%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO001-3 : 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 : n016.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 12:26:48 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.61s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 11 unt; 0 nHn; 18 RR)
% Number of literals : 39 ( 4 equ; 20 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 : 46 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
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(b_between_a_and_c,hypothesis,
between(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_a_and_c) ).
cnf(identity_for_betweeness,axiom,
( ~ between(X1,X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(t3,axiom,
between(X1,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).
cnf(prove_b_between_c_and_a,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).
cnf(c_0_6,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_7,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_8,plain,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X5,inner_pasch(X1,X2,X3,X5,X4),X1) ),
c_0_6 ).
cnf(c_0_9,hypothesis,
between(a,b,c),
b_between_a_and_c ).
cnf(c_0_10,plain,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X2,inner_pasch(X1,X2,X3,X5,X4),X4) ),
c_0_7 ).
cnf(c_0_11,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_betweeness]) ).
cnf(c_0_12,hypothesis,
( ~ between(X1,X2,c)
| between(b,inner_pasch(X1,X2,c,b,a),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,axiom,
between(X1,X2,X2),
t3 ).
cnf(c_0_14,hypothesis,
( ~ between(X2,X1,c)
| between(X1,inner_pasch(X2,X1,c,b,a),a) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_15,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
c_0_11 ).
cnf(c_0_16,hypothesis,
between(b,inner_pasch(X1,c,c,b,a),X1),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
~ between(c,b,a),
inference(fof_simplification,[status(thm)],[prove_b_between_c_and_a]) ).
cnf(c_0_18,hypothesis,
between(c,inner_pasch(X1,c,c,b,a),a),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_19,hypothesis,
inner_pasch(b,c,c,b,a) = b,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
~ between(c,b,a),
c_0_17 ).
cnf(c_0_21,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO001-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.53 % Computer : n016.cluster.edu
% 0.11/0.53 % Model : x86_64 x86_64
% 0.11/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.53 % Memory : 8046.5625MB
% 0.11/0.53 % OS : Linux 6.8.0-71-generic
% 0.11/0.53 % CPULimit : 300
% 0.11/0.53 % WCLimit : 300
% 0.11/0.53 % DateTime : Sun Sep 20 08:18:37 UTC 2026
% 0.11/0.53 % CPUTime :
% 0.11/0.53 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.58 Running first-order theorem proving
% 0.15/0.58 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
% 0.15/0.61 % Version: 3.5.1
% 0.15/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.61 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.61 % Starting sh5l with 300s (1) cores
% 0.15/0.61 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4087511 completed with status 0
% 0.15/0.61 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.61 % No SInE strategy applied
% 0.15/0.61 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.15/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.61 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.15/0.61 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.61 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.15/0.61 % new_bool_3 with pid 4087521 completed with status 0
% 0.15/0.61 % Result found by new_bool_3
% 0.15/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.61 % No SInE strategy applied
% 0.15/0.61 % Search class: FGUSM-FFMF33-SFFFFFNN
% 0.15/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.61 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.15/0.61 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.61 % Preprocessing time : 0.002 s
% 0.15/0.61 % Presaturation interreduction done
% 0.15/0.61
% 0.15/0.61 % Proof found!
% 0.15/0.61 % SZS status Unsatisfiable
% 0.15/0.61 % SZS output start CNFRefutation
% See solution above
% 0.15/0.61 % Parsed axioms : 47
% 0.15/0.61 % Removed by relevancy pruning/SinE : 0
% 0.15/0.61 % Initial clauses : 47
% 0.15/0.61 % Removed in clause preprocessing : 1
% 0.15/0.61 % Initial clauses in saturation : 46
% 0.15/0.61 % Processed clauses : 100
% 0.15/0.61 % ...of these trivial : 5
% 0.15/0.61 % ...subsumed : 1
% 0.15/0.61 % ...remaining for further processing : 94
% 0.15/0.61 % Other redundant clauses eliminated : 4
% 0.15/0.61 % Clauses deleted for lack of memory : 0
% 0.15/0.61 % Backward-subsumed : 0
% 0.15/0.61 % Backward-rewritten : 0
% 0.15/0.61 % Generated clauses : 157
% 0.15/0.61 % ...of the previous two non-redundant : 114
% 0.15/0.61 % ...aggressively subsumed : 0
% 0.15/0.61 % Contextual simplify-reflections : 0
% 0.15/0.61 % Paramodulations : 153
% 0.15/0.61 % Factorizations : 0
% 0.15/0.61 % NegExts : 0
% 0.15/0.61 % Equation resolutions : 4
% 0.15/0.61 % Disequality decompositions : 0
% 0.15/0.61 % Total rewrite steps : 48
% 0.15/0.61 % ...of those cached : 26
% 0.15/0.61 % Propositional unsat checks : 0
% 0.15/0.61 % Propositional check models : 0
% 0.15/0.61 % Propositional check unsatisfiable : 0
% 0.15/0.61 % Propositional clauses : 0
% 0.15/0.61 % Propositional clauses after purity: 0
% 0.15/0.61 % Propositional unsat core size : 0
% 0.15/0.61 % Propositional preprocessing time : 0.000
% 0.15/0.61 % Propositional encoding time : 0.000
% 0.15/0.61 % Propositional solver time : 0.000
% 0.15/0.61 % Success case prop preproc time : 0.000
% 0.15/0.61 % Success case prop encoding time : 0.000
% 0.15/0.61 % Success case prop solver time : 0.000
% 0.15/0.61 % Current number of processed clauses : 51
% 0.15/0.61 % Positive orientable unit clauses : 14
% 0.15/0.61 % Positive unorientable unit clauses: 0
% 0.15/0.61 % Negative unit clauses : 4
% 0.15/0.61 % Non-unit-clauses : 33
% 0.15/0.61 % Current number of unprocessed clauses: 89
% 0.15/0.61 % ...number of literals in the above : 265
% 0.15/0.61 % Current number of archived formulas : 0
% 0.15/0.61 % Current number of archived clauses : 41
% 0.15/0.61 % Clause-clause subsumption calls (NU) : 947
% 0.15/0.61 % Rec. Clause-clause subsumption calls : 687
% 0.15/0.61 % Non-unit clause-clause subsumptions : 1
% 0.15/0.61 % Unit Clause-clause subsumption calls : 10
% 0.15/0.61 % Rewrite failures with RHS unbound : 0
% 0.15/0.61 % BW rewrite match attempts : 39
% 0.15/0.61 % BW rewrite match successes : 0
% 0.15/0.61 % Condensation attempts : 0
% 0.15/0.61 % Condensation successes : 0
% 0.15/0.61 % Termbank termtop insertions : 3517
% 0.15/0.61 % Search garbage collected termcells : 107
% 0.15/0.61
% 0.15/0.61 % -------------------------------------------------
% 0.15/0.61 % User time : 0.010 s
% 0.15/0.61 % System time : 0.004 s
% 0.15/0.61 % Total time : 0.014 s
% 0.15/0.61 % Maximum resident set size: 3616 pages
% 0.15/0.61
% 0.15/0.61 % -------------------------------------------------
% 0.15/0.61 % User time : 0.052 s
% 0.15/0.61 % System time : 0.014 s
% 0.15/0.61 % Total time : 0.067 s
% 0.15/0.61 % Maximum resident set size: 4608 pages
% 0.15/0.61 % E exiting
%------------------------------------------------------------------------------