%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS073+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 : n012.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 1.97s 0.71s
% Output : Proof 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 113 ( 6 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 121 ( 47 ~; 44 |; 23 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn 39 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
cUnsatisfiable(i2003_11_14_17_18_54369),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f27_nnf,plain,
cUnsatisfiable(i2003_11_14_17_18_54369),
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c40,plain,
cUnsatisfiable(i2003_11_14_17_18_54369),
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
fof(f20,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ~ cp(X)
& ? [Y] :
( ! [Z] :
( rinvF(Y,Z)
=> ? [W] :
( cp(W)
& rs(Z,W) ) )
& ! [Z] :
( rinvS(Y,Z)
=> cp(Z) )
& rf(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f20_nnf,plain,
! [X] :
( ( cp(X)
| ! [Y] :
( ? [Z] :
( ! [W] :
( ~ cp(W)
| ~ rs(Z,W) )
& rinvF(Y,Z) )
| ? [Z] :
( ~ cp(Z)
& rinvS(Y,Z) )
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ( ( ~ cp(X)
& ? [Y] :
( ! [Z] :
( ? [W] :
( cp(W)
& rs(Z,W) )
| ~ rinvF(Y,Z) )
& ! [Z] :
( cp(Z)
| ~ rinvS(Y,Z) )
& rf(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X,Z,Y,W] :
( ( cp(X)
| ( ( ~ cp(W)
| ~ rs(sk3(X,Y),W) )
& rinvF(Y,sk3(X,Y)) )
| ( ~ cp(sk2(X,Y))
& rinvS(Y,sk2(X,Y)) )
| ~ rf(X,Y)
| cUnsatisfiable(X) )
& ( ( ~ cp(X)
& ( ( cp(sk1(X,Z))
& rs(Z,sk1(X,Z)) )
| ~ rinvF(sk0(X),Z) )
& ( cp(Z)
| ~ rinvS(sk0(X),Z) )
& rf(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3])],[f20_nnf]) ).
cnf(c22,plain,
( rf(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p44,plain,
rf(i2003_11_14_17_18_54369,sk0(i2003_11_14_17_18_54369)),
inference(resolution,[status(thm)],[c40,c22]) ).
fof(f23,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f23_nnf,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c34,plain,
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p50,plain,
rinvF(sk0(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(resolution,[status(thm)],[p44,c34]) ).
cnf(c24,plain,
( rs(X2,sk1(X0,X2))
| ~ rinvF(sk0(X0),X2)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p46,plain,
( rs(X0,sk1(i2003_11_14_17_18_54369,X0))
| ~ rinvF(sk0(i2003_11_14_17_18_54369),X0) ),
inference(resolution,[status(thm)],[c40,c24]) ).
cnf(p51,plain,
rs(i2003_11_14_17_18_54369,sk1(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369)),
inference(resolution,[status(thm)],[p50,p46]) ).
fof(f29,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f29_nnf,plain,
! [X,Y] :
( rf(X,Y)
| ~ rs(X,Y) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X,Y] :
( rf(X,Y)
| ~ rs(X,Y) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c42,plain,
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p56,plain,
rf(i2003_11_14_17_18_54369,sk1(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369)),
inference(resolution,[status(thm)],[p51,c42]) ).
fof(f21,axiom,
! [X,Y,Z] :
( ( rf(X,Z)
& rf(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f21_nnf,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c31,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p59,plain,
( sk1(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369) = X0
| ~ rf(i2003_11_14_17_18_54369,X0) ),
inference(resolution,[status(thm)],[p56,c31]) ).
cnf(p62,plain,
sk1(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369) = sk0(i2003_11_14_17_18_54369),
inference(resolution,[status(thm)],[p59,p44]) ).
fof(f25,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f25_nnf,plain,
! [X,Y] :
( ( ~ rs(Y,X)
| rinvS(X,Y) )
& ( rs(Y,X)
| ~ rinvS(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X,Y] :
( ( ~ rs(Y,X)
| rinvS(X,Y) )
& ( rs(Y,X)
| ~ rinvS(X,Y) ) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c38,plain,
( ~ rs(X1,X0)
| rinvS(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p53,plain,
rinvS(sk1(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(resolution,[status(thm)],[p51,c38]) ).
cnf(p65,plain,
rinvS(sk0(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(demodulation,[status(thm)],[p62,p53]) ).
cnf(c23,plain,
( cp(X2)
| ~ rinvS(sk0(X0),X2)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p45,plain,
( cp(X0)
| ~ rinvS(sk0(i2003_11_14_17_18_54369),X0) ),
inference(resolution,[status(thm)],[c40,c23]) ).
cnf(p70,plain,
cp(i2003_11_14_17_18_54369),
inference(resolution,[status(thm)],[p65,p45]) ).
cnf(c26,plain,
( ~ cp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p48,plain,
~ cp(i2003_11_14_17_18_54369),
inference(resolution,[status(thm)],[c40,c26]) ).
cnf(p71,plain,
$false,
inference(resolution,[status(thm)],[p70,p48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS073+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Wed Sep 23 19:18:35 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.97/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.97/0.71 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------