%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG001-3 : 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 : 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 : Fri Jul 25 03:02:35 PM UTC 2025
% Result : Unsatisfiable 12.31s 1.93s
% Output : CNFRefutation 12.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_times_additive_id_is_additive_id)
% Comments :
%------------------------------------------------------------------------------
cnf(7,plain,
~ product(a,additive_identity,additive_identity),
inference(cnf,[status(esa)],[prove_a_times_additive_id_is_additive_id]) ).
cnf(l0,plain,
~ product(a,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[7]) ).
cnf(6,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X6,X0,X3)
| ~ product(X6,X1,X4)
| product(X6,X2,X5) ),
inference(cnf,[status(esa)],[distributivity2]) ).
cnf(l1,plain,
( ~ sum(additive_inverse(X0_2),X0_2,additive_identity)
| ~ sum(multiply(a,additive_inverse(X0_2)),multiply(a,X0_2),additive_identity)
| ~ product(a,additive_inverse(X0_2),multiply(a,additive_inverse(X0_2)))
| ~ product(a,X0_2,multiply(a,X0_2))
| product(a,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
product(X0,X1,multiply(X0,X1)),
inference(cnf,[status(esa)],[closure_of_multiplication]) ).
cnf(l4,plain,
product(a,X0_2,multiply(a,X0_2)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l74,plain,
product(a,additive_inverse(X0_2),multiply(a,additive_inverse(X0_2))),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity_of_addition1]) ).
cnf(l3,plain,
( ~ sum(multiply(a,additive_inverse(X0_2)),additive_inverse(multiply(a,additive_inverse(X0_2))),additive_identity)
| ~ sum(additive_inverse(multiply(a,additive_inverse(X0_2))),multiply(a,additive_identity),multiply(a,X0_2))
| ~ sum(additive_identity,multiply(a,additive_identity),additive_identity)
| sum(multiply(a,additive_inverse(X0_2)),multiply(a,X0_2),additive_identity) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
sum(additive_inverse(X0),X0,additive_identity),
inference(cnf,[status(esa)],[additive_inverse1]) ).
cnf(l2,plain,
sum(additive_inverse(X0_2),X0_2,additive_identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(l8,plain,
( ~ sum(additive_inverse(multiply(a,additive_inverse(X0_2))),multiply(a,additive_inverse(X0_2)),additive_identity)
| ~ sum(multiply(a,additive_inverse(X0_2)),multiply(a,X0_2),multiply(a,additive_identity))
| ~ sum(additive_identity,multiply(a,X0_2),multiply(a,X0_2))
| sum(additive_inverse(multiply(a,additive_inverse(X0_2))),multiply(a,additive_identity),multiply(a,X0_2)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X1,X5,X3)
| sum(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity_of_addition2]) ).
cnf(l16,plain,
( ~ sum(additive_inverse(additive_inverse(multiply(a,additive_inverse(X0_2)))),additive_identity,multiply(a,additive_inverse(X0_2)))
| ~ sum(additive_inverse(additive_inverse(multiply(a,additive_inverse(X0_2)))),additive_inverse(multiply(a,additive_inverse(X0_2))),additive_identity)
| ~ sum(additive_identity,additive_inverse(multiply(a,additive_inverse(X0_2))),additive_inverse(multiply(a,additive_inverse(X0_2))))
| sum(multiply(a,additive_inverse(X0_2)),additive_inverse(multiply(a,additive_inverse(X0_2))),additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l60,plain,
sum(additive_inverse(additive_inverse(multiply(a,additive_inverse(X0_2)))),additive_inverse(multiply(a,additive_inverse(X0_2))),additive_identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity)
| ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity)
| ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity))
| sum(additive_identity,multiply(a,additive_identity),additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l29,plain,
( ~ sum(additive_inverse(additive_inverse(multiply(a,additive_inverse(X0_2)))),additive_inverse(multiply(a,additive_inverse(X0_2))),additive_identity)
| ~ sum(additive_inverse(multiply(a,additive_inverse(X0_2))),multiply(a,additive_inverse(X0_2)),additive_identity)
| ~ sum(additive_identity,multiply(a,additive_inverse(X0_2)),multiply(a,additive_inverse(X0_2)))
| sum(additive_inverse(additive_inverse(multiply(a,additive_inverse(X0_2)))),additive_identity,multiply(a,additive_inverse(X0_2))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
sum(additive_identity,X0,X0),
inference(cnf,[status(esa)],[additive_identity1]) ).
cnf(l122,plain,
sum(additive_identity,multiply(a,additive_inverse(X0_2)),multiply(a,additive_inverse(X0_2))),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
( ~ sum(X0,X1,X2)
| ~ product(X3,X0,X4)
| ~ product(X3,X1,X5)
| ~ product(X3,X2,X6)
| sum(X4,X5,X6) ),
inference(cnf,[status(esa)],[distributivity1]) ).
cnf(l320,plain,
( ~ sum(additive_inverse(X0_2),X0_2,additive_identity)
| ~ product(a,additive_inverse(X0_2),multiply(a,additive_inverse(X0_2)))
| ~ product(a,X0_2,multiply(a,X0_2))
| ~ product(a,additive_identity,multiply(a,additive_identity))
| sum(multiply(a,additive_inverse(X0_2)),multiply(a,X0_2),multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l324,plain,
product(a,X0_2,multiply(a,X0_2)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l13,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ product(a,additive_identity,multiply(a,additive_identity))
| sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l327,plain,
sum(additive_inverse(X0_2),X0_2,additive_identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(l69,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l325,plain,
product(a,additive_inverse(X0_2),multiply(a,additive_inverse(X0_2))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l21,plain,
sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(l149,plain,
sum(additive_inverse(multiply(a,additive_inverse(X0_2))),multiply(a,additive_inverse(X0_2)),additive_identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(l335,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l19,plain,
sum(additive_identity,additive_inverse(multiply(a,additive_inverse(X0_2))),additive_inverse(multiply(a,additive_inverse(X0_2)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l328,plain,
sum(additive_inverse(multiply(a,additive_inverse(X0_2))),multiply(a,additive_inverse(X0_2)),additive_identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(l47,plain,
sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(l28,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[0]) ).
cnf(l55,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l322,plain,
sum(additive_identity,multiply(a,X0_2),multiply(a,X0_2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l43,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l123,plain,
sum(additive_inverse(additive_inverse(multiply(a,additive_inverse(X0_2)))),additive_inverse(multiply(a,additive_inverse(X0_2))),additive_identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l74,l3,l2,l8,l16,l60,l5,l29,l122,l320,l324,l13,l327,l69,l325,l21,l149,l335,l19,l328,l47,l28,l55,l322,l43,l123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG001-3 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 : Mon Jul 21 17:18:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 1
% 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: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 2.34/0.63 % launching worker at depth: 12
% 12.31/1.93 % SZS status Theorem for theBenchmark
% 12.31/1.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------