%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO042-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:26:59 PM UTC 2026
% Result : Unsatisfiable 0.12s 10.48s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 9 unt; 0 nHn; 24 RR)
% Number of literals : 47 ( 6 equ; 26 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 : 5 ( 5 usr; 4 con; 0-5 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( ~ between(X1,X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(t1,axiom,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
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/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
cnf(w_between_v_and_x,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
cnf(prove_v_between_u_and_w,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).
cnf(c_0_7,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_betweeness]) ).
cnf(c_0_8,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_9,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
c_0_7 ).
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_8 ).
cnf(c_0_11,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t1]) ).
cnf(c_0_12,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_13,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_14,hypothesis,
between(u,v,x),
v_between_u_and_x ).
cnf(c_0_15,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
c_0_11 ).
cnf(c_0_16,plain,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X2,inner_pasch(X1,X2,X3,X5,X4),X4) ),
c_0_12 ).
cnf(c_0_17,hypothesis,
( ~ between(v,X1,x)
| inner_pasch(v,X1,x,v,u) = v ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,hypothesis,
between(v,w,x),
w_between_v_and_x ).
cnf(c_0_19,negated_conjecture,
~ between(u,v,w),
inference(fof_simplification,[status(thm)],[prove_v_between_u_and_w]) ).
cnf(c_0_20,plain,
( ~ between(X2,X3,X4)
| ~ between(X1,X5,X4)
| between(X1,inner_pasch(X2,X3,X4,X5,X1),X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,hypothesis,
inner_pasch(v,w,x,v,u) = v,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ between(u,v,w),
c_0_19 ).
cnf(c_0_23,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14]),c_0_18])]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO042-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/10.40 % Computer : n005.cluster.edu
% 0.12/10.40 % Model : x86_64 x86_64
% 0.12/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.40 % Memory : 8046.5625MB
% 0.12/10.40 % OS : Linux 6.8.0-71-generic
% 0.12/10.40 % CPULimit : 300
% 0.12/10.40 % WCLimit : 300
% 0.12/10.40 % DateTime : Sun Sep 20 08:36:15 UTC 2026
% 0.12/10.40 % CPUTime :
% 0.12/10.40 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/10.45 Running first-order theorem proving
% 0.12/10.45 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
% 0.12/10.48 % Version: 3.5.1
% 0.12/10.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/10.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/10.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/10.48 % Starting new_bool_3 with 300s (1) cores
% 0.12/10.48 % Starting new_bool_1 with 300s (1) cores
% 0.12/10.48 % Starting sh5l with 300s (1) cores
% 0.12/10.48 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 804751 completed with status 0
% 0.12/10.48 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/10.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/10.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/10.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/10.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/10.48 % No SInE strategy applied
% 0.12/10.48 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.12/10.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/10.48 % Starting SubtermCWHack with 136s (1) cores
% 0.12/10.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/10.48 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.12/10.48 % Starting new_bool_3 with 136s (1) cores
% 0.12/10.48 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.12/10.48 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with pid 804759 completed with status 0
% 0.12/10.48 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I
% 0.12/10.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/10.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/10.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/10.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/10.48 % No SInE strategy applied
% 0.12/10.48 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.12/10.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/10.48 % Starting SubtermCWHack with 136s (1) cores
% 0.12/10.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/10.48 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.12/10.48 % Starting new_bool_3 with 136s (1) cores
% 0.12/10.48 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.12/10.48 % Preprocessing time : 0.001 s
% 0.12/10.48
% 0.12/10.48 % Proof found!
