TSTP Solution File: LCL443-10 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : LCL443-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n008.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 : Sun Jul 17 12:44:49 EDT 2022
% Result : Unsatisfiable 64.92s 16.55s
% Output : CNFRefutation 64.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL443-10 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 22:03:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 4153: Facts:
% 0.20/0.35 4153: Id : 2, {_}: ifeq ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.20/0.35 4153: Id : 3, {_}:
% 0.20/0.35 ifeq
% 0.20/0.35 (c_in (c_PropLog_Opl_Oop_A_N_62 ?6 ?7 ?8) (c_PropLog_Othms ?9 ?8)
% 0.20/0.35 (tc_PropLog_Opl ?8)) true
% 0.20/0.35 (ifeq (c_in ?6 (c_PropLog_Othms ?9 ?8) (tc_PropLog_Opl ?8)) true
% 0.20/0.35 (c_in ?7 (c_PropLog_Othms ?9 ?8) (tc_PropLog_Opl ?8)) true) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [9, 8, 7, 6] by cls_PropLog_Othms_OMP_0 ?6 ?7 ?8 ?9
% 0.20/0.35 4153: Id : 4, {_}:
% 0.20/0.35 ifeq
% 0.20/0.35 (c_in ?11
% 0.20/0.35 (c_PropLog_Othms (c_insert ?12 ?13 (tc_PropLog_Opl ?14)) ?14)
% 0.20/0.35 (tc_PropLog_Opl ?14)) true
% 0.20/0.35 (c_in (c_PropLog_Opl_Oop_A_N_62 ?12 ?11 ?14)
% 0.20/0.35 (c_PropLog_Othms ?13 ?14) (tc_PropLog_Opl ?14)) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [14, 13, 12, 11] by cls_PropLog_Odeduction_0 ?11 ?12 ?13 ?14
% 0.20/0.35 4153: Id : 5, {_}:
% 0.20/0.35 ifeq (c_in ?16 ?17 (tc_PropLog_Opl ?18)) true
% 0.20/0.35 (c_in ?16 (c_PropLog_Othms ?17 ?18) (tc_PropLog_Opl ?18)) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [18, 17, 16] by cls_PropLog_Othms_OH_0 ?16 ?17 ?18
% 0.20/0.35 4153: Id : 6, {_}:
% 0.20/0.35 ifeq (c_in ?20 (c_PropLog_Othms ?21 ?22) (tc_PropLog_Opl ?22)) true
% 0.20/0.35 (c_in ?20
% 0.20/0.35 (c_PropLog_Othms (c_insert ?23 ?21 (tc_PropLog_Opl ?22)) ?22)
% 0.20/0.35 (tc_PropLog_Opl ?22)) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [23, 22, 21, 20] by cls_PropLog_Oweaken__left__insert_0 ?20 ?21 ?22
% 0.20/0.35 ?23
% 0.20/0.35 4153: Id : 7, {_}:
% 0.20/0.35 c_in ?25 (c_insert ?25 ?26 ?27) ?27 =>= true
% 0.20/0.35 [27, 26, 25] by cls_Set_OinsertCI_1 ?25 ?26 ?27
% 0.20/0.35 4153: Id : 8, {_}:
% 0.20/0.35 c_in v_p (c_PropLog_Othms v_H t_a) (tc_PropLog_Opl t_a) =>= true
% 0.20/0.35 [] by cls_conjecture_0
% 0.20/0.35 4153: Id : 9, {_}:
% 0.20/0.35 c_in (c_PropLog_Opl_Oop_A_N_62 v_q c_PropLog_Opl_Ofalse t_a)
% 0.20/0.35 (c_PropLog_Othms v_H t_a) (tc_PropLog_Opl t_a)
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [] by cls_conjecture_1
% 0.20/0.35 4153: Goal:
% 0.20/0.35 4153: Id : 1, {_}:
% 0.20/0.35 c_in
% 0.20/0.35 (c_PropLog_Opl_Oop_A_N_62 (c_PropLog_Opl_Oop_A_N_62 v_p v_q t_a)
% 0.20/0.35 c_PropLog_Opl_Ofalse t_a) (c_PropLog_Othms v_H t_a)
% 0.20/0.35 (tc_PropLog_Opl t_a)
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [] by cls_conjecture_2
