%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC393+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 : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:09 AM UTC 2026 % Result : Theorem 65.07s 65.36s % Output : Proof 65.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC393+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n026.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:45:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 65.07/65.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 65.07/65.36 --- Run --no-e-matching --full-saturate-quant at 6... % 65.07/65.36 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 65.07/65.36 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 65.07/65.36 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 65.07/65.36 --- Run --trigger-sel=max --full-saturate-quant at 15... % 65.07/65.36 % SZS status Theorem % 65.07/65.36 % SZS output start Proof % 65.07/65.36 ( % 65.07/65.36 (declare-sort $$unsorted 0) % 65.07/65.36 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 65.07/65.36 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 65.07/65.36 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 65.07/65.36 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 65.07/65.36 (declare-const tptp.nil $$unsorted) % 65.07/65.36 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.ssList (-> $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 65.07/65.36 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 65.07/65.36 (define @t1 () (@var "V" $$unsorted)) % 65.07/65.36 (define @t2 () (@var "U" $$unsorted)) % 65.07/65.36 (define @t3 () (= @t2 @t1)) % 65.07/65.36 (define @t4 () (not @t3)) % 65.07/65.36 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 65.07/65.36 (define @t6 () (tptp.ssItem @t1)) % 65.07/65.36 (define @t7 () (@list @t1)) % 65.07/65.36 (define @t8 () (tptp.ssItem @t2)) % 65.07/65.36 (define @t9 () (@list @t2)) % 65.07/65.36 (define @t10 () (@var "X" $$unsorted)) % 65.07/65.36 (define @t11 () (tptp.cons @t1 @t10)) % 65.07/65.36 (define @t12 () (@var "W" $$unsorted)) % 65.07/65.36 (define @t13 () (tptp.ssList @t10)) % 65.07/65.36 (define @t14 () (@list @t10)) % 65.07/65.36 (define @t15 () (tptp.ssList @t12)) % 65.07/65.36 (define @t16 () (@list @t12)) % 65.07/65.36 (define @t17 () (tptp.ssList @t2)) % 65.07/65.36 (define @t18 () (tptp.cons @t1 tptp.nil)) % 65.07/65.36 (define @t19 () (tptp.app @t1 @t12)) % 65.07/65.36 (define @t20 () (tptp.frontsegP @t2 @t1)) % 65.07/65.36 (define @t21 () (tptp.ssList @t1)) % 65.07/65.36 (define @t22 () (tptp.app @t12 @t1)) % 65.07/65.36 (define @t23 () (tptp.rearsegP @t2 @t1)) % 65.07/65.36 (define @t24 () (tptp.app @t22 @t10)) % 65.07/65.36 (define @t25 () (and @t13 (= @t24 @t2))) % 65.07/65.36 (define @t26 () (exists @t14 @t25)) % 65.07/65.36 (define @t27 () (and @t15 @t26)) % 65.07/65.36 (define @t28 () (exists @t16 @t27)) % 65.07/65.36 (define @t29 () (tptp.segmentP @t2 @t1)) % 65.07/65.36 (define @t30 () (= @t29 @t28)) % 65.07/65.36 (define @t31 () (=> @t21 @t30)) % 65.07/65.36 (define @t32 () (forall @t7 @t31)) % 65.07/65.36 (define @t33 () (=> @t17 @t32)) % 65.07/65.36 (define @t34 () (forall @t9 @t33)) % 65.07/65.36 (define @t35 () (tptp.leq @t12 @t1)) % 65.07/65.36 (define @t36 () (tptp.leq @t1 @t12)) % 65.07/65.36 (define @t37 () (@var "Z" $$unsorted)) % 65.07/65.36 (define @t38 () (@var "Y" $$unsorted)) % 65.07/65.36 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 65.07/65.36 (define @t40 () (tptp.ssList @t37)) % 65.07/65.36 (define @t41 () (@list @t37)) % 65.07/65.36 (define @t42 () (tptp.ssList @t38)) % 65.07/65.36 (define @t43 () (@list @t38)) % 65.07/65.36 (define @t44 () (tptp.ssItem @t12)) % 65.07/65.36 (define @t45 () (tptp.lt @t1 @t12)) % 65.07/65.36 (define @t46 () (= @t1 @t12)) % 65.07/65.36 (define @t47 () (forall @t7 (=> @t21 @t5))) % 65.07/65.36 (define @t48 () (=> @t17 @t47)) % 65.07/65.36 (define @t49 () (forall @t9 @t48)) % 65.07/65.36 (define @t50 () (tptp.cons @t1 @t2)) % 65.07/65.36 (define @t51 () (tptp.ssList tptp.nil)) % 65.07/65.36 (define @t52 () (= @t1 @t2)) % 65.07/65.36 (define @t53 () (tptp.cons @t12 @t1)) % 65.07/65.36 (define @t54 () (= tptp.nil @t2)) % 65.07/65.36 (define @t55 () (tptp.hd @t2)) % 65.07/65.36 (define @t56 () (not @t54)) % 65.07/65.36 (define @t57 () (tptp.tl @t2)) % 65.07/65.36 (define @t58 () (tptp.app @t2 @t1)) % 65.07/65.36 (define @t59 () (tptp.ssList @t58)) % 65.07/65.36 (define @t60 () (forall @t7 (=> @t21 @t59))) % 65.07/65.36 (define @t61 () (=> @t17 @t60)) % 65.07/65.36 (define @t62 () (forall @t9 @t61)) % 65.07/65.36 (define @t63 () (tptp.app @t1 @t2)) % 65.07/65.36 (define @t64 () (tptp.leq @t1 @t2)) % 65.07/65.36 (define @t65 () (tptp.leq @t2 @t1)) % 65.07/65.36 (define @t66 () (tptp.geq @t2 @t1)) % 65.07/65.36 (define @t67 () (tptp.lt @t1 @t2)) % 65.07/65.36 (define @t68 () (tptp.lt @t2 @t1)) % 65.07/65.36 (define @t69 () (tptp.lt @t2 @t12)) % 65.07/65.36 (define @t70 () (tptp.gt @t2 @t1)) % 65.07/65.36 (define @t71 () (tptp.memberP @t12 @t2)) % 65.07/65.36 (define @t72 () (tptp.memberP @t1 @t2)) % 65.07/65.36 (define @t73 () (= (tptp.memberP @t19 @t2) (or @t72 @t71))) % 65.07/65.36 (define @t74 () (forall @t16 (=> @t15 @t73))) % 65.07/65.36 (define @t75 () (=> @t21 @t74)) % 65.07/65.36 (define @t76 () (forall @t7 @t75)) % 65.07/65.36 (define @t77 () (=> @t8 @t76)) % 65.07/65.36 (define @t78 () (forall @t9 @t77)) % 65.07/65.36 (define @t79 () (not (tptp.memberP tptp.nil @t2))) % 65.07/65.36 (define @t80 () (forall @t9 (=> @t8 @t79))) % 65.07/65.36 (define @t81 () (tptp.app @t12 @t2)) % 65.07/65.36 (define @t82 () (tptp.segmentP @t1 @t12)) % 65.07/65.36 (define @t83 () (tptp.segmentP @t1 @t2)) % 65.07/65.36 (define @t84 () (tptp.cons @t2 tptp.nil)) % 65.07/65.36 (define @t85 () (tptp.hd @t1)) % 65.07/65.36 (define @t86 () (= tptp.nil @t1)) % 65.07/65.36 (define @t87 () (not @t86)) % 65.07/65.36 (define @t88 () (tptp.cons @t2 @t1)) % 65.07/65.36 (define @t89 () (= @t12 @t2)) % 65.07/65.36 (define @t90 () (not (tptp.neq @t12 tptp.nil))) % 65.07/65.36 (define @t91 () (and (tptp.neq @t10 tptp.nil) (or @t90 (not (tptp.segmentP @t10 @t12))))) % 65.07/65.36 (define @t92 () (not (= tptp.nil @t12))) % 65.07/65.36 (define @t93 () (and @t92 (= tptp.nil @t10))) % 65.07/65.36 (define @t94 () (tptp.memberP @t1 @t38)) % 65.07/65.36 (define @t95 () (not (tptp.memberP @t2 @t38))) % 65.07/65.36 (define @t96 () (or @t95 @t94)) % 65.07/65.36 (define @t97 () (tptp.ssItem @t38)) % 65.07/65.36 (define @t98 () (forall @t43 (=> @t97 @t96))) % 65.07/65.36 (define @t99 () (not (= @t2 @t12))) % 65.07/65.36 (define @t100 () (not (= @t1 @t10))) % 65.07/65.36 (define @t101 () (or @t100 @t99 @t98 @t93 @t91)) % 65.07/65.36 (define @t102 () (=> @t13 @t101)) % 65.07/65.36 (define @t103 () (forall @t14 @t102)) % 65.07/65.36 (define @t104 () (=> @t15 @t103)) % 65.07/65.36 (define @t105 () (forall @t16 @t104)) % 65.07/65.36 (define @t106 () (=> @t21 @t105)) % 65.07/65.36 (define @t107 () (forall @t7 @t106)) % 65.07/65.36 (define @t108 () (=> @t17 @t107)) % 65.07/65.36 (define @t109 () (forall @t9 @t108)) % 65.07/65.36 (define @t110 () (not @t109)) % 65.07/65.36 (define @t111 () (@var "BOUND_VARIABLE_10997" $$unsorted)) % 65.07/65.36 (define @t112 () (@var "BOUND_VARIABLE_10995" $$unsorted)) % 65.07/65.36 (define @t113 () (tptp.memberP @t112 @t111)) % 65.07/65.36 (define @t114 () (not (tptp.memberP @t2 @t111))) % 65.07/65.36 (define @t115 () (not (tptp.ssItem @t111))) % 65.07/65.36 (define @t116 () (not (tptp.neq @t2 tptp.nil))) % 65.07/65.36 (define @t117 () (and (tptp.neq @t112 tptp.nil) (or @t116 (not (tptp.segmentP @t112 @t2))))) % 65.07/65.36 (define @t118 () (not (= @t2 tptp.nil))) % 65.07/65.36 (define @t119 () (and @t118 (= @t112 tptp.nil))) % 65.07/65.36 (define @t120 () (not (tptp.ssList @t112))) % 65.07/65.36 (define @t121 () (not @t17)) % 65.07/65.36 (define @t122 () (or @t121 @t120 @t119 @t117 @t115 @t114 @t113)) % 65.07/65.36 (define @t123 () (or @t120 @t119 @t117 @t115 @t114 @t113)) % 65.07/65.36 (define @t124 () (or @t121 @t123)) % 65.07/65.36 (define @t125 () (@list @t2 @t112 @t111)) % 65.07/65.36 (define @t126 () (forall @t125 @t124)) % 65.07/65.36 (define @t127 () (@list @t112 @t111)) % 65.07/65.36 (define @t128 () (forall @t127 @t124)) % 65.07/65.36 (define @t129 () (forall @t127 @t123)) % 65.07/65.36 (define @t130 () (@var "BOUND_VARIABLE_10978" $$unsorted)) % 65.07/65.36 (define @t131 () (or @t121 @t129)) % 65.07/65.36 (define @t132 () (tptp.memberP @t1 @t130)) % 65.07/65.36 (define @t133 () (not (tptp.memberP @t2 @t130))) % 65.07/65.36 (define @t134 () (not (tptp.ssItem @t130))) % 65.07/65.36 (define @t135 () (tptp.neq @t1 tptp.nil)) % 65.07/65.36 (define @t136 () (and @t135 (or @t116 (not @t83)))) % 65.07/65.36 (define @t137 () (= @t1 tptp.nil)) % 65.07/65.36 (define @t138 () (and @t118 @t137)) % 65.07/65.36 (define @t139 () (not @t21)) % 