%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP004-2 : 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 0.13s 0.32s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_right_inverse)
% Comments :
%------------------------------------------------------------------------------
cnf(7,plain,
~ product(a,inverse(a),identity),
inference(cnf,[status(esa)],[prove_right_inverse]) ).
cnf(l0,plain,
~ product(a,inverse(a),identity),
inference(instantiation,[status(thm)],[7]) ).
cnf(5,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity2]) ).
cnf(l1,plain,
( ~ product(inverse(inverse(a)),identity,a)
| ~ product(inverse(inverse(a)),inverse(a),identity)
| ~ product(identity,inverse(a),inverse(a))
| product(a,inverse(a),identity) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity1]) ).
cnf(l2,plain,
( ~ product(inverse(inverse(a)),inverse(a),identity)
| ~ product(inverse(a),a,identity)
| ~ product(identity,a,a)
| product(inverse(inverse(a)),identity,a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
product(inverse(X0),X0,identity),
inference(cnf,[status(esa)],[left_inverse]) ).
cnf(l3,plain,
product(inverse(inverse(a)),inverse(a),identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
product(inverse(inverse(a)),inverse(a),identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l7,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
product(inverse(a),a,identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
product(identity,inverse(a),inverse(a)),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l10,l7,l5,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : GRP004-2 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28 % Computer : n023.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun Jul 20 13:24:04 EDT 2025
% 0.08/0.28 % CPUTime :
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 4
% 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: 6
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 9
% 0.08/0.29 % launching worker at depth: 10
% 0.13/0.32 % SZS status Theorem for theBenchmark
% 0.13/0.32 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------