%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV276-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CTLUUh4d8z true
% Computer : n029.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 05:00:36 PM UTC 2025
% Result : Unsatisfiable 9.60s 1.94s
% Output : Refutation 9.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SWV276-2 : TPTP v9.2.0. Released v3.2.0.
% 0.09/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CTLUUh4d8z true
% 0.12/0.35 % Computer : n029.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 12:42:38 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.19/0.58 % Total configuration time : 435
% 0.19/0.58 % Estimated wc time : 1092
% 0.19/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 9.60/1.94 % Solved by fo/fo4.sh.
% 9.60/1.94 % done 314 iterations in 1.190s
% 9.60/1.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.60/1.94 % SZS output start Refutation
% 9.60/1.94 thf(v_sko__uhi_type, type, v_sko__uhi: $i > $i > $i).
% 9.60/1.94 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 9.60/1.94 thf(v_H_type, type, v_H: $i).
% 9.60/1.94 thf(c_Message_OinvKey_type, type, c_Message_OinvKey: $i > $i).
% 9.60/1.94 thf(v_G_type, type, v_G: $i).
% 9.60/1.94 thf(tc_nat_type, type, tc_nat: $i).
% 9.60/1.94 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 9.60/1.94 thf(v_K_type, type, v_K: $i).
% 9.60/1.94 thf(c_Message_OkeysFor_type, type, c_Message_OkeysFor: $i > $i).
% 9.60/1.94 thf(v_X_type, type, v_X: $i).
% 9.60/1.94 thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i > $i).
% 9.60/1.94 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 9.60/1.94 thf(c_union_type, type, c_union: $i > $i > $i > $i).
% 9.60/1.94 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 9.60/1.94 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 9.60/1.94 thf(tc_set_type, type, tc_set: $i > $i).
% 9.60/1.94 thf(c_Message_Oparts_type, type, c_Message_Oparts: $i > $i).
% 9.60/1.94 thf(c_Message_Osynth_type, type, c_Message_Osynth: $i > $i).
% 9.60/1.94 thf(cls_Message_Oparts__Un_0, axiom,
% 9.60/1.94 (( c_Message_Oparts @ ( c_union @ V_G @ V_H @ tc_Message_Omsg ) ) =
% 9.60/1.94 ( c_union @
% 9.60/1.94 ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @
% 9.60/1.94 tc_Message_Omsg ))).
% 9.60/1.94 thf(zip_derived_cl10, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 ((c_Message_Oparts @ (c_union @ X0 @ X1 @ tc_Message_Omsg))
% 9.60/1.94 = (c_union @ (c_Message_Oparts @ X0) @ (c_Message_Oparts @ X1) @
% 9.60/1.94 tc_Message_Omsg))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_Oparts__Un_0])).
% 9.60/1.94 thf(cls_Message_OkeysFor__Un_0, axiom,
% 9.60/1.94 (( c_Message_OkeysFor @ ( c_union @ V_H @ V_H_H @ tc_Message_Omsg ) ) =
% 9.60/1.94 ( c_union @
% 9.60/1.94 ( c_Message_OkeysFor @ V_H ) @ ( c_Message_OkeysFor @ V_H_H ) @ tc_nat ))).
% 9.60/1.94 thf(zip_derived_cl6, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 ((c_Message_OkeysFor @ (c_union @ X0 @ X1 @ tc_Message_Omsg))
% 9.60/1.94 = (c_union @ (c_Message_OkeysFor @ X0) @
% 9.60/1.94 (c_Message_OkeysFor @ X1) @ tc_nat))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_OkeysFor__Un_0])).
% 9.60/1.94 thf(cls_Set_OUn__iff_2, axiom,
% 9.60/1.94 (( ~( c_in @ V_c @ V_B @ T_a ) ) |
% 9.60/1.94 ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ))).
% 9.60/1.94 thf(zip_derived_cl14, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.60/1.94 (~ (c_in @ X0 @ X1 @ X2)
% 9.60/1.94 | (c_in @ X0 @ (c_union @ X3 @ X1 @ X2) @ X2))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Set_OUn__iff_2])).
