%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS110+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 : n017.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 01:53:04 PM UTC 2026
% Result : Unsatisfiable 3.23s 0.89s
% Output : Proof 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 98 ( 37 ~; 34 |; 22 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 41 ( 2 sgn 22 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rs(X,Y)
=> cpxcomp(Y) )
& ? [Y] :
( ca_Ax2(Y)
& rs(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f24_nnf,plain,
! [X] :
( ( ? [Y] :
( ~ cpxcomp(Y)
& rs(X,Y) )
| ! [Y] :
( ~ ca_Ax2(Y)
| ~ rs(X,Y) )
| cUnsatisfiable(X) )
& ( ( ! [Y] :
( cpxcomp(Y)
| ~ rs(X,Y) )
& ? [Y] :
( ca_Ax2(Y)
& rs(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X,Y] :
( ( ( ~ cpxcomp(sk1(X))
& rs(X,sk1(X)) )
| ~ ca_Ax2(Y)
| ~ rs(X,Y)
| cUnsatisfiable(X) )
& ( ( ( cpxcomp(Y)
| ~ rs(X,Y) )
& ca_Ax2(sk0(X))
& rs(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f24_nnf]) ).
cnf(c28,plain,
( cpxcomp(X1)
| ~ rs(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
fof(f34,axiom,
cUnsatisfiable(i2003_11_14_17_21_12565),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f34_nnf,plain,
cUnsatisfiable(i2003_11_14_17_21_12565),
inference(nnf_transformation,[status(thm)],[f34]) ).
cnf(c48,plain,
cUnsatisfiable(i2003_11_14_17_21_12565),
inference(cnf_transformation,[status(esa)],[f34_nnf]) ).
cnf(p70,plain,
( cpxcomp(X0)
| ~ rs(i2003_11_14_17_21_12565,X0) ),
inference(resolution,[status(thm)],[c28,c48]) ).
cnf(c26,plain,
( rs(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p56,plain,
rs(i2003_11_14_17_21_12565,sk0(i2003_11_14_17_21_12565)),
inference(resolution,[status(thm)],[c26,c48]) ).
cnf(p71,plain,
cpxcomp(sk0(i2003_11_14_17_21_12565)),
inference(resolution,[status(thm)],[p70,p56]) ).
fof(f26,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f26_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cpxcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X,Y0] :
( ( ~ ra_Px1(X,Y0)
| cpxcomp(X) )
& ( ra_Px1(X,sk3(X))
| ~ cpxcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f26_nnf]) ).
cnf(c33,plain,
( ra_Px1(X0,sk3(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p72,plain,
ra_Px1(sk0(i2003_11_14_17_21_12565),sk3(sk0(i2003_11_14_17_21_12565))),
inference(resolution,[status(thm)],[p71,c33]) ).
fof(f25,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f25_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cp(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X,Y] :
( ( ra_Px1(X,sk2(X))
| cp(X) )
& ( ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f25_nnf]) ).
cnf(c31,plain,
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(c27,plain,
( ca_Ax2(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p51,plain,
ca_Ax2(sk0(i2003_11_14_17_21_12565)),
inference(resolution,[status(thm)],[c27,c48]) ).
fof(f27,axiom,
! [X] :
( ca_Ax2(X)
<=> ( ? [Y] :
( cp(Y)
& rinvS(X,Y) )
& cp(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f27_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cp(Y)
| ~ rinvS(X,Y) )
| ~ cp(X)
| ca_Ax2(X) )
& ( ( ? [Y] :
( cp(Y)
& rinvS(X,Y) )
& cp(X) )
| ~ ca_Ax2(X) ) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X,Y] :
( ( ~ cp(Y)
| ~ rinvS(X,Y)
| ~ cp(X)
| ca_Ax2(X) )
& ( ( cp(sk4(X))
& rinvS(X,sk4(X))
& cp(X) )
| ~ ca_Ax2(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f27_nnf]) ).
cnf(c35,plain,
( cp(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p52,plain,
cp(sk0(i2003_11_14_17_21_12565)),
inference(resolution,[status(thm)],[p51,c35]) ).
cnf(p53,plain,
~ ra_Px1(sk0(i2003_11_14_17_21_12565),X0),
inference(resolution,[status(thm)],[c31,p52]) ).
cnf(p73,plain,
$false,
inference(resolution,[status(thm)],[p72,p53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS110+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 19:20:17 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.23/0.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.23/0.89 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------