%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : BOO011-2 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 10:39:58 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_inverse_of_1_is_0)
% Comments :
%------------------------------------------------------------------------------
cnf(14,plain,
inverse(additive_identity) != multiplicative_identity,
inference(cnf,[status(esa)],[prove_inverse_of_1_is_0]) ).
cnf(l0,plain,
inverse(additive_identity) != multiplicative_identity,
inference(instantiation,[status(thm)],[14]) ).
cnf(13,plain,
add(additive_identity,X0) = X0,
inference(cnf,[status(esa)],[additive_id2]) ).
cnf(l6,plain,
add(additive_identity,inverse(additive_identity)) = inverse(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(7,plain,
add(inverse(X0),X0) = multiplicative_identity,
inference(cnf,[status(esa)],[additive_inverse2]) ).
cnf(l5,plain,
add(inverse(additive_identity),additive_identity) = multiplicative_identity,
inference(instantiation,[status(thm)],[7]) ).
cnf(0,plain,
add(X0,X1) = add(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_add]) ).
cnf(l7,plain,
add(inverse(additive_identity),additive_identity) = add(additive_identity,inverse(additive_identity)),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l6,l5,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO011-2 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n018.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 04:40:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 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: 2
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 1
% 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: 4
% 0.13/0.35 % launching worker at depth: 9
% 0.20/0.35 % launching worker at depth: 10
% 0.20/0.35 % SZS status Theorem for theBenchmark
% 0.20/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------