%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO572+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 : n025.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 04:21:33 PM UTC 2026
% Result : Theorem 2.01s 2.02s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 93 ( 23 unt; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 166 ( 64 ~; 60 |; 21 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 351 ( 18 sgn 198 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214034,conjecture,
! [X1,X2,X3,X14,X8,X9,X19] :
( ( perp(X1,X2,X3,X14)
& perp(X1,X3,X2,X14)
& perp(X2,X3,X1,X14)
& perp(X3,X14,X14,X9)
& circle(X8,X14,X2,X3)
& circle(X8,X2,X9,X19) )
=> para(X1,X14,X2,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214034) ).
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(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(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(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(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(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(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(ruleD74,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& perp(X9,X10,X11,X12) )
=> perp(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
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_20,negated_conjecture,
~ ! [X1,X2,X3,X14,X8,X9,X19] :
( ( perp(X1,X2,X3,X14)
& perp(X1,X3,X2,X14)
& perp(X2,X3,X1,X14)
& perp(X3,X14,X14,X9)
& circle(X8,X14,X2,X3)
& circle(X8,X2,X9,X19) )
=> para(X1,X14,X2,X9) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214034]) ).
fof(c_0_21,plain,
! [X577,X578,X579,X580] :
( ~ perp(X577,X578,X579,X580)
| perp(X579,X580,X577,X578) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_22,negated_conjecture,
( perp(esk21_0,esk22_0,esk23_0,esk24_0)
& perp(esk21_0,esk23_0,esk22_0,esk24_0)
& perp(esk22_0,esk23_0,esk21_0,esk24_0)
& perp(esk23_0,esk24_0,esk24_0,esk26_0)
& circle(esk25_0,esk24_0,esk22_0,esk23_0)
& circle(esk25_0,esk22_0,esk26_0,esk27_0)
& ~ para(esk21_0,esk24_0,esk22_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_23,plain,
! [X573,X574,X575,X576] :
( ~ perp(X573,X574,X575,X576)
| perp(X573,X574,X576,X575) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_24,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
perp(esk23_0,esk24_0,esk24_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,negated_conjecture,
perp(esk24_0,esk26_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
perp(esk24_0,esk26_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_29,plain,
! [X630,X631,X632,X633,X634,X635,X636,X637] :
( ~ eqangle(X630,X631,X632,X633,X634,X635,X636,X637)
| eqangle(X632,X633,X630,X631,X636,X637,X634,X635) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_30,plain,
! [X784,X785,X786,X787,X788,X789] :
( ~ para(X784,X785,X786,X787)
| eqangle(X784,X785,X788,X789,X786,X787,X788,X789) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_31,plain,
! [X581,X582,X583,X584,X585,X586] :
( ~ perp(X581,X582,X583,X584)
| ~ perp(X583,X584,X585,X586)
| para(X581,X582,X585,X586) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_32,negated_conjecture,
perp(esk24_0,esk23_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_24,c_0_28]) ).
fof(c_0_33,plain,
! [X778,X779,X780,X781,X782,X783] :
( ~ eqangle(X778,X779,X782,X783,X780,X781,X782,X783)
| para(X778,X779,X780,X781) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_34,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_29]) ).
cnf(c_0_35,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,plain,
! [X563,X564,X565,X566] :
( ~ para(X563,X564,X565,X566)
| para(X565,X566,X563,X564) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_37,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
perp(esk24_0,esk23_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_39,negated_conjecture,
perp(esk23_0,esk24_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_40,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( para(X1,X2,esk26_0,esk24_0)
| ~ perp(X1,X2,esk24_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
perp(esk26_0,esk24_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_24,c_0_39]) ).
fof(c_0_45,plain,
! [X913,X914,X915] :
( ~ para(X913,X914,X913,X915)
| coll(X913,X914,X915) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_46,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( para(esk26_0,esk24_0,X1,X2)
| ~ perp(X1,X2,esk24_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
perp(esk26_0,esk24_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_26,c_0_44]) ).
