%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS080+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:00:43 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.65s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 65 ( 10 unt; 0 def)
% Number of atoms : 467 ( 116 equ)
% Maximal formula atoms : 235 ( 7 avg)
% Number of connectives : 676 ( 274 ~; 344 |; 53 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 60 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 66 ( 0 sgn 24 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( cp(X5)
& cp2(X5)
& rr(X4,X5) )
& ? [X5] :
( cp3(X5)
& cp(X5)
& rr(X4,X5) )
& ? [X5] :
( cp3(X5)
& rr(X4,X5) )
& ? [X5] :
( cp2(X5)
& rr(X4,X5) )
& ! [X6,X7,X8,X9] :
( ( rr(X4,X9)
& rr(X4,X8)
& rr(X4,X7)
& rr(X4,X6) )
=> ( X8 = X9
| X7 = X9
| X7 = X8
| X6 = X9
| X6 = X8
| X6 = X7 ) )
& ? [X5] :
( cp4(X5)
& rr(X4,X5) )
& ? [X5] :
( cp1(X5)
& rr(X4,X5) )
& ? [X5] :
( cp1(X5)
& cp(X5)
& rr(X4,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_5,axiom,
! [X4] :
( cp3(X4)
=> ~ ( cp5(X4)
| cp4(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_4,axiom,
! [X4] :
( cp2(X4)
=> ~ ( cp3(X4)
| cp5(X4)
| cp4(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
=> ~ ( cp3(X4)
| cp5(X4)
| cp4(X4)
| cp2(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(c_0_5,plain,
! [X40,X44,X45,X46,X47,X52,X53,X54,X55,X60,X61,X62,X63] :
( ( cUnsatisfiable(X52)
| ~ cp(X63)
| ~ cp2(X63)
| ~ rr(X52,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X52,X62)
| ~ cp3(X61)
| ~ rr(X52,X61)
| ~ cp2(X60)
| ~ rr(X52,X60)
| ~ cp4(X55)
| ~ rr(X52,X55)
| ~ cp1(X54)
| ~ rr(X52,X54)
| ~ cp1(X53)
| ~ cp(X53)
| ~ rr(X52,X53)
| esk10_1(X52) != esk11_1(X52) )
& ( cUnsatisfiable(X52)
| ~ cp(X63)
| ~ cp2(X63)
| ~ rr(X52,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X52,X62)
| ~ cp3(X61)
| ~ rr(X52,X61)
| ~ cp2(X60)
| ~ rr(X52,X60)
| ~ cp4(X55)
| ~ rr(X52,X55)
| ~ cp1(X54)
| ~ rr(X52,X54)
| ~ cp1(X53)
| ~ cp(X53)
| ~ rr(X52,X53)
| esk9_1(X52) != esk11_1(X52) )
& ( cUnsatisfiable(X52)
| ~ cp(X63)
| ~ cp2(X63)
| ~ rr(X52,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X52,X62)
| ~ cp3(X61)
| ~ rr(X52,X61)
| ~ cp2(X60)
| ~ rr(X52,X60)
| ~ cp4(X55)
| ~ rr(X52,X55)
| ~ cp1(X54)
| ~ rr(X52,X54)
| ~ cp1(X53)
| ~ cp(X53)
| ~ rr(X52,X53)
| esk9_1(X52) != esk10_1(X52) )
& ( cUnsatisfiable(X52)
| ~ cp(X63)
| ~ cp2(X63)
| ~ rr(X52,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X52,X62)
| ~ cp3(X61)
| ~ rr(X52,X61)
| ~ cp2(X60)
| ~ rr(X52,X60)
| ~ cp4(X55)
| ~ rr(X52,X55)
| ~ cp1(X54)
| ~ rr(X52,X54)
| ~ cp1(X53)
| ~ cp(X53)
| ~ rr(X52,X53)
| esk8_1(X52) != esk11_1(X52) )
& ( cUnsatisfiable(X52)
| ~ cp(X63)
| ~ cp2(X63)
| ~ rr(X52,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X52,X62)
| ~ cp3(X61)
| ~ rr(X52,X61)
| ~ cp2(X60)
| ~ rr(X52,X60)
| ~ cp4(X55)
| ~ rr(X52,X55)
| ~ cp1(X54)
| ~ rr(X52,X54)
| ~ cp1(X53)
| ~ cp(X53)
| ~ rr(X52,X53)
| esk8_1(X52) != esk10_1(X52) )
& ( cUnsatisfiable(X52)
| ~ cp(X63)
| ~ cp2(X63)
