%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET742+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 02:15:07 PM UTC 2026
% Result : Theorem 11.75s 12.09s
% Output : CNFRefutation 11.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 6
% Syntax : Number of formulae : 96 ( 11 unt; 0 def)
% Number of atoms : 569 ( 37 equ)
% Maximal formula atoms : 55 ( 5 avg)
% Number of connectives : 852 ( 379 ~; 405 |; 54 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-7 aty)
% Number of variables : 403 ( 3 sgn 78 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII33,conjecture,
! [X6,X10,X9,X1,X2,X11] :
( ( one_to_one(compose_function(X9,X10,X2,X11,X1),X2,X1)
& one_to_one(compose_function(X10,X6,X1,X2,X11),X1,X11)
& maps(X9,X11,X1)
& maps(X10,X2,X11)
& maps(X6,X1,X2) )
=> one_to_one(X6,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII33) ).
fof(one_to_one,axiom,
! [X6,X1,X2] :
( one_to_one(X6,X1,X2)
<=> ( surjective(X6,X1,X2)
& injective(X6,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',one_to_one) ).
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/sandbox/benchmark/Axioms/SET006+1.ax',injective) ).
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/sandbox/benchmark/Axioms/SET006+1.ax',compose_function) ).
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/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).
fof(surjective,axiom,
! [X6,X1,X2] :
( surjective(X6,X1,X2)
<=> ! [X5] :
( member(X5,X2)
=> ? [X4] :
( apply(X6,X4,X5)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',surjective) ).
fof(c_0_6,negated_conjecture,
~ ! [X6,X10,X9,X1,X2,X11] :
( ( one_to_one(compose_function(X9,X10,X2,X11,X1),X2,X1)
& one_to_one(compose_function(X10,X6,X1,X2,X11),X1,X11)
& maps(X9,X11,X1)
& maps(X10,X2,X11)
& maps(X6,X1,X2) )
=> one_to_one(X6,X1,X2) ),
inference(assume_negation,[status(cth)],[thII33]) ).
fof(c_0_7,plain,
! [X23,X24,X25] :
( ( one_to_one(X23,X24,X25)
| ~ surjective(X23,X24,X25)
| ~ injective(X23,X24,X25) )
& ( ~ one_to_one(X23,X24,X25)
| surjective(X23,X24,X25) )
& ( ~ one_to_one(X23,X24,X25)
| injective(X23,X24,X25) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_to_one])])])]) ).
fof(c_0_8,negated_conjecture,
( ~ one_to_one(esk1_0,esk4_0,esk5_0)
& one_to_one(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0)
& one_to_one(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0)
& maps(esk3_0,esk6_0,esk4_0)
& maps(esk2_0,esk5_0,esk6_0)
& maps(esk1_0,esk4_0,esk5_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_9,plain,
! [X61,X62,X63,X64,X65,X66,X67,X68,X69] :
( ( injective(X67,X68,X69)
| esk15_3(X67,X68,X69) != esk16_3(X67,X68,X69) )
& ( injective(X67,X68,X69)
| apply(X67,esk16_3(X67,X68,X69),esk17_3(X67,X68,X69)) )
& ( injective(X67,X68,X69)
| apply(X67,esk15_3(X67,X68,X69),esk17_3(X67,X68,X69)) )
& ( injective(X67,X68,X69)
| member(esk17_3(X67,X68,X69),X69) )
& ( injective(X67,X68,X69)
| member(esk16_3(X67,X68,X69),X68) )
& ( injective(X67,X68,X69)
| member(esk15_3(X67,X68,X69),X68) )
& ( X64 = X65
| ~ apply(X61,X65,X66)
| ~ apply(X61,X64,X66)
| ~ member(X66,X63)
| ~ member(X65,X62)
| ~ member(X64,X62)
| ~ injective(X61,X62,X63) ) ),
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_10,plain,
( ~ one_to_one(X1,X2,X3)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
one_to_one(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X26,X27,X28,X29,X30,X31,X32,X34] :
( ( ~ member(X32,X30)
| ~ member(X31,X28)
| apply(compose_function(X26,X27,X28,X29,X30),X31,X32)
| ~ apply(X26,X34,X32)
| ~ apply(X27,X31,X34)
| ~ member(X34,X29) )
& ( ~ member(X32,X30)
| ~ member(X31,X28)
| ~ apply(compose_function(X26,X27,X28,X29,X30),X31,X32)
| apply(X26,esk7_7(X26,X27,X28,X29,X30,X31,X32),X32) )
& ( ~ member(X32,X30)
| ~ member(X31,X28)
| ~ apply(compose_function(X26,X27,X28,X29,X30),X31,X32)
| apply(X27,X31,esk7_7(X26,X27,X28,X29,X30,X31,X32)) )
& ( ~ member(X32,X30)
| ~ member(X31,X28)
| ~ apply(compose_function(X26,X27,X28,X29,X30),X31,X32)
| member(esk7_7(X26,X27,X28,X29,X30,X31,X32),X29) ) ),
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])])])])])]) ).
