TSTP Solution File: CAT002-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CAT002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bA10Wbuyzs true

% Computer : n024.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 18:20:50 EDT 2023

% Result   : Unsatisfiable 11.10s 2.22s
% Output   : Refutation 11.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : CAT002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bA10Wbuyzs true
% 0.14/0.35  % Computer : n024.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 00:07:09 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.44/0.69  % Total configuration time : 435
% 0.44/0.69  % Estimated wc time : 1092
% 0.44/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.10/2.22  % Solved by fo/fo3_bce.sh.
% 11.10/2.22  % BCE start: 24
% 11.10/2.22  % BCE eliminated: 0
% 11.10/2.22  % PE start: 24
% 11.10/2.22  logic: eq
% 11.10/2.22  % PE eliminated: -1
% 11.10/2.22  % done 3576 iterations in 1.439s
% 11.10/2.22  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.10/2.22  % SZS output start Refutation
% 11.10/2.22  thf(c_type, type, c: $i).
% 11.10/2.22  thf(compose_type, type, compose: $i > $i > $i).
% 11.10/2.22  thf(b_type, type, b: $i).
% 11.10/2.22  thf(h_type, type, h: $i).
% 11.10/2.22  thf(g_type, type, g: $i).
% 11.10/2.22  thf(defined_type, type, defined: $i > $i > $o).
% 11.10/2.22  thf(d_type, type, d: $i).
% 11.10/2.22  thf(product_type, type, product: $i > $i > $i > $o).
% 11.10/2.22  thf(a_type, type, a: $i).
% 11.10/2.22  thf(closure_of_composition, axiom,
% 11.10/2.22    (( ~( defined @ X @ Y ) ) | ( product @ X @ Y @ ( compose @ X @ Y ) ))).
% 11.10/2.22  thf(zip_derived_cl0, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i]:
% 11.10/2.22         (~ (defined @ X0 @ X1) |  (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 11.10/2.22      inference('cnf', [status(esa)], [closure_of_composition])).
% 11.10/2.22  thf(cg_equals_d, axiom, (product @ c @ g @ d)).
% 11.10/2.22  thf(zip_derived_cl22, plain, ( (product @ c @ g @ d)),
% 11.10/2.22      inference('cnf', [status(esa)], [cg_equals_d])).
% 11.10/2.22  thf(zip_derived_cl0, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i]:
% 11.10/2.22         (~ (defined @ X0 @ X1) |  (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 11.10/2.22      inference('cnf', [status(esa)], [closure_of_composition])).
% 11.10/2.22  thf(ab_equals_c, axiom, (product @ a @ b @ c)).
% 11.10/2.22  thf(zip_derived_cl20, plain, ( (product @ a @ b @ c)),
% 11.10/2.22      inference('cnf', [status(esa)], [ab_equals_c])).
% 11.10/2.22  thf(category_theory_axiom2, axiom,
% 11.10/2.22    (( ~( product @ X @ Y @ Xy ) ) | ( ~( product @ Xy @ Z @ Xyz ) ) | 
% 11.10/2.22     ( ~( product @ Y @ Z @ Yz ) ) | ( product @ X @ Yz @ Xyz ))).
% 11.10/2.22  thf(zip_derived_cl4, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 11.10/2.22         (~ (product @ X0 @ X1 @ X2)
% 11.10/2.22          | ~ (product @ X2 @ X3 @ X4)
% 11.10/2.22          | ~ (product @ X1 @ X3 @ X5)
% 11.10/2.22          |  (product @ X0 @ X5 @ X4))),
% 11.10/2.22      inference('cnf', [status(esa)], [category_theory_axiom2])).
% 11.10/2.22  thf(zip_derived_cl204, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 11.10/2.22         ( (product @ a @ X1 @ X0)
% 11.10/2.22          | ~ (product @ b @ X2 @ X1)
% 11.10/2.22          | ~ (product @ c @ X2 @ X0))),
% 11.10/2.22      inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl4])).
% 11.10/2.22  thf(zip_derived_cl1229, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i]:
% 11.10/2.22         (~ (defined @ b @ X0)
% 11.10/2.22          | ~ (product @ c @ X0 @ X1)
% 11.10/2.22          |  (product @ a @ (compose @ b @ X0) @ X1))),
% 11.10/2.22      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl204])).
% 11.10/2.22  thf(zip_derived_cl11307, plain,
% 11.10/2.22      (( (product @ a @ (compose @ b @ g) @ d) | ~ (defined @ b @ g))),
% 11.10/2.22      inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl1229])).
% 11.10/2.22  thf(zip_derived_cl20, plain, ( (product @ a @ b @ c)),
% 11.10/2.22      inference('cnf', [status(esa)], [ab_equals_c])).
