%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS074+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 : n013.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 01:52:59 PM UTC 2026
% Result : Unsatisfiable 4.08s 1.08s
% Output : Proof 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 60 ( 23 ~; 19 |; 16 &)
% ( 1 <=>; 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; 0-1 aty)
% Number of variables : 19 ( 0 sgn 9 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rs(X,Y)
=> ~ cp(Y) )
& ? [Y] :
( ? [Z] :
( cp(Z)
& rinvS(Y,Z) )
& cp(Y)
& rs(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f20_nnf,plain,
! [X] :
( ( ? [Y] :
( cp(Y)
& rs(X,Y) )
| ! [Y] :
( ! [Z] :
( ~ cp(Z)
| ~ rinvS(Y,Z) )
| ~ cp(Y)
| ~ rs(X,Y) )
| cUnsatisfiable(X) )
& ( ( ! [Y] :
( ~ cp(Y)
| ~ rs(X,Y) )
& ? [Y] :
( ? [Z] :
( cp(Z)
& rinvS(Y,Z) )
& cp(Y)
& rs(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X,Y,Z] :
( ( ( cp(sk2(X))
& rs(X,sk2(X)) )
| ~ cp(Z)
| ~ rinvS(Y,Z)
| ~ cp(Y)
| ~ rs(X,Y)
| cUnsatisfiable(X) )
& ( ( ( ~ cp(Y)
| ~ rs(X,Y) )
& cp(sk1(X))
& rinvS(sk0(X),sk1(X))
& cp(sk0(X))
& rs(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f20_nnf]) ).
cnf(c26,plain,
( ~ cp(X1)
| ~ rs(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
fof(f27,axiom,
cUnsatisfiable(i2003_11_14_17_18_59896),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f27_nnf,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c38,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
cnf(p55,plain,
( ~ cp(X0)
| ~ rs(i2003_11_14_17_18_59896,X0) ),
inference(resolution,[status(thm)],[c26,c38]) ).
cnf(c22,plain,
( rs(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p43,plain,
rs(i2003_11_14_17_18_59896,sk0(i2003_11_14_17_18_59896)),
inference(resolution,[status(thm)],[c22,c38]) ).
cnf(p56,plain,
~ cp(sk0(i2003_11_14_17_18_59896)),
inference(resolution,[status(thm)],[p55,p43]) ).
cnf(c23,plain,
( cp(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p41,plain,
cp(sk0(i2003_11_14_17_18_59896)),
inference(resolution,[status(thm)],[c23,c38]) ).
cnf(p57,plain,
$false,
inference(resolution,[status(thm)],[p56,p41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS074+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 19:18:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.08/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.08/1.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------