%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET733+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 02:15:06 PM UTC 2026
% Result : Theorem 2.93s 0.95s
% Output : CNFRefutation 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 58 ( 6 unt; 0 def)
% Number of atoms : 379 ( 31 equ)
% Maximal formula atoms : 55 ( 6 avg)
% Number of connectives : 555 ( 234 ~; 265 |; 43 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-7 aty)
% Number of variables : 262 ( 0 sgn 64 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3,X7,X8] :
( ( member(X8,X2)
& member(X7,X2)
& member(X3,X1) )
=> ( ( apply(X6,X3,X8)
& apply(X6,X3,X7) )
=> X7 = X8 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X5] :
( apply(X6,X3,X5)
& member(X5,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',maps) ).
fof(compose_function,axiom,
! [X10,X6,X1,X2,X11,X3,X12] :
( ( member(X12,X11)
& member(X3,X1) )
=> ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
<=> ? [X5] :
( apply(X10,X5,X12)
& apply(X6,X3,X5)
& member(X5,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',compose_function) ).
fof(thII24,conjecture,
! [X6,X10,X1,X2] :
( ( identity(compose_function(X10,X6,X1,X2,X1),X1)
& maps(X10,X2,X1)
& maps(X6,X1,X2) )
=> injective(X6,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII24) ).
fof(identity,axiom,
! [X6,X1] :
( identity(X6,X1)
<=> ! [X3] :
( member(X3,X1)
=> apply(X6,X3,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',identity) ).
fof(injective,axiom,
! [X6,X1,X2] :
( injective(X6,X1,X2)
<=> ! [X13,X14,X5] :
( ( member(X5,X2)
& member(X14,X1)
& member(X13,X1) )
=> ( ( apply(X6,X14,X5)
& apply(X6,X13,X5) )
=> X13 = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',injective) ).
fof(c_0_5,plain,
! [X51,X52,X53,X54,X56,X57,X58,X59,X60,X61,X63] :
( ( maps(X59,X60,X61)
| ~ apply(X59,esk11_3(X59,X60,X61),X63)
| ~ member(X63,X61)
| esk13_3(X59,X60,X61) != esk14_3(X59,X60,X61) )
& ( maps(X59,X60,X61)
| ~ apply(X59,esk11_3(X59,X60,X61),X63)
| ~ member(X63,X61)
| apply(X59,esk12_3(X59,X60,X61),esk14_3(X59,X60,X61)) )
& ( maps(X59,X60,X61)
| ~ apply(X59,esk11_3(X59,X60,X61),X63)
| ~ member(X63,X61)
| apply(X59,esk12_3(X59,X60,X61),esk13_3(X59,X60,X61)) )
& ( maps(X59,X60,X61)
| ~ apply(X59,esk11_3(X59,X60,X61),X63)
| ~ member(X63,X61)
| member(esk14_3(X59,X60,X61),X61) )
& ( maps(X59,X60,X61)
| ~ apply(X59,esk11_3(X59,X60,X61),X63)
| ~ member(X63,X61)
| member(esk13_3(X59,X60,X61),X61) )
& ( maps(X59,X60,X61)
| ~ apply(X59,esk11_3(X59,X60,X61),X63)
| ~ member(X63,X61)
| member(esk12_3(X59,X60,X61),X60) )
& ( maps(X59,X60,X61)
| member(esk11_3(X59,X60,X61),X60)
| esk13_3(X59,X60,X61) != esk14_3(X59,X60,X61) )
& ( maps(X59,X60,X61)
| member(esk11_3(X59,X60,X61),X60)
| apply(X59,esk12_3(X59,X60,X61),esk14_3(X59,X60,X61)) )
& ( maps(X59,X60,X61)
| member(esk11_3(X59,X60,X61),X60)
| apply(X59,esk12_3(X59,X60,X61),esk13_3(X59,X60,X61)) )
& ( maps(X59,X60,X61)
| member(esk11_3(X59,X60,X61),X60)
| member(esk14_3(X59,X60,X61),X61) )
& ( maps(X59,X60,X61)
| member(esk11_3(X59,X60,X61),X60)
| member(esk13_3(X59,X60,X61),X61) )
& ( maps(X59,X60,X61)
| member(esk11_3(X59,X60,X61),X60)
| member(esk12_3(X59,X60,X61),X60) )
& ( ~ maps(X51,X52,X53)
| X57 = X58
| ~ apply(X51,X56,X58)
| ~ apply(X51,X56,X57)
| ~ member(X58,X53)
| ~ member(X57,X53)
| ~ member(X56,X52) )
& ( ~ maps(X51,X52,X53)
| ~ member(X54,X52)
| apply(X51,X54,esk10_4(X51,X52,X53,X54)) )
& ( ~ maps(X51,X52,X53)
| ~ member(X54,X52)
| member(esk10_4(X51,X52,X53,X54),X53) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[maps])])])])])])]) ).
