%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : KRS116+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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:01:32 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 70 ( 5 unt; 0 def)
% Number of atoms : 372 ( 0 equ)
% Maximal formula atoms : 164 ( 5 avg)
% Number of connectives : 501 ( 199 ~; 226 |; 54 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 1 con; 0-1 aty)
% Number of variables : 125 ( 4 sgn 68 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_6,axiom,
! [X1] :
( cc(X1)
<=> ! [X2] :
( rinvR(X1,X2)
=> ca_Vx7(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_14,axiom,
! [X1,X2] :
( rinvR(X1,X2)
<=> rr(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_0,axiom,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_12,axiom,
! [X1] :
( ca_Vx7(X1)
<=> ! [X2] :
( rinvP(X1,X2)
=> ca_Vx6(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X1,X2] :
( rinvP(X1,X2)
<=> rp(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(axiom_8,axiom,
! [X1] :
( ca_Vx3(X1)
<=> ? [X2] :
( cowlThing(X2)
& rr(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_10,axiom,
! [X1] :
( ca_Vx5(X1)
<=> ! [X2] :
( rr(X1,X2)
=> cc(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_9,axiom,
! [X1] :
( ca_Vx4(X1)
<=> ? [X2] :
( cowlThing(X2)
& rp(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_4,axiom,
! [X1] :
( ca(X1)
<=> ~ ? [X2] : ra_Px1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X1] :
( caxcomp(X1)
<=> ? [X3] : ra_Px1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_7,axiom,
! [X1] :
( ca_Ax2(X1)
<=> ( ! [X2] :
( rp(X1,X2)
=> ca_Vx4(X2) )
& ? [X2] :
( cowlThing(X2)
& rp(X1,X2) )
& ? [X2] :
( cowlThing(X2)
& rr(X1,X2) )
& ! [X2] :
( rr(X1,X2)
=> cc(X2) )
& ! [X2] :
( rp(X1,X2)
=> ca_Vx5(X2) )
& ! [X2] :
( rp(X1,X2)
=> ca_Vx3(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_15,axiom,
! [X1,X2] :
( rinvS(X1,X2)
<=> rs(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(axiom_3,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ? [X2] :
( ca_Ax2(X2)
& rs(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_2,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ca(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_11,axiom,
! [X1] :
( ca_Vx6(X1)
<=> ! [X2] :
( rinvS(X1,X2)
=> caxcomp(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_17,axiom,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(c_0_16,plain,
! [X18,X19,X20] :
( ( cc(X20)
| ~ ca_Vx7(esk4_1(X20)) )
& ( cc(X20)
| rinvR(X20,esk4_1(X20)) )
& ( ca_Vx7(X19)
| ~ rinvR(X18,X19)
| ~ cc(X18) ) ),
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_6])])])])])])]) ).
fof(c_0_17,plain,
! [X58,X59] :
( ( rinvR(X58,X59)
| ~ rr(X59,X58) )
& ( rr(X59,X58)
| ~ rinvR(X58,X59) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_14])])]) ).
fof(c_0_18,plain,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_19,plain,
! [X52,X53,X54] :
( ( ca_Vx7(X54)
| ~ ca_Vx6(esk15_1(X54)) )
& ( ca_Vx7(X54)
| rinvP(X54,esk15_1(X54)) )
& ( ca_Vx6(X53)
| ~ rinvP(X52,X53)
| ~ ca_Vx7(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_12])])])])])])]) ).
fof(c_0_20,plain,
! [X56,X57] :
( ( rinvP(X56,X57)
| ~ rp(X57,X56) )
& ( rp(X57,X56)
| ~ rinvP(X56,X57) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_13])])]) ).
cnf(c_0_21,plain,
( ~ rinvR(X1,X2)
| ~ cc(X1)
| ca_Vx7(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( ~ rr(X1,X2)
| rinvR(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
! [X36,X38,X39] :
( ( ca_Vx3(X38)
| ~ cowlThing(X39)
| ~ rr(X38,X39) )
& ( ~ ca_Vx3(X36)
| cowlThing(esk11_1(X36)) )
& ( ~ ca_Vx3(X36)
| rr(X36,esk11_1(X36)) ) ),
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_8])])])])])])]) ).
