%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS121+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 13.57s 3.68s
% Output : CNFRefutation 13.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 36 ~; 32 |; 5 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 42 ( 1 sgn 11 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& ? [X1] :
( 'ca$uVx3'(X1)
& rr(X0,X1) ) ) ) ).
fof(axiom_3,axiom,
! [X0] :
( cp1(X0)
<=> ~ ? [X1] : 'ra$uPx1'(X0,X1) ) ).
fof(axiom_4,axiom,
! [X0] :
( cp1xcomp(X0)
<=> ? [X1] : 'ra$uPx1'(X0,X1) ) ).
fof(axiom_5,axiom,
! [X0] :
( 'ca$uAx2'(X0)
<=> ( ! [X1] :
( rinvR(X0,X1)
=> cp1xcomp(X1) )
& cp1(X0) ) ) ).
fof(axiom_6,axiom,
! [X0] :
( 'ca$uVx3'(X0)
<=> ? [X1] :
( 'ca$uAx2'(X1)
& rr(X0,X1) ) ) ).
fof(axiom_9,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ) ).
fof(axiom_10,axiom,
! [X0,X1,X2] :
( ( rr(X1,X2)
& rr(X0,X1) )
=> rr(X0,X2) ) ).
fof(axiom_11,axiom,
cUnsatisfiable('i2003$u11$u14$u17$u21$u5199') ).
cnf(c23,plain,
( rr(X0,sK51(X0))
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c24,plain,
( 'ca$uVx3'(sK51(X0))
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c25,plain,
( cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c27,plain,
( ~ 'ra$uPx1'(X0,X1)
| ~ cp1(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c29,plain,
( 'ra$uPx1'(X0,sK57(X0))
| ~ cp1xcomp(X0) ),
inference(clausification,[status(esa)],[axiom_4]) ).
cnf(c32,plain,
( cp1xcomp(X1)
| ~ rinvR(X0,X1)
| ~ 'ca$uAx2'(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c35,plain,
( rr(X0,sK63(X0))
| ~ 'ca$uVx3'(X0) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c36,plain,
( 'ca$uAx2'(sK63(X0))
| ~ 'ca$uVx3'(X0) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c37,plain,
( ~ 'ca$uAx2'(X1)
| ~ rr(X0,X1)
| 'ca$uVx3'(X0) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c42,plain,
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(clausification,[status(esa)],[axiom_9]) ).
cnf(c43,plain,
( rr(X0,X2)
| ~ rr(X1,X2)
| ~ rr(X0,X1) ),
inference(clausification,[status(esa)],[axiom_10]) ).
cnf(c44,plain,
cUnsatisfiable('i2003$u11$u14$u17$u21$u5199'),
inference(clausification,[status(esa)],[axiom_11]) ).
cnf(d0,plain,
( ~ cp1(X0)
| ~ cp1xcomp(X0) ),
inference(resolution,[status(thm)],[c29,c27]) ).
cnf(d1,plain,
( ~ 'ca$uVx3'(X0)
| rinvR(sK63(X0),X0) ),
inference(resolution,[status(thm)],[c42,c35]) ).
cnf(d2,plain,
( cp1xcomp(X0)
| ~ 'ca$uAx2'(sK63(X0))
| ~ 'ca$uVx3'(X0) ),
inference(resolution,[status(thm)],[d1,c32]) ).
cnf(d3,plain,
( ~ 'ca$uVx3'(X0)
| cp1xcomp(X0)
| ~ 'ca$uVx3'(X0) ),
inference(resolution,[status(thm)],[d2,c36]) ).
cnf(d4,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,X1)
| ~ rr(sK51(X0),X1) ),
inference(resolution,[status(thm)],[c43,c23]) ).
cnf(d5,plain,
( ~ 'ca$uVx3'(sK51(X0))
| rr(X0,sK63(sK51(X0)))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[d4,c35]) ).
cnf(d6,plain,
( 'ca$uVx3'(X0)
| ~ 'ca$uAx2'(sK63(sK51(X0)))
| ~ 'ca$uVx3'(sK51(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[d5,c37]) ).
cnf(d7,plain,
( ~ 'ca$uVx3'(sK51(X0))
| ~ 'ca$uVx3'(sK51(X0))
| 'ca$uVx3'(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[d6,c36]) ).
cnf(d8,plain,
( ~ cUnsatisfiable(X0)
| 'ca$uVx3'(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[d7,c24]) ).
cnf(d9,plain,
'ca$uVx3'('i2003$u11$u14$u17$u21$u5199'),
inference(resolution,[status(thm)],[d8,c44]) ).
cnf(d10,plain,
cp1xcomp('i2003$u11$u14$u17$u21$u5199'),
inference(resolution,[status(thm)],[d9,d3]) ).
cnf(d11,plain,
~ cp1('i2003$u11$u14$u17$u21$u5199'),
inference(resolution,[status(thm)],[d10,d0]) ).
cnf(d12,plain,
cp1('i2003$u11$u14$u17$u21$u5199'),
inference(resolution,[status(thm)],[c25,c44]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS121+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.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 19:35:17 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.57/3.68 % SZS status Unsatisfiable for theBenchmark.p
% 13.57/3.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------