%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC394+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 : n003.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 65.01s 65.29s % Output : Proof 65.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC394+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:45:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 65.01/65.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 65.01/65.29 --- Run --no-e-matching --full-saturate-quant at 6... % 65.01/65.29 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 65.01/65.29 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 65.01/65.29 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 65.01/65.29 --- Run --trigger-sel=max --full-saturate-quant at 15... % 65.01/65.29 % SZS status Theorem % 65.01/65.29 % SZS output start Proof % 65.01/65.29 ( % 65.01/65.29 (declare-sort $$unsorted 0) % 65.01/65.29 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 65.01/65.29 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 65.01/65.29 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 65.01/65.29 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 65.01/65.29 (declare-const tptp.nil $$unsorted) % 65.01/65.29 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.ssList (-> $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 65.01/65.29 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 65.01/65.29 (define @t1 () (@var "V" $$unsorted)) % 65.01/65.29 (define @t2 () (@var "U" $$unsorted)) % 65.01/65.29 (define @t3 () (= @t2 @t1)) % 65.01/65.29 (define @t4 () (not @t3)) % 65.01/65.29 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 65.01/65.29 (define @t6 () (tptp.ssItem @t1)) % 65.01/65.29 (define @t7 () (@list @t1)) % 65.01/65.29 (define @t8 () (tptp.ssItem @t2)) % 65.01/65.29 (define @t9 () (@list @t2)) % 65.01/65.29 (define @t10 () (@var "X" $$unsorted)) % 65.01/65.29 (define @t11 () (tptp.cons @t1 @t10)) % 65.01/65.29 (define @t12 () (@var "W" $$unsorted)) % 65.01/65.29 (define @t13 () (tptp.ssList @t10)) % 65.01/65.29 (define @t14 () (@list @t10)) % 65.01/65.29 (define @t15 () (tptp.ssList @t12)) % 65.01/65.29 (define @t16 () (@list @t12)) % 65.01/65.29 (define @t17 () (tptp.ssList @t2)) % 65.01/65.29 (define @t18 () (tptp.cons @t1 tptp.nil)) % 65.01/65.29 (define @t19 () (tptp.app @t1 @t12)) % 65.01/65.29 (define @t20 () (tptp.frontsegP @t2 @t1)) % 65.01/65.29 (define @t21 () (tptp.ssList @t1)) % 65.01/65.29 (define @t22 () (tptp.app @t12 @t1)) % 65.01/65.29 (define @t23 () (tptp.rearsegP @t2 @t1)) % 65.01/65.29 (define @t24 () (tptp.app @t22 @t10)) % 65.01/65.29 (define @t25 () (and @t13 (= @t24 @t2))) % 65.01/65.29 (define @t26 () (exists @t14 @t25)) % 65.01/65.29 (define @t27 () (and @t15 @t26)) % 65.01/65.29 (define @t28 () (exists @t16 @t27)) % 65.01/65.29 (define @t29 () (tptp.segmentP @t2 @t1)) % 65.01/65.29 (define @t30 () (= @t29 @t28)) % 65.01/65.29 (define @t31 () (=> @t21 @t30)) % 65.01/65.29 (define @t32 () (forall @t7 @t31)) % 65.01/65.29 (define @t33 () (=> @t17 @t32)) % 65.01/65.29 (define @t34 () (forall @t9 @t33)) % 65.01/65.29 (define @t35 () (tptp.leq @t12 @t1)) % 65.01/65.29 (define @t36 () (tptp.leq @t1 @t12)) % 65.01/65.29 (define @t37 () (@var "Z" $$unsorted)) % 65.01/65.29 (define @t38 () (@var "Y" $$unsorted)) % 65.01/65.29 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 65.01/65.29 (define @t40 () (tptp.ssList @t37)) % 65.01/65.29 (define @t41 () (@list @t37)) % 65.01/65.29 (define @t42 () (tptp.ssList @t38)) % 65.01/65.29 (define @t43 () (@list @t38)) % 65.01/65.29 (define @t44 () (tptp.ssItem @t12)) % 65.01/65.29 (define @t45 () (tptp.lt @t1 @t12)) % 65.01/65.29 (define @t46 () (= @t1 @t12)) % 65.01/65.29 (define @t47 () (tptp.cons @t1 @t2)) % 65.01/65.29 (define @t48 () (= @t1 @t2)) % 65.01/65.29 (define @t49 () (tptp.cons @t12 @t1)) % 65.01/65.29 (define @t50 () (= tptp.nil @t2)) % 65.01/65.29 (define @t51 () (tptp.hd @t2)) % 65.01/65.29 (define @t52 () (not @t50)) % 65.01/65.29 (define @t53 () (tptp.tl @t2)) % 65.01/65.29 (define @t54 () (tptp.app @t2 @t1)) % 65.01/65.29 (define @t55 () (tptp.ssList @t54)) % 65.01/65.29 (define @t56 () (forall @t7 (=> @t21 @t55))) % 65.01/65.29 (define @t57 () (=> @t17 @t56)) % 65.01/65.29 (define @t58 () (forall @t9 @t57)) % 65.01/65.29 (define @t59 () (tptp.app @t1 @t2)) % 65.01/65.29 (define @t60 () (tptp.leq @t1 @t2)) % 65.01/65.29 (define @t61 () (tptp.leq @t2 @t1)) % 65.01/65.29 (define @t62 () (tptp.geq @t2 @t1)) % 65.01/65.29 (define @t63 () (tptp.lt @t1 @t2)) % 65.01/65.29 (define @t64 () (tptp.lt @t2 @t1)) % 65.01/65.29 (define @t65 () (tptp.lt @t2 @t12)) % 65.01/65.29 (define @t66 () (tptp.gt @t2 @t1)) % 65.01/65.29 (define @t67 () (tptp.memberP @t12 @t2)) % 65.01/65.29 (define @t68 () (tptp.memberP @t1 @t2)) % 65.01/65.29 (define @t69 () (= (tptp.memberP @t19 @t2) (or @t68 @t67))) % 65.01/65.29 (define @t70 () (forall @t16 (=> @t15 @t69))) % 65.01/65.29 (define @t71 () (=> @t21 @t70)) % 65.01/65.29 (define @t72 () (forall @t7 @t71)) % 65.01/65.29 (define @t73 () (=> @t8 @t72)) % 65.01/65.29 (define @t74 () (forall @t9 @t73)) % 65.01/65.29 (define @t75 () (tptp.app @t12 @t2)) % 65.01/65.29 (define @t76 () (tptp.segmentP @t1 @t12)) % 65.01/65.29 (define @t77 () (tptp.segmentP @t1 @t2)) % 65.01/65.29 (define @t78 () (tptp.segmentP tptp.nil @t2)) % 65.01/65.29 (define @t79 () (=> @t17 (= @t78 @t50))) % 65.01/65.29 (define @t80 () (forall @t9 @t79)) % 65.01/65.29 (define @t81 () (tptp.cons @t2 tptp.nil)) % 65.01/65.29 (define @t82 () (tptp.hd @t1)) % 65.01/65.29 (define @t83 () (= tptp.nil @t1)) % 65.01/65.29 (define @t84 () (not @t83)) % 65.01/65.29 (define @t85 () (tptp.cons @t2 @t1)) % 65.01/65.29 (define @t86 () (= @t12 @t2)) % 65.01/65.29 (define @t87 () (not (tptp.neq @t12 tptp.nil))) % 65.01/65.29 (define @t88 () (or @t87 (not (tptp.segmentP @t10 @t12)))) % 65.01/65.29 (define @t89 () (not (= tptp.nil @t12))) % 65.01/65.29 (define @t90 () (not (= tptp.nil @t10))) % 65.01/65.29 (define @t91 () (or @t90 @t89)) % 65.01/65.29 (define @t92 () (and @t91 @t88)) % 65.01/65.29 (define @t93 () (tptp.memberP @t1 @t38)) % 65.01/65.29 (define @t94 () (not (tptp.memberP @t2 @t38))) % 65.01/65.29 (define @t95 () (or @t94 @t93)) % 65.01/65.29 (define @t96 () (tptp.ssItem @t38)) % 65.01/65.29 (define @t97 () (forall @t43 (=> @t96 @t95))) % 65.01/65.29 (define @t98 () (not (= @t2 @t12))) % 65.01/65.29 (define @t99 () (not (= @t1 @t10))) % 65.01/65.29 (define @t100 () (or @t99 @t98 @t97 @t92)) % 65.01/65.29 (define @t101 () (=> @t13 @t100)) % 65.01/65.29 (define @t102 () (forall @t14 @t101)) % 65.01/65.29 (define @t103 () (=> @t15 @t102)) % 65.01/65.29 (define @t104 () (forall @t16 @t103)) % 65.01/65.29 (define @t105 () (=> @t21 @t104)) % 65.01/65.29 (define @t106 () (forall @t7 @t105)) % 65.01/65.29 (define @t107 () (=> @t17 @t106)) % 65.01/65.29 (define @t108 () (forall @t9 @t107)) % 65.01/65.29 (define @t109 () (not @t108)) % 65.01/65.29 (define @t110 () (@var "BOUND_VARIABLE_10998" $$unsorted)) % 65.01/65.29 (define @t111 () (@var "BOUND_VARIABLE_10996" $$unsorted)) % 65.01/65.29 (define @t112 () (tptp.memberP @t111 @t110)) % 65.01/65.29 (define @t113 () (not (tptp.memberP @t2 @t110))) % 65.01/65.29 (define @t114 () (not (tptp.ssItem @t110))) % 65.01/65.29 (define @t115 () (not (tptp.neq @t2 tptp.nil))) % 65.01/65.29 (define @t116 () (or @t115 (not (tptp.segmentP @t111 @t2)))) % 65.01/65.29 (define @t117 () (= @t2 tptp.nil)) % 65.01/65.29 (define @t118 () (not @t117)) % 65.01/65.29 (define @t119 () (not (= @t111 tptp.nil))) % 65.01/65.29 (define @t120 () (or @t119 @t118)) % 65.01/65.29 (define @t121 () (and @t120 @t116)) % 65.01/65.29 (define @t122 () (not (tptp.ssList @t111))) % 65.01/65.29 (define @t123 () (not @t17)) % 65.01/65.29 (define @t124 () (or @t123 @t122 @t121 @t114 @t113 @t112)) % 65.01/65.29 (define @t125 () (or @t122 @t121 @t114 @t113 @t112)) % 65.01/65.29 (define @t126 () (or @t123 @t125)) % 65.01/65.29 (define @t127 () (@list @t2 @t111 @t110)) % 65.01/65.29 (define @t128 () (forall @t127 @t126)) % 65.01/65.29 (define @t129 () (@list @t111 @t110)) % 