TSTP Solution File: PLA008-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PLA008-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Q6bYSBhoV3 true

% Computer : n009.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 Aug 31 13:05:11 EDT 2023

% Result   : Unsatisfiable 3.77s 0.93s
% Output   : Refutation 3.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : PLA008-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.07  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Q6bYSBhoV3 true
% 0.06/0.26  % Computer : n009.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Sun Aug 27 06:08:05 EDT 2023
% 0.06/0.26  % CPUTime  : 
% 0.06/0.26  % Running portfolio for 300 s
% 0.06/0.26  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26  % Number of cores: 8
% 0.06/0.26  % Python version: Python 3.6.8
% 0.06/0.26  % Running in FO mode
% 0.11/0.41  % Total configuration time : 435
% 0.11/0.41  % Estimated wc time : 1092
% 0.11/0.41  % Estimated cpu time (7 cpus) : 156.0
% 0.11/0.47  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.11/0.47  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.11/0.48  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.11/0.48  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.11/0.48  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.11/0.48  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.11/0.49  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.77/0.93  % Solved by fo/fo4.sh.
% 3.77/0.93  % done 420 iterations in 0.420s
% 3.77/0.93  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.77/0.93  % SZS output start Refutation
% 3.77/0.93  thf(empty_type, type, empty: $i).
% 3.77/0.93  thf(on_type, type, on: $i > $i > $i).
% 3.77/0.93  thf(clear_type, type, clear: $i > $i).
% 3.77/0.93  thf(s0_type, type, s0: $i).
% 3.77/0.93  thf(holding_type, type, holding: $i > $i).
% 3.77/0.93  thf(a_type, type, a: $i).
% 3.77/0.93  thf(and_type, type, and: $i > $i > $i).
% 3.77/0.93  thf(differ_type, type, differ: $i > $i > $o).
% 3.77/0.93  thf(putdown_type, type, putdown: $i > $i > $i).
% 3.77/0.93  thf(b_type, type, b: $i).
% 3.77/0.93  thf(holds_type, type, holds: $i > $i > $o).
% 3.77/0.93  thf(do_type, type, do: $i > $i > $i).
% 3.77/0.93  thf(d_type, type, d: $i).
% 3.77/0.93  thf(c_type, type, c: $i).
% 3.77/0.93  thf(table_type, type, table: $i).
% 3.77/0.93  thf(pickup_type, type, pickup: $i > $i).
% 3.77/0.93  thf(initial_state3, axiom, (holds @ ( on @ c @ d ) @ s0)).
% 3.77/0.93  thf(zip_derived_cl23, plain, ( (holds @ (on @ c @ d) @ s0)),
% 3.77/0.93      inference('cnf', [status(esa)], [initial_state3])).
% 3.77/0.93  thf(pickup_1, axiom,
% 3.77/0.93    (( holds @ ( holding @ X ) @ ( do @ ( pickup @ X ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ empty @ State ) ) | ( ~( holds @ ( clear @ X ) @ State ) ) | 
% 3.77/0.93     ( ~( differ @ X @ table ) ))).
% 3.77/0.93  thf(zip_derived_cl1, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         ( (holds @ (holding @ X0) @ (do @ (pickup @ X0) @ X1))
% 3.77/0.93          | ~ (holds @ empty @ X1)
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X1)
% 3.77/0.93          | ~ (differ @ X0 @ table))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_1])).
% 3.77/0.93  thf(pickup_4, axiom,
% 3.77/0.93    (( holds @ ( clear @ X ) @ ( do @ ( pickup @ Z ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( clear @ X ) @ State ) ) | ( ~( differ @ X @ Z ) ))).
% 3.77/0.93  thf(zip_derived_cl4, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (pickup @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X2)
% 3.77/0.93          | ~ (differ @ X0 @ X1))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_4])).
% 3.77/0.93  thf(zip_derived_cl4, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (pickup @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X2)
% 3.77/0.93          | ~ (differ @ X0 @ X1))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_4])).
% 3.77/0.93  thf(pickup_2, axiom,
% 3.77/0.93    (( holds @ ( clear @ Y ) @ ( do @ ( pickup @ X ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( on @ X @ Y ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( clear @ X ) @ State ) ) | ( ~( holds @ empty @ State ) ))).
