%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:00:46 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.63s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 87 ( 5 unt; 0 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 250 ( 96 ~; 106 |; 29 &)
% ( 17 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-1 aty)
% Number of variables : 125 ( 7 sgn 62 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_17,axiom,
! [X1] :
( ca_Cx7(X1)
<=> ? [X3] : ra_Px7(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(axiom_19,axiom,
! [X1] :
( ca_Cx7xcomp(X1)
<=> ~ ? [X2] : ra_Px7(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(axiom_3,axiom,
! [X1] :
( cUnsatisfiablexcomp(X1)
<=> ( ca_Cx6(X1)
& ca_Cx8(X1)
& ca_Cx7(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_16,axiom,
! [X1] :
( ca_Cx6xcomp(X1)
<=> ? [X3] : ra_Px6(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(axiom_14,axiom,
! [X1] :
( ca_Cx6(X1)
<=> ~ ? [X2] : ra_Px6(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_21,axiom,
! [X1] :
( ca_Cx8xcomp(X1)
<=> ? [X3] : ra_Px8(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(axiom_20,axiom,
! [X1] :
( ca_Cx8(X1)
<=> ~ ? [X2] : ra_Px8(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(axiom_22,axiom,
! [X1] :
( ca_Cx8xcomp(X1)
<=> ( cb(X1)
& cc(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(axiom_18,axiom,
! [X1] :
( ca_Cx7xcomp(X1)
<=> ( ca(X1)
& cc(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(axiom_10,axiom,
! [X1] :
( ccxcomp(X1)
<=> ~ ? [X2] : ra_Px2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_9,axiom,
! [X1] :
( cc(X1)
<=> ? [X3] : ra_Px2(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_15,axiom,
! [X1] :
( ca_Cx6xcomp(X1)
<=> ( cb(X1)
& ca(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(axiom_5,axiom,
! [X1] :
( ca(X1)
=> ca_Cx1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_11,axiom,
! [X1] :
( ca_Cx1(X1)
<=> ( ccxcomp(X1)
& cbxcomp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_8,axiom,
! [X1] :
( cbxcomp(X1)
<=> ~ ? [X2] : ra_Px3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_6,axiom,
! [X1] :
( cb(X1)
<=> ? [X3] : ra_Px3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X1] :
( cb(X1)
=> ccxcomp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_2,axiom,
! [X1] :
( cUnsatisfiable(X1)
<=> ~ ? [X2] : ra_Px5(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_4,axiom,
! [X1] :
( cUnsatisfiablexcomp(X1)
<=> ? [X3] : ra_Px5(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_23,axiom,
cUnsatisfiable(i2003_11_14_17_20_50869),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(c_0_20,plain,
! [X51,X53,X54] :
( ( ca_Cx7(X53)
| ~ ra_Px7(X53,X54) )
& ( ra_Px7(X51,esk11_1(X51))
| ~ ca_Cx7(X51) ) ),
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_17])])])])])]) ).
fof(c_0_21,plain,
! [X56,X57,X58] :
( ( ca_Cx7xcomp(X58)
| ra_Px7(X58,esk12_1(X58)) )
& ( ~ ra_Px7(X56,X57)
| ~ ca_Cx7xcomp(X56) ) ),
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_19])])])])])]) ).
fof(c_0_22,plain,
! [X10] :
( ( cUnsatisfiablexcomp(X10)
| ~ ca_Cx6(X10)
| ~ ca_Cx8(X10)
| ~ ca_Cx7(X10) )
& ( ~ cUnsatisfiablexcomp(X10)
| ca_Cx6(X10) )
& ( ~ cUnsatisfiablexcomp(X10)
| ca_Cx8(X10) )
& ( ~ cUnsatisfiablexcomp(X10)
| ca_Cx7(X10) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])]) ).
cnf(c_0_23,plain,
( ~ ra_Px7(X1,X2)
| ca_Cx7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
( ca_Cx7xcomp(X1)
| ra_Px7(X1,esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_25,plain,
! [X47,X49,X50] :
( ( ca_Cx6xcomp(X49)
| ~ ra_Px6(X49,X50) )
& ( ra_Px6(X47,esk10_1(X47))
| ~ ca_Cx6xcomp(X47) ) ),
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_16])])])])])]) ).
fof(c_0_26,plain,
! [X42,X43,X44] :
( ( ca_Cx6(X44)
| ra_Px6(X44,esk9_1(X44)) )
& ( ~ ra_Px6(X42,X43)
| ~ ca_Cx6(X42) ) ),
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_14])])])])])]) ).
