%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP042-2 : 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 : n017.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 06:26:43 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_symmetry)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
~ equalish(b,a),
inference(cnf,[status(esa)],[prove_symmetry]) ).
cnf(l0,plain,
~ equalish(b,a),
inference(instantiation,[status(thm)],[8]) ).
cnf(3,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf,[status(esa)],[total_function2]) ).
cnf(l1,plain,
( ~ product(identity,a,b)
| ~ product(identity,a,a)
| equalish(b,a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l4,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
( ~ product(X0,X1,X2)
| ~ equalish(X2,X3)
| product(X0,X1,X3) ),
inference(cnf,[status(esa)],[product_substitution3]) ).
cnf(l2,plain,
( ~ product(identity,a,a)
| ~ equalish(a,b)
| product(identity,a,b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
equalish(a,b),
inference(cnf,[status(esa)],[a_equals_b]) ).
cnf(l5,plain,
equalish(a,b),
inference(instantiation,[status(thm)],[7]) ).
cnf(l3,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l5,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP042-2 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun Jul 20 13:32:04 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % launching worker at depth: 1
% 0.12/0.32 % launching worker at depth: 5
% 0.12/0.32 % launching worker at depth: 2
% 0.12/0.32 % launching worker at depth: 8
% 0.12/0.32 % launching worker at depth: 4
% 0.12/0.32 % launching worker at depth: 7
% 0.12/0.32 % launching worker at depth: 3
% 0.12/0.32 % launching worker at depth: 6
% 0.12/0.32 % launching worker at depth: 9
% 0.12/0.32 % launching worker at depth: 10
% 0.12/0.33 % SZS status Theorem for theBenchmark
% 0.12/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------