%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO608+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 : n006.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 04:21:40 PM UTC 2026
% Result : Theorem 2.02s 1.93s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 28
% Syntax : Number of formulae : 162 ( 57 unt; 0 def)
% Number of atoms : 329 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 276 ( 109 ~; 106 |; 32 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 492 ( 17 sgn 270 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618070,conjecture,
! [X9,X1,X2,X8,X19,X20,X21,X22,X23,X24,X25] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X22,X23)
& coll(X19,X9,X1)
& circle(X8,X1,X19,X24)
& coll(X20,X9,X2)
& circle(X8,X1,X20,X25)
& circle(X21,X9,X19,X20) )
=> perp(X8,X19,X19,X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618070) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(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(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(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(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(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(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(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(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(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(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(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(ruleD53,axiom,
! [X1,X2,X3,X8] :
( ( circle(X8,X1,X2,X3)
& coll(X8,X1,X3) )
=> perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X2)
& cong(X8,X1,X8,X3) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(c_0_28,negated_conjecture,
~ ! [X9,X1,X2,X8,X19,X20,X21,X22,X23,X24,X25] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X22,X23)
& coll(X19,X9,X1)
& circle(X8,X1,X19,X24)
& coll(X20,X9,X2)
& circle(X8,X1,X20,X25)
& circle(X21,X9,X19,X20) )
=> perp(X8,X19,X19,X21) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618070]) ).
fof(c_0_29,plain,
! [X932,X933,X934] :
( ~ midp(X932,X933,X934)
| coll(X932,X933,X934) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_30,negated_conjecture,
( midp(esk24_0,esk23_0,esk22_0)
& circle(esk24_0,esk22_0,esk28_0,esk29_0)
& coll(esk25_0,esk21_0,esk22_0)
& circle(esk24_0,esk22_0,esk25_0,esk30_0)
& coll(esk26_0,esk21_0,esk23_0)
& circle(esk24_0,esk22_0,esk26_0,esk31_0)
& circle(esk27_0,esk21_0,esk25_0,esk26_0)
& ~ perp(esk24_0,esk25_0,esk25_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_31,plain,
! [X562,X563,X564] :
( ~ coll(X562,X563,X564)
| coll(X563,X562,X564) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_32,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
midp(esk24_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_34,plain,
! [X591,X592,X593,X594,X595,X596] :
( ~ perp(X591,X592,X593,X594)
| ~ perp(X593,X594,X595,X596)
| para(X591,X592,X595,X596) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_35,plain,
! [X1033,X1034,X1035,X1036] :
( ~ circle(X1036,X1033,X1034,X1035)
| perp(esk12_4(X1033,X1034,X1035,X1036),X1033,X1033,X1036) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_36,plain,
! [X587,X588,X589,X590] :
( ~ perp(X587,X588,X589,X590)
| perp(X589,X590,X587,X588) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_37,plain,
! [X559,X560,X561] :
( ~ coll(X559,X560,X561)
| coll(X559,X561,X560) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_38,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
coll(esk24_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,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_41,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_43,plain,
! [X929,X930,X931] :
( ~ midp(X929,X930,X931)
| cong(X929,X930,X929,X931) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_44,plain,
! [X565,X566,X567,X568] :
( ~ coll(X565,X566,X567)
| ~ coll(X565,X566,X568)
| coll(X567,X568,X565) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_45,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,negated_conjecture,
coll(esk23_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,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_40,c_0_41]) ).
cnf(c_0_48,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
fof(c_0_49,plain,
! [X676,X677,X678,X679] :
( ~ cong(X676,X677,X678,X679)
| cong(X676,X677,X679,X678) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_50,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,negated_conjecture,
coll(esk23_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_53,plain,
! [X569,X570,X571,X572] :
( ~ para(X569,X570,X571,X572)
| para(X569,X570,X572,X571) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_54,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,negated_conjecture,
circle(esk24_0,esk22_0,esk28_0,esk29_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_56,plain,
! [X684,X685,X686,X687,X688,X689] :
( ~ cong(X684,X685,X686,X687)
| ~ cong(X686,X687,X688,X689)
| cong(X684,X685,X688,X689) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
fof(c_0_57,plain,
! [X680,X681,X682,X683] :
( ~ cong(X680,X681,X682,X683)
| cong(X682,X683,X680,X681) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_58,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_59,negated_conjecture,
cong(esk24_0,esk23_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_50,c_0_33]) ).
