%------------------------------------------------------------------------------
% File : E-SAT---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 : 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 12:28:46 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.55s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 36 ( 7 unt; 5 nHn; 36 RR)
% Number of literals : 81 ( 0 equ; 42 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(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_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(colinearity2,axiom,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
cnf(c2_1,axiom,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_1) ).
cnf(c2_3,axiom,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_3) ).
cnf(abc_colinear,hypothesis,
colinear(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abc_colinear) ).
cnf(colinearity3,axiom,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(t1,axiom,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
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,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_12,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[c2_2]) ).
cnf(c_0_13,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity1]) ).
cnf(c_0_14,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[colinearity2]) ).
cnf(c_0_15,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[c2_1]) ).
cnf(c_0_16,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c2_3]) ).
cnf(c_0_17,plain,
( ~ colinear(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| between(X1,X2,X3) ),
c_0_10 ).
cnf(c_0_18,hypothesis,
colinear(a,b,c),
abc_colinear ).
cnf(c_0_19,negated_conjecture,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
c_0_11 ).
cnf(c_0_20,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
c_0_12 ).
cnf(c_0_21,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
c_0_13 ).
cnf(c_0_22,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
c_0_14 ).
cnf(c_0_23,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
c_0_15 ).
cnf(c_0_24,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
c_0_16 ).
cnf(c_0_25,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[colinearity3]) ).
cnf(c_0_26,hypothesis,
( between(a,b,c)
| between(b,c,a)
| between(c,a,b) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_27,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_19,c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
c_0_25 ).
cnf(c_0_29,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t1]) ).
cnf(c_0_30,hypothesis,
( between(b,c,a)
| between(a,b,c) ),
inference(sr,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
~ between(b,c,a),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_24]),c_0_28]),c_0_21]),c_0_20]),c_0_23]) ).
cnf(c_0_32,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
c_0_29 ).
cnf(c_0_33,hypothesis,
between(a,b,c),
inference(sr,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
~ between(c,b,a),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_21]),c_0_20]),c_0_24]),c_0_28]),c_0_22]) ).
cnf(c_0_35,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO010-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 08:12:10 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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
% 0.26/0.55 % Version: 3.5.1
% 0.26/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.55 % Starting sh5l with 300s (1) cores
% 0.26/0.55 % new_bool_3 with pid 3860405 completed with status 0
% 0.26/0.55 % Result found by new_bool_3
% 0.26/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.26/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.26/0.55 % Search class: FGHSS-FFMF00-SFFFFFNN
% 0.26/0.55 % partial match(2): FGHSS-FFMF32-SFFFFFNN
% 0.26/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.26/0.55 % SubtermCWHack with pid 3860408 completed with status 0
% 0.26/0.55 % Result found by SubtermCWHack
% 0.26/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.26/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.26/0.55 % Search class: FGHSS-FFMF00-SFFFFFNN
% 0.26/0.55 % partial match(2): FGHSS-FFMF32-SFFFFFNN
% 0.26/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.26/0.55 % Preprocessing time : 0.001 s
% 0.26/0.55
% 0.26/0.55 % Proof found!
% 0.26/0.55 % SZS status Unsatisfiable
% 0.26/0.55 % SZS output start CNFRefutation
% See solution above
% 0.26/0.56 % Parsed axioms : 92
% 0.26/0.56 % Removed by relevancy pruning/SinE : 62
% 0.26/0.56 % Initial clauses : 30
% 0.26/0.56 % Removed in clause preprocessing : 1
% 0.26/0.56 % Initial clauses in saturation : 29
% 0.26/0.56 % Processed clauses : 199
% 0.26/0.56 % ...of these trivial : 0
% 0.26/0.56 % ...subsumed : 97
% 0.26/0.56 % ...remaining for further processing : 102
% 0.26/0.56 % Other redundant clauses eliminated : 1
% 0.26/0.56 % Clauses deleted for lack of memory : 0
% 0.26/0.56 % Backward-subsumed : 52
% 0.26/0.56 % Backward-rewritten : 12
% 0.26/0.56 % Generated clauses : 391
% 0.26/0.56 % ...of the previous two non-redundant : 271
% 0.26/0.56 % ...aggressively subsumed : 0
% 0.26/0.56 % Contextual simplify-reflections : 15
% 0.26/0.56 % Paramodulations : 387
% 0.26/0.56 % Factorizations : 0
% 0.26/0.56 % NegExts : 0
% 0.26/0.56 % Equation resolutions : 1
% 0.26/0.56 % Disequality decompositions : 0
% 0.26/0.56 % Total rewrite steps : 164
% 0.26/0.56 % ...of those cached : 143
% 0.26/0.56 % Propositional unsat checks : 0
% 0.26/0.56 % Propositional check models : 0
% 0.26/0.56 % Propositional check unsatisfiable : 0
% 0.26/0.56 % Propositional clauses : 0
% 0.26/0.56 % Propositional clauses after purity: 0
% 0.26/0.56 % Propositional unsat core size : 0
% 0.26/0.56 % Propositional preprocessing time : 0.000
% 0.26/0.56 % Propositional encoding time : 0.000
% 0.26/0.56 % Propositional solver time : 0.000
% 0.26/0.56 % Success case prop preproc time : 0.000
% 0.26/0.56 % Success case prop encoding time : 0.000
% 0.26/0.56 % Success case prop solver time : 0.000
% 0.26/0.56 % Current number of processed clauses : 34
% 0.26/0.56 % Positive orientable unit clauses : 4
% 0.26/0.56 % Positive unorientable unit clauses: 0
% 0.26/0.56 % Negative unit clauses : 3
% 0.26/0.56 % Non-unit-clauses : 27
% 0.26/0.56 % Current number of unprocessed clauses: 50
% 0.26/0.56 % ...number of literals in the above : 216
% 0.26/0.56 % Current number of archived formulas : 0
% 0.26/0.56 % Current number of archived clauses : 67
% 0.26/0.56 % Clause-clause subsumption calls (NU) : 6229
% 0.26/0.56 % Rec. Clause-clause subsumption calls : 3016
% 0.26/0.56 % Non-unit clause-clause subsumptions : 164
% 0.26/0.56 % Unit Clause-clause subsumption calls : 32
% 0.26/0.56 % Rewrite failures with RHS unbound : 0
% 0.26/0.56 % BW rewrite match attempts : 3
% 0.26/0.56 % BW rewrite match successes : 1
% 0.26/0.56 % Condensation attempts : 0
% 0.26/0.56 % Condensation successes : 0
% 0.26/0.56 % Termbank termtop insertions : 9476
% 0.26/0.56 % Search garbage collected termcells : 360
% 0.26/0.56
% 0.26/0.56 % -------------------------------------------------
% 0.26/0.56 % User time : 0.018 s
% 0.26/0.56 % System time : 0.003 s
% 0.26/0.56 % Total time : 0.020 s
% 0.26/0.56 % Maximum resident set size: 3652 pages
% 0.26/0.56
% 0.26/0.56 % -------------------------------------------------
% 0.26/0.56 % User time : 0.024 s
% 0.26/0.56 % System time : 0.008 s
% 0.26/0.56 % Total time : 0.032 s
% 0.26/0.56 % Maximum resident set size: 4864 pages
% 0.26/0.56 % E exiting
%------------------------------------------------------------------------------