%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO068-3 : 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 : n001.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 0.16s 5.67s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 53 ( 23 unt; 6 nHn; 53 RR)
% Number of literals : 106 ( 0 equ; 50 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 90 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(d4_4,axiom,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_4) ).
cnf(t10_1,axiom,
( ~ colinear(X1,X2,X3)
| colinear(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_1) ).
cnf(v_to_w_equals_v1_to_w1,hypothesis,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
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(uvw_colinear,hypothesis,
colinear(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uvw_colinear) ).
cnf(b11,axiom,
( ~ between(X1,X2,X5)
| ~ equidistant(X1,X5,X3,X6)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| between(X3,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b11) ).
cnf(prove_u1v1w1_colinear,negated_conjecture,
~ colinear(u1,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_u1v1w1_colinear) ).
cnf(c2_2,axiom,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_2) ).
cnf(t1,axiom,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(colinearity1,axiom,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(u_to_w_equals_u1_to_w1,hypothesis,
equidistant(u,w,u1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u1_to_w1) ).
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
cnf(c2_3,axiom,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_3) ).
cnf(c_0_13,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[d4_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,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
c_0_13 ).
cnf(c_0_16,hypothesis,
equidistant(v,w,v1,w1),
v_to_w_equals_v1_to_w1 ).
cnf(c_0_17,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_18,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X2,X1) ),
c_0_14 ).
cnf(c_0_19,hypothesis,
colinear(u,v,w),
uvw_colinear ).
cnf(c_0_20,plain,
( ~ between(X1,X2,X5)
| ~ equidistant(X1,X5,X3,X6)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| between(X3,X4,X6) ),
inference(fof_simplification,[status(thm)],[b11]) ).
cnf(c_0_21,hypothesis,
equidistant(w1,v1,v,w),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
~ colinear(u1,v1,w1),
inference(fof_simplification,[status(thm)],[prove_u1v1w1_colinear]) ).
cnf(c_0_23,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[c2_2]) ).
cnf(c_0_24,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t1]) ).
cnf(c_0_25,plain,
( ~ colinear(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| between(X1,X2,X3) ),
c_0_17 ).
cnf(c_0_26,hypothesis,
colinear(w,v,u),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,plain,
( ~ between(X1,X2,X5)
| ~ equidistant(X1,X5,X3,X6)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| between(X3,X4,X6) ),
c_0_20 ).
cnf(c_0_28,hypothesis,
equidistant(w,v,w1,v1),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_29,negated_conjecture,
~ colinear(u1,v1,w1),
c_0_22 ).
cnf(c_0_30,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
c_0_23 ).
cnf(c_0_31,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity1]) ).
cnf(c_0_32,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
c_0_24 ).
cnf(c_0_33,hypothesis,
( between(w,v,u)
| between(v,u,w)
| between(u,w,v) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,hypothesis,
( ~ equidistant(X2,w,X1,w1)
| ~ equidistant(X2,v,X1,v1)
| ~ between(X2,w,v)
| between(X1,w1,v1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,hypothesis,
equidistant(u,w,u1,w1),
u_to_w_equals_u1_to_w1 ).
cnf(c_0_36,hypothesis,
equidistant(u,v,u1,v1),
u_to_v_equals_u1_to_v1 ).
cnf(c_0_37,negated_conjecture,
~ between(u1,w1,v1),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
c_0_31 ).
cnf(c_0_39,hypothesis,
( between(u,v,w)
| between(u,w,v)
| between(v,u,w) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,hypothesis,
~ between(u,w,v),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_41,hypothesis,
( ~ equidistant(X2,v,X1,v1)
| ~ equidistant(X2,w,X1,w1)
| ~ between(X2,v,w)
| between(X1,v1,w1) ),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_42,negated_conjecture,
~ between(u1,v1,w1),
inference(spm,[status(thm)],[c_0_29,c_0_38]) ).
cnf(c_0_43,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c2_3]) ).
cnf(c_0_44,hypothesis,
( between(v,u,w)
| between(u,v,w) ),
inference(sr,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,hypothesis,
~ between(u,v,w),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_36])]),c_0_42]) ).
cnf(c_0_46,hypothesis,
equidistant(v1,u1,u,v),
inference(spm,[status(thm)],[c_0_15,c_0_36]) ).
cnf(c_0_47,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
c_0_43 ).
cnf(c_0_48,hypothesis,
( ~ equidistant(X2,u,X1,u1)
| ~ equidistant(X2,w,X1,w1)
| ~ between(X2,u,w)
| between(X1,u1,w1) ),
inference(spm,[status(thm)],[c_0_27,c_0_35]) ).
cnf(c_0_49,hypothesis,
between(v,u,w),
inference(sr,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,hypothesis,
equidistant(v,u,v1,u1),
inference(spm,[status(thm)],[c_0_15,c_0_46]) ).
cnf(c_0_51,negated_conjecture,
~ between(v1,u1,w1),
inference(spm,[status(thm)],[c_0_29,c_0_47]) ).
