%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PLA004-1 : TPTP v9.2.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fHM1MaTJfQ true
% Computer : n005.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 04:49:09 PM UTC 2025
% Result : Unsatisfiable 0.35s 0.88s
% Output : Refutation 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.16 % Problem : PLA004-1 : TPTP v9.2.0. Released v1.1.0.
% 0.12/0.17 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fHM1MaTJfQ true
% 0.15/0.39 % Computer : n005.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8042.1875MB
% 0.15/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Wed Oct 1 11:07:23 EDT 2025
% 0.15/0.39 % CPUTime :
% 0.15/0.39 % Running portfolio for 300 s
% 0.15/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % Number of cores: 8
% 0.15/0.40 % Python version: Python 3.6.8
% 0.15/0.40 % Running in FO mode
% 0.34/0.69 % Total configuration time : 435
% 0.34/0.69 % Estimated wc time : 1092
% 0.34/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.35/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.35/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.35/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.35/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.35/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.35/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.35/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.35/0.88 % Solved by fo/fo4.sh.
% 0.35/0.88 % done 77 iterations in 0.042s
% 0.35/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.35/0.88 % SZS output start Refutation
% 0.35/0.88 thf(empty_type, type, empty: $i).
% 0.35/0.88 thf(on_type, type, on: $i > $i > $i).
% 0.35/0.88 thf(clear_type, type, clear: $i > $i).
% 0.35/0.88 thf(s0_type, type, s0: $i).
% 0.35/0.88 thf(holding_type, type, holding: $i > $i).
% 0.35/0.88 thf(a_type, type, a: $i).
% 0.35/0.88 thf(and_type, type, and: $i > $i > $i).
% 0.35/0.88 thf(differ_type, type, differ: $i > $i > $o).
% 0.35/0.88 thf(putdown_type, type, putdown: $i > $i > $i).
% 0.35/0.88 thf(b_type, type, b: $i).
% 0.35/0.88 thf(holds_type, type, holds: $i > $i > $o).
% 0.35/0.88 thf(do_type, type, do: $i > $i > $i).
% 0.35/0.88 thf(c_type, type, c: $i).
% 0.35/0.88 thf(table_type, type, table: $i).
% 0.35/0.88 thf(pickup_type, type, pickup: $i > $i).
% 0.35/0.88 thf(initial_state5, axiom, (holds @ ( clear @ a ) @ s0)).
% 0.35/0.88 thf(zip_derived_cl25, plain, ( (holds @ (clear @ a) @ s0)),
% 0.35/0.88 inference('cnf', [status(esa)], [initial_state5])).
% 0.35/0.88 thf(symmetry_of_differ, axiom,
% 0.35/0.88 (( differ @ X @ Y ) | ( ~( differ @ Y @ X ) ))).
% 0.35/0.88 thf(zip_derived_cl10, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i]: ( (differ @ X0 @ X1) | ~ (differ @ X1 @ X0))),
% 0.35/0.88 inference('cnf', [status(esa)], [symmetry_of_differ])).
% 0.35/0.88 thf(pickup_1, axiom,
% 0.35/0.88 (( holds @ ( holding @ X ) @ ( do @ ( pickup @ X ) @ State ) ) |
% 0.35/0.88 ( ~( holds @ empty @ State ) ) | ( ~( holds @ ( clear @ X ) @ State ) ) |
% 0.35/0.88 ( ~( differ @ X @ table ) ))).
% 0.35/0.88 thf(zip_derived_cl1, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i]:
% 0.35/0.88 ( (holds @ (holding @ X0) @ (do @ (pickup @ X0) @ X1))
% 0.35/0.88 | ~ (holds @ empty @ X1)
% 0.35/0.88 | ~ (holds @ (clear @ X0) @ X1)
% 0.35/0.88 | ~ (differ @ X0 @ table))),
% 0.35/0.88 inference('cnf', [status(esa)], [pickup_1])).
