TSTP Solution File: CAT004-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CAT004-1 : 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.CbdxahsHrb true

% Computer : n006.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 18:20:52 EDT 2023

% Result   : Unsatisfiable 12.31s 2.34s
% Output   : Refutation 12.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : CAT004-1 : 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.CbdxahsHrb true
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 00:09:52 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.80/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.80/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.31/2.34  % Solved by fo/fo5.sh.
% 12.31/2.34  % done 4632 iterations in 1.559s
% 12.31/2.34  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.31/2.34  % SZS output start Refutation
% 12.31/2.34  thf(c_type, type, c: $i).
% 12.31/2.34  thf(b_type, type, b: $i).
% 12.31/2.34  thf(a_type, type, a: $i).
% 12.31/2.34  thf(compose_type, type, compose: $i > $i > $i).
% 12.31/2.34  thf(h_type, type, h: $i).
% 12.31/2.34  thf(g_type, type, g: $i).
% 12.31/2.34  thf(defined_type, type, defined: $i > $i > $o).
% 12.31/2.34  thf(d_type, type, d: $i).
% 12.31/2.34  thf(product_type, type, product: $i > $i > $i > $o).
% 12.31/2.34  thf(gc_equals_d, axiom, (product @ g @ c @ d)).
% 12.31/2.34  thf(zip_derived_cl22, plain, ( (product @ g @ c @ d)),
% 12.31/2.34      inference('cnf', [status(esa)], [gc_equals_d])).
% 12.31/2.34  thf(associative_property1, axiom,
% 12.31/2.34    (( ~( product @ X @ Y @ Z ) ) | ( defined @ X @ Y ))).
% 12.31/2.34  thf(zip_derived_cl1, plain,
% 12.31/2.34      (![X0 : $i, X1 : $i, X2 : $i]:
% 12.31/2.34         (~ (product @ X0 @ X1 @ X2) |  (defined @ X0 @ X1))),
% 12.31/2.34      inference('cnf', [status(esa)], [associative_property1])).
% 12.31/2.34  thf(zip_derived_cl30, plain, ( (defined @ g @ c)),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 12.31/2.34  thf(ab_equals_c, axiom, (product @ a @ b @ c)).
% 12.31/2.34  thf(zip_derived_cl20, plain, ( (product @ a @ b @ c)),
% 12.31/2.34      inference('cnf', [status(esa)], [ab_equals_c])).
% 12.31/2.34  thf(category_theory_axiom3, axiom,
% 12.31/2.34    (( ~( product @ Y @ Z @ Yz ) ) | ( ~( defined @ X @ Yz ) ) | 
% 12.31/2.34     ( defined @ X @ Y ))).
% 12.31/2.34  thf(zip_derived_cl5, plain,
% 12.31/2.34      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.31/2.34         (~ (product @ X0 @ X1 @ X2)
% 12.31/2.34          | ~ (defined @ X3 @ X2)
% 12.31/2.34          |  (defined @ X3 @ X0))),
% 12.31/2.34      inference('cnf', [status(esa)], [category_theory_axiom3])).
% 12.31/2.34  thf(zip_derived_cl82, plain,
% 12.31/2.34      (![X0 : $i]: ( (defined @ X0 @ a) | ~ (defined @ X0 @ c))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl5])).
% 12.31/2.34  thf(zip_derived_cl186, plain, ( (defined @ g @ a)),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl82])).
% 12.31/2.34  thf(closure_of_composition, axiom,
% 12.31/2.34    (( ~( defined @ X @ Y ) ) | ( product @ X @ Y @ ( compose @ X @ Y ) ))).
% 12.31/2.34  thf(zip_derived_cl0, plain,
% 12.31/2.34      (![X0 : $i, X1 : $i]:
% 12.31/2.34         (~ (defined @ X0 @ X1) |  (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 12.31/2.34      inference('cnf', [status(esa)], [closure_of_composition])).
% 12.31/2.34  thf(zip_derived_cl191, plain, ( (product @ g @ a @ (compose @ g @ a))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl186, zip_derived_cl0])).
% 12.31/2.34  thf(zip_derived_cl22, plain, ( (product @ g @ c @ d)),
% 12.31/2.34      inference('cnf', [status(esa)], [gc_equals_d])).
