%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : BOO006-4 : TPTP v9.0.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n022.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 10:39:57 AM UTC 2025
% Result : Unsatisfiable 226.20s 28.86s
% Output : CNFRefutation 226.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_right_identity)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
multiply(a,additive_identity) != additive_identity,
inference(cnf,[status(esa)],[prove_right_identity]) ).
cnf(l0,plain,
multiply(a,additive_identity) != additive_identity,
inference(instantiation,[status(thm)],[8]) ).
cnf(3,plain,
multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf,[status(esa)],[distributivity2]) ).
cnf(l6,plain,
multiply(a,add(inverse(a),additive_identity)) = add(multiply(a,inverse(a)),multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[3]) ).
cnf(7,plain,
multiply(X0,inverse(X0)) = additive_identity,
inference(cnf,[status(esa)],[multiplicative_inverse1]) ).
cnf(l8,plain,
multiply(a,inverse(a)) = additive_identity,
inference(instantiation,[status(thm)],[7]) ).
cnf(0,plain,
add(X0,X1) = add(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_add]) ).
cnf(l21,plain,
add(additive_identity,multiply(a,additive_identity)) = add(multiply(a,additive_identity),additive_identity),
inference(instantiation,[status(thm)],[0]) ).
cnf(l17,plain,
multiply(a,inverse(a)) = additive_identity,
inference(instantiation,[status(thm)],[7]) ).
cnf(4,plain,
add(X0,additive_identity) = X0,
inference(cnf,[status(esa)],[additive_id1]) ).
cnf(l14,plain,
add(inverse(a),additive_identity) = inverse(a),
inference(instantiation,[status(thm)],[4]) ).
cnf(l20,plain,
add(multiply(a,additive_identity),additive_identity) = multiply(a,additive_identity),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l6,l8,l21,l17,l14,l20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : BOO006-4 : TPTP v9.0.0. Released v1.1.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 04:37:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 6.04/1.14 % launching worker at depth: 12
% 226.20/28.86 % SZS status Theorem for theBenchmark
% 226.20/28.86 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------