%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP008-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 06:26:36 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_identity_is_q)
% Comments :
%------------------------------------------------------------------------------
cnf(11,plain,
~ q(identity),
inference(cnf,[status(esa)],[prove_identity_is_q]) ).
cnf(l0,plain,
~ q(identity),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
( ~ product(X0,j(X0),h(X0))
| ~ product(j(X0),X0,h(X0))
| q(X0) ),
inference(cnf,[status(esa)],[unknown_meaning4]) ).
cnf(l1,plain,
( ~ product(identity,j(identity),h(identity))
| ~ product(j(identity),identity,h(identity))
| q(identity) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(6,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity1]) ).
cnf(l2,plain,
( ~ product(identity,j(identity),j(identity))
| ~ product(j(identity),identity,j(identity))
| ~ product(j(identity),identity,h(identity))
| product(identity,j(identity),h(identity)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l3,plain,
product(identity,j(identity),j(identity)),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
product(X0,identity,X0),
inference(cnf,[status(esa)],[right_identity]) ).
cnf(l5,plain,
product(j(identity),identity,j(identity)),
inference(instantiation,[status(thm)],[1]) ).
cnf(7,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity2]) ).
cnf(l4,plain,
( ~ product(identity,j(identity),j(identity))
| ~ product(identity,j(identity),h(identity))
| ~ product(j(identity),identity,j(identity))
| product(j(identity),identity,h(identity)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
( product(X0,j(X0),h(X0))
| product(j(X0),X0,h(X0))
| q(X0) ),
inference(cnf,[status(esa)],[unknown_meaning3]) ).
cnf(l6,plain,
( product(identity,j(identity),h(identity))
| product(j(identity),identity,h(identity))
| q(identity) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l10,plain,
( product(identity,j(identity),h(identity))
| product(j(identity),identity,h(identity))
| q(identity) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l9,plain,
product(identity,j(identity),j(identity)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
product(j(identity),identity,j(identity)),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l4,l6,l10,l9,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP008-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 13:24:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------