%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC185+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 : n013.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 08:58:23 AM UTC 2026 % Result : Theorem 0.39s 0.76s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWC185+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:22:15 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.76 % SZS status Theorem % 0.39/0.76 % SZS output start Proof % 0.39/0.76 ( % 0.39/0.76 (declare-sort $$unsorted 0) % 0.39/0.76 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.76 (declare-const tptp.nil $$unsorted) % 0.39/0.76 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/0.76 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.76 (define @t1 () (@var "V" $$unsorted)) % 0.39/0.76 (define @t2 () (@var "U" $$unsorted)) % 0.39/0.76 (define @t3 () (= @t2 @t1)) % 0.39/0.76 (define @t4 () (not @t3)) % 0.39/0.76 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.39/0.76 (define @t6 () (tptp.ssItem @t1)) % 0.39/0.76 (define @t7 () (@list @t1)) % 0.39/0.76 (define @t8 () (tptp.ssItem @t2)) % 0.39/0.76 (define @t9 () (@list @t2)) % 0.39/0.76 (define @t10 () (@var "X" $$unsorted)) % 0.39/0.76 (define @t11 () (tptp.cons @t1 @t10)) % 0.39/0.76 (define @t12 () (@var "W" $$unsorted)) % 0.39/0.76 (define @t13 () (tptp.ssList @t10)) % 0.39/0.76 (define @t14 () (@list @t10)) % 0.39/0.76 (define @t15 () (tptp.ssList @t12)) % 0.39/0.76 (define @t16 () (@list @t12)) % 0.39/0.76 (define @t17 () (tptp.ssList @t2)) % 0.39/0.76 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.39/0.76 (define @t19 () (tptp.app @t1 @t12)) % 0.39/0.76 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.39/0.76 (define @t21 () (tptp.ssList @t1)) % 0.39/0.76 (define @t22 () (tptp.app @t12 @t1)) % 0.39/0.76 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.39/0.76 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.39/0.76 (define @t25 () (tptp.leq @t12 @t1)) % 0.39/0.76 (define @t26 () (tptp.leq @t1 @t12)) % 0.39/0.76 (define @t27 () (@var "Z" $$unsorted)) % 0.39/0.76 (define @t28 () (@var "Y" $$unsorted)) % 0.39/0.76 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.39/0.76 (define @t30 () (tptp.ssList @t27)) % 0.39/0.76 (define @t31 () (@list @t27)) % 0.39/0.76 (define @t32 () (tptp.ssList @t28)) % 0.39/0.76 (define @t33 () (@list @t28)) % 0.39/0.76 (define @t34 () (tptp.ssItem @t12)) % 0.39/0.76 (define @t35 () (tptp.lt @t1 @t12)) % 0.39/0.76 (define @t36 () (= @t1 @t12)) % 0.39/0.76 (define @t37 () (tptp.cons @t1 @t2)) % 0.39/0.76 (define @t38 () (= @t1 @t2)) % 0.39/0.76 (define @t39 () (tptp.cons @t12 @t1)) % 0.39/0.76 (define @t40 () (= tptp.nil @t2)) % 0.39/0.76 (define @t41 () (tptp.hd @t2)) % 0.39/0.76 (define @t42 () (not @t40)) % 0.39/0.76 (define @t43 () (tptp.tl @t2)) % 0.39/0.76 (define @t44 () (tptp.app @t2 @t1)) % 0.39/0.76 (define @t45 () (tptp.app @t1 @t2)) % 0.39/0.76 (define @t46 () (tptp.leq @t1 @t2)) % 0.39/0.76 (define @t47 () (tptp.leq @t2 @t1)) % 0.39/0.76 (define @t48 () (tptp.geq @t2 @t1)) % 0.39/0.76 (define @t49 () (tptp.lt @t1 @t2)) % 0.39/0.76 (define @t50 () (tptp.lt @t2 @t1)) % 0.39/0.76 (define @t51 () (tptp.lt @t2 @t12)) % 0.39/0.76 (define @t52 () (tptp.gt @t2 @t1)) % 0.39/0.76 (define @t53 () (tptp.memberP @t12 @t2)) % 0.39/0.76 (define @t54 () (tptp.app @t12 @t2)) % 0.39/0.76 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.39/0.76 (define @t56 () (tptp.hd @t1)) % 0.39/0.76 (define @t57 () (= tptp.nil @t1)) % 0.39/0.76 (define @t58 () (not @t57)) % 0.39/0.76 (define @t59 () (tptp.cons @t2 @t1)) % 0.39/0.76 (define @t60 () (= @t12 @t2)) % 0.39/0.76 (define @t61 () (@var "X2" $$unsorted)) % 0.39/0.76 (define @t62 () (@var "X4" $$unsorted)) % 0.39/0.76 (define @t63 () (@var "X3" $$unsorted)) % 0.39/0.76 (define @t64 () (not (tptp.memberP @t63 @t61))) % 0.39/0.76 (define @t65 () (and @t64 (not (tptp.memberP @t62 @t61)))) % 0.39/0.76 (define @t66 () (tptp.cons @t61 tptp.nil)) % 0.39/0.76 (define @t67 () (tptp.app @t63 @t66)) % 0.39/0.76 (define @t68 () (tptp.app @t67 @t62)) % 0.39/0.76 (define @t69 () (not (= @t68 @t2))) % 0.39/0.76 (define @t70 () (or @t69 @t65)) % 0.39/0.76 (define @t71 () (tptp.ssList @t62)) % 0.39/0.76 (define @t72 () (=> @t71 @t70)) % 0.39/0.76 (define @t73 () (@list @t62)) % 0.39/0.76 (define @t74 () (forall @t73 @t72)) % 0.39/0.76 (define @t75 () (tptp.ssList @t63)) % 0.39/0.76 (define @t76 () (=> @t75 @t74)) % 0.39/0.76 (define @t77 () (@list @t63)) % 0.39/0.76 (define @t78 () (forall @t77 @t76)) % 0.39/0.76 (define @t79 () (tptp.ssItem @t61)) % 0.39/0.76 (define @t80 () (=> @t79 @t78)) % 0.39/0.76 (define @t81 () (@list @t61)) % 0.39/0.76 (define @t82 () (forall @t81 @t80)) % 0.39/0.76 (define @t83 () (@var "X1" $$unsorted)) % 0.39/0.76 (define @t84 () (tptp.memberP @t83 @t28)) % 0.39/0.76 (define @t85 () (tptp.memberP @t27 @t28)) % 0.39/0.76 (define @t86 () (or @t85 @t84)) % 0.39/0.76 (define @t87 () (tptp.cons @t28 tptp.nil)) % 0.39/0.76 (define @t88 () (tptp.app @t27 @t87)) % 0.39/0.76 (define @t89 () (tptp.app @t88 @t83)) % 0.39/0.76 (define @t90 () (tptp.ssList @t83)) % 0.39/0.76 (define @t91 () (and @t90 (= @t89 @t12) @t86)) % 0.39/0.76 (define @t92 () (@list @t83)) % 0.39/0.76 (define @t93 () (exists @t92 @t91)) % 0.39/0.76 (define @t94 () (and @t30 @t93)) % 0.39/0.76 (define @t95 () (exists @t31 @t94)) % 0.39/0.76 (define @t96 () (tptp.ssItem @t28)) % 0.39/0.76 (define @t97 () (and @t96 @t95)) % 0.39/0.76 (define @t98 () (exists @t33 @t97)) % 0.39/0.76 (define @t99 () (not (= @t2 @t12))) % 0.39/0.76 (define @t100 () (not (= @t1 @t10))) % 0.39/0.76 (define @t101 () (or @t100 @t99 @t98 @t82)) % 0.39/0.76 (define @t102 () (=> @t13 @t101)) % 0.39/0.76 (define @t103 () (forall @t14 @t102)) % 0.39/0.76 (define @t104 () (=> @t15 @t103)) % 0.39/0.76 (define @t105 () (forall @t16 @t104)) % 0.39/0.76 (define @t106 () (=> @t21 @t105)) % 0.39/0.76 (define @t107 () (forall @t7 @t106)) % 0.39/0.76 (define @t108 () (=> @t17 @t107)) % 0.39/0.76 (define @t109 () (forall @t9 @t108)) % 0.39/0.76 (define @t110 () (not @t109)) % 0.39/0.76 (define @t111 () (@var "BOUND_VARIABLE_11124" $$unsorted)) % 0.39/0.76 (define @t112 () (@var "BOUND_VARIABLE_11128" $$unsorted)) % 0.39/0.76 (define @t113 () (@var "BOUND_VARIABLE_11126" $$unsorted)) % 0.39/0.76 (define @t114 () (and (not (tptp.memberP @t113 @t111)) (not (tptp.memberP @t112 @t111)))) % 0.39/0.76 (define @t115 () (not (tptp.ssList @t112))) % 0.39/0.76 (define @t116 () (not (tptp.ssList @t113))) % 0.39/0.76 (define @t117 () (not (tptp.ssItem @t111))) % 0.39/0.76 (define @t118 () (@var "BOUND_VARIABLE_11002" $$unsorted)) % 0.39/0.76 (define @t119 () (@var "BOUND_VARIABLE_11000" $$unsorted)) % 0.39/0.76 (define @t120 () (and (not (tptp.memberP @t119 @t28)) (not (tptp.memberP @t118 @t28)))) % 0.39/0.76 (define @t121 () (tptp.app (tptp.app @t113 (tptp.cons @t111 tptp.nil)) @t112)) % 0.39/0.76 (define @t122 () (tptp.app (tptp.app @t119 @t87) @t118)) % 0.39/0.76 (define @t123 () (not (tptp.ssList @t118))) % 0.39/0.76 (define @t124 () (not (tptp.ssList @t119))) % 0.39/0.76 (define @t125 () (not @t96)) % 0.39/0.76 (define @t126 () (@list @t28 @t119 @t118)) % 0.39/0.76 (define @t127 () (not (forall @t126 (or @t125 @t124 @t123 (not (= @t122 @t121)) @t120)))) % 0.39/0.76 (define @t128 () (not (tptp.ssList @t121))) % 0.39/0.76 (define @t129 () (or @t128 @t127 @t117 @t116 @t115 @t114)) % 0.39/0.76 (define @t130 () (not (= @t121 @t121))) % 0.39/0.76 (define @t131 () (not (= @t121 @t122))) % 0.39/0.76 (define @t132 () (or @t125 @t124 @t123 @t131 @t120)) % 0.39/0.76 (define @t133 () (forall @t126 @t132)) % 0.39/0.76 (define @t134 () (not @t133)) % 0.39/0.76 (define @t135 () (or @t128 @t134 @t117 @t116 @t115 @t130 @t114)) % 0.39/0.76 (define @t136 () (@list @t111 @t113 @t112)) % 0.39/0.76 (define @t137 () (not (= @t2 @t121))) % 0.39/0.76 (define @t138 () (not (forall @t126 (or @t125 @t124 @t123 (not (= @t2 @t122)) @t120)))) % 0.39/0.76 (define @t139 () (not @t17)) % 0.39/0.76 (define @t140 () (or @t137 @t139 @t138 @t117 @t116 @t115 @t137 @t114)) % 0.39/0.76 (define @t141 () (or @t139 @t138 @t117 @t116 @t115 @t137 @t114)) % 0.39/0.76 (define @t142 () (forall @t9 @t141)) % 0.39/0.76 (define @t143 () (forall @t136 @t142)) % 0.39/0.76 (define @t144 () (forall (@list @t111 @t113 @t112 @t2) @t141)) % 0.39/0.76 (define @t145 () (@list @t2 @t111 @t113 @t112)) % 0.39/0.76 (define @t146 () (or @t117 @t116 @t115 @t137 @t114)) % 0.39/0.76 (define @t147 () (or @t139 @t146 @t138)) % 0.39/0.76 (define @t148 () (forall @t145 @t147)) % 0.39/0.76 (define @t149 () (forall @t136 @t147)) % 0.39/0.76 (define @t150 () (forall @t136 @t146)) % 0.39/0.76 (define @t151 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 0.39/0.76 (define @t152 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 0.39/0.76 (define @t153 () (or @t139 @t150 @t138)) % 0.39/0.76 (define @t154 () (and (not (tptp.memberP @t152 @t61)) (not (tptp.memberP @t151 @t61)))) % 0.39/0.76 (define @t155 () (not (= @t2 (tptp.app (tptp.app @t152 @t66) @t151)))) % 0.39/0.76 (define @t156 () (not (tptp.ssList @t151))) % 0.39/0.76 (define @t157 () (not (tptp.ssList @t152))) % 0.39/0.76 (define @t158 () (not @t79)) % 0.39/0.76 (define @t159 () (or @t158 @t157 @t156 @t155 @t154)) % 0.39/0.76 (define @t160 () (@list @t61 @t152 @t151)) % 0.39/0.76 (define @t161 () (forall @t160 @t159)) % 0.39/0.76 (define @t162 () (or @t139 @t161 @t138)) % 0.39/0.76 (define @t163 () (forall @t9 @t162)) % 0.39/0.76 (define @t164 () (not @t21)) % 0.39/0.76 (define @t165 () (forall @t7 @t164)) % 0.39/0.76 (define @t166 () (or @t165 @t163)) % 0.39/0.76 (define @t167 () (or @t165 @t162)) % 0.39/0.76 (define @t168 () (or @t139 @t161 @t138 @t165)) % 0.39/0.76 (define @t169 () (or @t161 @t139 @t138 @t165)) % 0.39/0.76 (define @t170 () (or @t161 @t139 @t138 @t164)) % 0.39/0.76 (define @t171 () (or @t164 @t161 @t139 @t138)) % 0.39/0.76 (define @t172 () (or @t161 @t164 @t139 @t138)) % 0.39/0.76 (define @t173 () (or @t139 @t138)) % 0.39/0.76 (define @t174 () (not (= @t2 @t2))) % 0.39/0.76 (define @t175 () (or @t139 @t174 @t138)) % 0.39/0.76 (define @t176 () (not (= @t12 @t122))) % 0.39/0.76 (define @t177 () (or @t125 @t124 @t123 @t176 @t120)) % 0.39/0.76 (define @t178 () (not (forall @t126 @t177))) % 0.39/0.76 (define @t179 () (not @t15)) % 0.39/0.76 (define @t180 () (or @t99 @t179 @t99 @t178)) % 0.39/0.76 (define @t181 () (or @t179 @t99 @t178)) % 0.39/0.76 (define @t182 () (forall @t16 @t181)) % 0.39/0.76 (define @t183 () (or @t161 @t164 @t182)) % 0.39/0.76 (define @t184 () (or @t161 @t164 @t181)) % 0.39/0.76 (define @t185 () (or @t179 @t99 @t178 @t161 @t164)) % 0.39/0.76 (define @t186 () (or @t99 @t178 @t161 @t164)) % 0.39/0.76 (define @t187 () (not (= @t1 @t1))) % 0.39/0.76 (define @t188 () (or @t164 @t187)) % 0.39/0.76 (define @t189 () (not @t13)) % 0.39/0.76 (define @t190 () (or @t100 @t189 @t100)) % 0.39/0.76 (define @t191 () (or @t189 @t100)) % 0.39/0.76 (define @t192 () (forall @t14 @t191)) % 0.39/0.76 (define @t193 () (or @t99 @t178 @t161 @t192)) % 0.39/0.76 (define @t194 () (or @t99 @t178 @t161 @t191)) % 0.39/0.76 (define @t195 () (or @t189 @t100 @t99 @t178 @t161)) % 0.39/0.76 (define @t196 () (or @t100 @t99 @t178 @t161)) % 0.39/0.76 (define @t197 () (or @t157 @t156 @t155 @t154)) % 0.39/0.76 (define @t198 () (or @t158 @t197)) % 0.39/0.76 (define @t199 () (forall @t160 @t198)) % 0.39/0.76 (define @t200 () (@list @t152 @t151)) % 0.39/0.76 (define @t201 () (forall @t200 @t198)) % 0.39/0.76 (define @t202 () (forall @t200 @t197)) % 0.39/0.76 (define @t203 () (@var "BOUND_VARIABLE_11037" $$unsorted)) % 0.39/0.76 (define @t204 () (or @t158 @t202)) % 0.39/0.76 (define @t205 () (and @t64 (not (tptp.memberP @t203 @t61)))) % 0.39/0.76 (define @t206 () (not (= @t2 (tptp.app @t67 @t203)))) % 0.39/0.76 (define @t207 () (not (tptp.ssList @t203))) % 0.39/0.76 (define @t208 () (not @t75)) % 0.39/0.76 (define @t209 () (or @t208 @t207 @t206 @t205)) % 0.39/0.76 (define @t210 () (@list @t63 @t203)) % 0.39/0.76 (define @t211 () (forall @t210 @t209)) % 0.39/0.76 (define @t212 () (or @t207 @t206 @t205)) % 0.39/0.76 (define @t213 () (or @t208 @t212)) % 0.39/0.76 (define @t214 () (forall @t210 @t213)) % 0.39/0.76 (define @t215 () (@list @t203)) % 0.39/0.76 (define @t216 () (forall @t215 @t213)) % 0.39/0.76 (define @t217 () (forall @t215 @t212)) % 0.39/0.76 (define @t218 () (or @t208 @t217)) % 0.39/0.76 (define @t219 () (not (= @t2 @t68))) % 0.39/0.76 (define @t220 () (not @t71)) % 0.39/0.76 (define @t221 () (or @t220 @t219 @t65)) % 0.39/0.76 (define @t222 () (forall @t73 @t221)) % 0.39/0.76 (define @t223 () (or @t219 @t65)) % 0.39/0.76 (define @t224 () (or @t124 @t123 @t176 @t120)) % 0.39/0.76 (define @t225 () (or @t125 @t224)) % 0.39/0.76 (define @t226 () (forall @t126 @t225)) % 0.39/0.76 (define @t227 () (@list @t119 @t118)) % 0.39/0.76 (define @t228 () (forall @t227 @t225)) % 0.39/0.76 (define @t229 () (forall @t227 @t224)) % 0.39/0.76 (define @t230 () (@var "BOUND_VARIABLE_10975" $$unsorted)) % 0.39/0.76 (define @t231 () (or @t125 @t229)) % 0.39/0.76 (define @t232 () (not @t85)) % 0.39/0.76 (define @t233 () (and @t232 (not (tptp.memberP @t230 @t28)))) % 0.39/0.76 (define @t234 () (not (= @t12 (tptp.app @t88 @t230)))) % 0.39/0.76 (define @t235 () (not (tptp.ssList @t230))) % 0.39/0.76 (define @t236 () (not @t30)) % 0.39/0.76 (define @t237 () (or @t236 @t235 @t234 @t233)) % 0.39/0.76 (define @t238 () (@list @t27 @t230)) % 0.39/0.76 (define @t239 () (forall @t238 @t237)) % 0.39/0.76 (define @t240 () (not @t239)) % 0.39/0.76 (define @t241 () (and @t96 @t240)) % 0.39/0.76 (define @t242 () (forall @t33 (not @t241))) % 0.39/0.76 (define @t243 () (not @t242)) % 0.39/0.76 (define @t244 () (or @t235 @t234 @t233)) % 0.39/0.76 (define @t245 () (or @t236 @t244)) % 0.39/0.76 (define @t246 () (forall @t238 @t245)) % 0.39/0.76 (define @t247 () (@list @t230)) % 0.39/0.76 (define @t248 () (forall @t247 @t245)) % 0.39/0.76 (define @t249 () (forall @t247 @t244)) % 0.39/0.76 (define @t250 () (or @t236 @t249)) % 0.39/0.76 (define @t251 () (= @t12 @t89)) % 0.39/0.76 (define @t252 () (not @t251)) % 0.39/0.76 (define @t253 () (not @t90)) % 0.39/0.76 (define @t254 () (forall @t92 (or @t253 @t252 (and @t232 (not @t84))))) % 0.39/0.76 (define @t255 () (not @t254)) % 0.39/0.76 (define @t256 () (and @t30 @t255)) % 0.39/0.76 (define @t257 () (forall @t31 (not @t256))) % 0.39/0.76 (define @t258 () (not @t257)) % 0.39/0.76 (define @t259 () (not @t86)) % 0.39/0.76 (define @t260 () (or @t253 @t252 @t259)) % 0.39/0.76 (define @t261 () (and @t90 @t251 @t86)) % 0.39/0.76 (define @t262 () (forall @t92 (not @t261))) % 0.39/0.76 (define @t263 () (not @t262)) % 0.39/0.76 (define @t264 () (forall @t136 @t129)) % 0.39/0.76 (define @t265 () (@quantifiers_skolemize @t264 2)) % 0.39/0.76 (define @t266 () (@quantifiers_skolemize @t264 0)) % 0.39/0.76 (define @t267 () (@quantifiers_skolemize @t264 1)) % 0.39/0.76 (define @t268 () (tptp.app (tptp.app @t267 (tptp.cons @t266 tptp.nil)) @t265)) % 0.39/0.76 (define @t269 () (forall @t126 (or @t125 @t124 @t123 (not (= @t122 @t268)) @t120))) % 0.39/0.76 (define @t270 () (and (not (tptp.memberP @t267 @t266)) (not (tptp.memberP @t265 @t266)))) % 0.39/0.76 (define @t271 () (tptp.ssList @t265)) % 