% 0.35/0.88 thf(pickup_4, axiom,
% 0.35/0.88 (( holds @ ( clear @ X ) @ ( do @ ( pickup @ Z ) @ State ) ) |
% 0.35/0.88 ( ~( holds @ ( clear @ X ) @ State ) ) | ( ~( differ @ X @ Z ) ))).
% 0.35/0.88 thf(zip_derived_cl4, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.35/0.88 ( (holds @ (clear @ X0) @ (do @ (pickup @ X1) @ X2))
% 0.35/0.88 | ~ (holds @ (clear @ X0) @ X2)
% 0.35/0.88 | ~ (differ @ X0 @ X1))),
% 0.35/0.88 inference('cnf', [status(esa)], [pickup_4])).
% 0.35/0.88 thf(zip_derived_cl4, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.35/0.88 ( (holds @ (clear @ X0) @ (do @ (pickup @ X1) @ X2))
% 0.35/0.88 | ~ (holds @ (clear @ X0) @ X2)
% 0.35/0.88 | ~ (differ @ X0 @ X1))),
% 0.35/0.88 inference('cnf', [status(esa)], [pickup_4])).
% 0.35/0.88 thf(putdown_5, axiom,
% 0.35/0.88 (( holds @ ( clear @ Z ) @ ( do @ ( putdown @ X @ Y ) @ State ) ) |
% 0.35/0.88 ( ~( holds @ ( clear @ Z ) @ State ) ) | ( ~( differ @ Z @ Y ) ))).
% 0.35/0.88 thf(zip_derived_cl9, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.35/0.88 ( (holds @ (clear @ X0) @ (do @ (putdown @ X1 @ X2) @ X3))
% 0.35/0.88 | ~ (holds @ (clear @ X0) @ X3)
% 0.35/0.88 | ~ (differ @ X0 @ X2))),
% 0.35/0.88 inference('cnf', [status(esa)], [putdown_5])).
% 0.35/0.88 thf(putdown_2, axiom,
% 0.35/0.88 (( holds @ ( on @ X @ Y ) @ ( do @ ( putdown @ X @ Y ) @ State ) ) |
% 0.35/0.88 ( ~( holds @ ( holding @ X ) @ State ) ) |
% 0.35/0.88 ( ~( holds @ ( clear @ Y ) @ State ) ))).
% 0.35/0.88 thf(zip_derived_cl6, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.35/0.88 ( (holds @ (on @ X0 @ X1) @ (do @ (putdown @ X0 @ X1) @ X2))
% 0.35/0.88 | ~ (holds @ (holding @ X0) @ X2)
% 0.35/0.88 | ~ (holds @ (clear @ X1) @ X2))),
% 0.35/0.88 inference('cnf', [status(esa)], [putdown_2])).
% 0.35/0.88 thf(zip_derived_cl4, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.35/0.88 ( (holds @ (clear @ X0) @ (do @ (pickup @ X1) @ X2))
% 0.35/0.88 | ~ (holds @ (clear @ X0) @ X2)
% 0.35/0.88 | ~ (differ @ X0 @ X1))),
% 0.35/0.88 inference('cnf', [status(esa)], [pickup_4])).
% 0.35/0.88 thf(zip_derived_cl1, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i]:
% 0.35/0.88 ( (holds @ (holding @ X0) @ (do @ (pickup @ X0) @ X1))
% 0.35/0.88 | ~ (holds @ empty @ X1)
% 0.35/0.88 | ~ (holds @ (clear @ X0) @ X1)
% 0.35/0.88 | ~ (differ @ X0 @ table))),
% 0.35/0.88 inference('cnf', [status(esa)], [pickup_1])).
% 0.35/0.88 thf(pickup_3, axiom,
% 0.35/0.88 (( holds @ ( on @ X @ Y ) @ ( do @ ( pickup @ Z ) @ State ) ) |
% 0.35/0.88 ( ~( holds @ ( on @ X @ Y ) @ State ) ) | ( ~( differ @ X @ Z ) ))).