65.01/65.29 (define @t130 () (forall @t129 @t126)) % 65.01/65.29 (define @t131 () (forall @t129 @t125)) % 65.01/65.29 (define @t132 () (@var "BOUND_VARIABLE_10979" $$unsorted)) % 65.01/65.29 (define @t133 () (or @t123 @t131)) % 65.01/65.29 (define @t134 () (tptp.memberP @t1 @t132)) % 65.01/65.29 (define @t135 () (not (tptp.memberP @t2 @t132))) % 65.01/65.29 (define @t136 () (not (tptp.ssItem @t132))) % 65.01/65.29 (define @t137 () (not (= @t1 tptp.nil))) % 65.01/65.29 (define @t138 () (and (or @t137 @t118) (or @t115 (not @t77)))) % 65.01/65.29 (define @t139 () (not @t21)) % 65.01/65.29 (define @t140 () (or @t139 @t138 @t136 @t135 @t134)) % 65.01/65.29 (define @t141 () (@list @t1 @t132)) % 65.01/65.29 (define @t142 () (or @t123 (forall @t141 @t140))) % 65.01/65.29 (define @t143 () (or @t136 @t135 @t134)) % 65.01/65.29 (define @t144 () (or @t139 @t143 @t138)) % 65.01/65.29 (define @t145 () (forall @t141 @t144)) % 65.01/65.29 (define @t146 () (@list @t132)) % 65.01/65.29 (define @t147 () (forall @t146 @t144)) % 65.01/65.29 (define @t148 () (forall @t146 @t143)) % 65.01/65.29 (define @t149 () (or @t139 @t148 @t138)) % 65.01/65.29 (define @t150 () (not @t96)) % 65.01/65.29 (define @t151 () (or @t150 @t94 @t93)) % 65.01/65.29 (define @t152 () (forall @t43 @t151)) % 65.01/65.29 (define @t153 () (or @t139 @t152 @t138)) % 65.01/65.29 (define @t154 () (forall @t7 @t153)) % 65.01/65.29 (define @t155 () (or @t123 @t154)) % 65.01/65.29 (define @t156 () (or @t123 @t153)) % 65.01/65.29 (define @t157 () (or @t139 @t152 @t123 @t138)) % 65.01/65.29 (define @t158 () (or @t152 @t139 @t123 @t138)) % 65.01/65.29 (define @t159 () (or @t123 @t138)) % 65.01/65.29 (define @t160 () (not (= @t2 @t2))) % 65.01/65.29 (define @t161 () (or @t123 @t160 @t138)) % 65.01/65.29 (define @t162 () (not (= @t12 tptp.nil))) % 65.01/65.29 (define @t163 () (and (or @t137 @t162) (or @t87 (not @t76)))) % 65.01/65.29 (define @t164 () (not @t15)) % 65.01/65.29 (define @t165 () (or @t98 @t164 @t98 @t163)) % 65.01/65.29 (define @t166 () (or @t164 @t98 @t163)) % 65.01/65.29 (define @t167 () (forall @t16 @t166)) % 65.01/65.29 (define @t168 () (or @t152 @t139 @t167)) % 65.01/65.29 (define @t169 () (or @t152 @t139 @t166)) % 65.01/65.29 (define @t170 () (or @t164 @t98 @t152 @t139 @t163)) % 65.01/65.29 (define @t171 () (or @t98 @t152 @t139 @t163)) % 65.01/65.29 (define @t172 () (or @t139 @t163)) % 65.01/65.29 (define @t173 () (not (= @t1 @t1))) % 65.01/65.29 (define @t174 () (or @t139 @t173 @t163)) % 65.01/65.29 (define @t175 () (and (or (not (= @t10 tptp.nil)) @t162) @t88)) % 65.01/65.29 (define @t176 () (not @t13)) % 65.01/65.29 (define @t177 () (or @t99 @t176 @t99 @t175)) % 65.01/65.29 (define @t178 () (or @t176 @t99 @t175)) % 65.01/65.29 (define @t179 () (forall @t14 @t178)) % 65.01/65.29 (define @t180 () (or @t98 @t152 @t179)) % 65.01/65.29 (define @t181 () (or @t98 @t152 @t178)) % 65.01/65.29 (define @t182 () (or @t176 @t99 @t98 @t152 @t175)) % 65.01/65.29 (define @t183 () (or @t99 @t98 @t152 @t175)) % 65.01/65.29 (define @t184 () (forall @t127 (or @t123 @t122 (and (or (not (= tptp.nil @t111)) @t118) @t116) @t114 @t113 @t112))) % 65.01/65.29 (define @t185 () (@quantifiers_skolemize @t184 2)) % 65.01/65.29 (define @t186 () (@quantifiers_skolemize @t184 1)) % 65.01/65.29 (define @t187 () (tptp.memberP @t186 @t185)) % 65.01/65.29 (define @t188 () (@quantifiers_skolemize @t184 0)) % 65.01/65.29 (define @t189 () (tptp.memberP @t188 @t185)) % 65.01/65.29 (define @t190 () (not @t189)) % 65.01/65.29 (define @t191 () (tptp.ssItem @t185)) % 65.01/65.29 (define @t192 () (not @t191)) % 65.01/65.29 (define @t193 () (tptp.segmentP @t186 @t188)) % 65.01/65.29 (define @t194 () (not @t193)) % 65.01/65.29 (define @t195 () (or (not (tptp.neq @t188 tptp.nil)) @t194)) % 65.01/65.29 (define @t196 () (= tptp.nil @t188)) % 65.01/65.29 (define @t197 () (not @t196)) % 65.01/65.29 (define @t198 () (= tptp.nil @t186)) % 65.01/65.29 (define @t199 () (not @t198)) % 65.01/65.29 (define @t200 () (or @t199 @t197)) % 65.01/65.29 (define @t201 () (and @t200 @t195)) % 65.01/65.29 (define @t202 () (tptp.ssList @t186)) % 65.01/65.29 (define @t203 () (not @t202)) % 65.01/65.29 (define @t204 () (tptp.ssList @t188)) % 65.01/65.29 (define @t205 () (not @t204)) % 65.01/65.29 (define @t206 () (or @t205 @t203 @t201 @t192 @t190 @t187)) % 65.01/65.29 (define @t207 () (not @t206)) % 65.01/65.29 (define @t208 () (not @t184)) % 65.01/65.29 (define @t209 () (= @t188 tptp.nil)) % 65.01/65.29 (define @t210 () (not @t209)) % 65.01/65.29 (define @t211 () (or @t199 @t210)) % 65.01/65.29 (define @t212 () (and @t211 @t195)) % 65.01/65.29 (define @t213 () (or @t205 @t203 @t212 @t192 @t190 @t187)) % 65.01/65.29 (define @t214 () (not @t213)) % 65.01/65.29 (define @t215 () (@list true)) % 65.01/65.29 (define @t216 () (@list @t206)) % 65.01/65.29 (define @t217 () (@var "BOUND_VARIABLE_8387" $$unsorted)) % 65.01/65.29 (define @t218 () (@var "BOUND_VARIABLE_8410" $$unsorted)) % 65.01/65.29 (define @t219 () (not (tptp.ssList @t217))) % 65.01/65.29 (define @t220 () (@list @t12 @t217)) % 65.01/65.29 (define @t221 () (= (tptp.segmentP @t2 @t218) (not (forall @t220 (or @t164 @t219 (not (= @t2 (tptp.app (tptp.app @t12 @t218) @t217)))))))) % 65.01/65.29 (define @t222 () (not (tptp.ssList @t218))) % 65.01/65.29 (define @t223 () (or @t222 @t221)) % 65.01/65.29 (define @t224 () (or @t123 @t223)) % 65.01/65.29 (define @t225 () (forall (@list @t2 @t218) @t224)) % 65.01/65.29 (define @t226 () (@list @t218)) % 65.01/65.29 (define @t227 () (forall @t226 @t224)) % 65.01/65.29 (define @t228 () (forall @t226 @t223)) % 65.01/65.29 (define @t229 () (@list @t1)) % 65.01/65.29 (define @t230 () (or @t123 @t228)) % 65.01/65.29 (define @t231 () (not (= @t2 (tptp.app @t22 @t217)))) % 65.01/65.29 (define @t232 () (or @t164 @t219 @t231)) % 65.01/65.29 (define @t233 () (= @t29 (not (forall @t220 @t232)))) % 65.01/65.29 (define @t234 () (forall @t7 (or @t139 @t233))) % 65.01/65.29 (define @t235 () (or @t219 @t231)) % 65.01/65.29 (define @t236 () (or @t164 @t235)) % 65.01/65.29 (define @t237 () (forall @t220 @t236)) % 65.01/65.29 (define @t238 () (@list @t217)) % 65.01/65.29 (define @t239 () (forall @t238 @t236)) % 65.01/65.29 (define @t240 () (forall @t238 @t235)) % 65.01/65.29 (define @t241 () (or @t164 @t240)) % 65.01/65.29 (define @t242 () (= @t2 @t24)) % 65.01/65.29 (define @t243 () (forall @t14 (or @t176 (not @t242)))) % 65.01/65.29 (define @t244 () (not @t243)) % 65.01/65.29 (define @t245 () (and @t15 @t244)) % 65.01/65.29 (define @t246 () (forall @t16 (not @t245))) % 65.01/65.29 (define @t247 () (not @t246)) % 65.01/65.29 (define @t248 () (and @t13 @t242)) % 65.01/65.29 (define @t249 () (forall @t14 (not @t248))) % 65.01/65.29 (define @t250 () (not @t249)) % 65.01/65.29 (define @t251 () (forall @t220 (or @t164 @t219 (not (= @t186 (tptp.app (tptp.app @t12 @t188) @t217)))))) % 65.01/65.29 (define @t252 () (not @t251)) % 65.01/65.29 (define @t253 () (= @t193 @t252)) % 65.01/65.29 (define @t254 () (or @t203 @t205 @t253)) % 65.01/65.29 (define @t255 () (@list false false false)) % 65.01/65.29 (define @t256 () (not @t187)) % 65.01/65.29 (define @t257 () (not @t256)) % 65.01/65.29 (define @t258 () (and @t189 @t196 @t198 @t256)) % 65.01/65.29 (define @t259 () (= @t78 @t117)) % 65.01/65.29 (define @t260 () (tptp.segmentP tptp.nil @t188)) % 65.01/65.29 (define @t261 () (or @t205 (= @t260 @t209))) % 65.01/65.29 (define @t262 () (forall @t9 (or @t123 @t259))) % 65.01/65.29 (define @t263 () (= @t196 @t260)) % 65.01/65.29 (define @t264 () (or @t205 @t263)) % 65.01/65.29 (define @t265 () (@list false)) % 65.01/65.29 (define @t266 () (@list false false)) % 65.01/65.29 (define @t267 () (not @t260)) % 65.01/65.29 (define @t268 () (and @t198 @t267)) % 65.01/65.29 (define @t269 () (@list true false)) % 65.01/65.29 (define @t270 () (@quantifiers_skolemize @t251 1)) % 65.01/65.29 (define @t271 () (@quantifiers_skolemize @t251 0)) % 65.01/65.29 (define @t272 () (tptp.app @t271 @t188)) % 65.01/65.29 (define @t273 () (tptp.app @t272 @t270)) % 65.01/65.29 (define @t274 () (= @t186 @t273)) % 65.01/65.29 (define @t275 () (not @t274)) % 65.01/65.29 (define @t276 () (tptp.ssList @t270)) % 65.01/65.29 (define @t277 () (not @t276)) % 65.01/65.29 (define @t278 () (tptp.ssList @t271)) % 65.01/65.29 (define @t279 () (not @t278)) % 65.01/65.29 (define @t280 () (or @t279 @t277 @t275)) % 65.01/65.29 (define @t281 () (not @t280)) % 65.01/65.29 (define @t282 () (@list @t280)) % 65.01/65.29 (define @t283 () (@var "BOUND_VARIABLE_9658" $$unsorted)) % 65.01/65.29 (define @t284 () (@var "BOUND_VARIABLE_9656" $$unsorted)) % 65.01/65.29 (define @t285 () (= (tptp.memberP (tptp.app @t284 @t283) @t2) (or (tptp.memberP @t284 @t2) (tptp.memberP @t283 @t2)))) % 65.01/65.29 (define @t286 () (not (tptp.ssList @t283))) % 65.01/65.29 (define @t287 () (not (tptp.ssList @t284))) % 65.01/65.29 (define @t288 () (not @t8)) % 65.01/65.29 (define @t289 () (or @t287 @t286 @t285)) % 65.01/65.29 (define @t290 () (or @t288 @t289)) % 65.01/65.29 (define @t291 () (forall (@list @t2 @t284 @t283) @t290)) % 65.01/65.29 (define @t292 () (@list @t284 @t283)) % 65.01/65.29 (define @t293 () (forall @t292 @t290)) % 65.01/65.29 (define @t294 () (forall @t292 @t289)) % 65.01/65.29 (define @t295 () (@var "BOUND_VARIABLE_9637" $$unsorted)) % 65.01/65.29 (define @t296 () (or @t288 @t294)) % 65.01/65.29 (define @t297 () (= (tptp.memberP (tptp.app @t1 @t295) @t2) (or @t68 (tptp.memberP @t295 @t2)))) % 65.01/65.29 (define @t298 () (not (tptp.ssList @t295))) % 65.01/65.29 (define @t299 () (or @t139 @t298 @t297)) % 65.01/65.29 (define @t300 () (@list @t1 @t295)) % 65.01/65.29 (define @t301 () (forall @t300 @t299)) % 65.01/65.29 (define @t302 () (or @t298 @t297)) % 65.01/65.29 (define @t303 () (or @t139 @t302)) % 65.01/65.29 (define @t304 () (forall @t300 @t303)) % 65.01/65.29 (define @t305 () (@list @t295)) % 65.01/65.29 (define @t306 () (forall @t305 @t303)) % 65.01/65.29 (define @t307 () (forall @t305 @t302)) % 65.01/65.29 (define @t308 () (or @t139 @t307)) % 65.01/65.29 (define @t309 () (forall @t16 (or @t164 @t69))) % 65.01/65.29 (define @t310 () (or (tptp.memberP @t271 @t185) @t189)) % 65.01/65.29 (define @t311 () (@var "BOUND_VARIABLE_9370" $$unsorted)) % 65.01/65.29 (define @t312 () (tptp.ssList (tptp.app @t2 @t311))) % 65.01/65.29 (define @t313 () (not (tptp.ssList @t311))) % 65.01/65.29 (define @t314 () (or @t313 @t312)) % 65.01/65.29 (define @t315 () (or @t123 @t314)) % 65.01/65.29 (define @t316 () (forall (@list @t2 @t311) @t315)) % 65.01/65.29 (define @t317 () (@list @t311)) % 65.01/65.29 (define @t318 () (forall @t317 @t315)) % 65.01/65.29 (define @t319 () (forall @t317 @t314)) % 65.01/65.29 (define @t320 () (or @t123 @t319)) % 65.01/65.29 (define @t321 () (forall @t7 (or @t139 @t55))) % 65.01/65.29 (define @t322 () (tptp.ssList @t272)) % 65.01/65.29 (define @t323 () (or @t279 @t205 @t322)) % 65.01/65.29 (define @t324 () (tptp.memberP @t272 @t185)) % 65.01/65.29 (define @t325 () (or @t324 (tptp.memberP @t270 @t185))) % 65.01/65.29 (define @t326 () (tptp.memberP @t273 @t185)) % 65.01/65.29 (define @t327 () (= @t326 @t325)) % 65.01/65.29 (define @t328 () (not @t322)) % 65.01/65.29 (define @t329 () (or @t192 @t328 @t277 @t327)) % 65.01/65.29 (define @t330 () (not @t326)) % 65.01/65.29 (define @t331 () (and @t256 @t274)) % 65.01/65.29 (define @t332 () (not @t325)) % 65.01/65.29 (define @t333 () (= @t324 @t310)) % 65.01/65.29 (define @t334 () (not @t333)) % 65.01/65.29 (define @t335 () (or @t192 @t279 @t205 @t333)) % 65.01/65.29 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 65.01/65.29 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 65.01/65.29 (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))))))))))) % 65.01/65.29 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 65.01/65.29 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 65.01/65.29 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 65.01/65.29 (assume @p7 @t34) % 65.01/65.29 (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))))))))))))))))) % 65.01/65.29 (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)))))))))))))))) % 65.01/65.29 (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))))))))))))))))) % 65.01/65.29 (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))))))))))))))) % 65.01/65.29 (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))))))))))))))) % 65.01/65.29 (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)))))))))))))))) % 65.01/65.29 (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))))))))))))) % 65.01/65.29 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 65.01/65.29 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t47)))))) % 65.01/65.29 (assume @p17 (tptp.ssList tptp.nil)) % 65.01/65.29 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 65.01/65.29 (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) @t48))))))))))) % 65.01/65.29 (assume @p20 (forall @t9 (=> @t17 (or @t50 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t49 @t2))))))))) % 65.01/65.29 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 65.01/65.29 (assume @p22 (forall @t9 (=> @t17 (=> @t52 (tptp.ssItem @t51))))) % 65.01/65.29 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 65.01/65.29 (assume @p24 (forall @t9 (=> @t17 (=> @t52 (tptp.ssList @t53))))) % 65.01/65.29 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 65.01/65.29 (assume @p26 @t58) % 65.01/65.29 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t59) (tptp.app @t49 @t2))))))))) % 65.01/65.29 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 65.01/65.29 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t61 @t60) @t3)))))) % 65.01/65.29 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t61 @t36) (tptp.leq @t2 @t12))))))))) % 65.01/65.29 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 65.01/65.29 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t60)))))) % 65.01/65.29 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (not @t63))))))) % 65.01/65.29 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t64 @t45) @t65)))))))) % 65.01/65.29 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t63)))))) % 65.01/65.29 (assume @p36 @t74) % 65.01/65.29 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t67))))))))) % 65.01/65.29 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 65.01/65.29 (assume @p39 (not (tptp.singletonP tptp.nil))) % 65.01/65.29 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 65.01/65.29 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 65.01/65.29 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 65.01/65.29 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 65.01/65.29 (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)))))))))))) % 65.01/65.29 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 65.01/65.29 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t50)))) % 65.01/65.29 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 65.01/65.29 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 65.01/65.29 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 65.01/65.29 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t75 @t1))))))))) % 65.01/65.29 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 65.01/65.29 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t50)))) % 65.01/65.29 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 @t76) (tptp.segmentP @t2 @t12))))))))) % 65.01/65.29 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t77) @t3)))))) % 65.01/65.29 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 65.01/65.29 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t75 @t10) @t1))))))))))) % 65.01/65.29 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 65.01/65.29 (assume @p58 @t80) % 65.01/65.29 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t81)))) % 65.01/65.29 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 65.01/65.29 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t81)))) % 65.01/65.29 (assume @p62 (tptp.totalorderP tptp.nil)) % 65.01/65.29 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t81)))) % 65.01/65.29 (assume @p64 (tptp.strictorderP tptp.nil)) % 65.01/65.29 