% 0.12/10.48 % SZS status Unsatisfiable
% 0.12/10.48 % SZS output start CNFRefutation
% See solution above
% 0.12/10.48 % Parsed axioms : 54
% 0.12/10.48 % Removed by relevancy pruning/SinE : 0
% 0.12/10.48 % Initial clauses : 54
% 0.12/10.48 % Removed in clause preprocessing : 1
% 0.12/10.48 % Initial clauses in saturation : 53
% 0.12/10.48 % Processed clauses : 326
% 0.12/10.48 % ...of these trivial : 17
% 0.12/10.48 % ...subsumed : 128
% 0.12/10.48 % ...remaining for further processing : 181
% 0.12/10.48 % Other redundant clauses eliminated : 26
% 0.12/10.48 % Clauses deleted for lack of memory : 0
% 0.12/10.48 % Backward-subsumed : 11
% 0.12/10.48 % Backward-rewritten : 0
% 0.12/10.48 % Generated clauses : 1261
% 0.12/10.48 % ...of the previous two non-redundant : 917
% 0.12/10.48 % ...aggressively subsumed : 0
% 0.12/10.48 % Contextual simplify-reflections : 1
% 0.12/10.48 % Paramodulations : 1217
% 0.12/10.48 % Factorizations : 0
% 0.12/10.48 % NegExts : 0
% 0.12/10.48 % Equation resolutions : 43
% 0.12/10.48 % Disequality decompositions : 0
% 0.12/10.48 % Total rewrite steps : 452
% 0.12/10.48 % ...of those cached : 332
% 0.12/10.48 % Propositional unsat checks : 0
% 0.12/10.48 % Propositional check models : 0
% 0.12/10.48 % Propositional check unsatisfiable : 0
% 0.12/10.48 % Propositional clauses : 0
% 0.12/10.48 % Propositional clauses after purity: 0
% 0.12/10.48 % Propositional unsat core size : 0
% 0.12/10.48 % Propositional preprocessing time : 0.000
% 0.12/10.48 % Propositional encoding time : 0.000
% 0.12/10.48 % Propositional solver time : 0.000
% 0.12/10.48 % Success case prop preproc time : 0.000
% 0.12/10.48 % Success case prop encoding time : 0.000
% 0.12/10.48 % Success case prop solver time : 0.000
% 0.12/10.48 % Current number of processed clauses : 167
% 0.12/10.48 % Positive orientable unit clauses : 36
% 0.12/10.48 % Positive unorientable unit clauses: 0
% 0.12/10.48 % Negative unit clauses : 40
% 0.12/10.48 % Non-unit-clauses : 91
% 0.12/10.48 % Current number of unprocessed clauses: 599
% 0.12/10.48 % ...number of literals in the above : 1906
% 0.12/10.48 % Current number of archived formulas : 0
% 0.12/10.48 % Current number of archived clauses : 13
% 0.12/10.48 % Clause-clause subsumption calls (NU) : 5190
% 0.12/10.48 % Rec. Clause-clause subsumption calls : 3132
% 0.12/10.48 % Non-unit clause-clause subsumptions : 54
% 0.12/10.48 % Unit Clause-clause subsumption calls : 1156
% 0.12/10.48 % Rewrite failures with RHS unbound : 0
% 0.12/10.48 % BW rewrite match attempts : 197
% 0.12/10.48 % BW rewrite match successes : 0
% 0.12/10.48 % Condensation attempts : 0
% 0.12/10.48 % Condensation successes : 0
% 0.12/10.48 % Termbank termtop insertions : 11861
% 0.12/10.48 % Search garbage collected termcells : 119
% 0.12/10.48
% 0.12/10.48 % -------------------------------------------------
% 0.12/10.48 % User time : 0.017 s
% 0.12/10.48 % System time : 0.004 s
% 0.12/10.48 % Total time : 0.021 s
% 0.12/10.48 % Maximum resident set size: 3620 pages
% 0.12/10.48
% 0.12/10.48 % -------------------------------------------------
% 0.12/10.48 % User time : 0.093 s
% 0.12/10.48 % System time : 0.015 s
% 0.12/10.48 % Total time : 0.108 s
% 0.12/10.48 % Maximum resident set size: 4608 pages
% 0.12/10.48 % E exiting
%------------------------------------------------------------------------------