%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO013-3 : 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 : n017.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 12:26:52 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 39 ( 23 unt; 5 nHn; 39 RR)
% Number of literals : 62 ( 9 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t10_1,axiom,
( ~ colinear(X1,X2,X3)
| colinear(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_1) ).
cnf(c5_1,axiom,
( ~ colinear(X4,X2,X3)
| ~ colinear(X1,X2,X3)
| X3 = X2
| colinear(X4,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5_1) ).
cnf(abd3_colinear,hypothesis,
colinear(a,b,d3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abd3_colinear) ).
cnf(a_not_b,hypothesis,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
cnf(abd2_colinear,hypothesis,
colinear(a,b,d2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abd2_colinear) ).
cnf(t10_2,axiom,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_2) ).
cnf(and1_colinear,hypothesis,
colinear(a,b,d1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and1_colinear) ).
cnf(t10_5,axiom,
( ~ colinear(X1,X2,X3)
| colinear(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_5) ).
cnf(prove_d1d2d3_colinear,negated_conjecture,
~ colinear(d1,d2,d3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d1d2d3_colinear) ).
cnf(c_0_9,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t10_1]) ).
cnf(c_0_10,plain,
( ~ colinear(X4,X2,X3)
| ~ colinear(X1,X2,X3)
| X3 = X2
| colinear(X4,X1,X3) ),
inference(fof_simplification,[status(thm)],[c5_1]) ).
cnf(c_0_11,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X2,X1) ),
c_0_9 ).
cnf(c_0_12,hypothesis,
colinear(a,b,d3),
abd3_colinear ).
cnf(c_0_13,hypothesis,
a != b,
inference(fof_simplification,[status(thm)],[a_not_b]) ).
cnf(c_0_14,plain,
( ~ colinear(X4,X2,X3)
| ~ colinear(X1,X2,X3)
| X3 = X2
| colinear(X4,X1,X3) ),
c_0_10 ).
cnf(c_0_15,hypothesis,
colinear(d3,b,a),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,hypothesis,
a != b,
c_0_13 ).
cnf(c_0_17,hypothesis,
colinear(a,b,d2),
abd2_colinear ).
cnf(c_0_18,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[t10_2]) ).
cnf(c_0_19,hypothesis,
( ~ colinear(X1,b,a)
| colinear(d3,X1,a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_20,hypothesis,
colinear(d2,b,a),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_21,hypothesis,
colinear(a,b,d1),
and1_colinear ).
cnf(c_0_22,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
c_0_18 ).
cnf(c_0_23,hypothesis,
colinear(d3,d2,a),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,hypothesis,
colinear(d1,b,a),
inference(spm,[status(thm)],[c_0_11,c_0_21]) ).
cnf(c_0_25,hypothesis,
colinear(d2,a,d3),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,hypothesis,
colinear(d3,d1,a),
inference(spm,[status(thm)],[c_0_19,c_0_24]) ).
cnf(c_0_27,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[t10_5]) ).
cnf(c_0_28,hypothesis,
( ~ colinear(X1,a,d3)
| colinear(d2,X1,d3)
| d3 = a ),
inference(spm,[status(thm)],[c_0_14,c_0_25]) ).
cnf(c_0_29,hypothesis,
colinear(d1,a,d3),
inference(spm,[status(thm)],[c_0_22,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
~ colinear(d1,d2,d3),
inference(fof_simplification,[status(thm)],[prove_d1d2d3_colinear]) ).
cnf(c_0_31,hypothesis,
( ~ colinear(X1,b,a)
| colinear(d2,X1,a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_20]),c_0_16]) ).
cnf(c_0_32,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X1,X3) ),
c_0_27 ).
cnf(c_0_33,hypothesis,
( colinear(d2,d1,d3)
| d3 = a ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
~ colinear(d1,d2,d3),
c_0_30 ).
cnf(c_0_35,hypothesis,
colinear(d2,d1,a),
inference(spm,[status(thm)],[c_0_31,c_0_24]) ).
cnf(c_0_36,hypothesis,
d3 = a,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_37,hypothesis,
colinear(d1,d2,a),
inference(spm,[status(thm)],[c_0_32,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_36]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO013-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n017.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 08:11:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.18/0.47 % Version: 3.5.1
% 0.18/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 % Starting sh5l with 300s (1) cores
% 0.18/0.47 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3858212 completed with status 0
% 0.18/0.47 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.18/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.47 % No SInE strategy applied
% 0.18/0.47 % Search class: FGUSM-FFMS33-SFFFFFNN
% 0.18/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.18/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.18/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.18/0.47 % Starting new_bool_1 with 136s (1) cores
% 0.18/0.47 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 3858221 completed with status 0
% 0.18/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.18/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.47 % No SInE strategy applied
% 0.18/0.47 % Search class: FGUSM-FFMS33-SFFFFFNN
% 0.18/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.18/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.18/0.47 % Preprocessing time : 0.002 s
% 0.18/0.47 % Presaturation interreduction done
% 0.18/0.47
% 0.18/0.47 % Proof found!
