%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET790+4 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 02:15:23 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 351 ( 21 equ)
% Maximal formula atoms : 256 ( 13 avg)
% Number of connectives : 420 ( 95 ~; 220 |; 86 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 77 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 67 ( 1 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIV2,conjecture,
! [X1,X2,X6] :
( ( least(X6,X1,X2)
& order(X1,X2) )
=> ! [X3] :
( least(X3,X1,X2)
=> X6 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV2) ).
fof(least,axiom,
! [X1,X2,X6] :
( least(X6,X1,X2)
<=> ( ! [X3] :
( member(X3,X2)
=> apply(X1,X6,X3) )
& member(X6,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',least) ).
fof(order,axiom,
! [X1,X2] :
( order(X1,X2)
<=> ( ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X2)
& member(X3,X2) )
=> ( ( apply(X1,X4,X5)
& apply(X1,X3,X4) )
=> apply(X1,X3,X5) ) )
& ! [X3,X4] :
( ( member(X4,X2)
& member(X3,X2) )
=> ( ( apply(X1,X4,X3)
& apply(X1,X3,X4) )
=> X3 = X4 ) )
& ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',order) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X6] :
( ( least(X6,X1,X2)
& order(X1,X2) )
=> ! [X3] :
( least(X3,X1,X2)
=> X6 = X3 ) ),
inference(assume_negation,[status(cth)],[thIV2]) ).
fof(c_0_4,plain,
! [X2,X1] :
( epred1_2(X1,X2)
<=> ( ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X2)
& member(X3,X2) )
=> ( ( apply(X1,X4,X5)
& apply(X1,X3,X4) )
=> apply(X1,X3,X5) ) )
& ! [X3,X4] :
( ( member(X4,X2)
& member(X3,X2) )
=> ( ( apply(X1,X4,X3)
& apply(X1,X3,X4) )
=> X3 = X4 ) )
& ! [X3] :
( member(X3,X2)
=> apply(X1,X3,X3) ) ) ),
introduced(definition) ).
fof(c_0_5,plain,
! [X12,X13,X14,X15,X16,X17,X18] :
( ( least(X18,X16,X17)
| ~ member(X18,X17)
| ~ apply(X16,X18,esk5_3(X16,X17,X18)) )
& ( least(X18,X16,X17)
| ~ member(X18,X17)
| member(esk5_3(X16,X17,X18),X17) )
& ( ~ least(X14,X12,X13)
| apply(X12,X14,X15)
| ~ member(X15,X13) )
& ( ~ least(X14,X12,X13)
| member(X14,X13) ) ),
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)],[least])])])])])])]) ).
fof(c_0_6,negated_conjecture,
( esk3_0 != esk4_0
& least(esk4_0,esk1_0,esk2_0)
& least(esk3_0,esk1_0,esk2_0)
& order(esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_7,plain,
! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31] :
( ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| esk7_2(X30,X31) != esk8_2(X30,X31)
| ~ apply(X31,esk9_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| esk7_2(X30,X31) != esk8_2(X30,X31)
| apply(X31,esk10_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| esk7_2(X30,X31) != esk8_2(X30,X31)
| apply(X31,esk9_2(X30,X31),esk10_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| esk7_2(X30,X31) != esk8_2(X30,X31)
| member(esk11_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| esk7_2(X30,X31) != esk8_2(X30,X31)
| member(esk10_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| esk7_2(X30,X31) != esk8_2(X30,X31)
| member(esk9_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| ~ apply(X31,esk9_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| apply(X31,esk10_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| apply(X31,esk9_2(X30,X31),esk10_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| member(esk11_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| member(esk10_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| member(esk9_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| ~ apply(X31,esk9_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| apply(X31,esk10_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| apply(X31,esk9_2(X30,X31),esk10_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| member(esk11_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| member(esk10_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| member(esk9_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk8_2(X30,X31),X30)
| ~ apply(X31,esk9_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk8_2(X30,X31),X30)
| apply(X31,esk10_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk8_2(X30,X31),X30)
| apply(X31,esk9_2(X30,X31),esk10_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk8_2(X30,X31),X30)
| member(esk11_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk8_2(X30,X31),X30)
| member(esk10_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk8_2(X30,X31),X30)
| member(esk9_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk7_2(X30,X31),X30)
| ~ apply(X31,esk9_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk7_2(X30,X31),X30)
| apply(X31,esk10_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk7_2(X30,X31),X30)
| apply(X31,esk9_2(X30,X31),esk10_2(X30,X31)) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk7_2(X30,X31),X30)
| member(esk11_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk7_2(X30,X31),X30)
| member(esk10_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| ~ apply(X31,esk6_2(X30,X31),esk6_2(X30,X31))
| member(esk7_2(X30,X31),X30)
| member(esk9_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| esk7_2(X30,X31) != esk8_2(X30,X31)
| ~ apply(X31,esk9_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| esk7_2(X30,X31) != esk8_2(X30,X31)
| apply(X31,esk10_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| esk7_2(X30,X31) != esk8_2(X30,X31)