% 9.60/1.94 thf(zip_derived_cl66, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.60/1.94 ( (c_in @ X2 @
% 9.60/1.94 (c_Message_OkeysFor @ (c_union @ X1 @ X0 @ tc_Message_Omsg)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | ~ (c_in @ X2 @ (c_Message_OkeysFor @ X0) @ tc_nat))),
% 9.60/1.94 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 9.60/1.94 thf(zip_derived_cl263, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.60/1.94 ( (c_in @ X2 @
% 9.60/1.94 (c_Message_OkeysFor @
% 9.60/1.94 (c_Message_Oparts @ (c_union @ X1 @ X0 @ tc_Message_Omsg))) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | ~ (c_in @ X2 @ (c_Message_OkeysFor @ (c_Message_Oparts @ X0)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl66])).
% 9.60/1.94 thf(cls_conjecture_2, conjecture,
% 9.60/1.94 (c_in @
% 9.60/1.94 v_K @
% 9.60/1.94 ( c_Message_OkeysFor @
% 9.60/1.94 ( c_Message_Oparts @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) ) @
% 9.60/1.94 tc_nat)).
% 9.60/1.94 thf(zf_stmt_0, negated_conjecture,
% 9.60/1.94 (~( c_in @
% 9.60/1.94 v_K @
% 9.60/1.94 ( c_Message_OkeysFor @
% 9.60/1.94 ( c_Message_Oparts @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) ) @
% 9.60/1.94 tc_nat )),
% 9.60/1.94 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 9.60/1.94 thf(zip_derived_cl17, plain,
% 9.60/1.94 (~ (c_in @ v_K @
% 9.60/1.94 (c_Message_OkeysFor @
% 9.60/1.94 (c_Message_Oparts @ (c_union @ v_G @ v_H @ tc_Message_Omsg))) @
% 9.60/1.94 tc_nat)),
% 9.60/1.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.60/1.94 thf(zip_derived_cl641, plain,
% 9.60/1.94 (~ (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oparts @ v_H)) @ tc_nat)),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl263, zip_derived_cl17])).
% 9.60/1.94 thf(cls_conjecture_1, conjecture,
% 9.60/1.94 (~( c_in @
% 9.60/1.94 v_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ v_H ) ) @
% 9.60/1.94 tc_Message_Omsg ))).
% 9.60/1.94 thf(zf_stmt_1, negated_conjecture,
% 9.60/1.94 (c_in @
% 9.60/1.94 v_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ v_H ) ) @ tc_Message_Omsg),
% 9.60/1.94 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 9.60/1.94 thf(zip_derived_cl16, plain,
% 9.60/1.94 ( (c_in @ v_X @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H)) @
% 9.60/1.94 tc_Message_Omsg)),
% 9.60/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.60/1.94 thf(cls_conjecture_0, conjecture,
% 9.60/1.94 (~( c_in @
% 9.60/1.94 v_K @
% 9.60/1.94 ( c_Message_OkeysFor @
% 9.60/1.94 ( c_Message_Oparts @ ( c_insert @ v_X @ v_G @ tc_Message_Omsg ) ) ) @
% 9.60/1.94 tc_nat ))).
% 9.60/1.94 thf(zf_stmt_2, negated_conjecture,
% 9.60/1.94 (c_in @
% 9.60/1.94 v_K @
% 9.60/1.94 ( c_Message_OkeysFor @
% 9.60/1.94 ( c_Message_Oparts @ ( c_insert @ v_X @ v_G @ tc_Message_Omsg ) ) ) @
% 9.60/1.94 tc_nat),
% 9.60/1.94 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 9.60/1.94 thf(zip_derived_cl15, plain,
% 9.60/1.94 ( (c_in @ v_K @
% 9.60/1.94 (c_Message_OkeysFor @
% 9.60/1.94 (c_Message_Oparts @ (c_insert @ v_X @ v_G @ tc_Message_Omsg))) @
% 9.60/1.94 tc_nat)),
% 9.60/1.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.60/1.94 thf(cls_Message_Oparts__insert__subset__Un_0, axiom,
% 9.60/1.94 (( ~( c_in @ V_X @ V_G @ tc_Message_Omsg ) ) |
% 9.60/1.94 ( c_lessequals @
% 9.60/1.94 ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @
% 9.60/1.94 ( c_union @
% 9.60/1.94 ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @
% 9.60/1.94 tc_Message_Omsg ) @
% 9.60/1.94 ( tc_set @ tc_Message_Omsg ) ))).
