%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC122+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 : n010.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 08:58:08 AM UTC 2026 % Result : Theorem 0.85s 1.12s % Output : Proof 0.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC122+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % 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 19:15:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.85/1.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.12 % SZS status Theorem % 0.85/1.12 % SZS output start Proof % 0.85/1.12 ( % 0.85/1.12 (declare-sort $$unsorted 0) % 0.85/1.12 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.85/1.12 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.85/1.12 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.12 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.12 (declare-const tptp.nil $$unsorted) % 0.85/1.12 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.85/1.12 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.85/1.12 (define @t1 () (@var "V" $$unsorted)) % 0.85/1.12 (define @t2 () (@var "U" $$unsorted)) % 0.85/1.12 (define @t3 () (= @t2 @t1)) % 0.85/1.12 (define @t4 () (not @t3)) % 0.85/1.12 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.85/1.12 (define @t6 () (tptp.ssItem @t1)) % 0.85/1.12 (define @t7 () (@list @t1)) % 0.85/1.12 (define @t8 () (tptp.ssItem @t2)) % 0.85/1.12 (define @t9 () (@list @t2)) % 0.85/1.12 (define @t10 () (@var "X" $$unsorted)) % 0.85/1.12 (define @t11 () (tptp.cons @t1 @t10)) % 0.85/1.12 (define @t12 () (@var "W" $$unsorted)) % 0.85/1.12 (define @t13 () (tptp.ssList @t10)) % 0.85/1.12 (define @t14 () (@list @t10)) % 0.85/1.12 (define @t15 () (tptp.ssList @t12)) % 0.85/1.12 (define @t16 () (@list @t12)) % 0.85/1.12 (define @t17 () (tptp.ssList @t2)) % 0.85/1.12 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.85/1.12 (define @t19 () (tptp.app @t1 @t12)) % 0.85/1.12 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.85/1.12 (define @t21 () (tptp.ssList @t1)) % 0.85/1.12 (define @t22 () (tptp.app @t12 @t1)) % 0.85/1.12 (define @t23 () (and @t15 (= @t22 @t2))) % 0.85/1.12 (define @t24 () (exists @t16 @t23)) % 0.85/1.12 (define @t25 () (tptp.rearsegP @t2 @t1)) % 0.85/1.12 (define @t26 () (= @t25 @t24)) % 0.85/1.12 (define @t27 () (=> @t21 @t26)) % 0.85/1.12 (define @t28 () (forall @t7 @t27)) % 0.85/1.12 (define @t29 () (=> @t17 @t28)) % 0.85/1.12 (define @t30 () (forall @t9 @t29)) % 0.85/1.12 (define @t31 () (tptp.app @t22 @t10)) % 0.85/1.12 (define @t32 () (and @t13 (= @t31 @t2))) % 0.85/1.12 (define @t33 () (exists @t14 @t32)) % 0.85/1.12 (define @t34 () (and @t15 @t33)) % 0.85/1.12 (define @t35 () (exists @t16 @t34)) % 0.85/1.12 (define @t36 () (tptp.segmentP @t2 @t1)) % 0.85/1.12 (define @t37 () (= @t36 @t35)) % 0.85/1.12 (define @t38 () (=> @t21 @t37)) % 0.85/1.12 (define @t39 () (forall @t7 @t38)) % 0.85/1.12 (define @t40 () (=> @t17 @t39)) % 0.85/1.12 (define @t41 () (forall @t9 @t40)) % 0.85/1.12 (define @t42 () (tptp.leq @t12 @t1)) % 0.85/1.12 (define @t43 () (tptp.leq @t1 @t12)) % 0.85/1.12 (define @t44 () (@var "Z" $$unsorted)) % 0.85/1.12 (define @t45 () (@var "Y" $$unsorted)) % 0.85/1.12 (define @t46 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t45)) (tptp.cons @t12 @t44)) @t2)) % 0.85/1.12 (define @t47 () (tptp.ssList @t44)) % 0.85/1.12 (define @t48 () (@list @t44)) % 0.85/1.12 (define @t49 () (tptp.ssList @t45)) % 0.85/1.12 (define @t50 () (@list @t45)) % 0.85/1.12 (define @t51 () (tptp.ssItem @t12)) % 0.85/1.12 (define @t52 () (tptp.lt @t1 @t12)) % 0.85/1.12 (define @t53 () (= @t1 @t12)) % 0.85/1.12 (define @t54 () (tptp.cons @t1 @t2)) % 0.85/1.12 (define @t55 () (tptp.ssList tptp.nil)) % 0.85/1.12 (define @t56 () (= @t1 @t2)) % 0.85/1.12 (define @t57 () (tptp.cons @t12 @t1)) % 0.85/1.12 (define @t58 () (= tptp.nil @t2)) % 0.85/1.12 (define @t59 () (tptp.hd @t2)) % 0.85/1.12 (define @t60 () (not @t58)) % 0.85/1.12 (define @t61 () (tptp.tl @t2)) % 0.85/1.12 (define @t62 () (tptp.app @t2 @t1)) % 0.85/1.12 (define @t63 () (tptp.app @t1 @t2)) % 0.85/1.12 (define @t64 () (tptp.leq @t1 @t2)) % 0.85/1.12 (define @t65 () (tptp.leq @t2 @t1)) % 0.85/1.12 (define @t66 () (tptp.geq @t2 @t1)) % 0.85/1.12 (define @t67 () (tptp.lt @t1 @t2)) % 0.85/1.12 (define @t68 () (tptp.lt @t2 @t1)) % 0.85/1.12 (define @t69 () (tptp.lt @t2 @t12)) % 0.85/1.12 (define @t70 () (tptp.gt @t2 @t1)) % 0.85/1.12 (define @t71 () (tptp.memberP @t12 @t2)) % 0.85/1.12 (define @t72 () (tptp.rearsegP @t1 @t12)) % 0.85/1.12 (define @t73 () (tptp.rearsegP @t1 @t2)) % 0.85/1.12 (define @t74 () (tptp.app @t12 @t2)) % 0.85/1.12 (define @t75 () (tptp.segmentP @t1 @t2)) % 0.85/1.12 (define @t76 () (tptp.cons @t2 tptp.nil)) % 0.85/1.12 (define @t77 () (tptp.hd @t1)) % 0.85/1.12 (define @t78 () (= tptp.nil @t1)) % 0.85/1.12 (define @t79 () (not @t78)) % 0.85/1.12 (define @t80 () (tptp.cons @t2 @t1)) % 0.85/1.12 (define @t81 () (= @t12 @t2)) % 0.85/1.12 (define @t82 () (tptp.app @t2 tptp.nil)) % 0.85/1.12 (define @t83 () (=> @t17 (= @t82 @t2))) % 0.85/1.12 (define @t84 () (forall @t9 @t83)) % 0.85/1.12 (define @t85 () (not (tptp.neq @t12 tptp.nil))) % 0.85/1.12 (define @t86 () (and (tptp.neq @t10 tptp.nil) (or @t85 (not (tptp.rearsegP @t10 @t12))))) % 0.85/1.12 (define @t87 () (tptp.neq @t2 tptp.nil)) % 0.85/1.12 (define @t88 () (and @t87 @t75)) % 0.85/1.12 (define @t89 () (not (= tptp.nil @t12))) % 0.85/1.12 (define @t90 () (and @t89 (= tptp.nil @t10))) % 0.85/1.12 (define @t91 () (tptp.neq @t1 tptp.nil)) % 0.85/1.12 (define @t92 () (not @t91)) % 0.85/1.12 (define @t93 () (not (= @t2 @t12))) % 0.85/1.12 (define @t94 () (not (= @t1 @t10))) % 0.85/1.12 (define @t95 () (or @t94 @t93 @t92 @t90 @t88 @t86)) % 0.85/1.12 (define @t96 () (=> @t13 @t95)) % 0.85/1.12 (define @t97 () (forall @t14 @t96)) % 0.85/1.12 (define @t98 () (=> @t15 @t97)) % 0.85/1.12 (define @t99 () (forall @t16 @t98)) % 0.85/1.12 (define @t100 () (=> @t21 @t99)) % 0.85/1.12 (define @t101 () (forall @t7 @t100)) % 0.85/1.12 (define @t102 () (=> @t17 @t101)) % 0.85/1.12 (define @t103 () (forall @t9 @t102)) % 0.85/1.12 (define @t104 () (not @t103)) % 0.85/1.12 (define @t105 () (= @t2 @t82)) % 0.85/1.12 (define @t106 () (@var "BOUND_VARIABLE_10973" $$unsorted)) % 0.85/1.12 (define @t107 () (not @t87)) % 0.85/1.12 (define @t108 () (tptp.neq @t106 tptp.nil)) % 0.85/1.12 (define @t109 () (and @t108 (or @t107 (not (tptp.rearsegP @t106 @t2))))) % 0.85/1.12 (define @t110 () (not (= @t2 tptp.nil))) % 0.85/1.12 (define @t111 () (and @t87 (tptp.segmentP @t106 @t2))) % 0.85/1.12 (define @t112 () (not @t108)) % 0.85/1.12 (define @t113 () (not (tptp.ssList @t106))) % 0.85/1.12 (define @t114 () (not @t17)) % 0.85/1.12 (define @t115 () (@list @t2 @t106)) % 0.85/1.12 (define @t116 () (forall @t115 (or @t114 @t113 @t112 @t111 (and @t110 (= tptp.nil @t106)) @t109))) % 0.85/1.12 (define @t117 () (@quantifiers_skolemize @t116 1)) % 0.85/1.12 (define @t118 () (and @t110 (= @t106 tptp.nil))) % 0.85/1.12 (define @t119 () (or @t114 @t113 @t112 @t111 @t118 @t109)) % 0.85/1.12 (define @t120 () (or @t113 @t112 @t111 @t118 @t109)) % 0.85/1.12 (define @t121 () (or @t114 @t120)) % 0.85/1.12 (define @t122 () (forall @t115 @t121)) % 0.85/1.12 (define @t123 () (@list @t106)) % 0.85/1.12 (define @t124 () (forall @t123 @t121)) % 0.85/1.12 (define @t125 () (forall @t123 @t120)) % 0.85/1.12 (define @t126 () (@list @t1)) % 0.85/1.12 (define @t127 () (or @t114 @t125)) % 0.85/1.12 (define @t128 () (and @t91 (or @t107 (not @t73)))) % 0.85/1.12 (define @t129 () (= @t1 tptp.nil)) % 0.85/1.12 (define @t130 () (and @t110 @t129)) % 0.85/1.12 (define @t131 () (not @t21)) % 0.85/1.12 (define @t132 () (or @t131 @t92 @t88 @t130 @t128)) % 0.85/1.12 (define @t133 () (or @t114 (forall @t7 @t132))) % 0.85/1.12 (define @t134 () (or @t114 @t132)) % 0.85/1.12 (define @t135 () (or @t131 @t92 @t88 @t114 @t130 @t128)) % 0.85/1.12 (define @t136 () (or @t92 @t88 @t131 @t114 @t130 @t128)) % 0.85/1.12 (define @t137 () (or @t114 @t130 @t128)) % 0.85/1.12 (define @t138 () (not (= @t2 @t2))) % 0.85/1.12 (define @t139 () (or @t114 @t138 @t130 @t128)) % 0.85/1.12 (define @t140 () (and @t91 (or @t85 (not @t72)))) % 0.85/1.12 (define @t141 () (not (= @t12 tptp.nil))) % 0.85/1.12 (define @t142 () (and @t141 @t129)) % 0.85/1.12 (define @t143 () (not @t15)) % 0.85/1.12 (define @t144 () (or @t93 @t143 @t93 @t142 @t140)) % 0.85/1.12 (define @t145 () (or @t143 @t93 @t142 @t140)) % 0.85/1.12 (define @t146 () (forall @t16 @t145)) % 0.85/1.12 (define @t147 () (or @t92 @t88 @t131 @t146)) % 0.85/1.12 (define @t148 () (or @t92 @t88 @t131 @t145)) % 0.85/1.12 (define @t149 () (or @t143 @t93 @t92 @t88 @t131 @t142 @t140)) % 0.85/1.12 (define @t150 () (or @t93 @t92 @t88 @t131 @t142 @t140)) % 0.85/1.12 (define @t151 () (or @t131 @t142 @t140)) % 0.85/1.12 (define @t152 () (not (= @t1 @t1))) % 0.85/1.12 (define @t153 () (or @t131 @t152 @t142 @t140)) % 0.85/1.12 (define @t154 () (and @t141 (= @t10 tptp.nil))) % 0.85/1.12 (define @t155 () (not @t13)) % 0.85/1.12 (define @t156 () (or @t94 @t155 @t94 @t154 @t86)) % 0.85/1.12 (define @t157 () (or @t155 @t94 @t154 @t86)) % 0.85/1.12 (define @t158 () (forall @t14 @t157)) % 0.85/1.12 (define @t159 () (or @t93 @t92 @t88 @t158)) % 0.85/1.12 (define @t160 () (or @t93 @t92 @t88 @t157)) % 0.85/1.12 (define @t161 () (or @t155 @t94 @t93 @t92 @t154 @t88 @t86)) % 0.85/1.12 (define @t162 () (or @t94 @t93 @t92 @t154 @t88 @t86)) % 0.85/1.12 (define @t163 () (@quantifiers_skolemize @t116 0)) % 0.85/1.12 (define @t164 () (tptp.rearsegP @t117 @t163)) % 0.85/1.12 (define @t165 () (not @t164)) % 0.85/1.12 (define @t166 () (tptp.neq @t163 tptp.nil)) % 0.85/1.12 (define @t167 () (not @t166)) % 0.85/1.12 (define @t168 () (or @t167 @t165)) % 0.85/1.12 (define @t169 () (tptp.neq @t117 tptp.nil)) % 0.85/1.12 (define @t170 () (and @t169 @t168)) % 0.85/1.12 (define @t171 () (= tptp.nil @t117)) % 0.85/1.12 (define @t172 () (tptp.segmentP @t117 @t163)) % 0.85/1.12 (define @t173 () (and @t166 @t172)) % 0.85/1.12 (define @t174 () (not @t169)) % 0.85/1.12 (define @t175 () (tptp.ssList @t117)) % 0.85/1.12 (define @t176 () (not @t175)) % 0.85/1.12 (define @t177 () (tptp.ssList @t163)) % 0.85/1.12 (define @t178 () (not @t177)) % 0.85/1.12 (define @t179 () (or @t178 @t176 @t174 @t173 (and (not (= tptp.nil @t163)) @t171) @t170)) % 0.85/1.12 (define @t180 () (not @t179)) % 0.85/1.12 (define @t181 () (not @t116)) % 0.85/1.12 (define @t182 () (not (= @t163 tptp.nil))) % 0.85/1.12 (define @t183 () (and @t182 @t171)) % 0.85/1.12 (define @t184 () (or @t178 @t176 @t174 @t173 @t183 @t170)) % 0.85/1.12 (define @t185 () (not @t184)) % 0.85/1.12 (define @t186 () (@list true)) % 0.85/1.12 (define @t187 () (@list @t179)) % 0.85/1.12 (define @t188 () (tptp.app @t117 tptp.nil)) % 0.85/1.12 (define @t189 () (= @t117 @t188)) % 0.85/1.12 (define @t190 () (or @t176 @t189)) % 0.85/1.12 (define @t191 () (@list false false)) % 0.85/1.12 (define @t192 () (@list @t175 @t190)) % 0.85/1.12 (define @t193 () (@var "BOUND_VARIABLE_8348" $$unsorted)) % 0.85/1.12 (define @t194 () (= (tptp.rearsegP @t2 @t193) (not (forall @t16 (or @t143 (not (= @t2 (tptp.app @t12 @t193)))))))) % 0.85/1.12 (define @t195 () (not (tptp.ssList @t193))) % 0.85/1.12 (define @t196 () (or @t195 @t194)) % 0.85/1.12 (define @t197 () (or @t114 @t196)) % 0.85/1.12 (define @t198 () (forall (@list @t2 @t193) @t197)) % 0.85/1.12 (define @t199 () (@list @t193)) % 0.85/1.12 (define @t200 () (forall @t199 @t197)) % 0.85/1.12 (define @t201 () (forall @t199 @t196)) % 0.85/1.12 (define @t202 () (or @t114 @t201)) % 0.85/1.12 (define @t203 () (= @t2 @t22)) % 0.85/1.12 (define @t204 () (= @t25 (not (forall @t16 (or @t143 (not @t203)))))) % 0.85/1.12 (define @t205 () (forall @t7 (or @t131 @t204))) % 0.85/1.12 (define @t206 () (and @t15 @t203)) % 0.85/1.12 (define @t207 () (forall @t16 (not @t206))) % 0.85/1.12 (define @t208 () (not @t207)) % 0.85/1.12 (define @t209 () (@list @t117 @t163)) % 0.85/1.12 (define @t210 () (tptp.app @t12 @t163)) % 0.85/1.12 (define @t211 () (forall @t16 (or @t143 (not (= @t117 @t210))))) % 0.85/1.12 (define @t212 () (not @t211)) % 0.85/1.12 (define @t213 () (= @t164 @t212)) % 0.85/1.12 (define @t214 () (or @t176 @t178 @t213)) % 0.85/1.12 (define @t215 () (@list false false false)) % 0.85/1.12 (define @t216 () (not @t168)) % 0.85/1.12 (define @t217 () (@list @t168)) % 0.85/1.12 (define @t218 () (@quantifiers_skolemize @t211 0)) % 0.85/1.12 (define @t219 () (tptp.app @t218 @t163)) % 0.85/1.12 (define @t220 () (= @t117 @t219)) % 0.85/1.12 (define @t221 () (not @t220)) % 0.85/1.12 (define @t222 () (tptp.ssList @t218)) % 0.85/1.12 (define @t223 () (not @t222)) % 0.85/1.12 (define @t224 () (or @t223 @t221)) % 0.85/1.12 (define @t225 () (@list @t224)) % 0.85/1.12 (define @t226 () (@var "BOUND_VARIABLE_8384" $$unsorted)) % 0.85/1.12 (define @t227 () (@var "BOUND_VARIABLE_8407" $$unsorted)) % 0.85/1.12 (define @t228 () (not (tptp.ssList @t226))) % 0.85/1.12 (define @t229 () (@list @t12 @t226)) % 0.85/1.12 (define @t230 () (= (tptp.segmentP @t2 @t227) (not (forall @t229 (or @t143 @t228 (not (= @t2 (tptp.app (tptp.app @t12 @t227) @t226)))))))) % 0.85/1.12 (define @t231 () (not (tptp.ssList @t227))) % 0.85/1.12 (define @t232 () (or @t231 @t230)) % 0.85/1.12 (define @t233 () (or @t114 @t232)) % 0.85/1.12 (define @t234 () (forall (@list @t2 @t227) @t233)) % 0.85/1.12 (define @t235 () (@list @t227)) % 0.85/1.12 (define @t236 () (forall @t235 @t233)) % 0.85/1.12 (define @t237 () (forall @t235 @t232)) % 0.85/1.12 (define @t238 () (or @t114 @t237)) % 0.85/1.12 (define @t239 () (not (= @t2 (tptp.app @t22 @t226)))) % 0.85/1.12 (define @t240 () (or @t143 @t228 @t239)) % 0.85/1.12 (define @t241 () (= @t36 (not (forall @t229 @t240)))) % 0.85/1.12 (define @t242 () (forall @t7 (or @t131 @t241))) % 0.85/1.12 (define @t243 () (or @t228 @t239)) % 0.85/1.12 (define @t244 () (or @t143 @t243)) % 0.85/1.12 (define @t245 () (forall @t229 @t244)) % 0.85/1.12 (define @t246 () (@list @t226)) % 0.85/1.12 (define @t247 () (forall @t246 @t244)) % 0.85/1.12 (define @t248 () (forall @t246 @t243)) % 0.85/1.12 (define @t249 () (or @t143 @t248)) % 0.85/1.12 (define @t250 () (= @t2 @t31)) % 0.85/1.12 (define @t251 () (forall @t14 (or @t155 (not @t250)))) % 0.85/1.12 (define @t252 () (not @t251)) % 0.85/1.12 (define @t253 () (and @t15 @t252)) % 0.85/1.12 (define @t254 () (forall @t16 (not @t253))) % 0.85/1.12 (define @t255 () (not @t254)) % 0.85/1.12 (define @t256 () (and @t13 @t250)) % 0.85/1.12 (define @t257 () (forall @t14 (not @t256))) % 0.85/1.12 (define @t258 () (not @t257)) % 0.85/1.12 (define @t259 () (forall @t229 (or @t143 @t228 (not (= @t117 (tptp.app @t210 @t226)))))) % 0.85/1.12 (define @t260 () (not @t259)) % 0.85/1.12 (define @t261 () (= @t172 @t260)) % 0.85/1.12 (define @t262 () (or @t176 @t178 @t261)) % 0.85/1.12 (define @t263 () (@list true false)) % 0.85/1.12 (define @t264 () (not @t261)) % 0.85/1.12 (define @t265 () (= @t117 (tptp.app @t219 tptp.nil))) % 0.85/1.12 (define @t266 () (not @t265)) % 0.85/1.12 (define @t267 () (not @t55)) % 0.85/1.12 (define @t268 () (or @t223 @t267 @t266)) % 0.85/1.12 (define @t269 () (not @t189)) % 0.85/1.12 (define @t270 () (and @t265 @t266)) % 0.85/1.12 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.85/1.12 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.85/1.12 (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))))))))))) % 0.85/1.12 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.85/1.12 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.85/1.12 (assume @p6 @t30) % 0.85/1.12 (assume @p7 @t41) % 0.85/1.12 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (not (and @t43 @t42))))))))))))))))) % 0.85/1.12 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (or @t43 @t42)))))))))))))))) % 0.85/1.12 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (or @t52 (tptp.lt @t12 @t1))))))))))))))))) % 0.85/1.12 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 @t43))))))))))))))) % 0.85/1.12 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 @t52))))))))))))))) % 0.85/1.12 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (not @t53)))))))))))))))) % 0.85/1.12 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t45))) @t2) @t53))))))))))))) % 0.85/1.12 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.85/1.12 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t54)))))) % 0.85/1.12 (assume @p17 @t55) % 0.85/1.12 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t54 @t2))))))) % 0.85/1.12 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t51 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t56))))))))))) % 0.85/1.12 (assume @p20 (forall @t9 (=> @t17 (or @t58 (exists @t7 (and @t21 (exists @t16 (and @t51 (= @t57 @t2))))))))) % 0.85/1.12 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 0.85/1.12 (assume @p22 (forall @t9 (=> @t17 (=> @t60 (tptp.ssItem @t59))))) % 0.85/1.12 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 0.85/1.12 (assume @p24 (forall @t9 (=> @t17 (=> @t60 (tptp.ssList @t61))))) % 0.85/1.12 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t54) @t2)))))) % 0.85/1.12 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t62)))))) % 0.85/1.12 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t51 (= (tptp.cons @t12 @t63) (tptp.app @t57 @t2))))))))) % 0.85/1.12 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.85/1.12 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t65 @t64) @t3)))))) % 0.85/1.12 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t65 @t43) (tptp.leq @t2 @t12))))))))) % 0.85/1.12 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.85/1.12 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t64)))))) % 0.85/1.12 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t68 (not @t67))))))) % 0.85/1.12 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t68 @t52) @t69)))))))) % 0.85/1.12 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 @t67)))))) % 0.85/1.12 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t71))))))))) % 0.85/1.12 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t71))))))))) % 0.85/1.12 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.85/1.12 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.85/1.12 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.85/1.12 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.85/1.12 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.85/1.12 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.85/1.12 (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)))))))))))) % 0.85/1.12 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.85/1.12 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t58)))) % 0.85/1.12 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t25 @t72) (tptp.rearsegP @t2 @t12))))))))) % 0.85/1.12 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t25 @t73) @t3)))))) % 0.85/1.12 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.85/1.12 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t25 (tptp.rearsegP @t74 @t1))))))))) % 0.85/1.12 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.85/1.12 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t58)))) % 0.85/1.12 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t36 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.85/1.12 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t36 @t75) @t3)))))) % 0.85/1.12 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.85/1.12 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t36 (tptp.segmentP (tptp.app @t74 @t10) @t1))))))))))) % 0.85/1.12 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.85/1.12 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t58)))) % 0.85/1.12 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t76)))) % 0.85/1.12 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.85/1.12 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t76)))) % 0.85/1.12 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.85/1.12 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t76)))) % 0.85/1.12 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.85/1.12 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t76)))) % 0.85/1.12 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.85/1.12 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t80) (or @t78 (and @t79 (tptp.totalorderedP @t1) (tptp.leq @t2 @t77))))))))) % 0.85/1.12 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t76)))) % 0.85/1.12 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.85/1.12 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t80) (or @t78 (and @t79 (tptp.strictorderedP @t1) (tptp.lt @t2 @t77))))))))) % 0.85/1.12 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t76)))) % 0.85/1.12 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.85/1.12 