fof(c_0_13,plain,
! [X35,X36,X37,X38,X40,X41,X42,X43,X44,X45,X47] :
( ( maps(X43,X44,X45)
| ~ apply(X43,esk9_3(X43,X44,X45),X47)
| ~ member(X47,X45)
| esk11_3(X43,X44,X45) != esk12_3(X43,X44,X45) )
& ( maps(X43,X44,X45)
| ~ apply(X43,esk9_3(X43,X44,X45),X47)
| ~ member(X47,X45)
| apply(X43,esk10_3(X43,X44,X45),esk12_3(X43,X44,X45)) )
& ( maps(X43,X44,X45)
| ~ apply(X43,esk9_3(X43,X44,X45),X47)
| ~ member(X47,X45)
| apply(X43,esk10_3(X43,X44,X45),esk11_3(X43,X44,X45)) )
& ( maps(X43,X44,X45)
| ~ apply(X43,esk9_3(X43,X44,X45),X47)
| ~ member(X47,X45)
| member(esk12_3(X43,X44,X45),X45) )
& ( maps(X43,X44,X45)
| ~ apply(X43,esk9_3(X43,X44,X45),X47)
| ~ member(X47,X45)
| member(esk11_3(X43,X44,X45),X45) )
& ( maps(X43,X44,X45)
| ~ apply(X43,esk9_3(X43,X44,X45),X47)
| ~ member(X47,X45)
| member(esk10_3(X43,X44,X45),X44) )
& ( maps(X43,X44,X45)
| member(esk9_3(X43,X44,X45),X44)
| esk11_3(X43,X44,X45) != esk12_3(X43,X44,X45) )
& ( maps(X43,X44,X45)
| member(esk9_3(X43,X44,X45),X44)
| apply(X43,esk10_3(X43,X44,X45),esk12_3(X43,X44,X45)) )
& ( maps(X43,X44,X45)
| member(esk9_3(X43,X44,X45),X44)
| apply(X43,esk10_3(X43,X44,X45),esk11_3(X43,X44,X45)) )
& ( maps(X43,X44,X45)
| member(esk9_3(X43,X44,X45),X44)
| member(esk12_3(X43,X44,X45),X45) )
& ( maps(X43,X44,X45)
| member(esk9_3(X43,X44,X45),X44)
| member(esk11_3(X43,X44,X45),X45) )
& ( maps(X43,X44,X45)
| member(esk9_3(X43,X44,X45),X44)
| member(esk10_3(X43,X44,X45),X44) )
& ( ~ maps(X35,X36,X37)
| X41 = X42
| ~ apply(X35,X40,X42)
| ~ apply(X35,X40,X41)
| ~ member(X42,X37)
| ~ member(X41,X37)
| ~ member(X40,X36) )
& ( ~ maps(X35,X36,X37)
| ~ member(X38,X36)
| apply(X35,X38,esk8_4(X35,X36,X37,X38)) )
& ( ~ maps(X35,X36,X37)
| ~ member(X38,X36)
| member(esk8_4(X35,X36,X37,X38),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)],[maps])])])])])])]) ).