% 9.60/1.94 thf(zip_derived_cl8, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.60/1.94 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 9.60/1.94 | (c_lessequals @
% 9.60/1.94 (c_Message_Oparts @ (c_insert @ X0 @ X2 @ tc_Message_Omsg)) @
% 9.60/1.94 (c_union @ (c_Message_Oparts @ X1) @ (c_Message_Oparts @ X2) @
% 9.60/1.94 tc_Message_Omsg) @
% 9.60/1.94 (tc_set @ tc_Message_Omsg)))),
% 9.60/1.94 inference('cnf', [status(esa)],
% 9.60/1.94 [cls_Message_Oparts__insert__subset__Un_0])).
% 9.60/1.94 thf(zip_derived_cl10, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 ((c_Message_Oparts @ (c_union @ X0 @ X1 @ tc_Message_Omsg))
% 9.60/1.94 = (c_union @ (c_Message_Oparts @ X0) @ (c_Message_Oparts @ X1) @
% 9.60/1.94 tc_Message_Omsg))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_Oparts__Un_0])).
% 9.60/1.94 thf(zip_derived_cl71, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.60/1.94 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 9.60/1.94 | (c_lessequals @
% 9.60/1.94 (c_Message_Oparts @ (c_insert @ X0 @ X2 @ tc_Message_Omsg)) @
% 9.60/1.94 (c_Message_Oparts @ (c_union @ X1 @ X2 @ tc_Message_Omsg)) @
% 9.60/1.94 (tc_set @ tc_Message_Omsg)))),
% 9.60/1.94 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl10])).
% 9.60/1.94 thf(cls_Message_OkeysFor__mono_0, axiom,
% 9.60/1.94 (( ~( c_lessequals @ V_G @ V_H @ ( tc_set @ tc_Message_Omsg ) ) ) |
% 9.60/1.94 ( c_lessequals @
% 9.60/1.94 ( c_Message_OkeysFor @ V_G ) @ ( c_Message_OkeysFor @ V_H ) @
% 9.60/1.94 ( tc_set @ tc_nat ) ))).
% 9.60/1.94 thf(zip_derived_cl5, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ tc_Message_Omsg))
% 9.60/1.94 | (c_lessequals @ (c_Message_OkeysFor @ X0) @
% 9.60/1.94 (c_Message_OkeysFor @ X1) @ (tc_set @ tc_nat)))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_OkeysFor__mono_0])).
% 9.60/1.94 thf(cls_Set_OsubsetD_0, axiom,
% 9.60/1.94 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 9.60/1.94 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 9.60/1.94 ( c_in @ V_c @ V_B @ T_a ))).
% 9.60/1.94 thf(zip_derived_cl11, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.60/1.94 (~ (c_in @ X0 @ X1 @ X2)
% 9.60/1.94 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 9.60/1.94 | (c_in @ X0 @ X3 @ X2))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 9.60/1.94 thf(zip_derived_cl70, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.60/1.94 (~ (c_lessequals @ X1 @ X0 @ (tc_set @ tc_Message_Omsg))
% 9.60/1.94 | (c_in @ X2 @ (c_Message_OkeysFor @ X0) @ tc_nat)
% 9.60/1.94 | ~ (c_in @ X2 @ (c_Message_OkeysFor @ X1) @ tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 9.60/1.94 thf(zip_derived_cl81, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.60/1.94 (~ (c_in @ X2 @ X1 @ tc_Message_Omsg)
% 9.60/1.94 | ~ (c_in @ X3 @
% 9.60/1.94 (c_Message_OkeysFor @
% 9.60/1.94 (c_Message_Oparts @ (c_insert @ X2 @ X0 @ tc_Message_Omsg))) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ X3 @
% 9.60/1.94 (c_Message_OkeysFor @
% 9.60/1.94 (c_Message_Oparts @ (c_union @ X1 @ X0 @ tc_Message_Omsg))) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl70])).
