TSTP Solution File: COL088-1 by Zipperpin---2.1.9999

View Problem - Process Solution

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% File     : Zipperpin---2.1.9999
% Problem  : COL088-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.S3jADeWlAx true

% Computer : n010.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 : Wed Aug 30 18:34:49 EDT 2023

% Result   : Unsatisfiable 0.20s 0.80s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL088-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.S3jADeWlAx true
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 04:53:34 EDT 2023
% 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.80  % Solved by fo/fo6_bce.sh.
% 0.20/0.80  % BCE start: 44
% 0.20/0.80  % BCE eliminated: 0
% 0.20/0.80  % PE start: 44
% 0.20/0.80  logic: eq
% 0.20/0.80  % PE eliminated: 2
% 0.20/0.80  % done 81 iterations in 0.059s
% 0.20/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.80  % SZS output start Refutation
% 0.20/0.80  thf(r_type, type, r: $i).
% 0.20/0.80  thf(comb_app_type, type, comb_app: $i > $i > $i).
% 0.20/0.80  thf(y_type, type, y: $i).
% 0.20/0.80  thf(rtrancl_type, type, rtrancl: $i > $i).
% 0.20/0.80  thf(contract_type, type, contract: $i).
% 0.20/0.80  thf(trans_type, type, trans: $i > $o).
% 0.20/0.80  thf(comb_type, type, comb: $i).
% 0.20/0.80  thf(member_type, type, member: $i > $i > $o).
% 0.20/0.80  thf(pair_type, type, pair: $i > $i > $i).
% 0.20/0.80  thf(p_type, type, p: $i).
% 0.20/0.80  thf(z_type, type, z: $i).
% 0.20/0.80  thf(comb_intros3, axiom,
% 0.20/0.80    (( ~( member @ P @ comb ) ) | ( ~( member @ Q @ comb ) ) | 
% 0.20/0.80     ( member @ ( comb_app @ P @ Q ) @ comb ))).
% 0.20/0.80  thf(zip_derived_cl10, plain,
% 0.20/0.80      (![X0 : $i, X1 : $i]:
% 0.20/0.80         (~ (member @ X0 @ comb)
% 0.20/0.80          | ~ (member @ X1 @ comb)
% 0.20/0.80          |  (member @ (comb_app @ X0 @ X1) @ comb))),
% 0.20/0.80      inference('cnf', [status(esa)], [comb_intros3])).
% 0.20/0.80  thf(reduction_refl, axiom,
% 0.20/0.80    (( ~( member @ A @ comb ) ) | 
% 0.20/0.80     ( member @ ( pair @ A @ A ) @ ( rtrancl @ contract ) ))).
% 0.20/0.80  thf(zip_derived_cl11, plain,
% 0.20/0.80      (![X0 : $i]:
% 0.20/0.80         (~ (member @ X0 @ comb)
% 0.20/0.80          |  (member @ (pair @ X0 @ X0) @ (rtrancl @ contract)))),
% 0.20/0.80      inference('cnf', [status(esa)], [reduction_refl])).
% 0.20/0.80  thf(ap_reduce1_2h4, axiom, (member @ ( pair @ y @ z ) @ contract)).
% 0.20/0.80  thf(zip_derived_cl41, plain, ( (member @ (pair @ y @ z) @ contract)),
% 0.20/0.80      inference('cnf', [status(esa)], [ap_reduce1_2h4])).
% 0.20/0.80  thf(ap_reduce1_2h1, axiom, (member @ r @ comb)).
% 0.20/0.80  thf(zip_derived_cl38, plain, ( (member @ r @ comb)),
% 0.20/0.80      inference('cnf', [status(esa)], [ap_reduce1_2h1])).
% 0.20/0.80  thf(reduction_rls_3, axiom,
% 0.20/0.80    (( ~( member @ ( pair @ P3 @ Q3 ) @ contract ) ) | 
% 0.20/0.80     ( ~( member @ R3 @ comb ) ) | 
% 0.20/0.80     ( ~( member @
% 0.20/0.80          ( pair @ ( comb_app @ Q3 @ R3 ) @ C ) @ ( rtrancl @ contract ) ) ) | 
% 0.20/0.80     ( member @ ( pair @ ( comb_app @ P3 @ R3 ) @ C ) @ ( rtrancl @ contract ) ))).
