TSTP Solution File: SWV252-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV252-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7O9e2SSQi8 true
% Computer : n007.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 : Fri Sep 1 00:08:33 EDT 2023
% Result : Unsatisfiable 17.06s 3.07s
% Output : Refutation 17.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV252-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7O9e2SSQi8 true
% 0.13/0.34 % Computer : n007.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 : Tue Aug 29 04:50:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 17.06/3.07 % Solved by fo/fo5.sh.
% 17.06/3.07 % done 2851 iterations in 2.309s
% 17.06/3.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.06/3.07 % SZS output start Refutation
% 17.06/3.07 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 17.06/3.07 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 17.06/3.07 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 17.06/3.07 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 17.06/3.07 thf(c_Message_Oparts_type, type, c_Message_Oparts: $i > $i).
% 17.06/3.07 thf(v_X_type, type, v_X: $i).
% 17.06/3.07 thf(c_Message_Osynth_type, type, c_Message_Osynth: $i > $i).
% 17.06/3.07 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 17.06/3.07 thf(tc_set_type, type, tc_set: $i > $i).
% 17.06/3.07 thf(c_union_type, type, c_union: $i > $i > $i > $i).
% 17.06/3.07 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 17.06/3.07 thf(v_H_type, type, v_H: $i).
% 17.06/3.07 thf(cls_conjecture_1, conjecture,
% 17.06/3.07 (c_lessequals @
% 17.06/3.07 ( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @
% 17.06/3.07 ( c_union @
% 17.06/3.07 ( c_Message_Osynth @ ( c_Message_Oanalz @ v_H ) ) @
% 17.06/3.07 ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ) @
% 17.06/3.07 ( tc_set @ tc_Message_Omsg ))).
% 17.06/3.07 thf(zf_stmt_0, negated_conjecture,
% 17.06/3.07 (~( c_lessequals @
% 17.06/3.07 ( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @
% 17.06/3.07 ( c_union @
% 17.06/3.07 ( c_Message_Osynth @ ( c_Message_Oanalz @ v_H ) ) @
% 17.06/3.07 ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ) @
% 17.06/3.07 ( tc_set @ tc_Message_Omsg ) )),
% 17.06/3.07 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 17.06/3.07 thf(zip_derived_cl1, plain,
% 17.06/3.07 (~ (c_lessequals @
% 17.06/3.07 (c_Message_Oparts @ (c_insert @ v_X @ v_H @ tc_Message_Omsg)) @
% 17.06/3.07 (c_union @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H)) @
% 17.06/3.07 (c_Message_Oparts @ v_H) @ tc_Message_Omsg) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))),
% 17.06/3.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.06/3.07 thf(cls_Orderings_Oorder__class_Oaxioms__1_0, axiom,
% 17.06/3.07 (( ~( class_Orderings_Oorder @ T_a ) ) | ( c_lessequals @ V_x @ V_x @ T_a ))).
% 17.06/3.07 thf(zip_derived_cl8, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (class_Orderings_Oorder @ X0) | (c_lessequals @ X1 @ X1 @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)],
% 17.06/3.07 [cls_Orderings_Oorder__class_Oaxioms__1_0])).
% 17.06/3.07 thf(cls_Set_OUn__subset__iff_1, axiom,
% 17.06/3.07 (( ~( c_lessequals @ ( c_union @ V_A @ V_B @ T_a ) @ V_C @ ( tc_set @ T_a ) ) ) |
% 17.06/3.07 ( c_lessequals @ V_B @ V_C @ ( tc_set @ T_a ) ))).
% 17.06/3.07 thf(zip_derived_cl12, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.06/3.07 (~ (c_lessequals @ (c_union @ X0 @ X1 @ X2) @ X3 @ (tc_set @ X2))
% 17.06/3.07 | (c_lessequals @ X1 @ X3 @ (tc_set @ X2)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Set_OUn__subset__iff_1])).