cnf(c_0_60,negated_conjecture,
( coll(X1,esk24_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_61,plain,
! [X603,X604,X605] :
( ~ midp(X605,X604,X603)
| midp(X605,X603,X604) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_62,plain,
! [X573,X574,X575,X576] :
( ~ para(X573,X574,X575,X576)
| para(X575,X576,X573,X574) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_63,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,negated_conjecture,
para(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_66,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_67,negated_conjecture,
cong(esk24_0,esk23_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
coll(esk24_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_60,c_0_52]) ).
cnf(c_0_69,negated_conjecture,
circle(esk27_0,esk21_0,esk25_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_70,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,negated_conjecture,
( coll(X1,esk22_0,esk24_0)
| ~ coll(esk24_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_39]) ).
cnf(c_0_72,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_73,negated_conjecture,
para(esk22_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
( cong(X1,X2,esk24_0,esk22_0)
| ~ cong(X1,X2,esk24_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_75,negated_conjecture,
cong(esk22_0,esk24_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_76,negated_conjecture,
coll(esk24_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_45,c_0_68]) ).
fof(c_0_77,plain,
! [X640,X641,X642,X643,X644,X645,X646,X647] :
( ~ eqangle(X640,X641,X642,X643,X644,X645,X646,X647)
| eqangle(X642,X643,X640,X641,X646,X647,X644,X645) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_78,plain,
! [X794,X795,X796,X797,X798,X799] :
( ~ para(X794,X795,X796,X797)
| eqangle(X794,X795,X798,X799,X796,X797,X798,X799) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_79,negated_conjecture,
para(esk21_0,esk27_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_54,c_0_69]) ).
fof(c_0_80,plain,
! [X913,X914,X915,X916,X917] :
( ~ midp(X917,X913,X914)
| ~ para(X913,X915,X914,X916)
| ~ para(X913,X916,X914,X915)
| midp(X917,X915,X916) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_81,negated_conjecture,
midp(esk24_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_70,c_0_33]) ).
cnf(c_0_82,negated_conjecture,
coll(esk22_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_71,c_0_39]) ).
cnf(c_0_83,negated_conjecture,
para(esk24_0,esk22_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_84,plain,
! [X926,X927,X928] :
( ~ cong(X926,X927,X926,X928)
| ~ coll(X926,X927,X928)
| midp(X926,X927,X928) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_85,negated_conjecture,
cong(esk22_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_86,negated_conjecture,
coll(esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_71,c_0_76]) ).
fof(c_0_87,plain,
! [X788,X789,X790,X791,X792,X793] :
( ~ eqangle(X788,X789,X792,X793,X790,X791,X792,X793)
| para(X788,X789,X790,X791) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_88,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_77]) ).
cnf(c_0_89,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_90,negated_conjecture,
para(esk21_0,esk27_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_63,c_0_79]) ).
cnf(c_0_91,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_92,negated_conjecture,
cong(esk24_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_50,c_0_81]) ).
cnf(c_0_93,negated_conjecture,
coll(esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_45,c_0_82]) ).
cnf(c_0_94,negated_conjecture,
para(esk24_0,esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_63,c_0_83]) ).
cnf(c_0_95,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_96,negated_conjecture,
cong(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_58,c_0_85]) ).
cnf(c_0_97,negated_conjecture,
coll(esk22_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_38,c_0_86]) ).
cnf(c_0_98,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_99,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
para(esk27_0,esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_72,c_0_90]) ).
cnf(c_0_101,negated_conjecture,
( midp(X1,esk24_0,esk24_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_64]),c_0_64])]) ).
cnf(c_0_102,negated_conjecture,
cong(esk24_0,esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_74,c_0_92]) ).
cnf(c_0_103,negated_conjecture,
coll(esk24_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_38,c_0_93]) ).
fof(c_0_104,plain,
! [X965,X966,X967,X968,X969,X970,X971,X972] :
( ~ eqratio(X965,X966,X967,X968,X969,X970,X971,X972)
| ~ cong(X969,X970,X971,X972)
| cong(X965,X966,X967,X968) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_105,plain,
! [X935,X936,X937,X938,X939,X940] :
( ~ midp(X939,X935,X936)
| ~ midp(X940,X937,X938)
| eqratio(X939,X935,X935,X936,X940,X937,X937,X938) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_106,negated_conjecture,
( midp(X1,esk22_0,esk22_0)
| ~ midp(X1,esk24_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_94]),c_0_94])]) ).
cnf(c_0_107,negated_conjecture,
midp(esk22_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]) ).
cnf(c_0_108,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_109,negated_conjecture,
para(esk27_0,esk21_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_63,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
( cong(X1,esk24_0,X1,esk24_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_101]) ).
cnf(c_0_111,negated_conjecture,
midp(esk24_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_102]),c_0_103])]) ).
