%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO563+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 : n003.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 04:21:32 PM UTC 2026
% Result : Theorem 2.05s 1.94s
% Output : CNFRefutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 33
% Syntax : Number of formulae : 149 ( 33 unt; 0 def)
% Number of atoms : 342 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 320 ( 127 ~; 124 |; 35 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 633 ( 55 sgn 332 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
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(exemplo6GDDFULL214024,conjecture,
! [X10,X15,X9,X19,X20,X18,X8,X16,X21,X22,X23] :
( ( circle(X19,X10,X15,X9)
& circle(X19,X10,X20,X22)
& coll(X18,X10,X20)
& circle(X8,X18,X9,X10)
& circle(X8,X10,X16,X23)
& coll(X21,X15,X20)
& coll(X21,X18,X16) )
=> eqangle(X15,X21,X21,X16,X15,X9,X9,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214024) ).
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(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(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(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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& coll(X7,X2,X3)
& eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
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(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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
& cong(X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
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(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(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
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(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
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(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(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_33,plain,
! [X589,X590,X591,X592,X593,X594] :
( ~ perp(X589,X590,X591,X592)
| ~ perp(X591,X592,X593,X594)
| para(X589,X590,X593,X594) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_34,plain,
! [X1031,X1032,X1033,X1034] :
( ~ circle(X1034,X1031,X1032,X1033)
| perp(esk12_4(X1031,X1032,X1033,X1034),X1031,X1031,X1034) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_35,plain,
! [X585,X586,X587,X588] :
( ~ perp(X585,X586,X587,X588)
| perp(X587,X588,X585,X586) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_36,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_39,negated_conjecture,
~ ! [X10,X15,X9,X19,X20,X18,X8,X16,X21,X22,X23] :
( ( circle(X19,X10,X15,X9)
& circle(X19,X10,X20,X22)
& coll(X18,X10,X20)
& circle(X8,X18,X9,X10)
& circle(X8,X10,X16,X23)
& coll(X21,X15,X20)
& coll(X21,X18,X16) )
=> eqangle(X15,X21,X21,X16,X15,X9,X9,X16) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214024]) ).
cnf(c_0_40,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
fof(c_0_42,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& circle(esk24_0,esk21_0,esk25_0,esk30_0)
& coll(esk26_0,esk21_0,esk25_0)
& circle(esk27_0,esk26_0,esk23_0,esk21_0)
& circle(esk27_0,esk21_0,esk28_0,esk31_0)
& coll(esk29_0,esk22_0,esk25_0)
& coll(esk29_0,esk26_0,esk28_0)
& ~ eqangle(esk22_0,esk29_0,esk29_0,esk28_0,esk22_0,esk23_0,esk23_0,esk28_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_43,plain,
! [X567,X568,X569,X570] :
( ~ para(X567,X568,X569,X570)
| para(X567,X568,X570,X569) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_44,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
circle(esk27_0,esk26_0,esk23_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_46,plain,
! [X638,X639,X640,X641,X642,X643,X644,X645] :
( ~ eqangle(X638,X639,X640,X641,X642,X643,X644,X645)
| eqangle(X640,X641,X638,X639,X644,X645,X642,X643) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_47,plain,
! [X792,X793,X794,X795,X796,X797] :
( ~ para(X792,X793,X794,X795)
| eqangle(X792,X793,X796,X797,X794,X795,X796,X797) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_48,plain,
! [X571,X572,X573,X574] :
( ~ para(X571,X572,X573,X574)
| para(X573,X574,X571,X572) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_49,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,negated_conjecture,
para(esk26_0,esk27_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_51,plain,
! [X786,X787,X788,X789,X790,X791] :
( ~ eqangle(X786,X787,X790,X791,X788,X789,X790,X791)
| para(X786,X787,X788,X789) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_52,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_46]) ).
