%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL088-1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OhyDuvOdGg true
% Computer : n017.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 04:30:22 PM UTC 2025
% Result : Unsatisfiable 0.51s 0.81s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COL088-1 : TPTP v9.2.0. Released v2.7.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OhyDuvOdGg true
% 0.14/0.34 % Computer : n017.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 : Wed Oct 1 10:54:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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
% 0.44/0.60 % Total configuration time : 435
% 0.44/0.60 % Estimated wc time : 1092
% 0.44/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.81 % Solved by fo/fo6_bce.sh.
% 0.51/0.81 % BCE start: 44
% 0.51/0.81 % BCE eliminated: 0
% 0.51/0.81 % PE start: 44
% 0.51/0.81 logic: eq
% 0.51/0.81 % PE eliminated: 2
% 0.51/0.81 % done 81 iterations in 0.115s
% 0.51/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.81 % SZS output start Refutation
% 0.51/0.81 thf(r_type, type, r: $i).
% 0.51/0.81 thf(comb_app_type, type, comb_app: $i > $i > $i).
% 0.51/0.81 thf(y_type, type, y: $i).
% 0.51/0.81 thf(rtrancl_type, type, rtrancl: $i > $i).
% 0.51/0.81 thf(contract_type, type, contract: $i).
% 0.51/0.81 thf(trans_type, type, trans: $i > $o).
% 0.51/0.81 thf(comb_type, type, comb: $i).
% 0.51/0.81 thf(member_type, type, member: $i > $i > $o).
% 0.51/0.81 thf(pair_type, type, pair: $i > $i > $i).
% 0.51/0.81 thf(p_type, type, p: $i).
% 0.51/0.81 thf(z_type, type, z: $i).
% 0.51/0.81 thf(comb_intros3, axiom,
% 0.51/0.81 (( ~( member @ P @ comb ) ) | ( ~( member @ Q @ comb ) ) |
% 0.51/0.81 ( member @ ( comb_app @ P @ Q ) @ comb ))).
% 0.51/0.81 thf(zip_derived_cl10, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i]:
% 0.51/0.81 (~ (member @ X0 @ comb)
% 0.51/0.81 | ~ (member @ X1 @ comb)
% 0.51/0.81 | (member @ (comb_app @ X0 @ X1) @ comb))),
% 0.51/0.81 inference('cnf', [status(esa)], [comb_intros3])).
% 0.51/0.81 thf(reduction_refl, axiom,
% 0.51/0.81 (( ~( member @ A @ comb ) ) |
% 0.51/0.81 ( member @ ( pair @ A @ A ) @ ( rtrancl @ contract ) ))).
% 0.51/0.81 thf(zip_derived_cl11, plain,
% 0.51/0.81 (![X0 : $i]:
% 0.51/0.81 (~ (member @ X0 @ comb)
% 0.51/0.81 | (member @ (pair @ X0 @ X0) @ (rtrancl @ contract)))),
% 0.51/0.81 inference('cnf', [status(esa)], [reduction_refl])).
% 0.51/0.81 thf(ap_reduce1_2h4, axiom, (member @ ( pair @ y @ z ) @ contract)).
% 0.51/0.81 thf(zip_derived_cl41, plain, ( (member @ (pair @ y @ z) @ contract)),
% 0.51/0.81 inference('cnf', [status(esa)], [ap_reduce1_2h4])).
% 0.51/0.81 thf(ap_reduce1_2h1, axiom, (member @ r @ comb)).
% 0.51/0.81 thf(zip_derived_cl38, plain, ( (member @ r @ comb)),
% 0.51/0.81 inference('cnf', [status(esa)], [ap_reduce1_2h1])).
% 0.51/0.81 thf(reduction_rls_3, axiom,
% 0.51/0.81 (( ~( member @ ( pair @ P3 @ Q3 ) @ contract ) ) |
% 0.51/0.81 ( ~( member @ R3 @ comb ) ) |
% 0.51/0.81 ( ~( member @
% 0.51/0.81 ( pair @ ( comb_app @ Q3 @ R3 ) @ C ) @ ( rtrancl @ contract ) ) ) |
% 0.51/0.81 ( member @ ( pair @ ( comb_app @ P3 @ R3 ) @ C ) @ ( rtrancl @ contract ) ))).
