%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN492+1 : TPTP v9.2.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n024.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 : Tue May 5 05:38:46 PM UTC 2026
% Result : CounterSatisfiable 1.11s 1.61s
% Output : Saturation 1.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a27)
& c3_1(a27)
& ~ c2_1(a27) ) )
& ( ~ hskp1
| ( ndr1_0
& ~ c2_1(a28)
& c1_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c3_1(a29)
& c1_1(a29)
& ~ c2_1(a29) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ c1_1(a31)
& c2_1(a31)
& ~ c3_1(a31) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a33)
& ~ c2_1(a33)
& ~ c0_1(a33) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a34)
& ~ c3_1(a34)
& ~ c2_1(a34) ) )
& ( ~ hskp6
| ( ndr1_0
& ~ c3_1(a35)
& ~ c0_1(a35)
& ~ c2_1(a35) ) )
& ( ~ hskp7
| ( ndr1_0
& ~ c3_1(a36)
& ~ c2_1(a36)
& ~ c0_1(a36) ) )
& ( ~ hskp8
| ( ndr1_0
& c2_1(a37)
& c3_1(a37)
& ~ c1_1(a37) ) )
& ( ~ hskp9
| ( ndr1_0
& c1_1(a25)
& ~ c3_1(a25)
& c0_1(a25) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c3_1(a26)
& c1_1(a26)
& c0_1(a26) ) )
& ( ~ hskp11
| ( ndr1_0
& c3_1(a30)
& c0_1(a30)
& c2_1(a30) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ c0_1(a32)
& c1_1(a32)
& c3_1(a32) ) )
& ( ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) )
| hskp9
| hskp10 )
& ( hskp0
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| c1_1(X2)
| c2_1(X2) ) )
| hskp1 )
& ( ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| c2_1(X3)
| c0_1(X3) ) )
| hskp2
| ! [X4] :
( ndr1_0
=> ( ~ c1_1(X4)
| c0_1(X4)
| ~ c2_1(X4) ) ) )
& ( hskp11
| hskp3
| hskp12 )
& ( ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c0_1(X5)
| ~ c2_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| c0_1(X6)
| ~ c1_1(X6) ) )
| hskp4 )
& ( ! [X7] :
( ndr1_0
=> ( ~ c0_1(X7)
| c1_1(X7)
| ~ c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| c0_1(X8)
| c1_1(X8) ) )
| hskp5 )
& ( ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c2_1(X9)
| ~ c0_1(X9) ) )
| hskp6
| ! [X10] :
( ndr1_0
=> ( ~ c3_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( hskp7
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| c2_1(X11)
| c0_1(X11) ) )
| hskp8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a27)
& c3_1(a27)
& ~ c2_1(a27) ) )
& ( ~ hskp1
| ( ndr1_0
& ~ c2_1(a28)
& c1_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c3_1(a29)
& c1_1(a29)
& ~ c2_1(a29) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ c1_1(a31)
& c2_1(a31)
& ~ c3_1(a31) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a33)
& ~ c2_1(a33)
& ~ c0_1(a33) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a34)
& ~ c3_1(a34)
& ~ c2_1(a34) ) )
& ( ~ hskp6
| ( ndr1_0
& ~ c3_1(a35)
& ~ c0_1(a35)
& ~ c2_1(a35) ) )
& ( ~ hskp7
| ( ndr1_0
& ~ c3_1(a36)
& ~ c2_1(a36)
& ~ c0_1(a36) ) )
& ( ~ hskp8
| ( ndr1_0
& c2_1(a37)
& c3_1(a37)
& ~ c1_1(a37) ) )
& ( ~ hskp9
| ( ndr1_0
& c1_1(a25)
& ~ c3_1(a25)
& c0_1(a25) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c3_1(a26)
& c1_1(a26)
& c0_1(a26) ) )
& ( ~ hskp11
| ( ndr1_0
& c3_1(a30)
& c0_1(a30)
& c2_1(a30) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ c0_1(a32)
& c1_1(a32)
& c3_1(a32) ) )
& ( ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) )
| hskp9
| hskp10 )
& ( hskp0
