TSTP Solution File: ITP341_1 by E-SAT---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP341_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 : 300s
% DateTime : Sat May 4 08:10:34 EDT 2024
% Result : Theorem 0.19s 0.55s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 11 unt; 8 typ; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'A_n_vec_n_vec$': $tType ).
tff(decl_sort2,type,
'A$': $tType ).
tff(decl_26,type,
'mat$': 'A$' > 'A_n_vec_n_vec$' ).
tff(decl_52,type,
'one$': 'A$' ).
tff(decl_54,type,
'matrix_inv$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).
tff(decl_70,type,
'a$': 'A_n_vec_n_vec$' ).
tff(decl_80,type,
'matrix_matrix_mult$': ( 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' ) > 'A_n_vec_n_vec$' ).
tff(decl_114,type,
'p$': 'A_n_vec_n_vec$' ).
tff(conjecture3,conjecture,
'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')) = 'matrix_inv$'('p$'),
file('/export/starexec/sandbox2/tmp/tmp.cNz4zjPc54/E---3.1_6387.p',conjecture3) ).
tff(axiom9,axiom,
! [X8: 'A_n_vec_n_vec$'] : ( 'matrix_matrix_mult$'(X8,'mat$'('one$')) = X8 ),
file('/export/starexec/sandbox2/tmp/tmp.cNz4zjPc54/E---3.1_6387.p',axiom9) ).
tff(axiom7,axiom,
'a$' = 'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')),
file('/export/starexec/sandbox2/tmp/tmp.cNz4zjPc54/E---3.1_6387.p',axiom7) ).
tff(c_0_3,negated_conjecture,
'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')) != 'matrix_inv$'('p$'),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conjecture3])]) ).
tff(c_0_4,negated_conjecture,
'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')) != 'matrix_inv$'('p$'),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
tff(c_0_5,plain,
! [X845: 'A_n_vec_n_vec$'] : ( 'matrix_matrix_mult$'(X845,'mat$'('one$')) = X845 ),
inference(variable_rename,[status(thm)],[axiom9]) ).
tcf(c_0_6,negated_conjecture,
'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')) != 'matrix_inv$'('p$'),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
'a$' = 'matrix_matrix_mult$'('matrix_inv$'('p$'),'mat$'('one$')),
inference(split_conjunct,[status(thm)],[axiom7]) ).
tcf(c_0_8,plain,
! [X2: 'A_n_vec_n_vec$'] : 'matrix_matrix_mult$'(X2,'mat$'('one$')) = X2,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_9,negated_conjecture,
'matrix_inv$'('p$') != 'a$',
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ITP341_1 : TPTP v8.1.2. Released v8.0.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 13:08:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.52 Running first-order model finding
% 0.19/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.cNz4zjPc54/E---3.1_6387.p
% 0.19/0.55 # Version: 3.1.0
% 0.19/0.55 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.55 # Starting sh5l with 300s (1) cores
% 0.19/0.55 # new_bool_3 with pid 6465 completed with status 0
% 0.19/0.55 # Result found by new_bool_3
% 0.19/0.55 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.55 # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.19/0.55 # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.55 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.19/0.55 # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 6469 completed with status 0
% 0.19/0.55 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.19/0.55 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.55 # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.19/0.55 # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.55 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.19/0.55 # Preprocessing time : 0.002 s
% 0.19/0.55 # Presaturation interreduction done
% 0.19/0.55
% 0.19/0.55 # Proof found!
% 0.19/0.55 # SZS status Theorem
% 0.19/0.55 # SZS output start CNFRefutation
% See solution above
% 0.19/0.55 # Parsed axioms : 533
% 0.19/0.55 # Removed by relevancy pruning/SinE : 357
% 0.19/0.55 # Initial clauses : 257
% 0.19/0.55 # Removed in clause preprocessing : 23
% 0.19/0.55 # Initial clauses in saturation : 234
% 0.19/0.55 # Processed clauses : 14
% 0.19/0.55 # ...of these trivial : 0
% 0.19/0.55 # ...subsumed : 0
% 0.19/0.55 # ...remaining for further processing : 14
% 0.19/0.55 # Other redundant clauses eliminated : 2
% 0.19/0.55 # Clauses deleted for lack of memory : 0
% 0.19/0.55 # Backward-subsumed : 0
% 0.19/0.55 # Backward-rewritten : 2
% 0.19/0.55 # Generated clauses : 2
% 0.19/0.55 # ...of the previous two non-redundant : 3
% 0.19/0.55 # ...aggressively subsumed : 0
% 0.19/0.55 # Contextual simplify-reflections : 0
% 0.19/0.55 # Paramodulations : 0
% 0.19/0.55 # Factorizations : 0
% 0.19/0.55 # NegExts : 0
% 0.19/0.55 # Equation resolutions : 2
% 0.19/0.55 # Disequality decompositions : 0
% 0.19/0.55 # Total rewrite steps : 3
% 0.19/0.55 # ...of those cached : 1
% 0.19/0.55 # Propositional unsat checks : 0
% 0.19/0.55 # Propositional check models : 0
% 0.19/0.55 # Propositional check unsatisfiable : 0
% 0.19/0.55 # Propositional clauses : 0
% 0.19/0.55 # Propositional clauses after purity: 0
% 0.19/0.55 # Propositional unsat core size : 0
% 0.19/0.55 # Propositional preprocessing time : 0.000
% 0.19/0.55 # Propositional encoding time : 0.000
% 0.19/0.55 # Propositional solver time : 0.000
% 0.19/0.55 # Success case prop preproc time : 0.000
% 0.19/0.55 # Success case prop encoding time : 0.000
% 0.19/0.55 # Success case prop solver time : 0.000
% 0.19/0.55 # Current number of processed clauses : 10
% 0.19/0.55 # Positive orientable unit clauses : 6
% 0.19/0.55 # Positive unorientable unit clauses: 0
% 0.19/0.55 # Negative unit clauses : 3
% 0.19/0.55 # Non-unit-clauses : 1
% 0.19/0.55 # Current number of unprocessed clauses: 223
% 0.19/0.55 # ...number of literals in the above : 413
% 0.19/0.55 # Current number of archived formulas : 0
% 0.19/0.55 # Current number of archived clauses : 2
% 0.19/0.55 # Clause-clause subsumption calls (NU) : 0
% 0.19/0.55 # Rec. Clause-clause subsumption calls : 0
% 0.19/0.55 # Non-unit clause-clause subsumptions : 0
% 0.19/0.55 # Unit Clause-clause subsumption calls : 0
% 0.19/0.55 # Rewrite failures with RHS unbound : 0
% 0.19/0.55 # BW rewrite match attempts : 2
% 0.19/0.55 # BW rewrite match successes : 2
% 0.19/0.55 # Condensation attempts : 0
% 0.19/0.55 # Condensation successes : 0
% 0.19/0.55 # Termbank termtop insertions : 13765
% 0.19/0.55 # Search garbage collected termcells : 4224
% 0.19/0.55
% 0.19/0.55 # -------------------------------------------------
% 0.19/0.55 # User time : 0.011 s
% 0.19/0.55 # System time : 0.003 s
% 0.19/0.55 # Total time : 0.014 s
% 0.19/0.55 # Maximum resident set size: 3248 pages
% 0.19/0.55
% 0.19/0.55 # -------------------------------------------------
% 0.19/0.55 # User time : 0.020 s
% 0.19/0.55 # System time : 0.006 s
% 0.19/0.55 # Total time : 0.026 s
% 0.19/0.55 # Maximum resident set size: 2560 pages
% 0.19/0.55 % E---3.1 exiting
%------------------------------------------------------------------------------