65.07/65.36 (define @t140 () (or @t139 @t138 @t136 @t134 @t133 @t132)) % 65.07/65.36 (define @t141 () (@list @t1 @t130)) % 65.07/65.36 (define @t142 () (or @t121 (forall @t141 @t140))) % 65.07/65.36 (define @t143 () (or @t134 @t133 @t132)) % 65.07/65.36 (define @t144 () (or @t139 @t143 @t138 @t136)) % 65.07/65.36 (define @t145 () (forall @t141 @t144)) % 65.07/65.36 (define @t146 () (@list @t130)) % 65.07/65.36 (define @t147 () (forall @t146 @t144)) % 65.07/65.36 (define @t148 () (forall @t146 @t143)) % 65.07/65.36 (define @t149 () (or @t139 @t148 @t138 @t136)) % 65.07/65.36 (define @t150 () (not @t97)) % 65.07/65.36 (define @t151 () (or @t150 @t95 @t94)) % 65.07/65.36 (define @t152 () (forall @t43 @t151)) % 65.07/65.36 (define @t153 () (or @t139 @t152 @t138 @t136)) % 65.07/65.36 (define @t154 () (forall @t7 @t153)) % 65.07/65.36 (define @t155 () (or @t121 @t154)) % 65.07/65.36 (define @t156 () (or @t121 @t153)) % 65.07/65.36 (define @t157 () (or @t139 @t152 @t121 @t138 @t136)) % 65.07/65.36 (define @t158 () (or @t152 @t139 @t121 @t138 @t136)) % 65.07/65.36 (define @t159 () (or @t121 @t138 @t136)) % 65.07/65.36 (define @t160 () (not (= @t2 @t2))) % 65.07/65.36 (define @t161 () (or @t121 @t160 @t138 @t136)) % 65.07/65.36 (define @t162 () (and @t135 (or @t90 (not @t82)))) % 65.07/65.36 (define @t163 () (not (= @t12 tptp.nil))) % 65.07/65.36 (define @t164 () (and @t163 @t137)) % 65.07/65.36 (define @t165 () (not @t15)) % 65.07/65.36 (define @t166 () (or @t99 @t165 @t99 @t164 @t162)) % 65.07/65.36 (define @t167 () (or @t165 @t99 @t164 @t162)) % 65.07/65.36 (define @t168 () (forall @t16 @t167)) % 65.07/65.36 (define @t169 () (or @t152 @t139 @t168)) % 65.07/65.36 (define @t170 () (or @t152 @t139 @t167)) % 65.07/65.36 (define @t171 () (or @t165 @t99 @t152 @t139 @t164 @t162)) % 65.07/65.36 (define @t172 () (or @t99 @t152 @t139 @t164 @t162)) % 65.07/65.36 (define @t173 () (or @t139 @t164 @t162)) % 65.07/65.36 (define @t174 () (not (= @t1 @t1))) % 65.07/65.36 (define @t175 () (or @t139 @t174 @t164 @t162)) % 65.07/65.36 (define @t176 () (and @t163 (= @t10 tptp.nil))) % 65.07/65.36 (define @t177 () (not @t13)) % 65.07/65.36 (define @t178 () (or @t100 @t177 @t100 @t176 @t91)) % 65.07/65.36 (define @t179 () (or @t177 @t100 @t176 @t91)) % 65.07/65.36 (define @t180 () (forall @t14 @t179)) % 65.07/65.36 (define @t181 () (or @t99 @t152 @t180)) % 65.07/65.36 (define @t182 () (or @t99 @t152 @t179)) % 65.07/65.36 (define @t183 () (or @t177 @t100 @t99 @t152 @t176 @t91)) % 65.07/65.36 (define @t184 () (or @t100 @t99 @t152 @t176 @t91)) % 65.07/65.36 (define @t185 () (forall @t125 (or @t121 @t120 (and @t118 (= tptp.nil @t112)) @t117 @t115 @t114 @t113))) % 65.07/65.36 (define @t186 () (@quantifiers_skolemize @t185 2)) % 65.07/65.36 (define @t187 () (@quantifiers_skolemize @t185 1)) % 65.07/65.36 (define @t188 () (tptp.memberP @t187 @t186)) % 65.07/65.36 (define @t189 () (@quantifiers_skolemize @t185 0)) % 65.07/65.36 (define @t190 () (tptp.memberP @t189 @t186)) % 65.07/65.36 (define @t191 () (not @t190)) % 65.07/65.36 (define @t192 () (tptp.ssItem @t186)) % 65.07/65.36 (define @t193 () (not @t192)) % 65.07/65.36 (define @t194 () (tptp.segmentP @t187 @t189)) % 65.07/65.36 (define @t195 () (not @t194)) % 65.07/65.36 (define @t196 () (or (not (tptp.neq @t189 tptp.nil)) @t195)) % 65.07/65.36 (define @t197 () (tptp.neq @t187 tptp.nil)) % 65.07/65.36 (define @t198 () (and @t197 @t196)) % 65.07/65.36 (define @t199 () (= tptp.nil @t187)) % 65.07/65.36 (define @t200 () (= tptp.nil @t189)) % 65.07/65.36 (define @t201 () (not @t200)) % 65.07/65.36 (define @t202 () (and @t201 @t199)) % 65.07/65.36 (define @t203 () (tptp.ssList @t187)) % 65.07/65.36 (define @t204 () (not @t203)) % 65.07/65.36 (define @t205 () (tptp.ssList @t189)) % 65.07/65.36 (define @t206 () (not @t205)) % 65.07/65.36 (define @t207 () (or @t206 @t204 @t202 @t198 @t193 @t191 @t188)) % 65.07/65.36 (define @t208 () (not @t207)) % 65.07/65.36 (define @t209 () (not @t185)) % 65.07/65.36 (define @t210 () (not (= @t189 tptp.nil))) % 65.07/65.36 (define @t211 () (and @t210 @t199)) % 65.07/65.36 (define @t212 () (or @t206 @t204 @t211 @t198 @t193 @t191 @t188)) % 65.07/65.36 (define @t213 () (not @t212)) % 65.07/65.36 (define @t214 () (@list true)) % 65.07/65.36 (define @t215 () (@list @t207)) % 65.07/65.36 (define @t216 () (@var "BOUND_VARIABLE_8387" $$unsorted)) % 65.07/65.36 (define @t217 () (@var "BOUND_VARIABLE_8410" $$unsorted)) % 65.07/65.36 (define @t218 () (not (tptp.ssList @t216))) % 65.07/65.36 (define @t219 () (@list @t12 @t216)) % 65.07/65.36 (define @t220 () (= (tptp.segmentP @t2 @t217) (not (forall @t219 (or @t165 @t218 (not (= @t2 (tptp.app (tptp.app @t12 @t217) @t216)))))))) % 65.07/65.36 (define @t221 () (not (tptp.ssList @t217))) % 65.07/65.36 (define @t222 () (or @t221 @t220)) % 65.07/65.36 (define @t223 () (or @t121 @t222)) % 65.07/65.36 (define @t224 () (forall (@list @t2 @t217) @t223)) % 65.07/65.36 (define @t225 () (@list @t217)) % 65.07/65.36 (define @t226 () (forall @t225 @t223)) % 65.07/65.36 (define @t227 () (forall @t225 @t222)) % 65.07/65.36 (define @t228 () (@list @t1)) % 65.07/65.36 (define @t229 () (or @t121 @t227)) % 65.07/65.36 (define @t230 () (not (= @t2 (tptp.app @t22 @t216)))) % 65.07/65.36 (define @t231 () (or @t165 @t218 @t230)) % 65.07/65.36 (define @t232 () (= @t29 (not (forall @t219 @t231)))) % 65.07/65.36 (define @t233 () (forall @t7 (or @t139 @t232))) % 65.07/65.36 (define @t234 () (or @t218 @t230)) % 65.07/65.36 (define @t235 () (or @t165 @t234)) % 65.07/65.36 (define @t236 () (forall @t219 @t235)) % 65.07/65.36 (define @t237 () (@list @t216)) % 65.07/65.36 (define @t238 () (forall @t237 @t235)) % 65.07/65.36 (define @t239 () (forall @t237 @t234)) % 65.07/65.36 (define @t240 () (or @t165 @t239)) % 65.07/65.36 (define @t241 () (= @t2 @t24)) % 65.07/65.36 (define @t242 () (forall @t14 (or @t177 (not @t241)))) % 65.07/65.36 (define @t243 () (not @t242)) % 65.07/65.36 (define @t244 () (and @t15 @t243)) % 65.07/65.36 (define @t245 () (forall @t16 (not @t244))) % 65.07/65.36 (define @t246 () (not @t245)) % 65.07/65.36 (define @t247 () (and @t13 @t241)) % 65.07/65.36 (define @t248 () (forall @t14 (not @t247))) % 65.07/65.36 (define @t249 () (not @t248)) % 65.07/65.36 (define @t250 () (forall @t219 (or @t165 @t218 (not (= @t187 (tptp.app (tptp.app @t12 @t189) @t216)))))) % 65.07/65.36 (define @t251 () (not @t250)) % 65.07/65.36 (define @t252 () (= @t194 @t251)) % 65.07/65.36 (define @t253 () (or @t204 @t206 @t252)) % 65.07/65.36 (define @t254 () (@list false false false)) % 65.07/65.36 (define @t255 () (@var "BOUND_VARIABLE_9105" $$unsorted)) % 65.07/65.36 (define @t256 () (= (tptp.neq @t2 @t255) (not (= @t2 @t255)))) % 65.07/65.36 (define @t257 () (not (tptp.ssList @t255))) % 65.07/65.36 (define @t258 () (or @t121 @t257 @t256)) % 65.07/65.36 (define @t259 () (or @t257 @t256)) % 65.07/65.36 (define @t260 () (or @t121 @t259)) % 65.07/65.36 (define @t261 () (@list @t2 @t255)) % 65.07/65.36 (define @t262 () (forall @t261 @t260)) % 65.07/65.36 (define @t263 () (@list @t255)) % 65.07/65.36 (define @t264 () (forall @t263 @t260)) % 65.07/65.36 (define @t265 () (forall @t263 @t259)) % 65.07/65.36 (define @t266 () (or @t121 @t265)) % 65.07/65.36 (define @t267 () (forall @t7 (or @t139 @t5))) % 65.07/65.36 (define @t268 () (not (= @t187 tptp.nil))) % 65.07/65.36 (define @t269 () (= @t197 @t268)) % 65.07/65.36 (define @t270 () (not @t51)) % 65.07/65.36 (define @t271 () (or @t204 @t270 @t269)) % 65.07/65.36 (define @t272 () (forall @t261 @t258)) % 65.07/65.36 (define @t273 () (not @t199)) % 65.07/65.36 (define @t274 () (= @t197 @t273)) % 65.07/65.36 (define @t275 () (or @t204 @t270 @t274)) % 65.07/65.36 (define @t276 () (@list false)) % 65.07/65.36 (define @t277 () (tptp.memberP tptp.nil @t186)) % 65.07/65.36 (define @t278 () (not @t277)) % 65.07/65.36 (define @t279 () (or @t193 @t278)) % 65.07/65.36 (define @t280 () (@list false false)) % 65.07/65.36 (define @t281 () (not @t274)) % 65.07/65.36 (define @t282 () (@list true false)) % 65.07/65.36 (define @t283 () (@quantifiers_skolemize @t250 1)) % 65.07/65.36 (define @t284 () (@quantifiers_skolemize @t250 0)) % 65.07/65.36 (define @t285 () (tptp.app @t284 @t189)) % 65.07/65.36 (define @t286 () (tptp.app @t285 @t283)) % 65.07/65.36 (define @t287 () (= @t187 @t286)) % 65.07/65.36 (define @t288 () (not @t287)) % 65.07/65.36 (define @t289 () (tptp.ssList @t283)) % 65.07/65.36 (define @t290 () (not @t289)) % 65.07/65.36 (define @t291 () (tptp.ssList @t284)) % 65.07/65.36 (define @t292 () (not @t291)) % 65.07/65.36 (define @t293 () (or @t292 @t290 @t288)) % 65.07/65.36 (define @t294 () (not @t293)) % 65.07/65.36 (define @t295 () (@list @t293)) % 65.07/65.36 (define @t296 () (@var "BOUND_VARIABLE_9658" $$unsorted)) % 65.07/65.36 (define @t297 () (@var "BOUND_VARIABLE_9656" $$unsorted)) % 65.07/65.36 (define @t298 () (= (tptp.memberP (tptp.app @t297 @t296) @t2) (or (tptp.memberP @t297 @t2) (tptp.memberP @t296 @t2)))) % 65.07/65.36 (define @t299 () (not (tptp.ssList @t296))) % 65.07/65.36 (define @t300 () (not (tptp.ssList @t297))) % 65.07/65.36 (define @t301 () (not @t8)) % 65.07/65.36 (define @t302 () (or @t300 @t299 @t298)) % 65.07/65.36 (define @t303 () (or @t301 @t302)) % 65.07/65.36 (define @t304 () (forall (@list @t2 @t297 @t296) @t303)) % 65.07/65.36 (define @t305 () (@list @t297 @t296)) % 65.07/65.36 (define @t306 () (forall @t305 @t303)) % 65.07/65.36 (define @t307 () (forall @t305 @t302)) % 65.07/65.36 (define @t308 () (@var "BOUND_VARIABLE_9637" $$unsorted)) % 65.07/65.36 (define @t309 () (or @t301 @t307)) % 65.07/65.36 (define @t310 () (= (tptp.memberP (tptp.app @t1 @t308) @t2) (or @t72 (tptp.memberP @t308 @t2)))) % 65.07/65.36 (define @t311 () (not (tptp.ssList @t308))) % 65.07/65.36 (define @t312 () (or @t139 @t311 @t310)) % 65.07/65.36 (define @t313 () (@list @t1 @t308)) % 65.07/65.36 (define @t314 () (forall @t313 @t312)) % 65.07/65.36 (define @t315 () (or @t311 @t310)) % 65.07/65.36 (define @t316 () (or @t139 @t315)) % 65.07/65.36 (define @t317 () (forall @t313 @t316)) % 65.07/65.36 (define @t318 () (@list @t308)) % 65.07/65.36 (define @t319 () (forall @t318 @t316)) % 65.07/65.36 (define @t320 () (forall @t318 @t315)) % 65.07/65.36 (define @t321 () (or @t139 @t320)) % 65.07/65.36 (define @t322 () (forall @t16 (or @t165 @t73))) % 65.07/65.36 (define @t323 () (or (tptp.memberP @t284 @t186) @t190)) % 65.07/65.36 (define @t324 () (@var "BOUND_VARIABLE_9370" $$unsorted)) % 65.07/65.36 (define @t325 () (tptp.ssList (tptp.app @t2 @t324))) % 65.07/65.36 (define @t326 () (not (tptp.ssList @t324))) % 65.07/65.36 (define @t327 () (or @t326 @t325)) % 65.07/65.36 (define @t328 () (or @t121 @t327)) % 65.07/65.36 (define @t329 () (forall (@list @t2 @t324) @t328)) % 65.07/65.36 (define @t330 () (@list @t324)) % 65.07/65.36 (define @t331 () (forall @t330 @t328)) % 65.07/65.36 (define @t332 () (forall @t330 @t327)) % 65.07/65.36 (define @t333 () (or @t121 @t332)) % 65.07/65.36 (define @t334 () (forall @t7 (or @t139 @t59))) % 65.07/65.36 (define @t335 () (tptp.ssList @t285)) % 65.07/65.36 (define @t336 () (or @t292 @t206 @t335)) % 65.07/65.36 (define @t337 () (tptp.memberP @t285 @t186)) % 65.07/65.36 (define @t338 () (or @t337 (tptp.memberP @t283 @t186))) % 65.07/65.36 (define @t339 () (tptp.memberP @t286 @t186)) % 65.07/65.36 (define @t340 () (= @t339 @t338)) % 65.07/65.36 (define @t341 () (not @t335)) % 65.07/65.36 (define @t342 () (or @t193 @t341 @t290 @t340)) % 65.07/65.36 (define @t343 () (not @t188)) % 65.07/65.36 (define @t344 () (not @t339)) % 65.07/65.36 (define @t345 () (and @t343 @t287)) % 65.07/65.36 (define @t346 () (not @t338)) % 65.07/65.36 (define @t347 () (= @t337 @t323)) % 65.07/65.36 (define @t348 () (not @t347)) % 65.07/65.36 (define @t349 () (or @t193 @t292 @t206 @t347)) % 65.07/65.36 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 65.07/65.36 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 65.07/65.36 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 65.07/65.36 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 65.07/65.36 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 65.07/65.36 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 65.07/65.36 (assume @p7 @t34) % 65.07/65.36 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not (and @t36 @t35))))))))))))))))) % 65.07/65.36 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t36 @t35)))))))))))))))) % 65.07/65.36 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t45 (tptp.lt @t12 @t1))))))))))))))))) % 65.07/65.36 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t36))))))))))))))) % 65.07/65.36 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t45))))))))))))))) % 65.07/65.36 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not @t46)))))))))))))))) % 65.07/65.36 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t38))) @t2) @t46))))))))))))) % 65.07/65.36 (assume @p15 @t49) % 65.07/65.36 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t50)))))) % 65.07/65.36 (assume @p17 @t51) % 65.07/65.36 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t50 @t2))))))) % 65.07/65.36 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t52))))))))))) % 65.07/65.36 (assume @p20 (forall @t9 (=> @t17 (or @t54 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t53 @t2))))))))) % 65.07/65.36 