fof(c_0_6,plain,
! [X42,X43,X44,X45,X46,X47,X48,X50] :
( ( ~ member(X48,X46)
| ~ member(X47,X44)
| apply(compose_function(X42,X43,X44,X45,X46),X47,X48)
| ~ apply(X42,X50,X48)
| ~ apply(X43,X47,X50)
| ~ member(X50,X45) )
& ( ~ member(X48,X46)
| ~ member(X47,X44)
| ~ apply(compose_function(X42,X43,X44,X45,X46),X47,X48)
| apply(X42,esk9_7(X42,X43,X44,X45,X46,X47,X48),X48) )
& ( ~ member(X48,X46)
| ~ member(X47,X44)
| ~ apply(compose_function(X42,X43,X44,X45,X46),X47,X48)
| apply(X43,X47,esk9_7(X42,X43,X44,X45,X46,X47,X48)) )
& ( ~ member(X48,X46)
| ~ member(X47,X44)
| ~ apply(compose_function(X42,X43,X44,X45,X46),X47,X48)
| member(esk9_7(X42,X43,X44,X45,X46,X47,X48),X45) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[compose_function])])])])])]) ).
cnf(c_0_7,plain,
( ~ maps(X6,X2,X4)
| ~ apply(X6,X1,X5)
| ~ apply(X6,X1,X3)
| ~ member(X5,X4)
| ~ member(X3,X4)
| ~ member(X1,X2)
| X3 = X5 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( ~ member(X7,X6)
| ~ member(X2,X4)
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7)
| apply(X1,X2,esk9_7(X3,X1,X4,X5,X6,X2,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( ~ member(X7,X4)
| ~ member(X8,X6)
| ~ member(X7,X9)
| ~ member(X1,X10)
| ~ member(esk9_7(X2,X3,X4,X5,X6,X7,X8),X10)
| ~ maps(X3,X9,X10)
| ~ apply(X3,X7,X1)
| ~ apply(compose_function(X2,X3,X4,X5,X6),X7,X8)
| X1 = esk9_7(X2,X3,X4,X5,X6,X7,X8) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
( ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| member(esk9_7(X1,X2,X3,X4,X5,X6,X7),X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( ~ member(X7,X4)
| ~ member(X8,X6)
| ~ member(X7,X9)
| ~ member(X1,X5)
| ~ maps(X3,X9,X5)
| ~ apply(X3,X7,X1)
| ~ apply(compose_function(X2,X3,X4,X5,X6),X7,X8)
| X1 = esk9_7(X2,X3,X4,X5,X6,X7,X8) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
( ~ maps(X1,X3,X4)
| ~ member(X2,X3)
| apply(X1,X2,esk10_4(X1,X3,X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_13,negated_conjecture,
~ ! [X6,X10,X1,X2] :
( ( identity(compose_function(X10,X6,X1,X2,X1),X1)
& maps(X10,X2,X1)
& maps(X6,X1,X2) )
=> injective(X6,X1,X2) ),
inference(assume_negation,[status(cth)],[thII24]) ).
