%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL902+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bNyYmSJMsK true
% Computer : n016.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 01:37:33 PM UTC 2026
% Result : Theorem 0.51s 0.96s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL902+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bNyYmSJMsK true
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 6 01:10:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Running portfolio for 300 s
% 0.11/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.12.3
% 0.14/0.38 % Running in FO mode
% 0.43/0.68 % Total configuration time : 435
% 0.43/0.68 % Estimated wc time : 1092
% 0.43/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.96 % Solved by fo/fo5.sh.
% 0.51/0.96 % done 321 iterations in 0.128s
% 0.51/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.96 % SZS output start Refutation
% 0.51/0.96 thf(>=_type, type, >=: $i > $i > $o).
% 0.51/0.96 thf(sk__type, type, sk_: $i).
% 0.51/0.96 thf('+_type', type, '+': $i > $i > $i).
% 0.51/0.96 thf(1_type, type, 1: $i).
% 0.51/0.96 thf(==>_type, type, ==>: $i > $i > $i).
% 0.51/0.96 thf(0_type, type, 0: $i).
% 0.51/0.96 thf(goals_14, conjecture,
% 0.51/0.96 (![X17:$i]: ( ( ==> @ ( ==> @ X17 @ 1 ) @ 1 ) = ( X17 ) ))).
% 0.51/0.96 thf(zf_stmt_0, negated_conjecture,
% 0.51/0.96 (~( ![X17:$i]: ( ( ==> @ ( ==> @ X17 @ 1 ) @ 1 ) = ( X17 ) ) )),
% 0.51/0.96 inference('cnf.neg', [status(esa)], [goals_14])).
% 0.51/0.96 thf(zip_derived_cl14, plain, (((==> @ (==> @ sk_ @ 1) @ 1) != (sk_))),
% 0.51/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.96 thf(sos_13, axiom,
% 0.51/0.96 (![A:$i]: ( ( ==> @ ( ==> @ ( ==> @ A @ 1 ) @ A ) @ A ) = ( 0 ) ))).
% 0.51/0.96 thf(zip_derived_cl13, plain,
% 0.51/0.96 (![X0 : $i]: ((==> @ (==> @ (==> @ X0 @ 1) @ X0) @ X0) = (0))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_13])).
% 0.51/0.96 thf(sos_04, axiom, (![A:$i]: ( >= @ A @ A ))).
% 0.51/0.96 thf(zip_derived_cl3, plain, (![X0 : $i]: (>= @ X0 @ X0)),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_04])).
% 0.51/0.96 thf(sos_07, axiom,
% 0.51/0.96 (![X5:$i,X6:$i,X7:$i]:
% 0.51/0.96 ( ( >= @ ( '+' @ X5 @ X6 ) @ X7 ) <=> ( >= @ X6 @ ( ==> @ X5 @ X7 ) ) ))).
% 0.51/0.96 thf(zip_derived_cl7, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.96 ( (>= @ ('+' @ X0 @ X1) @ X2) | ~ (>= @ X1 @ (==> @ X0 @ X2)))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_07])).
% 0.51/0.96 thf(zip_derived_cl67, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (>= @ ('+' @ X1 @ (==> @ X1 @ X0)) @ X0)),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.51/0.96 thf(zip_derived_cl868, plain,
% 0.51/0.96 (![X0 : $i]: (>= @ ('+' @ (==> @ (==> @ X0 @ 1) @ X0) @ 0) @ X0)),
% 0.51/0.96 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl67])).
% 0.51/0.96 thf(sos_03, axiom, (![A:$i]: ( ( '+' @ A @ 0 ) = ( A ) ))).
% 0.51/0.96 thf(zip_derived_cl2, plain, (![X0 : $i]: (('+' @ X0 @ 0) = (X0))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_03])).
% 0.51/0.96 thf(zip_derived_cl874, plain,
% 0.51/0.96 (![X0 : $i]: (>= @ (==> @ (==> @ X0 @ 1) @ X0) @ X0)),
% 0.51/0.96 inference('demod', [status(thm)], [zip_derived_cl868, zip_derived_cl2])).
% 0.51/0.96 thf(sos_08, axiom, (![A:$i]: ( >= @ A @ 0 ))).
% 0.51/0.96 thf(zip_derived_cl8, plain, (![X0 : $i]: (>= @ X0 @ 0)),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_08])).
% 0.51/0.96 thf(sos_09, axiom,
% 0.51/0.96 (![X8:$i,X9:$i,X10:$i]:
% 0.51/0.96 ( ( >= @ X8 @ X9 ) => ( >= @ ( '+' @ X8 @ X10 ) @ ( '+' @ X9 @ X10 ) ) ))).
% 0.51/0.96 thf(zip_derived_cl9, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.96 (~ (>= @ X0 @ X1) | (>= @ ('+' @ X0 @ X2) @ ('+' @ X1 @ X2)))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_09])).