% 17.06/3.07 thf(zip_derived_cl79, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (~ (class_Orderings_Oorder @ (tc_set @ X0))
% 17.06/3.07 | (c_lessequals @ X1 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0)))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl12])).
% 17.06/3.07 thf(clsarity_set_2, axiom, (class_Orderings_Oorder @ ( tc_set @ T_1 ))).
% 17.06/3.07 thf(zip_derived_cl18, plain,
% 17.06/3.07 (![X0 : $i]: (class_Orderings_Oorder @ (tc_set @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)], [clsarity_set_2])).
% 17.06/3.07 thf(zip_derived_cl87, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (c_lessequals @ X1 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 17.06/3.07 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl18])).
% 17.06/3.07 thf(zip_derived_cl8, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (class_Orderings_Oorder @ X0) | (c_lessequals @ X1 @ X1 @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)],
% 17.06/3.07 [cls_Orderings_Oorder__class_Oaxioms__1_0])).
% 17.06/3.07 thf(cls_Set_OUn__subset__iff_0, axiom,
% 17.06/3.07 (( ~( c_lessequals @ ( c_union @ V_A @ V_B @ T_a ) @ V_C @ ( tc_set @ T_a ) ) ) |
% 17.06/3.07 ( c_lessequals @ V_A @ V_C @ ( tc_set @ T_a ) ))).
% 17.06/3.07 thf(zip_derived_cl11, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.06/3.07 (~ (c_lessequals @ (c_union @ X0 @ X1 @ X2) @ X3 @ (tc_set @ X2))
% 17.06/3.07 | (c_lessequals @ X0 @ X3 @ (tc_set @ X2)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Set_OUn__subset__iff_0])).
% 17.06/3.07 thf(zip_derived_cl70, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (~ (class_Orderings_Oorder @ (tc_set @ X0))
% 17.06/3.07 | (c_lessequals @ X2 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0)))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl11])).
% 17.06/3.07 thf(zip_derived_cl18, plain,
% 17.06/3.07 (![X0 : $i]: (class_Orderings_Oorder @ (tc_set @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)], [clsarity_set_2])).
% 17.06/3.07 thf(zip_derived_cl78, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (c_lessequals @ X2 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 17.06/3.07 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl18])).
% 17.06/3.07 thf(cls_Set_OUn__subset__iff_2, axiom,
% 17.06/3.07 (( ~( c_lessequals @ V_B @ V_C @ ( tc_set @ T_a ) ) ) |
% 17.06/3.07 ( ~( c_lessequals @ V_A @ V_C @ ( tc_set @ T_a ) ) ) |
% 17.06/3.07 ( c_lessequals @ ( c_union @ V_A @ V_B @ T_a ) @ V_C @ ( tc_set @ T_a ) ))).
% 17.06/3.07 thf(zip_derived_cl13, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.06/3.07 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 17.06/3.07 | ~ (c_lessequals @ X3 @ X1 @ (tc_set @ X2))
% 17.06/3.07 | (c_lessequals @ (c_union @ X3 @ X0 @ X2) @ X1 @ (tc_set @ X2)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Set_OUn__subset__iff_2])).
% 17.06/3.07 thf(zip_derived_cl243, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.06/3.07 ( (c_lessequals @ (c_union @ X3 @ X2 @ X0) @
% 17.06/3.07 (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 17.06/3.07 | ~ (c_lessequals @ X3 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0)))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl13])).
% 17.06/3.07 thf(zip_derived_cl3749, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (c_lessequals @ (c_union @ X1 @ X2 @ X0) @
% 17.06/3.07 (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl243])).
% 17.06/3.07 thf(cls_Set_Osubset__antisym_0, axiom,
% 17.06/3.07 (( ~( c_lessequals @ V_B @ V_A @ ( tc_set @ T_a ) ) ) |
% 17.06/3.07 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 17.06/3.07 ( ( V_A ) = ( V_B ) ))).
