%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO069-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 0.13s 5.46s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 55 ( 21 unt; 6 nHn; 53 RR)
% Number of literals : 101 ( 6 equ; 49 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 83 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t10_4,axiom,
( ~ colinear(X1,X2,X3)
| colinear(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_4) ).
cnf(t10_1,axiom,
( ~ colinear(X1,X2,X3)
| colinear(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_1) ).
cnf(wvu_colinear,hypothesis,
colinear(w,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wvu_colinear) ).
cnf(xvu_colinear,hypothesis,
colinear(x,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xvu_colinear) ).
cnf(t12_2,axiom,
( ~ colinear(X1,X2,X4)
| ~ colinear(X1,X2,X3)
| X1 = X2
| colinear(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_2) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
cnf(t10_2,axiom,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_2) ).
cnf(prove_xwu_and_xwv_colinear,negated_conjecture,
( ~ colinear(x,w,v)
| ~ colinear(x,w,u) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xwu_and_xwv_colinear) ).
cnf(c2_3,axiom,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_3) ).
cnf(c3_2,axiom,
colinear(X1,X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_2) ).
cnf(c2_2,axiom,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_2) ).
cnf(c2_1,axiom,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_1) ).
cnf(colinearity4,axiom,
( ~ colinear(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(c_0_13,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[t10_4]) ).
cnf(c_0_14,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t10_1]) ).
cnf(c_0_15,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X1,X2) ),
c_0_13 ).
cnf(c_0_16,hypothesis,
colinear(w,v,u),
wvu_colinear ).
cnf(c_0_17,hypothesis,
colinear(x,v,u),
xvu_colinear ).
cnf(c_0_18,plain,
( ~ colinear(X1,X2,X4)
| ~ colinear(X1,X2,X3)
| X1 = X2
| colinear(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[t12_2]) ).
cnf(c_0_19,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X2,X1) ),
c_0_14 ).
cnf(c_0_20,hypothesis,
u != v,
inference(fof_simplification,[status(thm)],[u_not_v]) ).
cnf(c_0_21,hypothesis,
colinear(u,w,v),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,hypothesis,
colinear(u,x,v),
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_23,plain,
( ~ colinear(X1,X2,X4)
| ~ colinear(X1,X2,X3)
| X1 = X2
| colinear(X2,X3,X4) ),
c_0_18 ).
cnf(c_0_24,hypothesis,
colinear(u,v,x),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_25,hypothesis,
u != v,
c_0_20 ).
cnf(c_0_26,hypothesis,
colinear(v,u,w),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_27,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[t10_2]) ).
cnf(c_0_28,hypothesis,
colinear(v,u,x),
inference(spm,[status(thm)],[c_0_15,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( ~ colinear(x,w,v)
| ~ colinear(x,w,u) ),
inference(fof_simplification,[status(thm)],[prove_xwu_and_xwv_colinear]) ).
cnf(c_0_30,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c2_3]) ).
cnf(c_0_31,hypothesis,
( ~ colinear(u,v,X1)
| colinear(v,X1,x) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_32,hypothesis,
( ~ colinear(v,u,X1)
| colinear(u,X1,w) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_26]),c_0_25]) ).
cnf(c_0_33,axiom,
colinear(X1,X2,X1),
c3_2 ).
cnf(c_0_34,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[c2_2]) ).
cnf(c_0_35,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[c2_1]) ).
cnf(c_0_36,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
c_0_27 ).
cnf(c_0_37,hypothesis,
( ~ colinear(v,u,X1)
| colinear(u,X1,x) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_28]),c_0_25]) ).
cnf(c_0_38,negated_conjecture,
( ~ colinear(x,w,v)
| ~ colinear(x,w,u) ),
c_0_29 ).
cnf(c_0_39,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
c_0_30 ).
cnf(c_0_40,hypothesis,
colinear(v,w,x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_41,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
c_0_34 ).
cnf(c_0_42,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
c_0_35 ).
cnf(c_0_43,plain,
( ~ colinear(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity4]) ).
cnf(c_0_44,hypothesis,
( ~ colinear(v,u,X1)
| colinear(X1,x,u) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,negated_conjecture,
( ~ between(w,x,u)
| ~ colinear(x,w,v) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,hypothesis,
colinear(x,w,v),
inference(spm,[status(thm)],[c_0_19,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( ~ between(x,u,w)
| ~ colinear(x,w,v) ),
inference(spm,[status(thm)],[c_0_38,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( ~ between(u,w,x)
| ~ colinear(x,w,v) ),
inference(spm,[status(thm)],[c_0_38,c_0_42]) ).
cnf(c_0_49,plain,
( ~ colinear(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| between(X1,X2,X3) ),
c_0_43 ).
cnf(c_0_50,hypothesis,
colinear(w,x,u),
inference(spm,[status(thm)],[c_0_44,c_0_26]) ).
cnf(c_0_51,negated_conjecture,
~ between(w,x,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).
cnf(c_0_52,negated_conjecture,
~ between(x,u,w),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_46])]) ).
cnf(c_0_53,negated_conjecture,
~ between(u,w,x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_46])]) ).