% 12.31/2.34  thf(zip_derived_cl191, plain, ( (product @ g @ a @ (compose @ g @ a))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl186, zip_derived_cl0])).
% 12.31/2.34  thf(zip_derived_cl20, plain, ( (product @ a @ b @ c)),
% 12.31/2.34      inference('cnf', [status(esa)], [ab_equals_c])).
% 12.31/2.34  thf(category_theory_axiom5, axiom,
% 12.31/2.34    (( ~( product @ Y @ Z @ Yz ) ) | ( ~( product @ X @ Yz @ Xyz ) ) | 
% 12.31/2.34     ( ~( product @ X @ Y @ Xy ) ) | ( product @ Xy @ Z @ Xyz ))).
% 12.31/2.34  thf(zip_derived_cl7, plain,
% 12.31/2.34      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.31/2.34         (~ (product @ X0 @ X1 @ X2)
% 12.31/2.34          | ~ (product @ X3 @ X2 @ X4)
% 12.31/2.34          | ~ (product @ X3 @ X0 @ X5)
% 12.31/2.34          |  (product @ X5 @ X1 @ X4))),
% 12.31/2.34      inference('cnf', [status(esa)], [category_theory_axiom5])).
% 12.31/2.34  thf(zip_derived_cl115, plain,
% 12.31/2.34      (![X0 : $i, X1 : $i, X2 : $i]:
% 12.31/2.34         ( (product @ X1 @ b @ X0)
% 12.31/2.34          | ~ (product @ X2 @ a @ X1)
% 12.31/2.34          | ~ (product @ X2 @ c @ X0))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl7])).
% 12.31/2.34  thf(zip_derived_cl2515, plain,
% 12.31/2.34      (![X0 : $i]:
% 12.31/2.34         (~ (product @ g @ c @ X0) |  (product @ (compose @ g @ a) @ b @ X0))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl191, zip_derived_cl115])).
% 12.31/2.34  thf(zip_derived_cl13342, plain, ( (product @ (compose @ g @ a) @ b @ d)),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl2515])).
% 12.31/2.34  thf(hc_equals_d, axiom, (product @ h @ c @ d)).
% 12.31/2.34  thf(zip_derived_cl21, plain, ( (product @ h @ c @ d)),
% 12.31/2.34      inference('cnf', [status(esa)], [hc_equals_d])).
% 12.31/2.34  thf(zip_derived_cl21, plain, ( (product @ h @ c @ d)),
% 12.31/2.34      inference('cnf', [status(esa)], [hc_equals_d])).
% 12.31/2.34  thf(zip_derived_cl1, plain,
% 12.31/2.34      (![X0 : $i, X1 : $i, X2 : $i]:
% 12.31/2.34         (~ (product @ X0 @ X1 @ X2) |  (defined @ X0 @ X1))),
% 12.31/2.34      inference('cnf', [status(esa)], [associative_property1])).
% 12.31/2.34  thf(zip_derived_cl29, plain, ( (defined @ h @ c)),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 12.31/2.34  thf(zip_derived_cl82, plain,
% 12.31/2.34      (![X0 : $i]: ( (defined @ X0 @ a) | ~ (defined @ X0 @ c))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl5])).
% 12.31/2.34  thf(zip_derived_cl185, plain, ( (defined @ h @ a)),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl82])).
% 12.31/2.34  thf(zip_derived_cl0, plain,
% 12.31/2.34      (![X0 : $i, X1 : $i]:
% 12.31/2.34         (~ (defined @ X0 @ X1) |  (product @ X0 @ X1 @ (compose @ X0 @ X1)))),
% 12.31/2.34      inference('cnf', [status(esa)], [closure_of_composition])).
% 12.31/2.34  thf(zip_derived_cl187, plain, ( (product @ h @ a @ (compose @ h @ a))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl0])).
% 12.31/2.34  thf(zip_derived_cl115, plain,
% 12.31/2.34      (![X0 : $i, X1 : $i, X2 : $i]:
% 12.31/2.34         ( (product @ X1 @ b @ X0)
% 12.31/2.34          | ~ (product @ X2 @ a @ X1)
% 12.31/2.34          | ~ (product @ X2 @ c @ X0))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl7])).