% 9.60/1.94 thf(zip_derived_cl134, plain,
% 9.60/1.94 (![X0 : $i]:
% 9.60/1.94 ( (c_in @ v_K @
% 9.60/1.94 (c_Message_OkeysFor @
% 9.60/1.94 (c_Message_Oparts @ (c_union @ X0 @ v_G @ tc_Message_Omsg))) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | ~ (c_in @ v_X @ X0 @ tc_Message_Omsg))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl81])).
% 9.60/1.94 thf(zip_derived_cl10, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 ((c_Message_Oparts @ (c_union @ X0 @ X1 @ tc_Message_Omsg))
% 9.60/1.94 = (c_union @ (c_Message_Oparts @ X0) @ (c_Message_Oparts @ X1) @
% 9.60/1.94 tc_Message_Omsg))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_Oparts__Un_0])).
% 9.60/1.94 thf(zip_derived_cl6, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 ((c_Message_OkeysFor @ (c_union @ X0 @ X1 @ tc_Message_Omsg))
% 9.60/1.94 = (c_union @ (c_Message_OkeysFor @ X0) @
% 9.60/1.94 (c_Message_OkeysFor @ X1) @ tc_nat))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_OkeysFor__Un_0])).
% 9.60/1.94 thf(cls_Set_OUn__iff_0, axiom,
% 9.60/1.94 (( ~( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ) ) |
% 9.60/1.94 ( c_in @ V_c @ V_B @ T_a ) | ( c_in @ V_c @ V_A @ T_a ))).
% 9.60/1.94 thf(zip_derived_cl12, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.60/1.94 (~ (c_in @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3)
% 9.60/1.94 | (c_in @ X0 @ X2 @ X3)
% 9.60/1.94 | (c_in @ X0 @ X1 @ X3))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Set_OUn__iff_0])).
% 9.60/1.94 thf(zip_derived_cl21, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.60/1.94 (~ (c_in @ X2 @
% 9.60/1.94 (c_Message_OkeysFor @ (c_union @ X1 @ X0 @ tc_Message_Omsg)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ X2 @ (c_Message_OkeysFor @ X1) @ tc_nat)
% 9.60/1.94 | (c_in @ X2 @ (c_Message_OkeysFor @ X0) @ tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 9.60/1.94 thf(zip_derived_cl59, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.60/1.94 (~ (c_in @ X2 @
% 9.60/1.94 (c_Message_OkeysFor @
% 9.60/1.94 (c_Message_Oparts @ (c_union @ X1 @ X0 @ tc_Message_Omsg))) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ X2 @ (c_Message_OkeysFor @ (c_Message_Oparts @ X0)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ X2 @ (c_Message_OkeysFor @ (c_Message_Oparts @ X1)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl21])).
% 9.60/1.94 thf(zip_derived_cl3143, plain,
% 9.60/1.94 (![X0 : $i]:
% 9.60/1.94 (~ (c_in @ v_X @ X0 @ tc_Message_Omsg)
% 9.60/1.94 | (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oparts @ X0)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oparts @ v_G)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl59])).
% 9.60/1.94 thf(zip_derived_cl10, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 ((c_Message_Oparts @ (c_union @ X0 @ X1 @ tc_Message_Omsg))
% 9.60/1.94 = (c_union @ (c_Message_Oparts @ X0) @ (c_Message_Oparts @ X1) @
% 9.60/1.94 tc_Message_Omsg))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_Oparts__Un_0])).
% 9.60/1.94 thf(zip_derived_cl6, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 ((c_Message_OkeysFor @ (c_union @ X0 @ X1 @ tc_Message_Omsg))
% 9.60/1.94 = (c_union @ (c_Message_OkeysFor @ X0) @
% 9.60/1.94 (c_Message_OkeysFor @ X1) @ tc_nat))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_OkeysFor__Un_0])).
