%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP537-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 06:27:32 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_these_axioms_1)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf,[status(esa)],[prove_these_axioms_1]) ).
cnf(l0,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf,[status(esa)],[inverse]) ).
cnf(l11,plain,
inverse(b1) = divide(divide(X2_15,X2_15),b1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l10,plain,
inverse(a1) = divide(divide(inverse(b1),inverse(b1)),a1),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf,[status(esa)],[multiply]) ).
cnf(l15,plain,
multiply(inverse(b1),b1) = divide(inverse(b1),divide(divide(X2_15,X2_15),b1)),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
inference(cnf,[status(esa)],[single_axiom]) ).
cnf(l6,plain,
divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),inverse(b1))),a1)) = divide(inverse(b1),inverse(b1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
multiply(divide(divide(inverse(b1),inverse(b1)),a1),a1) = divide(divide(divide(inverse(b1),inverse(b1)),a1),divide(divide(divide(inverse(b1),inverse(b1)),divide(inverse(b1),inverse(b1))),a1)),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l11,l10,l15,l6,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP537-1 : TPTP v9.0.0. Released v2.6.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 15:39:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 0.19/0.65 % SZS status Theorem for theBenchmark
% 0.19/0.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------