%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP521-1 : 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 : n029.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 06:27:30 PM UTC 2025
% Result : Unsatisfiable 197.00s 25.06s
% Output : CNFRefutation 197.00s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_these_axioms_1)
% Comments :
%------------------------------------------------------------------------------
cnf(3,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)],[3]) ).
cnf(1,plain,
multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf,[status(esa)],[multiply]) ).
cnf(l7,plain,
multiply(inverse(b1),b1) = divide(inverse(b1),divide(divide(X2_7,X2_7),b1)),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
inference(cnf,[status(esa)],[single_axiom]) ).
cnf(l9,plain,
divide(X0_317,divide(X1_317,divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(X0_317,X1_317)))) = divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l306,plain,
divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))) = a1,
inference(instantiation,[status(thm)],[0]) ).
cnf(l305,plain,
divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))) = a1,
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf,[status(esa)],[inverse]) ).
cnf(l308,plain,
inverse(divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))) = divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l311,plain,
multiply(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))) = divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l317,plain,
divide(X0_317,divide(X1_317,divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(X0_317,X1_317)))) = divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l322,plain,
divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X2_7,X2_7),b1),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))))))) = divide(divide(X2_7,X2_7),b1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l319,plain,
inverse(b1) = divide(divide(X2_7,X2_7),b1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l328,plain,
multiply(divide(divide(X2_7,X2_7),b1),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X2_7,X2_7),b1),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))))))) = divide(divide(divide(X2_7,X2_7),b1),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X2_7,X2_7),b1),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l316,plain,
divide(divide(divide(X2_7,X2_7),b1),divide(divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))))),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X2_7,X2_7),b1),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))))))))) = divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l323,plain,
multiply(divide(divide(X2_7,X2_7),b1),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X2_7,X2_7),b1),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))))))) = divide(divide(divide(X2_7,X2_7),b1),divide(divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))))),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X2_7,X2_7),b1),divide(divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305)))))),divide(divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))),divide(divide(X1_308,X1_308),divide(X0_305,divide(X1_305,divide(a1,divide(X0_305,X1_305))))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l7,l9,l306,l305,l308,l311,l317,l322,l319,l328,l316,l323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GRP521-1 : TPTP v9.0.0. Released v2.6.0.
% 0.04/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.30 % Computer : n029.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Sun Jul 20 15:37:19 EDT 2025
% 0.08/0.30 % CPUTime :
% 0.08/0.30 % launching worker at depth: 1
% 0.08/0.30 % launching worker at depth: 2
% 0.08/0.30 % launching worker at depth: 3
% 0.08/0.30 % launching worker at depth: 4
% 0.08/0.30 % launching worker at depth: 5
% 0.08/0.30 % launching worker at depth: 6
% 0.08/0.30 % launching worker at depth: 7
% 0.08/0.30 % launching worker at depth: 8
% 0.08/0.30 % launching worker at depth: 9
% 0.14/0.32 % launching worker at depth: 10
% 0.14/0.32 % launching worker at depth: 11
% 2.63/0.67 % launching worker at depth: 12
% 197.00/25.06 % SZS status Theorem for theBenchmark
% 197.00/25.06 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------