| ~ rr(X52,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X52,X62)
| ~ cp3(X61)
| ~ rr(X52,X61)
| ~ cp2(X60)
| ~ rr(X52,X60)
| ~ cp4(X55)
| ~ rr(X52,X55)
| ~ cp1(X54)
| ~ rr(X52,X54)
| ~ cp1(X53)
| ~ cp(X53)
| ~ rr(X52,X53)
| esk8_1(X52) != esk9_1(X52) )
& ( cUnsatisfiable(X52)
| ~ cp(X63)
| ~ cp2(X63)
| ~ rr(X52,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X52,X62)
| ~ cp3(X61)
| ~ rr(X52,X61)
| ~ cp2(X60)
| ~ rr(X52,X60)
| ~ cp4(X55)
| ~ rr(X52,X55)
| ~ cp1(X54)
| ~ rr(X52,X54)
| ~ cp1(X53)
| ~ cp(X53)
| ~ rr(X52,X53)
| rr(X52,esk11_1(X52)) )
& ( cUnsatisfiable(X52)
| ~ cp(X63)
| ~ cp2(X63)
| ~ rr(X52,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X52,X62)
| ~ cp3(X61)
| ~ rr(X52,X61)
| ~ cp2(X60)
| ~ rr(X52,X60)
| ~ cp4(X55)
| ~ rr(X52,X55)
| ~ cp1(X54)
| ~ rr(X52,X54)
| ~ cp1(X53)
| ~ cp(X53)
| ~ rr(X52,X53)
| rr(X52,esk10_1(X52)) )
& ( cUnsatisfiable(X52)
| ~ cp(X63)
| ~ cp2(X63)
| ~ rr(X52,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X52,X62)
| ~ cp3(X61)
| ~ rr(X52,X61)
| ~ cp2(X60)
| ~ rr(X52,X60)
| ~ cp4(X55)
| ~ rr(X52,X55)
| ~ cp1(X54)
| ~ rr(X52,X54)
| ~ cp1(X53)
| ~ cp(X53)
| ~ rr(X52,X53)
| rr(X52,esk9_1(X52)) )
& ( cUnsatisfiable(X52)
| ~ cp(X63)
| ~ cp2(X63)
| ~ rr(X52,X63)
| ~ cp3(X62)
| ~ cp(X62)
| ~ rr(X52,X62)
| ~ cp3(X61)
| ~ rr(X52,X61)
| ~ cp2(X60)
| ~ rr(X52,X60)
| ~ cp4(X55)
| ~ rr(X52,X55)
| ~ cp1(X54)
| ~ rr(X52,X54)
| ~ cp1(X53)
| ~ cp(X53)
| ~ rr(X52,X53)
| rr(X52,esk8_1(X52)) )
& ( ~ cUnsatisfiable(X40)
| cp(esk7_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| cp2(esk7_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| rr(X40,esk7_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| cp3(esk6_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| cp(esk6_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| rr(X40,esk6_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| cp3(esk5_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| rr(X40,esk5_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| cp2(esk4_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| rr(X40,esk4_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| X46 = X47
| X45 = X47
| X45 = X46
| X44 = X47
| X44 = X46
| X44 = X45
| ~ rr(X40,X47)
| ~ rr(X40,X46)
| ~ rr(X40,X45)
| ~ rr(X40,X44) )
& ( ~ cUnsatisfiable(X40)
| cp4(esk3_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| rr(X40,esk3_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| cp1(esk2_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| rr(X40,esk2_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| cp1(esk1_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| cp(esk1_1(X40)) )
& ( ~ cUnsatisfiable(X40)
| rr(X40,esk1_1(X40)) ) ),
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)],[axiom_2])])])])])])]) ).
cnf(c_0_6,plain,
( ~ cUnsatisfiable(X1)
| rr(X1,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_7,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(split_conjunct,[status(thm)],[axiom_7]) ).