% 0.20/0.80  thf(zip_derived_cl36, plain,
% 0.20/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.80         (~ (member @ (pair @ X0 @ X1) @ contract)
% 0.20/0.80          | ~ (member @ X2 @ comb)
% 0.20/0.80          | ~ (member @ (pair @ (comb_app @ X1 @ X2) @ X3) @ 
% 0.20/0.80               (rtrancl @ contract))
% 0.20/0.80          |  (member @ (pair @ (comb_app @ X0 @ X2) @ X3) @ 
% 0.20/0.80              (rtrancl @ contract)))),
% 0.20/0.80      inference('cnf', [status(esa)], [reduction_rls_3])).
% 0.20/0.80  thf(zip_derived_cl345, plain,
% 0.20/0.80      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.80         (~ (member @ (pair @ X1 @ X0) @ contract)
% 0.20/0.80          | ~ (member @ (pair @ (comb_app @ X0 @ r) @ X2) @ 
% 0.20/0.80               (rtrancl @ contract))
% 0.20/0.80          |  (member @ (pair @ (comb_app @ X1 @ r) @ X2) @ (rtrancl @ contract)))),
% 0.20/0.80      inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl36])).
% 0.20/0.80  thf(zip_derived_cl365, plain,
% 0.20/0.80      (![X0 : $i]:
% 0.20/0.80         (~ (member @ (pair @ (comb_app @ z @ r) @ X0) @ (rtrancl @ contract))
% 0.20/0.80          |  (member @ (pair @ (comb_app @ y @ r) @ X0) @ (rtrancl @ contract)))),
% 0.20/0.80      inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl345])).
% 0.20/0.80  thf(zip_derived_cl366, plain,
% 0.20/0.80      ((~ (member @ (comb_app @ z @ r) @ comb)
% 0.20/0.80        |  (member @ (pair @ (comb_app @ y @ r) @ (comb_app @ z @ r)) @ 
% 0.20/0.80            (rtrancl @ contract)))),
% 0.20/0.80      inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl365])).
% 0.20/0.80  thf(zip_derived_cl369, plain,
% 0.20/0.80      ((~ (member @ r @ comb)
% 0.20/0.80        | ~ (member @ z @ comb)
% 0.20/0.80        |  (member @ (pair @ (comb_app @ y @ r) @ (comb_app @ z @ r)) @ 
% 0.20/0.80            (rtrancl @ contract)))),
% 0.20/0.80      inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl366])).
% 0.20/0.80  thf(zip_derived_cl38, plain, ( (member @ r @ comb)),
% 0.20/0.80      inference('cnf', [status(esa)], [ap_reduce1_2h1])).
% 0.20/0.80  thf(zip_derived_cl41, plain, ( (member @ (pair @ y @ z) @ contract)),
% 0.20/0.80      inference('cnf', [status(esa)], [ap_reduce1_2h4])).
% 0.20/0.80  thf(contract_combD2, axiom,
% 0.20/0.80    (( ~( member @ ( pair @ A @ B ) @ contract ) ) | ( member @ B @ comb ))).
% 0.20/0.80  thf(zip_derived_cl33, plain,
% 0.20/0.80      (![X0 : $i, X1 : $i]:
% 0.20/0.80         (~ (member @ (pair @ X0 @ X1) @ contract) |  (member @ X1 @ comb))),
% 0.20/0.80      inference('cnf', [status(esa)], [contract_combD2])).
% 0.20/0.80  thf(zip_derived_cl239, plain, ( (member @ z @ comb)),
% 0.20/0.80      inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl33])).
% 0.20/0.80  thf(zip_derived_cl370, plain,
% 0.20/0.80      ( (member @ (pair @ (comb_app @ y @ r) @ (comb_app @ z @ r)) @ 
% 0.20/0.80         (rtrancl @ contract))),
% 0.20/0.80      inference('demod', [status(thm)],
% 0.20/0.80                [zip_derived_cl369, zip_derived_cl38, zip_derived_cl239])).
% 0.20/0.80  thf(trans_rtrancl, axiom, (trans @ ( rtrancl @ R ))).
% 0.20/0.80  thf(zip_derived_cl32, plain, (![X0 : $i]:  (trans @ (rtrancl @ X0))),
% 0.20/0.80      inference('cnf', [status(esa)], [trans_rtrancl])).