% 9.60/1.94 thf(cls_Set_OUn__iff_1, axiom,
% 9.60/1.94 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 9.60/1.94 ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ))).
% 9.60/1.94 thf(zip_derived_cl13, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.60/1.94 (~ (c_in @ X0 @ X1 @ X2)
% 9.60/1.94 | (c_in @ X0 @ (c_union @ X1 @ X3 @ X2) @ X2))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Set_OUn__iff_1])).
% 9.60/1.94 thf(zip_derived_cl61, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.60/1.94 ( (c_in @ X2 @
% 9.60/1.94 (c_Message_OkeysFor @ (c_union @ X1 @ X0 @ tc_Message_Omsg)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | ~ (c_in @ X2 @ (c_Message_OkeysFor @ X1) @ tc_nat))),
% 9.60/1.94 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl13])).
% 9.60/1.94 thf(zip_derived_cl133, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.60/1.94 ( (c_in @ X2 @
% 9.60/1.94 (c_Message_OkeysFor @
% 9.60/1.94 (c_Message_Oparts @ (c_union @ X1 @ X0 @ tc_Message_Omsg))) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | ~ (c_in @ X2 @ (c_Message_OkeysFor @ (c_Message_Oparts @ X1)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl61])).
% 9.60/1.94 thf(zip_derived_cl17, plain,
% 9.60/1.94 (~ (c_in @ v_K @
% 9.60/1.94 (c_Message_OkeysFor @
% 9.60/1.94 (c_Message_Oparts @ (c_union @ v_G @ v_H @ tc_Message_Omsg))) @
% 9.60/1.94 tc_nat)),
% 9.60/1.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.60/1.94 thf(zip_derived_cl586, plain,
% 9.60/1.94 (~ (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oparts @ v_G)) @ tc_nat)),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl17])).
% 9.60/1.94 thf(zip_derived_cl3210, plain,
% 9.60/1.94 (![X0 : $i]:
% 9.60/1.94 ( (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oparts @ X0)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | ~ (c_in @ v_X @ X0 @ tc_Message_Omsg))),
% 9.60/1.94 inference('clc', [status(thm)], [zip_derived_cl3143, zip_derived_cl586])).
% 9.60/1.94 thf(cls_Message_Oparts__synth_0, axiom,
% 9.60/1.94 (( c_Message_Oparts @ ( c_Message_Osynth @ V_H ) ) =
% 9.60/1.94 ( c_union @
% 9.60/1.94 ( c_Message_Oparts @ V_H ) @ ( c_Message_Osynth @ V_H ) @
% 9.60/1.94 tc_Message_Omsg ))).
% 9.60/1.94 thf(zip_derived_cl9, plain,
% 9.60/1.94 (![X0 : $i]:
% 9.60/1.94 ((c_Message_Oparts @ (c_Message_Osynth @ X0))
% 9.60/1.94 = (c_union @ (c_Message_Oparts @ X0) @ (c_Message_Osynth @ X0) @
% 9.60/1.94 tc_Message_Omsg))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_Oparts__synth_0])).
% 9.60/1.94 thf(zip_derived_cl21, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.60/1.94 (~ (c_in @ X2 @
% 9.60/1.94 (c_Message_OkeysFor @ (c_union @ X1 @ X0 @ tc_Message_Omsg)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ X2 @ (c_Message_OkeysFor @ X1) @ tc_nat)
% 9.60/1.94 | (c_in @ X2 @ (c_Message_OkeysFor @ X0) @ tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 9.60/1.94 thf(zip_derived_cl57, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 (~ (c_in @ X1 @
% 9.60/1.94 (c_Message_OkeysFor @ (c_Message_Oparts @ (c_Message_Osynth @ X0))) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ X1 @ (c_Message_OkeysFor @ (c_Message_Osynth @ X0)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ X1 @ (c_Message_OkeysFor @ (c_Message_Oparts @ X0)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl21])).
