%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO639+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 04:21:45 PM UTC 2026
% Result : Theorem 2.16s 1.96s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 29
% Syntax : Number of formulae : 161 ( 56 unt; 0 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 299 ( 108 ~; 108 |; 53 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 16 con; 0-4 aty)
% Number of variables : 584 ( 42 sgn 314 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL81109105,conjecture,
! [X9,X10,X1,X17,X4,X8,X2,X3,X5,X19,X20,X21,X22,X23,X24,X25] :
( ( ( cong(X1,X9,X9,X10)
| cong(X1,X9,X1,X10) )
& perp(X9,X1,X9,X17)
& perp(X10,X1,X10,X17)
& circle(X17,X9,X19,X20)
& coll(X4,X1,X17)
& circle(X17,X9,X4,X21)
& midp(X8,X4,X1)
& circle(X8,X4,X22,X23)
& coll(X2,X9,X1)
& circle(X8,X4,X2,X24)
& coll(X3,X10,X1)
& circle(X8,X4,X3,X25)
& coll(X5,X9,X10)
& coll(X5,X1,X17) )
=> eqangle(X1,X2,X2,X5,X5,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109105) ).
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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(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(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(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(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(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(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(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_29,negated_conjecture,
~ ! [X9,X10,X1,X17,X4,X8,X2,X3,X5,X19,X20,X21,X22,X23,X24,X25] :
( ( ( cong(X1,X9,X9,X10)
| cong(X1,X9,X1,X10) )
& perp(X9,X1,X9,X17)
& perp(X10,X1,X10,X17)
& circle(X17,X9,X19,X20)
& coll(X4,X1,X17)
& circle(X17,X9,X4,X21)
& midp(X8,X4,X1)
& circle(X8,X4,X22,X23)
& coll(X2,X9,X1)
& circle(X8,X4,X2,X24)
& coll(X3,X10,X1)
& circle(X8,X4,X3,X25)
& coll(X5,X9,X10)
& coll(X5,X1,X17) )
=> eqangle(X1,X2,X2,X5,X5,X2,X2,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109105]) ).
fof(c_0_30,plain,
! [X937,X938,X939] :
( ~ midp(X937,X938,X939)
| coll(X937,X938,X939) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_31,negated_conjecture,
( ( cong(esk23_0,esk21_0,esk21_0,esk22_0)
| cong(esk23_0,esk21_0,esk23_0,esk22_0) )
& perp(esk21_0,esk23_0,esk21_0,esk24_0)
& perp(esk22_0,esk23_0,esk22_0,esk24_0)
& circle(esk24_0,esk21_0,esk30_0,esk31_0)
& coll(esk25_0,esk23_0,esk24_0)
& circle(esk24_0,esk21_0,esk25_0,esk32_0)
& midp(esk26_0,esk25_0,esk23_0)
& circle(esk26_0,esk25_0,esk33_0,esk34_0)
& coll(esk27_0,esk21_0,esk23_0)
& circle(esk26_0,esk25_0,esk27_0,esk35_0)
& coll(esk28_0,esk22_0,esk23_0)
& circle(esk26_0,esk25_0,esk28_0,esk36_0)
& coll(esk29_0,esk21_0,esk22_0)
& coll(esk29_0,esk23_0,esk24_0)
& ~ eqangle(esk23_0,esk27_0,esk27_0,esk29_0,esk29_0,esk27_0,esk27_0,esk28_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
fof(c_0_32,plain,
! [X596,X597,X598,X599,X600,X601] :
( ~ perp(X596,X597,X598,X599)
| ~ perp(X598,X599,X600,X601)
| para(X596,X597,X600,X601) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_33,plain,
! [X1038,X1039,X1040,X1041] :
( ~ circle(X1041,X1038,X1039,X1040)
| perp(esk12_4(X1038,X1039,X1040,X1041),X1038,X1038,X1041) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_34,plain,
! [X592,X593,X594,X595] :
( ~ perp(X592,X593,X594,X595)
| perp(X594,X595,X592,X593) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_35,plain,
! [X567,X568,X569] :
( ~ coll(X567,X568,X569)
| coll(X568,X567,X569) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_36,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
midp(esk26_0,esk25_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_41,plain,
! [X608,X609,X610] :
( ~ midp(X610,X609,X608)
| midp(X610,X608,X609) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_42,plain,
! [X564,X565,X566] :
( ~ coll(X564,X565,X566)
| coll(X564,X566,X565) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_43,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
coll(esk26_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,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_38,c_0_39]) ).