% 0.20/0.80  thf(transD, axiom,
% 0.20/0.80    (( ~( trans @ R ) ) | ( ~( member @ ( pair @ A @ B ) @ R ) ) | 
% 0.20/0.80     ( ~( member @ ( pair @ B @ C ) @ R ) ) | ( member @ ( pair @ A @ C ) @ R ))).
% 0.20/0.80  thf(zip_derived_cl31, plain,
% 0.20/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.80         (~ (trans @ X0)
% 0.20/0.80          | ~ (member @ (pair @ X1 @ X2) @ X0)
% 0.20/0.80          | ~ (member @ (pair @ X2 @ X3) @ X0)
% 0.20/0.80          |  (member @ (pair @ X1 @ X3) @ X0))),
% 0.20/0.80      inference('cnf', [status(esa)], [transD])).
% 0.20/0.80  thf(zip_derived_cl200, plain,
% 0.20/0.80      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.80         ( (member @ (pair @ X2 @ X3) @ (rtrancl @ X0))
% 0.20/0.80          | ~ (member @ (pair @ X1 @ X3) @ (rtrancl @ X0))
% 0.20/0.80          | ~ (member @ (pair @ X2 @ X1) @ (rtrancl @ X0)))),
% 0.20/0.80      inference('dp-resolution', [status(thm)],
% 0.20/0.80                [zip_derived_cl32, zip_derived_cl31])).
% 0.20/0.80  thf(zip_derived_cl374, plain,
% 0.20/0.80      (![X0 : $i]:
% 0.20/0.80         ( (member @ (pair @ X0 @ (comb_app @ z @ r)) @ (rtrancl @ contract))
% 0.20/0.80          | ~ (member @ (pair @ X0 @ (comb_app @ y @ r)) @ (rtrancl @ contract)))),
% 0.20/0.80      inference('s_sup-', [status(thm)], [zip_derived_cl370, zip_derived_cl200])).
% 0.20/0.80  thf(ap_reduce1_2c1, conjecture,
% 0.20/0.80    (member @
% 0.20/0.80     ( pair @ ( comb_app @ p @ r ) @ ( comb_app @ z @ r ) ) @ 
% 0.20/0.80     ( rtrancl @ contract ))).
% 0.20/0.80  thf(zf_stmt_0, negated_conjecture,
% 0.20/0.80    (~( member @
% 0.20/0.80        ( pair @ ( comb_app @ p @ r ) @ ( comb_app @ z @ r ) ) @ 
% 0.20/0.80        ( rtrancl @ contract ) )),
% 0.20/0.80    inference('cnf.neg', [status(esa)], [ap_reduce1_2c1])).
% 0.20/0.80  thf(zip_derived_cl43, plain,
% 0.20/0.80      (~ (member @ (pair @ (comb_app @ p @ r) @ (comb_app @ z @ r)) @ 
% 0.20/0.80          (rtrancl @ contract))),
% 0.20/0.80      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.80  thf(zip_derived_cl388, plain,
% 0.20/0.80      (~ (member @ (pair @ (comb_app @ p @ r) @ (comb_app @ y @ r)) @ 
% 0.20/0.80          (rtrancl @ contract))),
% 0.20/0.80      inference('s_sup-', [status(thm)], [zip_derived_cl374, zip_derived_cl43])).
% 0.20/0.80  thf(ap_reduce1_2h5, axiom,
% 0.20/0.80    (member @
% 0.20/0.80     ( pair @ ( comb_app @ p @ r ) @ ( comb_app @ y @ r ) ) @ 
% 0.20/0.80     ( rtrancl @ contract ))).
% 0.20/0.80  thf(zip_derived_cl42, plain,
% 0.20/0.80      ( (member @ (pair @ (comb_app @ p @ r) @ (comb_app @ y @ r)) @ 
% 0.20/0.80         (rtrancl @ contract))),
% 0.20/0.80      inference('cnf', [status(esa)], [ap_reduce1_2h5])).
% 0.20/0.80  thf(zip_derived_cl390, plain, ($false),
% 0.20/0.80      inference('demod', [status(thm)], [zip_derived_cl388, zip_derived_cl42])).
% 0.20/0.80  
% 0.20/0.80  % SZS output end Refutation
% 0.20/0.80  
% 0.20/0.80  
% 0.20/0.80  % Terminating...
% 1.26/0.86  % Runner terminated.
% 1.50/0.87  % Zipperpin 1.5 exiting
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