TSTP Solution File: BOO010-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : BOO010-1 : 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.6s8legxYCP true

% Computer : n002.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 18:13:15 EDT 2023

% Result   : Unsatisfiable 1.32s 1.31s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : BOO010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6s8legxYCP true
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 08:27:33 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 1.07/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.07/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/1.31  % Solved by fo/fo3_bce.sh.
% 1.32/1.31  % BCE start: 23
% 1.32/1.31  % BCE eliminated: 0
% 1.32/1.31  % PE start: 23
% 1.32/1.31  logic: eq
% 1.32/1.31  % PE eliminated: 0
% 1.32/1.31  % done 1194 iterations in 0.570s
% 1.32/1.31  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.32/1.31  % SZS output start Refutation
% 1.32/1.31  thf(sum_type, type, sum: $i > $i > $i > $o).
% 1.32/1.31  thf(y_type, type, y: $i).
% 1.32/1.31  thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 1.32/1.31  thf(inverse_type, type, inverse: $i > $i).
% 1.32/1.31  thf(x_type, type, x: $i).
% 1.32/1.31  thf(multiply_type, type, multiply: $i > $i > $i).
% 1.32/1.31  thf(product_type, type, product: $i > $i > $i > $o).
% 1.32/1.31  thf(add_type, type, add: $i > $i > $i).
% 1.32/1.31  thf(additive_identity_type, type, additive_identity: $i).
% 1.32/1.31  thf(prove_equations, conjecture, (sum @ x @ ( multiply @ x @ y ) @ x)).
% 1.32/1.31  thf(zf_stmt_0, negated_conjecture, (~( sum @ x @ ( multiply @ x @ y ) @ x )),
% 1.32/1.31    inference('cnf.neg', [status(esa)], [prove_equations])).
% 1.32/1.31  thf(zip_derived_cl22, plain, (~ (sum @ x @ (multiply @ x @ y) @ x)),
% 1.32/1.31      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/1.31  thf(multiplicative_identity2, axiom,
% 1.32/1.31    (product @ X @ multiplicative_identity @ X)).
% 1.32/1.31  thf(zip_derived_cl7, plain,
% 1.32/1.31      (![X0 : $i]:  (product @ X0 @ multiplicative_identity @ X0)),
% 1.32/1.31      inference('cnf', [status(esa)], [multiplicative_identity2])).
% 1.32/1.31  thf(zip_derived_cl7, plain,
% 1.32/1.31      (![X0 : $i]:  (product @ X0 @ multiplicative_identity @ X0)),
% 1.32/1.31      inference('cnf', [status(esa)], [multiplicative_identity2])).
% 1.32/1.31  thf(distributivity1, axiom,
% 1.32/1.31    (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) | 
% 1.32/1.31     ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( product @ X @ V3 @ V4 ) ) | 
% 1.32/1.31     ( sum @ V1 @ V2 @ V4 ))).
% 1.32/1.31  thf(zip_derived_cl8, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.32/1.31         (~ (product @ X0 @ X1 @ X2)
% 1.32/1.31          | ~ (product @ X0 @ X3 @ X4)
% 1.32/1.31          | ~ (sum @ X1 @ X3 @ X5)
% 1.32/1.31          | ~ (product @ X0 @ X5 @ X6)
% 1.32/1.31          |  (sum @ X2 @ X4 @ X6))),
% 1.32/1.31      inference('cnf', [status(esa)], [distributivity1])).
% 1.32/1.31  thf(zip_derived_cl186, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.32/1.31         ( (sum @ X0 @ X2 @ X1)
% 1.32/1.31          | ~ (product @ X0 @ X3 @ X1)
% 1.32/1.31          | ~ (sum @ multiplicative_identity @ X4 @ X3)
% 1.32/1.31          | ~ (product @ X0 @ X4 @ X2))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 1.32/1.31  thf(zip_derived_cl423, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.31         (~ (product @ X0 @ X2 @ X1)
% 1.32/1.31          | ~ (sum @ multiplicative_identity @ X2 @ multiplicative_identity)
% 1.32/1.31          |  (sum @ X0 @ X1 @ X0))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl186])).
% 1.32/1.31  thf(closure_of_multiplication, axiom,
% 1.32/1.31    (product @ X @ Y @ ( multiply @ X @ Y ))).
