%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS093+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 : n016.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 2.72s 1.11s
% Output : Proof 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 22 ~; 17 |; 5 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X] :
( ce3(X)
=> cc(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f6_nnf,plain,
! [X] :
( cc(X)
| ~ ce3(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( cc(X)
| ~ ce3(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c10,plain,
( cc(X0)
| ~ ce3(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ce3(X)
& cf(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ~ ce3(X)
| ~ cf(X)
| cUnsatisfiable(X) )
& ( ( ce3(X)
& cf(X) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( ( ~ ce3(X)
| ~ cf(X)
| cUnsatisfiable(X) )
& ( ( ce3(X)
& cf(X) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c5,plain,
( ce3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f8,axiom,
cUnsatisfiable(i2003_11_14_17_20_07201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f8_nnf,plain,
cUnsatisfiable(i2003_11_14_17_20_07201),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c12,plain,
cUnsatisfiable(i2003_11_14_17_20_07201),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(p14,plain,
ce3(i2003_11_14_17_20_07201),
inference(resolution,[status(thm)],[c5,c12]) ).
cnf(p15,plain,
cc(i2003_11_14_17_20_07201),
inference(resolution,[status(thm)],[c10,p14]) ).
fof(f3,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c7,plain,
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p17,plain,
~ cd(i2003_11_14_17_20_07201),
inference(resolution,[status(thm)],[p15,c7]) ).
fof(f7,axiom,
! [X] :
( cf(X)
=> cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f7_nnf,plain,
! [X] :
( cd(X)
| ~ cf(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X] :
( cd(X)
| ~ cf(X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c11,plain,
( cd(X0)
| ~ cf(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(c4,plain,
( cf(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p13,plain,
cf(i2003_11_14_17_20_07201),
inference(resolution,[status(thm)],[c4,c12]) ).
cnf(p16,plain,
cd(i2003_11_14_17_20_07201),
inference(resolution,[status(thm)],[c11,p13]) ).
cnf(p18,plain,
$false,
inference(resolution,[status(thm)],[p17,p16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS093+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n016.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 19:26:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.72/1.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/1.11 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------