fof(c_0_24,plain,
! [X44,X45,X46] :
( ( ca_Vx5(X46)
| ~ cc(esk13_1(X46)) )
& ( ca_Vx5(X46)
| rr(X46,esk13_1(X46)) )
& ( cc(X45)
| ~ rr(X44,X45)
| ~ ca_Vx5(X44) ) ),
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_10])])])])])])]) ).
fof(c_0_25,plain,
! [X40,X42,X43] :
( ( ca_Vx4(X42)
| ~ cowlThing(X43)
| ~ rp(X42,X43) )
& ( ~ ca_Vx4(X40)
| cowlThing(esk12_1(X40)) )
& ( ~ ca_Vx4(X40)
| rp(X40,esk12_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_9])])])])])])]) ).
fof(c_0_26,plain,
! [X5] :
( ~ cowlNothing(X5)
& cowlThing(X5) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_18])]) ).
fof(c_0_27,plain,
! [X10,X11,X12] :
( ( ca(X12)
| ra_Px1(X12,esk2_1(X12)) )
& ( ~ ra_Px1(X10,X11)
| ~ ca(X10) ) ),
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])])])])])]) ).
fof(c_0_28,plain,
! [X14,X16,X17] :
( ( caxcomp(X16)
| ~ ra_Px1(X16,X17) )
& ( ra_Px1(X14,esk3_1(X14))
| ~ caxcomp(X14) ) ),
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_5])])])])])]) ).
cnf(c_0_29,plain,
( ~ rinvP(X1,X2)
| ~ ca_Vx7(X1)
| ca_Vx6(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( ~ rp(X1,X2)
| rinvP(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,plain,
( ~ cc(X2)
| ~ rr(X1,X2)
| ca_Vx7(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_32,plain,
( ~ ca_Vx3(X1)
| rr(X1,esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( ~ rr(X1,X2)
| ~ ca_Vx5(X1)
| cc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
( ~ cowlThing(X2)
| ~ rp(X1,X2)
| ca_Vx4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_36,plain,
! [X22,X23,X24,X25,X28,X29,X33,X34] :
( ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| ~ ca_Vx3(esk7_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| ~ cc(esk9_1(X29))
| ~ ca_Vx4(esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| ~ ca_Vx3(esk7_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| ~ cc(esk9_1(X29))
| rp(X29,esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| ~ ca_Vx3(esk7_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| rr(X29,esk9_1(X29))
| ~ ca_Vx4(esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| ~ ca_Vx3(esk7_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| rr(X29,esk9_1(X29))
| rp(X29,esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| ~ ca_Vx3(esk7_1(X29))
| rp(X29,esk8_1(X29))
| ~ cc(esk9_1(X29))
| ~ ca_Vx4(esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| ~ ca_Vx3(esk7_1(X29))
| rp(X29,esk8_1(X29))
| ~ cc(esk9_1(X29))
| rp(X29,esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| ~ ca_Vx3(esk7_1(X29))
| rp(X29,esk8_1(X29))
| rr(X29,esk9_1(X29))
| ~ ca_Vx4(esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| ~ ca_Vx3(esk7_1(X29))
| rp(X29,esk8_1(X29))
| rr(X29,esk9_1(X29))
| rp(X29,esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| rp(X29,esk7_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| ~ cc(esk9_1(X29))
| ~ ca_Vx4(esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| rp(X29,esk7_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| ~ cc(esk9_1(X29))
| rp(X29,esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| rp(X29,esk7_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| rr(X29,esk9_1(X29))
| ~ ca_Vx4(esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| rp(X29,esk7_1(X29))
| ~ ca_Vx5(esk8_1(X29))
| rr(X29,esk9_1(X29))
| rp(X29,esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| rp(X29,esk7_1(X29))
| rp(X29,esk8_1(X29))
| ~ cc(esk9_1(X29))
| ~ ca_Vx4(esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| rp(X29,esk7_1(X29))
| rp(X29,esk8_1(X29))
| ~ cc(esk9_1(X29))
