%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD025-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 282.11s 35.74s
% Output : CNFRefutation 282.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named product_5)
% Comments :
%------------------------------------------------------------------------------
cnf(30,plain,
product(multiplicative_identity,a,b),
inference(cnf,[status(esa)],[product_5]) ).
cnf(l0,plain,
product(multiplicative_identity,a,b),
inference(instantiation,[status(thm)],[30]) ).
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(c,multiplicative_identity,c)
| ~ product(multiplicative_identity,a,b)
| ~ product(c,a,multiply(a,c))
| product(c,b,multiply(a,c)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(9,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_multiplication]) ).
cnf(l4,plain,
( ~ product(multiplicative_identity,c,c)
| product(c,multiplicative_identity,c) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l6,plain,
( ~ product(a,c,multiply(a,c))
| product(c,a,multiply(a,c)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(19,plain,
( ~ defined(X0)
| ~ defined(X1)
| product(X0,X1,multiply(X0,X1)) ),
inference(cnf,[status(esa)],[totality_of_multiplication]) ).
cnf(l9,plain,
( ~ defined(a)
| ~ defined(c)
| product(a,c,multiply(a,c)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(7,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_multiplication]) ).
cnf(l15,plain,
( ~ defined(c)
| product(multiplicative_identity,c,c) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l16,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l96,plain,
( ~ product(multiplicative_identity,c,c)
| ~ product(c,b,multiply(a,c))
| ~ product(c,b,multiply(a,c))
| product(multiplicative_identity,multiply(a,c),multiply(a,c)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(28,plain,
defined(c),
inference(cnf,[status(esa)],[c_is_defined]) ).
cnf(l52,plain,
defined(c),
inference(instantiation,[status(thm)],[28]) ).
cnf(l10,plain,
defined(c),
inference(instantiation,[status(thm)],[28]) ).
cnf(l98,plain,
( ~ defined(c)
| product(multiplicative_identity,c,c) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l100,plain,
defined(c),
inference(instantiation,[status(thm)],[28]) ).
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(l97,plain,
( ~ product(multiplicative_identity,c,d)
| ~ product(multiplicative_identity,multiply(a,c),multiply(a,c))
| ~ product(c,b,multiply(a,c))
| product(d,b,multiply(a,c)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(31,plain,
product(multiplicative_identity,c,d),
inference(cnf,[status(esa)],[product_6]) ).
cnf(l105,plain,
product(multiplicative_identity,c,d),
inference(instantiation,[status(thm)],[31]) ).
cnf(32,plain,
~ product(d,b,multiply(a,c)),
inference(cnf,[status(esa)],[not_product_7]) ).
cnf(l101,plain,
~ product(d,b,multiply(a,c)),
inference(instantiation,[status(thm)],[32]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l6,l9,l15,l16,l96,l52,l10,l98,l100,l97,l105,l101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : FLD025-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 09:38:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 2.39/0.69 % launching worker at depth: 11
% 282.11/35.74 % SZS status Theorem for theBenchmark
% 282.11/35.74 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------