%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO543+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 : n014.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 04:21:29 PM UTC 2026
% Result : Theorem 2.20s 1.99s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 68 ( 16 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 141 ( 46 ~; 43 |; 35 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 266 ( 18 sgn 156 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012003,conjecture,
! [X1,X2,X3,X4,X5,X6,X14,X19,X9,X10] :
( ( perp(X4,X1,X2,X3)
& coll(X4,X2,X3)
& perp(X5,X2,X1,X3)
& coll(X5,X1,X3)
& perp(X6,X3,X1,X2)
& coll(X6,X1,X2)
& coll(X14,X2,X5)
& coll(X14,X3,X6)
& midp(X19,X3,X2)
& midp(X9,X5,X2)
& midp(X10,X6,X3) )
=> cyclic(X9,X10,X14,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012003) ).
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(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(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(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(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(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(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(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(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(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(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(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,X5,X6,X14,X19,X9,X10] :
( ( perp(X4,X1,X2,X3)
& coll(X4,X2,X3)
& perp(X5,X2,X1,X3)
& coll(X5,X1,X3)
& perp(X6,X3,X1,X2)
& coll(X6,X1,X2)
& coll(X14,X2,X5)
& coll(X14,X3,X6)
& midp(X19,X3,X2)
& midp(X9,X5,X2)
& midp(X10,X6,X3) )
=> cyclic(X9,X10,X14,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012003]) ).
fof(c_0_17,plain,
! [X580,X581,X582,X583] :
( ~ perp(X580,X581,X582,X583)
| perp(X582,X583,X580,X581) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
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,esk22_0,esk21_0,esk23_0)
& coll(esk25_0,esk21_0,esk23_0)
& perp(esk26_0,esk23_0,esk21_0,esk22_0)
& coll(esk26_0,esk21_0,esk22_0)
& coll(esk27_0,esk22_0,esk25_0)
& coll(esk27_0,esk23_0,esk26_0)
& midp(esk28_0,esk23_0,esk22_0)
& midp(esk29_0,esk25_0,esk22_0)
& midp(esk30_0,esk26_0,esk23_0)
& ~ cyclic(esk29_0,esk30_0,esk27_0,esk24_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_19,plain,
! [X633,X634,X635,X636,X637,X638,X639,X640] :
( ~ eqangle(X633,X634,X635,X636,X637,X638,X639,X640)
| eqangle(X635,X636,X633,X634,X639,X640,X637,X638) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_20,plain,
! [X787,X788,X789,X790,X791,X792] :
( ~ para(X787,X788,X789,X790)
| eqangle(X787,X788,X791,X792,X789,X790,X791,X792) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_21,plain,
! [X576,X577,X578,X579] :
( ~ perp(X576,X577,X578,X579)
| perp(X576,X577,X579,X578) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_22,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
perp(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X781,X782,X783,X784,X785,X786] :
( ~ eqangle(X781,X782,X785,X786,X783,X784,X785,X786)
| para(X781,X782,X783,X784) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_25,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_19]) ).
cnf(c_0_26,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_27,plain,
! [X584,X585,X586,X587,X588,X589] :
( ~ perp(X584,X585,X586,X587)
| ~ perp(X586,X587,X588,X589)
| para(X584,X585,X588,X589) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_28,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
perp(esk22_0,esk23_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
perp(esk22_0,esk23_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_34,plain,
! [X916,X917,X918] :
( ~ para(X916,X917,X916,X918)
| coll(X916,X917,X918) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_35,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( para(X1,X2,esk21_0,esk24_0)
| ~ perp(X1,X2,esk22_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
perp(esk21_0,esk24_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_22,c_0_33]) ).
fof(c_0_38,plain,
! [X555,X556,X557] :
( ~ coll(X555,X556,X557)
| coll(X556,X555,X557) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_39,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
fof(c_0_41,plain,
! [X552,X553,X554] :
( ~ coll(X552,X553,X554)
| coll(X552,X554,X553) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_42,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_44,plain,
! [X801,X802,X803,X804] :
( ~ eqangle(X803,X801,X803,X802,X804,X801,X804,X802)
| ~ coll(X803,X804,X802)
| cyclic(X801,X802,X803,X804) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_45,plain,
! [X558,X559,X560,X561] :
( ~ coll(X558,X559,X560)
| ~ coll(X558,X559,X561)
| coll(X560,X561,X558) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_46,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,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_44]) ).
cnf(c_0_49,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_51,plain,
! [X612,X613,X614,X615] :
( ~ cyclic(X612,X613,X614,X615)
| cyclic(X612,X614,X613,X615) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_52,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_26]) ).
cnf(c_0_53,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_50])]) ).
fof(c_0_54,plain,
! [X608,X609,X610,X611] :
( ~ cyclic(X608,X609,X610,X611)
| cyclic(X608,X609,X611,X610) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_55,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_40])]),c_0_53])]) ).
fof(c_0_57,plain,
! [X616,X617,X618,X619] :
( ~ cyclic(X616,X617,X618,X619)
| cyclic(X617,X616,X618,X619) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_58,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,plain,
! [X620,X621,X622,X623,X624] :
( ~ cyclic(X620,X621,X622,X623)
| ~ cyclic(X620,X621,X622,X624)
| cyclic(X621,X622,X623,X624) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_61,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_64,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
~ cyclic(esk29_0,esk30_0,esk27_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_66,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_64])]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO543+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 : n014.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 18:03:06 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 2.20/1.99 % Version : CSE_E---1.7
% 2.20/1.99 % Problem : theBenchmark.p
% 2.20/1.99 % SZS status Theorem for theBenchmark.p
% 2.20/1.99 % SZS output start CNFRefutation
% See solution above
% 2.20/1.99 % Total time : 1.375s
%------------------------------------------------------------------------------