%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC364+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 : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:01 AM UTC 2026 % Result : Theorem 0.84s 1.08s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC364+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.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 19:43:11 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.84/1.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.84/1.08 % SZS status Theorem % 0.84/1.08 % SZS output start Proof % 0.84/1.08 ( % 0.84/1.08 (declare-sort $$unsorted 0) % 0.84/1.08 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.84/1.08 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.84/1.08 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.08 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.08 (declare-const tptp.nil $$unsorted) % 0.84/1.08 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.84/1.08 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.84/1.08 (define @t1 () (@var "V" $$unsorted)) % 0.84/1.08 (define @t2 () (@var "U" $$unsorted)) % 0.84/1.08 (define @t3 () (= @t2 @t1)) % 0.84/1.08 (define @t4 () (not @t3)) % 0.84/1.08 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.84/1.08 (define @t6 () (tptp.ssItem @t1)) % 0.84/1.08 (define @t7 () (@list @t1)) % 0.84/1.08 (define @t8 () (tptp.ssItem @t2)) % 0.84/1.08 (define @t9 () (@list @t2)) % 0.84/1.08 (define @t10 () (@var "X" $$unsorted)) % 0.84/1.08 (define @t11 () (tptp.cons @t1 @t10)) % 0.84/1.08 (define @t12 () (@var "W" $$unsorted)) % 0.84/1.08 (define @t13 () (tptp.ssList @t10)) % 0.84/1.08 (define @t14 () (@list @t10)) % 0.84/1.08 (define @t15 () (tptp.ssList @t12)) % 0.84/1.08 (define @t16 () (@list @t12)) % 0.84/1.08 (define @t17 () (tptp.ssList @t2)) % 0.84/1.08 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.84/1.08 (define @t19 () (tptp.app @t1 @t12)) % 0.84/1.08 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.84/1.08 (define @t21 () (tptp.ssList @t1)) % 0.84/1.08 (define @t22 () (tptp.app @t12 @t1)) % 0.84/1.08 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.84/1.08 (define @t24 () (tptp.app @t22 @t10)) % 0.84/1.08 (define @t25 () (and @t13 (= @t24 @t2))) % 0.84/1.08 (define @t26 () (exists @t14 @t25)) % 0.84/1.08 (define @t27 () (and @t15 @t26)) % 0.84/1.08 (define @t28 () (exists @t16 @t27)) % 0.84/1.08 (define @t29 () (tptp.segmentP @t2 @t1)) % 0.84/1.08 (define @t30 () (= @t29 @t28)) % 0.84/1.08 (define @t31 () (=> @t21 @t30)) % 0.84/1.08 (define @t32 () (forall @t7 @t31)) % 0.84/1.08 (define @t33 () (=> @t17 @t32)) % 0.84/1.08 (define @t34 () (forall @t9 @t33)) % 0.84/1.08 (define @t35 () (tptp.leq @t12 @t1)) % 0.84/1.08 (define @t36 () (tptp.leq @t1 @t12)) % 0.84/1.08 (define @t37 () (@var "Z" $$unsorted)) % 0.84/1.08 (define @t38 () (@var "Y" $$unsorted)) % 0.84/1.08 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 0.84/1.08 (define @t40 () (tptp.ssList @t37)) % 0.84/1.08 (define @t41 () (@list @t37)) % 0.84/1.08 (define @t42 () (tptp.ssList @t38)) % 0.84/1.08 (define @t43 () (@list @t38)) % 0.84/1.08 (define @t44 () (tptp.ssItem @t12)) % 0.84/1.08 (define @t45 () (tptp.lt @t1 @t12)) % 0.84/1.08 (define @t46 () (= @t1 @t12)) % 0.84/1.08 (define @t47 () (tptp.cons @t1 @t2)) % 0.84/1.08 (define @t48 () (tptp.ssList @t47)) % 0.84/1.08 (define @t49 () (forall @t7 (=> @t6 @t48))) % 0.84/1.08 (define @t50 () (=> @t17 @t49)) % 0.84/1.08 (define @t51 () (forall @t9 @t50)) % 0.84/1.08 (define @t52 () (tptp.ssList tptp.nil)) % 0.84/1.08 (define @t53 () (= @t1 @t2)) % 0.84/1.08 (define @t54 () (tptp.cons @t12 @t1)) % 0.84/1.08 (define @t55 () (= tptp.nil @t2)) % 0.84/1.08 (define @t56 () (tptp.hd @t2)) % 0.84/1.08 (define @t57 () (not @t55)) % 0.84/1.08 (define @t58 () (tptp.tl @t2)) % 0.84/1.08 (define @t59 () (tptp.app @t2 @t1)) % 0.84/1.08 (define @t60 () (tptp.app @t1 @t2)) % 0.84/1.08 (define @t61 () (tptp.leq @t1 @t2)) % 0.84/1.08 (define @t62 () (tptp.leq @t2 @t1)) % 0.84/1.08 (define @t63 () (tptp.geq @t2 @t1)) % 0.84/1.08 (define @t64 () (tptp.lt @t1 @t2)) % 0.84/1.08 (define @t65 () (tptp.lt @t2 @t1)) % 0.84/1.08 (define @t66 () (tptp.lt @t2 @t12)) % 0.84/1.08 (define @t67 () (tptp.gt @t2 @t1)) % 0.84/1.08 (define @t68 () (tptp.memberP @t12 @t2)) % 0.84/1.08 (define @t69 () (tptp.app @t12 @t2)) % 0.84/1.08 (define @t70 () (tptp.segmentP @t1 @t2)) % 0.84/1.08 (define @t71 () (tptp.cons @t2 tptp.nil)) % 0.84/1.08 (define @t72 () (tptp.hd @t1)) % 0.84/1.08 (define @t73 () (= tptp.nil @t1)) % 0.84/1.08 (define @t74 () (not @t73)) % 0.84/1.08 (define @t75 () (tptp.cons @t2 @t1)) % 0.84/1.08 (define @t76 () (= @t12 @t2)) % 0.84/1.08 (define @t77 () (tptp.app @t2 tptp.nil)) % 0.84/1.08 (define @t78 () (=> @t17 (= @t77 @t2))) % 0.84/1.08 (define @t79 () (forall @t9 @t78)) % 0.84/1.08 (define @t80 () (tptp.neq @t1 tptp.nil)) % 0.84/1.08 (define @t81 () (not @t80)) % 0.84/1.08 (define @t82 () (or @t81 (tptp.neq @t10 tptp.nil))) % 0.84/1.08 (define @t83 () (tptp.app (tptp.cons @t38 tptp.nil) @t12)) % 0.84/1.08 (define @t84 () (not (= @t83 @t10))) % 0.84/1.08 (define @t85 () (tptp.ssItem @t38)) % 0.84/1.08 (define @t86 () (=> @t85 @t84)) % 0.84/1.08 (define @t87 () (forall @t43 @t86)) % 0.84/1.08 (define @t88 () (or @t81 @t87 @t70)) % 0.84/1.08 (define @t89 () (and @t88 @t82)) % 0.84/1.08 (define @t90 () (not (= @t2 @t12))) % 0.84/1.08 (define @t91 () (not (= @t1 @t10))) % 0.84/1.08 (define @t92 () (or @t91 @t90 @t89)) % 0.84/1.08 (define @t93 () (=> @t13 @t92)) % 0.84/1.08 (define @t94 () (forall @t14 @t93)) % 0.84/1.08 (define @t95 () (=> @t15 @t94)) % 0.84/1.08 (define @t96 () (forall @t16 @t95)) % 0.84/1.08 (define @t97 () (=> @t21 @t96)) % 0.84/1.08 (define @t98 () (forall @t7 @t97)) % 0.84/1.08 (define @t99 () (=> @t17 @t98)) % 0.84/1.08 (define @t100 () (forall @t9 @t99)) % 0.84/1.08 (define @t101 () (not @t100)) % 0.84/1.08 (define @t102 () (@var "BOUND_VARIABLE_8382" $$unsorted)) % 0.84/1.08 (define @t103 () (@var "BOUND_VARIABLE_8405" $$unsorted)) % 0.84/1.08 (define @t104 () (not (tptp.ssList @t102))) % 0.84/1.08 (define @t105 () (not @t15)) % 0.84/1.08 (define @t106 () (@list @t12 @t102)) % 0.84/1.08 (define @t107 () (= (tptp.segmentP @t2 @t103) (not (forall @t106 (or @t105 @t104 (not (= @t2 (tptp.app (tptp.app @t12 @t103) @t102)))))))) % 0.84/1.08 (define @t108 () (not (tptp.ssList @t103))) % 0.84/1.08 (define @t109 () (not @t17)) % 0.84/1.08 (define @t110 () (or @t108 @t107)) % 0.84/1.08 (define @t111 () (or @t109 @t110)) % 0.84/1.08 (define @t112 () (forall (@list @t2 @t103) @t111)) % 0.84/1.08 (define @t113 () (@list @t103)) % 0.84/1.08 (define @t114 () (forall @t113 @t111)) % 0.84/1.08 (define @t115 () (forall @t113 @t110)) % 0.84/1.08 (define @t116 () (@list @t1)) % 0.84/1.08 (define @t117 () (or @t109 @t115)) % 0.84/1.08 (define @t118 () (not (= @t2 (tptp.app @t22 @t102)))) % 0.84/1.08 (define @t119 () (or @t105 @t104 @t118)) % 0.84/1.08 (define @t120 () (= @t29 (not (forall @t106 @t119)))) % 0.84/1.08 (define @t121 () (not @t21)) % 0.84/1.08 (define @t122 () (forall @t7 (or @t121 @t120))) % 0.84/1.08 (define @t123 () (or @t104 @t118)) % 0.84/1.08 (define @t124 () (or @t105 @t123)) % 0.84/1.08 (define @t125 () (forall @t106 @t124)) % 0.84/1.08 (define @t126 () (@list @t102)) % 0.84/1.08 (define @t127 () (forall @t126 @t124)) % 0.84/1.08 (define @t128 () (forall @t126 @t123)) % 0.84/1.08 (define @t129 () (or @t105 @t128)) % 0.84/1.08 (define @t130 () (= @t2 @t24)) % 0.84/1.08 (define @t131 () (not @t13)) % 0.84/1.08 (define @t132 () (forall @t14 (or @t131 (not @t130)))) % 0.84/1.08 (define @t133 () (not @t132)) % 0.84/1.08 (define @t134 () (and @t15 @t133)) % 0.84/1.08 (define @t135 () (forall @t16 (not @t134))) % 0.84/1.08 (define @t136 () (not @t135)) % 0.84/1.08 (define @t137 () (and @t13 @t130)) % 0.84/1.08 (define @t138 () (forall @t14 (not @t137))) % 0.84/1.08 (define @t139 () (not @t138)) % 0.84/1.08 (define @t140 () (@var "BOUND_VARIABLE_11054" $$unsorted)) % 0.84/1.08 (define @t141 () (not (tptp.ssItem @t140))) % 0.84/1.08 (define @t142 () (tptp.app (tptp.cons @t140 tptp.nil) @t2)) % 0.84/1.08 (define @t143 () (tptp.segmentP @t142 @t2)) % 0.84/1.08 (define @t144 () (not (tptp.neq @t142 tptp.nil))) % 0.84/1.08 (define @t145 () (not (tptp.ssList @t142))) % 0.84/1.08 (define @t146 () (or @t109 @t145 @t144 @t143 @t141)) % 0.84/1.08 (define @t147 () (@list @t2 @t140)) % 0.84/1.08 (define @t148 () (forall @t147 @t146)) % 0.84/1.08 (define @t149 () (@quantifiers_skolemize @t148 0)) % 0.84/1.08 (define @t150 () (@quantifiers_skolemize @t148 1)) % 0.84/1.08 (define @t151 () (tptp.cons @t150 tptp.nil)) % 0.84/1.08 (define @t152 () (tptp.app @t151 @t149)) % 0.84/1.08 (define @t153 () (or @t145 @t144 @t143 @t141)) % 0.84/1.08 (define @t154 () (or @t109 @t153)) % 0.84/1.08 (define @t155 () (forall @t147 @t154)) % 0.84/1.08 (define @t156 () (@list @t140)) % 0.84/1.08 (define @t157 () (forall @t156 @t154)) % 0.84/1.08 (define @t158 () (forall @t156 @t153)) % 0.84/1.08 (define @t159 () (@var "BOUND_VARIABLE_11023" $$unsorted)) % 0.84/1.08 (define @t160 () (@list @t159)) % 0.84/1.08 (define @t161 () (or @t109 @t158)) % 0.84/1.08 (define @t162 () (not (tptp.ssItem @t159))) % 0.84/1.08 (define @t163 () (tptp.app (tptp.cons @t159 tptp.nil) @t2)) % 0.84/1.08 (define @t164 () (tptp.segmentP @t163 @t2)) % 0.84/1.08 (define @t165 () (not (tptp.neq @t163 tptp.nil))) % 0.84/1.08 (define @t166 () (not (tptp.ssList @t163))) % 0.84/1.08 (define @t167 () (or @t166 @t165 @t164 @t162)) % 0.84/1.08 (define @t168 () (@list @t159)) % 0.84/1.08 (define @t169 () (or @t109 (forall @t168 @t167))) % 0.84/1.08 (define @t170 () (not (= @t163 @t163))) % 0.84/1.08 (define @t171 () (or @t166 @t165 @t164 @t162 @t170)) % 0.84/1.08 (define @t172 () (not (= @t1 @t163))) % 0.84/1.08 (define @t173 () (or @t172 @t121 @t81 @t70 @t162 @t172)) % 0.84/1.08 (define @t174 () (or @t121 @t81 @t70 @t162 @t172)) % 0.84/1.08 (define @t175 () (forall @t7 @t174)) % 0.84/1.08 (define @t176 () (forall @t168 @t175)) % 0.84/1.08 (define @t177 () (forall (@list @t159 @t1) @t174)) % 0.84/1.08 (define @t178 () (@list @t1 @t159)) % 0.84/1.08 (define @t179 () (or @t162 @t172)) % 0.84/1.08 (define @t180 () (or @t121 @t81 @t70 @t179)) % 0.84/1.08 (define @t181 () (forall @t178 @t180)) % 0.84/1.08 (define @t182 () (forall @t168 @t180)) % 0.84/1.08 (define @t183 () (forall @t168 @t179)) % 0.84/1.08 (define @t184 () (@var "BOUND_VARIABLE_10987" $$unsorted)) % 0.84/1.08 (define @t185 () (@list @t184)) % 0.84/1.08 (define @t186 () (or @t121 @t81 @t70 @t183)) % 0.84/1.08 (define @t187 () (tptp.cons @t184 tptp.nil)) % 0.84/1.08 (define @t188 () (not (= @t1 (tptp.app @t187 @t2)))) % 0.84/1.08 (define @t189 () (not (tptp.ssItem @t184))) % 0.84/1.08 (define @t190 () (or @t189 @t188)) % 0.84/1.08 (define @t191 () (@list @t184)) % 0.84/1.08 (define @t192 () (forall @t191 @t190)) % 0.84/1.08 (define @t193 () (or @t121 @t81 @t70 @t192)) % 0.84/1.08 (define @t194 () (forall @t7 @t193)) % 0.84/1.08 (define @t195 () (or @t109 @t194)) % 0.84/1.08 (define @t196 () (or @t109 @t193)) % 0.84/1.08 (define @t197 () (or @t121 @t81 @t70 @t109 @t192)) % 0.84/1.08 (define @t198 () (or @t109 @t192)) % 0.84/1.08 (define @t199 () (or @t109 @t190)) % 0.84/1.08 (define @t200 () (or @t109 @t189 @t188)) % 0.84/1.08 (define @t201 () (not (= @t2 @t2))) % 0.84/1.08 (define @t202 () (or @t109 @t201 @t189 @t188)) % 0.84/1.08 (define @t203 () (not (= @t1 (tptp.app @t187 @t12)))) % 0.84/1.08 (define @t204 () (or @t90 @t105 @t90 @t189 @t203)) % 0.84/1.08 (define @t205 () (or @t105 @t90 @t189 @t203)) % 0.84/1.08 (define @t206 () (forall @t16 @t205)) % 0.84/1.08 (define @t207 () (forall @t191 @t206)) % 0.84/1.08 (define @t208 () (forall (@list @t184 @t12) @t205)) % 0.84/1.08 (define @t209 () (@list @t12 @t184)) % 0.84/1.08 (define @t210 () (or @t189 @t203)) % 0.84/1.08 (define @t211 () (or @t105 @t90 @t210)) % 0.84/1.08 (define @t212 () (forall @t209 @t211)) % 0.84/1.08 (define @t213 () (forall @t191 @t211)) % 0.84/1.08 (define @t214 () (forall @t191 @t210)) % 0.84/1.08 (define @t215 () (@var "BOUND_VARIABLE_10940" $$unsorted)) % 0.84/1.08 (define @t216 () (@list @t215)) % 0.84/1.08 (define @t217 () (or @t105 @t90 @t214)) % 0.84/1.08 (define @t218 () (tptp.app (tptp.cons @t215 tptp.nil) @t12)) % 0.84/1.08 (define @t219 () (not (= @t1 @t218))) % 0.84/1.08 (define @t220 () (not (tptp.ssItem @t215))) % 0.84/1.08 (define @t221 () (or @t220 @t219)) % 0.84/1.08 (define @t222 () (@list @t215)) % 0.84/1.08 (define @t223 () (forall @t222 @t221)) % 0.84/1.08 (define @t224 () (or @t105 @t90 @t223)) % 0.84/1.08 (define @t225 () (forall @t16 @t224)) % 0.84/1.08 (define @t226 () (or @t121 @t81 @t70 @t225)) % 0.84/1.08 (define @t227 () (or @t121 @t81 @t70 @t224)) % 0.84/1.08 (define @t228 () (or @t105 @t90 @t121 @t81 @t70 @t223)) % 0.84/1.08 (define @t229 () (or @t90 @t121 @t81 @t70 @t223)) % 0.84/1.08 (define @t230 () (or @t121 @t81 @t70 @t223)) % 0.84/1.08 (define @t231 () (or @t121 @t81 @t70 @t221)) % 0.84/1.08 (define @t232 () (or @t121 @t81 @t70 @t220 @t219)) % 0.84/1.08 (define @t233 () (or @t81 @t70 @t220 @t219)) % 0.84/1.08 (define @t234 () (and @t233 true)) % 0.84/1.08 (define @t235 () (or @t121 @t234)) % 0.84/1.08 (define @t236 () (and @t233 (or @t81 @t80))) % 0.84/1.08 (define @t237 () (or @t121 @t236)) % 0.84/1.08 (define @t238 () (not (= @t1 @t1))) % 0.84/1.08 (define @t239 () (or @t121 @t238 @t236)) % 0.84/1.08 (define @t240 () (not (= @t10 @t218))) % 0.84/1.08 (define @t241 () (or @t81 @t70 @t220 @t240)) % 0.84/1.08 (define @t242 () (and @t241 @t82)) % 0.84/1.08 (define @t243 () (or @t91 @t131 @t91 @t242)) % 0.84/1.08 (define @t244 () (or @t131 @t91 @t242)) % 0.84/1.08 (define @t245 () (forall @t14 @t244)) % 0.84/1.08 (define @t246 () (forall @t222 @t245)) % 0.84/1.08 (define @t247 () (forall (@list @t215 @t10) @t244)) % 0.84/1.08 (define @t248 () (@list @t10 @t215)) % 0.84/1.08 (define @t249 () (or @t220 @t240)) % 0.84/1.08 (define @t250 () (or @t81 @t249 @t70)) % 0.84/1.08 (define @t251 () (and @t250 @t82)) % 0.84/1.08 (define @t252 () (or @t131 @t91 @t251)) % 0.84/1.08 (define @t253 () (forall @t248 @t252)) % 0.84/1.08 (define @t254 () (forall @t222 @t252)) % 0.84/1.08 (define @t255 () (forall @t222 @t82)) % 0.84/1.08 (define @t256 () (forall @t222 @t249)) % 0.84/1.08 (define @t257 () (or @t81 @t256 @t70)) % 0.84/1.08 (define @t258 () (forall @t222 @t250)) % 0.84/1.08 (define @t259 () (and @t258 @t255)) % 0.84/1.08 (define @t260 () (forall @t222 @t251)) % 0.84/1.08 (define @t261 () (or @t131 @t91 @t260)) % 0.84/1.08 (define @t262 () (not (= @t10 @t83))) % 0.84/1.08 (define @t263 () (and (or @t81 (forall @t43 (or (not @t85) @t262)) @t70) @t82)) % 0.84/1.08 (define @t264 () (or @t131 @t91 @t263)) % 0.84/1.08 (define @t265 () (forall @t14 @t264)) % 0.84/1.08 (define @t266 () (or @t90 @t265)) % 0.84/1.08 (define @t267 () (or @t90 @t264)) % 0.84/1.08 (define @t268 () (or @t131 @t91 @t90 @t263)) % 0.84/1.08 (define @t269 () (or @t91 @t90 @t263)) % 0.84/1.08 (define @t270 () (tptp.ssList @t152)) % 0.84/1.08 (define @t271 () (tptp.ssItem @t150)) % 0.84/1.08 (define @t272 () (not @t271)) % 0.84/1.08 (define @t273 () (tptp.segmentP @t152 @t149)) % 0.84/1.08 (define @t274 () (not @t270)) % 0.84/1.08 (define @t275 () (tptp.ssList @t149)) % 0.84/1.08 (define @t276 () (not @t275)) % 0.84/1.08 (define @t277 () (or @t276 @t274 (not (tptp.neq @t152 tptp.nil)) @t273 @t272)) % 0.84/1.08 (define @t278 () (@list true)) % 0.84/1.08 (define @t279 () (@list @t277)) % 0.84/1.08 (define @t280 () (forall @t106 (or @t105 @t104 (not (= @t152 (tptp.app (tptp.app @t12 @t149) @t102)))))) % 0.84/1.08 (define @t281 () (not @t280)) % 0.84/1.08 (define @t282 () (= @t273 @t281)) % 0.84/1.08 (define @t283 () (or @t274 @t276 @t282)) % 0.84/1.08 (define @t284 () (@list false false false)) % 0.84/1.08 (define @t285 () (not @t282)) % 0.84/1.08 (define @t286 () (@list true false)) % 0.84/1.08 (define @t287 () (= @t2 @t77)) % 0.84/1.08 (define @t288 () (= @t152 (tptp.app @t152 tptp.nil))) % 0.84/1.08 (define @t289 () (or @t274 @t288)) % 0.84/1.08 (define @t290 () (@var "BOUND_VARIABLE_9121" $$unsorted)) % 0.84/1.08 (define @t291 () (tptp.ssList (tptp.cons @t290 @t2))) % 0.84/1.08 (define @t292 () (not (tptp.ssItem @t290))) % 0.84/1.08 (define @t293 () (or @t292 @t291)) % 0.84/1.08 (define @t294 () (or @t109 @t293)) % 0.84/1.08 (define @t295 () (forall (@list @t2 @t290) @t294)) % 0.84/1.08 (define @t296 () (@list @t290)) % 0.84/1.08 (define @t297 () (forall @t296 @t294)) % 0.84/1.08 (define @t298 () (forall @t296 @t293)) % 0.84/1.08 (define @t299 () (or @t109 @t298)) % 0.84/1.08 (define @t300 () (forall @t7 (or (not @t6) @t48))) % 0.84/1.08 (define @t301 () (tptp.ssList @t151)) % 0.84/1.08 (define @t302 () (not @t52)) % 0.84/1.08 (define @t303 () (or @t302 @t272 @t301)) % 0.84/1.08 (define @t304 () (not @t288)) % 0.84/1.08 (define @t305 () (not @t301)) % 0.84/1.08 (define @t306 () (or @t305 @t302 @t304)) % 0.84/1.08 (define @t307 () (not @t306)) % 0.84/1.08 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.84/1.08 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.84/1.08 (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))))))))))) % 0.84/1.08 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.84/1.08 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.84/1.08 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.84/1.08 (assume @p7 @t34) % 0.84/1.08 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not (and @t36 @t35))))))))))))))))) % 0.84/1.08 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t36 @t35)))))))))))))))) % 0.84/1.08 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t45 (tptp.lt @t12 @t1))))))))))))))))) % 0.84/1.08 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t36))))))))))))))) % 0.84/1.08 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t45))))))))))))))) % 0.84/1.08 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not @t46)))))))))))))))) % 0.84/1.08 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t38))) @t2) @t46))))))))))))) % 0.84/1.08 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.84/1.08 (assume @p16 @t51) % 0.84/1.08 (assume @p17 @t52) % 0.84/1.08 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 0.84/1.08 