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| c1_1(X2)
| c2_1(X2) ) )
| hskp1 )
& ( ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| c2_1(X3)
| c0_1(X3) ) )
| hskp2
| ! [X4] :
( ndr1_0
=> ( ~ c1_1(X4)
| c0_1(X4)
| ~ c2_1(X4) ) ) )
& ( hskp11
| hskp3
| hskp12 )
& ( ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c0_1(X5)
| ~ c2_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| c0_1(X6)
| ~ c1_1(X6) ) )
| hskp4 )
& ( ! [X7] :
( ndr1_0
=> ( ~ c0_1(X7)
| c1_1(X7)
| ~ c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| c0_1(X8)
| c1_1(X8) ) )
| hskp5 )
& ( ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c2_1(X9)
| ~ c0_1(X9) ) )
| hskp6
| ! [X10] :
( ndr1_0
=> ( ~ c3_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( hskp7
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| c2_1(X11)
| c0_1(X11) ) )
| hskp8 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_2,negated_conjecture,
! [X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( ndr1_0
| ~ hskp0 )
& ( ~ c0_1(a27)
| ~ hskp0 )
& ( c3_1(a27)
| ~ hskp0 )
& ( ~ c2_1(a27)
| ~ hskp0 )
& ( ndr1_0
| ~ hskp1 )
& ( ~ c2_1(a28)
| ~ hskp1 )
& ( c1_1(a28)
| ~ hskp1 )
& ( ~ c0_1(a28)
| ~ hskp1 )
& ( ndr1_0
| ~ hskp2 )
& ( ~ c3_1(a29)
| ~ hskp2 )
& ( c1_1(a29)
| ~ hskp2 )
& ( ~ c2_1(a29)
| ~ hskp2 )
& ( ndr1_0
| ~ hskp3 )
& ( ~ c1_1(a31)
| ~ hskp3 )
& ( c2_1(a31)
| ~ hskp3 )
& ( ~ c3_1(a31)
| ~ hskp3 )
& ( ndr1_0
| ~ hskp4 )
& ( c1_1(a33)
| ~ hskp4 )
& ( ~ c2_1(a33)
| ~ hskp4 )
& ( ~ c0_1(a33)
| ~ hskp4 )
& ( ndr1_0
| ~ hskp5 )
& ( c0_1(a34)
| ~ hskp5 )
& ( ~ c3_1(a34)
| ~ hskp5 )
& ( ~ c2_1(a34)
| ~ hskp5 )
& ( ndr1_0
| ~ hskp6 )
& ( ~ c3_1(a35)
| ~ hskp6 )
& ( ~ c0_1(a35)
| ~ hskp6 )
& ( ~ c2_1(a35)
| ~ hskp6 )
& ( ndr1_0
| ~ hskp7 )
& ( ~ c3_1(a36)
| ~ hskp7 )
& ( ~ c2_1(a36)
| ~ hskp7 )
& ( ~ c0_1(a36)
| ~ hskp7 )
& ( ndr1_0
| ~ hskp8 )
& ( c2_1(a37)
| ~ hskp8 )
& ( c3_1(a37)
| ~ hskp8 )
& ( ~ c1_1(a37)
| ~ hskp8 )
& ( ndr1_0
| ~ hskp9 )
& ( c1_1(a25)
| ~ hskp9 )
& ( ~ c3_1(a25)
| ~ hskp9 )
& ( c0_1(a25)
| ~ hskp9 )
& ( ndr1_0
| ~ hskp10 )
& ( ~ c3_1(a26)
| ~ hskp10 )
& ( c1_1(a26)
| ~ hskp10 )
& ( c0_1(a26)
| ~ hskp10 )
& ( ndr1_0
| ~ hskp11 )
& ( c3_1(a30)
| ~ hskp11 )
& ( c0_1(a30)
| ~ hskp11 )
& ( c2_1(a30)
| ~ hskp11 )
& ( ndr1_0
| ~ hskp12 )
& ( ~ c0_1(a32)
| ~ hskp12 )
& ( c1_1(a32)
| ~ hskp12 )
& ( c3_1(a32)
| ~ hskp12 )
& ( ~ ndr1_0
| c3_1(X23)
| ~ c0_1(X23)
| ~ c1_1(X23)
| hskp9
| hskp10 )
& ( hskp0
| ~ ndr1_0
| ~ c3_1(X24)
| c1_1(X24)
| c2_1(X24)
| hskp1 )
& ( ~ ndr1_0
| c3_1(X25)
| c2_1(X25)
| c0_1(X25)
| hskp2
| ~ ndr1_0
| ~ c1_1(X26)
| c0_1(X26)
| ~ c2_1(X26) )
& ( hskp11
| hskp3
| hskp12 )
& ( ~ ndr1_0
| c1_1(X27)
| c0_1(X27)
| ~ c2_1(X27)
| ~ ndr1_0
| ~ c3_1(X28)
| c0_1(X28)
| ~ c1_1(X28)
| hskp4 )
& ( ~ ndr1_0
| ~ c0_1(X29)
| c1_1(X29)
| ~ c2_1(X29)
| ~ ndr1_0
| c3_1(X30)
| c0_1(X30)
| c1_1(X30)
| hskp5 )
& ( ~ ndr1_0
| ~ c3_1(X31)
| ~ c2_1(X31)
| ~ c0_1(X31)
| hskp6
| ~ ndr1_0
| ~ c3_1(X32)
| c1_1(X32)
| c0_1(X32) )
& ( hskp7
| ~ ndr1_0
| ~ c1_1(X33)
| c2_1(X33)
| c0_1(X33)
| hskp8 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
( c1_1(X1)
| c3_1(X2)
| c0_1(X2)
| c1_1(X2)
| hskp5
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( hskp11
| hskp3
| hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_6,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( ndr1_0
