%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN082+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 09:21:15 AM UTC 2026
% Result : Theorem 3.85s 6.61s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 19 ~; 19 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel60,conjecture,
! [X0] :
( 'big$uf'(X0,f(X0))
<=> ? [X1] :
( 'big$uf'(X0,X1)
& ! [X2] :
( 'big$uf'(X2,X1)
=> 'big$uf'(X2,f(X0)) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'big$uf'(X0,f(X0))
<=> ? [X1] :
( 'big$uf'(X0,X1)
& ! [X2] :
( 'big$uf'(X2,X1)
=> 'big$uf'(X2,f(X0)) ) ) ),
inference(negate_conjecture,[status(cth)],[pel60]) ).
cnf(c1,plain,
( 'big$uf'(X0,f(sK0))
| ~ 'big$uf'(X0,sK3)
| 'big$uf'(sK0,f(sK0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( 'big$uf'(sK0,sK3)
| 'big$uf'(sK0,f(sK0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( ~ 'big$uf'(sK0,f(sK0))
| ~ 'big$uf'(sK0,X0)
| 'big$uf'(sK2(X0),X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
( 'big$uf'(sK0,sK3)
| ~ 'big$uf'(sK0,X0)
| 'big$uf'(sK2(X0),X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c6,plain,
( ~ 'big$uf'(sK0,f(sK0))
| ~ 'big$uf'(sK0,X0)
| ~ 'big$uf'(sK2(X0),f(sK0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'big$uf'(sK0,sK3)
| 'big$uf'(sK0,f(sK0)) ),
inference(factoring,[status(thm)],[c1]) ).
cnf(d1,plain,
( ~ 'big$uf'(sK0,sK3)
| 'big$uf'(sK2(X0),X0)
| ~ 'big$uf'(sK0,X0) ),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
( ~ 'big$uf'(sK0,sK3)
| ~ 'big$uf'(sK0,f(sK0))
| ~ 'big$uf'(sK0,f(sK0))
| ~ 'big$uf'(sK0,f(sK0)) ),
inference(resolution,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
( 'big$uf'(sK0,sK3)
| ~ 'big$uf'(sK0,f(sK0))
| ~ 'big$uf'(sK0,f(sK0))
| ~ 'big$uf'(sK0,f(sK0)) ),
inference(resolution,[status(thm)],[c6,c5]) ).
cnf(d4,plain,
( 'big$uf'(sK0,sK3)
| 'big$uf'(sK0,sK3) ),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
~ 'big$uf'(sK0,f(sK0)),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
'big$uf'(sK0,f(sK0)),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN082+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.35 % Computer : n016.cluster.edu
% 0.09/5.35 % Model : x86_64 x86_64
% 0.09/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.35 % Memory : 8046.5625MB
% 0.09/5.35 % OS : Linux 6.8.0-71-generic
% 0.09/5.35 % CPULimit : 300
% 0.09/5.35 % WCLimit : 300
% 0.09/5.35 % DateTime : Sat Sep 26 17:15:36 UTC 2026
% 0.09/5.35 % CPUTime :
% 0.09/5.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.85/6.61 % SZS status Theorem for theBenchmark.p
% 3.85/6.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------