%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS088+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 : n011.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 01:53:01 PM UTC 2026
% Result : Unsatisfiable 0.14s 15.65s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 66 ( 26 ~; 22 |; 15 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 16 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( cp1(Y)
& ! [Z] :
( rinvF(Y,Z)
=> ? [W] :
( ~ cp1(W)
& rf(Z,W) ) )
& rf(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f16_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cp1(Y)
| ? [Z] :
( ! [W] :
( cp1(W)
| ~ rf(Z,W) )
& rinvF(Y,Z) )
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ( ? [Y] :
( cp1(Y)
& ! [Z] :
( ? [W] :
( ~ cp1(W)
& rf(Z,W) )
| ~ rinvF(Y,Z) )
& rf(X,Y) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X,Z,Y,W] :
( ( ~ cp1(Y)
| ( ( cp1(W)
| ~ rf(sk2(X,Y),W) )
& rinvF(Y,sk2(X,Y)) )
| ~ rf(X,Y)
| cUnsatisfiable(X) )
& ( ( cp1(sk0(X))
& ( ( ~ cp1(sk1(X,Z))
& rf(Z,sk1(X,Z)) )
| ~ rinvF(sk0(X),Z) )
& rf(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f16_nnf]) ).
cnf(c20,plain,
( ~ cp1(sk1(X0,X2))
| ~ rinvF(sk0(X0),X2)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
fof(f21,axiom,
cUnsatisfiable(i2003_11_14_17_19_49673),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f21_nnf,plain,
cUnsatisfiable(i2003_11_14_17_19_49673),
inference(nnf_transformation,[status(thm)],[f21]) ).
cnf(c30,plain,
cUnsatisfiable(i2003_11_14_17_19_49673),
inference(cnf_transformation,[status(esa)],[f21_nnf]) ).
cnf(p40,plain,
( ~ cp1(sk1(i2003_11_14_17_19_49673,X0))
| ~ rinvF(sk0(i2003_11_14_17_19_49673),X0) ),
inference(resolution,[status(thm)],[c20,c30]) ).
fof(f18,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f18_nnf,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c26,plain,
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(c18,plain,
( rf(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p32,plain,
rf(i2003_11_14_17_19_49673,sk0(i2003_11_14_17_19_49673)),
inference(resolution,[status(thm)],[c18,c30]) ).
cnf(p33,plain,
rinvF(sk0(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673),
inference(resolution,[status(thm)],[c26,p32]) ).
cnf(p57,plain,
~ cp1(sk0(i2003_11_14_17_19_49673)),
inference(resolution,[status(thm)],[p40,p33]) ).
cnf(c21,plain,
( cp1(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p31,plain,
cp1(sk0(i2003_11_14_17_19_49673)),
inference(resolution,[status(thm)],[c21,c30]) ).
cnf(p58,plain,
$false,
inference(resolution,[status(thm)],[p57,p31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS088+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.02/15.22 % CPULimit : 300
% 0.02/15.22 % WCLimit : 300
% 0.02/15.22 % DateTime : Wed Sep 23 19:20:55 UTC 2026
% 0.02/15.22 % CPUTime :
% 0.02/15.22 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/15.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/15.65 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------