%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 : Sun Sep 27 07:45:11 AM UTC 2026
% Result : Unsatisfiable 12.09s 1.91s
% Output : CNFRefutation 12.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 79 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 80 ( 38 ~; 28 |; 6 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 43 ( 2 sgn 11 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ).
fof(axiom_2,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ? [X1] :
( 'ca$uAx2'(X1)
& rf(X0,X1) ) ) ).
fof(axiom_3,axiom,
! [X0] :
( cp1(X0)
<=> ~ ? [X1] : 'ra$uPx1'(X0,X1) ) ).
fof(axiom_4,axiom,
! [X0] :
( cp1xcomp(X0)
<=> ? [X1] : 'ra$uPx1'(X0,X1) ) ).
fof(axiom_5,axiom,
! [X0] :
( 'ca$uAx2'(X0)
<=> ( cp1(X0)
& ? [X1] :
( 'ca$uVx3'(X1)
& rinvF(X0,X1) ) ) ) ).
fof(axiom_6,axiom,
! [X0] :
( 'ca$uVx3'(X0)
<=> ? [X1] :
( cp1xcomp(X1)
& rf(X0,X1) ) ) ).
fof(axiom_7,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ) ) ).
fof(axiom_8,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ) ).
fof(axiom_11,axiom,
cUnsatisfiable('i2003$u11$u14$u17$u21$u48796') ).
cnf(c19,plain,
cowlThing(X0),
inference(clausification,[status(esa)],[axiom_0]) ).
cnf(c24,plain,
( 'ca$uAx2'(sK51(X0))
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c26,plain,
( ~ 'ra$uPx1'(X0,X1)
| ~ cp1(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c28,plain,
( 'ra$uPx1'(X0,sK57(X0))
| ~ cp1xcomp(X0) ),
inference(clausification,[status(esa)],[axiom_4]) ).
cnf(c30,plain,
( rinvF(X0,sK60(X0))
| ~ 'ca$uAx2'(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c31,plain,
( 'ca$uVx3'(sK60(X0))
| ~ 'ca$uAx2'(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c32,plain,
( cp1(X0)
| ~ 'ca$uAx2'(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c34,plain,
( rf(X0,sK63(X0))
| ~ 'ca$uVx3'(X0) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c35,plain,
( cp1xcomp(sK63(X0))
| ~ 'ca$uVx3'(X0) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c37,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| ~ cowlThing(X0) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c38,plain,
( rf(X1,X0)
| ~ rinvF(X0,X1) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(c43,plain,
cUnsatisfiable('i2003$u11$u14$u17$u21$u48796'),
inference(clausification,[status(esa)],[axiom_11]) ).
cnf(d0,plain,
( cp1(sK51(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[c24,c32]) ).
cnf(d1,plain,
( ~ cp1(X0)
| ~ cp1xcomp(X0) ),
inference(resolution,[status(thm)],[c28,c26]) ).
cnf(d2,plain,
( ~ 'ca$uVx3'(X0)
| ~ cp1(sK63(X0)) ),
inference(resolution,[status(thm)],[d1,c35]) ).
cnf(d3,plain,
( ~ 'ca$uAx2'(X0)
| rf(sK60(X0),X0) ),
inference(resolution,[status(thm)],[c38,c30]) ).
cnf(d4,plain,
( ~ rf(X2,X1)
| ~ rf(X2,X0)
| X0 = X1 ),
inference(resolution,[status(thm)],[c19,c37]) ).
cnf(d5,plain,
( ~ 'ca$uVx3'(X0)
| ~ rf(X0,X1)
| sK63(X0) = X1 ),
inference(resolution,[status(thm)],[d4,c34]) ).
cnf(d6,plain,
( ~ 'ca$uAx2'(X0)
| ~ 'ca$uVx3'(sK60(X0))
| sK63(sK60(X0)) = X0 ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( ~ 'ca$uAx2'(X0)
| ~ 'ca$uAx2'(X0)
| sK63(sK60(X0)) = X0 ),
inference(resolution,[status(thm)],[d6,c31]) ).
cnf(d8,plain,
( ~ cUnsatisfiable(X0)
| sK63(sK60(sK51(X0))) = sK51(X0) ),
inference(resolution,[status(thm)],[d7,c24]) ).
cnf(d9,plain,
sK63(sK60(sK51('i2003$u11$u14$u17$u21$u48796'))) = sK51('i2003$u11$u14$u17$u21$u48796'),
inference(resolution,[status(thm)],[d8,c43]) ).
cnf(d10,plain,
( ~ 'ca$uVx3'(sK60(sK51('i2003$u11$u14$u17$u21$u48796')))
| ~ cp1(sK51('i2003$u11$u14$u17$u21$u48796')) ),
inference(superposition,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
( ~ 'ca$uAx2'(sK51('i2003$u11$u14$u17$u21$u48796'))
| ~ cp1(sK51('i2003$u11$u14$u17$u21$u48796')) ),
inference(resolution,[status(thm)],[d10,c31]) ).
cnf(d12,plain,
( ~ cUnsatisfiable('i2003$u11$u14$u17$u21$u48796')
| ~ 'ca$uAx2'(sK51('i2003$u11$u14$u17$u21$u48796')) ),
inference(resolution,[status(thm)],[d11,d0]) ).
cnf(d13,plain,
~ 'ca$uAx2'(sK51('i2003$u11$u14$u17$u21$u48796')),
inference(resolution,[status(thm)],[c43,d12]) ).
cnf(d14,plain,
~ cUnsatisfiable('i2003$u11$u14$u17$u21$u48796'),
inference(resolution,[status(thm)],[d13,c24]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[c43,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 19:37:53 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.09/1.91 % SZS status Unsatisfiable for theBenchmark.p
% 12.09/1.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------