%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD025-5 : 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 : n032.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 11:55:18 AM UTC 2025
% Result : Unsatisfiable 72.46s 9.42s
% Output : CNFRefutation 72.46s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named product_7)
% Comments :
%------------------------------------------------------------------------------
cnf(32,plain,
product(multiplicative_identity,a,b),
inference(cnf,[status(esa)],[product_7]) ).
cnf(l0,plain,
product(multiplicative_identity,a,b),
inference(instantiation,[status(thm)],[32]) ).
cnf(5,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity_multiplication_1]) ).
cnf(l1,plain,
( ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| ~ product(multiplicative_identity,a,b)
| ~ product(multiplicative_identity,a,b)
| product(multiplicative_identity,b,b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(9,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_multiplication]) ).
cnf(l172,plain,
( ~ product(multiplicative_identity,b,b)
| product(b,multiplicative_identity,b) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(7,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_multiplication]) ).
cnf(l4,plain,
( ~ defined(multiplicative_identity)
| product(multiplicative_identity,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(16,plain,
defined(multiplicative_identity),
inference(cnf,[status(esa)],[well_definedness_of_multiplicative_identity]) ).
cnf(l28,plain,
defined(multiplicative_identity),
inference(instantiation,[status(thm)],[16]) ).
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(l229,plain,
( ~ product(b,multiplicative_identity,b)
| ~ product(b,d,v)
| ~ product(multiplicative_identity,c,d)
| product(b,c,v) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(33,plain,
product(multiplicative_identity,c,d),
inference(cnf,[status(esa)],[product_8]) ).
cnf(l246,plain,
product(multiplicative_identity,c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(l282,plain,
( ~ product(multiplicative_identity,a,b)
| ~ product(a,c,u)
| ~ product(b,c,v)
| product(multiplicative_identity,u,v) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(36,plain,
~ product(multiplicative_identity,u,v),
inference(cnf,[status(esa)],[not_product_11]) ).
cnf(l323,plain,
~ product(multiplicative_identity,u,v),
inference(instantiation,[status(thm)],[36]) ).
cnf(l241,plain,
( ~ product(d,b,v)
| product(b,d,v) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(34,plain,
product(a,c,u),
inference(cnf,[status(esa)],[product_9]) ).
cnf(l283,plain,
product(a,c,u),
inference(instantiation,[status(thm)],[34]) ).
cnf(35,plain,
product(d,b,v),
inference(cnf,[status(esa)],[product_10]) ).
cnf(l248,plain,
product(d,b,v),
inference(instantiation,[status(thm)],[35]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l172,l4,l28,l229,l246,l282,l323,l241,l283,l248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : FLD025-5 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sun Jul 20 09:37:49 EDT 2025
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % launching worker at depth: 1
% 0.09/0.28 % launching worker at depth: 7
% 0.09/0.28 % launching worker at depth: 4
% 0.09/0.28 % launching worker at depth: 3
% 0.09/0.28 % launching worker at depth: 5
% 0.09/0.28 % launching worker at depth: 6
% 0.09/0.28 % launching worker at depth: 8
% 0.09/0.28 % launching worker at depth: 2
% 0.13/0.28 % launching worker at depth: 9
% 0.13/0.29 % launching worker at depth: 10
% 5.12/0.99 % launching worker at depth: 11
% 72.46/9.42 % SZS status Theorem for theBenchmark
% 72.46/9.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------