%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO587+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 : n019.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 12:28:31 PM UTC 2026
% Result : Theorem 4.84s 6.16s
% Output : CNFRefutation 4.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 24
% Syntax : Number of formulae : 123 ( 35 unt; 0 def)
% Number of atoms : 283 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 262 ( 102 ~; 99 |; 36 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-6 aty)
% Number of variables : 450 ( 32 sgn 238 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416049,conjecture,
! [X1,X3,X2,X4,X9,X10,X15,X19,X8] :
( ( coll(X8,X10,X19)
& coll(X8,X9,X15)
& midp(X19,X1,X4)
& midp(X15,X4,X3)
& midp(X10,X3,X2)
& midp(X9,X2,X1)
& perp(X1,X3,X2,X4) )
=> cong(X8,X19,X8,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416049) ).
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(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X3,X4)
& midp(X7,X1,X2) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(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(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(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(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(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(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(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X6,X1,X3)
& midp(X5,X1,X2) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_24,negated_conjecture,
~ ! [X1,X3,X2,X4,X9,X10,X15,X19,X8] :
( ( coll(X8,X10,X19)
& coll(X8,X9,X15)
& midp(X19,X1,X4)
& midp(X15,X4,X3)
& midp(X10,X3,X2)
& midp(X9,X2,X1)
& perp(X1,X3,X2,X4) )
=> cong(X8,X19,X8,X15) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416049]) ).
fof(c_0_25,plain,
! [X393,X394,X395] :
( coll(X393,X394,X395)
| ~ midp(X393,X394,X395) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
fof(c_0_26,negated_conjecture,
( ~ cong(esk29_0,esk28_0,esk29_0,esk27_0)
& coll(esk29_0,esk26_0,esk28_0)
& coll(esk29_0,esk25_0,esk27_0)
& midp(esk28_0,esk21_0,esk24_0)
& midp(esk27_0,esk24_0,esk22_0)
& midp(esk26_0,esk22_0,esk23_0)
& midp(esk25_0,esk23_0,esk21_0)
& perp(esk21_0,esk22_0,esk23_0,esk24_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_27,plain,
! [X369,X370,X371,X372,X373] :
( para(X369,X371,X370,X372)
| ~ midp(X373,X371,X372)
| ~ midp(X373,X369,X370) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
fof(c_0_28,plain,
! [X460,X461,X462,X463,X464,X465] :
( ( ~ midp(X465,X462,X463)
| ~ midp(X464,X460,X461)
| para(esk6_6(X460,X461,X462,X463,X464,X465),X465,X460,X462) )
& ( ~ midp(X465,X462,X463)
| ~ midp(X464,X460,X461)
| para(esk6_6(X460,X461,X462,X463,X464,X465),X464,X461,X463) )
& ( ~ midp(X465,X462,X463)
| ~ midp(X464,X460,X461)
| midp(esk6_6(X460,X461,X462,X463,X464,X465),X460,X463) ) ),
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])])])])])]) ).
fof(c_0_29,plain,
! [X20,X21,X22] :
( coll(X20,X22,X21)
| ~ coll(X20,X21,X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_30,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
midp(esk28_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X64,X65,X66] :
( midp(X66,X64,X65)
| ~ midp(X66,X65,X64) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
fof(c_0_35,plain,
! [X26,X27,X28,X29] :
( coll(X28,X29,X26)
| ~ coll(X26,X27,X29)
| ~ coll(X26,X27,X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_36,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,negated_conjecture,
coll(esk28_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_38,plain,
! [X101,X102,X103,X104,X105,X106,X107,X108] :
( eqangle(X103,X104,X101,X102,X107,X108,X105,X106)
| ~ eqangle(X101,X102,X103,X104,X105,X106,X107,X108) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_39,plain,
! [X255,X256,X257,X258,X259,X260] :
( eqangle(X255,X256,X259,X260,X257,X258,X259,X260)
| ~ para(X255,X256,X257,X258) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
cnf(c_0_40,plain,
( ~ midp(X7,X2,X5)
| ~ midp(X8,X6,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_42,plain,
! [X390,X391,X392] :
( cong(X390,X391,X390,X392)
| ~ midp(X390,X391,X392) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_43,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
coll(esk28_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_45,plain,
! [X249,X250,X251,X252,X253,X254] :
( para(X249,X250,X251,X252)
| ~ eqangle(X249,X250,X253,X254,X251,X252,X253,X254) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_46,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_38]) ).