% 3.77/0.93  thf(zip_derived_cl2, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (pickup @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (on @ X1 @ X0) @ X2)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X2)
% 3.77/0.93          | ~ (holds @ empty @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_2])).
% 3.77/0.93  thf(putdown_5, axiom,
% 3.77/0.93    (( holds @ ( clear @ Z ) @ ( do @ ( putdown @ X @ Y ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( clear @ Z ) @ State ) ) | ( ~( differ @ Z @ Y ) ))).
% 3.77/0.93  thf(zip_derived_cl9, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (putdown @ X1 @ X2) @ X3))
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X3)
% 3.77/0.93          | ~ (differ @ X0 @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_5])).
% 3.77/0.93  thf(zip_derived_cl9, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (putdown @ X1 @ X2) @ X3))
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X3)
% 3.77/0.93          | ~ (differ @ X0 @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_5])).
% 3.77/0.93  thf(putdown_2, axiom,
% 3.77/0.93    (( holds @ ( on @ X @ Y ) @ ( do @ ( putdown @ X @ Y ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( holding @ X ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( clear @ Y ) @ State ) ))).
% 3.77/0.93  thf(zip_derived_cl6, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (on @ X0 @ X1) @ (do @ (putdown @ X0 @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (holding @ X0) @ X2)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_2])).
% 3.77/0.93  thf(zip_derived_cl4, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (pickup @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X2)
% 3.77/0.93          | ~ (differ @ X0 @ X1))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_4])).
% 3.77/0.93  thf(zip_derived_cl4, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (pickup @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X2)
% 3.77/0.93          | ~ (differ @ X0 @ X1))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_4])).
% 3.77/0.93  thf(zip_derived_cl1, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         ( (holds @ (holding @ X0) @ (do @ (pickup @ X0) @ X1))
% 3.77/0.93          | ~ (holds @ empty @ X1)
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X1)
% 3.77/0.93          | ~ (differ @ X0 @ table))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_1])).
% 3.77/0.93  thf(pickup_3, axiom,
% 3.77/0.93    (( holds @ ( on @ X @ Y ) @ ( do @ ( pickup @ Z ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( on @ X @ Y ) @ State ) ) | ( ~( differ @ X @ Z ) ))).
% 3.77/0.93  thf(zip_derived_cl3, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.77/0.93         ( (holds @ (on @ X0 @ X1) @ (do @ (pickup @ X2) @ X3))
% 3.77/0.93          | ~ (holds @ (on @ X0 @ X1) @ X3)
% 3.77/0.93          | ~ (differ @ X0 @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_3])).
% 3.77/0.93  thf(zip_derived_cl9, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (putdown @ X1 @ X2) @ X3))
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X3)
% 3.77/0.93          | ~ (differ @ X0 @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_5])).
% 3.77/0.93  thf(zip_derived_cl6, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (on @ X0 @ X1) @ (do @ (putdown @ X0 @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (holding @ X0) @ X2)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_2])).
% 3.77/0.93  thf(putdown_4, axiom,
% 3.77/0.93    (( holds @ ( on @ X @ Y ) @ ( do @ ( putdown @ Z @ W ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( on @ X @ Y ) @ State ) ))).
% 3.77/0.93  thf(zip_derived_cl8, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.77/0.93         ( (holds @ (on @ X0 @ X1) @ (do @ (putdown @ X2 @ X3) @ X4))
% 3.77/0.93          | ~ (holds @ (on @ X0 @ X1) @ X4))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_4])).
% 3.77/0.93  thf(clear_table, axiom, (holds @ ( clear @ table ) @ State)).
% 3.77/0.93  thf(zip_derived_cl29, plain, (![X0 : $i]:  (holds @ (clear @ table) @ X0)),
% 3.77/0.93      inference('cnf', [status(esa)], [clear_table])).
% 3.77/0.93  thf(zip_derived_cl2, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (pickup @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (on @ X1 @ X0) @ X2)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X2)
% 3.77/0.93          | ~ (holds @ empty @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_2])).
% 3.77/0.93  thf(zip_derived_cl1, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         ( (holds @ (holding @ X0) @ (do @ (pickup @ X0) @ X1))
% 3.77/0.93          | ~ (holds @ empty @ X1)
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X1)
% 3.77/0.93          | ~ (differ @ X0 @ table))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_1])).
