%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC108+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 : n024.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 08:58:05 AM UTC 2026 % Result : Theorem 0.61s 0.82s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC108+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 14:15:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.61/0.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.82 % SZS status Theorem % 0.61/0.82 % SZS output start Proof % 0.61/0.82 ( % 0.61/0.82 (declare-sort $$unsorted 0) % 0.61/0.82 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.61/0.82 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.61/0.82 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.82 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.82 (declare-const tptp.nil $$unsorted) % 0.61/0.82 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.61/0.82 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.61/0.82 (define @t1 () (@var "V" $$unsorted)) % 0.61/0.82 (define @t2 () (@var "U" $$unsorted)) % 0.61/0.82 (define @t3 () (= @t2 @t1)) % 0.61/0.82 (define @t4 () (not @t3)) % 0.61/0.82 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.61/0.82 (define @t6 () (tptp.ssItem @t1)) % 0.61/0.82 (define @t7 () (@list @t1)) % 0.61/0.82 (define @t8 () (tptp.ssItem @t2)) % 0.61/0.82 (define @t9 () (@list @t2)) % 0.61/0.82 (define @t10 () (@var "X" $$unsorted)) % 0.61/0.82 (define @t11 () (tptp.cons @t1 @t10)) % 0.61/0.82 (define @t12 () (@var "W" $$unsorted)) % 0.61/0.82 (define @t13 () (tptp.ssList @t10)) % 0.61/0.82 (define @t14 () (@list @t10)) % 0.61/0.82 (define @t15 () (tptp.ssList @t12)) % 0.61/0.82 (define @t16 () (@list @t12)) % 0.61/0.82 (define @t17 () (tptp.ssList @t2)) % 0.61/0.82 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.61/0.82 (define @t19 () (tptp.app @t1 @t12)) % 0.61/0.82 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.61/0.82 (define @t21 () (tptp.ssList @t1)) % 0.61/0.82 (define @t22 () (tptp.app @t12 @t1)) % 0.61/0.82 (define @t23 () (and @t15 (= @t22 @t2))) % 0.61/0.82 (define @t24 () (exists @t16 @t23)) % 0.61/0.82 (define @t25 () (tptp.rearsegP @t2 @t1)) % 0.61/0.82 (define @t26 () (= @t25 @t24)) % 0.61/0.82 (define @t27 () (=> @t21 @t26)) % 0.61/0.82 (define @t28 () (forall @t7 @t27)) % 0.61/0.82 (define @t29 () (=> @t17 @t28)) % 0.61/0.82 (define @t30 () (forall @t9 @t29)) % 0.61/0.82 (define @t31 () (tptp.app @t22 @t10)) % 0.61/0.82 (define @t32 () (and @t13 (= @t31 @t2))) % 0.61/0.82 (define @t33 () (exists @t14 @t32)) % 0.61/0.82 (define @t34 () (and @t15 @t33)) % 0.61/0.82 (define @t35 () (exists @t16 @t34)) % 0.61/0.82 (define @t36 () (tptp.segmentP @t2 @t1)) % 0.61/0.82 (define @t37 () (= @t36 @t35)) % 0.61/0.82 (define @t38 () (=> @t21 @t37)) % 0.61/0.82 (define @t39 () (forall @t7 @t38)) % 0.61/0.82 (define @t40 () (=> @t17 @t39)) % 0.61/0.82 (define @t41 () (forall @t9 @t40)) % 0.61/0.82 (define @t42 () (tptp.leq @t12 @t1)) % 0.61/0.82 (define @t43 () (tptp.leq @t1 @t12)) % 0.61/0.82 (define @t44 () (@var "Z" $$unsorted)) % 0.61/0.82 (define @t45 () (@var "Y" $$unsorted)) % 0.61/0.82 (define @t46 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t45)) (tptp.cons @t12 @t44)) @t2)) % 0.61/0.82 (define @t47 () (tptp.ssList @t44)) % 0.61/0.82 (define @t48 () (@list @t44)) % 0.61/0.82 (define @t49 () (tptp.ssList @t45)) % 0.61/0.82 (define @t50 () (@list @t45)) % 0.61/0.82 (define @t51 () (tptp.ssItem @t12)) % 0.61/0.82 (define @t52 () (tptp.lt @t1 @t12)) % 0.61/0.82 (define @t53 () (= @t1 @t12)) % 0.61/0.82 (define @t54 () (tptp.cons @t1 @t2)) % 0.61/0.82 (define @t55 () (tptp.ssList tptp.nil)) % 0.61/0.82 (define @t56 () (= @t1 @t2)) % 0.61/0.82 (define @t57 () (tptp.cons @t12 @t1)) % 0.61/0.82 (define @t58 () (= tptp.nil @t2)) % 0.61/0.82 (define @t59 () (tptp.hd @t2)) % 0.61/0.82 (define @t60 () (not @t58)) % 0.61/0.82 (define @t61 () (tptp.tl @t2)) % 0.61/0.82 (define @t62 () (tptp.app @t2 @t1)) % 0.61/0.82 (define @t63 () (tptp.app @t1 @t2)) % 0.61/0.82 (define @t64 () (tptp.leq @t1 @t2)) % 0.61/0.82 (define @t65 () (tptp.leq @t2 @t1)) % 0.61/0.82 (define @t66 () (tptp.geq @t2 @t1)) % 0.61/0.82 (define @t67 () (tptp.lt @t1 @t2)) % 0.61/0.82 (define @t68 () (tptp.lt @t2 @t1)) % 0.61/0.82 (define @t69 () (tptp.lt @t2 @t12)) % 0.61/0.82 (define @t70 () (tptp.gt @t2 @t1)) % 0.61/0.82 (define @t71 () (tptp.memberP @t12 @t2)) % 0.61/0.82 (define @t72 () (tptp.rearsegP @t1 @t12)) % 0.61/0.82 (define @t73 () (tptp.rearsegP @t1 @t2)) % 0.61/0.82 (define @t74 () (and @t25 @t73)) % 0.61/0.82 (define @t75 () (=> @t74 @t3)) % 0.61/0.82 (define @t76 () (forall @t7 (=> @t21 @t75))) % 0.61/0.82 (define @t77 () (=> @t17 @t76)) % 0.61/0.82 (define @t78 () (forall @t9 @t77)) % 0.61/0.82 (define @t79 () (tptp.app @t12 @t2)) % 0.61/0.82 (define @t80 () (tptp.rearsegP @t2 tptp.nil)) % 0.61/0.82 (define @t81 () (forall @t9 (=> @t17 @t80))) % 0.61/0.82 (define @t82 () (tptp.rearsegP tptp.nil @t2)) % 0.61/0.82 (define @t83 () (=> @t17 (= @t82 @t58))) % 0.61/0.82 (define @t84 () (forall @t9 @t83)) % 0.61/0.82 (define @t85 () (tptp.segmentP @t1 @t2)) % 0.61/0.82 (define @t86 () (tptp.cons @t2 tptp.nil)) % 0.61/0.82 (define @t87 () (tptp.hd @t1)) % 0.61/0.82 (define @t88 () (= tptp.nil @t1)) % 0.61/0.82 (define @t89 () (not @t88)) % 0.61/0.82 (define @t90 () (tptp.cons @t2 @t1)) % 0.61/0.82 (define @t91 () (= @t12 @t2)) % 0.61/0.82 (define @t92 () (tptp.app @t2 tptp.nil)) % 0.61/0.82 (define @t93 () (=> @t17 (= @t92 @t2))) % 0.61/0.82 (define @t94 () (forall @t9 @t93)) % 0.61/0.82 (define @t95 () (not (tptp.neq @t12 tptp.nil))) % 0.61/0.82 (define @t96 () (or @t95 (not (tptp.rearsegP @t10 @t12)))) % 0.61/0.82 (define @t97 () (not (= tptp.nil @t12))) % 0.61/0.82 (define @t98 () (not (= tptp.nil @t10))) % 0.61/0.82 (define @t99 () (or @t98 @t97)) % 0.61/0.82 (define @t100 () (and @t99 @t96)) % 0.61/0.82 (define @t101 () (tptp.neq @t2 tptp.nil)) % 0.61/0.82 (define @t102 () (or (not (tptp.neq @t1 tptp.nil)) (and @t101 @t85))) % 0.61/0.82 (define @t103 () (or @t89 @t58)) % 0.61/0.82 (define @t104 () (and @t103 @t102)) % 0.61/0.82 (define @t105 () (not (= @t2 @t12))) % 0.61/0.82 (define @t106 () (not (= @t1 @t10))) % 0.61/0.82 (define @t107 () (or @t106 @t105 @t104 @t100)) % 0.61/0.82 (define @t108 () (=> @t13 @t107)) % 0.61/0.82 (define @t109 () (forall @t14 @t108)) % 0.61/0.82 (define @t110 () (=> @t15 @t109)) % 0.61/0.82 (define @t111 () (forall @t16 @t110)) % 0.61/0.82 (define @t112 () (=> @t21 @t111)) % 0.61/0.82 (define @t113 () (forall @t7 @t112)) % 0.61/0.82 (define @t114 () (=> @t17 @t113)) % 0.61/0.82 (define @t115 () (forall @t9 @t114)) % 0.61/0.82 (define @t116 () (not @t115)) % 0.61/0.82 (define @t117 () (@var "BOUND_VARIABLE_9998" $$unsorted)) % 0.61/0.82 (define @t118 () (= @t2 @t117)) % 0.61/0.82 (define @t119 () (not (tptp.rearsegP @t117 @t2))) % 0.61/0.82 (define @t120 () (not (tptp.rearsegP @t2 @t117))) % 0.61/0.82 (define @t121 () (not (tptp.ssList @t117))) % 0.61/0.82 (define @t122 () (not @t17)) % 0.61/0.82 (define @t123 () (or @t122 @t121 @t120 @t119 @t118)) % 0.61/0.82 (define @t124 () (or @t121 @t120 @t119 @t118)) % 0.61/0.82 (define @t125 () (or @t122 @t124)) % 0.61/0.82 (define @t126 () (@list @t2 @t117)) % 0.61/0.82 (define @t127 () (forall @t126 @t125)) % 0.61/0.82 (define @t128 () (@list @t117)) % 0.61/0.82 (define @t129 () (forall @t128 @t125)) % 0.61/0.82 (define @t130 () (forall @t128 @t124)) % 0.61/0.82 (define @t131 () (@list @t1)) % 0.61/0.82 (define @t132 () (or @t122 @t130)) % 0.61/0.82 (define @t133 () (not @t73)) % 0.61/0.82 (define @t134 () (not @t25)) % 0.61/0.82 (define @t135 () (not @t21)) % 0.61/0.82 (define @t136 () (or @t135 @t134 @t133 @t3)) % 0.61/0.82 (define @t137 () (forall @t7 @t136)) % 0.61/0.82 (define @t138 () (or @t134 @t133 @t3)) % 0.61/0.82 (define @t139 () (@var "BOUND_VARIABLE_10980" $$unsorted)) % 0.61/0.82 (define @t140 () (not @t101)) % 0.61/0.82 (define @t141 () (or @t140 (not (tptp.rearsegP @t139 @t2)))) % 0.61/0.82 (define @t142 () (= @t2 tptp.nil)) % 0.61/0.82 (define @t143 () (not @t142)) % 0.61/0.82 (define @t144 () (not (= tptp.nil @t139))) % 0.61/0.82 (define @t145 () (or (not (tptp.neq @t139 tptp.nil)) (and @t101 (tptp.segmentP @t139 @t2)))) % 0.61/0.82 (define @t146 () (not (tptp.ssList @t139))) % 0.61/0.82 (define @t147 () (@list @t2 @t139)) % 0.61/0.82 (define @t148 () (forall @t147 (or @t122 @t146 (and (or @t144 @t142) @t145) (and (or @t144 @t143) @t141)))) % 0.61/0.82 (define @t149 () (@quantifiers_skolemize @t148 1)) % 0.61/0.82 (define @t150 () (@quantifiers_skolemize @t148 0)) % 0.61/0.82 (define @t151 () (tptp.rearsegP @t150 @t149)) % 0.61/0.82 (define @t152 () (not @t151)) % 0.61/0.82 (define @t153 () (tptp.rearsegP @t149 @t150)) % 0.61/0.82 (define @t154 () (not @t153)) % 0.61/0.82 (define @t155 () (tptp.ssList @t150)) % 