cnf(c_0_53,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,negated_conjecture,
para(esk26_0,esk27_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
para(esk27_0,esk26_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_59,plain,
! [X921,X922,X923] :
( ~ para(X921,X922,X921,X923)
| coll(X921,X922,X923) ),
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_56,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
para(esk27_0,esk26_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_49,c_0_58]) ).
fof(c_0_62,plain,
! [X560,X561,X562] :
( ~ coll(X560,X561,X562)
| coll(X561,X560,X562) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_63,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_65,plain,
! [X806,X807,X808,X809] :
( ~ eqangle(X808,X806,X808,X807,X809,X806,X809,X807)
| ~ coll(X808,X809,X807)
| cyclic(X806,X807,X808,X809) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_66,plain,
! [X557,X558,X559] :
( ~ coll(X557,X558,X559)
| coll(X557,X559,X558) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_67,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,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_65]) ).
cnf(c_0_70,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_72,plain,
! [X617,X618,X619,X620] :
( ~ cyclic(X617,X618,X619,X620)
| cyclic(X617,X619,X618,X620) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_73,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_53]) ).
cnf(c_0_74,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_75,plain,
! [X613,X614,X615,X616] :
( ~ cyclic(X613,X614,X615,X616)
| cyclic(X613,X614,X616,X615) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_76,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_64])]),c_0_74])]) ).
fof(c_0_78,plain,
! [X847,X848,X849,X850,X851] :
( ~ circle(X850,X847,X848,X849)
| ~ coll(X851,X848,X849)
| ~ eqangle(X847,X848,X847,X849,X850,X848,X850,X851)
| midp(X851,X848,X849) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_79,plain,
! [X798,X799,X800,X801] :
( ~ cyclic(X798,X799,X800,X801)
| eqangle(X800,X798,X800,X799,X801,X798,X801,X799) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_80,plain,
! [X621,X622,X623,X624] :
( ~ cyclic(X621,X622,X623,X624)
| cyclic(X622,X621,X623,X624) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_81,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
( midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X5,X3,X4)
| ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_84,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
fof(c_0_85,plain,
! [X625,X626,X627,X628,X629] :
( ~ cyclic(X625,X626,X627,X628)
| ~ cyclic(X625,X626,X627,X629)
| cyclic(X626,X627,X628,X629) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_86,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_89,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_90,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_91,plain,
! [X810,X811,X812,X813,X814,X815] :
( ~ cyclic(X810,X811,X812,X813)
| ~ cyclic(X810,X811,X812,X814)
| ~ cyclic(X810,X811,X812,X815)
| ~ eqangle(X812,X810,X812,X811,X815,X813,X815,X814)
| cong(X810,X811,X813,X814) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
cnf(c_0_92,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_71])]) ).
cnf(c_0_93,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_90])]) ).
cnf(c_0_94,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_91]) ).
fof(c_0_95,plain,
! [X601,X602,X603] :
( ~ midp(X603,X602,X601)
| midp(X603,X601,X602) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_96,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).
fof(c_0_97,plain,
! [X563,X564,X565,X566] :
( ~ coll(X563,X564,X565)
| ~ coll(X563,X564,X566)
| coll(X565,X566,X563) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_98,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_94,c_0_53]) ).
fof(c_0_99,plain,
! [X963,X964,X965,X966,X967,X968,X969,X970] :
( ~ eqratio(X963,X964,X965,X966,X967,X968,X969,X970)
| ~ cong(X967,X968,X969,X970)
| cong(X963,X964,X965,X966) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_100,plain,
! [X933,X934,X935,X936,X937,X938] :
( ~ midp(X937,X933,X934)
| ~ midp(X938,X935,X936)
| eqratio(X937,X933,X933,X934,X938,X935,X935,X936) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
fof(c_0_101,plain,
! [X927,X928,X929] :
( ~ midp(X927,X928,X929)
| cong(X927,X928,X927,X929) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_102,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_103,negated_conjecture,
midp(esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_96,c_0_45]) ).
