%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP009-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 0.17s 0.41s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_equals_c)
% Comments :
%------------------------------------------------------------------------------
cnf(10,plain,
a != c,
inference(cnf,[status(esa)],[prove_a_equals_c]) ).
cnf(l0,plain,
a != 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,inverse(b),a)
| ~ product(identity,inverse(b),c)
| a = c ),
inference(instantiation,[status(thm)],[5]) ).
cnf(7,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity2]) ).
cnf(l2,plain,
( ~ product(a,b,identity)
| ~ product(a,identity,a)
| ~ product(b,inverse(b),identity)
| product(identity,inverse(b),a) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
product(a,b,identity),
inference(cnf,[status(esa)],[a_is_an_inverse_of_b]) ).
cnf(l3,plain,
product(a,b,identity),
inference(instantiation,[status(thm)],[8]) ).
cnf(l4,plain,
( ~ product(c,b,identity)
| ~ product(c,identity,c)
| ~ product(b,inverse(b),identity)
| product(identity,inverse(b),c) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(1,plain,
product(X0,identity,X0),
inference(cnf,[status(esa)],[right_identity]) ).
cnf(l5,plain,
product(a,identity,a),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
product(X0,inverse(X0),identity),
inference(cnf,[status(esa)],[right_inverse]) ).
cnf(l9,plain,
product(b,inverse(b),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(l6,plain,
product(b,inverse(b),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(l8,plain,
product(c,identity,c),
inference(instantiation,[status(thm)],[1]) ).
cnf(9,plain,
product(c,b,identity),
inference(cnf,[status(esa)],[c_is_an_inverse_of_b]) ).
cnf(l7,plain,
product(c,b,identity),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l9,l6,l8,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15 % Problem : GRP009-1 : TPTP v9.0.0. Released v1.0.0.
% 0.10/0.16 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.38 % Computer : n018.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Sun Jul 20 13:24:34 EDT 2025
% 0.17/0.39 % CPUTime :
% 0.17/0.39 % launching worker at depth: 1
% 0.17/0.39 % launching worker at depth: 2
% 0.17/0.39 % launching worker at depth: 3
% 0.17/0.39 % launching worker at depth: 4
% 0.17/0.39 % launching worker at depth: 5
% 0.17/0.39 % launching worker at depth: 6
% 0.17/0.39 % launching worker at depth: 7
% 0.17/0.39 % launching worker at depth: 8
% 0.17/0.39 % launching worker at depth: 9
% 0.17/0.41 % launching worker at depth: 10
% 0.17/0.41 % SZS status Theorem for theBenchmark
% 0.17/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------