14 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t88)))) % 0.96/1.14 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.96/1.14 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t88)))) % 0.96/1.14 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.96/1.14 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t88)))) % 0.96/1.14 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.96/1.14 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t92) (or @t90 (and @t91 (tptp.totalorderedP @t1) (tptp.leq @t2 @t89))))))))) % 0.96/1.14 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t88)))) % 0.96/1.14 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.96/1.14 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t92) (or @t90 (and @t91 (tptp.strictorderedP @t1) (tptp.lt @t2 @t89))))))))) % 0.96/1.14 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t88)))) % 0.96/1.14 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.96/1.14 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t88)))) % 0.96/1.14 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.96/1.14 (assume @p75 (forall @t9 (=> @t17 (=> @t75 (exists @t7 (and @t6 (= @t74 @t1))))))) % 0.96/1.14 (assume @p76 (forall @t9 (=> @t17 (=> @t75 (exists @t7 (and @t21 (= @t76 @t1))))))) % 0.96/1.14 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t91 @t75 (= @t89 @t74) (= (tptp.tl @t1) @t76)) @t71)))))) % 0.96/1.14 (assume @p78 (forall @t9 (=> @t17 (=> @t75 (= (tptp.cons @t74 @t76) @t2))))) % 0.96/1.14 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t77) @t93)))))))) % 0.96/1.14 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t78) @t93)))))))) % 0.96/1.14 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t70 (tptp.app @t18 @t2))))))) % 0.96/1.14 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t77 @t12) (tptp.app @t2 @t19))))))))) % 0.96/1.14 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t77) (and @t90 @t73))))))) % 0.96/1.14 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.96/1.14 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t75 (= (tptp.hd @t77) @t74))))))) % 0.96/1.14 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t75 (= (tptp.tl @t77) (tptp.app @t76 @t1)))))))) % 0.96/1.14 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t81 (tptp.geq @t1 @t2)) @t3)))))) % 0.96/1.14 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t81 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.96/1.14 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.96/1.14 (assume @p90 @t95) % 0.96/1.14 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t80 @t37) @t84)))))))) % 0.96/1.14 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t80 (or @t3 @t83))))))) % 0.96/1.14 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t83 (and @t4 @t80))))))) % 0.96/1.14 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t85 (not (tptp.gt @t1 @t2)))))))) % 0.96/1.14 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t85 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.96/1.14 (assume @p96 @t168) % 