%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:29:00 PM UTC 2026
% Result : Unsatisfiable 0.21s 10.82s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 5 unt; 0 nHn; 23 RR)
% Number of literals : 57 ( 5 equ; 37 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 40 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(part_1,negated_conjecture,
( ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y)
| x = y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_1) ).
cnf(t10_2,axiom,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_2) ).
cnf(t10_3,axiom,
( ~ colinear(X1,X2,X3)
| colinear(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_3) ).
cnf(colinearity1,axiom,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(part_2,negated_conjecture,
( ~ colinear(x,z,y)
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_2) ).
cnf(t2,axiom,
between(X1,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).
cnf(colinearity3,axiom,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(c_0_7,negated_conjecture,
( ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y)
| x = y ),
inference(fof_simplification,[status(thm)],[part_1]) ).
cnf(c_0_8,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[t10_2]) ).
cnf(c_0_9,plain,
( ~ colinear(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[t10_3]) ).
cnf(c_0_10,negated_conjecture,
( ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y)
| x = y ),
c_0_7 ).
cnf(c_0_11,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
c_0_8 ).
cnf(c_0_12,plain,
( ~ colinear(X1,X2,X3)
| colinear(X1,X3,X2) ),
c_0_9 ).
cnf(c_0_13,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity1]) ).
cnf(c_0_14,negated_conjecture,
( ~ colinear(x,z,y)
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
inference(fof_simplification,[status(thm)],[part_2]) ).
cnf(c_0_15,negated_conjecture,
( ~ colinear(x,x,y)
| y = x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_16,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
c_0_13 ).
cnf(c_0_17,axiom,
between(X1,X1,X2),
t2 ).
cnf(c_0_18,negated_conjecture,
( ~ colinear(x,z,y)
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
c_0_14 ).
cnf(c_0_19,negated_conjecture,
y = x,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_20,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[colinearity3]) ).
cnf(c_0_21,negated_conjecture,
( ~ colinear(x,z,x)
| ~ colinear(x,x,x) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_19]),c_0_19]),c_0_19])]) ).
cnf(c_0_22,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
c_0_20 ).
cnf(c_0_23,negated_conjecture,
~ colinear(x,x,x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_17])]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO067-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/10.66 % Computer : n013.cluster.edu
% 0.17/10.66 % Model : x86_64 x86_64
% 0.17/10.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.66 % Memory : 8046.5625MB
% 0.17/10.66 % OS : Linux 6.8.0-71-generic
% 0.17/10.66 % CPULimit : 300
% 0.17/10.66 % WCLimit : 300
% 0.17/10.66 % DateTime : Sun Sep 20 09:28:57 UTC 2026
% 0.17/10.66 % CPUTime :
% 0.17/10.67 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/10.74 Running first-order theorem proving
% 0.21/10.74 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/benchmark/theBenchmark.p
% 0.21/10.82 % Version: 3.5.1
% 0.21/10.82 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/10.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/10.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/10.82 % Starting new_bool_3 with 300s (1) cores
% 0.21/10.82 % Starting new_bool_1 with 300s (1) cores
% 0.21/10.82 % Starting sh5l with 300s (1) cores
% 0.21/10.82 % new_bool_3 with pid 2549095 completed with status 0
% 0.21/10.82 % Result found by new_bool_3
% 0.21/10.82 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/10.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/10.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/10.82 % Starting new_bool_3 with 300s (1) cores
% 0.21/10.82 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/10.82 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/10.82 % Search class: FGHSS-FFMF00-SFFFFFNN
% 0.21/10.82 % partial match(2): FGHSS-FFMF32-SFFFFFNN
% 0.21/10.82 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/10.82 % Starting SubtermCWHack with 31s (1) cores
% 0.21/10.82 % SubtermCWHack with pid 2549099 completed with status 0
% 0.21/10.82 % Result found by SubtermCWHack
% 0.21/10.82 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/10.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/10.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/10.82 % Starting new_bool_3 with 300s (1) cores
% 0.21/10.82 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/10.82 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/10.82 % Search class: FGHSS-FFMF00-SFFFFFNN
% 0.21/10.82 % partial match(2): FGHSS-FFMF32-SFFFFFNN
% 0.21/10.82 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/10.82 % Starting SubtermCWHack with 31s (1) cores
% 0.21/10.82 % Preprocessing time : 0.002 s
% 0.21/10.82
% 0.21/10.82 % Proof found!