% 0.35/0.88 thf(zip_derived_cl3, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.35/0.88 ( (holds @ (on @ X0 @ X1) @ (do @ (pickup @ X2) @ X3))
% 0.35/0.88 | ~ (holds @ (on @ X0 @ X1) @ X3)
% 0.35/0.88 | ~ (differ @ X0 @ X2))),
% 0.35/0.88 inference('cnf', [status(esa)], [pickup_3])).
% 0.35/0.88 thf(zip_derived_cl6, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.35/0.88 ( (holds @ (on @ X0 @ X1) @ (do @ (putdown @ X0 @ X1) @ X2))
% 0.35/0.88 | ~ (holds @ (holding @ X0) @ X2)
% 0.35/0.88 | ~ (holds @ (clear @ X1) @ X2))),
% 0.35/0.88 inference('cnf', [status(esa)], [putdown_2])).
% 0.35/0.88 thf(putdown_4, axiom,
% 0.35/0.88 (( holds @ ( on @ X @ Y ) @ ( do @ ( putdown @ Z @ W ) @ State ) ) |
% 0.35/0.88 ( ~( holds @ ( on @ X @ Y ) @ State ) ))).
% 0.35/0.88 thf(zip_derived_cl8, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.35/0.88 ( (holds @ (on @ X0 @ X1) @ (do @ (putdown @ X2 @ X3) @ X4))
% 0.35/0.88 | ~ (holds @ (on @ X0 @ X1) @ X4))),
% 0.35/0.88 inference('cnf', [status(esa)], [putdown_4])).
% 0.35/0.88 thf(and_definition, axiom,
% 0.35/0.88 (( holds @ ( and @ X @ Y ) @ State ) | ( ~( holds @ X @ State ) ) |
% 0.35/0.88 ( ~( holds @ Y @ State ) ))).
% 0.35/0.88 thf(zip_derived_cl0, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.35/0.88 ( (holds @ (and @ X0 @ X1) @ X2)
% 0.35/0.88 | ~ (holds @ X0 @ X2)
% 0.35/0.88 | ~ (holds @ X1 @ X2))),
% 0.35/0.88 inference('cnf', [status(esa)], [and_definition])).
% 0.35/0.88 thf(prove_CBA, conjecture,
% 0.35/0.88 (holds @ ( and @ ( on @ c @ b ) @ ( on @ b @ a ) ) @ State)).
% 0.35/0.88 thf(zf_stmt_0, negated_conjecture,
% 0.35/0.88 (~( holds @ ( and @ ( on @ c @ b ) @ ( on @ b @ a ) ) @ State )),
% 0.35/0.88 inference('cnf.neg', [status(esa)], [prove_CBA])).
% 0.35/0.88 thf(zip_derived_cl30, plain,
% 0.35/0.88 (![X0 : $i]: ~ (holds @ (and @ (on @ c @ b) @ (on @ b @ a)) @ X0)),
% 0.35/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.35/0.88 thf(zip_derived_cl46, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (holds @ (on @ b @ a) @ X0) | ~ (holds @ (on @ c @ b) @ X0))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 0.35/0.88 thf(zip_derived_cl49, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.35/0.88 (~ (holds @ (on @ b @ a) @ X0)
% 0.35/0.88 | ~ (holds @ (on @ c @ b) @ (do @ (putdown @ X2 @ X1) @ X0)))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl46])).
% 0.35/0.88 thf(zip_derived_cl56, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (holds @ (clear @ b) @ X0)
% 0.35/0.88 | ~ (holds @ (holding @ c) @ X0)
% 0.35/0.88 | ~ (holds @ (on @ b @ a) @ X0))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl49])).