0.96/1.14 (assume @p97 true) % 0.96/1.14 (step @p98 :rule bool-impl-elim :args (@t17 @t180)) % 0.96/1.14 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t180)))) % 0.96/1.14 (step @p100 :rule aci_norm :args ((= @t182 @t178))) % 0.96/1.14 (step @p101 :rule cong :premises (@p100) :args (@t183)) % 0.96/1.14 (step @p102 :rule quant-merge-prenex :args ((= (forall @t7 @t185) @t183))) % 0.96/1.14 (step @p103 :rule alpha_equiv :args (@t186 (@list @t171 @t170 @t169) @t190)) % 0.96/1.14 (step @p104 :rule refl :args (@t177)) % 0.96/1.14 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t191)) % 0.96/1.14 (step @p106 :rule quant-miniscope-or :args ((= @t185 @t191))) % 0.96/1.14 (step @p107 :rule trans :premises (@p106 @p105)) % 0.96/1.14 (step @p108 :rule symm :premises (@p107)) % 0.96/1.14 (step @p109 :rule cong :premises (@p108) :args ((forall @t7 @t199))) % 0.96/1.14 (step @p110 :rule trans :premises (@p109 @p102)) % 0.96/1.14 (step @p111 :rule trans :premises (@p110 @p101)) % 0.96/1.14 (step @p112 :rule aci_norm :args ((= (or @t177 @t199) @t199))) % 0.96/1.14 (step @p113 :rule bool-impl-elim :args (@t6 @t199)) % 0.96/1.14 (step @p114 :rule trans :premises (@p113 @p112)) % 0.96/1.14 (step @p115 :rule cong :premises (@p114) :args ((forall @t7 (=> @t6 @t199)))) % 0.96/1.14 (step @p116 :rule trans :premises (@p115 @p111)) % 0.96/1.14 (step @p117 :rule quant-miniscope-or :args ((= (forall @t198 @t200) @t199))) % 0.96/1.14 (step @p118 :rule aci_norm :args ((= @t201 @t200))) % 0.96/1.14 (step @p119 :rule cong :premises (@p118) :args ((forall @t198 @t201))) % 0.96/1.14 (step @p120 :rule trans :premises (@p119 @p117)) % 0.96/1.14 (step @p121 :rule aci_norm :args ((= (or @t177 false @t196 @t195 @t194 @t193) @t201))) % 0.96/1.14 (step @p122 :rule refl :args (@t193)) % 0.96/1.14 (step @p123 :rule refl :args (@t194)) % 0.96/1.14 (step @p124 :rule refl :args (@t195)) % 0.96/1.14 (step @p125 :rule refl :args (@t196)) % 0.96/1.14 (step @p126 :rule evaluate :args ((not true))) % 0.96/1.14 (step @p127 :rule eq-refl :args (@t1)) % 0.96/1.14 (step @p128 :rule cong :premises (@p127) :args (@t202)) % 0.96/1.14 (step @p129 :rule trans :premises (@p128 @p126)) % 0.96/1.14 (step @p130 :rule refl :args (@t177)) % 0.96/1.14 (step @p131 :rule nary_cong :premises (@p130 @p129 @p125 @p124 @p123 @p122) :args (@t203)) % 0.96/1.14 (step @p132 :rule trans :premises (@p131 @p121)) % 0.96/1.14 (step @p133 :rule cong :premises (@p132) :args ((forall @t198 @t203))) % 0.96/1.14 (step @p134 :rule trans :premises (@p133 @p120)) % 0.96/1.14 (step @p135 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not (= @t12 @t1)) @t205 @t54 @t196 @t195 @t194 @t204)) @t203))) % 0.96/1.14 (step @p136 :rule refl :args (@t204)) % 0.96/1.14 (step @p137 :rule refl :args (@t194)) % 0.96/1.14 (step @p138 :rule refl :args (@t195)) % 0.96/1.14 (step @p139 :rule refl :args (@t196)) % 0.96/1.14 (step @p140 :rule refl :args (@t54)) % 0.96/1.14 (step @p141 :rule refl :args (@t205)) % 0.96/1.14 (step @p142 :rule eq-symm :args (@t1 @t12)) % 0.96/1.14 (step @p143 :rule cong :premises (@p142) :args (@t54)) % 0.96/1.14 (step @p144 :rule nary_cong :premises (@p143 @p141 @p140 @p139 @p138 @p137 @p136) :args (@t206)) % 0.96/1.14 (step @p145 :rule aci_norm :args ((= @t207 @t206))) % 0.96/1.14 (step @p146 :rule trans :premises (@p145 @p144)) % 0.96/1.14 (step @p147 :rule cong :premises (@p146) :args (@t208)) % 0.96/1.14 (step @p148 :rule trans :premises (@p147 @p135)) % 0.96/1.14 (step @p149 :rule cong :premises (@p148) :args (@t209)) % 0.96/1.14 (step @p150 :rule quant-merge-prenex :args ((= @t209 @t210))) % 0.96/1.14 (step @p151 :rule symm :premises (@p150)) % 0.96/1.14 (step @p152 :rule quant_var_reordering :args ((= (forall @t211 @t207) @t210))) % 0.96/1.14 (step @p153 :rule trans :premises (@p152 @p151 @p149)) % 0.96/1.14 (step @p154 :rule trans :premises (@p153 @p134)) % 0.96/1.14 (step @p155 :rule aci_norm :args ((= @t213 @t207))) % 0.96/1.14 (step @p156 :rule cong :premises (@p155) :args (@t214)) % 0.96/1.14 (step @p157 :rule trans 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@p882) :args ((or @t654 (not @t645)))) % 0.96/1.15 (step @p884 :rule cnf_or_neg :args (@t654 4)) % 0.96/1.15 (step @p885 :rule eq_resolve :premises (@p884 @p883)) % 0.96/1.15 (step @p886 :rule reordering :premises (@p885) :args ((or @t644 @t654))) % 0.96/1.15 (step @p887 :rule chain_m_resolution :premises (@p886 @p856) :args (@t644 @t635 @t659)) % 0.96/1.15 (step @p888 :rule bool-impl-elim :args (@t17 @t673)) % 0.96/1.15 (step @p889 :rule cong :premises (@p888) :args ((forall @t9 (=> @t17 @t673)))) % 0.96/1.15 (step @p890 :rule aci_norm :args ((= @t675 @t671))) % 0.96/1.15 (step @p891 :rule cong :premises (@p890) :args (@t676)) % 0.96/1.15 (step @p892 :rule quant-merge-prenex :args ((= (forall @t7 @t678) @t676))) % 0.96/1.15 (step @p893 :rule alpha_equiv :args (@t679 (@list @t661 @t663 @t662 @t660) (@list @t12 @t682 @t681 @t680))) % 0.96/1.15 (step @p894 :rule nary_cong :premises (@p104 @p893) :args (@t683)) % 0.96/1.15 (step @p895 :rule quant-miniscope-or :args ((= @t678 @t683))) % 0.96/1.15 (step @p896 :rule trans :premises (@p895 @p894)) % 0.96/1.15 (step @p897 :rule symm :premises (@p896)) % 0.96/1.15 (step @p898 :rule cong :premises (@p897) :args ((forall @t7 (or @t177 @t690)))) % 0.96/1.15 (step @p899 :rule trans :premises (@p898 @p892)) % 0.96/1.15 (step @p900 :rule trans :premises (@p899 @p891)) % 0.96/1.15 (step @p901 :rule bool-impl-elim :args (@t6 @t690)) % 0.96/1.15 (step @p902 :rule cong :premises (@p901) :args ((forall @t7 (=> @t6 @t690)))) % 0.96/1.15 (step @p903 :rule trans :premises (@p902 @p900)) % 0.96/1.15 (step @p904 :rule aci_norm :args ((= @t692 @t688))) % 0.96/1.15 (step @p905 :rule cong :premises (@p904) :args (@t693)) % 0.96/1.15 (step @p906 :rule quant-merge-prenex :args ((= (forall @t16 @t695) @t693))) % 0.96/1.15 (step @p907 :rule alpha_equiv :args (@t696 (@list @t682 @t681 @t680) @t219)) % 0.96/1.15 (step @p908 :rule refl :args (@t37)) % 0.96/1.15 (step @p909 :rule nary_cong :premises (@p141 @p908 @p907) :args (@t697)) % 0.96/1.15 (step @p910 :rule quant-miniscope-or :args ((= @t695 @t697))) % 0.96/1.15 (step @p911 :rule trans :premises (@p910 @p909)) % 0.96/1.15 (step @p912 :rule symm :premises (@p911)) % 0.96/1.15 (step @p913 :rule cong :premises (@p912) :args ((forall @t16 @t698))) % 0.96/1.15 (step @p914 :rule trans :premises (@p913 @p906)) % 0.96/1.15 (step @p915 :rule trans :premises (@p914 @p905)) % 0.96/1.15 (step @p916 :rule aci_norm :args ((= (or @t205 @t699) @t698))) % 0.96/1.15 (step @p917 :rule bool-impl-elim :args (@t36 @t699)) % 0.96/1.15 (step @p918 :rule trans :premises (@p917 @p916)) % 0.96/1.15 (step @p919 :rule cong :premises (@p918) :args ((forall @t16 (=> @t36 @t699)))) % 0.96/1.15 (step @p920 :rule trans :premises (@p919 @p915)) % 0.96/1.15 (step @p921 :rule refl :args (@t37)) % 0.96/1.15 (step @p922 :rule nary_cong :premises (@p921 @p183) :args (@t700)) % 0.96/1.15 (step @p923 :rule quant-miniscope-or :args ((= (forall @t14 @t701) @t700))) % 0.96/1.15 (step @p924 :rule aci_norm :args ((= @t702 @t701))) % 0.96/1.15 (step @p925 :rule cong :premises (@p924) :args ((forall @t14 @t702))) % 0.96/1.15 (step @p926 :rule trans :premises (@p925 @p923)) % 0.96/1.15 (step @p927 :rule trans :premises (@p926 @p922)) % 0.96/1.15 (step @p928 :rule aci_norm :args ((= (or @t224 @t703) @t702))) % 0.96/1.15 (step @p929 :rule bool-impl-elim :args (@t13 @t703)) % 0.96/1.15 (step @p930 :rule trans :premises (@p929 @p928)) % 0.96/1.15 (step @p931 :rule cong :premises (@p930) :args ((forall @t14 (=> @t13 @t703)))) % 0.96/1.15 (step @p932 :rule trans :premises (@p931 @p927)) % 0.96/1.15 (step @p933 :rule nary_cong :premises (@p921 @p207) :args (@t704)) % 0.96/1.15 (step @p934 :rule quant-miniscope-or :args ((= (forall @t35 @t705) @t704))) % 0.96/1.15 (step @p935 :rule aci_norm :args ((= @t706 @t705))) % 0.96/1.15 (step @p936 :rule cong :premises (@p935) :args ((forall @t35 @t706))) % 0.96/1.15 (step @p937 :rule trans :premises (@p936 @p934)) % 0.96/1.15 (step @p938 :rule trans :premises (@p937 @p933)) % 0.96/1.15 (step @p939 :rule aci_norm :args ((= (or @t240 @t707) @t706))) % 0.96/1.15 (step @p940 :rule bool-impl-elim :args (@t34 @t707)) % 0.96/1.15 (step @p941 :rule trans :premises (@p940 @p939)) % 0.96/1.15 (step @p942 :rule cong :premises (@p941) :args ((forall @t35 (=> @t34 @t707)))) % 0.96/1.15 (step @p943 :rule trans :premises (@p942 @p938)) % 0.96/1.15 (step @p944 :rule quant-miniscope-or :args ((= (forall @t33 @t708) @t707))) % 0.96/1.15 (step @p945 :rule aci_norm :args ((= @t709 @t708))) % 0.96/1.15 (step @p946 :rule cong :premises (@p945) :args ((forall @t33 @t709))) % 0.96/1.15 (step @p947 :rule trans :premises (@p946 @p944)) % 0.96/1.15 (step @p948 :rule aci_norm :args ((= (or @t260 (or @t259 @t37)) @t709))) % 0.96/1.15 (step @p949 :rule bool-impl-elim :args (@t258 @t37)) % 0.96/1.15 (step @p950 :rule nary_cong :premises (@p225 @p949) :args ((or @t260 @t710))) % 0.96/1.15 (step @p951 :rule trans :premises (@p950 @p948)) % 0.96/1.15 (step @p952 :rule bool-impl-elim :args (@t32 @t710)) % 0.96/1.15 (step @p953 :rule