%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COL060-1 : 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 : n031.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 10:52:16 AM UTC 2025
% Result : Unsatisfiable 138.67s 17.79s
% Output : CNFRefutation 138.67s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_q_combinator)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
apply(apply(apply(X0,f(X0)),g(X0)),h(X0)) != apply(g(X0),apply(f(X0),h(X0))),
inference(cnf,[status(esa)],[prove_q_combinator]) ).
cnf(l0,plain,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,b)),b)),t),f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))),g(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))),h(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))) != apply(g(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)),apply(f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)),h(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(cnf,[status(esa)],[b_definition]) ).
cnf(l3,plain,
apply(apply(apply(b,g(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))),f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))),h(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))) = apply(g(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)),apply(f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)),h(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l26,plain,
apply(apply(apply(b,apply(t,b)),b),apply(t,f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)))) = apply(apply(t,b),apply(b,apply(t,f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l24,plain,
apply(apply(apply(b,apply(apply(b,apply(t,b)),b)),t),f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))) = apply(apply(apply(b,apply(t,b)),b),apply(t,f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
apply(apply(t,X0),X1) = apply(X1,X0),
inference(cnf,[status(esa)],[t_definition]) ).
cnf(l12,plain,
apply(apply(t,f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))),apply(b,g(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)))) = apply(apply(b,g(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))),f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
apply(apply(apply(b,apply(t,f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)))),b),g(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))) = apply(apply(t,f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))),apply(b,g(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l15,plain,
apply(apply(t,b),apply(b,apply(t,f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t))))) = apply(apply(b,apply(t,f(apply(apply(b,apply(apply(b,apply(t,b)),b)),t)))),b),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l26,l24,l12,l9,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL060-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Sun Jul 20 05:47:34 EDT 2025
% 0.12/0.34 % 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: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 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
% 0.19/0.36 % launching worker at depth: 11
% 3.53/0.80 % launching worker at depth: 12
% 138.67/17.79 % SZS status Theorem for theBenchmark
% 138.67/17.79 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------