%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COL075-2 : TPTP v9.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 10:52:19 AM UTC 2025
% Result : Unsatisfiable 2.46s 0.64s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_diagonal_combinator)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
apply(apply(X0,b(X0)),c(X0)) != apply(b(X0),b(X0)),
inference(cnf,[status(esa)],[prove_diagonal_combinator]) ).
cnf(l0,plain,
apply(apply(apply(apply(abstraction,abstraction),k),b(apply(apply(abstraction,abstraction),k))),c(apply(apply(abstraction,abstraction),k))) != apply(b(apply(apply(abstraction,abstraction),k)),b(apply(apply(abstraction,abstraction),k))),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,apply(k,X2)),apply(X1,X2)),
inference(cnf,[status(esa)],[abstraction]) ).
cnf(l10,plain,
apply(apply(apply(abstraction,apply(k,b(apply(apply(abstraction,abstraction),k)))),apply(k,b(apply(apply(abstraction,abstraction),k)))),apply(apply(k,c(apply(apply(abstraction,abstraction),k))),X1_6)) = apply(apply(apply(k,b(apply(apply(abstraction,abstraction),k))),apply(k,apply(apply(k,c(apply(apply(abstraction,abstraction),k))),X1_6))),apply(apply(k,b(apply(apply(abstraction,abstraction),k))),apply(apply(k,c(apply(apply(abstraction,abstraction),k))),X1_6))),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
apply(apply(k,X0),X1) = X0,
inference(cnf,[status(esa)],[k_definition]) ).
cnf(l14,plain,
apply(apply(k,b(apply(apply(abstraction,abstraction),k))),apply(k,apply(apply(k,c(apply(apply(abstraction,abstraction),k))),X1_6))) = b(apply(apply(abstraction,abstraction),k)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l15,plain,
apply(apply(k,b(apply(apply(abstraction,abstraction),k))),apply(apply(k,c(apply(apply(abstraction,abstraction),k))),X1_6)) = b(apply(apply(abstraction,abstraction),k)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
apply(apply(k,c(apply(apply(abstraction,abstraction),k))),X1_6) = c(apply(apply(abstraction,abstraction),k)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
apply(apply(apply(abstraction,abstraction),k),b(apply(apply(abstraction,abstraction),k))) = apply(apply(abstraction,apply(k,b(apply(apply(abstraction,abstraction),k)))),apply(k,b(apply(apply(abstraction,abstraction),k)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l10,l14,l15,l6,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : COL075-2 : TPTP v9.0.0. Released v1.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 05:52:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 2.46/0.64 % SZS status Theorem for theBenchmark
% 2.46/0.64 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------