% 0.51/0.96 thf(zip_derived_cl83, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (>= @ ('+' @ X0 @ X1) @ ('+' @ 0 @ X1))),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl9])).
% 0.51/0.96 thf(zip_derived_cl2, plain, (![X0 : $i]: (('+' @ X0 @ 0) = (X0))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_03])).
% 0.51/0.96 thf(sos_02, axiom, (![A:$i,B:$i]: ( ( '+' @ A @ B ) = ( '+' @ B @ A ) ))).
% 0.51/0.96 thf(zip_derived_cl1, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ X0 @ X1))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_02])).
% 0.51/0.96 thf(zip_derived_cl19, plain, (![X0 : $i]: ((X0) = ('+' @ 0 @ X0))),
% 0.51/0.96 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.51/0.96 thf(zip_derived_cl84, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (>= @ ('+' @ X0 @ X1) @ X1)),
% 0.51/0.96 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl19])).
% 0.51/0.96 thf(zip_derived_cl6, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.96 ( (>= @ X0 @ (==> @ X1 @ X2)) | ~ (>= @ ('+' @ X1 @ X0) @ X2))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_07])).
% 0.51/0.96 thf(zip_derived_cl132, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (>= @ X0 @ (==> @ X1 @ X0))),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl6])).
% 0.51/0.96 thf(sos_06, axiom,
% 0.51/0.96 (![X3:$i,X4:$i]:
% 0.51/0.96 ( ( ( >= @ X3 @ X4 ) & ( >= @ X4 @ X3 ) ) => ( ( X3 ) = ( X4 ) ) ))).
% 0.51/0.96 thf(zip_derived_cl5, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]:
% 0.51/0.96 (((X1) = (X0)) | ~ (>= @ X0 @ X1) | ~ (>= @ X1 @ X0))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_06])).
% 0.51/0.96 thf(zip_derived_cl233, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]:
% 0.51/0.96 (~ (>= @ (==> @ X1 @ X0) @ X0) | ((==> @ X1 @ X0) = (X0)))),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl5])).
% 0.51/0.96 thf(zip_derived_cl1273, plain,
% 0.51/0.96 (![X0 : $i]: ((==> @ (==> @ X0 @ 1) @ X0) = (X0))),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl874, zip_derived_cl233])).
% 0.51/0.96 thf(sos_12, axiom, (![A:$i]: ( ( '+' @ A @ 1 ) = ( 1 ) ))).
% 0.51/0.96 thf(zip_derived_cl12, plain, (![X0 : $i]: (('+' @ X0 @ 1) = (1))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_12])).
% 0.51/0.96 thf(zip_derived_cl1, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ X0 @ X1))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_02])).
% 0.51/0.96 thf(zip_derived_cl20, plain, (![X0 : $i]: ((1) = ('+' @ 1 @ X0))),
% 0.51/0.96 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 0.51/0.96 thf(zip_derived_cl84, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (>= @ ('+' @ X0 @ X1) @ X1)),
% 0.51/0.96 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl19])).
% 0.51/0.96 thf(zip_derived_cl139, plain, (![X0 : $i]: (>= @ 1 @ X0)),
% 0.51/0.96 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl84])).
% 0.51/0.96 thf(sos_11, axiom,
% 0.51/0.96 (![X14:$i,X15:$i,X16:$i]:
% 0.51/0.96 ( ( >= @ X14 @ X15 ) => ( >= @ ( ==> @ X16 @ X14 ) @ ( ==> @ X16 @ X15 ) ) ))).
% 0.51/0.96 thf(zip_derived_cl11, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.96 (~ (>= @ X0 @ X1) | (>= @ (==> @ X2 @ X0) @ (==> @ X2 @ X1)))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_11])).
% 0.51/0.96 thf(zip_derived_cl205, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (>= @ (==> @ X1 @ 1) @ (==> @ X1 @ X0))),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl11])).
% 0.51/0.96 thf(zip_derived_cl5, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]:
% 0.51/0.96 (((X1) = (X0)) | ~ (>= @ X0 @ X1) | ~ (>= @ X1 @ X0))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_06])).
% 0.51/0.96 thf(zip_derived_cl411, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]:
% 0.51/0.96 (~ (>= @ (==> @ X1 @ X0) @ (==> @ X1 @ 1))
% 0.51/0.96 | ((==> @ X1 @ X0) = (==> @ X1 @ 1)))),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl205, zip_derived_cl5])).
% 0.51/0.96 thf(zip_derived_cl1305, plain,
% 0.51/0.96 (![X0 : $i]:
% 0.51/0.96 (~ (>= @ X0 @ (==> @ (==> @ X0 @ 1) @ 1))
% 0.51/0.96 | ((==> @ (==> @ X0 @ 1) @ X0) = (==> @ (==> @ X0 @ 1) @ 1)))),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl1273, zip_derived_cl411])).
