%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COL080-2 : TPTP v9.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 10:52:20 AM UTC 2025
% Result : Unsatisfiable 116.65s 14.98s
% Output : CNFRefutation 116.65s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_TRC2b)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
k(b) != apply(abstraction,apply(abstraction,k(b))),
inference(cnf,[status(esa)],[prove_TRC2b]) ).
cnf(l0,plain,
k(b) != apply(abstraction,apply(abstraction,k(b))),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
| X0 = X1 ),
inference(cnf,[status(esa)],[extensionality2]) ).
cnf(l2,plain,
( apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) != apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b)))
| apply(abstraction,apply(abstraction,k(b))) = k(b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l79,plain,
( apply(b,n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))))) != apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))
| b = apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
apply(k(X0),X1) = X0,
inference(cnf,[status(esa)],[k_definition]) ).
cnf(l6,plain,
apply(k(b),n(apply(abstraction,apply(abstraction,k(b))),k(b))) = b,
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,k(X2)),apply(X1,X2)),
inference(cnf,[status(esa)],[abstraction]) ).
cnf(l160,plain,
apply(apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))),n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))))) = apply(apply(apply(abstraction,k(b)),k(n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l161,plain,
apply(apply(apply(abstraction,k(b)),k(n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))) = apply(apply(k(b),k(apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),apply(k(n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l150,plain,
apply(k(n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))))),apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b)))))) = n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l149,plain,
apply(k(b),k(apply(n(apply(abstraction,apply(abstraction,k(b))),k(b)),n(b,apply(apply(abstraction,apply(abstraction,k(b))),n(apply(abstraction,apply(abstraction,k(b))),k(b))))))) = b,
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l79,l6,l160,l161,l150,l149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL080-2 : TPTP v9.0.0. Released v1.2.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 : Sun Jul 20 05:53:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 5
% 0.12/0.34 % launching worker at depth: 6
% 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 % launching worker at depth: 11
% 1.82/0.61 % launching worker at depth: 12
% 116.65/14.98 % SZS status Theorem for theBenchmark
% 116.65/14.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------