0.39/0.76 (define @t272 () (not @t271)) % 0.39/0.76 (define @t273 () (tptp.ssList @t267)) % 0.39/0.76 (define @t274 () (not @t273)) % 0.39/0.76 (define @t275 () (tptp.ssItem @t266)) % 0.39/0.76 (define @t276 () (not @t275)) % 0.39/0.76 (define @t277 () (not @t269)) % 0.39/0.76 (define @t278 () (or (not (tptp.ssList @t268)) @t277 @t276 @t274 @t272 @t270)) % 0.39/0.76 (define @t279 () (@list true)) % 0.39/0.76 (define @t280 () (@list @t278)) % 0.39/0.76 (define @t281 () (or @t276 @t274 @t272 @t270)) % 0.39/0.76 (define @t282 () (not @t281)) % 0.39/0.76 (define @t283 () (not (= @t268 @t268))) % 0.39/0.76 (define @t284 () (or @t276 @t274 @t272 @t283 @t270)) % 0.39/0.76 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.39/0.76 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.39/0.76 (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))))))))))) % 0.39/0.76 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.39/0.76 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.39/0.76 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.39/0.76 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.39/0.76 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.39/0.76 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.39/0.76 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.39/0.76 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.39/0.76 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.39/0.76 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.39/0.76 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.39/0.76 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.39/0.76 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.39/0.76 (assume @p17 (tptp.ssList tptp.nil)) % 0.39/0.76 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.39/0.76 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t38))))))))))) % 0.39/0.76 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.39/0.76 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.39/0.76 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.39/0.76 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.39/0.76 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.39/0.76 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.39/0.76 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.39/0.76 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.39/0.76 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.39/0.76 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.39/0.76 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.39/0.76 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.39/0.76 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.39/0.76 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.39/0.76 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.39/0.76 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.39/0.76 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.39/0.76 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.39/0.76 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.39/0.76 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.39/0.76 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.39/0.76 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.39/0.76 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.39/0.76 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.39/0.76 (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)))))))))))) % 0.39/0.76 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.39/0.76 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.39/0.76 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.39/0.76 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.39/0.76 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.39/0.76 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.39/0.76 