%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS067+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 01:52:58 PM UTC 2026
% Result : Unsatisfiable 2.50s 0.78s
% Output : Proof 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 106 ( 41 ~; 45 |; 17 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ( ca(X)
& cc(X) )
| ( ca(X)
& cb(X) )
| ( cb(X)
& cc(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f2_nnf,plain,
! [X] :
( ( ( ( ~ ca(X)
| ~ cc(X) )
& ( ~ ca(X)
| ~ cb(X) )
& ( ~ cb(X)
| ~ cc(X) ) )
| cUnsatisfiable(X) )
& ( ( ca(X)
& cc(X) )
| ( ca(X)
& cb(X) )
| ( cb(X)
& cc(X) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( ( ( ( ~ ca(X)
| ~ cc(X) )
& ( ~ ca(X)
| ~ cb(X) )
& ( ~ cb(X)
| ~ cc(X) ) )
| cUnsatisfiable(X) )
& ( ( ca(X)
& cc(X) )
| ( ca(X)
& cb(X) )
| ( cb(X)
& cc(X) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c9,plain,
( ca(X0)
| cb(X0)
| cb(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p26,plain,
( ca(X0)
| cb(X0)
| ~ cUnsatisfiable(X0) ),
inference(factoring,[status(thm)],[c9]) ).
fof(f5,axiom,
cUnsatisfiable(i2003_11_14_17_18_1956),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f5_nnf,plain,
cUnsatisfiable(i2003_11_14_17_18_1956),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c18,plain,
cUnsatisfiable(i2003_11_14_17_18_1956),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p27,plain,
( ca(i2003_11_14_17_18_1956)
| cb(i2003_11_14_17_18_1956) ),
inference(resolution,[status(thm)],[p26,c18]) ).
fof(f3,axiom,
! [X] :
( ca(X)
=> ~ ( cb(X)
| cc(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( ( ~ cb(X)
& ~ cc(X) )
| ~ ca(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ( ~ cb(X)
& ~ cc(X) )
| ~ ca(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c15,plain,
( ~ cc(X0)
| ~ ca(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p28,plain,
( ~ cc(i2003_11_14_17_18_1956)
| cb(i2003_11_14_17_18_1956) ),
inference(resolution,[status(thm)],[p27,c15]) ).
cnf(c6,plain,
( cc(X0)
| ca(X0)
| cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p21,plain,
( ca(X0)
| cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(factoring,[status(thm)],[c6]) ).
cnf(p22,plain,
( ca(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956) ),
inference(resolution,[status(thm)],[p21,c18]) ).
cnf(c16,plain,
( ~ cb(X0)
| ~ ca(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p23,plain,
( ~ cb(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956) ),
inference(resolution,[status(thm)],[p22,c16]) ).
cnf(c4,plain,
( cc(X0)
| cb(X0)
| cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p19,plain,
( cb(X0)
| cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(factoring,[status(thm)],[c4]) ).
cnf(p20,plain,
( cb(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956) ),
inference(resolution,[status(thm)],[p19,c18]) ).
cnf(p24,plain,
( cc(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956) ),
inference(resolution,[status(thm)],[p23,p20]) ).
cnf(p25,plain,
cc(i2003_11_14_17_18_1956),
inference(factoring,[status(thm)],[p24]) ).
cnf(p29,plain,
cb(i2003_11_14_17_18_1956),
inference(resolution,[status(thm)],[p28,p25]) ).
fof(f4,axiom,
! [X] :
( cb(X)
=> ~ cc(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f4_nnf,plain,
! [X] :
( ~ cc(X)
| ~ cb(X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( ~ cc(X)
| ~ cb(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c17,plain,
( ~ cc(X0)
| ~ cb(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p30,plain,
~ cc(i2003_11_14_17_18_1956),
inference(resolution,[status(thm)],[p29,c17]) ).
cnf(p31,plain,
$false,
inference(resolution,[status(thm)],[p30,p25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS067+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 19:16:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.50/0.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.50/0.78 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------