cnf(c_0_14,plain,
( ~ apply(X1,X5,X6)
| ~ apply(X1,X4,X6)
| ~ member(X6,X3)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ injective(X1,X2,X3)
| X4 = X5 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
injective(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( ~ member(X6,X8)
| ~ member(X4,X7)
| ~ apply(X5,X1,X6)
| ~ apply(X3,X4,X1)
| ~ member(X1,X2)
| apply(compose_function(X5,X3,X7,X2,X8),X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( ~ maps(X1,X3,X4)
| ~ member(X2,X3)
| apply(X1,X2,esk8_4(X1,X3,X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( ~ member(X1,esk5_0)
| ~ member(X2,esk5_0)
| ~ member(X3,esk4_0)
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),X1,X3)
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( ~ member(X9,X7)
| ~ member(X9,X4)
| ~ member(X6,X3)
| ~ member(esk8_4(X1,X7,X8,X9),X5)
| ~ maps(X1,X7,X8)
| ~ apply(X2,X6,X9)
| apply(compose_function(X1,X2,X3,X4,X5),X6,esk8_4(X1,X7,X8,X9)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( ~ member(X5,X3)
| ~ member(X5,esk6_0)
| ~ member(X1,esk5_0)
| ~ member(X2,esk5_0)
| ~ member(esk8_4(esk3_0,X3,X4,X5),esk4_0)
| ~ maps(esk3_0,X3,X4)
| ~ apply(esk2_0,X2,X5)
| ~ apply(compose_function(esk3_0,esk2_0,esk5_0,esk6_0,esk4_0),X1,esk8_4(esk3_0,X3,X4,X5))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( ~ member(X3,X4)
| ~ member(X3,esk6_0)
| ~ member(X1,esk5_0)
| ~ member(X2,esk5_0)
| ~ member(esk8_4(esk3_0,X4,X5,X3),esk4_0)
| ~ maps(esk3_0,X4,X5)
| ~ apply(esk2_0,X1,X3)
| ~ apply(esk2_0,X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_22,plain,
( ~ maps(X1,X2,X3)
| ~ member(X4,X2)
| member(esk8_4(X1,X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( ~ member(X3,X4)
| ~ member(X3,esk6_0)
| ~ member(X1,esk5_0)
| ~ member(X2,esk5_0)
| ~ maps(esk3_0,X4,esk4_0)
| ~ apply(esk2_0,X1,X3)
| ~ apply(esk2_0,X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
maps(esk3_0,esk6_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,negated_conjecture,
( ~ member(X3,esk6_0)
| ~ member(X1,esk5_0)
| ~ member(X2,esk5_0)
| ~ apply(esk2_0,X1,X3)
| ~ apply(esk2_0,X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,plain,
( ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| apply(X1,esk7_7(X1,X2,X3,X4,X5,X6,X7),X7) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,negated_conjecture,
( ~ member(X6,X3)
| ~ member(X7,X5)
| ~ member(X7,esk6_0)
| ~ member(X1,esk5_0)
| ~ member(esk7_7(esk2_0,X2,X3,X4,X5,X6,X7),esk5_0)
| ~ apply(esk2_0,X1,X7)
| ~ apply(compose_function(esk2_0,X2,X3,X4,X5),X6,X7)
| X1 = esk7_7(esk2_0,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,plain,
( ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| member(esk7_7(X1,X2,X3,X4,X5,X6,X7),X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_29,plain,
! [X51,X52,X53,X54,X56,X57,X58,X60] :
( ( surjective(X56,X57,X58)
| ~ apply(X56,X60,esk14_3(X56,X57,X58))
| ~ member(X60,X57) )
& ( surjective(X56,X57,X58)
| member(esk14_3(X56,X57,X58),X58) )
& ( ~ surjective(X51,X52,X53)
| ~ member(X54,X53)
| apply(X51,esk13_4(X51,X52,X53,X54),X54) )
& ( ~ surjective(X51,X52,X53)
| ~ member(X54,X53)
| member(esk13_4(X51,X52,X53,X54),X52) ) ),
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)],[surjective])])])])])])]) ).
cnf(c_0_30,negated_conjecture,
one_to_one(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,negated_conjecture,
( ~ member(X5,X3)
| ~ member(X6,X4)
| ~ member(X6,esk6_0)
| ~ member(X1,esk5_0)
| ~ apply(esk2_0,X1,X6)
| ~ apply(compose_function(esk2_0,X2,X3,esk5_0,X4),X5,X6)
| X1 = esk7_7(esk2_0,X2,X3,esk5_0,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
( ~ surjective(X1,X2,X3)
| ~ member(X4,X3)
| apply(X1,esk13_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
injective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_10,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X7,X5)
| ~ member(X3,X6)
| ~ member(X3,esk6_0)
| ~ member(esk13_4(esk2_0,X1,X2,X3),esk5_0)
| ~ apply(compose_function(esk2_0,X4,X5,esk5_0,X6),X7,X3)
| ~ surjective(esk2_0,X1,X2)
| esk13_4(esk2_0,X1,X2,X3) = esk7_7(esk2_0,X4,X5,esk5_0,X6,X7,X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
( ~ surjective(X1,X2,X3)
| ~ member(X4,X3)
| member(esk13_4(X1,X2,X3,X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( ~ member(X1,esk4_0)
| ~ member(X2,esk4_0)
| ~ member(X3,esk6_0)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X3)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_14,c_0_33]) ).