% 1.32/1.31  thf(zip_derived_cl1, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.32/1.31      inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.32/1.31  thf(zip_derived_cl487, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:
% 1.32/1.31         ( (sum @ X1 @ (multiply @ X1 @ X0) @ X1)
% 1.32/1.31          | ~ (sum @ multiplicative_identity @ X0 @ multiplicative_identity))),
% 1.32/1.31      inference('sup+', [status(thm)], [zip_derived_cl423, zip_derived_cl1])).
% 1.32/1.31  thf(closure_of_addition, axiom, (sum @ X @ Y @ ( add @ X @ Y ))).
% 1.32/1.31  thf(zip_derived_cl0, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:  (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 1.32/1.31      inference('cnf', [status(esa)], [closure_of_addition])).
% 1.32/1.31  thf(additive_identity2, axiom, (sum @ X @ additive_identity @ X)).
% 1.32/1.31  thf(zip_derived_cl5, plain,
% 1.32/1.31      (![X0 : $i]:  (sum @ X0 @ additive_identity @ X0)),
% 1.32/1.31      inference('cnf', [status(esa)], [additive_identity2])).
% 1.32/1.31  thf(zip_derived_cl5, plain,
% 1.32/1.31      (![X0 : $i]:  (sum @ X0 @ additive_identity @ X0)),
% 1.32/1.31      inference('cnf', [status(esa)], [additive_identity2])).
% 1.32/1.31  thf(distributivity5, axiom,
% 1.32/1.31    (( ~( sum @ X @ Y @ V1 ) ) | ( ~( sum @ X @ Z @ V2 ) ) | 
% 1.32/1.31     ( ~( product @ Y @ Z @ V3 ) ) | ( ~( sum @ X @ V3 @ V4 ) ) | 
% 1.32/1.31     ( product @ V1 @ V2 @ V4 ))).
% 1.32/1.31  thf(zip_derived_cl12, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.32/1.31         (~ (sum @ X0 @ X1 @ X2)
% 1.32/1.31          | ~ (sum @ X0 @ X3 @ X4)
% 1.32/1.31          | ~ (product @ X1 @ X3 @ X5)
% 1.32/1.31          | ~ (sum @ X0 @ X5 @ X6)
% 1.32/1.31          |  (product @ X2 @ X4 @ X6))),
% 1.32/1.31      inference('cnf', [status(esa)], [distributivity5])).
% 1.32/1.31  thf(zip_derived_cl199, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.32/1.31         ( (product @ X0 @ X2 @ X1)
% 1.32/1.31          | ~ (sum @ X0 @ X3 @ X1)
% 1.32/1.31          | ~ (product @ additive_identity @ X4 @ X3)
% 1.32/1.31          | ~ (sum @ X0 @ X4 @ X2))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl12])).
% 1.32/1.31  thf(zip_derived_cl745, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.31         (~ (sum @ X0 @ X2 @ X1)
% 1.32/1.31          | ~ (product @ additive_identity @ X2 @ additive_identity)
% 1.32/1.31          |  (product @ X0 @ X1 @ X0))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl199])).
% 1.32/1.31  thf(zip_derived_cl5, plain,
% 1.32/1.31      (![X0 : $i]:  (sum @ X0 @ additive_identity @ X0)),
% 1.32/1.31      inference('cnf', [status(esa)], [additive_identity2])).
% 1.32/1.31  thf(multiplicative_inverse2, axiom,
% 1.32/1.31    (product @ X @ ( inverse @ X ) @ additive_identity)).
% 1.32/1.31  thf(zip_derived_cl19, plain,
% 1.32/1.31      (![X0 : $i]:  (product @ X0 @ (inverse @ X0) @ additive_identity)),
% 1.32/1.31      inference('cnf', [status(esa)], [multiplicative_inverse2])).
% 1.32/1.31  thf(zip_derived_cl1, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.32/1.31      inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.32/1.31  thf(zip_derived_cl8, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.32/1.31         (~ (product @ X0 @ X1 @ X2)
% 1.32/1.31          | ~ (product @ X0 @ X3 @ X4)
% 1.32/1.31          | ~ (sum @ X1 @ X3 @ X5)
% 1.32/1.31          | ~ (product @ X0 @ X5 @ X6)
% 1.32/1.31          |  (sum @ X2 @ X4 @ X6))),
% 1.32/1.31      inference('cnf', [status(esa)], [distributivity1])).
