TSTP Solution File: KRS080+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : KRS080+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 08:12:02 EDT 2024
% Result : Unsatisfiable 0.22s 0.54s
% Output : CNFRefutation 0.22s
% 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] :
( rr(X4,X5)
& cp(X5)
& cp1(X5) )
& ? [X5] :
( rr(X4,X5)
& cp1(X5) )
& ? [X5] :
( rr(X4,X5)
& cp4(X5) )
& ! [X6,X7,X8,X9] :
( ( rr(X4,X6)
& rr(X4,X7)
& rr(X4,X8)
& rr(X4,X9) )
=> ( X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9 ) )
& ? [X5] :
( rr(X4,X5)
& cp2(X5) )
& ? [X5] :
( rr(X4,X5)
& cp3(X5) )
& ? [X5] :
( rr(X4,X5)
& cp(X5)
& cp3(X5) )
& ? [X5] :
( rr(X4,X5)
& cp2(X5)
& cp(X5) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qZxbcNYMtx/E---3.1_29021.p',axiom_2) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('/export/starexec/sandbox2/tmp/tmp.qZxbcNYMtx/E---3.1_29021.p',axiom_7) ).
fof(axiom_5,axiom,
! [X4] :
( cp3(X4)
=> ~ ( cp4(X4)
| cp5(X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qZxbcNYMtx/E---3.1_29021.p',axiom_5) ).
fof(axiom_4,axiom,
! [X4] :
( cp2(X4)
=> ~ ( cp4(X4)
| cp5(X4)
| cp3(X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qZxbcNYMtx/E---3.1_29021.p',axiom_4) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
=> ~ ( cp2(X4)
| cp4(X4)
| cp5(X4)
| cp3(X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qZxbcNYMtx/E---3.1_29021.p',axiom_3) ).
fof(c_0_5,plain,
! [X40,X44,X45,X46,X47,X52,X53,X54,X55,X60,X61,X62,X63] :
( ( rr(X40,esk1_1(X40))
| ~ cUnsatisfiable(X40) )
& ( cp(esk1_1(X40))
| ~ cUnsatisfiable(X40) )
& ( cp1(esk1_1(X40))
| ~ cUnsatisfiable(X40) )
& ( rr(X40,esk2_1(X40))
| ~ cUnsatisfiable(X40) )
& ( cp1(esk2_1(X40))
| ~ cUnsatisfiable(X40) )
& ( rr(X40,esk3_1(X40))
| ~ cUnsatisfiable(X40) )
& ( cp4(esk3_1(X40))
| ~ cUnsatisfiable(X40) )
& ( ~ rr(X40,X44)
| ~ rr(X40,X45)
| ~ rr(X40,X46)
| ~ rr(X40,X47)
| X44 = X45
| X44 = X46
| X44 = X47
| X45 = X46
| X45 = X47
| X46 = X47
| ~ cUnsatisfiable(X40) )
& ( rr(X40,esk4_1(X40))
| ~ cUnsatisfiable(X40) )
& ( cp2(esk4_1(X40))
| ~ cUnsatisfiable(X40) )
& ( rr(X40,esk5_1(X40))
| ~ cUnsatisfiable(X40) )
& ( cp3(esk5_1(X40))
| ~ cUnsatisfiable(X40) )
& ( rr(X40,esk6_1(X40))
| ~ cUnsatisfiable(X40) )
& ( cp(esk6_1(X40))
| ~ cUnsatisfiable(X40) )
& ( cp3(esk6_1(X40))
| ~ cUnsatisfiable(X40) )
& ( rr(X40,esk7_1(X40))
| ~ cUnsatisfiable(X40) )
& ( cp2(esk7_1(X40))
| ~ cUnsatisfiable(X40) )
& ( cp(esk7_1(X40))
| ~ cUnsatisfiable(X40) )
& ( rr(X52,esk8_1(X52))
| ~ rr(X52,X53)
| ~ cp(X53)
| ~ cp1(X53)
| ~ rr(X52,X54)
| ~ cp1(X54)
| ~ rr(X52,X55)
| ~ cp4(X55)
| ~ rr(X52,X60)
| ~ cp2(X60)
| ~ rr(X52,X61)
| ~ cp3(X61)
| ~ rr(X52,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X52,X63)
