%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : BOO012-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 10:39:58 AM UTC 2025
% Result : Unsatisfiable 4.83s 0.94s
% Output : CNFRefutation 4.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_inverse_is_an_involution)
% Comments :
%------------------------------------------------------------------------------
cnf(34,plain,
inverse(inverse(x)) != x,
inference(cnf,[status(esa)],[prove_inverse_is_an_involution]) ).
cnf(l0,plain,
inverse(inverse(x)) != x,
inference(instantiation,[status(thm)],[34]) ).
cnf(21,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[multiplication_is_well_defined]) ).
cnf(l1,plain,
( ~ product(multiplicative_identity,add(inverse(inverse(x)),x),inverse(inverse(x)))
| ~ product(multiplicative_identity,add(inverse(inverse(x)),x),x)
| inverse(inverse(x)) = x ),
inference(instantiation,[status(thm)],[21]) ).
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(l3,plain,
( ~ sum(inverse(x),x,multiplicative_identity)
| ~ sum(inverse(inverse(x)),x,add(inverse(inverse(x)),x))
| ~ sum(additive_identity,x,x)
| ~ product(inverse(x),inverse(inverse(x)),additive_identity)
| product(multiplicative_identity,add(inverse(inverse(x)),x),x) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(4,plain,
sum(additive_identity,X0,X0),
inference(cnf,[status(esa)],[additive_identity1]) ).
cnf(l7,plain,
sum(additive_identity,x,x),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
sum(X0,X1,add(X0,X1)),
inference(cnf,[status(esa)],[closure_of_addition]) ).
cnf(l6,plain,
sum(inverse(inverse(x)),x,add(inverse(inverse(x)),x)),
inference(instantiation,[status(thm)],[0]) ).
cnf(12,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X5,X6)
| ~ product(X1,X3,X5)
| product(X2,X4,X6) ),
inference(cnf,[status(esa)],[distributivity5]) ).
cnf(l2,plain,
( ~ sum(inverse(inverse(x)),inverse(x),multiplicative_identity)
| ~ sum(inverse(inverse(x)),x,add(inverse(inverse(x)),x))
| ~ sum(inverse(inverse(x)),additive_identity,inverse(inverse(x)))
| ~ product(inverse(x),x,additive_identity)
| product(multiplicative_identity,add(inverse(inverse(x)),x),inverse(inverse(x))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(19,plain,
product(X0,inverse(X0),additive_identity),
inference(cnf,[status(esa)],[multiplicative_inverse2]) ).
cnf(l5,plain,
product(inverse(x),inverse(inverse(x)),additive_identity),
inference(instantiation,[status(thm)],[19]) ).
cnf(16,plain,
sum(inverse(X0),X0,multiplicative_identity),
inference(cnf,[status(esa)],[additive_inverse1]) ).
cnf(l4,plain,
sum(inverse(x),x,multiplicative_identity),
inference(instantiation,[status(thm)],[16]) ).
cnf(18,plain,
product(inverse(X0),X0,additive_identity),
inference(cnf,[status(esa)],[multiplicative_inverse1]) ).
cnf(l9,plain,
product(inverse(x),x,additive_identity),
inference(instantiation,[status(thm)],[18]) ).
cnf(l8,plain,
sum(inverse(inverse(x)),x,add(inverse(inverse(x)),x)),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
sum(X0,additive_identity,X0),
inference(cnf,[status(esa)],[additive_identity2]) ).
cnf(l11,plain,
sum(inverse(inverse(x)),additive_identity,inverse(inverse(x))),
inference(instantiation,[status(thm)],[5]) ).
cnf(l10,plain,
sum(inverse(inverse(x)),inverse(x),multiplicative_identity),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l7,l6,l2,l5,l4,l9,l8,l11,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO012-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 04:41:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 4.83/0.94 % SZS status Theorem for theBenchmark
% 4.83/0.94 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------