0.61/0.82 (define @t156 () (not @t155)) % 0.61/0.82 (define @t157 () (tptp.ssList @t149)) % 0.61/0.82 (define @t158 () (not @t157)) % 0.61/0.82 (define @t159 () (or @t158 @t156 @t154 @t152 (= @t149 @t150))) % 0.61/0.82 (define @t160 () (forall @t126 @t123)) % 0.61/0.82 (define @t161 () (@list @t149 @t150)) % 0.61/0.82 (define @t162 () (= @t150 @t149)) % 0.61/0.82 (define @t163 () (or @t158 @t156 @t154 @t152 @t162)) % 0.61/0.82 (define @t164 () (@list false)) % 0.61/0.82 (define @t165 () (@list @t150)) % 0.61/0.82 (define @t166 () (not (= @t139 tptp.nil))) % 0.61/0.82 (define @t167 () (or @t166 @t143)) % 0.61/0.82 (define @t168 () (and @t167 @t141)) % 0.61/0.82 (define @t169 () (or @t166 @t142)) % 0.61/0.82 (define @t170 () (and @t169 @t145)) % 0.61/0.82 (define @t171 () (or @t122 @t146 @t170 @t168)) % 0.61/0.82 (define @t172 () (or @t146 @t170 @t168)) % 0.61/0.82 (define @t173 () (or @t122 @t172)) % 0.61/0.82 (define @t174 () (forall @t147 @t173)) % 0.61/0.82 (define @t175 () (@list @t139)) % 0.61/0.82 (define @t176 () (forall @t175 @t173)) % 0.61/0.82 (define @t177 () (forall @t175 @t172)) % 0.61/0.82 (define @t178 () (or @t122 @t177)) % 0.61/0.82 (define @t179 () (not (= @t1 tptp.nil))) % 0.61/0.82 (define @t180 () (and (or @t179 @t143) (or @t140 @t133))) % 0.61/0.82 (define @t181 () (and (or @t179 @t142) @t102)) % 0.61/0.82 (define @t182 () (or @t135 @t181 @t180)) % 0.61/0.82 (define @t183 () (or @t122 (forall @t7 @t182))) % 0.61/0.82 (define @t184 () (or @t122 @t182)) % 0.61/0.82 (define @t185 () (or @t135 @t181 @t122 @t180)) % 0.61/0.82 (define @t186 () (or @t181 @t135 @t122 @t180)) % 0.61/0.82 (define @t187 () (or @t122 @t180)) % 0.61/0.82 (define @t188 () (not (= @t2 @t2))) % 0.61/0.82 (define @t189 () (or @t122 @t188 @t180)) % 0.61/0.82 (define @t190 () (not (= @t12 tptp.nil))) % 0.61/0.82 (define @t191 () (and (or @t179 @t190) (or @t95 (not @t72)))) % 0.61/0.82 (define @t192 () (not @t15)) % 0.61/0.82 (define @t193 () (or @t105 @t192 @t105 @t191)) % 0.61/0.82 (define @t194 () (or @t192 @t105 @t191)) % 0.61/0.82 (define @t195 () (forall @t16 @t194)) % 0.61/0.82 (define @t196 () (or @t181 @t135 @t195)) % 0.61/0.82 (define @t197 () (or @t181 @t135 @t194)) % 0.61/0.82 (define @t198 () (or @t192 @t105 @t181 @t135 @t191)) % 0.61/0.82 (define @t199 () (or @t105 @t181 @t135 @t191)) % 0.61/0.82 (define @t200 () (or @t135 @t191)) % 0.61/0.82 (define @t201 () (not (= @t1 @t1))) % 0.61/0.82 (define @t202 () (or @t135 @t201 @t191)) % 0.61/0.82 (define @t203 () (and (or (not (= @t10 tptp.nil)) @t190) @t96)) % 0.61/0.82 (define @t204 () (not @t13)) % 0.61/0.82 (define @t205 () (or @t106 @t204 @t106 @t203)) % 0.61/0.82 (define @t206 () (or @t204 @t106 @t203)) % 0.61/0.82 (define @t207 () (forall @t14 @t206)) % 0.61/0.82 (define @t208 () (or @t105 @t181 @t207)) % 0.61/0.82 (define @t209 () (or @t105 @t181 @t206)) % 0.61/0.82 (define @t210 () (or @t204 @t106 @t105 @t181 @t203)) % 0.61/0.82 (define @t211 () (or @t106 @t105 @t181 @t203)) % 0.61/0.82 (define @t212 () (tptp.neq @t150 tptp.nil)) % 0.61/0.82 (define @t213 () (not @t212)) % 0.61/0.82 (define @t214 () (or @t213 @t154)) % 0.61/0.82 (define @t215 () (= tptp.nil @t150)) % 0.61/0.82 (define @t216 () (not @t215)) % 0.61/0.82 (define @t217 () (= tptp.nil @t149)) % 0.61/0.82 (define @t218 () (not @t217)) % 0.61/0.82 (define @t219 () (or @t218 @t216)) % 0.61/0.82 (define @t220 () (and @t219 @t214)) % 0.61/0.82 (define @t221 () (tptp.segmentP @t149 @t150)) % 0.61/0.82 (define @t222 () (and @t212 @t221)) % 0.61/0.82 (define @t223 () (tptp.neq @t149 tptp.nil)) % 0.61/0.82 (define @t224 () (not @t223)) % 0.61/0.82 (define @t225 () (or @t224 @t222)) % 0.61/0.82 (define @t226 () (or @t218 @t215)) % 0.61/0.82 (define @t227 () (and @t226 @t225)) % 0.61/0.82 (define @t228 () (or @t156 @t158 @t227 @t220)) % 0.61/0.82 (define @t229 () (not @t228)) % 0.61/0.82 (define @t230 () (not @t148)) % 0.61/0.82 (define @t231 () (= @t150 tptp.nil)) % 0.61/0.82 (define @t232 () (not @t231)) % 0.61/0.82 (define @t233 () (or @t218 @t232)) % 0.61/0.82 (define @t234 () (and @t233 @t214)) % 0.61/0.82 (define @t235 () (or @t218 @t231)) % 0.61/0.82 (define @t236 () (and @t235 @t225)) % 0.61/0.82 (define @t237 () (or @t156 @t158 @t236 @t234)) % 0.61/0.82 (define @t238 () (not @t237)) % 0.61/0.82 (define @t239 () (@list true)) % 0.61/0.82 (define @t240 () (@list @t228)) % 0.61/0.82 (define @t241 () (tptp.rearsegP @t150 tptp.nil)) % 0.61/0.82 (define @t242 () (or @t156 @t241)) % 0.61/0.82 (define @t243 () (@list false false)) % 0.61/0.82 (define @t244 () (not @t218)) % 0.61/0.82 (define @t245 () (not @t154)) % 0.61/0.82 (define @t246 () (@var "BOUND_VARIABLE_8351" $$unsorted)) % 0.61/0.82 (define @t247 () (= (tptp.rearsegP @t2 @t246) (not (forall @t16 (or @t192 (not (= @t2 (tptp.app @t12 @t246)))))))) % 0.61/0.82 (define @t248 () (not (tptp.ssList @t246))) % 0.61/0.82 (define @t249 () (or @t248 @t247)) % 0.61/0.82 (define @t250 () (or @t122 @t249)) % 0.61/0.82 (define @t251 () (forall (@list @t2 @t246) @t250)) % 0.61/0.82 (define @t252 () (@list @t246)) % 0.61/0.82 (define @t253 () (forall @t252 @t250)) % 0.61/0.82 (define @t254 () (forall @t252 @t249)) % 0.61/0.82 (define @t255 () (or @t122 @t254)) % 0.61/0.82 (define @t256 () (= @t2 @t22)) % 0.61/0.82 (define @t257 () (= @t25 (not (forall @t16 (or @t192 (not @t256)))))) % 0.61/0.82 (define @t258 () (forall @t7 (or @t135 @t257))) % 0.61/0.82 (define @t259 () (and @t15 @t256)) % 0.61/0.82 (define @t260 () (forall @t16 (not @t259))) % 0.61/0.82 (define @t261 () (not @t260)) % 0.61/0.82 (define @t262 () (tptp.app @t12 @t150)) % 0.61/0.82 (define @t263 () (forall @t16 (or @t192 (not (= @t149 @t262))))) % 0.61/0.82 (define @t264 () (not @t263)) % 0.61/0.82 (define @t265 () (= @t153 @t264)) % 0.61/0.82 (define @t266 () (or @t158 @t156 @t265)) % 0.61/0.82 (define @t267 () (@list false false false)) % 0.61/0.82 (define @t268 () (@var "BOUND_VARIABLE_8387" $$unsorted)) % 0.61/0.82 (define @t269 () (@var "BOUND_VARIABLE_8410" $$unsorted)) % 0.61/0.82 (define @t270 () (not (tptp.ssList @t268))) % 0.61/0.82 (define @t271 () (@list @t12 @t268)) % 0.61/0.82 (define @t272 () (= (tptp.segmentP @t2 @t269) (not (forall @t271 (or @t192 @t270 (not (= @t2 (tptp.app (tptp.app @t12 @t269) @t268)))))))) % 0.61/0.82 (define @t273 () (not (tptp.ssList @t269))) % 0.61/0.82 (define @t274 () (or @t273 @t272)) % 0.61/0.82 (define @t275 () (or @t122 @t274)) % 0.61/0.82 (define @t276 () (forall (@list @t2 @t269) @t275)) % 0.61/0.82 (define @t277 () (@list @t269)) % 0.61/0.82 (define @t278 () (forall @t277 @t275)) % 0.61/0.82 (define @t279 () (forall @t277 @t274)) % 0.61/0.82 (define @t280 () (or @t122 @t279)) % 0.61/0.82 (define @t281 () (not (= @t2 (tptp.app @t22 @t268)))) % 0.61/0.82 (define @t282 () (or @t192 @t270 @t281)) % 0.61/0.82 (define @t283 () (= @t36 (not (forall @t271 @t282)))) % 0.61/0.82 (define @t284 () (forall @t7 (or @t135 @t283))) % 0.61/0.82 (define @t285 () (or @t270 @t281)) % 0.61/0.82 (define @t286 () (or @t192 @t285)) % 0.61/0.82 (define @t287 () (forall @t271 @t286)) % 0.61/0.82 (define @t288 () (@list @t268)) % 0.61/0.82 (define @t289 () (forall @t288 @t286)) % 0.61/0.82 (define @t290 () (forall @t288 @t285)) % 0.61/0.82 (define @t291 () (or @t192 @t290)) % 0.61/0.82 (define @t292 () (= @t2 @t31)) % 0.61/0.82 (define @t293 () (forall @t14 (or @t204 (not @t292)))) % 0.61/0.82 (define @t294 () (not @t293)) % 0.61/0.82 (define @t295 () (and @t15 @t294)) % 0.61/0.82 (define @t296 () (forall @t16 (not @t295))) % 0.61/0.82 (define @t297 () (not @t296)) % 0.61/0.82 (define @t298 () (and @t13 @t292)) % 0.61/0.82 (define @t299 () (forall @t14 (not @t298))) % 0.61/0.82 (define @t300 () (not @t299)) % 0.61/0.82 (define @t301 () (forall @t271 (or @t192 @t270 (not (= @t149 (tptp.app @t262 @t268)))))) % 0.61/0.82 (define @t302 () (not @t301)) % 0.61/0.82 (define @t303 () (= @t221 @t302)) % 0.61/0.82 (define @t304 () (or @t158 @t156 @t303)) % 0.61/0.82 (define @t305 () (not @t303)) % 0.61/0.82 (define @t306 () (@quantifiers_skolemize @t263 0)) % 0.61/0.82 (define @t307 () (tptp.app @t306 @t150)) % 0.61/0.82 (define @t308 () (= @t149 @t307)) % 0.61/0.82 (define @t309 () (not @t308)) % 0.61/0.82 (define @t310 () (tptp.ssList @t306)) % 0.61/0.82 (define @t311 () (not @t310)) % 0.61/0.82 (define @t312 () (or @t311 @t309)) % 0.61/0.82 (define @t313 () (not @t312)) % 0.61/0.82 (define @t314 () (= @t149 (tptp.app @t307 tptp.nil))) % 0.61/0.82 (define @t315 () (not @t314)) % 0.61/0.82 (define @t316 () (not @t55)) % 0.61/0.82 (define @t317 () (or @t311 @t316 @t315)) % 0.61/0.82 (define @t318 () (not @t317)) % 0.61/0.82 (define @t319 () (= @t2 @t92)) % 0.61/0.82 (define @t320 () (tptp.app @t149 tptp.nil)) % 0.61/0.82 (define @t321 () (= @t149 @t320)) % 0.61/0.82 (define @t322 () (or @t158 @t321)) % 0.61/0.82 (define @t323 () (and @t321 @t308)) % 0.61/0.82 (define @t324 () (and @t217 @t241)) % 0.61/0.82 (define @t325 () (= @t82 @t142)) % 0.61/0.82 (define @t326 () (tptp.rearsegP tptp.nil @t150)) % 0.61/0.82 (define @t327 () (or @t156 (= @t326 @t231))) % 0.61/0.82 (define @t328 () (forall @t9 (or @t122 @t325))) % 0.61/0.82 (define @t329 () (= @t215 @t326)) % 0.61/0.82 (define @t330 () (or @t156 @t329)) % 0.61/0.82 (define @t331 () (not @t326)) % 0.61/0.82 (define @t332 () (and @t217 @t154)) % 0.61/0.82 (define @t333 () (and @t217 @t162)) % 0.61/0.82 (define @t334 () (not @t162)) % 0.61/0.82 (define @t335 () (@list true false)) % 0.61/0.82 (define @t336 () (@list @t225)) % 0.61/0.82 (define @t337 () (@list @t312)) % 0.61/0.82 (define @t338 () (and @t223 @t162)) % 0.61/0.82 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.61/0.82 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.61/0.82 (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))))))))))) % 0.61/0.82 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.61/0.82 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.61/0.82 (assume @p6 @t30) % 0.61/0.82 (assume @p7 @t41) % 0.61/0.82 (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))))))))))))))))) % 0.61/0.82 (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)))))))))))))))) % 0.61/0.82 (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))))))))))))))))) % 0.61/0.82 (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))))))))))))))) % 0.61/0.82 (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))))))))))))))) % 0.61/0.82 (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)))))))))))))))) % 0.61/0.82 (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))))))))))))) % 0.61/0.82 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.61/0.82 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t54)))))) % 0.61/0.82 (assume @p17 @t55) % 0.61/0.82 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t54 @t2))))))) % 0.61/0.82 (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))))))))))) % 0.61/0.82 (assume @p20 (forall @t9 (=> @t17 (or @t58 (exists @t7 (and @t21 (exists @t16 (and @t51 (= @t57 @t2))))))))) % 0.61/0.82 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 0.61/0.82 (assume @p22 (forall @t9 (=> @t17 (=> @t60 (tptp.ssItem @t59))))) % 0.61/0.82 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 0.61/0.82 (assume @p24 (forall @t9 (=> @t17 (=> @t60 (tptp.ssList @t61))))) % 0.61/0.82 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t54) @t2)))))) % 0.61/0.82 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t62)))))) % 0.61/0.82 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t51 (= (tptp.cons @t12 @t63) (tptp.app @t57 @t2))))))))) % 0.61/0.82 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.61/0.82 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t65 @t64) @t3)))))) % 0.61/0.82 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t65 @t43) (tptp.leq @t2 @t12))))))))) % 0.61/0.82 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.61/0.82 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t64)))))) % 0.61/0.82 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t68 (not @t67))))))) % 0.61/0.82 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t68 @t52) @t69)))))))) % 0.61/0.82 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 @t67)))))) % 0.61/0.82 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t71))))))))) % 0.61/0.82 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t71))))))))) % 0.61/0.82 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.61/0.82 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.61/0.82 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.61/0.82 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.61/0.82 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.61/0.82 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.61/0.82 (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)))))))))))) % 0.61/0.82 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.61/0.82 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t58)))) % 0.61/0.82 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t25 @t72) (tptp.rearsegP @t2 @t12))))))))) % 0.61/0.82 (assume @p48 @t78) % 0.61/0.82 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.61/0.82 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t25 (tptp.rearsegP @t79 @t1))))))))) % 0.61/0.82 (assume @p51 @t81) % 0.61/0.82 (assume @p52 @t84) % 