cnf(c_0_14,plain,
( ~ member(X4,X2)
| ~ member(X4,X6)
| ~ member(X9,X8)
| ~ member(X4,X10)
| ~ member(esk10_4(X1,X2,X3,X4),X7)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X10,X7)
| ~ apply(compose_function(X5,X1,X6,X7,X8),X4,X9)
| esk10_4(X1,X2,X3,X4) = esk9_7(X5,X1,X6,X7,X8,X4,X9) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( ~ maps(X1,X2,X3)
| ~ member(X4,X2)
| member(esk10_4(X1,X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_16,negated_conjecture,
( ~ injective(esk1_0,esk3_0,esk4_0)
& identity(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk3_0),esk3_0)
& maps(esk2_0,esk4_0,esk3_0)
& maps(esk1_0,esk3_0,esk4_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_17,plain,
( ~ member(X4,X2)
| ~ member(X4,X6)
| ~ member(X8,X7)
| ~ member(X4,X9)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X9,X3)
| ~ apply(compose_function(X5,X1,X6,X3,X7),X4,X8)
| esk10_4(X1,X2,X3,X4) = esk9_7(X5,X1,X6,X3,X7,X4,X8) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
maps(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X36,X37,X38,X39,X40] :
( ( identity(X39,X40)
| ~ apply(X39,esk8_2(X39,X40),esk8_2(X39,X40)) )
& ( identity(X39,X40)
| member(esk8_2(X39,X40),X40) )
& ( apply(X36,X38,X38)
| ~ member(X38,X37)
| ~ identity(X36,X37) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[identity])])])])])])]) ).
cnf(c_0_20,plain,
( ~ member(X5,X3)
| ~ member(X5,X6)
| ~ member(X1,X7)
| ~ member(esk10_4(X2,X3,X4,X5),X7)
| ~ maps(X2,X3,X4)
| ~ maps(X2,X6,X7)
| ~ apply(X2,X5,X1)
| X1 = esk10_4(X2,X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_21,plain,
( ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| apply(X1,esk9_7(X1,X2,X3,X4,X5,X6,X7),X7) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X2,X4)
| ~ member(X6,X5)
| ~ member(X2,esk3_0)
| ~ maps(esk1_0,X1,esk4_0)
| ~ apply(compose_function(X3,esk1_0,X4,esk4_0,X5),X2,X6)
| esk10_4(esk1_0,X1,esk4_0,X2) = esk9_7(X3,esk1_0,X4,esk4_0,X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( ~ member(X3,X2)
| ~ identity(X1,X2)
| apply(X1,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
identity(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk3_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( ~ member(X5,X3)
| ~ member(X5,X6)
| ~ member(X1,X4)
| ~ maps(X2,X3,X4)
| ~ maps(X2,X6,X4)
| ~ apply(X2,X5,X1)
| X1 = esk10_4(X2,X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,X5)
| ~ member(X4,X6)
| ~ member(X3,esk3_0)
| ~ maps(esk1_0,X2,esk4_0)
| ~ apply(compose_function(X1,esk1_0,X5,esk4_0,X6),X3,X4)
| apply(X1,esk10_4(esk1_0,X2,esk4_0,X3),X4) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( ~ member(X1,esk3_0)
| apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk3_0),X1,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( ~ member(X4,X2)
| ~ member(X4,X5)
| ~ member(X4,X7)
| ~ member(esk10_4(X1,X2,X3,X4),X6)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X5,X6)
| ~ maps(X1,X7,X6)
| esk10_4(X1,X2,X3,X4) = esk10_4(X1,X5,X6,X4) ),
inference(spm,[status(thm)],[c_0_25,c_0_12]) ).
cnf(c_0_29,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X2,esk3_0)
| ~ maps(esk1_0,X1,esk4_0)
| apply(esk2_0,esk10_4(esk1_0,X1,esk4_0,X2),X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
( ~ member(X4,X2)
| ~ member(X4,X5)
| ~ member(X4,X6)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X5,X3)
| ~ maps(X1,X6,X3)
| esk10_4(X1,X2,X3,X4) = esk10_4(X1,X5,X3,X4) ),
inference(spm,[status(thm)],[c_0_28,c_0_15]) ).