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t76)))) % 0.85/1.12 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.85/1.12 (assume @p75 (forall @t9 (=> @t17 (=> @t60 (exists @t7 (and @t6 (= @t59 @t1))))))) % 0.85/1.12 (assume @p76 (forall @t9 (=> @t17 (=> @t60 (exists @t7 (and @t21 (= @t61 @t1))))))) % 0.85/1.12 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t79 @t60 (= @t77 @t59) (= (tptp.tl @t1) @t61)) @t56)))))) % 0.85/1.12 (assume @p78 (forall @t9 (=> @t17 (=> @t60 (= (tptp.cons @t59 @t61) @t2))))) % 0.85/1.12 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t62) @t81)))))))) % 0.85/1.12 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t63) @t81)))))))) % 0.85/1.12 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 0.85/1.12 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t62 @t12) (tptp.app @t2 @t19))))))))) % 0.85/1.12 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t62) (and @t78 @t58))))))) % 0.85/1.12 (assume @p84 @t84) % 0.85/1.12 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t60 (= (tptp.hd @t62) @t59))))))) % 0.85/1.12 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t60 (= (tptp.tl @t62) (tptp.app @t61 @t1)))))))) % 0.85/1.12 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t66 (tptp.geq @t1 @t2)) @t3)))))) % 0.85/1.12 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t66 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.85/1.12 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.85/1.12 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.85/1.12 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t65 @t52) @t69)))))))) % 0.85/1.12 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (or @t3 @t68))))))) % 0.85/1.12 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 (and @t4 @t65))))))) % 0.85/1.12 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not (tptp.gt @t1 @t2)))))))) % 0.85/1.12 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t70 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.85/1.12 (assume @p96 @t104) % 0.85/1.12 (assume @p97 true) % 0.85/1.12 (step @p98 :rule bool-impl-elim :args (@t17 @t105)) % 0.85/1.12 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t105)))) % 0.85/1.12 (step @p100 :rule eq-symm :args (@t82 @t2)) % 0.85/1.12 (step @p101 :rule refl :args (@t17)) % 0.85/1.12 (step @p102 :rule cong :premises (@p101 @p100) :args (@t83)) % 0.85/1.12 (step @p103 :rule cong :premises (@p102) :args (@t84)) % 0.85/1.12 (step @p104 :rule trans :premises (@p103 @p99)) % 0.85/1.12 (step @p105 :rule eq_resolve :premises (@p84 @p104)) % 0.85/1.12 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t117))) % 0.85/1.12 (step @p107 :rule refl :args (@t109)) % 0.85/1.12 (step @p108 :rule eq-symm :args (@t106 tptp.nil)) % 0.85/1.12 (step @p109 :rule refl :args (@t110)) % 0.85/1.12 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t118)) % 0.85/1.12 (step @p111 :rule refl :args (@t111)) % 0.85/1.12 (step @p112 :rule refl :args (@t112)) % 0.85/1.12 (step @p113 :rule refl :args (@t113)) % 0.85/1.12 (step @p114 :rule refl :args (@t114)) % 0.85/1.12 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p110 @p107) :args (@t119)) % 0.85/1.12 (step @p116 :rule aci_norm :args ((= @t121 @t119))) % 0.85/1.12 (step @p117 :rule trans :premises (@p116 @p115)) % 0.85/1.12 (step @p118 :rule cong :premises (@p117) :args (@t122)) % 0.85/1.12 (step @p119 :rule quant-merge-prenex :args ((= (forall @t9 @t124) @t122))) % 0.85/1.12 (step @p120 :rule alpha_equiv :args (@t125 (@list @t106) @t126)) % 0.85/1.12 (step @p121 :rule refl :args (@t114)) % 0.85/1.12 (step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t127)) % 0.85/1.12 (step @p123 :rule quant-miniscope-or :args ((= @t124 @t127))) % 0.85/1.12 (step @p124 :rule trans :premises (@p123 @p122)) % 0.85/1.12 (step @p125 :rule symm :premises (@p124)) % 0.85/1.12 (step @p126 :rule cong :premises (@p125) :args ((forall @t9 @t133))) % 0.85/1.12 (step @p127 :rule trans :premises (@p126 @p119)) % 0.85/1.12 (step @p128 :rule trans :premises (@p127 @p118)) % 0.85/1.12 (step @p129 :rule aci_norm :args ((= (or @t114 @t133) @t133))) % 0.85/1.12 (step @p130 :rule bool-impl-elim :args (@t17 @t133)) % 0.85/1.12 (step @p131 :rule trans :premises (@p130 @p129)) % 0.85/1.12 (step @p132 :rule cong :premises (@p131) :args ((forall @t9 (=> @t17 @t133)))) % 0.85/1.12 (step @p133 :rule trans :premises (@p132 @p128)) % 0.85/1.12 (step @p134 :rule quant-miniscope-or :args ((= (forall @t7 @t134) @t133))) % 0.85/1.12 (step @p135 :rule aci_norm :args ((= @t135 @t134))) % 0.85/1.12 (step @p136 :rule cong :premises (@p135) :args ((forall @t7 @t135))) % 0.85/1.12 (step @p137 :rule trans :premises (@p136 @p134)) % 0.85/1.12 (step @p138 :rule aci_norm :args ((= (or @t131 @t136) @t135))) % 0.85/1.12 (step @p139 :rule bool-impl-elim :args (@t21 @t136)) % 0.85/1.12 (step @p140 :rule trans :premises (@p139 @p138)) % 0.85/1.12 (step @p141 :rule cong :premises (@p140) :args ((forall @t7 (=> @t21 @t136)))) % 0.85/1.12 (step @p142 :rule trans :premises (@p141 @p137)) % 0.85/1.12 (step 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(@p368 @p367)) % 0.85/1.12 (step @p370 :rule symm :premises (@p369)) % 0.85/1.12 (step @p371 :rule cong :premises (@p370) :args ((forall @t16 (or @t143 @t251)))) % 0.85/1.12 (step @p372 :rule trans :premises (@p371 @p365)) % 0.85/1.12 (step @p373 :rule trans :premises (@p372 @p364)) % 0.85/1.12 (step @p374 :rule bool-double-not-elim :args (@t251)) % 0.85/1.12 (step @p375 :rule nary_cong :premises (@p157 @p374) :args ((or @t143 (not @t252)))) % 0.85/1.12 (step @p376 :rule bool-and-de-morgan :args (@t15 @t252 true)) % 0.85/1.12 (step @p377 :rule trans :premises (@p376 @p375)) % 0.85/1.12 (step @p378 :rule cong :premises (@p377) :args (@t254)) % 0.85/1.12 (step @p379 :rule trans :premises (@p378 @p373)) % 0.85/1.12 (step @p380 :rule cong :premises (@p379) :args (@t255)) % 0.85/1.12 (step @p381 :rule exists-elim :args ((= (exists @t16 @t253) @t255))) % 0.85/1.12 (step @p382 :rule trans :premises (@p381 @p380)) % 0.85/1.12 (step @p383 :rule bool-and-de-morgan :args (@t13 @t250 true)) % 0.85/1.12 (step @p384 :rule cong :premises (@p383) :args (@t257)) % 0.85/1.12 (step @p385 :rule cong :premises (@p384) :args (@t258)) % 0.85/1.12 (step @p386 :rule exists-elim :args ((= (exists @t14 @t256) @t258))) % 0.85/1.12 (step @p387 :rule trans :premises (@p386 @p385)) % 0.85/1.12 (step @p388 :rule eq-symm :args (@t31 @t2)) % 0.85/1.12 (step @p389 :rule nary_cong :premises (@p223 @p388) :args (@t32)) % 0.85/1.12 (step @p390 :rule cong :premises (@p389) :args (@t33)) % 0.85/1.12 (step @p391 :rule trans :premises (@p390 @p387)) % 0.85/1.12 (step @p392 :rule nary_cong :premises (@p227 @p391) :args (@t34)) % 0.85/1.12 (step @p393 :rule cong :premises (@p392) :args (@t35)) % 0.85/1.12 (step @p394 :rule trans :premises (@p393 @p382)) % 0.85/1.12 (step @p395 :rule refl :args (@t36)) % 0.85/1.12 (step @p396 :rule cong :premises (@p395 @p394) :args (@t37)) % 0.85/1.12 (step @p397 :rule cong :premises (@p231 @p396) :args (@t38)) % 0.85/1.12 (step @p398 :rule cong :premises (@p397) :args (@t39)) % 0.85/1.12 (step @p399 :rule trans :premises (@p398 @p362)) % 0.85/1.12 (step @p400 :rule cong :premises (@p101 @p399) :args (@t40)) % 0.85/1.12 (step @p401 :rule cong :premises (@p400) :args (@t41)) % 0.85/1.12 (step @p402 :rule trans :premises (@p401 @p360)) % 0.85/1.12 (step @p403 :rule eq_resolve :premises (@p7 @p402)) % 0.85/1.12 (step @p404 :rule instantiate :premises (@p403) :args (@t209)) % 0.85/1.12 (step @p405 :rule cnf_or_pos :args (@t262)) % 0.85/1.12 (step @p406 :rule reordering :premises (@p405) :args ((or @t178 @t176 @t261 (not @t262)))) % 0.85/1.12 (step @p407 :rule chain_m_resolution :premises (@p406 @p314 @p270 @p404) :args (@t261 @t215 (@list @t177 @t175 @t262))) % 0.85/1.12 (step @p408 :rule bool-double-not-elim :args (@t166)) % 0.85/1.12 (step @p409 :rule nary_cong :premises (@p330 @p408) :args ((or @t168 (not @t167)))) % 0.85/1.12 (step @p410 :rule cnf_or_neg :args (@t168 0)) % 0.85/1.12 (step @p411 :rule eq_resolve :premises (@p410 @p409)) % 0.85/1.12 (step @p412 :rule reordering :premises (@p411) :args ((or @t166 @t168))) % 0.85/1.12 (step @p413 :rule chain_m_resolution :premises (@p412 @p328) :args (@t166 @t186 @t217)) % 0.85/1.12 (step @p414 :rule cnf_or_neg :args (@t179 