TSTP Solution File: BOO005-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : BOO005-1 : 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.n7HnKDeLWu true

% Computer : n027.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 18:13:12 EDT 2023

% Result   : Unsatisfiable 2.19s 0.90s
% Output   : Refutation 2.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : BOO005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.n7HnKDeLWu true
% 0.12/0.34  % Computer : n027.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 Aug 27 08:24:35 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.19/0.34  % Python version: Python 3.6.8
% 0.19/0.34  % Running in FO mode
% 0.19/0.62  % Total configuration time : 435
% 0.19/0.62  % Estimated wc time : 1092
% 0.19/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.19/0.90  % Solved by fo/fo5.sh.
% 2.19/0.90  % done 427 iterations in 0.136s
% 2.19/0.90  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.19/0.90  % SZS output start Refutation
% 2.19/0.90  thf(sum_type, type, sum: $i > $i > $i > $o).
% 2.19/0.90  thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 2.19/0.90  thf(inverse_type, type, inverse: $i > $i).
% 2.19/0.90  thf(x_type, type, x: $i).
% 2.19/0.90  thf(multiply_type, type, multiply: $i > $i > $i).
% 2.19/0.90  thf(product_type, type, product: $i > $i > $i > $o).
% 2.19/0.90  thf(add_type, type, add: $i > $i > $i).
% 2.19/0.90  thf(prove_equations, conjecture,
% 2.19/0.90    (sum @ x @ multiplicative_identity @ multiplicative_identity)).
% 2.19/0.90  thf(zf_stmt_0, negated_conjecture,
% 2.19/0.90    (~( sum @ x @ multiplicative_identity @ multiplicative_identity )),
% 2.19/0.90    inference('cnf.neg', [status(esa)], [prove_equations])).
% 2.19/0.90  thf(zip_derived_cl22, plain,
% 2.19/0.90      (~ (sum @ x @ multiplicative_identity @ multiplicative_identity)),
% 2.19/0.90      inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.19/0.90  thf(closure_of_multiplication, axiom,
% 2.19/0.90    (product @ X @ Y @ ( multiply @ X @ Y ))).
% 2.19/0.90  thf(zip_derived_cl1, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 2.19/0.90      inference('cnf', [status(esa)], [closure_of_multiplication])).
% 2.19/0.90  thf(closure_of_addition, axiom, (sum @ X @ Y @ ( add @ X @ Y ))).
% 2.19/0.90  thf(zip_derived_cl0, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i]:  (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 2.19/0.90      inference('cnf', [status(esa)], [closure_of_addition])).
% 2.19/0.90  thf(multiplicative_identity2, axiom,
% 2.19/0.90    (product @ X @ multiplicative_identity @ X)).
% 2.19/0.90  thf(zip_derived_cl7, plain,
% 2.19/0.90      (![X0 : $i]:  (product @ X0 @ multiplicative_identity @ X0)),
% 2.19/0.90      inference('cnf', [status(esa)], [multiplicative_identity2])).
% 2.19/0.90  thf(distributivity6, axiom,
% 2.19/0.90    (( ~( sum @ X @ Y @ V1 ) ) | ( ~( sum @ X @ Z @ V2 ) ) | 
% 2.19/0.90     ( ~( product @ Y @ Z @ V3 ) ) | ( ~( product @ V1 @ V2 @ V4 ) ) | 
% 2.19/0.90     ( sum @ X @ V3 @ V4 ))).
% 2.19/0.90  thf(zip_derived_cl13, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 2.19/0.90         (~ (sum @ X0 @ X1 @ X2)
% 2.19/0.90          | ~ (sum @ X0 @ X3 @ X4)
% 2.19/0.90          | ~ (product @ X1 @ X3 @ X5)
% 2.19/0.90          | ~ (product @ X2 @ X4 @ X6)
% 2.19/0.90          |  (sum @ X0 @ X5 @ X6))),
% 2.19/0.90      inference('cnf', [status(esa)], [distributivity6])).