% 0.18/0.47 % SZS status Unsatisfiable
% 0.18/0.47 % SZS output start CNFRefutation
% See solution above
% 0.18/0.48 % Parsed axioms : 110
% 0.18/0.48 % Removed by relevancy pruning/SinE : 0
% 0.18/0.48 % Initial clauses : 110
% 0.18/0.48 % Removed in clause preprocessing : 3
% 0.18/0.48 % Initial clauses in saturation : 107
% 0.18/0.48 % Processed clauses : 375
% 0.18/0.48 % ...of these trivial : 95
% 0.18/0.48 % ...subsumed : 4
% 0.18/0.48 % ...remaining for further processing : 276
% 0.18/0.48 % Other redundant clauses eliminated : 5
% 0.18/0.48 % Clauses deleted for lack of memory : 0
% 0.18/0.48 % Backward-subsumed : 0
% 0.18/0.48 % Backward-rewritten : 61
% 0.18/0.48 % Generated clauses : 934
% 0.18/0.48 % ...of the previous two non-redundant : 526
% 0.18/0.48 % ...aggressively subsumed : 0
% 0.18/0.48 % Contextual simplify-reflections : 0
% 0.18/0.48 % Paramodulations : 929
% 0.18/0.48 % Factorizations : 0
% 0.18/0.48 % NegExts : 0
% 0.18/0.48 % Equation resolutions : 5
% 0.18/0.48 % Disequality decompositions : 0
% 0.18/0.48 % Total rewrite steps : 645
% 0.18/0.48 % ...of those cached : 531
% 0.18/0.48 % Propositional unsat checks : 0
% 0.18/0.48 % Propositional check models : 0
% 0.18/0.48 % Propositional check unsatisfiable : 0
% 0.18/0.48 % Propositional clauses : 0
% 0.18/0.48 % Propositional clauses after purity: 0
% 0.18/0.48 % Propositional unsat core size : 0
% 0.18/0.48 % Propositional preprocessing time : 0.000
% 0.18/0.48 % Propositional encoding time : 0.000
% 0.18/0.48 % Propositional solver time : 0.000
% 0.18/0.48 % Success case prop preproc time : 0.000
% 0.18/0.48 % Success case prop encoding time : 0.000
% 0.18/0.48 % Success case prop solver time : 0.000
% 0.18/0.48 % Current number of processed clauses : 114
% 0.18/0.48 % Positive orientable unit clauses : 39
% 0.18/0.48 % Positive unorientable unit clauses: 0
% 0.18/0.48 % Negative unit clauses : 9
% 0.18/0.48 % Non-unit-clauses : 66
% 0.18/0.48 % Current number of unprocessed clauses: 342
% 0.18/0.48 % ...number of literals in the above : 973
% 0.18/0.48 % Current number of archived formulas : 0
% 0.18/0.48 % Current number of archived clauses : 160
% 0.18/0.48 % Clause-clause subsumption calls (NU) : 5222
% 0.18/0.48 % Rec. Clause-clause subsumption calls : 4267
% 0.18/0.48 % Non-unit clause-clause subsumptions : 4
% 0.18/0.48 % Unit Clause-clause subsumption calls : 417
% 0.18/0.48 % Rewrite failures with RHS unbound : 0
% 0.18/0.48 % BW rewrite match attempts : 205
% 0.18/0.48 % BW rewrite match successes : 2
% 0.18/0.48 % Condensation attempts : 0
% 0.18/0.48 % Condensation successes : 0
% 0.18/0.48 % Termbank termtop insertions : 12897
% 0.18/0.48 % Search garbage collected termcells : 244
% 0.18/0.48
% 0.18/0.48 % -------------------------------------------------
% 0.18/0.48 % User time : 0.025 s
% 0.18/0.48 % System time : 0.004 s
% 0.18/0.48 % Total time : 0.030 s
% 0.18/0.48 % Maximum resident set size: 3464 pages
% 0.18/0.48
% 0.18/0.48 % -------------------------------------------------
% 0.18/0.48 % User time : 0.111 s
% 0.18/0.48 % System time : 0.019 s
% 0.18/0.48 % Total time : 0.130 s
% 0.18/0.48 % Maximum resident set size: 4608 pages
% 0.18/0.48 % E exiting
%------------------------------------------------------------------------------