3)) % 0.85/1.12 (step @p415 :rule chain_m_resolution :premises (@p414 @p263) :args ((not @t173) @t186 @t187)) % 0.85/1.12 (step @p416 :rule cnf_and_neg :args (@t173)) % 0.85/1.12 (step @p417 :rule chain_m_resolution :premises (@p416 @p415 @p413) :args ((not @t172) @t263 (@list @t173 @t166))) % 0.85/1.12 (step @p418 :rule bool-double-not-elim :args (@t259)) % 0.85/1.12 (step @p419 :rule refl :args (@t172)) % 0.85/1.12 (step @p420 :rule refl :args (@t264)) % 0.85/1.12 (step @p421 :rule nary_cong :premises (@p420 @p419 @p418) :args ((or @t264 @t172 (not @t260)))) % 0.85/1.12 (step @p422 :rule cnf_equiv_pos2 :args (@t261)) % 0.85/1.12 (step @p423 :rule eq_resolve :premises (@p422 @p421)) % 0.85/1.12 (step @p424 :rule reordering :premises (@p423) :args ((or @t172 @t259 @t264))) % 0.85/1.12 (step @p425 :rule chain_m_resolution :premises (@p424 @p417 @p407) :args (@t259 @t263 (@list @t172 @t261))) % 0.85/1.12 (step @p426 :rule instantiate :premises (@p425) :args ((@list @t218 tptp.nil))) % 0.85/1.12 (step @p427 :rule bool-double-not-elim :args (@t222)) % 0.85/1.12 (step @p428 :rule nary_cong :premises (@p341 @p427) :args ((or @t224 (not @t223)))) % 0.97/1.13 (step @p429 :rule cnf_or_neg :args (@t224 0)) % 0.97/1.13 (step @p430 :rule eq_resolve :premises (@p429 @p428)) % 0.97/1.13 (step @p431 :rule reordering :premises (@p430) :args ((or @t222 @t224))) % 0.97/1.13 (step @p432 :rule chain_m_resolution :premises (@p431 @p339) :args (@t222 @t186 @t225)) % 0.97/1.13 (step @p433 :rule cnf_or_pos :args (@t268)) % 0.97/1.13 (step @p434 :rule reordering :premises (@p433) :args ((or @t267 @t223 @t266 (not @t268)))) % 0.97/1.13 (step @p435 :rule chain_m_resolution :premises (@p434 @p17 @p432 @p426) :args (@t266 @t215 (@list @t55 @t222 @t268))) % 0.97/1.13 (step @p436 :rule bool-double-not-elim :args (@t265)) % 0.97/1.13 (step @p437 :rule refl :args (@t221)) % 0.97/1.13 (step @p438 :rule refl :args (@t269)) % 0.97/1.13 (step @p439 :rule nary_cong :premises (@p438 @p437 @p436) :args ((or @t269 @t221 (not @t266)))) % 0.97/1.13 (assume-push @p471 @t265) % 0.97/1.13 (assume-push @p472 @t266) % 0.97/1.13 (step @p442 :rule evaluate :args ((= true false))) % 0.97/1.13 (step @p443 :rule false_intro :premises (@p435)) % 0.97/1.13 (step @p444 :rule refl :args (tptp.nil)) % 0.97/1.13 (step @p445 :rule cong :premises (@p346 @p444) :args (@t188)) % 0.97/1.13 (step @p446 :rule chain_m_resolution :premises (@p272 @p270 @p106) :args (@t189 @t191 @t192)) % 0.97/1.13 (step @p447 :rule trans :premises (@p446 @p445)) % 0.97/1.13 (step @p448 :rule true_intro :premises (@p447)) % 0.97/1.13 (step @p449 :rule symm :premises (@p448)) % 0.97/1.13 (step @p450 :rule trans :premises (@p449 @p443)) % 0.97/1.13 (step @p451 false :rule eq_resolve :premises (@p450 @p442)) % 0.97/1.13 (step-pop @p473 :rule scope :premises (@p451)) % 0.97/1.13 (step-pop @p474 :rule scope :premises (@p473)) % 0.97/1.13 (step @p452 :rule process_scope :premises (@p474) :args (false)) % 0.97/1.13 (assume-push @p475 @t189) % 0.97/1.13 (assume-push @p476 @t220) % 0.97/1.13 (assume-push @p477 @t266) % 0.97/1.13 (step @p444 :rule refl :args (tptp.nil)) % 0.97/1.13 (step @p445 :rule cong :premises (@p346 @p444) :args (@t188)) % 0.97/1.13 (step @p458 :rule trans :premises (@p273 @p445)) % 0.97/1.13 (step @p459 :rule and_intro :premises (@p458 @p435)) % 0.97/1.13 (step-pop @p478 :rule scope :premises (@p459)) % 0.97/1.13 (step-pop @p479 :rule scope :premises (@p478)) % 0.97/1.13 (step-pop @p480 :rule scope :premises (@p479)) % 0.97/1.13 (step @p460 :rule process_scope :premises (@p480) :args (@t270)) % 0.97/1.13 (step @p464 :rule implies_elim :premises (@p460)) % 0.97/1.13 (step @p465 :rule resolution :premises (@p464 @p452) :args (true @t270)) % 0.97/1.13 (step @p466 :rule not_and :premises (@p465)) % 0.97/1.13 (step @p467 :rule eq_resolve :premises (@p466 @p439)) % 0.97/1.13 (step @p468 false :rule chain_m_resolution :premises (@p467 @p435 @p346 @p273) :args (false (@list true false false) (@list @t265 @t220 @t189))) % 0.97/1.13 ) % 0.97/1.13 % SZS output end Proof % 0.97/1.13 % cvc5 exiting %------------------------------------------------------------------------------