| ~ cp2(X63)
| ~ cp(X63)
| cUnsatisfiable(X52) )
& ( rr(X52,esk9_1(X52))
| ~ rr(X52,X53)
| ~ cp(X53)
| ~ cp1(X53)
| ~ rr(X52,X54)
| ~ cp1(X54)
| ~ rr(X52,X55)
| ~ cp4(X55)
| ~ rr(X52,X60)
| ~ cp2(X60)
| ~ rr(X52,X61)
| ~ cp3(X61)
| ~ rr(X52,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X52,X63)
| ~ cp2(X63)
| ~ cp(X63)
| cUnsatisfiable(X52) )
& ( rr(X52,esk10_1(X52))
| ~ rr(X52,X53)
| ~ cp(X53)
| ~ cp1(X53)
| ~ rr(X52,X54)
| ~ cp1(X54)
| ~ rr(X52,X55)
| ~ cp4(X55)
| ~ rr(X52,X60)
| ~ cp2(X60)
| ~ rr(X52,X61)
| ~ cp3(X61)
| ~ rr(X52,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X52,X63)
| ~ cp2(X63)
| ~ cp(X63)
| cUnsatisfiable(X52) )
& ( rr(X52,esk11_1(X52))
| ~ rr(X52,X53)
| ~ cp(X53)
| ~ cp1(X53)
| ~ rr(X52,X54)
| ~ cp1(X54)
| ~ rr(X52,X55)
| ~ cp4(X55)
| ~ rr(X52,X60)
| ~ cp2(X60)
| ~ rr(X52,X61)
| ~ cp3(X61)
| ~ rr(X52,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X52,X63)
| ~ cp2(X63)
| ~ cp(X63)
| cUnsatisfiable(X52) )
& ( esk8_1(X52) != esk9_1(X52)
| ~ rr(X52,X53)
| ~ cp(X53)
| ~ cp1(X53)
| ~ rr(X52,X54)
| ~ cp1(X54)
| ~ rr(X52,X55)
| ~ cp4(X55)
| ~ rr(X52,X60)
| ~ cp2(X60)
| ~ rr(X52,X61)
| ~ cp3(X61)
| ~ rr(X52,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X52,X63)
| ~ cp2(X63)
| ~ cp(X63)
| cUnsatisfiable(X52) )
& ( esk8_1(X52) != esk10_1(X52)
| ~ rr(X52,X53)
| ~ cp(X53)
| ~ cp1(X53)
| ~ rr(X52,X54)
| ~ cp1(X54)
| ~ rr(X52,X55)
| ~ cp4(X55)
| ~ rr(X52,X60)
| ~ cp2(X60)
| ~ rr(X52,X61)
| ~ cp3(X61)
| ~ rr(X52,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X52,X63)
| ~ cp2(X63)
| ~ cp(X63)
| cUnsatisfiable(X52) )
& ( esk8_1(X52) != esk11_1(X52)
| ~ rr(X52,X53)
| ~ cp(X53)
| ~ cp1(X53)
| ~ rr(X52,X54)
| ~ cp1(X54)
| ~ rr(X52,X55)
| ~ cp4(X55)
| ~ rr(X52,X60)
| ~ cp2(X60)
| ~ rr(X52,X61)
| ~ cp3(X61)
| ~ rr(X52,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X52,X63)
| ~ cp2(X63)
| ~ cp(X63)
| cUnsatisfiable(X52) )
& ( esk9_1(X52) != esk10_1(X52)
| ~ rr(X52,X53)
| ~ cp(X53)
| ~ cp1(X53)
| ~ rr(X52,X54)
| ~ cp1(X54)
| ~ rr(X52,X55)
| ~ cp4(X55)
| ~ rr(X52,X60)
| ~ cp2(X60)
| ~ rr(X52,X61)
| ~ cp3(X61)
| ~ rr(X52,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X52,X63)
| ~ cp2(X63)
| ~ cp(X63)
| cUnsatisfiable(X52) )
& ( esk9_1(X52) != esk11_1(X52)
| ~ rr(X52,X53)
| ~ cp(X53)
| ~ cp1(X53)
| ~ rr(X52,X54)
| ~ cp1(X54)
| ~ rr(X52,X55)
| ~ cp4(X55)
| ~ rr(X52,X60)
| ~ cp2(X60)
| ~ rr(X52,X61)
| ~ cp3(X61)
| ~ rr(X52,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X52,X63)
| ~ cp2(X63)
| ~ cp(X63)
| cUnsatisfiable(X52) )
& ( esk10_1(X52) != esk11_1(X52)
| ~ rr(X52,X53)
| ~ cp(X53)
| ~ cp1(X53)
| ~ rr(X52,X54)
| ~ cp1(X54)
| ~ rr(X52,X55)
| ~ cp4(X55)
| ~ rr(X52,X60)
| ~ cp2(X60)
| ~ rr(X52,X61)
