%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP192-1 : 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 : n012.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 07:23:24 AM UTC 2026
% Result : Unsatisfiable 15.39s 2.25s
% Output : CNFRefutation 15.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 3 RR)
% Number of literals : 23 ( 22 equ; 2 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p40a_1,hypothesis,
'least$uupper$ubound'(identity,X0) = X0 ).
cnf(prove_p40a,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(left_identity,axiom,
multiply(identity,X0) = X0 ).
cnf(left_inverse,axiom,
multiply(inverse(X0),X0) = identity ).
cnf(symmetry_of_glb,axiom,
'greatest$ulower$ubound'(X0,X1) = 'greatest$ulower$ubound'(X1,X0) ).
cnf(lub_absorbtion,axiom,
'least$uupper$ubound'(X0,'greatest$ulower$ubound'(X0,X1)) = X0 ).
cnf(monotony_glb2,axiom,
multiply('greatest$ulower$ubound'(X0,X1),X2) = 'greatest$ulower$ubound'(multiply(X0,X2),multiply(X1,X2)) ).
cnf(c0,plain,
'least$uupper$ubound'(identity,X0) = X0,
inference(clausification,[status(esa)],[p40a_1]) ).
cnf(c1,plain,
multiply(a,b) != multiply(b,a),
inference(clausification,[status(esa)],[prove_p40a]) ).
cnf(c2,plain,
multiply(identity,X0) = X0,
inference(clausification,[status(esa)],[left_identity]) ).
cnf(c3,plain,
multiply(inverse(X0),X0) = identity,
inference(clausification,[status(esa)],[left_inverse]) ).
cnf(c5,plain,
'greatest$ulower$ubound'(X0,X1) = 'greatest$ulower$ubound'(X1,X0),
inference(clausification,[status(esa)],[symmetry_of_glb]) ).
cnf(c11,plain,
'least$uupper$ubound'(X0,'greatest$ulower$ubound'(X0,X1)) = X0,
inference(clausification,[status(esa)],[lub_absorbtion]) ).
cnf(c16,plain,
multiply('greatest$ulower$ubound'(X0,X1),X2) = 'greatest$ulower$ubound'(multiply(X0,X2),multiply(X1,X2)),
inference(clausification,[status(esa)],[monotony_glb2]) ).
cnf(d0,plain,
identity = 'greatest$ulower$ubound'(identity,X0),
inference(superposition,[status(thm)],[c11,c0]) ).
cnf(d1,plain,
'greatest$ulower$ubound'(X0,identity) = identity,
inference(superposition,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
multiply('greatest$ulower$ubound'(identity,X1),X0) = 'greatest$ulower$ubound'(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c2,c16]) ).
cnf(d3,plain,
multiply(identity,X1) = 'greatest$ulower$ubound'(X1,multiply(X0,X1)),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
X0 = 'greatest$ulower$ubound'(X0,multiply(X1,X0)),
inference(demodulation,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
X0 = 'greatest$ulower$ubound'(X0,identity),
inference(superposition,[status(thm)],[c3,d4]) ).
cnf(d6,plain,
X0 = identity,
inference(superposition,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
X1 = X0,
inference(superposition,[status(thm)],[d6,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP192-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Fri Sep 25 14:36:40 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.39/2.25 % SZS status Unsatisfiable for theBenchmark.p
% 15.39/2.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------