cnf(c_0_31,negated_conjecture,
maps(esk2_0,esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( ~ member(X4,X3)
| ~ member(X4,X2)
| ~ member(X4,esk3_0)
| ~ member(esk10_4(esk1_0,X3,esk4_0,X4),X1)
| ~ member(esk10_4(esk1_0,X3,esk4_0,X4),X5)
| ~ maps(esk2_0,X1,X2)
| ~ maps(esk2_0,X5,X2)
| ~ maps(esk1_0,X3,esk4_0)
| esk10_4(esk2_0,X1,X2,esk10_4(esk1_0,X3,esk4_0,X4)) = X4 ),
inference(spm,[status(thm)],[c_0_25,c_0_29]) ).
fof(c_0_33,plain,
! [X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( injective(X27,X28,X29)
| esk5_3(X27,X28,X29) != esk6_3(X27,X28,X29) )
& ( injective(X27,X28,X29)
| apply(X27,esk6_3(X27,X28,X29),esk7_3(X27,X28,X29)) )
& ( injective(X27,X28,X29)
| apply(X27,esk5_3(X27,X28,X29),esk7_3(X27,X28,X29)) )
& ( injective(X27,X28,X29)
| member(esk7_3(X27,X28,X29),X29) )
& ( injective(X27,X28,X29)
| member(esk6_3(X27,X28,X29),X28) )
& ( injective(X27,X28,X29)
| member(esk5_3(X27,X28,X29),X28) )
& ( X24 = X25
| ~ apply(X21,X25,X26)
| ~ apply(X21,X24,X26)
| ~ member(X26,X23)
| ~ member(X25,X22)
| ~ member(X24,X22)
| ~ injective(X21,X22,X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[injective])])])])])])]) ).
cnf(c_0_34,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X2,X3)
| ~ member(X2,esk4_0)
| ~ maps(esk2_0,X1,esk3_0)
| ~ maps(esk2_0,X3,esk3_0)
| esk10_4(esk2_0,X1,esk3_0,X2) = esk10_4(esk2_0,X3,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( ~ member(X4,X3)
| ~ member(X4,X2)
| ~ member(X4,esk3_0)
| ~ member(esk10_4(esk1_0,X3,esk4_0,X4),X1)
| ~ maps(esk2_0,X1,X2)
| ~ maps(esk2_0,esk4_0,X2)
| ~ maps(esk1_0,X3,esk4_0)
| esk10_4(esk2_0,X1,X2,esk10_4(esk1_0,X3,esk4_0,X4)) = X4 ),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_36,plain,
( injective(X1,X2,X3)
| apply(X1,esk6_3(X1,X2,X3),esk7_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
( injective(X1,X2,X3)
| apply(X1,esk5_3(X1,X2,X3),esk7_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,esk3_0)
| ~ member(esk10_4(esk1_0,X2,esk4_0,X3),X4)
| ~ member(esk10_4(esk1_0,X2,esk4_0,X3),X1)
| ~ maps(esk1_0,X2,esk4_0)
| ~ maps(esk2_0,X4,esk3_0)
| ~ maps(esk2_0,X1,esk3_0)
| esk10_4(esk2_0,X1,esk3_0,esk10_4(esk1_0,X2,esk4_0,X3)) = X3 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_31])]),c_0_15]) ).
cnf(c_0_39,plain,
( ~ member(esk6_3(X1,X4,X5),X2)
| ~ member(esk6_3(X1,X4,X5),X6)
| ~ member(esk7_3(X1,X4,X5),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X6,X3)
| injective(X1,X4,X5)
| esk10_4(X1,X2,X3,esk6_3(X1,X4,X5)) = esk7_3(X1,X4,X5) ),
inference(spm,[status(thm)],[c_0_25,c_0_36]) ).