cnf(c_0_54,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO069-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.37 % Computer : n019.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 09:35:11 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.43 Running first-order theorem proving
% 0.13/5.43 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.13/5.46 % Version: 3.5.1
% 0.13/5.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.46 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.46 % Starting sh5l with 300s (1) cores
% 0.13/5.46 % new_bool_3 with pid 4189143 completed with status 0
% 0.13/5.46 % Result found by new_bool_3
% 0.13/5.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/5.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/5.46 % Search class: FGHSM-FFMF00-SFFFFFNN
% 0.13/5.46 % partial match(2): FGHSM-FFMF21-SFFFFFNN
% 0.13/5.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/5.46 % Starting SubtermCWHack with 31s (1) cores
% 0.13/5.46 % SubtermCWHack with pid 4189151 completed with status 0
% 0.13/5.46 % Result found by SubtermCWHack
% 0.13/5.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/5.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/5.46 % Search class: FGHSM-FFMF00-SFFFFFNN
% 0.13/5.46 % partial match(2): FGHSM-FFMF21-SFFFFFNN
% 0.13/5.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/5.46 % Starting SubtermCWHack with 31s (1) cores
% 0.13/5.46 % Preprocessing time : 0.002 s
% 0.13/5.46
% 0.13/5.46 % Proof found!
% 0.13/5.46 % SZS status Unsatisfiable
% 0.13/5.46 % SZS output start CNFRefutation
% See solution above
% 0.13/5.46 % Parsed axioms : 107
% 0.13/5.46 % Removed by relevancy pruning/SinE : 39
% 0.13/5.46 % Initial clauses : 68
% 0.13/5.46 % Removed in clause preprocessing : 1
% 0.13/5.46 % Initial clauses in saturation : 67
% 0.13/5.46 % Processed clauses : 178
% 0.13/5.46 % ...of these trivial : 15
% 0.13/5.46 % ...subsumed : 40
% 0.13/5.46 % ...remaining for further processing : 123
% 0.13/5.46 % Other redundant clauses eliminated : 2
% 0.13/5.46 % Clauses deleted for lack of memory : 0
% 0.13/5.46 % Backward-subsumed : 36
% 0.13/5.46 % Backward-rewritten : 7
% 0.13/5.46 % Generated clauses : 373
% 0.13/5.46 % ...of the previous two non-redundant : 236
% 0.13/5.46 % ...aggressively subsumed : 0
% 0.13/5.46 % Contextual simplify-reflections : 0
% 0.13/5.46 % Paramodulations : 371
% 0.13/5.46 % Factorizations : 0
% 0.13/5.46 % NegExts : 0
% 0.13/5.46 % Equation resolutions : 2
% 0.13/5.46 % Disequality decompositions : 0
% 0.13/5.46 % Total rewrite steps : 158
% 0.13/5.46 % ...of those cached : 120
% 0.13/5.46 % Propositional unsat checks : 0
% 0.13/5.46 % Propositional check models : 0
% 0.13/5.46 % Propositional check unsatisfiable : 0
% 0.13/5.46 % Propositional clauses : 0
% 0.13/5.46 % Propositional clauses after purity: 0
% 0.13/5.46 % Propositional unsat core size : 0
% 0.13/5.46 % Propositional preprocessing time : 0.000
% 0.13/5.46 % Propositional encoding time : 0.000
% 0.13/5.46 % Propositional solver time : 0.000
% 0.13/5.46 % Success case prop preproc time : 0.000
% 0.13/5.46 % Success case prop encoding time : 0.000
% 0.13/5.46 % Success case prop solver time : 0.000
% 0.13/5.46 % Current number of processed clauses : 78
% 0.13/5.46 % Positive orientable unit clauses : 27
% 0.13/5.46 % Positive unorientable unit clauses: 0
% 0.13/5.46 % Negative unit clauses : 8
% 0.13/5.46 % Non-unit-clauses : 43
% 0.13/5.46 % Current number of unprocessed clauses: 124
% 0.13/5.46 % ...number of literals in the above : 398
% 0.13/5.46 % Current number of archived formulas : 0
% 0.13/5.46 % Current number of archived clauses : 43
% 0.13/5.46 % Clause-clause subsumption calls (NU) : 2137
% 0.13/5.46 % Rec. Clause-clause subsumption calls : 2067
% 0.13/5.46 % Non-unit clause-clause subsumptions : 34
% 0.13/5.46 % Unit Clause-clause subsumption calls : 142
% 0.13/5.46 % Rewrite failures with RHS unbound : 0
% 0.13/5.46 % BW rewrite match attempts : 22
% 0.13/5.46 % BW rewrite match successes : 1
% 0.13/5.46 % Condensation attempts : 0
% 0.13/5.46 % Condensation successes : 0
% 0.13/5.46 % Termbank termtop insertions : 5458
% 0.13/5.46 % Search garbage collected termcells : 326
% 0.13/5.46
% 0.13/5.46 % -------------------------------------------------
% 0.13/5.46 % User time : 0.007 s
% 0.13/5.46 % System time : 0.006 s
% 0.13/5.46 % Total time : 0.013 s
% 0.13/5.46 % Maximum resident set size: 3712 pages
% 0.13/5.46
% 0.13/5.46 % -------------------------------------------------
% 0.13/5.46 % User time : 0.012 s
% 0.13/5.46 % System time : 0.009 s
% 0.13/5.46 % Total time : 0.021 s
% 0.13/5.46 % Maximum resident set size: 4608 pages
% 0.13/5.46 % E exiting
%------------------------------------------------------------------------------