%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO494+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 07:15:17 AM UTC 2026
% Result : Theorem 31.17s 21.12s
% Output : CNFRefutation 31.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 75 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 81 ( 40 ~; 38 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-4 aty)
% Number of variables : 104 ( 2 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz2_1,axiom,
! [X0,X1] : 's$ue'(X0,X1,X0,X1) ).
fof(aSatz2_2,axiom,
! [X0,X1,X2,X3] :
( 's$ue'(X2,X3,X0,X1)
| ~ 's$ue'(X0,X1,X2,X3) ) ).
fof(aSatz3_6b,axiom,
! [X0,X1,X2,X3] :
( 's$ut'(X0,X1,X3)
| ~ 's$ut'(X0,X2,X3)
| ~ 's$ut'(X0,X1,X2) ) ).
fof(aSatz5_5a,axiom,
! [X0,X1,X2,X3] :
( ( ins(X2,X3,X0,X1) = ext(X0,X1,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) )
& ( 's$ue'(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) )
& ( 's$ut'(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ) ) ).
fof(aSatz5_5b,axiom,
! [X0,X1,X2,X3,X4] :
( ~ 's$ue'(X0,X4,X2,X3)
| ~ 's$ut'(X0,X1,X4)
| le(X0,X1,X2,X3) ) ).
fof(aSatz5_6,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( le(X4,X5,X6,X7)
| ~ 's$ue'(X2,X3,X6,X7)
| ~ 's$ue'(X0,X1,X4,X5)
| ~ le(X0,X1,X2,X3) ) ).
fof(aA4,axiom,
! [X0,X1,X2,X3] :
( 's$ue'(X1,ext(X0,X1,X2,X3),X2,X3)
& 's$ut'(X0,X1,ext(X0,X1,X2,X3)) ) ).
fof(aSatz5_8,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( le(X0,X1,X4,X5)
| ~ le(X2,X3,X4,X5)
| ~ le(X0,X1,X2,X3) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( le(X0,X1,X4,X5)
| ~ le(X2,X3,X4,X5)
| ~ le(X0,X1,X2,X3) ),
inference(negate_conjecture,[status(cth)],[aSatz5_8]) ).
cnf(c0,plain,
's$ue'(X0,X1,X0,X1),
inference(clausification,[status(esa)],[aSatz2_1]) ).
cnf(c1,plain,
( 's$ue'(X2,X3,X0,X1)
| ~ 's$ue'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[aSatz2_2]) ).
cnf(c19,plain,
( ~ 's$ut'(X0,X2,X3)
| 's$ut'(X0,X1,X3)
| ~ 's$ut'(X0,X1,X2) ),
inference(clausification,[status(esa)],[aSatz3_6b]) ).
cnf(c49,plain,
( 's$ut'(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[aSatz5_5a]) ).
cnf(c50,plain,
( ext(X0,X1,insert(X0,X1,X2,X3),X3) = ins(X2,X3,X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[aSatz5_5a]) ).
cnf(c51,plain,
( 's$ue'(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[aSatz5_5a]) ).
cnf(c52,plain,
( ~ 's$ut'(X0,X1,X4)
| ~ 's$ue'(X0,X4,X2,X3)
| le(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[aSatz5_5b]) ).
cnf(c53,plain,
( ~ 's$ue'(X0,X1,X6,X7)
| le(X6,X7,X4,X5)
| ~ 's$ue'(X2,X3,X4,X5)
| ~ le(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[aSatz5_6]) ).
cnf(c89,plain,
's$ut'(X0,X1,ext(X0,X1,X2,X3)),
inference(clausification,[status(esa)],[aA4]) ).
cnf(c98,plain,
le(sK269,sK270,sK271,sK272),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c99,plain,
~ le(sK269,sK270,sK273,sK274),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c100,plain,
le(sK271,sK272,sK273,sK274),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( le(X2,X3,X0,X1)
| ~ 's$ue'(sK271,sK272,X2,X3)
| ~ 's$ue'(sK273,sK274,X0,X1) ),
inference(resolution,[status(thm)],[c53,c100]) ).
cnf(d1,plain,
( le(X0,X1,sK273,sK274)
| ~ 's$ue'(sK271,sK272,X0,X1) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( 's$ue'(X2,X3,X0,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c51,c1]) ).
cnf(d3,plain,
( le(X0,ins(sK271,sK272,X0,X1),sK273,sK274)
| ~ le(X0,X1,sK271,sK272) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ le(X0,X4,X2,X3)
| le(X0,X1,X2,X3)
| ~ 's$ut'(X0,X1,ins(X2,X3,X0,X4)) ),
inference(resolution,[status(thm)],[c52,c51]) ).
cnf(d5,plain,
ext(sK269,sK270,insert(sK269,sK270,sK271,sK272),sK272) = ins(sK271,sK272,sK269,sK270),
inference(resolution,[status(thm)],[c50,c98]) ).
cnf(d6,plain,
's$ut'(sK269,sK270,ins(sK271,sK272,sK269,sK270)),
inference(superposition,[status(thm)],[d5,c89]) ).
cnf(d7,plain,
( 's$ut'(sK269,sK270,X0)
| ~ 's$ut'(sK269,ins(sK271,sK272,sK269,sK270),X0) ),
inference(resolution,[status(thm)],[d6,c19]) ).
cnf(d8,plain,
( ~ le(sK269,ins(sK271,sK272,sK269,sK270),X0,X1)
| 's$ut'(sK269,sK270,ins(X0,X1,sK269,ins(sK271,sK272,sK269,sK270))) ),
inference(resolution,[status(thm)],[d7,c49]) ).
cnf(d9,plain,
( le(sK269,sK270,X0,X1)
| ~ le(sK269,ins(sK271,sK272,sK269,sK270),X0,X1)
| ~ le(sK269,ins(sK271,sK272,sK269,sK270),X0,X1) ),
inference(resolution,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
( ~ le(sK269,sK270,sK271,sK272)
| le(sK269,sK270,sK273,sK274) ),
inference(resolution,[status(thm)],[d9,d3]) ).
cnf(d11,plain,
le(sK269,sK270,sK273,sK274),
inference(resolution,[status(thm)],[c98,d10]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c99,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO494+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/15.39 % Computer : n006.cluster.edu
% 0.10/15.39 % Model : x86_64 x86_64
% 0.10/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.39 % Memory : 8046.5625MB
% 0.10/15.39 % OS : Linux 6.8.0-71-generic
% 0.10/15.39 % CPULimit : 300
% 0.10/15.39 % WCLimit : 300
% 0.10/15.39 % DateTime : Fri Sep 25 13:35:59 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.17/21.12 % SZS status Theorem for theBenchmark.p
% 31.17/21.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------