%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC270+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 : n018.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 08:58:40 AM UTC 2026 % Result : Theorem 0.86s 1.09s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC270+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 19:34:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.86/1.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.86/1.09 % SZS status Theorem % 0.86/1.09 % SZS output start Proof % 0.86/1.09 ( % 0.86/1.09 (declare-sort $$unsorted 0) % 0.86/1.09 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.86/1.09 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.86/1.09 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.09 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.09 (declare-const tptp.nil $$unsorted) % 0.86/1.09 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.86/1.09 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.86/1.09 (define @t1 () (@var "V" $$unsorted)) % 0.86/1.09 (define @t2 () (@var "U" $$unsorted)) % 0.86/1.09 (define @t3 () (= @t2 @t1)) % 0.86/1.09 (define @t4 () (not @t3)) % 0.86/1.09 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.86/1.09 (define @t6 () (tptp.ssItem @t1)) % 0.86/1.09 (define @t7 () (@list @t1)) % 0.86/1.09 (define @t8 () (tptp.ssItem @t2)) % 0.86/1.09 (define @t9 () (@list @t2)) % 0.86/1.09 (define @t10 () (@var "X" $$unsorted)) % 0.86/1.09 (define @t11 () (tptp.cons @t1 @t10)) % 0.86/1.09 (define @t12 () (@var "W" $$unsorted)) % 0.86/1.09 (define @t13 () (tptp.ssList @t10)) % 0.86/1.09 (define @t14 () (@list @t10)) % 0.86/1.09 (define @t15 () (tptp.ssList @t12)) % 0.86/1.09 (define @t16 () (@list @t12)) % 0.86/1.09 (define @t17 () (tptp.ssList @t2)) % 0.86/1.09 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.86/1.09 (define @t19 () (tptp.app @t1 @t12)) % 0.86/1.09 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.86/1.09 (define @t21 () (tptp.ssList @t1)) % 0.86/1.09 (define @t22 () (tptp.app @t12 @t1)) % 0.86/1.09 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.86/1.09 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.86/1.09 (define @t25 () (tptp.leq @t12 @t1)) % 0.86/1.09 (define @t26 () (tptp.leq @t1 @t12)) % 0.86/1.09 (define @t27 () (@var "Z" $$unsorted)) % 0.86/1.09 (define @t28 () (@var "Y" $$unsorted)) % 0.86/1.09 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 0.86/1.09 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 0.86/1.09 (define @t31 () (= @t30 @t2)) % 0.86/1.09 (define @t32 () (tptp.ssList @t27)) % 0.86/1.09 (define @t33 () (@list @t27)) % 0.86/1.09 (define @t34 () (tptp.ssList @t28)) % 0.86/1.09 (define @t35 () (@list @t28)) % 0.86/1.09 (define @t36 () (tptp.ssItem @t12)) % 0.86/1.09 (define @t37 () (tptp.lt @t1 @t12)) % 0.86/1.09 (define @t38 () (=> @t31 @t26)) % 0.86/1.09 (define @t39 () (=> @t32 @t38)) % 0.86/1.09 (define @t40 () (forall @t33 @t39)) % 0.86/1.09 (define @t41 () (=> @t34 @t40)) % 0.86/1.09 (define @t42 () (forall @t35 @t41)) % 0.86/1.09 (define @t43 () (=> @t13 @t42)) % 0.86/1.09 (define @t44 () (forall @t14 @t43)) % 0.86/1.09 (define @t45 () (=> @t36 @t44)) % 0.86/1.09 (define @t46 () (forall @t16 @t45)) % 0.86/1.09 (define @t47 () (=> @t6 @t46)) % 0.86/1.09 (define @t48 () (forall @t7 @t47)) % 0.86/1.09 (define @t49 () (tptp.totalorderedP @t2)) % 0.86/1.09 (define @t50 () (= @t49 @t48)) % 0.86/1.09 (define @t51 () (=> @t17 @t50)) % 0.86/1.09 (define @t52 () (forall @t9 @t51)) % 0.86/1.09 (define @t53 () (=> @t31 @t37)) % 0.86/1.09 (define @t54 () (=> @t32 @t53)) % 0.86/1.09 (define @t55 () (forall @t33 @t54)) % 0.86/1.09 (define @t56 () (=> @t34 @t55)) % 0.86/1.09 (define @t57 () (forall @t35 @t56)) % 0.86/1.09 (define @t58 () (=> @t13 @t57)) % 0.86/1.09 (define @t59 () (forall @t14 @t58)) % 0.86/1.09 (define @t60 () (=> @t36 @t59)) % 0.86/1.09 (define @t61 () (forall @t16 @t60)) % 0.86/1.09 (define @t62 () (=> @t6 @t61)) % 0.86/1.09 (define @t63 () (forall @t7 @t62)) % 0.86/1.09 (define @t64 () (tptp.strictorderedP @t2)) % 0.86/1.09 (define @t65 () (= @t64 @t63)) % 0.86/1.09 (define @t66 () (=> @t17 @t65)) % 0.86/1.09 (define @t67 () (forall @t9 @t66)) % 0.86/1.09 (define @t68 () (= @t1 @t12)) % 0.86/1.09 (define @t69 () (tptp.cons @t1 @t2)) % 0.86/1.09 (define @t70 () (= @t1 @t2)) % 0.86/1.09 (define @t71 () (tptp.cons @t12 @t1)) % 0.86/1.09 (define @t72 () (= tptp.nil @t2)) % 0.86/1.09 (define @t73 () (tptp.hd @t2)) % 0.86/1.09 (define @t74 () (not @t72)) % 0.86/1.09 (define @t75 () (tptp.tl @t2)) % 0.86/1.09 (define @t76 () (tptp.app @t2 @t1)) % 0.86/1.09 (define @t77 () (tptp.app @t1 @t2)) % 0.86/1.09 (define @t78 () (tptp.leq @t1 @t2)) % 0.86/1.09 (define @t79 () (tptp.leq @t2 @t1)) % 0.86/1.09 (define @t80 () (tptp.geq @t2 @t1)) % 0.86/1.09 (define @t81 () (tptp.lt @t1 @t2)) % 0.86/1.09 (define @t82 () (tptp.lt @t2 @t1)) % 0.86/1.09 (define @t83 () (tptp.lt @t2 @t12)) % 0.86/1.09 (define @t84 () (tptp.gt @t2 @t1)) % 0.86/1.09 (define @t85 () (tptp.memberP @t12 @t2)) % 0.86/1.09 (define @t86 () (tptp.app @t12 @t2)) % 0.86/1.09 (define @t87 () (tptp.segmentP @t1 @t12)) % 0.86/1.09 (define @t88 () (tptp.segmentP @t1 @t2)) % 0.86/1.09 (define @t89 () (tptp.cons @t2 tptp.nil)) % 0.86/1.09 (define @t90 () (tptp.hd @t1)) % 0.86/1.09 (define @t91 () (= tptp.nil @t1)) % 0.86/1.09 (define @t92 () (not @t91)) % 0.86/1.09 (define @t93 () (tptp.cons @t2 @t1)) % 0.86/1.09 (define @t94 () (= @t12 @t2)) % 0.86/1.09 (define @t95 () (= @t82 (and @t4 @t79))) % 0.86/1.09 (define @t96 () (forall @t7 (=> @t6 @t95))) % 0.86/1.09 (define @t97 () (=> @t8 @t96)) % 0.86/1.09 (define @t98 () (forall @t9 @t97)) % 0.86/1.09 (define @t99 () (not (tptp.strictorderedP @t12))) % 0.86/1.09 (define @t100 () (not (tptp.segmentP @t10 @t12))) % 0.86/1.09 (define @t101 () (not (= @t2 @t12))) % 0.86/1.09 (define @t102 () (not (= @t1 @t10))) % 0.86/1.09 (define @t103 () (not @t13)) % 0.86/1.09 (define @t104 () (or @t103 @t102 @t101 @t100 @t99 @t49)) % 0.86/1.09 (define @t105 () (forall @t14 @t104)) % 0.86/1.09 (define @t106 () (=> @t15 @t105)) % 0.86/1.09 (define @t107 () (forall @t16 @t106)) % 0.86/1.09 (define @t108 () (=> @t21 @t107)) % 0.86/1.09 (define @t109 () (forall @t7 @t108)) % 0.86/1.09 (define @t110 () (=> @t17 @t109)) % 0.86/1.09 (define @t111 () (forall @t9 @t110)) % 0.86/1.09 (define @t112 () (not @t111)) % 0.86/1.09 (define @t113 () (@var "BOUND_VARIABLE_8783" $$unsorted)) % 0.86/1.09 (define @t114 () (@var "BOUND_VARIABLE_8777" $$unsorted)) % 0.86/1.09 (define @t115 () (@var "BOUND_VARIABLE_8781" $$unsorted)) % 0.86/1.09 (define @t116 () (@var "BOUND_VARIABLE_8779" $$unsorted)) % 0.86/1.09 (define @t117 () (tptp.app (tptp.app @t116 (tptp.cons @t1 @t115)) (tptp.cons @t114 @t113))) % 0.86/1.09 (define @t118 () (not (= @t2 @t117))) % 0.86/1.09 (define @t119 () (not (tptp.ssList @t113))) % 0.86/1.09 (define @t120 () (not (tptp.ssList @t115))) % 0.86/1.09 (define @t121 () (not (tptp.ssList @t116))) % 0.86/1.09 (define @t122 () (tptp.leq @t1 @t114)) % 0.86/1.09 (define @t123 () (not (tptp.ssItem @t114))) % 0.86/1.09 (define @t124 () (not @t6)) % 0.86/1.09 (define @t125 () (or @t124 @t123 @t122 @t121 @t120 @t119 @t118)) % 0.86/1.09 (define @t126 () (@list @t1 @t114 @t116 @t115 @t113)) % 0.86/1.09 (define @t127 () (= @t49 (forall @t126 @t125))) % 0.86/1.09 (define @t128 () (or @t123 @t122 @t121 @t120 @t119 @t118)) % 0.86/1.09 (define @t129 () (or @t124 @t128)) % 0.86/1.09 (define @t130 () (forall @t126 @t129)) % 0.86/1.09 (define @t131 () (@list @t114 @t116 @t115 @t113)) % 0.86/1.09 (define @t132 () (forall @t131 @t129)) % 0.86/1.09 (define @t133 () (forall @t131 @t128)) % 0.86/1.09 (define @t134 () (@var "BOUND_VARIABLE_8753" $$unsorted)) % 0.86/1.09 (define @t135 () (@var "BOUND_VARIABLE_8751" $$unsorted)) % 0.86/1.09 (define @t136 () (@var "BOUND_VARIABLE_8749" $$unsorted)) % 0.86/1.09 (define @t137 () (or @t124 @t133)) % 0.86/1.09 (define @t138 () (not (= @t2 (tptp.app (tptp.app @t136 (tptp.cons @t1 @t135)) (tptp.cons @t12 @t134))))) % 0.86/1.09 (define @t139 () (not (tptp.ssList @t134))) % 0.86/1.09 (define @t140 () (not (tptp.ssList @t135))) % 0.86/1.09 (define @t141 () (not (tptp.ssList @t136))) % 0.86/1.09 (define @t142 () (not @t36)) % 0.86/1.09 (define @t143 () (or @t142 @t26 @t141 @t140 @t139 @t138)) % 0.86/1.09 (define @t144 () (@list @t12 @t136 @t135 @t134)) % 0.86/1.09 (define @t145 () (forall @t144 @t143)) % 0.86/1.09 (define @t146 () (or @t141 @t140 @t139 @t138)) % 0.86/1.09 (define @t147 () (or @t142 @t26 @t146)) % 0.86/1.09 (define @t148 () (forall @t144 @t147)) % 0.86/1.09 (define @t149 () (@list @t136 @t135 @t134)) % 0.86/1.09 (define @t150 () (forall @t149 @t147)) % 0.86/1.09 (define @t151 () (forall @t149 @t146)) % 0.86/1.09 (define @t152 () (@var "BOUND_VARIABLE_8462" $$unsorted)) % 0.86/1.09 (define @t153 () (@var "BOUND_VARIABLE_8460" $$unsorted)) % 0.86/1.09 (define @t154 () (@list @t10 @t153 @t152)) % 0.86/1.09 (define @t155 () (or @t142 @t26 @t151)) % 0.86/1.09 (define @t156 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t153)) (tptp.cons @t12 @t152))))) % 0.86/1.09 (define @t157 () (not (tptp.ssList @t152))) % 0.86/1.09 (define @t158 () (not (tptp.ssList @t153))) % 0.86/1.09 (define @t159 () (or @t103 @t158 @t157 @t156)) % 0.86/1.09 (define @t160 () (@list @t10 @t153 @t152)) % 0.86/1.09 (define @t161 () (forall @t160 @t159)) % 0.86/1.09 (define @t162 () (or @t142 @t26 @t161)) % 0.86/1.09 (define @t163 () (or @t26 @t161)) % 0.86/1.09 (define @t164 () (or @t158 @t157 @t156)) % 0.86/1.09 (define @t165 () (or @t103 @t164)) % 0.86/1.09 (define @t166 () (forall @t160 @t165)) % 0.86/1.09 (define @t167 () (@list @t153 @t152)) % 0.86/1.09 (define @t168 () (forall @t167 @t165)) % 0.86/1.09 (define @t169 () (forall @t167 @t164)) % 0.86/1.09 (define @t170 () (@var "BOUND_VARIABLE_8438" $$unsorted)) % 0.86/1.09 (define @t171 () (or @t103 @t169)) % 0.86/1.09 (define @t172 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t170))))) % 0.86/1.09 (define @t173 () (not (tptp.ssList @t170))) % 0.86/1.09 (define @t174 () (not @t34)) % 0.86/1.09 (define @t175 () (or @t174 @t173 @t172)) % 0.86/1.09 (define @t176 () (@list @t28 @t170)) % 0.86/1.09 (define @t177 () (forall @t176 @t175)) % 0.86/1.09 (define @t178 () (or @t103 @t177)) % 0.86/1.09 (define @t179 () (forall @t14 @t178)) % 0.86/1.09 (define @t180 () (or @t26 @t179)) % 0.86/1.09 (define @t181 () (or @t26 @t178)) % 0.86/1.09 (define @t182 () (or @t103 @t26 @t177)) % 0.86/1.09 (define @t183 () (or @t26 @t177)) % 0.86/1.09 (define @t184 () (or @t173 @t172)) % 0.86/1.09 (define @t185 () (or @t174 @t184)) % 0.86/1.09 (define @t186 () (forall @t176 @t185)) % 0.86/1.09 (define @t187 () (@list @t170)) % 0.86/1.09 (define @t188 () (forall @t187 @t185)) % 0.86/1.09 (define @t189 () (forall @t187 @t184)) % 0.86/1.09 (define @t190 () (or @t174 @t189)) % 0.86/1.09 (define @t191 () (= @t2 @t30)) % 0.86/1.09 (define @t192 () (not @t191)) % 0.86/1.09 (define @t193 () (not @t32)) % 0.86/1.09 (define @t194 () (or @t193 @t192)) % 0.86/1.09 (define @t195 () (forall @t33 @t194)) % 0.86/1.09 (define @t196 () (or @t174 @t195)) % 0.86/1.09 (define @t197 () (forall @t35 @t196)) % 0.86/1.09 (define @t198 () (or @t26 @t197)) % 0.86/1.09 (define @t199 () (or @t26 @t196)) % 0.86/1.09 (define @t200 () (or @t174 @t26 @t195)) % 0.86/1.09 (define @t201 () (or @t26 @t195)) % 0.86/1.09 (define @t202 () (or @t26 @t194)) % 0.86/1.09 (define @t203 () (or @t193 @t192 @t26)) % 0.86/1.09 (define @t204 () (=> @t191 @t26)) % 0.86/1.09 (define @t205 () (@var "BOUND_VARIABLE_10947" $$unsorted)) % 0.86/1.09 (define @t206 () (not (tptp.segmentP @t205 @t2))) % 0.86/1.09 (define @t207 () (not (tptp.ssList @t205))) % 0.86/1.09 (define @t208 () (not @t64)) % 0.86/1.09 (define @t209 () (not @t17)) % 0.86/1.09 (define @t210 () (or @t209 @t49 @t208 @t207 @t206)) % 0.86/1.09 (define @t211 () (@list @t2 @t205)) % 0.86/1.09 (define @t212 () (forall @t211 @t210)) % 0.86/1.09 (define @t213 () (@quantifiers_skolemize @t212 0)) % 0.86/1.09 (define @t214 () (not (= @t213 @t117))) % 0.86/1.09 (define @t215 () (or @t124 @t123 @t122 @t121 @t120 @t119 @t214)) % 0.86/1.09 (define @t216 () (forall @t126 @t215)) % 0.86/1.09 (define @t217 () (tptp.totalorderedP @t213)) % 0.86/1.09 (define @t218 () (= @t217 @t216)) % 0.86/1.09 (define @t219 () (tptp.ssList @t213)) % 0.86/1.09 (define @t220 () (not @t219)) % 0.86/1.09 (define @t221 () (or @t220 @t218)) % 0.86/1.09 (define @t222 () (forall @t9 (or @t209 @t127))) % 0.86/1.09 (define @t223 () (@list @t213)) % 0.86/1.09 (define @t224 () (forall @t126 (or @t124 @t123 @t122 @t121 @t120 @t119 (not (= @t117 @t213))))) % 0.86/1.09 (define @t225 () (= @t217 @t224)) % 0.86/1.09 (define @t226 () (or @t220 @t225)) % 0.86/1.09 (define @t227 () (@list false)) % 0.86/1.09 (define @t228 () (or @t207 @t206)) % 0.86/1.09 (define @t229 () (or @t209 @t49 @t208 @t228)) % 0.86/1.09 (define @t230 () (forall @t211 @t229)) % 0.86/1.09 (define @t231 () (@list @t205)) % 0.86/1.09 (define @t232 () (forall @t231 @t229)) % 0.86/1.09 (define @t233 () (forall @t231 @t228)) % 0.86/1.09 (define @t234 () (@list @t1)) % 0.86/1.09 (define @t235 () (or @t209 @t49 @t208 @t233)) % 0.86/1.09 (define @t236 () (not @t88)) % 0.86/1.09 (define @t237 () (not @t21)) % 0.86/1.09 (define @t238 () (or @t237 @t236)) % 0.86/1.09 (define @t239 () (forall @t7 @t238)) % 0.86/1.09 (define @t240 () (or @t209 @t49 @t208 @t239)) % 0.86/1.09 (define @t241 () (or @t49 @t209 @t208 @t239)) % 0.86/1.09 (define @t242 () (or @t49 @t209 @t208 @t238)) % 0.86/1.09 (define @t243 () (or @t237 @t49 @t209 @t208 @t236)) % 0.86/1.09 (define @t244 () (or @t49 @t237 @t209 @t208 @t236)) % 0.86/1.09 (define @t245 () (or @t209 @t208 @t236)) % 0.86/1.09 (define @t246 () (not (= @t2 @t2))) % 0.86/1.09 (define @t247 () (or @t209 @t246 @t208 @t236)) % 0.86/1.09 (define @t248 () (not @t87)) % 0.86/1.09 (define @t249 () (not @t15)) % 0.86/1.09 (define @t250 () (or @t101 @t249 @t101 @t99 @t248)) % 0.86/1.09 (define @t251 () (or @t249 @t101 @t99 @t248)) % 0.86/1.09 (define @t252 () (forall @t16 @t251)) % 0.86/1.09 (define @t253 () (or @t49 @t237 @t252)) % 0.86/1.09 (define @t254 () (or @t49 @t237 @t251)) % 0.86/1.09 (define @t255 () (or @t249 @t101 @t99 @t49 @t237 @t248)) % 0.86/1.09 (define @t256 () (or @t101 @t99 @t49 @t237 @t248)) % 0.86/1.09 (define @t257 () (or @t237 @t248)) % 0.86/1.09 (define @t258 () (not (= @t1 @t1))) % 0.86/1.09 (define @t259 () (or @t237 @t258 @t248)) % 0.86/1.09 (define @t260 () (or @t102 @t103 @t102 @t100)) % 0.86/1.09 (define @t261 () (or @t103 @t102 @t100)) % 0.86/1.09 (define @t262 () (forall @t14 @t261)) % 0.86/1.09 (define @t263 () (or @t101 @t99 @t49 @t262)) % 0.86/1.09 (define @t264 () (or @t101 @t99 @t49 @t261)) % 0.86/1.09 (define @t265 () (@quantifiers_skolemize @t212 1)) % 0.86/1.09 (define @t266 () (tptp.strictorderedP @t213)) % 0.86/1.09 (define @t267 () (not @t266)) % 0.86/1.09 (define @t268 () (or @t220 @t217 @t267 (not (tptp.ssList @t265)) (not (tptp.segmentP @t265 @t213)))) % 0.86/1.09 (define @t269 () (@list true)) % 0.86/1.09 (define @t270 () (@list @t268)) % 0.86/1.09 (define @t271 () (@list false false)) % 0.86/1.09 (define @t272 () (not @t224)) % 0.86/1.09 (define @t273 () (@quantifiers_skolemize @t224 4)) % 0.86/1.09 (define @t274 () (@quantifiers_skolemize @t224 1)) % 0.86/1.09 (define @t275 () (@quantifiers_skolemize @t224 3)) % 0.86/1.09 (define @t276 () (@quantifiers_skolemize @t224 0)) % 0.86/1.09 (define @t277 () (@quantifiers_skolemize @t224 2)) % 0.86/1.09 (define @t278 () (tptp.app (tptp.app @t277 (tptp.cons @t276 @t275)) (tptp.cons @t274 @t273))) % 0.86/1.09 (define @t279 () (= @t213 @t278)) % 0.86/1.09 (define @t280 () (not @t279)) % 0.86/1.09 (define @t281 () (tptp.ssList @t273)) % 0.86/1.09 (define @t282 () (not @t281)) % 0.86/1.09 (define @t283 () (tptp.ssList @t275)) % 0.86/1.09 (define @t284 () (not @t283)) % 0.86/1.09 (define @t285 () (tptp.ssList @t277)) % 0.86/1.09 (define @t286 () (not @t285)) % 0.86/1.09 (define @t287 () (tptp.leq @t276 @t274)) % 0.86/1.09 (define @t288 () (tptp.ssItem @t274)) % 0.86/1.09 (define @t289 () (not @t288)) % 0.86/1.09 (define @t290 () (tptp.ssItem @t276)) % 0.86/1.09 (define @t291 () (not @t290)) % 0.86/1.09 (define @t292 () (or @t291 @t289 @t287 @t286 @t284 @t282 @t280)) % 0.86/1.09 (define @t293 () (not @t292)) % 0.86/1.09 (define @t294 () (not (= @t278 @t213))) % 0.86/1.09 (define @t295 () (or @t291 @t289 @t287 @t286 @t284 @t282 @t294)) % 0.86/1.09 (define @t296 () (not @t295)) % 0.86/1.09 (define @t297 () (@list @t292)) % 0.86/1.09 (define @t298 () (and (not (= @t276 @t274)) @t287)) % 0.86/1.09 (define @t299 () (not @t298)) % 0.86/1.09 (define @t300 () (@var "BOUND_VARIABLE_10823" $$unsorted)) % 0.86/1.09 (define @t301 () (= (tptp.lt @t2 @t300) (and (not (= @t2 @t300)) (tptp.leq @t2 @t300)))) % 0.86/1.09 (define @t302 () (not (tptp.ssItem @t300))) % 0.86/1.09 (define @t303 () (not @t8)) % 0.86/1.09 (define @t304 () (or @t302 @t301)) % 0.86/1.09 (define @t305 () (or @t303 @t304)) % 0.86/1.09 (define @t306 () (forall (@list @t2 @t300) @t305)) % 0.86/1.09 (define @t307 () (@list @t300)) % 0.86/1.09 (define @t308 () (forall @t307 @t305)) % 0.86/1.09 (define @t309 () (forall @t307 @t304)) % 0.86/1.09 (define @t310 () (or @t303 @t309)) % 0.86/1.09 (define @t311 () (forall @t7 (or @t124 @t95))) % 0.86/1.09 (define @t312 () (tptp.lt @t276 @t274)) % 0.86/1.09 (define @t313 () (= @t312 @t298)) % 0.86/1.09 (define @t314 () (or @t291 @t289 @t313)) % 0.86/1.09 (define @t315 () (@var "BOUND_VARIABLE_8869" $$unsorted)) % 0.86/1.09 (define @t316 () (@var "BOUND_VARIABLE_8863" $$unsorted)) % 0.86/1.09 (define @t317 () (@var "BOUND_VARIABLE_8867" $$unsorted)) % 0.86/1.09 (define @t318 () (@var "BOUND_VARIABLE_8865" $$unsorted)) % 0.86/1.09 (define @t319 () (tptp.app (tptp.app @t318 (tptp.cons @t1 @t317)) (tptp.cons @t316 @t315))) % 0.86/1.09 (define @t320 () (not (= @t2 @t319))) % 0.86/1.09 (define @t321 () (not (tptp.ssList @t315))) % 0.86/1.09 (define @t322 () (not (tptp.ssList @t317))) % 0.86/1.09 (define @t323 () (not (tptp.ssList @t318))) % 0.86/1.09 (define @t324 () (tptp.lt @t1 @t316)) % 0.86/1.09 (define @t325 () (not (tptp.ssItem @t316))) % 0.86/1.09 (define @t326 () (or @t124 @t325 @t324 @t323 @t322 @t321 @t320)) % 0.86/1.09 (define @t327 () (@list @t1 @t316 @t318 @t317 @t315)) % 0.86/1.09 (define @t328 () (= @t64 (forall @t327 @t326))) % 0.86/1.09 (define @t329 () (or @t325 @t324 @t323 @t322 @t321 @t320)) % 0.86/1.09 (define @t330 () (or @t124 @t329)) % 0.86/1.09 (define @t331 () (forall @t327 @t330)) % 0.86/1.09 (define @t332 () (@list @t316 @t318 @t317 @t315)) % 0.86/1.09 (define @t333 () (forall @t332 @t330)) % 0.86/1.09 (define @t334 () (forall @t332 @t329)) % 0.86/1.09 (define @t335 () (@var "BOUND_VARIABLE_8839" $$unsorted)) % 0.86/1.09 (define @t336 () (@var "BOUND_VARIABLE_8837" $$unsorted)) % 0.86/1.09 (define @t337 () (@var "BOUND_VARIABLE_8835" $$unsorted)) % 0.86/1.09 (define @t338 () (or @t124 @t334)) % 0.86/1.09 (define @t339 () (not (= @t2 (tptp.app (tptp.app @t337 (tptp.cons @t1 @t336)) (tptp.cons @t12 @t335))))) % 0.86/1.09 (define @t340 () (not (tptp.ssList @t335))) % 0.86/1.09 (define @t341 () (not (tptp.ssList @t336))) % 0.86/1.09 (define @t342 () (not (tptp.ssList @t337))) % 0.86/1.09 (define @t343 () (or @t142 @t37 @t342 @t341 @t340 @t339)) % 0.86/1.09 (define @t344 () (@list @t12 @t337 @t336 @t335)) % 0.86/1.09 (define @t345 () (forall @t344 @t343)) % 0.86/1.09 (define @t346 () (or @t342 @t341 @t340 @t339)) % 0.86/1.09 (define @t347 () (or @t142 @t37 @t346)) % 0.86/1.09 (define @t348 () (forall @t344 @t347)) % 0.86/1.09 (define @t349 () (@list @t337 @t336 @t335)) % 0.86/1.09 (define @t350 () (forall @t349 @t347)) % 0.86/1.09 (define @t351 () (forall @t349 @t346)) % 0.86/1.09 (define @t352 () (or @t142 @t37 @t351)) % 0.86/1.09 (define @t353 () (or @t142 @t37 @t161)) % 0.86/1.09 (define @t354 () (or @t37 @t161)) % 0.86/1.09 (define @t355 () (or @t37 @t179)) % 0.86/1.09 (define @t356 () (or @t37 @t178)) % 0.86/1.09 (define @t357 () (or @t103 @t37 @t177)) % 0.86/1.09 (define @t358 () (or @t37 @t177)) % 0.86/1.09 (define @t359 () (or @t37 @t197)) % 0.86/1.09 (define @t360 () (or @t37 @t196)) % 0.86/1.09 (define @t361 () (or @t174 @t37 @t195)) % 0.86/1.10 (define @t362 () (or @t37 @t195)) % 0.86/1.10 (define @t363 () (or @t37 @t194)) % 0.86/1.10 (define @t364 () (or @t193 @t192 @t37)) % 0.86/1.10 (define @t365 () (=> @t191 @t37)) % 0.86/1.10 (define @t366 () (not (= @t213 @t319))) % 0.86/1.10 (define @t367 () (or @t124 @t325 @t324 @t323 @t322 @t321 @t366)) % 0.86/1.10 (define @t368 () (forall @t327 @t367)) % 0.86/1.10 (define @t369 () (= @t266 @t368)) % 0.86/1.10 (define @t370 () (or @t220 @t369)) % 0.86/1.10 (define @t371 () (forall @t9 (or @t209 @t328))) % 0.86/1.10 (define @t372 () (forall @t327 (or @t124 @t325 @t324 @t323 @t322 @t321 (not (= @t319 @t213))))) % 0.86/1.10 (define @t373 () (= @t266 @t372)) % 0.86/1.10 (define @t374 () (or @t220 @t373)) % 0.86/1.10 (define @t375 () (or @t291 @t289 @t312 @t286 @t284 @t282 @t294)) % 0.86/1.10 (define @t376 () (or @t291 @t289 @t312 @t286 @t284 @t282 @t280)) % 0.86/1.10 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.86/1.10 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.86/1.10 (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))))))))))) % 0.86/1.10 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.86/1.10 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.86/1.10 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.86/1.10 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.86/1.10 (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))))))))))))))))) % 0.86/1.10 (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)))))))))))))))) % 0.86/1.10 (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))))))))))))))))) % 0.86/1.10 (assume @p11 @t52) % 0.86/1.10 (assume @p12 @t67) % 0.86/1.10 (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)))))))))))))))) % 0.86/1.10 (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))))))))))))) % 0.86/1.10 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.86/1.10 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t69)))))) % 0.86/1.10 (assume @p17 (tptp.ssList tptp.nil)) % 0.86/1.10 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t69 @t2))))))) % 0.86/1.10 (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))))))))))) % 0.86/1.10 (assume @p20 (forall @t9 (=> @t17 (or @t72 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t71 @t2))))))))) % 0.86/1.10 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t69))))))) % 