% 17.06/3.07 thf(zip_derived_cl17, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 17.06/3.07 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 17.06/3.07 | ((X1) = (X0)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 17.06/3.07 thf(zip_derived_cl17494, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (((c_union @ X2 @ X1 @ X0) = (c_union @ X1 @ X2 @ X0))
% 17.06/3.07 | ~ (c_lessequals @ (c_union @ X2 @ X1 @ X0) @
% 17.06/3.07 (c_union @ X1 @ X2 @ X0) @ (tc_set @ X0)))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl3749, zip_derived_cl17])).
% 17.06/3.07 thf(zip_derived_cl3749, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (c_lessequals @ (c_union @ X1 @ X2 @ X0) @
% 17.06/3.07 (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl243])).
% 17.06/3.07 thf(zip_derived_cl17573, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 ((c_union @ X2 @ X1 @ X0) = (c_union @ X1 @ X2 @ X0))),
% 17.06/3.07 inference('demod', [status(thm)],
% 17.06/3.07 [zip_derived_cl17494, zip_derived_cl3749])).
% 17.06/3.07 thf(cls_Message_Oparts__analz_0, axiom,
% 17.06/3.07 (( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) ) =
% 17.06/3.07 ( c_Message_Oparts @ V_H ))).
% 17.06/3.07 thf(zip_derived_cl4, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 ((c_Message_Oparts @ (c_Message_Oanalz @ X0))
% 17.06/3.07 = (c_Message_Oparts @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Message_Oparts__analz_0])).
% 17.06/3.07 thf(cls_Message_Oparts__synth_0, axiom,
% 17.06/3.07 (( c_Message_Oparts @ ( c_Message_Osynth @ V_H ) ) =
% 17.06/3.07 ( c_union @
% 17.06/3.07 ( c_Message_Oparts @ V_H ) @ ( c_Message_Osynth @ V_H ) @
% 17.06/3.07 tc_Message_Omsg ))).
% 17.06/3.07 thf(zip_derived_cl7, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 ((c_Message_Oparts @ (c_Message_Osynth @ X0))
% 17.06/3.07 = (c_union @ (c_Message_Oparts @ X0) @ (c_Message_Osynth @ X0) @
% 17.06/3.07 tc_Message_Omsg))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Message_Oparts__synth_0])).
% 17.06/3.07 thf(zip_derived_cl22, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 ((c_Message_Oparts @ (c_Message_Osynth @ (c_Message_Oanalz @ X0)))
% 17.06/3.07 = (c_union @ (c_Message_Oparts @ X0) @
% 17.06/3.07 (c_Message_Osynth @ (c_Message_Oanalz @ X0)) @ tc_Message_Omsg))),
% 17.06/3.07 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 17.06/3.07 thf(cls_conjecture_0, conjecture,
% 17.06/3.07 (~( c_in @
% 17.06/3.07 v_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ v_H ) ) @
% 17.06/3.07 tc_Message_Omsg ))).
% 17.06/3.07 thf(zf_stmt_1, negated_conjecture,
% 17.06/3.07 (c_in @
% 17.06/3.07 v_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ v_H ) ) @ tc_Message_Omsg),
% 17.06/3.07 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 17.06/3.07 thf(zip_derived_cl0, plain,
% 17.06/3.07 ( (c_in @ v_X @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H)) @
% 17.06/3.07 tc_Message_Omsg)),
% 17.06/3.07 inference('cnf', [status(esa)], [zf_stmt_1])).
% 17.06/3.07 thf(zip_derived_cl8, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (class_Orderings_Oorder @ X0) | (c_lessequals @ X1 @ X1 @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)],
% 17.06/3.07 [cls_Orderings_Oorder__class_Oaxioms__1_0])).
% 17.06/3.07 thf(cls_Set_Oinsert__subset_2, axiom,
% 17.06/3.07 (( ~( c_in @ V_x @ V_B @ T_a ) ) |
% 17.06/3.07 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 17.06/3.07 ( c_lessequals @ ( c_insert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_set @ T_a ) ))).