% 0.51/0.96 thf(zip_derived_cl67, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (>= @ ('+' @ X1 @ (==> @ X1 @ X0)) @ X0)),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.51/0.96 thf(zip_derived_cl139, plain, (![X0 : $i]: (>= @ 1 @ X0)),
% 0.51/0.96 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl84])).
% 0.51/0.96 thf(zip_derived_cl5, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]:
% 0.51/0.96 (((X1) = (X0)) | ~ (>= @ X0 @ X1) | ~ (>= @ X1 @ X0))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_06])).
% 0.51/0.96 thf(zip_derived_cl202, plain, (![X0 : $i]: (~ (>= @ X0 @ 1) | ((X0) = (1)))),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl5])).
% 0.51/0.96 thf(zip_derived_cl857, plain,
% 0.51/0.96 (![X0 : $i]: (('+' @ X0 @ (==> @ X0 @ 1)) = (1))),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl202])).
% 0.51/0.96 thf(zip_derived_cl19, plain, (![X0 : $i]: ((X0) = ('+' @ 0 @ X0))),
% 0.51/0.96 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.51/0.96 thf(zip_derived_cl1, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ X0 @ X1))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_02])).
% 0.51/0.96 thf(sos_01, axiom,
% 0.51/0.96 (![A:$i,B:$i,C:$i]:
% 0.51/0.96 ( ( '+' @ ( '+' @ A @ B ) @ C ) = ( '+' @ A @ ( '+' @ B @ C ) ) ))).
% 0.51/0.96 thf(zip_derived_cl0, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.96 (('+' @ ('+' @ X0 @ X1) @ X2) = ('+' @ X0 @ ('+' @ X1 @ X2)))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_01])).
% 0.51/0.96 thf(zip_derived_cl28, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.96 (('+' @ X2 @ ('+' @ X1 @ X0)) = ('+' @ X1 @ ('+' @ X0 @ X2)))),
% 0.51/0.96 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.51/0.96 thf(zip_derived_cl171, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ 0 @ ('+' @ X0 @ X1)))),
% 0.51/0.96 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl28])).
% 0.51/0.96 thf(zip_derived_cl974, plain,
% 0.51/0.96 (![X0 : $i]: (('+' @ (==> @ X0 @ 1) @ X0) = ('+' @ 0 @ 1))),
% 0.51/0.96 inference('sup+', [status(thm)], [zip_derived_cl857, zip_derived_cl171])).
% 0.51/0.96 thf(zip_derived_cl19, plain, (![X0 : $i]: ((X0) = ('+' @ 0 @ X0))),
% 0.51/0.96 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 0.51/0.96 thf(zip_derived_cl996, plain,
% 0.51/0.96 (![X0 : $i]: (('+' @ (==> @ X0 @ 1) @ X0) = (1))),
% 0.51/0.96 inference('demod', [status(thm)], [zip_derived_cl974, zip_derived_cl19])).
% 0.51/0.96 thf(zip_derived_cl3, plain, (![X0 : $i]: (>= @ X0 @ X0)),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_04])).
% 0.51/0.96 thf(zip_derived_cl6, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.96 ( (>= @ X0 @ (==> @ X1 @ X2)) | ~ (>= @ ('+' @ X1 @ X0) @ X2))),
% 0.51/0.96 inference('cnf', [status(esa)], [sos_07])).
% 0.51/0.96 thf(zip_derived_cl58, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]: (>= @ X0 @ (==> @ X1 @ ('+' @ X1 @ X0)))),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.51/0.96 thf(zip_derived_cl1047, plain,
% 0.51/0.96 (![X0 : $i]: (>= @ X0 @ (==> @ (==> @ X0 @ 1) @ 1))),
% 0.51/0.96 inference('sup+', [status(thm)], [zip_derived_cl996, zip_derived_cl58])).
% 0.51/0.96 thf(zip_derived_cl1273, plain,
% 0.51/0.96 (![X0 : $i]: ((==> @ (==> @ X0 @ 1) @ X0) = (X0))),
% 0.51/0.96 inference('sup-', [status(thm)], [zip_derived_cl874, zip_derived_cl233])).
% 0.51/0.96 thf(zip_derived_cl1328, plain,
% 0.51/0.96 (![X0 : $i]: ((X0) = (==> @ (==> @ X0 @ 1) @ 1))),
% 0.51/0.96 inference('demod', [status(thm)],
% 0.51/0.96 [zip_derived_cl1305, zip_derived_cl1047, zip_derived_cl1273])).
% 0.51/0.96 thf(zip_derived_cl1381, plain, (((sk_) != (sk_))),
% 0.51/0.96 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl1328])).
% 0.51/0.96 thf(zip_derived_cl1382, plain, ($false),
% 0.51/0.96 inference('simplify', [status(thm)], [zip_derived_cl1381])).
% 0.51/0.96
% 0.51/0.96 % SZS output end Refutation
% 0.51/0.96
% 0.51/0.96
% 0.51/0.96 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.51/0.96 % Terminating...
% 0.51/1.03 % Runner terminated.
% 1.58/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------