cnf(c_0_27,plain,
( ~ ca_Cx6(X1)
| ~ ca_Cx8(X1)
| ~ ca_Cx7(X1)
| cUnsatisfiablexcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( ca_Cx7(X1)
| ca_Cx7xcomp(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
( ~ ra_Px6(X1,X2)
| ca_Cx6xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
( ca_Cx6(X1)
| ra_Px6(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_31,plain,
! [X64,X66,X67] :
( ( ca_Cx8xcomp(X66)
| ~ ra_Px8(X66,X67) )
& ( ra_Px8(X64,esk14_1(X64))
| ~ ca_Cx8xcomp(X64) ) ),
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_21])])])])])]) ).
fof(c_0_32,plain,
! [X60,X61,X62] :
( ( ca_Cx8(X62)
| ra_Px8(X62,esk13_1(X62)) )
& ( ~ ra_Px8(X60,X61)
| ~ ca_Cx8(X60) ) ),
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_20])])])])])]) ).
cnf(c_0_33,plain,
( ~ ca_Cx8(X1)
| ~ ca_Cx6(X1)
| cUnsatisfiablexcomp(X1)
| ca_Cx7xcomp(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
( ca_Cx6(X1)
| ca_Cx6xcomp(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
( ~ ra_Px8(X1,X2)
| ca_Cx8xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
( ca_Cx8(X1)
| ra_Px8(X1,esk13_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_37,plain,
! [X68] :
( ( ca_Cx8xcomp(X68)
| ~ cb(X68)
| ~ cc(X68) )
& ( ~ ca_Cx8xcomp(X68)
| cb(X68) )
& ( ~ ca_Cx8xcomp(X68)
| cc(X68) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_22])])])]) ).
cnf(c_0_38,plain,
( ~ ca_Cx8(X1)
| cUnsatisfiablexcomp(X1)
| ca_Cx6xcomp(X1)
| ca_Cx7xcomp(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( ca_Cx8(X1)
| ca_Cx8xcomp(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_40,plain,
! [X55] :
( ( ca_Cx7xcomp(X55)
| ~ ca(X55)
| ~ cc(X55) )
& ( ~ ca_Cx7xcomp(X55)
| ca(X55) )
& ( ~ ca_Cx7xcomp(X55)
| cc(X55) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_18])])])]) ).
fof(c_0_41,plain,
! [X29,X30,X31] :
( ( ccxcomp(X31)
| ra_Px2(X31,esk6_1(X31)) )
& ( ~ ra_Px2(X29,X30)
| ~ ccxcomp(X29) ) ),
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_10])])])])])]) ).
fof(c_0_42,plain,
! [X25,X27,X28] :
( ( cc(X27)
| ~ ra_Px2(X27,X28) )
& ( ra_Px2(X25,esk5_1(X25))
| ~ cc(X25) ) ),
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_9])])])])])]) ).
fof(c_0_43,plain,
! [X46] :
( ( ca_Cx6xcomp(X46)
| ~ cb(X46)
| ~ ca(X46) )
& ( ~ ca_Cx6xcomp(X46)
| cb(X46) )
& ( ~ ca_Cx6xcomp(X46)
| ca(X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_15])])])]) ).
fof(c_0_44,plain,
! [X15] :
( ca_Cx1(X15)
| ~ ca(X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
cnf(c_0_45,plain,
( ~ ca_Cx8xcomp(X1)
| cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
( cUnsatisfiablexcomp(X1)
| ca_Cx6xcomp(X1)
| ca_Cx7xcomp(X1)
| ca_Cx8xcomp(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,plain,
( ~ ca_Cx7xcomp(X1)
| cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
( ~ ra_Px2(X1,X2)
| ~ ccxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
( ~ cc(X1)
| ra_Px2(X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_50,plain,
! [X33] :
( ( ca_Cx1(X33)
| ~ ccxcomp(X33)
| ~ cbxcomp(X33) )
& ( ~ ca_Cx1(X33)
| ccxcomp(X33) )
& ( ~ ca_Cx1(X33)
| cbxcomp(X33) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])])])]) ).
cnf(c_0_51,plain,
( ~ ca_Cx8xcomp(X1)
| cb(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_52,plain,
( ~ ca_Cx6xcomp(X1)
| cb(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
( ~ ca(X1)
| ca_Cx1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_54,plain,
( ~ ca_Cx7xcomp(X1)
| ca(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_55,plain,
! [X21,X22,X23] :
( ( cbxcomp(X23)
| ra_Px3(X23,esk4_1(X23)) )
& ( ~ ra_Px3(X21,X22)
| ~ cbxcomp(X21) ) ),
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_8])])])])])]) ).
