%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO007-3 : 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 : n009.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 12:28:45 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 17 unt; 5 nHn; 25 RR)
% Number of literals : 43 ( 6 equ; 19 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 : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
cnf(b13,axiom,
( ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| between(X2,X4,X3)
| between(X2,X3,X4)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b13) ).
cnf(a_between_a_and_e,hypothesis,
between(e,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_e) ).
cnf(a_not_c,hypothesis,
a != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
cnf(a_between_a_and_c,hypothesis,
between(d,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_c) ).
cnf(e_not_between_d_and_a,hypothesis,
~ between(d,e,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_not_between_d_and_a) ).
cnf(prove_d_between_e_and_a,negated_conjecture,
~ between(e,d,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_between_e_and_a) ).
cnf(c_0_7,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t1]) ).
cnf(c_0_8,plain,
( ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| between(X2,X4,X3)
| between(X2,X3,X4)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[b13]) ).
cnf(c_0_9,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
c_0_7 ).
cnf(c_0_10,hypothesis,
between(e,a,c),
a_between_a_and_e ).
cnf(c_0_11,hypothesis,
a != c,
inference(fof_simplification,[status(thm)],[a_not_c]) ).
cnf(c_0_12,plain,
( ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| between(X2,X4,X3)
| between(X2,X3,X4)
| X1 = X2 ),
c_0_8 ).
cnf(c_0_13,hypothesis,
between(c,a,e),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,hypothesis,
a != c,
c_0_11 ).
cnf(c_0_15,hypothesis,
between(d,a,c),
a_between_a_and_c ).
cnf(c_0_16,hypothesis,
( ~ between(c,a,X1)
| between(a,e,X1)
| between(a,X1,e) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_17,hypothesis,
between(c,a,d),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_18,hypothesis,
~ between(d,e,a),
inference(fof_simplification,[status(thm)],[e_not_between_d_and_a]) ).
cnf(c_0_19,hypothesis,
( between(a,d,e)
| between(a,e,d) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,hypothesis,
~ between(d,e,a),
c_0_18 ).
cnf(c_0_21,negated_conjecture,
~ between(e,d,a),
inference(fof_simplification,[status(thm)],[prove_d_between_e_and_a]) ).
cnf(c_0_22,hypothesis,
between(a,d,e),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_19]),c_0_20]) ).
cnf(c_0_23,negated_conjecture,
~ between(e,d,a),
c_0_21 ).
cnf(c_0_24,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO007-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 08:15:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.44 % Version: 3.5.1
% 0.15/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 % Starting sh5l with 300s (1) cores
% 0.15/0.44 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3235296 completed with status 0
% 0.15/0.44 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.44 % No SInE strategy applied
% 0.15/0.44 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.15/0.44 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44 % Starting SubtermCWHack with 151s (1) cores
% 0.15/0.44 % Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 901s (1) cores
% 0.15/0.44 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 151s (1) cores
% 0.15/0.44 % Starting new_bool_3 with 151s (1) cores
% 0.15/0.44 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 146s (1) cores
% 0.15/0.44 % G-E--_207_C18_F1_AE_CS_SP_PI_S0a with pid 3235307 completed with status 0
% 0.15/0.44 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_S0a
% 0.15/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.44 % No SInE strategy applied
% 0.15/0.44 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.15/0.44 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44 % Starting SubtermCWHack with 151s (1) cores
% 0.15/0.44 % Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 901s (1) cores
% 0.15/0.44 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 151s (1) cores
% 0.15/0.44 % Preprocessing time : 0.001 s
% 0.15/0.44
% 0.15/0.44 % Proof found!
% 0.15/0.44 % SZS status Unsatisfiable
% 0.15/0.44 % SZS output start CNFRefutation
% See solution above
% 0.15/0.44 % Parsed axioms : 83
% 0.15/0.44 % Removed by relevancy pruning/SinE : 0
% 0.15/0.44 % Initial clauses : 83
% 0.15/0.44 % Removed in clause preprocessing : 3
% 0.15/0.44 % Initial clauses in saturation : 80
% 0.15/0.44 % Processed clauses : 112
% 0.15/0.44 % ...of these trivial : 4
% 0.15/0.44 % ...subsumed : 8
% 0.15/0.44 % ...remaining for further processing : 100
% 0.15/0.44 % Other redundant clauses eliminated : 5
% 0.15/0.44 % Clauses deleted for lack of memory : 0
% 0.15/0.44 % Backward-subsumed : 0
% 0.15/0.44 % Backward-rewritten : 2
% 0.15/0.44 % Generated clauses : 626
% 0.15/0.44 % ...of the previous two non-redundant : 512
% 0.15/0.44 % ...aggressively subsumed : 0
% 0.15/0.44 % Contextual simplify-reflections : 0
% 0.15/0.44 % Paramodulations : 618
% 0.15/0.44 % Factorizations : 0
% 0.15/0.44 % NegExts : 0
% 0.15/0.44 % Equation resolutions : 8
% 0.15/0.44 % Disequality decompositions : 0
% 0.15/0.44 % Total rewrite steps : 110
% 0.15/0.44 % ...of those cached : 61
% 0.15/0.44 % Propositional unsat checks : 0
% 0.15/0.44 % Propositional check models : 0
% 0.15/0.44 % Propositional check unsatisfiable : 0
% 0.15/0.44 % Propositional clauses : 0
% 0.15/0.44 % Propositional clauses after purity: 0
% 0.15/0.44 % Propositional unsat core size : 0
% 0.15/0.44 % Propositional preprocessing time : 0.000
% 0.15/0.44 % Propositional encoding time : 0.000
% 0.15/0.44 % Propositional solver time : 0.000
% 0.15/0.44 % Success case prop preproc time : 0.000
% 0.15/0.44 % Success case prop encoding time : 0.000
% 0.15/0.44 % Success case prop solver time : 0.000
% 0.15/0.44 % Current number of processed clauses : 96
% 0.15/0.44 % Positive orientable unit clauses : 18
% 0.15/0.44 % Positive unorientable unit clauses: 0
% 0.15/0.44 % Negative unit clauses : 12
% 0.15/0.44 % Non-unit-clauses : 66
% 0.15/0.44 % Current number of unprocessed clauses: 465
% 0.15/0.44 % ...number of literals in the above : 1647
% 0.15/0.44 % Current number of archived formulas : 0
% 0.15/0.44 % Current number of archived clauses : 4
% 0.15/0.44 % Clause-clause subsumption calls (NU) : 1609
% 0.15/0.44 % Rec. Clause-clause subsumption calls : 1160
% 0.15/0.44 % Non-unit clause-clause subsumptions : 6
% 0.15/0.44 % Unit Clause-clause subsumption calls : 84
% 0.15/0.44 % Rewrite failures with RHS unbound : 0
% 0.15/0.44 % BW rewrite match attempts : 81
% 0.15/0.44 % BW rewrite match successes : 2
% 0.15/0.44 % Condensation attempts : 0
% 0.15/0.44 % Condensation successes : 0
% 0.15/0.44 % Termbank termtop insertions : 10554
% 0.15/0.44 % Search garbage collected termcells : 197
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.013 s
% 0.15/0.44 % System time : 0.002 s
% 0.15/0.44 % Total time : 0.015 s
% 0.15/0.44 % Maximum resident set size: 3696 pages
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.053 s
% 0.15/0.44 % System time : 0.013 s
% 0.15/0.44 % Total time : 0.066 s
% 0.15/0.44 % Maximum resident set size: 4864 pages
% 0.15/0.44 % E exiting
%------------------------------------------------------------------------------