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t53))))))))))) % 0.84/1.08 (assume @p20 (forall @t9 (=> @t17 (or @t55 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t54 @t2))))))))) % 0.84/1.08 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 0.84/1.08 (assume @p22 (forall @t9 (=> @t17 (=> @t57 (tptp.ssItem @t56))))) % 0.84/1.08 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 0.84/1.08 (assume @p24 (forall @t9 (=> @t17 (=> @t57 (tptp.ssList @t58))))) % 0.84/1.08 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 0.84/1.08 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t59)))))) % 0.84/1.08 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t60) (tptp.app @t54 @t2))))))))) % 0.84/1.08 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.84/1.08 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 @t61) @t3)))))) % 0.84/1.08 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t36) (tptp.leq @t2 @t12))))))))) % 0.84/1.08 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.84/1.08 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 @t61)))))) % 0.84/1.08 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (not @t64))))))) % 0.84/1.08 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t45) @t66)))))))) % 0.84/1.08 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 @t64)))))) % 0.84/1.08 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t68))))))))) % 0.84/1.08 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t68))))))))) % 0.84/1.08 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.84/1.08 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.84/1.08 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.84/1.08 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.84/1.08 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.84/1.08 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.84/1.08 (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)))))))))))) % 0.84/1.08 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.84/1.08 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t55)))) % 0.84/1.08 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.84/1.08 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.84/1.08 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.84/1.08 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t69 @t1))))))))) % 0.84/1.08 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.84/1.08 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t55)))) % 0.84/1.08 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.84/1.08 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t70) @t3)))))) % 0.84/1.08 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.84/1.08 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t69 @t10) @t1))))))))))) % 0.84/1.08 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.84/1.08 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t55)))) % 0.84/1.08 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t71)))) % 0.84/1.08 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.84/1.08 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t71)))) % 0.84/1.08 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.84/1.08 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t71)))) % 0.84/1.08 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.84/1.08 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t71)))) % 0.84/1.08 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.84/1.08 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t75) (or @t73 (and @t74 (tptp.totalorderedP @t1) (tptp.leq @t2 @t72))))))))) % 0.84/1.08 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t71)))) % 0.84/1.08 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.84/1.08 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t75) (or @t73 (and @t74 (tptp.strictorderedP @t1) (tptp.lt @t2 @t72))))))))) % 0.84/1.08 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t71)))) % 0.84/1.08 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.84/1.08 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t71)))) % 0.84/1.08 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.84/1.08 (assume @p75 (forall @t9 (=> @t17 (=> @t57 (exists @t7 (and @t6 (= @t56 @t1))))))) % 0.84/1.08 (assume @p76 (forall @t9 (=> @t17 (=> @t57 (exists @t7 (and @t21 (= @t58 @t1))))))) % 0.84/1.08 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t74 @t57 (= @t72 @t56) (= (tptp.tl @t1) @t58)) @t53)))))) % 0.84/1.08 (assume @p78 (forall @t9 (=> @t17 (=> @t57 (= (tptp.cons @t56 @t58) @t2))))) % 0.84/1.08 