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t50))))))) % 65.07/65.36 (assume @p22 (forall @t9 (=> @t17 (=> @t56 (tptp.ssItem @t55))))) % 65.07/65.36 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t50) @t1)))))) % 65.07/65.36 (assume @p24 (forall @t9 (=> @t17 (=> @t56 (tptp.ssList @t57))))) % 65.07/65.36 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t50) @t2)))))) % 65.07/65.36 (assume @p26 @t62) % 65.07/65.36 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t63) (tptp.app @t53 @t2))))))))) % 65.07/65.36 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 65.07/65.36 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t65 @t64) @t3)))))) % 65.07/65.36 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t36) (tptp.leq @t2 @t12))))))))) % 65.07/65.36 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 65.07/65.36 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t64)))))) % 65.07/65.36 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t68 (not @t67))))))) % 65.07/65.36 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t68 @t45) @t69)))))))) % 65.07/65.36 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 @t67)))))) % 65.07/65.36 (assume @p36 @t78) % 65.07/65.36 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t71))))))))) % 65.07/65.36 (assume @p38 @t80) % 65.07/65.36 (assume @p39 (not (tptp.singletonP tptp.nil))) % 65.07/65.36 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 65.07/65.36 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 65.07/65.36 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 65.07/65.36 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 65.07/65.36 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 65.07/65.36 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 65.07/65.36 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t54)))) % 65.07/65.36 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 65.07/65.36 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 65.07/65.36 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 65.07/65.36 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t81 @t1))))))))) % 65.07/65.36 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 65.07/65.36 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t54)))) % 65.07/65.36 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 @t82) (tptp.segmentP @t2 @t12))))))))) % 65.07/65.36 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t83) @t3)))))) % 65.07/65.36 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 65.07/65.36 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t81 @t10) @t1))))))))))) % 65.07/65.36 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 65.07/65.36 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t54)))) % 65.07/65.36 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t84)))) % 65.07/65.36 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 65.07/65.36 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t84)))) % 65.07/65.36 (assume @p62 (tptp.totalorderP tptp.nil)) % 65.07/65.36 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t84)))) % 65.07/65.36 (assume @p64 (tptp.strictorderP tptp.nil)) % 65.07/65.36 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t84)))) % 65.07/65.36 (assume @p66 (tptp.totalorderedP tptp.nil)) % 65.07/65.36 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t88) (or @t86 (and @t87 (tptp.totalorderedP @t1) (tptp.leq @t2 @t85))))))))) % 65.07/65.36 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t84)))) % 65.07/65.36 (assume @p69 (tptp.strictorderedP tptp.nil)) % 65.07/65.36 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t88) (or @t86 (and @t87 (tptp.strictorderedP @t1) (tptp.lt @t2 @t85))))))))) % 65.07/65.36 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t84)))) % 65.07/65.36 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 65.07/65.36 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t84)))) % 65.07/65.36 (assume @p74 (tptp.equalelemsP tptp.nil)) % 65.07/65.36 (assume @p75 (forall @t9 (=> @t17 (=> @t56 (exists @t7 (and @t6 (= @t55 @t1))))))) % 65.07/65.36 (assume @p76 (forall @t9 (=> @t17 (=> @t56 (exists @t7 (and @t21 (= @t57 @t1))))))) % 65.07/65.36 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t87 @t56 (= @t85 @t55) (= (tptp.tl @t1) @t57)) @t52)))))) % 65.07/65.36 (assume @p78 (forall @t9 (=> @t17 (=> @t56 (= (tptp.cons @t55 @t57) @t2))))) % 65.07/65.36 