%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO013-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lcyds4t6bg 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 : Thu Oct 2 04:29:46 PM UTC 2025
% Result : Unsatisfiable 3.42s 1.11s
% Output : Refutation 3.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO013-1 : TPTP v9.2.0. Released v1.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lcyds4t6bg true
% 0.13/0.35 % Computer : n018.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 : Wed Oct 1 13:55:23 EDT 2025
% 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
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.59/0.69 % Total configuration time : 435
% 0.59/0.69 % Estimated wc time : 1092
% 0.59/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.42/1.11 % Solved by fo/fo13.sh.
% 3.42/1.11 % done 388 iterations in 0.302s
% 3.42/1.11 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.42/1.11 % SZS output start Refutation
% 3.42/1.11 thf(sum_type, type, sum: $i > $i > $i > $o).
% 3.42/1.11 thf(y_type, type, y: $i).
% 3.42/1.11 thf(z_type, type, z: $i).
% 3.42/1.11 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 3.42/1.11 thf(x_type, type, x: $i).
% 3.42/1.11 thf(multiply_type, type, multiply: $i > $i > $i).
% 3.42/1.11 thf(product_type, type, product: $i > $i > $i > $o).
% 3.42/1.11 thf(additive_identity_type, type, additive_identity: $i).
% 3.42/1.11 thf(multiplicative_identity2, axiom,
% 3.42/1.11 (product @ X @ multiplicative_identity @ X)).
% 3.42/1.11 thf(zip_derived_cl7, plain,
% 3.42/1.11 (![X0 : $i]: (product @ X0 @ multiplicative_identity @ X0)),
% 3.42/1.11 inference('cnf', [status(esa)], [multiplicative_identity2])).
% 3.42/1.11 thf(closure_of_multiplication, axiom,
% 3.42/1.11 (product @ X @ Y @ ( multiply @ X @ Y ))).
% 3.42/1.11 thf(zip_derived_cl1, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 3.42/1.11 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 3.42/1.11 thf(additive_identity1, axiom, (sum @ additive_identity @ X @ X)).
% 3.42/1.11 thf(zip_derived_cl4, plain,
% 3.42/1.11 (![X0 : $i]: (sum @ additive_identity @ X0 @ X0)),
% 3.42/1.11 inference('cnf', [status(esa)], [additive_identity1])).
% 3.42/1.11 thf(product_to_additive_identity2, conjecture,
% 3.42/1.11 (~( product @ x @ z @ additive_identity ))).
% 3.42/1.11 thf(zf_stmt_0, negated_conjecture, (product @ x @ z @ additive_identity),
% 3.42/1.11 inference('cnf.neg', [status(esa)], [product_to_additive_identity2])).
% 3.42/1.11 thf(zip_derived_cl25, plain, ( (product @ x @ z @ additive_identity)),
% 3.42/1.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.42/1.11 thf(commutativity_of_multiplication, axiom,
% 3.42/1.11 (( ~( product @ X @ Y @ Z ) ) | ( product @ Y @ X @ Z ))).
% 3.42/1.11 thf(zip_derived_cl3, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.42/1.11 (~ (product @ X0 @ X1 @ X2) | (product @ X1 @ X0 @ X2))),
% 3.42/1.11 inference('cnf', [status(esa)], [commutativity_of_multiplication])).
% 3.42/1.11 thf(zip_derived_cl66, plain, ( (product @ z @ x @ additive_identity)),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl3])).
% 3.42/1.11 thf(sum_to_multiplicative_identity1, conjecture,
% 3.42/1.11 (~( sum @ x @ y @ multiplicative_identity ))).
% 3.42/1.11 thf(zf_stmt_1, negated_conjecture, (sum @ x @ y @ multiplicative_identity),
% 3.42/1.11 inference('cnf.neg', [status(esa)], [sum_to_multiplicative_identity1])).
% 3.42/1.11 thf(zip_derived_cl22, plain, ( (sum @ x @ y @ multiplicative_identity)),
% 3.42/1.11 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.42/1.11 thf(distributivity2, axiom,
% 3.42/1.11 (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) |
% 3.42/1.11 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( sum @ V1 @ V2 @ V4 ) ) |
% 3.42/1.11 ( product @ X @ V3 @ V4 ))).