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t59) @t76)))))))) % 0.84/1.08 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t60) @t76)))))))) % 0.84/1.08 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 0.84/1.08 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t59 @t12) (tptp.app @t2 @t19))))))))) % 0.84/1.08 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t59) (and @t73 @t55))))))) % 0.84/1.08 (assume @p84 @t79) % 0.84/1.08 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t57 (= (tptp.hd @t59) @t56))))))) % 0.84/1.08 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t57 (= (tptp.tl @t59) (tptp.app @t58 @t1)))))))) % 0.84/1.08 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t63 (tptp.geq @t1 @t2)) @t3)))))) % 0.84/1.08 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t63 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.84/1.08 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.84/1.08 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.84/1.08 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t45) @t66)))))))) % 0.84/1.08 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (or @t3 @t65))))))) % 0.84/1.08 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 (and @t4 @t62))))))) % 0.84/1.08 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (not (tptp.gt @t1 @t2)))))))) % 0.84/1.08 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t67 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.84/1.08 (assume @p96 @t101) % 0.84/1.08 (assume @p97 true) % 0.84/1.08 (step @p98 :rule aci_norm :args ((= @t111 (or @t109 @t108 @t107)))) % 0.84/1.08 (step @p99 :rule cong :premises (@p98) :args (@t112)) % 0.84/1.08 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t114) @t112))) % 0.84/1.08 (step @p101 :rule alpha_equiv :args (@t115 (@list @t103) @t116)) % 0.84/1.08 (step @p102 :rule refl :args (@t109)) % 0.84/1.08 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t117)) % 0.84/1.08 (step @p104 :rule quant-miniscope-or :args ((= @t114 @t117))) % 0.84/1.08 (step @p105 :rule trans :premises (@p104 @p103)) % 0.84/1.08 (step @p106 :rule symm :premises (@p105)) % 0.84/1.08 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t109 @t122)))) % 0.84/1.08 (step @p108 :rule trans :premises (@p107 @p100)) % 0.84/1.08 (step @p109 :rule trans :premises (@p108 @p99)) % 0.84/1.08 (step @p110 :rule bool-impl-elim :args (@t17 @t122)) % 0.84/1.08 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t17 @t122)))) % 0.84/1.08 (step @p112 :rule trans :premises (@p111 @p109)) % 0.84/1.08 (step @p113 :rule bool-impl-elim :args (@t21 @t120)) % 0.84/1.08 (step @p114 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(@t243)) % 0.84/1.09 (step @p319 :rule aci_norm :args ((= @t244 @t243))) % 0.84/1.09 (step @p320 :rule trans :premises (@p319 @p318)) % 0.84/1.09 (step @p321 :rule cong :premises (@p320) :args (@t245)) % 0.84/1.09 (step @p322 :rule trans :premises (@p321 @p312)) % 0.84/1.09 (step @p323 :rule cong :premises (@p322) :args (@t246)) % 0.84/1.09 (step @p324 :rule quant-merge-prenex :args ((= @t246 @t247))) % 0.84/1.09 (step @p325 :rule symm :premises (@p324)) % 0.84/1.09 (step @p326 :rule quant_var_reordering :args ((= (forall @t248 @t244) @t247))) % 0.84/1.09 (step @p327 :rule trans :premises (@p326 @p325 @p323)) % 0.84/1.09 (step @p328 :rule trans :premises (@p327 @p311)) % 0.84/1.09 (step @p329 :rule refl :args (@t82)) % 0.84/1.09 (step @p330 :rule aci_norm :args ((= @t250 @t241))) % 0.84/1.09 (step @p331 :rule nary_cong :premises (@p330 @p329) :args (@t251)) % 0.84/1.09 (step @p332 :rule refl :args (@t91)) % 0.84/1.09 (step @p333 :rule refl :args (@t131)) % 0.84/1.09 (step @p334 :rule nary_cong :premises (@p333 @p332 @p331) :args (@t252)) % 0.84/1.09 (step @p335 :rule cong :premises (@p334) :args (@t253)) % 0.84/1.09 (step @p336 :rule trans :premises (@p335 @p328)) % 0.84/1.09 (step @p337 :rule quant-merge-prenex :args ((= (forall @t14 @t254) @t253))) % 0.84/1.09 (step @p338 :rule quant-unused-vars :args ((= @t255 @t82))) % 0.84/1.09 (step @p339 :rule alpha_equiv :args (@t256 @t216 (@list @t38))) % 0.84/1.09 (step @p340 :rule nary_cong :premises (@p206 @p339 @p205) :args (@t257)) % 0.84/1.09 (step @p341 :rule quant-miniscope-or :args ((= @t258 @t257))) % 0.84/1.09 (step @p342 :rule trans :premises (@p341 @p340)) % 0.84/1.09 (step @p343 :rule nary_cong :premises (@p342 @p338) :args (@t259)) % 0.84/1.09 (step @p344 :rule quant-miniscope-and :args ((= @t260 @t259))) % 0.84/1.09 (step @p345 :rule trans :premises (@p344 @p343)) % 0.84/1.09 (step @p346 :rule nary_cong :premises (@p315 @p314 @p345) :args (@t261)) % 0.84/1.09 (step @p347 :rule quant-miniscope-or :args ((= @t254 @t261))) % 0.84/1.09 (step @p348 :rule trans :premises (@p347 @p346)) % 0.84/1.09 (step @p349 :rule symm :premises (@p348)) % 0.84/1.09 (step @p350 :rule cong :premises (@p349) :args (@t265)) % 0.84/1.09 (step @p351 :rule trans :premises (@p350 @p337)) % 0.84/1.09 (step @p352 :rule trans :premises (@p351 @p336)) % 0.84/1.09 (step @p353 :rule refl :args (@t90)) % 0.84/1.09 (step @p354 :rule nary_cong :premises (@p353 @p352) :args (@t266)) % 0.84/1.09 (step @p355 :rule trans :premises (@p354 @p286)) % 0.84/1.09 (step @p356 :rule quant-miniscope-or :args ((= (forall @t14 @t267) @t266))) % 0.84/1.09 (step @p357 :rule aci_norm :args ((= @t268 @t267))) % 0.84/1.09 (step @p358 :rule cong :premises (@p357) :args ((forall @t14 @t268))) % 0.84/1.09 (step @p359 :rule trans :premises (@p358 @p356)) % 0.84/1.09 (step @p360 :rule trans :premises (@p359 @p355)) % 0.84/1.09 (step @p361 :rule aci_norm :args ((= (or @t131 @t269) @t268))) % 0.84/1.09 (step @p362 :rule bool-impl-elim :args (@t13 @t269)) % 0.84/1.09 (step @p363 :rule trans :premises (@p362 @p361)) % 0.84/1.09 (step @p364 :rule cong :premises (@p363) :args ((forall @t14 (=> @t13 @t269)))) % 0.84/1.09 (step @p365 :rule trans :premises (@p364 @p360)) % 0.84/1.09 (step @p366 :rule bool-impl-elim :args (@t85 @t262)) % 0.84/1.09 (step @p367 :rule cong :premises (@p366) :args ((forall @t43 (=> @t85 @t262)))) % 0.84/1.09 (step @p368 :rule eq-symm :args (@t83 @t10)) % 0.84/1.09 (step @p369 :rule cong :premises (@p368) :args (@t84)) % 0.84/1.09 (step @p370 :rule refl :args (@t85)) % 0.84/1.09 (step @p371 :rule cong :premises (@p370 @p369) :args (@t86)) % 0.84/1.09 (step @p372 :rule cong :premises (@p371) :args (@t87)) % 0.84/1.09 (step @p373 :rule trans :premises (@p372 @p367)) % 0.84/1.09 (step @p374 :rule nary_cong :premises (@p272 @p373 @p271) :args (@t88)) % 0.84/1.09 (step @p375 :rule nary_cong :premises (@p374 @p329) :args (@t89)) % 0.84/1.09 (step @p376 :rule nary_cong :premises (@p332 @p353 @p375) :args (@t92)) % 0.84/1.09 (step @p377 :rule cong :premises (@p142 @p376) :args (@t93)) % 0.84/1.09 (step @p378 :rule cong :premises (@p377) :args (@t94)) % 0.84/1.09 (step @p379 :rule trans :premises (@p378 @p365)) % 0.84/1.09 (step @p380 :rule cong :premises (@p146 @p379) :args (@t95)) % 0.84/1.09 (step @p381 :rule cong :premises (@p380) :args (@t96)) % 0.84/1.09 (step @p382 :rule trans :premises (@p381 @p285)) % 0.84/1.09 (step @p383 :rule cong :premises (@p152 @p382) :args (@t97)) % 0.84/1.09 (step @p384 :rule cong :premises (@p383) :args (@t98)) % 0.84/1.09 (step @p385 :rule trans :premises (@p384 @p226)) % 0.84/1.09 (step @p386 :rule cong :premises (@p156 @p385) :args (@t99)) % 0.84/1.09 (step @p387 :rule cong :premises (@p386) :args (@t100)) % 0.84/1.09 (step @p388 :rule trans :premises (@p387 @p177)) % 0.84/1.09 (step @p389 :rule cong :premises (@p388) :args (@t101)) % 0.84/1.09 (step @p390 :rule eq_resolve :premises (@p96 @p389)) % 0.84/1.09 (step @p391 :rule skolemize :premises (@p390)) % 0.84/1.09 (step @p392 :rule bool-double-not-elim :args (@t270)) % 0.84/1.09 (step @p393 :rule refl :args (@t277)) % 0.84/1.09 (step @p394 :rule nary_cong :premises (@p393 @p392) :args ((or @t277 (not @t274)))) % 0.84/1.09 (step @p395 :rule cnf_or_neg :args (@t277 1)) % 0.84/1.09 (step @p396 :rule eq_resolve :premises (@p395 @p394)) % 0.84/1.09 (step @p397 :rule reordering :premises (@p396) :args ((or @t270 @t277))) % 0.84/1.09 (step @p398 :rule chain_m_resolution :premises (@p397 @p391) :args (@t270 @t278 @t279)) % 0.84/1.09 (step @p399 :rule bool-double-not-elim :args (@t275)) % 0.84/1.09 (step @p400 :rule nary_cong :premises (@p393 @p399) :args ((or @t277 (not @t276)))) % 0.84/1.09 (step @p401 :rule cnf_or_neg :args (@t277 0)) % 0.84/1.09 (step @p402 :rule eq_resolve :premises (@p401 @p400)) % 0.84/1.09 (step @p403 :rule reordering :premises (@p402) :args ((or @t275 @t277))) % 0.84/1.09 (step @p404 :rule chain_m_resolution :premises (@p403 @p391) :args (@t275 @t278 @t279)) % 0.84/1.09 (step @p405 :rule cnf_or_pos :args (@t283)) % 0.84/1.09 (step @p406 :rule reordering :premises (@p405) :args ((or @t276 @t274 @t282 (not @t283)))) % 0.84/1.09 (step @p407 :rule chain_m_resolution :premises (@p406 @p404 @p398 @p161) :args (@t282 @t284 (@list @t275 @t270 @t283))) % 0.84/1.09 (step @p408 :rule cnf_or_neg :args (@t277 3)) % 0.84/1.09 (step @p409 :rule chain_m_resolution :premises (@p408 @p391) :args ((not @t273) @t278 @t279)) % 0.84/1.09 (step @p410 :rule