%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC400+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 : n004.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 08:59:10 AM UTC 2026 % Result : Theorem 65.32s 65.58s % Output : Proof 65.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC400+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 : n004.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 19:45:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 65.32/65.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 65.32/65.58 --- Run --no-e-matching --full-saturate-quant at 6... % 65.32/65.58 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 65.32/65.58 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 65.32/65.58 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 65.32/65.58 --- Run --trigger-sel=max --full-saturate-quant at 15... % 65.32/65.58 % SZS status Theorem % 65.32/65.58 % SZS output start Proof % 65.32/65.58 ( % 65.32/65.58 (declare-sort $$unsorted 0) % 65.32/65.58 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 65.32/65.58 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 65.32/65.58 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 65.32/65.58 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 65.32/65.58 (declare-const tptp.nil $$unsorted) % 65.32/65.58 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.ssList (-> $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 65.32/65.58 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 65.32/65.58 (define @t1 () (@var "V" $$unsorted)) % 65.32/65.58 (define @t2 () (@var "U" $$unsorted)) % 65.32/65.58 (define @t3 () (= @t2 @t1)) % 65.32/65.58 (define @t4 () (not @t3)) % 65.32/65.58 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 65.32/65.58 (define @t6 () (tptp.ssItem @t1)) % 65.32/65.58 (define @t7 () (@list @t1)) % 65.32/65.58 (define @t8 () (tptp.ssItem @t2)) % 65.32/65.58 (define @t9 () (@list @t2)) % 65.32/65.58 (define @t10 () (@var "X" $$unsorted)) % 65.32/65.58 (define @t11 () (tptp.cons @t1 @t10)) % 65.32/65.58 (define @t12 () (@var "W" $$unsorted)) % 65.32/65.58 (define @t13 () (tptp.ssList @t10)) % 65.32/65.58 (define @t14 () (@list @t10)) % 65.32/65.58 (define @t15 () (tptp.ssList @t12)) % 65.32/65.58 (define @t16 () (@list @t12)) % 65.32/65.58 (define @t17 () (tptp.ssList @t2)) % 65.32/65.58 (define @t18 () (tptp.cons @t1 tptp.nil)) % 65.32/65.58 (define @t19 () (tptp.app @t1 @t12)) % 65.32/65.58 (define @t20 () (tptp.frontsegP @t2 @t1)) % 65.32/65.58 (define @t21 () (tptp.ssList @t1)) % 65.32/65.58 (define @t22 () (tptp.app @t12 @t1)) % 65.32/65.58 (define @t23 () (tptp.rearsegP @t2 @t1)) % 65.32/65.58 (define @t24 () (tptp.app @t22 @t10)) % 65.32/65.58 (define @t25 () (and @t13 (= @t24 @t2))) % 65.32/65.58 (define @t26 () (exists @t14 @t25)) % 65.32/65.58 (define @t27 () (and @t15 @t26)) % 65.32/65.58 (define @t28 () (exists @t16 @t27)) % 65.32/65.58 (define @t29 () (tptp.segmentP @t2 @t1)) % 65.32/65.58 (define @t30 () (= @t29 @t28)) % 65.32/65.58 (define @t31 () (=> @t21 @t30)) % 65.32/65.58 (define @t32 () (forall @t7 @t31)) % 65.32/65.58 (define @t33 () (=> @t17 @t32)) % 65.32/65.58 (define @t34 () (forall @t9 @t33)) % 65.32/65.58 (define @t35 () (tptp.leq @t12 @t1)) % 65.32/65.58 (define @t36 () (tptp.leq @t1 @t12)) % 65.32/65.58 (define @t37 () (@var "Z" $$unsorted)) % 65.32/65.58 (define @t38 () (@var "Y" $$unsorted)) % 65.32/65.58 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 65.32/65.58 (define @t40 () (tptp.ssList @t37)) % 65.32/65.58 (define @t41 () (@list @t37)) % 65.32/65.58 (define @t42 () (tptp.ssList @t38)) % 65.32/65.58 (define @t43 () (@list @t38)) % 65.32/65.58 (define @t44 () (tptp.ssItem @t12)) % 65.32/65.58 (define @t45 () (tptp.lt @t1 @t12)) % 65.32/65.58 (define @t46 () (tptp.totalorderedP @t2)) % 65.32/65.58 (define @t47 () (= @t1 @t12)) % 65.32/65.58 (define @t48 () (tptp.cons @t1 @t2)) % 65.32/65.58 (define @t49 () (= @t1 @t2)) % 65.32/65.58 (define @t50 () (tptp.cons @t12 @t1)) % 65.32/65.58 (define @t51 () (= tptp.nil @t2)) % 65.32/65.58 (define @t52 () (tptp.hd @t2)) % 65.32/65.58 (define @t53 () (not @t51)) % 65.32/65.58 (define @t54 () (tptp.tl @t2)) % 65.32/65.58 (define @t55 () (tptp.app @t2 @t1)) % 65.32/65.58 (define @t56 () (tptp.ssList @t55)) % 65.32/65.58 (define @t57 () (forall @t7 (=> @t21 @t56))) % 65.32/65.58 (define @t58 () (=> @t17 @t57)) % 65.32/65.58 (define @t59 () (forall @t9 @t58)) % 65.32/65.58 (define @t60 () (tptp.app @t1 @t2)) % 65.32/65.58 (define @t61 () (tptp.leq @t1 @t2)) % 65.32/65.58 (define @t62 () (tptp.leq @t2 @t1)) % 65.32/65.58 (define @t63 () (tptp.geq @t2 @t1)) % 65.32/65.58 (define @t64 () (tptp.lt @t1 @t2)) % 65.32/65.58 (define @t65 () (tptp.lt @t2 @t1)) % 65.32/65.58 (define @t66 () (tptp.lt @t2 @t12)) % 65.32/65.58 (define @t67 () (tptp.gt @t2 @t1)) % 65.32/65.58 (define @t68 () (tptp.memberP @t12 @t2)) % 65.32/65.58 (define @t69 () (tptp.memberP @t1 @t2)) % 65.32/65.58 (define @t70 () (= (tptp.memberP @t19 @t2) (or @t69 @t68))) % 65.32/65.58 (define @t71 () (forall @t16 (=> @t15 @t70))) % 65.32/65.58 (define @t72 () (=> @t21 @t71)) % 65.32/65.58 (define @t73 () (forall @t7 @t72)) % 65.32/65.58 (define @t74 () (=> @t8 @t73)) % 65.32/65.58 (define @t75 () (forall @t9 @t74)) % 65.32/65.58 (define @t76 () (tptp.app @t12 @t2)) % 65.32/65.58 (define @t77 () (tptp.segmentP @t1 @t12)) % 65.32/65.58 (define @t78 () (tptp.segmentP @t1 @t2)) % 65.32/65.58 (define @t79 () (tptp.cons @t2 tptp.nil)) % 65.32/65.58 (define @t80 () (tptp.hd @t1)) % 65.32/65.58 (define @t81 () (= tptp.nil @t1)) % 65.32/65.58 (define @t82 () (not @t81)) % 65.32/65.58 (define @t83 () (tptp.cons @t2 @t1)) % 65.32/65.58 (define @t84 () (= @t12 @t2)) % 65.32/65.58 (define @t85 () (tptp.memberP @t1 @t38)) % 65.32/65.58 (define @t86 () (not (tptp.memberP @t2 @t38))) % 65.32/65.58 (define @t87 () (or @t86 @t85)) % 65.32/65.58 (define @t88 () (tptp.ssItem @t38)) % 65.32/65.58 (define @t89 () (forall @t43 (=> @t88 @t87))) % 65.32/65.58 (define @t90 () (not (tptp.totalorderedP @t12))) % 65.32/65.58 (define @t91 () (not (tptp.segmentP @t10 @t12))) % 65.32/65.58 (define @t92 () (not (= @t2 @t12))) % 65.32/65.58 (define @t93 () (not (= @t1 @t10))) % 65.32/65.58 (define @t94 () (or @t93 @t92 @t91 @t90 @t89)) % 65.32/65.58 (define @t95 () (=> @t13 @t94)) % 65.32/65.58 (define @t96 () (forall @t14 @t95)) % 65.32/65.58 (define @t97 () (=> @t15 @t96)) % 65.32/65.58 (define @t98 () (forall @t16 @t97)) % 65.32/65.58 (define @t99 () (=> @t21 @t98)) % 65.32/65.58 (define @t100 () (forall @t7 @t99)) % 65.32/65.58 (define @t101 () (=> @t17 @t100)) % 65.32/65.58 (define @t102 () (forall @t9 @t101)) % 65.32/65.58 (define @t103 () (not @t102)) % 65.32/65.58 (define @t104 () (@var "BOUND_VARIABLE_10978" $$unsorted)) % 65.32/65.58 (define @t105 () (@var "BOUND_VARIABLE_10976" $$unsorted)) % 65.32/65.58 (define @t106 () (tptp.memberP @t105 @t104)) % 65.32/65.58 (define @t107 () (not (tptp.memberP @t2 @t104))) % 65.32/65.58 (define @t108 () (not (tptp.ssItem @t104))) % 65.32/65.58 (define @t109 () (not (tptp.segmentP @t105 @t2))) % 65.32/65.58 (define @t110 () (not (tptp.ssList @t105))) % 65.32/65.58 (define @t111 () (not @t46)) % 65.32/65.58 (define @t112 () (not @t17)) % 65.32/65.58 (define @t113 () (or @t112 @t111 @t110 @t109 @t108 @t107 @t106)) % 65.32/65.58 (define @t114 () (or @t110 @t109 @t108 @t107 @t106)) % 65.32/65.58 (define @t115 () (or @t112 @t111 @t114)) % 65.32/65.58 (define @t116 () (@list @t2 @t105 @t104)) % 65.32/65.58 (define @t117 () (forall @t116 @t115)) % 65.32/65.58 (define @t118 () (@list @t105 @t104)) % 65.32/65.58 (define @t119 () (forall @t118 @t115)) % 65.32/65.58 (define @t120 () (forall @t118 @t114)) % 65.32/65.58 (define @t121 () (@var "BOUND_VARIABLE_10959" $$unsorted)) % 65.32/65.58 (define @t122 () (or @t112 @t111 @t120)) % 65.32/65.58 (define @t123 () (tptp.memberP @t1 @t121)) % 65.32/65.58 (define @t124 () (not (tptp.memberP @t2 @t121))) % 65.32/65.58 (define @t125 () (not (tptp.ssItem @t121))) % 65.32/65.58 (define @t126 () (not @t78)) % 65.32/65.58 (define @t127 () (not @t21)) % 65.32/65.58 (define @t128 () (or @t127 @t126 @t125 @t124 @t123)) % 65.32/65.58 (define @t129 () (@list @t1 @t121)) % 65.32/65.58 (define @t130 () (or @t112 @t111 (forall @t129 @t128))) % 65.32/65.58 (define @t131 () (or @t125 @t124 @t123)) % 65.32/65.58 (define @t132 () (or @t127 @t131 @t126)) % 65.32/65.58 (define @t133 () (forall @t129 @t132)) % 65.32/65.58 (define @t134 () (@list @t121)) % 65.32/65.58 (define @t135 () (forall @t134 @t132)) % 65.32/65.58 (define @t136 () (forall @t134 @t131)) % 65.32/65.58 (define @t137 () (or @t127 @t136 @t126)) % 65.32/65.58 (define @t138 () (not @t88)) % 65.32/65.58 (define @t139 () (or @t138 @t86 @t85)) % 65.32/65.58 (define @t140 () (forall @t43 @t139)) % 65.32/65.58 (define @t141 () (or @t127 @t140 @t126)) % 65.32/65.58 (define @t142 () (forall @t7 @t141)) % 65.32/65.58 (define @t143 () (or @t112 @t111 @t142)) % 65.32/65.58 (define @t144 () (or @t112 @t111 @t141)) % 65.32/65.58 (define @t145 () (or @t127 @t140 @t112 @t111 @t126)) % 65.32/65.58 (define @t146 () (or @t140 @t127 @t112 @t111 @t126)) % 65.32/65.58 (define @t147 () (or @t112 @t111 @t126)) % 65.32/65.58 (define @t148 () (not (= @t2 @t2))) % 65.32/65.58 (define @t149 () (or @t112 @t148 @t111 @t126)) % 65.32/65.58 (define @t150 () (not @t77)) % 65.32/65.58 (define @t151 () (not @t15)) % 65.32/65.58 (define @t152 () (or @t92 @t151 @t92 @t90 @t150)) % 65.32/65.58 (define @t153 () (or @t151 @t92 @t90 @t150)) % 65.32/65.58 (define @t154 () (forall @t16 @t153)) % 65.32/65.58 (define @t155 () (or @t140 @t127 @t154)) % 65.32/65.58 (define @t156 () (or @t140 @t127 @t153)) % 65.32/65.58 (define @t157 () (or @t151 @t92 @t90 @t140 @t127 @t150)) % 65.32/65.58 (define @t158 () (or @t92 @t90 @t140 @t127 @t150)) % 65.32/65.58 (define @t159 () (or @t127 @t150)) % 65.32/65.58 (define @t160 () (not (= @t1 @t1))) % 65.32/65.58 (define @t161 () (or @t127 @t160 @t150)) % 65.32/65.58 (define @t162 () (not @t13)) % 65.32/65.58 (define @t163 () (or @t93 @t162 @t93 @t91)) % 65.32/65.58 (define @t164 () (or @t162 @t93 @t91)) % 65.32/65.58 (define @t165 () (forall @t14 @t164)) % 65.32/65.58 (define @t166 () (or @t92 @t90 @t140 @t165)) % 65.32/65.58 (define @t167 () (or @t92 @t90 @t140 @t164)) % 65.32/65.58 (define @t168 () (or @t162 @t93 @t92 @t91 @t90 @t140)) % 65.32/65.58 (define @t169 () (or @t93 @t92 @t91 @t90 @t140)) % 65.32/65.58 (define @t170 () (forall @t116 @t113)) % 65.32/65.58 (define @t171 () (@quantifiers_skolemize @t170 0)) % 65.32/65.58 (define @t172 () (tptp.ssList @t171)) % 65.32/65.58 (define @t173 () (@quantifiers_skolemize @t170 2)) % 65.32/65.58 (define @t174 () (@quantifiers_skolemize @t170 1)) % 65.32/65.58 (define @t175 () (tptp.memberP @t174 @t173)) % 65.32/65.58 (define @t176 () (tptp.memberP @t171 @t173)) % 65.32/65.58 (define @t177 () (not @t176)) % 65.32/65.58 (define @t178 () (tptp.ssItem @t173)) % 65.32/65.58 (define @t179 () (not @t178)) % 65.32/65.58 (define @t180 () (tptp.segmentP @t174 @t171)) % 65.32/65.58 (define @t181 () (not @t180)) % 65.32/65.58 (define @t182 () (tptp.ssList @t174)) % 65.32/65.58 (define @t183 () (not @t182)) % 65.32/65.58 (define @t184 () (not @t172)) % 65.32/65.58 (define @t185 () (or @t184 (not (tptp.totalorderedP @t171)) @t183 @t181 @t179 @t177 @t175)) % 65.32/65.58 (define @t186 () (@list true)) % 65.32/65.58 (define @t187 () (@list @t185)) % 65.32/65.58 (define @t188 () (@var "BOUND_VARIABLE_8380" $$unsorted)) % 65.32/65.58 (define @t189 () (@var "BOUND_VARIABLE_8403" $$unsorted)) % 65.32/65.58 (define @t190 () (not (tptp.ssList @t188))) % 65.32/65.58 (define @t191 () (@list @t12 @t188)) % 65.32/65.58 (define @t192 () (= (tptp.segmentP @t2 @t189) (not (forall @t191 (or @t151 @t190 (not (= @t2 (tptp.app (tptp.app @t12 @t189) @t188)))))))) % 65.32/65.58 (define @t193 () (not (tptp.ssList @t189))) % 65.32/65.58 (define @t194 () (or @t193 @t192)) % 65.32/65.58 (define @t195 () (or @t112 @t194)) % 65.32/65.58 (define @t196 () (forall (@list @t2 @t189) @t195)) % 65.32/65.58 (define @t197 () (@list @t189)) % 65.32/65.58 (define @t198 () (forall @t197 @t195)) % 65.32/65.58 (define @t199 () (forall @t197 @t194)) % 65.32/65.58 (define @t200 () (@list @t1)) % 65.32/65.58 (define @t201 () (or @t112 @t199)) % 65.32/65.58 (define @t202 () (not (= @t2 (tptp.app @t22 @t188)))) % 65.32/65.58 (define @t203 () (or @t151 @t190 @t202)) % 65.32/65.58 (define @t204 () (= @t29 (not (forall @t191 @t203)))) % 65.32/65.58 (define @t205 () (forall @t7 (or @t127 @t204))) % 65.32/65.58 (define @t206 () (or @t190 @t202)) % 65.32/65.58 (define @t207 () (or @t151 @t206)) % 65.32/65.58 (define @t208 () (forall @t191 @t207)) % 65.32/65.58 (define @t209 () (@list @t188)) % 65.32/65.58 (define @t210 () (forall @t209 @t207)) % 65.32/65.58 (define @t211 () (forall @t209 @t206)) % 65.32/65.58 (define @t212 () (or @t151 @t211)) % 65.32/65.58 (define @t213 () (= @t2 @t24)) % 65.32/65.58 (define @t214 () (forall @t14 (or @t162 (not @t213)))) % 65.32/65.58 (define @t215 () (not @t214)) % 65.32/65.58 (define @t216 () (and @t15 @t215)) % 65.32/65.58 (define @t217 () (forall @t16 (not @t216))) % 65.32/65.58 (define @t218 () (not @t217)) % 65.32/65.58 (define @t219 () (and @t13 @t213)) % 65.32/65.58 (define @t220 () (forall @t14 (not @t219))) % 65.32/65.58 (define @t221 () (not @t220)) % 65.32/65.58 (define @t222 () (forall @t191 (or @t151 @t190 (not (= @t174 (tptp.app (tptp.app @t12 @t171) @t188)))))) % 65.32/65.58 (define @t223 () (not @t222)) % 65.32/65.58 (define @t224 () (= @t180 @t223)) % 65.32/65.58 (define @t225 () (or @t183 @t184 @t224)) % 65.32/65.58 (define @t226 () (@list false false false)) % 65.32/65.58 (define @t227 () (@quantifiers_skolemize @t222 0)) % 65.32/65.58 (define @t228 () (tptp.ssList @t227)) % 65.32/65.58 (define @t229 () (@quantifiers_skolemize @t222 1)) % 65.32/65.58 (define @t230 () (tptp.app @t227 @t171)) % 65.32/65.58 (define @t231 () (tptp.app @t230 @t229)) % 65.32/65.58 (define @t232 () (= @t174 @t231)) % 65.32/65.58 (define @t233 () (not @t232)) % 65.32/65.58 (define @t234 () (tptp.ssList @t229)) % 65.32/65.58 (define @t235 () (not @t234)) % 65.32/65.58 (define @t236 () (not @t228)) % 65.32/65.58 (define @t237 () (or @t236 @t235 @t233)) % 65.32/65.58 (define @t238 () (@list @t237)) % 65.32/65.58 (define @t239 () (@var "BOUND_VARIABLE_9651" $$unsorted)) % 65.32/65.58 (define @t240 () (@var "BOUND_VARIABLE_9649" $$unsorted)) % 65.32/65.58 (define @t241 () (= (tptp.memberP (tptp.app @t240 @t239) @t2) (or (tptp.memberP @t240 @t2) (tptp.memberP @t239 @t2)))) % 65.32/65.58 (define @t242 () (not (tptp.ssList @t239))) % 65.32/65.58 (define @t243 () (not (tptp.ssList @t240))) % 65.32/65.58 (define @t244 () (not @t8)) % 65.32/65.58 (define @t245 () (or @t243 @t242 @t241)) % 65.32/65.58 (define @t246 () (or @t244 @t245)) % 65.32/65.58 (define @t247 () (forall (@list @t2 @t240 @t239) @t246)) % 65.32/65.58 (define @t248 () (@list @t240 @t239)) % 65.32/65.58 (define @t249 () (forall @t248 @t246)) % 65.32/65.58 (define @t250 () (forall @t248 @t245)) % 65.32/65.58 (define @t251 () (@var "BOUND_VARIABLE_9630" $$unsorted)) % 65.32/65.58 (define @t252 () (or @t244 @t250)) % 65.32/65.58 (define @t253 () (= (tptp.memberP (tptp.app @t1 @t251) @t2) (or @t69 (tptp.memberP @t251 @t2)))) % 65.32/65.58 (define @t254 () (not (tptp.ssList @t251))) % 65.32/65.58 (define @t255 () (or @t127 @t254 @t253)) % 65.32/65.58 (define @t256 () (@list @t1 @t251)) % 65.32/65.58 (define @t257 () (forall @t256 @t255)) % 65.32/65.58 (define @t258 () (or @t254 @t253)) % 65.32/65.58 (define @t259 () (or @t127 @t258)) % 65.32/65.58 (define @t260 () (forall @t256 @t259)) % 65.32/65.58 (define @t261 () (@list @t251)) % 65.32/65.58 (define @t262 () (forall @t261 @t259)) % 65.32/65.58 (define @t263 () (forall @t261 @t258)) % 65.32/65.58 (define @t264 () (or @t127 @t263)) % 65.32/65.58 (define @t265 () (forall @t16 (or @t151 @t70))) % 65.32/65.58 (define @t266 () (or (tptp.memberP @t227 @t173) @t176)) % 65.32/65.58 (define @t267 () (@var "BOUND_VARIABLE_9363" $$unsorted)) % 65.32/65.58 (define @t268 () (tptp.ssList (tptp.app @t2 @t267))) % 65.32/65.58 (define @t269 () (not (tptp.ssList @t267))) % 65.32/65.58 (define @t270 () (or @t269 @t268)) % 65.32/65.58 (define @t271 () (or @t112 @t270)) % 65.32/65.58 (define @t272 () (forall (@list @t2 @t267) @t271)) % 65.32/65.58 (define @t273 () (@list @t267)) % 65.32/65.58 (define @t274 () (forall @t273 @t271)) % 65.32/65.58 (define @t275 () (forall @t273 @t270)) % 65.32/65.58 (define @t276 () (or @t112 @t275)) % 65.32/65.58 (define @t277 () (forall @t7 (or @t127 @t56))) % 65.32/65.58 (define @t278 () (tptp.ssList @t230)) % 65.32/65.58 (define @t279 () (or @t236 @t184 @t278)) % 65.32/65.58 (define @t280 () (tptp.memberP @t230 @t173)) % 65.32/65.58 (define @t281 () (or @t280 (tptp.memberP @t229 @t173))) % 65.32/65.58 (define @t282 () (tptp.memberP @t231 @t173)) % 65.32/65.58 (define @t283 () (= @t282 @t281)) % 65.32/65.58 (define @t284 () (not @t278)) % 65.32/65.58 (define @t285 () (or @t179 @t284 @t235 @t283)) % 65.32/65.58 (define @t286 () (not @t281)) % 65.32/65.58 (define @t287 () (@list true false)) % 65.32/65.58 (define @t288 () (= @t280 @t266)) % 65.32/65.58 (define @t289 () (not @t288)) % 65.32/65.58 (define @t290 () (or @t179 @t236 @t184 @t288)) % 65.32/65.58 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 