%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO010-3 : 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 : n026.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 12:26:51 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 44 ( 8 unt; 9 nHn; 44 RR)
% Number of literals : 102 ( 0 equ; 51 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 : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(colinearity4,axiom,
( ~ colinear(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(t1,axiom,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(abc_colinear,hypothesis,
colinear(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abc_colinear) ).
cnf(prove_colinear_in_all_orders,negated_conjecture,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).
cnf(c2_1,axiom,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_1) ).
cnf(colinearity2,axiom,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
cnf(colinearity3,axiom,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(c2_3,axiom,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_3) ).
cnf(c2_2,axiom,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_2) ).
cnf(colinearity1,axiom,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(c_0_10,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_11,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t1]) ).
cnf(c_0_12,plain,
( ~ colinear(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| between(X1,X2,X3) ),
c_0_10 ).
cnf(c_0_13,hypothesis,
colinear(a,b,c),
abc_colinear ).
cnf(c_0_14,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
c_0_11 ).
cnf(c_0_15,hypothesis,
( between(a,b,c)
| between(b,c,a)
| between(c,a,b) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,hypothesis,
( between(b,a,c)
| between(b,c,a)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
inference(fof_simplification,[status(thm)],[prove_colinear_in_all_orders]) ).
cnf(c_0_18,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[c2_1]) ).
cnf(c_0_19,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[colinearity2]) ).
cnf(c_0_20,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[colinearity3]) ).
cnf(c_0_21,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c2_3]) ).
cnf(c_0_22,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[c2_2]) ).
cnf(c_0_23,hypothesis,
( between(a,c,b)
| between(a,b,c)
| between(b,a,c) ),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
c_0_17 ).
cnf(c_0_25,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
c_0_18 ).
cnf(c_0_26,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
c_0_19 ).
cnf(c_0_27,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
c_0_20 ).
cnf(c_0_28,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
c_0_21 ).
cnf(c_0_29,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
c_0_22 ).
cnf(c_0_30,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity1]) ).
cnf(c_0_31,hypothesis,
( between(c,a,b)
| between(a,b,c)
| between(a,c,b) ),
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_32,negated_conjecture,
~ between(a,b,c),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_33,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
c_0_30 ).
cnf(c_0_34,hypothesis,
( between(a,c,b)
| between(c,a,b) ),
inference(sr,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,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_24,c_0_29]),c_0_33]),c_0_26]),c_0_25]),c_0_28]) ).
cnf(c_0_36,hypothesis,
between(a,c,b),
inference(sr,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,hypothesis,
( between(c,a,b)
| between(b,c,a) ),
inference(sr,[status(thm)],[c_0_15,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_27]),c_0_36])]) ).
cnf(c_0_39,hypothesis,
between(b,c,a),
inference(sr,[status(thm)],[c_0_37,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
( ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_27]),c_0_39])]) ).
cnf(c_0_41,negated_conjecture,
( ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_25]),c_0_36])]) ).