fof(c_0_49,plain,
! [X552,X553,X554] :
( ~ coll(X552,X553,X554)
| coll(X553,X552,X554) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_50,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
fof(c_0_52,plain,
! [X549,X550,X551] :
( ~ coll(X549,X550,X551)
| coll(X549,X551,X550) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_53,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_55,plain,
! [X798,X799,X800,X801] :
( ~ eqangle(X800,X798,X800,X799,X801,X798,X801,X799)
| ~ coll(X800,X801,X799)
| cyclic(X798,X799,X800,X801) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_56,plain,
! [X555,X556,X557,X558] :
( ~ coll(X555,X556,X557)
| ~ coll(X555,X556,X558)
| coll(X557,X558,X555) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_57,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,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_55]) ).
cnf(c_0_60,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,plain,
! [X609,X610,X611,X612] :
( ~ cyclic(X609,X610,X611,X612)
| cyclic(X609,X611,X610,X612) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_63,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_35]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_61])]) ).
fof(c_0_65,plain,
! [X605,X606,X607,X608] :
( ~ cyclic(X605,X606,X607,X608)
| cyclic(X605,X606,X608,X607) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_66,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_51])]),c_0_64])]) ).
fof(c_0_68,plain,
! [X638,X639,X640,X641,X642,X643,X644,X645] :
( ~ eqangle(X638,X639,X640,X641,X642,X643,X644,X645)
| eqangle(X642,X643,X644,X645,X638,X639,X640,X641) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
fof(c_0_69,plain,
! [X790,X791,X792,X793] :
( ~ cyclic(X790,X791,X792,X793)
| eqangle(X792,X790,X792,X791,X793,X790,X793,X791) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_70,plain,
! [X613,X614,X615,X616] :
( ~ cyclic(X613,X614,X615,X616)
| cyclic(X614,X613,X615,X616) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_71,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_73,plain,
! [X947,X948,X949,X950,X951,X952,X953,X954] :
( ~ eqangle(X947,X948,X949,X950,X951,X952,X953,X954)
| ~ perp(X951,X952,X953,X954)
| perp(X947,X948,X949,X950) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])]) ).
cnf(c_0_74,plain,
( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_76,plain,
! [X617,X618,X619,X620,X621] :
( ~ cyclic(X617,X618,X619,X620)
| ~ cyclic(X617,X618,X619,X621)
| cyclic(X618,X619,X620,X621) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_77,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
perp(esk22_0,esk23_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_80,plain,
( perp(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ perp(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_81,plain,
( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ cyclic(X2,X3,X4,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_83,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,negated_conjecture,
( para(X1,X2,esk21_0,esk24_0)
| ~ perp(X1,X2,esk22_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_79]) ).
cnf(c_0_85,plain,
( perp(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X4,X1)
| ~ perp(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_83])]) ).
cnf(c_0_87,negated_conjecture,
~ para(esk21_0,esk24_0,esk22_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_88,negated_conjecture,
( para(esk21_0,esk24_0,X1,X2)
| ~ perp(X1,X2,esk22_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_84]) ).
cnf(c_0_89,plain,
( perp(X1,X2,X1,X3)
| ~ perp(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).
cnf(c_0_90,negated_conjecture,
~ perp(esk22_0,esk26_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_91,negated_conjecture,
perp(X1,esk26_0,X1,esk23_0),
inference(spm,[status(thm)],[c_0_89,c_0_28]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO572+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n025.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 18:03:58 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 2.01/2.02 % Version : CSE_E---1.7
% 2.01/2.02 % Problem : theBenchmark.p
% 2.01/2.02 % SZS status Theorem for theBenchmark.p
% 2.01/2.02 % SZS output start CNFRefutation
% See solution above
% 2.13/2.03 % Total time : 1.373s
%------------------------------------------------------------------------------