%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO052-3 : 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 : n019.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 0.19s 0.56s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 16 unt; 5 nHn; 26 RR)
% Number of literals : 50 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 39 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(t9,axiom,
( ~ between(X1,X4,X3)
| ~ between(X1,X2,X3)
| between(X1,X4,X2)
| between(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9) ).
cnf(w_between_u_and_x,hypothesis,
between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).
cnf(b8,axiom,
( ~ between(X2,X4,X3)
| ~ between(X1,X2,X3)
| between(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b8) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
cnf(t2,axiom,
between(X1,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).
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(prove_v_between_w_and_x,negated_conjecture,
~ between(w,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_w_and_x) ).
cnf(c_0_8,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t1]) ).
cnf(c_0_9,plain,
( ~ between(X1,X4,X3)
| ~ between(X1,X2,X3)
| between(X1,X4,X2)
| between(X1,X2,X4) ),
inference(fof_simplification,[status(thm)],[t9]) ).
cnf(c_0_10,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
c_0_8 ).
cnf(c_0_11,hypothesis,
between(u,w,x),
w_between_u_and_x ).
cnf(c_0_12,plain,
( ~ between(X2,X4,X3)
| ~ between(X1,X2,X3)
| between(X1,X4,X3) ),
inference(fof_simplification,[status(thm)],[b8]) ).
cnf(c_0_13,hypothesis,
between(u,v,x),
v_between_u_and_x ).
cnf(c_0_14,plain,
( ~ between(X1,X4,X3)
| ~ between(X1,X2,X3)
| between(X1,X4,X2)
| between(X1,X2,X4) ),
c_0_9 ).
cnf(c_0_15,hypothesis,
between(x,w,u),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( ~ between(X2,X4,X3)
| ~ between(X1,X2,X3)
| between(X1,X4,X3) ),
c_0_12 ).
cnf(c_0_17,hypothesis,
between(x,v,u),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_18,hypothesis,
( ~ between(x,X1,u)
| between(x,X1,w)
| between(x,w,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,hypothesis,
( ~ between(X1,x,u)
| between(X1,v,u) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,axiom,
between(X1,X1,X2),
t2 ).
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(x,w,v)
| between(x,v,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,hypothesis,
~ between(v,w,x),
c_0_21 ).
cnf(c_0_24,negated_conjecture,
~ between(w,v,x),
inference(fof_simplification,[status(thm)],[prove_v_between_w_and_x]) ).
cnf(c_0_25,hypothesis,
between(x,v,w),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_22]),c_0_23]) ).
cnf(c_0_26,negated_conjecture,
~ between(w,v,x),
c_0_24 ).
cnf(c_0_27,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO052-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 % Computer : n019.cluster.edu
% 0.14/0.44 % Model : x86_64 x86_64
% 0.14/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.44 % Memory : 8046.5625MB
% 0.14/0.44 % OS : Linux 6.8.0-71-generic
% 0.14/0.44 % CPULimit : 300
% 0.14/0.44 % WCLimit : 300
% 0.14/0.44 % DateTime : Sun Sep 20 08:46:35 UTC 2026
% 0.14/0.44 % CPUTime :
% 0.14/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.49 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
% 0.19/0.56 % Version: 3.5.1
% 0.19/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.56 % Starting sh5l with 300s (1) cores
% 0.19/0.56 % new_bool_1 with pid 4152328 completed with status 0
% 0.19/0.56 % Result found by new_bool_1
% 0.19/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.56 % Search class: FGUSS-FFMF00-SFFFFFNN
% 0.19/0.56 % partial match(2): FGUSS-FFMF33-SFFFFFNN
% 0.19/0.56 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.56 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.56 % SubtermCWHack with pid 4152336 completed with status 0
% 0.19/0.56 % Result found by SubtermCWHack
% 0.19/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.56 % Search class: FGUSS-FFMF00-SFFFFFNN
% 0.19/0.56 % partial match(2): FGUSS-FFMF33-SFFFFFNN
% 0.19/0.56 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.56 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.56 % Preprocessing time : 0.002 s
% 0.19/0.56
% 0.19/0.56 % Proof found!
