%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS104+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 : n003.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 07:45:09 AM UTC 2026
% Result : Unsatisfiable 16.14s 2.60s
% Output : CNFRefutation 16.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 20
% Syntax : Number of formulae : 75 ( 7 unt; 0 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 146 ( 45 ~; 76 |; 6 &)
% ( 17 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 83 ( 6 sgn 19 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ~ ? [X1] : 'ra$uPx5'(X0,X1) ) ).
fof(axiom_3,axiom,
! [X0] :
( cUnsatisfiablexcomp(X0)
<=> ( 'ca$uCx6'(X0)
& 'ca$uCx8'(X0)
& 'ca$uCx7'(X0) ) ) ).
fof(axiom_4,axiom,
! [X0] :
( cUnsatisfiablexcomp(X0)
<=> ? [X1] : 'ra$uPx5'(X0,X1) ) ).
fof(axiom_5,axiom,
! [X0] :
( ca(X0)
=> 'ca$uCx1'(X0) ) ).
fof(axiom_6,axiom,
! [X0] :
( cb(X0)
<=> ? [X1] : 'ra$uPx3'(X0,X1) ) ).
fof(axiom_7,axiom,
! [X0] :
( cb(X0)
=> ccxcomp(X0) ) ).
fof(axiom_8,axiom,
! [X0] :
( cbxcomp(X0)
<=> ~ ? [X1] : 'ra$uPx3'(X0,X1) ) ).
fof(axiom_9,axiom,
! [X0] :
( cc(X0)
<=> ? [X1] : 'ra$uPx2'(X0,X1) ) ).
fof(axiom_10,axiom,
! [X0] :
( ccxcomp(X0)
<=> ~ ? [X1] : 'ra$uPx2'(X0,X1) ) ).
fof(axiom_11,axiom,
! [X0] :
( 'ca$uCx1'(X0)
<=> ( ccxcomp(X0)
& cbxcomp(X0) ) ) ).
fof(axiom_14,axiom,
! [X0] :
( 'ca$uCx6'(X0)
<=> ~ ? [X1] : 'ra$uPx6'(X0,X1) ) ).
fof(axiom_15,axiom,
! [X0] :
( 'ca$uCx6xcomp'(X0)
<=> ( cb(X0)
& ca(X0) ) ) ).
fof(axiom_16,axiom,
! [X0] :
( 'ca$uCx6xcomp'(X0)
<=> ? [X1] : 'ra$uPx6'(X0,X1) ) ).
fof(axiom_17,axiom,
! [X0] :
( 'ca$uCx7'(X0)
<=> ? [X1] : 'ra$uPx7'(X0,X1) ) ).
fof(axiom_18,axiom,
! [X0] :
( 'ca$uCx7xcomp'(X0)
<=> ( ca(X0)
& cc(X0) ) ) ).
fof(axiom_19,axiom,
! [X0] :
( 'ca$uCx7xcomp'(X0)
<=> ~ ? [X1] : 'ra$uPx7'(X0,X1) ) ).
fof(axiom_20,axiom,
! [X0] :
( 'ca$uCx8'(X0)
<=> ~ ? [X1] : 'ra$uPx8'(X0,X1) ) ).
fof(axiom_21,axiom,
! [X0] :
( 'ca$uCx8xcomp'(X0)
<=> ? [X1] : 'ra$uPx8'(X0,X1) ) ).
fof(axiom_22,axiom,
! [X0] :
( 'ca$uCx8xcomp'(X0)
<=> ( cb(X0)
& cc(X0) ) ) ).
fof(axiom_23,axiom,
cUnsatisfiable('i2003$u11$u14$u17$u20$u50869') ).
cnf(c4,plain,
( ~ 'ra$uPx5'(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c9,plain,
( ~ 'ca$uCx6'(X0)
| ~ 'ca$uCx8'(X0)
| ~ 'ca$uCx7'(X0)
| cUnsatisfiablexcomp(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c10,plain,
( 'ra$uPx5'(X0,sK7(X0))
| ~ cUnsatisfiablexcomp(X0) ),
inference(clausification,[status(esa)],[axiom_4]) ).
