%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC264+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 08:58:39 AM UTC 2026 % Result : Theorem 0.84s 1.03s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC264+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 % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:34:22 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.84/1.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.84/1.03 % SZS status Theorem % 0.84/1.03 % SZS output start Proof % 0.84/1.03 ( % 0.84/1.03 (declare-sort $$unsorted 0) % 0.84/1.03 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.84/1.03 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.84/1.03 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.03 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.03 (declare-const tptp.nil $$unsorted) % 0.84/1.03 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.84/1.03 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.84/1.03 (define @t1 () (@var "V" $$unsorted)) % 0.84/1.03 (define @t2 () (@var "U" $$unsorted)) % 0.84/1.03 (define @t3 () (= @t2 @t1)) % 0.84/1.03 (define @t4 () (not @t3)) % 0.84/1.03 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.84/1.03 (define @t6 () (tptp.ssItem @t1)) % 0.84/1.03 (define @t7 () (@list @t1)) % 0.84/1.03 (define @t8 () (tptp.ssItem @t2)) % 0.84/1.03 (define @t9 () (@list @t2)) % 0.84/1.03 (define @t10 () (@var "X" $$unsorted)) % 0.84/1.03 (define @t11 () (tptp.cons @t1 @t10)) % 0.84/1.03 (define @t12 () (@var "W" $$unsorted)) % 0.84/1.03 (define @t13 () (tptp.ssList @t10)) % 0.84/1.03 (define @t14 () (@list @t10)) % 0.84/1.03 (define @t15 () (tptp.ssList @t12)) % 0.84/1.03 (define @t16 () (@list @t12)) % 0.84/1.03 (define @t17 () (tptp.ssList @t2)) % 0.84/1.03 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.84/1.03 (define @t19 () (tptp.app @t1 @t12)) % 0.84/1.03 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.84/1.03 (define @t21 () (tptp.ssList @t1)) % 0.84/1.03 (define @t22 () (tptp.app @t12 @t1)) % 0.84/1.03 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.84/1.03 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.84/1.03 (define @t25 () (tptp.leq @t12 @t1)) % 0.84/1.03 (define @t26 () (tptp.leq @t1 @t12)) % 0.84/1.03 (define @t27 () (@var "Z" $$unsorted)) % 0.84/1.03 (define @t28 () (@var "Y" $$unsorted)) % 0.84/1.03 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 0.84/1.03 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 0.84/1.03 (define @t31 () (= @t30 @t2)) % 0.84/1.03 (define @t32 () (tptp.ssList @t27)) % 0.84/1.03 (define @t33 () (@list @t27)) % 0.84/1.03 (define @t34 () (tptp.ssList @t28)) % 0.84/1.03 (define @t35 () (@list @t28)) % 0.84/1.03 (define @t36 () (tptp.ssItem @t12)) % 0.84/1.03 (define @t37 () (tptp.lt @t1 @t12)) % 0.84/1.03 (define @t38 () (=> @t31 @t26)) % 0.84/1.03 (define @t39 () (=> @t32 @t38)) % 0.84/1.03 (define @t40 () (forall @t33 @t39)) % 0.84/1.03 (define @t41 () (=> @t34 @t40)) % 0.84/1.03 (define @t42 () (forall @t35 @t41)) % 0.84/1.03 (define @t43 () (=> @t13 @t42)) % 0.84/1.03 (define @t44 () (forall @t14 @t43)) % 0.84/1.03 (define @t45 () (=> @t36 @t44)) % 0.84/1.03 (define @t46 () (forall @t16 @t45)) % 0.84/1.03 (define @t47 () (=> @t6 @t46)) % 0.84/1.03 (define @t48 () (forall @t7 @t47)) % 0.84/1.03 (define @t49 () (tptp.totalorderedP @t2)) % 0.84/1.03 (define @t50 () (= @t49 @t48)) % 0.84/1.03 (define @t51 () (=> @t17 @t50)) % 0.84/1.03 (define @t52 () (forall @t9 @t51)) % 0.84/1.03 (define @t53 () (=> @t31 @t37)) % 0.84/1.03 (define @t54 () (=> @t32 @t53)) % 0.84/1.03 (define @t55 () (forall @t33 @t54)) % 0.84/1.03 (define @t56 () (=> @t34 @t55)) % 0.84/1.03 (define @t57 () (forall @t35 @t56)) % 0.84/1.03 (define @t58 () (=> @t13 @t57)) % 0.84/1.03 (define @t59 () (forall @t14 @t58)) % 0.84/1.03 (define @t60 () (=> @t36 @t59)) % 0.84/1.03 (define @t61 () (forall @t16 @t60)) % 0.84/1.03 (define @t62 () (=> @t6 @t61)) % 0.84/1.03 (define @t63 () (forall @t7 @t62)) % 0.84/1.03 (define @t64 () (tptp.strictorderedP @t2)) % 0.84/1.03 (define @t65 () (= @t64 @t63)) % 0.84/1.03 (define @t66 () (=> @t17 @t65)) % 0.84/1.03 (define @t67 () (forall @t9 @t66)) % 0.84/1.03 (define @t68 () (= @t1 @t12)) % 0.84/1.03 (define @t69 () (tptp.cons @t1 @t2)) % 0.84/1.03 (define @t70 () (= @t1 @t2)) % 0.84/1.03 (define @t71 () (tptp.cons @t12 @t1)) % 0.84/1.03 (define @t72 () (= tptp.nil @t2)) % 0.84/1.03 (define @t73 () (tptp.hd @t2)) % 0.84/1.03 (define @t74 () (not @t72)) % 0.84/1.03 (define @t75 () (tptp.tl @t2)) % 0.84/1.03 (define @t76 () (tptp.app @t2 @t1)) % 0.84/1.03 (define @t77 () (tptp.app @t1 @t2)) % 0.84/1.03 (define @t78 () (tptp.leq @t1 @t2)) % 0.84/1.03 (define @t79 () (tptp.leq @t2 @t1)) % 0.84/1.03 (define @t80 () (tptp.geq @t2 @t1)) % 0.84/1.03 (define @t81 () (tptp.lt @t1 @t2)) % 0.84/1.03 (define @t82 () (tptp.lt @t2 @t1)) % 0.84/1.03 (define @t83 () (tptp.lt @t2 @t12)) % 0.84/1.03 (define @t84 () (tptp.gt @t2 @t1)) % 0.84/1.03 (define @t85 () (tptp.memberP @t12 @t2)) % 0.84/1.03 (define @t86 () (tptp.app @t12 @t2)) % 0.84/1.03 (define @t87 () (tptp.cons @t2 tptp.nil)) % 0.84/1.03 (define @t88 () (tptp.hd @t1)) % 0.84/1.03 (define @t89 () (= tptp.nil @t1)) % 0.84/1.03 (define @t90 () (not @t89)) % 0.84/1.03 (define @t91 () (tptp.cons @t2 @t1)) % 0.84/1.03 (define @t92 () (= @t12 @t2)) % 0.84/1.03 (define @t93 () (= @t82 (and @t4 @t79))) % 0.84/1.03 (define @t94 () (forall @t7 (=> @t6 @t93))) % 0.84/1.03 (define @t95 () (=> @t8 @t94)) % 0.84/1.03 (define @t96 () (forall @t9 @t95)) % 0.84/1.03 (define @t97 () (not (tptp.strictorderedP @t12))) % 0.84/1.03 (define @t98 () (not (= @t2 @t12))) % 0.84/1.03 (define @t99 () (not (= @t1 @t10))) % 0.84/1.03 (define @t100 () (not @t13)) % 0.84/1.03 (define @t101 () (or @t100 @t99 @t98 @t97 @t49)) % 0.84/1.03 (define @t102 () (forall @t14 @t101)) % 0.84/1.03 (define @t103 () (=> @t15 @t102)) % 0.84/1.03 (define @t104 () (forall @t16 @t103)) % 0.84/1.03 (define @t105 () (=> @t21 @t104)) % 0.84/1.03 (define @t106 () (forall @t7 @t105)) % 0.84/1.03 (define @t107 () (=> @t17 @t106)) % 0.84/1.03 (define @t108 () (forall @t9 @t107)) % 0.84/1.03 (define @t109 () (not @t108)) % 0.84/1.03 (define @t110 () (@var "BOUND_VARIABLE_8781" $$unsorted)) % 0.84/1.03 (define @t111 () (@var "BOUND_VARIABLE_8775" $$unsorted)) % 0.84/1.03 (define @t112 () (@var "BOUND_VARIABLE_8779" $$unsorted)) % 0.84/1.03 (define @t113 () (@var "BOUND_VARIABLE_8777" $$unsorted)) % 0.84/1.03 (define @t114 () (tptp.app (tptp.app @t113 (tptp.cons @t1 @t112)) (tptp.cons @t111 @t110))) % 0.84/1.03 (define @t115 () (not (= @t2 @t114))) % 0.84/1.03 (define @t116 () (not (tptp.ssList @t110))) % 0.84/1.03 (define @t117 () (not (tptp.ssList @t112))) % 0.84/1.03 (define @t118 () (not (tptp.ssList @t113))) % 0.84/1.03 (define @t119 () (tptp.leq @t1 @t111)) % 0.84/1.03 (define @t120 () (not (tptp.ssItem @t111))) % 0.84/1.03 (define @t121 () (not @t6)) % 0.84/1.03 (define @t122 () (or @t121 @t120 @t119 @t118 @t117 @t116 @t115)) % 0.84/1.03 (define @t123 () (@list @t1 @t111 @t113 @t112 @t110)) % 0.84/1.03 (define @t124 () (= @t49 (forall @t123 @t122))) % 0.84/1.03 (define @t125 () (or @t120 @t119 @t118 @t117 @t116 @t115)) % 0.84/1.03 (define @t126 () (or @t121 @t125)) % 0.84/1.03 (define @t127 () (forall @t123 @t126)) % 0.84/1.03 (define @t128 () (@list @t111 @t113 @t112 @t110)) % 0.84/1.03 (define @t129 () (forall @t128 @t126)) % 0.84/1.03 (define @t130 () (forall @t128 @t125)) % 0.84/1.03 (define @t131 () (@var "BOUND_VARIABLE_8751" $$unsorted)) % 0.84/1.03 (define @t132 () (@var "BOUND_VARIABLE_8749" $$unsorted)) % 0.84/1.03 (define @t133 () (@var "BOUND_VARIABLE_8747" $$unsorted)) % 0.84/1.03 (define @t134 () (or @t121 @t130)) % 0.84/1.03 (define @t135 () (not (= @t2 (tptp.app (tptp.app @t133 (tptp.cons @t1 @t132)) (tptp.cons @t12 @t131))))) % 