%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS087+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 : n001.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 3.04s 1.09s
% Output : Proof 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 91 ( 36 ~; 32 |; 19 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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; 0-3 aty)
% Number of variables : 42 ( 0 sgn 25 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X,Y,Z] :
( ( rr(Y,Z)
& rr(X,Y) )
=> rr(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f20_nnf,plain,
! [X,Y,Z] :
( rr(X,Z)
| ~ rr(Y,Z)
| ~ rr(X,Y) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X,Y,Z] :
( rr(X,Z)
| ~ rr(Y,Z)
| ~ rr(X,Y) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c30,plain,
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
fof(f16,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( ? [Z] :
( cp1(Z)
& ! [W] :
( rinvR(Z,W)
=> ~ cp1(W) )
& rr(Y,Z) )
& rr(X,Y) )
& cp1(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f16_nnf,plain,
! [X] :
( ( ! [Y] :
( ! [Z] :
( ~ cp1(Z)
| ? [W] :
( cp1(W)
& rinvR(Z,W) )
| ~ rr(Y,Z) )
| ~ rr(X,Y) )
| ~ cp1(X)
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( ? [Z] :
( cp1(Z)
& ! [W] :
( ~ cp1(W)
| ~ rinvR(Z,W) )
& rr(Y,Z) )
& rr(X,Y) )
& cp1(X) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X,W,Y,Z] :
( ( ~ cp1(Z)
| ( cp1(sk2(X,Y,Z))
& rinvR(Z,sk2(X,Y,Z)) )
| ~ rr(Y,Z)
| ~ rr(X,Y)
| ~ cp1(X)
| cUnsatisfiable(X) )
& ( ( cp1(sk1(X))
& ( ~ cp1(W)
| ~ rinvR(sk1(X),W) )
& rr(sk0(X),sk1(X))
& rr(X,sk0(X))
& cp1(X) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f16_nnf]) ).
cnf(c19,plain,
( rr(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
fof(f21,axiom,
cUnsatisfiable(i2003_11_14_17_19_46763),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f21_nnf,plain,
cUnsatisfiable(i2003_11_14_17_19_46763),
inference(nnf_transformation,[status(thm)],[f21]) ).
cnf(c31,plain,
cUnsatisfiable(i2003_11_14_17_19_46763),
inference(cnf_transformation,[status(esa)],[f21_nnf]) ).
cnf(p34,plain,
rr(i2003_11_14_17_19_46763,sk0(i2003_11_14_17_19_46763)),
inference(resolution,[status(thm)],[c19,c31]) ).
cnf(p40,plain,
( rr(i2003_11_14_17_19_46763,X0)
| ~ rr(sk0(i2003_11_14_17_19_46763),X0) ),
inference(resolution,[status(thm)],[c30,p34]) ).
cnf(c20,plain,
( rr(sk0(X0),sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p36,plain,
rr(sk0(i2003_11_14_17_19_46763),sk1(i2003_11_14_17_19_46763)),
inference(resolution,[status(thm)],[c20,c31]) ).
cnf(p42,plain,
rr(i2003_11_14_17_19_46763,sk1(i2003_11_14_17_19_46763)),
inference(resolution,[status(thm)],[p40,p36]) ).
fof(f19,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f19_nnf,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X,Y] :
( ( ~ rr(Y,X)
| rinvR(X,Y) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c29,plain,
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p43,plain,
rinvR(sk1(i2003_11_14_17_19_46763),i2003_11_14_17_19_46763),
inference(resolution,[status(thm)],[p42,c29]) ).
cnf(c21,plain,
( ~ cp1(X3)
| ~ rinvR(sk1(X0),X3)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p38,plain,
( ~ cp1(X0)
| ~ rinvR(sk1(i2003_11_14_17_19_46763),X0) ),
inference(resolution,[status(thm)],[c21,c31]) ).
cnf(p45,plain,
~ cp1(i2003_11_14_17_19_46763),
inference(resolution,[status(thm)],[p43,p38]) ).
cnf(c18,plain,
( cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p32,plain,
cp1(i2003_11_14_17_19_46763),
inference(resolution,[status(thm)],[c18,c31]) ).
cnf(p46,plain,
$false,
inference(resolution,[status(thm)],[p45,p32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS087+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n001.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 19:26:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.04/1.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.04/1.09 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------