%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO650+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 : n028.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 04:21:48 PM UTC 2026
% Result : Theorem 3.30s 3.02s
% Output : CNFRefutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 26
% Syntax : Number of formulae : 117 ( 24 unt; 0 def)
% Number of atoms : 295 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 283 ( 105 ~; 102 |; 49 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 462 ( 31 sgn 248 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE02211,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
( ( midp(X19,X1,X2)
& perp(X1,X2,X19,X4)
& midp(X20,X1,X3)
& perp(X1,X3,X20,X4)
& midp(X21,X2,X3)
& perp(X2,X3,X21,X4)
& perp(X3,X4,X3,X5)
& perp(X2,X4,X2,X5)
& perp(X6,X4,X1,X2)
& coll(X6,X1,X2)
& coll(X13,X4,X6)
& coll(X13,X1,X3) )
=> para(X13,X5,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02211) ).
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(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(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(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(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(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
( ( midp(X19,X1,X2)
& perp(X1,X2,X19,X4)
& midp(X20,X1,X3)
& perp(X1,X3,X20,X4)
& midp(X21,X2,X3)
& perp(X2,X3,X21,X4)
& perp(X3,X4,X3,X5)
& perp(X2,X4,X2,X5)
& perp(X6,X4,X1,X2)
& coll(X6,X1,X2)
& coll(X13,X4,X6)
& coll(X13,X1,X3) )
=> para(X13,X5,X1,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02211]) ).
fof(c_0_27,plain,
! [X635,X636,X637,X638,X639,X640,X641,X642] :
( ~ eqangle(X635,X636,X637,X638,X639,X640,X641,X642)
| eqangle(X637,X638,X635,X636,X641,X642,X639,X640) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_28,plain,
! [X789,X790,X791,X792,X793,X794] :
( ~ para(X789,X790,X791,X792)
| eqangle(X789,X790,X793,X794,X791,X792,X793,X794) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_29,plain,
! [X582,X583,X584,X585] :
( ~ perp(X582,X583,X584,X585)
| perp(X584,X585,X582,X583) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_30,negated_conjecture,
( midp(esk28_0,esk21_0,esk22_0)
& perp(esk21_0,esk22_0,esk28_0,esk24_0)
& midp(esk29_0,esk21_0,esk23_0)
& perp(esk21_0,esk23_0,esk29_0,esk24_0)
& midp(esk30_0,esk22_0,esk23_0)
& perp(esk22_0,esk23_0,esk30_0,esk24_0)
& perp(esk23_0,esk24_0,esk23_0,esk25_0)
& perp(esk22_0,esk24_0,esk22_0,esk25_0)
& perp(esk26_0,esk24_0,esk21_0,esk22_0)
& coll(esk26_0,esk21_0,esk22_0)
& coll(esk27_0,esk24_0,esk26_0)
& coll(esk27_0,esk21_0,esk23_0)
& ~ para(esk27_0,esk25_0,esk21_0,esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_31,plain,
! [X783,X784,X785,X786,X787,X788] :
( ~ eqangle(X783,X784,X787,X788,X785,X786,X787,X788)
| para(X783,X784,X785,X786) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_32,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_27]) ).
cnf(c_0_33,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X586,X587,X588,X589,X590,X591] :
( ~ perp(X586,X587,X588,X589)
| ~ perp(X588,X589,X590,X591)
| para(X586,X587,X590,X591) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
perp(esk26_0,esk24_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,negated_conjecture,
perp(esk21_0,esk22_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_41,plain,
! [X918,X919,X920] :
( ~ para(X918,X919,X918,X920)
| coll(X918,X919,X920) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_42,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( para(X1,X2,esk26_0,esk24_0)
| ~ perp(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_44,plain,
! [X557,X558,X559] :
( ~ coll(X557,X558,X559)
| coll(X558,X557,X559) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_45,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_46,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_36])]) ).
fof(c_0_47,plain,
! [X554,X555,X556] :
( ~ coll(X554,X555,X556)
| coll(X554,X556,X555) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_48,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X803,X804,X805,X806] :
( ~ eqangle(X805,X803,X805,X804,X806,X803,X806,X804)
| ~ coll(X805,X806,X804)
| cyclic(X803,X804,X805,X806) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_51,plain,
! [X560,X561,X562,X563] :
( ~ coll(X560,X561,X562)
| ~ coll(X560,X561,X563)
| coll(X562,X563,X560) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_52,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,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_50]) ).
cnf(c_0_55,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_57,plain,
! [X614,X615,X616,X617] :
( ~ cyclic(X614,X615,X616,X617)
| cyclic(X614,X616,X615,X617) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_58,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_33]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_56])]) ).