% 1.32/1.31  thf(zip_derived_cl185, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.32/1.31         ( (sum @ (multiply @ X1 @ X0) @ X3 @ X2)
% 1.32/1.31          | ~ (product @ X1 @ X4 @ X2)
% 1.32/1.31          | ~ (sum @ X0 @ X5 @ X4)
% 1.32/1.31          | ~ (product @ X1 @ X5 @ X3))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl8])).
% 1.32/1.31  thf(zip_derived_cl411, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.31         (~ (product @ X0 @ X2 @ X1)
% 1.32/1.31          | ~ (sum @ X3 @ X2 @ (inverse @ X0))
% 1.32/1.31          |  (sum @ (multiply @ X0 @ X3) @ X1 @ additive_identity))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl185])).
% 1.32/1.31  thf(zip_derived_cl3033, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:
% 1.32/1.31         ( (sum @ (multiply @ X0 @ (inverse @ X0)) @ X1 @ additive_identity)
% 1.32/1.31          | ~ (product @ X0 @ additive_identity @ X1))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl411])).
% 1.32/1.31  thf(zip_derived_cl1, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.32/1.31      inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.32/1.31  thf(commutativity_of_multiplication, axiom,
% 1.32/1.31    (( ~( product @ X @ Y @ Z ) ) | ( product @ Y @ X @ Z ))).
% 1.32/1.31  thf(zip_derived_cl3, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.31         (~ (product @ X0 @ X1 @ X2) |  (product @ X1 @ X0 @ X2))),
% 1.32/1.31      inference('cnf', [status(esa)], [commutativity_of_multiplication])).
% 1.32/1.31  thf(zip_derived_cl177, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X1 @ X0))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.32/1.31  thf(multiplicative_inverse1, axiom,
% 1.32/1.31    (product @ ( inverse @ X ) @ X @ additive_identity)).
% 1.32/1.31  thf(zip_derived_cl18, plain,
% 1.32/1.31      (![X0 : $i]:  (product @ (inverse @ X0) @ X0 @ additive_identity)),
% 1.32/1.31      inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 1.32/1.31  thf(multiplication_is_well_defined, axiom,
% 1.32/1.31    (( ~( product @ X @ Y @ U ) ) | ( ~( product @ X @ Y @ V ) ) | 
% 1.32/1.31     ( ( U ) = ( V ) ))).
% 1.32/1.31  thf(zip_derived_cl21, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.31         (~ (product @ X0 @ X1 @ X2)
% 1.32/1.31          | ~ (product @ X0 @ X1 @ X3)
% 1.32/1.31          | ((X2) = (X3)))),
% 1.32/1.31      inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 1.32/1.31  thf(zip_derived_cl180, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:
% 1.32/1.31         (((additive_identity) = (X1)) | ~ (product @ (inverse @ X0) @ X0 @ X1))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl21])).
% 1.32/1.31  thf(zip_derived_cl329, plain,
% 1.32/1.31      (![X0 : $i]: ((additive_identity) = (multiply @ X0 @ (inverse @ X0)))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl177, zip_derived_cl180])).
% 1.32/1.31  thf(zip_derived_cl3047, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:
% 1.32/1.31         ( (sum @ additive_identity @ X1 @ additive_identity)
% 1.32/1.31          | ~ (product @ X0 @ additive_identity @ X1))),
% 1.32/1.31      inference('demod', [status(thm)], [zip_derived_cl3033, zip_derived_cl329])).
% 1.32/1.31  thf(zip_derived_cl1, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.32/1.31      inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.32/1.31  thf(zip_derived_cl3052, plain,
% 1.32/1.31      (![X0 : $i]:
% 1.32/1.31          (sum @ additive_identity @ (multiply @ X0 @ additive_identity) @ 
% 1.32/1.31           additive_identity)),
% 1.32/1.31      inference('sup+', [status(thm)], [zip_derived_cl3047, zip_derived_cl1])).
% 1.32/1.31  thf(additive_identity1, axiom, (sum @ additive_identity @ X @ X)).
