%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 01:53:06 PM UTC 2026
% Result : Unsatisfiable 3.22s 0.81s
% Output : Proof 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 16 unt; 0 def)
% Number of atoms : 141 ( 7 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 148 ( 59 ~; 53 |; 28 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 73 ( 3 sgn 43 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y1)
& rf(X,Y0) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f26_nnf,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf(X,Y1)
| ~ rf(X,Y0) )
| ~ cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X,Y0,Y1] :
( Y0 = Y1
| ~ rf(X,Y1)
| ~ rf(X,Y0)
| ~ cowlThing(X) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c37,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
fof(f19,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f19_nnf,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p89,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(resolution,[status(thm)],[c37,c19]) ).
fof(f27,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f27_nnf,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c38,plain,
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
fof(f24,axiom,
! [X] :
( ca_Ax2(X)
<=> ( cp1(X)
& ? [Y] :
( ca_Vx3(Y)
& rinvF(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f24_nnf,plain,
! [X] :
( ( ~ cp1(X)
| ! [Y] :
( ~ ca_Vx3(Y)
| ~ rinvF(X,Y) )
| ca_Ax2(X) )
& ( ( cp1(X)
& ? [Y] :
( ca_Vx3(Y)
& rinvF(X,Y) ) )
| ~ ca_Ax2(X) ) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X,Y] :
( ( ~ cp1(X)
| ~ ca_Vx3(Y)
| ~ rinvF(X,Y)
| ca_Ax2(X) )
& ( ( cp1(X)
& ca_Vx3(sk3(X))
& rinvF(X,sk3(X)) )
| ~ ca_Ax2(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f24_nnf]) ).
cnf(c30,plain,
( rinvF(X0,sk3(X0))
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
fof(f21,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( ca_Ax2(Y)
& rf(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f21_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf(X,Y) )
| cUnsatisfiable(X) )
& ( ? [Y] :
( ca_Ax2(Y)
& rf(X,Y) )
| ~ cUnsatisfiable(X) ) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X,Y] :
( ( ~ ca_Ax2(Y)
| ~ rf(X,Y)
| cUnsatisfiable(X) )
& ( ( ca_Ax2(sk0(X))
& rf(X,sk0(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f21_nnf]) ).
cnf(c24,plain,
( ca_Ax2(sk0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
fof(f30,axiom,
cUnsatisfiable(i2003_11_14_17_21_48796),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f30_nnf,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(nnf_transformation,[status(thm)],[f30]) ).
cnf(c43,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(cnf_transformation,[status(esa)],[f30_nnf]) ).
cnf(p44,plain,
ca_Ax2(sk0(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[c24,c43]) ).
cnf(p53,plain,
rinvF(sk0(i2003_11_14_17_21_48796),sk3(sk0(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[c30,p44]) ).
cnf(p55,plain,
rf(sk3(sk0(i2003_11_14_17_21_48796)),sk0(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[c38,p53]) ).
cnf(p91,plain,
( sk0(i2003_11_14_17_21_48796) = X0
| ~ rf(sk3(sk0(i2003_11_14_17_21_48796)),X0) ),
inference(resolution,[status(thm)],[p89,p55]) ).
fof(f25,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( cp1xcomp(Y)
& rf(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f25_nnf,plain,
! [X] :
( ( ! [Y] :
( ~ cp1xcomp(Y)
| ~ rf(X,Y) )
| ca_Vx3(X) )
& ( ? [Y] :
( cp1xcomp(Y)
& rf(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X,Y] :
( ( ~ cp1xcomp(Y)
| ~ rf(X,Y)
| ca_Vx3(X) )
& ( ( cp1xcomp(sk4(X))
& rf(X,sk4(X)) )
| ~ ca_Vx3(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f25_nnf]) ).
cnf(c34,plain,
( rf(X0,sk4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(c31,plain,
( ca_Vx3(sk3(X0))
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p47,plain,
ca_Vx3(sk3(sk0(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[c31,p44]) ).
cnf(p54,plain,
rf(sk3(sk0(i2003_11_14_17_21_48796)),sk4(sk3(sk0(i2003_11_14_17_21_48796)))),
inference(resolution,[status(thm)],[c34,p47]) ).
cnf(p97,plain,
sk0(i2003_11_14_17_21_48796) = sk4(sk3(sk0(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[p91,p54]) ).
cnf(c35,plain,
( cp1xcomp(sk4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p48,plain,
cp1xcomp(sk4(sk3(sk0(i2003_11_14_17_21_48796)))),
inference(resolution,[status(thm)],[c35,p47]) ).
cnf(p99,plain,
cp1xcomp(sk0(i2003_11_14_17_21_48796)),
inference(superposition,[status(thm)],[p97,p48]) ).
fof(f23,axiom,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f23_nnf,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| cp1xcomp(X) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cp1xcomp(X) ) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X,Y0] :
( ( ~ ra_Px1(X,Y0)
| cp1xcomp(X) )
& ( ra_Px1(X,sk2(X))
| ~ cp1xcomp(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f23_nnf]) ).
cnf(c28,plain,
( ra_Px1(X0,sk2(X0))
| ~ cp1xcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p117,plain,
ra_Px1(sk0(i2003_11_14_17_21_48796),sk2(sk0(i2003_11_14_17_21_48796))),
inference(resolution,[status(thm)],[p99,c28]) ).
fof(f22,axiom,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f22_nnf,plain,
! [X] :
( ( ? [Y] : ra_Px1(X,Y)
| cp1(X) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp1(X) ) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X,Y] :
( ( ra_Px1(X,sk1(X))
| cp1(X) )
& ( ~ ra_Px1(X,Y)
| ~ cp1(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f22_nnf]) ).
cnf(c26,plain,
( ~ ra_Px1(X0,X1)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(c32,plain,
( cp1(X0)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p45,plain,
cp1(sk0(i2003_11_14_17_21_48796)),
inference(resolution,[status(thm)],[p44,c32]) ).
cnf(p46,plain,
~ ra_Px1(sk0(i2003_11_14_17_21_48796),X0),
inference(resolution,[status(thm)],[c26,p45]) ).
cnf(p141,plain,
$false,
inference(resolution,[status(thm)],[p117,p46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/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 19:26:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.22/0.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.22/0.81 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------