fof(c_0_56,plain,
! [X16,X18,X19] :
( ( cb(X18)
| ~ ra_Px3(X18,X19) )
& ( ra_Px3(X16,esk3_1(X16))
| ~ cb(X16) ) ),
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_6])])])])])]) ).
fof(c_0_57,plain,
! [X20] :
( ccxcomp(X20)
| ~ cb(X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).
cnf(c_0_58,plain,
( ~ ca_Cx6xcomp(X1)
| ca(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_59,plain,
( cUnsatisfiablexcomp(X1)
| cc(X1)
| ca_Cx6xcomp(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_60,plain,
( ~ ccxcomp(X1)
| ~ cc(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_61,plain,
( ~ ca_Cx1(X1)
| ccxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,plain,
( cUnsatisfiablexcomp(X1)
| cb(X1)
| ca_Cx7xcomp(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_52]) ).
cnf(c_0_63,plain,
( ~ ca_Cx7xcomp(X1)
| ca_Cx1(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_64,plain,
! [X6,X7,X8] :
( ( cUnsatisfiable(X8)
| ra_Px5(X8,esk1_1(X8)) )
& ( ~ ra_Px5(X6,X7)
| ~ cUnsatisfiable(X6) ) ),
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])])])])])]) ).
fof(c_0_65,plain,
! [X11,X13,X14] :
( ( cUnsatisfiablexcomp(X13)
| ~ ra_Px5(X13,X14) )
& ( ra_Px5(X11,esk2_1(X11))
| ~ cUnsatisfiablexcomp(X11) ) ),
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_4])])])])])]) ).
cnf(c_0_66,plain,
( ~ ra_Px3(X1,X2)
| ~ cbxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,plain,
( ~ cb(X1)
| ra_Px3(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_68,plain,
( ~ cb(X1)
| ccxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_69,plain,
( cUnsatisfiablexcomp(X1)
| ca(X1)
| cc(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,plain,
( ~ ca_Cx1(X1)
| ~ cc(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_71,plain,
( cUnsatisfiablexcomp(X1)
| cb(X1)
| cc(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_62]) ).
cnf(c_0_72,plain,
( cUnsatisfiablexcomp(X1)
| ca_Cx1(X1)
| cb(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_62]) ).
cnf(c_0_73,plain,
( ~ ra_Px5(X1,X2)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_74,plain,
( ~ cUnsatisfiablexcomp(X1)
| ra_Px5(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_75,plain,
( ~ cb(X1)
| ~ cbxcomp(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_76,plain,
( ~ ca_Cx1(X1)
| cbxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_77,plain,
( ~ cb(X1)
| ~ cc(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_68]) ).
cnf(c_0_78,plain,
( cUnsatisfiablexcomp(X1)
| ca_Cx1(X1)
| cc(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_69]) ).
cnf(c_0_79,plain,
( cUnsatisfiablexcomp(X1)
| cb(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_80,plain,
( ~ cUnsatisfiable(X1)
| ~ cUnsatisfiablexcomp(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_81,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(split_conjunct,[status(thm)],[axiom_23]) ).
cnf(c_0_82,plain,
( ~ ca_Cx1(X1)
| ~ cb(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
( cUnsatisfiablexcomp(X1)
| ca_Cx1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_84,plain,
~ cUnsatisfiablexcomp(i2003_11_14_17_20_50869),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,plain,
cUnsatisfiablexcomp(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_79]) ).
cnf(c_0_86,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.55 % Computer : n026.cluster.edu
% 0.12/5.55 % Model : x86_64 x86_64
% 0.12/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.55 % Memory : 8046.5625MB
% 0.12/5.55 % OS : Linux 6.8.0-71-generic
% 0.12/5.55 % CPULimit : 300
% 0.12/5.55 % WCLimit : 300
% 0.12/5.55 % DateTime : Sun Sep 20 22:56:13 UTC 2026
% 0.12/5.56 % CPUTime :
% 0.12/5.56 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.60 Running first-order theorem proving
% 0.15/5.60 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
% 0.15/5.63 % Version: 3.5.1
% 0.15/5.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.63 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.63 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.63 % Starting sh5l with 300s (1) cores
% 0.15/5.63 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 774229 completed with status 0
% 0.15/5.63 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/5.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.63 % No SInE strategy applied
% 0.15/5.63 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.15/5.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.63 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/5.63 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.15/5.63 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/5.63 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.15/5.63 % SubtermCWHack with pid 774243 completed with status 0
% 0.15/5.63 % Result found by SubtermCWHack
% 0.15/5.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.63 % No SInE strategy applied
% 0.15/5.63 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.15/5.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.63 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.63 % Preprocessing time : 0.002 s
% 0.15/5.63
% 0.15/5.63 % Proof found!
