%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO603+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:28:34 PM UTC 2026
% Result : Theorem 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 21 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 83 ( 30 ~; 27 |; 15 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 135 ( 2 sgn 84 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X4,X5,X6)
& perp(X1,X2,X3,X4) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(exemplo6GDDFULL618065,conjecture,
! [X1,X2,X3,X4,X5,X6,X13] :
( ( circle(X13,X1,X5,X6)
& coll(X6,X1,X3)
& para(X2,X3,X6,X5)
& coll(X5,X1,X2)
& circle(X4,X1,X2,X3) )
=> coll(X1,X13,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618065) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(c_0_10,plain,
! [X51,X52,X53,X54,X55,X56] :
( para(X51,X52,X55,X56)
| ~ perp(X53,X54,X55,X56)
| ~ perp(X51,X52,X53,X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_11,plain,
! [X493,X494,X495,X496] :
( perp(esk12_4(X493,X494,X495,X496),X493,X493,X496)
| ~ circle(X496,X493,X494,X495) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])])]) ).
fof(c_0_12,plain,
! [X47,X48,X49,X50] :
( perp(X49,X50,X47,X48)
| ~ perp(X47,X48,X49,X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
cnf(c_0_13,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( ~ circle(X1,X2,X3,X4)
| perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13] :
( ( circle(X13,X1,X5,X6)
& coll(X6,X1,X3)
& para(X2,X3,X6,X5)
& coll(X5,X1,X2)
& circle(X4,X1,X2,X3) )
=> coll(X1,X13,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618065]) ).
cnf(c_0_17,plain,
( ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3)
| ~ circle(X4,X3,X5,X6)
| para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( ~ circle(X2,X1,X3,X4)
| perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
fof(c_0_19,negated_conjecture,
( ~ coll(esk21_0,esk27_0,esk24_0)
& circle(esk27_0,esk21_0,esk25_0,esk26_0)
& coll(esk26_0,esk21_0,esk23_0)
& para(esk22_0,esk23_0,esk26_0,esk25_0)
& coll(esk25_0,esk21_0,esk22_0)
& circle(esk24_0,esk21_0,esk22_0,esk23_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_20,plain,
! [X29,X30,X31,X32] :
( para(X29,X30,X32,X31)
| ~ para(X29,X30,X31,X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_21,plain,
( ~ circle(X2,X1,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
circle(esk27_0,esk21_0,esk25_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X33,X34,X35,X36] :
( para(X35,X36,X33,X34)
| ~ para(X33,X34,X35,X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_24,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
para(esk21_0,esk27_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
para(esk21_0,esk27_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
para(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
fof(c_0_30,plain,
! [X383,X384,X385] :
( coll(X383,X384,X385)
| ~ para(X383,X384,X383,X385) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_31,negated_conjecture,
para(esk27_0,esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
para(esk21_0,esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
fof(c_0_33,plain,
! [X22,X23,X24] :
( coll(X23,X22,X24)
| ~ coll(X22,X23,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_34,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
para(esk27_0,esk21_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_24,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
para(esk24_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_27,c_0_32]) ).
fof(c_0_37,plain,
! [X19,X20,X21] :
( coll(X19,X21,X20)
| ~ coll(X19,X20,X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_38,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,negated_conjecture,
coll(esk27_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
para(esk24_0,esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_24,c_0_36]) ).
fof(c_0_41,plain,
! [X25,X26,X27,X28] :
( coll(X27,X28,X25)
| ~ coll(X25,X26,X28)
| ~ coll(X25,X26,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_42,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
coll(esk21_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
coll(esk24_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_34,c_0_40]) ).
cnf(c_0_45,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_46,negated_conjecture,
coll(esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
coll(esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_38,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( ~ coll(esk21_0,esk21_0,X1)
| coll(X1,esk27_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,negated_conjecture,
coll(esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_42,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
coll(esk24_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,negated_conjecture,
coll(esk24_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_42,c_0_50]) ).
cnf(c_0_52,negated_conjecture,
coll(esk21_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_38,c_0_51]) ).
cnf(c_0_53,negated_conjecture,
~ coll(esk21_0,esk27_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_52]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO603+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 17:42:10 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.19/0.52 % Version: 3.5.1
% 0.19/0.52 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.52 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.52 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.52 % Starting sh5l with 300s (1) cores
% 0.19/0.52 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4029298 completed with status 0
% 0.19/0.52 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.19/0.52 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.52 % No SInE strategy applied
% 0.19/0.52 % Search class: FGUSF-FFLS33-SFFFFFNN
% 0.19/0.52 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.19/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.19/0.52 % Starting new_bool_3 with 136s (1) cores
% 0.19/0.52 % Starting new_bool_1 with 136s (1) cores
% 0.19/0.52 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 4029306 completed with status 0
% 0.19/0.52 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.19/0.52 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.52 % No SInE strategy applied
% 0.19/0.52 % Search class: FGUSF-FFLS33-SFFFFFNN
% 0.19/0.52 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.19/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.19/0.52 % Preprocessing time : 0.003 s
% 0.19/0.52 % Presaturation interreduction done
% 0.19/0.52
% 0.19/0.52 % Proof found!