trans :premises (@p952 @p951)) % 0.96/1.15 (step @p954 :rule cong :premises (@p953) :args ((forall @t33 (=> @t32 @t710)))) % 0.96/1.15 (step @p955 :rule trans :premises (@p954 @p947)) % 0.96/1.15 (step @p956 :rule cong :premises (@p232 @p921) :args (@t38)) % 0.96/1.15 (step @p957 :rule cong :premises (@p234 @p956) :args (@t39)) % 0.96/1.15 (step @p958 :rule cong :premises (@p957) :args (@t40)) % 0.96/1.15 (step @p959 :rule trans :premises (@p958 @p955)) % 0.96/1.15 (step @p960 :rule cong :premises (@p238 @p959) :args (@t41)) % 0.96/1.15 (step @p961 :rule cong :premises (@p960) :args (@t42)) % 0.96/1.15 (step @p962 :rule trans :premises (@p961 @p943)) % 0.96/1.15 (step @p963 :rule cong :premises (@p242 @p962) :args (@t43)) % 0.96/1.15 (step @p964 :rule cong :premises (@p963) :args (@t44)) % 0.96/1.15 (step @p965 :rule trans :premises (@p964 @p932)) % 0.96/1.15 (step @p966 :rule cong :premises (@p246 @p965) :args (@t45)) % 0.96/1.15 (step @p967 :rule cong :premises (@p966) :args (@t46)) % 0.96/1.15 (step @p968 :rule trans :premises (@p967 @p920)) % 0.96/1.15 (step @p969 :rule cong :premises (@p250 @p968) :args (@t47)) % 0.96/1.15 (step @p970 :rule cong :premises (@p969) :args (@t48)) % 0.96/1.15 (step @p971 :rule trans :premises (@p970 @p903)) % 0.96/1.15 (step @p972 :rule refl :args (@t49)) % 0.96/1.15 (step @p973 :rule cong :premises (@p972 @p971) :args (@t50)) % 0.96/1.15 (step @p974 :rule cong :premises (@p256 @p973) :args (@t51)) % 0.96/1.15 (step @p975 :rule cong :premises (@p974) :args (@t52)) % 0.96/1.15 (step @p976 :rule trans :premises (@p975 @p889)) % 0.96/1.15 (step @p977 :rule eq_resolve :premises (@p12 @p976)) % 0.96/1.15 (step @p978 :rule eq-symm :args (@t311 @t664)) % 0.96/1.15 (step @p979 :rule cong :premises (@p978) :args (@t711)) % 0.96/1.15 (step @p980 :rule refl :args (@t666)) % 0.96/1.15 (step @p981 :rule refl :args (@t667)) % 0.96/1.15 (step @p982 :rule refl :args (@t668)) % 0.96/1.15 (step @p983 :rule refl :args (@t669)) % 0.96/1.15 (step @p984 :rule refl :args (@t670)) % 0.96/1.15 (step @p985 :rule nary_cong :premises (@p130 @p984 @p983 @p982 @p981 @p980 @p979) :args (@t712)) % 0.96/1.15 (step @p986 :rule cong :premises (@p985) :args (@t713)) % 0.96/1.15 (step @p987 :rule refl :args (@t619)) % 0.96/1.15 (step @p988 :rule cong :premises (@p987 @p986) :args (@t714)) % 0.96/1.15 (step @p989 :rule nary_cong :premises (@p270 @p988) :args (@t715)) % 0.96/1.15 (step @p990 :rule refl :args (@t716)) % 0.96/1.15 (step @p991 :rule cong :premises (@p990 @p989) :args ((=> @t716 @t715))) % 0.96/1.15 (assume-push @p1039 @t716) % 0.96/1.15 (step @p993 :rule instantiate :premises (@p977) :args (@t321)) % 0.96/1.15 (step-pop @p1040 :rule scope :premises (@p993)) % 0.96/1.15 (step @p994 :rule process_scope :premises (@p1040) :args (@t715)) % 0.96/1.15 (step @p996 :rule eq_resolve :premises (@p994 @p991)) % 0.96/1.15 (step @p997 :rule implies_elim :premises (@p996)) % 0.96/1.15 (step @p998 :rule chain_m_resolution :premises (@p997 @p977) :args (@t719 @t325 (@list @t716))) % 0.96/1.15 (step @p999 :rule cnf_or_pos :args (@t719)) % 0.96/1.15 (step @p1000 :rule reordering :premises (@p999) :args ((or @t318 @t718 (not @t719)))) % 0.96/1.15 (step @p1001 :rule chain_m_resolution :premises (@p1000 @p827 @p998) :args (@t718 @t637 (@list @t317 @t719))) % 0.96/1.15 (step @p1002 :rule bool-double-not-elim :args (@t619)) % 0.96/1.15 (step @p1003 :rule nary_cong :premises (@p822 @p1002) :args ((or @t621 (not @t620)))) % 0.96/1.15 (step @p1004 :rule cnf_or_neg :args (@t621 2)) % 0.96/1.15 (step @p1005 :rule eq_resolve :premises (@p1004 @p1003)) % 0.96/1.15 (step @p1006 :rule reordering :premises (@p1005) :args ((or @t619 @t621))) % 0.96/1.15 (step @p1007 :rule chain_m_resolution :premises (@p1006 @p820) :args (@t619 @t635 @t636)) % 0.96/1.15 (step @p1008 :rule cnf_equiv_pos1 :args (@t718)) % 0.96/1.15 (step @p1009 :rule reordering :premises (@p1008) :args ((or @t620 @t717 (not @t718)))) % 0.96/1.15 (step @p1010 :rule chain_m_resolution :premises (@p1009 @p1007 @p1001) :args (@t717 @t637 (@list @t619 @t718))) % 0.96/1.15 (step @p1011 :rule refl :args (@t720)) % 0.96/1.15 (step @p1012 :rule nary_cong :premises (@p844 @p844 @p1011 @p843 @p842 @p841 @p840) :args (@t721)) % 0.96/1.15 (step @p1013 :rule refl :args (@t717)) % 0.96/1.15 (step @p1014 :rule cong :premises (@p1013 @p1012) :args ((=> @t717 @t721))) % 0.96/1.15 (assume-push @p1041 @t717) % 0.96/1.15 (step @p1016 :rule instantiate :premises (@p1010) :args ((@list @t640 @t640 @t642 @t641 @t639))) % 0.96/1.15 (step-pop @p1042 :rule scope :premises (@p1016)) % 0.96/1.15 (step @p1017 :rule process_scope :premises (@p1042) :args (@t721)) % 0.96/1.15 (step @p1019 :rule eq_resolve :premises (@p1017 @p1014)) % 0.96/1.15 (step @p1020 :rule implies_elim :premises (@p1019)) % 0.96/1.15 (step @p1021 :rule chain_m_resolution :premises (@p1020 @p1010) :args (@t722 @t325 (@list @t717))) % 0.96/1.15 (step @p1022 :rule bool-impl-elim :args (@t8 @t94)) % 0.96/1.15 (step @p1023 :rule cong :premises (@p1022) :args (@t95)) % 0.96/1.15 (step @p1024 :rule eq_resolve :premises (@p90 @p1023)) % 0.96/1.15 (step @p1025 :rule instantiate :premises (@p1024) :args ((@list @t640))) % 0.96/1.15 (step @p1026 :rule cnf_or_pos :args (@t724)) % 0.96/1.15 (step @p1027 :rule reordering :premises (@p1026) :args ((or @t653 @t723 (not @t724)))) % 0.96/1.15 (step @p1028 :rule chain_m_resolution :premises (@p1027 @p863 @p1025) :args (@t723 @t637 (@list @t652 @t724))) % 0.96/1.15 (step @p1029 :rule cnf_or_pos :args (@t722)) % 0.96/1.15 (step @p1030 :rule factoring :premises (@p1029)) % 0.96/1.15 (step @p1031 :rule reordering :premises (@p1030) :args ((or @t653 @t651 @t649 @t647 @t645 @t720 (not @t722)))) % 0.96/1.15 (step @p1032 false :rule chain_m_resolution :premises (@p1031 @p1028 @p1021 @p887 @p881 @p875 @p869 @p863) :args (false (@list true false false false false false false) (@list @t720 @t722 @t644 @t646 @t648 @t650 @t652))) % 0.96/1.15 ) % 0.96/1.15 % SZS output end Proof % 0.96/1.15 % cvc5 exiting %------------------------------------------------------------------------------