% 3.77/0.93  thf(zip_derived_cl3, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.77/0.93         ( (holds @ (on @ X0 @ X1) @ (do @ (pickup @ X2) @ X3))
% 3.77/0.93          | ~ (holds @ (on @ X0 @ X1) @ X3)
% 3.77/0.93          | ~ (differ @ X0 @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_3])).
% 3.77/0.93  thf(zip_derived_cl9, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (putdown @ X1 @ X2) @ X3))
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X3)
% 3.77/0.93          | ~ (differ @ X0 @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_5])).
% 3.77/0.93  thf(putdown_3, axiom,
% 3.77/0.93    (( holds @ ( clear @ X ) @ ( do @ ( putdown @ X @ Y ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( holding @ X ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( clear @ Y ) @ State ) ))).
% 3.77/0.93  thf(zip_derived_cl7, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (putdown @ X0 @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (holding @ X0) @ X2)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_3])).
% 3.77/0.93  thf(zip_derived_cl8, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.77/0.93         ( (holds @ (on @ X0 @ X1) @ (do @ (putdown @ X2 @ X3) @ X4))
% 3.77/0.93          | ~ (holds @ (on @ X0 @ X1) @ X4))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_4])).
% 3.77/0.93  thf(zip_derived_cl1, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         ( (holds @ (holding @ X0) @ (do @ (pickup @ X0) @ X1))
% 3.77/0.93          | ~ (holds @ empty @ X1)
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X1)
% 3.77/0.93          | ~ (differ @ X0 @ table))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_1])).
% 3.77/0.93  thf(zip_derived_cl4, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (pickup @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (clear @ X0) @ X2)
% 3.77/0.93          | ~ (differ @ X0 @ X1))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_4])).
% 3.77/0.93  thf(zip_derived_cl3, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.77/0.93         ( (holds @ (on @ X0 @ X1) @ (do @ (pickup @ X2) @ X3))
% 3.77/0.93          | ~ (holds @ (on @ X0 @ X1) @ X3)
% 3.77/0.93          | ~ (differ @ X0 @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [pickup_3])).
% 3.77/0.93  thf(zip_derived_cl8, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.77/0.93         ( (holds @ (on @ X0 @ X1) @ (do @ (putdown @ X2 @ X3) @ X4))
% 3.77/0.93          | ~ (holds @ (on @ X0 @ X1) @ X4))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_4])).
% 3.77/0.93  thf(zip_derived_cl6, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (on @ X0 @ X1) @ (do @ (putdown @ X0 @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (holding @ X0) @ X2)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_2])).
% 3.77/0.93  thf(and_definition, axiom,
% 3.77/0.93    (( holds @ ( and @ X @ Y ) @ State ) | ( ~( holds @ X @ State ) ) | 
% 3.77/0.93     ( ~( holds @ Y @ State ) ))).
% 3.77/0.93  thf(zip_derived_cl0, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (and @ X0 @ X1) @ X2)
% 3.77/0.93          | ~ (holds @ X0 @ X2)
% 3.77/0.93          | ~ (holds @ X1 @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [and_definition])).
% 3.77/0.93  thf(prove_BD_AC, conjecture,
% 3.77/0.93    (holds @ ( and @ ( on @ b @ d ) @ ( on @ a @ c ) ) @ State)).
% 3.77/0.93  thf(zf_stmt_0, negated_conjecture,
% 3.77/0.93    (~( holds @ ( and @ ( on @ b @ d ) @ ( on @ a @ c ) ) @ State )),
% 3.77/0.93    inference('cnf.neg', [status(esa)], [prove_BD_AC])).
% 3.77/0.93  thf(zip_derived_cl30, plain,
% 3.77/0.93      (![X0 : $i]: ~ (holds @ (and @ (on @ b @ d) @ (on @ a @ c)) @ X0)),
% 3.77/0.93      inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.77/0.93  thf(zip_derived_cl54, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (on @ a @ c) @ X0) | ~ (holds @ (on @ b @ d) @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 3.77/0.93  thf(zip_derived_cl63, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ (do @ (putdown @ a @ c) @ X0)))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl54])).
% 3.77/0.93  thf(zip_derived_cl68, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl63])).
% 3.77/0.93  thf(zip_derived_cl69, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (differ @ b @ X1)
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (holding @ a) @ (do @ (pickup @ X1) @ X0)))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl68])).
