%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET767+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:33:12 AM UTC 2026
% Result : Theorem 22.30s 5.95s
% Output : CNFRefutation 22.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 4 ~; 3 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 2 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subset,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ) ).
fof(equivalence_class,axiom,
! [X0,X1,X2,X3] :
( member(X3,'equivalence$uclass'(X2,X1,X0))
<=> ( apply(X0,X2,X3)
& member(X3,X1) ) ) ).
fof(thIII03,conjecture,
! [X0,X1,X2] :
( equivalence(X1,X0)
=> subset('equivalence$uclass'(X2,X0,X1),X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( equivalence(X1,X0)
=> subset('equivalence$uclass'(X2,X0,X1),X0) ),
inference(negate_conjecture,[status(cth)],[thIII03]) ).
cnf(c1,plain,
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[subset]) ).
cnf(c2,plain,
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[subset]) ).
cnf(c60,plain,
( member(X0,X2)
| ~ member(X0,'equivalence$uclass'(X1,X2,X3)) ),
inference(clausification,[status(esa)],[equivalence_class]) ).
cnf(c74,plain,
~ subset('equivalence$uclass'(sK83,sK81,sK82),sK81),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
member(sK3('equivalence$uclass'(sK83,sK81,sK82),sK81),'equivalence$uclass'(sK83,sK81,sK82)),
inference(resolution,[status(thm)],[c1,c74]) ).
cnf(d1,plain,
member(sK3('equivalence$uclass'(sK83,sK81,sK82),sK81),sK81),
inference(resolution,[status(thm)],[c60,d0]) ).
cnf(d2,plain,
subset('equivalence$uclass'(sK83,sK81,sK82),sK81),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c74,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET767+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 08:09:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.30/5.95 % SZS status Theorem for theBenchmark.p
% 22.30/5.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------