0.86/1.10 (assume @p22 (forall @t9 (=> @t17 (=> @t74 (tptp.ssItem @t73))))) % 0.86/1.10 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t69) @t1)))))) % 0.86/1.10 (assume @p24 (forall @t9 (=> @t17 (=> @t74 (tptp.ssList @t75))))) % 0.86/1.10 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t69) @t2)))))) % 0.86/1.10 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t76)))))) % 0.86/1.10 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (= (tptp.cons @t12 @t77) (tptp.app @t71 @t2))))))))) % 0.86/1.10 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.86/1.10 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t79 @t78) @t3)))))) % 0.86/1.10 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t79 @t26) (tptp.leq @t2 @t12))))))))) % 0.86/1.10 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.86/1.10 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t80 @t78)))))) % 0.86/1.10 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t82 (not @t81))))))) % 0.86/1.10 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t37) @t83)))))))) % 0.86/1.10 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t84 @t81)))))) % 0.86/1.10 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t85))))))))) % 0.86/1.10 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t85))))))))) % 0.86/1.10 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.86/1.10 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.86/1.10 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.86/1.10 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.86/1.10 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.86/1.10 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.86/1.10 (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)))))))))))) % 0.86/1.10 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.86/1.10 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t72)))) % 0.86/1.10 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.86/1.10 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.86/1.10 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.86/1.10 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t86 @t1))))))))) % 0.86/1.10 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.86/1.10 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t72)))) % 0.86/1.10 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 @t87) (tptp.segmentP @t2 @t12))))))))) % 0.86/1.10 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 @t88) @t3)))))) % 0.86/1.10 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.86/1.10 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t86 @t10) @t1))))))))))) % 0.86/1.10 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.86/1.10 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t72)))) % 0.86/1.10 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t89)))) % 0.86/1.10 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.86/1.10 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t89)))) % 0.86/1.10 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.86/1.10 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t89)))) % 0.86/1.10 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.86/1.10 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t89)))) % 0.86/1.10 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.86/1.10 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t93) (or @t91 (and @t92 (tptp.totalorderedP @t1) (tptp.leq @t2 @t90))))))))) % 0.86/1.10 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t89)))) % 0.86/1.10 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.86/1.10 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t93) (or @t91 (and @t92 (tptp.strictorderedP @t1) (tptp.lt @t2 @t90))))))))) % 0.86/1.10 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t89)))) % 0.86/1.10 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.86/1.10 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t89)))) % 0.86/1.10 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.86/1.10 (assume @p75 (forall @t9 (=> @t17 (=> @t74 (exists @t7 (and @t6 (= @t73 @t1))))))) % 0.86/1.10 (assume @p76 (forall @t9 (=> @t17 (=> @t74 (exists @t7 (and @t21 (= @t75 @t1))))))) % 0.86/1.10 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t92 @t74 (= @t90 @t73) (= (tptp.tl @t1) @t75)) @t70)))))) % 0.86/1.10 (assume @p78 (forall @t9 (=> @t17 (=> @t74 (= (tptp.cons @t73 @t75) @t2))))) % 0.86/1.10 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t76) @t94)))))))) % 0.86/1.10 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t77) @t94)))))))) % 0.86/1.10 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t69 (tptp.app @t18 @t2))))))) % 0.86/1.10 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t76 @t12) (tptp.app @t2 @t19))))))))) % 0.86/1.10 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t76) (and @t91 @t72))))))) % 0.86/1.10 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.86/1.10 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t74 (= (tptp.hd @t76) @t73))))))) % 0.86/1.10 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t74 (= (tptp.tl @t76) (tptp.app @t75 @t1)))))))) % 0.86/1.10 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t80 (tptp.geq @t1 @t2)) @t3)))))) % 0.86/1.10 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t80 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.86/1.10 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.86/1.10 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.86/1.10 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t79 @t37) @t83)))))))) % 0.86/1.10 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (or @t3 @t82))))))) % 0.86/1.10 (assume @p93 @t98) % 0.86/1.10 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (not (tptp.gt @t1 @t2)))))))) % 0.86/1.10 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t84 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.86/1.10 (assume @p96 @t112) % 0.86/1.10 (assume @p97 true) % 0.86/1.10 (step @p98 :rule bool-impl-elim :args (@t17 @t127)) % 0.86/1.10 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t127)))) % 0.86/1.10 (step @p100 :rule aci_norm :args ((= @t129 @t125))) % 0.86/1.10 (step @p101 :rule cong :premises (@p100) :args (@t130)) % 0.86/1.10 (step @p102 :rule quant-merge-prenex :args ((= (forall @t7 @t132) @t130))) % 0.86/1.10 (step @p103 :rule alpha_equiv :args (@t133 (@list @t114 @t116 @t115 @t113) (@list @t12 @t136 @t135 @t134))) % 0.86/1.10 (step @p104 :rule refl :args (@t124)) % 0.86/1.10 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t137)) % 0.86/1.10 (step @p106 :rule quant-miniscope-or :args ((= @t132 @t137))) % 0.86/1.10 (step @p107 :rule trans :premises (@p106 @p105)) % 0.86/1.10 (step @p108 :rule symm :premises (@p107)) % 0.86/1.10 (step @p109 :rule cong :premises (@p108) :args ((forall @t7 (or @t124 @t145)))) % 0.86/1.10 (step @p110 :rule trans :premises (@p109 @p102)) % 0.86/1.10 (step @p111 :rule trans :premises (@p110 @p101)) % 0.86/1.10 (step @p112 :rule bool-impl-elim :args (@t6 @t145)) % 0.86/1.10 (step @p113 :rule cong :premises (@p112) :args ((forall @t7 (=> @t6 @t145)))) % 0.86/1.10 (step @p114 :rule trans :premises (@p113 @p111)) % 0.86/1.10 (step @p115 :rule aci_norm :args ((= @t147 @t143))) % 0.86/1.10 (step @p116 :rule cong :premises (@p115) :args (@t148)) % 0.86/1.10 (step @p117 :rule quant-merge-prenex :args ((= (forall @t16 @t150) @t148))) % 0.86/1.10 (step @p118 :rule alpha_equiv :args (@t151 (@list @t136 @t135 @t134) @t154)) % 0.86/1.10 (step @p119 :rule refl :args (@t26)) % 0.86/1.10 (step @p120 :rule refl :args (@t142)) % 0.86/1.10 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args (@t155)) % 0.86/1.10 (step @p122 :rule quant-miniscope-or :args ((= @t150 @t155))) % 0.86/1.10 (step @p123 :rule trans :premises (@p122 @p121)) % 0.86/1.10 (step @p124 :rule symm :premises (@p123)) % 0.86/1.10 (step @p125 :rule cong :premises (@p124) :args ((forall @t16 @t162))) % 0.86/1.10 (step @p126 :rule trans :premises (@p125 @p117)) % 0.86/1.10 (step @p127 :rule trans :premises (@p126 @p116)) % 0.86/1.10 (step @p128 :rule aci_norm :args ((= (or @t142 @t163) @t162))) % 0.86/1.10 (step @p129 :rule bool-impl-elim :args (@t36 @t163)) % 0.86/1.10 (step @p130 :rule trans :premises (@p129 @p128)) % 0.86/1.10 (step @p131 :rule cong :premises (@p130) :args ((forall @t16 (=> @t36 @t163)))) % 0.86/1.10 (step @p132 :rule trans :premises (@p131 @p127)) % 0.86/1.10 (step @p133 :rule aci_norm :args ((= @t165 @t159))) % 0.86/1.10 (step @p134 :rule cong :premises (@p133) :args (@t166)) % 0.86/1.10 (step @p135 :rule quant-merge-prenex :args ((= (forall @t14 @t168) @t166))) % 0.86/1.10 (step @p136 :rule alpha_equiv :args (@t169 (@list @t153 @t152) (@list @t28 @t170))) % 0.86/1.10 (step @p137 :rule refl :args (@t103)) % 0.86/1.10 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t171)) % 0.86/1.10 (step @p139 :rule quant-miniscope-or :args ((= @t168 @t171))) % 0.86/1.10 (step @p140 :rule trans :premises (@p139 @p138)) % 0.86/1.10 (step @p141 :rule symm :premises (@p140)) % 0.86/1.10 (step @p142 :rule cong :premises (@p141) :args (@t179)) % 0.86/1.10 (step @p143 :rule trans :premises (@p142 @p135)) % 0.86/1.10 (step @p144 :rule trans :premises (@p143 @p134)) % 0.86/1.10 (step @p145 :rule refl :args (@t26)) % 0.86/1.10 (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t180)) % 0.86/1.10 (step @p147 :rule quant-miniscope-or :args ((= (forall @t14 @t181) @t180))) % 0.86/1.10 (step @p148 :rule aci_norm :args ((= @t182 @t181))) % 0.86/1.10 (step @p149 :rule cong :premises (@p148) :args ((forall @t14 @t182))) % 0.86/1.10 (step @p150 :rule trans :premises (@p149 @p147)) % 0.86/1.10 (step @p151 :rule trans :premises (@p150 @p146)) % 0.86/1.10 (step @p152 :rule aci_norm :args ((= (or @t103 @t183) @t182))) % 0.86/1.10 (step @p153 :rule bool-impl-elim :args (@t13 @t183)) % 0.86/1.10 (step @p154 :rule trans :premises (@p153 @p152)) % 0.86/1.10 (step @p155 :rule cong :premises (@p154) :args ((forall @t14 (=> @t13 @t183)))) % 0.86/1.10 (step @p156 :rule trans :premises (@p155 @p151)) % 0.86/1.10 (step @p157 :rule 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@t200 @t199))) % 0.86/1.10 (step @p172 :rule cong :premises (@p171) :args ((forall @t35 @t200))) % 0.86/1.10 (step @p173 :rule trans :premises (@p172 @p170)) % 0.86/1.10 (step @p174 :rule trans :premises (@p173 @p169)) % 0.86/1.10 (step @p175 :rule aci_norm :args ((= (or @t174 @t201) @t200))) % 0.86/1.10 (step @p176 :rule bool-impl-elim :args (@t34 @t201)) % 0.86/1.10 (step @p177 :rule trans :premises (@p176 @p175)) % 0.86/1.10 (step @p178 :rule cong :premises (@p177) :args ((forall @t35 (=> @t34 @t201)))) % 0.86/1.10 (step @p179 :rule trans :premises (@p178 @p174)) % 0.86/1.10 (step @p180 :rule quant-miniscope-or :args ((= (forall @t33 @t202) @t201))) % 0.86/1.10 (step @p181 :rule aci_norm :args ((= @t203 @t202))) % 0.86/1.10 (step @p182 :rule cong :premises (@p181) :args ((forall @t33 @t203))) % 0.86/1.10 (step @p183 :rule trans :premises (@p182 @p180)) % 0.86/1.10 (step @p184 :rule aci_norm :args ((= (or @t193 (or @t192 @t26)) @t203))) % 0.86/1.10 (step @p185 :rule bool-impl-elim :args (@t191 @t26)) % 0.86/1.10 (step @p186 :rule refl :args (@t193)) % 0.86/1.10 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or @t193 @t204))) % 0.86/1.10 (step @p188 :rule trans :premises (@p187 @p184)) % 0.86/1.10 (step @p189 :rule bool-impl-elim :args (@t32 @t204)) % 0.86/1.10 (step @p190 :rule trans :premises (@p189 @p188)) % 0.86/1.10 (step @p191 :rule cong :premises (@p190) :args ((forall @t33 (=> @t32 @t204)))) % 0.86/1.10 (step @p192 :rule trans :premises (@p191 @p183)) % 0.86/1.10 (step @p193 :rule eq-symm :args (@t30 @t2)) % 0.86/1.10 (step @p194 :rule cong :premises (@p193 @p145) :args (@t38)) % 0.86/1.10 (step @p195 :rule refl :args (@t32)) % 0.86/1.10 (step @p196 :rule cong :premises (@p195 @p194) :args (@t39)) % 0.86/1.10 (step @p197 :rule cong :premises (@p196) :args (@t40)) % 0.86/1.10 (step @p198 :rule trans :premises (@p197 @p192)) % 0.86/1.10 (step @p199 :rule refl :args (@t34)) % 0.86/1.10 (step @p200 :rule cong :premises (@p199 @p198) :args (@t41)) % 0.86/1.10 (step @p201 :rule cong :premises (@p200) :args (@t42)) % 0.86/1.10 (step @p202 :rule trans :premises (@p201 @p179)) % 0.86/1.10 (step @p203 :rule refl :args (@t13)) % 0.86/1.10 (step @p204 :rule cong :premises (@p203 @p202) :args (@t43)) % 0.86/1.10 (step @p205 :rule cong :premises (@p204) :args (@t44)) % 0.86/1.10 (step @p206 :rule trans :premises (@p205 @p156)) % 0.86/1.10 (step @p207 :rule refl :args (@t36)) % 0.86/1.10 (step @p208 :rule cong :premises (@p207 @p206) :args (@t45)) % 0.86/1.10 (step @p209 :rule cong :premises (@p208) :args (@t46)) % 0.86/1.10 (step @p210 :rule trans :premises (@p209 @p132)) % 0.86/1.10 (step @p211 :rule refl :args (@t6)) % 0.86/1.10 (step @p212 :rule cong :premises (@p211 @p210) :args (@t47)) % 0.86/1.10 (step @p213 :rule cong :premises (@p212) :args (@t48)) % 0.86/1.10 (step @p214 :rule trans :premises (@p213 @p114)) % 0.86/1.10 (step @p215 :rule refl :args (@t49)) % 0.86/1.10 (step @p216 :rule cong :premises (@p215 @p214) :args (@t50)) % 0.86/1.10 (step @p217 :rule refl :args (@t17)) % 0.86/1.10 (step @p218 :rule cong :premises (@p217 @p216) :args (@t51)) % 0.86/1.10 (step @p219 :rule cong :premises (@p218) :args (@t52)) % 0.86/1.10 (step @p220 :rule trans :premises (@p219 @p99)) % 0.86/1.10 (step @p221 :rule eq_resolve :premises (@p11 @p220)) % 0.86/1.10 (step @p222 :rule eq-symm :args (@t213 @t117)) % 0.86/1.10 (step @p223 :rule cong :premises (@p222) :args (@t214)) % 0.86/1.10 (step @p224 :rule refl :args (@t119)) % 0.86/1.10 (step @p225 :rule refl :args (@t120)) % 0.86/1.10 (step @p226 :rule refl :args (@t121)) % 0.86/1.10 (step @p227 :rule refl :args (@t122)) % 0.86/1.10 (step @p228 :rule refl :args (@t123)) % 0.86/1.10 (step @p229 :rule refl :args (@t124)) % 0.86/1.10 (step @p230 :rule nary_cong :premises (@p229 @p228 @p227 @p226 @p225 @p224 @p223) :args (@t215)) % 0.86/1.10 (step @p231 :rule cong :premises (@p230) :args (@t216)) % 0.86/1.10 (step @p232 :rule refl :args (@t217)) % 0.86/1.10 (step @p233 :rule cong :premises (@p232 @p231) :args (@t218)) % 0.86/1.10 (step @p234 :rule refl :args (@t220)) % 0.86/1.10 (step @p235 :rule nary_cong :premises (@p234 @p233) :args (@t221)) % 0.86/1.10 (step @p236 :rule refl :args (@t222)) % 0.86/1.10 (step @p237 :rule cong :premises (@p236 @p235) :args ((=> @t222 @t221))) % 0.86/1.10 (assume-push @p598 @t222) % 0.86/1.10 (step @p239 :rule instantiate :premises (@p221) :args (@t223)) % 0.86/1.10 (step-pop @p599 :rule scope :premises (@p239)) % 0.86/1.10 (step @p240 :rule process_scope :premises (@p599) :args (@t221)) % 0.86/1.10 (step @p242 :rule eq_resolve :premises (@p240 @p237)) % 0.86/1.10 (step @p243 :rule implies_elim :premises (@p242)) % 0.86/1.10 (step @p244 :rule chain_m_resolution :premises (@p243 @p221) :args (@t226 @t227 (@list @t222))) % 0.86/1.10 (step @p245 :rule aci_norm :args ((= @t229 @t210))) % 0.86/1.10 (step @p246 :rule cong :premises (@p245) :args (@t230)) % 0.86/1.10 (step @p247 :rule quant-merge-prenex :args ((= (forall @t9 @t232) 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(@t53)) % 0.86/1.10 (step @p503 :rule cong :premises (@p195 @p502) :args (@t54)) % 0.86/1.10 (step @p504 :rule cong :premises (@p503) :args (@t55)) % 0.86/1.10 (step @p505 :rule trans :premises (@p504 @p501)) % 0.86/1.10 (step @p506 :rule cong :premises (@p199 @p505) :args (@t56)) % 0.86/1.10 (step @p507 :rule cong :premises (@p506) :args (@t57)) % 0.86/1.10 (step @p508 :rule trans :premises (@p507 @p489)) % 0.86/1.10 (step @p509 :rule cong :premises (@p203 @p508) :args (@t58)) % 0.86/1.10 (step @p510 :rule cong :premises (@p509) :args (@t59)) % 0.86/1.10 (step @p511 :rule trans :premises (@p510 @p478)) % 0.86/1.10 (step @p512 :rule cong :premises (@p207 @p511) :args (@t60)) % 0.86/1.10 (step @p513 :rule cong :premises (@p512) :args (@t61)) % 0.86/1.10 (step @p514 :rule trans :premises (@p513 @p466)) % 0.86/1.10 (step @p515 :rule cong :premises (@p211 @p514) :args (@t62)) % 0.86/1.10 (step @p516 :rule cong :premises (@p515) :args (@t63)) % 0.86/1.10 (step @p517 :rule trans :premises (@p516 @p449)) % 0.86/1.10 (step @p518 :rule refl :args (@t64)) % 0.86/1.10 (step @p519 :rule cong :premises (@p518 @p517) :args (@t65)) % 0.86/1.10 (step @p520 :rule cong :premises (@p217 @p519) :args (@t66)) % 0.86/1.10 (step @p521 :rule cong :premises (@p520) :args (@t67)) % 0.86/1.10 (step @p522 :rule trans :premises (@p521 @p435)) % 0.86/1.10 (step @p523 :rule eq_resolve :premises (@p12 @p522)) % 0.86/1.10 (step @p524 :rule eq-symm :args (@t213 @t319)) % 0.86/1.10 (step @p525 :rule cong :premises (@p524) :args (@t366)) % 0.86/1.10 (step @p526 :rule refl :args (@t321)) % 0.86/1.10 (step @p527 :rule refl :args (@t322)) % 0.86/1.10 (step @p528 :rule refl :args (@t323)) % 0.86/1.10 (step @p529 :rule refl :args (@t324)) % 