TSTP Solution File: GEO067-2 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GEO067-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 07:44:06 EDT 2024
% Result : Unsatisfiable 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 8 unt; 0 nHn; 23 RR)
% Number of literals : 62 ( 9 equ; 38 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 57 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.HlY5V40oXB/E---3.1_30051.p',identity_for_equidistance) ).
cnf(part_2,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
file('/export/starexec/sandbox2/tmp/tmp.HlY5V40oXB/E---3.1_30051.p',part_2) ).
cnf(colinearity3,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.HlY5V40oXB/E---3.1_30051.p',colinearity3) ).
cnf(colinearity1,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.HlY5V40oXB/E---3.1_30051.p',colinearity1) ).
cnf(colinearity2,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.HlY5V40oXB/E---3.1_30051.p',colinearity2) ).
cnf(part_1,negated_conjecture,
( x = y
| ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x) ),
file('/export/starexec/sandbox2/tmp/tmp.HlY5V40oXB/E---3.1_30051.p',part_1) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/tmp/tmp.HlY5V40oXB/E---3.1_30051.p',segment_construction2) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/tmp/tmp.HlY5V40oXB/E---3.1_30051.p',segment_construction1) ).
cnf(c_0_8,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_9,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
inference(fof_simplification,[status(thm)],[part_2]) ).
cnf(c_0_10,plain,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity3]) ).
cnf(c_0_11,plain,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity1]) ).
cnf(c_0_12,plain,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity2]) ).
cnf(c_0_13,negated_conjecture,
( x = y
| ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x) ),
inference(fof_simplification,[status(thm)],[part_1]) ).
cnf(c_0_14,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
c_0_8 ).
cnf(c_0_15,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_16,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
c_0_9 ).
cnf(c_0_17,plain,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
c_0_10 ).
cnf(c_0_18,plain,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
c_0_11 ).
cnf(c_0_19,plain,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
c_0_12 ).
cnf(c_0_20,negated_conjecture,
( x = y
| ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x) ),
c_0_13 ).
cnf(c_0_21,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_22,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( ~ colinear(x,z,y)
| ~ between(x,y,x) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( y = x
| ~ between(y,x,x) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_18]),c_0_19]),c_0_17]) ).
cnf(c_0_25,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( ~ between(x,y,x)
| ~ between(z,y,x) ),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
y = x,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_25]),c_0_27]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO067-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.12/0.31 % Computer : n013.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 18:47:53 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.43 Running first-order model finding
% 0.17/0.43 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.HlY5V40oXB/E---3.1_30051.p
% 0.17/0.44 # Version: 3.1.0
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.44 # Starting sh5l with 300s (1) cores
% 0.17/0.44 # sh5l with pid 30131 completed with status 0
% 0.17/0.44 # Result found by sh5l
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.44 # Starting sh5l with 300s (1) cores
% 0.17/0.44 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.44 # Search class: FGHSS-FFMF33-SFFFFFNN
% 0.17/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44 # Starting SAT001_MinMin_p005000_rr_RG with 121s (1) cores
% 0.17/0.44 # SAT001_MinMin_p005000_rr_RG with pid 30136 completed with status 0
% 0.17/0.44 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.44 # Starting sh5l with 300s (1) cores
% 0.17/0.44 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.44 # Search class: FGHSS-FFMF33-SFFFFFNN
% 0.17/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44 # Starting SAT001_MinMin_p005000_rr_RG with 121s (1) cores
% 0.17/0.44 # Preprocessing time : 0.001 s
% 0.17/0.44 # Presaturation interreduction done
% 0.17/0.44
% 0.17/0.44 # Proof found!
% 0.17/0.44 # SZS status Unsatisfiable
% 0.17/0.44 # SZS output start CNFRefutation
% See solution above
% 0.17/0.44 # Parsed axioms : 24
% 0.17/0.44 # Removed by relevancy pruning/SinE : 8
% 0.17/0.44 # Initial clauses : 16
% 0.17/0.44 # Removed in clause preprocessing : 0
% 0.17/0.44 # Initial clauses in saturation : 16
% 0.17/0.44 # Processed clauses : 47
% 0.17/0.44 # ...of these trivial : 0
% 0.17/0.44 # ...subsumed : 1
% 0.17/0.44 # ...remaining for further processing : 46
% 0.17/0.44 # Other redundant clauses eliminated : 0
% 0.17/0.44 # Clauses deleted for lack of memory : 0
% 0.17/0.44 # Backward-subsumed : 0
% 0.17/0.44 # Backward-rewritten : 16
% 0.17/0.44 # Generated clauses : 24
% 0.17/0.44 # ...of the previous two non-redundant : 28
% 0.17/0.44 # ...aggressively subsumed : 0
% 0.17/0.44 # Contextual simplify-reflections : 10
% 0.17/0.44 # Paramodulations : 24
% 0.17/0.44 # Factorizations : 0
% 0.17/0.44 # NegExts : 0
% 0.17/0.44 # Equation resolutions : 0
% 0.17/0.44 # Disequality decompositions : 0
% 0.17/0.44 # Total rewrite steps : 15
% 0.17/0.44 # ...of those cached : 11
% 0.17/0.44 # Propositional unsat checks : 0
% 0.17/0.44 # Propositional check models : 0
% 0.17/0.44 # Propositional check unsatisfiable : 0
% 0.17/0.44 # Propositional clauses : 0
% 0.17/0.44 # Propositional clauses after purity: 0
% 0.17/0.44 # Propositional unsat core size : 0
% 0.17/0.44 # Propositional preprocessing time : 0.000
% 0.17/0.44 # Propositional encoding time : 0.000
% 0.17/0.44 # Propositional solver time : 0.000
% 0.17/0.44 # Success case prop preproc time : 0.000
% 0.17/0.44 # Success case prop encoding time : 0.000
% 0.17/0.44 # Success case prop solver time : 0.000
% 0.17/0.44 # Current number of processed clauses : 14
% 0.17/0.44 # Positive orientable unit clauses : 6
% 0.17/0.44 # Positive unorientable unit clauses: 0
% 0.17/0.44 # Negative unit clauses : 0
% 0.17/0.44 # Non-unit-clauses : 8
% 0.17/0.44 # Current number of unprocessed clauses: 11
% 0.17/0.44 # ...number of literals in the above : 35
% 0.17/0.44 # Current number of archived formulas : 0
% 0.17/0.44 # Current number of archived clauses : 32
% 0.17/0.44 # Clause-clause subsumption calls (NU) : 284
% 0.17/0.44 # Rec. Clause-clause subsumption calls : 199
% 0.17/0.44 # Non-unit clause-clause subsumptions : 11
% 0.17/0.44 # Unit Clause-clause subsumption calls : 1
% 0.17/0.44 # Rewrite failures with RHS unbound : 0
% 0.17/0.44 # BW rewrite match attempts : 26
% 0.17/0.44 # BW rewrite match successes : 2
% 0.17/0.44 # Condensation attempts : 0
% 0.17/0.44 # Condensation successes : 0
% 0.17/0.44 # Termbank termtop insertions : 1004
% 0.17/0.44 # Search garbage collected termcells : 110
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.003 s
% 0.17/0.44 # System time : 0.002 s
% 0.17/0.44 # Total time : 0.005 s
% 0.17/0.44 # Maximum resident set size: 1728 pages
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.004 s
% 0.17/0.44 # System time : 0.004 s
% 0.17/0.44 # Total time : 0.008 s
% 0.17/0.44 # Maximum resident set size: 1708 pages
% 0.17/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------