cnf(c_0_52,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_16]),c_0_49]),c_0_50])]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO068-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n001.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 09:36:35 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 0.16/5.67 % Version: 3.5.1
% 0.16/5.67 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.67 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.67 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.67 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.67 % Starting sh5l with 300s (1) cores
% 0.16/5.67 % new_bool_1 with pid 462333 completed with status 0
% 0.16/5.67 % Result found by new_bool_1
% 0.16/5.67 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.67 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.67 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.67 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.67 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/5.67 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/5.67 % Search class: FGUSM-FFMS00-SFFFFFNN
% 0.16/5.67 % partial match(2): FGUSM-FFMS33-SFFFFFNN
% 0.16/5.67 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/5.67 % Starting SubtermCWHack with 31s (1) cores
% 0.16/5.67 % SubtermCWHack with pid 462338 completed with status 0
% 0.16/5.67 % Result found by SubtermCWHack
% 0.16/5.67 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.67 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.67 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.67 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.67 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/5.67 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/5.67 % Search class: FGUSM-FFMS00-SFFFFFNN
% 0.16/5.67 % partial match(2): FGUSM-FFMS33-SFFFFFNN
% 0.16/5.67 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/5.67 % Starting SubtermCWHack with 31s (1) cores
% 0.16/5.67 % Preprocessing time : 0.001 s
% 0.16/5.67
% 0.16/5.67 % Proof found!
% 0.16/5.67 % SZS status Unsatisfiable
% 0.16/5.67 % SZS output start CNFRefutation
% See solution above
% 0.16/5.67 % Parsed axioms : 105
% 0.16/5.67 % Removed by relevancy pruning/SinE : 39
% 0.16/5.67 % Initial clauses : 66
% 0.16/5.67 % Removed in clause preprocessing : 1
% 0.16/5.67 % Initial clauses in saturation : 65
% 0.16/5.67 % Processed clauses : 5522
% 0.16/5.67 % ...of these trivial : 9
% 0.16/5.67 % ...subsumed : 4244
% 0.16/5.67 % ...remaining for further processing : 1269
% 0.16/5.67 % Other redundant clauses eliminated : 2
% 0.16/5.67 % Clauses deleted for lack of memory : 0
% 0.16/5.67 % Backward-subsumed : 33
% 0.16/5.67 % Backward-rewritten : 12
% 0.16/5.67 % Generated clauses : 20360
% 0.16/5.67 % ...of the previous two non-redundant : 17217
% 0.16/5.67 % ...aggressively subsumed : 0
% 0.16/5.67 % Contextual simplify-reflections : 4
% 0.16/5.67 % Paramodulations : 20353
% 0.16/5.67 % Factorizations : 0
% 0.16/5.67 % NegExts : 0
% 0.16/5.67 % Equation resolutions : 2
% 0.16/5.67 % Disequality decompositions : 0
% 0.16/5.67 % Total rewrite steps : 6240
% 0.16/5.67 % ...of those cached : 6102
% 0.16/5.67 % Propositional unsat checks : 0
% 0.16/5.67 % Propositional check models : 0
% 0.16/5.67 % Propositional check unsatisfiable : 0
% 0.16/5.67 % Propositional clauses : 0
% 0.16/5.67 % Propositional clauses after purity: 0
% 0.16/5.67 % Propositional unsat core size : 0
% 0.16/5.67 % Propositional preprocessing time : 0.000
% 0.16/5.67 % Propositional encoding time : 0.000
% 0.16/5.67 % Propositional solver time : 0.000
% 0.16/5.67 % Success case prop preproc time : 0.000
% 0.16/5.67 % Success case prop encoding time : 0.000
% 0.16/5.67 % Success case prop solver time : 0.000
% 0.16/5.67 % Current number of processed clauses : 1217
% 0.16/5.67 % Positive orientable unit clauses : 40
% 0.16/5.67 % Positive unorientable unit clauses: 0
% 0.16/5.67 % Negative unit clauses : 17
% 0.16/5.67 % Non-unit-clauses : 1160
% 0.16/5.67 % Current number of unprocessed clauses: 11727
% 0.16/5.67 % ...number of literals in the above : 48535
% 0.16/5.67 % Current number of archived formulas : 0
% 0.16/5.67 % Current number of archived clauses : 50
% 0.16/5.67 % Clause-clause subsumption calls (NU) : 426690
% 0.16/5.67 % Rec. Clause-clause subsumption calls : 352958
% 0.16/5.67 % Non-unit clause-clause subsumptions : 4251
% 0.16/5.67 % Unit Clause-clause subsumption calls : 3110
% 0.16/5.67 % Rewrite failures with RHS unbound : 0
% 0.16/5.67 % BW rewrite match attempts : 36
% 0.16/5.67 % BW rewrite match successes : 1
% 0.16/5.67 % Condensation attempts : 0
% 0.16/5.67 % Condensation successes : 0
% 0.16/5.67 % Termbank termtop insertions : 295450
% 0.16/5.67 % Search garbage collected termcells : 309
% 0.16/5.67
% 0.16/5.67 % -------------------------------------------------
% 0.16/5.67 % User time : 0.213 s
% 0.16/5.67 % System time : 0.008 s
% 0.16/5.67 % Total time : 0.221 s
% 0.16/5.67 % Maximum resident set size: 3712 pages
% 0.16/5.67
% 0.16/5.67 % -------------------------------------------------
% 0.16/5.67 % User time : 0.216 s
% 0.16/5.67 % System time : 0.013 s
% 0.16/5.67 % Total time : 0.229 s
% 0.16/5.67 % Maximum resident set size: 4864 pages
% 0.16/5.67 % E exiting
%------------------------------------------------------------------------------