%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS071+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n007.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 : Fri Sep 25 01:52:59 PM UTC 2026
% Result : Unsatisfiable 5.11s 1.19s
% Output : Proof 5.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 160 ( 33 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 190 ( 71 ~; 73 |; 42 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 50 ( 0 sgn 22 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y0,Y1,Y2] :
( ( rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
=> ( Y1 = Y2
| Y0 = Y2
| Y0 = Y1 ) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) )
& ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f16_nnf,plain,
! [X] :
( ( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ( ( ! [Y0,Y1,Y2] :
( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) )
& ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X,Y0,Y1,Y2,Y] :
( ( ( sk4(X) != sk5(X)
& sk3(X) != sk5(X)
& sk3(X) != sk4(X)
& rr(X,sk5(X))
& rr(X,sk4(X))
& rr(X,sk3(X)) )
| ~ cp3(Y)
| ~ rr(X,Y)
| ~ cp2(Y)
| ~ rr(X,Y)
| ~ cp1(Y)
| ~ rr(X,Y)
| cUnsatisfiable(X) )
& ( ( ( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& cp3(sk2(X))
& rr(X,sk2(X))
& cp2(sk1(X))
& rr(X,sk1(X))
& cp1(sk0(X))
& rr(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4,sk5])],[f16_nnf]) ).
cnf(c24,plain,
( X3 = X4
| X2 = X4
| X2 = X3
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_18_39380),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f22_nnf,plain,
cUnsatisfiable(i2003_11_14_17_18_39380),
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c43,plain,
cUnsatisfiable(i2003_11_14_17_18_39380),
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(p63,plain,
( X1 = X2
| X0 = X2
| X0 = X1
| ~ rr(i2003_11_14_17_18_39380,X2)
| ~ rr(i2003_11_14_17_18_39380,X1)
| ~ rr(i2003_11_14_17_18_39380,X0) ),
inference(resolution,[status(thm)],[c24,c43]) ).
cnf(c18,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p56,plain,
rr(i2003_11_14_17_18_39380,sk0(i2003_11_14_17_18_39380)),
inference(resolution,[status(thm)],[c18,c43]) ).
cnf(p65,plain,
( X0 = X1
| sk0(i2003_11_14_17_18_39380) = X1
| sk0(i2003_11_14_17_18_39380) = X0
| ~ rr(i2003_11_14_17_18_39380,X1)
| ~ rr(i2003_11_14_17_18_39380,X0) ),
inference(resolution,[status(thm)],[p63,p56]) ).
cnf(c20,plain,
( rr(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p57,plain,
rr(i2003_11_14_17_18_39380,sk1(i2003_11_14_17_18_39380)),
inference(resolution,[status(thm)],[c20,c43]) ).
cnf(p69,plain,
( sk1(i2003_11_14_17_18_39380) = X0
| sk0(i2003_11_14_17_18_39380) = X0
| sk0(i2003_11_14_17_18_39380) = sk1(i2003_11_14_17_18_39380)
| ~ rr(i2003_11_14_17_18_39380,X0) ),
inference(resolution,[status(thm)],[p65,p57]) ).
cnf(c22,plain,
( rr(X0,sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p58,plain,
rr(i2003_11_14_17_18_39380,sk2(i2003_11_14_17_18_39380)),
inference(resolution,[status(thm)],[c22,c43]) ).
cnf(p72,plain,
( sk1(i2003_11_14_17_18_39380) = sk2(i2003_11_14_17_18_39380)
| sk0(i2003_11_14_17_18_39380) = sk2(i2003_11_14_17_18_39380)
| sk0(i2003_11_14_17_18_39380) = sk1(i2003_11_14_17_18_39380) ),
inference(resolution,[status(thm)],[p69,p58]) ).
cnf(c23,plain,
( cp3(sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p53,plain,
cp3(sk2(i2003_11_14_17_18_39380)),
inference(resolution,[status(thm)],[c23,c43]) ).
cnf(p77,plain,
( cp3(sk1(i2003_11_14_17_18_39380))
| sk0(i2003_11_14_17_18_39380) = sk2(i2003_11_14_17_18_39380)
| sk0(i2003_11_14_17_18_39380) = sk1(i2003_11_14_17_18_39380) ),
inference(superposition,[status(thm)],[p72,p53]) ).
cnf(p88,plain,
( cp3(sk0(i2003_11_14_17_18_39380))
| cp3(sk1(i2003_11_14_17_18_39380))
| sk0(i2003_11_14_17_18_39380) = sk1(i2003_11_14_17_18_39380) ),
inference(superposition,[status(thm)],[p77,p53]) ).
cnf(c21,plain,
( cp2(sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p49,plain,
cp2(sk1(i2003_11_14_17_18_39380)),
inference(resolution,[status(thm)],[c21,c43]) ).
cnf(p97,plain,
( cp2(sk0(i2003_11_14_17_18_39380))
| cp3(sk0(i2003_11_14_17_18_39380))
| cp3(sk1(i2003_11_14_17_18_39380)) ),
inference(superposition,[status(thm)],[p88,p49]) ).
fof(f18,axiom,
! [X] :
( cp2(X)
=> ~ ( cp5(X)
| cp3(X)
| cp4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f18_nnf,plain,
! [X] :
( ( ~ cp5(X)
& ~ cp3(X)
& ~ cp4(X) )
| ~ cp2(X) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X] :
( ( ~ cp5(X)
& ~ cp3(X)
& ~ cp4(X) )
| ~ cp2(X) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c36,plain,
( ~ cp3(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p51,plain,
~ cp3(sk1(i2003_11_14_17_18_39380)),
inference(resolution,[status(thm)],[p49,c36]) ).
cnf(p104,plain,
( cp2(sk0(i2003_11_14_17_18_39380))
| cp3(sk0(i2003_11_14_17_18_39380)) ),
inference(resolution,[status(thm)],[p97,p51]) ).
cnf(c19,plain,
( cp1(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p44,plain,
cp1(sk0(i2003_11_14_17_18_39380)),
inference(resolution,[status(thm)],[c19,c43]) ).
fof(f17,axiom,
! [X] :
( cp1(X)
=> ~ ( cp5(X)
| cp3(X)
| cp2(X)
| cp4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f17_nnf,plain,
! [X] :
( ( ~ cp5(X)
& ~ cp3(X)
& ~ cp2(X)
& ~ cp4(X) )
| ~ cp1(X) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X] :
( ( ~ cp5(X)
& ~ cp3(X)
& ~ cp2(X)
& ~ cp4(X) )
| ~ cp1(X) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c33,plain,
( ~ cp3(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p47,plain,
~ cp3(sk0(i2003_11_14_17_18_39380)),
inference(resolution,[status(thm)],[p44,c33]) ).
cnf(p105,plain,
cp2(sk0(i2003_11_14_17_18_39380)),
inference(resolution,[status(thm)],[p104,p47]) ).
cnf(c32,plain,
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p46,plain,
~ cp2(sk0(i2003_11_14_17_18_39380)),
inference(resolution,[status(thm)],[p44,c32]) ).
cnf(p106,plain,
$false,
inference(resolution,[status(thm)],[p105,p46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS071+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 19:16:52 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.11/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.11/1.19 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------