% 0.35/0.88 thf(zip_derived_cl57, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i]:
% 0.35/0.88 (~ (differ @ b @ X1)
% 0.35/0.88 | ~ (holds @ (on @ b @ a) @ X0)
% 0.35/0.88 | ~ (holds @ (holding @ c) @ (do @ (pickup @ X1) @ X0))
% 0.35/0.88 | ~ (holds @ (clear @ b) @ (do @ (pickup @ X1) @ X0)))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl56])).
% 0.35/0.88 thf(zip_derived_cl64, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (differ @ c @ table)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ X0)
% 0.35/0.88 | ~ (holds @ empty @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ b) @ (do @ (pickup @ c) @ X0))
% 0.35/0.88 | ~ (holds @ (on @ b @ a) @ X0)
% 0.35/0.88 | ~ (differ @ b @ c))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl57])).
% 0.35/0.88 thf(differ_c_table, axiom, (differ @ c @ table)).
% 0.35/0.88 thf(zip_derived_cl19, plain, ( (differ @ c @ table)),
% 0.35/0.88 inference('cnf', [status(esa)], [differ_c_table])).
% 0.35/0.88 thf(differ_b_c, axiom, (differ @ b @ c)).
% 0.35/0.88 thf(zip_derived_cl15, plain, ( (differ @ b @ c)),
% 0.35/0.88 inference('cnf', [status(esa)], [differ_b_c])).
% 0.35/0.88 thf(zip_derived_cl65, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (holds @ (clear @ c) @ X0)
% 0.35/0.88 | ~ (holds @ empty @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ b) @ (do @ (pickup @ c) @ X0))
% 0.35/0.88 | ~ (holds @ (on @ b @ a) @ X0))),
% 0.35/0.88 inference('demod', [status(thm)],
% 0.35/0.88 [zip_derived_cl64, zip_derived_cl19, zip_derived_cl15])).
% 0.35/0.88 thf(zip_derived_cl67, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (differ @ b @ c)
% 0.35/0.88 | ~ (holds @ (clear @ b) @ X0)
% 0.35/0.88 | ~ (holds @ (on @ b @ a) @ X0)
% 0.35/0.88 | ~ (holds @ empty @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ X0))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl65])).
% 0.35/0.88 thf(zip_derived_cl15, plain, ( (differ @ b @ c)),
% 0.35/0.88 inference('cnf', [status(esa)], [differ_b_c])).
% 0.35/0.88 thf(zip_derived_cl69, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (holds @ (clear @ b) @ X0)
% 0.35/0.88 | ~ (holds @ (on @ b @ a) @ X0)
% 0.35/0.88 | ~ (holds @ empty @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ X0))),
% 0.35/0.88 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl15])).
% 0.35/0.88 thf(zip_derived_cl71, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (holds @ (clear @ a) @ X0)
% 0.35/0.88 | ~ (holds @ (holding @ b) @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ (do @ (putdown @ b @ a) @ X0))
% 0.35/0.88 | ~ (holds @ empty @ (do @ (putdown @ b @ a) @ X0))
% 0.35/0.88 | ~ (holds @ (clear @ b) @ (do @ (putdown @ b @ a) @ X0)))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl69])).
% 0.35/0.88 thf(putdown_1, axiom,
% 0.35/0.88 (( holds @ empty @ ( do @ ( putdown @ X @ Y ) @ State ) ) |
% 0.35/0.88 ( ~( holds @ ( holding @ X ) @ State ) ) |
% 0.35/0.88 ( ~( holds @ ( clear @ Y ) @ State ) ))).
% 0.35/0.88 thf(zip_derived_cl5, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.35/0.88 ( (holds @ empty @ (do @ (putdown @ X0 @ X1) @ X2))
% 0.35/0.88 | ~ (holds @ (holding @ X0) @ X2)
% 0.35/0.88 | ~ (holds @ (clear @ X1) @ X2))),
% 0.35/0.88 inference('cnf', [status(esa)], [putdown_1])).
