%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP541-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 59.64s 7.85s
% Output : CNFRefutation 59.64s
% 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(1,plain,
multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(cnf,[status(esa)],[multiply]) ).
cnf(l21,plain,
multiply(inverse(a1),a1) = divide(inverse(a1),divide(identity,a1)),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
inverse(X0) = divide(identity,X0),
inference(cnf,[status(esa)],[inverse]) ).
cnf(l19,plain,
inverse(a1) = divide(identity,a1),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
identity = divide(X0,X0),
inference(cnf,[status(esa)],[identity]) ).
cnf(l11,plain,
identity = divide(inverse(a1),inverse(a1)),
inference(instantiation,[status(thm)],[3]) ).
cnf(l13,plain,
identity = divide(inverse(b1),inverse(b1)),
inference(instantiation,[status(thm)],[3]) ).
cnf(l29,plain,
multiply(inverse(b1),b1) = divide(inverse(b1),divide(identity,b1)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l31,plain,
inverse(b1) = divide(identity,b1),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l21,l19,l11,l13,l29,l31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP541-1 : TPTP v9.0.0. Released v2.6.0.
% 0.10/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Jul 20 15:40:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.14/0.35 % launching worker at depth: 11
% 2.45/0.67 % launching worker at depth: 12
% 59.64/7.85 % SZS status Theorem for theBenchmark
% 59.64/7.85 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------