%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO620+1 : TPTP v9.3.1. Released v7.5.0.
% 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 12:30:31 PM UTC 2026
% Result : Theorem 0.51s 0.50s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 45 ( 25 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 69 ( 19 ~; 16 |; 29 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 54 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110982,conjecture,
! [X1,X2,X3,X8,X19,X5,X20,X21] :
( ( coll(X21,X2,X8)
& perp(X21,X3,X2,X8)
& coll(X20,X1,X5)
& perp(X20,X3,X1,X5)
& perp(X1,X8,X1,X5)
& coll(X19,X1,X8)
& perp(X19,X3,X1,X8)
& eqangle(X8,X3,X3,X1,X8,X3,X3,X2)
& eqangle(X8,X2,X2,X3,X8,X2,X2,X1)
& eqangle(X8,X1,X1,X2,X8,X1,X1,X3) )
=> coll(X19,X21,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110982) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3,X8,X19,X5,X20,X21] :
( ( coll(X21,X2,X8)
& perp(X21,X3,X2,X8)
& coll(X20,X1,X5)
& perp(X20,X3,X1,X5)
& perp(X1,X8,X1,X5)
& coll(X19,X1,X8)
& perp(X19,X3,X1,X8)
& eqangle(X8,X3,X3,X1,X8,X3,X3,X2)
& eqangle(X8,X2,X2,X3,X8,X2,X2,X1)
& eqangle(X8,X1,X1,X2,X8,X1,X1,X3) )
=> coll(X19,X21,X20) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110982]) ).
fof(c_0_5,plain,
! [X22,X23,X24] :
( coll(X22,X24,X23)
| ~ coll(X22,X23,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
fof(c_0_6,negated_conjecture,
( ~ coll(esk25_0,esk28_0,esk27_0)
& coll(esk28_0,esk22_0,esk24_0)
& perp(esk28_0,esk23_0,esk22_0,esk24_0)
& coll(esk27_0,esk21_0,esk26_0)
& perp(esk27_0,esk23_0,esk21_0,esk26_0)
& perp(esk21_0,esk24_0,esk21_0,esk26_0)
& coll(esk25_0,esk21_0,esk24_0)
& perp(esk25_0,esk23_0,esk21_0,esk24_0)
& eqangle(esk24_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0)
& eqangle(esk24_0,esk22_0,esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0)
& eqangle(esk24_0,esk21_0,esk21_0,esk22_0,esk24_0,esk21_0,esk21_0,esk23_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,plain,
! [X28,X29,X30,X31] :
( coll(X30,X31,X28)
| ~ coll(X28,X29,X31)
| ~ coll(X28,X29,X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_8,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
coll(esk27_0,esk21_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X25,X26,X27] :
( coll(X26,X25,X27)
| ~ coll(X25,X26,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_11,negated_conjecture,
coll(esk25_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
coll(esk27_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
coll(esk25_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( ~ coll(esk27_0,esk26_0,X1)
| coll(X1,esk21_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
coll(esk24_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
coll(esk28_0,esk22_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
coll(esk21_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_20,negated_conjecture,
coll(esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( ~ coll(esk24_0,esk25_0,X1)
| coll(X1,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( ~ coll(esk28_0,esk22_0,X1)
| coll(X1,esk24_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
coll(esk21_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( ~ coll(esk21_0,esk21_0,X1)
| coll(X1,esk27_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
coll(esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
coll(esk24_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_27,negated_conjecture,
( ~ coll(esk25_0,esk21_0,X1)
| coll(X1,esk24_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_28,negated_conjecture,
coll(esk24_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
coll(esk24_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( ~ coll(esk24_0,esk24_0,X1)
| coll(X1,esk28_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
coll(esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( ~ coll(esk24_0,esk21_0,X1)
| coll(X1,esk25_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
coll(esk24_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_8,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
coll(esk25_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
coll(esk27_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
coll(esk25_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_8,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
coll(esk25_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_14,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( ~ coll(esk25_0,esk24_0,X1)
| coll(X1,esk28_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
coll(esk25_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_8,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
coll(esk27_0,esk28_0,esk25_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_41,negated_conjecture,
coll(esk27_0,esk25_0,esk28_0),
inference(spm,[status(thm)],[c_0_8,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
coll(esk25_0,esk27_0,esk28_0),
inference(spm,[status(thm)],[c_0_14,c_0_41]) ).
cnf(c_0_43,negated_conjecture,
~ coll(esk25_0,esk28_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_42]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO620+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 18:00:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.51/0.50 % Version: 3.5.1
% 0.51/0.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.51/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.51/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.51/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.51/0.50 % Starting sh5l with 300s (1) cores
% 0.51/0.50 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 634353 completed with status 0
% 0.51/0.50 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.51/0.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.51/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.51/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.51/0.50 % No SInE strategy applied
% 0.51/0.50 % Search class: FGUSF-FFLM33-SFFFFFNN
% 0.51/0.50 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.51/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.51/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.51/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.51/0.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.51/0.50 % Starting new_bool_3 with 136s (1) cores
% 0.51/0.50 % Starting new_bool_1 with 136s (1) cores
% 0.51/0.50 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 634361 completed with status 0
% 0.51/0.50 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.51/0.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.51/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.51/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.51/0.50 % No SInE strategy applied
% 0.51/0.50 % Search class: FGUSF-FFLM33-SFFFFFNN
% 0.51/0.50 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.51/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.51/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.51/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.51/0.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.51/0.50 % Preprocessing time : 0.002 s
% 0.51/0.50 % Presaturation interreduction done
% 0.51/0.50
% 0.51/0.50 % Proof found!