| ~ cp3(X61)
| ~ rr(X52,X62)
| ~ cp(X62)
| ~ cp3(X62)
| ~ rr(X52,X63)
| ~ cp2(X63)
| ~ cp(X63)
| cUnsatisfiable(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)],[axiom_2])])])])])])]) ).
cnf(c_0_6,plain,
( rr(X1,esk7_1(X1))
| ~ cUnsatisfiable(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,
( X2 = X3
| X2 = X4
| X2 = X5
| X3 = X4
| X3 = X5
| X4 = X5
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ rr(X1,X4)
| ~ rr(X1,X5)
| ~ cUnsatisfiable(X1) ),
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,
( rr(X1,esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( X1 = esk7_1(i2003_11_14_17_19_21224)
| X2 = esk7_1(i2003_11_14_17_19_21224)
| X3 = esk7_1(i2003_11_14_17_19_21224)
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rr(i2003_11_14_17_19_21224,X3)
| ~ rr(i2003_11_14_17_19_21224,X2)
| ~ rr(i2003_11_14_17_19_21224,X1) ),
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,
( rr(X1,esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_14,plain,
! [X66] :
( ( ~ cp4(X66)
| ~ cp3(X66) )
& ( ~ cp5(X66)
| ~ cp3(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,
( esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| X1 = esk6_1(i2003_11_14_17_19_21224)
| X2 = esk6_1(i2003_11_14_17_19_21224)
| X1 = esk7_1(i2003_11_14_17_19_21224)
| X2 = esk7_1(i2003_11_14_17_19_21224)
| X2 = X1
| ~ rr(i2003_11_14_17_19_21224,X1)
| ~ rr(i2003_11_14_17_19_21224,X2) ),
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,
( rr(X1,esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
( ~ cp4(X1)
| ~ cp3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( cp4(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,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)
| X1 = esk5_1(i2003_11_14_17_19_21224)
| X1 = esk7_1(i2003_11_14_17_19_21224)
| X1 = esk6_1(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X1) ),
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] :
( ( ~ cp4(X65)
| ~ cp2(X65) )
& ( ~ cp5(X65)
| ~ cp2(X65) )
& ( ~ cp3(X65)
| ~ cp2(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,
( ~ cp3(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( 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)
| esk3_1(i2003_11_14_17_19_21224) = 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_20,c_0_21]) ).
cnf(c_0_25,plain,
( ~ cp4(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,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)
| ~ cp3(esk5_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,
( cp3(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,plain,
( ~ cp2(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_29,plain,
( 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_26,c_0_27]),c_0_7])]) ).
