%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS076+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 : n014.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 01:53:00 PM UTC 2026
% Result : Unsatisfiable 4.51s 1.08s
% Output : Proof 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 15 unt; 0 def)
% Number of atoms : 126 ( 13 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 132 ( 53 ~; 49 |; 23 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn 47 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
cUnsatisfiable(i2003_11_14_17_19_06193),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f27_nnf,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c39,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
fof(f20,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( ! [Z] :
( rinvF1(Y,Z)
=> ? [W] :
( cowlThing(W)
& rs(Z,W) ) )
& ~ cp(Y)
& rf1(X,Y) )
& ? [Y] :
( cp(Y)
& rf(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f20_nnf,plain,
! [X] :
( ( ! [Y] :
( ? [Z] :
( ! [W] :
( ~ cowlThing(W)
| ~ rs(Z,W) )
& rinvF1(Y,Z) )
| cp(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( ! [Z] :
( ? [W] :
( cowlThing(W)
& rs(Z,W) )
| ~ rinvF1(Y,Z) )
& ~ cp(Y)
& rf1(X,Y) )
& ? [Y] :
( cp(Y)
& rf(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X,Z,Y,W] :
( ( ( ( ~ cowlThing(W)
| ~ rs(sk3(X,Y),W) )
& rinvF1(Y,sk3(X,Y)) )
| cp(Y)
| ~ rf1(X,Y)
| ~ cp(Y)
| ~ rf(X,Y)
| cUnsatisfiable(X) )
& ( ( ( ( cowlThing(sk2(X,Z))
& rs(Z,sk2(X,Z)) )
| ~ rinvF1(sk1(X),Z) )
& ~ cp(sk1(X))
& rf1(X,sk1(X))
& cp(sk0(X))
& rf(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3])],[f20_nnf]) ).
cnf(c24,plain,
( rf1(X0,sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p44,plain,
rf1(i2003_11_14_17_19_06193,sk1(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[c39,c24]) ).
fof(f24,axiom,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f24_nnf,plain,
! [X,Y] :
( ( ~ rf1(Y,X)
| rinvF1(X,Y) )
& ( rf1(Y,X)
| ~ rinvF1(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X,Y] :
( ( ~ rf1(Y,X)
| rinvF1(X,Y) )
& ( rf1(Y,X)
| ~ rinvF1(X,Y) ) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c35,plain,
( ~ rf1(X1,X0)
| rinvF1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p50,plain,
rinvF1(sk1(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193),
inference(resolution,[status(thm)],[p44,c35]) ).
cnf(c26,plain,
( rs(X2,sk2(X0,X2))
| ~ rinvF1(sk1(X0),X2)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p46,plain,
( rs(X0,sk2(i2003_11_14_17_19_06193,X0))
| ~ rinvF1(sk1(i2003_11_14_17_19_06193),X0) ),
inference(resolution,[status(thm)],[c39,c26]) ).
cnf(p51,plain,
rs(i2003_11_14_17_19_06193,sk2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[p50,p46]) ).
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(c40,plain,
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p54,plain,
rf1(i2003_11_14_17_19_06193,sk2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[p51,c40]) ).
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(c31,plain,
( X1 = X2
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p56,plain,
( sk2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193) = X0
| ~ rf1(i2003_11_14_17_19_06193,X0) ),
inference(resolution,[status(thm)],[p54,c31]) ).
cnf(p62,plain,
sk2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193) = sk1(i2003_11_14_17_19_06193),
inference(resolution,[status(thm)],[p56,p44]) ).
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(c41,plain,
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p55,plain,
rf(i2003_11_14_17_19_06193,sk2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[p51,c41]) ).
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(c30,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p59,plain,
( sk2(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193) = X0
| ~ rf(i2003_11_14_17_19_06193,X0) ),
inference(resolution,[status(thm)],[p55,c30]) ).
cnf(p67,plain,
( sk1(i2003_11_14_17_19_06193) = X0
| ~ rf(i2003_11_14_17_19_06193,X0) ),
inference(demodulation,[status(thm)],[p62,p59]) ).
cnf(c22,plain,
( rf(X0,sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p42,plain,
rf(i2003_11_14_17_19_06193,sk0(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[c39,c22]) ).
cnf(p70,plain,
sk1(i2003_11_14_17_19_06193) = sk0(i2003_11_14_17_19_06193),
inference(resolution,[status(thm)],[p67,p42]) ).
cnf(c25,plain,
( ~ cp(sk1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p45,plain,
~ cp(sk1(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[c39,c25]) ).
cnf(p72,plain,
~ cp(sk0(i2003_11_14_17_19_06193)),
inference(demodulation,[status(thm)],[p70,p45]) ).
cnf(c23,plain,
( cp(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p43,plain,
cp(sk0(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[c39,c23]) ).
cnf(p80,plain,
$false,
inference(resolution,[status(thm)],[p72,p43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS076+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 : n014.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 19:20:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.51/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.51/1.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------