cnf(c_0_37,plain,
( ~ member(X7,X6)
| ~ member(X2,X4)
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7)
| apply(X1,X2,esk7_7(X3,X1,X4,X5,X6,X2,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X6,X4)
| ~ member(X2,X5)
| ~ member(X2,esk6_0)
| ~ apply(compose_function(esk2_0,X3,X4,esk5_0,X5),X6,X2)
| ~ surjective(esk2_0,esk5_0,X1)
| esk13_4(esk2_0,esk5_0,X1,X2) = esk7_7(esk2_0,X3,X4,esk5_0,X5,X6,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( ~ member(X4,X3)
| ~ member(X1,esk4_0)
| ~ member(X4,esk6_0)
| ~ member(esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3,X4),esk4_0)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X4)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3)
| X1 = esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( ~ member(X4,X3)
| ~ member(X2,X5)
| ~ member(X4,X6)
| ~ member(X4,esk6_0)
| ~ apply(compose_function(esk2_0,X1,X5,esk5_0,X6),X2,X4)
| ~ surjective(esk2_0,esk5_0,X3)
| apply(X1,X2,esk13_4(esk2_0,esk5_0,X3,X4)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X1,esk4_0)
| ~ member(X3,esk6_0)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X3)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2)
| X1 = esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_35]) ).
cnf(c_0_42,plain,
( ~ apply(X3,X1,esk14_3(X3,X2,X4))
| ~ member(X1,X2)
| surjective(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,negated_conjecture,
( ~ member(X6,X5)
| ~ member(X6,X7)
| ~ member(X6,X3)
| ~ member(X6,esk6_0)
| ~ member(esk13_4(compose_function(esk2_0,X1,X2,esk5_0,X3),X4,X5,X6),X2)
| ~ surjective(esk2_0,esk5_0,X7)
| ~ surjective(compose_function(esk2_0,X1,X2,esk5_0,X3),X4,X5)
| apply(X1,esk13_4(compose_function(esk2_0,X1,X2,esk5_0,X3),X4,X5,X6),esk13_4(esk2_0,esk5_0,X7,X6)) ),
inference(spm,[status(thm)],[c_0_40,c_0_32]) ).
cnf(c_0_44,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,X4)
| ~ member(X3,esk6_0)
| ~ member(esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2,X3),esk4_0)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X4)
| esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,X2,X3) = esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X4,X3) ),
inference(spm,[status(thm)],[c_0_41,c_0_32]) ).
cnf(c_0_45,plain,
( ~ member(X8,X5)
| ~ member(esk14_3(X1,X2,X3),X7)
| ~ member(esk7_7(X1,X4,X5,X6,X7,X8,esk14_3(X1,X2,X3)),X2)
| ~ apply(compose_function(X1,X4,X5,X6,X7),X8,esk14_3(X1,X2,X3))
| surjective(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_26]) ).
cnf(c_0_46,negated_conjecture,
( ~ member(X5,X4)
| ~ member(X5,X6)
| ~ member(X5,X3)
| ~ member(X5,esk6_0)
| ~ surjective(esk2_0,esk5_0,X6)
| ~ surjective(compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X4)
| apply(X1,esk13_4(compose_function(esk2_0,X1,X2,esk5_0,X3),X2,X4,X5),esk13_4(esk2_0,esk5_0,X6,X5)) ),
inference(spm,[status(thm)],[c_0_43,c_0_35]) ).
cnf(c_0_47,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X2,X3)
| ~ member(X2,esk6_0)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X3)
| esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1,X2) = esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X3,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_35]) ).
cnf(c_0_48,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_13]) ).
cnf(c_0_49,plain,
( ~ member(X7,X5)
| ~ member(esk14_3(X1,X2,X3),X6)
| ~ apply(compose_function(X1,X4,X5,X2,X6),X7,esk14_3(X1,X2,X3))
| surjective(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_28]) ).
cnf(c_0_50,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X2,X4)
| ~ member(X2,X3)
| ~ member(X2,esk6_0)
| ~ surjective(esk2_0,esk5_0,X3)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X4)
| apply(esk1_0,esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1,X2),esk13_4(esk2_0,esk5_0,X3,X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
( ~ one_to_one(X1,X2,X3)
| surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_52,negated_conjecture,
( ~ member(X4,X3)
| ~ member(X4,esk6_0)
| ~ member(X1,esk5_0)
| ~ member(esk13_4(esk2_0,X2,X3,X4),esk5_0)
| ~ apply(esk2_0,X1,X4)
| ~ surjective(esk2_0,X2,X3)
| X1 = esk13_4(esk2_0,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_25,c_0_32]) ).
