%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : BOO011-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 06:54:39 AM UTC 2026
% Result : Unsatisfiable 10.10s 1.67s
% Output : CNFRefutation 10.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 9 ( 8 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_inverse_of_1_is_0,negated_conjecture,
inverse('additive$uidentity') != 'multiplicative$uidentity' ).
cnf(additive_inverse1,axiom,
add(X0,inverse(X0)) = 'multiplicative$uidentity' ).
cnf(additive_id2,axiom,
add('additive$uidentity',X0) = X0 ).
cnf(c0,plain,
inverse('additive$uidentity') != 'multiplicative$uidentity',
inference(clausification,[status(esa)],[prove_inverse_of_1_is_0]) ).
cnf(c7,plain,
add(X0,inverse(X0)) = 'multiplicative$uidentity',
inference(clausification,[status(esa)],[additive_inverse1]) ).
cnf(c14,plain,
add('additive$uidentity',X0) = X0,
inference(clausification,[status(esa)],[additive_id2]) ).
cnf(d0,plain,
'multiplicative$uidentity' = inverse('additive$uidentity'),
inference(superposition,[status(thm)],[c7,c14]) ).
cnf(d1,plain,
'multiplicative$uidentity' != 'multiplicative$uidentity',
inference(demodulation,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
$false,
inference(equality_resolution,[status(thm)],[d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO011-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 22:36:56 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.10/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 10.10/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------