cnf(c_0_47,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( ~ midp(X5,X1,X6)
| ~ midp(X3,X4,X2)
| para(X1,X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_49,negated_conjecture,
midp(esk28_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
fof(c_0_50,plain,
! [X145,X146,X147,X148,X149,X150] :
( cong(X145,X146,X149,X150)
| ~ cong(X147,X148,X149,X150)
| ~ cong(X145,X146,X147,X148) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
cnf(c_0_51,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,negated_conjecture,
( ~ coll(esk28_0,esk24_0,X1)
| coll(X1,esk21_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_53,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( ~ midp(X2,X1,X3)
| para(X1,X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,negated_conjecture,
cong(esk28_0,esk24_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
fof(c_0_58,plain,
! [X23,X24,X25] :
( coll(X24,X23,X25)
| ~ coll(X23,X24,X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_59,negated_conjecture,
coll(esk21_0,esk21_0,esk28_0),
inference(spm,[status(thm)],[c_0_52,c_0_44]) ).
fof(c_0_60,plain,
! [X374,X375,X376,X377,X378] :
( midp(X378,X376,X377)
| ~ para(X374,X377,X375,X376)
| ~ para(X374,X376,X375,X377)
| ~ midp(X378,X374,X375) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_61,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,negated_conjecture,
para(esk21_0,esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_55,c_0_31]) ).
fof(c_0_63,plain,
! [X387,X388,X389] :
( midp(X387,X388,X389)
| ~ coll(X387,X388,X389)
| ~ cong(X387,X388,X387,X389) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_64,negated_conjecture,
( ~ cong(X1,X2,esk28_0,esk24_0)
| cong(X1,X2,esk28_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
cong(esk28_0,esk21_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_31]) ).
cnf(c_0_66,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,negated_conjecture,
coll(esk21_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_36,c_0_59]) ).
cnf(c_0_68,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_60]) ).
cnf(c_0_69,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,negated_conjecture,
cong(esk28_0,esk21_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,negated_conjecture,
coll(esk28_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_73,plain,
! [X426,X427,X428,X429,X430,X431,X432,X433] :
( cong(X426,X427,X428,X429)
| ~ cong(X430,X431,X432,X433)
| ~ eqratio(X426,X427,X428,X429,X430,X431,X432,X433) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).
fof(c_0_74,plain,
! [X396,X397,X398,X399,X400,X401] :
( eqratio(X400,X396,X396,X397,X401,X398,X398,X399)
| ~ midp(X401,X398,X399)
| ~ midp(X400,X396,X397) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).
cnf(c_0_75,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_69])]) ).
cnf(c_0_76,negated_conjecture,
midp(esk28_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
fof(c_0_77,plain,
! [X384,X385,X386] :
( coll(X384,X385,X386)
| ~ para(X384,X385,X384,X386) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_78,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_73]) ).
cnf(c_0_79,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_74]) ).
cnf(c_0_80,negated_conjecture,
midp(esk28_0,X1,X1),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_82,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_78,c_0_79]) ).
cnf(c_0_83,negated_conjecture,
cong(esk28_0,X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_51,c_0_80]) ).
cnf(c_0_84,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_81,c_0_69]) ).
fof(c_0_85,plain,
! [X141,X142,X143,X144] :
( cong(X143,X144,X141,X142)
| ~ cong(X141,X142,X143,X144) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_86,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_82,c_0_83]),c_0_80])]) ).
cnf(c_0_87,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_66,c_0_84]) ).
fof(c_0_88,plain,
! [X410,X411,X412,X413,X414,X415,X416,X417] :
( para(X410,X411,X412,X413)
| ~ para(X414,X415,X416,X417)
| ~ eqangle(X410,X411,X412,X413,X414,X415,X416,X417) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_89,plain,
! [X289,X290,X291] :
( eqangle(X291,X289,X289,X290,X289,X290,X291,X290)
| ~ cong(X291,X289,X291,X290) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_90,plain,
! [X137,X138,X139,X140] :
( cong(X137,X138,X140,X139)
| ~ cong(X137,X138,X139,X140) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_91,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_92,negated_conjecture,
cong(esk28_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_86,c_0_80]) ).
