%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO640+1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:21:45 PM UTC 2026
% Result : Theorem 3.90s 3.16s
% Output : CNFRefutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 77 ( 17 unt; 0 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 199 ( 53 ~; 50 |; 77 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 31 ( 31 usr; 30 con; 0-4 aty)
% Number of variables : 343 ( 20 sgn 212 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(exemplo6GDDFULL81109106,conjecture,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
( ( coll(X24,X19,X20)
& coll(X24,X22,X23)
& coll(X25,X20,X21)
& coll(X25,X22,X23)
& coll(X26,X20,X21)
& coll(X26,X19,X23)
& coll(X27,X21,X22)
& coll(X27,X19,X23)
& coll(X28,X19,X20)
& coll(X28,X21,X22)
& circle(X29,X22,X24,X28)
& circle(X30,X28,X27,X19)
& circle(X31,X27,X26,X21)
& circle(X32,X25,X26,X23)
& circle(X33,X25,X20,X24)
& circle(X29,X22,X34,X39)
& circle(X33,X20,X34,X40)
& circle(X29,X22,X35,X41)
& circle(X30,X19,X35,X42)
& circle(X30,X19,X36,X43)
& circle(X31,X21,X36,X44)
& circle(X31,X21,X37,X45)
& circle(X32,X23,X37,X46)
& circle(X32,X23,X38,X47)
& circle(X33,X20,X38,X48) )
=> cyclic(X35,X36,X37,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109106) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(c_0_18,plain,
! [X633,X634,X635,X636,X637,X638] :
( ~ perp(X633,X634,X635,X636)
| ~ perp(X635,X636,X637,X638)
| para(X633,X634,X637,X638) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_19,plain,
! [X1075,X1076,X1077,X1078] :
( ~ circle(X1078,X1075,X1076,X1077)
| perp(esk12_4(X1075,X1076,X1077,X1078),X1075,X1075,X1078) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_20,plain,
! [X629,X630,X631,X632] :
( ~ perp(X629,X630,X631,X632)
| perp(X631,X632,X629,X630) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_21,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,negated_conjecture,
~ ! [X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
( ( coll(X24,X19,X20)
& coll(X24,X22,X23)
& coll(X25,X20,X21)
& coll(X25,X22,X23)
& coll(X26,X20,X21)
& coll(X26,X19,X23)
& coll(X27,X21,X22)
& coll(X27,X19,X23)
& coll(X28,X19,X20)
& coll(X28,X21,X22)
& circle(X29,X22,X24,X28)
& circle(X30,X28,X27,X19)
& circle(X31,X27,X26,X21)
& circle(X32,X25,X26,X23)
& circle(X33,X25,X20,X24)
& circle(X29,X22,X34,X39)
& circle(X33,X20,X34,X40)
& circle(X29,X22,X35,X41)
& circle(X30,X19,X35,X42)
& circle(X30,X19,X36,X43)
& circle(X31,X21,X36,X44)
& circle(X31,X21,X37,X45)
& circle(X32,X23,X37,X46)
& circle(X32,X23,X38,X47)
& circle(X33,X20,X38,X48) )
=> cyclic(X35,X36,X37,X38) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109106]) ).