fof(c_0_60,plain,
! [X610,X611,X612,X613] :
( ~ cyclic(X610,X611,X612,X613)
| cyclic(X610,X611,X613,X612) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_61,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_46])]),c_0_59])]) ).
fof(c_0_63,plain,
! [X618,X619,X620,X621] :
( ~ cyclic(X618,X619,X620,X621)
| cyclic(X619,X618,X620,X621) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_64,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_66,plain,
! [X807,X808,X809,X810,X811,X812] :
( ~ cyclic(X807,X808,X809,X810)
| ~ cyclic(X807,X808,X809,X811)
| ~ cyclic(X807,X808,X809,X812)
| ~ eqangle(X809,X807,X809,X808,X812,X810,X812,X811)
| cong(X807,X808,X810,X811) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_67,plain,
! [X857,X858,X859,X860] :
( ~ cyclic(X857,X858,X859,X860)
| ~ para(X857,X858,X859,X860)
| eqangle(X857,X860,X859,X860,X859,X860,X859,X858) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).
fof(c_0_68,plain,
! [X622,X623,X624,X625,X626] :
( ~ cyclic(X622,X623,X624,X625)
| ~ cyclic(X622,X623,X624,X626)
| cyclic(X623,X624,X625,X626) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_69,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,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_66]) ).
cnf(c_0_72,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_67]) ).
cnf(c_0_73,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_75,plain,
! [X921,X922,X923] :
( ~ cong(X921,X922,X921,X923)
| ~ coll(X921,X922,X923)
| midp(X921,X922,X923) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_76,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_71,c_0_72]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_74])]) ).
fof(c_0_78,plain,
! [X818,X819,X820,X821,X822] :
( ~ midp(X821,X818,X819)
| ~ para(X821,X822,X819,X820)
| ~ coll(X822,X818,X820)
| midp(X822,X818,X820) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_79,plain,
! [X564,X565,X566,X567] :
( ~ para(X564,X565,X566,X567)
| para(X564,X565,X567,X566) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
fof(c_0_80,plain,
! [X908,X909,X910,X911,X912] :
( ~ midp(X912,X908,X909)
| ~ para(X908,X910,X909,X911)
| ~ para(X908,X911,X909,X910)
| midp(X912,X910,X911) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_81,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,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_76,c_0_62])]),c_0_77]),c_0_77]),c_0_77])]) ).
fof(c_0_83,plain,
! [X944,X945,X946,X947,X948,X949,X950,X951] :
( ~ eqangle(X944,X945,X946,X947,X948,X949,X950,X951)
| ~ para(X948,X949,X950,X951)
| para(X944,X945,X946,X947) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_84,plain,
! [X795,X796,X797,X798] :
( ~ cyclic(X795,X796,X797,X798)
| eqangle(X797,X795,X797,X796,X798,X795,X798,X796) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_85,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_78]) ).
cnf(c_0_86,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_87,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_80]) ).
cnf(c_0_88,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_59])]) ).
cnf(c_0_89,negated_conjecture,
cong(X1,X1,X1,X1),
inference(spm,[status(thm)],[c_0_82,c_0_46]) ).
cnf(c_0_90,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_83]) ).
cnf(c_0_91,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
fof(c_0_92,plain,
! [X823,X824,X825] :
( ~ cong(X825,X823,X825,X824)
| eqangle(X825,X823,X823,X824,X823,X824,X825,X824) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_93,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_59])]) ).
cnf(c_0_94,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_86,c_0_46]) ).
cnf(c_0_95,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_46]),c_0_46])]) ).
cnf(c_0_96,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_97,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_99,plain,
! [X924,X925,X926] :
( ~ midp(X924,X925,X926)
| cong(X924,X925,X924,X926) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_100,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_77])]) ).
cnf(c_0_103,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_98]) ).
cnf(c_0_104,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_46]) ).
fof(c_0_109,plain,
! [X813,X814,X815,X816,X817] :
( ~ midp(X816,X813,X814)
| ~ midp(X817,X813,X815)
| para(X816,X817,X814,X815) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_110,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).
cnf(c_0_111,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_108,c_0_101]) ).
cnf(c_0_112,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_113,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_110]),c_0_111])]) ).
cnf(c_0_114,negated_conjecture,
~ para(esk27_0,esk25_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_115,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113]),c_0_113])]) ).
cnf(c_0_116,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO650+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
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:05:16 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.30/3.02 % Version : CSE_E---1.7
% 3.30/3.02 % Problem : theBenchmark.p
% 3.30/3.02 % SZS status Theorem for theBenchmark.p
% 3.30/3.02 % SZS output start CNFRefutation
% See solution above
% 3.42/3.02 % Total time : 2.374s
%------------------------------------------------------------------------------