% 2.19/0.90  thf(zip_derived_cl58, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.19/0.90         ( (sum @ X2 @ X0 @ X1)
% 2.19/0.90          | ~ (product @ X4 @ X3 @ X1)
% 2.19/0.90          | ~ (sum @ X2 @ multiplicative_identity @ X3)
% 2.19/0.90          | ~ (sum @ X2 @ X0 @ X4))),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl13])).
% 2.19/0.90  thf(zip_derived_cl574, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.19/0.90         (~ (sum @ X1 @ multiplicative_identity @ X0)
% 2.19/0.90          | ~ (product @ X0 @ X0 @ X2)
% 2.19/0.90          |  (sum @ X1 @ multiplicative_identity @ X2))),
% 2.19/0.90      inference('eq_fact', [status(thm)], [zip_derived_cl58])).
% 2.19/0.90  thf(zip_derived_cl586, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i]:
% 2.19/0.90         ( (sum @ X0 @ multiplicative_identity @ X1)
% 2.19/0.90          | ~ (product @ (add @ X0 @ multiplicative_identity) @ 
% 2.19/0.90               (add @ X0 @ multiplicative_identity) @ X1))),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl574])).
% 2.19/0.90  thf(zip_derived_cl808, plain,
% 2.19/0.90      (![X0 : $i]:
% 2.19/0.90          (sum @ X0 @ multiplicative_identity @ 
% 2.19/0.90           (multiply @ (add @ X0 @ multiplicative_identity) @ 
% 2.19/0.90            (add @ X0 @ multiplicative_identity)))),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl586])).
% 2.19/0.90  thf(additive_inverse2, axiom,
% 2.19/0.90    (sum @ X @ ( inverse @ X ) @ multiplicative_identity)).
% 2.19/0.90  thf(zip_derived_cl17, plain,
% 2.19/0.90      (![X0 : $i]:  (sum @ X0 @ (inverse @ X0) @ multiplicative_identity)),
% 2.19/0.90      inference('cnf', [status(esa)], [additive_inverse2])).
% 2.19/0.90  thf(zip_derived_cl0, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i]:  (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 2.19/0.90      inference('cnf', [status(esa)], [closure_of_addition])).
% 2.19/0.90  thf(zip_derived_cl7, plain,
% 2.19/0.90      (![X0 : $i]:  (product @ X0 @ multiplicative_identity @ X0)),
% 2.19/0.90      inference('cnf', [status(esa)], [multiplicative_identity2])).
% 2.19/0.90  thf(zip_derived_cl17, plain,
% 2.19/0.90      (![X0 : $i]:  (sum @ X0 @ (inverse @ X0) @ multiplicative_identity)),
% 2.19/0.90      inference('cnf', [status(esa)], [additive_inverse2])).
% 2.19/0.90  thf(distributivity5, axiom,
% 2.19/0.90    (( ~( sum @ X @ Y @ V1 ) ) | ( ~( sum @ X @ Z @ V2 ) ) | 
% 2.19/0.90     ( ~( product @ Y @ Z @ V3 ) ) | ( ~( sum @ X @ V3 @ V4 ) ) | 
% 2.19/0.90     ( product @ V1 @ V2 @ V4 ))).
% 2.19/0.90  thf(zip_derived_cl12, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 2.19/0.90         (~ (sum @ X0 @ X1 @ X2)
% 2.19/0.90          | ~ (sum @ X0 @ X3 @ X4)
% 2.19/0.90          | ~ (product @ X1 @ X3 @ X5)
% 2.19/0.90          | ~ (sum @ X0 @ X5 @ X6)
% 2.19/0.90          |  (product @ X2 @ X4 @ X6))),
% 2.19/0.90      inference('cnf', [status(esa)], [distributivity5])).
% 2.19/0.90  thf(zip_derived_cl52, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.19/0.90         ( (product @ multiplicative_identity @ X2 @ X1)
% 2.19/0.90          | ~ (sum @ X0 @ X3 @ X1)
% 2.19/0.90          | ~ (product @ (inverse @ X0) @ X4 @ X3)
% 2.19/0.90          | ~ (sum @ X0 @ X4 @ X2))),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl12])).