% 17.06/3.07 thf(zip_derived_cl16, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.06/3.07 (~ (c_in @ X0 @ X1 @ X2)
% 17.06/3.07 | ~ (c_lessequals @ X3 @ X1 @ (tc_set @ X2))
% 17.06/3.07 | (c_lessequals @ (c_insert @ X0 @ X3 @ X2) @ X1 @ (tc_set @ X2)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Set_Oinsert__subset_2])).
% 17.06/3.07 thf(zip_derived_cl140, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (~ (class_Orderings_Oorder @ (tc_set @ X0))
% 17.06/3.07 | (c_lessequals @ (c_insert @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0))
% 17.06/3.07 | ~ (c_in @ X2 @ X1 @ X0))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl16])).
% 17.06/3.07 thf(zip_derived_cl18, plain,
% 17.06/3.07 (![X0 : $i]: (class_Orderings_Oorder @ (tc_set @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)], [clsarity_set_2])).
% 17.06/3.07 thf(zip_derived_cl148, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 ( (c_lessequals @ (c_insert @ X2 @ X1 @ X0) @ X1 @ (tc_set @ X0))
% 17.06/3.07 | ~ (c_in @ X2 @ X1 @ X0))),
% 17.06/3.07 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl18])).
% 17.06/3.07 thf(zip_derived_cl2710, plain,
% 17.06/3.07 ( (c_lessequals @
% 17.06/3.07 (c_insert @ v_X @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H)) @
% 17.06/3.07 tc_Message_Omsg) @
% 17.06/3.07 (c_Message_Osynth @ (c_Message_Oanalz @ v_H)) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl148])).
% 17.06/3.07 thf(zip_derived_cl17, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 17.06/3.07 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 17.06/3.07 | ((X1) = (X0)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 17.06/3.07 thf(zip_derived_cl2712, plain,
% 17.06/3.07 ((((c_Message_Osynth @ (c_Message_Oanalz @ v_H))
% 17.06/3.07 = (c_insert @ v_X @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H)) @
% 17.06/3.07 tc_Message_Omsg))
% 17.06/3.07 | ~ (c_lessequals @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H)) @
% 17.06/3.07 (c_insert @ v_X @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H)) @
% 17.06/3.07 tc_Message_Omsg) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg)))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl2710, zip_derived_cl17])).
% 17.06/3.07 thf(zip_derived_cl8, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (class_Orderings_Oorder @ X0) | (c_lessequals @ X1 @ X1 @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)],
% 17.06/3.07 [cls_Orderings_Oorder__class_Oaxioms__1_0])).
% 17.06/3.07 thf(cls_Set_Oinsert__subset_1, axiom,
% 17.06/3.07 (( ~( c_lessequals @
% 17.06/3.07 ( c_insert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_set @ T_a ) ) ) |
% 17.06/3.07 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 17.06/3.07 thf(zip_derived_cl15, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.06/3.07 (~ (c_lessequals @ (c_insert @ X0 @ X1 @ X2) @ X3 @ (tc_set @ X2))
% 17.06/3.07 | (c_lessequals @ X1 @ X3 @ (tc_set @ X2)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Set_Oinsert__subset_1])).
% 17.06/3.07 thf(zip_derived_cl133, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (~ (class_Orderings_Oorder @ (tc_set @ X0))
% 17.06/3.07 | (c_lessequals @ X1 @ (c_insert @ X2 @ X1 @ X0) @ (tc_set @ X0)))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl15])).
% 17.06/3.07 thf(zip_derived_cl18, plain,
% 17.06/3.07 (![X0 : $i]: (class_Orderings_Oorder @ (tc_set @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)], [clsarity_set_2])).
% 17.06/3.07 thf(zip_derived_cl139, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (c_lessequals @ X1 @ (c_insert @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 17.06/3.07 inference('demod', [status(thm)], [zip_derived_cl133, zip_derived_cl18])).
