%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS075+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 : n006.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 2.17s 1.19s
% Output : Proof 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 15 unt; 0 def)
% Number of atoms : 104 ( 12 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 105 ( 42 ~; 39 |; 19 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 60 ( 0 sgn 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
cUnsatisfiable(i2003_11_14_17_19_02584),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f27_nnf,plain,
cUnsatisfiable(i2003_11_14_17_19_02584),
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c38,plain,
cUnsatisfiable(i2003_11_14_17_19_02584),
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
fof(f20,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( ~ cp(Y)
& rf1(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f20_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| ! [Y] :
( cp(Y)
| ~ rf1(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( ~ cp(Y)
& rf1(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X,Y] :
( ( ~ cp(Y)
| ~ rf(X,Y)
| ~ cowlThing(Y)
| ~ rs(X,Y)
| cp(Y)
| ~ rf1(X,Y)
| cUnsatisfiable(X) )
& ( ( cp(sk2(X))
& rf(X,sk2(X))
& cowlThing(sk1(X))
& rs(X,sk1(X))
& ~ cp(sk0(X))
& rf1(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f20_nnf]) ).
cnf(c24,plain,
( rs(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p43,plain,
rs(i2003_11_14_17_19_02584,sk1(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[c38,c24]) ).
fof(f28,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f28_nnf,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rs(X,Y) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rs(X,Y) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c39,plain,
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p50,plain,
rf1(i2003_11_14_17_19_02584,sk1(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[p43,c39]) ).
fof(f22,axiom,
! [X,Y,Z] :
( ( rf1(X,Z)
& rf1(X,Y) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f22_nnf,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c30,plain,
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p54,plain,
( sk1(i2003_11_14_17_19_02584) = X0
| ~ rf1(i2003_11_14_17_19_02584,X0) ),
inference(resolution,[status(thm)],[p50,c30]) ).
cnf(c22,plain,
( rf1(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p41,plain,
rf1(i2003_11_14_17_19_02584,sk0(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[c38,c22]) ).
cnf(p61,plain,
sk1(i2003_11_14_17_19_02584) = sk0(i2003_11_14_17_19_02584),
inference(resolution,[status(thm)],[p54,p41]) ).
cnf(c26,plain,
( rf(X0,sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p44,plain,
rf(i2003_11_14_17_19_02584,sk2(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[c38,c26]) ).
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(c29,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p52,plain,
( sk2(i2003_11_14_17_19_02584) = X0
| ~ rf(i2003_11_14_17_19_02584,X0) ),
inference(resolution,[status(thm)],[p44,c29]) ).
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(c40,plain,
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p51,plain,
rf(i2003_11_14_17_19_02584,sk1(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[p43,c40]) ).
cnf(p59,plain,
sk2(i2003_11_14_17_19_02584) = sk1(i2003_11_14_17_19_02584),
inference(resolution,[status(thm)],[p52,p51]) ).
cnf(c27,plain,
( cp(sk2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p45,plain,
cp(sk2(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[c38,c27]) ).
cnf(p60,plain,
cp(sk1(i2003_11_14_17_19_02584)),
inference(demodulation,[status(thm)],[p59,p45]) ).
cnf(p69,plain,
cp(sk0(i2003_11_14_17_19_02584)),
inference(demodulation,[status(thm)],[p61,p60]) ).
cnf(c23,plain,
( ~ cp(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p42,plain,
~ cp(sk0(i2003_11_14_17_19_02584)),
inference(resolution,[status(thm)],[c38,c23]) ).
cnf(p70,plain,
$false,
inference(resolution,[status(thm)],[p69,p42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS075+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 19:20:13 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.17/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.17/1.19 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------