%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS101+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 : n012.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 01:53:03 PM UTC 2026
% Result : Unsatisfiable 2.84s 0.75s
% Output : Proof 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 112 ( 17 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 137 ( 54 ~; 50 |; 28 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 48 ( 0 sgn 20 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( ~ ! [Z0,Z1] :
( ( rs(Y,Z1)
& rs(Y,Z0) )
=> Z0 = Z1 )
& rr(X,Y) )
& ! [Y] :
( rr(X,Y)
=> ( cc(Y)
| ~ ? [Z0,Z1] :
( Z0 != Z1
& rs(Y,Z1)
& rs(Y,Z0) ) ) )
& ! [Y] :
( rr(X,Y)
=> cd(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f13_nnf,plain,
! [X] :
( ( ! [Y] :
( ! [Z0,Z1] :
( Z0 = Z1
| ~ rs(Y,Z1)
| ~ rs(Y,Z0) )
| ~ rr(X,Y) )
| ? [Y] :
( ~ cc(Y)
& ? [Z0,Z1] :
( Z0 != Z1
& rs(Y,Z1)
& rs(Y,Z0) )
& rr(X,Y) )
| ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( ? [Z0,Z1] :
( Z0 != Z1
& rs(Y,Z1)
& rs(Y,Z0) )
& rr(X,Y) )
& ! [Y] :
( cc(Y)
| ! [Z0,Z1] :
( Z0 = Z1
| ~ rs(Y,Z1)
| ~ rs(Y,Z0) )
| ~ rr(X,Y) )
& ! [Y] :
( cd(Y)
| ~ rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X,Y,Z0,Z1] :
( ( Z0 = Z1
| ~ rs(Y,Z1)
| ~ rs(Y,Z0)
| ~ rr(X,Y)
| ( ~ cc(sk4(X))
& sk5(X) != sk6(X)
& rs(sk4(X),sk6(X))
& rs(sk4(X),sk5(X))
& rr(X,sk4(X)) )
| ( ~ cd(sk3(X))
& rr(X,sk3(X)) )
| cUnsatisfiable(X) )
& ( ( sk1(X) != sk2(X)
& rs(sk0(X),sk2(X))
& rs(sk0(X),sk1(X))
& rr(X,sk0(X))
& ( cc(Y)
| Z0 = Z1
| ~ rs(Y,Z1)
| ~ rs(Y,Z0)
| ~ rr(X,Y) )
& ( cd(Y)
| ~ rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4,sk5,sk6])],[f13_nnf]) ).
cnf(c16,plain,
( cc(X1)
| X2 = X3
| ~ rs(X1,X3)
| ~ rs(X1,X2)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
fof(f15,axiom,
cUnsatisfiable(i2003_11_14_17_20_36582),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f15_nnf,plain,
cUnsatisfiable(i2003_11_14_17_20_36582),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c32,plain,
cUnsatisfiable(i2003_11_14_17_20_36582),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(p39,plain,
( cc(X0)
| X1 = X2
| ~ rs(X0,X2)
| ~ rs(X0,X1)
| ~ rr(i2003_11_14_17_20_36582,X0) ),
inference(resolution,[status(thm)],[c16,c32]) ).
cnf(c17,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p33,plain,
rr(i2003_11_14_17_20_36582,sk0(i2003_11_14_17_20_36582)),
inference(resolution,[status(thm)],[c17,c32]) ).
cnf(p40,plain,
( cc(sk0(i2003_11_14_17_20_36582))
| X0 = X1
| ~ rs(sk0(i2003_11_14_17_20_36582),X1)
| ~ rs(sk0(i2003_11_14_17_20_36582),X0) ),
inference(resolution,[status(thm)],[p39,p33]) ).
cnf(c18,plain,
( rs(sk0(X0),sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p34,plain,
rs(sk0(i2003_11_14_17_20_36582),sk1(i2003_11_14_17_20_36582)),
inference(resolution,[status(thm)],[c18,c32]) ).
cnf(p41,plain,
( cc(sk0(i2003_11_14_17_20_36582))
| sk1(i2003_11_14_17_20_36582) = X0
| ~ rs(sk0(i2003_11_14_17_20_36582),X0) ),
inference(resolution,[status(thm)],[p40,p34]) ).
cnf(c19,plain,
( rs(sk0(X0),sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p35,plain,
rs(sk0(i2003_11_14_17_20_36582),sk2(i2003_11_14_17_20_36582)),
inference(resolution,[status(thm)],[c19,c32]) ).
cnf(p43,plain,
( cc(sk0(i2003_11_14_17_20_36582))
| sk1(i2003_11_14_17_20_36582) = sk2(i2003_11_14_17_20_36582) ),
inference(resolution,[status(thm)],[p41,p35]) ).
cnf(c20,plain,
( sk1(X0) != sk2(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p36,plain,
sk1(i2003_11_14_17_20_36582) != sk2(i2003_11_14_17_20_36582),
inference(resolution,[status(thm)],[c20,c32]) ).
cnf(p47,plain,
cc(sk0(i2003_11_14_17_20_36582)),
inference(resolution,[status(thm)],[p43,p36]) ).
fof(f14,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f14_nnf,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c31,plain,
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p48,plain,
~ cd(sk0(i2003_11_14_17_20_36582)),
inference(resolution,[status(thm)],[p47,c31]) ).
cnf(c15,plain,
( cd(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p37,plain,
( cd(X0)
| ~ rr(i2003_11_14_17_20_36582,X0) ),
inference(resolution,[status(thm)],[c15,c32]) ).
cnf(p38,plain,
cd(sk0(i2003_11_14_17_20_36582)),
inference(resolution,[status(thm)],[p37,p33]) ).
cnf(p49,plain,
$false,
inference(resolution,[status(thm)],[p48,p38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS101+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Wed Sep 23 19:23:06 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.84/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.84/0.75 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------