% 9.60/1.94 thf(zip_derived_cl3211, plain,
% 9.60/1.94 (![X0 : $i]:
% 9.60/1.94 (~ (c_in @ v_X @ (c_Message_Osynth @ X0) @ tc_Message_Omsg)
% 9.60/1.94 | (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oparts @ X0)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Osynth @ X0)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl3210, zip_derived_cl57])).
% 9.60/1.94 thf(zip_derived_cl3391, plain,
% 9.60/1.94 (( (c_in @ v_K @
% 9.60/1.94 (c_Message_OkeysFor @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H))) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ v_K @
% 9.60/1.94 (c_Message_OkeysFor @ (c_Message_Oparts @ (c_Message_Oanalz @ v_H))) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl3211])).
% 9.60/1.94 thf(cls_Message_Oparts__analz_0, axiom,
% 9.60/1.94 (( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) ) =
% 9.60/1.94 ( c_Message_Oparts @ V_H ))).
% 9.60/1.94 thf(zip_derived_cl7, plain,
% 9.60/1.94 (![X0 : $i]:
% 9.60/1.94 ((c_Message_Oparts @ (c_Message_Oanalz @ X0))
% 9.60/1.94 = (c_Message_Oparts @ X0))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_Oparts__analz_0])).
% 9.60/1.94 thf(zip_derived_cl641, plain,
% 9.60/1.94 (~ (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oparts @ v_H)) @ tc_nat)),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl263, zip_derived_cl17])).
% 9.60/1.94 thf(zip_derived_cl3392, plain,
% 9.60/1.94 ( (c_in @ v_K @
% 9.60/1.94 (c_Message_OkeysFor @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H))) @
% 9.60/1.94 tc_nat)),
% 9.60/1.94 inference('demod', [status(thm)],
% 9.60/1.94 [zip_derived_cl3391, zip_derived_cl7, zip_derived_cl641])).
% 9.60/1.94 thf(cls_Event_OkeysFor__synth_H_0, axiom,
% 9.60/1.94 (( ~( c_in @
% 9.60/1.94 V_K @ ( c_Message_OkeysFor @ ( c_Message_Osynth @ V_H ) ) @ tc_nat ) ) |
% 9.60/1.94 ( c_in @ V_K @ ( c_Message_OkeysFor @ V_H ) @ tc_nat ) |
% 9.60/1.94 ( c_in @
% 9.60/1.94 ( c_Message_Omsg_OKey @ ( v_sko__uhi @ V_H @ V_K ) ) @ V_H @
% 9.60/1.94 tc_Message_Omsg ))).
% 9.60/1.94 thf(zip_derived_cl0, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 (~ (c_in @ X0 @ (c_Message_OkeysFor @ (c_Message_Osynth @ X1)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ X0 @ (c_Message_OkeysFor @ X1) @ tc_nat)
% 9.60/1.94 | (c_in @ (c_Message_Omsg_OKey @ (v_sko__uhi @ X1 @ X0)) @ X1 @
% 9.60/1.94 tc_Message_Omsg))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Event_OkeysFor__synth_H_0])).
% 9.60/1.94 thf(zip_derived_cl3393, plain,
% 9.60/1.94 (( (c_in @
% 9.60/1.94 (c_Message_Omsg_OKey @ (v_sko__uhi @ (c_Message_Oanalz @ v_H) @ v_K)) @
% 9.60/1.94 (c_Message_Oanalz @ v_H) @ tc_Message_Omsg)
% 9.60/1.94 | (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oanalz @ v_H)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl3392, zip_derived_cl0])).
% 9.60/1.94 thf(zip_derived_cl3392, plain,
% 9.60/1.94 ( (c_in @ v_K @
% 9.60/1.94 (c_Message_OkeysFor @ (c_Message_Osynth @ (c_Message_Oanalz @ v_H))) @
% 9.60/1.94 tc_nat)),
% 9.60/1.94 inference('demod', [status(thm)],
% 9.60/1.94 [zip_derived_cl3391, zip_derived_cl7, zip_derived_cl641])).