% 64.92/16.55 Statistics :
% 64.92/16.55 Max weight : 51
% 64.92/16.55 Found proof, 16.208157s
% 64.92/16.55 % SZS status Unsatisfiable for theBenchmark.p
% 64.92/16.55 % SZS output start CNFRefutation for theBenchmark.p
% 64.92/16.55 Id : 8, {_}: c_in v_p (c_PropLog_Othms v_H t_a) (tc_PropLog_Opl t_a) =>= true [] by cls_conjecture_0
% 64.92/16.55 Id : 7, {_}: c_in ?25 (c_insert ?25 ?26 ?27) ?27 =>= true [27, 26, 25] by cls_Set_OinsertCI_1 ?25 ?26 ?27
% 64.92/16.55 Id : 5, {_}: ifeq (c_in ?16 ?17 (tc_PropLog_Opl ?18)) true (c_in ?16 (c_PropLog_Othms ?17 ?18) (tc_PropLog_Opl ?18)) true =>= true [18, 17, 16] by cls_PropLog_Othms_OH_0 ?16 ?17 ?18
% 64.92/16.55 Id : 2, {_}: ifeq ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 64.92/16.55 Id : 9, {_}: c_in (c_PropLog_Opl_Oop_A_N_62 v_q c_PropLog_Opl_Ofalse t_a) (c_PropLog_Othms v_H t_a) (tc_PropLog_Opl t_a) =>= true [] by cls_conjecture_1
% 64.92/16.55 Id : 6, {_}: ifeq (c_in ?20 (c_PropLog_Othms ?21 ?22) (tc_PropLog_Opl ?22)) true (c_in ?20 (c_PropLog_Othms (c_insert ?23 ?21 (tc_PropLog_Opl ?22)) ?22) (tc_PropLog_Opl ?22)) true =>= true [23, 22, 21, 20] by cls_PropLog_Oweaken__left__insert_0 ?20 ?21 ?22 ?23
% 64.92/16.55 Id : 3, {_}: ifeq (c_in (c_PropLog_Opl_Oop_A_N_62 ?6 ?7 ?8) (c_PropLog_Othms ?9 ?8) (tc_PropLog_Opl ?8)) true (ifeq (c_in ?6 (c_PropLog_Othms ?9 ?8) (tc_PropLog_Opl ?8)) true (c_in ?7 (c_PropLog_Othms ?9 ?8) (tc_PropLog_Opl ?8)) true) true =>= true [9, 8, 7, 6] by cls_PropLog_Othms_OMP_0 ?6 ?7 ?8 ?9
% 64.92/16.55 Id : 4, {_}: ifeq (c_in ?11 (c_PropLog_Othms (c_insert ?12 ?13 (tc_PropLog_Opl ?14)) ?14) (tc_PropLog_Opl ?14)) true (c_in (c_PropLog_Opl_Oop_A_N_62 ?12 ?11 ?14) (c_PropLog_Othms ?13 ?14) (tc_PropLog_Opl ?14)) true =>= true [14, 13, 12, 11] by cls_PropLog_Odeduction_0 ?11 ?12 ?13 ?14
% 64.92/16.55 Id : 40, {_}: ifeq true true (c_in (c_PropLog_Opl_Oop_A_N_62 v_q c_PropLog_Opl_Ofalse t_a) (c_PropLog_Othms (c_insert ?87 v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a)) true =>= true [87] by Super 6 with 9 at 1,2
% 64.92/16.55 Id : 43, {_}: c_in (c_PropLog_Opl_Oop_A_N_62 v_q c_PropLog_Opl_Ofalse t_a) (c_PropLog_Othms (c_insert ?87 v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a) =>= true [87] by Demod 40 with 2 at 2
% 64.92/16.55 Id : 263, {_}: ifeq (c_in (c_PropLog_Opl_Oop_A_N_62 (c_PropLog_Opl_Oop_A_N_62 v_q c_PropLog_Opl_Ofalse t_a) ?336 t_a) (c_PropLog_Othms (c_insert ?337 v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a)) true (ifeq true true (c_in ?336 (c_PropLog_Othms (c_insert ?337 v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a)) true) true =>= true [337, 336] by Super 3 with 43 at 1,3,2