% 2.19/0.90  thf(zip_derived_cl306, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.19/0.90         (~ (sum @ X0 @ multiplicative_identity @ X1)
% 2.19/0.90          | ~ (sum @ X0 @ (inverse @ X0) @ X2)
% 2.19/0.90          |  (product @ multiplicative_identity @ X1 @ X2))),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl52])).
% 2.19/0.90  thf(zip_derived_cl397, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i]:
% 2.19/0.90         ( (product @ multiplicative_identity @ 
% 2.19/0.90            (add @ X0 @ multiplicative_identity) @ X1)
% 2.19/0.90          | ~ (sum @ X0 @ (inverse @ X0) @ X1))),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl306])).
% 2.19/0.90  thf(zip_derived_cl927, plain,
% 2.19/0.90      (![X0 : $i]:
% 2.19/0.90          (product @ multiplicative_identity @ 
% 2.19/0.90           (add @ X0 @ multiplicative_identity) @ multiplicative_identity)),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl397])).
% 2.19/0.90  thf(multiplicative_identity1, axiom,
% 2.19/0.90    (product @ multiplicative_identity @ X @ X)).
% 2.19/0.90  thf(zip_derived_cl6, plain,
% 2.19/0.90      (![X0 : $i]:  (product @ multiplicative_identity @ X0 @ X0)),
% 2.19/0.90      inference('cnf', [status(esa)], [multiplicative_identity1])).
% 2.19/0.90  thf(multiplication_is_well_defined, axiom,
% 2.19/0.90    (( ~( product @ X @ Y @ U ) ) | ( ~( product @ X @ Y @ V ) ) | 
% 2.19/0.90     ( ( U ) = ( V ) ))).
% 2.19/0.90  thf(zip_derived_cl21, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.19/0.90         (~ (product @ X0 @ X1 @ X2)
% 2.19/0.90          | ~ (product @ X0 @ X1 @ X3)
% 2.19/0.90          | ((X2) = (X3)))),
% 2.19/0.90      inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 2.19/0.90  thf(zip_derived_cl46, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i]:
% 2.19/0.90         (((X0) = (X1)) | ~ (product @ multiplicative_identity @ X0 @ X1))),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl21])).
% 2.19/0.90  thf(zip_derived_cl948, plain,
% 2.19/0.90      (![X0 : $i]:
% 2.19/0.90         ((add @ X0 @ multiplicative_identity) = (multiplicative_identity))),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl927, zip_derived_cl46])).
% 2.19/0.90  thf(zip_derived_cl948, plain,
% 2.19/0.90      (![X0 : $i]:
% 2.19/0.90         ((add @ X0 @ multiplicative_identity) = (multiplicative_identity))),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl927, zip_derived_cl46])).
% 2.19/0.90  thf(zip_derived_cl1, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 2.19/0.90      inference('cnf', [status(esa)], [closure_of_multiplication])).
% 2.19/0.90  thf(zip_derived_cl46, plain,
% 2.19/0.90      (![X0 : $i, X1 : $i]:
% 2.19/0.90         (((X0) = (X1)) | ~ (product @ multiplicative_identity @ X0 @ X1))),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl21])).
% 2.19/0.90  thf(zip_derived_cl92, plain,
% 2.19/0.90      (![X0 : $i]: ((X0) = (multiply @ multiplicative_identity @ X0))),
% 2.19/0.90      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl46])).
% 2.19/0.90  thf(zip_derived_cl967, plain,
% 2.19/0.90      (![X0 : $i]:
% 2.19/0.90          (sum @ X0 @ multiplicative_identity @ multiplicative_identity)),
% 2.19/0.90      inference('demod', [status(thm)],
% 2.19/0.90                [zip_derived_cl808, zip_derived_cl948, zip_derived_cl948, 
% 2.19/0.90                 zip_derived_cl92])).
% 2.19/0.90  thf(zip_derived_cl994, plain, ($false),
% 2.19/0.90      inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl967])).
% 2.19/0.90  
% 2.19/0.90  % SZS output end Refutation
% 2.19/0.90  
% 2.19/0.90  
% 2.19/0.90  % Terminating...
% 2.43/0.95  % Runner terminated.
% 2.43/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------