%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET204-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 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 : Fri Jul 25 03:31:48 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_cross_product_property2_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
member(ordered_pair(u,v),cross_product(x,y)),
inference(cnf,[status(esa)],[prove_cross_product_property2_1]) ).
cnf(l0,plain,
member(ordered_pair(u,v),cross_product(x,y)),
inference(instantiation,[status(thm)],[112]) ).
cnf(13,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
inference(cnf,[status(esa)],[cartesian_product1]) ).
cnf(l1,plain,
( ~ member(ordered_pair(u,v),cross_product(x,y))
| member(u,x) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(15,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
inference(cnf,[status(esa)],[cartesian_product3]) ).
cnf(l2,plain,
( ~ member(v,y)
| ~ member(u,x)
| member(ordered_pair(v,u),cross_product(y,x)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(113,plain,
~ member(ordered_pair(v,u),cross_product(y,x)),
inference(cnf,[status(esa)],[prove_cross_product_property2_2]) ).
cnf(l3,plain,
~ member(ordered_pair(v,u),cross_product(y,x)),
inference(instantiation,[status(thm)],[113]) ).
cnf(14,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
inference(cnf,[status(esa)],[cartesian_product2]) ).
cnf(l6,plain,
( ~ member(ordered_pair(u,v),cross_product(x,y))
| member(v,y) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET204-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 20:24:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------