| rp(X29,esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| rp(X29,esk7_1(X29))
| rp(X29,esk8_1(X29))
| rr(X29,esk9_1(X29))
| ~ ca_Vx4(esk10_1(X29)) )
& ( ca_Ax2(X29)
| ~ cowlThing(X34)
| ~ rp(X29,X34)
| ~ cowlThing(X33)
| ~ rr(X29,X33)
| rp(X29,esk7_1(X29))
| rp(X29,esk8_1(X29))
| rr(X29,esk9_1(X29))
| rp(X29,esk10_1(X29)) )
& ( ~ ca_Ax2(X22)
| ca_Vx4(X28)
| ~ rp(X22,X28) )
& ( ~ ca_Ax2(X22)
| cowlThing(esk6_1(X22)) )
& ( ~ ca_Ax2(X22)
| rp(X22,esk6_1(X22)) )
& ( ~ ca_Ax2(X22)
| cowlThing(esk5_1(X22)) )
& ( ~ ca_Ax2(X22)
| rr(X22,esk5_1(X22)) )
& ( ~ ca_Ax2(X22)
| cc(X25)
| ~ rr(X22,X25) )
& ( ~ ca_Ax2(X22)
| ca_Vx5(X24)
| ~ rp(X22,X24) )
& ( ~ ca_Ax2(X22)
| ca_Vx3(X23)
| ~ rp(X22,X23) ) ),
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_7])])])])])])]) ).
fof(c_0_37,plain,
! [X60,X61] :
( ( rinvS(X60,X61)
| ~ rs(X61,X60) )
& ( rs(X61,X60)
| ~ rinvS(X60,X61) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_15])])]) ).
fof(c_0_38,plain,
! [X8] :
( ( ~ cUnsatisfiable(X8)
| ca_Ax2(esk1_1(X8)) )
& ( ~ cUnsatisfiable(X8)
| rs(X8,esk1_1(X8)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])])]) ).
cnf(c_0_39,plain,
( ~ ra_Px1(X1,X2)
| ~ ca(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
( ~ caxcomp(X1)
| ra_Px1(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_41,plain,
! [X7] :
( ca(X7)
| ~ cUnsatisfiable(X7) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
cnf(c_0_42,plain,
( ~ ca_Vx7(X2)
| ~ rp(X1,X2)
| ca_Vx6(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_43,plain,
( ~ ca_Vx4(X1)
| rp(X1,esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44,plain,
( ~ cc(esk11_1(X1))
| ~ ca_Vx3(X1)
| ca_Vx7(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_45,plain,
( ~ ca_Vx3(X1)
| ~ ca_Vx5(X1)
| cc(esk11_1(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_46,plain,
( ~ rp(X1,X2)
| ca_Vx4(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_47,plain,
( ~ ca_Ax2(X1)
| rp(X1,esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_48,plain,
! [X48,X49,X50] :
( ( ca_Vx6(X50)
| ~ caxcomp(esk14_1(X50)) )
& ( ca_Vx6(X50)
| rinvS(X50,esk14_1(X50)) )
& ( caxcomp(X49)
| ~ rinvS(X48,X49)
| ~ ca_Vx6(X48) ) ),
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_11])])])])])])]) ).
cnf(c_0_49,plain,
( ~ rs(X1,X2)
| rinvS(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_50,plain,
( ~ cUnsatisfiable(X1)
| rs(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_51,plain,
( ~ ca(X1)
| ~ caxcomp(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_52,plain,
( ~ cUnsatisfiable(X1)
| ca(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_53,plain,
( ~ ca_Vx7(esk12_1(X1))
| ~ ca_Vx4(X1)
| ca_Vx6(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_54,plain,
( ~ ca_Vx3(X1)
| ~ ca_Vx5(X1)
| ca_Vx7(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_55,plain,
( ~ ca_Ax2(X1)
| ~ rp(X1,X2)
| ca_Vx3(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_56,plain,
( ~ ca_Ax2(X1)
| ca_Vx4(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,plain,
( ~ ca_Ax2(X1)
| ~ rp(X1,X2)
| ca_Vx5(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_58,plain,
( ~ rinvS(X1,X2)
| ~ ca_Vx6(X1)
| caxcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
( ~ cUnsatisfiable(X1)
| rinvS(esk1_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_60,plain,
( ~ cUnsatisfiable(X1)
| ~ caxcomp(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,plain,
( ~ ca_Vx3(esk12_1(X1))
| ~ ca_Vx5(esk12_1(X1))
| ~ ca_Vx4(X1)
| ca_Vx6(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
( ~ ca_Ax2(X1)
| ca_Vx3(esk12_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_43]),c_0_56]) ).