% 3.42/1.11 thf(zip_derived_cl9, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.42/1.11 (~ (product @ X0 @ X1 @ X2)
% 3.42/1.11 | ~ (product @ X0 @ X3 @ X4)
% 3.42/1.11 | ~ (sum @ X1 @ X3 @ X5)
% 3.42/1.11 | ~ (sum @ X2 @ X4 @ X6)
% 3.42/1.11 | (product @ X0 @ X5 @ X6))),
% 3.42/1.11 inference('cnf', [status(esa)], [distributivity2])).
% 3.42/1.11 thf(zip_derived_cl99, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.42/1.11 (~ (product @ X1 @ x @ X0)
% 3.42/1.11 | ~ (product @ X1 @ y @ X2)
% 3.42/1.11 | ~ (sum @ X0 @ X2 @ X3)
% 3.42/1.11 | (product @ X1 @ multiplicative_identity @ X3))),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl9])).
% 3.42/1.11 thf(zip_derived_cl131, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i]:
% 3.42/1.11 (~ (product @ z @ y @ X0)
% 3.42/1.11 | ~ (sum @ additive_identity @ X0 @ X1)
% 3.42/1.11 | (product @ z @ multiplicative_identity @ X1))),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl99])).
% 3.42/1.11 thf(zip_derived_cl190, plain,
% 3.42/1.11 (![X0 : $i]:
% 3.42/1.11 (~ (product @ z @ y @ X0)
% 3.42/1.11 | (product @ z @ multiplicative_identity @ X0))),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl131])).
% 3.42/1.11 thf(zip_derived_cl193, plain,
% 3.42/1.11 ( (product @ z @ multiplicative_identity @ (multiply @ z @ y))),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl190])).
% 3.42/1.11 thf(zip_derived_cl7, plain,
% 3.42/1.11 (![X0 : $i]: (product @ X0 @ multiplicative_identity @ X0)),
% 3.42/1.11 inference('cnf', [status(esa)], [multiplicative_identity2])).
% 3.42/1.11 thf(multiplication_is_well_defined, axiom,
% 3.42/1.11 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ X @ Y @ V ) ) |
% 3.42/1.11 ( ( U ) = ( V ) ))).
% 3.42/1.11 thf(zip_derived_cl21, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.42/1.11 (~ (product @ X0 @ X1 @ X2)
% 3.42/1.11 | ~ (product @ X0 @ X1 @ X3)
% 3.42/1.11 | ((X2) = (X3)))),
% 3.42/1.11 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 3.42/1.11 thf(zip_derived_cl79, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i]:
% 3.42/1.11 (~ (product @ X0 @ multiplicative_identity @ X1) | ((X0) = (X1)))),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl21])).
% 3.42/1.11 thf(zip_derived_cl198, plain, (((z) = (multiply @ z @ y))),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl79])).
% 3.42/1.11 thf(zip_derived_cl1, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 3.42/1.11 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 3.42/1.11 thf(zip_derived_cl200, plain, ( (product @ z @ y @ z)),
% 3.42/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 3.42/1.11 thf(zip_derived_cl3, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.42/1.11 (~ (product @ X0 @ X1 @ X2) | (product @ X1 @ X0 @ X2))),
% 3.42/1.11 inference('cnf', [status(esa)], [commutativity_of_multiplication])).
% 3.42/1.11 thf(zip_derived_cl201, plain, ( (product @ y @ z @ z)),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl200, zip_derived_cl3])).
% 3.42/1.11 thf(product_to_additive_identity1, conjecture,
% 3.42/1.11 (~( product @ x @ y @ additive_identity ))).
% 3.42/1.11 thf(zf_stmt_2, negated_conjecture, (product @ x @ y @ additive_identity),
% 3.42/1.11 inference('cnf.neg', [status(esa)], [product_to_additive_identity1])).
% 3.42/1.11 thf(zip_derived_cl24, plain, ( (product @ x @ y @ additive_identity)),
% 3.42/1.11 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.42/1.11 thf(zip_derived_cl3, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.42/1.11 (~ (product @ X0 @ X1 @ X2) | (product @ X1 @ X0 @ X2))),
% 3.42/1.11 inference('cnf', [status(esa)], [commutativity_of_multiplication])).
% 3.42/1.11 thf(zip_derived_cl65, plain, ( (product @ y @ x @ additive_identity)),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl3])).
