TSTP Solution File: SEV168^5 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV168^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 : Tue May 21 04:07:54 EDT 2024
% Result : Theorem 0.21s 0.48s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 3 ~; 0 |; 4 &; 32 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 40 ( 40 ^ 0 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
q: ( a > a > a ) > a ).
thf(decl_23,type,
p: ( a > a > a ) > a ).
thf(cTHM188_PARTIAL_pme,conjecture,
( ( ( q
= ( ^ [X1: a > a > a] :
( X1
@ ( q
@ ^ [X2: a,X3: a] : X2 )
@ ( q
@ ^ [X2: a,X3: a] : X3 ) ) ) )
& ( p
= ( ^ [X1: a > a > a] :
( X1
@ ( q
@ ^ [X2: a,X3: a] : X2 )
@ ( q
@ ^ [X2: a,X3: a] : X3 ) ) ) ) )
=> ( p = q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM188_PARTIAL_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ( ( q
= ( ^ [Z0: a > a > a] :
( Z0
@ ( q
@ ^ [Z1: a,Z2: a] : Z1 )
@ ( q
@ ^ [Z1: a,Z2: a] : Z2 ) ) ) )
& ( p
= ( ^ [Z0: a > a > a] :
( Z0
@ ( q
@ ^ [Z1: a,Z2: a] : Z1 )
@ ( q
@ ^ [Z1: a,Z2: a] : Z2 ) ) ) ) )
=> ( p = q ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM188_PARTIAL_pme])]) ).
thf(c_0_2,negated_conjecture,
( ( q
= ( ^ [Z0: a > a > a] :
( Z0
@ ( q
@ ^ [Z1: a,Z2: a] : Z1 )
@ ( q
@ ^ [Z1: a,Z2: a] : Z2 ) ) ) )
& ( p
= ( ^ [Z0: a > a > a] :
( Z0
@ ( q
@ ^ [Z1: a,Z2: a] : Z1 )
@ ( q
@ ^ [Z1: a,Z2: a] : Z2 ) ) ) )
& ( p != q ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
( p
= ( ^ [Z0: a > a > a] :
( Z0
@ ( q
@ ^ [Z1: a,Z2: a] : Z1 )
@ ( q
@ ^ [Z1: a,Z2: a] : Z2 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( q
= ( ^ [Z0: a > a > a] :
( Z0
@ ( q
@ ^ [Z1: a,Z2: a] : Z1 )
@ ( q
@ ^ [Z1: a,Z2: a] : Z2 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
p != q,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV168^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun May 19 19:02:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.21/0.47 Running higher-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 # Version: 3.1.0-ho
% 0.21/0.48 # Preprocessing class: HSSSSMSSSSLNHHN.
% 0.21/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.48 # Starting sh5l with 300s (1) cores
% 0.21/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.48 # Starting new_bool_2 with 300s (1) cores
% 0.21/0.48 # new_bool_1 with pid 12912 completed with status 0
% 0.21/0.48 # Result found by new_bool_1
% 0.21/0.48 # Preprocessing class: HSSSSMSSSSLNHHN.
% 0.21/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.48 # Starting sh5l with 300s (1) cores
% 0.21/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.48 # Search class: HUUPF-FFSF11-MHHFFFNN
% 0.21/0.48 # partial match(2): HUUPF-FFSF11-MSSFFFNN
% 0.21/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.48 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.48 # new_ho_10 with pid 12915 completed with status 0
% 0.21/0.48 # Result found by new_ho_10
% 0.21/0.48 # Preprocessing class: HSSSSMSSSSLNHHN.
% 0.21/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.48 # Starting sh5l with 300s (1) cores
% 0.21/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.48 # Search class: HUUPF-FFSF11-MHHFFFNN
% 0.21/0.48 # partial match(2): HUUPF-FFSF11-MSSFFFNN
% 0.21/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.48 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.48 # Preprocessing time : 0.001 s
% 0.21/0.48 # Presaturation interreduction done
% 0.21/0.48
% 0.21/0.48 # Proof found!