| apply(X31,esk9_2(X30,X31),esk10_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| esk7_2(X30,X31) != esk8_2(X30,X31)
| member(esk11_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| esk7_2(X30,X31) != esk8_2(X30,X31)
| member(esk10_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| esk7_2(X30,X31) != esk8_2(X30,X31)
| member(esk9_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| ~ apply(X31,esk9_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| apply(X31,esk10_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| apply(X31,esk9_2(X30,X31),esk10_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| member(esk11_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| member(esk10_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk8_2(X30,X31),esk7_2(X30,X31))
| member(esk9_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| ~ apply(X31,esk9_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| apply(X31,esk10_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| apply(X31,esk9_2(X30,X31),esk10_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| member(esk11_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| member(esk10_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| apply(X31,esk7_2(X30,X31),esk8_2(X30,X31))
| member(esk9_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk8_2(X30,X31),X30)
| ~ apply(X31,esk9_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk8_2(X30,X31),X30)
| apply(X31,esk10_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk8_2(X30,X31),X30)
| apply(X31,esk9_2(X30,X31),esk10_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk8_2(X30,X31),X30)
| member(esk11_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk8_2(X30,X31),X30)
| member(esk10_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk8_2(X30,X31),X30)
| member(esk9_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk7_2(X30,X31),X30)
| ~ apply(X31,esk9_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk7_2(X30,X31),X30)
| apply(X31,esk10_2(X30,X31),esk11_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk7_2(X30,X31),X30)
| apply(X31,esk9_2(X30,X31),esk10_2(X30,X31)) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk7_2(X30,X31),X30)
| member(esk11_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk7_2(X30,X31),X30)
| member(esk10_2(X30,X31),X30) )
& ( epred1_2(X31,X30)
| member(esk6_2(X30,X31),X30)
| member(esk7_2(X30,X31),X30)
| member(esk9_2(X30,X31),X30) )
& ( ~ epred1_2(X23,X22)
| apply(X23,X27,X29)
| ~ apply(X23,X28,X29)
| ~ apply(X23,X27,X28)
| ~ member(X29,X22)
| ~ member(X28,X22)
| ~ member(X27,X22) )
& ( ~ epred1_2(X23,X22)
| X25 = X26
| ~ apply(X23,X26,X25)
| ~ apply(X23,X25,X26)
| ~ member(X26,X22)
| ~ member(X25,X22) )
& ( ~ epred1_2(X23,X22)
| apply(X23,X24,X24)
| ~ member(X24,X22) ) ),
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)],[c_0_4])])])])])])]) ).
cnf(c_0_8,plain,
( ~ least(X4,X3,X2)
| ~ member(X1,X2)
| apply(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
least(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,axiom,
! [X1,X2] :
( order(X1,X2)
<=> epred1_2(X1,X2) ),
inference(apply_def,[status(thm)],[order,c_0_4]) ).
cnf(c_0_11,plain,
( ~ epred1_2(X4,X2)
| ~ apply(X4,X3,X1)
| ~ apply(X4,X1,X3)
| ~ member(X3,X2)
| ~ member(X1,X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( ~ member(X1,esk2_0)
| apply(esk1_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
least(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( ~ least(X1,X3,X2)
| member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_15,plain,
! [X20,X21] :
( ( order(X20,X21)
| ~ epred1_2(X20,X21) )
& ( epred1_2(X20,X21)
| ~ order(X20,X21) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_16,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X1,esk2_0)
| ~ member(esk4_0,X2)
| ~ apply(esk1_0,X1,esk4_0)
| ~ epred1_2(esk1_0,X2)
| X1 = esk4_0 ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( ~ member(X1,esk2_0)
| apply(esk1_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
member(esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
member(esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_14,c_0_9]) ).
cnf(c_0_20,negated_conjecture,
esk3_0 != esk4_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,plain,
( ~ order(X1,X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
order(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,negated_conjecture,
( ~ member(esk3_0,X1)
| ~ member(esk4_0,X1)
| ~ epred1_2(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
epred1_2(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_19]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET790+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 05:38:18 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.45 % Version: 3.5.1
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % Starting sh5l with 300s (1) cores
% 0.12/0.45 % new_bool_1 with pid 2663577 completed with status 0
% 0.12/0.45 % Result found by new_bool_1
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.45 % Search class: FGUSF-FFMS32-SFFFFFNN
% 0.12/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.45 % SubtermCWHack with pid 2663579 completed with status 0
% 0.12/0.45 % Result found by SubtermCWHack
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.45 % Search class: FGUSF-FFMS32-SFFFFFNN
% 0.12/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.45 % Preprocessing time : 0.002 s
% 0.12/0.45
% 0.12/0.45 % Proof found!
