%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO051-3 : 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 : n013.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 12:27:01 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.55s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 15 unt; 6 nHn; 25 RR)
% Number of literals : 49 ( 6 equ; 24 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b12,axiom,
( ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| between(X1,X4,X3)
| between(X1,X3,X4)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b12) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(b5,axiom,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
cnf(prove_x_between_v_and_w,negated_conjecture,
~ between(v,x,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_between_v_and_w) ).
cnf(w_not_between_v_and_x,hypothesis,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_not_between_v_and_x) ).
cnf(c_0_7,plain,
( ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| between(X1,X4,X3)
| between(X1,X3,X4)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[b12]) ).
cnf(c_0_8,hypothesis,
u != v,
inference(fof_simplification,[status(thm)],[u_not_v]) ).
cnf(c_0_9,plain,
( ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| between(X1,X4,X3)
| between(X1,X3,X4)
| X1 = X2 ),
c_0_7 ).
cnf(c_0_10,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_11,hypothesis,
u != v,
c_0_8 ).
cnf(c_0_12,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[b5]) ).
cnf(c_0_13,hypothesis,
( ~ between(u,v,X1)
| between(u,w,X1)
| between(u,X1,w) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_14,hypothesis,
between(u,v,x),
v_between_u_and_x ).
cnf(c_0_15,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
c_0_12 ).
cnf(c_0_16,hypothesis,
( between(u,x,w)
| between(u,w,x) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
~ between(v,x,w),
inference(fof_simplification,[status(thm)],[prove_x_between_v_and_w]) ).
cnf(c_0_18,hypothesis,
( ~ between(u,X1,x)
| between(X1,x,w)
| between(u,w,x) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
~ between(v,x,w),
c_0_17 ).
cnf(c_0_20,hypothesis,
between(u,w,x),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_14]),c_0_19]) ).
cnf(c_0_21,hypothesis,
~ between(v,w,x),
inference(fof_simplification,[status(thm)],[w_not_between_v_and_x]) ).
cnf(c_0_22,hypothesis,
( ~ between(u,X1,w)
| between(X1,w,x) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_23,hypothesis,
~ between(v,w,x),
c_0_21 ).
cnf(c_0_24,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_10]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO051-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n013.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 20 08:44:37 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.47 Running first-order theorem proving
% 0.10/0.47 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
% 0.20/0.55 % Version: 3.5.1
% 0.20/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.55 % Starting sh5l with 300s (1) cores
% 0.20/0.55 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2518540 completed with status 0
% 0.20/0.55 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.20/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.55 % No SInE strategy applied
% 0.20/0.55 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.20/0.55 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.55 % Starting SubtermCWHack with 151s (1) cores
% 0.20/0.55 % Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 901s (1) cores
% 0.20/0.55 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 151s (1) cores
% 0.20/0.55 % Starting new_bool_3 with 151s (1) cores
% 0.20/0.55 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 146s (1) cores
% 0.20/0.55 % new_bool_3 with pid 2518550 completed with status 0
% 0.20/0.55 % Result found by new_bool_3
% 0.20/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.55 % No SInE strategy applied
% 0.20/0.55 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.20/0.55 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.55 % Starting SubtermCWHack with 151s (1) cores
% 0.20/0.55 % Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 901s (1) cores
% 0.20/0.55 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 151s (1) cores
% 0.20/0.55 % Starting new_bool_3 with 151s (1) cores
% 0.20/0.55 % Preprocessing time : 0.002 s
% 0.20/0.55 % Presaturation interreduction done
% 0.20/0.55
% 0.20/0.55 % Proof found!