cnf(c_0_53,plain,
( ~ member(X5,X3)
| ~ member(X5,X6)
| ~ member(X1,X7)
| ~ member(esk8_4(X2,X3,X4,X5),X7)
| ~ maps(X2,X3,X4)
| ~ maps(X2,X6,X7)
| ~ apply(X2,X5,X1)
| X1 = esk8_4(X2,X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_48,c_0_17]) ).
cnf(c_0_54,plain,
( ~ member(esk14_3(X1,X2,X3),X8)
| ~ member(esk14_3(X1,X2,X3),X6)
| ~ member(esk13_4(compose_function(X1,X4,X5,X2,X6),X7,X8,esk14_3(X1,X2,X3)),X5)
| ~ surjective(compose_function(X1,X4,X5,X2,X6),X7,X8)
| surjective(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_55,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X2,X4)
| ~ member(X2,X3)
| ~ member(X2,esk6_0)
| ~ surjective(esk2_0,esk5_0,X3)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1)
| ~ one_to_one(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X4)
| apply(esk1_0,esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1,X2),esk13_4(esk2_0,esk5_0,X3,X2)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,esk6_0)
| ~ member(X1,esk5_0)
| ~ apply(esk2_0,X1,X3)
| ~ surjective(esk2_0,esk5_0,X2)
| X1 = esk13_4(esk2_0,esk5_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_35]) ).
cnf(c_0_57,plain,
( ~ member(X5,X3)
| ~ member(X5,X6)
| ~ member(X1,X4)
| ~ maps(X2,X3,X4)
| ~ maps(X2,X6,X4)
| ~ apply(X2,X5,X1)
| X1 = esk8_4(X2,X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_53,c_0_22]) ).
cnf(c_0_58,plain,
( ~ member(esk14_3(X1,X2,X3),X7)
| ~ member(esk14_3(X1,X2,X3),X6)
| ~ surjective(compose_function(X1,X4,X5,X2,X6),X5,X7)
| surjective(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_35]) ).
cnf(c_0_59,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X2,X3)
| ~ member(X2,esk6_0)
| ~ surjective(esk2_0,esk5_0,X3)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1)
| apply(esk1_0,esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1,X2),esk13_4(esk2_0,esk5_0,X3,X2)) ),
inference(spm,[status(thm)],[c_0_55,c_0_30]) ).
cnf(c_0_60,negated_conjecture,
( ~ member(X4,X2)
| ~ member(X4,esk5_0)
| ~ member(esk8_4(esk2_0,X2,X3,X4),X1)
| ~ member(esk8_4(esk2_0,X2,X3,X4),esk6_0)
| ~ maps(esk2_0,X2,X3)
| ~ surjective(esk2_0,esk5_0,X1)
| esk13_4(esk2_0,esk5_0,X1,esk8_4(esk2_0,X2,X3,X4)) = X4 ),
inference(spm,[status(thm)],[c_0_56,c_0_17]) ).
cnf(c_0_61,plain,
( ~ member(X4,X2)
| ~ member(X4,X5)
| ~ member(X4,X7)
| ~ member(esk8_4(X1,X2,X3,X4),X6)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X5,X6)
| ~ maps(X1,X7,X6)
| esk8_4(X1,X2,X3,X4) = esk8_4(X1,X5,X6,X4) ),
inference(spm,[status(thm)],[c_0_57,c_0_17]) ).
cnf(c_0_62,plain,
( ~ member(esk14_3(X1,X2,X3),X7)
| ~ member(esk14_3(X1,X2,X3),X6)
| ~ one_to_one(compose_function(X1,X4,X5,X2,X6),X5,X7)
| surjective(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_51]) ).
cnf(c_0_63,negated_conjecture,
( ~ member(X4,X2)
| ~ member(X4,esk5_0)
| ~ member(esk8_4(esk2_0,X2,X3,X4),X1)
| ~ member(esk8_4(esk2_0,X2,X3,X4),X5)
| ~ member(esk8_4(esk2_0,X2,X3,X4),esk6_0)
| ~ maps(esk2_0,X2,X3)
| ~ surjective(esk2_0,esk5_0,X5)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1)
| apply(esk1_0,esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1,esk8_4(esk2_0,X2,X3,X4)),X4) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,plain,
( ~ member(X4,X2)
| ~ member(X4,X5)
| ~ member(X4,X6)
| ~ maps(X1,X2,X3)
| ~ maps(X1,X5,X3)
| ~ maps(X1,X6,X3)
| esk8_4(X1,X2,X3,X4) = esk8_4(X1,X5,X3,X4) ),
inference(spm,[status(thm)],[c_0_61,c_0_22]) ).
