%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO051-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:28:56 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 31 ( 17 unt; 6 nHn; 29 RR)
% Number of literals : 62 ( 6 equ; 31 neg)
% Maximal clause size : 5 ( 2 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 : 44 ( 2 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/sandbox/benchmark/theBenchmark.p',b12) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
cnf(b9,axiom,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b9) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
cnf(b5,axiom,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
cnf(t3,axiom,
between(X1,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
cnf(prove_x_between_v_and_w,negated_conjecture,
~ between(v,x,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_between_v_and_w) ).
cnf(w_not_between_v_and_x,hypothesis,
~ between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_not_between_v_and_x) ).
cnf(c_0_9,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_10,hypothesis,
u != v,
inference(fof_simplification,[status(thm)],[u_not_v]) ).
cnf(c_0_11,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X1,X2,X4) ),
inference(fof_simplification,[status(thm)],[b9]) ).
cnf(c_0_12,plain,
( ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| between(X1,X4,X3)
| between(X1,X3,X4)
| X1 = X2 ),
c_0_9 ).
cnf(c_0_13,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_14,hypothesis,
u != v,
c_0_10 ).
cnf(c_0_15,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X1,X2,X4) ),
c_0_11 ).
cnf(c_0_16,hypothesis,
between(u,v,x),
v_between_u_and_x ).
cnf(c_0_17,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[b5]) ).
cnf(c_0_18,hypothesis,
( ~ between(u,v,X1)
| between(u,X1,w)
| between(u,w,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_19,hypothesis,
( ~ between(u,X1,v)
| between(u,X1,x) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,axiom,
between(X1,X2,X2),
t3 ).
cnf(c_0_21,plain,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X3)
| between(X2,X3,X4) ),
c_0_17 ).
cnf(c_0_22,hypothesis,
( between(u,w,x)
| between(u,x,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_23,negated_conjecture,
~ between(v,x,w),
inference(fof_simplification,[status(thm)],[prove_x_between_v_and_w]) ).
cnf(c_0_24,hypothesis,
( ~ between(u,X1,x)
| between(X1,x,w)
| between(u,w,x) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
~ between(v,x,w),
c_0_23 ).
cnf(c_0_26,hypothesis,
between(u,w,x),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_16]),c_0_25]) ).
cnf(c_0_27,hypothesis,
~ between(v,w,x),
inference(fof_simplification,[status(thm)],[w_not_between_v_and_x]) ).
cnf(c_0_28,hypothesis,
( ~ between(u,X1,w)
| between(X1,w,x) ),
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
cnf(c_0_29,hypothesis,
~ between(v,w,x),
c_0_27 ).
cnf(c_0_30,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_13]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO051-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n015.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.41 % WCLimit : 300
% 0.10/0.41 % DateTime : Sun Sep 20 08:48:20 UTC 2026
% 0.10/0.41 % CPUTime :
% 0.10/0.41 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.45 Running first-order theorem proving
% 0.10/0.45 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 % Version: 3.5.1
% 0.18/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 % Starting sh5l with 300s (1) cores
% 0.18/0.49 % new_bool_1 with pid 2990021 completed with status 0
% 0.18/0.49 % Result found by new_bool_1
% 0.18/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49 % Search class: FGUSM-FFMF00-SFFFFFNN
% 0.18/0.49 % partial match(2): FGUSM-FFMF33-SFFFFFNN
% 0.18/0.49 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 % Starting SubtermCWHack with 28s (1) cores
% 0.18/0.49 % SubtermCWHack with pid 2990024 completed with status 0
% 0.18/0.49 % Result found by SubtermCWHack
% 0.18/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49 % Search class: FGUSM-FFMF00-SFFFFFNN
% 0.18/0.49 % partial match(2): FGUSM-FFMF33-SFFFFFNN
% 0.18/0.49 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 % Starting SubtermCWHack with 28s (1) cores
% 0.18/0.49 % Preprocessing time : 0.002 s
% 0.18/0.49
% 0.18/0.49 % Proof found!