% 1.32/1.31  thf(zip_derived_cl4, plain,
% 1.32/1.31      (![X0 : $i]:  (sum @ additive_identity @ X0 @ X0)),
% 1.32/1.31      inference('cnf', [status(esa)], [additive_identity1])).
% 1.32/1.31  thf(addition_is_well_defined, axiom,
% 1.32/1.31    (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ X @ Y @ V ) ) | ( ( U ) = ( V ) ))).
% 1.32/1.31  thf(zip_derived_cl20, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.31         (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 1.32/1.31      inference('cnf', [status(esa)], [addition_is_well_defined])).
% 1.32/1.31  thf(zip_derived_cl151, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:
% 1.32/1.31         (((X0) = (X1)) | ~ (sum @ additive_identity @ X0 @ X1))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl20])).
% 1.32/1.31  thf(zip_derived_cl3107, plain,
% 1.32/1.31      (![X0 : $i]: ((multiply @ X0 @ additive_identity) = (additive_identity))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl3052, zip_derived_cl151])).
% 1.32/1.31  thf(zip_derived_cl177, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X1 @ X0))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.32/1.31  thf(zip_derived_cl3165, plain,
% 1.32/1.31      (![X0 : $i]:  (product @ additive_identity @ X0 @ additive_identity)),
% 1.32/1.31      inference('sup+', [status(thm)], [zip_derived_cl3107, zip_derived_cl177])).
% 1.32/1.31  thf(zip_derived_cl3369, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.31         (~ (sum @ X0 @ X2 @ X1) |  (product @ X0 @ X1 @ X0))),
% 1.32/1.31      inference('demod', [status(thm)], [zip_derived_cl745, zip_derived_cl3165])).
% 1.32/1.31  thf(zip_derived_cl3489, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:  (product @ X1 @ (add @ X1 @ X0) @ X1)),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3369])).
% 1.32/1.31  thf(multiplicative_identity1, axiom,
% 1.32/1.31    (product @ multiplicative_identity @ X @ X)).
% 1.32/1.31  thf(zip_derived_cl6, plain,
% 1.32/1.31      (![X0 : $i]:  (product @ multiplicative_identity @ X0 @ X0)),
% 1.32/1.31      inference('cnf', [status(esa)], [multiplicative_identity1])).
% 1.32/1.31  thf(zip_derived_cl21, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.31         (~ (product @ X0 @ X1 @ X2)
% 1.32/1.31          | ~ (product @ X0 @ X1 @ X3)
% 1.32/1.31          | ((X2) = (X3)))),
% 1.32/1.31      inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 1.32/1.31  thf(zip_derived_cl155, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:
% 1.32/1.31         (((X0) = (X1)) | ~ (product @ multiplicative_identity @ X0 @ X1))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl21])).
% 1.32/1.31  thf(zip_derived_cl3687, plain,
% 1.32/1.31      (![X0 : $i]:
% 1.32/1.31         ((add @ multiplicative_identity @ X0) = (multiplicative_identity))),
% 1.32/1.31      inference('sup-', [status(thm)], [zip_derived_cl3489, zip_derived_cl155])).
% 1.32/1.31  thf(zip_derived_cl0, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:  (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 1.32/1.31      inference('cnf', [status(esa)], [closure_of_addition])).
% 1.32/1.31  thf(zip_derived_cl3751, plain,
% 1.32/1.31      (![X0 : $i]:
% 1.32/1.31          (sum @ multiplicative_identity @ X0 @ multiplicative_identity)),
% 1.32/1.31      inference('sup+', [status(thm)], [zip_derived_cl3687, zip_derived_cl0])).
% 1.32/1.31  thf(zip_derived_cl3766, plain,
% 1.32/1.31      (![X0 : $i, X1 : $i]:  (sum @ X1 @ (multiply @ X1 @ X0) @ X1)),
% 1.32/1.31      inference('demod', [status(thm)], [zip_derived_cl487, zip_derived_cl3751])).
% 1.32/1.31  thf(zip_derived_cl4351, plain, ($false),
% 1.32/1.31      inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl3766])).
% 1.32/1.31  
% 1.32/1.31  % SZS output end Refutation
% 1.32/1.31  
% 1.32/1.31  
% 1.32/1.31  % Terminating...
% 5.30/1.37  % Runner terminated.
% 5.30/1.38  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------