65.32/65.58 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 65.32/65.58 (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))))))))))) % 65.32/65.58 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 65.32/65.58 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 65.32/65.58 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 65.32/65.58 (assume @p7 @t34) % 65.32/65.58 (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))))))))))))))))) % 65.32/65.58 (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)))))))))))))))) % 65.32/65.58 (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))))))))))))))))) % 65.32/65.58 (assume @p11 (forall @t9 (=> @t17 (= @t46 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t36))))))))))))))) % 65.32/65.58 (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))))))))))))))) % 65.32/65.58 (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 @t47)))))))))))))))) % 65.32/65.58 (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) @t47))))))))))))) % 65.32/65.58 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 65.32/65.58 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t48)))))) % 65.32/65.58 (assume @p17 (tptp.ssList tptp.nil)) % 65.32/65.58 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t48 @t2))))))) % 65.32/65.58 (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) @t49))))))))))) % 65.32/65.58 (assume @p20 (forall @t9 (=> @t17 (or @t51 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t50 @t2))))))))) % 65.32/65.58 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t48))))))) % 65.32/65.58 (assume @p22 (forall @t9 (=> @t17 (=> @t53 (tptp.ssItem @t52))))) % 65.32/65.58 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t48) @t1)))))) % 65.32/65.58 (assume @p24 (forall @t9 (=> @t17 (=> @t53 (tptp.ssList @t54))))) % 65.32/65.58 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t48) @t2)))))) % 65.32/65.58 (assume @p26 @t59) % 65.32/65.58 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t60) (tptp.app @t50 @t2))))))))) % 65.32/65.58 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 65.32/65.58 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 @t61) @t3)))))) % 65.32/65.58 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t36) (tptp.leq @t2 @t12))))))))) % 65.32/65.58 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 65.32/65.58 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 @t61)))))) % 65.32/65.58 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (not @t64))))))) % 65.32/65.58 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t45) @t66)))))))) % 65.32/65.58 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 @t64)))))) % 65.32/65.58 (assume @p36 @t75) % 65.32/65.58 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t68))))))))) % 65.32/65.58 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 65.32/65.58 (assume @p39 (not (tptp.singletonP tptp.nil))) % 65.32/65.58 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 65.32/65.58 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 65.32/65.58 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 65.32/65.58 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 65.32/65.58 (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)))))))))))) % 65.32/65.58 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 65.32/65.58 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t51)))) % 65.32/65.58 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 65.32/65.58 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 65.32/65.58 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 65.32/65.58 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t76 @t1))))))))) % 65.32/65.58 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 65.32/65.58 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t51)))) % 65.32/65.58 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 @t77) (tptp.segmentP @t2 @t12))))))))) % 65.32/65.58 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t78) @t3)))))) % 65.32/65.58 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 65.32/65.58 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t76 @t10) @t1))))))))))) % 65.32/65.58 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 65.32/65.58 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t51)))) % 65.32/65.58 