%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP003-1 : 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 : n031.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 06:26:35 PM UTC 2025
% Result : Unsatisfiable 0.18s 0.34s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_there_is_a_right_identity)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
~ product(a,identity,a),
inference(cnf,[status(esa)],[prove_there_is_a_right_identity]) ).
cnf(l0,plain,
~ product(a,identity,a),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,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)),identity,a)
| ~ product(identity,identity,identity)
| product(a,identity,a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l3,plain,
product(identity,identity,identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity1]) ).
cnf(l4,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)],[2]) ).
cnf(l6,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[1]) ).
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)],[2]) ).
cnf(0,plain,
product(inverse(X0),X0,identity),
inference(cnf,[status(esa)],[left_inverse]) ).
cnf(l13,plain,
product(inverse(inverse(a)),inverse(a),identity),
inference(instantiation,[status(thm)],[0]) ).
cnf(l11,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
product(inverse(a),a,identity),
inference(instantiation,[status(thm)],[0]) ).
cnf(l12,plain,
product(inverse(a),a,identity),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
product(inverse(inverse(a)),inverse(a),identity),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l6,l2,l13,l11,l9,l12,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP003-1 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 13:23:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.18/0.34 % launching worker at depth: 10
% 0.18/0.34 % SZS status Theorem for theBenchmark
% 0.18/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------