TSTP Solution File: COL065-1 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : COL065-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n022.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 00:36:02 EDT 2022

% Result   : Unsatisfiable 135.09s 34.10s
% Output   : CNFRefutation 135.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL065-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34  % Computer : n022.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 : Tue May 31 04:14:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  26836: Facts:
% 0.13/0.34  26836:  Id :   2, {_}:
% 0.13/0.34            apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
% 0.13/0.34            [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.13/0.34  26836:  Id :   3, {_}:
% 0.13/0.34            apply (apply t ?7) ?8 =>= apply ?8 ?7
% 0.13/0.34            [8, 7] by t_definition ?7 ?8
% 0.13/0.34  26836: Goal:
% 0.13/0.34  26836:  Id :   1, {_}:
% 0.13/0.34            apply (apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1)) (i ?1)
% 0.13/0.34            =>=
% 0.13/0.34            apply (apply (f ?1) (i ?1)) (apply (g ?1) (h ?1))
% 0.13/0.34            [1] by prove_g_combinator ?1
% 135.09/34.09  Goal subsumed
% 135.09/34.10  Statistics :
% 135.09/34.10  Max weight : 166
% 135.09/34.10  Found proof, 33.751131s
% 135.09/34.10  % SZS status Unsatisfiable for theBenchmark.p
% 135.09/34.10  % SZS output start CNFRefutation for theBenchmark.p
% 135.09/34.10  Id :   3, {_}: apply (apply t ?7) ?8 =>= apply ?8 ?7 [8, 7] by t_definition ?7 ?8
% 135.09/34.10  Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
% 135.09/34.10  Id : 24544, {_}: apply (apply (f (apply (apply b b) (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t)))) (i (apply (apply b b) (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))))) (apply (g (apply (apply b b) (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t)))) (h (apply (apply b b) (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))))) =?= apply (apply (f (apply (apply b b) (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t)))) (i (apply (apply b b) (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))))) (apply (g (apply (apply b b) (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t)))) (h (apply (apply b b) (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))))) [] by Super 24543 with 3 at 2
% 135.09/34.10  Id : 24543, {_}: apply (apply ?78471 (apply (g (apply (apply b b) (apply (apply b (apply t (apply (apply b b) ?78471))) (apply (apply b b) t)))) (h (apply (apply b b) (apply (apply b (apply t (apply (apply b b) ?78471))) (apply (apply b b) t)))))) (apply (f (apply (apply b b) (apply (apply b (apply t (apply (apply b b) ?78471))) (apply (apply b b) t)))) (i (apply (apply b b) (apply (apply b (apply t (apply (apply b b) ?78471))) (apply (apply b b) t))))) =>= apply (apply (f (apply (apply b b) (apply (apply b (apply t (apply (apply b b) ?78471))) (apply (apply b b) t)))) (i (apply (apply b b) (apply (apply b (apply t (apply (apply b b) ?78471))) (apply (apply b b) t))))) (apply (g (apply (apply b b) (apply (apply b (apply t (apply (apply b b) ?78471))) (apply (apply b b) t)))) (h (apply (apply b b) (apply (apply b (apply t (apply (apply b b) ?78471))) (apply (apply b b) t))))) [78471] by Super 5095 with 2 at 2
% 135.09/34.10  Id : 5095, {_}: apply (apply (apply ?15091 (apply ?15092 (apply (g (apply (apply b b) (apply (apply b (apply t (apply (apply b ?15091) ?15092))) (apply (apply b b) t)))) (h (apply (apply b b) (apply (apply b (apply t (apply (apply b ?15091) ?15092))) (apply (apply b b) t))))))) (f (apply (apply b b) (apply (apply b (apply t (apply (apply b ?15091) ?15092))) (apply (apply b b) t))))) (i (apply (apply b b) (apply (apply b (apply t (apply (apply b ?15091) ?15092))) (apply (apply b b) t)))) =>= apply (apply (f (apply (apply b b) (apply (apply b (apply t (apply (apply b ?15091) ?15092))) (apply (apply b b) t)))) (i (apply (apply b b) (apply (apply b (apply t (apply (apply b ?15091) ?15092))) (apply (apply b b) t))))) (apply (g (apply (apply b b) (apply (apply b (apply t (apply (apply b ?15091) ?15092))) (apply (apply b b) t)))) (h (apply (apply b b) (apply (apply b (apply t (apply (apply b ?15091) ?15092))) (apply (apply b b) t))))) [15092, 15091] by Super 5093 with 2 at 1,1,2
