TSTP Solution File: BOO003-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : BOO003-1 : 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.kSfISUstXG true

% Computer : n018.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 18:13:11 EDT 2023

% Result   : Unsatisfiable 1.46s 0.84s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : BOO003-1 : 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.kSfISUstXG true
% 0.14/0.35  % Computer : n018.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 08:53:30 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/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
% 0.23/0.64  % Total configuration time : 435
% 0.23/0.64  % Estimated wc time : 1092
% 0.23/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.46/0.84  % Solved by fo/fo3_bce.sh.
% 1.46/0.84  % BCE start: 23
% 1.46/0.84  % BCE eliminated: 0
% 1.46/0.84  % PE start: 23
% 1.46/0.84  logic: eq
% 1.46/0.84  % PE eliminated: 0
% 1.46/0.84  % done 227 iterations in 0.078s
% 1.46/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.46/0.84  % SZS output start Refutation
% 1.46/0.84  thf(sum_type, type, sum: $i > $i > $i > $o).
% 1.46/0.84  thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 1.46/0.84  thf(inverse_type, type, inverse: $i > $i).
% 1.46/0.84  thf(x_type, type, x: $i).
% 1.46/0.84  thf(multiply_type, type, multiply: $i > $i > $i).
% 1.46/0.84  thf(product_type, type, product: $i > $i > $i > $o).
% 1.46/0.84  thf(additive_identity_type, type, additive_identity: $i).
% 1.46/0.84  thf(prove_both_equalities, conjecture, (product @ x @ x @ x)).
% 1.46/0.84  thf(zf_stmt_0, negated_conjecture, (~( product @ x @ x @ x )),
% 1.46/0.84    inference('cnf.neg', [status(esa)], [prove_both_equalities])).
% 1.46/0.84  thf(zip_derived_cl22, plain, (~ (product @ x @ x @ x)),
% 1.46/0.84      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.46/0.84  thf(closure_of_multiplication, axiom,
% 1.46/0.84    (product @ X @ Y @ ( multiply @ X @ Y ))).
% 1.46/0.84  thf(zip_derived_cl1, plain,
% 1.46/0.84      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.46/0.84      inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.46/0.84  thf(additive_inverse1, axiom,
% 1.46/0.84    (sum @ ( inverse @ X ) @ X @ multiplicative_identity)).
% 1.46/0.84  thf(zip_derived_cl16, plain,
% 1.46/0.84      (![X0 : $i]:  (sum @ (inverse @ X0) @ X0 @ multiplicative_identity)),
% 1.46/0.84      inference('cnf', [status(esa)], [additive_inverse1])).
% 1.46/0.84  thf(multiplicative_inverse2, axiom,
% 1.46/0.84    (product @ X @ ( inverse @ X ) @ additive_identity)).
% 1.46/0.84  thf(zip_derived_cl19, plain,
% 1.46/0.84      (![X0 : $i]:  (product @ X0 @ (inverse @ X0) @ additive_identity)),
% 1.46/0.84      inference('cnf', [status(esa)], [multiplicative_inverse2])).
% 1.46/0.84  thf(distributivity1, axiom,
% 1.46/0.84    (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) | 
% 1.46/0.84     ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( product @ X @ V3 @ V4 ) ) | 
% 1.46/0.84     ( sum @ V1 @ V2 @ V4 ))).
% 1.46/0.84  thf(zip_derived_cl8, plain,
% 1.46/0.84      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.46/0.84         (~ (product @ X0 @ X1 @ X2)
% 1.46/0.84          | ~ (product @ X0 @ X3 @ X4)
% 1.46/0.84          | ~ (sum @ X1 @ X3 @ X5)
% 1.46/0.84          | ~ (product @ X0 @ X5 @ X6)
% 1.46/0.84          |  (sum @ X2 @ X4 @ X6))),
% 1.46/0.84      inference('cnf', [status(esa)], [distributivity1])).
