%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : BOO006-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 10:39:56 AM UTC 2025
% Result : Unsatisfiable 8.25s 1.34s
% Output : CNFRefutation 8.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_equations)
% Comments :
%------------------------------------------------------------------------------
cnf(22,plain,
~ product(x,additive_identity,additive_identity),
inference(cnf,[status(esa)],[prove_equations]) ).
cnf(l0,plain,
~ product(x,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[22]) ).
cnf(14,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ sum(X5,X1,X6)
| ~ product(X0,X3,X5)
| product(X2,X4,X6) ),
inference(cnf,[status(esa)],[distributivity7]) ).
cnf(l1,plain,
( ~ sum(x,additive_identity,x)
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(multiply(additive_identity,x),additive_identity,additive_identity)
| ~ product(x,additive_identity,multiply(additive_identity,x))
| product(x,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(2,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_of_addition]) ).
cnf(l2,plain,
( ~ sum(additive_identity,x,x)
| sum(x,additive_identity,x) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(10,plain,
( ~ sum(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ product(X2,X3,X6)
| sum(X4,X5,X6) ),
inference(cnf,[status(esa)],[distributivity3]) ).
cnf(l6,plain,
( ~ sum(inverse(inverse(additive_identity)),additive_identity,inverse(inverse(additive_identity)))
| ~ product(inverse(inverse(additive_identity)),inverse(additive_identity),additive_identity)
| ~ product(additive_identity,inverse(additive_identity),additive_identity)
| ~ product(inverse(inverse(additive_identity)),inverse(additive_identity),additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(19,plain,
product(X0,inverse(X0),additive_identity),
inference(cnf,[status(esa)],[multiplicative_inverse2]) ).
cnf(l9,plain,
product(additive_identity,inverse(additive_identity),additive_identity),
inference(instantiation,[status(thm)],[19]) ).
cnf(18,plain,
product(inverse(X0),X0,additive_identity),
inference(cnf,[status(esa)],[multiplicative_inverse1]) ).
cnf(l21,plain,
product(inverse(inverse(additive_identity)),inverse(additive_identity),additive_identity),
inference(instantiation,[status(thm)],[18]) ).
cnf(4,plain,
sum(additive_identity,X0,X0),
inference(cnf,[status(esa)],[additive_identity1]) ).
cnf(l11,plain,
sum(additive_identity,x,x),
inference(instantiation,[status(thm)],[4]) ).
cnf(l18,plain,
product(inverse(inverse(additive_identity)),inverse(additive_identity),additive_identity),
inference(instantiation,[status(thm)],[18]) ).
cnf(3,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_of_multiplication]) ).
cnf(l4,plain,
( ~ product(additive_identity,x,multiply(additive_identity,x))
| product(x,additive_identity,multiply(additive_identity,x)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
sum(X0,additive_identity,X0),
inference(cnf,[status(esa)],[additive_identity2]) ).
cnf(l19,plain,
sum(inverse(inverse(additive_identity)),additive_identity,inverse(inverse(additive_identity))),
inference(instantiation,[status(thm)],[5]) ).
cnf(l3,plain,
( ~ sum(additive_identity,inverse(x),inverse(x))
| ~ product(additive_identity,x,multiply(additive_identity,x))
| ~ product(inverse(x),x,additive_identity)
| ~ product(inverse(x),x,additive_identity)
| sum(multiply(additive_identity,x),additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(1,plain,
product(X0,X1,multiply(X0,X1)),
inference(cnf,[status(esa)],[closure_of_multiplication]) ).
cnf(l8,plain,
product(additive_identity,x,multiply(additive_identity,x)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l15,plain,
product(inverse(x),x,additive_identity),
inference(instantiation,[status(thm)],[18]) ).
cnf(l17,plain,
sum(additive_identity,inverse(x),inverse(x)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l5,plain,
product(inverse(x),x,additive_identity),
inference(instantiation,[status(thm)],[18]) ).
cnf(l16,plain,
product(additive_identity,x,multiply(additive_identity,x)),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l9,l21,l11,l18,l4,l19,l3,l8,l15,l17,l5,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : BOO006-1 : TPTP v9.0.0. Released v1.0.0.
% 0.02/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 04:37:54 EDT 2025
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % launching worker at depth: 5
% 0.09/0.28 % launching worker at depth: 1
% 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: 6
% 0.09/0.28 % launching worker at depth: 2
% 0.09/0.28 % launching worker at depth: 7
% 0.09/0.28 % launching worker at depth: 8
% 0.09/0.28 % launching worker at depth: 9
% 0.09/0.29 % launching worker at depth: 10
% 8.25/1.34 % SZS status Theorem for theBenchmark
% 8.25/1.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------