%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO568+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 04:21:33 PM UTC 2026
% Result : Theorem 2.34s 2.00s
% Output : CNFRefutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 27
% Syntax : Number of formulae : 123 ( 24 unt; 0 def)
% Number of atoms : 318 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 317 ( 122 ~; 119 |; 48 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-6 aty)
% Number of variables : 488 ( 35 sgn 252 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(exemplo6GDDFULL214030,conjecture,
! [X1,X2,X3,X8,X4,X5,X19,X20,X21] :
( ( midp(X19,X1,X2)
& perp(X1,X2,X19,X8)
& midp(X20,X1,X3)
& perp(X1,X3,X20,X8)
& midp(X21,X2,X3)
& perp(X2,X3,X21,X8)
& perp(X4,X3,X1,X2)
& coll(X4,X1,X2)
& perp(X5,X2,X1,X3)
& coll(X5,X1,X3) )
=> perp(X1,X8,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214030) ).
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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( cyclic(X1,X2,X3,X9)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X15)
& eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(ruleD54,axiom,
! [X1,X2,X3,X4] :
( ( cyclic(X1,X2,X3,X4)
& para(X1,X2,X3,X4) )
=> eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD54) ).
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(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
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(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
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(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(c_0_27,plain,
! [X902,X903,X904,X905,X906] :
( ~ midp(X906,X902,X903)
| ~ midp(X906,X904,X905)
| para(X902,X904,X903,X905) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_28,plain,
! [X993,X994,X995,X996,X997,X998] :
( ( midp(esk6_6(X993,X994,X995,X996,X997,X998),X993,X996)
| ~ midp(X997,X993,X994)
| ~ midp(X998,X995,X996) )
& ( para(esk6_6(X993,X994,X995,X996,X997,X998),X997,X994,X996)
| ~ midp(X997,X993,X994)
| ~ midp(X998,X995,X996) )
& ( para(esk6_6(X993,X994,X995,X996,X997,X998),X998,X993,X995)
| ~ midp(X997,X993,X994)
| ~ midp(X998,X995,X996) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
cnf(c_0_29,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_30,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_31,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X5,X19,X20,X21] :
( ( midp(X19,X1,X2)
& perp(X1,X2,X19,X8)
& midp(X20,X1,X3)
& perp(X1,X3,X20,X8)
& midp(X21,X2,X3)
& perp(X2,X3,X21,X8)
& perp(X4,X3,X1,X2)
& coll(X4,X1,X2)
& perp(X5,X2,X1,X3)
& coll(X5,X1,X3) )
=> perp(X1,X8,X4,X5) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214030]) ).
fof(c_0_32,plain,
! [X634,X635,X636,X637,X638,X639,X640,X641] :
( ~ eqangle(X634,X635,X636,X637,X638,X639,X640,X641)
| eqangle(X636,X637,X634,X635,X640,X641,X638,X639) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_33,plain,
! [X788,X789,X790,X791,X792,X793] :
( ~ para(X788,X789,X790,X791)
| eqangle(X788,X789,X792,X793,X790,X791,X792,X793) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_34,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X8,X6,X4)
| ~ midp(X7,X2,X5) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_35,negated_conjecture,
( midp(esk27_0,esk21_0,esk22_0)
& perp(esk21_0,esk22_0,esk27_0,esk24_0)
& midp(esk28_0,esk21_0,esk23_0)
& perp(esk21_0,esk23_0,esk28_0,esk24_0)
& midp(esk29_0,esk22_0,esk23_0)
& perp(esk22_0,esk23_0,esk29_0,esk24_0)
& perp(esk25_0,esk23_0,esk21_0,esk22_0)
& coll(esk25_0,esk21_0,esk22_0)
& perp(esk26_0,esk22_0,esk21_0,esk23_0)
& coll(esk26_0,esk21_0,esk23_0)
& ~ perp(esk21_0,esk24_0,esk25_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_36,plain,
! [X597,X598,X599] :
( ~ midp(X599,X598,X597)
| midp(X599,X597,X598) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_37,plain,
! [X782,X783,X784,X785,X786,X787] :
( ~ eqangle(X782,X783,X786,X787,X784,X785,X786,X787)
| para(X782,X783,X784,X785) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_38,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_32]) ).
cnf(c_0_39,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_34,c_0_30]) ).
cnf(c_0_41,negated_conjecture,
midp(esk29_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
( para(X1,X1,esk23_0,esk23_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
midp(esk29_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
fof(c_0_47,plain,
! [X917,X918,X919] :
( ~ para(X917,X918,X917,X919)
| coll(X917,X918,X919) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_48,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
para(esk23_0,esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X556,X557,X558] :
( ~ coll(X556,X557,X558)
| coll(X557,X556,X558) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_51,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,plain,
! [X553,X554,X555] :
( ~ coll(X553,X554,X555)
| coll(X553,X555,X554) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_54,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X802,X803,X804,X805] :
( ~ eqangle(X804,X802,X804,X803,X805,X802,X805,X803)
| ~ coll(X804,X805,X803)
| cyclic(X802,X803,X804,X805) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_57,plain,
! [X559,X560,X561,X562] :
( ~ coll(X559,X560,X561)
| ~ coll(X559,X560,X562)
| coll(X561,X562,X559) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_58,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,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_56]) ).
cnf(c_0_61,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_63,plain,
! [X613,X614,X615,X616] :
( ~ cyclic(X613,X614,X615,X616)
| cyclic(X613,X615,X614,X616) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_64,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_39]) ).
cnf(c_0_65,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_62])]) ).
