%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO592+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:28:32 PM UTC 2026
% Result : Theorem 0.14s 5.90s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 27
% Syntax : Number of formulae : 141 ( 41 unt; 0 def)
% Number of atoms : 331 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 302 ( 112 ~; 109 |; 53 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-6 aty)
% Number of variables : 505 ( 24 sgn 268 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X4,X5,X6)
& perp(X1,X2,X3,X4) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(exemplo6GDDFULL416054,conjecture,
! [X2,X3,X1,X4,X8,X7,X13,X6,X5,X19,X20,X21] :
( ( coll(X5,X2,X7)
& coll(X5,X1,X4)
& coll(X6,X2,X7)
& coll(X6,X3,X1)
& circle(X8,X1,X13,X21)
& coll(X13,X2,X7)
& coll(X7,X1,X8)
& perp(X7,X2,X1,X8)
& circle(X8,X1,X19,X20)
& midp(X8,X3,X2)
& coll(X4,X2,X3)
& perp(X4,X1,X2,X3)
& perp(X1,X2,X1,X3) )
=> cong(X5,X1,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416054) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X3,X4,X5,X6)
& cong(X1,X2,X3,X4) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( para(X1,X4,X2,X3)
& para(X1,X3,X2,X4)
& midp(X7,X1,X2) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( coll(X1,X2,X3)
& cong(X1,X2,X1,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( cong(X9,X10,X11,X12)
& eqratio(X1,X2,X3,X4,X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X17,X3,X4)
& midp(X7,X1,X2) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( para(X9,X10,X11,X12)
& eqangle(X1,X2,X3,X4,X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( coll(X6,X1,X3)
& para(X5,X6,X2,X3)
& midp(X5,X1,X2) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X17,X3,X4)
& midp(X7,X1,X2) )
=> ( para(X9,X17,X1,X3)
& para(X9,X7,X2,X4)
& midp(X9,X1,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(c_0_27,plain,
! [X54,X55,X56,X57,X58,X59] :
( para(X54,X55,X58,X59)
| ~ perp(X56,X57,X58,X59)
| ~ perp(X54,X55,X56,X57) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_28,plain,
! [X496,X497,X498,X499] :
( perp(esk12_4(X496,X497,X498,X499),X496,X496,X499)
| ~ circle(X499,X496,X497,X498) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])])]) ).
fof(c_0_29,plain,
! [X50,X51,X52,X53] :
( perp(X52,X53,X50,X51)
| ~ perp(X50,X51,X52,X53) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
fof(c_0_30,negated_conjecture,
~ ! [X2,X3,X1,X4,X8,X7,X13,X6,X5,X19,X20,X21] :
( ( coll(X5,X2,X7)
& coll(X5,X1,X4)
& coll(X6,X2,X7)
& coll(X6,X3,X1)
& circle(X8,X1,X13,X21)
& coll(X13,X2,X7)
& coll(X7,X1,X8)
& perp(X7,X2,X1,X8)
& circle(X8,X1,X19,X20)
& midp(X8,X3,X2)
& coll(X4,X2,X3)
& perp(X4,X1,X2,X3)
& perp(X1,X2,X1,X3) )
=> cong(X5,X1,X5,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416054]) ).
cnf(c_0_31,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
( ~ circle(X1,X2,X3,X4)
| perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_34,plain,
! [X66,X67,X68] :
( midp(X68,X66,X67)
| ~ midp(X68,X67,X66) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
fof(c_0_35,negated_conjecture,
( ~ cong(esk29_0,esk23_0,esk29_0,esk21_0)
& coll(esk29_0,esk21_0,esk26_0)
& coll(esk29_0,esk23_0,esk24_0)
& coll(esk28_0,esk21_0,esk26_0)
& coll(esk28_0,esk22_0,esk23_0)
& circle(esk25_0,esk23_0,esk27_0,esk32_0)
& coll(esk27_0,esk21_0,esk26_0)
& coll(esk26_0,esk23_0,esk25_0)
& perp(esk26_0,esk21_0,esk23_0,esk25_0)
& circle(esk25_0,esk23_0,esk30_0,esk31_0)
& midp(esk25_0,esk22_0,esk21_0)
& coll(esk24_0,esk21_0,esk22_0)
& perp(esk24_0,esk23_0,esk21_0,esk22_0)
& perp(esk23_0,esk21_0,esk23_0,esk22_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
fof(c_0_36,plain,
! [X395,X396,X397] :
( coll(X395,X396,X397)
| ~ midp(X395,X396,X397) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
cnf(c_0_37,plain,
( ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3)
| ~ circle(X4,X3,X5,X6)
| para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( ~ circle(X2,X1,X3,X4)
| perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
fof(c_0_39,plain,
! [X392,X393,X394] :
( cong(X392,X393,X392,X394)
| ~ midp(X392,X393,X394) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_40,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
midp(esk25_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_42,plain,
! [X22,X23,X24] :
( coll(X22,X24,X23)
| ~ coll(X22,X23,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_43,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_44,plain,
! [X32,X33,X34,X35] :
( para(X32,X33,X35,X34)
| ~ para(X32,X33,X34,X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_45,plain,
( ~ circle(X2,X1,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,negated_conjecture,
circle(esk25_0,esk23_0,esk30_0,esk31_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_47,plain,
! [X139,X140,X141,X142] :
( cong(X139,X140,X142,X141)
| ~ cong(X139,X140,X141,X142) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_48,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,negated_conjecture,