% 3.77/0.93  thf(zip_derived_cl84, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (differ @ c @ X1)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ a) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (differ @ b @ X1))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl69])).
% 3.77/0.93  thf(zip_derived_cl85, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (differ @ a @ table)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (differ @ b @ a)
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (differ @ c @ a))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl84])).
% 3.77/0.93  thf(differ_a_table, axiom, (differ @ a @ table)).
% 3.77/0.93  thf(zip_derived_cl14, plain, ( (differ @ a @ table)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_a_table])).
% 3.77/0.93  thf(differ_a_b, axiom, (differ @ a @ b)).
% 3.77/0.93  thf(zip_derived_cl11, plain, ( (differ @ a @ b)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_a_b])).
% 3.77/0.93  thf(symmetry_of_differ, axiom,
% 3.77/0.93    (( differ @ X @ Y ) | ( ~( differ @ Y @ X ) ))).
% 3.77/0.93  thf(zip_derived_cl10, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]: ( (differ @ X0 @ X1) | ~ (differ @ X1 @ X0))),
% 3.77/0.93      inference('cnf', [status(esa)], [symmetry_of_differ])).
% 3.77/0.93  thf(zip_derived_cl36, plain, ( (differ @ b @ a)),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl10])).
% 3.77/0.93  thf(differ_a_c, axiom, (differ @ a @ c)).
% 3.77/0.93  thf(zip_derived_cl12, plain, ( (differ @ a @ c)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_a_c])).
% 3.77/0.93  thf(zip_derived_cl10, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]: ( (differ @ X0 @ X1) | ~ (differ @ X1 @ X0))),
% 3.77/0.93      inference('cnf', [status(esa)], [symmetry_of_differ])).
% 3.77/0.93  thf(zip_derived_cl38, plain, ( (differ @ c @ a)),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 3.77/0.93  thf(zip_derived_cl86, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ a) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0))),
% 3.77/0.93      inference('demod', [status(thm)],
% 3.77/0.93                [zip_derived_cl85, zip_derived_cl14, zip_derived_cl36, 
% 3.77/0.93                 zip_derived_cl38])).
% 3.77/0.93  thf(zip_derived_cl89, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         (~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ (do @ (putdown @ X2 @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ empty @ (do @ (putdown @ X2 @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ a) @ (do @ (putdown @ X2 @ X1) @ X0)))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl86])).
% 3.77/0.93  thf(zip_derived_cl162, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ X1) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ (do @ (putdown @ c @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ empty @ (do @ (putdown @ c @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl89])).
% 3.77/0.93  thf(putdown_1, axiom,
% 3.77/0.93    (( holds @ empty @ ( do @ ( putdown @ X @ Y ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( holding @ X ) @ State ) ) | 
% 3.77/0.93     ( ~( holds @ ( clear @ Y ) @ State ) ))).
% 3.77/0.93  thf(zip_derived_cl5, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ empty @ (do @ (putdown @ X0 @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (holding @ X0) @ X2)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_1])).
% 3.77/0.93  thf(zip_derived_cl183, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ (do @ (putdown @ c @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (holding @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X0))),
% 3.77/0.93      inference('clc', [status(thm)], [zip_derived_cl162, zip_derived_cl5])).
% 3.77/0.93  thf(zip_derived_cl184, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (differ @ a @ X1)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl183])).
% 3.77/0.93  thf(zip_derived_cl185, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         (~ (differ @ b @ X1)
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ c) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ X2) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ a) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (differ @ a @ X2))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl184])).
% 3.77/0.93  thf(zip_derived_cl286, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (differ @ c @ table)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (differ @ a @ X1)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ (do @ (pickup @ c) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ (do @ (pickup @ c) @ X0))
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (differ @ b @ c))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl185])).
% 3.77/0.93  thf(differ_c_table, axiom, (differ @ c @ table)).
% 3.77/0.93  thf(zip_derived_cl19, plain, ( (differ @ c @ table)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_c_table])).
% 3.77/0.93  thf(differ_b_c, axiom, (differ @ b @ c)).
% 3.77/0.93  thf(zip_derived_cl15, plain, ( (differ @ b @ c)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_b_c])).