cnf(c_0_65,negated_conjecture,
maps(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_66,negated_conjecture,
( ~ member(esk14_3(esk2_0,esk5_0,X1),esk6_0)
| surjective(esk2_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_30]) ).
cnf(c_0_67,plain,
( surjective(X1,X2,X3)
| member(esk14_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_68,negated_conjecture,
( ~ member(X4,X2)
| ~ member(X4,esk5_0)
| ~ member(esk8_4(esk2_0,X2,X3,X4),X1)
| ~ member(esk8_4(esk2_0,X2,X3,X4),esk6_0)
| ~ maps(esk2_0,X2,X3)
| ~ surjective(esk2_0,esk5_0,X3)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1)
| apply(esk1_0,esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1,esk8_4(esk2_0,X2,X3,X4)),X4) ),
inference(spm,[status(thm)],[c_0_63,c_0_22]) ).
cnf(c_0_69,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X2,X3)
| ~ member(X2,esk5_0)
| ~ maps(esk2_0,X1,esk6_0)
| ~ maps(esk2_0,X3,esk6_0)
| esk8_4(esk2_0,X1,esk6_0,X2) = esk8_4(esk2_0,X3,esk6_0,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
surjective(esk2_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,X4)
| ~ member(X3,esk5_0)
| ~ member(esk8_4(esk2_0,X2,esk6_0,X3),X1)
| ~ maps(esk2_0,X2,esk6_0)
| ~ maps(esk2_0,X4,esk6_0)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1)
| apply(esk1_0,esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1,esk8_4(esk2_0,X2,esk6_0,X3)),X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]),c_0_22]) ).
cnf(c_0_72,negated_conjecture,
( ~ member(X5,X3)
| ~ member(X5,esk5_0)
| ~ member(X1,esk4_0)
| ~ member(X2,esk4_0)
| ~ member(esk8_4(esk2_0,X3,X4,X5),esk6_0)
| ~ maps(esk2_0,X3,X4)
| ~ apply(esk1_0,X2,X5)
| ~ apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),X1,esk8_4(esk2_0,X3,X4,X5))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_36,c_0_19]) ).
cnf(c_0_73,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,esk5_0)
| ~ member(esk8_4(esk2_0,X2,esk6_0,X3),X1)
| ~ maps(esk2_0,X2,esk6_0)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1)
| apply(esk1_0,esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X1,esk8_4(esk2_0,X2,esk6_0,X3)),X3) ),
inference(spm,[status(thm)],[c_0_71,c_0_65]) ).
cnf(c_0_74,negated_conjecture,
( ~ member(X3,X4)
| ~ member(X3,esk5_0)
| ~ member(X1,esk4_0)
| ~ member(X2,esk4_0)
| ~ member(esk8_4(esk2_0,X4,X5,X3),esk6_0)
| ~ maps(esk2_0,X4,X5)
| ~ apply(esk1_0,X1,X3)
| ~ apply(esk1_0,X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_72,c_0_19]) ).
cnf(c_0_75,negated_conjecture,
( ~ member(esk14_3(esk1_0,X1,X2),X4)
| ~ member(esk14_3(esk1_0,X1,X2),esk5_0)
| ~ member(esk8_4(esk2_0,X4,esk6_0,esk14_3(esk1_0,X1,X2)),X3)
| ~ member(esk13_4(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X3,esk8_4(esk2_0,X4,esk6_0,esk14_3(esk1_0,X1,X2))),X1)
| ~ maps(esk2_0,X4,esk6_0)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X3)
| surjective(esk1_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
( ~ member(X3,X4)
| ~ member(X3,esk5_0)
| ~ member(X1,esk4_0)
| ~ member(X2,esk4_0)
| ~ maps(esk2_0,X4,esk6_0)
| ~ apply(esk1_0,X1,X3)
| ~ apply(esk1_0,X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_74,c_0_22]) ).
cnf(c_0_77,negated_conjecture,
( ~ member(esk14_3(esk1_0,esk4_0,X1),X3)
| ~ member(esk14_3(esk1_0,esk4_0,X1),esk5_0)
| ~ member(esk8_4(esk2_0,X3,esk6_0,esk14_3(esk1_0,esk4_0,X1)),X2)
| ~ maps(esk2_0,X3,esk6_0)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,X2)
| surjective(esk1_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_35]) ).
cnf(c_0_78,negated_conjecture,
( ~ member(X3,esk5_0)
| ~ member(X1,esk4_0)
| ~ member(X2,esk4_0)
| ~ apply(esk1_0,X1,X3)
| ~ apply(esk1_0,X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_76,c_0_65]) ).
