TSTP Solution File: COM010-2 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COM010-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n012.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 : 600s
% DateTime : Fri Jul 15 01:31:44 EDT 2022
% Result : Unsatisfiable 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COM010-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Thu Jun 16 16:49:09 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.36 19991: Facts:
% 0.15/0.36 19991: Id : 2, {_}:
% 0.15/0.36 c_UNITY_OInit v_F t_a =>= c_UNITY_OInit v_G t_a
% 0.15/0.36 [] by cls_conjecture_0
% 0.15/0.36 19991: Id : 3, {_}:
% 0.15/0.36 c_UNITY_OActs v_F t_a =>= c_UNITY_OActs v_G t_a
% 0.15/0.36 [] by cls_conjecture_1
% 0.15/0.36 19991: Id : 4, {_}:
% 0.15/0.36 c_UNITY_OAllowedActs v_F t_a =>= c_UNITY_OAllowedActs v_G t_a
% 0.15/0.36 [] by cls_conjecture_2
% 0.15/0.36 19991: Id : 5, {_}:
% 0.15/0.36 c_UNITY_Omk__program
% 0.15/0.36 (c_Pair (c_UNITY_OInit ?5 ?6)
% 0.15/0.36 (c_Pair (c_UNITY_OActs ?5 ?6) (c_UNITY_OAllowedActs ?5 ?6)
% 0.15/0.36 (tc_set (tc_set (tc_prod ?6 ?6)))
% 0.15/0.36 (tc_set (tc_set (tc_prod ?6 ?6)))) (tc_set ?6)
% 0.15/0.36 (tc_prod (tc_set (tc_set (tc_prod ?6 ?6)))
% 0.15/0.36 (tc_set (tc_set (tc_prod ?6 ?6))))) ?6
% 0.15/0.36 =>=
% 0.15/0.36 ?5
% 0.15/0.36 [6, 5] by cls_UNITY_Osurjective__mk__program_0 ?5 ?6
% 0.15/0.36 19991: Goal:
% 0.15/0.36 19991: Id : 1, {_}: v_F =>= v_G [] by cls_conjecture_3
% 0.15/0.36 Statistics :
% 0.15/0.36 Max weight : 52
% 0.15/0.36 Found proof, 0.001732s
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.15/0.36 Statistics :
% 0.15/0.36 Max weight : 52
% 0.15/0.36 Found proof, 0.001058s
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.15/0.36 Statistics :
% 0.15/0.36 Max weight : 52
% 0.15/0.36 Found proof, 0.001815s
% 0.15/0.36 Statistics :
% 0.15/0.36 Max weight : 52
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.15/0.36 Found proof, 0.001420s
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.15/0.36 Id : 5, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit ?5 ?6) (c_Pair (c_UNITY_OActs ?5 ?6) (c_UNITY_OAllowedActs ?5 ?6) (tc_set (tc_set (tc_prod ?6 ?6))) (tc_set (tc_set (tc_prod ?6 ?6)))) (tc_set ?6) (tc_prod (tc_set (tc_set (tc_prod ?6 ?6))) (tc_set (tc_set (tc_prod ?6 ?6))))) ?6 =>= ?5 [6, 5] by cls_UNITY_Osurjective__mk__program_0 ?5 ?6
% 0.15/0.36 Id : 5, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit ?5 ?6) (c_Pair (c_UNITY_OActs ?5 ?6) (c_UNITY_OAllowedActs ?5 ?6) (tc_set (tc_set (tc_prod ?6 ?6))) (tc_set (tc_set (tc_prod ?6 ?6)))) (tc_set ?6) (tc_prod (tc_set (tc_set (tc_prod ?6 ?6))) (tc_set (tc_set (tc_prod ?6 ?6))))) ?6 =>= ?5 [6, 5] by cls_UNITY_Osurjective__mk__program_0 ?5 ?6
% 0.15/0.36 Id : 3, {_}: c_UNITY_OActs v_F t_a =>= c_UNITY_OActs v_G t_a [] by cls_conjecture_1
% 0.15/0.36 Id : 3, {_}: c_UNITY_OActs v_F t_a =>= c_UNITY_OActs v_G t_a [] by cls_conjecture_1
% 0.15/0.36 Id : 2, {_}: c_UNITY_OInit v_F t_a =>= c_UNITY_OInit v_G t_a [] by cls_conjecture_0
% 0.15/0.36 Id : 4, {_}: c_UNITY_OAllowedActs v_F t_a =>= c_UNITY_OAllowedActs v_G t_a [] by cls_conjecture_2
% 0.15/0.36 Id : 5, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit ?5 ?6) (c_Pair (c_UNITY_OActs ?5 ?6) (c_UNITY_OAllowedActs ?5 ?6) (tc_set (tc_set (tc_prod ?6 ?6))) (tc_set (tc_set (tc_prod ?6 ?6)))) (tc_set ?6) (tc_prod (tc_set (tc_set (tc_prod ?6 ?6))) (tc_set (tc_set (tc_prod ?6 ?6))))) ?6 =>= ?5 [6, 5] by cls_UNITY_Osurjective__mk__program_0 ?5 ?6