% 0.20/0.55 % SZS status Unsatisfiable
% 0.20/0.55 % SZS output start CNFRefutation
% See solution above
% 0.20/0.55 % Parsed axioms : 82
% 0.20/0.55 % Removed by relevancy pruning/SinE : 0
% 0.20/0.55 % Initial clauses : 82
% 0.20/0.55 % Removed in clause preprocessing : 3
% 0.20/0.55 % Initial clauses in saturation : 79
% 0.20/0.55 % Processed clauses : 279
% 0.20/0.55 % ...of these trivial : 5
% 0.20/0.55 % ...subsumed : 51
% 0.20/0.55 % ...remaining for further processing : 223
% 0.20/0.55 % Other redundant clauses eliminated : 4
% 0.20/0.55 % Clauses deleted for lack of memory : 0
% 0.20/0.55 % Backward-subsumed : 1
% 0.20/0.55 % Backward-rewritten : 7
% 0.20/0.55 % Generated clauses : 620
% 0.20/0.55 % ...of the previous two non-redundant : 434
% 0.20/0.55 % ...aggressively subsumed : 0
% 0.20/0.55 % Contextual simplify-reflections : 0
% 0.20/0.55 % Paramodulations : 616
% 0.20/0.55 % Factorizations : 0
% 0.20/0.55 % NegExts : 0
% 0.20/0.55 % Equation resolutions : 4
% 0.20/0.55 % Disequality decompositions : 0
% 0.20/0.55 % Total rewrite steps : 190
% 0.20/0.55 % ...of those cached : 117
% 0.20/0.55 % Propositional unsat checks : 0
% 0.20/0.55 % Propositional check models : 0
% 0.20/0.55 % Propositional check unsatisfiable : 0
% 0.20/0.55 % Propositional clauses : 0
% 0.20/0.55 % Propositional clauses after purity: 0
% 0.20/0.55 % Propositional unsat core size : 0
% 0.20/0.55 % Propositional preprocessing time : 0.000
% 0.20/0.55 % Propositional encoding time : 0.000
% 0.20/0.55 % Propositional solver time : 0.000
% 0.20/0.55 % Success case prop preproc time : 0.000
% 0.20/0.55 % Success case prop encoding time : 0.000
% 0.20/0.55 % Success case prop solver time : 0.000
% 0.20/0.55 % Current number of processed clauses : 142
% 0.20/0.55 % Positive orientable unit clauses : 32
% 0.20/0.55 % Positive unorientable unit clauses: 0
% 0.20/0.55 % Negative unit clauses : 14
% 0.20/0.55 % Non-unit-clauses : 96
% 0.20/0.55 % Current number of unprocessed clauses: 303
% 0.20/0.55 % ...number of literals in the above : 735
% 0.20/0.55 % Current number of archived formulas : 0
% 0.20/0.55 % Current number of archived clauses : 80
% 0.20/0.55 % Clause-clause subsumption calls (NU) : 3748
% 0.20/0.55 % Rec. Clause-clause subsumption calls : 3170
% 0.20/0.55 % Non-unit clause-clause subsumptions : 50
% 0.20/0.55 % Unit Clause-clause subsumption calls : 79
% 0.20/0.55 % Rewrite failures with RHS unbound : 0
% 0.20/0.55 % BW rewrite match attempts : 164
% 0.20/0.55 % BW rewrite match successes : 2
% 0.20/0.55 % Condensation attempts : 0
% 0.20/0.55 % Condensation successes : 0
% 0.20/0.55 % Termbank termtop insertions : 9998
% 0.20/0.55 % Search garbage collected termcells : 196
% 0.20/0.55
% 0.20/0.55 % -------------------------------------------------
% 0.20/0.55 % User time : 0.022 s
% 0.20/0.55 % System time : 0.005 s
% 0.20/0.55 % Total time : 0.028 s
% 0.20/0.55 % Maximum resident set size: 3696 pages
% 0.20/0.55
% 0.20/0.55 % -------------------------------------------------
% 0.20/0.55 % User time : 0.062 s
% 0.20/0.55 % System time : 0.021 s
% 0.20/0.55 % Total time : 0.083 s
% 0.20/0.55 % Maximum resident set size: 4864 pages
% 0.20/0.55 % E exiting
%------------------------------------------------------------------------------