TSTP Solution File: COL060-1 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : COL060-1 : 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 00:35:59 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : COL060-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue May 31 09:26:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  20687: Facts:
% 0.12/0.34  20687:  Id :   2, {_}:
% 0.12/0.34            apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
% 0.12/0.34            [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.12/0.34  20687:  Id :   3, {_}:
% 0.12/0.34            apply (apply t ?7) ?8 =>= apply ?8 ?7
% 0.12/0.34            [8, 7] by t_definition ?7 ?8
% 0.12/0.34  20687: Goal:
% 0.12/0.34  20687:  Id :   1, {_}:
% 0.12/0.34            apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1)
% 0.12/0.34            =>=
% 0.12/0.34            apply (g ?1) (apply (f ?1) (h ?1))
% 0.12/0.34            [1] by prove_q_combinator ?1
% 0.20/0.49  Goal subsumed
% 0.20/0.49  Statistics :
% 0.20/0.49  Max weight : 76
% 0.20/0.49  Found proof, 0.149630s
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.49  % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.49  Id :   3, {_}: apply (apply t ?7) ?8 =>= apply ?8 ?7 [8, 7] by t_definition ?7 ?8
% 0.20/0.49  Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
% 0.20/0.49  Id : 407, {_}: apply (g (apply (apply b (apply t b)) (apply (apply b b) t))) (apply (f (apply (apply b (apply t b)) (apply (apply b b) t))) (h (apply (apply b (apply t b)) (apply (apply b b) t)))) === apply (g (apply (apply b (apply t b)) (apply (apply b b) t))) (apply (f (apply (apply b (apply t b)) (apply (apply b b) t))) (h (apply (apply b (apply t b)) (apply (apply b b) t)))) [] by Super 405 with 2 at 2
% 0.20/0.49  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 (g (apply (apply b (apply t ?1205)) (apply (apply b b) t))) (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)))) [1205] by Super 386 with 3 at 1,2
% 0.20/0.49  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 (g (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151))) (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)))) [1152, 1151] by Super 47 with 2 at 1,2
% 0.20/0.49  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 (g (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124))) (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)))) [125, 124, 123] by Super 22 with 2 at 1,1,1,2
% 0.20/0.50  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 (g (apply (apply b (apply t ?58)) ?57)) (apply (f (apply (apply b (apply t ?58)) ?57)) (h (apply (apply b (apply t ?58)) ?57))) [58, 57] by Super 8 with 3 at 1,1,2
% 0.20/0.50  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 (g (apply (apply b ?24) ?25)) (apply (f (apply (apply b ?24) ?25)) (h (apply (apply b ?24) ?25))) [25, 24] by Super 1 with 2 at 1,1,2
% 0.20/0.50  Id :   1, {_}: apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1) =>= apply (g ?1) (apply (f ?1) (h ?1)) [1] by prove_q_combinator ?1
% 0.20/0.50  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.50  20690: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.15146 using nrkbo
%------------------------------------------------------------------------------