cnf(c_0_93,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_36,c_0_87]) ).
fof(c_0_94,plain,
! [X284,X285,X286,X287,X288] :
( midp(X288,X284,X286)
| ~ coll(X288,X284,X286)
| ~ para(X287,X288,X285,X286)
| ~ midp(X287,X284,X285) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_95,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_88]) ).
cnf(c_0_96,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_97,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_98,negated_conjecture,
cong(X1,X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_93]),c_0_93])]) ).
cnf(c_0_100,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_94]) ).
cnf(c_0_101,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
cong(X1,X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,plain,
( ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_99])]) ).
cnf(c_0_104,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_99])]) ).
cnf(c_0_105,negated_conjecture,
para(X1,X1,X1,esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_69])]) ).
cnf(c_0_106,negated_conjecture,
midp(X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_103,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk28_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_41,c_0_106]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,esk28_0,esk28_0),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_110,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_69]) ).
cnf(c_0_111,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_75,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
fof(c_0_113,plain,
! [X279,X280,X281,X282,X283] :
( para(X282,X283,X280,X281)
| ~ midp(X283,X279,X281)
| ~ midp(X282,X279,X280) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X2,esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_112])]) ).
cnf(c_0_115,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_116,negated_conjecture,
midp(X1,esk28_0,X2),
inference(spm,[status(thm)],[c_0_41,c_0_114]) ).
cnf(c_0_117,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_116])]) ).
cnf(c_0_118,plain,
( ~ midp(X1,X4,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_117]),c_0_117])]) ).
cnf(c_0_119,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_118,c_0_116]) ).
cnf(c_0_120,negated_conjecture,
~ cong(esk29_0,esk28_0,esk29_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_121,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_119])]) ).
cnf(c_0_122,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO587+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.41 % Computer : n019.cluster.edu
% 0.13/5.41 % Model : x86_64 x86_64
% 0.13/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.41 % Memory : 8046.5625MB
% 0.13/5.41 % OS : Linux 6.8.0-71-generic
% 0.13/5.41 % CPULimit : 300
% 0.13/5.41 % WCLimit : 300
% 0.13/5.41 % DateTime : Sun Sep 20 17:39:27 UTC 2026
% 0.13/5.42 % CPUTime :
% 0.13/5.42 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.49 Running first-order theorem proving
% 0.13/5.49 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
% 4.84/6.16 % Version: 3.5.1
% 4.84/6.16 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.84/6.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.84/6.16 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.84/6.16 % Starting new_bool_3 with 300s (1) cores
% 4.84/6.16 % Starting new_bool_1 with 300s (1) cores
% 4.84/6.16 % Starting sh5l with 300s (1) cores
% 4.84/6.16 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 610222 completed with status 0
% 4.84/6.16 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.84/6.16 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.84/6.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.84/6.16 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.84/6.16 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.84/6.16 % No SInE strategy applied
% 4.84/6.16 % Search class: FGUSF-FFLM33-SFFFFFNN
% 4.84/6.16 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 4.84/6.16 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.84/6.16 % Starting SubtermCWHack with 136s (1) cores
% 4.84/6.16 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.84/6.16 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 4.84/6.16 % Starting new_bool_3 with 136s (1) cores
% 4.84/6.16 % Starting new_bool_1 with 136s (1) cores
% 4.84/6.16 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 610230 completed with status 0
% 4.84/6.16 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 4.84/6.16 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.84/6.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.84/6.16 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.84/6.16 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.84/6.16 % No SInE strategy applied
% 4.84/6.16 % Search class: FGUSF-FFLM33-SFFFFFNN
% 4.84/6.16 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 4.84/6.16 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.84/6.16 % Starting SubtermCWHack with 136s (1) cores
% 4.84/6.16 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.84/6.16 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 4.84/6.16 % Preprocessing time : 0.005 s
% 4.84/6.16 % Presaturation interreduction done
% 4.84/6.16
% 4.84/6.16 % Proof found!