% 0.15/0.36 Id : 5, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit ?5 ?6) (c_Pair (c_UNITY_OActs ?5 ?6) (c_UNITY_OAllowedActs ?5 ?6) (tc_set (tc_set (tc_prod ?6 ?6))) (tc_set (tc_set (tc_prod ?6 ?6)))) (tc_set ?6) (tc_prod (tc_set (tc_set (tc_prod ?6 ?6))) (tc_set (tc_set (tc_prod ?6 ?6))))) ?6 =>= ?5 [6, 5] by cls_UNITY_Osurjective__mk__program_0 ?5 ?6
% 0.15/0.36 Id : 2, {_}: c_UNITY_OInit v_F t_a =>= c_UNITY_OInit v_G t_a [] by cls_conjecture_0
% 0.15/0.36 Id : 3, {_}: c_UNITY_OActs v_F t_a =>= c_UNITY_OActs v_G t_a [] by cls_conjecture_1
% 0.15/0.36 Id : 3, {_}: c_UNITY_OActs v_F t_a =>= c_UNITY_OActs v_G t_a [] by cls_conjecture_1
% 0.15/0.36 Id : 4, {_}: c_UNITY_OAllowedActs v_F t_a =>= c_UNITY_OAllowedActs v_G t_a [] by cls_conjecture_2
% 0.15/0.36 Id : 2, {_}: c_UNITY_OInit v_F t_a =>= c_UNITY_OInit v_G t_a [] by cls_conjecture_0
% 0.15/0.36 Id : 2, {_}: c_UNITY_OInit v_F t_a =>= c_UNITY_OInit v_G t_a [] by cls_conjecture_0
% 0.15/0.36 Id : 4, {_}: c_UNITY_OAllowedActs v_F t_a =>= c_UNITY_OAllowedActs v_G t_a [] by cls_conjecture_2
% 0.15/0.36 Id : 4, {_}: c_UNITY_OAllowedActs v_F t_a =>= c_UNITY_OAllowedActs v_G t_a [] by cls_conjecture_2
% 0.15/0.36 Id : 12, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit ?14 ?15) (c_Pair (c_UNITY_OActs ?14 ?15) (c_UNITY_OAllowedActs ?14 ?15) (tc_set (tc_set (tc_prod ?15 ?15))) (tc_set (tc_set (tc_prod ?15 ?15)))) (tc_set ?15) (tc_prod (tc_set (tc_set (tc_prod ?15 ?15))) (tc_set (tc_set (tc_prod ?15 ?15))))) ?15 =>= ?14 [15, 14] by cls_UNITY_Osurjective__mk__program_0 ?14 ?15
% 0.15/0.36 Id : 12, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit ?14 ?15) (c_Pair (c_UNITY_OActs ?14 ?15) (c_UNITY_OAllowedActs ?14 ?15) (tc_set (tc_set (tc_prod ?15 ?15))) (tc_set (tc_set (tc_prod ?15 ?15)))) (tc_set ?15) (tc_prod (tc_set (tc_set (tc_prod ?15 ?15))) (tc_set (tc_set (tc_prod ?15 ?15))))) ?15 =>= ?14 [15, 14] by cls_UNITY_Osurjective__mk__program_0 ?14 ?15
% 0.15/0.36 Id : 13, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_F t_a) (c_Pair (c_UNITY_OActs v_F t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Super 12 with 4 at 2,2,1,2
% 0.15/0.36 Id : 12, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit ?14 ?15) (c_Pair (c_UNITY_OActs ?14 ?15) (c_UNITY_OAllowedActs ?14 ?15) (tc_set (tc_set (tc_prod ?15 ?15))) (tc_set (tc_set (tc_prod ?15 ?15)))) (tc_set ?15) (tc_prod (tc_set (tc_set (tc_prod ?15 ?15))) (tc_set (tc_set (tc_prod ?15 ?15))))) ?15 =>= ?14 [15, 14] by cls_UNITY_Osurjective__mk__program_0 ?14 ?15
% 0.15/0.36 Id : 12, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit ?14 ?15) (c_Pair (c_UNITY_OActs ?14 ?15) (c_UNITY_OAllowedActs ?14 ?15) (tc_set (tc_set (tc_prod ?15 ?15))) (tc_set (tc_set (tc_prod ?15 ?15)))) (tc_set ?15) (tc_prod (tc_set (tc_set (tc_prod ?15 ?15))) (tc_set (tc_set (tc_prod ?15 ?15))))) ?15 =>= ?14 [15, 14] by cls_UNITY_Osurjective__mk__program_0 ?14 ?15
% 0.15/0.36 Id : 13, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_F t_a) (c_Pair (c_UNITY_OActs v_F t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Super 12 with 4 at 2,2,1,2
% 0.15/0.36 Id : 13, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_F t_a) (c_Pair (c_UNITY_OActs v_F t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Super 12 with 4 at 2,2,1,2
