%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO007-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 12:26:50 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of clauses : 57 ( 30 unt; 7 nHn; 51 RR)
% Number of literals : 104 ( 23 equ; 49 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 100 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
cnf(identity_for_betweeness,axiom,
( ~ between(X1,X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
cnf(outer_pasch1,axiom,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X1,outer_pasch(X2,X1,X4,X5,X3),X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
cnf(outer_pasch2,axiom,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X5,X2,outer_pasch(X2,X1,X4,X5,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
cnf(a_between_a_and_e,hypothesis,
between(e,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_e) ).
cnf(connectivity_for_betweeness,axiom,
( ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| between(X1,X4,X3)
| between(X1,X3,X4)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',connectivity_for_betweeness) ).
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(transitivity_for_betweeness,axiom,
( ~ between(X2,X4,X3)
| ~ between(X1,X2,X3)
| between(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',transitivity_for_betweeness) ).
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_13,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_14,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_betweeness]) ).
cnf(c_0_15,plain,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X1,outer_pasch(X2,X1,X4,X5,X3),X4) ),
inference(fof_simplification,[status(thm)],[outer_pasch1]) ).
cnf(c_0_16,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
c_0_13 ).
cnf(c_0_17,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_18,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
c_0_14 ).
cnf(c_0_19,plain,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X1,outer_pasch(X2,X1,X4,X5,X3),X4) ),
c_0_15 ).
cnf(c_0_20,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_21,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( ~ between(X2,X1,X4)
| ~ between(X2,X4,X3)
| outer_pasch(X1,X2,X2,X3,X4) = X2 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X5,X2,outer_pasch(X2,X1,X4,X5,X3)) ),
inference(fof_simplification,[status(thm)],[outer_pasch2]) ).
cnf(c_0_25,plain,
( ~ between(X2,X1,X3)
| outer_pasch(X1,X2,X2,X3,X3) = X2 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,hypothesis,
between(e,a,c),
a_between_a_and_e ).
cnf(c_0_27,plain,
( ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| between(X1,X4,X3)
| between(X1,X3,X4)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[connectivity_for_betweeness]) ).
cnf(c_0_28,plain,
( ~ between(X4,X3,X5)
| ~ between(X1,X2,X3)
| between(X5,X2,outer_pasch(X2,X1,X4,X5,X3)) ),
c_0_24 ).
cnf(c_0_29,hypothesis,
outer_pasch(a,e,e,c,c) = e,
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,hypothesis,
a != c,
inference(fof_simplification,[status(thm)],[a_not_c]) ).
cnf(c_0_31,hypothesis,
between(d,a,c),
a_between_a_and_c ).
cnf(c_0_32,plain,
( ~ between(X1,X2,X4)
| ~ between(X1,X2,X3)
| between(X1,X4,X3)
| between(X1,X3,X4)
| X1 = X2 ),
c_0_27 ).
cnf(c_0_33,hypothesis,
between(c,a,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_23]),c_0_26])]) ).
cnf(c_0_34,hypothesis,
a != c,
c_0_30 ).
cnf(c_0_35,hypothesis,
outer_pasch(a,d,d,c,c) = d,
inference(spm,[status(thm)],[c_0_25,c_0_31]) ).
cnf(c_0_36,hypothesis,
( ~ between(c,a,X1)
| between(c,e,X1)
| between(c,X1,e) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_37,hypothesis,
between(c,a,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_35]),c_0_23]),c_0_31])]) ).
cnf(c_0_38,plain,
( ~ between(X2,X4,X3)
| ~ between(X1,X2,X3)
| between(X1,X2,X4) ),
inference(fof_simplification,[status(thm)],[transitivity_for_betweeness]) ).
cnf(c_0_39,hypothesis,
( between(c,d,e)
| between(c,e,d) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,hypothesis,
~ between(d,e,a),
inference(fof_simplification,[status(thm)],[e_not_between_d_and_a]) ).
cnf(c_0_41,plain,
( ~ between(X2,X4,X3)
| ~ between(X1,X2,X3)
| between(X1,X2,X4) ),
c_0_38 ).
cnf(c_0_42,hypothesis,
( between(c,d,e)
| outer_pasch(e,c,c,d,d) = c ),
inference(spm,[status(thm)],[c_0_25,c_0_39]) ).
cnf(c_0_43,hypothesis,
~ between(d,e,a),
c_0_40 ).
cnf(c_0_44,hypothesis,
( ~ between(X1,e,c)
| between(X1,e,a) ),
inference(spm,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_45,hypothesis,
( outer_pasch(d,c,c,e,e) = c
| outer_pasch(e,c,c,d,d) = c ),
inference(spm,[status(thm)],[c_0_25,c_0_42]) ).
cnf(c_0_46,hypothesis,
~ between(d,e,c),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
~ between(e,d,a),
inference(fof_simplification,[status(thm)],[prove_d_between_e_and_a]) ).
cnf(c_0_48,hypothesis,
( ~ between(c,e,d)
| outer_pasch(d,c,c,e,e) = c ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_45]),c_0_23])]),c_0_46]) ).
cnf(c_0_49,negated_conjecture,
~ between(e,d,a),
c_0_47 ).
cnf(c_0_50,hypothesis,
( ~ between(X1,d,c)
| between(X1,d,a) ),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_51,hypothesis,
outer_pasch(d,c,c,e,e) = c,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_39]),c_0_25]) ).
cnf(c_0_52,negated_conjecture,
~ between(e,d,c),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,hypothesis,
~ between(c,d,e),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_51]),c_0_23])]),c_0_52]) ).