% 64.92/16.55 Id : 26507, {_}: ifeq (c_in (c_PropLog_Opl_Oop_A_N_62 (c_PropLog_Opl_Oop_A_N_62 v_q c_PropLog_Opl_Ofalse t_a) ?30905 t_a) (c_PropLog_Othms (c_insert ?30906 v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a)) true (c_in ?30905 (c_PropLog_Othms (c_insert ?30906 v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a)) true =>= true [30906, 30905] by Demod 263 with 2 at 3,2
% 64.92/16.55 Id : 20, {_}: ifeq true true (c_in ?60 (c_PropLog_Othms (c_insert ?60 ?61 (tc_PropLog_Opl ?62)) ?62) (tc_PropLog_Opl ?62)) true =>= true [62, 61, 60] by Super 5 with 7 at 1,2
% 64.92/16.55 Id : 23, {_}: c_in ?60 (c_PropLog_Othms (c_insert ?60 ?61 (tc_PropLog_Opl ?62)) ?62) (tc_PropLog_Opl ?62) =>= true [62, 61, 60] by Demod 20 with 2 at 2
% 64.92/16.55 Id : 53, {_}: ifeq true true (ifeq (c_in ?119 (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 ?119 ?120 ?121) ?122 (tc_PropLog_Opl ?121)) ?121) (tc_PropLog_Opl ?121)) true (c_in ?120 (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 ?119 ?120 ?121) ?122 (tc_PropLog_Opl ?121)) ?121) (tc_PropLog_Opl ?121)) true) true =>= true [122, 121, 120, 119] by Super 3 with 23 at 1,2
% 64.92/16.56 Id : 62, {_}: ifeq (c_in ?119 (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 ?119 ?120 ?121) ?122 (tc_PropLog_Opl ?121)) ?121) (tc_PropLog_Opl ?121)) true (c_in ?120 (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 ?119 ?120 ?121) ?122 (tc_PropLog_Opl ?121)) ?121) (tc_PropLog_Opl ?121)) true =>= true [122, 121, 120, 119] by Demod 53 with 2 at 2
% 64.92/16.56 Id : 1157, {_}: ifeq (c_in ?1273 (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 ?1273 ?1274 ?1275) ?1276 (tc_PropLog_Opl ?1275)) ?1275) (tc_PropLog_Opl ?1275)) true (c_in ?1274 (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 ?1273 ?1274 ?1275) ?1276 (tc_PropLog_Opl ?1275)) ?1275) (tc_PropLog_Opl ?1275)) true =>= true [1276, 1275, 1274, 1273] by Demod 53 with 2 at 2
% 64.92/16.56 Id : 24, {_}: ifeq true true (c_in v_p (c_PropLog_Othms (c_insert ?69 v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a)) true =>= true [69] by Super 6 with 8 at 1,2
% 64.92/16.56 Id : 33, {_}: c_in v_p (c_PropLog_Othms (c_insert ?69 v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a) =>= true [69] by Demod 24 with 2 at 2
% 64.92/16.56 Id : 1169, {_}: ifeq true true (c_in ?1306 (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 v_p ?1306 t_a) v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a)) true =>= true [1306] by Super 1157 with 33 at 1,2
% 64.92/16.56 Id : 1193, {_}: c_in ?1306 (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 v_p ?1306 t_a) v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a) =>= true [1306] by Demod 1169 with 2 at 2
% 64.92/16.56 Id : 1210, {_}: ifeq true true (c_in ?1342 (c_PropLog_Othms (c_insert ?1343 (c_insert (c_PropLog_Opl_Oop_A_N_62 v_p ?1342 t_a) v_H (tc_PropLog_Opl t_a)) (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a)) true =>= true [1343, 1342] by Super 6 with 1193 at 1,2