cnf(c_0_79,plain,
( injective(X1,X2,X3)
| apply(X1,esk16_3(X1,X2,X3),esk17_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_80,negated_conjecture,
( ~ member(esk14_3(esk1_0,esk4_0,X1),X2)
| ~ member(esk14_3(esk1_0,esk4_0,X1),esk5_0)
| ~ maps(esk2_0,X2,esk6_0)
| ~ surjective(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk6_0),esk4_0,esk6_0)
| surjective(esk1_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_22]) ).
cnf(c_0_81,negated_conjecture,
( ~ member(X1,esk4_0)
| ~ member(esk17_3(esk1_0,X2,X3),esk5_0)
| ~ member(esk16_3(esk1_0,X2,X3),esk4_0)
| ~ apply(esk1_0,X1,esk17_3(esk1_0,X2,X3))
| injective(esk1_0,X2,X3)
| X1 = esk16_3(esk1_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_82,plain,
( injective(X1,X2,X3)
| apply(X1,esk15_3(X1,X2,X3),esk17_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_83,plain,
( esk15_3(X1,X2,X3) != esk16_3(X1,X2,X3)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_84,negated_conjecture,
( ~ member(esk14_3(esk1_0,esk4_0,X1),X2)
| ~ member(esk14_3(esk1_0,esk4_0,X1),esk5_0)
| ~ maps(esk2_0,X2,esk6_0)
| surjective(esk1_0,esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_51]),c_0_30])]) ).
cnf(c_0_85,negated_conjecture,
( ~ member(esk15_3(esk1_0,X1,X2),esk4_0)
| ~ member(esk17_3(esk1_0,X1,X2),esk5_0)
| ~ member(esk16_3(esk1_0,X1,X2),esk4_0)
| injective(esk1_0,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
cnf(c_0_86,plain,
( injective(X1,X2,X3)
| member(esk17_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_87,negated_conjecture,
( ~ member(esk14_3(esk1_0,esk4_0,esk5_0),X1)
| ~ maps(esk2_0,X1,esk6_0)
| surjective(esk1_0,esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_67]) ).
cnf(c_0_88,negated_conjecture,
( ~ member(esk15_3(esk1_0,X1,esk5_0),esk4_0)
| ~ member(esk16_3(esk1_0,X1,esk5_0),esk4_0)
| injective(esk1_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_89,plain,
( injective(X1,X2,X3)
| member(esk16_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_90,plain,
( injective(X1,X2,X3)
| member(esk15_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_91,plain,
( ~ surjective(X1,X2,X3)
| ~ injective(X1,X2,X3)
| one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_92,negated_conjecture,
surjective(esk1_0,esk4_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_67]),c_0_65])]) ).
cnf(c_0_93,negated_conjecture,
injective(esk1_0,esk4_0,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_94,negated_conjecture,
~ one_to_one(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_95,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]),c_0_94]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET742+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/10.38 % Computer : n001.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Mon Sep 21 05:40:25 UTC 2026
% 0.09/10.39 % CPUTime :
% 0.09/10.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/10.45 Running first-order theorem proving
% 0.15/10.46 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
% 11.75/12.09 % Version: 3.5.1
% 11.75/12.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 11.75/12.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.75/12.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.75/12.09 % Starting new_bool_3 with 300s (1) cores
% 11.75/12.09 % Starting new_bool_1 with 300s (1) cores
% 11.75/12.09 % Starting sh5l with 300s (1) cores
% 11.75/12.09 % new_bool_3 with pid 2301738 completed with status 0
% 11.75/12.09 % Result found by new_bool_3
% 11.75/12.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 11.75/12.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.75/12.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.75/12.09 % Starting new_bool_3 with 300s (1) cores
% 11.75/12.09 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 11.75/12.09 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 11.75/12.09 % Search class: FGUSF-FFMS33-SFFFFFNN
% 11.75/12.09 % partial match(1): FGUSS-FFMS33-SFFFFFNN
% 11.75/12.09 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 11.75/12.09 % Starting SubtermCWHack with 31s (1) cores
% 11.75/12.09 % SubtermCWHack with pid 2301741 completed with status 0
% 11.75/12.09 % Result found by SubtermCWHack
% 11.75/12.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 11.75/12.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.75/12.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.75/12.09 % Starting new_bool_3 with 300s (1) cores
% 11.75/12.09 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 11.75/12.09 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 11.75/12.09 % Search class: FGUSF-FFMS33-SFFFFFNN
% 11.75/12.09 % partial match(1): FGUSS-FFMS33-SFFFFFNN
% 11.75/12.09 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 11.75/12.09 % Starting SubtermCWHack with 31s (1) cores
% 11.75/12.09 % Preprocessing time : 0.001 s
% 11.75/12.09
% 11.75/12.09 % Proof found!