% 17.06/3.07 thf(zip_derived_cl2717, plain,
% 17.06/3.07 (((c_Message_Osynth @ (c_Message_Oanalz @ v_H))
% 17.06/3.07 = (c_insert @ v_X @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H)) @
% 17.06/3.07 tc_Message_Omsg))),
% 17.06/3.07 inference('demod', [status(thm)], [zip_derived_cl2712, zip_derived_cl139])).
% 17.06/3.07 thf(cls_Message_Oanalz__parts_0, axiom,
% 17.06/3.07 (( c_Message_Oanalz @ ( c_Message_Oparts @ V_H ) ) =
% 17.06/3.07 ( c_Message_Oparts @ V_H ))).
% 17.06/3.07 thf(zip_derived_cl2, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 ((c_Message_Oanalz @ (c_Message_Oparts @ X0))
% 17.06/3.07 = (c_Message_Oparts @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Message_Oanalz__parts_0])).
% 17.06/3.07 thf(zip_derived_cl8, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (class_Orderings_Oorder @ X0) | (c_lessequals @ X1 @ X1 @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)],
% 17.06/3.07 [cls_Orderings_Oorder__class_Oaxioms__1_0])).
% 17.06/3.07 thf(cls_Message_Oanalz__subset__iff_0, axiom,
% 17.06/3.07 (( ~( c_lessequals @
% 17.06/3.07 ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @
% 17.06/3.07 ( tc_set @ tc_Message_Omsg ) ) ) |
% 17.06/3.07 ( c_lessequals @
% 17.06/3.07 V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_set @ tc_Message_Omsg ) ))).
% 17.06/3.07 thf(zip_derived_cl3, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (c_lessequals @ (c_Message_Oanalz @ X0) @
% 17.06/3.07 (c_Message_Oanalz @ X1) @ (tc_set @ tc_Message_Omsg))
% 17.06/3.07 | (c_lessequals @ X0 @ (c_Message_Oanalz @ X1) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Message_Oanalz__subset__iff_0])).
% 17.06/3.07 thf(zip_derived_cl26, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 (~ (class_Orderings_Oorder @ (tc_set @ tc_Message_Omsg))
% 17.06/3.07 | (c_lessequals @ X0 @ (c_Message_Oanalz @ X0) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg)))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 17.06/3.07 thf(zip_derived_cl18, plain,
% 17.06/3.07 (![X0 : $i]: (class_Orderings_Oorder @ (tc_set @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)], [clsarity_set_2])).
% 17.06/3.07 thf(zip_derived_cl29, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 (c_lessequals @ X0 @ (c_Message_Oanalz @ X0) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))),
% 17.06/3.07 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl18])).
% 17.06/3.07 thf(zip_derived_cl32, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 (c_lessequals @ (c_Message_Oparts @ X0) @ (c_Message_Oparts @ X0) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))),
% 17.06/3.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl29])).
% 17.06/3.07 thf(cls_Message_Oparts__subset__iff_0, axiom,
% 17.06/3.07 (( ~( c_lessequals @
% 17.06/3.07 ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @
% 17.06/3.07 ( tc_set @ tc_Message_Omsg ) ) ) |
% 17.06/3.07 ( c_lessequals @
% 17.06/3.07 V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_set @ tc_Message_Omsg ) ))).
% 17.06/3.07 thf(zip_derived_cl5, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (c_lessequals @ (c_Message_Oparts @ X0) @
% 17.06/3.07 (c_Message_Oparts @ X1) @ (tc_set @ tc_Message_Omsg))
% 17.06/3.07 | (c_lessequals @ X0 @ (c_Message_Oparts @ X1) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Message_Oparts__subset__iff_0])).
% 17.06/3.07 thf(zip_derived_cl47, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 (c_lessequals @ X0 @ (c_Message_Oparts @ X0) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 17.06/3.07 thf(cls_Set_Oinsert__subset_0, axiom,
% 17.06/3.07 (( ~( c_lessequals @
% 17.06/3.07 ( c_insert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_set @ T_a ) ) ) |
% 17.06/3.07 ( c_in @ V_x @ V_B @ T_a ))).