% 12.31/2.34  thf(zip_derived_cl2438, plain,
% 12.31/2.34      (![X0 : $i]:
% 12.31/2.34         (~ (product @ h @ c @ X0) |  (product @ (compose @ h @ a) @ b @ X0))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl187, zip_derived_cl115])).
% 12.31/2.34  thf(zip_derived_cl12906, plain, ( (product @ (compose @ h @ a) @ b @ d)),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl2438])).
% 12.31/2.34  thf(cancellation_for_product2, axiom,
% 12.31/2.34    (( ~( product @ X @ b @ W ) ) | ( ~( product @ Y @ b @ W ) ) | 
% 12.31/2.34     ( ( X ) = ( Y ) ))).
% 12.31/2.34  thf(zip_derived_cl19, plain,
% 12.31/2.34      (![X0 : $i, X1 : $i, X2 : $i]:
% 12.31/2.34         (~ (product @ X0 @ b @ X1) | ~ (product @ X2 @ b @ X1) | ((X0) = (X2)))),
% 12.31/2.34      inference('cnf', [status(esa)], [cancellation_for_product2])).
% 12.31/2.34  thf(zip_derived_cl12939, plain,
% 12.31/2.34      (![X0 : $i]: (((compose @ h @ a) = (X0)) | ~ (product @ X0 @ b @ d))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl12906, zip_derived_cl19])).
% 12.31/2.34  thf(zip_derived_cl13462, plain, (((compose @ h @ a) = (compose @ g @ a))),
% 12.31/2.34      inference('sup-', [status(thm)],
% 12.31/2.34                [zip_derived_cl13342, zip_derived_cl12939])).
% 12.31/2.34  thf(zip_derived_cl13501, plain, ( (product @ g @ a @ (compose @ h @ a))),
% 12.31/2.34      inference('demod', [status(thm)],
% 12.31/2.34                [zip_derived_cl191, zip_derived_cl13462])).
% 12.31/2.34  thf(zip_derived_cl187, plain, ( (product @ h @ a @ (compose @ h @ a))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl0])).
% 12.31/2.34  thf(cancellation_for_product1, axiom,
% 12.31/2.34    (( ~( product @ X @ a @ W ) ) | ( ~( product @ Y @ a @ W ) ) | 
% 12.31/2.34     ( ( X ) = ( Y ) ))).
% 12.31/2.34  thf(zip_derived_cl18, plain,
% 12.31/2.34      (![X0 : $i, X1 : $i, X2 : $i]:
% 12.31/2.34         (~ (product @ X0 @ a @ X1) | ~ (product @ X2 @ a @ X1) | ((X0) = (X2)))),
% 12.31/2.34      inference('cnf', [status(esa)], [cancellation_for_product1])).
% 12.31/2.34  thf(zip_derived_cl2437, plain,
% 12.31/2.34      (![X0 : $i]: (((h) = (X0)) | ~ (product @ X0 @ a @ (compose @ h @ a)))),
% 12.31/2.34      inference('sup-', [status(thm)], [zip_derived_cl187, zip_derived_cl18])).
% 12.31/2.34  thf(zip_derived_cl13624, plain, (((h) = (g))),
% 12.31/2.34      inference('sup-', [status(thm)],
% 12.31/2.34                [zip_derived_cl13501, zip_derived_cl2437])).
% 12.31/2.34  thf(prove_h_equals_g, conjecture, (( h ) = ( g ))).
% 12.31/2.34  thf(zf_stmt_0, negated_conjecture, (( h ) != ( g )),
% 12.31/2.34    inference('cnf.neg', [status(esa)], [prove_h_equals_g])).
% 12.31/2.34  thf(zip_derived_cl23, plain, (((h) != (g))),
% 12.31/2.34      inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.31/2.34  thf(zip_derived_cl13635, plain, ($false),
% 12.31/2.34      inference('simplify_reflect-', [status(thm)],
% 12.31/2.34                [zip_derived_cl13624, zip_derived_cl23])).
% 12.31/2.34  
% 12.31/2.34  % SZS output end Refutation
% 12.31/2.34  
% 12.31/2.34  
% 12.31/2.34  % Terminating...
% 12.92/2.46  % Runner terminated.
% 12.92/2.49  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------