cnf(c_0_40,plain,
( injective(X1,X2,X3)
| member(esk6_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( ~ member(esk5_3(X1,X4,X5),X2)
| ~ member(esk5_3(X1,X4,X5),X6)
| ~ member(esk7_3(X1,X4,X5),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X6,X3)
| injective(X1,X4,X5)
| esk10_4(X1,X2,X3,esk5_3(X1,X4,X5)) = esk7_3(X1,X4,X5) ),
inference(spm,[status(thm)],[c_0_25,c_0_37]) ).
cnf(c_0_42,plain,
( injective(X1,X2,X3)
| member(esk5_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,esk3_0)
| ~ member(esk10_4(esk1_0,X2,esk4_0,X3),X1)
| ~ maps(esk1_0,X2,esk4_0)
| ~ maps(esk2_0,X1,esk3_0)
| esk10_4(esk2_0,X1,esk3_0,esk10_4(esk1_0,X2,esk4_0,X3)) = X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_15]),c_0_31])]) ).
cnf(c_0_44,plain,
( ~ member(esk6_3(X1,X4,X5),X2)
| ~ member(esk7_3(X1,X4,X5),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| injective(X1,X4,X5)
| esk10_4(X1,X2,X3,esk6_3(X1,X4,X5)) = esk7_3(X1,X4,X5) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
( ~ member(esk5_3(X1,X4,X5),X2)
| ~ member(esk7_3(X1,X4,X5),X3)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X4,X3)
| injective(X1,X4,X5)
| esk10_4(X1,X2,X3,esk5_3(X1,X4,X5)) = esk7_3(X1,X4,X5) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( ~ member(esk6_3(esk1_0,X2,X3),X4)
| ~ member(esk7_3(esk1_0,X2,X3),X1)
| ~ member(esk7_3(esk1_0,X2,X3),esk4_0)
| ~ member(esk6_3(esk1_0,X2,X3),esk3_0)
| ~ maps(esk1_0,X2,esk4_0)
| ~ maps(esk1_0,X4,esk4_0)
| ~ maps(esk2_0,X1,esk3_0)
| injective(esk1_0,X2,X3)
| esk10_4(esk2_0,X1,esk3_0,esk7_3(esk1_0,X2,X3)) = esk6_3(esk1_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( ~ member(esk5_3(esk1_0,X2,X3),X4)
| ~ member(esk7_3(esk1_0,X2,X3),X1)
| ~ member(esk7_3(esk1_0,X2,X3),esk4_0)
| ~ member(esk5_3(esk1_0,X2,X3),esk3_0)
| ~ maps(esk1_0,X2,esk4_0)
| ~ maps(esk1_0,X4,esk4_0)
| ~ maps(esk2_0,X1,esk3_0)
| injective(esk1_0,X2,X3)
| esk10_4(esk2_0,X1,esk3_0,esk7_3(esk1_0,X2,X3)) = esk5_3(esk1_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( ~ member(esk7_3(esk1_0,X2,X3),X1)
| ~ member(esk7_3(esk1_0,X2,X3),esk4_0)
| ~ member(esk6_3(esk1_0,X2,X3),esk3_0)
| ~ maps(esk1_0,X2,esk4_0)
| ~ maps(esk2_0,X1,esk3_0)
| injective(esk1_0,X2,X3)
| esk10_4(esk2_0,X1,esk3_0,esk7_3(esk1_0,X2,X3)) = esk6_3(esk1_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_40]) ).
cnf(c_0_49,negated_conjecture,
( ~ member(esk7_3(esk1_0,X2,X3),X1)
| ~ member(esk7_3(esk1_0,X2,X3),esk4_0)
| ~ member(esk5_3(esk1_0,X2,X3),esk3_0)
| ~ maps(esk1_0,X2,esk4_0)
| ~ maps(esk2_0,X1,esk3_0)
| injective(esk1_0,X2,X3)
| esk10_4(esk2_0,X1,esk3_0,esk7_3(esk1_0,X2,X3)) = esk5_3(esk1_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_42]) ).