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.39/0.76 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.39/0.76 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.39/0.76 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.39/0.76 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.39/0.76 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.39/0.76 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.39/0.76 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.39/0.76 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.39/0.76 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.39/0.76 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.39/0.76 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.39/0.76 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.39/0.76 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.39/0.76 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.39/0.76 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.39/0.76 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.39/0.76 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.39/0.76 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.39/0.76 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 0.39/0.76 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 0.39/0.76 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.39/0.76 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 0.39/0.76 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.39/0.76 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.39/0.76 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.39/0.76 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.39/0.76 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.39/0.76 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 0.39/0.76 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 0.39/0.76 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.39/0.76 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.39/0.76 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 0.39/0.76 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.39/0.76 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.39/0.76 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.39/0.76 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.39/0.76 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.39/0.76 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.39/0.76 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.39/0.76 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.39/0.76 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.39/0.76 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.39/0.76 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.39/0.76 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.39/0.76 (assume @p96 @t110) % 0.39/0.76 (assume @p97 true) % 0.39/0.76 (step @p98 :rule aci_norm :args ((= (or @t128 @t127 @t117 @t116 @t115 false @t114) @t129))) % 0.39/0.76 (step @p99 :rule refl :args (@t114)) % 0.39/0.76 (step @p100 :rule evaluate :args ((not true))) % 0.39/0.76 (step @p101 :rule eq-refl :args (@t121)) % 0.39/0.76 (step @p102 :rule cong :premises (@p101) :args (@t130)) % 0.39/0.76 (step @p103 :rule trans :premises (@p102 @p100)) % 0.39/0.76 (step @p104 :rule refl :args (@t115)) % 0.39/0.76 (step @p105 :rule refl :args (@t116)) % 0.39/0.76 (step @p106 :rule refl :args (@t117)) % 0.39/0.76 (step @p107 :rule refl :args (@t120)) % 0.39/0.76 (step @p108 :rule eq-symm :args (@t121 @t122)) % 0.39/0.76 (step @p109 :rule cong :premises (@p108) :args (@t131)) % 0.39/0.76 (step @p110 :rule refl :args (@t123)) % 0.39/0.76 (step @p111 :rule refl :args (@t124)) % 0.39/0.76 (step @p112 :rule refl :args (@t125)) % 0.39/0.76 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109 @p107) :args (@t132)) % 