% 11.75/12.09 % SZS status Theorem
% 11.75/12.09 % SZS output start CNFRefutation
% See solution above
% 11.75/12.09 % Parsed axioms : 29
% 11.75/12.09 % Removed by relevancy pruning/SinE : 23
% 11.75/12.09 % Initial clauses : 39
% 11.75/12.09 % Removed in clause preprocessing : 0
% 11.75/12.09 % Initial clauses in saturation : 39
% 11.75/12.09 % Processed clauses : 2181
% 11.75/12.09 % ...of these trivial : 0
% 11.75/12.09 % ...subsumed : 1122
% 11.75/12.09 % ...remaining for further processing : 1059
% 11.75/12.09 % Other redundant clauses eliminated : 0
% 11.75/12.09 % Clauses deleted for lack of memory : 0
% 11.75/12.09 % Backward-subsumed : 72
% 11.75/12.09 % Backward-rewritten : 12
% 11.75/12.09 % Generated clauses : 25275
% 11.75/12.09 % ...of the previous two non-redundant : 25183
% 11.75/12.09 % ...aggressively subsumed : 0
% 11.75/12.09 % Contextual simplify-reflections : 22
% 11.75/12.09 % Paramodulations : 25275
% 11.75/12.09 % Factorizations : 0
% 11.75/12.09 % NegExts : 0
% 11.75/12.09 % Equation resolutions : 0
% 11.75/12.09 % Disequality decompositions : 0
% 11.75/12.09 % Total rewrite steps : 85
% 11.75/12.09 % ...of those cached : 76
% 11.75/12.09 % Propositional unsat checks : 0
% 11.75/12.09 % Propositional check models : 0
% 11.75/12.09 % Propositional check unsatisfiable : 0
% 11.75/12.09 % Propositional clauses : 0
% 11.75/12.09 % Propositional clauses after purity: 0
% 11.75/12.09 % Propositional unsat core size : 0
% 11.75/12.09 % Propositional preprocessing time : 0.000
% 11.75/12.09 % Propositional encoding time : 0.000
% 11.75/12.09 % Propositional solver time : 0.000
% 11.75/12.09 % Success case prop preproc time : 0.000
% 11.75/12.09 % Success case prop encoding time : 0.000
% 11.75/12.09 % Success case prop solver time : 0.000
% 11.75/12.09 % Current number of processed clauses : 975
% 11.75/12.09 % Positive orientable unit clauses : 13
% 11.75/12.09 % Positive unorientable unit clauses: 0
% 11.75/12.09 % Negative unit clauses : 1
% 11.75/12.09 % Non-unit-clauses : 961
% 11.75/12.09 % Current number of unprocessed clauses: 22979
% 11.75/12.09 % ...number of literals in the above : 338500
% 11.75/12.09 % Current number of archived formulas : 0
% 11.75/12.09 % Current number of archived clauses : 84
% 11.75/12.09 % Clause-clause subsumption calls (NU) : 299102
% 11.75/12.09 % Rec. Clause-clause subsumption calls : 8825
% 11.75/12.09 % Non-unit clause-clause subsumptions : 1211
% 11.75/12.09 % Unit Clause-clause subsumption calls : 3
% 11.75/12.09 % Rewrite failures with RHS unbound : 0
% 11.75/12.09 % BW rewrite match attempts : 13
% 11.75/12.09 % BW rewrite match successes : 2
% 11.75/12.09 % Condensation attempts : 0
% 11.75/12.09 % Condensation successes : 0
% 11.75/12.09 % Termbank termtop insertions : 1597351
% 11.75/12.09 % Search garbage collected termcells : 1069
% 11.75/12.09
% 11.75/12.09 % -------------------------------------------------
% 11.75/12.09 % User time : 1.501 s
% 11.75/12.09 % System time : 0.048 s
% 11.75/12.09 % Total time : 1.549 s
% 11.75/12.09 % Maximum resident set size: 3948 pages
% 11.75/12.09
% 11.75/12.09 % -------------------------------------------------
% 11.75/12.09 % User time : 1.508 s
% 11.75/12.09 % System time : 0.051 s
% 11.75/12.09 % Total time : 1.559 s
% 11.75/12.09 % Maximum resident set size: 4864 pages
% 11.75/12.09 % E exiting
%------------------------------------------------------------------------------