% 0.18/0.49 % SZS status Unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation
% See solution above
% 0.18/0.49 % Parsed axioms : 82
% 0.18/0.49 % Removed by relevancy pruning/SinE : 38
% 0.18/0.49 % Initial clauses : 44
% 0.18/0.49 % Removed in clause preprocessing : 1
% 0.18/0.49 % Initial clauses in saturation : 43
% 0.18/0.49 % Processed clauses : 318
% 0.18/0.49 % ...of these trivial : 0
% 0.18/0.49 % ...subsumed : 159
% 0.18/0.49 % ...remaining for further processing : 159
% 0.18/0.49 % Other redundant clauses eliminated : 1
% 0.18/0.49 % Clauses deleted for lack of memory : 0
% 0.18/0.49 % Backward-subsumed : 3
% 0.18/0.49 % Backward-rewritten : 5
% 0.18/0.49 % Generated clauses : 512
% 0.18/0.49 % ...of the previous two non-redundant : 379
% 0.18/0.49 % ...aggressively subsumed : 0
% 0.18/0.49 % Contextual simplify-reflections : 0
% 0.18/0.49 % Paramodulations : 511
% 0.18/0.49 % Factorizations : 0
% 0.18/0.49 % NegExts : 0
% 0.18/0.49 % Equation resolutions : 1
% 0.18/0.49 % Disequality decompositions : 0
% 0.18/0.49 % Total rewrite steps : 186
% 0.18/0.49 % ...of those cached : 155
% 0.18/0.49 % Propositional unsat checks : 0
% 0.18/0.49 % Propositional check models : 0
% 0.18/0.49 % Propositional check unsatisfiable : 0
% 0.18/0.49 % Propositional clauses : 0
% 0.18/0.49 % Propositional clauses after purity: 0
% 0.18/0.49 % Propositional unsat core size : 0
% 0.18/0.49 % Propositional preprocessing time : 0.000
% 0.18/0.49 % Propositional encoding time : 0.000
% 0.18/0.49 % Propositional solver time : 0.000
% 0.18/0.49 % Success case prop preproc time : 0.000
% 0.18/0.49 % Success case prop encoding time : 0.000
% 0.18/0.49 % Success case prop solver time : 0.000
% 0.18/0.49 % Current number of processed clauses : 150
% 0.18/0.49 % Positive orientable unit clauses : 11
% 0.18/0.49 % Positive unorientable unit clauses: 0
% 0.18/0.49 % Negative unit clauses : 8
% 0.18/0.49 % Non-unit-clauses : 131
% 0.18/0.49 % Current number of unprocessed clauses: 102
% 0.18/0.49 % ...number of literals in the above : 415
% 0.18/0.49 % Current number of archived formulas : 0
% 0.18/0.49 % Current number of archived clauses : 8
% 0.18/0.49 % Clause-clause subsumption calls (NU) : 4345
% 0.18/0.49 % Rec. Clause-clause subsumption calls : 3708
% 0.18/0.49 % Non-unit clause-clause subsumptions : 118
% 0.18/0.49 % Unit Clause-clause subsumption calls : 5
% 0.18/0.49 % Rewrite failures with RHS unbound : 0
% 0.18/0.49 % BW rewrite match attempts : 13
% 0.18/0.49 % BW rewrite match successes : 1
% 0.18/0.49 % Condensation attempts : 0
% 0.18/0.49 % Condensation successes : 0
% 0.18/0.49 % Termbank termtop insertions : 8327
% 0.18/0.49 % Search garbage collected termcells : 283
% 0.18/0.49
% 0.18/0.49 % -------------------------------------------------
% 0.18/0.49 % User time : 0.022 s
% 0.18/0.49 % System time : 0.001 s
% 0.18/0.49 % Total time : 0.023 s
% 0.18/0.49 % Maximum resident set size: 3696 pages
% 0.18/0.49
% 0.18/0.49 % -------------------------------------------------
% 0.18/0.49 % User time : 0.023 s
% 0.18/0.49 % System time : 0.006 s
% 0.18/0.49 % Total time : 0.028 s
% 0.18/0.49 % Maximum resident set size: 4864 pages
% 0.18/0.49 % E exiting
%------------------------------------------------------------------------------