%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD030-4 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 11:55:20 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.30s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named product_5)
% Comments :
%------------------------------------------------------------------------------
cnf(30,plain,
product(a,b,c),
inference(cnf,[status(esa)],[product_5]) ).
cnf(l0,plain,
product(a,b,c),
inference(instantiation,[status(thm)],[30]) ).
cnf(6,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity_multiplication_2]) ).
cnf(l1,plain,
( ~ product(a,multiplicative_identity,d)
| ~ product(a,b,c)
| ~ product(multiplicative_identity,b,b)
| product(d,b,c) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(9,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_multiplication]) ).
cnf(l4,plain,
( ~ product(multiplicative_identity,a,d)
| product(a,multiplicative_identity,d) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(32,plain,
~ product(d,b,c),
inference(cnf,[status(esa)],[not_product_7]) ).
cnf(l23,plain,
~ product(d,b,c),
inference(instantiation,[status(thm)],[32]) ).
cnf(7,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_multiplication]) ).
cnf(l6,plain,
( ~ defined(b)
| product(multiplicative_identity,b,b) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(31,plain,
product(multiplicative_identity,a,d),
inference(cnf,[status(esa)],[product_6]) ).
cnf(l11,plain,
product(multiplicative_identity,a,d),
inference(instantiation,[status(thm)],[31]) ).
cnf(27,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l9,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l23,l6,l11,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : FLD030-4 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.01/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.25 % Computer : n021.cluster.edu
% 0.08/0.25 % Model : x86_64 x86_64
% 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25 % Memory : 8042.1875MB
% 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25 % CPULimit : 300
% 0.08/0.25 % WCLimit : 300
% 0.08/0.25 % DateTime : Sun Jul 20 09:39:49 EDT 2025
% 0.08/0.25 % CPUTime :
% 0.08/0.26 % launching worker at depth: 1
% 0.08/0.26 % launching worker at depth: 3
% 0.08/0.26 % launching worker at depth: 2
% 0.08/0.26 % launching worker at depth: 4
% 0.08/0.26 % launching worker at depth: 5
% 0.08/0.26 % launching worker at depth: 6
% 0.08/0.26 % launching worker at depth: 7
% 0.08/0.26 % launching worker at depth: 8
% 0.11/0.26 % launching worker at depth: 9
% 0.11/0.26 % launching worker at depth: 10
% 0.11/0.30 % SZS status Theorem for theBenchmark
% 0.11/0.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------