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( hskp5
| c0_1(X2)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]),
[final] ).
cnf(c_0_10,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp2
| c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( c1_1(X1)
| c0_1(X1)
| c0_1(X2)
| hskp4
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( hskp6
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( hskp5
| c1_1(X1)
| c1_1(X2)
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[final] ).
cnf(c_0_14,negated_conjecture,
( c2_1(a31)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_15,negated_conjecture,
( ~ c1_1(a31)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_16,negated_conjecture,
( hskp2
| c0_1(X2)
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( hskp4
| c0_1(X2)
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( hskp6
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( hskp7
| c2_1(X1)
| c0_1(X1)
| hskp8
| ~ ndr1_0
| ~ c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( c3_1(X1)
| hskp9
| hskp10
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,negated_conjecture,
( hskp5
| c1_1(X1)
| c3_1(X1)
| c0_1(X1)
| ~ hskp3
| ~ c0_1(a31) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[final] ).
cnf(c_0_22,negated_conjecture,
( c2_1(a37)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_23,negated_conjecture,
( ~ c1_1(a37)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_24,negated_conjecture,
( c2_1(a30)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_25,negated_conjecture,
( c0_1(a30)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_26,negated_conjecture,
( hskp2
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_9])]),
[final] ).
cnf(c_0_27,negated_conjecture,
( c1_1(a32)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_28,negated_conjecture,
( ~ c0_1(a32)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_29,negated_conjecture,
( hskp4
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_9])]),
[final] ).
cnf(c_0_30,negated_conjecture,
( c1_1(a28)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_31,negated_conjecture,
( ~ c0_1(a28)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_32,negated_conjecture,
( c3_1(a32)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_33,negated_conjecture,
( hskp6
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_9])]),
[final] ).
cnf(c_0_34,negated_conjecture,
( c3_1(a37)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_35,negated_conjecture,
( c3_1(a30)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_36,negated_conjecture,
( hskp8
| hskp7
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_9])]),
[final] ).
cnf(c_0_37,negated_conjecture,
( ~ c2_1(a28)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_38,negated_conjecture,
( c1_1(a29)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_39,negated_conjecture,
( ~ c2_1(a29)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_40,negated_conjecture,
( c1_1(a33)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_41,negated_conjecture,
( ~ c0_1(a33)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_42,negated_conjecture,
( ~ c2_1(a33)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_43,negated_conjecture,
( hskp10
| hskp9
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_9])]),
[final] ).
