%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP540-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 06:27:32 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_these_axioms_4)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
multiply(a,b) != multiply(b,a),
inference(cnf,[status(esa)],[prove_these_axioms_4]) ).
cnf(l0,plain,
multiply(a,b) != multiply(b,a),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
inference(cnf,[status(esa)],[single_axiom]) ).
cnf(l10,plain,
divide(divide(b,divide(divide(b,b),a)),divide(divide(b,a),divide(divide(b,b),a))) = a,
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
divide(divide(b,a),divide(divide(b,b),a)) = b,
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf,[status(esa)],[multiply]) ).
cnf(l14,plain,
multiply(b,a) = divide(b,divide(divide(b,b),a)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l11,plain,
divide(divide(divide(b,divide(divide(b,b),a)),divide(divide(b,a),divide(divide(b,b),a))),divide(divide(divide(b,divide(divide(b,b),a)),divide(b,divide(divide(b,b),a))),divide(divide(b,a),divide(divide(b,b),a)))) = divide(b,divide(divide(b,b),a)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
multiply(divide(divide(b,divide(divide(b,b),a)),divide(divide(b,a),divide(divide(b,b),a))),divide(divide(b,a),divide(divide(b,b),a))) = divide(divide(divide(b,divide(divide(b,b),a)),divide(divide(b,a),divide(divide(b,b),a))),divide(divide(divide(b,divide(divide(b,b),a)),divide(b,divide(divide(b,b),a))),divide(divide(b,a),divide(divide(b,b),a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l10,l9,l14,l11,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP540-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 15:40:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 5
% 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: 7
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 6
% 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
% 0.13/0.34 % launching worker at depth: 11
% 0.19/0.37 % SZS status Theorem for theBenchmark
% 0.19/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------