cnf(c_0_46,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
fof(c_0_47,plain,
! [X934,X935,X936] :
( ~ midp(X934,X935,X936)
| cong(X934,X935,X934,X936) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_48,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_49,plain,
! [X570,X571,X572,X573] :
( ~ coll(X570,X571,X572)
| ~ coll(X570,X571,X573)
| coll(X572,X573,X570) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_50,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,negated_conjecture,
coll(esk25_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_52,plain,
! [X574,X575,X576,X577] :
( ~ para(X574,X575,X576,X577)
| para(X574,X575,X577,X576) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_53,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
circle(esk26_0,esk25_0,esk33_0,esk34_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_55,plain,
! [X681,X682,X683,X684] :
( ~ cong(X681,X682,X683,X684)
| cong(X681,X682,X684,X683) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_56,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,negated_conjecture,
midp(esk26_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_58,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_59,negated_conjecture,
coll(esk25_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_60,plain,
! [X578,X579,X580,X581] :
( ~ para(X578,X579,X580,X581)
| para(X580,X581,X578,X579) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_61,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,negated_conjecture,
para(esk25_0,esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_63,plain,
! [X689,X690,X691,X692,X693,X694] :
( ~ cong(X689,X690,X691,X692)
| ~ cong(X691,X692,X693,X694)
| cong(X689,X690,X693,X694) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_64,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,negated_conjecture,
cong(esk26_0,esk23_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_66,plain,
! [X685,X686,X687,X688] :
( ~ cong(X685,X686,X687,X688)
| cong(X687,X688,X685,X686) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_67,negated_conjecture,
( coll(X1,esk26_0,esk25_0)
| ~ coll(esk25_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_68,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_69,negated_conjecture,
para(esk25_0,esk26_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,negated_conjecture,
cong(esk26_0,esk23_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,negated_conjecture,
coll(esk26_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_67,c_0_59]) ).
fof(c_0_74,plain,
! [X645,X646,X647,X648,X649,X650,X651,X652] :
( ~ eqangle(X645,X646,X647,X648,X649,X650,X651,X652)
| eqangle(X647,X648,X645,X646,X651,X652,X649,X650) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_75,plain,
! [X799,X800,X801,X802,X803,X804] :
( ~ para(X799,X800,X801,X802)
| eqangle(X799,X800,X803,X804,X801,X802,X803,X804) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_76,negated_conjecture,
coll(esk26_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_50,c_0_44]) ).
fof(c_0_77,plain,
! [X918,X919,X920,X921,X922] :
( ~ midp(X922,X918,X919)
| ~ para(X918,X920,X919,X921)
| ~ para(X918,X921,X919,X920)
| midp(X922,X920,X921) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_78,negated_conjecture,
para(esk26_0,esk25_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_79,plain,
! [X931,X932,X933] :
( ~ cong(X931,X932,X931,X933)
| ~ coll(X931,X932,X933)
| midp(X931,X932,X933) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_80,negated_conjecture,
( cong(X1,X2,esk25_0,esk26_0)
| ~ cong(X1,X2,esk26_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_81,negated_conjecture,
cong(esk25_0,esk26_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_72,c_0_71]) ).
cnf(c_0_82,negated_conjecture,
coll(esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_50,c_0_73]) ).
fof(c_0_83,plain,
! [X793,X794,X795,X796,X797,X798] :
( ~ eqangle(X793,X794,X797,X798,X795,X796,X797,X798)
| para(X793,X794,X795,X796) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_84,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_74]) ).
cnf(c_0_85,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_86,negated_conjecture,
( coll(X1,esk25_0,esk26_0)
| ~ coll(esk26_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_76]) ).
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_77]) ).
cnf(c_0_88,negated_conjecture,
para(esk26_0,esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_61,c_0_78]) ).
cnf(c_0_89,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_90,negated_conjecture,
cong(esk25_0,esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_91,negated_conjecture,
coll(esk25_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_43,c_0_82]) ).
cnf(c_0_92,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_93,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,negated_conjecture,
cong(esk26_0,esk25_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_56,c_0_37]) ).
cnf(c_0_95,negated_conjecture,
coll(esk25_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_86,c_0_76]) ).
fof(c_0_96,plain,
! [X970,X971,X972,X973,X974,X975,X976,X977] :
( ~ eqratio(X970,X971,X972,X973,X974,X975,X976,X977)
| ~ cong(X974,X975,X976,X977)
| cong(X970,X971,X972,X973) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_97,plain,
! [X940,X941,X942,X943,X944,X945] :
( ~ midp(X944,X940,X941)
| ~ midp(X945,X942,X943)
| eqratio(X944,X940,X940,X941,X945,X942,X942,X943) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_98,negated_conjecture,
( midp(X1,esk25_0,esk25_0)
| ~ midp(X1,esk26_0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_88])]) ).
cnf(c_0_99,negated_conjecture,
midp(esk25_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).
cnf(c_0_100,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_101,negated_conjecture,
cong(esk26_0,esk25_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_80,c_0_94]) ).
cnf(c_0_102,negated_conjecture,
coll(esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_50,c_0_95]) ).
cnf(c_0_103,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_96]) ).
cnf(c_0_104,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_97]) ).
cnf(c_0_105,negated_conjecture,
midp(esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_100,c_0_88]) ).
cnf(c_0_107,negated_conjecture,
cong(esk26_0,esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_64,c_0_101]) ).