% 0.15/0.36 Id : 13, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_F t_a) (c_Pair (c_UNITY_OActs v_F t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Super 12 with 4 at 2,2,1,2
% 0.15/0.36 Id : 17, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_G t_a) (c_Pair (c_UNITY_OActs v_F t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Demod 13 with 2 at 1,1,2
% 0.15/0.36 Id : 17, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_G t_a) (c_Pair (c_UNITY_OActs v_F t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Demod 13 with 2 at 1,1,2
% 0.15/0.36 Id : 17, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_G t_a) (c_Pair (c_UNITY_OActs v_F t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Demod 13 with 2 at 1,1,2
% 0.15/0.36 Id : 17, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_G t_a) (c_Pair (c_UNITY_OActs v_F t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Demod 13 with 2 at 1,1,2
% 0.15/0.36 Id : 18, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_G t_a) (c_Pair (c_UNITY_OActs v_G t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Demod 17 with 3 at 1,2,1,2
% 0.15/0.36 Id : 19, {_}: v_G =<= v_F [] by Demod 18 with 5 at 2
% 0.15/0.36 Id : 31, {_}: v_G === v_G [] by Demod 1 with 19 at 2
% 0.15/0.36 Id : 18, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_G t_a) (c_Pair (c_UNITY_OActs v_G t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Demod 17 with 3 at 1,2,1,2
% 0.15/0.36 Id : 1, {_}: v_F =>= v_G [] by cls_conjecture_3
% 0.15/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.36 Id : 19, {_}: v_G =<= v_F [] by Demod 18 with 5 at 2
% 0.15/0.36 19993: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.003403 using lpo
% 0.15/0.36 Id : 31, {_}: v_G === v_G [] by Demod 1 with 19 at 2
% 0.15/0.36 Id : 1, {_}: v_F =>= v_G [] by cls_conjecture_3
% 0.15/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.36 19991: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.003583 using nrkbo
% 0.15/0.36 Id : 18, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_G t_a) (c_Pair (c_UNITY_OActs v_G t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Demod 17 with 3 at 1,2,1,2
% 0.15/0.36 Id : 19, {_}: v_G =<= v_F [] by Demod 18 with 5 at 2
% 0.15/0.36 Id : 18, {_}: c_UNITY_Omk__program (c_Pair (c_UNITY_OInit v_G t_a) (c_Pair (c_UNITY_OActs v_G t_a) (c_UNITY_OAllowedActs v_G t_a) (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a)))) (tc_set t_a) (tc_prod (tc_set (tc_set (tc_prod t_a t_a))) (tc_set (tc_set (tc_prod t_a t_a))))) t_a =>= v_F [] by Demod 17 with 3 at 1,2,1,2
% 0.15/0.36 Id : 31, {_}: v_G =?= v_G [] by Demod 1 with 19 at 2
% 0.15/0.36 Id : 19, {_}: v_G =<= v_F [] by Demod 18 with 5 at 2
% 0.15/0.36 Id : 1, {_}: v_F =>= v_G [] by cls_conjecture_3
% 0.15/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.36 Id : 31, {_}: v_G === v_G [] by Demod 1 with 19 at 2
% 0.15/0.36 Id : 1, {_}: v_F =>= v_G [] by cls_conjecture_3
% 0.15/0.36 19992: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.003599 using kbo
% 0.15/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.36 19994: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.00345 using nrkbo
%------------------------------------------------------------------------------