cnf(c_0_8,plain,
( ~ cUnsatisfiable(X1)
| ~ rr(X1,X5)
| ~ rr(X1,X4)
| ~ rr(X1,X3)
| ~ rr(X1,X2)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
rr(i2003_11_14_17_19_21224,esk7_1(i2003_11_14_17_19_21224)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( ~ cUnsatisfiable(X1)
| rr(X1,esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X2)
| ~ rr(i2003_11_14_17_19_21224,X3)
| X2 = X3
| X1 = X3
| X1 = X2
| X3 = esk7_1(i2003_11_14_17_19_21224)
| X2 = esk7_1(i2003_11_14_17_19_21224)
| X1 = esk7_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_7])]) ).
cnf(c_0_12,plain,
rr(i2003_11_14_17_19_21224,esk6_1(i2003_11_14_17_19_21224)),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_13,plain,
( ~ cUnsatisfiable(X1)
| rr(X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_14,plain,
! [X66] :
( ( ~ cp3(X66)
| ~ cp5(X66) )
& ( ~ cp3(X66)
| ~ cp4(X66) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])]) ).
cnf(c_0_15,plain,
( ~ rr(i2003_11_14_17_19_21224,X2)
| ~ rr(i2003_11_14_17_19_21224,X1)
| X2 = X1
| X2 = esk7_1(i2003_11_14_17_19_21224)
| X1 = esk7_1(i2003_11_14_17_19_21224)
| X2 = esk6_1(i2003_11_14_17_19_21224)
| X1 = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
rr(i2003_11_14_17_19_21224,esk5_1(i2003_11_14_17_19_21224)),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_17,plain,
( ~ cUnsatisfiable(X1)
| rr(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
( ~ cp3(X1)
| ~ cp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( ~ cUnsatisfiable(X1)
| cp4(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,plain,
( ~ rr(i2003_11_14_17_19_21224,X1)
| X1 = esk6_1(i2003_11_14_17_19_21224)
| X1 = esk7_1(i2003_11_14_17_19_21224)
| X1 = esk5_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
rr(i2003_11_14_17_19_21224,esk3_1(i2003_11_14_17_19_21224)),
inference(spm,[status(thm)],[c_0_17,c_0_7]) ).
fof(c_0_22,plain,
! [X65] :
( ( ~ cp2(X65)
| ~ cp3(X65) )
& ( ~ cp2(X65)
| ~ cp5(X65) )
& ( ~ cp2(X65)
| ~ cp4(X65) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])])]) ).
cnf(c_0_23,plain,
( ~ cUnsatisfiable(X1)
| ~ cp3(esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk5_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( ~ cp2(X1)
| ~ cp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( ~ cp3(esk5_1(i2003_11_14_17_19_21224))
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_7])]) ).
cnf(c_0_27,plain,
( ~ cUnsatisfiable(X1)
| cp3(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,plain,
( ~ cUnsatisfiable(X1)
| ~ cp2(esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_29,plain,
( esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_7])]) ).
fof(c_0_30,plain,
! [X64] :
( ( ~ cp1(X64)
| ~ cp3(X64) )
& ( ~ cp1(X64)
| ~ cp5(X64) )
& ( ~ cp1(X64)
| ~ cp4(X64) )
& ( ~ cp1(X64)
| ~ cp2(X64) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])]) ).
cnf(c_0_31,plain,
( ~ cUnsatisfiable(X1)
| rr(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_32,plain,
( ~ cp2(esk7_1(i2003_11_14_17_19_21224))
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_7])]) ).
cnf(c_0_33,plain,
( ~ cUnsatisfiable(X1)
| cp2(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_34,plain,
( ~ cp1(X1)
| ~ cp4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( ~ rr(i2003_11_14_17_19_21224,X1)
| X1 = esk6_1(i2003_11_14_17_19_21224)
| X1 = esk7_1(i2003_11_14_17_19_21224)
| X1 = esk3_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_36,plain,
rr(i2003_11_14_17_19_21224,esk2_1(i2003_11_14_17_19_21224)),
inference(spm,[status(thm)],[c_0_31,c_0_7]) ).