% 0.21/10.82 % SZS status Unsatisfiable
% 0.21/10.82 % SZS output start CNFRefutation
% See solution above
% 0.21/10.82 % Parsed axioms : 98
% 0.21/10.82 % Removed by relevancy pruning/SinE : 63
% 0.21/10.82 % Initial clauses : 35
% 0.21/10.82 % Removed in clause preprocessing : 1
% 0.21/10.82 % Initial clauses in saturation : 34
% 0.21/10.82 % Processed clauses : 69
% 0.21/10.82 % ...of these trivial : 0
% 0.21/10.82 % ...subsumed : 34
% 0.21/10.82 % ...remaining for further processing : 35
% 0.21/10.82 % Other redundant clauses eliminated : 1
% 0.21/10.82 % Clauses deleted for lack of memory : 0
% 0.21/10.82 % Backward-subsumed : 1
% 0.21/10.82 % Backward-rewritten : 1
% 0.21/10.82 % Generated clauses : 80
% 0.21/10.82 % ...of the previous two non-redundant : 50
% 0.21/10.82 % ...aggressively subsumed : 0
% 0.21/10.82 % Contextual simplify-reflections : 2
% 0.21/10.82 % Paramodulations : 79
% 0.21/10.82 % Factorizations : 0
% 0.21/10.82 % NegExts : 0
% 0.21/10.82 % Equation resolutions : 1
% 0.21/10.82 % Disequality decompositions : 0
% 0.21/10.82 % Total rewrite steps : 29
% 0.21/10.82 % ...of those cached : 19
% 0.21/10.82 % Propositional unsat checks : 0
% 0.21/10.82 % Propositional check models : 0
% 0.21/10.82 % Propositional check unsatisfiable : 0
% 0.21/10.82 % Propositional clauses : 0
% 0.21/10.82 % Propositional clauses after purity: 0
% 0.21/10.82 % Propositional unsat core size : 0
% 0.21/10.82 % Propositional preprocessing time : 0.000
% 0.21/10.82 % Propositional encoding time : 0.000
% 0.21/10.82 % Propositional solver time : 0.000
% 0.21/10.82 % Success case prop preproc time : 0.000
% 0.21/10.82 % Success case prop encoding time : 0.000
% 0.21/10.82 % Success case prop solver time : 0.000
% 0.21/10.82 % Current number of processed clauses : 32
% 0.21/10.82 % Positive orientable unit clauses : 3
% 0.21/10.82 % Positive unorientable unit clauses: 0
% 0.21/10.82 % Negative unit clauses : 1
% 0.21/10.82 % Non-unit-clauses : 28
% 0.21/10.82 % Current number of unprocessed clauses: 10
% 0.21/10.82 % ...number of literals in the above : 29
% 0.21/10.82 % Current number of archived formulas : 0
% 0.21/10.82 % Current number of archived clauses : 2
% 0.21/10.82 % Clause-clause subsumption calls (NU) : 575
% 0.21/10.82 % Rec. Clause-clause subsumption calls : 471
% 0.21/10.82 % Non-unit clause-clause subsumptions : 36
% 0.21/10.82 % Unit Clause-clause subsumption calls : 1
% 0.21/10.82 % Rewrite failures with RHS unbound : 0
% 0.21/10.82 % BW rewrite match attempts : 2
% 0.21/10.82 % BW rewrite match successes : 1
% 0.21/10.82 % Condensation attempts : 0
% 0.21/10.82 % Condensation successes : 0
% 0.21/10.82 % Termbank termtop insertions : 2174
% 0.21/10.82 % Search garbage collected termcells : 367
% 0.21/10.82
% 0.21/10.82 % -------------------------------------------------
% 0.21/10.82 % User time : 0.007 s
% 0.21/10.82 % System time : 0.004 s
% 0.21/10.82 % Total time : 0.010 s
% 0.21/10.82 % Maximum resident set size: 3708 pages
% 0.21/10.82
% 0.21/10.82 % -------------------------------------------------
% 0.21/10.82 % User time : 0.011 s
% 0.21/10.82 % System time : 0.012 s
% 0.21/10.82 % Total time : 0.023 s
% 0.21/10.82 % Maximum resident set size: 4864 pages
% 0.21/10.82 % E exiting
%------------------------------------------------------------------------------