fof(c_0_66,plain,
! [X609,X610,X611,X612] :
( ~ cyclic(X609,X610,X611,X612)
| cyclic(X609,X610,X612,X611) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_67,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_52])]),c_0_65])]) ).
fof(c_0_69,plain,
! [X617,X618,X619,X620] :
( ~ cyclic(X617,X618,X619,X620)
| cyclic(X618,X617,X619,X620) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_70,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_72,plain,
! [X806,X807,X808,X809,X810,X811] :
( ~ cyclic(X806,X807,X808,X809)
| ~ cyclic(X806,X807,X808,X810)
| ~ cyclic(X806,X807,X808,X811)
| ~ eqangle(X808,X806,X808,X807,X811,X809,X811,X810)
| cong(X806,X807,X809,X810) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_73,plain,
! [X856,X857,X858,X859] :
( ~ cyclic(X856,X857,X858,X859)
| ~ para(X856,X857,X858,X859)
| eqangle(X856,X859,X858,X859,X858,X859,X858,X857) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).
fof(c_0_74,plain,
! [X621,X622,X623,X624,X625] :
( ~ cyclic(X621,X622,X623,X624)
| ~ cyclic(X621,X622,X623,X625)
| cyclic(X622,X623,X624,X625) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_75,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_76,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,plain,
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X6)
| ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_78,plain,
( eqangle(X1,X4,X3,X4,X3,X4,X3,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_79,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_80,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_81,plain,
! [X920,X921,X922] :
( ~ cong(X920,X921,X920,X922)
| ~ coll(X920,X921,X922)
| midp(X920,X921,X922) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_82,plain,
( cong(X1,X1,X1,X2)
| ~ cyclic(X1,X1,X3,X3)
| ~ cyclic(X1,X1,X3,X2)
| ~ cyclic(X1,X1,X3,X1)
| ~ cyclic(X3,X2,X3,X1)
| ~ para(X3,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_80])]) ).
fof(c_0_84,plain,
! [X817,X818,X819,X820,X821] :
( ~ midp(X820,X817,X818)
| ~ para(X820,X821,X818,X819)
| ~ coll(X821,X817,X819)
| midp(X821,X817,X819) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_85,plain,
! [X563,X564,X565,X566] :
( ~ para(X563,X564,X565,X566)
| para(X563,X564,X566,X565) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
fof(c_0_86,plain,
! [X907,X908,X909,X910,X911] :
( ~ midp(X911,X907,X908)
| ~ para(X907,X909,X908,X910)
| ~ para(X907,X910,X908,X909)
| midp(X911,X909,X910) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_87,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_88,plain,
( cong(X1,X1,X1,X2)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_68])]),c_0_83]),c_0_83]),c_0_83])]) ).
fof(c_0_89,plain,
! [X943,X944,X945,X946,X947,X948,X949,X950] :
( ~ eqangle(X943,X944,X945,X946,X947,X948,X949,X950)
| ~ para(X947,X948,X949,X950)
| para(X943,X944,X945,X946) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_90,plain,
! [X794,X795,X796,X797] :
( ~ cyclic(X794,X795,X796,X797)
| eqangle(X796,X794,X796,X795,X797,X794,X797,X795) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_91,plain,
( midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| ~ para(X1,X4,X3,X5)
| ~ coll(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_92,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_93,plain,
( midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| ~ para(X2,X4,X3,X5)
| ~ para(X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_94,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_65])]) ).
cnf(c_0_95,negated_conjecture,
cong(X1,X1,X1,X1),
inference(spm,[status(thm)],[c_0_88,c_0_52]) ).
cnf(c_0_96,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_97,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
fof(c_0_98,plain,
! [X822,X823,X824] :
( ~ cong(X824,X822,X824,X823)
| eqangle(X824,X822,X822,X823,X822,X823,X824,X823) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_99,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_65])]) ).
cnf(c_0_100,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_92,c_0_52]) ).
cnf(c_0_101,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_52]),c_0_52])]) ).
cnf(c_0_102,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_103,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_104,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_105,plain,
! [X923,X924,X925] :
( ~ midp(X923,X924,X925)
| cong(X923,X924,X923,X925) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_106,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_83])]) ).
cnf(c_0_109,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_104]) ).
cnf(c_0_110,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_111,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_112,plain,
( cong(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X4,X4)
| ~ cyclic(X1,X2,X4,X2)
| ~ cyclic(X1,X2,X4,X3)
| ~ para(X4,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_77,c_0_39]) ).
cnf(c_0_113,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_114,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
fof(c_0_115,plain,
! [X864,X865,X866,X867] :
( ~ cong(X864,X866,X865,X866)
| ~ cong(X864,X867,X865,X867)
| perp(X864,X865,X866,X867) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_116,plain,
( cong(X1,X2,X3,X2)
| ~ para(X4,X1,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_68])]),c_0_83]),c_0_83])]) ).
cnf(c_0_117,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114])]) ).
cnf(c_0_118,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_119,plain,
cong(X1,X2,X3,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]) ).
cnf(c_0_120,negated_conjecture,
~ perp(esk21_0,esk24_0,esk25_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_121,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119]),c_0_119])]) ).
cnf(c_0_122,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO568+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 18:04:42 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 2.34/2.00 % Version : CSE_E---1.7
% 2.34/2.00 % Problem : theBenchmark.p
% 2.34/2.00 % SZS status Theorem for theBenchmark.p
% 2.34/2.00 % SZS output start CNFRefutation
% See solution above
% 2.34/2.01 % Total time : 1.373s
%------------------------------------------------------------------------------