% 9.60/1.94 thf(cls_Event_OkeysFor__synth_H_1, axiom,
% 9.60/1.94 (( ~( c_in @
% 9.60/1.94 V_K @ ( c_Message_OkeysFor @ ( c_Message_Osynth @ V_H ) ) @ tc_nat ) ) |
% 9.60/1.94 ( c_in @ V_K @ ( c_Message_OkeysFor @ V_H ) @ tc_nat ) |
% 9.60/1.94 ( ( V_K ) = ( c_Message_OinvKey @ ( v_sko__uhi @ V_H @ V_K ) ) ))).
% 9.60/1.94 thf(zip_derived_cl1, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 (~ (c_in @ X0 @ (c_Message_OkeysFor @ (c_Message_Osynth @ X1)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ X0 @ (c_Message_OkeysFor @ X1) @ tc_nat)
% 9.60/1.94 | ((X0) = (c_Message_OinvKey @ (v_sko__uhi @ X1 @ X0))))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Event_OkeysFor__synth_H_1])).
% 9.60/1.94 thf(zip_derived_cl3394, plain,
% 9.60/1.94 ((((v_K)
% 9.60/1.94 = (c_Message_OinvKey @ (v_sko__uhi @ (c_Message_Oanalz @ v_H) @ v_K)))
% 9.60/1.94 | (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oanalz @ v_H)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl3392, zip_derived_cl1])).
% 9.60/1.94 thf(cls_Message_Oanalz__subset__parts_0, axiom,
% 9.60/1.94 (c_lessequals @
% 9.60/1.94 ( c_Message_Oanalz @ V_H ) @ ( c_Message_Oparts @ V_H ) @
% 9.60/1.94 ( tc_set @ tc_Message_Omsg ))).
% 9.60/1.94 thf(zip_derived_cl3, plain,
% 9.60/1.94 (![X0 : $i]:
% 9.60/1.94 (c_lessequals @ (c_Message_Oanalz @ X0) @ (c_Message_Oparts @ X0) @
% 9.60/1.94 (tc_set @ tc_Message_Omsg))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_Oanalz__subset__parts_0])).
% 9.60/1.94 thf(zip_derived_cl70, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.60/1.94 (~ (c_lessequals @ X1 @ X0 @ (tc_set @ tc_Message_Omsg))
% 9.60/1.94 | (c_in @ X2 @ (c_Message_OkeysFor @ X0) @ tc_nat)
% 9.60/1.94 | ~ (c_in @ X2 @ (c_Message_OkeysFor @ X1) @ tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 9.60/1.94 thf(zip_derived_cl78, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 (~ (c_in @ X1 @ (c_Message_OkeysFor @ (c_Message_Oanalz @ X0)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ X1 @ (c_Message_OkeysFor @ (c_Message_Oparts @ X0)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl70])).
% 9.60/1.94 thf(zip_derived_cl3395, plain,
% 9.60/1.94 ((((v_K)
% 9.60/1.94 = (c_Message_OinvKey @ (v_sko__uhi @ (c_Message_Oanalz @ v_H) @ v_K)))
% 9.60/1.94 | (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oparts @ v_H)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl3394, zip_derived_cl78])).
% 9.60/1.94 thf(zip_derived_cl641, plain,
% 9.60/1.94 (~ (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oparts @ v_H)) @ tc_nat)),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl263, zip_derived_cl17])).
% 9.60/1.94 thf(zip_derived_cl3397, plain,
% 9.60/1.94 (((v_K)
% 9.60/1.94 = (c_Message_OinvKey @ (v_sko__uhi @ (c_Message_Oanalz @ v_H) @ v_K)))),
% 9.60/1.94 inference('clc', [status(thm)], [zip_derived_cl3395, zip_derived_cl641])).
% 9.60/1.94 thf(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0, axiom,
% 9.60/1.94 (( c_Message_OinvKey @ ( c_Message_OinvKey @ V_y ) ) = ( V_y ))).
% 9.60/1.94 thf(zip_derived_cl4, plain,
% 9.60/1.94 (![X0 : $i]: ((c_Message_OinvKey @ (c_Message_OinvKey @ X0)) = (X0))),
% 9.60/1.94 inference('cnf', [status(esa)],
% 9.60/1.94 [cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0])).
