%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS097+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 01:53:02 PM UTC 2026
% Result : Unsatisfiable 3.55s 1.10s
% Output : Proof 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 86 ( 10 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 97 ( 40 ~; 32 |; 24 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 36 ( 0 sgn 14 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cc(Y)
& rr(X,Y) )
& ~ ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y0] : rr(X,Y0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f27_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cc(Y)
| ~ rr(X,Y) )
| ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cd(Y)
| ~ rr(X,Y) )
| ! [Y0] : ~ rr(X,Y0)
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cc(Y)
& rr(X,Y) )
& ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y0] : rr(X,Y0) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X,Y0,Y1,Y] :
( ( ~ cc(Y)
| ~ rr(X,Y)
| ( sk3(X) != sk4(X)
& rr(X,sk4(X))
& rr(X,sk3(X)) )
| ~ cd(Y)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| cUnsatisfiable(X) )
& ( ( cc(sk2(X))
& rr(X,sk2(X))
& ( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& cd(sk1(X))
& rr(X,sk1(X))
& rr(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4])],[f27_nnf]) ).
cnf(c32,plain,
( X1 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
fof(f29,axiom,
cUnsatisfiable(i2003_11_14_17_20_21603),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f29_nnf,plain,
cUnsatisfiable(i2003_11_14_17_20_21603),
inference(nnf_transformation,[status(thm)],[f29]) ).
cnf(c41,plain,
cUnsatisfiable(i2003_11_14_17_20_21603),
inference(cnf_transformation,[status(esa)],[f29_nnf]) ).
cnf(p60,plain,
( X0 = X1
| ~ rr(i2003_11_14_17_20_21603,X1)
| ~ rr(i2003_11_14_17_20_21603,X0) ),
inference(resolution,[status(thm)],[c32,c41]) ).
cnf(c29,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p57,plain,
rr(i2003_11_14_17_20_21603,sk0(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[c29,c41]) ).
cnf(p61,plain,
( sk0(i2003_11_14_17_20_21603) = X0
| ~ rr(i2003_11_14_17_20_21603,X0) ),
inference(resolution,[status(thm)],[p60,p57]) ).
cnf(c33,plain,
( rr(X0,sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p59,plain,
rr(i2003_11_14_17_20_21603,sk2(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[c33,c41]) ).
cnf(p65,plain,
sk0(i2003_11_14_17_20_21603) = sk2(i2003_11_14_17_20_21603),
inference(resolution,[status(thm)],[p61,p59]) ).
cnf(c34,plain,
( cc(sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p55,plain,
cc(sk2(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[c34,c41]) ).
cnf(p89,plain,
cc(sk0(i2003_11_14_17_20_21603)),
inference(superposition,[status(thm)],[p65,p55]) ).
cnf(c30,plain,
( rr(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p58,plain,
rr(i2003_11_14_17_20_21603,sk1(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[c30,c41]) ).
cnf(p64,plain,
sk0(i2003_11_14_17_20_21603) = sk1(i2003_11_14_17_20_21603),
inference(resolution,[status(thm)],[p61,p58]) ).
cnf(c31,plain,
( cd(sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p51,plain,
cd(sk1(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[c31,c41]) ).
fof(f31,axiom,
! [X] :
~ ( cc(X)
& cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f31_nnf,plain,
! [X] :
( ~ cc(X)
| ~ cd(X) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [X] :
( ~ cc(X)
| ~ cd(X) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c43,plain,
( ~ cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p54,plain,
~ cc(sk1(i2003_11_14_17_20_21603)),
inference(resolution,[status(thm)],[p51,c43]) ).
cnf(p69,plain,
~ cc(sk0(i2003_11_14_17_20_21603)),
inference(superposition,[status(thm)],[p64,p54]) ).
cnf(p110,plain,
$false,
inference(resolution,[status(thm)],[p89,p69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS097+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 19:21:53 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.55/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.55/1.10 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------