TSTP Solution File: GEO010-3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 07:41:06 EDT 2024
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 31 ( 6 unt; 3 nHn; 31 RR)
% Number of literals : 74 ( 0 equ; 44 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_colinear_in_all_orders,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
file('/export/starexec/sandbox2/tmp/tmp.G08vdKj7wb/E---3.1_17208.p',prove_colinear_in_all_orders) ).
cnf(c2_1,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.G08vdKj7wb/E---3.1_17208.p',c2_1) ).
cnf(c2_2,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.G08vdKj7wb/E---3.1_17208.p',c2_2) ).
cnf(colinearity1,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.G08vdKj7wb/E---3.1_17208.p',colinearity1) ).
cnf(colinearity2,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.G08vdKj7wb/E---3.1_17208.p',colinearity2) ).
cnf(c2_3,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.G08vdKj7wb/E---3.1_17208.p',c2_3) ).
cnf(colinearity3,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.G08vdKj7wb/E---3.1_17208.p',colinearity3) ).
cnf(colinearity4,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.G08vdKj7wb/E---3.1_17208.p',colinearity4) ).
cnf(abc_colinear,hypothesis,
colinear(a,b,c),
file('/export/starexec/sandbox2/tmp/tmp.G08vdKj7wb/E---3.1_17208.p',abc_colinear) ).
cnf(c_0_9,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
inference(fof_simplification,[status(thm)],[prove_colinear_in_all_orders]) ).
cnf(c_0_10,plain,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[c2_1]) ).
cnf(c_0_11,plain,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[c2_2]) ).
cnf(c_0_12,plain,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity1]) ).
cnf(c_0_13,plain,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity2]) ).
cnf(c_0_14,plain,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[c2_3]) ).
cnf(c_0_15,plain,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity3]) ).
cnf(c_0_16,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
c_0_9 ).
cnf(c_0_17,plain,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
c_0_10 ).
cnf(c_0_18,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity4]) ).
cnf(c_0_19,plain,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
c_0_11 ).
cnf(c_0_20,plain,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
c_0_12 ).
cnf(c_0_21,plain,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
c_0_13 ).
cnf(c_0_22,plain,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
c_0_14 ).
cnf(c_0_23,plain,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
c_0_15 ).
cnf(c_0_24,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ between(a,b,c) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
c_0_18 ).
cnf(c_0_26,hypothesis,
colinear(a,b,c),
abc_colinear ).
cnf(c_0_27,negated_conjecture,
~ between(c,a,b),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_19]),c_0_20]),c_0_21]),c_0_17]),c_0_22]) ).
cnf(c_0_28,negated_conjecture,
~ between(b,c,a),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_22]),c_0_23]),c_0_20]),c_0_19]),c_0_17]) ).
cnf(c_0_29,negated_conjecture,
~ between(a,b,c),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_21]),c_0_23]),c_0_22]),c_0_19]) ).
cnf(c_0_30,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n016.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 : 300
% 0.13/0.34 % DateTime : Fri May 3 18:34:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.G08vdKj7wb/E---3.1_17208.p
% 0.19/0.48 # Version: 3.1.0
% 0.19/0.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # Starting sh5l with 300s (1) cores
% 0.19/0.48 # new_bool_3 with pid 17287 completed with status 0
% 0.19/0.48 # Result found by new_bool_3
% 0.19/0.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48 # Search class: FGHSS-FFMF00-SFFFFFNN
% 0.19/0.48 # partial match(2): FGHSS-FFMF32-SFFFFFNN
% 0.19/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 114s (1) cores
% 0.19/0.48 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 17290 completed with status 0
% 0.19/0.48 # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48 # Search class: FGHSS-FFMF00-SFFFFFNN
% 0.19/0.48 # partial match(2): FGHSS-FFMF32-SFFFFFNN
% 0.19/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 114s (1) cores
% 0.19/0.48 # Preprocessing time : 0.001 s
% 0.19/0.48 # Presaturation interreduction done
% 0.19/0.48
% 0.19/0.48 # Proof found!
