%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS122+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 : n020.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 07:45:12 AM UTC 2026
% Result : Unsatisfiable 12.37s 2.60s
% Output : CNFRefutation 12.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 72 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 71 ( 33 ~; 26 |; 4 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 39 ( 1 sgn 11 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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)
<=> ( ! [X1] :
( rinvF(X0,X1)
=> 'ca$uVx3'(X1) )
& cp1(X0) ) ) ).
fof(axiom_6,axiom,
! [X0] :
( 'ca$uVx3'(X0)
<=> ? [X1] :
( cp1xcomp(X1)
& rf(X0,X1) ) ) ).
fof(axiom_7,axiom,
! [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$u55116') ).
cnf(c23,plain,
( rf(X0,sK51(X0))
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c24,plain,
( 'ca$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,
( cp1(X0)
| ~ 'ca$uAx2'(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c31,plain,
( 'ca$uVx3'(X1)
| ~ rinvF(X0,X1)
| ~ '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$uVx3'(X0) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c37,plain,
( X1 = X2
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c39,plain,
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(c43,plain,
cUnsatisfiable('i2003$u11$u14$u17$u21$u55116'),
inference(clausification,[status(esa)],[axiom_11]) ).
cnf(d0,plain,
( cp1(sK51(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[c24,c30]) ).
cnf(d1,plain,
( ~ cp1(X0)
| ~ cp1xcomp(X0) ),
inference(resolution,[status(thm)],[c28,c26]) ).
cnf(d2,plain,
( ~ 'ca$uVx3'(X0)
| ~ cp1(sK63(X0)) ),
inference(resolution,[status(thm)],[d1,c35]) ).
cnf(d3,plain,
( ~ cUnsatisfiable(X0)
| rinvF(sK51(X0),X0) ),
inference(resolution,[status(thm)],[c39,c23]) ).
cnf(d4,plain,
( 'ca$uVx3'(X0)
| ~ 'ca$uAx2'(sK51(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[d3,c31]) ).
cnf(d5,plain,
( ~ cUnsatisfiable(X0)
| 'ca$uVx3'(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[d4,c24]) ).
cnf(d6,plain,
'ca$uVx3'('i2003$u11$u14$u17$u21$u55116'),
inference(resolution,[status(thm)],[d5,c43]) ).
cnf(d7,plain,
( ~ cUnsatisfiable(X1)
| ~ rf(X1,X0)
| X0 = sK51(X1) ),
inference(resolution,[status(thm)],[c37,c23]) ).
cnf(d8,plain,
( ~ 'ca$uVx3'(X0)
| ~ cUnsatisfiable(X0)
| sK63(X0) = sK51(X0) ),
inference(resolution,[status(thm)],[d7,c34]) ).
cnf(d9,plain,
( ~ cUnsatisfiable('i2003$u11$u14$u17$u21$u55116')
| sK63('i2003$u11$u14$u17$u21$u55116') = sK51('i2003$u11$u14$u17$u21$u55116') ),
inference(resolution,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
sK63('i2003$u11$u14$u17$u21$u55116') = sK51('i2003$u11$u14$u17$u21$u55116'),
inference(resolution,[status(thm)],[c43,d9]) ).
cnf(d11,plain,
( ~ 'ca$uVx3'('i2003$u11$u14$u17$u21$u55116')
| ~ cp1(sK51('i2003$u11$u14$u17$u21$u55116')) ),
inference(superposition,[status(thm)],[d10,d2]) ).
cnf(d12,plain,
~ cp1(sK51('i2003$u11$u14$u17$u21$u55116')),
inference(resolution,[status(thm)],[d6,d11]) ).
cnf(d13,plain,
~ cUnsatisfiable('i2003$u11$u14$u17$u21$u55116'),
inference(resolution,[status(thm)],[d12,d0]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c43,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS122+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % Computer : n020.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Fri Sep 25 19:41:18 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.37/2.60 % SZS status Unsatisfiable for theBenchmark.p
% 12.37/2.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------