cnf(c_0_112,negated_conjecture,
( coll(X1,esk24_0,esk24_0)
| ~ coll(esk24_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_76]) ).
fof(c_0_113,plain,
! [X923,X924,X925] :
( ~ para(X923,X924,X923,X925)
| coll(X923,X924,X925) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_114,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_104]) ).
cnf(c_0_115,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_105]) ).
cnf(c_0_116,negated_conjecture,
midp(esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_117,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_118,negated_conjecture,
cong(esk24_0,esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_119,negated_conjecture,
coll(esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_112,c_0_76]) ).
cnf(c_0_120,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_121,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_114,c_0_115]) ).
cnf(c_0_122,negated_conjecture,
cong(esk22_0,esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_50,c_0_116]) ).
cnf(c_0_123,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_117]),c_0_117])]) ).
cnf(c_0_124,negated_conjecture,
midp(esk24_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_118]),c_0_119])]) ).
cnf(c_0_125,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_120,c_0_117]) ).
cnf(c_0_126,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_121,c_0_122]),c_0_116])]) ).
cnf(c_0_127,negated_conjecture,
midp(esk24_0,X1,X1),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_128,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_38,c_0_125]) ).
fof(c_0_129,plain,
! [X949,X950,X951,X952,X953,X954,X955,X956] :
( ~ eqangle(X949,X950,X951,X952,X953,X954,X955,X956)
| ~ para(X953,X954,X955,X956)
| para(X949,X950,X951,X952) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_130,plain,
! [X828,X829,X830] :
( ~ cong(X830,X828,X830,X829)
| eqangle(X830,X828,X828,X829,X828,X829,X830,X829) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_131,negated_conjecture,
cong(esk24_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_132,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_128]) ).
fof(c_0_133,plain,
! [X823,X824,X825,X826,X827] :
( ~ midp(X826,X823,X824)
| ~ para(X826,X827,X824,X825)
| ~ coll(X827,X823,X825)
| midp(X827,X823,X825) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_134,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_129]) ).
cnf(c_0_135,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_136,negated_conjecture,
cong(X1,X1,esk24_0,X1),
inference(spm,[status(thm)],[c_0_66,c_0_131]) ).
cnf(c_0_137,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_132]),c_0_132])]) ).
cnf(c_0_138,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_133]) ).
cnf(c_0_139,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_140,negated_conjecture,
cong(X1,X1,X1,esk24_0),
inference(spm,[status(thm)],[c_0_58,c_0_136]) ).
cnf(c_0_141,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_137])]) ).
cnf(c_0_142,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_137])]) ).
cnf(c_0_143,negated_conjecture,
para(X1,X1,X1,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_117])]) ).
cnf(c_0_144,negated_conjecture,
midp(X1,X1,esk24_0),
inference(spm,[status(thm)],[c_0_141,c_0_140]) ).
cnf(c_0_145,negated_conjecture,
( midp(X1,X2,esk24_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,negated_conjecture,
midp(X1,esk24_0,X1),
inference(spm,[status(thm)],[c_0_70,c_0_144]) ).
cnf(c_0_147,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_63,c_0_117]) ).
cnf(c_0_148,negated_conjecture,
midp(X1,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_149,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_147]) ).
cnf(c_0_150,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_123,c_0_148]) ).
fof(c_0_151,plain,
! [X858,X859,X860,X861] :
( ~ circle(X861,X858,X859,X860)
| ~ coll(X861,X858,X860)
| perp(X858,X859,X859,X860) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])]) ).
fof(c_0_152,plain,
! [X606,X607,X608,X609] :
( ~ cong(X609,X606,X609,X607)
| ~ cong(X609,X606,X609,X608)
| circle(X609,X606,X607,X608) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).
cnf(c_0_153,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_154,plain,
( perp(X2,X3,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_155,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X3)
| ~ cong(X1,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_156,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_153]) ).
cnf(c_0_157,plain,
( perp(X1,X2,X2,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_137])]) ).
cnf(c_0_158,negated_conjecture,
circle(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_156])]) ).
cnf(c_0_159,negated_conjecture,
~ perp(esk24_0,esk25_0,esk25_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_160,negated_conjecture,
perp(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_161,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO608+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 : n006.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 18:04:31 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.02/1.93 % Version : CSE_E---1.7
% 2.02/1.93 % Problem : theBenchmark.p
% 2.02/1.93 % SZS status Theorem for theBenchmark.p
% 2.02/1.93 % SZS output start CNFRefutation
% See solution above
% 2.02/1.93 % Total time : 1.373s
%------------------------------------------------------------------------------