% 0.15/5.63 % SZS status Unsatisfiable
% 0.15/5.63 % SZS output start CNFRefutation
% See solution above
% 0.15/5.63 % Parsed axioms : 24
% 0.15/5.63 % Removed by relevancy pruning/SinE : 0
% 0.15/5.63 % Initial clauses : 51
% 0.15/5.63 % Removed in clause preprocessing : 1
% 0.15/5.63 % Initial clauses in saturation : 50
% 0.15/5.63 % Processed clauses : 90
% 0.15/5.63 % ...of these trivial : 0
% 0.15/5.63 % ...subsumed : 2
% 0.15/5.63 % ...remaining for further processing : 88
% 0.15/5.63 % Other redundant clauses eliminated : 0
% 0.15/5.63 % Clauses deleted for lack of memory : 0
% 0.15/5.63 % Backward-subsumed : 6
% 0.15/5.63 % Backward-rewritten : 19
% 0.15/5.63 % Generated clauses : 83
% 0.15/5.63 % ...of the previous two non-redundant : 49
% 0.15/5.63 % ...aggressively subsumed : 0
% 0.15/5.63 % Contextual simplify-reflections : 5
% 0.15/5.63 % Paramodulations : 83
% 0.15/5.63 % Factorizations : 0
% 0.15/5.63 % NegExts : 0
% 0.15/5.63 % Equation resolutions : 0
% 0.15/5.63 % Disequality decompositions : 0
% 0.15/5.63 % Total rewrite steps : 19
% 0.15/5.63 % ...of those cached : 17
% 0.15/5.63 % Propositional unsat checks : 0
% 0.15/5.63 % Propositional check models : 0
% 0.15/5.63 % Propositional check unsatisfiable : 0
% 0.15/5.63 % Propositional clauses : 0
% 0.15/5.63 % Propositional clauses after purity: 0
% 0.15/5.63 % Propositional unsat core size : 0
% 0.15/5.63 % Propositional preprocessing time : 0.000
% 0.15/5.63 % Propositional encoding time : 0.000
% 0.15/5.63 % Propositional solver time : 0.000
% 0.15/5.63 % Success case prop preproc time : 0.000
% 0.15/5.63 % Success case prop encoding time : 0.000
% 0.15/5.63 % Success case prop solver time : 0.000
% 0.15/5.63 % Current number of processed clauses : 63
% 0.15/5.63 % Positive orientable unit clauses : 3
% 0.15/5.63 % Positive unorientable unit clauses: 0
% 0.15/5.63 % Negative unit clauses : 1
% 0.15/5.63 % Non-unit-clauses : 59
% 0.15/5.63 % Current number of unprocessed clauses: 0
% 0.15/5.63 % ...number of literals in the above : 0
% 0.15/5.63 % Current number of archived formulas : 0
% 0.15/5.63 % Current number of archived clauses : 26
% 0.15/5.63 % Clause-clause subsumption calls (NU) : 1216
% 0.15/5.63 % Rec. Clause-clause subsumption calls : 797
% 0.15/5.63 % Non-unit clause-clause subsumptions : 12
% 0.15/5.63 % Unit Clause-clause subsumption calls : 39
% 0.15/5.63 % Rewrite failures with RHS unbound : 0
% 0.15/5.63 % BW rewrite match attempts : 2
% 0.15/5.63 % BW rewrite match successes : 2
% 0.15/5.63 % Condensation attempts : 0
% 0.15/5.63 % Condensation successes : 0
% 0.15/5.63 % Termbank termtop insertions : 3618
% 0.15/5.63 % Search garbage collected termcells : 740
% 0.15/5.63
% 0.15/5.63 % -------------------------------------------------
% 0.15/5.63 % User time : 0.009 s
% 0.15/5.63 % System time : 0.006 s
% 0.15/5.63 % Total time : 0.015 s
% 0.15/5.63 % Maximum resident set size: 3652 pages
% 0.15/5.63
% 0.15/5.63 % -------------------------------------------------
% 0.15/5.63 % User time : 0.033 s
% 0.15/5.63 % System time : 0.017 s
% 0.15/5.63 % Total time : 0.049 s
% 0.15/5.63 % Maximum resident set size: 4608 pages
% 0.15/5.63 % E exiting
%------------------------------------------------------------------------------