cnf(c_0_54,hypothesis,
outer_pasch(e,c,c,d,d) = c,
inference(sr,[status(thm)],[c_0_42,c_0_53]) ).
cnf(c_0_55,hypothesis,
between(c,e,d),
inference(sr,[status(thm)],[c_0_39,c_0_53]) ).
cnf(c_0_56,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_54]),c_0_23]),c_0_55])]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO007-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 08:18:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.17/0.47 % Version: 3.5.1
% 0.17/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.47 % Starting sh5l with 300s (1) cores
% 0.17/0.47 % new_bool_1 with pid 2971815 completed with status 9
% 0.17/0.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2971813 completed with status 0
% 0.17/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.47 % No SInE strategy applied
% 0.17/0.47 % Search class: FGUSS-FFMF33-SFFFFFNN
% 0.17/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.47 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S4c with 136s (1) cores
% 0.17/0.47 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.17/0.47 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.17/0.47 % 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 2971829 completed with status 0
% 0.17/0.47 % Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.17/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.47 % No SInE strategy applied
% 0.17/0.47 % Search class: FGUSS-FFMF33-SFFFFFNN
% 0.17/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.47 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S4c with 136s (1) cores
% 0.17/0.47 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.17/0.47 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.17/0.47 % Preprocessing time : 0.001 s
% 0.17/0.47 % Presaturation interreduction done
% 0.17/0.47
% 0.17/0.47 % Proof found!
% 0.17/0.47 % SZS status Unsatisfiable
% 0.17/0.47 % SZS output start CNFRefutation
% See solution above
% 0.17/0.47 % Parsed axioms : 25
% 0.17/0.47 % Removed by relevancy pruning/SinE : 0
% 0.17/0.47 % Initial clauses : 25
% 0.17/0.47 % Removed in clause preprocessing : 0
% 0.17/0.47 % Initial clauses in saturation : 25
% 0.17/0.47 % Processed clauses : 122
% 0.17/0.47 % ...of these trivial : 2
% 0.17/0.47 % ...subsumed : 7
% 0.17/0.47 % ...remaining for further processing : 113
% 0.17/0.47 % Other redundant clauses eliminated : 0
% 0.17/0.47 % Clauses deleted for lack of memory : 0
% 0.17/0.47 % Backward-subsumed : 0
% 0.17/0.47 % Backward-rewritten : 8
% 0.17/0.47 % Generated clauses : 255
% 0.17/0.47 % ...of the previous two non-redundant : 182
% 0.17/0.47 % ...aggressively subsumed : 0
% 0.17/0.47 % Contextual simplify-reflections : 1
% 0.17/0.47 % Paramodulations : 253
% 0.17/0.47 % Factorizations : 0
% 0.17/0.47 % NegExts : 0
% 0.17/0.47 % Equation resolutions : 0
% 0.17/0.47 % Disequality decompositions : 0
% 0.17/0.47 % Total rewrite steps : 160
% 0.17/0.47 % ...of those cached : 120
% 0.17/0.47 % Propositional unsat checks : 0
% 0.17/0.47 % Propositional check models : 0
% 0.17/0.47 % Propositional check unsatisfiable : 0
% 0.17/0.47 % Propositional clauses : 0
% 0.17/0.47 % Propositional clauses after purity: 0
% 0.17/0.47 % Propositional unsat core size : 0
% 0.17/0.47 % Propositional preprocessing time : 0.000
% 0.17/0.47 % Propositional encoding time : 0.000
% 0.17/0.47 % Propositional solver time : 0.000
% 0.17/0.47 % Success case prop preproc time : 0.000
% 0.17/0.47 % Success case prop encoding time : 0.000
% 0.17/0.47 % Success case prop solver time : 0.000
% 0.17/0.47 % Current number of processed clauses : 78
% 0.17/0.47 % Positive orientable unit clauses : 23
% 0.17/0.47 % Positive unorientable unit clauses: 0
% 0.17/0.47 % Negative unit clauses : 9
% 0.17/0.47 % Non-unit-clauses : 46
% 0.17/0.47 % Current number of unprocessed clauses: 109
% 0.17/0.47 % ...number of literals in the above : 465
% 0.17/0.47 % Current number of archived formulas : 0
% 0.17/0.47 % Current number of archived clauses : 35
% 0.17/0.47 % Clause-clause subsumption calls (NU) : 925
% 0.17/0.47 % Rec. Clause-clause subsumption calls : 518
% 0.17/0.47 % Non-unit clause-clause subsumptions : 7
% 0.17/0.47 % Unit Clause-clause subsumption calls : 116
% 0.17/0.47 % Rewrite failures with RHS unbound : 0
% 0.17/0.47 % BW rewrite match attempts : 170
% 0.17/0.47 % BW rewrite match successes : 2
% 0.17/0.47 % Condensation attempts : 0
% 0.17/0.47 % Condensation successes : 0
% 0.17/0.47 % Termbank termtop insertions : 4896
% 0.17/0.47 % Search garbage collected termcells : 84
% 0.17/0.47
% 0.17/0.47 % -------------------------------------------------
% 0.17/0.47 % User time : 0.015 s
% 0.17/0.47 % System time : 0.002 s
% 0.17/0.47 % Total time : 0.017 s
% 0.17/0.47 % Maximum resident set size: 3656 pages
% 0.17/0.47
% 0.17/0.47 % -------------------------------------------------
% 0.17/0.47 % User time : 0.116 s
% 0.17/0.47 % System time : 0.020 s
% 0.17/0.47 % Total time : 0.136 s
% 0.17/0.47 % Maximum resident set size: 4864 pages
% 0.17/0.47 % E exiting
%------------------------------------------------------------------------------