midp(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_50,plain,
! [X28,X29,X30,X31] :
( coll(X30,X31,X28)
| ~ coll(X28,X29,X31)
| ~ coll(X28,X29,X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_51,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,negated_conjecture,
coll(esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
fof(c_0_53,plain,
! [X103,X104,X105,X106,X107,X108,X109,X110] :
( eqangle(X105,X106,X103,X104,X109,X110,X107,X108)
| ~ eqangle(X103,X104,X105,X106,X107,X108,X109,X110) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_54,plain,
! [X257,X258,X259,X260,X261,X262] :
( eqangle(X257,X258,X261,X262,X259,X260,X261,X262)
| ~ para(X257,X258,X259,X260) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_55,plain,
! [X36,X37,X38,X39] :
( para(X38,X39,X36,X37)
| ~ para(X36,X37,X38,X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_56,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,negated_conjecture,
para(esk23_0,esk25_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_58,plain,
! [X147,X148,X149,X150,X151,X152] :
( cong(X147,X148,X151,X152)
| ~ cong(X149,X150,X151,X152)
| ~ cong(X147,X148,X149,X150) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
cnf(c_0_59,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_60,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_61,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,negated_conjecture,
coll(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_63,plain,
! [X251,X252,X253,X254,X255,X256] :
( para(X251,X252,X253,X254)
| ~ eqangle(X251,X252,X255,X256,X253,X254,X255,X256) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_64,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,negated_conjecture,
para(esk23_0,esk25_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_68,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_69,negated_conjecture,
cong(esk25_0,esk21_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_70,negated_conjecture,
( ~ coll(esk25_0,esk21_0,X1)
| coll(X1,esk22_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_71,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,negated_conjecture,
para(esk25_0,esk23_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
( ~ cong(X1,X2,esk25_0,esk21_0)
| cong(X1,X2,esk22_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_48,c_0_41]) ).
fof(c_0_76,plain,
! [X25,X26,X27] :
( coll(X26,X25,X27)
| ~ coll(X25,X26,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_77,negated_conjecture,
coll(esk22_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_70,c_0_62]) ).
fof(c_0_78,plain,
! [X376,X377,X378,X379,X380] :
( midp(X380,X378,X379)
| ~ para(X376,X379,X377,X378)
| ~ para(X376,X378,X377,X379)
| ~ midp(X380,X376,X377) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_79,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
para(esk25_0,esk23_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_56,c_0_73]) ).
fof(c_0_81,plain,
! [X389,X390,X391] :
( midp(X389,X390,X391)
| ~ coll(X389,X390,X391)
| ~ cong(X389,X390,X389,X391) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_82,negated_conjecture,
cong(esk25_0,esk22_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_83,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_84,negated_conjecture,
coll(esk22_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_51,c_0_77]) ).
cnf(c_0_85,plain,
( ~ para(X2,X5,X3,X4)
| ~ para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_86,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_88,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
coll(esk25_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
fof(c_0_90,plain,
! [X428,X429,X430,X431,X432,X433,X434,X435] :
( cong(X428,X429,X430,X431)
| ~ cong(X432,X433,X434,X435)
| ~ eqratio(X428,X429,X430,X431,X432,X433,X434,X435) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).
fof(c_0_91,plain,
! [X398,X399,X400,X401,X402,X403] :
( eqratio(X402,X398,X398,X399,X403,X400,X400,X401)
| ~ midp(X403,X400,X401)
| ~ midp(X402,X398,X399) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).
cnf(c_0_92,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_86])]) ).
cnf(c_0_93,negated_conjecture,
midp(esk25_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).
fof(c_0_94,plain,
! [X386,X387,X388] :
( coll(X386,X387,X388)
| ~ para(X386,X387,X386,X388) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_95,plain,
( ~ cong(X5,X6,X7,X8)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_96,plain,
( ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3)
| eqratio(X1,X2,X2,X3,X4,X5,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_97,negated_conjecture,
midp(esk25_0,X1,X1),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_99,plain,
( ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6)
| ~ cong(X4,X5,X5,X6)
| cong(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_100,negated_conjecture,
cong(esk25_0,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_48,c_0_97]) ).
