%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 07:22:04 AM UTC 2026
% Result : Unsatisfiable 13.90s 2.06s
% Output : CNFRefutation 13.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 8 unt; 5 nHn; 16 RR)
% Number of literals : 45 ( 8 equ; 19 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unknown_meaning3,axiom,
( q(X0)
| product(X0,j(X0),h(X0))
| product(j(X0),X0,h(X0)) ) ).
cnf(unknown_meaning4,axiom,
( q(X0)
| ~ product(X0,j(X0),h(X0))
| ~ product(j(X0),X0,h(X0)) ) ).
cnf(prove_identity_is_q,negated_conjecture,
~ q(identity) ).
cnf(left_identity,axiom,
product(identity,X0,X0) ).
cnf(right_identity,axiom,
product(X0,identity,X0) ).
cnf(total_function2,axiom,
( X2 = X3
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ) ).
cnf(c1,plain,
( q(X0)
| product(X0,j(X0),h(X0))
| product(j(X0),X0,h(X0)) ),
inference(clausification,[status(esa)],[unknown_meaning3]) ).
cnf(c2,plain,
( q(X0)
| ~ product(X0,j(X0),h(X0))
| ~ product(j(X0),X0,h(X0)) ),
inference(clausification,[status(esa)],[unknown_meaning4]) ).
cnf(c3,plain,
~ q(identity),
inference(clausification,[status(esa)],[prove_identity_is_q]) ).
cnf(c4,plain,
product(identity,X0,X0),
inference(clausification,[status(esa)],[left_identity]) ).
cnf(c5,plain,
product(X0,identity,X0),
inference(clausification,[status(esa)],[right_identity]) ).
cnf(c9,plain,
( X2 = X3
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[total_function2]) ).
cnf(d0,plain,
( ~ product(identity,X1,X0)
| X0 = X1 ),
inference(resolution,[status(thm)],[c9,c4]) ).
cnf(d1,plain,
( ~ product(X1,identity,X0)
| X0 = X1 ),
inference(resolution,[status(thm)],[c9,c5]) ).
cnf(d2,plain,
( q(identity)
| product(identity,j(identity),h(identity))
| h(identity) = j(identity) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( product(identity,j(identity),h(identity))
| h(identity) = j(identity) ),
inference(resolution,[status(thm)],[c3,d2]) ).
cnf(d4,plain,
( h(identity) = j(identity)
| h(identity) = j(identity) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( q(identity)
| ~ product(identity,j(identity),h(identity))
| ~ product(j(identity),identity,j(identity)) ),
inference(superposition,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
( q(identity)
| ~ product(identity,j(identity),j(identity))
| ~ product(j(identity),identity,j(identity)) ),
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( ~ product(identity,j(identity),j(identity))
| ~ product(j(identity),identity,j(identity)) ),
inference(resolution,[status(thm)],[c3,d6]) ).
cnf(d8,plain,
~ product(j(identity),identity,j(identity)),
inference(resolution,[status(thm)],[c4,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c5,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 14:11:34 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.90/2.06 % SZS status Unsatisfiable for theBenchmark.p
% 13.90/2.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------