0.61/0.82 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t36 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.61/0.82 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t36 @t85) @t3)))))) % 0.61/0.82 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.61/0.82 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t36 (tptp.segmentP (tptp.app @t79 @t10) @t1))))))))))) % 0.61/0.82 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.61/0.82 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t58)))) % 0.61/0.82 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t86)))) % 0.61/0.82 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.61/0.82 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t86)))) % 0.61/0.82 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.61/0.82 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t86)))) % 0.61/0.82 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.61/0.82 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t86)))) % 0.61/0.82 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.61/0.82 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t90) (or @t88 (and @t89 (tptp.totalorderedP @t1) (tptp.leq @t2 @t87))))))))) % 0.61/0.82 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t86)))) % 0.61/0.82 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.61/0.82 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t90) (or @t88 (and @t89 (tptp.strictorderedP @t1) (tptp.lt @t2 @t87))))))))) % 0.61/0.82 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t86)))) % 0.61/0.82 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.61/0.82 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t86)))) % 0.61/0.82 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.61/0.82 (assume @p75 (forall @t9 (=> @t17 (=> @t60 (exists @t7 (and @t6 (= @t59 @t1))))))) % 0.61/0.82 (assume @p76 (forall @t9 (=> @t17 (=> @t60 (exists @t7 (and @t21 (= @t61 @t1))))))) % 0.61/0.82 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t89 @t60 (= @t87 @t59) (= (tptp.tl @t1) @t61)) @t56)))))) % 0.61/0.82 (assume @p78 (forall @t9 (=> @t17 (=> @t60 (= (tptp.cons @t59 @t61) @t2))))) % 0.61/0.82 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t62) @t91)))))))) % 0.61/0.82 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t63) @t91)))))))) % 0.61/0.82 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 0.61/0.82 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t62 @t12) (tptp.app @t2 @t19))))))))) % 0.61/0.82 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t62) (and @t88 @t58))))))) % 0.61/0.82 (assume @p84 @t94) % 0.61/0.82 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t60 (= (tptp.hd @t62) @t59))))))) % 0.61/0.82 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t60 (= (tptp.tl @t62) (tptp.app @t61 @t1)))))))) % 0.61/0.82 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t66 (tptp.geq @t1 @t2)) @t3)))))) % 0.61/0.82 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t66 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.61/0.82 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.61/0.82 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.61/0.82 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t65 @t52) @t69)))))))) % 0.61/0.82 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (or @t3 @t68))))))) % 0.61/0.82 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 (and @t4 @t65))))))) % 0.61/0.82 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not (tptp.gt @t1 @t2)))))))) % 0.61/0.82 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t70 (tptp.gt @t1 @t12)) (tptp.gt @t2 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@p542 :rule implies_elim :premises (@p539)) % 0.61/0.82 (step @p543 :rule cnf_and_neg :args (@t324)) % 0.61/0.82 (step @p544 :rule resolution :premises (@p543 @p542) :args (true @t324)) % 0.61/0.82 (step @p545 :rule reordering :premises (@p544) :args ((or @t218 @t151 (not @t241)))) % 0.61/0.82 (step @p546 :rule chain_m_resolution :premises (@p545 @p523 @p323) :args (@t151 @t243 (@list @t217 @t241))) % 0.61/0.82 (step @p547 :rule bool-double-not-elim :args (@t215)) % 0.61/0.82 (step @p548 :rule nary_cong :premises (@p330 @p547) :args ((or @t219 (not @t216)))) % 0.61/0.82 (step @p549 :rule cnf_or_neg :args (@t219 1)) % 0.61/0.82 (step @p550 :rule eq_resolve :premises (@p549 @p548)) % 0.61/0.82 (step @p551 :rule reordering :premises (@p550) :args ((or @t215 @t219))) % 0.61/0.82 (step @p552 :rule bool-impl-elim :args (@t17 @t325)) % 0.61/0.82 (step @p553 :rule cong :premises (@p552) :args ((forall @t9 (=> @t17 @t325)))) % 0.61/0.82 (step @p554 :rule eq-symm :args (@t142 @t82)) % 0.61/0.82 (step @p555 :rule refl :args (@t82)) % 0.61/0.82 (step @p556 :rule cong :premises (@p266 @p555) :args ((= @t58 @t82))) % 0.61/0.82 (step @p557 :rule trans :premises (@p556 @p554)) % 0.61/0.82 (step @p558 :rule eq-symm :args (@t82 @t58)) % 0.61/0.82 (step @p559 :rule trans :premises (@p558 @p557)) % 0.61/0.82 (step @p560 :rule cong :premises (@p127 @p559) :args (@t83)) % 0.61/0.82 (step @p561 :rule cong :premises (@p560) :args (@t84)) % 0.61/0.82 (step @p562 :rule trans :premises (@p561 @p553)) % 0.61/0.82 (step @p563 :rule eq_resolve :premises (@p52 @p562)) % 0.61/0.82 (step @p564 :rule refl :args (@t326)) % 0.61/0.82 (step @p565 :rule cong :premises (@p294 @p564) :args ((= @t231 @t326))) % 0.61/0.82 (step @p566 :rule eq-symm :args (@t326 @t231)) % 0.61/0.82 (step @p567 :rule trans :premises (@p566 @p565)) % 0.61/0.82 (step @p568 :rule nary_cong :premises (@p135 @p567) :args (@t327)) % 0.61/0.82 (step @p569 :rule refl :args (@t328)) % 0.61/0.82 (step @p570 :rule cong :premises (@p569 @p568) :args ((=> @t328 @t327))) % 0.61/0.82 (assume-push @p692 @t328) % 0.61/0.82 (step @p572 :rule instantiate :premises (@p563) :args (@t165)) % 0.61/0.82 (step-pop @p693 :rule scope :premises (@p572)) % 0.61/0.82 (step @p573 :rule process_scope :premises (@p693) :args (@t327)) % 0.61/0.82 (step @p575 :rule eq_resolve :premises (@p573 @p570)) % 0.61/0.82 (step @p576 :rule implies_elim :premises (@p575)) % 0.61/0.82 (step @p577 :rule chain_m_resolution :premises (@p576 @p563) :args (@t330 @t164 (@list @t328))) % 0.61/0.82 (step @p578 :rule cnf_or_pos :args (@t330)) % 0.61/0.82 (step @p579 :rule reordering :premises (@p578) :args ((or @t156 @t329 (not @t330)))) % 0.61/0.82 (step @p580 :rule chain_m_resolution :premises (@p579 @p320 @p577) :args (@t329 @t243 (@list @t155 @t330))) % 0.61/0.82 (step @p581 :rule cnf_equiv_pos1 :args (@t329)) % 0.61/0.82 (step @p582 :rule reordering :premises (@p581) :args ((or @t216 @t326 (not @t329)))) % 0.61/0.82 (step @p583 :rule refl :args (@t331)) % 0.61/0.82 (step @p584 :rule nary_cong :premises (@p296 @p347 @p583) :args ((or @t218 @t245 @t331))) % 0.61/0.82 (assume-push @p694 @t217) % 0.61/0.82 (assume-push @p695 @t154) % 0.61/0.82 (assume-push @p696 @t154) % 0.61/0.82 (assume-push @p697 @t217) % 0.61/0.82 (step @p589 :rule false_intro :premises (@p695)) % 0.61/0.82 (step @p530 :rule refl :args (@t150)) % 0.61/0.82 (step @p590 :rule cong :premises (@p694 @p530) :args (@t326)) % 0.61/0.82 (step @p591 :rule trans :premises (@p590 @p589)) % 0.61/0.82 (step @p592 :rule false_elim :premises (@p591)) % 0.61/0.82 (step-pop @p698 :rule scope :premises (@p592)) % 0.61/0.82 (step-pop @p699 :rule scope :premises (@p698)) % 0.61/0.82 (step @p593 :rule process_scope :premises (@p699) :args (@t331)) % 0.61/0.82 (step @p596 :rule and_intro :premises (@p695 @p694)) % 0.61/0.82 (step @p597 :rule modus_ponens :premises (@p596 @p593)) % 0.61/0.82 (step-pop @p700 :rule scope :premises (@p597)) % 0.61/0.82 (step-pop @p701 :rule scope :premises (@p700)) % 0.61/0.82 (step @p598 :rule process_scope :premises (@p701) :args (@t331)) % 0.61/0.82 (step @p601 :rule implies_elim :premises (@p598)) % 0.61/0.82 (step @p602 :rule cnf_and_neg :args (@t332)) % 0.61/0.82 (step @p603 :rule resolution :premises (@p602 @p601) :args (true @t332)) % 0.61/0.82 (step @p604 :rule eq_resolve :premises (@p603 @p584)) % 0.61/0.82 (step @p605 :rule chain_m_resolution :premises (@p604 @p523 @p582 @p580 @p551 @p340 @p339 @p351) :args (@t153 (@list false false false false true true false) (@list @t217 @t326 @t329 @t215 @t219 @t220 @t214))) % 0.61/0.82 (step @p606 :rule cnf_or_pos :args (@t163)) % 0.61/0.82 (step @p607 :rule reordering :premises (@p606) :args ((or @t156 @t158 @t154 @t152 @t162 (not @t163)))) % 0.61/0.82 (step @p608 :rule chain_m_resolution :premises (@p607 @p320 @p393 @p605 @p546 @p146) :args (@t162 (@list false false false false false) (@list @t155 @t157 @t153 @t151 @t163))) % 0.61/0.82 (assume-push @p702 @t217) % 0.61/0.82 (assume-push @p703 @t162) % 0.61/0.82 (assume-push @p704 @t162) % 0.61/0.82 (assume-push @p705 @t217) % 0.61/0.82 (step @p613 :rule symm :premises (@p703)) % 0.61/0.82 (step @p614 :rule trans :premises (@p702 @p613)) % 0.61/0.82 (step-pop @p706 :rule scope :premises (@p614)) % 0.61/0.82 (step-pop @p707 :rule scope :premises (@p706)) % 0.61/0.82 (step @p615 :rule process_scope :premises (@p707) :args (@t215)) % 0.61/0.82 (step @p618 :rule and_intro :premises (@p703 @p702)) % 0.61/0.82 (step @p619 :rule modus_ponens :premises (@p618 @p615)) % 0.61/0.82 (step-pop @p708 :rule scope :premises (@p619)) % 0.61/0.82 (step-pop @p709 :rule scope :premises (@p708)) % 0.61/0.82 (step @p620 :rule process_scope :premises (@p709) :args (@t215)) % 0.61/0.82 (step @p623 :rule implies_elim :premises (@p620)) % 0.61/0.82 (step @p624 :rule cnf_and_neg :args (@t333)) % 0.61/0.82 (step @p625 :rule resolution :premises (@p624 @p623) :args (true @t333)) % 0.61/0.82 (step @p626 :rule reordering :premises (@p625) :args ((or @t218 @t215 @t334))) % 0.61/0.82 (step @p627 :rule chain_m_resolution :premises (@p626 @p523 @p608) :args (@t215 @t243 (@list @t217 @t162))) % 0.61/0.82 (step @p628 :rule cnf_or_neg :args (@t226 1)) % 0.61/0.82 (step @p629 :rule chain_m_resolution :premises (@p628 @p627) :args (@t226 @t164 (@list @t215))) % 0.61/0.82 (step @p630 :rule chain_m_resolution :premises (@p337 @p336 @p629) :args ((not @t225) @t335 (@list @t227 @t226))) % 0.61/0.82 (step @p631 :rule bool-double-not-elim :args (@t223)) % 0.61/0.82 (step @p632 :rule nary_cong :premises (@p299 @p631) :args ((or @t225 (not @t224)))) % 0.61/0.82 (step @p633 :rule cnf_or_neg :args (@t225 0)) % 0.61/0.82 (step @p634 :rule eq_resolve :premises (@p633 @p632)) % 0.61/0.82 (step @p635 :rule reordering :premises (@p634) :args ((or @t223 @t225))) % 0.61/0.82 (step @p636 :rule chain_m_resolution :premises (@p635 @p630) :args (@t223 @t239 @t336)) % 0.61/0.82 (step @p637 :rule chain_m_resolution :premises (@p398 @p605 @p396) :args (@t264 @t243 (@list @t153 @t265))) % 0.61/0.82 (step @p638 :rule chain_m_resolution :premises (@p475 @p637) :args (@t313 @t239 (@list @t263))) % 0.61/0.82 (step @p639 :rule chain_m_resolution :premises (@p491 @p638) :args (@t308 @t239 @t337)) % 0.61/0.82 (step @p640 :rule chain_m_resolution :premises (@p522 @p504 @p639) :args (@t314 @t243 (@list @t321 @t308))) % 0.61/0.82 (step @p641 :rule chain_m_resolution :premises (@p486 @p638) :args (@t310 @t239 @t337)) % 0.61/0.82 (step @p642 :rule chain_m_resolution :premises (@p493 @p17 @p641 @p640) :args (@t318 @t267 (@list @t55 @t310 @t314))) % 0.61/0.82 (step @p643 :rule chain_m_resolution :premises (@p480 @p642) :args (@t302 @t239 (@list @t317))) % 0.61/0.82 (step @p644 :rule chain_m_resolution :premises (@p466 @p643 @p459) :args (@t221 @t335 (@list @t301 @t303))) % 0.61/0.82 (step @p645 :rule chain_m_resolution :premises (@p341 @p630) :args ((not @t222) @t239 @t336)) % 0.61/0.82 (step @p646 :rule chain_m_resolution :premises (@p352 @p645 @p644) :args (@t213 @t335 (@list @t222 @t221))) % 0.61/0.82 (assume-push @p710 @t223) % 0.61/0.82 (assume-push @p711 @t162) % 0.61/0.82 (assume-push @p712 @t223) % 0.61/0.82 (assume-push @p713 @t162) % 0.61/0.82 (step @p651 :rule true_intro :premises (@p710)) % 0.61/0.82 (step @p509 :rule refl :args (tptp.nil)) % 0.61/0.82 (step @p652 :rule cong :premises (@p711 @p509) :args (@t212)) % 0.61/0.82 (step @p653 :rule trans :premises (@p652 @p651)) % 0.61/0.82 (step @p654 :rule true_elim :premises (@p653)) % 0.61/0.82 (step-pop @p714 :rule scope :premises (@p654)) % 0.61/0.82 (step-pop @p715 :rule scope :premises (@p714)) % 0.61/0.82 (step @p655 :rule process_scope :premises (@p715) :args (@t212)) % 0.61/0.82 (step @p658 :rule and_intro :premises (@p710 @p711)) % 0.61/0.82 (step @p659 :rule modus_ponens :premises (@p658 @p655)) % 0.61/0.82 (step-pop @p716 :rule scope :premises (@p659)) % 0.61/0.82 (step-pop @p717 :rule scope :premises (@p716)) % 0.61/0.82 (step @p660 :rule process_scope :premises (@p717) :args (@t212)) % 0.61/0.82 (step @p663 :rule implies_elim :premises (@p660)) % 0.61/0.82 (step @p664 :rule cnf_and_neg :args (@t338)) % 0.61/0.82 (step @p665 :rule resolution :premises (@p664 @p663) :args (true @t338)) % 0.61/0.82 (step @p666 :rule reordering :premises (@p665) :args ((or @t224 @t212 @t334))) % 0.61/0.82 (step @p667 false :rule chain_m_resolution :premises (@p666 @p646 @p636 @p608) :args (false (@list true false false) (@list @t212 @t223 @t162))) % 0.61/0.82 ) % 0.61/0.82 % SZS output end Proof % 0.61/0.82 % cvc5 exiting %------------------------------------------------------------------------------