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t81)))) % 65.01/65.29 (assume @p66 (tptp.totalorderedP tptp.nil)) % 65.01/65.29 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t85) (or @t83 (and @t84 (tptp.totalorderedP @t1) (tptp.leq @t2 @t82))))))))) % 65.01/65.29 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t81)))) % 65.01/65.29 (assume @p69 (tptp.strictorderedP tptp.nil)) % 65.01/65.29 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t85) (or @t83 (and @t84 (tptp.strictorderedP @t1) (tptp.lt @t2 @t82))))))))) % 65.01/65.29 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t81)))) % 65.01/65.29 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 65.01/65.29 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t81)))) % 65.01/65.29 (assume @p74 (tptp.equalelemsP tptp.nil)) % 65.01/65.29 (assume @p75 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t6 (= @t51 @t1))))))) % 65.01/65.29 (assume @p76 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t21 (= @t53 @t1))))))) % 65.01/65.29 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t84 @t52 (= @t82 @t51) (= (tptp.tl @t1) @t53)) @t48)))))) % 65.01/65.29 (assume @p78 (forall @t9 (=> @t17 (=> @t52 (= (tptp.cons @t51 @t53) @t2))))) % 65.01/65.29 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t54) @t86)))))))) % 65.01/65.29 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t59) @t86)))))))) % 65.01/65.29 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 65.01/65.29 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t54 @t12) (tptp.app @t2 @t19))))))))) % 65.01/65.29 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t54) (and @t83 @t50))))))) % 65.01/65.29 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 65.01/65.29 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t52 (= (tptp.hd @t54) @t51))))))) % 65.01/65.29 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t52 (= (tptp.tl @t54) (tptp.app @t53 @t1)))))))) % 65.01/65.29 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 (tptp.geq @t1 @t2)) @t3)))))) % 65.01/65.29 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 65.01/65.29 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 65.01/65.29 (assume @p90 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@t318) @t316))) % 65.01/65.29 (step @p550 :rule alpha_equiv :args (@t319 (@list @t311) @t229)) % 65.01/65.29 (step @p551 :rule nary_cong :premises (@p115 @p550) :args (@t320)) % 65.01/65.29 (step @p552 :rule quant-miniscope-or :args ((= @t318 @t320))) % 65.01/65.29 (step @p553 :rule trans :premises (@p552 @p551)) % 65.01/65.29 (step @p554 :rule symm :premises (@p553)) % 65.01/65.29 (step @p555 :rule cong :premises (@p554) :args ((forall @t9 (or @t123 @t321)))) % 65.01/65.29 (step @p556 :rule trans :premises (@p555 @p549)) % 65.01/65.29 (step @p557 :rule trans :premises (@p556 @p548)) % 65.01/65.29 (step @p558 :rule bool-impl-elim :args (@t17 @t321)) % 65.01/65.29 (step @p559 :rule cong :premises (@p558) :args ((forall @t9 (=> @t17 @t321)))) % 65.01/65.29 (step @p560 :rule trans :premises (@p559 @p557)) % 65.01/65.29 (step @p561 :rule bool-impl-elim :args (@t21 @t55)) % 65.01/65.29 (step @p562 :rule cong :premises (@p561) :args (@t56)) % 65.01/65.29 (step @p563 :rule cong :premises (@p245 @p562) :args (@t57)) % 65.01/65.29 (step @p564 :rule cong :premises (@p563) :args (@t58)) % 65.01/65.29 (step @p565 :rule trans :premises (@p564 @p560)) % 65.01/65.29 (step @p566 :rule eq_resolve :premises (@p26 @p565)) % 65.01/65.29 (step @p567 :rule instantiate :premises (@p566) :args ((@list @t271 @t188))) % 65.01/65.29 (step @p568 :rule cnf_or_pos :args (@t323)) % 65.01/65.29 (step @p569 :rule reordering :premises (@p568) :args ((or @t205 @t279 @t322 (not @t323)))) % 65.01/65.29 (step @p570 :rule chain_m_resolution :premises (@p569 @p283 @p502 @p567) :args (@t322 @t255 (@list @t204 @t278 @t323))) % 65.01/65.29 (step @p571 :rule bool-double-not-elim :args (@t276)) % 65.01/65.29 (step @p572 :rule nary_cong :premises (@p497 @p571) :args ((or @t280 (not @t277)))) % 65.01/65.29 (step @p573 :rule