bool-double-not-elim :args (@t280)) % 0.84/1.09 (step @p411 :rule refl :args (@t273)) % 0.84/1.09 (step @p412 :rule refl :args (@t285)) % 0.84/1.09 (step @p413 :rule nary_cong :premises (@p412 @p411 @p410) :args ((or @t285 @t273 (not @t281)))) % 0.84/1.09 (step @p414 :rule cnf_equiv_pos2 :args (@t282)) % 0.84/1.09 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 0.84/1.09 (step @p416 :rule reordering :premises (@p415) :args ((or @t273 @t280 @t285))) % 0.84/1.09 (step @p417 :rule chain_m_resolution :premises (@p416 @p409 @p407) :args (@t280 @t286 (@list @t273 @t282))) % 0.84/1.09 (step @p418 :rule bool-impl-elim :args (@t17 @t287)) % 0.84/1.09 (step @p419 :rule cong :premises (@p418) :args ((forall @t9 (=> @t17 @t287)))) % 0.84/1.09 (step @p420 :rule eq-symm :args (@t77 @t2)) % 0.84/1.09 (step @p421 :rule cong :premises (@p156 @p420) :args (@t78)) % 0.84/1.09 (step @p422 :rule cong :premises (@p421) :args (@t79)) % 0.84/1.09 (step @p423 :rule trans :premises (@p422 @p419)) % 0.84/1.09 (step @p424 :rule eq_resolve :premises (@p84 @p423)) % 0.84/1.09 (step @p425 :rule instantiate :premises (@p424) :args ((@list @t152))) % 0.84/1.09 (step @p426 :rule cnf_or_pos :args (@t289)) % 0.84/1.09 (step @p427 :rule reordering :premises (@p426) :args ((or @t274 @t288 (not @t289)))) % 0.84/1.09 (step @p428 :rule chain_m_resolution :premises (@p427 @p398 @p425) :args (@t288 (@list false false) (@list @t270 @t289))) % 0.84/1.09 (step @p429 :rule aci_norm :args ((= @t294 (or @t109 @t292 @t291)))) % 0.84/1.09 (step @p430 :rule cong :premises (@p429) :args (@t295)) % 0.84/1.09 (step @p431 :rule quant-merge-prenex :args ((= (forall @t9 @t297) @t295))) % 0.84/1.09 (step @p432 :rule alpha_equiv :args (@t298 (@list @t290) @t116)) % 0.84/1.09 (step @p433 :rule nary_cong :premises (@p102 @p432) :args (@t299)) % 0.84/1.09 (step @p434 :rule quant-miniscope-or :args ((= @t297 @t299))) % 0.84/1.09 (step @p435 :rule trans :premises (@p434 @p433)) % 0.84/1.09 (step @p436 :rule symm :premises (@p435)) % 0.84/1.09 (step @p437 :rule cong :premises (@p436) :args ((forall @t9 (or @t109 @t300)))) % 0.84/1.09 (step @p438 :rule trans :premises (@p437 @p431)) % 0.84/1.09 (step @p439 :rule trans :premises (@p438 @p430)) % 0.84/1.09 (step @p440 :rule bool-impl-elim :args (@t17 @t300)) % 0.84/1.09 (step @p441 :rule cong :premises (@p440) :args ((forall @t9 (=> @t17 @t300)))) % 0.84/1.09 (step @p442 :rule trans :premises (@p441 @p439)) % 0.84/1.09 (step @p443 :rule bool-impl-elim :args (@t6 @t48)) % 0.84/1.09 (step @p444 :rule cong :premises (@p443) :args (@t49)) % 0.84/1.09 (step @p445 :rule cong :premises (@p156 @p444) :args (@t50)) % 0.84/1.09 (step @p446 :rule cong :premises (@p445) :args (@t51)) % 0.84/1.09 (step @p447 :rule trans :premises (@p446 @p442)) % 0.84/1.09 (step @p448 :rule eq_resolve :premises (@p16 @p447)) % 0.84/1.09 (step @p449 :rule instantiate :premises (@p448) :args ((@list tptp.nil @t150))) % 0.84/1.09 (step @p450 :rule bool-double-not-elim :args (@t271)) % 0.84/1.09 (step @p451 :rule nary_cong :premises (@p393 @p450) :args ((or @t277 (not @t272)))) % 0.84/1.09 (step @p452 :rule cnf_or_neg :args (@t277 4)) % 0.84/1.09 (step @p453 :rule eq_resolve :premises (@p452 @p451)) % 0.84/1.09 (step @p454 :rule reordering :premises (@p453) :args ((or @t271 @t277))) % 0.84/1.09 (step @p455 :rule chain_m_resolution :premises (@p454 @p391) :args (@t271 @t278 @t279)) % 0.84/1.09 (step @p456 :rule cnf_or_pos :args (@t303)) % 0.84/1.09 (step @p457 :rule reordering :premises (@p456) :args ((or @t302 @t272 @t301 (not @t303)))) % 0.84/1.09 (step @p458 :rule chain_m_resolution :premises (@p457 @p17 @p455 @p449) :args (@t301 @t284 (@list @t52 @t271 @t303))) % 0.84/1.09 (step @p459 :rule cnf_or_pos :args (@t306)) % 0.84/1.09 (step @p460 :rule reordering :premises (@p459) :args ((or @t302 @t305 @t304 @t307))) % 0.84/1.09 (step @p461 :rule chain_m_resolution :premises (@p460 @p17 @p458 @p428) :args (@t307 @t284 (@list @t52 @t301 @t288))) % 0.84/1.09 (assume-push @p468 @t280) % 0.84/1.09 (step @p463 :rule instantiate :premises (@p417) :args ((@list @t151 tptp.nil))) % 0.84/1.09 (step-pop @p469 :rule scope :premises (@p463)) % 0.84/1.09 (step @p464 :rule process_scope :premises (@p469) :args (@t306)) % 0.84/1.09 (step @p466 :rule implies_elim :premises (@p464)) % 0.84/1.09 (step @p467 false :rule chain_m_resolution :premises (@p466 @p461 @p417) :args (false @t286 (@list @t306 @t280))) % 0.84/1.09 ) % 0.84/1.09 % SZS output end Proof % 0.84/1.09 % cvc5 exiting %------------------------------------------------------------------------------