% 0.19/0.52 % SZS status Theorem
% 0.19/0.52 % SZS output start CNFRefutation
% See solution above
% 0.19/0.52 % Parsed axioms : 95
% 0.19/0.52 % Removed by relevancy pruning/SinE : 0
% 0.19/0.52 % Initial clauses : 119
% 0.19/0.52 % Removed in clause preprocessing : 0
% 0.19/0.52 % Initial clauses in saturation : 119
% 0.19/0.52 % Processed clauses : 870
% 0.19/0.52 % ...of these trivial : 53
% 0.19/0.52 % ...subsumed : 23
% 0.19/0.52 % ...remaining for further processing : 794
% 0.19/0.52 % Other redundant clauses eliminated : 0
% 0.19/0.52 % Clauses deleted for lack of memory : 0
% 0.19/0.52 % Backward-subsumed : 0
% 0.19/0.52 % Backward-rewritten : 23
% 0.19/0.52 % Generated clauses : 3509
% 0.19/0.52 % ...of the previous two non-redundant : 2217
% 0.19/0.52 % ...aggressively subsumed : 0
% 0.19/0.52 % Contextual simplify-reflections : 0
% 0.19/0.52 % Paramodulations : 3509
% 0.19/0.52 % Factorizations : 0
% 0.19/0.52 % NegExts : 0
% 0.19/0.52 % Equation resolutions : 0
% 0.19/0.52 % Disequality decompositions : 0
% 0.19/0.52 % Total rewrite steps : 1385
% 0.19/0.52 % ...of those cached : 1039
% 0.19/0.52 % Propositional unsat checks : 0
% 0.19/0.52 % Propositional check models : 0
% 0.19/0.52 % Propositional check unsatisfiable : 0
% 0.19/0.52 % Propositional clauses : 0
% 0.19/0.52 % Propositional clauses after purity: 0
% 0.19/0.52 % Propositional unsat core size : 0
% 0.19/0.52 % Propositional preprocessing time : 0.000
% 0.19/0.52 % Propositional encoding time : 0.000
% 0.19/0.52 % Propositional solver time : 0.000
% 0.19/0.52 % Success case prop preproc time : 0.000
% 0.19/0.52 % Success case prop encoding time : 0.000
% 0.19/0.52 % Success case prop solver time : 0.000
% 0.19/0.52 % Current number of processed clauses : 653
% 0.19/0.52 % Positive orientable unit clauses : 353
% 0.19/0.52 % Positive unorientable unit clauses: 0
% 0.19/0.52 % Negative unit clauses : 1
% 0.19/0.52 % Non-unit-clauses : 299
% 0.19/0.52 % Current number of unprocessed clauses: 1584
% 0.19/0.52 % ...number of literals in the above : 5134
% 0.19/0.52 % Current number of archived formulas : 0
% 0.19/0.52 % Current number of archived clauses : 141
% 0.19/0.52 % Clause-clause subsumption calls (NU) : 11494
% 0.19/0.52 % Rec. Clause-clause subsumption calls : 9501
% 0.19/0.52 % Non-unit clause-clause subsumptions : 23
% 0.19/0.52 % Unit Clause-clause subsumption calls : 9669
% 0.19/0.52 % Rewrite failures with RHS unbound : 0
% 0.19/0.52 % BW rewrite match attempts : 1014
% 0.19/0.52 % BW rewrite match successes : 2
% 0.19/0.52 % Condensation attempts : 0
% 0.19/0.52 % Condensation successes : 0
% 0.19/0.52 % Termbank termtop insertions : 49848
% 0.19/0.52 % Search garbage collected termcells : 2799
% 0.19/0.52
% 0.19/0.52 % -------------------------------------------------
% 0.19/0.52 % User time : 0.080 s
% 0.19/0.52 % System time : 0.005 s
% 0.19/0.52 % Total time : 0.085 s
% 0.19/0.52 % Maximum resident set size: 4304 pages
% 0.19/0.52
% 0.19/0.52 % -------------------------------------------------
% 0.19/0.52 % User time : 0.326 s
% 0.19/0.52 % System time : 0.037 s
% 0.19/0.52 % Total time : 0.363 s
% 0.19/0.52 % Maximum resident set size: 4864 pages
% 0.19/0.52 % E exiting
%------------------------------------------------------------------------------