% 0.12/0.45 % SZS status Theorem
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.12/0.45 % Parsed axioms : 11
% 0.12/0.45 % Removed by relevancy pruning/SinE : 8
% 0.12/0.45 % Initial clauses : 73
% 0.12/0.45 % Removed in clause preprocessing : 0
% 0.12/0.45 % Initial clauses in saturation : 73
% 0.12/0.45 % Processed clauses : 31
% 0.12/0.45 % ...of these trivial : 0
% 0.12/0.45 % ...subsumed : 0
% 0.12/0.45 % ...remaining for further processing : 31
% 0.12/0.45 % Other redundant clauses eliminated : 0
% 0.12/0.45 % Clauses deleted for lack of memory : 0
% 0.12/0.45 % Backward-subsumed : 0
% 0.12/0.45 % Backward-rewritten : 0
% 0.12/0.45 % Generated clauses : 15
% 0.12/0.45 % ...of the previous two non-redundant : 11
% 0.12/0.45 % ...aggressively subsumed : 0
% 0.12/0.45 % Contextual simplify-reflections : 0
% 0.12/0.45 % Paramodulations : 15
% 0.12/0.45 % Factorizations : 0
% 0.12/0.45 % NegExts : 0
% 0.12/0.45 % Equation resolutions : 0
% 0.12/0.45 % Disequality decompositions : 0
% 0.12/0.45 % Total rewrite steps : 8
% 0.12/0.45 % ...of those cached : 4
% 0.12/0.45 % Propositional unsat checks : 0
% 0.12/0.45 % Propositional check models : 0
% 0.12/0.45 % Propositional check unsatisfiable : 0
% 0.12/0.45 % Propositional clauses : 0
% 0.12/0.45 % Propositional clauses after purity: 0
% 0.12/0.45 % Propositional unsat core size : 0
% 0.12/0.45 % Propositional preprocessing time : 0.000
% 0.12/0.45 % Propositional encoding time : 0.000
% 0.12/0.45 % Propositional solver time : 0.000
% 0.12/0.45 % Success case prop preproc time : 0.000
% 0.12/0.45 % Success case prop encoding time : 0.000
% 0.12/0.45 % Success case prop solver time : 0.000
% 0.12/0.45 % Current number of processed clauses : 31
% 0.12/0.45 % Positive orientable unit clauses : 6
% 0.12/0.45 % Positive unorientable unit clauses: 0
% 0.12/0.45 % Negative unit clauses : 1
% 0.12/0.45 % Non-unit-clauses : 24
% 0.12/0.45 % Current number of unprocessed clauses: 53
% 0.12/0.45 % ...number of literals in the above : 217
% 0.12/0.45 % Current number of archived formulas : 0
% 0.12/0.45 % Current number of archived clauses : 0
% 0.12/0.45 % Clause-clause subsumption calls (NU) : 150
% 0.12/0.45 % Rec. Clause-clause subsumption calls : 65
% 0.12/0.45 % Non-unit clause-clause subsumptions : 0
% 0.12/0.45 % Unit Clause-clause subsumption calls : 2
% 0.12/0.45 % Rewrite failures with RHS unbound : 0
% 0.12/0.45 % BW rewrite match attempts : 0
% 0.12/0.45 % BW rewrite match successes : 0
% 0.12/0.45 % Condensation attempts : 0
% 0.12/0.45 % Condensation successes : 0
% 0.12/0.45 % Termbank termtop insertions : 3877
% 0.12/0.45 % Search garbage collected termcells : 821
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.008 s
% 0.12/0.45 % System time : 0.000 s
% 0.12/0.45 % Total time : 0.008 s
% 0.12/0.45 % Maximum resident set size: 3652 pages
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.009 s
% 0.12/0.45 % System time : 0.005 s
% 0.12/0.45 % Total time : 0.014 s
% 0.12/0.45 % Maximum resident set size: 4608 pages
% 0.12/0.45 % E exiting
%------------------------------------------------------------------------------