% 0.19/0.56 % SZS status Unsatisfiable
% 0.19/0.56 % SZS output start CNFRefutation
% See solution above
% 0.37/0.56 % Parsed axioms : 84
% 0.37/0.56 % Removed by relevancy pruning/SinE : 61
% 0.37/0.56 % Initial clauses : 23
% 0.37/0.56 % Removed in clause preprocessing : 1
% 0.37/0.56 % Initial clauses in saturation : 22
% 0.37/0.56 % Processed clauses : 188
% 0.37/0.56 % ...of these trivial : 0
% 0.37/0.56 % ...subsumed : 80
% 0.37/0.56 % ...remaining for further processing : 108
% 0.37/0.56 % Other redundant clauses eliminated : 1
% 0.37/0.56 % Clauses deleted for lack of memory : 0
% 0.37/0.56 % Backward-subsumed : 7
% 0.37/0.56 % Backward-rewritten : 1
% 0.37/0.56 % Generated clauses : 443
% 0.37/0.56 % ...of the previous two non-redundant : 339
% 0.37/0.56 % ...aggressively subsumed : 0
% 0.37/0.56 % Contextual simplify-reflections : 0
% 0.37/0.56 % Paramodulations : 442
% 0.37/0.56 % Factorizations : 0
% 0.37/0.56 % NegExts : 0
% 0.37/0.56 % Equation resolutions : 1
% 0.37/0.56 % Disequality decompositions : 0
% 0.37/0.56 % Total rewrite steps : 135
% 0.37/0.56 % ...of those cached : 111
% 0.37/0.56 % Propositional unsat checks : 0
% 0.37/0.56 % Propositional check models : 0
% 0.37/0.56 % Propositional check unsatisfiable : 0
% 0.37/0.56 % Propositional clauses : 0
% 0.37/0.56 % Propositional clauses after purity: 0
% 0.37/0.56 % Propositional unsat core size : 0
% 0.37/0.56 % Propositional preprocessing time : 0.000
% 0.37/0.56 % Propositional encoding time : 0.000
% 0.37/0.56 % Propositional solver time : 0.000
% 0.37/0.56 % Success case prop preproc time : 0.000
% 0.37/0.56 % Success case prop encoding time : 0.000
% 0.37/0.56 % Success case prop solver time : 0.000
% 0.37/0.56 % Current number of processed clauses : 99
% 0.37/0.56 % Positive orientable unit clauses : 7
% 0.37/0.56 % Positive unorientable unit clauses: 0
% 0.37/0.56 % Negative unit clauses : 3
% 0.37/0.56 % Non-unit-clauses : 89
% 0.37/0.56 % Current number of unprocessed clauses: 156
% 0.37/0.56 % ...number of literals in the above : 657
% 0.37/0.56 % Current number of archived formulas : 0
% 0.37/0.56 % Current number of archived clauses : 8
% 0.37/0.56 % Clause-clause subsumption calls (NU) : 2198
% 0.37/0.56 % Rec. Clause-clause subsumption calls : 2045
% 0.37/0.56 % Non-unit clause-clause subsumptions : 75
% 0.37/0.56 % Unit Clause-clause subsumption calls : 10
% 0.37/0.56 % Rewrite failures with RHS unbound : 0
% 0.37/0.56 % BW rewrite match attempts : 7
% 0.37/0.56 % BW rewrite match successes : 1
% 0.37/0.56 % Condensation attempts : 0
% 0.37/0.56 % Condensation successes : 0
% 0.37/0.56 % Termbank termtop insertions : 6733
% 0.37/0.56 % Search garbage collected termcells : 335
% 0.37/0.56
% 0.37/0.56 % -------------------------------------------------
% 0.37/0.56 % User time : 0.021 s
% 0.37/0.56 % System time : 0.003 s
% 0.37/0.56 % Total time : 0.024 s
% 0.37/0.56 % Maximum resident set size: 3700 pages
% 0.37/0.56
% 0.37/0.56 % -------------------------------------------------
% 0.37/0.56 % User time : 0.024 s
% 0.37/0.56 % System time : 0.008 s
% 0.37/0.56 % Total time : 0.032 s
% 0.37/0.56 % Maximum resident set size: 4864 pages
% 0.37/0.56 % E exiting
%------------------------------------------------------------------------------