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t79)))) % 65.32/65.58 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 65.32/65.58 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t79)))) % 65.32/65.58 (assume @p62 (tptp.totalorderP tptp.nil)) % 65.32/65.58 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t79)))) % 65.32/65.58 (assume @p64 (tptp.strictorderP tptp.nil)) % 65.32/65.58 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t79)))) % 65.32/65.58 (assume @p66 (tptp.totalorderedP tptp.nil)) % 65.32/65.58 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t83) (or @t81 (and @t82 (tptp.totalorderedP @t1) (tptp.leq @t2 @t80))))))))) % 65.32/65.58 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t79)))) % 65.32/65.58 (assume @p69 (tptp.strictorderedP tptp.nil)) % 65.32/65.58 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t83) (or @t81 (and @t82 (tptp.strictorderedP @t1) (tptp.lt @t2 @t80))))))))) % 65.32/65.58 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t79)))) % 65.32/65.58 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 65.32/65.58 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t79)))) % 65.32/65.58 (assume @p74 (tptp.equalelemsP tptp.nil)) % 65.32/65.58 (assume @p75 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t6 (= @t52 @t1))))))) % 65.32/65.58 (assume @p76 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t21 (= @t54 @t1))))))) % 65.32/65.58 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t82 @t53 (= @t80 @t52) (= (tptp.tl @t1) @t54)) @t49)))))) % 65.32/65.58 (assume @p78 (forall @t9 (=> @t17 (=> @t53 (= (tptp.cons @t52 @t54) @t2))))) % 65.32/65.58 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t55) @t84)))))))) % 65.32/65.58 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t60) @t84)))))))) % 65.32/65.58 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t48 (tptp.app @t18 @t2))))))) % 65.32/65.58 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t55 @t12) (tptp.app @t2 @t19))))))))) % 65.32/65.58 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t55) (and @t81 @t51))))))) % 65.32/65.58 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 65.32/65.58 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t53 (= (tptp.hd @t55) @t52))))))) % 65.32/65.58 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t53 (= (tptp.tl @t55) (tptp.app @t54 @t1)))))))) % 65.32/65.58 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t63 (tptp.geq @t1 @t2)) @t3)))))) % 65.32/65.58 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t63 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 65.32/65.58 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 65.32/65.58 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 65.32/65.58 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t45) @t66)))))))) % 65.32/65.58 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (or @t3 @t65))))))) % 65.32/65.58 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 (and @t4 @t62))))))) % 65.32/65.58 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (not (tptp.gt @t1 @t2)))))))) % 65.32/65.58 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t67 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 65.32/65.58 (assume @p96 @t103) % 65.32/65.58 (assume @p97 true) % 65.32/65.58 (step @p98 :rule aci_norm :args ((= @t115 @t113))) % 65.32/65.58 (step @p99 :rule cong :premises (@p98) :args (@t117)) % 65.32/65.58 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t119) @t117))) % 65.32/65.58 (step @p101 :rule alpha_equiv :args (@t120 (@list @t105 @t104) (@list @t1 @t121))) % 65.32/65.58 (step @p102 :rule refl :args (@t111)) % 65.32/65.58 (step @p103 :rule refl :args (@t112)) % 65.32/65.58 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t122)) % 65.32/65.58 (step @p105 :rule quant-miniscope-or :args ((= @t119 @t122))) % 65.32/65.58 (step @p106 :rule trans :premises (@p105 @p104)) % 65.32/65.58 (step @p107 :rule symm :premises (@p106)) % 65.32/65.58 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 @t130))) % 65.32/65.58 (step @p109 :rule trans :premises (@p108 @p100)) % 65.32/65.58 (step @p110 :rule trans :premises (@p109 @p99)) % 65.32/65.58 (step @p111 :rule aci_norm :args ((= (or @t112 @t130) @t130))) % 65.32/65.58 (step @p112 :rule bool-impl-elim :args (@t17 @t130)) % 65.32/65.58 (step @p113 :rule trans :premises (@p112 @p111)) % 65.32/65.58 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t17 @t130)))) % 65.32/65.58 (step @p115 :rule trans :premises (@p114 @p110)) % 65.32/65.58 (step @p116 :rule aci_norm :args ((= @t132 @t128))) % 65.32/65.58 (step @p117 :rule cong :premises (@p116) :args (@t133)) % 65.32/65.58 (step @p118 :rule quant-merge-prenex :args ((= (forall @t7 @t135) @t133))) % 65.32/65.58 (step @p119 :rule refl :args (@t126)) % 65.32/65.58 (step @p120 :rule alpha_equiv :args (@t136 (@list @t121) (@list @t38))) % 65.32/65.58 (step @p121 :rule refl :args (@t127)) % 65.32/65.58 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t137)) % 65.32/65.58 (step @p123 :rule quant-miniscope-or :args ((= @t135 @t137))) % 65.32/65.58 (step @p124 :rule trans :premises (@p123 @p122)) % 65.32/65.58 (step @p125 :rule symm :premises (@p124)) % 65.32/65.58 (step @p126 :rule cong :premises (@p125) :args (@t142)) % 65.32/65.58 (step @p127 :rule trans :premises (@p126 @p118)) % 65.32/65.58 (step @p128 :rule trans :premises (@p127 @p117)) % 65.32/65.58 (step @p129 :rule refl :args (@t111)) % 65.32/65.58 (step @p130 :rule refl :args (@t112)) % 65.32/65.58 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128) :args (@t143)) % 65.32/65.58 (step @p132 :rule quant-miniscope-or :args ((= (forall @t7 @t144) @t143))) % 65.32/65.58 (step @p133 :rule aci_norm :args ((= @t145 @t144))) % 65.32/65.58 (step @p134 :rule cong :premises (@p133) :args ((forall @t7 @t145))) % 65.32/65.58 (step @p135 :rule trans :premises (@p134 @p132)) % 65.32/65.58 (step @p136 :rule trans :premises (@p135 @p131)) 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65.32/65.58 (step @p357 :rule symm :premises (@p356)) % 65.32/65.58 (step @p358 :rule cong :premises (@p357) :args ((forall @t7 (or @t127 @t265)))) % 65.32/65.58 (step @p359 :rule trans :premises (@p358 @p352)) % 65.32/65.58 (step @p360 :rule trans :premises (@p359 @p351)) % 65.32/65.58 (step @p361 :rule bool-impl-elim :args (@t21 @t265)) % 65.32/65.58 (step @p362 :rule cong :premises (@p361) :args ((forall @t7 (=> @t21 @t265)))) % 65.32/65.58 (step @p363 :rule trans :premises (@p362 @p360)) % 65.32/65.58 (step @p364 :rule bool-impl-elim :args (@t15 @t70)) % 65.32/65.58 (step @p365 :rule cong :premises (@p364) :args (@t71)) % 65.32/65.58 (step @p366 :rule cong :premises (@p227 @p365) :args (@t72)) % 65.32/65.58 (step @p367 :rule cong :premises (@p366) :args (@t73)) % 65.32/65.58 (step @p368 :rule trans :premises (@p367 @p363)) % 65.32/65.58 (step @p369 :rule refl :args (@t8)) % 65.32/65.58 (step @p370 :rule cong :premises (@p369 @p368) :args (@t74)) % 65.32/65.58 (step @p371 :rule cong :premises (@p370) :args (@t75)) % 65.32/65.58 (step @p372 :rule trans :premises (@p371 @p349)) % 65.32/65.58 (step @p373 :rule eq_resolve :premises (@p36 @p372)) % 65.32/65.58 (step @p374 :rule instantiate :premises (@p373) :args ((@list @t173 @t227 @t171))) % 65.32/65.58 (step @p375 :rule bool-double-not-elim :args (@t176)) % 65.32/65.58 (step @p376 :rule nary_cong :premises (@p239 @p375) :args ((or @t185 (not @t177)))) % 65.32/65.58 (step @p377 :rule cnf_or_neg :args (@t185 5)) % 65.32/65.58 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 65.32/65.58 (step @p379 :rule reordering :premises (@p378) :args ((or @t176 @t185))) % 65.32/65.58 (step @p380 :rule chain_m_resolution :premises (@p379 @p237) :args (@t176 @t186 @t187)) % 65.32/65.58 (step @p381 :rule cnf_or_neg :args (@t266 1)) % 65.32/65.58 (step @p382 :rule reordering :premises (@p381) :args ((or @t177 @t266))) % 65.32/65.58 (step @p383 :rule chain_m_resolution :premises (@p382 @p380) :args (@t266 (@list false) (@list @t176))) % 65.32/65.58 (step @p384 :rule instantiate :premises (@p373) :args ((@list @t173 @t230 @t229))) % 65.32/65.58 (step @p385 :rule aci_norm :args ((= @t271 (or @t112 @t269 @t268)))) % 65.32/65.58 (step @p386 :rule cong :premises (@p385) :args (@t272)) % 65.32/65.58 (step @p387 :rule quant-merge-prenex :args ((= (forall @t9 @t274) @t272))) % 65.32/65.58 (step @p388 :rule alpha_equiv :args (@t275 (@list @t267) @t200)) % 65.32/65.58 (step @p389 :rule nary_cong :premises (@p103 @p388) :args (@t276)) % 65.32/65.58 (step @p390 :rule quant-miniscope-or :args ((= @t274 @t276))) % 65.32/65.58 (step @p391 :rule trans :premises (@p390 @p389)) % 65.32/65.58 (step @p392 :rule symm :premises (@p391)) % 