% 0.21/0.48 # SZS status Theorem
% 0.21/0.48 # SZS output start CNFRefutation
% See solution above
% 0.21/0.48 # Parsed axioms : 4
% 0.21/0.48 # Removed by relevancy pruning/SinE : 3
% 0.21/0.48 # Initial clauses : 3
% 0.21/0.48 # Removed in clause preprocessing : 0
% 0.21/0.48 # Initial clauses in saturation : 3
% 0.21/0.48 # Processed clauses : 3
% 0.21/0.48 # ...of these trivial : 0
% 0.21/0.48 # ...subsumed : 0
% 0.21/0.48 # ...remaining for further processing : 2
% 0.21/0.48 # Other redundant clauses eliminated : 0
% 0.21/0.48 # Clauses deleted for lack of memory : 0
% 0.21/0.48 # Backward-subsumed : 0
% 0.21/0.48 # Backward-rewritten : 0
% 0.21/0.48 # Generated clauses : 0
% 0.21/0.48 # ...of the previous two non-redundant : 0
% 0.21/0.48 # ...aggressively subsumed : 0
% 0.21/0.48 # Contextual simplify-reflections : 0
% 0.21/0.48 # Paramodulations : 0
% 0.21/0.48 # Factorizations : 0
% 0.21/0.48 # NegExts : 0
% 0.21/0.48 # Equation resolutions : 0
% 0.21/0.48 # Disequality decompositions : 0
% 0.21/0.48 # Total rewrite steps : 1
% 0.21/0.48 # ...of those cached : 0
% 0.21/0.48 # Propositional unsat checks : 0
% 0.21/0.48 # Propositional check models : 0
% 0.21/0.48 # Propositional check unsatisfiable : 0
% 0.21/0.48 # Propositional clauses : 0
% 0.21/0.48 # Propositional clauses after purity: 0
% 0.21/0.48 # Propositional unsat core size : 0
% 0.21/0.48 # Propositional preprocessing time : 0.000
% 0.21/0.48 # Propositional encoding time : 0.000
% 0.21/0.48 # Propositional solver time : 0.000
% 0.21/0.48 # Success case prop preproc time : 0.000
% 0.21/0.48 # Success case prop encoding time : 0.000
% 0.21/0.48 # Success case prop solver time : 0.000
% 0.21/0.48 # Current number of processed clauses : 2
% 0.21/0.48 # Positive orientable unit clauses : 1
% 0.21/0.48 # Positive unorientable unit clauses: 0
% 0.21/0.48 # Negative unit clauses : 1
% 0.21/0.48 # Non-unit-clauses : 0
% 0.21/0.48 # Current number of unprocessed clauses: 0
% 0.21/0.48 # ...number of literals in the above : 0
% 0.21/0.48 # Current number of archived formulas : 0
% 0.21/0.48 # Current number of archived clauses : 0
% 0.21/0.48 # Clause-clause subsumption calls (NU) : 0
% 0.21/0.48 # Rec. Clause-clause subsumption calls : 0
% 0.21/0.48 # Non-unit clause-clause subsumptions : 0
% 0.21/0.48 # Unit Clause-clause subsumption calls : 0
% 0.21/0.48 # Rewrite failures with RHS unbound : 0
% 0.21/0.48 # BW rewrite match attempts : 0
% 0.21/0.48 # BW rewrite match successes : 0
% 0.21/0.48 # Condensation attempts : 3
% 0.21/0.48 # Condensation successes : 0
% 0.21/0.48 # Termbank termtop insertions : 179
% 0.21/0.48 # Search garbage collected termcells : 19
% 0.21/0.48
% 0.21/0.48 # -------------------------------------------------
% 0.21/0.48 # User time : 0.003 s
% 0.21/0.48 # System time : 0.001 s
% 0.21/0.48 # Total time : 0.003 s
% 0.21/0.48 # Maximum resident set size: 1628 pages
% 0.21/0.48
% 0.21/0.48 # -------------------------------------------------
% 0.21/0.48 # User time : 0.003 s
% 0.21/0.48 # System time : 0.003 s
% 0.21/0.48 # Total time : 0.006 s
% 0.21/0.48 # Maximum resident set size: 1732 pages
% 0.21/0.49 % E---3.1 exiting
% 0.21/0.49 % E exiting
%------------------------------------------------------------------------------