cnf(c_0_37,plain,
( esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_7])]) ).
cnf(c_0_38,plain,
( ~ cUnsatisfiable(X1)
| ~ cp1(esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_19]) ).
cnf(c_0_39,plain,
( esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk2_1(i2003_11_14_17_19_21224)
| esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
( ~ cp2(X1)
| ~ cp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_41,plain,
( ~ cp3(esk6_1(i2003_11_14_17_19_21224))
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_37]),c_0_7])]) ).
cnf(c_0_42,plain,
( ~ cUnsatisfiable(X1)
| cp3(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_43,plain,
( ~ cp1(esk2_1(i2003_11_14_17_19_21224))
| esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_7])]) ).
cnf(c_0_44,plain,
( ~ cUnsatisfiable(X1)
| cp1(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_45,plain,
( ~ cUnsatisfiable(X1)
| ~ cp2(esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_27]) ).
cnf(c_0_46,plain,
( esk5_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_7])]) ).
cnf(c_0_47,plain,
( esk3_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_7])]) ).
cnf(c_0_48,plain,
( ~ cp2(esk7_1(i2003_11_14_17_19_21224))
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_7])]) ).
cnf(c_0_49,plain,
( ~ cp2(esk7_1(i2003_11_14_17_19_21224))
| esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_47]),c_0_7])]) ).
cnf(c_0_50,plain,
( esk5_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_33]),c_0_7])]) ).
cnf(c_0_51,plain,
( esk3_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_33]),c_0_7])]) ).
cnf(c_0_52,plain,
( cp3(esk6_1(i2003_11_14_17_19_21224))
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_50]),c_0_7])]) ).
cnf(c_0_53,plain,
( ~ cp1(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_54,plain,
( esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk2_1(i2003_11_14_17_19_21224) = esk7_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_51]),c_0_7])]),c_0_52]) ).
cnf(c_0_55,plain,
( ~ cp1(X1)
| ~ cp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_56,plain,
( ~ cUnsatisfiable(X1)
| ~ cp1(esk7_1(X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_33]) ).
cnf(c_0_57,plain,
( cp1(esk7_1(i2003_11_14_17_19_21224))
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_54]),c_0_7])]) ).
cnf(c_0_58,plain,
( ~ cUnsatisfiable(X1)
| ~ cp1(esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_55,c_0_27]) ).
cnf(c_0_59,plain,
( esk2_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_7])]) ).
cnf(c_0_60,plain,
( ~ cp1(esk6_1(i2003_11_14_17_19_21224))
| esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_50]),c_0_7])]) ).
cnf(c_0_61,plain,
esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_59]),c_0_7])]),c_0_60]) ).
cnf(c_0_62,plain,
( ~ cUnsatisfiable(X1)
| ~ cp2(esk6_1(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_42]) ).
cnf(c_0_63,plain,
cp2(esk6_1(i2003_11_14_17_19_21224)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_61]),c_0_7])]) ).
cnf(c_0_64,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS080+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.58 % Computer : n004.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Sun Sep 20 22:52:35 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.65 % Version: 3.5.1
% 0.16/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.65 % Starting sh5l with 300s (1) cores
% 0.16/0.65 % new_bool_1 with pid 1666878 completed with status 9
% 0.16/0.65 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1666874 completed with status 0
% 0.16/0.65 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.65 % No SInE strategy applied
% 0.16/0.65 % Search class: FGHSF-FFMF11-SFFFFFNN
% 0.16/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.65 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 0.16/0.65 % Starting new_bool_3 with 136s (1) cores
% 0.16/0.65 % Starting new_bool_1 with 136s (1) cores
% 0.16/0.65 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with pid 1666896 completed with status 0
% 0.16/0.65 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I
% 0.16/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.65 % No SInE strategy applied
% 0.16/0.65 % Search class: FGHSF-FFMF11-SFFFFFNN
% 0.16/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.65 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 0.16/0.65 % Preprocessing time : 0.001 s
% 0.16/0.65 % Presaturation interreduction done
% 0.16/0.65
% 0.16/0.65 % Proof found!