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t58) @t89)))))))) % 65.07/65.36 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t63) @t89)))))))) % 65.07/65.36 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t50 (tptp.app @t18 @t2))))))) % 65.07/65.36 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> 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(=> (and @t65 @t45) @t69)))))))) % 65.07/65.36 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (or @t3 @t68))))))) % 65.07/65.36 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 (and @t4 @t65))))))) % 65.07/65.36 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not (tptp.gt @t1 @t2)))))))) % 65.07/65.36 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t70 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 65.07/65.36 (assume @p96 @t110) % 65.07/65.36 (assume @p97 true) % 65.07/65.36 (step @p98 :rule refl :args (@t113)) % 65.07/65.36 (step @p99 :rule refl :args (@t114)) % 65.07/65.36 (step @p100 :rule refl :args (@t115)) % 65.07/65.36 (step @p101 :rule refl :args (@t117)) % 65.07/65.36 (step @p102 :rule eq-symm :args (@t112 tptp.nil)) % 65.07/65.36 (step @p103 :rule refl :args (@t118)) % 65.07/65.36 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t119)) % 65.07/65.36 (step @p105 :rule refl :args 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65.07/65.36 (step @p191 :rule refl :args (@t164)) % 65.07/65.36 (step @p192 :rule eq-refl :args (@t1)) % 65.07/65.36 (step @p193 :rule cong :premises (@p192) :args (@t174)) % 65.07/65.36 (step @p194 :rule trans :premises (@p193 @p155)) % 65.07/65.36 (step @p195 :rule nary_cong :premises (@p174 @p194 @p191 @p190) :args (@t175)) % 65.07/65.36 (step @p196 :rule trans :premises (@p195 @p189)) % 65.07/65.36 (step @p197 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t177 @t100 @t176 @t91)) @t175))) % 65.07/65.36 (step @p198 :rule refl :args (@t91)) % 65.07/65.36 (step @p199 :rule refl :args (@t176)) % 65.07/65.36 (step @p200 :rule refl :args (@t100)) % 65.07/65.36 (step @p201 :rule refl :args (@t177)) % 65.07/65.36 (step @p202 :rule eq-symm :args (@t1 @t10)) % 65.07/65.36 (step @p203 :rule cong :premises (@p202) :args (@t100)) % 65.07/65.36 (step @p204 :rule nary_cong :premises (@p203 @p201 @p200 @p199 @p198) :args (@t178)) % 65.07/65.36 (step @p205 :rule aci_norm 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@p263 @p262 @p258 @p257 @p256 @p255) :args (@t212)) % 65.07/65.36 (step @p266 :rule cong :premises (@p265) :args (@t213)) % 65.07/65.36 (step @p267 :rule refl :args (@t209)) % 65.07/65.36 (step @p268 :rule cong :premises (@p267 @p266) :args ((=> @t209 @t213))) % 65.07/65.36 (assume-push @p599 @t209) % 65.07/65.36 (step @p270 :rule skolemize :premises (@p251)) % 65.07/65.36 (step-pop @p600 :rule scope :premises (@p270)) % 65.07/65.36 (step @p271 :rule process_scope :premises (@p600) :args (@t213)) % 65.07/65.36 (step @p273 :rule eq_resolve :premises (@p271 @p268)) % 65.07/65.36 (step @p274 :rule implies_elim :premises (@p273)) % 65.07/65.36 (step @p275 :rule eq_resolve :premises (@p274 @p254)) % 65.07/65.36 (step @p276 :rule chain_m_resolution :premises (@p275 @p251) :args (@t208 @t214 (@list @t185))) % 65.07/65.36 (step @p277 :rule bool-double-not-elim :args (@t205)) % 65.07/65.36 (step @p278 :rule refl :args (@t207)) % 65.07/65.36 (step @p279 :rule nary_cong :premises (@p278 @p277) 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:rule bool-impl-elim :args (@t17 @t334)) % 65.07/65.37 (step @p533 :rule cong :premises (@p532) :args ((forall @t9 (=> @t17 @t334)))) % 65.07/65.37 (step @p534 :rule trans :premises (@p533 @p531)) % 65.07/65.37 (step @p535 :rule bool-impl-elim :args (@t21 @t59)) % 65.07/65.37 (step @p536 :rule cong :premises (@p535) :args (@t60)) % 65.07/65.37 (step @p537 :rule cong :premises (@p246 @p536) :args (@t61)) % 65.07/65.37 (step @p538 :rule cong :premises (@p537) :args (@t62)) % 65.07/65.37 (step @p539 :rule trans :premises (@p538 @p534)) % 65.07/65.37 (step @p540 :rule eq_resolve :premises (@p26 @p539)) % 65.07/65.37 (step @p541 :rule instantiate :premises (@p540) :args ((@list @t284 @t189))) % 65.07/65.37 (step @p542 :rule cnf_or_pos :args (@t336)) % 65.07/65.37 (step @p543 :rule reordering :premises (@p542) :args ((or @t206 @t292 @t335 (not @t336)))) % 65.07/65.37 (step @p544 :rule chain_m_resolution :premises (@p543 @p283 @p476 @p541) :args (@t335 @t254 (@list @t205 @t291 @t336))) % 65.07/65.37 (step @p545 :rule