% 3.42/1.11 thf(distributivity1, axiom,
% 3.42/1.11 (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) |
% 3.42/1.11 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( product @ X @ V3 @ V4 ) ) |
% 3.42/1.11 ( sum @ V1 @ V2 @ V4 ))).
% 3.42/1.11 thf(zip_derived_cl8, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.42/1.11 (~ (product @ X0 @ X1 @ X2)
% 3.42/1.11 | ~ (product @ X0 @ X3 @ X4)
% 3.42/1.11 | ~ (sum @ X1 @ X3 @ X5)
% 3.42/1.11 | ~ (product @ X0 @ X5 @ X6)
% 3.42/1.11 | (sum @ X2 @ X4 @ X6))),
% 3.42/1.11 inference('cnf', [status(esa)], [distributivity1])).
% 3.42/1.11 thf(zip_derived_cl76, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.42/1.11 (~ (product @ y @ X1 @ X0)
% 3.42/1.11 | ~ (sum @ x @ X1 @ X2)
% 3.42/1.11 | ~ (product @ y @ X2 @ X3)
% 3.42/1.11 | (sum @ additive_identity @ X0 @ X3))),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl8])).
% 3.42/1.11 thf(zip_derived_cl566, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i]:
% 3.42/1.11 (~ (sum @ x @ z @ X0)
% 3.42/1.11 | ~ (product @ y @ X0 @ X1)
% 3.42/1.11 | (sum @ additive_identity @ z @ X1))),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl76])).
% 3.42/1.11 thf(zip_derived_cl894, plain,
% 3.42/1.11 ((~ (sum @ x @ z @ multiplicative_identity)
% 3.42/1.11 | (sum @ additive_identity @ z @ y))),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl566])).
% 3.42/1.11 thf(sum_to_multiplicative_identity2, conjecture,
% 3.42/1.11 (~( sum @ x @ z @ multiplicative_identity ))).
% 3.42/1.11 thf(zf_stmt_3, negated_conjecture, (sum @ x @ z @ multiplicative_identity),
% 3.42/1.11 inference('cnf.neg', [status(esa)], [sum_to_multiplicative_identity2])).
% 3.42/1.11 thf(zip_derived_cl23, plain, ( (sum @ x @ z @ multiplicative_identity)),
% 3.42/1.11 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.42/1.11 thf(zip_derived_cl899, plain, ( (sum @ additive_identity @ z @ y)),
% 3.42/1.11 inference('demod', [status(thm)], [zip_derived_cl894, zip_derived_cl23])).
% 3.42/1.11 thf(zip_derived_cl4, plain,
% 3.42/1.11 (![X0 : $i]: (sum @ additive_identity @ X0 @ X0)),
% 3.42/1.11 inference('cnf', [status(esa)], [additive_identity1])).
% 3.42/1.11 thf(addition_is_well_defined, axiom,
% 3.42/1.11 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ X @ Y @ V ) ) | ( ( U ) = ( V ) ))).
% 3.42/1.11 thf(zip_derived_cl20, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.42/1.11 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 3.42/1.11 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 3.42/1.11 thf(zip_derived_cl30, plain,
% 3.42/1.11 (![X0 : $i, X1 : $i]:
% 3.42/1.11 (~ (sum @ additive_identity @ X0 @ X1) | ((X0) = (X1)))),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl20])).
% 3.42/1.11 thf(zip_derived_cl909, plain, (((z) = (y))),
% 3.42/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl899, zip_derived_cl30])).
% 3.42/1.11 thf(prove_both_inverse_are_equal, conjecture, (( y ) = ( z ))).
% 3.42/1.11 thf(zf_stmt_4, negated_conjecture, (( y ) != ( z )),
% 3.42/1.11 inference('cnf.neg', [status(esa)], [prove_both_inverse_are_equal])).
% 3.42/1.11 thf(zip_derived_cl26, plain, (((y) != (z))),
% 3.42/1.11 inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.42/1.11 thf(zip_derived_cl913, plain, ($false),
% 3.42/1.11 inference('simplify_reflect-', [status(thm)],
% 3.42/1.11 [zip_derived_cl909, zip_derived_cl26])).
% 3.42/1.11
% 3.42/1.11 % SZS output end Refutation
% 3.42/1.11
% 3.42/1.11
% 3.42/1.11 % Terminating...
% 4.00/1.20 % Runner terminated.
% 4.00/1.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------