% 0.51/0.50 % SZS status Theorem
% 0.51/0.50 % SZS output start CNFRefutation
% See solution above
% 0.51/0.50 % Parsed axioms : 95
% 0.51/0.50 % Removed by relevancy pruning/SinE : 0
% 0.51/0.50 % Initial clauses : 124
% 0.51/0.50 % Removed in clause preprocessing : 0
% 0.51/0.50 % Initial clauses in saturation : 124
% 0.51/0.50 % Processed clauses : 1078
% 0.51/0.50 % ...of these trivial : 60
% 0.51/0.50 % ...subsumed : 46
% 0.51/0.50 % ...remaining for further processing : 972
% 0.51/0.50 % Other redundant clauses eliminated : 0
% 0.51/0.50 % Clauses deleted for lack of memory : 0
% 0.51/0.50 % Backward-subsumed : 0
% 0.51/0.50 % Backward-rewritten : 0
% 0.51/0.50 % Generated clauses : 4127
% 0.51/0.50 % ...of the previous two non-redundant : 2968
% 0.51/0.50 % ...aggressively subsumed : 0
% 0.51/0.50 % Contextual simplify-reflections : 0
% 0.51/0.50 % Paramodulations : 4127
% 0.51/0.50 % Factorizations : 0
% 0.51/0.50 % NegExts : 0
% 0.51/0.50 % Equation resolutions : 0
% 0.51/0.50 % Disequality decompositions : 0
% 0.51/0.50 % Total rewrite steps : 1245
% 0.51/0.50 % ...of those cached : 740
% 0.51/0.50 % Propositional unsat checks : 0
% 0.51/0.50 % Propositional check models : 0
% 0.51/0.50 % Propositional check unsatisfiable : 0
% 0.51/0.50 % Propositional clauses : 0
% 0.51/0.50 % Propositional clauses after purity: 0
% 0.51/0.50 % Propositional unsat core size : 0
% 0.51/0.50 % Propositional preprocessing time : 0.000
% 0.51/0.50 % Propositional encoding time : 0.000
% 0.51/0.50 % Propositional solver time : 0.000
% 0.51/0.50 % Success case prop preproc time : 0.000
% 0.51/0.50 % Success case prop encoding time : 0.000
% 0.51/0.50 % Success case prop solver time : 0.000
% 0.51/0.50 % Current number of processed clauses : 849
% 0.51/0.50 % Positive orientable unit clauses : 533
% 0.51/0.50 % Positive unorientable unit clauses: 0
% 0.51/0.50 % Negative unit clauses : 1
% 0.51/0.50 % Non-unit-clauses : 315
% 0.51/0.50 % Current number of unprocessed clauses: 2137
% 0.51/0.50 % ...number of literals in the above : 6382
% 0.51/0.50 % Current number of archived formulas : 0
% 0.51/0.50 % Current number of archived clauses : 123
% 0.51/0.50 % Clause-clause subsumption calls (NU) : 12313
% 0.51/0.50 % Rec. Clause-clause subsumption calls : 8901
% 0.51/0.50 % Non-unit clause-clause subsumptions : 46
% 0.51/0.50 % Unit Clause-clause subsumption calls : 11511
% 0.51/0.50 % Rewrite failures with RHS unbound : 0
% 0.51/0.50 % BW rewrite match attempts : 1627
% 0.51/0.50 % BW rewrite match successes : 0
% 0.51/0.50 % Condensation attempts : 0
% 0.51/0.50 % Condensation successes : 0
% 0.51/0.50 % Termbank termtop insertions : 58200
% 0.51/0.50 % Search garbage collected termcells : 2849
% 0.51/0.50
% 0.51/0.50 % -------------------------------------------------
% 0.51/0.50 % User time : 0.060 s
% 0.51/0.50 % System time : 0.008 s
% 0.51/0.50 % Total time : 0.068 s
% 0.51/0.50 % Maximum resident set size: 4304 pages
% 0.51/0.50
% 0.51/0.50 % -------------------------------------------------
% 0.51/0.50 % User time : 0.212 s
% 0.51/0.50 % System time : 0.038 s
% 0.51/0.50 % Total time : 0.251 s
% 0.51/0.50 % Maximum resident set size: 5120 pages
% 0.51/0.50 % E exiting
%------------------------------------------------------------------------------