%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG041-1 : 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 : n027.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 : Fri Jul 25 03:02:43 PM UTC 2025
% Result : Unsatisfiable 31.19s 4.26s
% Output : CNFRefutation 31.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named a_times_b)
% Comments :
%------------------------------------------------------------------------------
cnf(23,plain,
product(a,b,additive_identity),
inference(cnf,[status(esa)],[a_times_b]) ).
cnf(l0,plain,
product(a,b,additive_identity),
inference(instantiation,[status(thm)],[23]) ).
cnf(10,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity_of_multiplication2]) ).
cnf(l1,plain,
( ~ product(a,b,additive_identity)
| ~ product(a,multiplicative_identity,a)
| ~ product(b,h(b),multiplicative_identity)
| product(additive_identity,h(b),a) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(16,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[multiplication_is_well_defined]) ).
cnf(l5,plain,
( ~ product(additive_identity,h(b),a)
| ~ product(additive_identity,h(b),additive_identity)
| a = additive_identity ),
inference(instantiation,[status(thm)],[16]) ).
cnf(24,plain,
a != additive_identity,
inference(cnf,[status(esa)],[a_not_additive_identity]) ).
cnf(l14,plain,
a != additive_identity,
inference(instantiation,[status(thm)],[24]) ).
cnf(19,plain,
product(X0,multiplicative_identity,X0),
inference(cnf,[status(esa)],[right_multiplicative_identity]) ).
cnf(l20,plain,
product(a,multiplicative_identity,a),
inference(instantiation,[status(thm)],[19]) ).
cnf(17,plain,
product(additive_identity,X0,additive_identity),
inference(cnf,[status(esa)],[multiplicative_identity1]) ).
cnf(l7,plain,
product(additive_identity,h(b),additive_identity),
inference(instantiation,[status(thm)],[17]) ).
cnf(21,plain,
( product(X0,h(X0),multiplicative_identity)
| X0 = additive_identity ),
inference(cnf,[status(esa)],[clause41]) ).
cnf(l18,plain,
( product(b,h(b),multiplicative_identity)
| b = additive_identity ),
inference(instantiation,[status(thm)],[21]) ).
cnf(25,plain,
b != additive_identity,
inference(cnf,[status(esa)],[prove_b_is_additive_identity]) ).
cnf(l19,plain,
b != additive_identity,
inference(instantiation,[status(thm)],[25]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l14,l20,l7,l18,l19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : RNG041-1 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.25 % Computer : n027.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Jul 21 17:41:04 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.29 % launching worker at depth: 10
% 31.19/4.26 % SZS status Theorem for theBenchmark
% 31.19/4.26 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------