% 3.77/0.93  thf(zip_derived_cl287, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (differ @ a @ X1)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ (do @ (pickup @ c) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ (do @ (pickup @ c) @ X0))
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0))),
% 3.77/0.93      inference('demod', [status(thm)],
% 3.77/0.93                [zip_derived_cl286, zip_derived_cl19, zip_derived_cl15])).
% 3.77/0.93  thf(zip_derived_cl288, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ (do @ (pickup @ c) @ X0))
% 3.77/0.93          | ~ (differ @ a @ X1)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl287])).
% 3.77/0.93  thf(zip_derived_cl291, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (differ @ a @ X1)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ (do @ (pickup @ c) @ X0))
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0))),
% 3.77/0.93      inference('simplify', [status(thm)], [zip_derived_cl288])).
% 3.77/0.93  thf(zip_derived_cl295, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0)
% 3.77/0.93          | ~ (differ @ a @ table))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl291])).
% 3.77/0.93  thf(zip_derived_cl14, plain, ( (differ @ a @ table)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_a_table])).
% 3.77/0.93  thf(zip_derived_cl298, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ X0))),
% 3.77/0.93      inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl14])).
% 3.77/0.93  thf(zip_derived_cl302, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         (~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ b @ d) @ (do @ (putdown @ X2 @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ c) @ (do @ (putdown @ X2 @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ empty @ (do @ (putdown @ X2 @ X1) @ X0)))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl298])).
% 3.77/0.93  thf(zip_derived_cl328, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ b) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ (do @ (putdown @ b @ d) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ c) @ (do @ (putdown @ b @ d) @ X0))
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl302])).
% 3.77/0.93  thf(zip_derived_cl5, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ empty @ (do @ (putdown @ X0 @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (holding @ X0) @ X2)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_1])).
% 3.77/0.93  thf(zip_derived_cl340, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ (do @ (putdown @ b @ d) @ X0))
% 3.77/0.93          | ~ (holds @ (holding @ b) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ d) @ X0))),
% 3.77/0.93      inference('clc', [status(thm)], [zip_derived_cl328, zip_derived_cl5])).
% 3.77/0.93  thf(zip_derived_cl341, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (differ @ c @ d)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ b) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl340])).
% 3.77/0.93  thf(differ_c_d, axiom, (differ @ c @ d)).
% 3.77/0.93  thf(zip_derived_cl18, plain, ( (differ @ c @ d)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_c_d])).
% 3.77/0.93  thf(zip_derived_cl342, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ b) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0))),
% 3.77/0.93      inference('demod', [status(thm)], [zip_derived_cl341, zip_derived_cl18])).
% 3.77/0.93  thf(zip_derived_cl343, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (differ @ c @ X1)
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ b) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ d) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ c) @ (do @ (pickup @ X1) @ X0)))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl342])).
% 3.77/0.93  thf(zip_derived_cl346, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (differ @ b @ table)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ (do @ (pickup @ b) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ d) @ (do @ (pickup @ b) @ X0))
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (differ @ c @ b))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl343])).
% 3.77/0.93  thf(differ_b_table, axiom, (differ @ b @ table)).
% 3.77/0.93  thf(zip_derived_cl17, plain, ( (differ @ b @ table)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_b_table])).
% 3.77/0.93  thf(zip_derived_cl15, plain, ( (differ @ b @ c)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_b_c])).
% 3.77/0.93  thf(zip_derived_cl10, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]: ( (differ @ X0 @ X1) | ~ (differ @ X1 @ X0))),
% 3.77/0.93      inference('cnf', [status(esa)], [symmetry_of_differ])).
% 3.77/0.93  thf(zip_derived_cl44, plain, ( (differ @ c @ b)),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl10])).
% 3.77/0.93  thf(zip_derived_cl347, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ b) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ (do @ (pickup @ b) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ d) @ (do @ (pickup @ b) @ X0))
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0))),
% 3.77/0.93      inference('demod', [status(thm)],
% 3.77/0.93                [zip_derived_cl346, zip_derived_cl17, zip_derived_cl44])).
% 3.77/0.93  thf(zip_derived_cl349, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (differ @ c @ b)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ d) @ (do @ (pickup @ b) @ X0))
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl347])).
% 3.77/0.93  thf(zip_derived_cl44, plain, ( (differ @ c @ b)),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl10])).
% 3.77/0.93  thf(zip_derived_cl351, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ d) @ (do @ (pickup @ b) @ X0))
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0))),
% 3.77/0.93      inference('demod', [status(thm)], [zip_derived_cl349, zip_derived_cl44])).