cnf(c_0_101,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_98,c_0_86]) ).
fof(c_0_102,plain,
! [X143,X144,X145,X146] :
( cong(X145,X146,X143,X144)
| ~ cong(X143,X144,X145,X146) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_103,negated_conjecture,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_97])]) ).
cnf(c_0_104,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_83,c_0_101]) ).
fof(c_0_105,plain,
! [X412,X413,X414,X415,X416,X417,X418,X419] :
( para(X412,X413,X414,X415)
| ~ para(X416,X417,X418,X419)
| ~ eqangle(X412,X413,X414,X415,X416,X417,X418,X419) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_106,plain,
! [X291,X292,X293] :
( eqangle(X293,X291,X291,X292,X291,X292,X293,X292)
| ~ cong(X293,X291,X293,X292) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
cnf(c_0_107,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_108,negated_conjecture,
cong(esk25_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_103,c_0_97]) ).
cnf(c_0_109,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_104]) ).
fof(c_0_110,plain,
! [X286,X287,X288,X289,X290] :
( midp(X290,X286,X288)
| ~ coll(X290,X286,X288)
| ~ para(X289,X290,X287,X288)
| ~ midp(X289,X286,X287) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_111,plain,
( ~ para(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_112,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_113,negated_conjecture,
cong(X1,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_114,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_109]),c_0_109])]) ).
cnf(c_0_115,plain,
( ~ coll(X4,X2,X5)
| ~ para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_116,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_117,negated_conjecture,
cong(X1,X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_59,c_0_113]) ).
cnf(c_0_118,plain,
( ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_114])]) ).
cnf(c_0_119,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_114])]) ).
cnf(c_0_120,negated_conjecture,
para(X1,X1,X1,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_86])]) ).
cnf(c_0_121,negated_conjecture,
midp(X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_118,c_0_117]) ).
cnf(c_0_122,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk25_0) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
midp(X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_40,c_0_121]) ).
fof(c_0_124,plain,
! [X462,X463,X464,X465,X466,X467] :
( ( ~ midp(X467,X464,X465)
| ~ midp(X466,X462,X463)
| para(esk6_6(X462,X463,X464,X465,X466,X467),X467,X462,X464) )
& ( ~ midp(X467,X464,X465)
| ~ midp(X466,X462,X463)
| para(esk6_6(X462,X463,X464,X465,X466,X467),X466,X463,X465) )
& ( ~ midp(X467,X464,X465)
| ~ midp(X466,X462,X463)
| midp(esk6_6(X462,X463,X464,X465,X466,X467),X462,X465) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])])]) ).
cnf(c_0_125,negated_conjecture,
midp(X1,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_126,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_86]) ).
cnf(c_0_128,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_92,c_0_125]) ).
cnf(c_0_129,plain,
( ~ coll(X1,X2,X3)
| ~ midp(X1,X4,X5)
| ~ midp(X7,X6,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_126]) ).
cnf(c_0_130,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_131,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_56,c_0_86]) ).
cnf(c_0_132,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X7,X6,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_114])]) ).
cnf(c_0_133,negated_conjecture,
midp(X1,X2,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_130])]) ).
cnf(c_0_134,negated_conjecture,
( ~ midp(X3,X2,X1)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_119,c_0_131]) ).
cnf(c_0_135,negated_conjecture,
( ~ midp(X4,X5,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_133])]) ).
cnf(c_0_136,negated_conjecture,
midp(esk25_0,X1,X2),
inference(spm,[status(thm)],[c_0_134,c_0_133]) ).
cnf(c_0_137,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_138,negated_conjecture,
~ cong(esk29_0,esk23_0,esk29_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_139,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_137])]) ).
cnf(c_0_140,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO592+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n005.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 17:49:09 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.90 % Version: 3.5.1
% 0.14/5.90 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/5.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.90 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/5.90 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.90 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.90 % Starting sh5l with 300s (1) cores
% 0.14/5.90 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1473275 completed with status 0
% 0.14/5.90 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/5.90 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/5.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.90 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/5.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.90 % No SInE strategy applied
% 0.14/5.90 % Search class: FGUSF-FFLM33-SFFFFFNN
% 0.14/5.90 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.14/5.90 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.90 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.90 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/5.90 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/5.90 % Starting new_bool_3 with 136s (1) cores
% 0.14/5.90 % Starting new_bool_1 with 136s (1) cores
% 0.14/5.90 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1473283 completed with status 0
% 0.14/5.90 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.14/5.90 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/5.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.90 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/5.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.90 % No SInE strategy applied
% 0.14/5.90 % Search class: FGUSF-FFLM33-SFFFFFNN
% 0.14/5.90 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.14/5.90 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.90 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.90 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/5.90 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/5.90 % Preprocessing time : 0.003 s
% 0.14/5.90 % Presaturation interreduction done
% 0.14/5.90
% 0.14/5.90 % Proof found!
