%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS094+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 : n003.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 5.15s 1.11s
% Output : Proof 5.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 11 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X] :
( cc1(X)
=> cd1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f5_nnf,plain,
! [X] :
( cd1(X)
| ~ cc1(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( cd1(X)
| ~ cc1(X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c8,plain,
( cd1(X0)
| ~ cc1(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> cc1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ~ cc1(X)
| cUnsatisfiable(X) )
& ( cc1(X)
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( ( ~ cc1(X)
| cUnsatisfiable(X) )
& ( cc1(X)
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( cc1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f8,axiom,
cUnsatisfiable(i2003_11_14_17_20_11330),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f8_nnf,plain,
cUnsatisfiable(i2003_11_14_17_20_11330),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c11,plain,
cUnsatisfiable(i2003_11_14_17_20_11330),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(p12,plain,
cc1(i2003_11_14_17_20_11330),
inference(resolution,[status(thm)],[c4,c11]) ).
cnf(p14,plain,
cd1(i2003_11_14_17_20_11330),
inference(resolution,[status(thm)],[c8,p12]) ).
fof(f4,axiom,
! [X] :
( cc1(X)
=> ~ cd1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f4_nnf,plain,
! [X] :
( ~ cd1(X)
| ~ cc1(X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( ~ cd1(X)
| ~ cc1(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c7,plain,
( ~ cd1(X0)
| ~ cc1(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p13,plain,
~ cd1(i2003_11_14_17_20_11330),
inference(resolution,[status(thm)],[c7,p12]) ).
cnf(p15,plain,
$false,
inference(resolution,[status(thm)],[p14,p13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS094+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n003.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 19:23:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.15/1.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.15/1.11 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------