fof(c_0_104,plain,
! [X924,X925,X926] :
( ~ cong(X924,X925,X924,X926)
| ~ coll(X924,X925,X926)
| midp(X924,X925,X926) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_105,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_106,plain,
( cong(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X4,X3)
| ~ para(X4,X1,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_77])]),c_0_82])]) ).
cnf(c_0_107,plain,
( cong(X1,X2,X3,X4)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ cong(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_108,plain,
( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_109,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_110,negated_conjecture,
midp(esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_111,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_112,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_74]),c_0_74])]) ).
cnf(c_0_113,plain,
( cong(X1,X2,X3,X2)
| ~ para(X4,X1,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_93])]) ).
cnf(c_0_114,plain,
( cong(X1,X2,X2,X3)
| ~ cong(X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_115,negated_conjecture,
cong(esk21_0,esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_116,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]) ).
cnf(c_0_117,negated_conjecture,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_113,c_0_64]) ).
fof(c_0_118,plain,
! [X678,X679,X680,X681] :
( ~ cong(X678,X679,X680,X681)
| cong(X680,X681,X678,X679) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_119,negated_conjecture,
( cong(X1,X2,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_110])]) ).
cnf(c_0_120,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
fof(c_0_121,plain,
! [X826,X827,X828] :
( ~ cong(X828,X826,X828,X827)
| eqangle(X828,X826,X826,X827,X826,X827,X828,X827) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_122,plain,
! [X674,X675,X676,X677] :
( ~ cong(X674,X675,X676,X677)
| cong(X674,X675,X677,X676) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_123,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_124,negated_conjecture,
cong(X1,X2,X2,X2),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_126,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_127,negated_conjecture,
cong(X1,X1,X2,X1),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_128,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_125]) ).
cnf(c_0_129,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
fof(c_0_130,plain,
! [X911,X912,X913,X914,X915] :
( ~ midp(X915,X911,X912)
| ~ para(X911,X913,X912,X914)
| ~ para(X911,X914,X912,X913)
| midp(X915,X913,X914) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_131,plain,
para(X1,X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129])]) ).
fof(c_0_132,plain,
! [X816,X817,X818,X819,X820] :
( ~ midp(X819,X816,X817)
| ~ midp(X820,X816,X818)
| para(X819,X820,X817,X818) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_133,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_130]) ).
cnf(c_0_134,plain,
para(X1,X2,X1,X1),
inference(spm,[status(thm)],[c_0_54,c_0_131]) ).
cnf(c_0_135,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_136,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_120]),c_0_131])]) ).
fof(c_0_137,plain,
! [X654,X655,X656,X657,X658,X659,X660,X661] :
( ~ eqangle(X654,X655,X656,X657,X658,X659,X660,X661)
| eqangle(X654,X655,X658,X659,X656,X657,X660,X661) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_138,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136]),c_0_136])]) ).
cnf(c_0_139,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
fof(c_0_140,plain,
! [X662,X663,X664,X665,X666,X667,X668,X669,X670,X671,X672,X673] :
( ~ eqangle(X662,X663,X664,X665,X666,X667,X668,X669)
| ~ eqangle(X666,X667,X668,X669,X670,X671,X672,X673)
| eqangle(X662,X663,X664,X665,X670,X671,X672,X673) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_141,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_138])]) ).
cnf(c_0_142,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_139,c_0_53]) ).
cnf(c_0_143,plain,
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_144,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_139,c_0_141]) ).
cnf(c_0_145,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_138])]) ).
cnf(c_0_146,negated_conjecture,
~ eqangle(esk22_0,esk29_0,esk29_0,esk28_0,esk22_0,esk23_0,esk23_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_147,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).
cnf(c_0_148,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO563+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 : n003.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 18:02:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.05/1.94 % Version : CSE_E---1.7
% 2.05/1.94 % Problem : theBenchmark.p
% 2.05/1.94 % SZS status Theorem for theBenchmark.p
% 2.05/1.94 % SZS output start CNFRefutation
% See solution above
% 2.05/1.95 % Total time : 1.369s
%------------------------------------------------------------------------------