%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM003-1 : 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 : n026.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 12:27:28 PM UTC 2025
% Result : Unsatisfiable 8.24s 1.42s
% Output : CNFRefutation 8.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_equation)
% Comments :
%------------------------------------------------------------------------------
cnf(12,plain,
~ equalish(add(a,subtract(b,c)),add(subtract(a,c),b)),
inference(cnf,[status(esa)],[prove_equation]) ).
cnf(l0,plain,
~ equalish(add(a,subtract(b,c)),add(subtract(a,c),b)),
inference(instantiation,[status(thm)],[12]) ).
cnf(8,plain,
( ~ equalish(X0,X1)
| ~ equalish(X2,add(X0,X3))
| equalish(X2,add(X1,X3)) ),
inference(cnf,[status(esa)],[add_substitution1]) ).
cnf(l1,plain,
( ~ equalish(add(subtract(b,c),subtract(a,b)),subtract(a,c))
| ~ equalish(add(a,subtract(b,c)),add(add(subtract(b,c),subtract(a,b)),b))
| equalish(add(a,subtract(b,c)),add(subtract(a,c),b)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(10,plain,
( ~ equalish(X0,X1)
| ~ equalish(X2,subtract(X0,X3))
| equalish(X2,subtract(X1,X3)) ),
inference(cnf,[status(esa)],[subtract_substitution1]) ).
cnf(l2,plain,
( ~ equalish(add(subtract(a,b),b),a)
| ~ equalish(add(subtract(b,c),subtract(a,b)),subtract(add(subtract(a,b),b),c))
| equalish(add(subtract(b,c),subtract(a,b)),subtract(a,c)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(1,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity]) ).
cnf(l7,plain,
( ~ equalish(add(subtract(a,b),b),subtract(add(a,b),b))
| ~ equalish(subtract(add(a,b),b),a)
| equalish(add(subtract(a,b),b),a) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( ~ equalish(add(b,subtract(a,b)),add(subtract(a,b),b))
| ~ equalish(add(subtract(b,c),subtract(a,b)),subtract(add(b,subtract(a,b)),c))
| equalish(add(subtract(b,c),subtract(a,b)),subtract(add(subtract(a,b),b),c)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(4,plain,
equalish(subtract(add(X0,X1),X1),X0),
inference(cnf,[status(esa)],[addition_inverts_subtraction1]) ).
cnf(l10,plain,
equalish(subtract(add(a,b),b),a),
inference(instantiation,[status(thm)],[4]) ).
cnf(l3,plain,
( ~ equalish(subtract(add(a,subtract(b,c)),b),add(subtract(b,c),subtract(a,b)))
| ~ equalish(add(a,subtract(b,c)),add(subtract(add(a,subtract(b,c)),b),b))
| equalish(add(a,subtract(b,c)),add(add(subtract(b,c),subtract(a,b)),b)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l5,plain,
( ~ equalish(add(a,subtract(b,c)),subtract(add(add(a,subtract(b,c)),b),b))
| ~ equalish(subtract(add(add(a,subtract(b,c)),b),b),add(subtract(add(a,subtract(b,c)),b),b))
| equalish(add(a,subtract(b,c)),add(subtract(add(a,subtract(b,c)),b),b)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
equalish(add(subtract(X0,X1),X2),subtract(add(X0,X2),X1)),
inference(cnf,[status(esa)],[commutativity1]) ).
cnf(l9,plain,
equalish(add(subtract(a,b),b),subtract(add(a,b),b)),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)),
inference(cnf,[status(esa)],[commutativity2]) ).
cnf(l13,plain,
equalish(subtract(add(add(a,subtract(b,c)),b),b),add(subtract(add(a,subtract(b,c)),b),b)),
inference(instantiation,[status(thm)],[7]) ).
cnf(l6,plain,
( ~ equalish(subtract(add(a,subtract(b,c)),b),add(subtract(a,b),subtract(b,c)))
| ~ equalish(add(subtract(a,b),subtract(b,c)),add(subtract(b,c),subtract(a,b)))
| equalish(subtract(add(a,subtract(b,c)),b),add(subtract(b,c),subtract(a,b))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
equalish(add(X0,X1),add(X1,X0)),
inference(cnf,[status(esa)],[commutativity_of_addition]) ).
cnf(l11,plain,
equalish(add(subtract(a,b),subtract(b,c)),add(subtract(b,c),subtract(a,b))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l15,plain,
equalish(add(b,subtract(a,b)),add(subtract(a,b),b)),
inference(instantiation,[status(thm)],[2]) ).
cnf(5,plain,
equalish(X0,subtract(add(X0,X1),X1)),
inference(cnf,[status(esa)],[addition_inverts_subtraction2]) ).
cnf(l8,plain,
equalish(add(a,subtract(b,c)),subtract(add(add(a,subtract(b,c)),b),b)),
inference(instantiation,[status(thm)],[5]) ).
cnf(l14,plain,
equalish(add(subtract(b,c),subtract(a,b)),subtract(add(b,subtract(a,b)),c)),
inference(instantiation,[status(thm)],[6]) ).
cnf(l12,plain,
equalish(subtract(add(a,subtract(b,c)),b),add(subtract(a,b),subtract(b,c))),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7,l4,l10,l3,l5,l9,l13,l6,l11,l15,l8,l14,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM003-1 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 10:11:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.33 % launching worker at depth: 1
% 0.18/0.33 % launching worker at depth: 2
% 0.18/0.33 % launching worker at depth: 3
% 0.18/0.33 % launching worker at depth: 4
% 0.18/0.33 % launching worker at depth: 5
% 0.18/0.33 % launching worker at depth: 6
% 0.18/0.33 % launching worker at depth: 7
% 0.18/0.34 % launching worker at depth: 8
% 0.18/0.34 % launching worker at depth: 9
% 0.18/0.34 % launching worker at depth: 10
% 0.18/0.39 % launching worker at depth: 11
% 8.24/1.42 % SZS status Theorem for theBenchmark
% 8.24/1.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------