0.84/1.03 (define @t136 () (not (tptp.ssList @t131))) % 0.84/1.03 (define @t137 () (not (tptp.ssList @t132))) % 0.84/1.03 (define @t138 () (not (tptp.ssList @t133))) % 0.84/1.03 (define @t139 () (not @t36)) % 0.84/1.03 (define @t140 () (or @t139 @t26 @t138 @t137 @t136 @t135)) % 0.84/1.03 (define @t141 () (@list @t12 @t133 @t132 @t131)) % 0.84/1.03 (define @t142 () (forall @t141 @t140)) % 0.84/1.03 (define @t143 () (or @t138 @t137 @t136 @t135)) % 0.84/1.03 (define @t144 () (or @t139 @t26 @t143)) % 0.84/1.03 (define @t145 () (forall @t141 @t144)) % 0.84/1.03 (define @t146 () (@list @t133 @t132 @t131)) % 0.84/1.03 (define @t147 () (forall @t146 @t144)) % 0.84/1.03 (define @t148 () (forall @t146 @t143)) % 0.84/1.03 (define @t149 () (@var "BOUND_VARIABLE_8460" $$unsorted)) % 0.84/1.03 (define @t150 () (@var "BOUND_VARIABLE_8458" $$unsorted)) % 0.84/1.03 (define @t151 () (@list @t10 @t150 @t149)) % 0.84/1.03 (define @t152 () (or @t139 @t26 @t148)) % 0.84/1.03 (define @t153 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t150)) (tptp.cons @t12 @t149))))) % 0.84/1.03 (define @t154 () (not (tptp.ssList @t149))) % 0.84/1.03 (define @t155 () (not (tptp.ssList @t150))) % 0.84/1.03 (define @t156 () (or @t100 @t155 @t154 @t153)) % 0.84/1.03 (define @t157 () (@list @t10 @t150 @t149)) % 0.84/1.03 (define @t158 () (forall @t157 @t156)) % 0.84/1.03 (define @t159 () (or @t139 @t26 @t158)) % 0.84/1.03 (define @t160 () (or @t26 @t158)) % 0.84/1.03 (define @t161 () (or @t155 @t154 @t153)) % 0.84/1.03 (define @t162 () (or @t100 @t161)) % 0.84/1.03 (define @t163 () (forall @t157 @t162)) % 0.84/1.03 (define @t164 () (@list @t150 @t149)) % 0.84/1.03 (define @t165 () (forall @t164 @t162)) % 0.84/1.03 (define @t166 () (forall @t164 @t161)) % 0.84/1.03 (define @t167 () (@var "BOUND_VARIABLE_8436" $$unsorted)) % 0.84/1.03 (define @t168 () (or @t100 @t166)) % 0.84/1.03 (define @t169 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t167))))) % 0.84/1.03 (define @t170 () (not (tptp.ssList @t167))) % 0.84/1.03 (define @t171 () (not @t34)) % 0.84/1.03 (define @t172 () (or @t171 @t170 @t169)) % 0.84/1.03 (define @t173 () (@list @t28 @t167)) % 0.84/1.03 (define @t174 () (forall @t173 @t172)) % 0.84/1.03 (define @t175 () (or @t100 @t174)) % 0.84/1.03 (define @t176 () (forall @t14 @t175)) % 0.84/1.03 (define @t177 () (or @t26 @t176)) % 0.84/1.03 (define @t178 () (or @t26 @t175)) % 0.84/1.03 (define @t179 () (or @t100 @t26 @t174)) % 0.84/1.03 (define @t180 () (or @t26 @t174)) % 0.84/1.03 (define @t181 () (or @t170 @t169)) % 0.84/1.03 (define @t182 () (or @t171 @t181)) % 0.84/1.03 (define @t183 () (forall @t173 @t182)) % 0.84/1.03 (define @t184 () (@list @t167)) % 0.84/1.03 (define @t185 () (forall @t184 @t182)) % 0.84/1.03 (define @t186 () (forall @t184 @t181)) % 0.84/1.03 (define @t187 () (or @t171 @t186)) % 0.84/1.03 (define @t188 () (= @t2 @t30)) % 0.84/1.03 (define @t189 () (not @t188)) % 0.84/1.03 (define @t190 () (not @t32)) % 0.84/1.03 (define @t191 () (or @t190 @t189)) % 0.84/1.03 (define @t192 () (forall @t33 @t191)) % 0.84/1.03 (define @t193 () (or @t171 @t192)) % 0.84/1.03 (define @t194 () (forall @t35 @t193)) % 0.84/1.03 (define @t195 () (or @t26 @t194)) % 0.84/1.03 (define @t196 () (or @t26 @t193)) % 0.84/1.04 (define @t197 () (or @t171 @t26 @t192)) % 0.84/1.04 (define @t198 () (or @t26 @t192)) % 0.84/1.04 (define @t199 () (or @t26 @t191)) % 0.84/1.04 (define @t200 () (or @t190 @t189 @t26)) % 0.84/1.04 (define @t201 () (=> @t188 @t26)) % 0.84/1.04 (define @t202 () (not @t64)) % 0.84/1.04 (define @t203 () (not @t17)) % 0.84/1.04 (define @t204 () (or @t203 @t49 @t202)) % 0.84/1.04 (define @t205 () (forall @t9 @t204)) % 0.84/1.04 (define @t206 () (@quantifiers_skolemize @t205 0)) % 0.84/1.04 (define @t207 () (not (= @t206 @t114))) % 0.84/1.04 (define @t208 () (or @t121 @t120 @t119 @t118 @t117 @t116 @t207)) % 0.84/1.04 (define @t209 () (forall @t123 @t208)) % 0.84/1.04 (define @t210 () (tptp.totalorderedP @t206)) % 0.84/1.04 (define @t211 () (= @t210 @t209)) % 0.84/1.04 (define @t212 () (tptp.ssList @t206)) % 0.84/1.04 (define @t213 () (not @t212)) % 0.84/1.04 (define @t214 () (or @t213 @t211)) % 0.84/1.04 (define @t215 () (forall @t9 (or @t203 @t124))) % 0.84/1.04 (define @t216 () (@list @t206)) % 0.84/1.04 (define @t217 () (forall @t123 (or @t121 @t120 @t119 @t118 @t117 @t116 (not (= @t114 @t206))))) % 0.84/1.04 (define @t218 () (= @t210 @t217)) % 0.84/1.04 (define @t219 () (or @t213 @t218)) % 0.84/1.04 (define @t220 () (@list false)) % 0.84/1.04 (define @t221 () (not @t21)) % 0.84/1.04 (define @t222 () (forall @t7 @t221)) % 0.84/1.04 (define @t223 () (or @t222 @t204)) % 0.84/1.04 (define @t224 () (or @t203 @t49 @t202 @t222)) % 0.84/1.04 (define @t225 () (or @t49 @t203 @t202 @t222)) % 0.84/1.04 (define @t226 () (or @t49 @t203 @t202 @t221)) % 0.84/1.04 (define @t227 () (or @t221 @t49 @t203 @t202)) % 0.84/1.04 (define @t228 () (or @t49 @t221 @t203 @t202)) % 0.84/1.04 (define @t229 () (or @t203 @t202)) % 0.84/1.04 (define @t230 () (not (= @t2 @t2))) % 0.84/1.04 (define @t231 () (or @t203 @t230 @t202)) % 0.84/1.04 (define @t232 () (not @t15)) % 0.84/1.04 (define @t233 () (or @t98 @t232 @t98 @t97)) % 0.84/1.04 (define @t234 () (or @t232 @t98 @t97)) % 0.84/1.04 (define @t235 () (forall @t16 @t234)) % 0.84/1.04 (define @t236 () (or @t49 @t221 @t235)) % 0.84/1.04 (define @t237 () (or @t49 @t221 @t234)) % 0.84/1.04 (define @t238 () (or @t232 @t98 @t97 @t49 @t221)) % 0.84/1.04 (define @t239 () (or @t98 @t97 @t49 @t221)) % 0.84/1.04 (define @t240 () (not (= @t1 @t1))) % 0.84/1.04 (define @t241 () (or @t221 @t240)) % 0.84/1.04 (define @t242 () (or @t99 @t100 @t99)) % 0.84/1.04 (define @t243 () (or @t100 @t99)) % 0.84/1.04 (define @t244 () (forall @t14 @t243)) % 0.84/1.04 (define @t245 () (or @t98 @t97 @t49 @t244)) % 0.84/1.04 (define @t246 () (or @t98 @t97 @t49 @t243)) % 0.84/1.04 (define @t247 () (tptp.strictorderedP @t206)) % 0.84/1.04 (define @t248 () (not @t247)) % 0.84/1.04 (define @t249 () (or @t213 @t210 @t248)) % 0.84/1.04 (define @t250 () (@list true)) % 0.84/1.04 (define @t251 () (@list @t249)) % 0.84/1.04 (define @t252 () (@list false false)) % 0.84/1.04 (define @t253 () (not @t217)) % 0.84/1.04 (define @t254 () (@quantifiers_skolemize @t217 4)) % 0.84/1.04 (define @t255 () (@quantifiers_skolemize @t217 1)) % 0.84/1.04 (define @t256 () (@quantifiers_skolemize @t217 3)) % 0.84/1.04 (define @t257 () (@quantifiers_skolemize @t217 0)) % 0.84/1.04 (define @t258 () (@quantifiers_skolemize @t217 2)) % 0.84/1.04 (define @t259 () (tptp.app (tptp.app @t258 (tptp.cons @t257 @t256)) (tptp.cons @t255 @t254))) % 0.84/1.04 (define @t260 () (= @t206 @t259)) % 0.84/1.04 (define @t261 () (not @t260)) % 0.84/1.04 (define @t262 () (tptp.ssList @t254)) % 0.84/1.04 (define @t263 () (not @t262)) % 0.84/1.04 (define @t264 () (tptp.ssList @t256)) % 0.84/1.04 (define @t265 () (not @t264)) % 0.84/1.04 (define @t266 () (tptp.ssList @t258)) % 0.84/1.04 (define @t267 () (not @t266)) % 0.84/1.04 (define @t268 () (tptp.leq @t257 @t255)) % 0.84/1.04 (define @t269 () (tptp.ssItem @t255)) % 0.84/1.04 (define @t270 () (not @t269)) % 0.84/1.04 (define @t271 () (tptp.ssItem @t257)) % 0.84/1.04 (define @t272 () (not @t271)) % 0.84/1.04 (define @t273 () (or @t272 @t270 @t268 @t267 @t265 @t263 @t261)) % 0.84/1.04 (define @t274 () (not @t273)) % 0.84/1.04 (define @t275 () (not (= @t259 @t206))) % 0.84/1.04 (define @t276 () (or @t272 @t270 @t268 @t267 @t265 @t263 @t275)) % 0.84/1.04 (define @t277 () (not @t276)) % 0.84/1.04 (define @t278 () (@list @t273)) % 0.84/1.04 (define @t279 () (and (not (= @t257 @t255)) @t268)) % 0.84/1.04 (define @t280 () (not @t279)) % 0.84/1.04 (define @t281 () (@var "BOUND_VARIABLE_10821" $$unsorted)) % 0.84/1.04 (define @t282 () (= (tptp.lt @t2 @t281) (and (not (= @t2 @t281)) (tptp.leq @t2 @t281)))) % 0.84/1.04 (define @t283 () (not (tptp.ssItem @t281))) % 0.84/1.04 (define @t284 () (not @t8)) % 0.84/1.04 (define @t285 () (or @t283 @t282)) % 0.84/1.04 (define @t286 () (or @t284 @t285)) % 0.84/1.04 (define @t287 () (forall (@list @t2 @t281) @t286)) % 0.84/1.04 (define @t288 () (@list @t281)) % 0.84/1.04 (define @t289 () (forall @t288 @t286)) % 0.84/1.04 (define @t290 () (forall @t288 @t285)) % 0.84/1.04 (define @t291 () (or @t284 @t290)) % 0.84/1.04 (define @t292 () (forall @t7 (or @t121 @t93))) % 0.84/1.04 (define @t293 () (tptp.lt @t257 @t255)) % 0.84/1.04 (define @t294 () (= @t293 @t279)) % 0.84/1.04 (define @t295 () (or @t272 @t270 @t294)) % 0.84/1.04 (define @t296 () (@var "BOUND_VARIABLE_8867" $$unsorted)) % 0.84/1.04 (define @t297 () (@var "BOUND_VARIABLE_8861" $$unsorted)) % 0.84/1.04 (define @t298 () (@var "BOUND_VARIABLE_8865" $$unsorted)) % 0.84/1.04 (define @t299 () (@var "BOUND_VARIABLE_8863" $$unsorted)) % 0.84/1.04 (define @t300 () (tptp.app (tptp.app @t299 (tptp.cons @t1 @t298)) (tptp.cons @t297 @t296))) % 0.84/1.04 (define @t301 () (not (= @t2 @t300))) % 0.84/1.04 (define @t302 () (not (tptp.ssList @t296))) % 0.84/1.04 (define @t303 () (not (tptp.ssList @t298))) % 0.84/1.04 (define @t304 () (not (tptp.ssList @t299))) % 0.84/1.04 (define @t305 () (tptp.lt @t1 @t297)) % 0.84/1.04 (define @t306 () (not (tptp.ssItem @t297))) % 0.84/1.04 (define @t307 () (or @t121 @t306 @t305 @t304 @t303 @t302 @t301)) % 0.84/1.04 (define @t308 () (@list @t1 @t297 @t299 @t298 @t296)) % 0.84/1.04 (define @t309 () (= @t64 (forall @t308 @t307))) % 0.84/1.04 (define @t310 () (or @t306 @t305 @t304 @t303 @t302 @t301)) % 0.84/1.04 (define @t311 () (or @t121 @t310)) % 0.84/1.04 (define @t312 () (forall @t308 @t311)) % 0.84/1.04 (define @t313 () (@list @t297 @t299 @t298 @t296)) % 0.84/1.04 (define @t314 () (forall @t313 @t311)) % 0.84/1.04 (define @t315 () (forall @t313 @t310)) % 0.84/1.04 (define @t316 () (@var "BOUND_VARIABLE_8837" $$unsorted)) % 0.84/1.04 (define @t317 () (@var "BOUND_VARIABLE_8835" $$unsorted)) % 0.84/1.04 (define @t318 () (@var "BOUND_VARIABLE_8833" $$unsorted)) % 0.84/1.04 (define @t319 () (or @t121 @t315)) % 0.84/1.04 (define @t320 () (not (= @t2 (tptp.app (tptp.app @t318 (tptp.cons @t1 @t317)) (tptp.cons @t12 @t316))))) % 0.84/1.04 (define @t321 () (not (tptp.ssList @t316))) % 0.84/1.04 (define @t322 () (not (tptp.ssList @t317))) % 0.84/1.04 (define @t323 () (not (tptp.ssList @t318))) % 0.84/1.04 (define @t324 () (or @t139 @t37 @t323 @t322 @t321 @t320)) % 0.84/1.04 (define @t325 () (@list @t12 @t318 @t317 @t316)) % 0.84/1.04 (define @t326 () (forall @t325 @t324)) % 0.84/1.04 (define @t327 () (or @t323 @t322 @t321 @t320)) % 0.84/1.04 (define @t328 () (or @t139 @t37 @t327)) % 0.84/1.04 (define @t329 () (forall @t325 @t328)) % 0.84/1.04 (define @t330 () (@list @t318 @t317 @t316)) % 0.84/1.04 (define @t331 () (forall @t330 @t328)) % 0.84/1.04 (define @t332 () (forall @t330 @t327)) % 0.84/1.04 (define @t333 () (or @t139 @t37 @t332)) % 0.84/1.04 (define @t334 () (or @t139 @t37 @t158)) % 0.84/1.04 (define @t335 () (or @t37 @t158)) % 0.84/1.04 (define @t336 () (or @t37 @t176)) % 0.84/1.04 (define @t337 () (or @t37 @t175)) % 0.84/1.04 (define @t338 () (or @t100 @t37 @t174)) % 0.84/1.04 (define @t339 () (or @t37 @t174)) % 0.84/1.04 (define @t340 () (or @t37 @t194)) % 0.84/1.04 (define @t341 () (or @t37 @t193)) % 0.84/1.04 (define @t342 () (or @t171 @t37 @t192)) % 0.84/1.04 (define @t343 () (or @t37 @t192)) % 0.84/1.04 (define @t344 () (or @t37 @t191)) % 0.84/1.04 (define @t345 () (or @t190 @t189 @t37)) % 0.84/1.04 (define @t346 () (=> @t188 @t37)) % 0.84/1.04 (define @t347 () (not (= @t206 @t300))) % 0.84/1.04 (define @t348 () (or @t121 @t306 @t305 @t304 @t303 @t302 @t347)) % 0.84/1.04 (define @t349 () (forall @t308 @t348)) % 0.84/1.04 (define @t350 () (= @t247 @t349)) % 0.84/1.04 (define @t351 () (or @t213 @t350)) % 0.84/1.04 (define @t352 () (forall @t9 (or @t203 @t309))) % 0.84/1.04 (define @t353 () (forall @t308 (or @t121 @t306 @t305 @t304 @t303 @t302 (not (= @t300 @t206))))) % 0.84/1.04 (define @t354 () (= @t247 @t353)) % 0.84/1.04 (define @t355 () (or @t213 @t354)) % 0.84/1.04 (define @t356 () (or @t272 @t270 @t293 @t267 @t265 @t263 @t275)) % 0.84/1.04 (define @t357 () (or @t272 @t270 @t293 @t267 @t265 @t263 @t261)) % 0.84/1.04 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.84/1.04 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.84/1.04 (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))))))))))) % 0.84/1.04 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.84/1.04 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.84/1.04 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.84/1.04 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.84/1.04 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not (and @t26 @t25))))))))))))))))) % 0.84/1.04 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t26 @t25)))))))))))))))) % 0.84/1.04 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t37 (tptp.lt @t12 @t1))))))))))))))))) % 0.84/1.04 (assume @p11 @t52) % 0.84/1.04 (assume @p12 @t67) % 0.84/1.04 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not @t68)))))))))))))))) % 0.84/1.04 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t68))))))))))))) % 0.84/1.04 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.84/1.04 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t69)))))) % 0.84/1.04 (assume @p17 (tptp.ssList tptp.nil)) % 0.84/1.04 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t69 @t2))))))) % 0.84/1.04 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t70))))))))))) % 0.84/1.04 (assume @p20 (forall @t9 (=> @t17 (or @t72 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t71 @t2))))))))) % 0.84/1.04 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t69))))))) % 0.84/1.04 (assume @p22 (forall @t9 (=> @t17 (=> @t74 (tptp.ssItem @t73))))) % 0.84/1.04 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t69) @t1)))))) % 0.84/1.04 (assume @p24 (forall @t9 (=> @t17 (=> @t74 (tptp.ssList @t75))))) % 0.84/1.04 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t69) @t2)))))) % 0.84/1.04 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t76)))))) % 0.84/1.04 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (= (tptp.cons @t12 @t77) (tptp.app @t71 @t2))))))))) % 0.84/1.04 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.84/1.04 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t79 @t78) @t3)))))) % 0.84/1.04 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t79 @t26) (tptp.leq @t2 @t12))))))))) % 0.84/1.04 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.84/1.04 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t80 @t78)))))) % 0.84/1.04 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t82 (not @t81))))))) % 0.84/1.04 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t37) @t83)))))))) % 0.84/1.04 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t84 @t81)))))) % 0.84/1.04 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t85))))))))) % 0.84/1.04 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t85))))))))) % 0.84/1.04 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.84/1.04 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.84/1.04 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.84/1.04 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.84/1.04 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.84/1.04 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.84/1.04 (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)))))))))))) % 0.84/1.04 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.84/1.04 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t72)))) % 0.84/1.04 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.84/1.04 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.84/1.04 