%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET047+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 08:31:45 AM UTC 2026
% Result : Theorem 8.40s 6.86s
% Output : CNFRefutation 8.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 30 ( 4 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 90 ( 30 ~; 56 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel43_1,axiom,
! [X0,X1] :
( 'set$uequal'(X0,X1)
<=> ! [X2] :
( element(X2,X0)
<=> element(X2,X1) ) ) ).
fof(pel43,conjecture,
! [X0,X1] :
( 'set$uequal'(X0,X1)
<=> 'set$uequal'(X1,X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( 'set$uequal'(X0,X1)
<=> 'set$uequal'(X1,X0) ),
inference(negate_conjecture,[status(cth)],[pel43]) ).
cnf(c0,plain,
( element(X2,X1)
| ~ element(X2,X0)
| ~ 'set$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[pel43_1]) ).
cnf(c1,plain,
( ~ element(X2,X1)
| element(X2,X0)
| ~ 'set$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[pel43_1]) ).
cnf(c3,plain,
( element(sK3(X0,X1),X1)
| element(sK3(X0,X1),X0)
| 'set$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[pel43_1]) ).
cnf(c4,plain,
( ~ element(sK3(X0,X1),X0)
| ~ element(sK3(X0,X1),X1)
| 'set$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[pel43_1]) ).
cnf(c7,plain,
( 'set$uequal'(sK5,sK4)
| 'set$uequal'(sK4,sK5) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
( ~ 'set$uequal'(sK4,sK5)
| ~ 'set$uequal'(sK5,sK4) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( element(sK3(X0,X1),X2)
| ~ 'set$uequal'(X2,X0)
| element(sK3(X0,X1),X1)
| 'set$uequal'(X0,X1) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d1,plain,
( element(sK3(X1,X0),X0)
| 'set$uequal'(X1,X0)
| ~ 'set$uequal'(X0,X1) ),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
( element(sK3(X0,X1),X2)
| ~ 'set$uequal'(X1,X2)
| element(sK3(X0,X1),X0)
| 'set$uequal'(X0,X1) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d3,plain,
( element(sK3(X2,X0),X3)
| ~ 'set$uequal'(X3,X1)
| element(sK3(X2,X0),X2)
| 'set$uequal'(X2,X0)
| ~ 'set$uequal'(X0,X1) ),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
( 'set$uequal'(sK4,sK5)
| element(sK3(X1,sK5),X1)
| element(sK3(X1,sK5),X0)
| 'set$uequal'(X1,sK5)
| ~ 'set$uequal'(X0,sK4) ),
inference(resolution,[status(thm)],[d3,c7]) ).
cnf(d5,plain,
( element(sK3(X0,sK5),X0)
| 'set$uequal'(sK4,sK5)
| ~ 'set$uequal'(X0,sK4)
| 'set$uequal'(X0,sK5) ),
inference(factoring,[status(thm)],[d4]) ).
cnf(d6,plain,
( ~ element(sK3(X0,sK5),sK5)
| 'set$uequal'(X0,sK5)
| 'set$uequal'(sK4,sK5)
| 'set$uequal'(X0,sK5)
| ~ 'set$uequal'(X0,sK4) ),
inference(resolution,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
( ~ 'set$uequal'(sK5,X0)
| 'set$uequal'(X0,sK5)
| 'set$uequal'(sK4,sK5)
| 'set$uequal'(X0,sK5)
| ~ 'set$uequal'(X0,sK4) ),
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
( 'set$uequal'(sK4,sK5)
| 'set$uequal'(sK4,sK5)
| 'set$uequal'(sK4,sK5)
| ~ 'set$uequal'(sK4,sK4) ),
inference(resolution,[status(thm)],[d7,c7]) ).
cnf(d9,plain,
( element(sK3(X0,X0),X0)
| 'set$uequal'(X0,X0) ),
inference(factoring,[status(thm)],[c3]) ).
cnf(d10,plain,
( ~ element(sK3(X0,X0),X0)
| 'set$uequal'(X0,X0)
| 'set$uequal'(X0,X0) ),
inference(resolution,[status(thm)],[d9,c4]) ).
cnf(d11,plain,
( 'set$uequal'(X0,X0)
| 'set$uequal'(X0,X0) ),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
'set$uequal'(sK4,sK5),
inference(resolution,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
( element(sK3(X1,sK4),X1)
| element(sK3(X1,sK4),X0)
| 'set$uequal'(X1,sK4)
| ~ 'set$uequal'(X0,sK5) ),
inference(resolution,[status(thm)],[d12,d3]) ).
cnf(d14,plain,
( element(sK3(X0,sK4),X0)
| ~ 'set$uequal'(X0,sK5)
| 'set$uequal'(X0,sK4) ),
inference(factoring,[status(thm)],[d13]) ).
cnf(d15,plain,
( ~ element(sK3(X0,sK4),sK4)
| 'set$uequal'(X0,sK4)
| ~ 'set$uequal'(X0,sK5)
| 'set$uequal'(X0,sK4) ),
inference(resolution,[status(thm)],[d14,c4]) ).
cnf(d16,plain,
( ~ 'set$uequal'(sK4,X0)
| 'set$uequal'(X0,sK4)
| ~ 'set$uequal'(X0,sK5)
| 'set$uequal'(X0,sK4) ),
inference(resolution,[status(thm)],[d15,d1]) ).
cnf(d17,plain,
( ~ 'set$uequal'(sK5,sK5)
| 'set$uequal'(sK5,sK4) ),
inference(resolution,[status(thm)],[d16,d12]) ).
cnf(d18,plain,
'set$uequal'(sK5,sK4),
inference(resolution,[status(thm)],[d11,d17]) ).
cnf(d19,plain,
~ 'set$uequal'(sK5,sK4),
inference(resolution,[status(thm)],[d12,c8]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[d19,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET047+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.37 % Computer : n009.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.37 % CPULimit : 300
% 0.12/5.37 % WCLimit : 300
% 0.12/5.37 % DateTime : Sat Sep 26 06:59:49 UTC 2026
% 0.12/5.37 % CPUTime :
% 0.12/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.40/6.86 % SZS status Theorem for theBenchmark.p
% 8.40/6.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------