cnf(c_0_50,plain,
( esk5_3(X1,X2,X3) != esk6_3(X1,X2,X3)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_51,negated_conjecture,
( ~ member(esk7_3(esk1_0,X1,X2),X3)
| ~ member(esk5_3(esk1_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk1_0,X1,X2),esk4_0)
| ~ member(esk6_3(esk1_0,X1,X2),esk3_0)
| ~ maps(esk1_0,X1,esk4_0)
| ~ maps(esk2_0,X3,esk3_0)
| injective(esk1_0,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_52,plain,
( injective(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_53,negated_conjecture,
( ~ member(esk7_3(esk1_0,X1,esk4_0),X2)
| ~ member(esk5_3(esk1_0,X1,esk4_0),esk3_0)
| ~ member(esk6_3(esk1_0,X1,esk4_0),esk3_0)
| ~ maps(esk1_0,X1,esk4_0)
| ~ maps(esk2_0,X2,esk3_0)
| injective(esk1_0,X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,negated_conjecture,
( ~ member(esk5_3(esk1_0,X1,esk4_0),esk3_0)
| ~ member(esk6_3(esk1_0,X1,esk4_0),esk3_0)
| ~ maps(esk1_0,X1,esk4_0)
| injective(esk1_0,X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_52]),c_0_31])]) ).
cnf(c_0_55,negated_conjecture,
~ injective(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_56,negated_conjecture,
~ member(esk5_3(esk1_0,esk3_0,esk4_0),esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_40]),c_0_18])]),c_0_55]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_42]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET733+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 05:38:21 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 2.93/0.95 % Version: 3.5.1
% 2.93/0.95 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.93/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.93/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.93/0.95 % Starting new_bool_3 with 300s (1) cores
% 2.93/0.95 % Starting new_bool_1 with 300s (1) cores
% 2.93/0.95 % Starting sh5l with 300s (1) cores
% 2.93/0.95 % sh5l with pid 668009 completed with status 0
% 2.93/0.95 % Result found by sh5l
% 2.93/0.95 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.93/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.93/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.93/0.95 % Starting new_bool_3 with 300s (1) cores
% 2.93/0.95 % Starting new_bool_1 with 300s (1) cores
% 2.93/0.95 % Starting sh5l with 300s (1) cores
% 2.93/0.95 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 2.93/0.95 % SinE strategy is gf500_gu_R04_F100_L20000
% 2.93/0.95 % Search class: FGUSF-FFMS33-SFFFFFNN
% 2.93/0.95 % partial match(1): FGUSS-FFMS33-SFFFFFNN
% 2.93/0.95 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.93/0.95 % Starting SubtermCWHack with 28s (1) cores
% 2.93/0.95 % SubtermCWHack with pid 668012 completed with status 0
% 2.93/0.95 % Result found by SubtermCWHack
% 2.93/0.95 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.93/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.93/0.95 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.93/0.95 % Starting new_bool_3 with 300s (1) cores
% 2.93/0.95 % Starting new_bool_1 with 300s (1) cores
% 2.93/0.95 % Starting sh5l with 300s (1) cores
% 2.93/0.95 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 2.93/0.95 % SinE strategy is gf500_gu_R04_F100_L20000
% 2.93/0.95 % Search class: FGUSF-FFMS33-SFFFFFNN
% 2.93/0.95 % partial match(1): FGUSS-FFMS33-SFFFFFNN
% 2.93/0.95 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.93/0.95 % Starting SubtermCWHack with 28s (1) cores
% 2.93/0.95 % Preprocessing time : 0.003 s
% 2.93/0.95
% 2.93/0.95 % Proof found!