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.84/1.04 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t86 @t1))))))))) % 0.84/1.04 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.84/1.04 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t72)))) % 0.84/1.04 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.84/1.04 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.84/1.04 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.84/1.04 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t86 @t10) @t1))))))))))) % 0.84/1.04 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.84/1.04 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t72)))) % 0.84/1.04 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t87)))) % 0.84/1.04 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.84/1.04 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t87)))) % 0.84/1.04 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.84/1.04 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t87)))) % 0.84/1.04 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.84/1.04 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t87)))) % 0.84/1.04 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.84/1.04 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t91) (or @t89 (and @t90 (tptp.totalorderedP @t1) (tptp.leq @t2 @t88))))))))) % 0.84/1.04 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t87)))) % 0.84/1.04 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.84/1.04 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t91) (or @t89 (and @t90 (tptp.strictorderedP @t1) (tptp.lt @t2 @t88))))))))) % 0.84/1.04 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t87)))) % 0.84/1.04 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.84/1.04 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t87)))) % 0.84/1.04 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.84/1.04 (assume @p75 (forall @t9 (=> @t17 (=> @t74 (exists @t7 (and @t6 (= @t73 @t1))))))) % 0.84/1.04 (assume @p76 (forall @t9 (=> @t17 (=> @t74 (exists @t7 (and @t21 (= @t75 @t1))))))) % 0.84/1.04 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t90 @t74 (= @t88 @t73) (= (tptp.tl @t1) @t75)) @t70)))))) % 0.84/1.04 (assume @p78 (forall @t9 (=> @t17 (=> @t74 (= (tptp.cons @t73 @t75) @t2))))) % 0.84/1.04 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t76) @t92)))))))) % 0.84/1.04 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> 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:premises (@p518 @p517) :args (@t350)) % 0.84/1.04 (step @p520 :rule nary_cong :premises (@p234 @p519) :args (@t351)) % 0.84/1.04 (step @p521 :rule refl :args (@t352)) % 0.84/1.04 (step @p522 :rule cong :premises (@p521 @p520) :args ((=> @t352 @t351))) % 0.84/1.04 (assume-push @p587 @t352) % 0.84/1.04 (step @p524 :rule instantiate :premises (@p508) :args (@t216)) % 0.84/1.04 (step-pop @p588 :rule scope :premises (@p524)) % 0.84/1.04 (step @p525 :rule process_scope :premises (@p588) :args (@t351)) % 0.84/1.04 (step @p527 :rule eq_resolve :premises (@p525 @p522)) % 0.84/1.04 (step @p528 :rule implies_elim :premises (@p527)) % 0.84/1.04 (step @p529 :rule chain_m_resolution :premises (@p528 @p508) :args (@t355 @t220 (@list @t352))) % 0.84/1.04 (step @p530 :rule cnf_or_pos :args (@t355)) % 0.84/1.04 (step @p531 :rule reordering :premises (@p530) :args ((or @t213 @t354 (not @t355)))) % 0.84/1.04 (step @p532 :rule chain_m_resolution :premises (@p531 @p343 @p529) :args (@t354 @t252 (@list @t212 @t355))) % 0.84/1.04 (step @p533 :rule bool-double-not-elim :args (@t247)) % 0.84/1.04 (step @p534 :rule nary_cong :premises (@p338 @p533) :args ((or @t249 (not @t248)))) % 0.84/1.04 (step @p535 :rule cnf_or_neg :args (@t249 2)) % 0.84/1.04 (step @p536 :rule eq_resolve :premises (@p535 @p534)) % 0.84/1.04 (step @p537 :rule reordering :premises (@p536) :args ((or @t247 @t249))) % 0.84/1.04 (step @p538 :rule