% 3.77/0.93  thf(zip_derived_cl353, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (differ @ d @ b)
% 3.77/0.93          | ~ (holds @ (clear @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl351])).
% 3.77/0.93  thf(differ_b_d, axiom, (differ @ b @ d)).
% 3.77/0.93  thf(zip_derived_cl16, plain, ( (differ @ b @ d)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_b_d])).
% 3.77/0.93  thf(zip_derived_cl10, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]: ( (differ @ X0 @ X1) | ~ (differ @ X1 @ X0))),
% 3.77/0.93      inference('cnf', [status(esa)], [symmetry_of_differ])).
% 3.77/0.93  thf(zip_derived_cl46, plain, ( (differ @ d @ b)),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl10])).
% 3.77/0.93  thf(zip_derived_cl355, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0))),
% 3.77/0.93      inference('demod', [status(thm)], [zip_derived_cl353, zip_derived_cl46])).
% 3.77/0.93  thf(zip_derived_cl361, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ (do @ (putdown @ c @ a) @ X0))
% 3.77/0.93          | ~ (holds @ empty @ (do @ (putdown @ c @ a) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ b) @ (do @ (putdown @ c @ a) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ d) @ (do @ (putdown @ c @ a) @ X0)))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl355])).
% 3.77/0.93  thf(zip_derived_cl7, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ (clear @ X0) @ (do @ (putdown @ X0 @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (holding @ X0) @ X2)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_3])).
% 3.77/0.93  thf(zip_derived_cl694, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ d) @ (do @ (putdown @ c @ a) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ b) @ (do @ (putdown @ c @ a) @ X0))
% 3.77/0.93          | ~ (holds @ empty @ (do @ (putdown @ c @ a) @ X0))
% 3.77/0.93          | ~ (holds @ (holding @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ X0))),
% 3.77/0.93      inference('clc', [status(thm)], [zip_derived_cl361, zip_derived_cl7])).
% 3.77/0.93  thf(zip_derived_cl5, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.77/0.93         ( (holds @ empty @ (do @ (putdown @ X0 @ X1) @ X2))
% 3.77/0.93          | ~ (holds @ (holding @ X0) @ X2)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X2))),
% 3.77/0.93      inference('cnf', [status(esa)], [putdown_1])).
% 3.77/0.93  thf(zip_derived_cl695, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ (do @ (putdown @ c @ a) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ d) @ (do @ (putdown @ c @ a) @ X0)))),
% 3.77/0.93      inference('clc', [status(thm)], [zip_derived_cl694, zip_derived_cl5])).
% 3.77/0.93  thf(zip_derived_cl696, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (differ @ b @ a)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ d) @ (do @ (putdown @ c @ a) @ X0))
% 3.77/0.93          | ~ (holds @ (holding @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl695])).
% 3.77/0.93  thf(zip_derived_cl36, plain, ( (differ @ b @ a)),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl10])).
% 3.77/0.93  thf(zip_derived_cl697, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ b) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ d) @ (do @ (putdown @ c @ a) @ X0))
% 3.77/0.93          | ~ (holds @ (holding @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ X0))),
% 3.77/0.93      inference('demod', [status(thm)], [zip_derived_cl696, zip_derived_cl36])).
% 3.77/0.93  thf(zip_derived_cl698, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (differ @ d @ a)
% 3.77/0.93          | ~ (holds @ (clear @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl697])).
% 3.77/0.93  thf(differ_a_d, axiom, (differ @ a @ d)).
% 3.77/0.93  thf(zip_derived_cl13, plain, ( (differ @ a @ d)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_a_d])).
% 3.77/0.93  thf(zip_derived_cl10, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]: ( (differ @ X0 @ X1) | ~ (differ @ X1 @ X0))),
% 3.77/0.93      inference('cnf', [status(esa)], [symmetry_of_differ])).
% 3.77/0.93  thf(zip_derived_cl40, plain, ( (differ @ d @ a)),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl10])).
% 3.77/0.93  thf(zip_derived_cl699, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ c) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0))),
% 3.77/0.93      inference('demod', [status(thm)], [zip_derived_cl698, zip_derived_cl40])).
% 3.77/0.93  thf(zip_derived_cl700, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ X1 @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (holding @ c) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ a) @ (do @ (pickup @ X1) @ X0)))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl699])).