% 0.14/5.90 % SZS status Theorem
% 0.14/5.90 % SZS output start CNFRefutation
% See solution above
% 0.14/5.90 % Parsed axioms : 95
% 0.14/5.90 % Removed by relevancy pruning/SinE : 0
% 0.14/5.90 % Initial clauses : 127
% 0.14/5.90 % Removed in clause preprocessing : 0
% 0.14/5.90 % Initial clauses in saturation : 127
% 0.14/5.90 % Processed clauses : 3618
% 0.14/5.90 % ...of these trivial : 377
% 0.14/5.90 % ...subsumed : 197
% 0.14/5.90 % ...remaining for further processing : 3044
% 0.14/5.90 % Other redundant clauses eliminated : 0
% 0.14/5.90 % Clauses deleted for lack of memory : 0
% 0.14/5.90 % Backward-subsumed : 18
% 0.14/5.90 % Backward-rewritten : 2652
% 0.14/5.90 % Generated clauses : 22142
% 0.14/5.90 % ...of the previous two non-redundant : 11948
% 0.14/5.90 % ...aggressively subsumed : 0
% 0.14/5.90 % Contextual simplify-reflections : 3
% 0.14/5.90 % Paramodulations : 22142
% 0.14/5.90 % Factorizations : 0
% 0.14/5.90 % NegExts : 0
% 0.14/5.90 % Equation resolutions : 0
% 0.14/5.90 % Disequality decompositions : 0
% 0.14/5.90 % Total rewrite steps : 14307
% 0.14/5.90 % ...of those cached : 10811
% 0.14/5.90 % Propositional unsat checks : 0
% 0.14/5.90 % Propositional check models : 0
% 0.14/5.90 % Propositional check unsatisfiable : 0
% 0.14/5.90 % Propositional clauses : 0
% 0.14/5.90 % Propositional clauses after purity: 0
% 0.14/5.90 % Propositional unsat core size : 0
% 0.14/5.90 % Propositional preprocessing time : 0.000
% 0.14/5.90 % Propositional encoding time : 0.000
% 0.14/5.90 % Propositional solver time : 0.000
% 0.14/5.90 % Success case prop preproc time : 0.000
% 0.14/5.90 % Success case prop encoding time : 0.000
% 0.14/5.90 % Success case prop solver time : 0.000
% 0.14/5.90 % Current number of processed clauses : 248
% 0.14/5.90 % Positive orientable unit clauses : 95
% 0.14/5.90 % Positive unorientable unit clauses: 0
% 0.14/5.90 % Negative unit clauses : 0
% 0.14/5.90 % Non-unit-clauses : 153
% 0.14/5.90 % Current number of unprocessed clauses: 8494
% 0.14/5.90 % ...number of literals in the above : 26697
% 0.14/5.90 % Current number of archived formulas : 0
% 0.14/5.90 % Current number of archived clauses : 2796
% 0.14/5.90 % Clause-clause subsumption calls (NU) : 99758
% 0.14/5.90 % Rec. Clause-clause subsumption calls : 78635
% 0.14/5.90 % Non-unit clause-clause subsumptions : 207
% 0.14/5.90 % Unit Clause-clause subsumption calls : 70100
% 0.14/5.90 % Rewrite failures with RHS unbound : 0
% 0.14/5.90 % BW rewrite match attempts : 16759
% 0.14/5.90 % BW rewrite match successes : 2022
% 0.14/5.90 % Condensation attempts : 0
% 0.14/5.90 % Condensation successes : 0
% 0.14/5.90 % Termbank termtop insertions : 244339
% 0.14/5.90 % Search garbage collected termcells : 2896
% 0.14/5.90
% 0.14/5.90 % -------------------------------------------------
% 0.14/5.90 % User time : 0.423 s
% 0.14/5.90 % System time : 0.027 s
% 0.14/5.90 % Total time : 0.450 s
% 0.14/5.90 % Maximum resident set size: 4308 pages
% 0.14/5.90
% 0.14/5.90 % -------------------------------------------------
% 0.14/5.90 % User time : 2.120 s
% 0.14/5.90 % System time : 0.118 s
% 0.14/5.90 % Total time : 2.238 s
% 0.14/5.90 % Maximum resident set size: 5120 pages
% 0.14/5.90 % E exiting
%------------------------------------------------------------------------------