TSTP Solution File: COL062-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL062-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.atZ53mNIqN true
% Computer : n012.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 : Wed Aug 30 18:34:39 EDT 2023
% Result : Unsatisfiable 14.12s 2.70s
% Output : Refutation 14.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : COL062-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.atZ53mNIqN true
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 04:56:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 14.12/2.70 % Solved by fo/fo4.sh.
% 14.12/2.70 % done 752 iterations in 1.909s
% 14.12/2.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.12/2.70 % SZS output start Refutation
% 14.12/2.70 thf(t_type, type, t: $i).
% 14.12/2.70 thf(h_type, type, h: $i > $i).
% 14.12/2.70 thf(b_type, type, b: $i).
% 14.12/2.70 thf(apply_type, type, apply: $i > $i > $i).
% 14.12/2.70 thf(f_type, type, f: $i > $i).
% 14.12/2.70 thf(g_type, type, g: $i > $i).
% 14.12/2.70 thf(t_definition, axiom,
% 14.12/2.70 (( apply @ ( apply @ t @ X ) @ Y ) = ( apply @ Y @ X ))).
% 14.12/2.70 thf(zip_derived_cl1, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i]:
% 14.12/2.70 ((apply @ (apply @ t @ X1) @ X0) = (apply @ X0 @ X1))),
% 14.12/2.70 inference('cnf', [status(esa)], [t_definition])).
% 14.12/2.70 thf(b_definition, axiom,
% 14.12/2.70 (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 14.12/2.70 ( apply @ X @ ( apply @ Y @ Z ) ))).
% 14.12/2.70 thf(zip_derived_cl0, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.12/2.70 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 14.12/2.70 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 14.12/2.70 inference('cnf', [status(esa)], [b_definition])).
% 14.12/2.70 thf(zip_derived_cl0, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.12/2.70 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 14.12/2.70 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 14.12/2.70 inference('cnf', [status(esa)], [b_definition])).
% 14.12/2.70 thf(zip_derived_cl1, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i]:
% 14.12/2.70 ((apply @ (apply @ t @ X1) @ X0) = (apply @ X0 @ X1))),
% 14.12/2.70 inference('cnf', [status(esa)], [t_definition])).
% 14.12/2.70 thf(zip_derived_cl0, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.12/2.70 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 14.12/2.70 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 14.12/2.70 inference('cnf', [status(esa)], [b_definition])).
% 14.12/2.70 thf(zip_derived_cl0, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.12/2.70 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 14.12/2.70 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 14.12/2.70 inference('cnf', [status(esa)], [b_definition])).
% 14.12/2.70 thf(zip_derived_cl1, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i]:
% 14.12/2.70 ((apply @ (apply @ t @ X1) @ X0) = (apply @ X0 @ X1))),
% 14.12/2.70 inference('cnf', [status(esa)], [t_definition])).
% 14.12/2.70 thf(zip_derived_cl0, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.12/2.70 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 14.12/2.70 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 14.12/2.70 inference('cnf', [status(esa)], [b_definition])).
% 14.12/2.70 thf(prove_c_combinator, conjecture,
% 14.12/2.70 (( apply @ ( apply @ ( apply @ X @ ( f @ X ) ) @ ( g @ X ) ) @ ( h @ X ) ) =
% 14.12/2.70 ( apply @ ( apply @ ( f @ X ) @ ( h @ X ) ) @ ( g @ X ) ))).
% 14.12/2.70 thf(zf_stmt_0, negated_conjecture,
% 14.12/2.70 (( apply @ ( apply @ ( apply @ X @ ( f @ X ) ) @ ( g @ X ) ) @ ( h @ X ) ) !=
% 14.12/2.70 ( apply @ ( apply @ ( f @ X ) @ ( h @ X ) ) @ ( g @ X ) )),
% 14.12/2.70 inference('cnf.neg', [status(esa)], [prove_c_combinator])).