cnf(c12,plain,
( 'ca$uCx1'(X0)
| ~ ca(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c13,plain,
( 'ra$uPx3'(X0,sK11(X0))
| ~ cb(X0) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c15,plain,
( ccxcomp(X0)
| ~ cb(X0) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c16,plain,
( ~ 'ra$uPx3'(X0,X1)
| ~ cbxcomp(X0) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(c18,plain,
( 'ra$uPx2'(X0,sK18(X0))
| ~ cc(X0) ),
inference(clausification,[status(esa)],[axiom_9]) ).
cnf(c20,plain,
( ~ 'ra$uPx2'(X0,X1)
| ~ ccxcomp(X0) ),
inference(clausification,[status(esa)],[axiom_10]) ).
cnf(c22,plain,
( cbxcomp(X0)
| ~ 'ca$uCx1'(X0) ),
inference(clausification,[status(esa)],[axiom_11]) ).
cnf(c23,plain,
( ccxcomp(X0)
| ~ 'ca$uCx1'(X0) ),
inference(clausification,[status(esa)],[axiom_11]) ).
cnf(c30,plain,
( 'ra$uPx6'(X0,sK32(X0))
| 'ca$uCx6'(X0) ),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c31,plain,
( ca(X0)
| ~ 'ca$uCx6xcomp'(X0) ),
inference(clausification,[status(esa)],[axiom_15]) ).
cnf(c32,plain,
( cb(X0)
| ~ 'ca$uCx6xcomp'(X0) ),
inference(clausification,[status(esa)],[axiom_15]) ).
cnf(c35,plain,
( ~ 'ra$uPx6'(X0,X1)
| 'ca$uCx6xcomp'(X0) ),
inference(clausification,[status(esa)],[axiom_16]) ).
cnf(c37,plain,
( ~ 'ra$uPx7'(X0,X1)
| 'ca$uCx7'(X0) ),
inference(clausification,[status(esa)],[axiom_17]) ).
cnf(c38,plain,
( cc(X0)
| ~ 'ca$uCx7xcomp'(X0) ),
inference(clausification,[status(esa)],[axiom_18]) ).
cnf(c39,plain,
( ca(X0)
| ~ 'ca$uCx7xcomp'(X0) ),
inference(clausification,[status(esa)],[axiom_18]) ).
cnf(c42,plain,
( 'ra$uPx7'(X0,sK43(X0))
| 'ca$uCx7xcomp'(X0) ),
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c44,plain,
( 'ra$uPx8'(X0,sK46(X0))
| 'ca$uCx8'(X0) ),
inference(clausification,[status(esa)],[axiom_20]) ).
cnf(c46,plain,
( ~ 'ra$uPx8'(X0,X1)
| 'ca$uCx8xcomp'(X0) ),
inference(clausification,[status(esa)],[axiom_21]) ).
cnf(c47,plain,
( cc(X0)
| ~ 'ca$uCx8xcomp'(X0) ),
inference(clausification,[status(esa)],[axiom_22]) ).
cnf(c48,plain,
( cb(X0)
| ~ 'ca$uCx8xcomp'(X0) ),
inference(clausification,[status(esa)],[axiom_22]) ).
cnf(c50,plain,
cUnsatisfiable('i2003$u11$u14$u17$u20$u50869'),
inference(clausification,[status(esa)],[axiom_23]) ).
cnf(d0,plain,
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[c10,c4]) ).
cnf(d1,plain,
( ~ cb(X0)
| ~ cbxcomp(X0) ),
inference(resolution,[status(thm)],[c16,c13]) ).
cnf(d2,plain,
( ~ cc(X0)
| ~ ccxcomp(X0) ),
inference(resolution,[status(thm)],[c20,c18]) ).
cnf(d3,plain,
( 'ca$uCx7'(X0)
| 'ca$uCx7xcomp'(X0) ),
inference(resolution,[status(thm)],[c42,c37]) ).
cnf(d4,plain,
( 'ca$uCx8xcomp'(X0)
| 'ca$uCx8'(X0) ),
inference(resolution,[status(thm)],[c44,c46]) ).
cnf(d5,plain,
( 'ca$uCx6'(X0)
| 'ca$uCx6xcomp'(X0) ),
inference(resolution,[status(thm)],[c35,c30]) ).
