%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP029-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hdJWSlgld8 true
% Computer : n012.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 04:35:28 PM UTC 2025
% Result : Unsatisfiable 1.39s 2.77s
% Output : Refutation 1.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.09 % Problem : GRP029-1 : TPTP v9.2.0. Released v1.0.0.
% 0.12/1.19 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hdJWSlgld8 true
% 0.13/1.57 % Computer : n012.cluster.edu
% 0.13/1.57 % Model : x86_64 x86_64
% 0.13/1.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/1.57 % Memory : 8042.1875MB
% 0.13/1.57 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/1.58 % CPULimit : 300
% 0.13/1.58 % WCLimit : 300
% 0.13/1.58 % DateTime : Wed Oct 1 14:25:39 EDT 2025
% 0.13/1.59 % CPUTime :
% 0.13/1.59 % Running portfolio for 300 s
% 0.13/1.59 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/1.60 % Number of cores: 8
% 0.18/1.62 % Python version: Python 3.6.8
% 0.18/1.63 % Running in FO mode
% 0.54/2.33 % Total configuration time : 435
% 0.54/2.33 % Estimated wc time : 1092
% 0.54/2.33 % Estimated cpu time (7 cpus) : 156.0
% 0.96/2.47 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.22/2.60 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.22/2.65 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.24/2.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.24/2.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.24/2.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.39/2.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.39/2.77 % Solved by fo/fo6_bce.sh.
% 1.39/2.77 % BCE start: 7
% 1.39/2.77 % BCE eliminated: 0
% 1.39/2.77 % PE start: 7
% 1.39/2.77 logic: eq
% 1.39/2.77 % PE eliminated: 0
% 1.39/2.77 % done 100 iterations in 0.142s
% 1.39/2.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/2.77 % SZS output start Refutation
% 1.39/2.77 thf(product_type, type, product: $i > $i > $i > $o).
% 1.39/2.77 thf(not_right_identity_type, type, not_right_identity: $i > $i).
% 1.39/2.77 thf(identity_type, type, identity: $i).
% 1.39/2.77 thf(inverse_type, type, inverse: $i > $i).
% 1.39/2.77 thf(left_identity, axiom, (product @ identity @ A @ A)).
% 1.39/2.77 thf(zip_derived_cl4, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 1.39/2.77 inference('cnf', [status(esa)], [left_identity])).
% 1.39/2.77 thf(left_inverse, axiom, (product @ ( inverse @ A ) @ A @ identity)).
% 1.39/2.77 thf(zip_derived_cl5, plain,
% 1.39/2.77 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 1.39/2.77 inference('cnf', [status(esa)], [left_inverse])).
% 1.39/2.77 thf(zip_derived_cl4, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 1.39/2.77 inference('cnf', [status(esa)], [left_identity])).
% 1.39/2.77 thf(zip_derived_cl5, plain,
% 1.39/2.77 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 1.39/2.77 inference('cnf', [status(esa)], [left_inverse])).
% 1.39/2.77 thf(associativity1, axiom,
% 1.39/2.77 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 1.39/2.77 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 1.39/2.77 thf(zip_derived_cl2, plain,
% 1.39/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.39/2.77 (~ (product @ X0 @ X1 @ X2)
% 1.39/2.77 | ~ (product @ X1 @ X3 @ X4)
% 1.39/2.77 | ~ (product @ X2 @ X3 @ X5)
% 1.39/2.77 | (product @ X0 @ X4 @ X5))),
% 1.39/2.77 inference('cnf', [status(esa)], [associativity1])).
% 1.39/2.77 thf(zip_derived_cl44, plain,
% 1.39/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.39/2.77 (~ (product @ X0 @ X2 @ X1)
% 1.39/2.77 | ~ (product @ identity @ X2 @ X3)
% 1.39/2.77 | (product @ (inverse @ X0) @ X1 @ X3))),
% 1.39/2.77 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 1.39/2.77 thf(zip_derived_cl96, plain,
% 1.39/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.39/2.77 (~ (product @ X2 @ X0 @ X1) | (product @ (inverse @ X2) @ X1 @ X0))),
% 1.39/2.77 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl44])).
% 1.39/2.77 thf(associativity2, axiom,
% 1.39/2.77 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 1.39/2.77 ( ~( product @ X @ V @ W ) ) | ( product @ U @ Z @ W ))).
% 1.39/2.77 thf(zip_derived_cl3, plain,
% 1.39/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.39/2.77 (~ (product @ X0 @ X1 @ X2)
% 1.39/2.77 | ~ (product @ X1 @ X3 @ X4)
% 1.39/2.77 | ~ (product @ X0 @ X4 @ X5)
% 1.39/2.77 | (product @ X2 @ X3 @ X5))),
% 1.39/2.77 inference('cnf', [status(esa)], [associativity2])).
% 1.39/2.77 thf(zip_derived_cl52, plain,
% 1.39/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.39/2.77 ( (product @ X0 @ X3 @ X0)
% 1.39/2.77 | ~ (product @ X2 @ X1 @ X0)
% 1.39/2.77 | ~ (product @ X1 @ X3 @ X1))),
% 1.39/2.77 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 1.39/2.77 thf(zip_derived_cl275, plain,
% 1.39/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.39/2.77 (~ (product @ X2 @ X0 @ X1)
% 1.39/2.77 | (product @ X0 @ X3 @ X0)
% 1.39/2.77 | ~ (product @ X1 @ X3 @ X1))),
% 1.39/2.77 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl52])).
% 1.39/2.77 thf(zip_derived_cl309, plain,
% 1.39/2.77 (![X0 : $i, X1 : $i]:
% 1.39/2.77 ( (product @ X0 @ X1 @ X0) | ~ (product @ identity @ X1 @ identity))),
% 1.39/2.77 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl275])).
% 1.39/2.77 thf(zip_derived_cl485, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 1.39/2.77 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl309])).
% 1.39/2.77 thf(prove_there_is_a_right_identity, conjecture,
% 1.39/2.77 (product @ ( not_right_identity @ A ) @ A @ ( not_right_identity @ A ))).
% 1.39/2.77 thf(zf_stmt_0, negated_conjecture,
% 1.39/2.77 (~( product @ ( not_right_identity @ A ) @ A @ ( not_right_identity @ A ) )),
% 1.39/2.77 inference('cnf.neg', [status(esa)], [prove_there_is_a_right_identity])).
% 1.39/2.77 thf(zip_derived_cl6, plain,
% 1.39/2.77 (![X0 : $i]:
% 1.39/2.77 ~ (product @ (not_right_identity @ X0) @ X0 @
% 1.39/2.77 (not_right_identity @ X0))),
% 1.39/2.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.39/2.77 thf(zip_derived_cl517, plain, ($false),
% 1.39/2.77 inference('s_sup-', [status(thm)], [zip_derived_cl485, zip_derived_cl6])).
% 1.39/2.77
% 1.39/2.77 % SZS output end Refutation
% 1.39/2.77
% 1.39/2.77
% 1.39/2.77 % Terminating...
% 1.58/2.92 % Runner terminated.
% 1.58/2.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------