% 0.16/0.65 % SZS status Unsatisfiable
% 0.16/0.65 % SZS output start CNFRefutation
% See solution above
% 0.16/0.65 % Parsed axioms : 21
% 0.16/0.65 % Removed by relevancy pruning/SinE : 0
% 0.16/0.65 % Initial clauses : 56
% 0.16/0.65 % Removed in clause preprocessing : 14
% 0.16/0.65 % Initial clauses in saturation : 42
% 0.16/0.65 % Processed clauses : 185
% 0.16/0.65 % ...of these trivial : 0
% 0.16/0.65 % ...subsumed : 12
% 0.16/0.65 % ...remaining for further processing : 173
% 0.16/0.65 % Other redundant clauses eliminated : 0
% 0.16/0.65 % Clauses deleted for lack of memory : 0
% 0.16/0.65 % Backward-subsumed : 46
% 0.16/0.65 % Backward-rewritten : 17
% 0.16/0.65 % Generated clauses : 301
% 0.16/0.65 % ...of the previous two non-redundant : 202
% 0.16/0.65 % ...aggressively subsumed : 0
% 0.16/0.65 % Contextual simplify-reflections : 3
% 0.16/0.65 % Paramodulations : 286
% 0.16/0.65 % Factorizations : 15
% 0.16/0.65 % NegExts : 0
% 0.16/0.65 % Equation resolutions : 0
% 0.16/0.65 % Disequality decompositions : 0
% 0.16/0.65 % Total rewrite steps : 229
% 0.16/0.65 % ...of those cached : 219
% 0.16/0.65 % Propositional unsat checks : 0
% 0.16/0.65 % Propositional check models : 0
% 0.16/0.65 % Propositional check unsatisfiable : 0
% 0.16/0.65 % Propositional clauses : 0
% 0.16/0.65 % Propositional clauses after purity: 0
% 0.16/0.65 % Propositional unsat core size : 0
% 0.16/0.65 % Propositional preprocessing time : 0.000
% 0.16/0.65 % Propositional encoding time : 0.000
% 0.16/0.65 % Propositional solver time : 0.000
% 0.16/0.65 % Success case prop preproc time : 0.000
% 0.16/0.65 % Success case prop encoding time : 0.000
% 0.16/0.65 % Success case prop solver time : 0.000
% 0.16/0.65 % Current number of processed clauses : 68
% 0.16/0.65 % Positive orientable unit clauses : 11
% 0.16/0.65 % Positive unorientable unit clauses: 0
% 0.16/0.65 % Negative unit clauses : 2
% 0.16/0.65 % Non-unit-clauses : 55
% 0.16/0.65 % Current number of unprocessed clauses: 75
% 0.16/0.65 % ...number of literals in the above : 545
% 0.16/0.65 % Current number of archived formulas : 0
% 0.16/0.65 % Current number of archived clauses : 106
% 0.16/0.65 % Clause-clause subsumption calls (NU) : 5313
% 0.16/0.65 % Rec. Clause-clause subsumption calls : 2921
% 0.16/0.65 % Non-unit clause-clause subsumptions : 61
% 0.16/0.65 % Unit Clause-clause subsumption calls : 21
% 0.16/0.65 % Rewrite failures with RHS unbound : 0
% 0.16/0.65 % BW rewrite match attempts : 1
% 0.16/0.65 % BW rewrite match successes : 1
% 0.16/0.65 % Condensation attempts : 0
% 0.16/0.65 % Condensation successes : 0
% 0.16/0.65 % Termbank termtop insertions : 13287
% 0.16/0.65 % Search garbage collected termcells : 957
% 0.16/0.65
% 0.16/0.65 % -------------------------------------------------
% 0.16/0.65 % User time : 0.016 s
% 0.16/0.65 % System time : 0.004 s
% 0.16/0.65 % Total time : 0.020 s
% 0.16/0.65 % Maximum resident set size: 3660 pages
% 0.16/0.65
% 0.16/0.65 % -------------------------------------------------
% 0.16/0.65 % User time : 0.074 s
% 0.16/0.65 % System time : 0.025 s
% 0.16/0.65 % Total time : 0.099 s
% 0.16/0.65 % Maximum resident set size: 4608 pages
% 0.16/0.65 % E exiting
%------------------------------------------------------------------------------