cnf(c_0_42,negated_conjecture,
~ colinear(a,c,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_29]),c_0_39])]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_25]),c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO010-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n026.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 20 08:19:36 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.19/0.48 % Version: 3.5.1
% 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_1 with pid 3812561 completed with status 0
% 0.19/0.48 % Result found by new_bool_1
% 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 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 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 SubtermCWHack with 31s (1) cores
% 0.19/0.48 % SubtermCWHack with pid 3812564 completed with status 0
% 0.19/0.48 % Result found by SubtermCWHack
% 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 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 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 SubtermCWHack with 31s (1) cores
% 0.19/0.48 % Preprocessing time : 0.001 s
% 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
% 0.19/0.49 % Parsed axioms : 92
% 0.19/0.49 % Removed by relevancy pruning/SinE : 62
% 0.19/0.49 % Initial clauses : 30
% 0.19/0.49 % Removed in clause preprocessing : 1
% 0.19/0.49 % Initial clauses in saturation : 29
% 0.19/0.49 % Processed clauses : 348
% 0.19/0.49 % ...of these trivial : 1
% 0.19/0.49 % ...subsumed : 172
% 0.19/0.49 % ...remaining for further processing : 175
% 0.19/0.49 % Other redundant clauses eliminated : 1
% 0.19/0.49 % Clauses deleted for lack of memory : 0
% 0.19/0.49 % Backward-subsumed : 42
% 0.19/0.49 % Backward-rewritten : 57
% 0.19/0.49 % Generated clauses : 922
% 0.19/0.49 % ...of the previous two non-redundant : 652
% 0.19/0.49 % ...aggressively subsumed : 0
% 0.19/0.49 % Contextual simplify-reflections : 15
% 0.19/0.49 % Paramodulations : 915
% 0.19/0.49 % Factorizations : 0
% 0.19/0.49 % NegExts : 0
% 0.19/0.49 % Equation resolutions : 1
% 0.19/0.49 % Disequality decompositions : 0
% 0.19/0.49 % Total rewrite steps : 451
% 0.19/0.49 % ...of those cached : 426
% 0.19/0.49 % Propositional unsat checks : 0
% 0.19/0.49 % Propositional check models : 0
% 0.19/0.49 % Propositional check unsatisfiable : 0
% 0.19/0.49 % Propositional clauses : 0
% 0.19/0.49 % Propositional clauses after purity: 0
% 0.19/0.49 % Propositional unsat core size : 0
% 0.19/0.49 % Propositional preprocessing time : 0.000
% 0.19/0.49 % Propositional encoding time : 0.000
% 0.19/0.49 % Propositional solver time : 0.000
% 0.19/0.49 % Success case prop preproc time : 0.000
% 0.19/0.49 % Success case prop encoding time : 0.000
% 0.19/0.49 % Success case prop solver time : 0.000
% 0.19/0.49 % Current number of processed clauses : 69
% 0.19/0.49 % Positive orientable unit clauses : 5
% 0.19/0.49 % Positive unorientable unit clauses: 0
% 0.19/0.49 % Negative unit clauses : 6
% 0.19/0.49 % Non-unit-clauses : 58
% 0.19/0.49 % Current number of unprocessed clauses: 130
% 0.19/0.49 % ...number of literals in the above : 536
% 0.19/0.49 % Current number of archived formulas : 0
% 0.19/0.49 % Current number of archived clauses : 105
% 0.19/0.49 % Clause-clause subsumption calls (NU) : 9023
% 0.19/0.49 % Rec. Clause-clause subsumption calls : 4763
% 0.19/0.49 % Non-unit clause-clause subsumptions : 202
% 0.19/0.49 % Unit Clause-clause subsumption calls : 121
% 0.19/0.49 % Rewrite failures with RHS unbound : 0
% 0.19/0.49 % BW rewrite match attempts : 5
% 0.19/0.49 % BW rewrite match successes : 2
% 0.19/0.49 % Condensation attempts : 0
% 0.19/0.49 % Condensation successes : 0
% 0.19/0.49 % Termbank termtop insertions : 17724
% 0.19/0.49 % Search garbage collected termcells : 360
% 0.19/0.49
% 0.19/0.49 % -------------------------------------------------
% 0.19/0.49 % User time : 0.026 s
% 0.19/0.49 % System time : 0.003 s
% 0.19/0.49 % Total time : 0.028 s
% 0.19/0.49 % Maximum resident set size: 3704 pages
% 0.19/0.49
% 0.19/0.49 % -------------------------------------------------
% 0.19/0.49 % User time : 0.030 s
% 0.19/0.49 % System time : 0.006 s
% 0.19/0.49 % Total time : 0.036 s
% 0.19/0.49 % Maximum resident set size: 4608 pages
% 0.19/0.49 % E exiting
%------------------------------------------------------------------------------