% 17.06/3.07 thf(zip_derived_cl14, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.06/3.07 (~ (c_lessequals @ (c_insert @ X0 @ X1 @ X2) @ X3 @ (tc_set @ X2))
% 17.06/3.07 | (c_in @ X0 @ X3 @ X2))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Set_Oinsert__subset_0])).
% 17.06/3.07 thf(zip_derived_cl92, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (c_in @ X1 @
% 17.06/3.07 (c_Message_Oparts @ (c_insert @ X1 @ X0 @ tc_Message_Omsg)) @
% 17.06/3.07 tc_Message_Omsg)),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl14])).
% 17.06/3.07 thf(zip_derived_cl2743, plain,
% 17.06/3.07 ( (c_in @ v_X @
% 17.06/3.07 (c_Message_Oparts @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H))) @
% 17.06/3.07 tc_Message_Omsg)),
% 17.06/3.07 inference('sup+', [status(thm)], [zip_derived_cl2717, zip_derived_cl92])).
% 17.06/3.07 thf(zip_derived_cl7, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 ((c_Message_Oparts @ (c_Message_Osynth @ X0))
% 17.06/3.07 = (c_union @ (c_Message_Oparts @ X0) @ (c_Message_Osynth @ X0) @
% 17.06/3.07 tc_Message_Omsg))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Message_Oparts__synth_0])).
% 17.06/3.07 thf(zip_derived_cl78, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.06/3.07 (c_lessequals @ X2 @ (c_union @ X2 @ X1 @ X0) @ (tc_set @ X0))),
% 17.06/3.07 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl18])).
% 17.06/3.07 thf(zip_derived_cl251, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 (c_lessequals @ (c_Message_Oparts @ X0) @
% 17.06/3.07 (c_Message_Oparts @ (c_Message_Osynth @ X0)) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))),
% 17.06/3.07 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl78])).
% 17.06/3.07 thf(zip_derived_cl5, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (c_lessequals @ (c_Message_Oparts @ X0) @
% 17.06/3.07 (c_Message_Oparts @ X1) @ (tc_set @ tc_Message_Omsg))
% 17.06/3.07 | (c_lessequals @ X0 @ (c_Message_Oparts @ X1) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Message_Oparts__subset__iff_0])).
% 17.06/3.07 thf(zip_derived_cl290, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 (c_lessequals @ X0 @ (c_Message_Oparts @ (c_Message_Osynth @ X0)) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl251, zip_derived_cl5])).
% 17.06/3.07 thf(zip_derived_cl2, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 ((c_Message_Oanalz @ (c_Message_Oparts @ X0))
% 17.06/3.07 = (c_Message_Oparts @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Message_Oanalz__parts_0])).
% 17.06/3.07 thf(zip_derived_cl3, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (c_lessequals @ (c_Message_Oanalz @ X0) @
% 17.06/3.07 (c_Message_Oanalz @ X1) @ (tc_set @ tc_Message_Omsg))
% 17.06/3.07 | (c_lessequals @ X0 @ (c_Message_Oanalz @ X1) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Message_Oanalz__subset__iff_0])).
% 17.06/3.07 thf(zip_derived_cl27, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (c_lessequals @ (c_Message_Oanalz @ X1) @
% 17.06/3.07 (c_Message_Oparts @ X0) @ (tc_set @ tc_Message_Omsg))
% 17.06/3.07 | (c_lessequals @ X1 @
% 17.06/3.07 (c_Message_Oanalz @ (c_Message_Oparts @ X0)) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg)))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 17.06/3.07 thf(zip_derived_cl2, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 ((c_Message_Oanalz @ (c_Message_Oparts @ X0))
% 17.06/3.07 = (c_Message_Oparts @ X0))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Message_Oanalz__parts_0])).