% 11.10/2.22  thf(associative_property2, axiom,
% 11.10/2.22    (( ~( product @ X @ Y @ Xy ) ) | ( ~( defined @ Xy @ Z ) ) | 
% 11.10/2.22     ( defined @ Y @ Z ))).
% 11.10/2.22  thf(zip_derived_cl2, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.10/2.22         (~ (product @ X0 @ X1 @ X2)
% 11.10/2.22          | ~ (defined @ X2 @ X3)
% 11.10/2.22          |  (defined @ X1 @ X3))),
% 11.10/2.22      inference('cnf', [status(esa)], [associative_property2])).
% 11.10/2.22  thf(zip_derived_cl146, plain,
% 11.10/2.22      (![X0 : $i]: ( (defined @ b @ X0) | ~ (defined @ c @ X0))),
% 11.10/2.22      inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl2])).
% 11.10/2.22  thf(associative_property1, axiom,
% 11.10/2.22    (( ~( product @ X @ Y @ Z ) ) | ( defined @ X @ Y ))).
% 11.10/2.22  thf(zip_derived_cl1, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 11.10/2.22         (~ (product @ X0 @ X1 @ X2) |  (defined @ X0 @ X1))),
% 11.10/2.22      inference('cnf', [status(esa)], [associative_property1])).
% 11.10/2.22  thf(zip_derived_cl22, plain, ( (product @ c @ g @ d)),
% 11.10/2.22      inference('cnf', [status(esa)], [cg_equals_d])).
% 11.10/2.22  thf(zip_derived_cl135, plain, ( (defined @ c @ g)),
% 11.10/2.22      inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl22])).
% 11.10/2.22  thf(zip_derived_cl267, plain, ( (defined @ b @ g)),
% 11.10/2.22      inference('sup+', [status(thm)], [zip_derived_cl146, zip_derived_cl135])).
% 11.10/2.22  thf(zip_derived_cl11312, plain, ( (product @ a @ (compose @ b @ g) @ d)),
% 11.10/2.22      inference('demod', [status(thm)],
% 11.10/2.22                [zip_derived_cl11307, zip_derived_cl267])).
% 11.10/2.22  thf(ch_equals_d, axiom, (product @ c @ h @ d)).
% 11.10/2.22  thf(zip_derived_cl21, plain, ( (product @ c @ h @ d)),
% 11.10/2.22      inference('cnf', [status(esa)], [ch_equals_d])).
% 11.10/2.22  thf(zip_derived_cl1229, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i]:
% 11.10/2.22         (~ (defined @ b @ X0)
% 11.10/2.22          | ~ (product @ c @ X0 @ X1)
% 11.10/2.22          |  (product @ a @ (compose @ b @ X0) @ X1))),
% 11.10/2.22      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl204])).
% 11.10/2.22  thf(zip_derived_cl11306, plain,
% 11.10/2.22      (( (product @ a @ (compose @ b @ h) @ d) | ~ (defined @ b @ h))),
% 11.10/2.22      inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl1229])).
% 11.10/2.22  thf(zip_derived_cl146, plain,
% 11.10/2.22      (![X0 : $i]: ( (defined @ b @ X0) | ~ (defined @ c @ X0))),
% 11.10/2.22      inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl2])).
% 11.10/2.22  thf(zip_derived_cl1, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 11.10/2.22         (~ (product @ X0 @ X1 @ X2) |  (defined @ X0 @ X1))),
% 11.10/2.22      inference('cnf', [status(esa)], [associative_property1])).
% 11.10/2.22  thf(zip_derived_cl21, plain, ( (product @ c @ h @ d)),
% 11.10/2.22      inference('cnf', [status(esa)], [ch_equals_d])).
% 11.10/2.22  thf(zip_derived_cl134, plain, ( (defined @ c @ h)),
% 11.10/2.22      inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 11.10/2.22  thf(zip_derived_cl266, plain, ( (defined @ b @ h)),
% 11.10/2.22      inference('sup+', [status(thm)], [zip_derived_cl146, zip_derived_cl134])).
% 11.10/2.22  thf(zip_derived_cl11311, plain, ( (product @ a @ (compose @ b @ h) @ d)),
% 11.10/2.22      inference('demod', [status(thm)],
% 11.10/2.22                [zip_derived_cl11306, zip_derived_cl266])).
% 11.10/2.22  thf(cancellation_for_product1, axiom,
% 11.10/2.22    (( ~( product @ a @ X @ W ) ) | ( ~( product @ a @ Y @ W ) ) | 
% 11.10/2.22     ( ( X ) = ( Y ) ))).