% 0.19/0.48 # SZS status Unsatisfiable
% 0.19/0.48 # SZS output start CNFRefutation
% See solution above
% 0.19/0.48 # Parsed axioms : 92
% 0.19/0.48 # Removed by relevancy pruning/SinE : 62
% 0.19/0.48 # Initial clauses : 30
% 0.19/0.48 # Removed in clause preprocessing : 1
% 0.19/0.48 # Initial clauses in saturation : 29
% 0.19/0.48 # Processed clauses : 62
% 0.19/0.48 # ...of these trivial : 0
% 0.19/0.48 # ...subsumed : 4
% 0.19/0.48 # ...remaining for further processing : 58
% 0.19/0.48 # Other redundant clauses eliminated : 1
% 0.19/0.48 # Clauses deleted for lack of memory : 0
% 0.19/0.48 # Backward-subsumed : 2
% 0.19/0.48 # Backward-rewritten : 0
% 0.19/0.48 # Generated clauses : 43
% 0.19/0.48 # ...of the previous two non-redundant : 23
% 0.19/0.48 # ...aggressively subsumed : 0
% 0.19/0.48 # Contextual simplify-reflections : 23
% 0.19/0.48 # Paramodulations : 42
% 0.19/0.48 # Factorizations : 0
% 0.19/0.48 # NegExts : 0
% 0.19/0.48 # Equation resolutions : 1
% 0.19/0.48 # Disequality decompositions : 0
% 0.19/0.48 # Total rewrite steps : 11
% 0.19/0.48 # ...of those cached : 8
% 0.19/0.48 # Propositional unsat checks : 0
% 0.19/0.48 # Propositional check models : 0
% 0.19/0.48 # Propositional check unsatisfiable : 0
% 0.19/0.48 # Propositional clauses : 0
% 0.19/0.48 # Propositional clauses after purity: 0
% 0.19/0.48 # Propositional unsat core size : 0
% 0.19/0.48 # Propositional preprocessing time : 0.000
% 0.19/0.48 # Propositional encoding time : 0.000
% 0.19/0.48 # Propositional solver time : 0.000
% 0.19/0.48 # Success case prop preproc time : 0.000
% 0.19/0.48 # Success case prop encoding time : 0.000
% 0.19/0.48 # Success case prop solver time : 0.000
% 0.19/0.48 # Current number of processed clauses : 28
% 0.19/0.48 # Positive orientable unit clauses : 3
% 0.19/0.48 # Positive unorientable unit clauses: 0
% 0.19/0.48 # Negative unit clauses : 6
% 0.19/0.48 # Non-unit-clauses : 19
% 0.19/0.48 # Current number of unprocessed clauses: 7
% 0.19/0.48 # ...number of literals in the above : 31
% 0.19/0.48 # Current number of archived formulas : 0
% 0.19/0.48 # Current number of archived clauses : 29
% 0.19/0.48 # Clause-clause subsumption calls (NU) : 710
% 0.19/0.48 # Rec. Clause-clause subsumption calls : 581
% 0.19/0.48 # Non-unit clause-clause subsumptions : 27
% 0.19/0.48 # Unit Clause-clause subsumption calls : 17
% 0.19/0.48 # Rewrite failures with RHS unbound : 0
% 0.19/0.48 # BW rewrite match attempts : 6
% 0.19/0.48 # BW rewrite match successes : 0
% 0.19/0.48 # Condensation attempts : 0
% 0.19/0.48 # Condensation successes : 0
% 0.19/0.48 # Termbank termtop insertions : 2105
% 0.19/0.48 # Search garbage collected termcells : 360
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.006 s
% 0.19/0.48 # System time : 0.001 s
% 0.19/0.48 # Total time : 0.007 s
% 0.19/0.48 # Maximum resident set size: 1728 pages
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.009 s
% 0.19/0.48 # System time : 0.001 s
% 0.19/0.48 # Total time : 0.010 s
% 0.19/0.48 # Maximum resident set size: 1764 pages
% 0.19/0.48 % E---3.1 exiting
% 0.19/0.48 % E exiting
%------------------------------------------------------------------------------