cnf(d6,plain,
( ~ 'ca$uCx8'(X0)
| ~ 'ca$uCx7'(X0)
| cUnsatisfiablexcomp(X0)
| 'ca$uCx6xcomp'(X0) ),
inference(resolution,[status(thm)],[d5,c9]) ).
cnf(d7,plain,
( 'ca$uCx8xcomp'(X0)
| 'ca$uCx6xcomp'(X0)
| ~ 'ca$uCx7'(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
( 'ca$uCx7xcomp'(X0)
| 'ca$uCx8xcomp'(X0)
| 'ca$uCx6xcomp'(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
( cc(X0)
| 'ca$uCx7xcomp'(X0)
| 'ca$uCx6xcomp'(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d8,c47]) ).
cnf(d10,plain,
( cc(X0)
| 'ca$uCx6xcomp'(X0)
| cc(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d9,c38]) ).
cnf(d11,plain,
( ca(X0)
| cc(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d10,c31]) ).
cnf(d12,plain,
( 'ca$uCx1'(X0)
| cc(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d11,c12]) ).
cnf(d13,plain,
( ~ ccxcomp(X0)
| 'ca$uCx1'(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d12,d2]) ).
cnf(d14,plain,
( cb(X0)
| cc(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d10,c32]) ).
cnf(d15,plain,
( ~ ccxcomp(X0)
| cb(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d14,d2]) ).
cnf(d16,plain,
( cb(X0)
| 'ca$uCx7xcomp'(X0)
| 'ca$uCx6xcomp'(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d8,c48]) ).
cnf(d17,plain,
( ca(X0)
| 'ca$uCx6xcomp'(X0)
| cb(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d16,c39]) ).
cnf(d18,plain,
( cb(X0)
| cb(X0)
| ca(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d17,c32]) ).
cnf(d19,plain,
( 'ca$uCx1'(X0)
| cb(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d18,c12]) ).
cnf(d20,plain,
( ccxcomp(X0)
| cb(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d19,c23]) ).
cnf(d21,plain,
( cb(X0)
| cUnsatisfiablexcomp(X0)
| cb(X0)
| cUnsatisfiablexcomp(X0) ),
inference(resolution,[status(thm)],[d20,d15]) ).
cnf(d22,plain,
( ~ cUnsatisfiable(X0)
| cb(X0) ),
inference(resolution,[status(thm)],[d21,d0]) ).
cnf(d23,plain,
cb('i2003$u11$u14$u17$u20$u50869'),
inference(resolution,[status(thm)],[d22,c50]) ).
cnf(d24,plain,
ccxcomp('i2003$u11$u14$u17$u20$u50869'),
inference(resolution,[status(thm)],[d23,c15]) ).
cnf(d25,plain,
( 'ca$uCx1'('i2003$u11$u14$u17$u20$u50869')
| cUnsatisfiablexcomp('i2003$u11$u14$u17$u20$u50869') ),
inference(resolution,[status(thm)],[d24,d13]) ).
cnf(d26,plain,
( cbxcomp('i2003$u11$u14$u17$u20$u50869')
| cUnsatisfiablexcomp('i2003$u11$u14$u17$u20$u50869') ),
inference(resolution,[status(thm)],[d25,c22]) ).
cnf(d27,plain,
( ~ cb('i2003$u11$u14$u17$u20$u50869')
| cUnsatisfiablexcomp('i2003$u11$u14$u17$u20$u50869') ),
inference(resolution,[status(thm)],[d26,d1]) ).
cnf(d28,plain,
cUnsatisfiablexcomp('i2003$u11$u14$u17$u20$u50869'),
inference(resolution,[status(thm)],[d23,d27]) ).
cnf(d29,plain,
~ cUnsatisfiable('i2003$u11$u14$u17$u20$u50869'),
inference(resolution,[status(thm)],[d28,d0]) ).
cnf(d30,plain,
$false,
inference(resolution,[status(thm)],[c50,d29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS104+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
% 0.17/0.43 % Computer : n003.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 19:41:22 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.14/2.60 % SZS status Unsatisfiable for theBenchmark.p
% 16.14/2.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------