cnf(c_0_63,plain,
( ~ ca_Ax2(X1)
| ca_Vx5(esk12_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_43]),c_0_56]) ).
cnf(c_0_64,plain,
( ~ cUnsatisfiable(X1)
| ~ ca_Vx6(esk1_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_65,plain,
( ~ ca_Ax2(X1)
| ca_Vx6(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_56]) ).
cnf(c_0_66,plain,
( ~ cUnsatisfiable(X1)
| ca_Ax2(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_67,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(split_conjunct,[status(thm)],[axiom_17]) ).
cnf(c_0_68,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_69,plain,
$false,
inference(sr,[status(thm)],[c_0_67,c_0_68]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS116+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 22:59:44 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.45 % 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 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1594541 completed with status 0
% 0.12/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 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 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45 % No SInE strategy applied
% 0.12/0.45 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.12/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.45 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.12/0.45 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.12/0.45 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.12/0.45 % SubtermCWHack with pid 1594556 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 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45 % No SInE strategy applied
% 0.12/0.45 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.12/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45 % Starting SubtermCWHack with 136s (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 Unsatisfiable
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.12/0.45 % Parsed axioms : 18
% 0.12/0.45 % Removed by relevancy pruning/SinE : 0
% 0.12/0.45 % Initial clauses : 61
% 0.12/0.45 % Removed in clause preprocessing : 5
% 0.12/0.45 % Initial clauses in saturation : 56
% 0.12/0.45 % Processed clauses : 93
% 0.12/0.45 % ...of these trivial : 0
% 0.12/0.45 % ...subsumed : 8
% 0.12/0.45 % ...remaining for further processing : 85
% 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 : 11
% 0.12/0.45 % Backward-rewritten : 0
% 0.12/0.45 % Generated clauses : 83
% 0.12/0.45 % ...of the previous two non-redundant : 66
% 0.12/0.45 % ...aggressively subsumed : 0
% 0.12/0.45 % Contextual simplify-reflections : 10
% 0.12/0.45 % Paramodulations : 82
% 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 : 0
% 0.12/0.45 % ...of those cached : 0
% 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 : 73
% 0.12/0.45 % Positive orientable unit clauses : 0
% 0.12/0.45 % Positive unorientable unit clauses: 0
% 0.12/0.45 % Negative unit clauses : 2
% 0.12/0.45 % Non-unit-clauses : 71
% 0.12/0.45 % Current number of unprocessed clauses: 29
% 0.12/0.45 % ...number of literals in the above : 163
% 0.12/0.45 % Current number of archived formulas : 0
% 0.12/0.45 % Current number of archived clauses : 13
% 0.12/0.45 % Clause-clause subsumption calls (NU) : 4003
% 0.12/0.45 % Rec. Clause-clause subsumption calls : 2977
% 0.12/0.45 % Non-unit clause-clause subsumptions : 23
% 0.12/0.45 % Unit Clause-clause subsumption calls : 66
% 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 : 4795
% 0.12/0.45 % Search garbage collected termcells : 949
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.013 s
% 0.12/0.45 % System time : 0.003 s
% 0.12/0.45 % Total time : 0.016 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 : 0.038 s
% 0.12/0.45 % System time : 0.008 s
% 0.12/0.45 % Total time : 0.046 s
% 0.12/0.45 % Maximum resident set size: 4864 pages
% 0.12/0.45 % E exiting
%------------------------------------------------------------------------------