%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO567+1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 1.80s 1.88s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 79 ( 21 unt; 0 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 138 ( 52 ~; 49 |; 20 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 266 ( 19 sgn 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214029,conjecture,
! [X1,X2,X3,X4,X10,X9] :
( ( perp(X4,X1,X2,X3)
& coll(X4,X2,X3)
& perp(X10,X4,X1,X2)
& coll(X10,X1,X2)
& perp(X9,X4,X1,X3)
& coll(X9,X1,X3) )
=> cyclic(X2,X10,X9,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214029) ).
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(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(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(c_0_16,negated_conjecture,
~ ! [X1,X2,X3,X4,X10,X9] :
( ( perp(X4,X1,X2,X3)
& coll(X4,X2,X3)
& perp(X10,X4,X1,X2)
& coll(X10,X1,X2)
& perp(X9,X4,X1,X3)
& coll(X9,X1,X3) )
=> cyclic(X2,X10,X9,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214029]) ).
fof(c_0_17,plain,
! [X550,X551,X552] :
( ~ coll(X550,X551,X552)
| coll(X551,X550,X552) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
fof(c_0_18,negated_conjecture,
( perp(esk24_0,esk21_0,esk22_0,esk23_0)
& coll(esk24_0,esk22_0,esk23_0)
& perp(esk25_0,esk24_0,esk21_0,esk22_0)
& coll(esk25_0,esk21_0,esk22_0)
& perp(esk26_0,esk24_0,esk21_0,esk23_0)
& coll(esk26_0,esk21_0,esk23_0)
& ~ cyclic(esk22_0,esk25_0,esk26_0,esk23_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_19,plain,
! [X547,X548,X549] :
( ~ coll(X547,X548,X549)
| coll(X547,X549,X548) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_20,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
coll(esk26_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,plain,
! [X575,X576,X577,X578] :
( ~ perp(X575,X576,X577,X578)
| perp(X577,X578,X575,X576) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_23,plain,
! [X553,X554,X555,X556] :
( ~ coll(X553,X554,X555)
| ~ coll(X553,X554,X556)
| coll(X555,X556,X553) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_24,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
coll(esk21_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_26,plain,
! [X796,X797,X798,X799] :
( ~ eqangle(X798,X796,X798,X797,X799,X796,X799,X797)
| ~ coll(X798,X799,X797)
| cyclic(X796,X797,X798,X799) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_27,plain,
! [X782,X783,X784,X785,X786,X787] :
( ~ para(X782,X783,X784,X785)
| eqangle(X782,X783,X786,X787,X784,X785,X786,X787) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_28,plain,
! [X579,X580,X581,X582,X583,X584] :
( ~ perp(X579,X580,X581,X582)
| ~ perp(X581,X582,X583,X584)
| para(X579,X580,X583,X584) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_29,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
perp(esk26_0,esk24_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
coll(esk21_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,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_26]) ).
cnf(c_0_34,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
perp(esk21_0,esk23_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
( coll(X1,esk26_0,esk21_0)
| ~ coll(esk21_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_38,plain,
! [X607,X608,X609,X610] :
( ~ cyclic(X607,X608,X609,X610)
| cyclic(X607,X609,X608,X610) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_39,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( para(X1,X2,esk26_0,esk24_0)
| ~ perp(X1,X2,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
coll(esk26_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
fof(c_0_42,plain,
! [X628,X629,X630,X631,X632,X633,X634,X635] :
( ~ eqangle(X628,X629,X630,X631,X632,X633,X634,X635)
| eqangle(X630,X631,X628,X629,X634,X635,X632,X633) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_43,plain,
! [X776,X777,X778,X779,X780,X781] :
( ~ eqangle(X776,X777,X780,X781,X778,X779,X780,X781)
| para(X776,X777,X778,X779) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
fof(c_0_44,plain,
! [X788,X789,X790,X791] :
( ~ cyclic(X788,X789,X790,X791)
| eqangle(X790,X788,X790,X789,X791,X788,X791,X789) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_45,plain,
! [X611,X612,X613,X614] :
( ~ cyclic(X611,X612,X613,X614)
| cyclic(X612,X611,X613,X614) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_46,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,negated_conjecture,
( cyclic(esk24_0,X1,esk26_0,esk26_0)
| ~ coll(esk26_0,esk26_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_30])]) ).
cnf(c_0_48,negated_conjecture,
coll(esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_24,c_0_41]) ).
cnf(c_0_49,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_42]) ).
cnf(c_0_50,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( cyclic(esk24_0,esk26_0,X1,esk26_0)
| ~ coll(esk26_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( coll(X1,esk26_0,esk26_0)
| ~ coll(esk26_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_48]) ).
cnf(c_0_55,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_49,c_0_34]) ).
cnf(c_0_56,plain,
( para(X1,X2,X1,X2)
| ~ cyclic(X2,X3,X1,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( cyclic(esk26_0,esk24_0,X1,esk26_0)
| ~ coll(esk26_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
coll(esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_54,c_0_48]) ).
fof(c_0_59,plain,
! [X911,X912,X913] :
( ~ para(X911,X912,X911,X913)
| coll(X911,X912,X913) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_60,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_50,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
para(esk26_0,esk26_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_62,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_63,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_65,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_20,c_0_64]) ).
cnf(c_0_66,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_24,c_0_65]) ).
cnf(c_0_67,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_66]),c_0_66])]) ).
fof(c_0_68,plain,
! [X603,X604,X605,X606] :
( ~ cyclic(X603,X604,X605,X606)
| cyclic(X603,X604,X606,X605) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_69,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_63])]),c_0_67])]) ).
cnf(c_0_70,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_71,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_46,c_0_69]) ).
fof(c_0_72,plain,
! [X615,X616,X617,X618,X619] :
( ~ cyclic(X615,X616,X617,X618)
| ~ cyclic(X615,X616,X617,X619)
| cyclic(X616,X617,X618,X619) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_75,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_52,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
~ cyclic(esk22_0,esk25_0,esk26_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_75])]) ).
cnf(c_0_78,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO567+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n007.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 18:02:54 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.80/1.88 % Version : CSE_E---1.7
% 1.80/1.88 % Problem : theBenchmark.p
% 1.80/1.88 % SZS status Theorem for theBenchmark.p
% 1.80/1.88 % SZS output start CNFRefutation
% See solution above
% 1.80/1.88 % Total time : 1.371s
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