%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP006-1 : 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 06:26:36 PM UTC 2025
% Result : Unsatisfiable 0.14s 0.34s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_b_inverse_is_in_set)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
~ an_element(inverse(the_element)),
inference(cnf,[status(esa)],[prove_b_inverse_is_in_set]) ).
cnf(l0,plain,
~ an_element(inverse(the_element)),
inference(instantiation,[status(thm)],[8]) ).
cnf(4,plain,
( ~ an_element(X0)
| ~ an_element(X1)
| ~ product(X0,inverse(X1),X2)
| an_element(X2) ),
inference(cnf,[status(esa)],[condition]) ).
cnf(l1,plain,
( ~ an_element(identity)
| ~ an_element(the_element)
| ~ product(identity,inverse(the_element),inverse(the_element))
| an_element(inverse(the_element)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l2,plain,
( ~ an_element(the_element)
| ~ an_element(the_element)
| ~ product(the_element,inverse(the_element),identity)
| an_element(identity) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(6,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity2]) ).
cnf(l3,plain,
( ~ product(inverse(the_element),inverse(inverse(the_element)),identity)
| ~ product(inverse(the_element),identity,inverse(the_element))
| ~ product(inverse(inverse(the_element)),inverse(the_element),identity)
| product(identity,inverse(the_element),inverse(the_element)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
an_element(the_element),
inference(cnf,[status(esa)],[element_of_set]) ).
cnf(l11,plain,
an_element(the_element),
inference(instantiation,[status(thm)],[7]) ).
cnf(3,plain,
product(inverse(X0),X0,identity),
inference(cnf,[status(esa)],[left_inverse]) ).
cnf(l5,plain,
product(inverse(inverse(the_element)),inverse(the_element),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
product(X0,inverse(X0),identity),
inference(cnf,[status(esa)],[right_inverse]) ).
cnf(l7,plain,
product(inverse(the_element),inverse(inverse(the_element)),identity),
inference(instantiation,[status(thm)],[2]) ).
cnf(l4,plain,
an_element(the_element),
inference(instantiation,[status(thm)],[7]) ).
cnf(1,plain,
product(X0,identity,X0),
inference(cnf,[status(esa)],[right_identity]) ).
cnf(l6,plain,
product(inverse(the_element),identity,inverse(the_element)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l12,plain,
an_element(the_element),
inference(instantiation,[status(thm)],[7]) ).
cnf(l13,plain,
product(the_element,inverse(the_element),identity),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l11,l5,l7,l4,l6,l12,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP006-1 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.33 % Computer : n031.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun Jul 20 13:24:19 EDT 2025
% 0.14/0.33 % CPUTime :
% 0.14/0.33 % launching worker at depth: 1
% 0.14/0.33 % launching worker at depth: 4
% 0.14/0.33 % launching worker at depth: 2
% 0.14/0.33 % launching worker at depth: 3
% 0.14/0.33 % launching worker at depth: 5
% 0.14/0.33 % launching worker at depth: 6
% 0.14/0.33 % launching worker at depth: 7
% 0.14/0.33 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 9
% 0.14/0.34 % launching worker at depth: 10
% 0.14/0.34 % SZS status Theorem for theBenchmark
% 0.14/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------