% 0.35/0.88 thf(zip_derived_cl99, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (holds @ (clear @ b) @ (do @ (putdown @ b @ a) @ X0))
% 0.35/0.88 | ~ (holds @ (clear @ c) @ (do @ (putdown @ b @ a) @ X0))
% 0.35/0.88 | ~ (holds @ (holding @ b) @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ a) @ X0))),
% 0.35/0.88 inference('clc', [status(thm)], [zip_derived_cl71, zip_derived_cl5])).
% 0.35/0.88 thf(putdown_3, axiom,
% 0.35/0.88 (( holds @ ( clear @ X ) @ ( do @ ( putdown @ X @ Y ) @ State ) ) |
% 0.35/0.88 ( ~( holds @ ( holding @ X ) @ State ) ) |
% 0.35/0.88 ( ~( holds @ ( clear @ Y ) @ State ) ))).
% 0.35/0.88 thf(zip_derived_cl7, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.35/0.88 ( (holds @ (clear @ X0) @ (do @ (putdown @ X0 @ X1) @ X2))
% 0.35/0.88 | ~ (holds @ (holding @ X0) @ X2)
% 0.35/0.88 | ~ (holds @ (clear @ X1) @ X2))),
% 0.35/0.88 inference('cnf', [status(esa)], [putdown_3])).
% 0.35/0.88 thf(zip_derived_cl100, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (holds @ (clear @ a) @ X0)
% 0.35/0.88 | ~ (holds @ (holding @ b) @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ (do @ (putdown @ b @ a) @ X0)))),
% 0.35/0.88 inference('clc', [status(thm)], [zip_derived_cl99, zip_derived_cl7])).
% 0.35/0.88 thf(zip_derived_cl101, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (differ @ c @ a)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ X0)
% 0.35/0.88 | ~ (holds @ (holding @ b) @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ a) @ X0))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl100])).
% 0.35/0.88 thf(differ_a_c, axiom, (differ @ a @ c)).
% 0.35/0.88 thf(zip_derived_cl12, plain, ( (differ @ a @ c)),
% 0.35/0.88 inference('cnf', [status(esa)], [differ_a_c])).
% 0.35/0.88 thf(zip_derived_cl10, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i]: ( (differ @ X0 @ X1) | ~ (differ @ X1 @ X0))),
% 0.35/0.88 inference('cnf', [status(esa)], [symmetry_of_differ])).
% 0.35/0.88 thf(zip_derived_cl38, plain, ( (differ @ c @ a)),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.35/0.88 thf(zip_derived_cl102, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (holds @ (clear @ c) @ X0)
% 0.35/0.88 | ~ (holds @ (holding @ b) @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ a) @ X0))),
% 0.35/0.88 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl38])).
% 0.35/0.88 thf(zip_derived_cl104, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i]:
% 0.35/0.88 (~ (differ @ c @ X1)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ a) @ (do @ (pickup @ X1) @ X0))
% 0.35/0.88 | ~ (holds @ (holding @ b) @ (do @ (pickup @ X1) @ X0)))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl102])).
% 0.35/0.88 thf(zip_derived_cl110, plain,
% 0.35/0.88 (![X0 : $i, X1 : $i]:
% 0.35/0.88 (~ (differ @ a @ X1)
% 0.35/0.88 | ~ (holds @ (clear @ a) @ X0)
% 0.35/0.88 | ~ (holds @ (holding @ b) @ (do @ (pickup @ X1) @ X0))
% 0.35/0.88 | ~ (holds @ (clear @ c) @ X0)
% 0.35/0.88 | ~ (differ @ c @ X1))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl104])).
% 0.35/0.88 thf(zip_derived_cl111, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (differ @ b @ table)
% 0.35/0.88 | ~ (holds @ (clear @ b) @ X0)
% 0.35/0.88 | ~ (holds @ empty @ X0)
% 0.35/0.88 | ~ (differ @ c @ b)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ a) @ X0)
% 0.35/0.88 | ~ (differ @ a @ b))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl110])).