cnf(c_0_25,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
fof(c_0_27,negated_conjecture,
( coll(esk26_0,esk21_0,esk22_0)
& coll(esk26_0,esk24_0,esk25_0)
& coll(esk27_0,esk22_0,esk23_0)
& coll(esk27_0,esk24_0,esk25_0)
& coll(esk28_0,esk22_0,esk23_0)
& coll(esk28_0,esk21_0,esk25_0)
& coll(esk29_0,esk23_0,esk24_0)
& coll(esk29_0,esk21_0,esk25_0)
& coll(esk30_0,esk21_0,esk22_0)
& coll(esk30_0,esk23_0,esk24_0)
& circle(esk31_0,esk24_0,esk26_0,esk30_0)
& circle(esk32_0,esk30_0,esk29_0,esk21_0)
& circle(esk33_0,esk29_0,esk28_0,esk23_0)
& circle(esk34_0,esk27_0,esk28_0,esk25_0)
& circle(esk35_0,esk27_0,esk22_0,esk26_0)
& circle(esk31_0,esk24_0,esk36_0,esk41_0)
& circle(esk35_0,esk22_0,esk36_0,esk42_0)
& circle(esk31_0,esk24_0,esk37_0,esk43_0)
& circle(esk32_0,esk21_0,esk37_0,esk44_0)
& circle(esk32_0,esk21_0,esk38_0,esk45_0)
& circle(esk33_0,esk23_0,esk38_0,esk46_0)
& circle(esk33_0,esk23_0,esk39_0,esk47_0)
& circle(esk34_0,esk25_0,esk39_0,esk48_0)
& circle(esk34_0,esk25_0,esk40_0,esk49_0)
& circle(esk35_0,esk22_0,esk40_0,esk50_0)
& ~ cyclic(esk37_0,esk38_0,esk39_0,esk40_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_28,plain,
! [X611,X612,X613,X614] :
( ~ para(X611,X612,X613,X614)
| para(X611,X612,X614,X613) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_29,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
circle(esk35_0,esk27_0,esk22_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,plain,
! [X682,X683,X684,X685,X686,X687,X688,X689] :
( ~ eqangle(X682,X683,X684,X685,X686,X687,X688,X689)
| eqangle(X684,X685,X682,X683,X688,X689,X686,X687) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_32,plain,
! [X836,X837,X838,X839,X840,X841] :
( ~ para(X836,X837,X838,X839)
| eqangle(X836,X837,X840,X841,X838,X839,X840,X841) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_33,plain,
! [X615,X616,X617,X618] :
( ~ para(X615,X616,X617,X618)
| para(X617,X618,X615,X616) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_34,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
para(esk27_0,esk35_0,esk27_0,esk35_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_36,plain,
! [X830,X831,X832,X833,X834,X835] :
( ~ eqangle(X830,X831,X834,X835,X832,X833,X834,X835)
| para(X830,X831,X832,X833) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_37,plain,
( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
para(esk27_0,esk35_0,esk35_0,esk27_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
para(esk35_0,esk27_0,esk27_0,esk35_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_44,plain,
! [X965,X966,X967] :
( ~ para(X965,X966,X965,X967)
| coll(X965,X966,X967) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_45,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
para(esk35_0,esk27_0,esk35_0,esk27_0),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
fof(c_0_47,plain,
! [X604,X605,X606] :
( ~ coll(X604,X605,X606)
| coll(X605,X604,X606) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_48,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X601,X602,X603] :
( ~ coll(X601,X602,X603)
| coll(X601,X603,X602) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_51,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,plain,
! [X850,X851,X852,X853] :
( ~ eqangle(X852,X850,X852,X851,X853,X850,X853,X851)
| ~ coll(X852,X853,X851)
| cyclic(X850,X851,X852,X853) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_54,plain,
! [X607,X608,X609,X610] :
( ~ coll(X607,X608,X609)
| ~ coll(X607,X608,X610)
| coll(X609,X610,X607) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_55,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
( cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ coll(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_58,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,plain,
! [X661,X662,X663,X664] :
( ~ cyclic(X661,X662,X663,X664)
| cyclic(X661,X663,X662,X664) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_61,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_38]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_59])]) ).
fof(c_0_63,plain,
! [X657,X658,X659,X660] :
( ~ cyclic(X657,X658,X659,X660)
| cyclic(X657,X658,X660,X659) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_64,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_49])]),c_0_62])]) ).
fof(c_0_66,plain,
! [X665,X666,X667,X668] :
( ~ cyclic(X665,X666,X667,X668)
| cyclic(X666,X665,X667,X668) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_67,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_69,plain,
! [X669,X670,X671,X672,X673] :
( ~ cyclic(X669,X670,X671,X672)
| ~ cyclic(X669,X670,X671,X673)
| cyclic(X670,X671,X672,X673) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_70,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
~ cyclic(esk37_0,esk38_0,esk39_0,esk40_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_75,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_73])]) ).
cnf(c_0_76,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO640+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n017.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:04:12 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 3.90/3.16 % Version : CSE_E---1.7
% 3.90/3.16 % Problem : theBenchmark.p
% 3.90/3.16 % SZS status Theorem for theBenchmark.p
% 3.90/3.16 % SZS output start CNFRefutation
% See solution above
% 3.90/3.17 % Total time : 2.370s
%------------------------------------------------------------------------------