cnf(c_0_44,negated_conjecture,
( ~ c3_1(a29)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_45,negated_conjecture,
( hskp0
| c1_1(X1)
| c2_1(X1)
| hskp1
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
( hskp12
| hskp11
| hskp5
| c1_1(X1)
| c3_1(X1)
| c0_1(X1)
| ~ c0_1(a31) ),
inference(spm,[status(thm)],[c_0_21,c_0_5]),
[final] ).
cnf(c_0_47,negated_conjecture,
( hskp5
| c1_1(X1)
| c3_1(X1)
| c0_1(X1)
| ~ hskp8
| ~ c0_1(a37) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_22]),c_0_23]),
[final] ).
cnf(c_0_48,negated_conjecture,
( hskp5
| c1_1(a30)
| c1_1(X1)
| c3_1(X1)
| c0_1(X1)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_24]),c_0_25]),
[final] ).
cnf(c_0_49,negated_conjecture,
( hskp2
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| ~ hskp12
| ~ c2_1(a32) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[final] ).
cnf(c_0_50,negated_conjecture,
( hskp4
| c1_1(X1)
| c0_1(X1)
| ~ hskp1
| ~ c2_1(X1)
| ~ c3_1(a28) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
[final] ).
cnf(c_0_51,negated_conjecture,
( hskp4
| c1_1(X1)
| c0_1(X1)
| ~ hskp12
| ~ c2_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_32]),c_0_28]),
[final] ).
cnf(c_0_52,negated_conjecture,
( hskp6
| c1_1(X1)
| c0_1(X1)
| ~ hskp8
| ~ c3_1(X1)
| ~ c0_1(a37) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_22]),c_0_34]),
[final] ).
cnf(c_0_53,negated_conjecture,
( hskp6
| c1_1(X1)
| c0_1(X1)
| ~ hskp11
| ~ c3_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_24]),c_0_25]),c_0_35]),
[final] ).
cnf(c_0_54,negated_conjecture,
( hskp8
| hskp7
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_30]),c_0_31]),c_0_37]),
[final] ).
cnf(c_0_55,negated_conjecture,
( hskp8
| hskp7
| c0_1(a29)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_38]),c_0_39]),
[final] ).
cnf(c_0_56,negated_conjecture,
( hskp8
| hskp7
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_40]),c_0_41]),c_0_42]),
[final] ).
cnf(c_0_57,negated_conjecture,
( hskp8
| hskp7
| c2_1(a32)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_27]),c_0_28]),
[final] ).
cnf(c_0_58,negated_conjecture,
( hskp10
| hskp9
| ~ hskp2
| ~ c0_1(a29) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_44]),
[final] ).
cnf(c_0_59,negated_conjecture,
( c1_1(X1)
| hskp1
| c2_1(X1)
| hskp0
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_9])]),
[final] ).
cnf(c_0_60,negated_conjecture,
( c1_1(a26)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_61,negated_conjecture,
( c1_1(a25)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_62,negated_conjecture,
( ~ c3_1(a26)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_63,negated_conjecture,
( ~ c3_1(a25)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_64,negated_conjecture,
( ~ c2_1(a36)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_65,negated_conjecture,
( ~ c3_1(a36)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_66,negated_conjecture,
( c3_1(a27)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_67,negated_conjecture,
( ~ c0_1(a36)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_68,negated_conjecture,
( ~ c2_1(a35)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_69,negated_conjecture,
( ~ c3_1(a35)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_70,negated_conjecture,
( ~ c0_1(a35)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_71,negated_conjecture,
( c0_1(a26)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_72,negated_conjecture,
( ~ c2_1(a34)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_73,negated_conjecture,
( ~ c3_1(a34)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_74,negated_conjecture,
( c0_1(a25)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_75,negated_conjecture,
( ~ c3_1(a31)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_76,negated_conjecture,
( c0_1(a34)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_77,negated_conjecture,
( ~ c2_1(a27)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_78,negated_conjecture,
( ~ c0_1(a27)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN492+1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 03:35:57 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 1.11/1.61 % Version : CSE_E---1.7
% 1.11/1.61 % Problem : theBenchmark.p
% 1.11/1.61 % SZS status CounterSatisfiable for theBenchmark.p
% 1.11/1.61 % SZS output start Saturation
% See solution above
% 1.11/1.61 % Total time : 1.360s
%------------------------------------------------------------------------------