%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS089+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 01:53:01 PM UTC 2026
% Result : Unsatisfiable 3.92s 0.95s
% Output : Proof 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 109 ( 44 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 114 ( 44 ~; 41 |; 25 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 57 ( 4 sgn 24 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1,X2] :
( ( rinvP(ispy,X2)
& rinvP(ispy,X1)
& rinvP(ispy,X0) )
=> ( X1 = X2
| X0 = X2
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f16_nnf,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| ~ rinvP(ispy,X2)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| ~ rinvP(ispy,X2)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c25,plain,
( X1 = X2
| X0 = X2
| X0 = X1
| ~ rinvP(ispy,X2)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
fof(f15,axiom,
! [X,Y] :
( rp(X,Y)
<=> rinvP(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f15_nnf,plain,
! [X,Y] :
( ( ~ rinvP(Y,X)
| rp(X,Y) )
& ( rinvP(Y,X)
| ~ rp(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X,Y] :
( ( ~ rinvP(Y,X)
| rp(X,Y) )
& ( rinvP(Y,X)
| ~ rp(X,Y) ) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c23,plain,
( rinvP(X1,X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
fof(f14,axiom,
! [X] :
( cowlThing(X)
=> ? [Y] :
( Y = ispy
& rp(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f14_nnf,plain,
! [X] :
( ? [Y] :
( Y = ispy
& rp(X,Y) )
| ~ cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X] :
( ( sk3(X) = ispy
& rp(X,sk3(X)) )
| ~ cowlThing(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f14_nnf]) ).
cnf(c22,plain,
( sk3(X0) = ispy
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
fof(f11,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f11_nnf,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p32,plain,
sk3(X0) = ispy,
inference(resolution,[status(thm)],[c22,c11]) ).
cnf(c21,plain,
( rp(X0,sk3(X0))
| ~ cowlThing(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p31,plain,
rp(X0,sk3(X0)),
inference(resolution,[status(thm)],[c21,c11]) ).
cnf(p33,plain,
rp(X0,ispy),
inference(demodulation,[status(thm)],[p32,p31]) ).
cnf(p34,plain,
rinvP(ispy,X0),
inference(resolution,[status(thm)],[c23,p33]) ).
cnf(p39,plain,
( X0 = X1
| X2 = X1
| X2 = X0
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(resolution,[status(thm)],[c25,p34]) ).
cnf(p41,plain,
( X2 = X0
| X1 = X0
| X1 = X2
| ~ rinvP(ispy,X0) ),
inference(resolution,[status(thm)],[p39,p34]) ).
cnf(p43,plain,
( X1 = X2
| X0 = X2
| X0 = X1 ),
inference(resolution,[status(thm)],[p41,p34]) ).
fof(f13,axiom,
! [X] :
( cUnsatisfiable(X)
=> ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f13_nnf,plain,
! [X] :
( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
| ~ cUnsatisfiable(X) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X] :
( ( sk1(X) != sk2(X)
& sk0(X) != sk2(X)
& sk0(X) != sk1(X)
& rr(X,sk2(X))
& rr(X,sk1(X))
& rr(X,sk0(X)) )
| ~ cUnsatisfiable(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f13_nnf]) ).
cnf(c18,plain,
( sk0(X0) != sk1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
fof(f18,axiom,
cUnsatisfiable(i2003_11_14_17_19_53168),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f18_nnf,plain,
cUnsatisfiable(i2003_11_14_17_19_53168),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c27,plain,
cUnsatisfiable(i2003_11_14_17_19_53168),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(p35,plain,
sk0(i2003_11_14_17_19_53168) != sk1(i2003_11_14_17_19_53168),
inference(resolution,[status(thm)],[c18,c27]) ).
cnf(p45,plain,
( sk1(i2003_11_14_17_19_53168) = X0
| sk0(i2003_11_14_17_19_53168) = X0 ),
inference(resolution,[status(thm)],[p43,p35]) ).
cnf(c20,plain,
( sk1(X0) != sk2(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p37,plain,
sk1(i2003_11_14_17_19_53168) != sk2(i2003_11_14_17_19_53168),
inference(resolution,[status(thm)],[c20,c27]) ).
cnf(p82,plain,
sk0(i2003_11_14_17_19_53168) = sk2(i2003_11_14_17_19_53168),
inference(resolution,[status(thm)],[p45,p37]) ).
cnf(c19,plain,
( sk0(X0) != sk2(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p36,plain,
sk0(i2003_11_14_17_19_53168) != sk2(i2003_11_14_17_19_53168),
inference(resolution,[status(thm)],[c19,c27]) ).
cnf(p93,plain,
$false,
inference(resolution,[status(thm)],[p82,p36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS089+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Wed Sep 23 19:21:05 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.92/0.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.92/0.95 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------