chain_m_resolution :premises (@p537 @p336) :args (@t247 @t250 @t251)) % 0.84/1.04 (step @p539 :rule cnf_equiv_pos1 :args (@t354)) % 0.84/1.04 (step @p540 :rule reordering :premises (@p539) :args ((or @t248 @t353 (not @t354)))) % 0.84/1.04 (step @p541 :rule chain_m_resolution :premises (@p540 @p538 @p532) :args (@t353 @t252 (@list @t247 @t354))) % 0.84/1.04 (step @p542 :rule refl :args (@t293)) % 0.84/1.04 (step @p543 :rule nary_cong :premises (@p362 @p361 @p542 @p359 @p358 @p357 @p356) :args (@t356)) % 0.84/1.04 (step @p544 :rule refl :args (@t353)) % 0.84/1.04 (step @p545 :rule cong :premises (@p544 @p543) :args ((=> @t353 @t356))) % 0.84/1.04 (assume-push @p589 @t353) % 0.84/1.04 (step @p547 :rule instantiate :premises (@p541) :args ((@list @t257 @t255 @t258 @t256 @t254))) % 0.84/1.04 (step-pop @p590 :rule scope :premises (@p547)) % 0.84/1.04 (step @p548 :rule process_scope :premises (@p590) :args (@t356)) % 0.84/1.04 (step @p550 :rule eq_resolve :premises (@p548 @p545)) % 0.84/1.04 (step @p551 :rule implies_elim :premises (@p550)) % 0.84/1.04 (step @p552 :rule chain_m_resolution :premises (@p551 @p541) :args (@t357 @t220 (@list @t353))) % 0.84/1.04 (step @p553 :rule bool-double-not-elim :args (@t260)) % 0.84/1.04 (step @p554 :rule nary_cong :premises (@p404 @p553) :args ((or @t273 (not @t261)))) % 0.84/1.04 (step @p555 :rule cnf_or_neg :args (@t273 6)) % 0.84/1.04 (step @p556 :rule eq_resolve :premises (@p555 @p554)) % 0.84/1.04 (step @p557 :rule reordering :premises (@p556) :args ((or @t260 @t273))) % 0.84/1.04 (step @p558 :rule chain_m_resolution :premises (@p557 @p374) :args (@t260 @t250 @t278)) % 0.84/1.04 (step @p559 :rule bool-double-not-elim :args (@t262)) % 0.84/1.04 (step @p560 :rule nary_cong :premises (@p404 @p559) :args ((or @t273 (not @t263)))) % 0.84/1.04 (step @p561 :rule cnf_or_neg :args (@t273 5)) % 0.84/1.04 (step @p562 :rule eq_resolve :premises (@p561 @p560)) % 0.84/1.04 (step @p563 :rule reordering :premises (@p562) :args ((or @t262 @t273))) % 0.84/1.04 (step @p564 :rule chain_m_resolution :premises (@p563 @p374) :args (@t262 @t250 @t278)) % 0.84/1.04 (step @p565 :rule bool-double-not-elim :args (@t264)) % 0.84/1.04 (step @p566 :rule nary_cong :premises (@p404 @p565) :args ((or @t273 (not @t265)))) % 0.84/1.04 (step @p567 :rule cnf_or_neg :args (@t273 4)) % 0.84/1.04 (step @p568 :rule eq_resolve :premises (@p567 @p566)) % 0.84/1.04 (step @p569 :rule reordering :premises (@p568) :args ((or @t264 @t273))) % 0.84/1.04 (step @p570 :rule chain_m_resolution :premises (@p569 @p374) :args (@t264 @t250 @t278)) % 0.84/1.04 (step @p571 :rule bool-double-not-elim :args (@t266)) % 0.84/1.04 (step @p572 :rule nary_cong :premises (@p404 @p571) :args ((or @t273 (not @t267)))) % 0.84/1.04 (step @p573 :rule cnf_or_neg :args (@t273 3)) % 0.84/1.04 (step @p574 :rule eq_resolve :premises (@p573 @p572)) % 0.84/1.04 (step @p575 :rule reordering :premises (@p574) :args ((or @t266 @t273))) % 0.84/1.04 (step @p576 :rule chain_m_resolution :premises (@p575 @p374) :args (@t266 @t250 @t278)) % 0.84/1.04 (step @p577 :rule cnf_or_pos :args (@t357)) % 0.84/1.04 (step @p578 :rule reordering :premises (@p577) :args ((or @t272 @t270 @t267 @t265 @t263 @t261 @t293 (not @t357)))) % 0.84/1.04 (step @p579 :rule chain_m_resolution :premises (@p578 @p415 @p409 @p576 @p570 @p564 @p558 @p552) :args (@t293 (@list false false false false false false false) (@list @t271 @t269 @t266 @t264 @t262 @t260 @t357))) % 0.84/1.04 (step @p580 :rule cnf_equiv_pos1 :args (@t294)) % 0.84/1.04 (step @p581 :rule reordering :premises (@p580) :args ((or @t279 (not @t293) (not @t294)))) % 0.84/1.04 (step @p582 false :rule chain_m_resolution :premises (@p581 @p579 @p418 @p379) :args (false (@list false false true) (@list @t293 @t294 @t279))) % 0.84/1.04 ) % 0.84/1.04 % SZS output end Proof % 0.84/1.04 % cvc5 exiting %------------------------------------------------------------------------------