% 3.77/0.93  thf(zip_derived_cl734, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (differ @ b @ X1)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (holding @ c) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (on @ X1 @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl700])).
% 3.77/0.93  thf(zip_derived_cl765, plain,
% 3.77/0.93      (![X0 : $i, X1 : $i]:
% 3.77/0.93         (~ (differ @ a @ X1)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ X1) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ X1 @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (holding @ c) @ (do @ (pickup @ X1) @ X0))
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0)
% 3.77/0.93          | ~ (differ @ b @ X1))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl734])).
% 3.77/0.93  thf(zip_derived_cl775, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (differ @ c @ table)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (differ @ b @ c)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ X0)
% 3.77/0.93          | ~ (differ @ a @ c))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl765])).
% 3.77/0.93  thf(zip_derived_cl19, plain, ( (differ @ c @ table)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_c_table])).
% 3.77/0.93  thf(zip_derived_cl15, plain, ( (differ @ b @ c)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_b_c])).
% 3.77/0.93  thf(zip_derived_cl12, plain, ( (differ @ a @ c)),
% 3.77/0.93      inference('cnf', [status(esa)], [differ_a_c])).
% 3.77/0.93  thf(zip_derived_cl776, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ a) @ X0))),
% 3.77/0.93      inference('demod', [status(thm)],
% 3.77/0.93                [zip_derived_cl775, zip_derived_cl19, zip_derived_cl15, 
% 3.77/0.93                 zip_derived_cl12])).
% 3.77/0.93  thf(zip_derived_cl777, plain,
% 3.77/0.93      (![X0 : $i]:
% 3.77/0.93         (~ (holds @ (clear @ a) @ X0)
% 3.77/0.93          | ~ (holds @ (on @ c @ d) @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ b) @ X0)
% 3.77/0.93          | ~ (holds @ empty @ X0)
% 3.77/0.93          | ~ (holds @ (clear @ c) @ X0))),
% 3.77/0.93      inference('simplify', [status(thm)], [zip_derived_cl776])).
% 3.77/0.93  thf(zip_derived_cl781, plain,
% 3.77/0.93      ((~ (holds @ (clear @ c) @ s0)
% 3.77/0.93        | ~ (holds @ empty @ s0)
% 3.77/0.93        | ~ (holds @ (clear @ b) @ s0)
% 3.77/0.93        | ~ (holds @ (clear @ a) @ s0))),
% 3.77/0.93      inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl777])).
% 3.77/0.93  thf(initial_state7, axiom, (holds @ ( clear @ c ) @ s0)).
% 3.77/0.93  thf(zip_derived_cl27, plain, ( (holds @ (clear @ c) @ s0)),
% 3.77/0.93      inference('cnf', [status(esa)], [initial_state7])).
% 3.77/0.93  thf(initial_state8, axiom, (holds @ empty @ s0)).
% 3.77/0.93  thf(zip_derived_cl28, plain, ( (holds @ empty @ s0)),
% 3.77/0.93      inference('cnf', [status(esa)], [initial_state8])).
% 3.77/0.93  thf(initial_state6, axiom, (holds @ ( clear @ b ) @ s0)).
% 3.77/0.93  thf(zip_derived_cl26, plain, ( (holds @ (clear @ b) @ s0)),
% 3.77/0.93      inference('cnf', [status(esa)], [initial_state6])).
% 3.77/0.93  thf(initial_state5, axiom, (holds @ ( clear @ a ) @ s0)).
% 3.77/0.93  thf(zip_derived_cl25, plain, ( (holds @ (clear @ a) @ s0)),
% 3.77/0.93      inference('cnf', [status(esa)], [initial_state5])).
% 3.77/0.93  thf(zip_derived_cl782, plain, ($false),
% 3.77/0.93      inference('demod', [status(thm)],
% 3.77/0.93                [zip_derived_cl781, zip_derived_cl27, zip_derived_cl28, 
% 3.77/0.93                 zip_derived_cl26, zip_derived_cl25])).
% 3.77/0.93  
% 3.77/0.93  % SZS output end Refutation
% 3.77/0.93  
% 3.77/0.93  
% 3.77/0.93  % Terminating...
% 4.20/1.01  % Runner terminated.
% 4.20/1.03  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------