% 14.12/2.70 thf(zip_derived_cl2, plain,
% 14.12/2.70 (![X0 : $i]:
% 14.12/2.70 ((apply @ (apply @ (apply @ X0 @ (f @ X0)) @ (g @ X0)) @ (h @ X0))
% 14.12/2.70 != (apply @ (apply @ (f @ X0) @ (h @ X0)) @ (g @ X0)))),
% 14.12/2.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.12/2.70 thf(zip_derived_cl5, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i]:
% 14.12/2.70 ((apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ X1 @ (apply @ X0 @ (f @ (apply @ (apply @ b @ X1) @ X0)))) @
% 14.12/2.70 (g @ (apply @ (apply @ b @ X1) @ X0))) @
% 14.12/2.70 (h @ (apply @ (apply @ b @ X1) @ X0)))
% 14.12/2.70 != (apply @
% 14.12/2.70 (apply @ (f @ (apply @ (apply @ b @ X1) @ X0)) @
% 14.12/2.70 (h @ (apply @ (apply @ b @ X1) @ X0))) @
% 14.12/2.70 (g @ (apply @ (apply @ b @ X1) @ X0))))),
% 14.12/2.70 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 14.12/2.70 thf(zip_derived_cl18, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i]:
% 14.12/2.70 ((apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ X1 @ (f @ (apply @ (apply @ b @ (apply @ t @ X0)) @ X1))) @
% 14.12/2.70 X0) @
% 14.12/2.70 (g @ (apply @ (apply @ b @ (apply @ t @ X0)) @ X1))) @
% 14.12/2.70 (h @ (apply @ (apply @ b @ (apply @ t @ X0)) @ X1)))
% 14.12/2.70 != (apply @
% 14.12/2.70 (apply @ (f @ (apply @ (apply @ b @ (apply @ t @ X0)) @ X1)) @
% 14.12/2.70 (h @ (apply @ (apply @ b @ (apply @ t @ X0)) @ X1))) @
% 14.12/2.70 (g @ (apply @ (apply @ b @ (apply @ t @ X0)) @ X1))))),
% 14.12/2.70 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 14.12/2.70 thf(zip_derived_cl48, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.12/2.70 ((apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ X1 @
% 14.12/2.70 (apply @ X0 @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X2)) @
% 14.12/2.70 (apply @ (apply @ b @ X1) @ X0))))) @
% 14.12/2.70 X2) @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X2)) @
% 14.12/2.70 (apply @ (apply @ b @ X1) @ X0)))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X2)) @
% 14.12/2.70 (apply @ (apply @ b @ X1) @ X0))))
% 14.12/2.70 != (apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X2)) @
% 14.12/2.70 (apply @ (apply @ b @ X1) @ X0))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X2)) @
% 14.12/2.70 (apply @ (apply @ b @ X1) @ X0)))) @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X2)) @
% 14.12/2.70 (apply @ (apply @ b @ X1) @ X0)))))),
% 14.12/2.70 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl18])).
% 14.12/2.70 thf(zip_derived_cl392, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i]:
% 14.12/2.70 ((apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ X0 @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X1)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ X0)))) @
% 14.12/2.70 (apply @ X1 @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X1)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ X0))))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X1)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ X0))))
% 14.12/2.70 != (apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X1)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ X0))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X1)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ X0)))) @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X1)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ X0)))))),
% 14.12/2.70 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl48])).
% 14.12/2.70 thf(zip_derived_cl401, plain,
% 14.12/2.70 (![X0 : $i]:
% 14.12/2.70 ((apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ X0 @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X0)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))) @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X0)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X0)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t))))
% 14.12/2.70 != (apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X0)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X0)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))) @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ X0)) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))))),
% 14.12/2.70 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl392])).
% 14.12/2.70 thf(zip_derived_cl413, plain,
% 14.12/2.70 (![X0 : $i, X1 : $i]:
% 14.12/2.70 ((apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ X1 @
% 14.12/2.70 (apply @ X0 @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ X1) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t))))) @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ X1) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ X1) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t))))
% 14.12/2.70 != (apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ X1) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ X1) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))) @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ X1) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))))),
% 14.12/2.70 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl401])).
% 14.12/2.70 thf(zip_derived_cl1790, plain,
% 14.12/2.70 (![X0 : $i]:
% 14.12/2.70 ((apply @
% 14.12/2.70 (apply @ X0 @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))) @
% 14.12/2.70 (apply @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))))
% 14.12/2.70 != (apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))) @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ X0))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))))),
% 14.12/2.70 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl413])).
% 14.12/2.70 thf(zip_derived_cl1798, plain,
% 14.12/2.70 (((apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))) @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @ (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t))))
% 14.12/2.70 != (apply @
% 14.12/2.70 (apply @
% 14.12/2.70 (f @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (h @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))) @
% 14.12/2.70 (g @
% 14.12/2.70 (apply @
% 14.12/2.70 (apply @ b @ (apply @ t @ (apply @ (apply @ b @ b) @ t))) @
% 14.12/2.70 (apply @ (apply @ b @ b) @ t)))))),
% 14.12/2.70 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1790])).
% 14.12/2.70 thf(zip_derived_cl1801, plain, ($false),
% 14.12/2.70 inference('simplify', [status(thm)], [zip_derived_cl1798])).
% 14.12/2.70
% 14.12/2.70 % SZS output end Refutation
% 14.12/2.70
% 14.12/2.70
% 14.12/2.70 % Terminating...
% 14.61/2.77 % Runner terminated.
% 14.61/2.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------