fof(c_0_30,plain,
! [X64] :
( ( ~ cp2(X64)
| ~ cp1(X64) )
& ( ~ cp4(X64)
| ~ cp1(X64) )
& ( ~ cp5(X64)
| ~ cp1(X64) )
& ( ~ cp3(X64)
| ~ cp1(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,
( rr(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_32,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)
| ~ cp2(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,
( cp2(esk7_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_34,plain,
( ~ cp4(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,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)
| X1 = esk3_1(i2003_11_14_17_19_21224)
| X1 = esk7_1(i2003_11_14_17_19_21224)
| X1 = esk6_1(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,X1) ),
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,
( 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_32,c_0_33]),c_0_7])]) ).
cnf(c_0_38,plain,
( ~ cp1(esk3_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_19]) ).
cnf(c_0_39,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)
| esk3_1(i2003_11_14_17_19_21224) = esk2_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_35,c_0_36]) ).
cnf(c_0_40,plain,
( ~ cp3(X1)
| ~ cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_41,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)
| ~ cp3(esk6_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,
( cp3(esk6_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_43,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)
| ~ cp1(esk2_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,
( cp1(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_45,plain,
( ~ cp2(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_27]) ).
cnf(c_0_46,plain,
( 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_41,c_0_42]),c_0_7])]) ).
cnf(c_0_47,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)
| 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_43,c_0_44]),c_0_7])]) ).
cnf(c_0_48,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)
| ~ cp2(esk7_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,
( 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)
| ~ cp2(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_47]),c_0_7])]) ).
cnf(c_0_50,plain,
( 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_48,c_0_33]),c_0_7])]) ).
cnf(c_0_51,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)
| 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_49,c_0_33]),c_0_7])]) ).
cnf(c_0_52,plain,
( esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| cp3(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,
( ~ cp2(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_54,plain,
( 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(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,
( ~ cp3(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_56,plain,
( ~ cp1(esk7_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_33]) ).
cnf(c_0_57,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)
| cp1(esk7_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,
( ~ cp1(esk5_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_27]) ).
cnf(c_0_59,plain,
( 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_56,c_0_57]),c_0_7])]) ).
cnf(c_0_60,plain,
( esk7_1(i2003_11_14_17_19_21224) = esk6_1(i2003_11_14_17_19_21224)
| ~ cp1(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,
( ~ cp2(esk6_1(X1))
| ~ cUnsatisfiable(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
% 0.03/0.13 % Problem : KRS080+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 14:06:57 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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/tmp/tmp.qZxbcNYMtx/E---3.1_29021.p
% 0.22/0.54 # Version: 3.1.0
% 0.22/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.54 # Starting sh5l with 300s (1) cores
% 0.22/0.54 # new_bool_3 with pid 29153 completed with status 8
% 0.22/0.54 # sh5l with pid 29155 completed with status 8
% 0.22/0.54 # new_bool_1 with pid 29154 completed with status 8
% 0.22/0.54 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29152 completed with status 0
% 0.22/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.54 # No SInE strategy applied
% 0.22/0.54 # Search class: FGHSF-FFMF11-SFFFFFNN
% 0.22/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.22/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.54 # Starting new_bool_3 with 136s (1) cores
% 0.22/0.54 # Starting new_bool_1 with 136s (1) cores
% 0.22/0.54 # Starting sh5l with 136s (1) cores
% 0.22/0.54 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 29171 completed with status 0
% 0.22/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.22/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.54 # No SInE strategy applied
% 0.22/0.54 # Search class: FGHSF-FFMF11-SFFFFFNN
% 0.22/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.22/0.54 # Preprocessing time : 0.002 s
% 0.22/0.54 # Presaturation interreduction done
% 0.22/0.54
% 0.22/0.54 # Proof found!