% 1.46/0.84  thf(zip_derived_cl187, plain,
% 1.46/0.84      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.46/0.84         ( (sum @ additive_identity @ X2 @ X1)
% 1.46/0.84          | ~ (product @ X0 @ X3 @ X1)
% 1.46/0.84          | ~ (sum @ (inverse @ X0) @ X4 @ X3)
% 1.46/0.84          | ~ (product @ X0 @ X4 @ X2))),
% 1.46/0.84      inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl8])).
% 1.46/0.84  thf(zip_derived_cl432, plain,
% 1.46/0.84      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.46/0.84         (~ (product @ X0 @ X0 @ X1)
% 1.46/0.84          | ~ (product @ X0 @ multiplicative_identity @ X2)
% 1.46/0.84          |  (sum @ additive_identity @ X1 @ X2))),
% 1.46/0.84      inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl187])).
% 1.46/0.84  thf(zip_derived_cl486, plain,
% 1.46/0.84      (![X0 : $i, X1 : $i]:
% 1.46/0.84         ( (sum @ additive_identity @ (multiply @ X0 @ X0) @ X1)
% 1.46/0.84          | ~ (product @ X0 @ multiplicative_identity @ X1))),
% 1.46/0.84      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl432])).
% 1.46/0.84  thf(multiplicative_identity2, axiom,
% 1.46/0.84    (product @ X @ multiplicative_identity @ X)).
% 1.46/0.84  thf(zip_derived_cl7, plain,
% 1.46/0.84      (![X0 : $i]:  (product @ X0 @ multiplicative_identity @ X0)),
% 1.46/0.84      inference('cnf', [status(esa)], [multiplicative_identity2])).
% 1.46/0.84  thf(zip_derived_cl512, plain,
% 1.46/0.84      (![X0 : $i]:  (sum @ additive_identity @ (multiply @ X0 @ X0) @ X0)),
% 1.46/0.84      inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl7])).
% 1.46/0.84  thf(additive_identity1, axiom, (sum @ additive_identity @ X @ X)).
% 1.46/0.84  thf(zip_derived_cl4, plain,
% 1.46/0.84      (![X0 : $i]:  (sum @ additive_identity @ X0 @ X0)),
% 1.46/0.84      inference('cnf', [status(esa)], [additive_identity1])).
% 1.46/0.84  thf(addition_is_well_defined, axiom,
% 1.46/0.84    (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ X @ Y @ V ) ) | ( ( U ) = ( V ) ))).
% 1.46/0.84  thf(zip_derived_cl20, plain,
% 1.46/0.84      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.46/0.84         (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 1.46/0.84      inference('cnf', [status(esa)], [addition_is_well_defined])).
% 1.46/0.84  thf(zip_derived_cl151, plain,
% 1.46/0.84      (![X0 : $i, X1 : $i]:
% 1.46/0.84         (((X0) = (X1)) | ~ (sum @ additive_identity @ X0 @ X1))),
% 1.46/0.84      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl20])).
% 1.46/0.84  thf(zip_derived_cl537, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 1.46/0.84      inference('sup-', [status(thm)], [zip_derived_cl512, zip_derived_cl151])).
% 1.46/0.84  thf(zip_derived_cl1, plain,
% 1.46/0.84      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.46/0.84      inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.46/0.84  thf(zip_derived_cl547, plain, (![X0 : $i]:  (product @ X0 @ X0 @ X0)),
% 1.46/0.84      inference('sup+', [status(thm)], [zip_derived_cl537, zip_derived_cl1])).
% 1.46/0.84  thf(zip_derived_cl557, plain, ($false),
% 1.46/0.84      inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl547])).
% 1.46/0.84  
% 1.46/0.84  % SZS output end Refutation
% 1.46/0.84  
% 1.46/0.84  
% 1.46/0.84  % Terminating...
% 1.70/0.94  % Runner terminated.
% 1.84/0.95  % Zipperpin 1.5 exiting
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