% 2.93/0.95 % SZS status Theorem
% 2.93/0.95 % SZS output start CNFRefutation
% See solution above
% 2.93/0.96 % Parsed axioms : 29
% 2.93/0.96 % Removed by relevancy pruning/SinE : 21
% 2.93/0.96 % Initial clauses : 52
% 2.93/0.96 % Removed in clause preprocessing : 0
% 2.93/0.96 % Initial clauses in saturation : 52
% 2.93/0.96 % Processed clauses : 1059
% 2.93/0.96 % ...of these trivial : 0
% 2.93/0.96 % ...subsumed : 475
% 2.93/0.96 % ...remaining for further processing : 584
% 2.93/0.96 % Other redundant clauses eliminated : 0
% 2.93/0.96 % Clauses deleted for lack of memory : 0
% 2.93/0.96 % Backward-subsumed : 52
% 2.93/0.96 % Backward-rewritten : 0
% 2.93/0.96 % Generated clauses : 6543
% 2.93/0.96 % ...of the previous two non-redundant : 6447
% 2.93/0.96 % ...aggressively subsumed : 0
% 2.93/0.96 % Contextual simplify-reflections : 14
% 2.93/0.96 % Paramodulations : 6543
% 2.93/0.96 % Factorizations : 0
% 2.93/0.96 % NegExts : 0
% 2.93/0.96 % Equation resolutions : 0
% 2.93/0.96 % Disequality decompositions : 0
% 2.93/0.96 % Total rewrite steps : 181
% 2.93/0.96 % ...of those cached : 177
% 2.93/0.96 % Propositional unsat checks : 0
% 2.93/0.96 % Propositional check models : 0
% 2.93/0.96 % Propositional check unsatisfiable : 0
% 2.93/0.96 % Propositional clauses : 0
% 2.93/0.96 % Propositional clauses after purity: 0
% 2.93/0.96 % Propositional unsat core size : 0
% 2.93/0.96 % Propositional preprocessing time : 0.000
% 2.93/0.96 % Propositional encoding time : 0.000
% 2.93/0.96 % Propositional solver time : 0.000
% 2.93/0.96 % Success case prop preproc time : 0.000
% 2.93/0.96 % Success case prop encoding time : 0.000
% 2.93/0.96 % Success case prop solver time : 0.000
% 2.93/0.96 % Current number of processed clauses : 532
% 2.93/0.96 % Positive orientable unit clauses : 5
% 2.93/0.96 % Positive unorientable unit clauses: 0
% 2.93/0.96 % Negative unit clauses : 4
% 2.93/0.96 % Non-unit-clauses : 523
% 2.93/0.96 % Current number of unprocessed clauses: 5401
% 2.93/0.96 % ...number of literals in the above : 64679
% 2.93/0.96 % Current number of archived formulas : 0
% 2.93/0.96 % Current number of archived clauses : 52
% 2.93/0.96 % Clause-clause subsumption calls (NU) : 111415
% 2.93/0.96 % Rec. Clause-clause subsumption calls : 3018
% 2.93/0.96 % Non-unit clause-clause subsumptions : 522
% 2.93/0.96 % Unit Clause-clause subsumption calls : 504
% 2.93/0.96 % Rewrite failures with RHS unbound : 0
% 2.93/0.96 % BW rewrite match attempts : 1
% 2.93/0.96 % BW rewrite match successes : 0
% 2.93/0.96 % Condensation attempts : 0
% 2.93/0.96 % Condensation successes : 0
% 2.93/0.96 % Termbank termtop insertions : 330464
% 2.93/0.96 % Search garbage collected termcells : 1393
% 2.93/0.96
% 2.93/0.96 % -------------------------------------------------
% 2.93/0.96 % User time : 0.418 s
% 2.93/0.96 % System time : 0.011 s
% 2.93/0.96 % Total time : 0.429 s
% 2.93/0.96 % Maximum resident set size: 3692 pages
% 2.93/0.96
% 2.93/0.96 % -------------------------------------------------
% 2.93/0.96 % User time : 0.423 s
% 2.93/0.96 % System time : 0.017 s
% 2.93/0.96 % Total time : 0.440 s
% 2.93/0.96 % Maximum resident set size: 4608 pages
% 2.93/0.96 % E exiting
%------------------------------------------------------------------------------