% 0.35/0.88 thf(differ_b_table, axiom, (differ @ b @ table)).
% 0.35/0.88 thf(zip_derived_cl17, plain, ( (differ @ b @ table)),
% 0.35/0.88 inference('cnf', [status(esa)], [differ_b_table])).
% 0.35/0.88 thf(differ_a_b, axiom, (differ @ a @ b)).
% 0.35/0.88 thf(zip_derived_cl11, plain, ( (differ @ a @ b)),
% 0.35/0.88 inference('cnf', [status(esa)], [differ_a_b])).
% 0.35/0.88 thf(zip_derived_cl112, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (holds @ (clear @ b) @ X0)
% 0.35/0.88 | ~ (holds @ empty @ X0)
% 0.35/0.88 | ~ (differ @ c @ b)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ a) @ X0))),
% 0.35/0.88 inference('demod', [status(thm)],
% 0.35/0.88 [zip_derived_cl111, zip_derived_cl17, zip_derived_cl11])).
% 0.35/0.88 thf(zip_derived_cl113, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (differ @ b @ c)
% 0.35/0.88 | ~ (holds @ (clear @ a) @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ X0)
% 0.35/0.88 | ~ (holds @ empty @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ b) @ X0))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl112])).
% 0.35/0.88 thf(zip_derived_cl15, plain, ( (differ @ b @ c)),
% 0.35/0.88 inference('cnf', [status(esa)], [differ_b_c])).
% 0.35/0.88 thf(zip_derived_cl114, plain,
% 0.35/0.88 (![X0 : $i]:
% 0.35/0.88 (~ (holds @ (clear @ a) @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ X0)
% 0.35/0.88 | ~ (holds @ empty @ X0)
% 0.35/0.88 | ~ (holds @ (clear @ b) @ X0))),
% 0.35/0.88 inference('demod', [status(thm)], [zip_derived_cl113, zip_derived_cl15])).
% 0.35/0.88 thf(zip_derived_cl119, plain,
% 0.35/0.88 ((~ (holds @ (clear @ b) @ s0)
% 0.35/0.88 | ~ (holds @ empty @ s0)
% 0.35/0.88 | ~ (holds @ (clear @ c) @ s0))),
% 0.35/0.88 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl114])).
% 0.35/0.88 thf(initial_state6, axiom, (holds @ ( clear @ b ) @ s0)).
% 0.35/0.88 thf(zip_derived_cl26, plain, ( (holds @ (clear @ b) @ s0)),
% 0.35/0.88 inference('cnf', [status(esa)], [initial_state6])).
% 0.35/0.88 thf(initial_state8, axiom, (holds @ empty @ s0)).
% 0.35/0.88 thf(zip_derived_cl28, plain, ( (holds @ empty @ s0)),
% 0.35/0.88 inference('cnf', [status(esa)], [initial_state8])).
% 0.35/0.88 thf(initial_state7, axiom, (holds @ ( clear @ c ) @ s0)).
% 0.35/0.88 thf(zip_derived_cl27, plain, ( (holds @ (clear @ c) @ s0)),
% 0.35/0.88 inference('cnf', [status(esa)], [initial_state7])).
% 0.35/0.88 thf(zip_derived_cl120, plain, ($false),
% 0.35/0.88 inference('demod', [status(thm)],
% 0.35/0.88 [zip_derived_cl119, zip_derived_cl26, zip_derived_cl28,
% 0.35/0.88 zip_derived_cl27])).
% 0.35/0.88
% 0.35/0.88 % SZS output end Refutation
% 0.35/0.88
% 0.35/0.88
% 0.35/0.88 % Terminating...
% 0.37/1.00 % Runner terminated.
% 0.37/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------