%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL143-1 : TPTP v9.3.1. 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.kBNYyuUrKX true
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:17 PM UTC 2026
% Result : Unsatisfiable 0.56s 0.90s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kBNYyuUrKX true
% 0.14/0.37 % Computer : n028.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8046.5625MB
% 0.14/0.37 % OS : Linux 6.8.0-71-generic
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri Sep 4 23:47:14 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.12.3
% 0.14/0.38 % Running in FO mode
% 0.54/0.73 % Total configuration time : 435
% 0.54/0.73 % Estimated wc time : 1092
% 0.54/0.73 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.90 % Solved by fo/fo6_bce.sh.
% 0.56/0.90 % BCE start: 10
% 0.56/0.90 % BCE eliminated: 0
% 0.56/0.90 % PE start: 10
% 0.56/0.90 logic: eq
% 0.56/0.90 % PE eliminated: 1
% 0.56/0.90 % done 6 iterations in 0.020s
% 0.56/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.90 % SZS output start Refutation
% 0.56/0.90 thf(x_type, type, x: $i).
% 0.56/0.90 thf(z_type, type, z: $i).
% 0.56/0.90 thf(y_type, type, y: $i).
% 0.56/0.90 thf(truth_type, type, truth: $i).
% 0.56/0.90 thf(implies_type, type, implies: $i > $i > $i).
% 0.56/0.90 thf(ordered_type, type, ordered: $i > $i > $o).
% 0.56/0.90 thf(partial_order_definition2, axiom,
% 0.56/0.90 (( ( implies @ X @ Y ) != ( truth ) ) | ( ordered @ X @ Y ))).
% 0.56/0.90 thf(zip_derived_cl7, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (((implies @ X0 @ X1) != (truth)) | (ordered @ X0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [partial_order_definition2])).
% 0.56/0.90 thf(prove_wajsberg_theorem, conjecture,
% 0.56/0.90 (ordered @ ( implies @ z @ x ) @ ( implies @ z @ y ))).
% 0.56/0.90 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.90 (~( ordered @ ( implies @ z @ x ) @ ( implies @ z @ y ) )),
% 0.56/0.90 inference('cnf.neg', [status(esa)], [prove_wajsberg_theorem])).
% 0.56/0.90 thf(zip_derived_cl9, plain,
% 0.56/0.90 (~ (ordered @ (implies @ z @ x) @ (implies @ z @ y))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.90 thf(zip_derived_cl23, plain,
% 0.56/0.90 (((implies @ (implies @ z @ x) @ (implies @ z @ y)) != (truth))),
% 0.56/0.90 inference('dp-resolution', [status(thm)],
% 0.56/0.90 [zip_derived_cl7, zip_derived_cl9])).
% 0.56/0.90 thf(antecedent, conjecture, (~( ordered @ x @ y ))).
% 0.56/0.90 thf(zf_stmt_1, negated_conjecture, (ordered @ x @ y),
% 0.56/0.90 inference('cnf.neg', [status(esa)], [antecedent])).
% 0.56/0.90 thf(zip_derived_cl8, plain, ( (ordered @ x @ y)),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.90 thf(partial_order_definition1, axiom,
% 0.56/0.90 (( ~( ordered @ X @ Y ) ) | ( ( implies @ X @ Y ) = ( truth ) ))).
% 0.56/0.90 thf(zip_derived_cl6, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (ordered @ X0 @ X1) | ((implies @ X0 @ X1) = (truth)))),
% 0.56/0.90 inference('cnf', [status(esa)], [partial_order_definition1])).
% 0.56/0.90 thf(zip_derived_cl24, plain, (((implies @ x @ y) = (truth))),
% 0.56/0.90 inference('dp-resolution', [status(thm)],
% 0.56/0.90 [zip_derived_cl8, zip_derived_cl6])).
% 0.56/0.90 thf(wajsberg_2, axiom,
% 0.56/0.90 (( implies @
% 0.56/0.90 ( implies @ X @ Y ) @
% 0.56/0.90 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 0.56/0.90 ( truth ))).
% 0.56/0.90 thf(zip_derived_cl1, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.90 ((implies @ (implies @ X0 @ X1) @
% 0.56/0.90 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.56/0.90 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.56/0.90 thf(zip_derived_cl44, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 ((implies @ (implies @ X0 @ x) @
% 0.56/0.90 (implies @ truth @ (implies @ X0 @ y))) = (truth))),
% 0.56/0.90 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 0.56/0.90 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 0.56/0.90 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.56/0.90 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.56/0.90 thf(zip_derived_cl51, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 ((implies @ (implies @ X0 @ x) @ (implies @ X0 @ y)) = (truth))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 0.56/0.90 thf(zip_derived_cl55, plain, (((truth) != (truth))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl51])).
% 0.56/0.90 thf(zip_derived_cl56, plain, ($false),
% 0.56/0.90 inference('simplify', [status(thm)], [zip_derived_cl55])).
% 0.56/0.90
% 0.56/0.90 % SZS output end Refutation
% 0.56/0.90
% 0.56/0.90
% 0.56/0.90 % Terminating...
% 0.56/0.94 % Runner terminated.
% 0.56/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------