65.32/65.58 (step @p393 :rule cong :premises (@p392) :args ((forall @t9 (or @t112 @t277)))) % 65.32/65.58 (step @p394 :rule trans :premises (@p393 @p387)) % 65.32/65.58 (step @p395 :rule trans :premises (@p394 @p386)) % 65.32/65.58 (step @p396 :rule bool-impl-elim :args (@t17 @t277)) % 65.32/65.58 (step @p397 :rule cong :premises (@p396) :args ((forall @t9 (=> @t17 @t277)))) % 65.32/65.58 (step @p398 :rule trans :premises (@p397 @p395)) % 65.32/65.58 (step @p399 :rule bool-impl-elim :args (@t21 @t56)) % 65.32/65.58 (step @p400 :rule cong :premises (@p399) :args (@t57)) % 65.32/65.58 (step @p401 :rule cong :premises (@p231 @p400) :args (@t58)) % 65.32/65.58 (step @p402 :rule cong :premises (@p401) :args (@t59)) % 65.32/65.58 (step @p403 :rule trans :premises (@p402 @p398)) % 65.32/65.58 (step @p404 :rule eq_resolve :premises (@p26 @p403)) % 65.32/65.58 (step @p405 :rule instantiate :premises (@p404) :args ((@list @t227 @t171))) % 65.32/65.58 (step @p406 :rule cnf_or_pos :args (@t279)) % 65.32/65.58 (step @p407 :rule reordering :premises (@p406) :args ((or @t184 @t236 @t278 (not @t279)))) % 65.32/65.58 (step @p408 :rule chain_m_resolution :premises (@p407 @p244 @p334 @p405) :args (@t278 @t226 (@list @t172 @t228 @t279))) % 65.32/65.58 (step @p409 :rule bool-double-not-elim :args (@t234)) % 65.32/65.58 (step @p410 :rule nary_cong :premises (@p329 @p409) :args ((or @t237 (not @t235)))) % 65.32/65.58 (step @p411 :rule cnf_or_neg :args (@t237 1)) % 65.32/65.58 (step @p412 :rule eq_resolve :premises (@p411 @p410)) % 65.32/65.58 (step @p413 :rule reordering :premises (@p412) :args ((or @t234 @t237))) % 65.32/65.58 (step @p414 :rule chain_m_resolution :premises (@p413 @p327) :args (@t234 @t186 @t238)) % 65.32/65.58 (step @p415 :rule cnf_or_pos :args (@t285)) % 65.32/65.58 (step @p416 :rule reordering :premises (@p415) :args ((or @t179 @t235 @t284 @t283 (not @t285)))) % 65.32/65.58 (step @p417 :rule chain_m_resolution :premises (@p416 @p250 @p414 @p408 @p384) :args (@t283 (@list false false false false) (@list @t178 @t234 @t278 @t285))) % 65.32/65.58 (step @p418 :rule cnf_or_neg :args (@t185 6)) % 65.32/65.58 (step @p419 :rule chain_m_resolution :premises (@p418 @p237) :args ((not @t175) @t186 @t187)) % 65.32/65.58 (step @p420 :rule false_intro :premises (@p419)) % 65.32/65.58 (step @p421 :rule refl :args (@t173)) % 65.32/65.58 (step @p422 :rule bool-double-not-elim :args (@t232)) % 65.32/65.58 (step @p423 :rule nary_cong :premises (@p329 @p422) :args ((or @t237 (not @t233)))) % 65.32/65.58 (step @p424 :rule cnf_or_neg :args (@t237 2)) % 65.32/65.58 (step @p425 :rule eq_resolve :premises (@p424 @p423)) % 65.32/65.58 (step @p426 :rule reordering :premises (@p425) :args ((or @t232 @t237))) % 65.32/65.58 (step @p427 :rule chain_m_resolution :premises (@p426 @p327) :args (@t232 @t186 @t238)) % 65.32/65.58 (step @p428 :rule symm :premises (@p427)) % 65.32/65.58 (step @p429 :rule cong :premises (@p428 @p421) :args (@t282)) % 65.32/65.58 (step @p430 :rule trans :premises (@p429 @p420)) % 65.32/65.58 (step @p431 :rule false_elim :premises (@p430)) % 65.32/65.58 (step @p432 :rule cnf_equiv_pos2 :args (@t283)) % 65.32/65.58 (step @p433 :rule reordering :premises (@p432) :args ((or @t282 @t286 (not @t283)))) % 65.32/65.58 (step @p434 :rule chain_m_resolution :premises (@p433 @p431 @p417) :args (@t286 @t287 (@list @t282 @t283))) % 65.32/65.58 (step @p435 :rule cnf_or_neg :args (@t281 0)) % 65.32/65.58 (step @p436 :rule chain_m_resolution :premises (@p435 @p434) :args ((not @t280) @t186 (@list @t281))) % 65.32/65.58 (step @p437 :rule cnf_equiv_pos2 :args (@t288)) % 65.32/65.58 (step @p438 :rule reordering :premises (@p437) :args ((or @t280 (not @t266) @t289))) % 65.32/65.58 (step @p439 :rule chain_m_resolution :premises (@p438 @p436 @p383) :args (@t289 @t287 (@list @t280 @t266))) % 65.32/65.58 (step @p440 :rule cnf_or_pos :args (@t290)) % 65.32/65.58 (step @p441 :rule reordering :premises (@p440) :args ((or @t184 @t179 @t236 @t288 (not @t290)))) % 65.32/65.58 (step @p442 false :rule chain_m_resolution :premises (@p441 @p439 @p374 @p334 @p250 @p244) :args (false (@list true false false false false) (@list @t288 @t290 @t228 @t178 @t172))) % 65.32/65.58 ) % 65.32/65.58 % SZS output end Proof % 65.32/65.58 % cvc5 exiting %------------------------------------------------------------------------------