%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP012-1 : 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 : n020.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 06:26:37 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_c_multiply_d_is_identity)
% Comments :
%------------------------------------------------------------------------------
cnf(10,plain,
~ product(c,d,identity),
inference(cnf,[status(esa)],[prove_c_multiply_d_is_identity]) ).
cnf(l0,plain,
~ product(c,d,identity),
inference(instantiation,[status(thm)],[10]) ).
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(l1,plain,
( ~ product(multiply(a,identity),b,c)
| ~ product(multiply(a,identity),inverse(a),identity)
| ~ product(b,d,inverse(a))
| product(c,d,identity) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l2,plain,
( ~ product(a,identity,multiply(a,identity))
| ~ product(a,b,c)
| ~ product(identity,b,b)
| product(multiply(a,identity),b,c) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
product(a,b,c),
inference(cnf,[status(esa)],[a_multiply_b_is_c]) ).
cnf(l10,plain,
product(a,b,c),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,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(b,inverse(b),identity)
| ~ product(inverse(b),inverse(a),d)
| ~ product(identity,inverse(a),inverse(a))
| product(b,d,inverse(a)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
product(X0,X1,multiply(X0,X1)),
inference(cnf,[status(esa)],[total_function1]) ).
cnf(l7,plain,
product(a,identity,multiply(a,identity)),
inference(instantiation,[status(thm)],[4]) ).
cnf(9,plain,
product(inverse(b),inverse(a),d),
inference(cnf,[status(esa)],[inverse_b_multiply_inverse_a_is_d]) ).
cnf(l12,plain,
product(inverse(b),inverse(a),d),
inference(instantiation,[status(thm)],[9]) ).
cnf(l3,plain,
( ~ product(a,identity,multiply(a,identity))
| ~ product(a,inverse(a),identity)
| ~ product(identity,inverse(a),inverse(a))
| product(multiply(a,identity),inverse(a),identity) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(3,plain,
product(X0,inverse(X0),identity),
inference(cnf,[status(esa)],[right_inverse]) ).
cnf(l11,plain,
product(a,inverse(a),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(l14,plain,
product(b,inverse(b),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(l8,plain,
product(a,identity,multiply(a,identity)),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l9,plain,
product(identity,inverse(a),inverse(a)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l13,plain,
product(identity,inverse(a),inverse(a)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
product(identity,b,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l10,l4,l7,l12,l3,l11,l14,l8,l9,l13,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP012-1 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 13:24:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------