% 9.60/1.94 thf(zip_derived_cl3398, plain,
% 9.60/1.94 (((c_Message_OinvKey @ v_K)
% 9.60/1.94 = (v_sko__uhi @ (c_Message_Oanalz @ v_H) @ v_K))),
% 9.60/1.94 inference('sup+', [status(thm)], [zip_derived_cl3397, zip_derived_cl4])).
% 9.60/1.94 thf(zip_derived_cl3433, plain,
% 9.60/1.94 (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 9.60/1.94 (c_Message_Oanalz @ v_H) @ tc_Message_Omsg)
% 9.60/1.94 | (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oanalz @ v_H)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('demod', [status(thm)],
% 9.60/1.94 [zip_derived_cl3393, zip_derived_cl3398])).
% 9.60/1.94 thf(cls_Message_Oanalz__conj__parts_0, axiom,
% 9.60/1.94 (( ~( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) |
% 9.60/1.94 ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ))).
% 9.60/1.94 thf(zip_derived_cl2, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 (~ (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg)
% 9.60/1.94 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 9.60/1.94 inference('cnf', [status(esa)], [cls_Message_Oanalz__conj__parts_0])).
% 9.60/1.94 thf(zip_derived_cl3434, plain,
% 9.60/1.94 (( (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oanalz @ v_H)) @ tc_nat)
% 9.60/1.94 | (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 9.60/1.94 (c_Message_Oparts @ v_H) @ tc_Message_Omsg))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl3433, zip_derived_cl2])).
% 9.60/1.94 thf(cls_conjecture_3, conjecture,
% 9.60/1.94 (c_in @
% 9.60/1.94 ( c_Message_Omsg_OKey @ ( c_Message_OinvKey @ v_K ) ) @
% 9.60/1.94 ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg)).
% 9.60/1.94 thf(zf_stmt_3, negated_conjecture,
% 9.60/1.94 (~( c_in @
% 9.60/1.94 ( c_Message_Omsg_OKey @ ( c_Message_OinvKey @ v_K ) ) @
% 9.60/1.94 ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg )),
% 9.60/1.94 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 9.60/1.94 thf(zip_derived_cl18, plain,
% 9.60/1.94 (~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 9.60/1.94 (c_Message_Oparts @ v_H) @ tc_Message_Omsg)),
% 9.60/1.94 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.60/1.94 thf(zip_derived_cl3436, plain,
% 9.60/1.94 ( (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oanalz @ v_H)) @ tc_nat)),
% 9.60/1.94 inference('clc', [status(thm)], [zip_derived_cl3434, zip_derived_cl18])).
% 9.60/1.94 thf(zip_derived_cl78, plain,
% 9.60/1.94 (![X0 : $i, X1 : $i]:
% 9.60/1.94 (~ (c_in @ X1 @ (c_Message_OkeysFor @ (c_Message_Oanalz @ X0)) @
% 9.60/1.94 tc_nat)
% 9.60/1.94 | (c_in @ X1 @ (c_Message_OkeysFor @ (c_Message_Oparts @ X0)) @
% 9.60/1.94 tc_nat))),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl70])).
% 9.60/1.94 thf(zip_derived_cl3437, plain,
% 9.60/1.94 ( (c_in @ v_K @ (c_Message_OkeysFor @ (c_Message_Oparts @ v_H)) @ tc_nat)),
% 9.60/1.94 inference('sup-', [status(thm)], [zip_derived_cl3436, zip_derived_cl78])).
% 9.60/1.94 thf(zip_derived_cl3439, plain, ($false),
% 9.60/1.94 inference('demod', [status(thm)], [zip_derived_cl641, zip_derived_cl3437])).
% 9.60/1.94
% 9.60/1.94 % SZS output end Refutation
% 9.60/1.94
% 9.60/1.94
% 9.60/1.94 % Terminating...
% 9.60/2.04 % Runner terminated.
% 9.60/2.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------