% 0.51/0.81 thf(zip_derived_cl36, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.81 (~ (member @ (pair @ X0 @ X1) @ contract)
% 0.51/0.81 | ~ (member @ X2 @ comb)
% 0.51/0.81 | ~ (member @ (pair @ (comb_app @ X1 @ X2) @ X3) @
% 0.51/0.81 (rtrancl @ contract))
% 0.51/0.81 | (member @ (pair @ (comb_app @ X0 @ X2) @ X3) @
% 0.51/0.81 (rtrancl @ contract)))),
% 0.51/0.81 inference('cnf', [status(esa)], [reduction_rls_3])).
% 0.51/0.81 thf(zip_derived_cl345, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.81 (~ (member @ (pair @ X1 @ X0) @ contract)
% 0.51/0.81 | ~ (member @ (pair @ (comb_app @ X0 @ r) @ X2) @
% 0.51/0.81 (rtrancl @ contract))
% 0.51/0.81 | (member @ (pair @ (comb_app @ X1 @ r) @ X2) @ (rtrancl @ contract)))),
% 0.51/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl36])).
% 0.51/0.81 thf(zip_derived_cl365, plain,
% 0.51/0.81 (![X0 : $i]:
% 0.51/0.81 (~ (member @ (pair @ (comb_app @ z @ r) @ X0) @ (rtrancl @ contract))
% 0.51/0.81 | (member @ (pair @ (comb_app @ y @ r) @ X0) @ (rtrancl @ contract)))),
% 0.51/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl345])).
% 0.51/0.81 thf(zip_derived_cl366, plain,
% 0.51/0.81 ((~ (member @ (comb_app @ z @ r) @ comb)
% 0.51/0.81 | (member @ (pair @ (comb_app @ y @ r) @ (comb_app @ z @ r)) @
% 0.51/0.81 (rtrancl @ contract)))),
% 0.51/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl365])).
% 0.51/0.81 thf(zip_derived_cl369, plain,
% 0.51/0.81 ((~ (member @ r @ comb)
% 0.51/0.81 | ~ (member @ z @ comb)
% 0.51/0.81 | (member @ (pair @ (comb_app @ y @ r) @ (comb_app @ z @ r)) @
% 0.51/0.81 (rtrancl @ contract)))),
% 0.51/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl366])).
% 0.51/0.81 thf(zip_derived_cl38, plain, ( (member @ r @ comb)),
% 0.51/0.81 inference('cnf', [status(esa)], [ap_reduce1_2h1])).
% 0.51/0.81 thf(zip_derived_cl41, plain, ( (member @ (pair @ y @ z) @ contract)),
% 0.51/0.81 inference('cnf', [status(esa)], [ap_reduce1_2h4])).
% 0.51/0.81 thf(contract_combD2, axiom,
% 0.51/0.81 (( ~( member @ ( pair @ A @ B ) @ contract ) ) | ( member @ B @ comb ))).
% 0.51/0.81 thf(zip_derived_cl33, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i]:
% 0.51/0.81 (~ (member @ (pair @ X0 @ X1) @ contract) | (member @ X1 @ comb))),
% 0.51/0.81 inference('cnf', [status(esa)], [contract_combD2])).
% 0.51/0.81 thf(zip_derived_cl239, plain, ( (member @ z @ comb)),
% 0.51/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl33])).
% 0.51/0.81 thf(zip_derived_cl370, plain,
% 0.51/0.81 ( (member @ (pair @ (comb_app @ y @ r) @ (comb_app @ z @ r)) @
% 0.51/0.81 (rtrancl @ contract))),
% 0.51/0.81 inference('demod', [status(thm)],
% 0.51/0.81 [zip_derived_cl369, zip_derived_cl38, zip_derived_cl239])).
% 0.51/0.81 thf(trans_rtrancl, axiom, (trans @ ( rtrancl @ R ))).
% 0.51/0.81 thf(zip_derived_cl32, plain, (![X0 : $i]: (trans @ (rtrancl @ X0))),
% 0.51/0.81 inference('cnf', [status(esa)], [trans_rtrancl])).
