TSTP Solution File: COL062-1 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : COL062-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/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 00:36:00 EDT 2022

% Result   : Unsatisfiable 1.85s 0.83s
% Output   : CNFRefutation 1.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL062-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue May 31 13:17:37 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  16675: Facts:
% 0.14/0.34  16675:  Id :   2, {_}:
% 0.14/0.34            apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
% 0.14/0.34            [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.14/0.34  16675:  Id :   3, {_}:
% 0.14/0.34            apply (apply t ?7) ?8 =>= apply ?8 ?7
% 0.14/0.34            [8, 7] by t_definition ?7 ?8
% 0.14/0.34  16675: Goal:
% 0.14/0.34  16675:  Id :   1, {_}:
% 0.14/0.34            apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1)
% 0.14/0.34            =>=
% 0.14/0.34            apply (apply (f ?1) (h ?1)) (g ?1)
% 0.14/0.34            [1] by prove_c_combinator ?1
% 1.85/0.83  Goal subsumed
% 1.85/0.83  Statistics :
% 1.85/0.83  Max weight : 100
% 1.85/0.83  Found proof, 0.481642s
% 1.85/0.83  % SZS status Unsatisfiable for theBenchmark.p
% 1.85/0.83  % SZS output start CNFRefutation for theBenchmark.p
% 1.85/0.83  Id :   3, {_}: apply (apply t ?7) ?8 =>= apply ?8 ?7 [8, 7] by t_definition ?7 ?8
% 1.85/0.83  Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
% 1.85/0.83  Id : 1482, {_}: apply (apply (f (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))) (h (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t)))) (g (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))) === apply (apply (f (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))) (h (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t)))) (g (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))) [] by Super 1481 with 3 at 2
% 1.85/0.83  Id : 1481, {_}: apply (apply ?4652 (g (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t)))) (apply (f (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t))) (h (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t)))) =>= apply (apply (f (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t))) (h (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t)))) (g (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t))) [4652] by Super 407 with 2 at 2
% 1.85/0.83  Id : 407, {_}: apply (apply (apply ?1209 (apply ?1210 (g (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t))))) (f (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t)))) (h (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t))) =>= apply (apply (f (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t))) (h (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t)))) (g (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t))) [1210, 1209] by Super 405 with 2 at 1,1,2
% 1.85/0.83  Id : 405, {_}: apply (apply (apply ?1205 (g (apply (apply b (apply t ?1205)) (apply (apply b b) t)))) (f (apply (apply b (apply t ?1205)) (apply (apply b b) t)))) (h (apply (apply b (apply t ?1205)) (apply (apply b b) t))) =>= apply (apply (f (apply (apply b (apply t ?1205)) (apply (apply b b) t))) (h (apply (apply b (apply t ?1205)) (apply (apply b b) t)))) (g (apply (apply b (apply t ?1205)) (apply (apply b b) t))) [1205] by Super 386 with 3 at 1,2
% 1.85/0.83  Id : 386, {_}: apply (apply (apply ?1151 (f (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151)))) (apply ?1152 (g (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151))))) (h (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151))) =>= apply (apply (f (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151))) (h (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151)))) (g (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151))) [1152, 1151] by Super 47 with 2 at 1,2
% 1.85/0.83  Id :  47, {_}: apply (apply (apply (apply ?123 (apply ?124 (f (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124))))) ?125) (g (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124)))) (h (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124))) =>= apply (apply (f (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124))) (h (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124)))) (g (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124))) [125, 124, 123] by Super 22 with 2 at 1,1,1,2
% 1.85/0.83  Id :  22, {_}: apply (apply (apply (apply ?57 (f (apply (apply b (apply t ?58)) ?57))) ?58) (g (apply (apply b (apply t ?58)) ?57))) (h (apply (apply b (apply t ?58)) ?57)) =>= apply (apply (f (apply (apply b (apply t ?58)) ?57)) (h (apply (apply b (apply t ?58)) ?57))) (g (apply (apply b (apply t ?58)) ?57)) [58, 57] by Super 8 with 3 at 1,1,2
% 1.85/0.83  Id :   8, {_}: apply (apply (apply ?24 (apply ?25 (f (apply (apply b ?24) ?25)))) (g (apply (apply b ?24) ?25))) (h (apply (apply b ?24) ?25)) =>= apply (apply (f (apply (apply b ?24) ?25)) (h (apply (apply b ?24) ?25))) (g (apply (apply b ?24) ?25)) [25, 24] by Super 1 with 2 at 1,1,2
% 1.85/0.83  Id :   1, {_}: apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1) =>= apply (apply (f ?1) (h ?1)) (g ?1) [1] by prove_c_combinator ?1
% 1.85/0.83  % SZS output end CNFRefutation for theBenchmark.p
% 1.85/0.83  16678: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.483974 using nrkbo
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