0.39/0.76 (step @p114 :rule cong :premises (@p113) :args (@t133)) % 0.39/0.77 (step @p115 :rule cong :premises (@p114) :args (@t134)) % 0.39/0.77 (step @p116 :rule refl :args (@t128)) % 0.39/0.77 (step @p117 :rule nary_cong :premises (@p116 @p115 @p106 @p105 @p104 @p103 @p99) :args (@t135)) % 0.39/0.77 (step @p118 :rule trans :premises (@p117 @p98)) % 0.39/0.77 (step @p119 :rule cong :premises (@p118) :args ((forall @t136 @t135))) % 0.39/0.77 (step @p120 :rule quant-var-elim-eq :args ((= (forall @t9 @t140) @t135))) % 0.39/0.77 (step @p121 :rule aci_norm :args ((= @t141 @t140))) % 0.39/0.77 (step @p122 :rule cong :premises (@p121) :args (@t142)) % 0.39/0.77 (step @p123 :rule trans :premises (@p122 @p120)) % 0.39/0.77 (step 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:args (@t251 @t86 true)) % 0.39/0.77 (step @p328 :rule nary_cong :premises (@p324 @p327) :args ((or @t253 (not (and @t251 @t86))))) % 0.39/0.77 (step @p329 :rule bool-and-de-morgan :args (@t90 @t251 (and @t86))) % 0.39/0.77 (step @p330 :rule trans :premises (@p329 @p328)) % 0.39/0.77 (step @p331 :rule trans :premises (@p330 @p326)) % 0.39/0.77 (step @p332 :rule trans :premises (@p331 @p325)) % 0.39/0.77 (step @p333 :rule cong :premises (@p332) :args (@t262)) % 0.39/0.77 (step @p334 :rule cong :premises (@p333) :args (@t263)) % 0.39/0.77 (step @p335 :rule exists-elim :args ((= (exists @t92 @t261) @t263))) % 0.39/0.77 (step @p336 :rule trans :premises (@p335 @p334)) % 0.39/0.77 (step @p337 :rule refl :args (@t86)) % 0.39/0.77 (step @p338 :rule eq-symm :args (@t89 @t12)) % 0.39/0.77 (step @p339 :rule refl :args (@t90)) % 0.39/0.77 (step @p340 :rule nary_cong :premises (@p339 @p338 @p337) :args (@t91)) % 0.39/0.77 (step @p341 :rule cong :premises (@p340) :args (@t93)) % 0.39/0.77 (step @p342 :rule trans :premises (@p341 @p336)) % 0.39/0.77 (step @p343 :rule refl :args (@t30)) % 0.39/0.77 (step @p344 :rule nary_cong :premises (@p343 @p342) :args (@t94)) % 0.39/0.77 (step @p345 :rule cong :premises (@p344) :args (@t95)) % 0.39/0.77 (step @p346 :rule trans :premises (@p345 @p321)) % 0.39/0.77 (step @p347 :rule refl :args (@t96)) % 0.39/0.77 (step @p348 :rule nary_cong :premises (@p347 @p346) :args (@t97)) % 0.39/0.77 (step @p349 :rule cong :premises (@p348) :args (@t98)) % 0.39/0.77 (step @p350 :rule trans :premises (@p349 @p300)) % 0.39/0.77 (step @p351 :rule refl :args (@t100)) % 0.39/0.77 (step @p352 :rule nary_cong :premises (@p351 @p218 @p350 @p279) :args (@t101)) % 0.39/0.77 (step @p353 :rule refl :args (@t13)) % 0.39/0.77 (step @p354 :rule cong :premises (@p353 @p352) :args (@t102)) % 0.39/0.77 (step @p355 :rule cong :premises (@p354) :args (@t103)) % 0.39/0.77 (step @p356 :rule trans :premises (@p355 @p229)) % 0.39/0.77 (step @p357 :rule refl :args (@t15)) % 0.39/0.77 (step @p358 :rule cong :premises (@p357 @p356) :args (@t104)) % 0.39/0.77 (step @p359 :rule cong :premises (@p358) :args (@t105)) % 0.39/0.77 (step @p360 :rule trans :premises (@p359 @p199)) % 0.39/0.77 (step @p361 :rule refl :args (@t21)) % 0.39/0.77 (step @p362 :rule cong :premises (@p361 @p360) :args (@t106)) % 0.39/0.77 (step @p363 :rule cong :premises (@p362) :args (@t107)) % 0.39/0.77 (step @p364 :rule trans :premises (@p363 @p164)) % 0.39/0.77 (step @p365 :rule refl :args (@t17)) % 0.39/0.77 (step @p366 :rule cong :premises (@p365 @p364) :args (@t108)) % 0.39/0.77 (step @p367 :rule cong :premises (@p366) :args (@t109)) % 0.39/0.77 (step @p368 :rule trans :premises (@p367 @p155)) % 0.39/0.77 (step @p369 :rule cong :premises (@p368) :args (@t110)) % 0.39/0.77 (step @p370 :rule eq_resolve :premises (@p96 @p369)) % 0.39/0.77 (step @p371 :rule not_or_elim :premises (@p370) :args (1)) % 0.39/0.77 (step @p372 :rule skolemize :premises (@p371)) % 0.39/0.77 (step @p373 :rule bool-double-not-elim :args (@t269)) % 0.39/0.77 (step @p374 :rule refl :args (@t278)) % 0.39/0.77 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or @t278 (not @t277)))) % 0.39/0.77 (step @p376 :rule cnf_or_neg :args (@t278 1)) % 0.39/0.77 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 0.39/0.77 (step @p378 :rule reordering :premises (@p377) :args ((or @t269 @t278))) % 0.39/0.77 (step @p379 :rule chain_m_resolution :premises (@p378 @p372) :args (@t269 @t279 @t280)) % 0.39/0.77 (step @p380 :rule cnf_or_neg :args (@t278 5)) % 0.39/0.77 (step @p381 :rule chain_m_resolution :premises (@p380 @p372) :args ((not @t270) @t279 @t280)) % 0.39/0.77 (step @p382 :rule bool-double-not-elim :args (@t271)) % 0.39/0.77 (step @p383 :rule nary_cong :premises (@p374 @p382) :args ((or @t278 (not @t272)))) % 0.39/0.77 (step @p384 :rule cnf_or_neg :args (@t278 4)) % 0.39/0.77 (step @p385 :rule eq_resolve :premises (@p384 @p383)) % 0.39/0.77 (step @p386 :rule reordering :premises (@p385) :args ((or @t271 @t278))) % 0.39/0.77 (step @p387 :rule chain_m_resolution :premises (@p386 @p372) :args (@t271 @t279 @t280)) % 0.39/0.77 (step @p388 :rule bool-double-not-elim :args (@t273)) % 0.39/0.77 (step @p389 :rule nary_cong :premises (@p374 @p388) :args ((or @t278 (not @t274)))) % 0.39/0.77 (step @p390 :rule cnf_or_neg :args (@t278 3)) % 0.39/0.77 (step @p391 :rule eq_resolve :premises (@p390 @p389)) % 0.39/0.77 (step @p392 :rule reordering :premises (@p391) :args ((or @t273 @t278))) % 0.39/0.77 (step @p393 :rule chain_m_resolution :premises (@p392 @p372) :args (@t273 @t279 @t280)) % 0.39/0.77 (step @p394 :rule bool-double-not-elim :args (@t275)) % 0.39/0.77 (step @p395 :rule nary_cong :premises (@p374 @p394) :args ((or @t278 (not @t276)))) % 0.39/0.77 (step @p396 :rule cnf_or_neg :args (@t278 2)) % 0.39/0.77 (step @p397 :rule eq_resolve :premises (@p396 @p395)) % 0.39/0.77 (step @p398 :rule reordering :premises (@p397) :args ((or @t275 @t278))) % 0.39/0.77 (step @p399 :rule chain_m_resolution :premises (@p398 @p372) :args (@t275 @t279 @t280)) % 0.39/0.77 (step @p400 :rule cnf_or_pos :args (@t281)) % 0.39/0.77 (step @p401 :rule reordering :premises (@p400) :args ((or @t276 @t274 @t272 @t270 @t282))) % 0.39/0.77 (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p393 @p387 @p381) :args (@t282 (@list false false false true) (@list @t275 @t273 @t271 @t270))) % 0.39/0.77 (step @p403 :rule aci_norm :args ((= (or @t276 @t274 @t272 false @t270) @t281))) % 0.39/0.77 (step @p404 :rule refl :args (@t270)) % 0.39/0.77 (step @p405 :rule eq-refl :args (@t268)) % 0.39/0.77 (step @p406 :rule cong :premises (@p405) :args (@t283)) % 0.39/0.77 (step @p407 :rule trans :premises (@p406 @p100)) % 0.39/0.77 (step @p408 :rule refl :args (@t272)) % 0.39/0.77 (step @p409 :rule refl :args (@t274)) % 0.39/0.77 (step @p410 :rule refl :args (@t276)) % 0.39/0.77 (step @p411 :rule nary_cong :premises (@p410 @p409 @p408 @p407 @p404) :args (@t284)) % 0.39/0.77 (step @p412 :rule trans :premises (@p411 @p403)) % 0.39/0.77 (step @p413 :rule refl :args (@t269)) % 0.39/0.77 (step @p414 :rule cong :premises (@p413 @p412) :args ((=> @t269 @t284))) % 0.39/0.77 (assume-push @p422 @t269) % 0.39/0.77 (step @p416 :rule instantiate :premises (@p379) :args ((@list @t266 @t267 @t265))) % 0.39/0.77 (step-pop @p423 :rule scope :premises (@p416)) % 0.39/0.77 (step @p417 :rule process_scope :premises (@p423) :args (@t284)) % 0.39/0.77 (step @p419 :rule eq_resolve :premises (@p417 @p414)) % 0.39/0.77 (step @p420 :rule implies_elim :premises (@p419)) % 0.39/0.77 (step @p421 false :rule chain_m_resolution :premises (@p420 @p402 @p379) :args (false (@list true false) (@list @t281 @t269))) % 0.39/0.77 ) % 0.39/0.77 % SZS output end Proof % 0.39/0.77 % cvc5 exiting %------------------------------------------------------------------------------