%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN079+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 : n005.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 8.88s 1.61s
% Output : CNFRefutation 8.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 3 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel57_1,axiom,
'big$uf'(f(a,b),f(b,c)) ).
fof(pel57_2,axiom,
'big$uf'(f(b,c),f(a,c)) ).
fof(pel57_3,axiom,
! [X0,X1,X2] :
( ( 'big$uf'(X1,X2)
& 'big$uf'(X0,X1) )
=> 'big$uf'(X0,X2) ) ).
fof(pel57,conjecture,
'big$uf'(f(a,b),f(a,c)) ).
fof(negated_conjecture,negated_conjecture,
~ 'big$uf'(f(a,b),f(a,c)),
inference(negate_conjecture,[status(cth)],[pel57]) ).
cnf(c0,plain,
'big$uf'(f(a,b),f(b,c)),
inference(clausification,[status(esa)],[pel57_1]) ).
cnf(c1,plain,
'big$uf'(f(b,c),f(a,c)),
inference(clausification,[status(esa)],[pel57_2]) ).
cnf(c2,plain,
( 'big$uf'(X0,X2)
| ~ 'big$uf'(X1,X2)
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[pel57_3]) ).
cnf(c3,plain,
~ 'big$uf'(f(a,b),f(a,c)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'big$uf'(f(a,b),X0)
| ~ 'big$uf'(f(b,c),X0) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
'big$uf'(f(a,b),f(a,c)),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN079+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
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 17:10:01 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.88/1.61 % SZS status Theorem for theBenchmark.p
% 8.88/1.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------