% 0.22/0.54 # SZS status Unsatisfiable
% 0.22/0.54 # SZS output start CNFRefutation
% See solution above
% 0.22/0.54 # Parsed axioms : 21
% 0.22/0.54 # Removed by relevancy pruning/SinE : 0
% 0.22/0.54 # Initial clauses : 56
% 0.22/0.54 # Removed in clause preprocessing : 14
% 0.22/0.54 # Initial clauses in saturation : 42
% 0.22/0.54 # Processed clauses : 185
% 0.22/0.54 # ...of these trivial : 0
% 0.22/0.54 # ...subsumed : 12
% 0.22/0.54 # ...remaining for further processing : 173
% 0.22/0.54 # Other redundant clauses eliminated : 0
% 0.22/0.54 # Clauses deleted for lack of memory : 0
% 0.22/0.54 # Backward-subsumed : 46
% 0.22/0.54 # Backward-rewritten : 17
% 0.22/0.54 # Generated clauses : 259
% 0.22/0.54 # ...of the previous two non-redundant : 202
% 0.22/0.54 # ...aggressively subsumed : 0
% 0.22/0.54 # Contextual simplify-reflections : 3
% 0.22/0.54 # Paramodulations : 244
% 0.22/0.54 # Factorizations : 15
% 0.22/0.54 # NegExts : 0
% 0.22/0.54 # Equation resolutions : 0
% 0.22/0.54 # Disequality decompositions : 0
% 0.22/0.54 # Total rewrite steps : 169
% 0.22/0.54 # ...of those cached : 159
% 0.22/0.54 # Propositional unsat checks : 0
% 0.22/0.54 # Propositional check models : 0
% 0.22/0.54 # Propositional check unsatisfiable : 0
% 0.22/0.54 # Propositional clauses : 0
% 0.22/0.54 # Propositional clauses after purity: 0
% 0.22/0.54 # Propositional unsat core size : 0
% 0.22/0.54 # Propositional preprocessing time : 0.000
% 0.22/0.54 # Propositional encoding time : 0.000
% 0.22/0.54 # Propositional solver time : 0.000
% 0.22/0.54 # Success case prop preproc time : 0.000
% 0.22/0.54 # Success case prop encoding time : 0.000
% 0.22/0.54 # Success case prop solver time : 0.000
% 0.22/0.54 # Current number of processed clauses : 68
% 0.22/0.54 # Positive orientable unit clauses : 11
% 0.22/0.54 # Positive unorientable unit clauses: 0
% 0.22/0.54 # Negative unit clauses : 2
% 0.22/0.54 # Non-unit-clauses : 55
% 0.22/0.54 # Current number of unprocessed clauses: 75
% 0.22/0.54 # ...number of literals in the above : 545
% 0.22/0.54 # Current number of archived formulas : 0
% 0.22/0.54 # Current number of archived clauses : 106
% 0.22/0.54 # Clause-clause subsumption calls (NU) : 4051
% 0.22/0.54 # Rec. Clause-clause subsumption calls : 2705
% 0.22/0.54 # Non-unit clause-clause subsumptions : 61
% 0.22/0.54 # Unit Clause-clause subsumption calls : 41
% 0.22/0.54 # Rewrite failures with RHS unbound : 0
% 0.22/0.54 # BW rewrite match attempts : 1
% 0.22/0.54 # BW rewrite match successes : 1
% 0.22/0.54 # Condensation attempts : 0
% 0.22/0.54 # Condensation successes : 0
% 0.22/0.54 # Termbank termtop insertions : 10942
% 0.22/0.54 # Search garbage collected termcells : 957
% 0.22/0.54
% 0.22/0.54 # -------------------------------------------------
% 0.22/0.54 # User time : 0.024 s
% 0.22/0.54 # System time : 0.005 s
% 0.22/0.54 # Total time : 0.029 s
% 0.22/0.54 # Maximum resident set size: 1924 pages
% 0.22/0.54
% 0.22/0.54 # -------------------------------------------------
% 0.22/0.54 # User time : 0.138 s
% 0.22/0.54 # System time : 0.038 s
% 0.22/0.54 # Total time : 0.177 s
% 0.22/0.54 # Maximum resident set size: 1760 pages
% 0.22/0.54 % E---3.1 exiting
% 0.22/0.54 % E exiting
%------------------------------------------------------------------------------