cnf(c_0_108,negated_conjecture,
coll(esk26_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_43,c_0_102]) ).
cnf(c_0_109,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_103,c_0_104]) ).
cnf(c_0_110,negated_conjecture,
cong(esk25_0,esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_56,c_0_105]) ).
cnf(c_0_111,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_106]),c_0_106])]) ).
cnf(c_0_112,negated_conjecture,
midp(esk26_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_107]),c_0_108])]) ).
fof(c_0_113,plain,
! [X928,X929,X930] :
( ~ para(X928,X929,X928,X930)
| coll(X928,X929,X930) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_114,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_109,c_0_110]),c_0_105])]) ).
cnf(c_0_115,negated_conjecture,
midp(esk26_0,X1,X1),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_116,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
fof(c_0_117,plain,
! [X954,X955,X956,X957,X958,X959,X960,X961] :
( ~ eqangle(X954,X955,X956,X957,X958,X959,X960,X961)
| ~ para(X958,X959,X960,X961)
| para(X954,X955,X956,X957) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_118,plain,
! [X833,X834,X835] :
( ~ cong(X835,X833,X835,X834)
| eqangle(X835,X833,X833,X834,X833,X834,X835,X834) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_119,negated_conjecture,
cong(esk26_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_116,c_0_106]) ).
cnf(c_0_121,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_117]) ).
cnf(c_0_122,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_123,negated_conjecture,
cong(X1,X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_72,c_0_119]) ).
cnf(c_0_124,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_43,c_0_120]) ).
cnf(c_0_125,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
cong(X1,X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_64,c_0_123]) ).
cnf(c_0_127,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_124]) ).
cnf(c_0_128,negated_conjecture,
para(X1,X1,X1,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_106])]) ).
cnf(c_0_129,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_127]),c_0_127])]) ).
cnf(c_0_130,negated_conjecture,
para(X1,X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_61,c_0_128]) ).
cnf(c_0_131,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_129])]) ).
cnf(c_0_132,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X2,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_130]),c_0_130])]) ).
cnf(c_0_133,negated_conjecture,
midp(X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_131,c_0_126]) ).
cnf(c_0_134,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_135,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_111,c_0_134]) ).
cnf(c_0_136,negated_conjecture,
cong(X1,X2,X2,X2),
inference(spm,[status(thm)],[c_0_114,c_0_135]) ).
cnf(c_0_137,negated_conjecture,
cong(X1,X1,X2,X1),
inference(spm,[status(thm)],[c_0_72,c_0_136]) ).
fof(c_0_138,plain,
! [X828,X829,X830,X831,X832] :
( ~ midp(X831,X828,X829)
| ~ para(X831,X832,X829,X830)
| ~ coll(X832,X828,X830)
| midp(X832,X828,X830) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_139,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_137]) ).
cnf(c_0_140,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_138]) ).
cnf(c_0_141,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_122]) ).
cnf(c_0_142,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_131,c_0_139]) ).
fof(c_0_143,plain,
! [X823,X824,X825,X826,X827] :
( ~ midp(X826,X823,X824)
| ~ midp(X827,X823,X825)
| para(X826,X827,X824,X825) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_144,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_129])]) ).
cnf(c_0_145,plain,
para(X1,X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_139])]) ).
cnf(c_0_146,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_48,c_0_142]) ).
cnf(c_0_147,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_148,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]) ).
fof(c_0_149,plain,
! [X661,X662,X663,X664,X665,X666,X667,X668] :
( ~ eqangle(X661,X662,X663,X664,X665,X666,X667,X668)
| eqangle(X661,X662,X665,X666,X663,X664,X667,X668) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_150,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148]),c_0_148])]) ).
cnf(c_0_151,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_149]) ).
fof(c_0_152,plain,
! [X669,X670,X671,X672,X673,X674,X675,X676,X677,X678,X679,X680] :
( ~ eqangle(X669,X670,X671,X672,X673,X674,X675,X676)
| ~ eqangle(X673,X674,X675,X676,X677,X678,X679,X680)
| eqangle(X669,X670,X671,X672,X677,X678,X679,X680) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_153,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_150])]) ).
cnf(c_0_154,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_151,c_0_85]) ).
cnf(c_0_155,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_152]) ).
cnf(c_0_156,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_151,c_0_153]) ).
cnf(c_0_157,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_150])]) ).
cnf(c_0_158,negated_conjecture,
~ eqangle(esk23_0,esk27_0,esk27_0,esk29_0,esk29_0,esk27_0,esk27_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_159,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157])]) ).
cnf(c_0_160,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO639+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n003.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 18:05:26 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 2.16/1.96 % Version : CSE_E---1.7
% 2.16/1.96 % Problem : theBenchmark.p
% 2.16/1.96 % SZS status Theorem for theBenchmark.p
% 2.16/1.96 % SZS output start CNFRefutation
% See solution above
% 2.16/1.96 % Total time : 1.373s
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