% 4.84/6.16 % SZS status Theorem
% 4.84/6.16 % SZS output start CNFRefutation
% See solution above
% 4.84/6.16 % Parsed axioms : 95
% 4.84/6.16 % Removed by relevancy pruning/SinE : 0
% 4.84/6.16 % Initial clauses : 121
% 4.84/6.16 % Removed in clause preprocessing : 0
% 4.84/6.16 % Initial clauses in saturation : 121
% 4.84/6.16 % Processed clauses : 2583
% 4.84/6.16 % ...of these trivial : 243
% 4.84/6.16 % ...subsumed : 90
% 4.84/6.16 % ...remaining for further processing : 2250
% 4.84/6.16 % Other redundant clauses eliminated : 0
% 4.84/6.16 % Clauses deleted for lack of memory : 0
% 4.84/6.16 % Backward-subsumed : 9
% 4.84/6.16 % Backward-rewritten : 1951
% 4.84/6.16 % Generated clauses : 16967
% 4.84/6.16 % ...of the previous two non-redundant : 8044
% 4.84/6.16 % ...aggressively subsumed : 0
% 4.84/6.16 % Contextual simplify-reflections : 3
% 4.84/6.16 % Paramodulations : 16967
% 4.84/6.16 % Factorizations : 0
% 4.84/6.16 % NegExts : 0
% 4.84/6.16 % Equation resolutions : 0
% 4.84/6.16 % Disequality decompositions : 0
% 4.84/6.16 % Total rewrite steps : 12034
% 4.84/6.16 % ...of those cached : 9660
% 4.84/6.16 % Propositional unsat checks : 0
% 4.84/6.16 % Propositional check models : 0
% 4.84/6.16 % Propositional check unsatisfiable : 0
% 4.84/6.16 % Propositional clauses : 0
% 4.84/6.16 % Propositional clauses after purity: 0
% 4.84/6.16 % Propositional unsat core size : 0
% 4.84/6.16 % Propositional preprocessing time : 0.000
% 4.84/6.16 % Propositional encoding time : 0.000
% 4.84/6.16 % Propositional solver time : 0.000
% 4.84/6.16 % Success case prop preproc time : 0.000
% 4.84/6.16 % Success case prop encoding time : 0.000
% 4.84/6.16 % Success case prop solver time : 0.000
% 4.84/6.16 % Current number of processed clauses : 170
% 4.84/6.16 % Positive orientable unit clauses : 77
% 4.84/6.16 % Positive unorientable unit clauses: 0
% 4.84/6.16 % Negative unit clauses : 0
% 4.84/6.16 % Non-unit-clauses : 93
% 4.84/6.16 % Current number of unprocessed clauses: 5592
% 4.84/6.16 % ...number of literals in the above : 18851
% 4.84/6.16 % Current number of archived formulas : 0
% 4.84/6.16 % Current number of archived clauses : 2080
% 4.84/6.16 % Clause-clause subsumption calls (NU) : 123599
% 4.84/6.16 % Rec. Clause-clause subsumption calls : 103550
% 4.84/6.16 % Non-unit clause-clause subsumptions : 102
% 4.84/6.16 % Unit Clause-clause subsumption calls : 126185
% 4.84/6.16 % Rewrite failures with RHS unbound : 0
% 4.84/6.16 % BW rewrite match attempts : 12661
% 4.84/6.16 % BW rewrite match successes : 1354
% 4.84/6.16 % Condensation attempts : 0
% 4.84/6.16 % Condensation successes : 0
% 4.84/6.16 % Termbank termtop insertions : 175408
% 4.84/6.16 % Search garbage collected termcells : 2820
% 4.84/6.16
% 4.84/6.16 % -------------------------------------------------
% 4.84/6.16 % User time : 0.547 s
% 4.84/6.16 % System time : 0.023 s
% 4.84/6.16 % Total time : 0.570 s
% 4.84/6.16 % Maximum resident set size: 4304 pages
% 4.84/6.16
% 4.84/6.16 % -------------------------------------------------
% 4.84/6.16 % User time : 2.922 s
% 4.84/6.16 % System time : 0.129 s
% 4.84/6.16 % Total time : 3.051 s
% 4.84/6.16 % Maximum resident set size: 5120 pages
% 4.84/6.16 % E exiting
%------------------------------------------------------------------------------