0.86/1.10 (step @p530 :rule refl :args (@t325)) % 0.86/1.10 (step @p531 :rule nary_cong :premises (@p229 @p530 @p529 @p528 @p527 @p526 @p525) :args (@t367)) % 0.86/1.10 (step @p532 :rule cong :premises (@p531) :args (@t368)) % 0.86/1.10 (step @p533 :rule refl :args (@t266)) % 0.86/1.10 (step @p534 :rule cong :premises (@p533 @p532) :args (@t369)) % 0.86/1.10 (step @p535 :rule nary_cong :premises (@p234 @p534) :args (@t370)) % 0.86/1.10 (step @p536 :rule refl :args (@t371)) % 0.86/1.10 (step @p537 :rule cong :premises (@p536 @p535) :args ((=> @t371 @t370))) % 0.86/1.10 (assume-push @p602 @t371) % 0.86/1.10 (step @p539 :rule instantiate :premises (@p523) :args (@t223)) % 0.86/1.10 (step-pop @p603 :rule scope :premises (@p539)) % 0.86/1.10 (step @p540 :rule process_scope :premises (@p603) :args (@t370)) % 0.86/1.10 (step @p542 :rule eq_resolve :premises (@p540 @p537)) % 0.86/1.10 (step @p543 :rule implies_elim :premises (@p542)) % 0.86/1.10 (step @p544 :rule chain_m_resolution :premises (@p543 @p523) :args (@t374 @t227 (@list @t371))) % 0.86/1.10 (step @p545 :rule cnf_or_pos :args (@t374)) % 0.86/1.10 (step @p546 :rule reordering :premises (@p545) :args ((or @t220 @t373 (not @t374)))) % 0.86/1.10 (step @p547 :rule chain_m_resolution :premises (@p546 @p358 @p544) :args (@t373 @t271 (@list @t219 @t374))) % 0.86/1.10 (step @p548 :rule bool-double-not-elim :args (@t266)) % 0.86/1.10 (step @p549 :rule nary_cong :premises (@p353 @p548) :args ((or @t268 (not @t267)))) % 0.86/1.10 (step @p550 :rule cnf_or_neg :args (@t268 2)) % 0.86/1.10 (step @p551 :rule eq_resolve :premises (@p550 @p549)) % 0.86/1.10 (step @p552 :rule reordering :premises (@p551) :args ((or @t266 @t268))) % 0.86/1.10 (step @p553 :rule chain_m_resolution :premises (@p552 @p351) :args (@t266 @t269 @t270)) % 0.86/1.10 (step @p554 :rule cnf_equiv_pos1 :args (@t373)) % 0.86/1.10 (step @p555 :rule reordering :premises (@p554) :args ((or @t267 @t372 (not @t373)))) % 0.86/1.10 (step @p556 :rule chain_m_resolution :premises (@p555 @p553 @p547) :args (@t372 @t271 (@list @t266 @t373))) % 0.86/1.10 (step @p557 :rule refl :args (@t312)) % 0.86/1.10 (step @p558 :rule nary_cong :premises (@p377 @p376 @p557 @p374 @p373 @p372 @p371) :args (@t375)) % 0.86/1.10 (step @p559 :rule refl :args (@t372)) % 0.86/1.10 (step @p560 :rule cong :premises (@p559 @p558) :args ((=> @t372 @t375))) % 0.86/1.10 (assume-push @p604 @t372) % 0.86/1.10 (step @p562 :rule instantiate :premises (@p556) :args ((@list @t276 @t274 @t277 @t275 @t273))) % 0.86/1.10 (step-pop @p605 :rule scope :premises (@p562)) % 0.86/1.10 (step @p563 :rule process_scope :premises (@p605) :args (@t375)) % 0.86/1.10 (step @p565 :rule eq_resolve :premises (@p563 @p560)) % 0.86/1.10 (step @p566 :rule implies_elim :premises (@p565)) % 0.86/1.10 (step @p567 :rule chain_m_resolution :premises (@p566 @p556) :args (@t376 @t227 (@list @t372))) % 0.86/1.10 (step @p568 :rule bool-double-not-elim :args (@t279)) % 0.86/1.10 (step @p569 :rule nary_cong :premises (@p419 @p568) :args ((or @t292 (not @t280)))) % 0.86/1.10 (step @p570 :rule cnf_or_neg :args (@t292 6)) % 0.86/1.10 (step @p571 :rule eq_resolve :premises (@p570 @p569)) % 0.86/1.10 (step @p572 :rule reordering :premises (@p571) :args ((or @t279 @t292))) % 0.86/1.10 (step @p573 :rule chain_m_resolution :premises (@p572 @p389) :args (@t279 @t269 @t297)) % 0.86/1.10 (step @p574 :rule bool-double-not-elim :args (@t281)) % 0.86/1.10 (step @p575 :rule nary_cong :premises (@p419 @p574) :args ((or @t292 (not @t282)))) % 0.86/1.10 (step @p576 :rule cnf_or_neg :args (@t292 5)) % 0.86/1.10 (step @p577 :rule eq_resolve :premises (@p576 @p575)) % 0.86/1.10 (step @p578 :rule reordering :premises (@p577) :args ((or @t281 @t292))) % 0.86/1.10 (step @p579 :rule chain_m_resolution :premises (@p578 @p389) :args (@t281 @t269 @t297)) % 0.86/1.10 (step @p580 :rule bool-double-not-elim :args (@t283)) % 0.86/1.10 (step @p581 :rule nary_cong :premises (@p419 @p580) :args ((or @t292 (not @t284)))) % 0.86/1.10 (step @p582 :rule cnf_or_neg :args (@t292 4)) % 0.86/1.10 (step @p583 :rule eq_resolve :premises (@p582 @p581)) % 0.86/1.10 (step @p584 :rule reordering :premises (@p583) :args ((or @t283 @t292))) % 0.86/1.10 (step @p585 :rule chain_m_resolution :premises (@p584 @p389) :args (@t283 @t269 @t297)) % 0.86/1.10 (step @p586 :rule bool-double-not-elim :args (@t285)) % 0.86/1.10 (step @p587 :rule nary_cong :premises (@p419 @p586) :args ((or @t292 (not @t286)))) % 0.86/1.10 (step @p588 :rule cnf_or_neg :args (@t292 3)) % 0.86/1.10 (step @p589 :rule eq_resolve :premises (@p588 @p587)) % 0.86/1.10 (step @p590 :rule reordering :premises (@p589) :args ((or @t285 @t292))) % 0.86/1.10 (step @p591 :rule chain_m_resolution :premises (@p590 @p389) :args (@t285 @t269 @t297)) % 0.86/1.10 (step @p592 :rule cnf_or_pos :args (@t376)) % 0.86/1.10 (step @p593 :rule reordering :premises (@p592) :args ((or @t291 @t289 @t286 @t284 @t282 @t280 @t312 (not @t376)))) % 0.86/1.10 (step @p594 :rule chain_m_resolution :premises (@p593 @p430 @p424 @p591 @p585 @p579 @p573 @p567) :args (@t312 (@list false false false false false false false) (@list @t290 @t288 @t285 @t283 @t281 @t279 @t376))) % 0.86/1.10 (step @p595 :rule cnf_equiv_pos1 :args (@t313)) % 0.86/1.10 (step @p596 :rule reordering :premises (@p595) :args ((or @t298 (not @t312) (not @t313)))) % 0.86/1.10 (step @p597 false :rule chain_m_resolution :premises (@p596 @p594 @p433 @p394) :args (false (@list false false true) (@list @t312 @t313 @t298))) % 0.86/1.10 ) % 0.86/1.10 % SZS output end Proof % 0.86/1.10 % cvc5 exiting %------------------------------------------------------------------------------