%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG023-6 : 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 : n029.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 03:02:39 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_left_alternative)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
associator(x,x,y) != additive_identity,
inference(cnf,[status(esa)],[prove_left_alternative]) ).
cnf(l0,plain,
associator(x,x,y) != additive_identity,
inference(instantiation,[status(thm)],[15]) ).
cnf(4,plain,
add(additive_inverse(X0),X0) = additive_identity,
inference(cnf,[status(esa)],[left_additive_inverse]) ).
cnf(l3,plain,
add(additive_inverse(multiply(x,multiply(x,y))),multiply(x,multiply(x,y))) = additive_identity,
inference(instantiation,[status(thm)],[4]) ).
cnf(13,plain,
associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
inference(cnf,[status(esa)],[associator]) ).
cnf(l6,plain,
associator(x,x,y) = add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y)))),
inference(instantiation,[status(thm)],[13]) ).
cnf(9,plain,
add(X0,X1) = add(X1,X0),
inference(cnf,[status(esa)],[commutativity_for_addition]) ).
cnf(l7,plain,
add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y)))) = add(additive_inverse(multiply(x,multiply(x,y))),multiply(multiply(x,x),y)),
inference(instantiation,[status(thm)],[9]) ).
cnf(12,plain,
multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
inference(cnf,[status(esa)],[left_alternative]) ).
cnf(l9,plain,
multiply(multiply(x,x),y) = multiply(x,multiply(x,y)),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l6,l7,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG023-6 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 17:28:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------