%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO040-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 12:26:58 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 9 unt; 0 nHn; 21 RR)
% Number of literals : 41 ( 7 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( ~ between(X1,X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(inner_pasch2,axiom,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X5,inner_pasch(X1,X2,X3,X5,X4),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(inner_pasch1,axiom,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X2,inner_pasch(X1,X2,X3,X5,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(u_between_v_and_w,hypothesis,
between(v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_between_v_and_w) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(prove_u_is_v,negated_conjecture,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_u_is_v) ).
cnf(c_0_6,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_betweeness]) ).
cnf(c_0_7,plain,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X5,inner_pasch(X1,X2,X3,X5,X4),X1) ),
inference(fof_simplification,[status(thm)],[inner_pasch2]) ).
cnf(c_0_8,plain,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X2,inner_pasch(X1,X2,X3,X5,X4),X4) ),
inference(fof_simplification,[status(thm)],[inner_pasch1]) ).
cnf(c_0_9,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
c_0_6 ).
cnf(c_0_10,plain,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X5,inner_pasch(X1,X2,X3,X5,X4),X1) ),
c_0_7 ).
cnf(c_0_11,plain,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X2,inner_pasch(X1,X2,X3,X5,X4),X4) ),
c_0_8 ).
cnf(c_0_12,plain,
( ~ between(X1,X2,X3)
| ~ between(X4,X1,X3)
| inner_pasch(X1,X2,X3,X1,X4) = X1 ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( ~ between(X2,X1,X4)
| ~ between(X3,X2,X4)
| between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,hypothesis,
between(v,u,w),
u_between_v_and_w ).
cnf(c_0_15,hypothesis,
( ~ between(u,X1,w)
| between(X1,u,v) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_17,negated_conjecture,
u != v,
inference(fof_simplification,[status(thm)],[prove_u_is_v]) ).
cnf(c_0_18,hypothesis,
between(v,u,v),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
u != v,
c_0_17 ).
cnf(c_0_20,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO040-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/5.38 % Computer : n015.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sun Sep 20 08:36:55 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.43 Running first-order theorem proving
% 0.13/5.43 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
% 0.13/5.45 % Version: 3.5.1
% 0.13/5.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.45 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.45 % Starting sh5l with 300s (1) cores
% 0.13/5.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2985557 completed with status 0
% 0.13/5.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/5.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/5.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/5.45 % No SInE strategy applied
% 0.13/5.45 % Search class: FGUSS-FFMF33-SFFFFFNN
% 0.13/5.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/5.45 % Starting SubtermCWHack with 136s (1) cores
% 0.13/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/5.45 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S4c with 136s (1) cores
% 0.13/5.45 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.13/5.45 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.13/5.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2985563 completed with status 0
% 0.13/5.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/5.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/5.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/5.45 % No SInE strategy applied
% 0.13/5.45 % Search class: FGUSS-FFMF33-SFFFFFNN
% 0.13/5.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/5.45 % Starting SubtermCWHack with 136s (1) cores
% 0.13/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/5.45 % Preprocessing time : 0.001 s
% 0.13/5.45 % Presaturation interreduction done
% 0.13/5.45
% 0.13/5.45 % Proof found!
% 0.13/5.45 % SZS status Unsatisfiable
% 0.13/5.45 % SZS output start CNFRefutation
% See solution above
% 0.13/5.45 % Parsed axioms : 21
% 0.13/5.45 % Removed by relevancy pruning/SinE : 0
% 0.13/5.45 % Initial clauses : 21
% 0.13/5.45 % Removed in clause preprocessing : 0
% 0.13/5.45 % Initial clauses in saturation : 21
% 0.13/5.45 % Processed clauses : 67
% 0.13/5.45 % ...of these trivial : 0
% 0.13/5.45 % ...subsumed : 1
% 0.13/5.45 % ...remaining for further processing : 66
% 0.13/5.45 % Other redundant clauses eliminated : 0
% 0.13/5.45 % Clauses deleted for lack of memory : 0
% 0.13/5.45 % Backward-subsumed : 0
% 0.13/5.45 % Backward-rewritten : 2
% 0.13/5.45 % Generated clauses : 136
% 0.13/5.45 % ...of the previous two non-redundant : 107
% 0.13/5.45 % ...aggressively subsumed : 0
% 0.13/5.45 % Contextual simplify-reflections : 0
% 0.13/5.45 % Paramodulations : 136
% 0.13/5.45 % Factorizations : 0
% 0.13/5.45 % NegExts : 0
% 0.13/5.45 % Equation resolutions : 0
% 0.13/5.45 % Disequality decompositions : 0
% 0.13/5.45 % Total rewrite steps : 25
% 0.13/5.45 % ...of those cached : 8
% 0.13/5.45 % Propositional unsat checks : 0
% 0.13/5.45 % Propositional check models : 0
% 0.13/5.45 % Propositional check unsatisfiable : 0
% 0.13/5.45 % Propositional clauses : 0
% 0.13/5.45 % Propositional clauses after purity: 0
% 0.13/5.45 % Propositional unsat core size : 0
% 0.13/5.45 % Propositional preprocessing time : 0.000
% 0.13/5.45 % Propositional encoding time : 0.000
% 0.13/5.45 % Propositional solver time : 0.000
% 0.13/5.45 % Success case prop preproc time : 0.000
% 0.13/5.45 % Success case prop encoding time : 0.000
% 0.13/5.45 % Success case prop solver time : 0.000
% 0.13/5.45 % Current number of processed clauses : 43
% 0.13/5.45 % Positive orientable unit clauses : 14
% 0.13/5.45 % Positive unorientable unit clauses: 0
% 0.13/5.45 % Negative unit clauses : 4
% 0.13/5.45 % Non-unit-clauses : 25
% 0.13/5.45 % Current number of unprocessed clauses: 82
% 0.13/5.45 % ...number of literals in the above : 308
% 0.13/5.45 % Current number of archived formulas : 0
% 0.13/5.45 % Current number of archived clauses : 23
% 0.13/5.45 % Clause-clause subsumption calls (NU) : 294
% 0.13/5.45 % Rec. Clause-clause subsumption calls : 152
% 0.13/5.45 % Non-unit clause-clause subsumptions : 1
% 0.13/5.45 % Unit Clause-clause subsumption calls : 28
% 0.13/5.45 % Rewrite failures with RHS unbound : 0
% 0.13/5.45 % BW rewrite match attempts : 132
% 0.13/5.45 % BW rewrite match successes : 2
% 0.13/5.45 % Condensation attempts : 0
% 0.13/5.45 % Condensation successes : 0
% 0.13/5.45 % Termbank termtop insertions : 2674
% 0.13/5.45 % Search garbage collected termcells : 75
% 0.13/5.45
% 0.13/5.45 % -------------------------------------------------
% 0.13/5.45 % User time : 0.009 s
% 0.13/5.45 % System time : 0.002 s
% 0.13/5.45 % Total time : 0.011 s
% 0.13/5.45 % Maximum resident set size: 3604 pages
% 0.13/5.45
% 0.13/5.45 % -------------------------------------------------
% 0.13/5.45 % User time : 0.040 s
% 0.13/5.45 % System time : 0.012 s
% 0.13/5.45 % Total time : 0.052 s
% 0.13/5.45 % Maximum resident set size: 4608 pages
% 0.13/5.45 % E exiting
%------------------------------------------------------------------------------