cnf_or_neg :args (@t280 1)) % 65.01/65.29 (step @p574 :rule eq_resolve :premises (@p573 @p572)) % 65.01/65.29 (step @p575 :rule reordering :premises (@p574) :args ((or @t276 @t280))) % 65.01/65.29 (step @p576 :rule chain_m_resolution :premises (@p575 @p495) :args (@t276 @t215 @t282)) % 65.01/65.29 (step @p577 :rule cnf_or_pos :args (@t329)) % 65.01/65.29 (step @p578 :rule reordering :premises (@p577) :args ((or @t192 @t277 @t328 @t327 (not @t329)))) % 65.01/65.29 (step @p579 :rule chain_m_resolution :premises (@p578 @p289 @p576 @p570 @p546) :args (@t327 (@list false false false false) (@list @t191 @t276 @t322 @t329))) % 65.01/65.29 (step @p580 :rule bool-double-not-elim :args (@t274)) % 65.01/65.29 (step @p581 :rule nary_cong :premises (@p497 @p580) :args ((or @t280 (not @t275)))) % 65.01/65.29 (step @p582 :rule cnf_or_neg :args (@t280 2)) % 65.01/65.29 (step @p583 :rule eq_resolve :premises (@p582 @p581)) % 65.01/65.29 (step @p584 :rule reordering :premises (@p583) :args ((or @t274 @t280))) % 65.01/65.29 (step @p585 :rule chain_m_resolution :premises (@p584 @p495) :args (@t274 @t215 @t282)) % 65.01/65.29 (step @p586 :rule refl :args (@t330)) % 65.01/65.29 (step @p587 :rule refl :args (@t275)) % 65.01/65.29 (step @p588 :rule nary_cong :premises (@p365 @p587 @p586) :args ((or @t257 @t275 @t330))) % 65.01/65.29 (assume-push @p651 @t256) % 65.01/65.29 (assume-push @p652 @t274) % 65.01/65.29 (assume-push @p653 @t256) % 65.01/65.29 (assume-push @p654 @t274) % 65.01/65.29 (step @p378 :rule false_intro :premises (@p364)) % 65.01/65.29 (step @p374 :rule refl :args (@t185)) % 65.01/65.29 (step @p593 :rule symm :premises (@p652)) % 65.01/65.29 (step @p594 :rule cong :premises (@p593 @p374) :args (@t326)) % 65.01/65.30 (step @p595 :rule trans :premises (@p594 @p378)) % 65.01/65.30 (step @p596 :rule false_elim :premises (@p595)) % 65.01/65.30 (step-pop @p655 :rule scope :premises (@p596)) % 65.01/65.30 (step-pop @p656 :rule scope :premises (@p655)) % 65.01/65.30 (step @p597 :rule process_scope :premises (@p656) :args (@t330)) % 65.01/65.30 (step @p600 :rule and_intro :premises (@p364 @p652)) % 65.01/65.30 (step @p601 :rule modus_ponens :premises (@p600 @p597)) % 65.01/65.30 (step-pop @p657 :rule scope :premises (@p601)) % 65.01/65.30 (step-pop @p658 :rule scope :premises (@p657)) % 65.01/65.30 (step @p602 :rule process_scope :premises (@p658) :args (@t330)) % 65.01/65.30 (step @p605 :rule implies_elim :premises (@p602)) % 65.01/65.30 (step @p606 :rule cnf_and_neg :args (@t331)) % 65.01/65.30 (step @p607 :rule resolution :premises (@p606 @p605) :args (true @t331)) % 65.01/65.30 (step @p608 :rule eq_resolve :premises (@p607 @p588)) % 65.01/65.30 (step @p609 :rule chain_m_resolution :premises (@p608 @p364 @p585) :args (@t330 @t269 (@list @t187 @t274))) % 65.01/65.30 (step @p610 :rule cnf_equiv_pos2 :args (@t327)) % 65.01/65.30 (step @p611 :rule reordering :premises (@p610) :args ((or @t326 @t332 (not @t327)))) % 65.01/65.30 (step @p612 :rule chain_m_resolution :premises (@p611 @p609 @p579) :args (@t332 @t269 (@list @t326 @t327))) % 65.01/65.30 (step @p613 :rule cnf_or_neg :args (@t325 0)) % 65.01/65.30 (step @p614 :rule chain_m_resolution :premises (@p613 @p612) :args ((not @t324) @t215 (@list @t325))) % 65.01/65.30 (step @p615 :rule cnf_equiv_pos2 :args (@t333)) % 65.01/65.30 (step @p616 :rule reordering :premises (@p615) :args ((or @t324 (not @t310) @t334))) % 65.01/65.30 (step @p617 :rule chain_m_resolution :premises (@p616 @p614 @p545) :args (@t334 @t269 (@list @t324 @t310))) % 65.01/65.30 (step @p618 :rule cnf_or_pos :args (@t335)) % 65.01/65.30 (step @p619 :rule reordering :premises (@p618) :args ((or @t205 @t192 @t279 @t333 (not @t335)))) % 65.01/65.30 (step @p620 false :rule chain_m_resolution :premises (@p619 @p617 @p542 @p502 @p289 @p283) :args (false (@list true false false false false) (@list @t333 @t335 @t278 @t191 @t204))) % 65.01/65.30 ) % 65.01/65.30 % SZS output end Proof % 65.01/65.30 % cvc5 exiting %------------------------------------------------------------------------------