%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP007-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.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 06:26:36 PM UTC 2025
% Result : Unsatisfiable 0.08s 0.29s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_identity_equals_c)
% Comments :
%------------------------------------------------------------------------------
cnf(10,plain,
identity != c,
inference(cnf,[status(esa)],[prove_identity_equals_c]) ).
cnf(l0,plain,
identity != c,
inference(instantiation,[status(thm)],[10]) ).
cnf(5,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[total_function2]) ).
cnf(l1,plain,
( ~ product(identity,c,identity)
| ~ product(identity,c,c)
| identity = c ),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l3,plain,
product(identity,c,c),
inference(instantiation,[status(thm)],[0]) ).
cnf(9,plain,
product(X0,c,X0),
inference(cnf,[status(esa)],[another_right_identity]) ).
cnf(l2,plain,
product(identity,c,identity),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP007-1 : TPTP v9.0.0. Released v1.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n023.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun Jul 20 13:24:19 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 9
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % SZS status Theorem for theBenchmark
% 0.08/0.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------