% 135.09/34.10  Id : 5093, {_}: apply (apply (apply ?15087 (apply (g (apply (apply b b) (apply (apply b (apply t ?15087)) (apply (apply b b) t)))) (h (apply (apply b b) (apply (apply b (apply t ?15087)) (apply (apply b b) t)))))) (f (apply (apply b b) (apply (apply b (apply t ?15087)) (apply (apply b b) t))))) (i (apply (apply b b) (apply (apply b (apply t ?15087)) (apply (apply b b) t)))) =>= apply (apply (f (apply (apply b b) (apply (apply b (apply t ?15087)) (apply (apply b b) t)))) (i (apply (apply b b) (apply (apply b (apply t ?15087)) (apply (apply b b) t))))) (apply (g (apply (apply b b) (apply (apply b (apply t ?15087)) (apply (apply b b) t)))) (h (apply (apply b b) (apply (apply b (apply t ?15087)) (apply (apply b b) t))))) [15087] by Super 5074 with 3 at 1,2
% 135.09/34.10  Id : 5074, {_}: apply (apply (apply ?15033 (f (apply (apply b b) (apply (apply b (apply t ?15034)) (apply (apply b b) ?15033))))) (apply ?15034 (apply (g (apply (apply b b) (apply (apply b (apply t ?15034)) (apply (apply b b) ?15033)))) (h (apply (apply b b) (apply (apply b (apply t ?15034)) (apply (apply b b) ?15033))))))) (i (apply (apply b b) (apply (apply b (apply t ?15034)) (apply (apply b b) ?15033)))) =>= apply (apply (f (apply (apply b b) (apply (apply b (apply t ?15034)) (apply (apply b b) ?15033)))) (i (apply (apply b b) (apply (apply b (apply t ?15034)) (apply (apply b b) ?15033))))) (apply (g (apply (apply b b) (apply (apply b (apply t ?15034)) (apply (apply b b) ?15033)))) (h (apply (apply b b) (apply (apply b (apply t ?15034)) (apply (apply b b) ?15033))))) [15034, 15033] by Super 429 with 2 at 1,2
% 135.09/34.10  Id : 429, {_}: apply (apply (apply (apply ?1268 (apply ?1269 (f (apply (apply b b) (apply (apply b (apply t ?1270)) (apply (apply b ?1268) ?1269)))))) ?1270) (apply (g (apply (apply b b) (apply (apply b (apply t ?1270)) (apply (apply b ?1268) ?1269)))) (h (apply (apply b b) (apply (apply b (apply t ?1270)) (apply (apply b ?1268) ?1269)))))) (i (apply (apply b b) (apply (apply b (apply t ?1270)) (apply (apply b ?1268) ?1269)))) =>= apply (apply (f (apply (apply b b) (apply (apply b (apply t ?1270)) (apply (apply b ?1268) ?1269)))) (i (apply (apply b b) (apply (apply b (apply t ?1270)) (apply (apply b ?1268) ?1269))))) (apply (g (apply (apply b b) (apply (apply b (apply t ?1270)) (apply (apply b ?1268) ?1269)))) (h (apply (apply b b) (apply (apply b (apply t ?1270)) (apply (apply b ?1268) ?1269))))) [1270, 1269, 1268] by Super 168 with 2 at 1,1,1,2
% 135.09/34.10  Id : 168, {_}: apply (apply (apply (apply ?507 (f (apply (apply b b) (apply (apply b (apply t ?508)) ?507)))) ?508) (apply (g (apply (apply b b) (apply (apply b (apply t ?508)) ?507))) (h (apply (apply b b) (apply (apply b (apply t ?508)) ?507))))) (i (apply (apply b b) (apply (apply b (apply t ?508)) ?507))) =>= apply (apply (f (apply (apply b b) (apply (apply b (apply t ?508)) ?507))) (i (apply (apply b b) (apply (apply b (apply t ?508)) ?507)))) (apply (g (apply (apply b b) (apply (apply b (apply t ?508)) ?507))) (h (apply (apply b b) (apply (apply b (apply t ?508)) ?507)))) [508, 507] by Super 33 with 3 at 1,1,2
% 135.09/34.10  Id :  33, {_}: apply (apply (apply ?97 (apply ?98 (f (apply (apply b b) (apply (apply b ?97) ?98))))) (apply (g (apply (apply b b) (apply (apply b ?97) ?98))) (h (apply (apply b b) (apply (apply b ?97) ?98))))) (i (apply (apply b b) (apply (apply b ?97) ?98))) =>= apply (apply (f (apply (apply b b) (apply (apply b ?97) ?98))) (i (apply (apply b b) (apply (apply b ?97) ?98)))) (apply (g (apply (apply b b) (apply (apply b ?97) ?98))) (h (apply (apply b b) (apply (apply b ?97) ?98)))) [98, 97] by Super 13 with 2 at 1,2
% 135.09/34.10  Id :  13, {_}: apply (apply (apply (apply ?33 (apply ?34 (apply ?35 (f (apply (apply b ?33) (apply (apply b ?34) ?35)))))) (g (apply (apply b ?33) (apply (apply b ?34) ?35)))) (h (apply (apply b ?33) (apply (apply b ?34) ?35)))) (i (apply (apply b ?33) (apply (apply b ?34) ?35))) =>= apply (apply (f (apply (apply b ?33) (apply (apply b ?34) ?35))) (i (apply (apply b ?33) (apply (apply b ?34) ?35)))) (apply (g (apply (apply b ?33) (apply (apply b ?34) ?35))) (h (apply (apply b ?33) (apply (apply b ?34) ?35)))) [35, 34, 33] by Super 6 with 2 at 2,1,1,1,2
% 135.09/34.10  Id :   6, {_}: apply (apply (apply (apply ?18 (apply ?19 (f (apply (apply b ?18) ?19)))) (g (apply (apply b ?18) ?19))) (h (apply (apply b ?18) ?19))) (i (apply (apply b ?18) ?19)) =>= apply (apply (f (apply (apply b ?18) ?19)) (i (apply (apply b ?18) ?19))) (apply (g (apply (apply b ?18) ?19)) (h (apply (apply b ?18) ?19))) [19, 18] by Super 1 with 2 at 1,1,1,2
% 135.09/34.10  Id :   1, {_}: apply (apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1)) (i ?1) =>= apply (apply (f ?1) (i ?1)) (apply (g ?1) (h ?1)) [1] by prove_g_combinator ?1
% 135.09/34.10  % SZS output end CNFRefutation for theBenchmark.p
% 135.09/34.10  26837: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 33.751087 using kbo
%------------------------------------------------------------------------------