%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS090+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 : 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 07:45:08 AM UTC 2026
% Result : Unsatisfiable 7.58s 2.91s
% Output : CNFRefutation 7.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 103 ( 47 ~; 45 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn 6 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,axiom,
! [X0] :
( cC2(X0)
=> ( ( cA(X0)
| cB(X0) )
& ( cA(X0)
| ~ cB(X0) ) ) ) ).
fof(axiom_4,axiom,
! [X0] :
( cC3(X0)
=> ( ( ~ cA(X0)
| cB(X0) )
& ( ~ cA(X0)
| ~ cB(X0) ) ) ) ).
fof(axiom_5,axiom,
! [X0] :
( cC4(X0)
=> ? [X1] :
( cC2(X1)
& rR(X0,X1) ) ) ).
fof(axiom_6,axiom,
! [X0] :
( cC5(X0)
=> ! [X1] :
( rR(X0,X1)
=> cC3(X1) ) ) ).
fof(axiom_7,axiom,
! [X0] :
( cTEST(X0)
=> ( cC5(X0)
& cC1(X0)
& cC4(X0) ) ) ).
fof(axiom_8,axiom,
cTEST('i2003$u11$u14$u17$u19$u57994') ).
cnf(c37,plain,
( cA(X0)
| ~ cB(X0)
| ~ cC2(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c38,plain,
( cA(X0)
| cB(X0)
| ~ cC2(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c39,plain,
( ~ cA(X0)
| ~ cB(X0)
| ~ cC3(X0) ),
inference(clausification,[status(esa)],[axiom_4]) ).
cnf(c40,plain,
( ~ cA(X0)
| cB(X0)
| ~ cC3(X0) ),
inference(clausification,[status(esa)],[axiom_4]) ).
cnf(c41,plain,
( rR(X0,sK7(X0))
| ~ cC4(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c42,plain,
( cC2(sK7(X0))
| ~ cC4(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c43,plain,
( cC3(X1)
| ~ rR(X0,X1)
| ~ cC5(X0) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c44,plain,
( cC4(X0)
| ~ cTEST(X0) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c46,plain,
( cC5(X0)
| ~ cTEST(X0) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c47,plain,
cTEST('i2003$u11$u14$u17$u19$u57994'),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(d0,plain,
cC5('i2003$u11$u14$u17$u19$u57994'),
inference(resolution,[status(thm)],[c46,c47]) ).
cnf(d1,plain,
( cA(sK7(X0))
| cB(sK7(X0))
| ~ cC4(X0) ),
inference(resolution,[status(thm)],[c42,c38]) ).
cnf(d2,plain,
( ~ cC4(X0)
| ~ cC5(X0)
| cC3(sK7(X0)) ),
inference(resolution,[status(thm)],[c43,c41]) ).
cnf(d3,plain,
( ~ cA(sK7(X0))
| cB(sK7(X0))
| ~ cC5(X0)
| ~ cC4(X0) ),
inference(resolution,[status(thm)],[d2,c40]) ).
cnf(d4,plain,
( ~ cC4(X0)
| cB(sK7(X0))
| ~ cC5(X0)
| ~ cC4(X0)
| cB(sK7(X0)) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ cA(sK7(X0))
| ~ cB(sK7(X0))
| ~ cC5(X0)
| ~ cC4(X0) ),
inference(resolution,[status(thm)],[d2,c39]) ).
cnf(d6,plain,
( cA(sK7(X0))
| ~ cC2(sK7(X0))
| ~ cC5(X0)
| ~ cC4(X0) ),
inference(resolution,[status(thm)],[d4,c37]) ).
cnf(d7,plain,
( ~ cC4(X0)
| ~ cC5(X0)
| ~ cC4(X0)
| cA(sK7(X0)) ),
inference(resolution,[status(thm)],[d6,c42]) ).
cnf(d8,plain,
( ~ cC5(X0)
| ~ cC4(X0)
| ~ cB(sK7(X0))
| ~ cC5(X0)
| ~ cC4(X0) ),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
( ~ cC5(X0)
| ~ cC4(X0)
| ~ cC5(X0)
| ~ cC4(X0) ),
inference(resolution,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
~ cC4('i2003$u11$u14$u17$u19$u57994'),
inference(resolution,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
cC4('i2003$u11$u14$u17$u19$u57994'),
inference(resolution,[status(thm)],[c44,c47]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 19:36:53 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.58/2.91 % SZS status Unsatisfiable for theBenchmark.p
% 7.58/2.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------