% 64.92/16.56 Id : 1240, {_}: c_in ?1342 (c_PropLog_Othms (c_insert ?1343 (c_insert (c_PropLog_Opl_Oop_A_N_62 v_p ?1342 t_a) v_H (tc_PropLog_Opl t_a)) (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a) =>= true [1343, 1342] by Demod 1210 with 2 at 2
% 64.92/16.56 Id : 4503, {_}: ifeq true true (c_in ?5128 (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 ?5129 ?5128 t_a) (c_insert (c_PropLog_Opl_Oop_A_N_62 v_p ?5129 t_a) v_H (tc_PropLog_Opl t_a)) (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a)) true =>= true [5129, 5128] by Super 62 with 1240 at 1,2
% 64.92/16.56 Id : 4546, {_}: c_in ?5128 (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 ?5129 ?5128 t_a) (c_insert (c_PropLog_Opl_Oop_A_N_62 v_p ?5129 t_a) v_H (tc_PropLog_Opl t_a)) (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a) =>= true [5129, 5128] by Demod 4503 with 2 at 2
% 64.92/16.56 Id : 24666, {_}: ifeq true true (c_in (c_PropLog_Opl_Oop_A_N_62 (c_PropLog_Opl_Oop_A_N_62 ?28662 ?28663 t_a) ?28663 t_a) (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 v_p ?28662 t_a) v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a)) true =>= true [28663, 28662] by Super 4 with 4546 at 1,2
% 64.92/16.56 Id : 24707, {_}: c_in (c_PropLog_Opl_Oop_A_N_62 (c_PropLog_Opl_Oop_A_N_62 ?28662 ?28663 t_a) ?28663 t_a) (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 v_p ?28662 t_a) v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a) =>= true [28663, 28662] by Demod 24666 with 2 at 2
% 64.92/16.56 Id : 26590, {_}: ifeq true true (c_in c_PropLog_Opl_Ofalse (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 v_p v_q t_a) v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a)) true =>= true [] by Super 26507 with 24707 at 1,2
% 64.92/16.56 Id : 26698, {_}: c_in c_PropLog_Opl_Ofalse (c_PropLog_Othms (c_insert (c_PropLog_Opl_Oop_A_N_62 v_p v_q t_a) v_H (tc_PropLog_Opl t_a)) t_a) (tc_PropLog_Opl t_a) =>= true [] by Demod 26590 with 2 at 2
% 64.92/16.56 Id : 26707, {_}: ifeq true true (c_in (c_PropLog_Opl_Oop_A_N_62 (c_PropLog_Opl_Oop_A_N_62 v_p v_q t_a) c_PropLog_Opl_Ofalse t_a) (c_PropLog_Othms v_H t_a) (tc_PropLog_Opl t_a)) true =>= true [] by Super 4 with 26698 at 1,2
% 64.92/16.56 Id : 26723, {_}: c_in (c_PropLog_Opl_Oop_A_N_62 (c_PropLog_Opl_Oop_A_N_62 v_p v_q t_a) c_PropLog_Opl_Ofalse t_a) (c_PropLog_Othms v_H t_a) (tc_PropLog_Opl t_a) =>= true [] by Demod 26707 with 2 at 2
% 64.92/16.56 Id : 26763, {_}: true === true [] by Demod 1 with 26723 at 2
% 64.92/16.56 Id : 1, {_}: c_in (c_PropLog_Opl_Oop_A_N_62 (c_PropLog_Opl_Oop_A_N_62 v_p v_q t_a) c_PropLog_Opl_Ofalse t_a) (c_PropLog_Othms v_H t_a) (tc_PropLog_Opl t_a) =>= true [] by cls_conjecture_2
% 64.92/16.56 % SZS output end CNFRefutation for theBenchmark.p
% 64.92/16.56 4153: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 16.212599 using nrkbo
%------------------------------------------------------------------------------