% 17.06/3.07 thf(zip_derived_cl30, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (c_lessequals @ (c_Message_Oanalz @ X1) @
% 17.06/3.07 (c_Message_Oparts @ X0) @ (tc_set @ tc_Message_Omsg))
% 17.06/3.07 | (c_lessequals @ X1 @ (c_Message_Oparts @ X0) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg)))),
% 17.06/3.07 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl2])).
% 17.06/3.07 thf(zip_derived_cl299, plain,
% 17.06/3.07 (![X0 : $i]:
% 17.06/3.07 (c_lessequals @ X0 @
% 17.06/3.07 (c_Message_Oparts @ (c_Message_Osynth @ (c_Message_Oanalz @ X0))) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl290, zip_derived_cl30])).
% 17.06/3.07 thf(zip_derived_cl16, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.06/3.07 (~ (c_in @ X0 @ X1 @ X2)
% 17.06/3.07 | ~ (c_lessequals @ X3 @ X1 @ (tc_set @ X2))
% 17.06/3.07 | (c_lessequals @ (c_insert @ X0 @ X3 @ X2) @ X1 @ (tc_set @ X2)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Set_Oinsert__subset_2])).
% 17.06/3.07 thf(zip_derived_cl319, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 ( (c_lessequals @ (c_insert @ X1 @ X0 @ tc_Message_Omsg) @
% 17.06/3.07 (c_Message_Oparts @ (c_Message_Osynth @ (c_Message_Oanalz @ X0))) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))
% 17.06/3.07 | ~ (c_in @ X1 @
% 17.06/3.07 (c_Message_Oparts @ (c_Message_Osynth @ (c_Message_Oanalz @ X0))) @
% 17.06/3.07 tc_Message_Omsg))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl299, zip_derived_cl16])).
% 17.06/3.07 thf(zip_derived_cl6790, plain,
% 17.06/3.07 ( (c_lessequals @ (c_insert @ v_X @ v_H @ tc_Message_Omsg) @
% 17.06/3.07 (c_Message_Oparts @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H))) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl2743, zip_derived_cl319])).
% 17.06/3.07 thf(cls_Message_Oparts__subset__iff_1, axiom,
% 17.06/3.07 (( ~( c_lessequals @
% 17.06/3.07 V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_set @ tc_Message_Omsg ) ) ) |
% 17.06/3.07 ( c_lessequals @
% 17.06/3.07 ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @
% 17.06/3.07 ( tc_set @ tc_Message_Omsg ) ))).
% 17.06/3.07 thf(zip_derived_cl6, plain,
% 17.06/3.07 (![X0 : $i, X1 : $i]:
% 17.06/3.07 (~ (c_lessequals @ X0 @ (c_Message_Oparts @ X1) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))
% 17.06/3.07 | (c_lessequals @ (c_Message_Oparts @ X0) @
% 17.06/3.07 (c_Message_Oparts @ X1) @ (tc_set @ tc_Message_Omsg)))),
% 17.06/3.07 inference('cnf', [status(esa)], [cls_Message_Oparts__subset__iff_1])).
% 17.06/3.07 thf(zip_derived_cl6809, plain,
% 17.06/3.07 ( (c_lessequals @
% 17.06/3.07 (c_Message_Oparts @ (c_insert @ v_X @ v_H @ tc_Message_Omsg)) @
% 17.06/3.07 (c_Message_Oparts @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H))) @
% 17.06/3.07 (tc_set @ tc_Message_Omsg))),
% 17.06/3.07 inference('sup-', [status(thm)], [zip_derived_cl6790, zip_derived_cl6])).
% 17.06/3.07 thf(zip_derived_cl17574, plain, ($false),
% 17.06/3.07 inference('demod', [status(thm)],
% 17.06/3.07 [zip_derived_cl1, zip_derived_cl17573, zip_derived_cl22,
% 17.06/3.07 zip_derived_cl6809])).
% 17.06/3.07
% 17.06/3.07 % SZS output end Refutation
% 17.06/3.07
% 17.06/3.07
% 17.06/3.07 % Terminating...
% 17.56/3.19 % Runner terminated.
% 17.56/3.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------