% 11.10/2.22  thf(zip_derived_cl18, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 11.10/2.22         (~ (product @ a @ X0 @ X1) | ~ (product @ a @ X2 @ X1) | ((X0) = (X2)))),
% 11.10/2.22      inference('cnf', [status(esa)], [cancellation_for_product1])).
% 11.10/2.22  thf(zip_derived_cl13717, plain,
% 11.10/2.22      (![X0 : $i]: (((compose @ b @ h) = (X0)) | ~ (product @ a @ X0 @ d))),
% 11.10/2.22      inference('sup-', [status(thm)], [zip_derived_cl11311, zip_derived_cl18])).
% 11.10/2.22  thf(zip_derived_cl14045, plain, (((compose @ b @ h) = (compose @ b @ g))),
% 11.10/2.22      inference('sup-', [status(thm)],
% 11.10/2.22                [zip_derived_cl11312, zip_derived_cl13717])).
% 11.10/2.22  thf(zip_derived_cl0, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i]:
% 11.10/2.22         (~ (defined @ X0 @ X1) |  (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 11.10/2.22      inference('cnf', [status(esa)], [closure_of_composition])).
% 11.10/2.22  thf(cancellation_for_product2, axiom,
% 11.10/2.22    (( ~( product @ b @ X @ W ) ) | ( ~( product @ b @ Y @ W ) ) | 
% 11.10/2.22     ( ( X ) = ( Y ) ))).
% 11.10/2.22  thf(zip_derived_cl19, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 11.10/2.22         (~ (product @ b @ X0 @ X1) | ~ (product @ b @ X2 @ X1) | ((X0) = (X2)))),
% 11.10/2.22      inference('cnf', [status(esa)], [cancellation_for_product2])).
% 11.10/2.22  thf(zip_derived_cl168, plain,
% 11.10/2.22      (![X0 : $i, X1 : $i]:
% 11.10/2.22         (~ (defined @ b @ X0)
% 11.10/2.22          | ((X0) = (X1))
% 11.10/2.22          | ~ (product @ b @ X1 @ (compose @ b @ X0)))),
% 11.10/2.22      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl19])).
% 11.10/2.22  thf(zip_derived_cl14091, plain,
% 11.10/2.22      (![X0 : $i]:
% 11.10/2.22         (~ (product @ b @ X0 @ (compose @ b @ h))
% 11.10/2.22          | ((g) = (X0))
% 11.10/2.22          | ~ (defined @ b @ g))),
% 11.10/2.22      inference('sup-', [status(thm)], [zip_derived_cl14045, zip_derived_cl168])).
% 11.10/2.22  thf(zip_derived_cl267, plain, ( (defined @ b @ g)),
% 11.10/2.22      inference('sup+', [status(thm)], [zip_derived_cl146, zip_derived_cl135])).
% 11.10/2.22  thf(zip_derived_cl14126, plain,
% 11.10/2.22      (![X0 : $i]: (~ (product @ b @ X0 @ (compose @ b @ h)) | ((g) = (X0)))),
% 11.10/2.22      inference('demod', [status(thm)],
% 11.10/2.22                [zip_derived_cl14091, zip_derived_cl267])).
% 11.10/2.22  thf(zip_derived_cl14293, plain, ((~ (defined @ b @ h) | ((g) = (h)))),
% 11.10/2.22      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14126])).
% 11.10/2.22  thf(zip_derived_cl266, plain, ( (defined @ b @ h)),
% 11.10/2.22      inference('sup+', [status(thm)], [zip_derived_cl146, zip_derived_cl134])).
% 11.10/2.22  thf(zip_derived_cl14295, plain, (((g) = (h))),
% 11.10/2.22      inference('demod', [status(thm)],
% 11.10/2.22                [zip_derived_cl14293, zip_derived_cl266])).
% 11.10/2.22  thf(prove_h_equals_g, conjecture, (( h ) = ( g ))).
% 11.10/2.22  thf(zf_stmt_0, negated_conjecture, (( h ) != ( g )),
% 11.10/2.22    inference('cnf.neg', [status(esa)], [prove_h_equals_g])).
% 11.10/2.22  thf(zip_derived_cl23, plain, (((h) != (g))),
% 11.10/2.22      inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.10/2.22  thf(zip_derived_cl14296, plain, ($false),
% 11.10/2.22      inference('simplify_reflect-', [status(thm)],
% 11.10/2.22                [zip_derived_cl14295, zip_derived_cl23])).
% 11.10/2.22  
% 11.10/2.22  % SZS output end Refutation
% 11.10/2.22  
% 11.10/2.22  
% 11.10/2.22  % Terminating...
% 11.29/2.30  % Runner terminated.
% 11.29/2.32  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------