% 0.51/0.81 thf(transD, axiom,
% 0.51/0.81 (( ~( trans @ R ) ) | ( ~( member @ ( pair @ A @ B ) @ R ) ) |
% 0.51/0.81 ( ~( member @ ( pair @ B @ C ) @ R ) ) | ( member @ ( pair @ A @ C ) @ R ))).
% 0.51/0.81 thf(zip_derived_cl31, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.81 (~ (trans @ X0)
% 0.51/0.81 | ~ (member @ (pair @ X1 @ X2) @ X0)
% 0.51/0.81 | ~ (member @ (pair @ X2 @ X3) @ X0)
% 0.51/0.81 | (member @ (pair @ X1 @ X3) @ X0))),
% 0.51/0.81 inference('cnf', [status(esa)], [transD])).
% 0.51/0.81 thf(zip_derived_cl200, plain,
% 0.51/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.81 ( (member @ (pair @ X2 @ X3) @ (rtrancl @ X0))
% 0.51/0.81 | ~ (member @ (pair @ X1 @ X3) @ (rtrancl @ X0))
% 0.51/0.81 | ~ (member @ (pair @ X2 @ X1) @ (rtrancl @ X0)))),
% 0.51/0.81 inference('dp-resolution', [status(thm)],
% 0.51/0.81 [zip_derived_cl32, zip_derived_cl31])).
% 0.51/0.81 thf(zip_derived_cl374, plain,
% 0.51/0.81 (![X0 : $i]:
% 0.51/0.81 ( (member @ (pair @ X0 @ (comb_app @ z @ r)) @ (rtrancl @ contract))
% 0.51/0.81 | ~ (member @ (pair @ X0 @ (comb_app @ y @ r)) @ (rtrancl @ contract)))),
% 0.51/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl370, zip_derived_cl200])).
% 0.51/0.81 thf(ap_reduce1_2c1, conjecture,
% 0.51/0.81 (member @
% 0.51/0.81 ( pair @ ( comb_app @ p @ r ) @ ( comb_app @ z @ r ) ) @
% 0.51/0.81 ( rtrancl @ contract ))).
% 0.51/0.81 thf(zf_stmt_0, negated_conjecture,
% 0.51/0.81 (~( member @
% 0.51/0.81 ( pair @ ( comb_app @ p @ r ) @ ( comb_app @ z @ r ) ) @
% 0.51/0.81 ( rtrancl @ contract ) )),
% 0.51/0.81 inference('cnf.neg', [status(esa)], [ap_reduce1_2c1])).
% 0.51/0.81 thf(zip_derived_cl43, plain,
% 0.51/0.81 (~ (member @ (pair @ (comb_app @ p @ r) @ (comb_app @ z @ r)) @
% 0.51/0.81 (rtrancl @ contract))),
% 0.51/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.81 thf(zip_derived_cl388, plain,
% 0.51/0.81 (~ (member @ (pair @ (comb_app @ p @ r) @ (comb_app @ y @ r)) @
% 0.51/0.81 (rtrancl @ contract))),
% 0.51/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl374, zip_derived_cl43])).
% 0.51/0.81 thf(ap_reduce1_2h5, axiom,
% 0.51/0.81 (member @
% 0.51/0.81 ( pair @ ( comb_app @ p @ r ) @ ( comb_app @ y @ r ) ) @
% 0.51/0.81 ( rtrancl @ contract ))).
% 0.51/0.81 thf(zip_derived_cl42, plain,
% 0.51/0.81 ( (member @ (pair @ (comb_app @ p @ r) @ (comb_app @ y @ r)) @
% 0.51/0.81 (rtrancl @ contract))),
% 0.51/0.81 inference('cnf', [status(esa)], [ap_reduce1_2h5])).
% 0.51/0.81 thf(zip_derived_cl390, plain, ($false),
% 0.51/0.81 inference('demod', [status(thm)], [zip_derived_cl388, zip_derived_cl42])).
% 0.51/0.81
% 0.51/0.81 % SZS output end Refutation
% 0.51/0.81
% 0.51/0.81
% 0.51/0.81 % Terminating...
% 1.69/0.93 % Runner terminated.
% 1.69/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------