bool-double-not-elim :args (@t289)) % 65.07/65.37 (step @p546 :rule nary_cong :premises (@p471 @p545) :args ((or @t293 (not @t290)))) % 65.07/65.37 (step @p547 :rule cnf_or_neg :args (@t293 1)) % 65.07/65.37 (step @p548 :rule eq_resolve :premises (@p547 @p546)) % 65.07/65.37 (step @p549 :rule reordering :premises (@p548) :args ((or @t289 @t293))) % 65.07/65.37 (step @p550 :rule chain_m_resolution :premises (@p549 @p469) :args (@t289 @t214 @t295)) % 65.07/65.37 (step @p551 :rule cnf_or_pos :args (@t342)) % 65.07/65.37 (step @p552 :rule reordering :premises (@p551) :args ((or @t193 @t290 @t341 @t340 (not @t342)))) % 65.07/65.37 (step @p553 :rule chain_m_resolution :premises (@p552 @p289 @p550 @p544 @p520) :args (@t340 (@list false false false false) (@list @t192 @t289 @t335 @t342))) % 65.07/65.37 (step @p554 :rule bool-double-not-elim :args (@t287)) % 65.07/65.37 (step @p555 :rule nary_cong :premises (@p471 @p554) :args ((or @t293 (not @t288)))) % 65.07/65.37 (step @p556 :rule cnf_or_neg :args (@t293 2)) % 65.07/65.37 (step @p557 :rule eq_resolve :premises (@p556 @p555)) % 65.07/65.37 (step @p558 :rule reordering :premises (@p557) :args ((or @t287 @t293))) % 65.07/65.37 (step @p559 :rule chain_m_resolution :premises (@p558 @p469) :args (@t287 @t214 @t295)) % 65.07/65.37 (step @p560 :rule cnf_or_neg :args (@t207 6)) % 65.07/65.37 (step @p561 :rule chain_m_resolution :premises (@p560 @p276) :args (@t343 @t214 @t215)) % 65.07/65.37 (step @p562 :rule refl :args (@t344)) % 65.07/65.37 (step @p563 :rule refl :args (@t288)) % 65.07/65.37 (step @p564 :rule bool-double-not-elim :args (@t188)) % 65.07/65.37 (step @p565 :rule nary_cong :premises (@p564 @p563 @p562) :args ((or (not @t343) @t288 @t344))) % 65.07/65.37 (assume-push @p611 @t343) % 65.07/65.37 (assume-push @p612 @t287) % 65.07/65.37 (assume-push @p613 @t343) % 65.07/65.37 (assume-push @p614 @t287) % 65.07/65.37 (step @p570 :rule false_intro :premises (@p561)) % 65.07/65.37 (step @p418 :rule refl :args (@t186)) % 65.07/65.37 (step @p571 :rule symm :premises (@p612)) % 65.07/65.37 (step @p572 :rule cong :premises (@p571 @p418) :args (@t339)) % 65.07/65.37 (step @p573 :rule trans :premises (@p572 @p570)) % 65.07/65.37 (step @p574 :rule false_elim :premises (@p573)) % 65.07/65.37 (step-pop @p615 :rule scope :premises (@p574)) % 65.07/65.37 (step-pop @p616 :rule scope :premises (@p615)) % 65.07/65.37 (step @p575 :rule process_scope :premises (@p616) :args (@t344)) % 65.07/65.37 (step @p578 :rule and_intro :premises (@p561 @p612)) % 65.07/65.37 (step @p579 :rule modus_ponens :premises (@p578 @p575)) % 65.07/65.37 (step-pop @p617 :rule scope :premises (@p579)) % 65.07/65.37 (step-pop @p618 :rule scope :premises (@p617)) % 65.07/65.37 (step @p580 :rule process_scope :premises (@p618) :args (@t344)) % 65.07/65.37 (step @p583 :rule implies_elim :premises (@p580)) % 65.07/65.37 (step @p584 :rule cnf_and_neg :args (@t345)) % 65.07/65.37 (step @p585 :rule resolution :premises (@p584 @p583) :args (true @t345)) % 65.07/65.37 (step @p586 :rule eq_resolve :premises (@p585 @p565)) % 65.07/65.37 (step @p587 :rule chain_m_resolution :premises (@p586 @p561 @p559) :args (@t344 @t282 (@list @t188 @t287))) % 65.07/65.37 (step @p588 :rule cnf_equiv_pos2 :args (@t340)) % 65.07/65.37 (step @p589 :rule reordering :premises (@p588) :args ((or @t339 @t346 (not @t340)))) % 65.07/65.37 (step @p590 :rule chain_m_resolution :premises (@p589 @p587 @p553) :args (@t346 @t282 (@list @t339 @t340))) % 65.07/65.37 (step @p591 :rule cnf_or_neg :args (@t338 0)) % 65.07/65.37 (step @p592 :rule chain_m_resolution :premises (@p591 @p590) :args ((not @t337) @t214 (@list @t338))) % 65.07/65.37 (step @p593 :rule cnf_equiv_pos2 :args (@t347)) % 65.07/65.37 (step @p594 :rule reordering :premises (@p593) :args ((or @t337 (not @t323) @t348))) % 65.07/65.37 (step @p595 :rule chain_m_resolution :premises (@p594 @p592 @p519) :args (@t348 @t282 (@list @t337 @t323))) % 65.07/65.37 (step @p596 :rule cnf_or_pos :args (@t349)) % 65.07/65.37 (step @p597 :rule reordering :premises (@p596) :args ((or @t206 @t193 @t292 @t347 (not @t349)))) % 65.07/65.37 (step @p598 false :rule chain_m_resolution :premises (@p597 @p595 @p516 @p476 @p289 @p283) :args (false (@list true false false false false) (@list @t347 @t349 @t291 @t192 @t205))) % 65.07/65.37 ) % 65.07/65.37 % SZS output end Proof % 65.07/65.37 % cvc5 exiting %------------------------------------------------------------------------------